diff --git a/.gitattributes b/.gitattributes index ad29ab287568e7a9bf2f4bdeedb2762aa3ae37c2..3a3fb45bf1ce5f3722f3e52ab7a1e658c574af5a 100644 --- a/.gitattributes +++ b/.gitattributes @@ -526,3 +526,5 @@ BP_StandardShelf11/Props/SideGuardPlate.usd filter=lfs diff=lfs merge=lfs -text BP_IndependentShelf3/Props/SM_Cart1.usd filter=lfs diff=lfs merge=lfs -text BP_IndependentShelf5/Props/Combined_F04FDE70.usd filter=lfs diff=lfs merge=lfs -text BP_IndependentShelf6/Props/Combined_61E8243B.usd filter=lfs diff=lfs merge=lfs -text +Shelf/BP_Freezer7/Props/BackPlate.usd filter=lfs diff=lfs merge=lfs -text +Shelf/BP_StorageShelf2/Props/SideGuardPlate.usd filter=lfs diff=lfs merge=lfs -text diff --git a/Shelf/BP_Freezer1/.thumbs/256x256/instance_phys.usd.png b/Shelf/BP_Freezer1/.thumbs/256x256/instance_phys.usd.png new file mode 100644 index 0000000000000000000000000000000000000000..354d2b8846a45134fc8011712e85383adcc83597 --- /dev/null +++ b/Shelf/BP_Freezer1/.thumbs/256x256/instance_phys.usd.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:c41caae3242485174c31b7fd8dd965dfd97dc9845455379a152b8f89df4fa679 +size 47798 diff --git a/Shelf/BP_Freezer1/Materials/MI_Freezer_02.mdl b/Shelf/BP_Freezer1/Materials/MI_Freezer_02.mdl new file mode 100644 index 0000000000000000000000000000000000000000..1f416e2e60ce442bd8d44f9e9ffd6ea71300bd74 --- /dev/null +++ b/Shelf/BP_Freezer1/Materials/MI_Freezer_02.mdl @@ -0,0 +1,108 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material MI_Freezer_02( + uniform texture_2d Normal = texture_2d("./Textures/DefaultNormal.png",::tex::gamma_linear) + [[ + anno::display_name("Normal"), + anno::ui_order(32), + sampler_normal() + ]], + float Brightness = 1.0 + [[ + anno::display_name("Brightness"), + anno::ui_order(32) + ]], + float4 Color = float4(1.0,1.0,1.0,1.0) + [[ + anno::display_name("Color"), + anno::ui_order(32) + ]], + float Hue = 0.0 + [[ + anno::display_name("Hue"), + anno::ui_order(32) + ]], + uniform texture_2d Albedo = texture_2d("./Textures/DefaultDiffuse.png",::tex::gamma_srgb) + [[ + anno::display_name("Albedo"), + anno::ui_order(32), + sampler_color() + ]], + float Desaturate = 0.0 + [[ + anno::display_name("Desaturate"), + anno::ui_order(32) + ]], + uniform texture_2d AORM = texture_2d("./Textures/DefaultDiffuse_TC_Masks.png",::tex::gamma_linear) + [[ + anno::display_name("AORM"), + anno::ui_order(32), + sampler_masks() + ]], + float Roughness = 1.0 + [[ + anno::display_name("Roughness"), + anno::ui_order(32) + ]], + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + float4 Local0 = ::unpack_normal_map(tex::lookup_float4(Normal,float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat)); + + float3 Normal_mdl = float3(Local0.x,Local0.y,Local0.z); + + float Local1 = (Hue * 6.283185); + float3 Local2 = math::normalize(float3(1.0,1.0,1.0)); + float4 Local3 = tex::lookup_float4(Albedo,float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float3 Local4 = ::rotate_about_axis(float4(Local2.x,Local2.y,Local2.z,Local1),float3(0.0,0.0,0.0),float3(Local3.x,Local3.y,Local3.z)); + float3 Local5 = (Local4 + float3(Local3.x,Local3.y,Local3.z)); + float Local6 = math::dot(Local5, float3(0.3,0.59,0.11)); + float3 Local7 = math::lerp(Local5,float3(Local6,Local6,Local6),Desaturate); + float3 Local8 = (float3(Color.x,Color.y,Color.z) * Local7); + float3 Local9 = (Brightness * Local8); + float4 Local10 = tex::lookup_float4(AORM,float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float Local11 = (Roughness * Local10.y); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float OpacityMask_mdl = 1.0; + float3 BaseColor_mdl = Local9; + float Metallic_mdl = Local10.z; + float Specular_mdl = 0.2; + float Roughness_mdl = Local11; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_Freezer1/Materials/MI_Gray.mdl b/Shelf/BP_Freezer1/Materials/MI_Gray.mdl new file mode 100644 index 0000000000000000000000000000000000000000..608abdfecc890834cd2df20445d0b988760a5907 --- /dev/null +++ b/Shelf/BP_Freezer1/Materials/MI_Gray.mdl @@ -0,0 +1,62 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material MI_Gray( + float4 Color = float4(1.0,1.0,1.0,1.0) + [[ + anno::display_name("Color"), + anno::ui_order(32) + ]], + float Metalness = 0.0 + [[ + anno::display_name("Metalness"), + anno::ui_order(32) + ]], + float Roughness = 0.6 + [[ + anno::display_name("Roughness"), + anno::ui_order(32) + ]]) + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + + + float3 Normal_mdl = float3(0.0,0.0,1.0); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float OpacityMask_mdl = 1.0; + float3 BaseColor_mdl = float3(Color.x,Color.y,Color.z); + float Metallic_mdl = Metalness; + float Specular_mdl = 0.5; + float Roughness_mdl = Roughness; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_Freezer1/Materials/MI_Transparent.mdl b/Shelf/BP_Freezer1/Materials/MI_Transparent.mdl new file mode 100644 index 0000000000000000000000000000000000000000..086cb1afddd9dc9bfae44775cfcf8a7bd51ae5f0 --- /dev/null +++ b/Shelf/BP_Freezer1/Materials/MI_Transparent.mdl @@ -0,0 +1,76 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Translucent import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material MI_Transparent( + float Color = 1.0 + [[ + anno::display_name("Color"), + anno::ui_order(32) + ]], + float Metallic = 1.0 + [[ + anno::display_name("Metallic"), + anno::ui_order(32) + ]], + float Specular = 1.0 + [[ + anno::display_name("Specular"), + anno::ui_order(32) + ]], + float Roughness = 0.0 + [[ + anno::display_name("Roughness"), + anno::ui_order(32) + ]], + float Opacity = 0.5 + [[ + anno::display_name("Opacity"), + anno::ui_order(32) + ]]) + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + + + float3 Normal_mdl = float3(0.0,0.0,1.0); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float Opacity_mdl = Opacity; + float OpacityMask_mdl = (math::saturate(Opacity) - 1.0f / 255.0f) < 0.0f ? 0.0f : 1.0f; + float3 BaseColor_mdl = float3(Color,Color,Color); + float Metallic_mdl = Metallic; + float Specular_mdl = Specular; + float Roughness_mdl = Roughness; + float3 Refraction_mdl = math::max(float3(1.0,0.0,0.0), 1.0f); + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Translucent( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: Opacity_mdl, + opacity_mask: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + refraction: Refraction_mdl.x, + two_sided: false); diff --git a/Shelf/BP_Freezer1/Materials/OmniUe4Base.mdl b/Shelf/BP_Freezer1/Materials/OmniUe4Base.mdl new file mode 100644 index 0000000000000000000000000000000000000000..a441fbaf28040302c7aaabfbcf14b24a85bdf643 --- /dev/null +++ b/Shelf/BP_Freezer1/Materials/OmniUe4Base.mdl @@ -0,0 +1,224 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.0 - first version +//* 1.0.1 - merge unlit template +//* 1.0.2 - Fix EDF in the back side: the EDF contained in surface is only used for the front side and not for the back side +//* 1.0.3 - UE4 normal mapping: Geometry normal shouldn't be changed +//* 1.0.4 - using absolute import paths when importing standard modules + +mdl 1.3; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + +float emissive_multiplier() +[[ + anno::description("the multiplier to convert UE4 emissive to raw data"), + anno::noinline() +]] +{ + return 20.0f * 128.0f; +} + +float3 tangent_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in tangent space"), + anno::noinline() +]] +{ + return math::normalize( + tangent_u * normal.x - /* flip_tangent_v */ + tangent_v * normal.y + + state::normal() * (normal.z)); +} + +float3 world_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in world space"), + anno::noinline() +]] +{ + return tangent_space_normal( + math::normalize( + normal.x * float3(tangent_u.x, tangent_v.x, state::normal().x) - + normal.y * float3(tangent_u.y, tangent_v.y, state::normal().y) + + normal.z * float3(tangent_u.z, tangent_v.z, state::normal().z)), + tangent_u, + tangent_v + ); +} + +export material OmniUe4Base( + float3 base_color = float3(0.0, 0.0, 0.0), + float metallic = 0.0, + float roughness = 0.5, + float specular = 0.5, + float3 normal = float3(0.0,0.0,1.0), + float clearcoat_weight = 0.0, + float clearcoat_roughness = 0.0, + float3 clearcoat_normal = float3(0.0,0.0,1.0), + uniform bool enable_opacity = true, + float opacity = 1.0, + float3 emissive_color = float3(0.0, 0.0, 0.0), + float3 displacement = float3(0.0), + uniform bool is_tangent_space_normal = true, + uniform bool two_sided = false, + uniform bool is_unlit = false +) +[[ + anno::display_name("Omni UE4 Base"), + anno::description("Omni UE4 Base, supports UE4 default lit and clearcoat shading model"), + anno::version( 1, 0, 0), + anno::author("NVIDIA CORPORATION"), + anno::key_words(string[]("omni", "UE4", "omniverse", "lit", "clearcoat", "generic")) +]] + = let { + color final_base_color = math::saturate(base_color); + float final_metallic = math::saturate(metallic); + float final_roughness = math::saturate(roughness); + float final_specular = math::saturate(specular); + color final_emissive_color = math::max(emissive_color, 0.0f) * emissive_multiplier(); /*factor for converting ue4 emissive to raw value*/ + float final_clearcoat_weight = math::saturate(clearcoat_weight); + float final_clearcoat_roughness = math::saturate(clearcoat_roughness); + float3 final_normal = math::normalize(normal); + float3 final_clearcoat_normal = math::normalize(clearcoat_normal); + + // - compute final roughness by squaring the "roughness" parameter + float alpha = final_roughness * final_roughness; + // reduce the reflectivity at grazing angles to avoid "dark edges" for high roughness due to the layering + float grazing_refl = math::max((1.0 - final_roughness), 0.0); + + float3 the_normal = is_unlit ? state::normal() : + (is_tangent_space_normal ? + tangent_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + )); + + // for the dielectric component we layer the glossy component on top of the diffuse one, + // the glossy layer has no color tint + + bsdf dielectric_component = df::custom_curve_layer( + weight: final_specular, + normal_reflectivity: 0.08, + grazing_reflectivity: grazing_refl, + layer: df::microfacet_ggx_smith_bsdf(roughness_u: alpha), + base: df::diffuse_reflection_bsdf(tint: final_base_color), + normal: the_normal); + + // the metallic component doesn't have a diffuse component, it's only glossy + // base_color is applied to tint it + bsdf metallic_component = df::microfacet_ggx_smith_bsdf(tint: final_base_color, roughness_u: alpha); + + // final BSDF is a linear blend between dielectric and metallic component + bsdf dielectric_metal_mix = + df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: metallic_component, + weight: final_metallic), + df::bsdf_component( + component: dielectric_component, + weight: 1.0-final_metallic) + ) + ); + + // clearcoat layer + float clearcoat_grazing_refl = math::max((1.0 - final_clearcoat_roughness), 0.0); + float clearcoat_alpha = final_clearcoat_roughness * final_clearcoat_roughness; + + float3 the_clearcoat_normal = is_tangent_space_normal ? tangent_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ); + + + bsdf clearcoat = + df::custom_curve_layer( + base: df::weighted_layer( + layer: dielectric_metal_mix, + weight: 1.0, + normal: final_clearcoat_weight == 0.0 ? state::normal() : the_normal + ), + layer: df::microfacet_ggx_smith_bsdf( + roughness_u: clearcoat_alpha, + tint: color(1.0) + ), + normal_reflectivity: 0.04, + grazing_reflectivity: clearcoat_grazing_refl, + normal: the_clearcoat_normal, + weight: final_clearcoat_weight + ); + bsdf surface = is_unlit ? bsdf() : clearcoat; +} +in material( + thin_walled: two_sided, // Graphene? + surface: material_surface( + scattering: surface, + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + backface: material_surface( + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + geometry: material_geometry( + displacement: displacement, + normal: final_clearcoat_weight == 0.0 ? the_normal : state::normal(), + cutout_opacity: enable_opacity ? opacity : 1.0 + ) +); diff --git a/Shelf/BP_Freezer1/Materials/OmniUe4Function.mdl b/Shelf/BP_Freezer1/Materials/OmniUe4Function.mdl new file mode 100644 index 0000000000000000000000000000000000000000..84f4f0da48ff31d03ee611373fe3a4d2e04c9079 --- /dev/null +++ b/Shelf/BP_Freezer1/Materials/OmniUe4Function.mdl @@ -0,0 +1,1413 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.1 - using absolute import paths when importing standard modules + +mdl 1.6; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + + +export float3 convert_to_left_hand(float3 vec3, uniform bool up_z = true, uniform bool is_position = true) +[[ + anno::description("convert from RH to LH"), + anno::noinline() +]] +{ + float4x4 ZupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, -1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4x4 YupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4 vec4 = float4(vec3.x, vec3.y, vec3.z, is_position ? 1.0f : 0.0f); + + vec4 = vec4 * (up_z ? ZupConversion : YupConversion); + + return float3(vec4.x, vec4.y, vec4.z); +} + +export float3 transform_vector_from_tangent_to_world(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from tangent space to world space"), + anno::noinline() +]] +{ + /* flip_tangent_v */ + return convert_to_left_hand( + tangent_u * vector.x - tangent_v * vector.y + state::normal() * vector.z, + up_z, false); +} + +export float3 transform_vector_from_world_to_tangent(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from world space to tangent space"), + anno::noinline() +]] +{ + float3 vecRH = convert_to_left_hand(vector, up_z, false); + /* flip_tangent_v */ + return vecRH.x * float3(tangent_u.x, -tangent_v.x, state::normal().x) + + vecRH.y * float3(tangent_u.y, -tangent_v.y, state::normal().y) + + vecRH.z * float3(tangent_u.z, -tangent_v.z, state::normal().z); +} + +export float4 unpack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Unpack a normal stored in a normal map"), + anno::noinline() +]] +{ + float2 normal_xy = float2(texture_sample.x, texture_sample.y); + + normal_xy = normal_xy * float2(2.0,2.0) - float2(1.0,1.0); + float normal_z = math::sqrt( math::saturate( 1.0 - math::dot( normal_xy, normal_xy ) ) ); + return float4( normal_xy.x, normal_xy.y, normal_z, 1.0 ); +} + +// for get color value from normal. +export float4 pack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Pack to color from a normal") +]] +{ + float2 return_xy = float2(texture_sample.x, texture_sample.y); + + return_xy = (return_xy + float2(1.0,1.0)) / float2(2.0,2.0); + + return float4( return_xy.x, return_xy.y, 0.0, 1.0 ); +} + +export float4 greyscale_texture_lookup( + float4 texture_sample = float4(0.0, 0.0, 0.0, 1.0) + ) +[[ + anno::description("Sampling a greyscale texture"), + anno::noinline() +]] +{ + return float4(texture_sample.x, texture_sample.x, texture_sample.x, texture_sample.x); +} + +export float3 pixel_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Pixel normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 vertex_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Vertex normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 landscape_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Landscape normal in world space") +]] +{ + float3 normalFromNormalmap = math::floor((::vertex_normal_world_space(up_z) * 0.5 + 0.5) * 255.0) / 255.0 * 2.0 - 1.0; + + float2 normalXY = float2(normalFromNormalmap.x, normalFromNormalmap.y); + return float3(normalXY.x, normalXY.y, math::sqrt(math::saturate(1.0 - math::dot(normalXY, normalXY)))); +} + +// Different implementation specific between mdl and hlsl for smoothstep +export float smoothstep(float a, float b, float l) +{ + if (a < b) + { + return math::smoothstep(a, b, l); + } + else if (a > b) + { + return 1.0 - math::smoothstep(b, a, l); + } + else + { + return l <= a ? 0.0 : 1.0; + } +} + +export float2 smoothstep(float2 a, float2 b, float2 l) +{ + return float2(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y)); +} + +export float3 smoothstep(float3 a, float3 b, float3 l) +{ + return float3(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z)); +} + +export float4 smoothstep(float4 a, float4 b, float4 l) +{ + return float4(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z), smoothstep(a.w, b.w, l.w)); +} + +export float2 smoothstep(float2 a, float2 b, float l) +{ + return float2(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l)); +} + +export float3 smoothstep(float3 a, float3 b, float l) +{ + return float3(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l)); +} + +export float4 smoothstep(float4 a, float4 b, float l) +{ + return float4(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l), smoothstep(a.w, b.w, l)); +} + +export float2 smoothstep(float a, float b, float2 l) +{ + return float2(smoothstep(a, b, l.x), smoothstep(a, b, l.y)); +} + +export float3 smoothstep(float a, float b, float3 l) +{ + return float3(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z)); +} + +export float4 smoothstep(float a, float b, float4 l) +{ + return float4(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z), smoothstep(a, b, l.w)); +} + +//------------------ Random from UE4 ----------------------- +float length2(float3 v) +{ + return math::dot(v, v); +} + +float3 GetPerlinNoiseGradientTextureAt(uniform texture_2d PerlinNoiseGradientTexture, float3 v) +{ + const float2 ZShear = float2(17.0f, 89.0f); + + float2 OffsetA = v.z * ZShear; + float2 TexA = (float2(v.x, v.y) + OffsetA + 0.5f) / 128.0f; + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA.x,1.0-TexA.y),tex::wrap_repeat,tex::wrap_repeat); + return float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z) * 2.0 - 1.0; +} + +float3 SkewSimplex(float3 In) +{ + return In + math::dot(In, float3(1.0 / 3.0f) ); +} +float3 UnSkewSimplex(float3 In) +{ + return In - math::dot(In, float3(1.0 / 6.0f) ); +} + +// 3D random number generator inspired by PCGs (permuted congruential generator) +// Using a **simple** Feistel cipher in place of the usual xor shift permutation step +// @param v = 3D integer coordinate +// @return three elements w/ 16 random bits each (0-0xffff). +// ~8 ALU operations for result.x (7 mad, 1 >>) +// ~10 ALU operations for result.xy (8 mad, 2 >>) +// ~12 ALU operations for result.xyz (9 mad, 3 >>) + +//TODO: uint3 +int3 Rand3DPCG16(int3 p) +{ + // taking a signed int then reinterpreting as unsigned gives good behavior for negatives + //TODO: uint3 + int3 v = int3(p); + + // Linear congruential step. These LCG constants are from Numerical Recipies + // For additional #'s, PCG would do multiple LCG steps and scramble each on output + // So v here is the RNG state + v = v * 1664525 + 1013904223; + + // PCG uses xorshift for the final shuffle, but it is expensive (and cheap + // versions of xorshift have visible artifacts). Instead, use simple MAD Feistel steps + // + // Feistel ciphers divide the state into separate parts (usually by bits) + // then apply a series of permutation steps one part at a time. The permutations + // use a reversible operation (usually ^) to part being updated with the result of + // a permutation function on the other parts and the key. + // + // In this case, I'm using v.x, v.y and v.z as the parts, using + instead of ^ for + // the combination function, and just multiplying the other two parts (no key) for + // the permutation function. + // + // That gives a simple mad per round. + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + + // only top 16 bits are well shuffled + return v >> 16; +} + +// Wraps noise for tiling texture creation +// @param v = unwrapped texture parameter +// @param bTiling = true to tile, false to not tile +// @param RepeatSize = number of units before repeating +// @return either original or wrapped coord +float3 NoiseTileWrap(float3 v, bool bTiling, float RepeatSize) +{ + return bTiling ? (math::frac(v / RepeatSize) * RepeatSize) : v; +} + +// Evaluate polynomial to get smooth transitions for Perlin noise +// only needed by Perlin functions in this file +// scalar(per component): 2 add, 5 mul +float4 PerlinRamp(float4 t) +{ + return t * t * t * (t * (t * 6 - 15) + 10); +} + +// Blum-Blum-Shub-inspired pseudo random number generator +// http://www.umbc.edu/~olano/papers/mNoise.pdf +// real BBS uses ((s*s) mod M) with bignums and M as the product of two huge Blum primes +// instead, we use a single prime M just small enough not to overflow +// note that the above paper used 61, which fits in a half, but is unusably bad +// @param Integer valued floating point seed +// @return random number in range [0,1) +// ~8 ALU operations (5 *, 3 frac) +float RandBBSfloat(float seed) +{ + float BBS_PRIME24 = 4093.0; + float s = math::frac(seed / BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + return s; +} + +// Modified noise gradient term +// @param seed - random seed for integer lattice position +// @param offset - [-1,1] offset of evaluation point from lattice point +// @return gradient direction (xyz) and contribution (w) from this lattice point +float4 MGradient(int seed, float3 offset) +{ + //TODO uint + int rand = Rand3DPCG16(int3(seed,0,0)).x; + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1.0 / 0x4000, 1.0 / 0x2000, 1.0 / 0x1000); + float3 direction = float3(int3(rand, rand, rand) & MGradientMask) * MGradientScale - 1; + return float4(direction.x, direction.y, direction.z, math::dot(direction, offset)); +} + +// compute Perlin and related noise corner seed values +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = true to return seed values for a repeating noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @param seed000-seed111 = hash function seeds for the eight corners +// @return fractional part of v +struct SeedValue +{ + float3 fv = float3(0); + float seed000 = 0; + float seed001 = 0; + float seed010 = 0; + float seed011 = 0; + float seed100 = 0; + float seed101 = 0; + float seed110 = 0; + float seed111 = 0; +}; + +SeedValue NoiseSeeds(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds; + seeds.fv = math::frac(v); + float3 iv = math::floor(v); + + const float3 primes = float3(19, 47, 101); + + if (bTiling) + { // can't algebraically combine with primes + seeds.seed000 = math::dot(primes, NoiseTileWrap(iv, true, RepeatSize)); + seeds.seed100 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 0), true, RepeatSize)); + seeds.seed010 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 0), true, RepeatSize)); + seeds.seed110 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 0), true, RepeatSize)); + seeds.seed001 = math::dot(primes, NoiseTileWrap(iv + float3(0, 0, 1), true, RepeatSize)); + seeds.seed101 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 1), true, RepeatSize)); + seeds.seed011 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 1), true, RepeatSize)); + seeds.seed111 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 1), true, RepeatSize)); + } + else + { // get to combine offsets with multiplication by primes in this case + seeds.seed000 = math::dot(iv, primes); + seeds.seed100 = seeds.seed000 + primes.x; + seeds.seed010 = seeds.seed000 + primes.y; + seeds.seed110 = seeds.seed100 + primes.y; + seeds.seed001 = seeds.seed000 + primes.z; + seeds.seed101 = seeds.seed100 + primes.z; + seeds.seed011 = seeds.seed010 + primes.z; + seeds.seed111 = seeds.seed110 + primes.z; + } + + return seeds; +} + +struct SimplexWeights +{ + float4 Result = float4(0); + float3 PosA = float3(0); + float3 PosB = float3(0); + float3 PosC = float3(0); + float3 PosD = float3(0); +}; + +// Computed weights and sample positions for simplex interpolation +// @return float4(a,b,c, d) Barycentric coordinate defined as Filtered = Tex(PosA) * a + Tex(PosB) * b + Tex(PosC) * c + Tex(PosD) * d +SimplexWeights ComputeSimplexWeights3D(float3 OrthogonalPos) +{ + SimplexWeights weights; + float3 OrthogonalPosFloor = math::floor(OrthogonalPos); + + weights.PosA = OrthogonalPosFloor; + weights.PosB = weights.PosA + float3(1, 1, 1); + + OrthogonalPos -= OrthogonalPosFloor; + + float Largest = math::max(OrthogonalPos.x, math::max(OrthogonalPos.y, OrthogonalPos.z)); + float Smallest = math::min(OrthogonalPos.x, math::min(OrthogonalPos.y, OrthogonalPos.z)); + + weights.PosC = weights.PosA + float3(Largest == OrthogonalPos.x, Largest == OrthogonalPos.y, Largest == OrthogonalPos.z); + weights.PosD = weights.PosA + float3(Smallest != OrthogonalPos.x, Smallest != OrthogonalPos.y, Smallest != OrthogonalPos.z); + + float RG = OrthogonalPos.x - OrthogonalPos.y; + float RB = OrthogonalPos.x - OrthogonalPos.z; + float GB = OrthogonalPos.y - OrthogonalPos.z; + + weights.Result.z = + math::min(math::max(0, RG), math::max(0, RB)) // X + + math::min(math::max(0, -RG), math::max(0, GB)) // Y + + math::min(math::max(0, -RB), math::max(0, -GB)); // Z + + weights.Result.w = + math::min(math::max(0, -RG), math::max(0, -RB)) // X + + math::min(math::max(0, RG), math::max(0, -GB)) // Y + + math::min(math::max(0, RB), math::max(0, GB)); // Z + + weights.Result.y = Smallest; + weights.Result.x = 1.0f - weights.Result.y - weights.Result.z - weights.Result.w; + + return weights; +} + +// filtered 3D gradient simple noise (few texture lookups, high quality) +// @param v >0 +// @return random number in the range -1 .. 1 +float SimplexNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 EvalPos) +{ + float3 OrthogonalPos = SkewSimplex(EvalPos); + + SimplexWeights Weights = ComputeSimplexWeights3D(OrthogonalPos); + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 32 bit) + float3 A = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosA); + float3 B = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosB); + float3 C = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosC); + float3 D = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosD); + + Weights.PosA = UnSkewSimplex(Weights.PosA); + Weights.PosB = UnSkewSimplex(Weights.PosB); + Weights.PosC = UnSkewSimplex(Weights.PosC); + Weights.PosD = UnSkewSimplex(Weights.PosD); + + float DistanceWeight; + + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosA)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float a = math::dot(A, EvalPos - Weights.PosA) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosB)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float b = math::dot(B, EvalPos - Weights.PosB) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosC)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float c = math::dot(C, EvalPos - Weights.PosC) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosD)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float d = math::dot(D, EvalPos - Weights.PosD) * DistanceWeight; + + return 32 * (a + b + c + d); +} + +// filtered 3D noise, can be optimized +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 v, bool bTiling, float RepeatSize) +{ + bTiling = true; + float3 fv = math::frac(v); + float3 iv0 = NoiseTileWrap(math::floor(v), bTiling, RepeatSize); + float3 iv1 = NoiseTileWrap(iv0 + 1, bTiling, RepeatSize); + + const int2 ZShear = int2(17, 89); + + float2 OffsetA = iv0.z * ZShear; + float2 OffsetB = OffsetA + ZShear; // non-tiling, use relative offset + if (bTiling) // tiling, have to compute from wrapped coordinates + { + OffsetB = iv1.z * ZShear; + } + + // Texture size scale factor + float ts = 1 / 128.0f; + + // texture coordinates for iv0.xy, as offset for both z slices + float2 TexA0 = (float2(iv0.x, iv0.y) + OffsetA + 0.5f) * ts; + float2 TexB0 = (float2(iv0.x, iv0.y) + OffsetB + 0.5f) * ts; + + // texture coordinates for iv1.xy, as offset for both z slices + float2 TexA1 = TexA0 + ts; // for non-tiling, can compute relative to existing coordinates + float2 TexB1 = TexB0 + ts; + if (bTiling) // for tiling, need to compute from wrapped coordinates + { + TexA1 = (float2(iv1.x, iv1.y) + OffsetA + 0.5f) * ts; + TexB1 = (float2(iv1.x, iv1.y) + OffsetB + 0.5f) * ts; + } + + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 8, 16 or 32 bit) + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 A = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 B = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 C = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 D = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 E = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 F = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 G = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 H = PerlinNoiseColor * 2 - 1; + + float a = math::dot(A, fv - float3(0, 0, 0)); + float b = math::dot(B, fv - float3(1, 0, 0)); + float c = math::dot(C, fv - float3(0, 1, 0)); + float d = math::dot(D, fv - float3(1, 1, 0)); + float e = math::dot(E, fv - float3(0, 0, 1)); + float f = math::dot(F, fv - float3(1, 0, 1)); + float g = math::dot(G, fv - float3(0, 1, 1)); + float h = math::dot(H, fv - float3(1, 1, 1)); + + float4 Weights = PerlinRamp(math::frac(float4(fv.x, fv.y, fv.z, 0))); + + float i = math::lerp(math::lerp(a, b, Weights.x), math::lerp(c, d, Weights.x), Weights.y); + float j = math::lerp(math::lerp(e, f, Weights.x), math::lerp(g, h, Weights.x), Weights.y); + + return math::lerp(i, j, Weights.z); +} + +// @return random number in the range -1 .. 1 +// scalar: 6 frac, 31 mul/mad, 15 add, +float FastGradientPerlinNoise3D_TEX(uniform texture_3d PerlinNoise3DTexture, float3 xyz) +{ + // needs to be the same value when creating the PerlinNoise3D texture + float Extent = 16; + + // last texel replicated and needed for filtering + // scalar: 3 frac, 6 mul + xyz = math::frac(xyz / (Extent - 1)) * (Extent - 1); + + // scalar: 3 frac + float3 uvw = math::frac(xyz); + // = floor(xyz); + // scalar: 3 add + float3 p0 = xyz - uvw; +// float3 f = math::pow(uvw, 2) * 3.0f - math::pow(uvw, 3) * 2.0f; // original perlin hermite (ok when used without bump mapping) + // scalar: 2*3 add 5*3 mul + float4 pr = PerlinRamp(float4(uvw.x, uvw.y, uvw.z, 0)); + float3 f = float3(pr.x, pr.y, pr.z); // new, better with continues second derivative for bump mapping + // scalar: 3 add + float3 p = p0 + f; + // scalar: 3 mad + // TODO: need reverse??? + float4 NoiseSample = tex::lookup_float4(PerlinNoise3DTexture, p / Extent + 0.5f / Extent); // +0.5f to get rid of bilinear offset + + // reconstruct from 8bit (using mad with 2 constants and dot4 was same instruction count) + // scalar: 4 mad, 3 mul, 3 add + float3 n = float3(NoiseSample.x, NoiseSample.y, NoiseSample.z) * 255.0f / 127.0f - 1.0f; + float d = NoiseSample.w * 255.f - 127; + return math::dot(xyz, n) - d; +} + +// Perlin-style "Modified Noise" +// http://www.umbc.edu/~olano/papers/index.html#mNoise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = MGradient(int(seeds.seed000), seeds.fv - float3(0, 0, 0)).w; + float rand100 = MGradient(int(seeds.seed100), seeds.fv - float3(1, 0, 0)).w; + float rand010 = MGradient(int(seeds.seed010), seeds.fv - float3(0, 1, 0)).w; + float rand110 = MGradient(int(seeds.seed110), seeds.fv - float3(1, 1, 0)).w; + float rand001 = MGradient(int(seeds.seed001), seeds.fv - float3(0, 0, 1)).w; + float rand101 = MGradient(int(seeds.seed101), seeds.fv - float3(1, 0, 1)).w; + float rand011 = MGradient(int(seeds.seed011), seeds.fv - float3(0, 1, 1)).w; + float rand111 = MGradient(int(seeds.seed111), seeds.fv - float3(1, 1, 1)).w; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D value noise - used to be incorrectly called Perlin noise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float ValueNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = RandBBSfloat(seeds.seed000) * 2 - 1; + float rand100 = RandBBSfloat(seeds.seed100) * 2 - 1; + float rand010 = RandBBSfloat(seeds.seed010) * 2 - 1; + float rand110 = RandBBSfloat(seeds.seed110) * 2 - 1; + float rand001 = RandBBSfloat(seeds.seed001) * 2 - 1; + float rand101 = RandBBSfloat(seeds.seed101) * 2 - 1; + float rand011 = RandBBSfloat(seeds.seed011) * 2 - 1; + float rand111 = RandBBSfloat(seeds.seed111) * 2 - 1; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D jitter offset within a voronoi noise cell +// @param pos - integer lattice corner +// @return random offsets vector +float3 VoronoiCornerSample(float3 pos, int Quality) +{ + // random values in [-0.5, 0.5] + float3 noise = float3(Rand3DPCG16(int3(pos))) / 0xffff - 0.5; + + // quality level 1 or 2: searches a 2x2x2 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 2x2x2 search + if (Quality <= 2) + { + return math::normalize(noise) * 0.2588; + } + + // quality level 3: searches a 3x3x3 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 3x3x3 search + if (Quality == 3) + { + return math::normalize(noise) * 0.3090; + } + + // quality level 4: jitter to anywhere in the cell, needs 4x4x4 search + return noise; +} + +// compare previous best with a new candidate +// not producing point locations makes it easier for compiler to eliminate calculations when they're not needed +// @param minval = location and distance of best candidate seed point before the new one +// @param candidate = candidate seed point +// @param offset = 3D offset to new candidate seed point +// @param bDistanceOnly = if true, only set maxval.w with distance, otherwise maxval.w is distance and maxval.xyz is position +// @return position (if bDistanceOnly is false) and distance to closest seed point so far +float4 VoronoiCompare(float4 minval, float3 candidate, float3 offset, bool bDistanceOnly) +{ + if (bDistanceOnly) + { + return float4(0, 0, 0, math::min(minval.w, math::dot(offset, offset))); + } + else + { + float newdist = math::dot(offset, offset); + return newdist > minval.w ? minval : float4(candidate.x, candidate.y, candidate.z, newdist); + } +} + +// 220 instruction Worley noise +float4 VoronoiNoise3D_ALU(float3 v, int Quality, bool bTiling, float RepeatSize, bool bDistanceOnly) +{ + float3 fv = math::frac(v), fv2 = math::frac(v + 0.5); + float3 iv = math::floor(v), iv2 = math::floor(v + 0.5); + + // with initial minimum distance = infinity (or at least bigger than 4), first min is optimized away + float4 mindist = float4(0,0,0,100); + float3 p, offset; + + // quality level 3: do a 3x3x3 search + if (Quality == 3) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 1; ++offset_x) + { + for (offset_y = -1; offset_y <= 1; ++offset_y) + { + for (offset_z = -1; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + + // everybody else searches a base 2x2x2 neighborhood + else + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = 0; offset_x <= 1; ++offset_x) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // quality level 2, do extra set of points, offset by half a cell + if (Quality == 2) + { + // 467 is just an offset to a different area in the random number field to avoid similar neighbor artifacts + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize) + 467, Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + } + + // quality level 4: add extra sets of four cells in each direction + if (Quality >= 4) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 2; offset_x += 3) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + // along x axis + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along y axis + p = float3(offset.y, offset.z, offset.x) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.y, offset.z, offset.x), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along z axis + p = float3(offset.z, offset.x, offset.y) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.z, offset.x, offset.y), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + } + } + } + } + + // transform squared distance to real distance + return float4(mindist.x, mindist.y, mindist.z, math::sqrt(mindist.w)); +} + +// Coordinates for corners of a Simplex tetrahedron +// Based on McEwan et al., Efficient computation of noise in GLSL, JGT 2011 +// @param v = 3D noise argument +// @return 4 corner locations +float4x3 SimplexCorners(float3 v) +{ + // find base corner by skewing to tetrahedral space and back + float3 tet = math::floor(v + v.x/3 + v.y/3 + v.z/3); + float3 base = tet - tet.x/6 - tet.y/6 - tet.z/6; + float3 f = v - base; + + // Find offsets to other corners (McEwan did this in tetrahedral space, + // but since skew is along x=y=z axis, this works in Euclidean space too.) + float3 g = math::step(float3(f.y,f.z,f.x), float3(f.x,f.y,f.z)), h = 1 - float3(g.z, g.x, g.y); + float3 a1 = math::min(g, h) - 1.0 / 6.0, a2 = math::max(g, h) - 1.0 / 3.0; + + // four corners + return float4x3(base, base + a1, base + a2, base + 0.5); +} + +// Improved smoothing function for simplex noise +// @param f = fractional distance to four tetrahedral corners +// @return weight for each corner +float4 SimplexSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + return (1 * scale + s*(-3 * scale + s*(3 * scale - s*scale))); +} + +// Derivative of simplex noise smoothing function +// @param f = fractional distanc eto four tetrahedral corners +// @return derivative of smoothing function for each corner by x, y and z +float3x4 SimplexDSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + s = -12 * scale + s*(24 * scale - s * 12 * scale); + + return float3x4( + s * float4(f[0][0], f[1][0], f[2][0], f[3][0]), + s * float4(f[0][1], f[1][1], f[2][1], f[3][1]), + s * float4(f[0][2], f[1][2], f[2][2], f[3][2])); +} + +// Simplex noise and its Jacobian derivative +// @param v = 3D noise argument +// @param bTiling = whether to repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension, must be a multiple of 3 +// @return float3x3 Jacobian in J[*].xyz, vector noise in J[*].w +// J[0].w, J[1].w, J[2].w is a Perlin-style simplex noise with vector output, e.g. (Nx, Ny, Nz) +// J[i].x is X derivative of the i'th component of the noise so J[2].x is dNz/dx +// You can use this to compute the noise, gradient, curl, or divergence: +// float3x4 J = JacobianSimplex_ALU(...); +// float3 VNoise = float3(J[0].w, J[1].w, J[2].w); // 3D noise +// float3 Grad = J[0].xyz; // gradient of J[0].w +// float3 Curl = float3(J[1][2]-J[2][1], J[2][0]-J[0][2], J[0][1]-J[1][2]); +// float Div = J[0][0]+J[1][1]+J[2][2]; +// All of these are confirmed to compile out all unneeded terms. +// So Grad of X doesn't compute Y or Z components, and VNoise doesn't do any of the derivative computation. +float3x4 JacobianSimplex_ALU(float3 v, bool bTiling, float RepeatSize) +{ + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1. / 0x4000, 1. / 0x2000, 1. / 0x1000); + + // corners of tetrahedron + float4x3 T = SimplexCorners(v); + // TODO: uint3 + int3 rand = int3(0); + float4x3 gvec0 = float4x3(1.0); + float4x3 gvec1 = float4x3(1.0); + float4x3 gvec2 = float4x3(1.0); + float4x3 fv = float4x3(1.0); + float3x4 grad = float3x4(1.0); + + // processing of tetrahedral vertices, unrolled + // to compute gradient at each corner + fv[0] = v - T[0]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[0] + 0.5, bTiling, RepeatSize)))); + gvec0[0] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[0] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[0] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][0] = math::dot(gvec0[0], fv[0]); + grad[1][0] = math::dot(gvec1[0], fv[0]); + grad[2][0] = math::dot(gvec2[0], fv[0]); + + fv[1] = v - T[1]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[1] + 0.5, bTiling, RepeatSize)))); + gvec0[1] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][1] = math::dot(gvec0[1], fv[1]); + grad[1][1] = math::dot(gvec1[1], fv[1]); + grad[2][1] = math::dot(gvec2[1], fv[1]); + + fv[2] = v - T[2]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[2] + 0.5, bTiling, RepeatSize)))); + gvec0[2] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[2] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[2] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][2] = math::dot(gvec0[2], fv[2]); + grad[1][2] = math::dot(gvec1[2], fv[2]); + grad[2][2] = math::dot(gvec2[2], fv[2]); + + fv[3] = v - T[3]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[3] + 0.5, bTiling, RepeatSize)))); + gvec0[3] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[3] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[3] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][3] = math::dot(gvec0[3], fv[3]); + grad[1][3] = math::dot(gvec1[3], fv[3]); + grad[2][3] = math::dot(gvec2[3], fv[3]); + + // blend gradients + float4 sv = SimplexSmooth(fv); + float3x4 ds = SimplexDSmooth(fv); + + float3x4 jacobian = float3x4(1.0); + float3 vec0 = gvec0*sv + grad[0]*ds; // NOTE: mdl is column major, convert from UE4 (row major) + jacobian[0] = float4(vec0.x, vec0.y, vec0.z, math::dot(sv, grad[0])); + float3 vec1 = gvec1*sv + grad[1]*ds; + jacobian[1] = float4(vec1.x, vec1.y, vec1.z, math::dot(sv, grad[1])); + float3 vec2 = gvec2*sv + grad[2]*ds; + jacobian[2] = float4(vec2.x, vec2.y, vec2.z, math::dot(sv, grad[2])); + + return jacobian; +} + +// While RepeatSize is a float here, the expectation is that it would be largely integer values coming in from the UI. The downstream logic assumes +// floats for all called functions (NoiseTileWrap) and this prevents any float-to-int conversion errors from automatic type conversion. +float Noise3D_Multiplexer(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, int Function, float3 Position, int Quality, bool bTiling, float RepeatSize) +{ + // verified, HLSL compiled out the switch if Function is a constant + switch(Function) + { + case 0: + return SimplexNoise3D_TEX(PerlinNoiseGradientTexture, Position); + case 1: + return GradientNoise3D_TEX(PerlinNoiseGradientTexture, Position, bTiling, RepeatSize); + case 2: + return FastGradientPerlinNoise3D_TEX(PerlinNoise3DTexture, Position); + case 3: + return GradientNoise3D_ALU(Position, bTiling, RepeatSize); + case 4: + return ValueNoise3D_ALU(Position, bTiling, RepeatSize); + case 5: + return VoronoiNoise3D_ALU(Position, Quality, bTiling, RepeatSize, true).w * 2.0 - 1.0; + } + return 0; +} +//---------------------------------------------------------- + +export float noise(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, float3 Position, float Scale, float Quality, float Function, float Turbulence, float Levels, float OutputMin, float OutputMax, float LevelScale, float FilterWidth, float Tiling, float RepeatSize) +[[ + anno::description("Noise"), + anno::noinline() +]] +{ + Position *= Scale; + FilterWidth *= Scale; + + float Out = 0.0f; + float OutScale = 1.0f; + float InvLevelScale = 1.0f / LevelScale; + + int iFunction(Function); + int iQuality(Quality); + int iLevels(Levels); + bool bTurbulence(Turbulence); + bool bTiling(Tiling); + + for(int i = 0; i < iLevels; ++i) + { + // fade out noise level that are too high frequent (not done through dynamic branching as it usually requires gradient instructions) + OutScale *= math::saturate(1.0 - FilterWidth); + + if(bTurbulence) + { + Out += math::abs(Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize)) * OutScale; + } + else + { + Out += Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize) * OutScale; + } + + Position *= LevelScale; + RepeatSize *= LevelScale; + OutScale *= InvLevelScale; + FilterWidth *= LevelScale; + } + + if(!bTurbulence) + { + // bring -1..1 to 0..1 range + Out = Out * 0.5f + 0.5f; + } + + // Out is in 0..1 range + return math::lerp(OutputMin, OutputMax, Out); +} + +// Material node for noise functions returning a vector value +// @param LevelScale usually 2 but higher values allow efficient use of few levels +// @return in user defined range (OutputMin..OutputMax) +export float4 vector4_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise"), + anno::noinline() +]] +{ + float4 result = float4(0,0,0,1); + float3 ret = float3(0); + int iQuality = int(Quality); + int iFunction = int(Function); + bool bTiling = Tiling > 0.0; + + float3x4 Jacobian = JacobianSimplex_ALU(Position, bTiling, TileSize); // compiled out if not used + + // verified, HLSL compiled out the switch if Function is a constant + switch (iFunction) + { + case 0: // Cellnoise + ret = float3(Rand3DPCG16(int3(math::floor(NoiseTileWrap(Position, bTiling, TileSize))))) / 0xffff; + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 1: // Color noise + ret = float3(Jacobian[0].w, Jacobian[1].w, Jacobian[2].w); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 2: // Gradient + result = Jacobian[0]; + break; + case 3: // Curl + ret = float3(Jacobian[2][1] - Jacobian[1][2], Jacobian[0][2] - Jacobian[2][0], Jacobian[1][0] - Jacobian[0][1]); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 4: // Voronoi + result = VoronoiNoise3D_ALU(Position, iQuality, bTiling, TileSize, false); + break; + } + return result; +} + +export float3 vector3_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise float3 version"), + anno::noinline() +]] +{ + float4 noise = vector4_noise(Position, Quality, Function, Tiling, TileSize); + return float3(noise.x, noise.y, noise.z); +} + + +// workaround for ue4 fresnel (without supporting for camera vector) : replacing it with 0.0, means facing to the view +export float fresnel(float exponent [[anno::unused()]], float base_reflect_fraction [[anno::unused()]], float3 normal [[anno::unused()]]) +[[ + anno::description("Fresnel"), + anno::noinline() +]] +{ + return 0.0; +} + +export float fresnel_function(float3 normal_vector [[anno::unused()]], float3 camera_vector [[anno::unused()]], + bool invert_fresnel [[anno::unused()]], float power [[anno::unused()]], + bool use_cheap_contrast [[anno::unused()]], float cheap_contrast_dark [[anno::unused()]], float cheap_contrast_bright [[anno::unused()]], + bool clamp_fresnel_dot_product [[anno::unused()]]) +[[ + anno::description("Fresnel Function"), + anno::noinline() +]] +{ + return 0.0; +} + +export float3 camera_vector(uniform bool up_z = true) +[[ + anno::description("Camera Vector"), + anno::noinline() +]] +{ + // assume camera postion is 0,0,0 + return math::normalize(float3(0) - convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)); +} + +export float pixel_depth() +[[ + anno::description("Pixel Depth"), + anno::noinline() +]] +{ + return 256.0f; +} + +export float scene_depth() +[[ + anno::description("Scene Depth") +]] +{ + return 65500.0f; +} + +export float3 scene_color() +[[ + anno::description("Scene Color") +]] +{ + return float3(1.0f); +} + +export float4 vertex_color() +[[ + anno::description("Vertex Color"), + anno::noinline() +]] +{ + return float4(1.0f); +} + +export float4 vertex_color_from_coordinate(int VertexColorCoordinateIndex) +[[ + anno::description("Vertex Color for float2 PrimVar"), + anno::noinline() +]] +{ + // Kit only supports 4 uv sets, 2 uvs are available to vertex color. if vertex color index is invalid, output the constant WHITE color intead + return (VertexColorCoordinateIndex > 2) ? float4(1.0f) : float4(state::texture_coordinate(VertexColorCoordinateIndex).x, state::texture_coordinate(VertexColorCoordinateIndex).y, state::texture_coordinate(VertexColorCoordinateIndex+1).x, state::texture_coordinate(VertexColorCoordinateIndex+1).y); +} + +export float3 camera_position() +[[ + anno::description("Camera Position"), + anno::noinline() +]] +{ + return float3(1000.0f, 0, 0); +} + +export float3 rotate_about_axis(float4 NormalizedRotationAxisAndAngle, float3 PositionOnAxis, float3 Position) +[[ + anno::description("Rotates Position about the given axis by the given angle") +]] +{ + // Project Position onto the rotation axis and find the closest point on the axis to Position + float3 NormalizedRotationAxis = float3(NormalizedRotationAxisAndAngle.x,NormalizedRotationAxisAndAngle.y,NormalizedRotationAxisAndAngle.z); + float3 ClosestPointOnAxis = PositionOnAxis + NormalizedRotationAxis * math::dot(NormalizedRotationAxis, Position - PositionOnAxis); + // Construct orthogonal axes in the plane of the rotation + float3 UAxis = Position - ClosestPointOnAxis; + float3 VAxis = math::cross(NormalizedRotationAxis, UAxis); + float[2] SinCosAngle = math::sincos(NormalizedRotationAxisAndAngle.w); + // Rotate using the orthogonal axes + float3 R = UAxis * SinCosAngle[1] + VAxis * SinCosAngle[0]; + // Reconstruct the rotated world space position + float3 RotatedPosition = ClosestPointOnAxis + R; + // Convert from position to a position offset + return RotatedPosition - Position; +} + +export float2 rotate_scale_offset_texcoords(float2 InTexCoords, float4 InRotationScale, float2 InOffset) +[[ + anno::description("Returns a float2 texture coordinate after 2x2 transform and offset applied") +]] +{ + return float2(math::dot(InTexCoords, float2(InRotationScale.x, InRotationScale.y)), math::dot(InTexCoords, float2(InRotationScale.z, InRotationScale.w))) + InOffset; +} + +export float3 reflection_custom_world_normal(float3 WorldNormal, bool bNormalizeInputNormal, uniform bool up_z = true) +[[ + anno::description("Reflection vector about the specified world space normal") +]] +{ + if (bNormalizeInputNormal) + { + WorldNormal = math::normalize(WorldNormal); + } + + return -camera_vector(up_z) + WorldNormal * math::dot(WorldNormal, camera_vector(up_z)) * 2.0; +} + +export float3 reflection_vector(uniform bool up_z = true) +[[ + anno::description("Reflection Vector"), + anno::noinline() +]] +{ + float3 normal = convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); + return reflection_custom_world_normal(normal, false, up_z); +} + +export float dither_temporalAA(float AlphaThreshold = 0.5f, float Random = 1.0f [[anno::unused()]]) +[[ + anno::description("Dither TemporalAA"), + anno::noinline() +]] +{ + return AlphaThreshold; +} + +export float3 black_body( float Temp ) +[[ + anno::description("Black Body"), + anno::noinline() +]] +{ + float u = ( 0.860117757f + 1.54118254e-4f * Temp + 1.28641212e-7f * Temp*Temp ) / ( 1.0f + 8.42420235e-4f * Temp + 7.08145163e-7f * Temp*Temp ); + float v = ( 0.317398726f + 4.22806245e-5f * Temp + 4.20481691e-8f * Temp*Temp ) / ( 1.0f - 2.89741816e-5f * Temp + 1.61456053e-7f * Temp*Temp ); + + float x = 3*u / ( 2*u - 8*v + 4 ); + float y = 2*v / ( 2*u - 8*v + 4 ); + float z = 1 - x - y; + + float Y = 1; + float X = Y/y * x; + float Z = Y/y * z; + + float3x3 XYZtoRGB = float3x3( + float3(3.2404542, -1.5371385, -0.4985314), + float3(-0.9692660, 1.8760108, 0.0415560), + float3(0.0556434, -0.2040259, 1.0572252) + ); + + return XYZtoRGB * float3( X, Y, Z ) * math::pow( 0.0004 * Temp, 4 ); +} + +export float per_instance_random(uniform texture_2d PerlinNoiseGradientTexture, int NumberInstances) +[[ + anno::description("Per Instance Random"), + anno::noinline() +]] +{ + float weight = state::object_id() / float(NumberInstances); + return NumberInstances == 0 ? 0.0 : tex::lookup_float4(PerlinNoiseGradientTexture, float2(weight, 1.0 - weight), tex::wrap_repeat, tex::wrap_repeat).x; +} + +//------------------ Hair from UE4 ----------------------- +float3 hair_absorption_to_color(float3 A) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::exp(-math::sqrt(A) * D); +} + +float3 hair_color_to_absorption(float3 C) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::pow(math::log(C) / D, 2.0f); +} + +export float3 get_hair_color_from_melanin(float InMelanin, float InRedness, float3 InDyeColor) +[[ + anno::description("Hair Color") +]] +{ + InMelanin = math::saturate(InMelanin); + InRedness = math::saturate(InRedness); + float Melanin = -math::log(math::max(1 - InMelanin, 0.0001f)); + float Eumelanin = Melanin * (1 - InRedness); + float Pheomelanin = Melanin * InRedness; + + float3 DyeAbsorption = hair_color_to_absorption(math::saturate(InDyeColor)); + float3 Absorption = Eumelanin * float3(0.506f, 0.841f, 1.653f) + Pheomelanin * float3(0.343f, 0.733f, 1.924f); + + return hair_absorption_to_color(Absorption + DyeAbsorption); +} + +export float3 local_object_bounds_min() +[[ + anno::description("Local Object Bounds Min"), + anno::noinline() +]] +{ + return float3(0.0); +} + +export float3 local_object_bounds_max() +[[ + anno::description("Local Object Bounds Max"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float3 object_bounds() +[[ + anno::description("Object Bounds"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float object_radius() +[[ + anno::description("Object Radius"), + anno::noinline() +]] +{ + return 100.0f; +} + +export float3 object_world_position(uniform bool up_z = true) +[[ + anno::description("Object World Position"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)*state::meters_per_scene_unit()*100.0; +} + +export float3 object_orientation() +[[ + anno::description("Object Orientation"), + anno::noinline() +]] +{ + return float3(0); +} + +export float rcp(float x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float2 rcp(float2 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float3 rcp(float3 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float4 rcp(float4 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export int BitFieldExtractI32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractI32 int"), + anno::noinline() +]] +{ + Size &= 3; + Offset &= 3; + + if (Size == 0) + return 0; + else if (Offset + Size < 32) + return (Data << (32 - Size - Offset)) >> (32 - Size); + else + return Data >> Offset; +} + +export int BitFieldExtractI32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractI32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(int(Data), int(Size), int(Offset)); +} + +export int BitFieldExtractU32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractU32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export int BitFieldExtractU32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractU32 int"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export float3 EyeAdaptationInverseLookup(float3 LightValue, float Alpha) +[[ + anno::description("EyeAdaptationInverseLookup"), + anno::noinline() +]] +{ + float Adaptation = 1.0f; + + // When Alpha=0.0, we want to multiply by 1.0. when Alpha = 1.0, we want to multiply by 1/Adaptation. + // So the lerped value is: + // LerpLogScale = Lerp(log(1),log(1/Adaptaiton),T) + // Which is simplified as: + // LerpLogScale = Lerp(0,-log(Adaptation),T) + // LerpLogScale = -T * logAdaptation; + + float LerpLogScale = -Alpha * math::log(Adaptation); + float Scale = math::exp(LerpLogScale); + return LightValue * Scale; +} diff --git a/Shelf/BP_Freezer1/Materials/OmniUe4Translucent.mdl b/Shelf/BP_Freezer1/Materials/OmniUe4Translucent.mdl new file mode 100644 index 0000000000000000000000000000000000000000..483a83004b8f7d5bf820a7905d06ea2d7d5894af --- /dev/null +++ b/Shelf/BP_Freezer1/Materials/OmniUe4Translucent.mdl @@ -0,0 +1,233 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.0 - first version +//* 1.0.1 - Emissive color affected by opacity +// - Support opacity mask +//* 1.0.2 - Unlit translucent +//* 1.0.3 - specular bsdf instead of microfacet ggx smith bsdf +//* 1.0.4 - using absolute import paths when importing standard modules + +mdl 1.3; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + +float emissive_multiplier() +[[ + anno::description("the multiplier to convert UE4 emissive to raw data"), + anno::noinline() +]] +{ + return 20.0f * 128.0f; +} + +color get_translucent_tint(color base_color, float opacity) +[[ + anno::description("base color of UE4 translucent"), + anno::noinline() +]] +{ + return math::lerp(color(1.0), base_color, opacity); +} + +// Just for UE4 distilling +float get_translucent_opacity(float opacity) +[[ + anno::noinline() +]] +{ + return opacity; +} + +color get_emissive_intensity(color emissive, float opacity) +[[ + anno::description("emissive color of UE4 translucent"), + anno::noinline() +]] +{ + return emissive * opacity; +} + +float3 tangent_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in tangent space"), + anno::noinline() +]] +{ + return math::normalize( + tangent_u * normal.x - + tangent_v * normal.y + /* flip_tangent_v */ + state::normal() * (normal.z)); +} + +float3 world_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in world space"), + anno::noinline() +]] +{ + return tangent_space_normal( + math::normalize( + normal.x * float3(tangent_u.x, tangent_v.x, state::normal().x) - + normal.y * float3(tangent_u.y, tangent_v.y, state::normal().y) + + normal.z * float3(tangent_u.z, tangent_v.z, state::normal().z)), + tangent_u, + tangent_v + ); +} + +export material OmniUe4Translucent( + float3 base_color = float3(0.0, 0.0, 0.0), + float metallic = 0.0, + float roughness = 0.5, + float specular = 0.5, + float3 normal = float3(0.0,0.0,1.0), + uniform bool enable_opacity = true, + float opacity = 1.0, + float opacity_mask = 1.0, + float3 emissive_color = float3(0.0, 0.0, 0.0), + float3 displacement = float3(0.0), + uniform float refraction = 1.0, + uniform bool two_sided = false, + uniform bool is_tangent_space_normal = true, + uniform bool is_unlit = false +) +[[ + anno::display_name("Omni UE4 Translucent"), + anno::description("Omni UE4 Translucent, supports UE4 Translucent shading model"), + anno::version( 1, 0, 0), + anno::author("NVIDIA CORPORATION"), + anno::key_words(string[]("omni", "UE4", "omniverse", "translucent")) +]] + = let { + color final_base_color = math::saturate(base_color); + float final_metallic = math::min(math::max(metallic, 0.0f), 0.99f); + float final_roughness = math::saturate(roughness); + float final_specular = math::saturate(specular); + color final_emissive_color = math::max(emissive_color, 0.0f) * emissive_multiplier(); /*factor for converting ue4 emissive to raw value*/ + float final_opacity = math::saturate(opacity); + float3 final_normal = math::normalize(normal); + + + // - compute final roughness by squaring the "roughness" parameter + float alpha = final_roughness * final_roughness; + // reduce the reflectivity at grazing angles to avoid "dark edges" for high roughness due to the layering + float grazing_refl = math::max((1.0 - final_roughness), 0.0); + + float3 the_normal = is_unlit ? state::normal() : + (is_tangent_space_normal ? + tangent_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + )); + + // for the dielectric component we layer the glossy component on top of the diffuse one, + // the glossy layer has no color tint + + bsdf dielectric_component = df::custom_curve_layer( + weight: final_specular, + normal_reflectivity: 0.08, + grazing_reflectivity: grazing_refl, + layer: df::microfacet_ggx_smith_bsdf(roughness_u: alpha), + base: df::diffuse_reflection_bsdf(tint: final_base_color)); + + // the metallic component doesn't have a diffuse component, it's only glossy + // base_color is applied to tint it + bsdf metallic_component = df::microfacet_ggx_smith_bsdf(tint: final_base_color, roughness_u: alpha); + + // final BSDF is a linear blend between dielectric and metallic component + bsdf dielectric_metal_mix = + df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: metallic_component, + weight: final_metallic), + df::bsdf_component( + component: dielectric_component, + weight: 1.0-final_metallic) + ) + ); + + bsdf frosted_bsdf = df::specular_bsdf( + tint: color(1), + mode: df::scatter_reflect_transmit + ); + + bsdf final_mix_bsdf = + is_unlit ? df::specular_bsdf( + tint: get_translucent_tint(base_color: final_base_color, opacity: final_opacity), + mode: df::scatter_reflect_transmit + ) + : df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: dielectric_metal_mix, + weight: get_translucent_opacity(final_opacity)), + df::bsdf_component( + component: frosted_bsdf, + weight: 1.0-get_translucent_opacity(final_opacity)) + ) + ); +} +in material( + thin_walled: two_sided, // Graphene? + ior: color(refraction), //refraction + surface: material_surface( + scattering: final_mix_bsdf, + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: get_emissive_intensity(emissive: final_emissive_color, opacity: final_opacity) + ) + ), + + geometry: material_geometry( + displacement: displacement, + normal: the_normal, + cutout_opacity: enable_opacity ? opacity_mask : 1.0 + ) +); diff --git a/Shelf/BP_Freezer1/Materials/Textures/DefaultDiffuse.png b/Shelf/BP_Freezer1/Materials/Textures/DefaultDiffuse.png new file mode 100644 index 0000000000000000000000000000000000000000..bd1d23e7e3f469dc8a3ba685ddd76d8d37810a22 --- /dev/null +++ b/Shelf/BP_Freezer1/Materials/Textures/DefaultDiffuse.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:2ee4a01a1731ecf55df4086f81d4be55d41d251522508fbd7da51b08cd4ac38c +size 2032125 diff --git a/Shelf/BP_Freezer1/Materials/Textures/DefaultDiffuse_TC_Masks.png b/Shelf/BP_Freezer1/Materials/Textures/DefaultDiffuse_TC_Masks.png new file mode 100644 index 0000000000000000000000000000000000000000..417034afc6dfdb99e438b8233b1d4771dc50f191 --- /dev/null +++ b/Shelf/BP_Freezer1/Materials/Textures/DefaultDiffuse_TC_Masks.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:7108b02a4b377505ead59ea36f424f2c9769b9bbe0361a7b462f037e33effdf8 +size 760 diff --git a/Shelf/BP_Freezer1/Materials/Textures/DefaultNormal.png b/Shelf/BP_Freezer1/Materials/Textures/DefaultNormal.png new file mode 100644 index 0000000000000000000000000000000000000000..4766222ff2b9fd2f84566e64c2a3c709d27c6b4b --- /dev/null +++ b/Shelf/BP_Freezer1/Materials/Textures/DefaultNormal.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:b5c0e3a8cc3bc960467544a14b9d0b881c833b30316a67863cc5a42e5d3225df +size 2125916 diff --git a/Shelf/BP_Freezer1/Materials/Textures/T_Freezer_02_Bronze_Albedo.png b/Shelf/BP_Freezer1/Materials/Textures/T_Freezer_02_Bronze_Albedo.png new file mode 100644 index 0000000000000000000000000000000000000000..1607821a8b4f0f8fdf15457b506fed384b5d973d --- /dev/null +++ b/Shelf/BP_Freezer1/Materials/Textures/T_Freezer_02_Bronze_Albedo.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:4c0b99a8cfc65a8d62092c804007c458c1700c310dfe3ee026d9ee3f062d4b42 +size 1481572 diff --git a/Shelf/BP_Freezer1/Materials/Textures/T_Freezer_02_Bronze_Masks.png b/Shelf/BP_Freezer1/Materials/Textures/T_Freezer_02_Bronze_Masks.png new file mode 100644 index 0000000000000000000000000000000000000000..b3ca8db759451adf749c7ffd98d356eeddb25e13 --- /dev/null +++ b/Shelf/BP_Freezer1/Materials/Textures/T_Freezer_02_Bronze_Masks.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid 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differ diff --git a/Shelf/BP_Freezer5/.thumbs/256x256/instance_phys.usd.png b/Shelf/BP_Freezer5/.thumbs/256x256/instance_phys.usd.png new file mode 100644 index 0000000000000000000000000000000000000000..2ee4933f897a3cab35ac13578b72827846638c45 --- /dev/null +++ b/Shelf/BP_Freezer5/.thumbs/256x256/instance_phys.usd.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:e451eed4751fce423c129d5300a889e08d8eaa2392e77e611cee5c9b860f9eef +size 43869 diff --git a/Shelf/BP_Freezer5/Materials/MI_Fridge_01.mdl b/Shelf/BP_Freezer5/Materials/MI_Fridge_01.mdl new file mode 100644 index 0000000000000000000000000000000000000000..fe2094606c83eddc4ce467b62acadd477cb91934 --- /dev/null +++ b/Shelf/BP_Freezer5/Materials/MI_Fridge_01.mdl @@ -0,0 +1,85 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material MI_Fridge_01( + uniform texture_2d Normal = texture_2d("./Textures/Basket_01a_N.png",::tex::gamma_linear) + [[ + anno::display_name("Normal"), + anno::ui_order(32), + sampler_normal() + ]], + uniform texture_2d Color = texture_2d("./Textures/Basket_01a_CO.png",::tex::gamma_srgb) + [[ + anno::display_name("Color"), + anno::ui_order(32), + sampler_color() + ]], + uniform texture_2d RMA = texture_2d("./Textures/Basket_01a_MADS.png",::tex::gamma_srgb) + [[ + anno::display_name("RMA"), + anno::ui_order(32), + sampler_color() + ]], + float Wear = 0.0 + [[ + anno::display_name("Wear"), + anno::ui_order(32), + anno::soft_range(0.0, 1.0) + ]], + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) +[[ + dither_masked_off() +]] + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + float4 Local0 = ::unpack_normal_map(tex::lookup_float4(Normal,float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat)); + + float3 Normal_mdl = float3(Local0.x,Local0.y,Local0.z); + + float4 Local1 = tex::lookup_float4(Color,float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float4 Local2 = tex::lookup_float4(RMA,float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float Local3 = (1.0 - Local2.w); + float Local4 = math::lerp(Local3,0.0,Wear); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float OpacityMask_mdl = (Local1.w - 0.3333) < 0.0f ? 0.0f : 1.0f; + float3 BaseColor_mdl = float3(Local1.x,Local1.y,Local1.z); + float Metallic_mdl = Local2.x; + float Specular_mdl = 0.5; + float Roughness_mdl = Local4; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_Freezer5/Materials/MI_Gray.mdl b/Shelf/BP_Freezer5/Materials/MI_Gray.mdl new file mode 100644 index 0000000000000000000000000000000000000000..608abdfecc890834cd2df20445d0b988760a5907 --- /dev/null +++ b/Shelf/BP_Freezer5/Materials/MI_Gray.mdl @@ -0,0 +1,62 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material MI_Gray( + float4 Color = float4(1.0,1.0,1.0,1.0) + [[ + anno::display_name("Color"), + anno::ui_order(32) + ]], + float Metalness = 0.0 + [[ + anno::display_name("Metalness"), + anno::ui_order(32) + ]], + float Roughness = 0.6 + [[ + anno::display_name("Roughness"), + anno::ui_order(32) + ]]) + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + + + float3 Normal_mdl = float3(0.0,0.0,1.0); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float OpacityMask_mdl = 1.0; + float3 BaseColor_mdl = float3(Color.x,Color.y,Color.z); + float Metallic_mdl = Metalness; + float Specular_mdl = 0.5; + float Roughness_mdl = Roughness; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_Freezer5/Materials/M_Glass_01.mdl b/Shelf/BP_Freezer5/Materials/M_Glass_01.mdl new file mode 100644 index 0000000000000000000000000000000000000000..2aa1c378296fc564e935b111afa63e9fb98ca45e --- /dev/null +++ b/Shelf/BP_Freezer5/Materials/M_Glass_01.mdl @@ -0,0 +1,70 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Translucent import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material M_Glass_01( + float4 Color = float4(0.0,0.0,0.0,0.0) + [[ + anno::display_name("Color"), + anno::ui_order(32) + ]], + uniform texture_2d RMA = texture_2d("./Textures/Glass_01_MADS.png",::tex::gamma_srgb) + [[ + anno::display_name("RMA"), + anno::ui_order(32), + sampler_color() + ]], + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + + float3 Normal_mdl = float3(0.0,0.0,1.0); + + float4 Local0 = tex::lookup_float4(RMA,float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float Local1 = (1.0 - Local0.w); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float Opacity_mdl = 0.4; + float OpacityMask_mdl = (math::saturate(0.4) - 1.0f / 255.0f) < 0.0f ? 0.0f : 1.0f; + float3 BaseColor_mdl = float3(Color.x,Color.y,Color.z); + float Metallic_mdl = Local0.x; + float Specular_mdl = 0.5; + float Roughness_mdl = Local1; + float3 Refraction_mdl = math::max(float3(1.0,0.0,0.0), 1.0f); + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Translucent( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: Opacity_mdl, + opacity_mask: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + refraction: Refraction_mdl.x, + two_sided: false); diff --git a/Shelf/BP_Freezer5/Materials/OmniUe4Base.mdl b/Shelf/BP_Freezer5/Materials/OmniUe4Base.mdl new file mode 100644 index 0000000000000000000000000000000000000000..a441fbaf28040302c7aaabfbcf14b24a85bdf643 --- /dev/null +++ b/Shelf/BP_Freezer5/Materials/OmniUe4Base.mdl @@ -0,0 +1,224 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.0 - first version +//* 1.0.1 - merge unlit template +//* 1.0.2 - Fix EDF in the back side: the EDF contained in surface is only used for the front side and not for the back side +//* 1.0.3 - UE4 normal mapping: Geometry normal shouldn't be changed +//* 1.0.4 - using absolute import paths when importing standard modules + +mdl 1.3; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + +float emissive_multiplier() +[[ + anno::description("the multiplier to convert UE4 emissive to raw data"), + anno::noinline() +]] +{ + return 20.0f * 128.0f; +} + +float3 tangent_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in tangent space"), + anno::noinline() +]] +{ + return math::normalize( + tangent_u * normal.x - /* flip_tangent_v */ + tangent_v * normal.y + + state::normal() * (normal.z)); +} + +float3 world_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in world space"), + anno::noinline() +]] +{ + return tangent_space_normal( + math::normalize( + normal.x * float3(tangent_u.x, tangent_v.x, state::normal().x) - + normal.y * float3(tangent_u.y, tangent_v.y, state::normal().y) + + normal.z * float3(tangent_u.z, tangent_v.z, state::normal().z)), + tangent_u, + tangent_v + ); +} + +export material OmniUe4Base( + float3 base_color = float3(0.0, 0.0, 0.0), + float metallic = 0.0, + float roughness = 0.5, + float specular = 0.5, + float3 normal = float3(0.0,0.0,1.0), + float clearcoat_weight = 0.0, + float clearcoat_roughness = 0.0, + float3 clearcoat_normal = float3(0.0,0.0,1.0), + uniform bool enable_opacity = true, + float opacity = 1.0, + float3 emissive_color = float3(0.0, 0.0, 0.0), + float3 displacement = float3(0.0), + uniform bool is_tangent_space_normal = true, + uniform bool two_sided = false, + uniform bool is_unlit = false +) +[[ + anno::display_name("Omni UE4 Base"), + anno::description("Omni UE4 Base, supports UE4 default lit and clearcoat shading model"), + anno::version( 1, 0, 0), + anno::author("NVIDIA CORPORATION"), + anno::key_words(string[]("omni", "UE4", "omniverse", "lit", "clearcoat", "generic")) +]] + = let { + color final_base_color = math::saturate(base_color); + float final_metallic = math::saturate(metallic); + float final_roughness = math::saturate(roughness); + float final_specular = math::saturate(specular); + color final_emissive_color = math::max(emissive_color, 0.0f) * emissive_multiplier(); /*factor for converting ue4 emissive to raw value*/ + float final_clearcoat_weight = math::saturate(clearcoat_weight); + float final_clearcoat_roughness = math::saturate(clearcoat_roughness); + float3 final_normal = math::normalize(normal); + float3 final_clearcoat_normal = math::normalize(clearcoat_normal); + + // - compute final roughness by squaring the "roughness" parameter + float alpha = final_roughness * final_roughness; + // reduce the reflectivity at grazing angles to avoid "dark edges" for high roughness due to the layering + float grazing_refl = math::max((1.0 - final_roughness), 0.0); + + float3 the_normal = is_unlit ? state::normal() : + (is_tangent_space_normal ? + tangent_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + )); + + // for the dielectric component we layer the glossy component on top of the diffuse one, + // the glossy layer has no color tint + + bsdf dielectric_component = df::custom_curve_layer( + weight: final_specular, + normal_reflectivity: 0.08, + grazing_reflectivity: grazing_refl, + layer: df::microfacet_ggx_smith_bsdf(roughness_u: alpha), + base: df::diffuse_reflection_bsdf(tint: final_base_color), + normal: the_normal); + + // the metallic component doesn't have a diffuse component, it's only glossy + // base_color is applied to tint it + bsdf metallic_component = df::microfacet_ggx_smith_bsdf(tint: final_base_color, roughness_u: alpha); + + // final BSDF is a linear blend between dielectric and metallic component + bsdf dielectric_metal_mix = + df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: metallic_component, + weight: final_metallic), + df::bsdf_component( + component: dielectric_component, + weight: 1.0-final_metallic) + ) + ); + + // clearcoat layer + float clearcoat_grazing_refl = math::max((1.0 - final_clearcoat_roughness), 0.0); + float clearcoat_alpha = final_clearcoat_roughness * final_clearcoat_roughness; + + float3 the_clearcoat_normal = is_tangent_space_normal ? tangent_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ); + + + bsdf clearcoat = + df::custom_curve_layer( + base: df::weighted_layer( + layer: dielectric_metal_mix, + weight: 1.0, + normal: final_clearcoat_weight == 0.0 ? state::normal() : the_normal + ), + layer: df::microfacet_ggx_smith_bsdf( + roughness_u: clearcoat_alpha, + tint: color(1.0) + ), + normal_reflectivity: 0.04, + grazing_reflectivity: clearcoat_grazing_refl, + normal: the_clearcoat_normal, + weight: final_clearcoat_weight + ); + bsdf surface = is_unlit ? bsdf() : clearcoat; +} +in material( + thin_walled: two_sided, // Graphene? + surface: material_surface( + scattering: surface, + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + backface: material_surface( + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + geometry: material_geometry( + displacement: displacement, + normal: final_clearcoat_weight == 0.0 ? the_normal : state::normal(), + cutout_opacity: enable_opacity ? opacity : 1.0 + ) +); diff --git a/Shelf/BP_Freezer5/Materials/OmniUe4Function.mdl b/Shelf/BP_Freezer5/Materials/OmniUe4Function.mdl new file mode 100644 index 0000000000000000000000000000000000000000..84f4f0da48ff31d03ee611373fe3a4d2e04c9079 --- /dev/null +++ b/Shelf/BP_Freezer5/Materials/OmniUe4Function.mdl @@ -0,0 +1,1413 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.1 - using absolute import paths when importing standard modules + +mdl 1.6; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + + +export float3 convert_to_left_hand(float3 vec3, uniform bool up_z = true, uniform bool is_position = true) +[[ + anno::description("convert from RH to LH"), + anno::noinline() +]] +{ + float4x4 ZupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, -1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4x4 YupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4 vec4 = float4(vec3.x, vec3.y, vec3.z, is_position ? 1.0f : 0.0f); + + vec4 = vec4 * (up_z ? ZupConversion : YupConversion); + + return float3(vec4.x, vec4.y, vec4.z); +} + +export float3 transform_vector_from_tangent_to_world(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from tangent space to world space"), + anno::noinline() +]] +{ + /* flip_tangent_v */ + return convert_to_left_hand( + tangent_u * vector.x - tangent_v * vector.y + state::normal() * vector.z, + up_z, false); +} + +export float3 transform_vector_from_world_to_tangent(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from world space to tangent space"), + anno::noinline() +]] +{ + float3 vecRH = convert_to_left_hand(vector, up_z, false); + /* flip_tangent_v */ + return vecRH.x * float3(tangent_u.x, -tangent_v.x, state::normal().x) + + vecRH.y * float3(tangent_u.y, -tangent_v.y, state::normal().y) + + vecRH.z * float3(tangent_u.z, -tangent_v.z, state::normal().z); +} + +export float4 unpack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Unpack a normal stored in a normal map"), + anno::noinline() +]] +{ + float2 normal_xy = float2(texture_sample.x, texture_sample.y); + + normal_xy = normal_xy * float2(2.0,2.0) - float2(1.0,1.0); + float normal_z = math::sqrt( math::saturate( 1.0 - math::dot( normal_xy, normal_xy ) ) ); + return float4( normal_xy.x, normal_xy.y, normal_z, 1.0 ); +} + +// for get color value from normal. +export float4 pack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Pack to color from a normal") +]] +{ + float2 return_xy = float2(texture_sample.x, texture_sample.y); + + return_xy = (return_xy + float2(1.0,1.0)) / float2(2.0,2.0); + + return float4( return_xy.x, return_xy.y, 0.0, 1.0 ); +} + +export float4 greyscale_texture_lookup( + float4 texture_sample = float4(0.0, 0.0, 0.0, 1.0) + ) +[[ + anno::description("Sampling a greyscale texture"), + anno::noinline() +]] +{ + return float4(texture_sample.x, texture_sample.x, texture_sample.x, texture_sample.x); +} + +export float3 pixel_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Pixel normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 vertex_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Vertex normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 landscape_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Landscape normal in world space") +]] +{ + float3 normalFromNormalmap = math::floor((::vertex_normal_world_space(up_z) * 0.5 + 0.5) * 255.0) / 255.0 * 2.0 - 1.0; + + float2 normalXY = float2(normalFromNormalmap.x, normalFromNormalmap.y); + return float3(normalXY.x, normalXY.y, math::sqrt(math::saturate(1.0 - math::dot(normalXY, normalXY)))); +} + +// Different implementation specific between mdl and hlsl for smoothstep +export float smoothstep(float a, float b, float l) +{ + if (a < b) + { + return math::smoothstep(a, b, l); + } + else if (a > b) + { + return 1.0 - math::smoothstep(b, a, l); + } + else + { + return l <= a ? 0.0 : 1.0; + } +} + +export float2 smoothstep(float2 a, float2 b, float2 l) +{ + return float2(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y)); +} + +export float3 smoothstep(float3 a, float3 b, float3 l) +{ + return float3(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z)); +} + +export float4 smoothstep(float4 a, float4 b, float4 l) +{ + return float4(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z), smoothstep(a.w, b.w, l.w)); +} + +export float2 smoothstep(float2 a, float2 b, float l) +{ + return float2(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l)); +} + +export float3 smoothstep(float3 a, float3 b, float l) +{ + return float3(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l)); +} + +export float4 smoothstep(float4 a, float4 b, float l) +{ + return float4(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l), smoothstep(a.w, b.w, l)); +} + +export float2 smoothstep(float a, float b, float2 l) +{ + return float2(smoothstep(a, b, l.x), smoothstep(a, b, l.y)); +} + +export float3 smoothstep(float a, float b, float3 l) +{ + return float3(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z)); +} + +export float4 smoothstep(float a, float b, float4 l) +{ + return float4(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z), smoothstep(a, b, l.w)); +} + +//------------------ Random from UE4 ----------------------- +float length2(float3 v) +{ + return math::dot(v, v); +} + +float3 GetPerlinNoiseGradientTextureAt(uniform texture_2d PerlinNoiseGradientTexture, float3 v) +{ + const float2 ZShear = float2(17.0f, 89.0f); + + float2 OffsetA = v.z * ZShear; + float2 TexA = (float2(v.x, v.y) + OffsetA + 0.5f) / 128.0f; + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA.x,1.0-TexA.y),tex::wrap_repeat,tex::wrap_repeat); + return float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z) * 2.0 - 1.0; +} + +float3 SkewSimplex(float3 In) +{ + return In + math::dot(In, float3(1.0 / 3.0f) ); +} +float3 UnSkewSimplex(float3 In) +{ + return In - math::dot(In, float3(1.0 / 6.0f) ); +} + +// 3D random number generator inspired by PCGs (permuted congruential generator) +// Using a **simple** Feistel cipher in place of the usual xor shift permutation step +// @param v = 3D integer coordinate +// @return three elements w/ 16 random bits each (0-0xffff). +// ~8 ALU operations for result.x (7 mad, 1 >>) +// ~10 ALU operations for result.xy (8 mad, 2 >>) +// ~12 ALU operations for result.xyz (9 mad, 3 >>) + +//TODO: uint3 +int3 Rand3DPCG16(int3 p) +{ + // taking a signed int then reinterpreting as unsigned gives good behavior for negatives + //TODO: uint3 + int3 v = int3(p); + + // Linear congruential step. These LCG constants are from Numerical Recipies + // For additional #'s, PCG would do multiple LCG steps and scramble each on output + // So v here is the RNG state + v = v * 1664525 + 1013904223; + + // PCG uses xorshift for the final shuffle, but it is expensive (and cheap + // versions of xorshift have visible artifacts). Instead, use simple MAD Feistel steps + // + // Feistel ciphers divide the state into separate parts (usually by bits) + // then apply a series of permutation steps one part at a time. The permutations + // use a reversible operation (usually ^) to part being updated with the result of + // a permutation function on the other parts and the key. + // + // In this case, I'm using v.x, v.y and v.z as the parts, using + instead of ^ for + // the combination function, and just multiplying the other two parts (no key) for + // the permutation function. + // + // That gives a simple mad per round. + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + + // only top 16 bits are well shuffled + return v >> 16; +} + +// Wraps noise for tiling texture creation +// @param v = unwrapped texture parameter +// @param bTiling = true to tile, false to not tile +// @param RepeatSize = number of units before repeating +// @return either original or wrapped coord +float3 NoiseTileWrap(float3 v, bool bTiling, float RepeatSize) +{ + return bTiling ? (math::frac(v / RepeatSize) * RepeatSize) : v; +} + +// Evaluate polynomial to get smooth transitions for Perlin noise +// only needed by Perlin functions in this file +// scalar(per component): 2 add, 5 mul +float4 PerlinRamp(float4 t) +{ + return t * t * t * (t * (t * 6 - 15) + 10); +} + +// Blum-Blum-Shub-inspired pseudo random number generator +// http://www.umbc.edu/~olano/papers/mNoise.pdf +// real BBS uses ((s*s) mod M) with bignums and M as the product of two huge Blum primes +// instead, we use a single prime M just small enough not to overflow +// note that the above paper used 61, which fits in a half, but is unusably bad +// @param Integer valued floating point seed +// @return random number in range [0,1) +// ~8 ALU operations (5 *, 3 frac) +float RandBBSfloat(float seed) +{ + float BBS_PRIME24 = 4093.0; + float s = math::frac(seed / BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + return s; +} + +// Modified noise gradient term +// @param seed - random seed for integer lattice position +// @param offset - [-1,1] offset of evaluation point from lattice point +// @return gradient direction (xyz) and contribution (w) from this lattice point +float4 MGradient(int seed, float3 offset) +{ + //TODO uint + int rand = Rand3DPCG16(int3(seed,0,0)).x; + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1.0 / 0x4000, 1.0 / 0x2000, 1.0 / 0x1000); + float3 direction = float3(int3(rand, rand, rand) & MGradientMask) * MGradientScale - 1; + return float4(direction.x, direction.y, direction.z, math::dot(direction, offset)); +} + +// compute Perlin and related noise corner seed values +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = true to return seed values for a repeating noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @param seed000-seed111 = hash function seeds for the eight corners +// @return fractional part of v +struct SeedValue +{ + float3 fv = float3(0); + float seed000 = 0; + float seed001 = 0; + float seed010 = 0; + float seed011 = 0; + float seed100 = 0; + float seed101 = 0; + float seed110 = 0; + float seed111 = 0; +}; + +SeedValue NoiseSeeds(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds; + seeds.fv = math::frac(v); + float3 iv = math::floor(v); + + const float3 primes = float3(19, 47, 101); + + if (bTiling) + { // can't algebraically combine with primes + seeds.seed000 = math::dot(primes, NoiseTileWrap(iv, true, RepeatSize)); + seeds.seed100 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 0), true, RepeatSize)); + seeds.seed010 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 0), true, RepeatSize)); + seeds.seed110 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 0), true, RepeatSize)); + seeds.seed001 = math::dot(primes, NoiseTileWrap(iv + float3(0, 0, 1), true, RepeatSize)); + seeds.seed101 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 1), true, RepeatSize)); + seeds.seed011 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 1), true, RepeatSize)); + seeds.seed111 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 1), true, RepeatSize)); + } + else + { // get to combine offsets with multiplication by primes in this case + seeds.seed000 = math::dot(iv, primes); + seeds.seed100 = seeds.seed000 + primes.x; + seeds.seed010 = seeds.seed000 + primes.y; + seeds.seed110 = seeds.seed100 + primes.y; + seeds.seed001 = seeds.seed000 + primes.z; + seeds.seed101 = seeds.seed100 + primes.z; + seeds.seed011 = seeds.seed010 + primes.z; + seeds.seed111 = seeds.seed110 + primes.z; + } + + return seeds; +} + +struct SimplexWeights +{ + float4 Result = float4(0); + float3 PosA = float3(0); + float3 PosB = float3(0); + float3 PosC = float3(0); + float3 PosD = float3(0); +}; + +// Computed weights and sample positions for simplex interpolation +// @return float4(a,b,c, d) Barycentric coordinate defined as Filtered = Tex(PosA) * a + Tex(PosB) * b + Tex(PosC) * c + Tex(PosD) * d +SimplexWeights ComputeSimplexWeights3D(float3 OrthogonalPos) +{ + SimplexWeights weights; + float3 OrthogonalPosFloor = math::floor(OrthogonalPos); + + weights.PosA = OrthogonalPosFloor; + weights.PosB = weights.PosA + float3(1, 1, 1); + + OrthogonalPos -= OrthogonalPosFloor; + + float Largest = math::max(OrthogonalPos.x, math::max(OrthogonalPos.y, OrthogonalPos.z)); + float Smallest = math::min(OrthogonalPos.x, math::min(OrthogonalPos.y, OrthogonalPos.z)); + + weights.PosC = weights.PosA + float3(Largest == OrthogonalPos.x, Largest == OrthogonalPos.y, Largest == OrthogonalPos.z); + weights.PosD = weights.PosA + float3(Smallest != OrthogonalPos.x, Smallest != OrthogonalPos.y, Smallest != OrthogonalPos.z); + + float RG = OrthogonalPos.x - OrthogonalPos.y; + float RB = OrthogonalPos.x - OrthogonalPos.z; + float GB = OrthogonalPos.y - OrthogonalPos.z; + + weights.Result.z = + math::min(math::max(0, RG), math::max(0, RB)) // X + + math::min(math::max(0, -RG), math::max(0, GB)) // Y + + math::min(math::max(0, -RB), math::max(0, -GB)); // Z + + weights.Result.w = + math::min(math::max(0, -RG), math::max(0, -RB)) // X + + math::min(math::max(0, RG), math::max(0, -GB)) // Y + + math::min(math::max(0, RB), math::max(0, GB)); // Z + + weights.Result.y = Smallest; + weights.Result.x = 1.0f - weights.Result.y - weights.Result.z - weights.Result.w; + + return weights; +} + +// filtered 3D gradient simple noise (few texture lookups, high quality) +// @param v >0 +// @return random number in the range -1 .. 1 +float SimplexNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 EvalPos) +{ + float3 OrthogonalPos = SkewSimplex(EvalPos); + + SimplexWeights Weights = ComputeSimplexWeights3D(OrthogonalPos); + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 32 bit) + float3 A = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosA); + float3 B = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosB); + float3 C = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosC); + float3 D = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosD); + + Weights.PosA = UnSkewSimplex(Weights.PosA); + Weights.PosB = UnSkewSimplex(Weights.PosB); + Weights.PosC = UnSkewSimplex(Weights.PosC); + Weights.PosD = UnSkewSimplex(Weights.PosD); + + float DistanceWeight; + + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosA)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float a = math::dot(A, EvalPos - Weights.PosA) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosB)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float b = math::dot(B, EvalPos - Weights.PosB) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosC)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float c = math::dot(C, EvalPos - Weights.PosC) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosD)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float d = math::dot(D, EvalPos - Weights.PosD) * DistanceWeight; + + return 32 * (a + b + c + d); +} + +// filtered 3D noise, can be optimized +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 v, bool bTiling, float RepeatSize) +{ + bTiling = true; + float3 fv = math::frac(v); + float3 iv0 = NoiseTileWrap(math::floor(v), bTiling, RepeatSize); + float3 iv1 = NoiseTileWrap(iv0 + 1, bTiling, RepeatSize); + + const int2 ZShear = int2(17, 89); + + float2 OffsetA = iv0.z * ZShear; + float2 OffsetB = OffsetA + ZShear; // non-tiling, use relative offset + if (bTiling) // tiling, have to compute from wrapped coordinates + { + OffsetB = iv1.z * ZShear; + } + + // Texture size scale factor + float ts = 1 / 128.0f; + + // texture coordinates for iv0.xy, as offset for both z slices + float2 TexA0 = (float2(iv0.x, iv0.y) + OffsetA + 0.5f) * ts; + float2 TexB0 = (float2(iv0.x, iv0.y) + OffsetB + 0.5f) * ts; + + // texture coordinates for iv1.xy, as offset for both z slices + float2 TexA1 = TexA0 + ts; // for non-tiling, can compute relative to existing coordinates + float2 TexB1 = TexB0 + ts; + if (bTiling) // for tiling, need to compute from wrapped coordinates + { + TexA1 = (float2(iv1.x, iv1.y) + OffsetA + 0.5f) * ts; + TexB1 = (float2(iv1.x, iv1.y) + OffsetB + 0.5f) * ts; + } + + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 8, 16 or 32 bit) + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 A = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 B = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 C = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 D = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 E = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 F = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 G = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 H = PerlinNoiseColor * 2 - 1; + + float a = math::dot(A, fv - float3(0, 0, 0)); + float b = math::dot(B, fv - float3(1, 0, 0)); + float c = math::dot(C, fv - float3(0, 1, 0)); + float d = math::dot(D, fv - float3(1, 1, 0)); + float e = math::dot(E, fv - float3(0, 0, 1)); + float f = math::dot(F, fv - float3(1, 0, 1)); + float g = math::dot(G, fv - float3(0, 1, 1)); + float h = math::dot(H, fv - float3(1, 1, 1)); + + float4 Weights = PerlinRamp(math::frac(float4(fv.x, fv.y, fv.z, 0))); + + float i = math::lerp(math::lerp(a, b, Weights.x), math::lerp(c, d, Weights.x), Weights.y); + float j = math::lerp(math::lerp(e, f, Weights.x), math::lerp(g, h, Weights.x), Weights.y); + + return math::lerp(i, j, Weights.z); +} + +// @return random number in the range -1 .. 1 +// scalar: 6 frac, 31 mul/mad, 15 add, +float FastGradientPerlinNoise3D_TEX(uniform texture_3d PerlinNoise3DTexture, float3 xyz) +{ + // needs to be the same value when creating the PerlinNoise3D texture + float Extent = 16; + + // last texel replicated and needed for filtering + // scalar: 3 frac, 6 mul + xyz = math::frac(xyz / (Extent - 1)) * (Extent - 1); + + // scalar: 3 frac + float3 uvw = math::frac(xyz); + // = floor(xyz); + // scalar: 3 add + float3 p0 = xyz - uvw; +// float3 f = math::pow(uvw, 2) * 3.0f - math::pow(uvw, 3) * 2.0f; // original perlin hermite (ok when used without bump mapping) + // scalar: 2*3 add 5*3 mul + float4 pr = PerlinRamp(float4(uvw.x, uvw.y, uvw.z, 0)); + float3 f = float3(pr.x, pr.y, pr.z); // new, better with continues second derivative for bump mapping + // scalar: 3 add + float3 p = p0 + f; + // scalar: 3 mad + // TODO: need reverse??? + float4 NoiseSample = tex::lookup_float4(PerlinNoise3DTexture, p / Extent + 0.5f / Extent); // +0.5f to get rid of bilinear offset + + // reconstruct from 8bit (using mad with 2 constants and dot4 was same instruction count) + // scalar: 4 mad, 3 mul, 3 add + float3 n = float3(NoiseSample.x, NoiseSample.y, NoiseSample.z) * 255.0f / 127.0f - 1.0f; + float d = NoiseSample.w * 255.f - 127; + return math::dot(xyz, n) - d; +} + +// Perlin-style "Modified Noise" +// http://www.umbc.edu/~olano/papers/index.html#mNoise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = MGradient(int(seeds.seed000), seeds.fv - float3(0, 0, 0)).w; + float rand100 = MGradient(int(seeds.seed100), seeds.fv - float3(1, 0, 0)).w; + float rand010 = MGradient(int(seeds.seed010), seeds.fv - float3(0, 1, 0)).w; + float rand110 = MGradient(int(seeds.seed110), seeds.fv - float3(1, 1, 0)).w; + float rand001 = MGradient(int(seeds.seed001), seeds.fv - float3(0, 0, 1)).w; + float rand101 = MGradient(int(seeds.seed101), seeds.fv - float3(1, 0, 1)).w; + float rand011 = MGradient(int(seeds.seed011), seeds.fv - float3(0, 1, 1)).w; + float rand111 = MGradient(int(seeds.seed111), seeds.fv - float3(1, 1, 1)).w; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D value noise - used to be incorrectly called Perlin noise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float ValueNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = RandBBSfloat(seeds.seed000) * 2 - 1; + float rand100 = RandBBSfloat(seeds.seed100) * 2 - 1; + float rand010 = RandBBSfloat(seeds.seed010) * 2 - 1; + float rand110 = RandBBSfloat(seeds.seed110) * 2 - 1; + float rand001 = RandBBSfloat(seeds.seed001) * 2 - 1; + float rand101 = RandBBSfloat(seeds.seed101) * 2 - 1; + float rand011 = RandBBSfloat(seeds.seed011) * 2 - 1; + float rand111 = RandBBSfloat(seeds.seed111) * 2 - 1; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D jitter offset within a voronoi noise cell +// @param pos - integer lattice corner +// @return random offsets vector +float3 VoronoiCornerSample(float3 pos, int Quality) +{ + // random values in [-0.5, 0.5] + float3 noise = float3(Rand3DPCG16(int3(pos))) / 0xffff - 0.5; + + // quality level 1 or 2: searches a 2x2x2 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 2x2x2 search + if (Quality <= 2) + { + return math::normalize(noise) * 0.2588; + } + + // quality level 3: searches a 3x3x3 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 3x3x3 search + if (Quality == 3) + { + return math::normalize(noise) * 0.3090; + } + + // quality level 4: jitter to anywhere in the cell, needs 4x4x4 search + return noise; +} + +// compare previous best with a new candidate +// not producing point locations makes it easier for compiler to eliminate calculations when they're not needed +// @param minval = location and distance of best candidate seed point before the new one +// @param candidate = candidate seed point +// @param offset = 3D offset to new candidate seed point +// @param bDistanceOnly = if true, only set maxval.w with distance, otherwise maxval.w is distance and maxval.xyz is position +// @return position (if bDistanceOnly is false) and distance to closest seed point so far +float4 VoronoiCompare(float4 minval, float3 candidate, float3 offset, bool bDistanceOnly) +{ + if (bDistanceOnly) + { + return float4(0, 0, 0, math::min(minval.w, math::dot(offset, offset))); + } + else + { + float newdist = math::dot(offset, offset); + return newdist > minval.w ? minval : float4(candidate.x, candidate.y, candidate.z, newdist); + } +} + +// 220 instruction Worley noise +float4 VoronoiNoise3D_ALU(float3 v, int Quality, bool bTiling, float RepeatSize, bool bDistanceOnly) +{ + float3 fv = math::frac(v), fv2 = math::frac(v + 0.5); + float3 iv = math::floor(v), iv2 = math::floor(v + 0.5); + + // with initial minimum distance = infinity (or at least bigger than 4), first min is optimized away + float4 mindist = float4(0,0,0,100); + float3 p, offset; + + // quality level 3: do a 3x3x3 search + if (Quality == 3) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 1; ++offset_x) + { + for (offset_y = -1; offset_y <= 1; ++offset_y) + { + for (offset_z = -1; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + + // everybody else searches a base 2x2x2 neighborhood + else + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = 0; offset_x <= 1; ++offset_x) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // quality level 2, do extra set of points, offset by half a cell + if (Quality == 2) + { + // 467 is just an offset to a different area in the random number field to avoid similar neighbor artifacts + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize) + 467, Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + } + + // quality level 4: add extra sets of four cells in each direction + if (Quality >= 4) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 2; offset_x += 3) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + // along x axis + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along y axis + p = float3(offset.y, offset.z, offset.x) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.y, offset.z, offset.x), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along z axis + p = float3(offset.z, offset.x, offset.y) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.z, offset.x, offset.y), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + } + } + } + } + + // transform squared distance to real distance + return float4(mindist.x, mindist.y, mindist.z, math::sqrt(mindist.w)); +} + +// Coordinates for corners of a Simplex tetrahedron +// Based on McEwan et al., Efficient computation of noise in GLSL, JGT 2011 +// @param v = 3D noise argument +// @return 4 corner locations +float4x3 SimplexCorners(float3 v) +{ + // find base corner by skewing to tetrahedral space and back + float3 tet = math::floor(v + v.x/3 + v.y/3 + v.z/3); + float3 base = tet - tet.x/6 - tet.y/6 - tet.z/6; + float3 f = v - base; + + // Find offsets to other corners (McEwan did this in tetrahedral space, + // but since skew is along x=y=z axis, this works in Euclidean space too.) + float3 g = math::step(float3(f.y,f.z,f.x), float3(f.x,f.y,f.z)), h = 1 - float3(g.z, g.x, g.y); + float3 a1 = math::min(g, h) - 1.0 / 6.0, a2 = math::max(g, h) - 1.0 / 3.0; + + // four corners + return float4x3(base, base + a1, base + a2, base + 0.5); +} + +// Improved smoothing function for simplex noise +// @param f = fractional distance to four tetrahedral corners +// @return weight for each corner +float4 SimplexSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + return (1 * scale + s*(-3 * scale + s*(3 * scale - s*scale))); +} + +// Derivative of simplex noise smoothing function +// @param f = fractional distanc eto four tetrahedral corners +// @return derivative of smoothing function for each corner by x, y and z +float3x4 SimplexDSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + s = -12 * scale + s*(24 * scale - s * 12 * scale); + + return float3x4( + s * float4(f[0][0], f[1][0], f[2][0], f[3][0]), + s * float4(f[0][1], f[1][1], f[2][1], f[3][1]), + s * float4(f[0][2], f[1][2], f[2][2], f[3][2])); +} + +// Simplex noise and its Jacobian derivative +// @param v = 3D noise argument +// @param bTiling = whether to repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension, must be a multiple of 3 +// @return float3x3 Jacobian in J[*].xyz, vector noise in J[*].w +// J[0].w, J[1].w, J[2].w is a Perlin-style simplex noise with vector output, e.g. (Nx, Ny, Nz) +// J[i].x is X derivative of the i'th component of the noise so J[2].x is dNz/dx +// You can use this to compute the noise, gradient, curl, or divergence: +// float3x4 J = JacobianSimplex_ALU(...); +// float3 VNoise = float3(J[0].w, J[1].w, J[2].w); // 3D noise +// float3 Grad = J[0].xyz; // gradient of J[0].w +// float3 Curl = float3(J[1][2]-J[2][1], J[2][0]-J[0][2], J[0][1]-J[1][2]); +// float Div = J[0][0]+J[1][1]+J[2][2]; +// All of these are confirmed to compile out all unneeded terms. +// So Grad of X doesn't compute Y or Z components, and VNoise doesn't do any of the derivative computation. +float3x4 JacobianSimplex_ALU(float3 v, bool bTiling, float RepeatSize) +{ + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1. / 0x4000, 1. / 0x2000, 1. / 0x1000); + + // corners of tetrahedron + float4x3 T = SimplexCorners(v); + // TODO: uint3 + int3 rand = int3(0); + float4x3 gvec0 = float4x3(1.0); + float4x3 gvec1 = float4x3(1.0); + float4x3 gvec2 = float4x3(1.0); + float4x3 fv = float4x3(1.0); + float3x4 grad = float3x4(1.0); + + // processing of tetrahedral vertices, unrolled + // to compute gradient at each corner + fv[0] = v - T[0]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[0] + 0.5, bTiling, RepeatSize)))); + gvec0[0] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[0] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[0] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][0] = math::dot(gvec0[0], fv[0]); + grad[1][0] = math::dot(gvec1[0], fv[0]); + grad[2][0] = math::dot(gvec2[0], fv[0]); + + fv[1] = v - T[1]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[1] + 0.5, bTiling, RepeatSize)))); + gvec0[1] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][1] = math::dot(gvec0[1], fv[1]); + grad[1][1] = math::dot(gvec1[1], fv[1]); + grad[2][1] = math::dot(gvec2[1], fv[1]); + + fv[2] = v - T[2]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[2] + 0.5, bTiling, RepeatSize)))); + gvec0[2] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[2] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[2] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][2] = math::dot(gvec0[2], fv[2]); + grad[1][2] = math::dot(gvec1[2], fv[2]); + grad[2][2] = math::dot(gvec2[2], fv[2]); + + fv[3] = v - T[3]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[3] + 0.5, bTiling, RepeatSize)))); + gvec0[3] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[3] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[3] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][3] = math::dot(gvec0[3], fv[3]); + grad[1][3] = math::dot(gvec1[3], fv[3]); + grad[2][3] = math::dot(gvec2[3], fv[3]); + + // blend gradients + float4 sv = SimplexSmooth(fv); + float3x4 ds = SimplexDSmooth(fv); + + float3x4 jacobian = float3x4(1.0); + float3 vec0 = gvec0*sv + grad[0]*ds; // NOTE: mdl is column major, convert from UE4 (row major) + jacobian[0] = float4(vec0.x, vec0.y, vec0.z, math::dot(sv, grad[0])); + float3 vec1 = gvec1*sv + grad[1]*ds; + jacobian[1] = float4(vec1.x, vec1.y, vec1.z, math::dot(sv, grad[1])); + float3 vec2 = gvec2*sv + grad[2]*ds; + jacobian[2] = float4(vec2.x, vec2.y, vec2.z, math::dot(sv, grad[2])); + + return jacobian; +} + +// While RepeatSize is a float here, the expectation is that it would be largely integer values coming in from the UI. The downstream logic assumes +// floats for all called functions (NoiseTileWrap) and this prevents any float-to-int conversion errors from automatic type conversion. +float Noise3D_Multiplexer(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, int Function, float3 Position, int Quality, bool bTiling, float RepeatSize) +{ + // verified, HLSL compiled out the switch if Function is a constant + switch(Function) + { + case 0: + return SimplexNoise3D_TEX(PerlinNoiseGradientTexture, Position); + case 1: + return GradientNoise3D_TEX(PerlinNoiseGradientTexture, Position, bTiling, RepeatSize); + case 2: + return FastGradientPerlinNoise3D_TEX(PerlinNoise3DTexture, Position); + case 3: + return GradientNoise3D_ALU(Position, bTiling, RepeatSize); + case 4: + return ValueNoise3D_ALU(Position, bTiling, RepeatSize); + case 5: + return VoronoiNoise3D_ALU(Position, Quality, bTiling, RepeatSize, true).w * 2.0 - 1.0; + } + return 0; +} +//---------------------------------------------------------- + +export float noise(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, float3 Position, float Scale, float Quality, float Function, float Turbulence, float Levels, float OutputMin, float OutputMax, float LevelScale, float FilterWidth, float Tiling, float RepeatSize) +[[ + anno::description("Noise"), + anno::noinline() +]] +{ + Position *= Scale; + FilterWidth *= Scale; + + float Out = 0.0f; + float OutScale = 1.0f; + float InvLevelScale = 1.0f / LevelScale; + + int iFunction(Function); + int iQuality(Quality); + int iLevels(Levels); + bool bTurbulence(Turbulence); + bool bTiling(Tiling); + + for(int i = 0; i < iLevels; ++i) + { + // fade out noise level that are too high frequent (not done through dynamic branching as it usually requires gradient instructions) + OutScale *= math::saturate(1.0 - FilterWidth); + + if(bTurbulence) + { + Out += math::abs(Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize)) * OutScale; + } + else + { + Out += Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize) * OutScale; + } + + Position *= LevelScale; + RepeatSize *= LevelScale; + OutScale *= InvLevelScale; + FilterWidth *= LevelScale; + } + + if(!bTurbulence) + { + // bring -1..1 to 0..1 range + Out = Out * 0.5f + 0.5f; + } + + // Out is in 0..1 range + return math::lerp(OutputMin, OutputMax, Out); +} + +// Material node for noise functions returning a vector value +// @param LevelScale usually 2 but higher values allow efficient use of few levels +// @return in user defined range (OutputMin..OutputMax) +export float4 vector4_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise"), + anno::noinline() +]] +{ + float4 result = float4(0,0,0,1); + float3 ret = float3(0); + int iQuality = int(Quality); + int iFunction = int(Function); + bool bTiling = Tiling > 0.0; + + float3x4 Jacobian = JacobianSimplex_ALU(Position, bTiling, TileSize); // compiled out if not used + + // verified, HLSL compiled out the switch if Function is a constant + switch (iFunction) + { + case 0: // Cellnoise + ret = float3(Rand3DPCG16(int3(math::floor(NoiseTileWrap(Position, bTiling, TileSize))))) / 0xffff; + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 1: // Color noise + ret = float3(Jacobian[0].w, Jacobian[1].w, Jacobian[2].w); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 2: // Gradient + result = Jacobian[0]; + break; + case 3: // Curl + ret = float3(Jacobian[2][1] - Jacobian[1][2], Jacobian[0][2] - Jacobian[2][0], Jacobian[1][0] - Jacobian[0][1]); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 4: // Voronoi + result = VoronoiNoise3D_ALU(Position, iQuality, bTiling, TileSize, false); + break; + } + return result; +} + +export float3 vector3_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise float3 version"), + anno::noinline() +]] +{ + float4 noise = vector4_noise(Position, Quality, Function, Tiling, TileSize); + return float3(noise.x, noise.y, noise.z); +} + + +// workaround for ue4 fresnel (without supporting for camera vector) : replacing it with 0.0, means facing to the view +export float fresnel(float exponent [[anno::unused()]], float base_reflect_fraction [[anno::unused()]], float3 normal [[anno::unused()]]) +[[ + anno::description("Fresnel"), + anno::noinline() +]] +{ + return 0.0; +} + +export float fresnel_function(float3 normal_vector [[anno::unused()]], float3 camera_vector [[anno::unused()]], + bool invert_fresnel [[anno::unused()]], float power [[anno::unused()]], + bool use_cheap_contrast [[anno::unused()]], float cheap_contrast_dark [[anno::unused()]], float cheap_contrast_bright [[anno::unused()]], + bool clamp_fresnel_dot_product [[anno::unused()]]) +[[ + anno::description("Fresnel Function"), + anno::noinline() +]] +{ + return 0.0; +} + +export float3 camera_vector(uniform bool up_z = true) +[[ + anno::description("Camera Vector"), + anno::noinline() +]] +{ + // assume camera postion is 0,0,0 + return math::normalize(float3(0) - convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)); +} + +export float pixel_depth() +[[ + anno::description("Pixel Depth"), + anno::noinline() +]] +{ + return 256.0f; +} + +export float scene_depth() +[[ + anno::description("Scene Depth") +]] +{ + return 65500.0f; +} + +export float3 scene_color() +[[ + anno::description("Scene Color") +]] +{ + return float3(1.0f); +} + +export float4 vertex_color() +[[ + anno::description("Vertex Color"), + anno::noinline() +]] +{ + return float4(1.0f); +} + +export float4 vertex_color_from_coordinate(int VertexColorCoordinateIndex) +[[ + anno::description("Vertex Color for float2 PrimVar"), + anno::noinline() +]] +{ + // Kit only supports 4 uv sets, 2 uvs are available to vertex color. if vertex color index is invalid, output the constant WHITE color intead + return (VertexColorCoordinateIndex > 2) ? float4(1.0f) : float4(state::texture_coordinate(VertexColorCoordinateIndex).x, state::texture_coordinate(VertexColorCoordinateIndex).y, state::texture_coordinate(VertexColorCoordinateIndex+1).x, state::texture_coordinate(VertexColorCoordinateIndex+1).y); +} + +export float3 camera_position() +[[ + anno::description("Camera Position"), + anno::noinline() +]] +{ + return float3(1000.0f, 0, 0); +} + +export float3 rotate_about_axis(float4 NormalizedRotationAxisAndAngle, float3 PositionOnAxis, float3 Position) +[[ + anno::description("Rotates Position about the given axis by the given angle") +]] +{ + // Project Position onto the rotation axis and find the closest point on the axis to Position + float3 NormalizedRotationAxis = float3(NormalizedRotationAxisAndAngle.x,NormalizedRotationAxisAndAngle.y,NormalizedRotationAxisAndAngle.z); + float3 ClosestPointOnAxis = PositionOnAxis + NormalizedRotationAxis * math::dot(NormalizedRotationAxis, Position - PositionOnAxis); + // Construct orthogonal axes in the plane of the rotation + float3 UAxis = Position - ClosestPointOnAxis; + float3 VAxis = math::cross(NormalizedRotationAxis, UAxis); + float[2] SinCosAngle = math::sincos(NormalizedRotationAxisAndAngle.w); + // Rotate using the orthogonal axes + float3 R = UAxis * SinCosAngle[1] + VAxis * SinCosAngle[0]; + // Reconstruct the rotated world space position + float3 RotatedPosition = ClosestPointOnAxis + R; + // Convert from position to a position offset + return RotatedPosition - Position; +} + +export float2 rotate_scale_offset_texcoords(float2 InTexCoords, float4 InRotationScale, float2 InOffset) +[[ + anno::description("Returns a float2 texture coordinate after 2x2 transform and offset applied") +]] +{ + return float2(math::dot(InTexCoords, float2(InRotationScale.x, InRotationScale.y)), math::dot(InTexCoords, float2(InRotationScale.z, InRotationScale.w))) + InOffset; +} + +export float3 reflection_custom_world_normal(float3 WorldNormal, bool bNormalizeInputNormal, uniform bool up_z = true) +[[ + anno::description("Reflection vector about the specified world space normal") +]] +{ + if (bNormalizeInputNormal) + { + WorldNormal = math::normalize(WorldNormal); + } + + return -camera_vector(up_z) + WorldNormal * math::dot(WorldNormal, camera_vector(up_z)) * 2.0; +} + +export float3 reflection_vector(uniform bool up_z = true) +[[ + anno::description("Reflection Vector"), + anno::noinline() +]] +{ + float3 normal = convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); + return reflection_custom_world_normal(normal, false, up_z); +} + +export float dither_temporalAA(float AlphaThreshold = 0.5f, float Random = 1.0f [[anno::unused()]]) +[[ + anno::description("Dither TemporalAA"), + anno::noinline() +]] +{ + return AlphaThreshold; +} + +export float3 black_body( float Temp ) +[[ + anno::description("Black Body"), + anno::noinline() +]] +{ + float u = ( 0.860117757f + 1.54118254e-4f * Temp + 1.28641212e-7f * Temp*Temp ) / ( 1.0f + 8.42420235e-4f * Temp + 7.08145163e-7f * Temp*Temp ); + float v = ( 0.317398726f + 4.22806245e-5f * Temp + 4.20481691e-8f * Temp*Temp ) / ( 1.0f - 2.89741816e-5f * Temp + 1.61456053e-7f * Temp*Temp ); + + float x = 3*u / ( 2*u - 8*v + 4 ); + float y = 2*v / ( 2*u - 8*v + 4 ); + float z = 1 - x - y; + + float Y = 1; + float X = Y/y * x; + float Z = Y/y * z; + + float3x3 XYZtoRGB = float3x3( + float3(3.2404542, -1.5371385, -0.4985314), + float3(-0.9692660, 1.8760108, 0.0415560), + float3(0.0556434, -0.2040259, 1.0572252) + ); + + return XYZtoRGB * float3( X, Y, Z ) * math::pow( 0.0004 * Temp, 4 ); +} + +export float per_instance_random(uniform texture_2d PerlinNoiseGradientTexture, int NumberInstances) +[[ + anno::description("Per Instance Random"), + anno::noinline() +]] +{ + float weight = state::object_id() / float(NumberInstances); + return NumberInstances == 0 ? 0.0 : tex::lookup_float4(PerlinNoiseGradientTexture, float2(weight, 1.0 - weight), tex::wrap_repeat, tex::wrap_repeat).x; +} + +//------------------ Hair from UE4 ----------------------- +float3 hair_absorption_to_color(float3 A) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::exp(-math::sqrt(A) * D); +} + +float3 hair_color_to_absorption(float3 C) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::pow(math::log(C) / D, 2.0f); +} + +export float3 get_hair_color_from_melanin(float InMelanin, float InRedness, float3 InDyeColor) +[[ + anno::description("Hair Color") +]] +{ + InMelanin = math::saturate(InMelanin); + InRedness = math::saturate(InRedness); + float Melanin = -math::log(math::max(1 - InMelanin, 0.0001f)); + float Eumelanin = Melanin * (1 - InRedness); + float Pheomelanin = Melanin * InRedness; + + float3 DyeAbsorption = hair_color_to_absorption(math::saturate(InDyeColor)); + float3 Absorption = Eumelanin * float3(0.506f, 0.841f, 1.653f) + Pheomelanin * float3(0.343f, 0.733f, 1.924f); + + return hair_absorption_to_color(Absorption + DyeAbsorption); +} + +export float3 local_object_bounds_min() +[[ + anno::description("Local Object Bounds Min"), + anno::noinline() +]] +{ + return float3(0.0); +} + +export float3 local_object_bounds_max() +[[ + anno::description("Local Object Bounds Max"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float3 object_bounds() +[[ + anno::description("Object Bounds"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float object_radius() +[[ + anno::description("Object Radius"), + anno::noinline() +]] +{ + return 100.0f; +} + +export float3 object_world_position(uniform bool up_z = true) +[[ + anno::description("Object World Position"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)*state::meters_per_scene_unit()*100.0; +} + +export float3 object_orientation() +[[ + anno::description("Object Orientation"), + anno::noinline() +]] +{ + return float3(0); +} + +export float rcp(float x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float2 rcp(float2 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float3 rcp(float3 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float4 rcp(float4 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export int BitFieldExtractI32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractI32 int"), + anno::noinline() +]] +{ + Size &= 3; + Offset &= 3; + + if (Size == 0) + return 0; + else if (Offset + Size < 32) + return (Data << (32 - Size - Offset)) >> (32 - Size); + else + return Data >> Offset; +} + +export int BitFieldExtractI32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractI32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(int(Data), int(Size), int(Offset)); +} + +export int BitFieldExtractU32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractU32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export int BitFieldExtractU32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractU32 int"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export float3 EyeAdaptationInverseLookup(float3 LightValue, float Alpha) +[[ + anno::description("EyeAdaptationInverseLookup"), + anno::noinline() +]] +{ + float Adaptation = 1.0f; + + // When Alpha=0.0, we want to multiply by 1.0. when Alpha = 1.0, we want to multiply by 1/Adaptation. + // So the lerped value is: + // LerpLogScale = Lerp(log(1),log(1/Adaptaiton),T) + // Which is simplified as: + // LerpLogScale = Lerp(0,-log(Adaptation),T) + // LerpLogScale = -T * logAdaptation; + + float LerpLogScale = -Alpha * math::log(Adaptation); + float Scale = math::exp(LerpLogScale); + return LightValue * Scale; +} diff --git a/Shelf/BP_Freezer5/Materials/OmniUe4Translucent.mdl b/Shelf/BP_Freezer5/Materials/OmniUe4Translucent.mdl new file mode 100644 index 0000000000000000000000000000000000000000..483a83004b8f7d5bf820a7905d06ea2d7d5894af --- /dev/null +++ b/Shelf/BP_Freezer5/Materials/OmniUe4Translucent.mdl @@ -0,0 +1,233 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.0 - first version +//* 1.0.1 - Emissive color affected by opacity +// - Support opacity mask +//* 1.0.2 - Unlit translucent +//* 1.0.3 - specular bsdf instead of microfacet ggx smith bsdf +//* 1.0.4 - using absolute import paths when importing standard modules + +mdl 1.3; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + +float emissive_multiplier() +[[ + anno::description("the multiplier to convert UE4 emissive to raw data"), + anno::noinline() +]] +{ + return 20.0f * 128.0f; +} + +color get_translucent_tint(color base_color, float opacity) +[[ + anno::description("base color of UE4 translucent"), + anno::noinline() +]] +{ + return math::lerp(color(1.0), base_color, opacity); +} + +// Just for UE4 distilling +float get_translucent_opacity(float opacity) +[[ + anno::noinline() +]] +{ + return opacity; +} + +color get_emissive_intensity(color emissive, float opacity) +[[ + anno::description("emissive color of UE4 translucent"), + anno::noinline() +]] +{ + return emissive * opacity; +} + +float3 tangent_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in tangent space"), + anno::noinline() +]] +{ + return math::normalize( + tangent_u * normal.x - + tangent_v * normal.y + /* flip_tangent_v */ + state::normal() * (normal.z)); +} + +float3 world_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in world space"), + anno::noinline() +]] +{ + return tangent_space_normal( + math::normalize( + normal.x * float3(tangent_u.x, tangent_v.x, state::normal().x) - + normal.y * float3(tangent_u.y, tangent_v.y, state::normal().y) + + normal.z * float3(tangent_u.z, tangent_v.z, state::normal().z)), + tangent_u, + tangent_v + ); +} + +export material OmniUe4Translucent( + float3 base_color = float3(0.0, 0.0, 0.0), + float metallic = 0.0, + float roughness = 0.5, + float specular = 0.5, + float3 normal = float3(0.0,0.0,1.0), + uniform bool enable_opacity = true, + float opacity = 1.0, + float opacity_mask = 1.0, + float3 emissive_color = float3(0.0, 0.0, 0.0), + float3 displacement = float3(0.0), + uniform float refraction = 1.0, + uniform bool two_sided = false, + uniform bool is_tangent_space_normal = true, + uniform bool is_unlit = false +) +[[ + anno::display_name("Omni UE4 Translucent"), + anno::description("Omni UE4 Translucent, supports UE4 Translucent shading model"), + anno::version( 1, 0, 0), + anno::author("NVIDIA CORPORATION"), + anno::key_words(string[]("omni", "UE4", "omniverse", "translucent")) +]] + = let { + color final_base_color = math::saturate(base_color); + float final_metallic = math::min(math::max(metallic, 0.0f), 0.99f); + float final_roughness = math::saturate(roughness); + float final_specular = math::saturate(specular); + color final_emissive_color = math::max(emissive_color, 0.0f) * emissive_multiplier(); /*factor for converting ue4 emissive to raw value*/ + float final_opacity = math::saturate(opacity); + float3 final_normal = math::normalize(normal); + + + // - compute final roughness by squaring the "roughness" parameter + float alpha = final_roughness * final_roughness; + // reduce the reflectivity at grazing angles to avoid "dark edges" for high roughness due to the layering + float grazing_refl = math::max((1.0 - final_roughness), 0.0); + + float3 the_normal = is_unlit ? state::normal() : + (is_tangent_space_normal ? + tangent_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + )); + + // for the dielectric component we layer the glossy component on top of the diffuse one, + // the glossy layer has no color tint + + bsdf dielectric_component = df::custom_curve_layer( + weight: final_specular, + normal_reflectivity: 0.08, + grazing_reflectivity: grazing_refl, + layer: df::microfacet_ggx_smith_bsdf(roughness_u: alpha), + base: df::diffuse_reflection_bsdf(tint: final_base_color)); + + // the metallic component doesn't have a diffuse component, it's only glossy + // base_color is applied to tint it + bsdf metallic_component = df::microfacet_ggx_smith_bsdf(tint: final_base_color, roughness_u: alpha); + + // final BSDF is a linear blend between dielectric and metallic component + bsdf dielectric_metal_mix = + df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: metallic_component, + weight: final_metallic), + df::bsdf_component( + component: dielectric_component, + weight: 1.0-final_metallic) + ) + ); + + bsdf frosted_bsdf = df::specular_bsdf( + tint: color(1), + mode: df::scatter_reflect_transmit + ); + + bsdf final_mix_bsdf = + is_unlit ? df::specular_bsdf( + tint: get_translucent_tint(base_color: final_base_color, opacity: final_opacity), + mode: df::scatter_reflect_transmit + ) + : df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: dielectric_metal_mix, + weight: get_translucent_opacity(final_opacity)), + df::bsdf_component( + component: frosted_bsdf, + weight: 1.0-get_translucent_opacity(final_opacity)) + ) + ); +} +in material( + thin_walled: two_sided, // Graphene? + ior: color(refraction), //refraction + surface: material_surface( + scattering: final_mix_bsdf, + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: get_emissive_intensity(emissive: final_emissive_color, opacity: final_opacity) + ) + ), + + geometry: material_geometry( + displacement: displacement, + normal: the_normal, + cutout_opacity: enable_opacity ? opacity_mask : 1.0 + ) +); diff --git a/Shelf/BP_Freezer5/Materials/Textures/Basket_01a_AO.png b/Shelf/BP_Freezer5/Materials/Textures/Basket_01a_AO.png new file mode 100644 index 0000000000000000000000000000000000000000..908d6380c8e36cde2e5b43d7fa4f8fa43ec48ea3 --- /dev/null +++ b/Shelf/BP_Freezer5/Materials/Textures/Basket_01a_AO.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid 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b/Shelf/BP_Freezer5/instance_phys.usd differ diff --git a/Shelf/BP_Freezer7/.thumbs/256x256/instance_phys.usd.png b/Shelf/BP_Freezer7/.thumbs/256x256/instance_phys.usd.png new file mode 100644 index 0000000000000000000000000000000000000000..c392081e7c3601b29f76ce44b84aface8074caeb --- /dev/null +++ b/Shelf/BP_Freezer7/.thumbs/256x256/instance_phys.usd.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:255d5ca0b1c1a5d952b9b2adecf520199120403cdc39cd979076435582977225 +size 61568 diff --git a/Shelf/BP_Freezer7/Materials/MI_Cooler_01a.mdl b/Shelf/BP_Freezer7/Materials/MI_Cooler_01a.mdl new file mode 100644 index 0000000000000000000000000000000000000000..299a3bef1819749c0c222d90aa0e2319eae6af63 --- /dev/null +++ b/Shelf/BP_Freezer7/Materials/MI_Cooler_01a.mdl @@ -0,0 +1,107 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material MI_Cooler_01a( + float TwoSidedSign = 1.0 + [[ + anno::hidden() + ]], + float TextureCoord = 1.0 + [[ + anno::display_name("Texture Coord"), + anno::ui_order(32), + anno::in_group("1.Textures") + ]], + uniform texture_2d Normal = texture_2d("./Textures/TX_Fill_01a_NRM.png",::tex::gamma_linear) + [[ + anno::display_name("Normal"), + anno::ui_order(32), + anno::in_group("1.Textures"), + sampler_normal() + ]], + float NormalIntensity = 1.0 + [[ + anno::display_name("Normal Intensity"), + anno::ui_order(32), + anno::in_group("Normal") + ]], + uniform texture_2d Albedo = texture_2d("./Textures/TX_Fill_01a_ALB.png",::tex::gamma_srgb) + [[ + anno::display_name("Albedo "), + anno::ui_order(32), + anno::in_group("1.Textures"), + sampler_color() + ]], + float4 AlbedoColorTint = float4(1.0,1.0,1.0,1.0) + [[ + anno::display_name("Albedo Color Tint"), + anno::ui_order(32), + anno::in_group("Albedo") + ]], + uniform texture_2d RMA = texture_2d("./Textures/TX_Fill_01a_RMA.png",::tex::gamma_linear) + [[ + anno::display_name("RMA"), + anno::description("R = Roughness | G = Metalness | B = Ambient Occlusion | A = Other "), + anno::ui_order(32), + anno::in_group("1.Textures"), + sampler_masks() + ]], + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + float2 Local0 = (CustomizedUV0_mdl * TextureCoord); + float4 Local1 = ::unpack_normal_map(tex::lookup_float4(Normal,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat)); + float3 Local2 = (TwoSidedSign * float3(Local1.x,Local1.y,Local1.z)); + float Local3 = (1.0 - NormalIntensity); + float3 Local4 = math::lerp(Local2,float3(0.0,0.0,1.0),Local3); + + float3 Normal_mdl = Local4; + + float4 Local5 = tex::lookup_float4(Albedo,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 Local6 = (float3(Local5.x,Local5.y,Local5.z) * float3(AlbedoColorTint.x,AlbedoColorTint.y,AlbedoColorTint.z)); + float4 Local7 = tex::lookup_float4(RMA,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat); + float Local8 = (Local7.z * 0.5); + float Local9 = math::min(math::max(Local7.x,0.0),1.0); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float OpacityMask_mdl = 1.0; + float3 BaseColor_mdl = Local6; + float Metallic_mdl = Local7.y; + float Specular_mdl = Local8; + float Roughness_mdl = Local9; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_Freezer7/Materials/M_Glass_01.mdl b/Shelf/BP_Freezer7/Materials/M_Glass_01.mdl new file mode 100644 index 0000000000000000000000000000000000000000..2aa1c378296fc564e935b111afa63e9fb98ca45e --- /dev/null +++ b/Shelf/BP_Freezer7/Materials/M_Glass_01.mdl @@ -0,0 +1,70 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Translucent import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material M_Glass_01( + float4 Color = float4(0.0,0.0,0.0,0.0) + [[ + anno::display_name("Color"), + anno::ui_order(32) + ]], + uniform texture_2d RMA = texture_2d("./Textures/Glass_01_MADS.png",::tex::gamma_srgb) + [[ + anno::display_name("RMA"), + anno::ui_order(32), + sampler_color() + ]], + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + + float3 Normal_mdl = float3(0.0,0.0,1.0); + + float4 Local0 = tex::lookup_float4(RMA,float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float Local1 = (1.0 - Local0.w); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float Opacity_mdl = 0.4; + float OpacityMask_mdl = (math::saturate(0.4) - 1.0f / 255.0f) < 0.0f ? 0.0f : 1.0f; + float3 BaseColor_mdl = float3(Color.x,Color.y,Color.z); + float Metallic_mdl = Local0.x; + float Specular_mdl = 0.5; + float Roughness_mdl = Local1; + float3 Refraction_mdl = math::max(float3(1.0,0.0,0.0), 1.0f); + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Translucent( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: Opacity_mdl, + opacity_mask: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + refraction: Refraction_mdl.x, + two_sided: false); diff --git a/Shelf/BP_Freezer7/Materials/OmniUe4Base.mdl b/Shelf/BP_Freezer7/Materials/OmniUe4Base.mdl new file mode 100644 index 0000000000000000000000000000000000000000..a441fbaf28040302c7aaabfbcf14b24a85bdf643 --- /dev/null +++ b/Shelf/BP_Freezer7/Materials/OmniUe4Base.mdl @@ -0,0 +1,224 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.0 - first version +//* 1.0.1 - merge unlit template +//* 1.0.2 - Fix EDF in the back side: the EDF contained in surface is only used for the front side and not for the back side +//* 1.0.3 - UE4 normal mapping: Geometry normal shouldn't be changed +//* 1.0.4 - using absolute import paths when importing standard modules + +mdl 1.3; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + +float emissive_multiplier() +[[ + anno::description("the multiplier to convert UE4 emissive to raw data"), + anno::noinline() +]] +{ + return 20.0f * 128.0f; +} + +float3 tangent_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in tangent space"), + anno::noinline() +]] +{ + return math::normalize( + tangent_u * normal.x - /* flip_tangent_v */ + tangent_v * normal.y + + state::normal() * (normal.z)); +} + +float3 world_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in world space"), + anno::noinline() +]] +{ + return tangent_space_normal( + math::normalize( + normal.x * float3(tangent_u.x, tangent_v.x, state::normal().x) - + normal.y * float3(tangent_u.y, tangent_v.y, state::normal().y) + + normal.z * float3(tangent_u.z, tangent_v.z, state::normal().z)), + tangent_u, + tangent_v + ); +} + +export material OmniUe4Base( + float3 base_color = float3(0.0, 0.0, 0.0), + float metallic = 0.0, + float roughness = 0.5, + float specular = 0.5, + float3 normal = float3(0.0,0.0,1.0), + float clearcoat_weight = 0.0, + float clearcoat_roughness = 0.0, + float3 clearcoat_normal = float3(0.0,0.0,1.0), + uniform bool enable_opacity = true, + float opacity = 1.0, + float3 emissive_color = float3(0.0, 0.0, 0.0), + float3 displacement = float3(0.0), + uniform bool is_tangent_space_normal = true, + uniform bool two_sided = false, + uniform bool is_unlit = false +) +[[ + anno::display_name("Omni UE4 Base"), + anno::description("Omni UE4 Base, supports UE4 default lit and clearcoat shading model"), + anno::version( 1, 0, 0), + anno::author("NVIDIA CORPORATION"), + anno::key_words(string[]("omni", "UE4", "omniverse", "lit", "clearcoat", "generic")) +]] + = let { + color final_base_color = math::saturate(base_color); + float final_metallic = math::saturate(metallic); + float final_roughness = math::saturate(roughness); + float final_specular = math::saturate(specular); + color final_emissive_color = math::max(emissive_color, 0.0f) * emissive_multiplier(); /*factor for converting ue4 emissive to raw value*/ + float final_clearcoat_weight = math::saturate(clearcoat_weight); + float final_clearcoat_roughness = math::saturate(clearcoat_roughness); + float3 final_normal = math::normalize(normal); + float3 final_clearcoat_normal = math::normalize(clearcoat_normal); + + // - compute final roughness by squaring the "roughness" parameter + float alpha = final_roughness * final_roughness; + // reduce the reflectivity at grazing angles to avoid "dark edges" for high roughness due to the layering + float grazing_refl = math::max((1.0 - final_roughness), 0.0); + + float3 the_normal = is_unlit ? state::normal() : + (is_tangent_space_normal ? + tangent_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + )); + + // for the dielectric component we layer the glossy component on top of the diffuse one, + // the glossy layer has no color tint + + bsdf dielectric_component = df::custom_curve_layer( + weight: final_specular, + normal_reflectivity: 0.08, + grazing_reflectivity: grazing_refl, + layer: df::microfacet_ggx_smith_bsdf(roughness_u: alpha), + base: df::diffuse_reflection_bsdf(tint: final_base_color), + normal: the_normal); + + // the metallic component doesn't have a diffuse component, it's only glossy + // base_color is applied to tint it + bsdf metallic_component = df::microfacet_ggx_smith_bsdf(tint: final_base_color, roughness_u: alpha); + + // final BSDF is a linear blend between dielectric and metallic component + bsdf dielectric_metal_mix = + df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: metallic_component, + weight: final_metallic), + df::bsdf_component( + component: dielectric_component, + weight: 1.0-final_metallic) + ) + ); + + // clearcoat layer + float clearcoat_grazing_refl = math::max((1.0 - final_clearcoat_roughness), 0.0); + float clearcoat_alpha = final_clearcoat_roughness * final_clearcoat_roughness; + + float3 the_clearcoat_normal = is_tangent_space_normal ? tangent_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ); + + + bsdf clearcoat = + df::custom_curve_layer( + base: df::weighted_layer( + layer: dielectric_metal_mix, + weight: 1.0, + normal: final_clearcoat_weight == 0.0 ? state::normal() : the_normal + ), + layer: df::microfacet_ggx_smith_bsdf( + roughness_u: clearcoat_alpha, + tint: color(1.0) + ), + normal_reflectivity: 0.04, + grazing_reflectivity: clearcoat_grazing_refl, + normal: the_clearcoat_normal, + weight: final_clearcoat_weight + ); + bsdf surface = is_unlit ? bsdf() : clearcoat; +} +in material( + thin_walled: two_sided, // Graphene? + surface: material_surface( + scattering: surface, + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + backface: material_surface( + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + geometry: material_geometry( + displacement: displacement, + normal: final_clearcoat_weight == 0.0 ? the_normal : state::normal(), + cutout_opacity: enable_opacity ? opacity : 1.0 + ) +); diff --git a/Shelf/BP_Freezer7/Materials/OmniUe4Function.mdl b/Shelf/BP_Freezer7/Materials/OmniUe4Function.mdl new file mode 100644 index 0000000000000000000000000000000000000000..84f4f0da48ff31d03ee611373fe3a4d2e04c9079 --- /dev/null +++ b/Shelf/BP_Freezer7/Materials/OmniUe4Function.mdl @@ -0,0 +1,1413 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.1 - using absolute import paths when importing standard modules + +mdl 1.6; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + + +export float3 convert_to_left_hand(float3 vec3, uniform bool up_z = true, uniform bool is_position = true) +[[ + anno::description("convert from RH to LH"), + anno::noinline() +]] +{ + float4x4 ZupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, -1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4x4 YupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4 vec4 = float4(vec3.x, vec3.y, vec3.z, is_position ? 1.0f : 0.0f); + + vec4 = vec4 * (up_z ? ZupConversion : YupConversion); + + return float3(vec4.x, vec4.y, vec4.z); +} + +export float3 transform_vector_from_tangent_to_world(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from tangent space to world space"), + anno::noinline() +]] +{ + /* flip_tangent_v */ + return convert_to_left_hand( + tangent_u * vector.x - tangent_v * vector.y + state::normal() * vector.z, + up_z, false); +} + +export float3 transform_vector_from_world_to_tangent(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from world space to tangent space"), + anno::noinline() +]] +{ + float3 vecRH = convert_to_left_hand(vector, up_z, false); + /* flip_tangent_v */ + return vecRH.x * float3(tangent_u.x, -tangent_v.x, state::normal().x) + + vecRH.y * float3(tangent_u.y, -tangent_v.y, state::normal().y) + + vecRH.z * float3(tangent_u.z, -tangent_v.z, state::normal().z); +} + +export float4 unpack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Unpack a normal stored in a normal map"), + anno::noinline() +]] +{ + float2 normal_xy = float2(texture_sample.x, texture_sample.y); + + normal_xy = normal_xy * float2(2.0,2.0) - float2(1.0,1.0); + float normal_z = math::sqrt( math::saturate( 1.0 - math::dot( normal_xy, normal_xy ) ) ); + return float4( normal_xy.x, normal_xy.y, normal_z, 1.0 ); +} + +// for get color value from normal. +export float4 pack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Pack to color from a normal") +]] +{ + float2 return_xy = float2(texture_sample.x, texture_sample.y); + + return_xy = (return_xy + float2(1.0,1.0)) / float2(2.0,2.0); + + return float4( return_xy.x, return_xy.y, 0.0, 1.0 ); +} + +export float4 greyscale_texture_lookup( + float4 texture_sample = float4(0.0, 0.0, 0.0, 1.0) + ) +[[ + anno::description("Sampling a greyscale texture"), + anno::noinline() +]] +{ + return float4(texture_sample.x, texture_sample.x, texture_sample.x, texture_sample.x); +} + +export float3 pixel_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Pixel normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 vertex_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Vertex normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 landscape_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Landscape normal in world space") +]] +{ + float3 normalFromNormalmap = math::floor((::vertex_normal_world_space(up_z) * 0.5 + 0.5) * 255.0) / 255.0 * 2.0 - 1.0; + + float2 normalXY = float2(normalFromNormalmap.x, normalFromNormalmap.y); + return float3(normalXY.x, normalXY.y, math::sqrt(math::saturate(1.0 - math::dot(normalXY, normalXY)))); +} + +// Different implementation specific between mdl and hlsl for smoothstep +export float smoothstep(float a, float b, float l) +{ + if (a < b) + { + return math::smoothstep(a, b, l); + } + else if (a > b) + { + return 1.0 - math::smoothstep(b, a, l); + } + else + { + return l <= a ? 0.0 : 1.0; + } +} + +export float2 smoothstep(float2 a, float2 b, float2 l) +{ + return float2(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y)); +} + +export float3 smoothstep(float3 a, float3 b, float3 l) +{ + return float3(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z)); +} + +export float4 smoothstep(float4 a, float4 b, float4 l) +{ + return float4(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z), smoothstep(a.w, b.w, l.w)); +} + +export float2 smoothstep(float2 a, float2 b, float l) +{ + return float2(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l)); +} + +export float3 smoothstep(float3 a, float3 b, float l) +{ + return float3(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l)); +} + +export float4 smoothstep(float4 a, float4 b, float l) +{ + return float4(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l), smoothstep(a.w, b.w, l)); +} + +export float2 smoothstep(float a, float b, float2 l) +{ + return float2(smoothstep(a, b, l.x), smoothstep(a, b, l.y)); +} + +export float3 smoothstep(float a, float b, float3 l) +{ + return float3(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z)); +} + +export float4 smoothstep(float a, float b, float4 l) +{ + return float4(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z), smoothstep(a, b, l.w)); +} + +//------------------ Random from UE4 ----------------------- +float length2(float3 v) +{ + return math::dot(v, v); +} + +float3 GetPerlinNoiseGradientTextureAt(uniform texture_2d PerlinNoiseGradientTexture, float3 v) +{ + const float2 ZShear = float2(17.0f, 89.0f); + + float2 OffsetA = v.z * ZShear; + float2 TexA = (float2(v.x, v.y) + OffsetA + 0.5f) / 128.0f; + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA.x,1.0-TexA.y),tex::wrap_repeat,tex::wrap_repeat); + return float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z) * 2.0 - 1.0; +} + +float3 SkewSimplex(float3 In) +{ + return In + math::dot(In, float3(1.0 / 3.0f) ); +} +float3 UnSkewSimplex(float3 In) +{ + return In - math::dot(In, float3(1.0 / 6.0f) ); +} + +// 3D random number generator inspired by PCGs (permuted congruential generator) +// Using a **simple** Feistel cipher in place of the usual xor shift permutation step +// @param v = 3D integer coordinate +// @return three elements w/ 16 random bits each (0-0xffff). +// ~8 ALU operations for result.x (7 mad, 1 >>) +// ~10 ALU operations for result.xy (8 mad, 2 >>) +// ~12 ALU operations for result.xyz (9 mad, 3 >>) + +//TODO: uint3 +int3 Rand3DPCG16(int3 p) +{ + // taking a signed int then reinterpreting as unsigned gives good behavior for negatives + //TODO: uint3 + int3 v = int3(p); + + // Linear congruential step. These LCG constants are from Numerical Recipies + // For additional #'s, PCG would do multiple LCG steps and scramble each on output + // So v here is the RNG state + v = v * 1664525 + 1013904223; + + // PCG uses xorshift for the final shuffle, but it is expensive (and cheap + // versions of xorshift have visible artifacts). Instead, use simple MAD Feistel steps + // + // Feistel ciphers divide the state into separate parts (usually by bits) + // then apply a series of permutation steps one part at a time. The permutations + // use a reversible operation (usually ^) to part being updated with the result of + // a permutation function on the other parts and the key. + // + // In this case, I'm using v.x, v.y and v.z as the parts, using + instead of ^ for + // the combination function, and just multiplying the other two parts (no key) for + // the permutation function. + // + // That gives a simple mad per round. + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + + // only top 16 bits are well shuffled + return v >> 16; +} + +// Wraps noise for tiling texture creation +// @param v = unwrapped texture parameter +// @param bTiling = true to tile, false to not tile +// @param RepeatSize = number of units before repeating +// @return either original or wrapped coord +float3 NoiseTileWrap(float3 v, bool bTiling, float RepeatSize) +{ + return bTiling ? (math::frac(v / RepeatSize) * RepeatSize) : v; +} + +// Evaluate polynomial to get smooth transitions for Perlin noise +// only needed by Perlin functions in this file +// scalar(per component): 2 add, 5 mul +float4 PerlinRamp(float4 t) +{ + return t * t * t * (t * (t * 6 - 15) + 10); +} + +// Blum-Blum-Shub-inspired pseudo random number generator +// http://www.umbc.edu/~olano/papers/mNoise.pdf +// real BBS uses ((s*s) mod M) with bignums and M as the product of two huge Blum primes +// instead, we use a single prime M just small enough not to overflow +// note that the above paper used 61, which fits in a half, but is unusably bad +// @param Integer valued floating point seed +// @return random number in range [0,1) +// ~8 ALU operations (5 *, 3 frac) +float RandBBSfloat(float seed) +{ + float BBS_PRIME24 = 4093.0; + float s = math::frac(seed / BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + return s; +} + +// Modified noise gradient term +// @param seed - random seed for integer lattice position +// @param offset - [-1,1] offset of evaluation point from lattice point +// @return gradient direction (xyz) and contribution (w) from this lattice point +float4 MGradient(int seed, float3 offset) +{ + //TODO uint + int rand = Rand3DPCG16(int3(seed,0,0)).x; + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1.0 / 0x4000, 1.0 / 0x2000, 1.0 / 0x1000); + float3 direction = float3(int3(rand, rand, rand) & MGradientMask) * MGradientScale - 1; + return float4(direction.x, direction.y, direction.z, math::dot(direction, offset)); +} + +// compute Perlin and related noise corner seed values +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = true to return seed values for a repeating noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @param seed000-seed111 = hash function seeds for the eight corners +// @return fractional part of v +struct SeedValue +{ + float3 fv = float3(0); + float seed000 = 0; + float seed001 = 0; + float seed010 = 0; + float seed011 = 0; + float seed100 = 0; + float seed101 = 0; + float seed110 = 0; + float seed111 = 0; +}; + +SeedValue NoiseSeeds(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds; + seeds.fv = math::frac(v); + float3 iv = math::floor(v); + + const float3 primes = float3(19, 47, 101); + + if (bTiling) + { // can't algebraically combine with primes + seeds.seed000 = math::dot(primes, NoiseTileWrap(iv, true, RepeatSize)); + seeds.seed100 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 0), true, RepeatSize)); + seeds.seed010 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 0), true, RepeatSize)); + seeds.seed110 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 0), true, RepeatSize)); + seeds.seed001 = math::dot(primes, NoiseTileWrap(iv + float3(0, 0, 1), true, RepeatSize)); + seeds.seed101 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 1), true, RepeatSize)); + seeds.seed011 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 1), true, RepeatSize)); + seeds.seed111 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 1), true, RepeatSize)); + } + else + { // get to combine offsets with multiplication by primes in this case + seeds.seed000 = math::dot(iv, primes); + seeds.seed100 = seeds.seed000 + primes.x; + seeds.seed010 = seeds.seed000 + primes.y; + seeds.seed110 = seeds.seed100 + primes.y; + seeds.seed001 = seeds.seed000 + primes.z; + seeds.seed101 = seeds.seed100 + primes.z; + seeds.seed011 = seeds.seed010 + primes.z; + seeds.seed111 = seeds.seed110 + primes.z; + } + + return seeds; +} + +struct SimplexWeights +{ + float4 Result = float4(0); + float3 PosA = float3(0); + float3 PosB = float3(0); + float3 PosC = float3(0); + float3 PosD = float3(0); +}; + +// Computed weights and sample positions for simplex interpolation +// @return float4(a,b,c, d) Barycentric coordinate defined as Filtered = Tex(PosA) * a + Tex(PosB) * b + Tex(PosC) * c + Tex(PosD) * d +SimplexWeights ComputeSimplexWeights3D(float3 OrthogonalPos) +{ + SimplexWeights weights; + float3 OrthogonalPosFloor = math::floor(OrthogonalPos); + + weights.PosA = OrthogonalPosFloor; + weights.PosB = weights.PosA + float3(1, 1, 1); + + OrthogonalPos -= OrthogonalPosFloor; + + float Largest = math::max(OrthogonalPos.x, math::max(OrthogonalPos.y, OrthogonalPos.z)); + float Smallest = math::min(OrthogonalPos.x, math::min(OrthogonalPos.y, OrthogonalPos.z)); + + weights.PosC = weights.PosA + float3(Largest == OrthogonalPos.x, Largest == OrthogonalPos.y, Largest == OrthogonalPos.z); + weights.PosD = weights.PosA + float3(Smallest != OrthogonalPos.x, Smallest != OrthogonalPos.y, Smallest != OrthogonalPos.z); + + float RG = OrthogonalPos.x - OrthogonalPos.y; + float RB = OrthogonalPos.x - OrthogonalPos.z; + float GB = OrthogonalPos.y - OrthogonalPos.z; + + weights.Result.z = + math::min(math::max(0, RG), math::max(0, RB)) // X + + math::min(math::max(0, -RG), math::max(0, GB)) // Y + + math::min(math::max(0, -RB), math::max(0, -GB)); // Z + + weights.Result.w = + math::min(math::max(0, -RG), math::max(0, -RB)) // X + + math::min(math::max(0, RG), math::max(0, -GB)) // Y + + math::min(math::max(0, RB), math::max(0, GB)); // Z + + weights.Result.y = Smallest; + weights.Result.x = 1.0f - weights.Result.y - weights.Result.z - weights.Result.w; + + return weights; +} + +// filtered 3D gradient simple noise (few texture lookups, high quality) +// @param v >0 +// @return random number in the range -1 .. 1 +float SimplexNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 EvalPos) +{ + float3 OrthogonalPos = SkewSimplex(EvalPos); + + SimplexWeights Weights = ComputeSimplexWeights3D(OrthogonalPos); + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 32 bit) + float3 A = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosA); + float3 B = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosB); + float3 C = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosC); + float3 D = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosD); + + Weights.PosA = UnSkewSimplex(Weights.PosA); + Weights.PosB = UnSkewSimplex(Weights.PosB); + Weights.PosC = UnSkewSimplex(Weights.PosC); + Weights.PosD = UnSkewSimplex(Weights.PosD); + + float DistanceWeight; + + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosA)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float a = math::dot(A, EvalPos - Weights.PosA) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosB)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float b = math::dot(B, EvalPos - Weights.PosB) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosC)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float c = math::dot(C, EvalPos - Weights.PosC) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosD)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float d = math::dot(D, EvalPos - Weights.PosD) * DistanceWeight; + + return 32 * (a + b + c + d); +} + +// filtered 3D noise, can be optimized +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 v, bool bTiling, float RepeatSize) +{ + bTiling = true; + float3 fv = math::frac(v); + float3 iv0 = NoiseTileWrap(math::floor(v), bTiling, RepeatSize); + float3 iv1 = NoiseTileWrap(iv0 + 1, bTiling, RepeatSize); + + const int2 ZShear = int2(17, 89); + + float2 OffsetA = iv0.z * ZShear; + float2 OffsetB = OffsetA + ZShear; // non-tiling, use relative offset + if (bTiling) // tiling, have to compute from wrapped coordinates + { + OffsetB = iv1.z * ZShear; + } + + // Texture size scale factor + float ts = 1 / 128.0f; + + // texture coordinates for iv0.xy, as offset for both z slices + float2 TexA0 = (float2(iv0.x, iv0.y) + OffsetA + 0.5f) * ts; + float2 TexB0 = (float2(iv0.x, iv0.y) + OffsetB + 0.5f) * ts; + + // texture coordinates for iv1.xy, as offset for both z slices + float2 TexA1 = TexA0 + ts; // for non-tiling, can compute relative to existing coordinates + float2 TexB1 = TexB0 + ts; + if (bTiling) // for tiling, need to compute from wrapped coordinates + { + TexA1 = (float2(iv1.x, iv1.y) + OffsetA + 0.5f) * ts; + TexB1 = (float2(iv1.x, iv1.y) + OffsetB + 0.5f) * ts; + } + + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 8, 16 or 32 bit) + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 A = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 B = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 C = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 D = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 E = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 F = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 G = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 H = PerlinNoiseColor * 2 - 1; + + float a = math::dot(A, fv - float3(0, 0, 0)); + float b = math::dot(B, fv - float3(1, 0, 0)); + float c = math::dot(C, fv - float3(0, 1, 0)); + float d = math::dot(D, fv - float3(1, 1, 0)); + float e = math::dot(E, fv - float3(0, 0, 1)); + float f = math::dot(F, fv - float3(1, 0, 1)); + float g = math::dot(G, fv - float3(0, 1, 1)); + float h = math::dot(H, fv - float3(1, 1, 1)); + + float4 Weights = PerlinRamp(math::frac(float4(fv.x, fv.y, fv.z, 0))); + + float i = math::lerp(math::lerp(a, b, Weights.x), math::lerp(c, d, Weights.x), Weights.y); + float j = math::lerp(math::lerp(e, f, Weights.x), math::lerp(g, h, Weights.x), Weights.y); + + return math::lerp(i, j, Weights.z); +} + +// @return random number in the range -1 .. 1 +// scalar: 6 frac, 31 mul/mad, 15 add, +float FastGradientPerlinNoise3D_TEX(uniform texture_3d PerlinNoise3DTexture, float3 xyz) +{ + // needs to be the same value when creating the PerlinNoise3D texture + float Extent = 16; + + // last texel replicated and needed for filtering + // scalar: 3 frac, 6 mul + xyz = math::frac(xyz / (Extent - 1)) * (Extent - 1); + + // scalar: 3 frac + float3 uvw = math::frac(xyz); + // = floor(xyz); + // scalar: 3 add + float3 p0 = xyz - uvw; +// float3 f = math::pow(uvw, 2) * 3.0f - math::pow(uvw, 3) * 2.0f; // original perlin hermite (ok when used without bump mapping) + // scalar: 2*3 add 5*3 mul + float4 pr = PerlinRamp(float4(uvw.x, uvw.y, uvw.z, 0)); + float3 f = float3(pr.x, pr.y, pr.z); // new, better with continues second derivative for bump mapping + // scalar: 3 add + float3 p = p0 + f; + // scalar: 3 mad + // TODO: need reverse??? + float4 NoiseSample = tex::lookup_float4(PerlinNoise3DTexture, p / Extent + 0.5f / Extent); // +0.5f to get rid of bilinear offset + + // reconstruct from 8bit (using mad with 2 constants and dot4 was same instruction count) + // scalar: 4 mad, 3 mul, 3 add + float3 n = float3(NoiseSample.x, NoiseSample.y, NoiseSample.z) * 255.0f / 127.0f - 1.0f; + float d = NoiseSample.w * 255.f - 127; + return math::dot(xyz, n) - d; +} + +// Perlin-style "Modified Noise" +// http://www.umbc.edu/~olano/papers/index.html#mNoise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = MGradient(int(seeds.seed000), seeds.fv - float3(0, 0, 0)).w; + float rand100 = MGradient(int(seeds.seed100), seeds.fv - float3(1, 0, 0)).w; + float rand010 = MGradient(int(seeds.seed010), seeds.fv - float3(0, 1, 0)).w; + float rand110 = MGradient(int(seeds.seed110), seeds.fv - float3(1, 1, 0)).w; + float rand001 = MGradient(int(seeds.seed001), seeds.fv - float3(0, 0, 1)).w; + float rand101 = MGradient(int(seeds.seed101), seeds.fv - float3(1, 0, 1)).w; + float rand011 = MGradient(int(seeds.seed011), seeds.fv - float3(0, 1, 1)).w; + float rand111 = MGradient(int(seeds.seed111), seeds.fv - float3(1, 1, 1)).w; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D value noise - used to be incorrectly called Perlin noise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float ValueNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = RandBBSfloat(seeds.seed000) * 2 - 1; + float rand100 = RandBBSfloat(seeds.seed100) * 2 - 1; + float rand010 = RandBBSfloat(seeds.seed010) * 2 - 1; + float rand110 = RandBBSfloat(seeds.seed110) * 2 - 1; + float rand001 = RandBBSfloat(seeds.seed001) * 2 - 1; + float rand101 = RandBBSfloat(seeds.seed101) * 2 - 1; + float rand011 = RandBBSfloat(seeds.seed011) * 2 - 1; + float rand111 = RandBBSfloat(seeds.seed111) * 2 - 1; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D jitter offset within a voronoi noise cell +// @param pos - integer lattice corner +// @return random offsets vector +float3 VoronoiCornerSample(float3 pos, int Quality) +{ + // random values in [-0.5, 0.5] + float3 noise = float3(Rand3DPCG16(int3(pos))) / 0xffff - 0.5; + + // quality level 1 or 2: searches a 2x2x2 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 2x2x2 search + if (Quality <= 2) + { + return math::normalize(noise) * 0.2588; + } + + // quality level 3: searches a 3x3x3 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 3x3x3 search + if (Quality == 3) + { + return math::normalize(noise) * 0.3090; + } + + // quality level 4: jitter to anywhere in the cell, needs 4x4x4 search + return noise; +} + +// compare previous best with a new candidate +// not producing point locations makes it easier for compiler to eliminate calculations when they're not needed +// @param minval = location and distance of best candidate seed point before the new one +// @param candidate = candidate seed point +// @param offset = 3D offset to new candidate seed point +// @param bDistanceOnly = if true, only set maxval.w with distance, otherwise maxval.w is distance and maxval.xyz is position +// @return position (if bDistanceOnly is false) and distance to closest seed point so far +float4 VoronoiCompare(float4 minval, float3 candidate, float3 offset, bool bDistanceOnly) +{ + if (bDistanceOnly) + { + return float4(0, 0, 0, math::min(minval.w, math::dot(offset, offset))); + } + else + { + float newdist = math::dot(offset, offset); + return newdist > minval.w ? minval : float4(candidate.x, candidate.y, candidate.z, newdist); + } +} + +// 220 instruction Worley noise +float4 VoronoiNoise3D_ALU(float3 v, int Quality, bool bTiling, float RepeatSize, bool bDistanceOnly) +{ + float3 fv = math::frac(v), fv2 = math::frac(v + 0.5); + float3 iv = math::floor(v), iv2 = math::floor(v + 0.5); + + // with initial minimum distance = infinity (or at least bigger than 4), first min is optimized away + float4 mindist = float4(0,0,0,100); + float3 p, offset; + + // quality level 3: do a 3x3x3 search + if (Quality == 3) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 1; ++offset_x) + { + for (offset_y = -1; offset_y <= 1; ++offset_y) + { + for (offset_z = -1; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + + // everybody else searches a base 2x2x2 neighborhood + else + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = 0; offset_x <= 1; ++offset_x) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // quality level 2, do extra set of points, offset by half a cell + if (Quality == 2) + { + // 467 is just an offset to a different area in the random number field to avoid similar neighbor artifacts + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize) + 467, Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + } + + // quality level 4: add extra sets of four cells in each direction + if (Quality >= 4) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 2; offset_x += 3) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + // along x axis + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along y axis + p = float3(offset.y, offset.z, offset.x) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.y, offset.z, offset.x), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along z axis + p = float3(offset.z, offset.x, offset.y) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.z, offset.x, offset.y), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + } + } + } + } + + // transform squared distance to real distance + return float4(mindist.x, mindist.y, mindist.z, math::sqrt(mindist.w)); +} + +// Coordinates for corners of a Simplex tetrahedron +// Based on McEwan et al., Efficient computation of noise in GLSL, JGT 2011 +// @param v = 3D noise argument +// @return 4 corner locations +float4x3 SimplexCorners(float3 v) +{ + // find base corner by skewing to tetrahedral space and back + float3 tet = math::floor(v + v.x/3 + v.y/3 + v.z/3); + float3 base = tet - tet.x/6 - tet.y/6 - tet.z/6; + float3 f = v - base; + + // Find offsets to other corners (McEwan did this in tetrahedral space, + // but since skew is along x=y=z axis, this works in Euclidean space too.) + float3 g = math::step(float3(f.y,f.z,f.x), float3(f.x,f.y,f.z)), h = 1 - float3(g.z, g.x, g.y); + float3 a1 = math::min(g, h) - 1.0 / 6.0, a2 = math::max(g, h) - 1.0 / 3.0; + + // four corners + return float4x3(base, base + a1, base + a2, base + 0.5); +} + +// Improved smoothing function for simplex noise +// @param f = fractional distance to four tetrahedral corners +// @return weight for each corner +float4 SimplexSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + return (1 * scale + s*(-3 * scale + s*(3 * scale - s*scale))); +} + +// Derivative of simplex noise smoothing function +// @param f = fractional distanc eto four tetrahedral corners +// @return derivative of smoothing function for each corner by x, y and z +float3x4 SimplexDSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + s = -12 * scale + s*(24 * scale - s * 12 * scale); + + return float3x4( + s * float4(f[0][0], f[1][0], f[2][0], f[3][0]), + s * float4(f[0][1], f[1][1], f[2][1], f[3][1]), + s * float4(f[0][2], f[1][2], f[2][2], f[3][2])); +} + +// Simplex noise and its Jacobian derivative +// @param v = 3D noise argument +// @param bTiling = whether to repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension, must be a multiple of 3 +// @return float3x3 Jacobian in J[*].xyz, vector noise in J[*].w +// J[0].w, J[1].w, J[2].w is a Perlin-style simplex noise with vector output, e.g. (Nx, Ny, Nz) +// J[i].x is X derivative of the i'th component of the noise so J[2].x is dNz/dx +// You can use this to compute the noise, gradient, curl, or divergence: +// float3x4 J = JacobianSimplex_ALU(...); +// float3 VNoise = float3(J[0].w, J[1].w, J[2].w); // 3D noise +// float3 Grad = J[0].xyz; // gradient of J[0].w +// float3 Curl = float3(J[1][2]-J[2][1], J[2][0]-J[0][2], J[0][1]-J[1][2]); +// float Div = J[0][0]+J[1][1]+J[2][2]; +// All of these are confirmed to compile out all unneeded terms. +// So Grad of X doesn't compute Y or Z components, and VNoise doesn't do any of the derivative computation. +float3x4 JacobianSimplex_ALU(float3 v, bool bTiling, float RepeatSize) +{ + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1. / 0x4000, 1. / 0x2000, 1. / 0x1000); + + // corners of tetrahedron + float4x3 T = SimplexCorners(v); + // TODO: uint3 + int3 rand = int3(0); + float4x3 gvec0 = float4x3(1.0); + float4x3 gvec1 = float4x3(1.0); + float4x3 gvec2 = float4x3(1.0); + float4x3 fv = float4x3(1.0); + float3x4 grad = float3x4(1.0); + + // processing of tetrahedral vertices, unrolled + // to compute gradient at each corner + fv[0] = v - T[0]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[0] + 0.5, bTiling, RepeatSize)))); + gvec0[0] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[0] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[0] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][0] = math::dot(gvec0[0], fv[0]); + grad[1][0] = math::dot(gvec1[0], fv[0]); + grad[2][0] = math::dot(gvec2[0], fv[0]); + + fv[1] = v - T[1]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[1] + 0.5, bTiling, RepeatSize)))); + gvec0[1] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][1] = math::dot(gvec0[1], fv[1]); + grad[1][1] = math::dot(gvec1[1], fv[1]); + grad[2][1] = math::dot(gvec2[1], fv[1]); + + fv[2] = v - T[2]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[2] + 0.5, bTiling, RepeatSize)))); + gvec0[2] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[2] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[2] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][2] = math::dot(gvec0[2], fv[2]); + grad[1][2] = math::dot(gvec1[2], fv[2]); + grad[2][2] = math::dot(gvec2[2], fv[2]); + + fv[3] = v - T[3]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[3] + 0.5, bTiling, RepeatSize)))); + gvec0[3] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[3] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[3] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][3] = math::dot(gvec0[3], fv[3]); + grad[1][3] = math::dot(gvec1[3], fv[3]); + grad[2][3] = math::dot(gvec2[3], fv[3]); + + // blend gradients + float4 sv = SimplexSmooth(fv); + float3x4 ds = SimplexDSmooth(fv); + + float3x4 jacobian = float3x4(1.0); + float3 vec0 = gvec0*sv + grad[0]*ds; // NOTE: mdl is column major, convert from UE4 (row major) + jacobian[0] = float4(vec0.x, vec0.y, vec0.z, math::dot(sv, grad[0])); + float3 vec1 = gvec1*sv + grad[1]*ds; + jacobian[1] = float4(vec1.x, vec1.y, vec1.z, math::dot(sv, grad[1])); + float3 vec2 = gvec2*sv + grad[2]*ds; + jacobian[2] = float4(vec2.x, vec2.y, vec2.z, math::dot(sv, grad[2])); + + return jacobian; +} + +// While RepeatSize is a float here, the expectation is that it would be largely integer values coming in from the UI. The downstream logic assumes +// floats for all called functions (NoiseTileWrap) and this prevents any float-to-int conversion errors from automatic type conversion. +float Noise3D_Multiplexer(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, int Function, float3 Position, int Quality, bool bTiling, float RepeatSize) +{ + // verified, HLSL compiled out the switch if Function is a constant + switch(Function) + { + case 0: + return SimplexNoise3D_TEX(PerlinNoiseGradientTexture, Position); + case 1: + return GradientNoise3D_TEX(PerlinNoiseGradientTexture, Position, bTiling, RepeatSize); + case 2: + return FastGradientPerlinNoise3D_TEX(PerlinNoise3DTexture, Position); + case 3: + return GradientNoise3D_ALU(Position, bTiling, RepeatSize); + case 4: + return ValueNoise3D_ALU(Position, bTiling, RepeatSize); + case 5: + return VoronoiNoise3D_ALU(Position, Quality, bTiling, RepeatSize, true).w * 2.0 - 1.0; + } + return 0; +} +//---------------------------------------------------------- + +export float noise(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, float3 Position, float Scale, float Quality, float Function, float Turbulence, float Levels, float OutputMin, float OutputMax, float LevelScale, float FilterWidth, float Tiling, float RepeatSize) +[[ + anno::description("Noise"), + anno::noinline() +]] +{ + Position *= Scale; + FilterWidth *= Scale; + + float Out = 0.0f; + float OutScale = 1.0f; + float InvLevelScale = 1.0f / LevelScale; + + int iFunction(Function); + int iQuality(Quality); + int iLevels(Levels); + bool bTurbulence(Turbulence); + bool bTiling(Tiling); + + for(int i = 0; i < iLevels; ++i) + { + // fade out noise level that are too high frequent (not done through dynamic branching as it usually requires gradient instructions) + OutScale *= math::saturate(1.0 - FilterWidth); + + if(bTurbulence) + { + Out += math::abs(Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize)) * OutScale; + } + else + { + Out += Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize) * OutScale; + } + + Position *= LevelScale; + RepeatSize *= LevelScale; + OutScale *= InvLevelScale; + FilterWidth *= LevelScale; + } + + if(!bTurbulence) + { + // bring -1..1 to 0..1 range + Out = Out * 0.5f + 0.5f; + } + + // Out is in 0..1 range + return math::lerp(OutputMin, OutputMax, Out); +} + +// Material node for noise functions returning a vector value +// @param LevelScale usually 2 but higher values allow efficient use of few levels +// @return in user defined range (OutputMin..OutputMax) +export float4 vector4_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise"), + anno::noinline() +]] +{ + float4 result = float4(0,0,0,1); + float3 ret = float3(0); + int iQuality = int(Quality); + int iFunction = int(Function); + bool bTiling = Tiling > 0.0; + + float3x4 Jacobian = JacobianSimplex_ALU(Position, bTiling, TileSize); // compiled out if not used + + // verified, HLSL compiled out the switch if Function is a constant + switch (iFunction) + { + case 0: // Cellnoise + ret = float3(Rand3DPCG16(int3(math::floor(NoiseTileWrap(Position, bTiling, TileSize))))) / 0xffff; + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 1: // Color noise + ret = float3(Jacobian[0].w, Jacobian[1].w, Jacobian[2].w); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 2: // Gradient + result = Jacobian[0]; + break; + case 3: // Curl + ret = float3(Jacobian[2][1] - Jacobian[1][2], Jacobian[0][2] - Jacobian[2][0], Jacobian[1][0] - Jacobian[0][1]); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 4: // Voronoi + result = VoronoiNoise3D_ALU(Position, iQuality, bTiling, TileSize, false); + break; + } + return result; +} + +export float3 vector3_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise float3 version"), + anno::noinline() +]] +{ + float4 noise = vector4_noise(Position, Quality, Function, Tiling, TileSize); + return float3(noise.x, noise.y, noise.z); +} + + +// workaround for ue4 fresnel (without supporting for camera vector) : replacing it with 0.0, means facing to the view +export float fresnel(float exponent [[anno::unused()]], float base_reflect_fraction [[anno::unused()]], float3 normal [[anno::unused()]]) +[[ + anno::description("Fresnel"), + anno::noinline() +]] +{ + return 0.0; +} + +export float fresnel_function(float3 normal_vector [[anno::unused()]], float3 camera_vector [[anno::unused()]], + bool invert_fresnel [[anno::unused()]], float power [[anno::unused()]], + bool use_cheap_contrast [[anno::unused()]], float cheap_contrast_dark [[anno::unused()]], float cheap_contrast_bright [[anno::unused()]], + bool clamp_fresnel_dot_product [[anno::unused()]]) +[[ + anno::description("Fresnel Function"), + anno::noinline() +]] +{ + return 0.0; +} + +export float3 camera_vector(uniform bool up_z = true) +[[ + anno::description("Camera Vector"), + anno::noinline() +]] +{ + // assume camera postion is 0,0,0 + return math::normalize(float3(0) - convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)); +} + +export float pixel_depth() +[[ + anno::description("Pixel Depth"), + anno::noinline() +]] +{ + return 256.0f; +} + +export float scene_depth() +[[ + anno::description("Scene Depth") +]] +{ + return 65500.0f; +} + +export float3 scene_color() +[[ + anno::description("Scene Color") +]] +{ + return float3(1.0f); +} + +export float4 vertex_color() +[[ + anno::description("Vertex Color"), + anno::noinline() +]] +{ + return float4(1.0f); +} + +export float4 vertex_color_from_coordinate(int VertexColorCoordinateIndex) +[[ + anno::description("Vertex Color for float2 PrimVar"), + anno::noinline() +]] +{ + // Kit only supports 4 uv sets, 2 uvs are available to vertex color. if vertex color index is invalid, output the constant WHITE color intead + return (VertexColorCoordinateIndex > 2) ? float4(1.0f) : float4(state::texture_coordinate(VertexColorCoordinateIndex).x, state::texture_coordinate(VertexColorCoordinateIndex).y, state::texture_coordinate(VertexColorCoordinateIndex+1).x, state::texture_coordinate(VertexColorCoordinateIndex+1).y); +} + +export float3 camera_position() +[[ + anno::description("Camera Position"), + anno::noinline() +]] +{ + return float3(1000.0f, 0, 0); +} + +export float3 rotate_about_axis(float4 NormalizedRotationAxisAndAngle, float3 PositionOnAxis, float3 Position) +[[ + anno::description("Rotates Position about the given axis by the given angle") +]] +{ + // Project Position onto the rotation axis and find the closest point on the axis to Position + float3 NormalizedRotationAxis = float3(NormalizedRotationAxisAndAngle.x,NormalizedRotationAxisAndAngle.y,NormalizedRotationAxisAndAngle.z); + float3 ClosestPointOnAxis = PositionOnAxis + NormalizedRotationAxis * math::dot(NormalizedRotationAxis, Position - PositionOnAxis); + // Construct orthogonal axes in the plane of the rotation + float3 UAxis = Position - ClosestPointOnAxis; + float3 VAxis = math::cross(NormalizedRotationAxis, UAxis); + float[2] SinCosAngle = math::sincos(NormalizedRotationAxisAndAngle.w); + // Rotate using the orthogonal axes + float3 R = UAxis * SinCosAngle[1] + VAxis * SinCosAngle[0]; + // Reconstruct the rotated world space position + float3 RotatedPosition = ClosestPointOnAxis + R; + // Convert from position to a position offset + return RotatedPosition - Position; +} + +export float2 rotate_scale_offset_texcoords(float2 InTexCoords, float4 InRotationScale, float2 InOffset) +[[ + anno::description("Returns a float2 texture coordinate after 2x2 transform and offset applied") +]] +{ + return float2(math::dot(InTexCoords, float2(InRotationScale.x, InRotationScale.y)), math::dot(InTexCoords, float2(InRotationScale.z, InRotationScale.w))) + InOffset; +} + +export float3 reflection_custom_world_normal(float3 WorldNormal, bool bNormalizeInputNormal, uniform bool up_z = true) +[[ + anno::description("Reflection vector about the specified world space normal") +]] +{ + if (bNormalizeInputNormal) + { + WorldNormal = math::normalize(WorldNormal); + } + + return -camera_vector(up_z) + WorldNormal * math::dot(WorldNormal, camera_vector(up_z)) * 2.0; +} + +export float3 reflection_vector(uniform bool up_z = true) +[[ + anno::description("Reflection Vector"), + anno::noinline() +]] +{ + float3 normal = convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); + return reflection_custom_world_normal(normal, false, up_z); +} + +export float dither_temporalAA(float AlphaThreshold = 0.5f, float Random = 1.0f [[anno::unused()]]) +[[ + anno::description("Dither TemporalAA"), + anno::noinline() +]] +{ + return AlphaThreshold; +} + +export float3 black_body( float Temp ) +[[ + anno::description("Black Body"), + anno::noinline() +]] +{ + float u = ( 0.860117757f + 1.54118254e-4f * Temp + 1.28641212e-7f * Temp*Temp ) / ( 1.0f + 8.42420235e-4f * Temp + 7.08145163e-7f * Temp*Temp ); + float v = ( 0.317398726f + 4.22806245e-5f * Temp + 4.20481691e-8f * Temp*Temp ) / ( 1.0f - 2.89741816e-5f * Temp + 1.61456053e-7f * Temp*Temp ); + + float x = 3*u / ( 2*u - 8*v + 4 ); + float y = 2*v / ( 2*u - 8*v + 4 ); + float z = 1 - x - y; + + float Y = 1; + float X = Y/y * x; + float Z = Y/y * z; + + float3x3 XYZtoRGB = float3x3( + float3(3.2404542, -1.5371385, -0.4985314), + float3(-0.9692660, 1.8760108, 0.0415560), + float3(0.0556434, -0.2040259, 1.0572252) + ); + + return XYZtoRGB * float3( X, Y, Z ) * math::pow( 0.0004 * Temp, 4 ); +} + +export float per_instance_random(uniform texture_2d PerlinNoiseGradientTexture, int NumberInstances) +[[ + anno::description("Per Instance Random"), + anno::noinline() +]] +{ + float weight = state::object_id() / float(NumberInstances); + return NumberInstances == 0 ? 0.0 : tex::lookup_float4(PerlinNoiseGradientTexture, float2(weight, 1.0 - weight), tex::wrap_repeat, tex::wrap_repeat).x; +} + +//------------------ Hair from UE4 ----------------------- +float3 hair_absorption_to_color(float3 A) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::exp(-math::sqrt(A) * D); +} + +float3 hair_color_to_absorption(float3 C) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::pow(math::log(C) / D, 2.0f); +} + +export float3 get_hair_color_from_melanin(float InMelanin, float InRedness, float3 InDyeColor) +[[ + anno::description("Hair Color") +]] +{ + InMelanin = math::saturate(InMelanin); + InRedness = math::saturate(InRedness); + float Melanin = -math::log(math::max(1 - InMelanin, 0.0001f)); + float Eumelanin = Melanin * (1 - InRedness); + float Pheomelanin = Melanin * InRedness; + + float3 DyeAbsorption = hair_color_to_absorption(math::saturate(InDyeColor)); + float3 Absorption = Eumelanin * float3(0.506f, 0.841f, 1.653f) + Pheomelanin * float3(0.343f, 0.733f, 1.924f); + + return hair_absorption_to_color(Absorption + DyeAbsorption); +} + +export float3 local_object_bounds_min() +[[ + anno::description("Local Object Bounds Min"), + anno::noinline() +]] +{ + return float3(0.0); +} + +export float3 local_object_bounds_max() +[[ + anno::description("Local Object Bounds Max"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float3 object_bounds() +[[ + anno::description("Object Bounds"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float object_radius() +[[ + anno::description("Object Radius"), + anno::noinline() +]] +{ + return 100.0f; +} + +export float3 object_world_position(uniform bool up_z = true) +[[ + anno::description("Object World Position"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)*state::meters_per_scene_unit()*100.0; +} + +export float3 object_orientation() +[[ + anno::description("Object Orientation"), + anno::noinline() +]] +{ + return float3(0); +} + +export float rcp(float x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float2 rcp(float2 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float3 rcp(float3 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float4 rcp(float4 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export int BitFieldExtractI32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractI32 int"), + anno::noinline() +]] +{ + Size &= 3; + Offset &= 3; + + if (Size == 0) + return 0; + else if (Offset + Size < 32) + return (Data << (32 - Size - Offset)) >> (32 - Size); + else + return Data >> Offset; +} + +export int BitFieldExtractI32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractI32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(int(Data), int(Size), int(Offset)); +} + +export int BitFieldExtractU32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractU32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export int BitFieldExtractU32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractU32 int"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export float3 EyeAdaptationInverseLookup(float3 LightValue, float Alpha) +[[ + anno::description("EyeAdaptationInverseLookup"), + anno::noinline() +]] +{ + float Adaptation = 1.0f; + + // When Alpha=0.0, we want to multiply by 1.0. when Alpha = 1.0, we want to multiply by 1/Adaptation. + // So the lerped value is: + // LerpLogScale = Lerp(log(1),log(1/Adaptaiton),T) + // Which is simplified as: + // LerpLogScale = Lerp(0,-log(Adaptation),T) + // LerpLogScale = -T * logAdaptation; + + float LerpLogScale = -Alpha * math::log(Adaptation); + float Scale = math::exp(LerpLogScale); + return LightValue * Scale; +} diff --git a/Shelf/BP_Freezer7/Materials/OmniUe4Translucent.mdl b/Shelf/BP_Freezer7/Materials/OmniUe4Translucent.mdl new file mode 100644 index 0000000000000000000000000000000000000000..483a83004b8f7d5bf820a7905d06ea2d7d5894af --- /dev/null +++ b/Shelf/BP_Freezer7/Materials/OmniUe4Translucent.mdl @@ -0,0 +1,233 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.0 - first version +//* 1.0.1 - Emissive color affected by opacity +// - Support opacity mask +//* 1.0.2 - Unlit translucent +//* 1.0.3 - specular bsdf instead of microfacet ggx smith bsdf +//* 1.0.4 - using absolute import paths when importing standard modules + +mdl 1.3; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + +float emissive_multiplier() +[[ + anno::description("the multiplier to convert UE4 emissive to raw data"), + anno::noinline() +]] +{ + return 20.0f * 128.0f; +} + +color get_translucent_tint(color base_color, float opacity) +[[ + anno::description("base color of UE4 translucent"), + anno::noinline() +]] +{ + return math::lerp(color(1.0), base_color, opacity); +} + +// Just for UE4 distilling +float get_translucent_opacity(float opacity) +[[ + anno::noinline() +]] +{ + return opacity; +} + +color get_emissive_intensity(color emissive, float opacity) +[[ + anno::description("emissive color of UE4 translucent"), + anno::noinline() +]] +{ + return emissive * opacity; +} + +float3 tangent_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in tangent space"), + anno::noinline() +]] +{ + return math::normalize( + tangent_u * normal.x - + tangent_v * normal.y + /* flip_tangent_v */ + state::normal() * (normal.z)); +} + +float3 world_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in world space"), + anno::noinline() +]] +{ + return tangent_space_normal( + math::normalize( + normal.x * float3(tangent_u.x, tangent_v.x, state::normal().x) - + normal.y * float3(tangent_u.y, tangent_v.y, state::normal().y) + + normal.z * float3(tangent_u.z, tangent_v.z, state::normal().z)), + tangent_u, + tangent_v + ); +} + +export material OmniUe4Translucent( + float3 base_color = float3(0.0, 0.0, 0.0), + float metallic = 0.0, + float roughness = 0.5, + float specular = 0.5, + float3 normal = float3(0.0,0.0,1.0), + uniform bool enable_opacity = true, + float opacity = 1.0, + float opacity_mask = 1.0, + float3 emissive_color = float3(0.0, 0.0, 0.0), + float3 displacement = float3(0.0), + uniform float refraction = 1.0, + uniform bool two_sided = false, + uniform bool is_tangent_space_normal = true, + uniform bool is_unlit = false +) +[[ + anno::display_name("Omni UE4 Translucent"), + anno::description("Omni UE4 Translucent, supports UE4 Translucent shading model"), + anno::version( 1, 0, 0), + anno::author("NVIDIA CORPORATION"), + anno::key_words(string[]("omni", "UE4", "omniverse", "translucent")) +]] + = let { + color final_base_color = math::saturate(base_color); + float final_metallic = math::min(math::max(metallic, 0.0f), 0.99f); + float final_roughness = math::saturate(roughness); + float final_specular = math::saturate(specular); + color final_emissive_color = math::max(emissive_color, 0.0f) * emissive_multiplier(); /*factor for converting ue4 emissive to raw value*/ + float final_opacity = math::saturate(opacity); + float3 final_normal = math::normalize(normal); + + + // - compute final roughness by squaring the "roughness" parameter + float alpha = final_roughness * final_roughness; + // reduce the reflectivity at grazing angles to avoid "dark edges" for high roughness due to the layering + float grazing_refl = math::max((1.0 - final_roughness), 0.0); + + float3 the_normal = is_unlit ? state::normal() : + (is_tangent_space_normal ? + tangent_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + )); + + // for the dielectric component we layer the glossy component on top of the diffuse one, + // the glossy layer has no color tint + + bsdf dielectric_component = df::custom_curve_layer( + weight: final_specular, + normal_reflectivity: 0.08, + grazing_reflectivity: grazing_refl, + layer: df::microfacet_ggx_smith_bsdf(roughness_u: alpha), + base: df::diffuse_reflection_bsdf(tint: final_base_color)); + + // the metallic component doesn't have a diffuse component, it's only glossy + // base_color is applied to tint it + bsdf metallic_component = df::microfacet_ggx_smith_bsdf(tint: final_base_color, roughness_u: alpha); + + // final BSDF is a linear blend between dielectric and metallic component + bsdf dielectric_metal_mix = + df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: metallic_component, + weight: final_metallic), + df::bsdf_component( + component: dielectric_component, + weight: 1.0-final_metallic) + ) + ); + + bsdf frosted_bsdf = df::specular_bsdf( + tint: color(1), + mode: df::scatter_reflect_transmit + ); + + bsdf final_mix_bsdf = + is_unlit ? df::specular_bsdf( + tint: get_translucent_tint(base_color: final_base_color, opacity: final_opacity), + mode: df::scatter_reflect_transmit + ) + : df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: dielectric_metal_mix, + weight: get_translucent_opacity(final_opacity)), + df::bsdf_component( + component: frosted_bsdf, + weight: 1.0-get_translucent_opacity(final_opacity)) + ) + ); +} +in material( + thin_walled: two_sided, // Graphene? + ior: color(refraction), //refraction + surface: material_surface( + scattering: final_mix_bsdf, + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: get_emissive_intensity(emissive: final_emissive_color, opacity: final_opacity) + ) + ), + + geometry: material_geometry( + displacement: displacement, + normal: the_normal, + cutout_opacity: enable_opacity ? opacity_mask : 1.0 + ) +); diff --git a/Shelf/BP_Freezer7/Materials/Textures/Glass_01_MADS.png b/Shelf/BP_Freezer7/Materials/Textures/Glass_01_MADS.png new file mode 100644 index 0000000000000000000000000000000000000000..2e53832ab9660cf83519aabd2a866a46aa7c2766 --- /dev/null +++ b/Shelf/BP_Freezer7/Materials/Textures/Glass_01_MADS.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid 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b/Shelf/BP_StandardShelf/Materials/MI_GondolaShelf.mdl new file mode 100644 index 0000000000000000000000000000000000000000..ba7e77d8f5d1167e5bf97a2d2defe76e28259ac7 --- /dev/null +++ b/Shelf/BP_StandardShelf/Materials/MI_GondolaShelf.mdl @@ -0,0 +1,99 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material MI_GondolaShelf( + float Tile = 1.0 + [[ + anno::display_name("Tile"), + anno::ui_order(32), + anno::in_group("Textures") + ]], + uniform texture_2d Normal = texture_2d("./Textures/T_Default_N.png",::tex::gamma_linear) + [[ + anno::display_name("Normal"), + anno::ui_order(32), + anno::in_group("Textures"), + sampler_normal() + ]], + float NormalIntensity = 1.0 + [[ + anno::display_name("Normal Intensity"), + anno::ui_order(32), + anno::in_group("Textures") + ]], + float4 AlbedoColor = float4(1.0,1.0,1.0,1.0) + [[ + anno::display_name("Albedo Color"), + anno::ui_order(32), + anno::in_group("Coloring") + ]], + uniform texture_2d BaseColor = texture_2d("./Textures/T_Default_BC.png",::tex::gamma_srgb) + [[ + anno::display_name("Base Color"), + anno::ui_order(32), + anno::in_group("Textures"), + sampler_color() + ]], + uniform texture_2d RMAM = texture_2d("./Textures/T_Default_RMA.png",::tex::gamma_linear) + [[ + anno::display_name("RMAM"), + anno::ui_order(32), + anno::in_group("Textures"), + sampler_masks() + ]], + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + float2 Local0 = (CustomizedUV0_mdl * Tile); + float4 Local1 = ::unpack_normal_map(tex::lookup_float4(Normal,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat)); + float Local2 = (1.0 - NormalIntensity); + float3 Local3 = math::lerp(float3(Local1.x,Local1.y,Local1.z),float3(0.0,0.0,1.0),Local2); + + float3 Normal_mdl = Local3; + + float4 Local4 = tex::lookup_float4(BaseColor,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 Local5 = (float3(AlbedoColor.x,AlbedoColor.y,AlbedoColor.z) * float3(Local4.x,Local4.y,Local4.z)); + float4 Local6 = tex::lookup_float4(RMAM,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float OpacityMask_mdl = 1.0; + float3 BaseColor_mdl = Local5; + float Metallic_mdl = Local6.y; + float Specular_mdl = 0.5; + float Roughness_mdl = Local6.x; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_StandardShelf/Materials/OmniUe4Base.mdl b/Shelf/BP_StandardShelf/Materials/OmniUe4Base.mdl new file mode 100644 index 0000000000000000000000000000000000000000..a441fbaf28040302c7aaabfbcf14b24a85bdf643 --- /dev/null +++ b/Shelf/BP_StandardShelf/Materials/OmniUe4Base.mdl @@ -0,0 +1,224 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.0 - first version +//* 1.0.1 - merge unlit template +//* 1.0.2 - Fix EDF in the back side: the EDF contained in surface is only used for the front side and not for the back side +//* 1.0.3 - UE4 normal mapping: Geometry normal shouldn't be changed +//* 1.0.4 - using absolute import paths when importing standard modules + +mdl 1.3; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + +float emissive_multiplier() +[[ + anno::description("the multiplier to convert UE4 emissive to raw data"), + anno::noinline() +]] +{ + return 20.0f * 128.0f; +} + +float3 tangent_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in tangent space"), + anno::noinline() +]] +{ + return math::normalize( + tangent_u * normal.x - /* flip_tangent_v */ + tangent_v * normal.y + + state::normal() * (normal.z)); +} + +float3 world_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in world space"), + anno::noinline() +]] +{ + return tangent_space_normal( + math::normalize( + normal.x * float3(tangent_u.x, tangent_v.x, state::normal().x) - + normal.y * float3(tangent_u.y, tangent_v.y, state::normal().y) + + normal.z * float3(tangent_u.z, tangent_v.z, state::normal().z)), + tangent_u, + tangent_v + ); +} + +export material OmniUe4Base( + float3 base_color = float3(0.0, 0.0, 0.0), + float metallic = 0.0, + float roughness = 0.5, + float specular = 0.5, + float3 normal = float3(0.0,0.0,1.0), + float clearcoat_weight = 0.0, + float clearcoat_roughness = 0.0, + float3 clearcoat_normal = float3(0.0,0.0,1.0), + uniform bool enable_opacity = true, + float opacity = 1.0, + float3 emissive_color = float3(0.0, 0.0, 0.0), + float3 displacement = float3(0.0), + uniform bool is_tangent_space_normal = true, + uniform bool two_sided = false, + uniform bool is_unlit = false +) +[[ + anno::display_name("Omni UE4 Base"), + anno::description("Omni UE4 Base, supports UE4 default lit and clearcoat shading model"), + anno::version( 1, 0, 0), + anno::author("NVIDIA CORPORATION"), + anno::key_words(string[]("omni", "UE4", "omniverse", "lit", "clearcoat", "generic")) +]] + = let { + color final_base_color = math::saturate(base_color); + float final_metallic = math::saturate(metallic); + float final_roughness = math::saturate(roughness); + float final_specular = math::saturate(specular); + color final_emissive_color = math::max(emissive_color, 0.0f) * emissive_multiplier(); /*factor for converting ue4 emissive to raw value*/ + float final_clearcoat_weight = math::saturate(clearcoat_weight); + float final_clearcoat_roughness = math::saturate(clearcoat_roughness); + float3 final_normal = math::normalize(normal); + float3 final_clearcoat_normal = math::normalize(clearcoat_normal); + + // - compute final roughness by squaring the "roughness" parameter + float alpha = final_roughness * final_roughness; + // reduce the reflectivity at grazing angles to avoid "dark edges" for high roughness due to the layering + float grazing_refl = math::max((1.0 - final_roughness), 0.0); + + float3 the_normal = is_unlit ? state::normal() : + (is_tangent_space_normal ? + tangent_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + )); + + // for the dielectric component we layer the glossy component on top of the diffuse one, + // the glossy layer has no color tint + + bsdf dielectric_component = df::custom_curve_layer( + weight: final_specular, + normal_reflectivity: 0.08, + grazing_reflectivity: grazing_refl, + layer: df::microfacet_ggx_smith_bsdf(roughness_u: alpha), + base: df::diffuse_reflection_bsdf(tint: final_base_color), + normal: the_normal); + + // the metallic component doesn't have a diffuse component, it's only glossy + // base_color is applied to tint it + bsdf metallic_component = df::microfacet_ggx_smith_bsdf(tint: final_base_color, roughness_u: alpha); + + // final BSDF is a linear blend between dielectric and metallic component + bsdf dielectric_metal_mix = + df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: metallic_component, + weight: final_metallic), + df::bsdf_component( + component: dielectric_component, + weight: 1.0-final_metallic) + ) + ); + + // clearcoat layer + float clearcoat_grazing_refl = math::max((1.0 - final_clearcoat_roughness), 0.0); + float clearcoat_alpha = final_clearcoat_roughness * final_clearcoat_roughness; + + float3 the_clearcoat_normal = is_tangent_space_normal ? tangent_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ); + + + bsdf clearcoat = + df::custom_curve_layer( + base: df::weighted_layer( + layer: dielectric_metal_mix, + weight: 1.0, + normal: final_clearcoat_weight == 0.0 ? state::normal() : the_normal + ), + layer: df::microfacet_ggx_smith_bsdf( + roughness_u: clearcoat_alpha, + tint: color(1.0) + ), + normal_reflectivity: 0.04, + grazing_reflectivity: clearcoat_grazing_refl, + normal: the_clearcoat_normal, + weight: final_clearcoat_weight + ); + bsdf surface = is_unlit ? bsdf() : clearcoat; +} +in material( + thin_walled: two_sided, // Graphene? + surface: material_surface( + scattering: surface, + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + backface: material_surface( + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + geometry: material_geometry( + displacement: displacement, + normal: final_clearcoat_weight == 0.0 ? the_normal : state::normal(), + cutout_opacity: enable_opacity ? opacity : 1.0 + ) +); diff --git a/Shelf/BP_StandardShelf/Materials/OmniUe4Function.mdl b/Shelf/BP_StandardShelf/Materials/OmniUe4Function.mdl new file mode 100644 index 0000000000000000000000000000000000000000..84f4f0da48ff31d03ee611373fe3a4d2e04c9079 --- /dev/null +++ b/Shelf/BP_StandardShelf/Materials/OmniUe4Function.mdl @@ -0,0 +1,1413 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.1 - using absolute import paths when importing standard modules + +mdl 1.6; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + + +export float3 convert_to_left_hand(float3 vec3, uniform bool up_z = true, uniform bool is_position = true) +[[ + anno::description("convert from RH to LH"), + anno::noinline() +]] +{ + float4x4 ZupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, -1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4x4 YupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4 vec4 = float4(vec3.x, vec3.y, vec3.z, is_position ? 1.0f : 0.0f); + + vec4 = vec4 * (up_z ? ZupConversion : YupConversion); + + return float3(vec4.x, vec4.y, vec4.z); +} + +export float3 transform_vector_from_tangent_to_world(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from tangent space to world space"), + anno::noinline() +]] +{ + /* flip_tangent_v */ + return convert_to_left_hand( + tangent_u * vector.x - tangent_v * vector.y + state::normal() * vector.z, + up_z, false); +} + +export float3 transform_vector_from_world_to_tangent(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from world space to tangent space"), + anno::noinline() +]] +{ + float3 vecRH = convert_to_left_hand(vector, up_z, false); + /* flip_tangent_v */ + return vecRH.x * float3(tangent_u.x, -tangent_v.x, state::normal().x) + + vecRH.y * float3(tangent_u.y, -tangent_v.y, state::normal().y) + + vecRH.z * float3(tangent_u.z, -tangent_v.z, state::normal().z); +} + +export float4 unpack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Unpack a normal stored in a normal map"), + anno::noinline() +]] +{ + float2 normal_xy = float2(texture_sample.x, texture_sample.y); + + normal_xy = normal_xy * float2(2.0,2.0) - float2(1.0,1.0); + float normal_z = math::sqrt( math::saturate( 1.0 - math::dot( normal_xy, normal_xy ) ) ); + return float4( normal_xy.x, normal_xy.y, normal_z, 1.0 ); +} + +// for get color value from normal. +export float4 pack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Pack to color from a normal") +]] +{ + float2 return_xy = float2(texture_sample.x, texture_sample.y); + + return_xy = (return_xy + float2(1.0,1.0)) / float2(2.0,2.0); + + return float4( return_xy.x, return_xy.y, 0.0, 1.0 ); +} + +export float4 greyscale_texture_lookup( + float4 texture_sample = float4(0.0, 0.0, 0.0, 1.0) + ) +[[ + anno::description("Sampling a greyscale texture"), + anno::noinline() +]] +{ + return float4(texture_sample.x, texture_sample.x, texture_sample.x, texture_sample.x); +} + +export float3 pixel_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Pixel normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 vertex_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Vertex normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 landscape_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Landscape normal in world space") +]] +{ + float3 normalFromNormalmap = math::floor((::vertex_normal_world_space(up_z) * 0.5 + 0.5) * 255.0) / 255.0 * 2.0 - 1.0; + + float2 normalXY = float2(normalFromNormalmap.x, normalFromNormalmap.y); + return float3(normalXY.x, normalXY.y, math::sqrt(math::saturate(1.0 - math::dot(normalXY, normalXY)))); +} + +// Different implementation specific between mdl and hlsl for smoothstep +export float smoothstep(float a, float b, float l) +{ + if (a < b) + { + return math::smoothstep(a, b, l); + } + else if (a > b) + { + return 1.0 - math::smoothstep(b, a, l); + } + else + { + return l <= a ? 0.0 : 1.0; + } +} + +export float2 smoothstep(float2 a, float2 b, float2 l) +{ + return float2(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y)); +} + +export float3 smoothstep(float3 a, float3 b, float3 l) +{ + return float3(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z)); +} + +export float4 smoothstep(float4 a, float4 b, float4 l) +{ + return float4(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z), smoothstep(a.w, b.w, l.w)); +} + +export float2 smoothstep(float2 a, float2 b, float l) +{ + return float2(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l)); +} + +export float3 smoothstep(float3 a, float3 b, float l) +{ + return float3(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l)); +} + +export float4 smoothstep(float4 a, float4 b, float l) +{ + return float4(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l), smoothstep(a.w, b.w, l)); +} + +export float2 smoothstep(float a, float b, float2 l) +{ + return float2(smoothstep(a, b, l.x), smoothstep(a, b, l.y)); +} + +export float3 smoothstep(float a, float b, float3 l) +{ + return float3(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z)); +} + +export float4 smoothstep(float a, float b, float4 l) +{ + return float4(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z), smoothstep(a, b, l.w)); +} + +//------------------ Random from UE4 ----------------------- +float length2(float3 v) +{ + return math::dot(v, v); +} + +float3 GetPerlinNoiseGradientTextureAt(uniform texture_2d PerlinNoiseGradientTexture, float3 v) +{ + const float2 ZShear = float2(17.0f, 89.0f); + + float2 OffsetA = v.z * ZShear; + float2 TexA = (float2(v.x, v.y) + OffsetA + 0.5f) / 128.0f; + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA.x,1.0-TexA.y),tex::wrap_repeat,tex::wrap_repeat); + return float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z) * 2.0 - 1.0; +} + +float3 SkewSimplex(float3 In) +{ + return In + math::dot(In, float3(1.0 / 3.0f) ); +} +float3 UnSkewSimplex(float3 In) +{ + return In - math::dot(In, float3(1.0 / 6.0f) ); +} + +// 3D random number generator inspired by PCGs (permuted congruential generator) +// Using a **simple** Feistel cipher in place of the usual xor shift permutation step +// @param v = 3D integer coordinate +// @return three elements w/ 16 random bits each (0-0xffff). +// ~8 ALU operations for result.x (7 mad, 1 >>) +// ~10 ALU operations for result.xy (8 mad, 2 >>) +// ~12 ALU operations for result.xyz (9 mad, 3 >>) + +//TODO: uint3 +int3 Rand3DPCG16(int3 p) +{ + // taking a signed int then reinterpreting as unsigned gives good behavior for negatives + //TODO: uint3 + int3 v = int3(p); + + // Linear congruential step. These LCG constants are from Numerical Recipies + // For additional #'s, PCG would do multiple LCG steps and scramble each on output + // So v here is the RNG state + v = v * 1664525 + 1013904223; + + // PCG uses xorshift for the final shuffle, but it is expensive (and cheap + // versions of xorshift have visible artifacts). Instead, use simple MAD Feistel steps + // + // Feistel ciphers divide the state into separate parts (usually by bits) + // then apply a series of permutation steps one part at a time. The permutations + // use a reversible operation (usually ^) to part being updated with the result of + // a permutation function on the other parts and the key. + // + // In this case, I'm using v.x, v.y and v.z as the parts, using + instead of ^ for + // the combination function, and just multiplying the other two parts (no key) for + // the permutation function. + // + // That gives a simple mad per round. + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + + // only top 16 bits are well shuffled + return v >> 16; +} + +// Wraps noise for tiling texture creation +// @param v = unwrapped texture parameter +// @param bTiling = true to tile, false to not tile +// @param RepeatSize = number of units before repeating +// @return either original or wrapped coord +float3 NoiseTileWrap(float3 v, bool bTiling, float RepeatSize) +{ + return bTiling ? (math::frac(v / RepeatSize) * RepeatSize) : v; +} + +// Evaluate polynomial to get smooth transitions for Perlin noise +// only needed by Perlin functions in this file +// scalar(per component): 2 add, 5 mul +float4 PerlinRamp(float4 t) +{ + return t * t * t * (t * (t * 6 - 15) + 10); +} + +// Blum-Blum-Shub-inspired pseudo random number generator +// http://www.umbc.edu/~olano/papers/mNoise.pdf +// real BBS uses ((s*s) mod M) with bignums and M as the product of two huge Blum primes +// instead, we use a single prime M just small enough not to overflow +// note that the above paper used 61, which fits in a half, but is unusably bad +// @param Integer valued floating point seed +// @return random number in range [0,1) +// ~8 ALU operations (5 *, 3 frac) +float RandBBSfloat(float seed) +{ + float BBS_PRIME24 = 4093.0; + float s = math::frac(seed / BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + return s; +} + +// Modified noise gradient term +// @param seed - random seed for integer lattice position +// @param offset - [-1,1] offset of evaluation point from lattice point +// @return gradient direction (xyz) and contribution (w) from this lattice point +float4 MGradient(int seed, float3 offset) +{ + //TODO uint + int rand = Rand3DPCG16(int3(seed,0,0)).x; + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1.0 / 0x4000, 1.0 / 0x2000, 1.0 / 0x1000); + float3 direction = float3(int3(rand, rand, rand) & MGradientMask) * MGradientScale - 1; + return float4(direction.x, direction.y, direction.z, math::dot(direction, offset)); +} + +// compute Perlin and related noise corner seed values +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = true to return seed values for a repeating noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @param seed000-seed111 = hash function seeds for the eight corners +// @return fractional part of v +struct SeedValue +{ + float3 fv = float3(0); + float seed000 = 0; + float seed001 = 0; + float seed010 = 0; + float seed011 = 0; + float seed100 = 0; + float seed101 = 0; + float seed110 = 0; + float seed111 = 0; +}; + +SeedValue NoiseSeeds(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds; + seeds.fv = math::frac(v); + float3 iv = math::floor(v); + + const float3 primes = float3(19, 47, 101); + + if (bTiling) + { // can't algebraically combine with primes + seeds.seed000 = math::dot(primes, NoiseTileWrap(iv, true, RepeatSize)); + seeds.seed100 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 0), true, RepeatSize)); + seeds.seed010 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 0), true, RepeatSize)); + seeds.seed110 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 0), true, RepeatSize)); + seeds.seed001 = math::dot(primes, NoiseTileWrap(iv + float3(0, 0, 1), true, RepeatSize)); + seeds.seed101 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 1), true, RepeatSize)); + seeds.seed011 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 1), true, RepeatSize)); + seeds.seed111 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 1), true, RepeatSize)); + } + else + { // get to combine offsets with multiplication by primes in this case + seeds.seed000 = math::dot(iv, primes); + seeds.seed100 = seeds.seed000 + primes.x; + seeds.seed010 = seeds.seed000 + primes.y; + seeds.seed110 = seeds.seed100 + primes.y; + seeds.seed001 = seeds.seed000 + primes.z; + seeds.seed101 = seeds.seed100 + primes.z; + seeds.seed011 = seeds.seed010 + primes.z; + seeds.seed111 = seeds.seed110 + primes.z; + } + + return seeds; +} + +struct SimplexWeights +{ + float4 Result = float4(0); + float3 PosA = float3(0); + float3 PosB = float3(0); + float3 PosC = float3(0); + float3 PosD = float3(0); +}; + +// Computed weights and sample positions for simplex interpolation +// @return float4(a,b,c, d) Barycentric coordinate defined as Filtered = Tex(PosA) * a + Tex(PosB) * b + Tex(PosC) * c + Tex(PosD) * d +SimplexWeights ComputeSimplexWeights3D(float3 OrthogonalPos) +{ + SimplexWeights weights; + float3 OrthogonalPosFloor = math::floor(OrthogonalPos); + + weights.PosA = OrthogonalPosFloor; + weights.PosB = weights.PosA + float3(1, 1, 1); + + OrthogonalPos -= OrthogonalPosFloor; + + float Largest = math::max(OrthogonalPos.x, math::max(OrthogonalPos.y, OrthogonalPos.z)); + float Smallest = math::min(OrthogonalPos.x, math::min(OrthogonalPos.y, OrthogonalPos.z)); + + weights.PosC = weights.PosA + float3(Largest == OrthogonalPos.x, Largest == OrthogonalPos.y, Largest == OrthogonalPos.z); + weights.PosD = weights.PosA + float3(Smallest != OrthogonalPos.x, Smallest != OrthogonalPos.y, Smallest != OrthogonalPos.z); + + float RG = OrthogonalPos.x - OrthogonalPos.y; + float RB = OrthogonalPos.x - OrthogonalPos.z; + float GB = OrthogonalPos.y - OrthogonalPos.z; + + weights.Result.z = + math::min(math::max(0, RG), math::max(0, RB)) // X + + math::min(math::max(0, -RG), math::max(0, GB)) // Y + + math::min(math::max(0, -RB), math::max(0, -GB)); // Z + + weights.Result.w = + math::min(math::max(0, -RG), math::max(0, -RB)) // X + + math::min(math::max(0, RG), math::max(0, -GB)) // Y + + math::min(math::max(0, RB), math::max(0, GB)); // Z + + weights.Result.y = Smallest; + weights.Result.x = 1.0f - weights.Result.y - weights.Result.z - weights.Result.w; + + return weights; +} + +// filtered 3D gradient simple noise (few texture lookups, high quality) +// @param v >0 +// @return random number in the range -1 .. 1 +float SimplexNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 EvalPos) +{ + float3 OrthogonalPos = SkewSimplex(EvalPos); + + SimplexWeights Weights = ComputeSimplexWeights3D(OrthogonalPos); + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 32 bit) + float3 A = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosA); + float3 B = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosB); + float3 C = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosC); + float3 D = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosD); + + Weights.PosA = UnSkewSimplex(Weights.PosA); + Weights.PosB = UnSkewSimplex(Weights.PosB); + Weights.PosC = UnSkewSimplex(Weights.PosC); + Weights.PosD = UnSkewSimplex(Weights.PosD); + + float DistanceWeight; + + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosA)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float a = math::dot(A, EvalPos - Weights.PosA) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosB)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float b = math::dot(B, EvalPos - Weights.PosB) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosC)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float c = math::dot(C, EvalPos - Weights.PosC) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosD)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float d = math::dot(D, EvalPos - Weights.PosD) * DistanceWeight; + + return 32 * (a + b + c + d); +} + +// filtered 3D noise, can be optimized +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 v, bool bTiling, float RepeatSize) +{ + bTiling = true; + float3 fv = math::frac(v); + float3 iv0 = NoiseTileWrap(math::floor(v), bTiling, RepeatSize); + float3 iv1 = NoiseTileWrap(iv0 + 1, bTiling, RepeatSize); + + const int2 ZShear = int2(17, 89); + + float2 OffsetA = iv0.z * ZShear; + float2 OffsetB = OffsetA + ZShear; // non-tiling, use relative offset + if (bTiling) // tiling, have to compute from wrapped coordinates + { + OffsetB = iv1.z * ZShear; + } + + // Texture size scale factor + float ts = 1 / 128.0f; + + // texture coordinates for iv0.xy, as offset for both z slices + float2 TexA0 = (float2(iv0.x, iv0.y) + OffsetA + 0.5f) * ts; + float2 TexB0 = (float2(iv0.x, iv0.y) + OffsetB + 0.5f) * ts; + + // texture coordinates for iv1.xy, as offset for both z slices + float2 TexA1 = TexA0 + ts; // for non-tiling, can compute relative to existing coordinates + float2 TexB1 = TexB0 + ts; + if (bTiling) // for tiling, need to compute from wrapped coordinates + { + TexA1 = (float2(iv1.x, iv1.y) + OffsetA + 0.5f) * ts; + TexB1 = (float2(iv1.x, iv1.y) + OffsetB + 0.5f) * ts; + } + + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 8, 16 or 32 bit) + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 A = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 B = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 C = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 D = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 E = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 F = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 G = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 H = PerlinNoiseColor * 2 - 1; + + float a = math::dot(A, fv - float3(0, 0, 0)); + float b = math::dot(B, fv - float3(1, 0, 0)); + float c = math::dot(C, fv - float3(0, 1, 0)); + float d = math::dot(D, fv - float3(1, 1, 0)); + float e = math::dot(E, fv - float3(0, 0, 1)); + float f = math::dot(F, fv - float3(1, 0, 1)); + float g = math::dot(G, fv - float3(0, 1, 1)); + float h = math::dot(H, fv - float3(1, 1, 1)); + + float4 Weights = PerlinRamp(math::frac(float4(fv.x, fv.y, fv.z, 0))); + + float i = math::lerp(math::lerp(a, b, Weights.x), math::lerp(c, d, Weights.x), Weights.y); + float j = math::lerp(math::lerp(e, f, Weights.x), math::lerp(g, h, Weights.x), Weights.y); + + return math::lerp(i, j, Weights.z); +} + +// @return random number in the range -1 .. 1 +// scalar: 6 frac, 31 mul/mad, 15 add, +float FastGradientPerlinNoise3D_TEX(uniform texture_3d PerlinNoise3DTexture, float3 xyz) +{ + // needs to be the same value when creating the PerlinNoise3D texture + float Extent = 16; + + // last texel replicated and needed for filtering + // scalar: 3 frac, 6 mul + xyz = math::frac(xyz / (Extent - 1)) * (Extent - 1); + + // scalar: 3 frac + float3 uvw = math::frac(xyz); + // = floor(xyz); + // scalar: 3 add + float3 p0 = xyz - uvw; +// float3 f = math::pow(uvw, 2) * 3.0f - math::pow(uvw, 3) * 2.0f; // original perlin hermite (ok when used without bump mapping) + // scalar: 2*3 add 5*3 mul + float4 pr = PerlinRamp(float4(uvw.x, uvw.y, uvw.z, 0)); + float3 f = float3(pr.x, pr.y, pr.z); // new, better with continues second derivative for bump mapping + // scalar: 3 add + float3 p = p0 + f; + // scalar: 3 mad + // TODO: need reverse??? + float4 NoiseSample = tex::lookup_float4(PerlinNoise3DTexture, p / Extent + 0.5f / Extent); // +0.5f to get rid of bilinear offset + + // reconstruct from 8bit (using mad with 2 constants and dot4 was same instruction count) + // scalar: 4 mad, 3 mul, 3 add + float3 n = float3(NoiseSample.x, NoiseSample.y, NoiseSample.z) * 255.0f / 127.0f - 1.0f; + float d = NoiseSample.w * 255.f - 127; + return math::dot(xyz, n) - d; +} + +// Perlin-style "Modified Noise" +// http://www.umbc.edu/~olano/papers/index.html#mNoise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = MGradient(int(seeds.seed000), seeds.fv - float3(0, 0, 0)).w; + float rand100 = MGradient(int(seeds.seed100), seeds.fv - float3(1, 0, 0)).w; + float rand010 = MGradient(int(seeds.seed010), seeds.fv - float3(0, 1, 0)).w; + float rand110 = MGradient(int(seeds.seed110), seeds.fv - float3(1, 1, 0)).w; + float rand001 = MGradient(int(seeds.seed001), seeds.fv - float3(0, 0, 1)).w; + float rand101 = MGradient(int(seeds.seed101), seeds.fv - float3(1, 0, 1)).w; + float rand011 = MGradient(int(seeds.seed011), seeds.fv - float3(0, 1, 1)).w; + float rand111 = MGradient(int(seeds.seed111), seeds.fv - float3(1, 1, 1)).w; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D value noise - used to be incorrectly called Perlin noise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float ValueNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = RandBBSfloat(seeds.seed000) * 2 - 1; + float rand100 = RandBBSfloat(seeds.seed100) * 2 - 1; + float rand010 = RandBBSfloat(seeds.seed010) * 2 - 1; + float rand110 = RandBBSfloat(seeds.seed110) * 2 - 1; + float rand001 = RandBBSfloat(seeds.seed001) * 2 - 1; + float rand101 = RandBBSfloat(seeds.seed101) * 2 - 1; + float rand011 = RandBBSfloat(seeds.seed011) * 2 - 1; + float rand111 = RandBBSfloat(seeds.seed111) * 2 - 1; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D jitter offset within a voronoi noise cell +// @param pos - integer lattice corner +// @return random offsets vector +float3 VoronoiCornerSample(float3 pos, int Quality) +{ + // random values in [-0.5, 0.5] + float3 noise = float3(Rand3DPCG16(int3(pos))) / 0xffff - 0.5; + + // quality level 1 or 2: searches a 2x2x2 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 2x2x2 search + if (Quality <= 2) + { + return math::normalize(noise) * 0.2588; + } + + // quality level 3: searches a 3x3x3 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 3x3x3 search + if (Quality == 3) + { + return math::normalize(noise) * 0.3090; + } + + // quality level 4: jitter to anywhere in the cell, needs 4x4x4 search + return noise; +} + +// compare previous best with a new candidate +// not producing point locations makes it easier for compiler to eliminate calculations when they're not needed +// @param minval = location and distance of best candidate seed point before the new one +// @param candidate = candidate seed point +// @param offset = 3D offset to new candidate seed point +// @param bDistanceOnly = if true, only set maxval.w with distance, otherwise maxval.w is distance and maxval.xyz is position +// @return position (if bDistanceOnly is false) and distance to closest seed point so far +float4 VoronoiCompare(float4 minval, float3 candidate, float3 offset, bool bDistanceOnly) +{ + if (bDistanceOnly) + { + return float4(0, 0, 0, math::min(minval.w, math::dot(offset, offset))); + } + else + { + float newdist = math::dot(offset, offset); + return newdist > minval.w ? minval : float4(candidate.x, candidate.y, candidate.z, newdist); + } +} + +// 220 instruction Worley noise +float4 VoronoiNoise3D_ALU(float3 v, int Quality, bool bTiling, float RepeatSize, bool bDistanceOnly) +{ + float3 fv = math::frac(v), fv2 = math::frac(v + 0.5); + float3 iv = math::floor(v), iv2 = math::floor(v + 0.5); + + // with initial minimum distance = infinity (or at least bigger than 4), first min is optimized away + float4 mindist = float4(0,0,0,100); + float3 p, offset; + + // quality level 3: do a 3x3x3 search + if (Quality == 3) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 1; ++offset_x) + { + for (offset_y = -1; offset_y <= 1; ++offset_y) + { + for (offset_z = -1; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + + // everybody else searches a base 2x2x2 neighborhood + else + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = 0; offset_x <= 1; ++offset_x) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // quality level 2, do extra set of points, offset by half a cell + if (Quality == 2) + { + // 467 is just an offset to a different area in the random number field to avoid similar neighbor artifacts + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize) + 467, Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + } + + // quality level 4: add extra sets of four cells in each direction + if (Quality >= 4) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 2; offset_x += 3) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + // along x axis + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along y axis + p = float3(offset.y, offset.z, offset.x) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.y, offset.z, offset.x), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along z axis + p = float3(offset.z, offset.x, offset.y) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.z, offset.x, offset.y), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + } + } + } + } + + // transform squared distance to real distance + return float4(mindist.x, mindist.y, mindist.z, math::sqrt(mindist.w)); +} + +// Coordinates for corners of a Simplex tetrahedron +// Based on McEwan et al., Efficient computation of noise in GLSL, JGT 2011 +// @param v = 3D noise argument +// @return 4 corner locations +float4x3 SimplexCorners(float3 v) +{ + // find base corner by skewing to tetrahedral space and back + float3 tet = math::floor(v + v.x/3 + v.y/3 + v.z/3); + float3 base = tet - tet.x/6 - tet.y/6 - tet.z/6; + float3 f = v - base; + + // Find offsets to other corners (McEwan did this in tetrahedral space, + // but since skew is along x=y=z axis, this works in Euclidean space too.) + float3 g = math::step(float3(f.y,f.z,f.x), float3(f.x,f.y,f.z)), h = 1 - float3(g.z, g.x, g.y); + float3 a1 = math::min(g, h) - 1.0 / 6.0, a2 = math::max(g, h) - 1.0 / 3.0; + + // four corners + return float4x3(base, base + a1, base + a2, base + 0.5); +} + +// Improved smoothing function for simplex noise +// @param f = fractional distance to four tetrahedral corners +// @return weight for each corner +float4 SimplexSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + return (1 * scale + s*(-3 * scale + s*(3 * scale - s*scale))); +} + +// Derivative of simplex noise smoothing function +// @param f = fractional distanc eto four tetrahedral corners +// @return derivative of smoothing function for each corner by x, y and z +float3x4 SimplexDSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + s = -12 * scale + s*(24 * scale - s * 12 * scale); + + return float3x4( + s * float4(f[0][0], f[1][0], f[2][0], f[3][0]), + s * float4(f[0][1], f[1][1], f[2][1], f[3][1]), + s * float4(f[0][2], f[1][2], f[2][2], f[3][2])); +} + +// Simplex noise and its Jacobian derivative +// @param v = 3D noise argument +// @param bTiling = whether to repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension, must be a multiple of 3 +// @return float3x3 Jacobian in J[*].xyz, vector noise in J[*].w +// J[0].w, J[1].w, J[2].w is a Perlin-style simplex noise with vector output, e.g. (Nx, Ny, Nz) +// J[i].x is X derivative of the i'th component of the noise so J[2].x is dNz/dx +// You can use this to compute the noise, gradient, curl, or divergence: +// float3x4 J = JacobianSimplex_ALU(...); +// float3 VNoise = float3(J[0].w, J[1].w, J[2].w); // 3D noise +// float3 Grad = J[0].xyz; // gradient of J[0].w +// float3 Curl = float3(J[1][2]-J[2][1], J[2][0]-J[0][2], J[0][1]-J[1][2]); +// float Div = J[0][0]+J[1][1]+J[2][2]; +// All of these are confirmed to compile out all unneeded terms. +// So Grad of X doesn't compute Y or Z components, and VNoise doesn't do any of the derivative computation. +float3x4 JacobianSimplex_ALU(float3 v, bool bTiling, float RepeatSize) +{ + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1. / 0x4000, 1. / 0x2000, 1. / 0x1000); + + // corners of tetrahedron + float4x3 T = SimplexCorners(v); + // TODO: uint3 + int3 rand = int3(0); + float4x3 gvec0 = float4x3(1.0); + float4x3 gvec1 = float4x3(1.0); + float4x3 gvec2 = float4x3(1.0); + float4x3 fv = float4x3(1.0); + float3x4 grad = float3x4(1.0); + + // processing of tetrahedral vertices, unrolled + // to compute gradient at each corner + fv[0] = v - T[0]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[0] + 0.5, bTiling, RepeatSize)))); + gvec0[0] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[0] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[0] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][0] = math::dot(gvec0[0], fv[0]); + grad[1][0] = math::dot(gvec1[0], fv[0]); + grad[2][0] = math::dot(gvec2[0], fv[0]); + + fv[1] = v - T[1]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[1] + 0.5, bTiling, RepeatSize)))); + gvec0[1] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][1] = math::dot(gvec0[1], fv[1]); + grad[1][1] = math::dot(gvec1[1], fv[1]); + grad[2][1] = math::dot(gvec2[1], fv[1]); + + fv[2] = v - T[2]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[2] + 0.5, bTiling, RepeatSize)))); + gvec0[2] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[2] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[2] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][2] = math::dot(gvec0[2], fv[2]); + grad[1][2] = math::dot(gvec1[2], fv[2]); + grad[2][2] = math::dot(gvec2[2], fv[2]); + + fv[3] = v - T[3]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[3] + 0.5, bTiling, RepeatSize)))); + gvec0[3] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[3] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[3] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][3] = math::dot(gvec0[3], fv[3]); + grad[1][3] = math::dot(gvec1[3], fv[3]); + grad[2][3] = math::dot(gvec2[3], fv[3]); + + // blend gradients + float4 sv = SimplexSmooth(fv); + float3x4 ds = SimplexDSmooth(fv); + + float3x4 jacobian = float3x4(1.0); + float3 vec0 = gvec0*sv + grad[0]*ds; // NOTE: mdl is column major, convert from UE4 (row major) + jacobian[0] = float4(vec0.x, vec0.y, vec0.z, math::dot(sv, grad[0])); + float3 vec1 = gvec1*sv + grad[1]*ds; + jacobian[1] = float4(vec1.x, vec1.y, vec1.z, math::dot(sv, grad[1])); + float3 vec2 = gvec2*sv + grad[2]*ds; + jacobian[2] = float4(vec2.x, vec2.y, vec2.z, math::dot(sv, grad[2])); + + return jacobian; +} + +// While RepeatSize is a float here, the expectation is that it would be largely integer values coming in from the UI. The downstream logic assumes +// floats for all called functions (NoiseTileWrap) and this prevents any float-to-int conversion errors from automatic type conversion. +float Noise3D_Multiplexer(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, int Function, float3 Position, int Quality, bool bTiling, float RepeatSize) +{ + // verified, HLSL compiled out the switch if Function is a constant + switch(Function) + { + case 0: + return SimplexNoise3D_TEX(PerlinNoiseGradientTexture, Position); + case 1: + return GradientNoise3D_TEX(PerlinNoiseGradientTexture, Position, bTiling, RepeatSize); + case 2: + return FastGradientPerlinNoise3D_TEX(PerlinNoise3DTexture, Position); + case 3: + return GradientNoise3D_ALU(Position, bTiling, RepeatSize); + case 4: + return ValueNoise3D_ALU(Position, bTiling, RepeatSize); + case 5: + return VoronoiNoise3D_ALU(Position, Quality, bTiling, RepeatSize, true).w * 2.0 - 1.0; + } + return 0; +} +//---------------------------------------------------------- + +export float noise(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, float3 Position, float Scale, float Quality, float Function, float Turbulence, float Levels, float OutputMin, float OutputMax, float LevelScale, float FilterWidth, float Tiling, float RepeatSize) +[[ + anno::description("Noise"), + anno::noinline() +]] +{ + Position *= Scale; + FilterWidth *= Scale; + + float Out = 0.0f; + float OutScale = 1.0f; + float InvLevelScale = 1.0f / LevelScale; + + int iFunction(Function); + int iQuality(Quality); + int iLevels(Levels); + bool bTurbulence(Turbulence); + bool bTiling(Tiling); + + for(int i = 0; i < iLevels; ++i) + { + // fade out noise level that are too high frequent (not done through dynamic branching as it usually requires gradient instructions) + OutScale *= math::saturate(1.0 - FilterWidth); + + if(bTurbulence) + { + Out += math::abs(Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize)) * OutScale; + } + else + { + Out += Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize) * OutScale; + } + + Position *= LevelScale; + RepeatSize *= LevelScale; + OutScale *= InvLevelScale; + FilterWidth *= LevelScale; + } + + if(!bTurbulence) + { + // bring -1..1 to 0..1 range + Out = Out * 0.5f + 0.5f; + } + + // Out is in 0..1 range + return math::lerp(OutputMin, OutputMax, Out); +} + +// Material node for noise functions returning a vector value +// @param LevelScale usually 2 but higher values allow efficient use of few levels +// @return in user defined range (OutputMin..OutputMax) +export float4 vector4_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise"), + anno::noinline() +]] +{ + float4 result = float4(0,0,0,1); + float3 ret = float3(0); + int iQuality = int(Quality); + int iFunction = int(Function); + bool bTiling = Tiling > 0.0; + + float3x4 Jacobian = JacobianSimplex_ALU(Position, bTiling, TileSize); // compiled out if not used + + // verified, HLSL compiled out the switch if Function is a constant + switch (iFunction) + { + case 0: // Cellnoise + ret = float3(Rand3DPCG16(int3(math::floor(NoiseTileWrap(Position, bTiling, TileSize))))) / 0xffff; + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 1: // Color noise + ret = float3(Jacobian[0].w, Jacobian[1].w, Jacobian[2].w); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 2: // Gradient + result = Jacobian[0]; + break; + case 3: // Curl + ret = float3(Jacobian[2][1] - Jacobian[1][2], Jacobian[0][2] - Jacobian[2][0], Jacobian[1][0] - Jacobian[0][1]); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 4: // Voronoi + result = VoronoiNoise3D_ALU(Position, iQuality, bTiling, TileSize, false); + break; + } + return result; +} + +export float3 vector3_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise float3 version"), + anno::noinline() +]] +{ + float4 noise = vector4_noise(Position, Quality, Function, Tiling, TileSize); + return float3(noise.x, noise.y, noise.z); +} + + +// workaround for ue4 fresnel (without supporting for camera vector) : replacing it with 0.0, means facing to the view +export float fresnel(float exponent [[anno::unused()]], float base_reflect_fraction [[anno::unused()]], float3 normal [[anno::unused()]]) +[[ + anno::description("Fresnel"), + anno::noinline() +]] +{ + return 0.0; +} + +export float fresnel_function(float3 normal_vector [[anno::unused()]], float3 camera_vector [[anno::unused()]], + bool invert_fresnel [[anno::unused()]], float power [[anno::unused()]], + bool use_cheap_contrast [[anno::unused()]], float cheap_contrast_dark [[anno::unused()]], float cheap_contrast_bright [[anno::unused()]], + bool clamp_fresnel_dot_product [[anno::unused()]]) +[[ + anno::description("Fresnel Function"), + anno::noinline() +]] +{ + return 0.0; +} + +export float3 camera_vector(uniform bool up_z = true) +[[ + anno::description("Camera Vector"), + anno::noinline() +]] +{ + // assume camera postion is 0,0,0 + return math::normalize(float3(0) - convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)); +} + +export float pixel_depth() +[[ + anno::description("Pixel Depth"), + anno::noinline() +]] +{ + return 256.0f; +} + +export float scene_depth() +[[ + anno::description("Scene Depth") +]] +{ + return 65500.0f; +} + +export float3 scene_color() +[[ + anno::description("Scene Color") +]] +{ + return float3(1.0f); +} + +export float4 vertex_color() +[[ + anno::description("Vertex Color"), + anno::noinline() +]] +{ + return float4(1.0f); +} + +export float4 vertex_color_from_coordinate(int VertexColorCoordinateIndex) +[[ + anno::description("Vertex Color for float2 PrimVar"), + anno::noinline() +]] +{ + // Kit only supports 4 uv sets, 2 uvs are available to vertex color. if vertex color index is invalid, output the constant WHITE color intead + return (VertexColorCoordinateIndex > 2) ? float4(1.0f) : float4(state::texture_coordinate(VertexColorCoordinateIndex).x, state::texture_coordinate(VertexColorCoordinateIndex).y, state::texture_coordinate(VertexColorCoordinateIndex+1).x, state::texture_coordinate(VertexColorCoordinateIndex+1).y); +} + +export float3 camera_position() +[[ + anno::description("Camera Position"), + anno::noinline() +]] +{ + return float3(1000.0f, 0, 0); +} + +export float3 rotate_about_axis(float4 NormalizedRotationAxisAndAngle, float3 PositionOnAxis, float3 Position) +[[ + anno::description("Rotates Position about the given axis by the given angle") +]] +{ + // Project Position onto the rotation axis and find the closest point on the axis to Position + float3 NormalizedRotationAxis = float3(NormalizedRotationAxisAndAngle.x,NormalizedRotationAxisAndAngle.y,NormalizedRotationAxisAndAngle.z); + float3 ClosestPointOnAxis = PositionOnAxis + NormalizedRotationAxis * math::dot(NormalizedRotationAxis, Position - PositionOnAxis); + // Construct orthogonal axes in the plane of the rotation + float3 UAxis = Position - ClosestPointOnAxis; + float3 VAxis = math::cross(NormalizedRotationAxis, UAxis); + float[2] SinCosAngle = math::sincos(NormalizedRotationAxisAndAngle.w); + // Rotate using the orthogonal axes + float3 R = UAxis * SinCosAngle[1] + VAxis * SinCosAngle[0]; + // Reconstruct the rotated world space position + float3 RotatedPosition = ClosestPointOnAxis + R; + // Convert from position to a position offset + return RotatedPosition - Position; +} + +export float2 rotate_scale_offset_texcoords(float2 InTexCoords, float4 InRotationScale, float2 InOffset) +[[ + anno::description("Returns a float2 texture coordinate after 2x2 transform and offset applied") +]] +{ + return float2(math::dot(InTexCoords, float2(InRotationScale.x, InRotationScale.y)), math::dot(InTexCoords, float2(InRotationScale.z, InRotationScale.w))) + InOffset; +} + +export float3 reflection_custom_world_normal(float3 WorldNormal, bool bNormalizeInputNormal, uniform bool up_z = true) +[[ + anno::description("Reflection vector about the specified world space normal") +]] +{ + if (bNormalizeInputNormal) + { + WorldNormal = math::normalize(WorldNormal); + } + + return -camera_vector(up_z) + WorldNormal * math::dot(WorldNormal, camera_vector(up_z)) * 2.0; +} + +export float3 reflection_vector(uniform bool up_z = true) +[[ + anno::description("Reflection Vector"), + anno::noinline() +]] +{ + float3 normal = convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); + return reflection_custom_world_normal(normal, false, up_z); +} + +export float dither_temporalAA(float AlphaThreshold = 0.5f, float Random = 1.0f [[anno::unused()]]) +[[ + anno::description("Dither TemporalAA"), + anno::noinline() +]] +{ + return AlphaThreshold; +} + +export float3 black_body( float Temp ) +[[ + anno::description("Black Body"), + anno::noinline() +]] +{ + float u = ( 0.860117757f + 1.54118254e-4f * Temp + 1.28641212e-7f * Temp*Temp ) / ( 1.0f + 8.42420235e-4f * Temp + 7.08145163e-7f * Temp*Temp ); + float v = ( 0.317398726f + 4.22806245e-5f * Temp + 4.20481691e-8f * Temp*Temp ) / ( 1.0f - 2.89741816e-5f * Temp + 1.61456053e-7f * Temp*Temp ); + + float x = 3*u / ( 2*u - 8*v + 4 ); + float y = 2*v / ( 2*u - 8*v + 4 ); + float z = 1 - x - y; + + float Y = 1; + float X = Y/y * x; + float Z = Y/y * z; + + float3x3 XYZtoRGB = float3x3( + float3(3.2404542, -1.5371385, -0.4985314), + float3(-0.9692660, 1.8760108, 0.0415560), + float3(0.0556434, -0.2040259, 1.0572252) + ); + + return XYZtoRGB * float3( X, Y, Z ) * math::pow( 0.0004 * Temp, 4 ); +} + +export float per_instance_random(uniform texture_2d PerlinNoiseGradientTexture, int NumberInstances) +[[ + anno::description("Per Instance Random"), + anno::noinline() +]] +{ + float weight = state::object_id() / float(NumberInstances); + return NumberInstances == 0 ? 0.0 : tex::lookup_float4(PerlinNoiseGradientTexture, float2(weight, 1.0 - weight), tex::wrap_repeat, tex::wrap_repeat).x; +} + +//------------------ Hair from UE4 ----------------------- +float3 hair_absorption_to_color(float3 A) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::exp(-math::sqrt(A) * D); +} + +float3 hair_color_to_absorption(float3 C) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::pow(math::log(C) / D, 2.0f); +} + +export float3 get_hair_color_from_melanin(float InMelanin, float InRedness, float3 InDyeColor) +[[ + anno::description("Hair Color") +]] +{ + InMelanin = math::saturate(InMelanin); + InRedness = math::saturate(InRedness); + float Melanin = -math::log(math::max(1 - InMelanin, 0.0001f)); + float Eumelanin = Melanin * (1 - InRedness); + float Pheomelanin = Melanin * InRedness; + + float3 DyeAbsorption = hair_color_to_absorption(math::saturate(InDyeColor)); + float3 Absorption = Eumelanin * float3(0.506f, 0.841f, 1.653f) + Pheomelanin * float3(0.343f, 0.733f, 1.924f); + + return hair_absorption_to_color(Absorption + DyeAbsorption); +} + +export float3 local_object_bounds_min() +[[ + anno::description("Local Object Bounds Min"), + anno::noinline() +]] +{ + return float3(0.0); +} + +export float3 local_object_bounds_max() +[[ + anno::description("Local Object Bounds Max"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float3 object_bounds() +[[ + anno::description("Object Bounds"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float object_radius() +[[ + anno::description("Object Radius"), + anno::noinline() +]] +{ + return 100.0f; +} + +export float3 object_world_position(uniform bool up_z = true) +[[ + anno::description("Object World Position"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)*state::meters_per_scene_unit()*100.0; +} + +export float3 object_orientation() +[[ + anno::description("Object Orientation"), + anno::noinline() +]] +{ + return float3(0); +} + +export float rcp(float x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float2 rcp(float2 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float3 rcp(float3 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float4 rcp(float4 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export int BitFieldExtractI32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractI32 int"), + anno::noinline() +]] +{ + Size &= 3; + Offset &= 3; + + if (Size == 0) + return 0; + else if (Offset + Size < 32) + return (Data << (32 - Size - Offset)) >> (32 - Size); + else + return Data >> Offset; +} + +export int BitFieldExtractI32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractI32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(int(Data), int(Size), int(Offset)); +} + +export int BitFieldExtractU32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractU32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export int BitFieldExtractU32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractU32 int"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export float3 EyeAdaptationInverseLookup(float3 LightValue, float Alpha) +[[ + anno::description("EyeAdaptationInverseLookup"), + anno::noinline() +]] +{ + float Adaptation = 1.0f; + + // When Alpha=0.0, we want to multiply by 1.0. when Alpha = 1.0, we want to multiply by 1/Adaptation. + // So the lerped value is: + // LerpLogScale = Lerp(log(1),log(1/Adaptaiton),T) + // Which is simplified as: + // LerpLogScale = Lerp(0,-log(Adaptation),T) + // LerpLogScale = -T * logAdaptation; + + float LerpLogScale = -Alpha * math::log(Adaptation); + float Scale = math::exp(LerpLogScale); + return LightValue * Scale; +} diff --git a/Shelf/BP_StandardShelf/Materials/Textures/T_Default_BC.png b/Shelf/BP_StandardShelf/Materials/Textures/T_Default_BC.png new file mode 100644 index 0000000000000000000000000000000000000000..3ffb615216a543684b72182bc2b93df642feb0ef --- /dev/null +++ b/Shelf/BP_StandardShelf/Materials/Textures/T_Default_BC.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:80d67d3146f380b837c67e1a79b6175853cdf1920fba89e3b8f360be56a1b6aa +size 306663 diff --git a/Shelf/BP_StandardShelf/Materials/Textures/T_Default_N.png b/Shelf/BP_StandardShelf/Materials/Textures/T_Default_N.png new file mode 100644 index 0000000000000000000000000000000000000000..f289b540abf7a01f18f45ff433210bb4c1617a52 --- /dev/null +++ b/Shelf/BP_StandardShelf/Materials/Textures/T_Default_N.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:88a5f868fcf0e1eb344fceb49059a9c7cd409f011cebc45ba1fe3ae6c919acb7 +size 12641622 diff --git a/Shelf/BP_StandardShelf/Materials/Textures/T_Default_RMA.png b/Shelf/BP_StandardShelf/Materials/Textures/T_Default_RMA.png new file mode 100644 index 0000000000000000000000000000000000000000..958d1b53366393657e1b8d143ef2947172e570b8 --- /dev/null +++ b/Shelf/BP_StandardShelf/Materials/Textures/T_Default_RMA.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:0af24e05d9bc54824c16a11de1d386ead87363dc5292f88121a2039631f0f28a +size 304450 diff --git a/Shelf/BP_StandardShelf/Materials/Textures/T_Shelving_BC.png b/Shelf/BP_StandardShelf/Materials/Textures/T_Shelving_BC.png new file mode 100644 index 0000000000000000000000000000000000000000..daad5e710a16e7c3a35c295d9eee455651594b5c --- /dev/null +++ b/Shelf/BP_StandardShelf/Materials/Textures/T_Shelving_BC.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:7a08ec9f01448ddf431c5ca827c70588ed2cd3740300a4da708dc40a67a0a0fd +size 10004220 diff --git a/Shelf/BP_StandardShelf/Materials/Textures/T_Shelving_N.png b/Shelf/BP_StandardShelf/Materials/Textures/T_Shelving_N.png new file mode 100644 index 0000000000000000000000000000000000000000..4cfd383a75b5342c3b9a2837659abf7670ec83a4 --- /dev/null +++ b/Shelf/BP_StandardShelf/Materials/Textures/T_Shelving_N.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:8d4b1fddf9a43d8cdfff825209e8d2066b2dcdd91dd5e919e0f1ddd7530b4037 +size 15416469 diff --git a/Shelf/BP_StandardShelf/Materials/Textures/T_Shelving_RMA.png b/Shelf/BP_StandardShelf/Materials/Textures/T_Shelving_RMA.png new file mode 100644 index 0000000000000000000000000000000000000000..3940d7a34c06e983c4c182273afad444ce420f0c --- /dev/null +++ b/Shelf/BP_StandardShelf/Materials/Textures/T_Shelving_RMA.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:594e767ddbcb164b574e527ca9ab06f8fc75a02567d8419f0ef63b027e42b637 +size 19503629 diff --git a/Shelf/BP_StandardShelf/Props/BackPlate.usd b/Shelf/BP_StandardShelf/Props/BackPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..4130f5c65f40f429ac6d259bc34612cc45a799df Binary files /dev/null and b/Shelf/BP_StandardShelf/Props/BackPlate.usd differ diff --git a/Shelf/BP_StandardShelf/Props/BasePlate.usd b/Shelf/BP_StandardShelf/Props/BasePlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..5ac2e2c722003f24a8d3ee47cc4e73916cc464b8 Binary files /dev/null and b/Shelf/BP_StandardShelf/Props/BasePlate.usd differ diff --git a/Shelf/BP_StandardShelf/Props/HorizontalPlate.usd b/Shelf/BP_StandardShelf/Props/HorizontalPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..b973c9835736d1210ae288c9635428936fe48a69 Binary files /dev/null and b/Shelf/BP_StandardShelf/Props/HorizontalPlate.usd differ diff --git a/Shelf/BP_StandardShelf/instance.usd b/Shelf/BP_StandardShelf/instance.usd new file mode 100644 index 0000000000000000000000000000000000000000..8e81229b5d206832ad80424604c9f83e28e9a3e8 Binary files /dev/null and b/Shelf/BP_StandardShelf/instance.usd differ diff --git a/Shelf/BP_StandardShelf13/Materials/MI_Shelf_02a.mdl b/Shelf/BP_StandardShelf13/Materials/MI_Shelf_02a.mdl new file mode 100644 index 0000000000000000000000000000000000000000..38a3da7c9c7ce3fb068305eb1675dfb43c52c0f4 --- /dev/null +++ b/Shelf/BP_StandardShelf13/Materials/MI_Shelf_02a.mdl @@ -0,0 +1,107 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material MI_Shelf_02a( + float TwoSidedSign = 1.0 + [[ + anno::hidden() + ]], + float TextureCoord = 1.0 + [[ + anno::display_name("Texture Coord"), + anno::ui_order(32), + anno::in_group("1.Textures") + ]], + uniform texture_2d Normal = texture_2d("./Textures/TX_Fill_01a_NRM.png",::tex::gamma_linear) + [[ + anno::display_name("Normal"), + anno::ui_order(32), + anno::in_group("1.Textures"), + sampler_normal() + ]], + float NormalIntensity = 1.0 + [[ + anno::display_name("Normal Intensity"), + anno::ui_order(32), + anno::in_group("Normal") + ]], + uniform texture_2d Albedo = texture_2d("./Textures/TX_Fill_01a_ALB.png",::tex::gamma_srgb) + [[ + anno::display_name("Albedo "), + anno::ui_order(32), + anno::in_group("1.Textures"), + sampler_color() + ]], + float4 AlbedoColorTint = float4(1.0,1.0,1.0,1.0) + [[ + anno::display_name("Albedo Color Tint"), + anno::ui_order(32), + anno::in_group("Albedo") + ]], + uniform texture_2d RMA = texture_2d("./Textures/TX_Fill_01a_RMA.png",::tex::gamma_linear) + [[ + anno::display_name("RMA"), + anno::description("R = Roughness | G = Metalness | B = Ambient Occlusion | A = Other "), + anno::ui_order(32), + anno::in_group("1.Textures"), + sampler_masks() + ]], + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + float2 Local0 = (CustomizedUV0_mdl * TextureCoord); + float4 Local1 = ::unpack_normal_map(tex::lookup_float4(Normal,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat)); + float3 Local2 = (TwoSidedSign * float3(Local1.x,Local1.y,Local1.z)); + float Local3 = (1.0 - NormalIntensity); + float3 Local4 = math::lerp(Local2,float3(0.0,0.0,1.0),Local3); + + float3 Normal_mdl = Local4; + + float4 Local5 = tex::lookup_float4(Albedo,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 Local6 = (float3(Local5.x,Local5.y,Local5.z) * float3(AlbedoColorTint.x,AlbedoColorTint.y,AlbedoColorTint.z)); + float4 Local7 = tex::lookup_float4(RMA,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat); + float Local8 = (Local7.z * 0.5); + float Local9 = math::min(math::max(Local7.x,0.0),1.0); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float OpacityMask_mdl = 1.0; + float3 BaseColor_mdl = Local6; + float Metallic_mdl = Local7.y; + float Specular_mdl = Local8; + float Roughness_mdl = Local9; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_StandardShelf13/Materials/OmniUe4Base.mdl b/Shelf/BP_StandardShelf13/Materials/OmniUe4Base.mdl new file mode 100644 index 0000000000000000000000000000000000000000..a441fbaf28040302c7aaabfbcf14b24a85bdf643 --- /dev/null +++ b/Shelf/BP_StandardShelf13/Materials/OmniUe4Base.mdl @@ -0,0 +1,224 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.0 - first version +//* 1.0.1 - merge unlit template +//* 1.0.2 - Fix EDF in the back side: the EDF contained in surface is only used for the front side and not for the back side +//* 1.0.3 - UE4 normal mapping: Geometry normal shouldn't be changed +//* 1.0.4 - using absolute import paths when importing standard modules + +mdl 1.3; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + +float emissive_multiplier() +[[ + anno::description("the multiplier to convert UE4 emissive to raw data"), + anno::noinline() +]] +{ + return 20.0f * 128.0f; +} + +float3 tangent_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in tangent space"), + anno::noinline() +]] +{ + return math::normalize( + tangent_u * normal.x - /* flip_tangent_v */ + tangent_v * normal.y + + state::normal() * (normal.z)); +} + +float3 world_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in world space"), + anno::noinline() +]] +{ + return tangent_space_normal( + math::normalize( + normal.x * float3(tangent_u.x, tangent_v.x, state::normal().x) - + normal.y * float3(tangent_u.y, tangent_v.y, state::normal().y) + + normal.z * float3(tangent_u.z, tangent_v.z, state::normal().z)), + tangent_u, + tangent_v + ); +} + +export material OmniUe4Base( + float3 base_color = float3(0.0, 0.0, 0.0), + float metallic = 0.0, + float roughness = 0.5, + float specular = 0.5, + float3 normal = float3(0.0,0.0,1.0), + float clearcoat_weight = 0.0, + float clearcoat_roughness = 0.0, + float3 clearcoat_normal = float3(0.0,0.0,1.0), + uniform bool enable_opacity = true, + float opacity = 1.0, + float3 emissive_color = float3(0.0, 0.0, 0.0), + float3 displacement = float3(0.0), + uniform bool is_tangent_space_normal = true, + uniform bool two_sided = false, + uniform bool is_unlit = false +) +[[ + anno::display_name("Omni UE4 Base"), + anno::description("Omni UE4 Base, supports UE4 default lit and clearcoat shading model"), + anno::version( 1, 0, 0), + anno::author("NVIDIA CORPORATION"), + anno::key_words(string[]("omni", "UE4", "omniverse", "lit", "clearcoat", "generic")) +]] + = let { + color final_base_color = math::saturate(base_color); + float final_metallic = math::saturate(metallic); + float final_roughness = math::saturate(roughness); + float final_specular = math::saturate(specular); + color final_emissive_color = math::max(emissive_color, 0.0f) * emissive_multiplier(); /*factor for converting ue4 emissive to raw value*/ + float final_clearcoat_weight = math::saturate(clearcoat_weight); + float final_clearcoat_roughness = math::saturate(clearcoat_roughness); + float3 final_normal = math::normalize(normal); + float3 final_clearcoat_normal = math::normalize(clearcoat_normal); + + // - compute final roughness by squaring the "roughness" parameter + float alpha = final_roughness * final_roughness; + // reduce the reflectivity at grazing angles to avoid "dark edges" for high roughness due to the layering + float grazing_refl = math::max((1.0 - final_roughness), 0.0); + + float3 the_normal = is_unlit ? state::normal() : + (is_tangent_space_normal ? + tangent_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + )); + + // for the dielectric component we layer the glossy component on top of the diffuse one, + // the glossy layer has no color tint + + bsdf dielectric_component = df::custom_curve_layer( + weight: final_specular, + normal_reflectivity: 0.08, + grazing_reflectivity: grazing_refl, + layer: df::microfacet_ggx_smith_bsdf(roughness_u: alpha), + base: df::diffuse_reflection_bsdf(tint: final_base_color), + normal: the_normal); + + // the metallic component doesn't have a diffuse component, it's only glossy + // base_color is applied to tint it + bsdf metallic_component = df::microfacet_ggx_smith_bsdf(tint: final_base_color, roughness_u: alpha); + + // final BSDF is a linear blend between dielectric and metallic component + bsdf dielectric_metal_mix = + df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: metallic_component, + weight: final_metallic), + df::bsdf_component( + component: dielectric_component, + weight: 1.0-final_metallic) + ) + ); + + // clearcoat layer + float clearcoat_grazing_refl = math::max((1.0 - final_clearcoat_roughness), 0.0); + float clearcoat_alpha = final_clearcoat_roughness * final_clearcoat_roughness; + + float3 the_clearcoat_normal = is_tangent_space_normal ? tangent_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ); + + + bsdf clearcoat = + df::custom_curve_layer( + base: df::weighted_layer( + layer: dielectric_metal_mix, + weight: 1.0, + normal: final_clearcoat_weight == 0.0 ? state::normal() : the_normal + ), + layer: df::microfacet_ggx_smith_bsdf( + roughness_u: clearcoat_alpha, + tint: color(1.0) + ), + normal_reflectivity: 0.04, + grazing_reflectivity: clearcoat_grazing_refl, + normal: the_clearcoat_normal, + weight: final_clearcoat_weight + ); + bsdf surface = is_unlit ? bsdf() : clearcoat; +} +in material( + thin_walled: two_sided, // Graphene? + surface: material_surface( + scattering: surface, + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + backface: material_surface( + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + geometry: material_geometry( + displacement: displacement, + normal: final_clearcoat_weight == 0.0 ? the_normal : state::normal(), + cutout_opacity: enable_opacity ? opacity : 1.0 + ) +); diff --git a/Shelf/BP_StandardShelf13/Materials/OmniUe4Function.mdl b/Shelf/BP_StandardShelf13/Materials/OmniUe4Function.mdl new file mode 100644 index 0000000000000000000000000000000000000000..84f4f0da48ff31d03ee611373fe3a4d2e04c9079 --- /dev/null +++ b/Shelf/BP_StandardShelf13/Materials/OmniUe4Function.mdl @@ -0,0 +1,1413 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.1 - using absolute import paths when importing standard modules + +mdl 1.6; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + + +export float3 convert_to_left_hand(float3 vec3, uniform bool up_z = true, uniform bool is_position = true) +[[ + anno::description("convert from RH to LH"), + anno::noinline() +]] +{ + float4x4 ZupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, -1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4x4 YupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4 vec4 = float4(vec3.x, vec3.y, vec3.z, is_position ? 1.0f : 0.0f); + + vec4 = vec4 * (up_z ? ZupConversion : YupConversion); + + return float3(vec4.x, vec4.y, vec4.z); +} + +export float3 transform_vector_from_tangent_to_world(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from tangent space to world space"), + anno::noinline() +]] +{ + /* flip_tangent_v */ + return convert_to_left_hand( + tangent_u * vector.x - tangent_v * vector.y + state::normal() * vector.z, + up_z, false); +} + +export float3 transform_vector_from_world_to_tangent(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from world space to tangent space"), + anno::noinline() +]] +{ + float3 vecRH = convert_to_left_hand(vector, up_z, false); + /* flip_tangent_v */ + return vecRH.x * float3(tangent_u.x, -tangent_v.x, state::normal().x) + + vecRH.y * float3(tangent_u.y, -tangent_v.y, state::normal().y) + + vecRH.z * float3(tangent_u.z, -tangent_v.z, state::normal().z); +} + +export float4 unpack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Unpack a normal stored in a normal map"), + anno::noinline() +]] +{ + float2 normal_xy = float2(texture_sample.x, texture_sample.y); + + normal_xy = normal_xy * float2(2.0,2.0) - float2(1.0,1.0); + float normal_z = math::sqrt( math::saturate( 1.0 - math::dot( normal_xy, normal_xy ) ) ); + return float4( normal_xy.x, normal_xy.y, normal_z, 1.0 ); +} + +// for get color value from normal. +export float4 pack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Pack to color from a normal") +]] +{ + float2 return_xy = float2(texture_sample.x, texture_sample.y); + + return_xy = (return_xy + float2(1.0,1.0)) / float2(2.0,2.0); + + return float4( return_xy.x, return_xy.y, 0.0, 1.0 ); +} + +export float4 greyscale_texture_lookup( + float4 texture_sample = float4(0.0, 0.0, 0.0, 1.0) + ) +[[ + anno::description("Sampling a greyscale texture"), + anno::noinline() +]] +{ + return float4(texture_sample.x, texture_sample.x, texture_sample.x, texture_sample.x); +} + +export float3 pixel_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Pixel normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 vertex_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Vertex normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 landscape_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Landscape normal in world space") +]] +{ + float3 normalFromNormalmap = math::floor((::vertex_normal_world_space(up_z) * 0.5 + 0.5) * 255.0) / 255.0 * 2.0 - 1.0; + + float2 normalXY = float2(normalFromNormalmap.x, normalFromNormalmap.y); + return float3(normalXY.x, normalXY.y, math::sqrt(math::saturate(1.0 - math::dot(normalXY, normalXY)))); +} + +// Different implementation specific between mdl and hlsl for smoothstep +export float smoothstep(float a, float b, float l) +{ + if (a < b) + { + return math::smoothstep(a, b, l); + } + else if (a > b) + { + return 1.0 - math::smoothstep(b, a, l); + } + else + { + return l <= a ? 0.0 : 1.0; + } +} + +export float2 smoothstep(float2 a, float2 b, float2 l) +{ + return float2(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y)); +} + +export float3 smoothstep(float3 a, float3 b, float3 l) +{ + return float3(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z)); +} + +export float4 smoothstep(float4 a, float4 b, float4 l) +{ + return float4(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z), smoothstep(a.w, b.w, l.w)); +} + +export float2 smoothstep(float2 a, float2 b, float l) +{ + return float2(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l)); +} + +export float3 smoothstep(float3 a, float3 b, float l) +{ + return float3(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l)); +} + +export float4 smoothstep(float4 a, float4 b, float l) +{ + return float4(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l), smoothstep(a.w, b.w, l)); +} + +export float2 smoothstep(float a, float b, float2 l) +{ + return float2(smoothstep(a, b, l.x), smoothstep(a, b, l.y)); +} + +export float3 smoothstep(float a, float b, float3 l) +{ + return float3(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z)); +} + +export float4 smoothstep(float a, float b, float4 l) +{ + return float4(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z), smoothstep(a, b, l.w)); +} + +//------------------ Random from UE4 ----------------------- +float length2(float3 v) +{ + return math::dot(v, v); +} + +float3 GetPerlinNoiseGradientTextureAt(uniform texture_2d PerlinNoiseGradientTexture, float3 v) +{ + const float2 ZShear = float2(17.0f, 89.0f); + + float2 OffsetA = v.z * ZShear; + float2 TexA = (float2(v.x, v.y) + OffsetA + 0.5f) / 128.0f; + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA.x,1.0-TexA.y),tex::wrap_repeat,tex::wrap_repeat); + return float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z) * 2.0 - 1.0; +} + +float3 SkewSimplex(float3 In) +{ + return In + math::dot(In, float3(1.0 / 3.0f) ); +} +float3 UnSkewSimplex(float3 In) +{ + return In - math::dot(In, float3(1.0 / 6.0f) ); +} + +// 3D random number generator inspired by PCGs (permuted congruential generator) +// Using a **simple** Feistel cipher in place of the usual xor shift permutation step +// @param v = 3D integer coordinate +// @return three elements w/ 16 random bits each (0-0xffff). +// ~8 ALU operations for result.x (7 mad, 1 >>) +// ~10 ALU operations for result.xy (8 mad, 2 >>) +// ~12 ALU operations for result.xyz (9 mad, 3 >>) + +//TODO: uint3 +int3 Rand3DPCG16(int3 p) +{ + // taking a signed int then reinterpreting as unsigned gives good behavior for negatives + //TODO: uint3 + int3 v = int3(p); + + // Linear congruential step. These LCG constants are from Numerical Recipies + // For additional #'s, PCG would do multiple LCG steps and scramble each on output + // So v here is the RNG state + v = v * 1664525 + 1013904223; + + // PCG uses xorshift for the final shuffle, but it is expensive (and cheap + // versions of xorshift have visible artifacts). Instead, use simple MAD Feistel steps + // + // Feistel ciphers divide the state into separate parts (usually by bits) + // then apply a series of permutation steps one part at a time. The permutations + // use a reversible operation (usually ^) to part being updated with the result of + // a permutation function on the other parts and the key. + // + // In this case, I'm using v.x, v.y and v.z as the parts, using + instead of ^ for + // the combination function, and just multiplying the other two parts (no key) for + // the permutation function. + // + // That gives a simple mad per round. + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + + // only top 16 bits are well shuffled + return v >> 16; +} + +// Wraps noise for tiling texture creation +// @param v = unwrapped texture parameter +// @param bTiling = true to tile, false to not tile +// @param RepeatSize = number of units before repeating +// @return either original or wrapped coord +float3 NoiseTileWrap(float3 v, bool bTiling, float RepeatSize) +{ + return bTiling ? (math::frac(v / RepeatSize) * RepeatSize) : v; +} + +// Evaluate polynomial to get smooth transitions for Perlin noise +// only needed by Perlin functions in this file +// scalar(per component): 2 add, 5 mul +float4 PerlinRamp(float4 t) +{ + return t * t * t * (t * (t * 6 - 15) + 10); +} + +// Blum-Blum-Shub-inspired pseudo random number generator +// http://www.umbc.edu/~olano/papers/mNoise.pdf +// real BBS uses ((s*s) mod M) with bignums and M as the product of two huge Blum primes +// instead, we use a single prime M just small enough not to overflow +// note that the above paper used 61, which fits in a half, but is unusably bad +// @param Integer valued floating point seed +// @return random number in range [0,1) +// ~8 ALU operations (5 *, 3 frac) +float RandBBSfloat(float seed) +{ + float BBS_PRIME24 = 4093.0; + float s = math::frac(seed / BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + return s; +} + +// Modified noise gradient term +// @param seed - random seed for integer lattice position +// @param offset - [-1,1] offset of evaluation point from lattice point +// @return gradient direction (xyz) and contribution (w) from this lattice point +float4 MGradient(int seed, float3 offset) +{ + //TODO uint + int rand = Rand3DPCG16(int3(seed,0,0)).x; + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1.0 / 0x4000, 1.0 / 0x2000, 1.0 / 0x1000); + float3 direction = float3(int3(rand, rand, rand) & MGradientMask) * MGradientScale - 1; + return float4(direction.x, direction.y, direction.z, math::dot(direction, offset)); +} + +// compute Perlin and related noise corner seed values +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = true to return seed values for a repeating noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @param seed000-seed111 = hash function seeds for the eight corners +// @return fractional part of v +struct SeedValue +{ + float3 fv = float3(0); + float seed000 = 0; + float seed001 = 0; + float seed010 = 0; + float seed011 = 0; + float seed100 = 0; + float seed101 = 0; + float seed110 = 0; + float seed111 = 0; +}; + +SeedValue NoiseSeeds(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds; + seeds.fv = math::frac(v); + float3 iv = math::floor(v); + + const float3 primes = float3(19, 47, 101); + + if (bTiling) + { // can't algebraically combine with primes + seeds.seed000 = math::dot(primes, NoiseTileWrap(iv, true, RepeatSize)); + seeds.seed100 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 0), true, RepeatSize)); + seeds.seed010 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 0), true, RepeatSize)); + seeds.seed110 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 0), true, RepeatSize)); + seeds.seed001 = math::dot(primes, NoiseTileWrap(iv + float3(0, 0, 1), true, RepeatSize)); + seeds.seed101 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 1), true, RepeatSize)); + seeds.seed011 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 1), true, RepeatSize)); + seeds.seed111 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 1), true, RepeatSize)); + } + else + { // get to combine offsets with multiplication by primes in this case + seeds.seed000 = math::dot(iv, primes); + seeds.seed100 = seeds.seed000 + primes.x; + seeds.seed010 = seeds.seed000 + primes.y; + seeds.seed110 = seeds.seed100 + primes.y; + seeds.seed001 = seeds.seed000 + primes.z; + seeds.seed101 = seeds.seed100 + primes.z; + seeds.seed011 = seeds.seed010 + primes.z; + seeds.seed111 = seeds.seed110 + primes.z; + } + + return seeds; +} + +struct SimplexWeights +{ + float4 Result = float4(0); + float3 PosA = float3(0); + float3 PosB = float3(0); + float3 PosC = float3(0); + float3 PosD = float3(0); +}; + +// Computed weights and sample positions for simplex interpolation +// @return float4(a,b,c, d) Barycentric coordinate defined as Filtered = Tex(PosA) * a + Tex(PosB) * b + Tex(PosC) * c + Tex(PosD) * d +SimplexWeights ComputeSimplexWeights3D(float3 OrthogonalPos) +{ + SimplexWeights weights; + float3 OrthogonalPosFloor = math::floor(OrthogonalPos); + + weights.PosA = OrthogonalPosFloor; + weights.PosB = weights.PosA + float3(1, 1, 1); + + OrthogonalPos -= OrthogonalPosFloor; + + float Largest = math::max(OrthogonalPos.x, math::max(OrthogonalPos.y, OrthogonalPos.z)); + float Smallest = math::min(OrthogonalPos.x, math::min(OrthogonalPos.y, OrthogonalPos.z)); + + weights.PosC = weights.PosA + float3(Largest == OrthogonalPos.x, Largest == OrthogonalPos.y, Largest == OrthogonalPos.z); + weights.PosD = weights.PosA + float3(Smallest != OrthogonalPos.x, Smallest != OrthogonalPos.y, Smallest != OrthogonalPos.z); + + float RG = OrthogonalPos.x - OrthogonalPos.y; + float RB = OrthogonalPos.x - OrthogonalPos.z; + float GB = OrthogonalPos.y - OrthogonalPos.z; + + weights.Result.z = + math::min(math::max(0, RG), math::max(0, RB)) // X + + math::min(math::max(0, -RG), math::max(0, GB)) // Y + + math::min(math::max(0, -RB), math::max(0, -GB)); // Z + + weights.Result.w = + math::min(math::max(0, -RG), math::max(0, -RB)) // X + + math::min(math::max(0, RG), math::max(0, -GB)) // Y + + math::min(math::max(0, RB), math::max(0, GB)); // Z + + weights.Result.y = Smallest; + weights.Result.x = 1.0f - weights.Result.y - weights.Result.z - weights.Result.w; + + return weights; +} + +// filtered 3D gradient simple noise (few texture lookups, high quality) +// @param v >0 +// @return random number in the range -1 .. 1 +float SimplexNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 EvalPos) +{ + float3 OrthogonalPos = SkewSimplex(EvalPos); + + SimplexWeights Weights = ComputeSimplexWeights3D(OrthogonalPos); + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 32 bit) + float3 A = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosA); + float3 B = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosB); + float3 C = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosC); + float3 D = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosD); + + Weights.PosA = UnSkewSimplex(Weights.PosA); + Weights.PosB = UnSkewSimplex(Weights.PosB); + Weights.PosC = UnSkewSimplex(Weights.PosC); + Weights.PosD = UnSkewSimplex(Weights.PosD); + + float DistanceWeight; + + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosA)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float a = math::dot(A, EvalPos - Weights.PosA) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosB)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float b = math::dot(B, EvalPos - Weights.PosB) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosC)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float c = math::dot(C, EvalPos - Weights.PosC) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosD)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float d = math::dot(D, EvalPos - Weights.PosD) * DistanceWeight; + + return 32 * (a + b + c + d); +} + +// filtered 3D noise, can be optimized +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 v, bool bTiling, float RepeatSize) +{ + bTiling = true; + float3 fv = math::frac(v); + float3 iv0 = NoiseTileWrap(math::floor(v), bTiling, RepeatSize); + float3 iv1 = NoiseTileWrap(iv0 + 1, bTiling, RepeatSize); + + const int2 ZShear = int2(17, 89); + + float2 OffsetA = iv0.z * ZShear; + float2 OffsetB = OffsetA + ZShear; // non-tiling, use relative offset + if (bTiling) // tiling, have to compute from wrapped coordinates + { + OffsetB = iv1.z * ZShear; + } + + // Texture size scale factor + float ts = 1 / 128.0f; + + // texture coordinates for iv0.xy, as offset for both z slices + float2 TexA0 = (float2(iv0.x, iv0.y) + OffsetA + 0.5f) * ts; + float2 TexB0 = (float2(iv0.x, iv0.y) + OffsetB + 0.5f) * ts; + + // texture coordinates for iv1.xy, as offset for both z slices + float2 TexA1 = TexA0 + ts; // for non-tiling, can compute relative to existing coordinates + float2 TexB1 = TexB0 + ts; + if (bTiling) // for tiling, need to compute from wrapped coordinates + { + TexA1 = (float2(iv1.x, iv1.y) + OffsetA + 0.5f) * ts; + TexB1 = (float2(iv1.x, iv1.y) + OffsetB + 0.5f) * ts; + } + + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 8, 16 or 32 bit) + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 A = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 B = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 C = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 D = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 E = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 F = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 G = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 H = PerlinNoiseColor * 2 - 1; + + float a = math::dot(A, fv - float3(0, 0, 0)); + float b = math::dot(B, fv - float3(1, 0, 0)); + float c = math::dot(C, fv - float3(0, 1, 0)); + float d = math::dot(D, fv - float3(1, 1, 0)); + float e = math::dot(E, fv - float3(0, 0, 1)); + float f = math::dot(F, fv - float3(1, 0, 1)); + float g = math::dot(G, fv - float3(0, 1, 1)); + float h = math::dot(H, fv - float3(1, 1, 1)); + + float4 Weights = PerlinRamp(math::frac(float4(fv.x, fv.y, fv.z, 0))); + + float i = math::lerp(math::lerp(a, b, Weights.x), math::lerp(c, d, Weights.x), Weights.y); + float j = math::lerp(math::lerp(e, f, Weights.x), math::lerp(g, h, Weights.x), Weights.y); + + return math::lerp(i, j, Weights.z); +} + +// @return random number in the range -1 .. 1 +// scalar: 6 frac, 31 mul/mad, 15 add, +float FastGradientPerlinNoise3D_TEX(uniform texture_3d PerlinNoise3DTexture, float3 xyz) +{ + // needs to be the same value when creating the PerlinNoise3D texture + float Extent = 16; + + // last texel replicated and needed for filtering + // scalar: 3 frac, 6 mul + xyz = math::frac(xyz / (Extent - 1)) * (Extent - 1); + + // scalar: 3 frac + float3 uvw = math::frac(xyz); + // = floor(xyz); + // scalar: 3 add + float3 p0 = xyz - uvw; +// float3 f = math::pow(uvw, 2) * 3.0f - math::pow(uvw, 3) * 2.0f; // original perlin hermite (ok when used without bump mapping) + // scalar: 2*3 add 5*3 mul + float4 pr = PerlinRamp(float4(uvw.x, uvw.y, uvw.z, 0)); + float3 f = float3(pr.x, pr.y, pr.z); // new, better with continues second derivative for bump mapping + // scalar: 3 add + float3 p = p0 + f; + // scalar: 3 mad + // TODO: need reverse??? + float4 NoiseSample = tex::lookup_float4(PerlinNoise3DTexture, p / Extent + 0.5f / Extent); // +0.5f to get rid of bilinear offset + + // reconstruct from 8bit (using mad with 2 constants and dot4 was same instruction count) + // scalar: 4 mad, 3 mul, 3 add + float3 n = float3(NoiseSample.x, NoiseSample.y, NoiseSample.z) * 255.0f / 127.0f - 1.0f; + float d = NoiseSample.w * 255.f - 127; + return math::dot(xyz, n) - d; +} + +// Perlin-style "Modified Noise" +// http://www.umbc.edu/~olano/papers/index.html#mNoise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = MGradient(int(seeds.seed000), seeds.fv - float3(0, 0, 0)).w; + float rand100 = MGradient(int(seeds.seed100), seeds.fv - float3(1, 0, 0)).w; + float rand010 = MGradient(int(seeds.seed010), seeds.fv - float3(0, 1, 0)).w; + float rand110 = MGradient(int(seeds.seed110), seeds.fv - float3(1, 1, 0)).w; + float rand001 = MGradient(int(seeds.seed001), seeds.fv - float3(0, 0, 1)).w; + float rand101 = MGradient(int(seeds.seed101), seeds.fv - float3(1, 0, 1)).w; + float rand011 = MGradient(int(seeds.seed011), seeds.fv - float3(0, 1, 1)).w; + float rand111 = MGradient(int(seeds.seed111), seeds.fv - float3(1, 1, 1)).w; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D value noise - used to be incorrectly called Perlin noise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float ValueNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = RandBBSfloat(seeds.seed000) * 2 - 1; + float rand100 = RandBBSfloat(seeds.seed100) * 2 - 1; + float rand010 = RandBBSfloat(seeds.seed010) * 2 - 1; + float rand110 = RandBBSfloat(seeds.seed110) * 2 - 1; + float rand001 = RandBBSfloat(seeds.seed001) * 2 - 1; + float rand101 = RandBBSfloat(seeds.seed101) * 2 - 1; + float rand011 = RandBBSfloat(seeds.seed011) * 2 - 1; + float rand111 = RandBBSfloat(seeds.seed111) * 2 - 1; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D jitter offset within a voronoi noise cell +// @param pos - integer lattice corner +// @return random offsets vector +float3 VoronoiCornerSample(float3 pos, int Quality) +{ + // random values in [-0.5, 0.5] + float3 noise = float3(Rand3DPCG16(int3(pos))) / 0xffff - 0.5; + + // quality level 1 or 2: searches a 2x2x2 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 2x2x2 search + if (Quality <= 2) + { + return math::normalize(noise) * 0.2588; + } + + // quality level 3: searches a 3x3x3 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 3x3x3 search + if (Quality == 3) + { + return math::normalize(noise) * 0.3090; + } + + // quality level 4: jitter to anywhere in the cell, needs 4x4x4 search + return noise; +} + +// compare previous best with a new candidate +// not producing point locations makes it easier for compiler to eliminate calculations when they're not needed +// @param minval = location and distance of best candidate seed point before the new one +// @param candidate = candidate seed point +// @param offset = 3D offset to new candidate seed point +// @param bDistanceOnly = if true, only set maxval.w with distance, otherwise maxval.w is distance and maxval.xyz is position +// @return position (if bDistanceOnly is false) and distance to closest seed point so far +float4 VoronoiCompare(float4 minval, float3 candidate, float3 offset, bool bDistanceOnly) +{ + if (bDistanceOnly) + { + return float4(0, 0, 0, math::min(minval.w, math::dot(offset, offset))); + } + else + { + float newdist = math::dot(offset, offset); + return newdist > minval.w ? minval : float4(candidate.x, candidate.y, candidate.z, newdist); + } +} + +// 220 instruction Worley noise +float4 VoronoiNoise3D_ALU(float3 v, int Quality, bool bTiling, float RepeatSize, bool bDistanceOnly) +{ + float3 fv = math::frac(v), fv2 = math::frac(v + 0.5); + float3 iv = math::floor(v), iv2 = math::floor(v + 0.5); + + // with initial minimum distance = infinity (or at least bigger than 4), first min is optimized away + float4 mindist = float4(0,0,0,100); + float3 p, offset; + + // quality level 3: do a 3x3x3 search + if (Quality == 3) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 1; ++offset_x) + { + for (offset_y = -1; offset_y <= 1; ++offset_y) + { + for (offset_z = -1; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + + // everybody else searches a base 2x2x2 neighborhood + else + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = 0; offset_x <= 1; ++offset_x) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // quality level 2, do extra set of points, offset by half a cell + if (Quality == 2) + { + // 467 is just an offset to a different area in the random number field to avoid similar neighbor artifacts + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize) + 467, Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + } + + // quality level 4: add extra sets of four cells in each direction + if (Quality >= 4) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 2; offset_x += 3) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + // along x axis + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along y axis + p = float3(offset.y, offset.z, offset.x) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.y, offset.z, offset.x), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along z axis + p = float3(offset.z, offset.x, offset.y) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.z, offset.x, offset.y), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + } + } + } + } + + // transform squared distance to real distance + return float4(mindist.x, mindist.y, mindist.z, math::sqrt(mindist.w)); +} + +// Coordinates for corners of a Simplex tetrahedron +// Based on McEwan et al., Efficient computation of noise in GLSL, JGT 2011 +// @param v = 3D noise argument +// @return 4 corner locations +float4x3 SimplexCorners(float3 v) +{ + // find base corner by skewing to tetrahedral space and back + float3 tet = math::floor(v + v.x/3 + v.y/3 + v.z/3); + float3 base = tet - tet.x/6 - tet.y/6 - tet.z/6; + float3 f = v - base; + + // Find offsets to other corners (McEwan did this in tetrahedral space, + // but since skew is along x=y=z axis, this works in Euclidean space too.) + float3 g = math::step(float3(f.y,f.z,f.x), float3(f.x,f.y,f.z)), h = 1 - float3(g.z, g.x, g.y); + float3 a1 = math::min(g, h) - 1.0 / 6.0, a2 = math::max(g, h) - 1.0 / 3.0; + + // four corners + return float4x3(base, base + a1, base + a2, base + 0.5); +} + +// Improved smoothing function for simplex noise +// @param f = fractional distance to four tetrahedral corners +// @return weight for each corner +float4 SimplexSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + return (1 * scale + s*(-3 * scale + s*(3 * scale - s*scale))); +} + +// Derivative of simplex noise smoothing function +// @param f = fractional distanc eto four tetrahedral corners +// @return derivative of smoothing function for each corner by x, y and z +float3x4 SimplexDSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + s = -12 * scale + s*(24 * scale - s * 12 * scale); + + return float3x4( + s * float4(f[0][0], f[1][0], f[2][0], f[3][0]), + s * float4(f[0][1], f[1][1], f[2][1], f[3][1]), + s * float4(f[0][2], f[1][2], f[2][2], f[3][2])); +} + +// Simplex noise and its Jacobian derivative +// @param v = 3D noise argument +// @param bTiling = whether to repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension, must be a multiple of 3 +// @return float3x3 Jacobian in J[*].xyz, vector noise in J[*].w +// J[0].w, J[1].w, J[2].w is a Perlin-style simplex noise with vector output, e.g. (Nx, Ny, Nz) +// J[i].x is X derivative of the i'th component of the noise so J[2].x is dNz/dx +// You can use this to compute the noise, gradient, curl, or divergence: +// float3x4 J = JacobianSimplex_ALU(...); +// float3 VNoise = float3(J[0].w, J[1].w, J[2].w); // 3D noise +// float3 Grad = J[0].xyz; // gradient of J[0].w +// float3 Curl = float3(J[1][2]-J[2][1], J[2][0]-J[0][2], J[0][1]-J[1][2]); +// float Div = J[0][0]+J[1][1]+J[2][2]; +// All of these are confirmed to compile out all unneeded terms. +// So Grad of X doesn't compute Y or Z components, and VNoise doesn't do any of the derivative computation. +float3x4 JacobianSimplex_ALU(float3 v, bool bTiling, float RepeatSize) +{ + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1. / 0x4000, 1. / 0x2000, 1. / 0x1000); + + // corners of tetrahedron + float4x3 T = SimplexCorners(v); + // TODO: uint3 + int3 rand = int3(0); + float4x3 gvec0 = float4x3(1.0); + float4x3 gvec1 = float4x3(1.0); + float4x3 gvec2 = float4x3(1.0); + float4x3 fv = float4x3(1.0); + float3x4 grad = float3x4(1.0); + + // processing of tetrahedral vertices, unrolled + // to compute gradient at each corner + fv[0] = v - T[0]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[0] + 0.5, bTiling, RepeatSize)))); + gvec0[0] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[0] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[0] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][0] = math::dot(gvec0[0], fv[0]); + grad[1][0] = math::dot(gvec1[0], fv[0]); + grad[2][0] = math::dot(gvec2[0], fv[0]); + + fv[1] = v - T[1]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[1] + 0.5, bTiling, RepeatSize)))); + gvec0[1] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][1] = math::dot(gvec0[1], fv[1]); + grad[1][1] = math::dot(gvec1[1], fv[1]); + grad[2][1] = math::dot(gvec2[1], fv[1]); + + fv[2] = v - T[2]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[2] + 0.5, bTiling, RepeatSize)))); + gvec0[2] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[2] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[2] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][2] = math::dot(gvec0[2], fv[2]); + grad[1][2] = math::dot(gvec1[2], fv[2]); + grad[2][2] = math::dot(gvec2[2], fv[2]); + + fv[3] = v - T[3]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[3] + 0.5, bTiling, RepeatSize)))); + gvec0[3] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[3] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[3] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][3] = math::dot(gvec0[3], fv[3]); + grad[1][3] = math::dot(gvec1[3], fv[3]); + grad[2][3] = math::dot(gvec2[3], fv[3]); + + // blend gradients + float4 sv = SimplexSmooth(fv); + float3x4 ds = SimplexDSmooth(fv); + + float3x4 jacobian = float3x4(1.0); + float3 vec0 = gvec0*sv + grad[0]*ds; // NOTE: mdl is column major, convert from UE4 (row major) + jacobian[0] = float4(vec0.x, vec0.y, vec0.z, math::dot(sv, grad[0])); + float3 vec1 = gvec1*sv + grad[1]*ds; + jacobian[1] = float4(vec1.x, vec1.y, vec1.z, math::dot(sv, grad[1])); + float3 vec2 = gvec2*sv + grad[2]*ds; + jacobian[2] = float4(vec2.x, vec2.y, vec2.z, math::dot(sv, grad[2])); + + return jacobian; +} + +// While RepeatSize is a float here, the expectation is that it would be largely integer values coming in from the UI. The downstream logic assumes +// floats for all called functions (NoiseTileWrap) and this prevents any float-to-int conversion errors from automatic type conversion. +float Noise3D_Multiplexer(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, int Function, float3 Position, int Quality, bool bTiling, float RepeatSize) +{ + // verified, HLSL compiled out the switch if Function is a constant + switch(Function) + { + case 0: + return SimplexNoise3D_TEX(PerlinNoiseGradientTexture, Position); + case 1: + return GradientNoise3D_TEX(PerlinNoiseGradientTexture, Position, bTiling, RepeatSize); + case 2: + return FastGradientPerlinNoise3D_TEX(PerlinNoise3DTexture, Position); + case 3: + return GradientNoise3D_ALU(Position, bTiling, RepeatSize); + case 4: + return ValueNoise3D_ALU(Position, bTiling, RepeatSize); + case 5: + return VoronoiNoise3D_ALU(Position, Quality, bTiling, RepeatSize, true).w * 2.0 - 1.0; + } + return 0; +} +//---------------------------------------------------------- + +export float noise(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, float3 Position, float Scale, float Quality, float Function, float Turbulence, float Levels, float OutputMin, float OutputMax, float LevelScale, float FilterWidth, float Tiling, float RepeatSize) +[[ + anno::description("Noise"), + anno::noinline() +]] +{ + Position *= Scale; + FilterWidth *= Scale; + + float Out = 0.0f; + float OutScale = 1.0f; + float InvLevelScale = 1.0f / LevelScale; + + int iFunction(Function); + int iQuality(Quality); + int iLevels(Levels); + bool bTurbulence(Turbulence); + bool bTiling(Tiling); + + for(int i = 0; i < iLevels; ++i) + { + // fade out noise level that are too high frequent (not done through dynamic branching as it usually requires gradient instructions) + OutScale *= math::saturate(1.0 - FilterWidth); + + if(bTurbulence) + { + Out += math::abs(Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize)) * OutScale; + } + else + { + Out += Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize) * OutScale; + } + + Position *= LevelScale; + RepeatSize *= LevelScale; + OutScale *= InvLevelScale; + FilterWidth *= LevelScale; + } + + if(!bTurbulence) + { + // bring -1..1 to 0..1 range + Out = Out * 0.5f + 0.5f; + } + + // Out is in 0..1 range + return math::lerp(OutputMin, OutputMax, Out); +} + +// Material node for noise functions returning a vector value +// @param LevelScale usually 2 but higher values allow efficient use of few levels +// @return in user defined range (OutputMin..OutputMax) +export float4 vector4_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise"), + anno::noinline() +]] +{ + float4 result = float4(0,0,0,1); + float3 ret = float3(0); + int iQuality = int(Quality); + int iFunction = int(Function); + bool bTiling = Tiling > 0.0; + + float3x4 Jacobian = JacobianSimplex_ALU(Position, bTiling, TileSize); // compiled out if not used + + // verified, HLSL compiled out the switch if Function is a constant + switch (iFunction) + { + case 0: // Cellnoise + ret = float3(Rand3DPCG16(int3(math::floor(NoiseTileWrap(Position, bTiling, TileSize))))) / 0xffff; + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 1: // Color noise + ret = float3(Jacobian[0].w, Jacobian[1].w, Jacobian[2].w); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 2: // Gradient + result = Jacobian[0]; + break; + case 3: // Curl + ret = float3(Jacobian[2][1] - Jacobian[1][2], Jacobian[0][2] - Jacobian[2][0], Jacobian[1][0] - Jacobian[0][1]); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 4: // Voronoi + result = VoronoiNoise3D_ALU(Position, iQuality, bTiling, TileSize, false); + break; + } + return result; +} + +export float3 vector3_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise float3 version"), + anno::noinline() +]] +{ + float4 noise = vector4_noise(Position, Quality, Function, Tiling, TileSize); + return float3(noise.x, noise.y, noise.z); +} + + +// workaround for ue4 fresnel (without supporting for camera vector) : replacing it with 0.0, means facing to the view +export float fresnel(float exponent [[anno::unused()]], float base_reflect_fraction [[anno::unused()]], float3 normal [[anno::unused()]]) +[[ + anno::description("Fresnel"), + anno::noinline() +]] +{ + return 0.0; +} + +export float fresnel_function(float3 normal_vector [[anno::unused()]], float3 camera_vector [[anno::unused()]], + bool invert_fresnel [[anno::unused()]], float power [[anno::unused()]], + bool use_cheap_contrast [[anno::unused()]], float cheap_contrast_dark [[anno::unused()]], float cheap_contrast_bright [[anno::unused()]], + bool clamp_fresnel_dot_product [[anno::unused()]]) +[[ + anno::description("Fresnel Function"), + anno::noinline() +]] +{ + return 0.0; +} + +export float3 camera_vector(uniform bool up_z = true) +[[ + anno::description("Camera Vector"), + anno::noinline() +]] +{ + // assume camera postion is 0,0,0 + return math::normalize(float3(0) - convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)); +} + +export float pixel_depth() +[[ + anno::description("Pixel Depth"), + anno::noinline() +]] +{ + return 256.0f; +} + +export float scene_depth() +[[ + anno::description("Scene Depth") +]] +{ + return 65500.0f; +} + +export float3 scene_color() +[[ + anno::description("Scene Color") +]] +{ + return float3(1.0f); +} + +export float4 vertex_color() +[[ + anno::description("Vertex Color"), + anno::noinline() +]] +{ + return float4(1.0f); +} + +export float4 vertex_color_from_coordinate(int VertexColorCoordinateIndex) +[[ + anno::description("Vertex Color for float2 PrimVar"), + anno::noinline() +]] +{ + // Kit only supports 4 uv sets, 2 uvs are available to vertex color. if vertex color index is invalid, output the constant WHITE color intead + return (VertexColorCoordinateIndex > 2) ? float4(1.0f) : float4(state::texture_coordinate(VertexColorCoordinateIndex).x, state::texture_coordinate(VertexColorCoordinateIndex).y, state::texture_coordinate(VertexColorCoordinateIndex+1).x, state::texture_coordinate(VertexColorCoordinateIndex+1).y); +} + +export float3 camera_position() +[[ + anno::description("Camera Position"), + anno::noinline() +]] +{ + return float3(1000.0f, 0, 0); +} + +export float3 rotate_about_axis(float4 NormalizedRotationAxisAndAngle, float3 PositionOnAxis, float3 Position) +[[ + anno::description("Rotates Position about the given axis by the given angle") +]] +{ + // Project Position onto the rotation axis and find the closest point on the axis to Position + float3 NormalizedRotationAxis = float3(NormalizedRotationAxisAndAngle.x,NormalizedRotationAxisAndAngle.y,NormalizedRotationAxisAndAngle.z); + float3 ClosestPointOnAxis = PositionOnAxis + NormalizedRotationAxis * math::dot(NormalizedRotationAxis, Position - PositionOnAxis); + // Construct orthogonal axes in the plane of the rotation + float3 UAxis = Position - ClosestPointOnAxis; + float3 VAxis = math::cross(NormalizedRotationAxis, UAxis); + float[2] SinCosAngle = math::sincos(NormalizedRotationAxisAndAngle.w); + // Rotate using the orthogonal axes + float3 R = UAxis * SinCosAngle[1] + VAxis * SinCosAngle[0]; + // Reconstruct the rotated world space position + float3 RotatedPosition = ClosestPointOnAxis + R; + // Convert from position to a position offset + return RotatedPosition - Position; +} + +export float2 rotate_scale_offset_texcoords(float2 InTexCoords, float4 InRotationScale, float2 InOffset) +[[ + anno::description("Returns a float2 texture coordinate after 2x2 transform and offset applied") +]] +{ + return float2(math::dot(InTexCoords, float2(InRotationScale.x, InRotationScale.y)), math::dot(InTexCoords, float2(InRotationScale.z, InRotationScale.w))) + InOffset; +} + +export float3 reflection_custom_world_normal(float3 WorldNormal, bool bNormalizeInputNormal, uniform bool up_z = true) +[[ + anno::description("Reflection vector about the specified world space normal") +]] +{ + if (bNormalizeInputNormal) + { + WorldNormal = math::normalize(WorldNormal); + } + + return -camera_vector(up_z) + WorldNormal * math::dot(WorldNormal, camera_vector(up_z)) * 2.0; +} + +export float3 reflection_vector(uniform bool up_z = true) +[[ + anno::description("Reflection Vector"), + anno::noinline() +]] +{ + float3 normal = convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); + return reflection_custom_world_normal(normal, false, up_z); +} + +export float dither_temporalAA(float AlphaThreshold = 0.5f, float Random = 1.0f [[anno::unused()]]) +[[ + anno::description("Dither TemporalAA"), + anno::noinline() +]] +{ + return AlphaThreshold; +} + +export float3 black_body( float Temp ) +[[ + anno::description("Black Body"), + anno::noinline() +]] +{ + float u = ( 0.860117757f + 1.54118254e-4f * Temp + 1.28641212e-7f * Temp*Temp ) / ( 1.0f + 8.42420235e-4f * Temp + 7.08145163e-7f * Temp*Temp ); + float v = ( 0.317398726f + 4.22806245e-5f * Temp + 4.20481691e-8f * Temp*Temp ) / ( 1.0f - 2.89741816e-5f * Temp + 1.61456053e-7f * Temp*Temp ); + + float x = 3*u / ( 2*u - 8*v + 4 ); + float y = 2*v / ( 2*u - 8*v + 4 ); + float z = 1 - x - y; + + float Y = 1; + float X = Y/y * x; + float Z = Y/y * z; + + float3x3 XYZtoRGB = float3x3( + float3(3.2404542, -1.5371385, -0.4985314), + float3(-0.9692660, 1.8760108, 0.0415560), + float3(0.0556434, -0.2040259, 1.0572252) + ); + + return XYZtoRGB * float3( X, Y, Z ) * math::pow( 0.0004 * Temp, 4 ); +} + +export float per_instance_random(uniform texture_2d PerlinNoiseGradientTexture, int NumberInstances) +[[ + anno::description("Per Instance Random"), + anno::noinline() +]] +{ + float weight = state::object_id() / float(NumberInstances); + return NumberInstances == 0 ? 0.0 : tex::lookup_float4(PerlinNoiseGradientTexture, float2(weight, 1.0 - weight), tex::wrap_repeat, tex::wrap_repeat).x; +} + +//------------------ Hair from UE4 ----------------------- +float3 hair_absorption_to_color(float3 A) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::exp(-math::sqrt(A) * D); +} + +float3 hair_color_to_absorption(float3 C) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::pow(math::log(C) / D, 2.0f); +} + +export float3 get_hair_color_from_melanin(float InMelanin, float InRedness, float3 InDyeColor) +[[ + anno::description("Hair Color") +]] +{ + InMelanin = math::saturate(InMelanin); + InRedness = math::saturate(InRedness); + float Melanin = -math::log(math::max(1 - InMelanin, 0.0001f)); + float Eumelanin = Melanin * (1 - InRedness); + float Pheomelanin = Melanin * InRedness; + + float3 DyeAbsorption = hair_color_to_absorption(math::saturate(InDyeColor)); + float3 Absorption = Eumelanin * float3(0.506f, 0.841f, 1.653f) + Pheomelanin * float3(0.343f, 0.733f, 1.924f); + + return hair_absorption_to_color(Absorption + DyeAbsorption); +} + +export float3 local_object_bounds_min() +[[ + anno::description("Local Object Bounds Min"), + anno::noinline() +]] +{ + return float3(0.0); +} + +export float3 local_object_bounds_max() +[[ + anno::description("Local Object Bounds Max"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float3 object_bounds() +[[ + anno::description("Object Bounds"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float object_radius() +[[ + anno::description("Object Radius"), + anno::noinline() +]] +{ + return 100.0f; +} + +export float3 object_world_position(uniform bool up_z = true) +[[ + anno::description("Object World Position"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)*state::meters_per_scene_unit()*100.0; +} + +export float3 object_orientation() +[[ + anno::description("Object Orientation"), + anno::noinline() +]] +{ + return float3(0); +} + +export float rcp(float x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float2 rcp(float2 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float3 rcp(float3 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float4 rcp(float4 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export int BitFieldExtractI32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractI32 int"), + anno::noinline() +]] +{ + Size &= 3; + Offset &= 3; + + if (Size == 0) + return 0; + else if (Offset + Size < 32) + return (Data << (32 - Size - Offset)) >> (32 - Size); + else + return Data >> Offset; +} + +export int BitFieldExtractI32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractI32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(int(Data), int(Size), int(Offset)); +} + +export int BitFieldExtractU32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractU32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export int BitFieldExtractU32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractU32 int"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export float3 EyeAdaptationInverseLookup(float3 LightValue, float Alpha) +[[ + anno::description("EyeAdaptationInverseLookup"), + anno::noinline() +]] +{ + float Adaptation = 1.0f; + + // When Alpha=0.0, we want to multiply by 1.0. when Alpha = 1.0, we want to multiply by 1/Adaptation. + // So the lerped value is: + // LerpLogScale = Lerp(log(1),log(1/Adaptaiton),T) + // Which is simplified as: + // LerpLogScale = Lerp(0,-log(Adaptation),T) + // LerpLogScale = -T * logAdaptation; + + float LerpLogScale = -Alpha * math::log(Adaptation); + float Scale = math::exp(LerpLogScale); + return LightValue * Scale; +} diff --git a/Shelf/BP_StandardShelf13/Materials/Textures/TX_Fill_01a_ALB.png b/Shelf/BP_StandardShelf13/Materials/Textures/TX_Fill_01a_ALB.png new file mode 100644 index 0000000000000000000000000000000000000000..528019022ba7c89b855f7a4d2941210001fead06 --- /dev/null +++ b/Shelf/BP_StandardShelf13/Materials/Textures/TX_Fill_01a_ALB.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:fee342277b21693f79712651232e948e971704d1dad05a9c3419845133726030 +size 529 diff --git a/Shelf/BP_StandardShelf13/Materials/Textures/TX_Fill_01a_NRM.png b/Shelf/BP_StandardShelf13/Materials/Textures/TX_Fill_01a_NRM.png new file mode 100644 index 0000000000000000000000000000000000000000..bac643e168d6039f85cf61721c1430205801142b --- /dev/null +++ b/Shelf/BP_StandardShelf13/Materials/Textures/TX_Fill_01a_NRM.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:67da2ed33e060740fec6ec858fd8996f12c36cdfe7531e379855adb02e7d2126 +size 528 diff --git a/Shelf/BP_StandardShelf13/Materials/Textures/TX_Fill_01a_RMA.png b/Shelf/BP_StandardShelf13/Materials/Textures/TX_Fill_01a_RMA.png new file mode 100644 index 0000000000000000000000000000000000000000..9603bc776d81d5587769ca52357e9994e2f39327 --- /dev/null +++ b/Shelf/BP_StandardShelf13/Materials/Textures/TX_Fill_01a_RMA.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:964707e053aa985572045da96eb47c8491e621c681f45d01f80a623b06096b55 +size 529 diff --git a/Shelf/BP_StandardShelf13/Materials/Textures/TX_Shelf_02a_ALB.png b/Shelf/BP_StandardShelf13/Materials/Textures/TX_Shelf_02a_ALB.png new file mode 100644 index 0000000000000000000000000000000000000000..fba4b1a5627fa3bbdd99f9ee943b237d1568afc4 --- /dev/null +++ b/Shelf/BP_StandardShelf13/Materials/Textures/TX_Shelf_02a_ALB.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:a2f190a715d296d34affaa5ded7543b5ccdb6a210e40cc4349d091514895360a +size 6814201 diff --git a/Shelf/BP_StandardShelf13/Materials/Textures/TX_Shelf_02a_NRM.png b/Shelf/BP_StandardShelf13/Materials/Textures/TX_Shelf_02a_NRM.png new file mode 100644 index 0000000000000000000000000000000000000000..fe728a7baf9d53bf79c21d830bc29a0d2db6a3cd --- /dev/null +++ b/Shelf/BP_StandardShelf13/Materials/Textures/TX_Shelf_02a_NRM.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:7f979b49997a9e7161b964fc2da83dfb287f4adc1ef14f66ee370248c551815e +size 4565845 diff --git a/Shelf/BP_StandardShelf13/Materials/Textures/TX_Shelf_02a_RMA.png b/Shelf/BP_StandardShelf13/Materials/Textures/TX_Shelf_02a_RMA.png new file mode 100644 index 0000000000000000000000000000000000000000..b5f43425f52b1b7df8864187fd90f066dd05d81c --- /dev/null +++ b/Shelf/BP_StandardShelf13/Materials/Textures/TX_Shelf_02a_RMA.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:0792c56ecdeba9d13c38a9b3517d8de703eb683b8b21bafd63f8b1b2ed8e97b5 +size 5284138 diff --git a/Shelf/BP_StandardShelf13/Props/BackPlate.usd b/Shelf/BP_StandardShelf13/Props/BackPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..e7badcf662fde35ee99edfb67d70906602bfd887 Binary files /dev/null and b/Shelf/BP_StandardShelf13/Props/BackPlate.usd differ diff --git a/Shelf/BP_StandardShelf13/Props/BasePlate.usd b/Shelf/BP_StandardShelf13/Props/BasePlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..c54b21496f03d4fca1603a41449f9c9c30d091fd Binary files /dev/null and b/Shelf/BP_StandardShelf13/Props/BasePlate.usd differ diff --git a/Shelf/BP_StandardShelf13/Props/HorizontalPlate.usd b/Shelf/BP_StandardShelf13/Props/HorizontalPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..a16ba7e10f9712a972f9eb71399d3d62dbfc7ee9 Binary files /dev/null and b/Shelf/BP_StandardShelf13/Props/HorizontalPlate.usd differ diff --git a/Shelf/BP_StandardShelf13/instance.usd b/Shelf/BP_StandardShelf13/instance.usd new file mode 100644 index 0000000000000000000000000000000000000000..b08116a28a237c056af41a51d378f865674c3414 Binary files /dev/null and b/Shelf/BP_StandardShelf13/instance.usd differ diff --git a/Shelf/BP_StandardShelf14/Materials/M_StoreShelvings_2.mdl b/Shelf/BP_StandardShelf14/Materials/M_StoreShelvings_2.mdl new file mode 100644 index 0000000000000000000000000000000000000000..8a89a87a7cfd38aef8c0aa4159253a5588d22f7e --- /dev/null +++ b/Shelf/BP_StandardShelf14/Materials/M_StoreShelvings_2.mdl @@ -0,0 +1,60 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material M_StoreShelvings_2( + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) +[[ + dither_masked_off() +]] + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + float4 Local0 = ::unpack_normal_map(tex::lookup_float4(texture_2d("./Textures/T_StoreShelvings_2_Normal.png",::tex::gamma_linear),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat)); + + float3 Normal_mdl = float3(Local0.x,Local0.y,Local0.z); + + float4 Local1 = tex::lookup_float4(texture_2d("./Textures/T_StoreShelvings_2_BaseColor.png",::tex::gamma_srgb),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float4 Local2 = tex::lookup_float4(texture_2d("./Textures/T_StoreShelvings_2_Metallic.png",::tex::gamma_linear),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float4 Local3 = tex::lookup_float4(texture_2d("./Textures/T_StoreShelvings_2_Roughness.png",::tex::gamma_linear),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float OpacityMask_mdl = (Local1.w - 0.3333) < 0.0f ? 0.0f : 1.0f; + float3 BaseColor_mdl = float3(Local1.x,Local1.y,Local1.z); + float Metallic_mdl = float3(Local2.x,Local2.y,Local2.z).x; + float Specular_mdl = 0.5; + float Roughness_mdl = float3(Local3.x,Local3.y,Local3.z).x; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_StandardShelf14/Materials/OmniUe4Base.mdl b/Shelf/BP_StandardShelf14/Materials/OmniUe4Base.mdl new file mode 100644 index 0000000000000000000000000000000000000000..a441fbaf28040302c7aaabfbcf14b24a85bdf643 --- /dev/null +++ b/Shelf/BP_StandardShelf14/Materials/OmniUe4Base.mdl @@ -0,0 +1,224 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.0 - first version +//* 1.0.1 - merge unlit template +//* 1.0.2 - Fix EDF in the back side: the EDF contained in surface is only used for the front side and not for the back side +//* 1.0.3 - UE4 normal mapping: Geometry normal shouldn't be changed +//* 1.0.4 - using absolute import paths when importing standard modules + +mdl 1.3; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + +float emissive_multiplier() +[[ + anno::description("the multiplier to convert UE4 emissive to raw data"), + anno::noinline() +]] +{ + return 20.0f * 128.0f; +} + +float3 tangent_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in tangent space"), + anno::noinline() +]] +{ + return math::normalize( + tangent_u * normal.x - /* flip_tangent_v */ + tangent_v * normal.y + + state::normal() * (normal.z)); +} + +float3 world_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in world space"), + anno::noinline() +]] +{ + return tangent_space_normal( + math::normalize( + normal.x * float3(tangent_u.x, tangent_v.x, state::normal().x) - + normal.y * float3(tangent_u.y, tangent_v.y, state::normal().y) + + normal.z * float3(tangent_u.z, tangent_v.z, state::normal().z)), + tangent_u, + tangent_v + ); +} + +export material OmniUe4Base( + float3 base_color = float3(0.0, 0.0, 0.0), + float metallic = 0.0, + float roughness = 0.5, + float specular = 0.5, + float3 normal = float3(0.0,0.0,1.0), + float clearcoat_weight = 0.0, + float clearcoat_roughness = 0.0, + float3 clearcoat_normal = float3(0.0,0.0,1.0), + uniform bool enable_opacity = true, + float opacity = 1.0, + float3 emissive_color = float3(0.0, 0.0, 0.0), + float3 displacement = float3(0.0), + uniform bool is_tangent_space_normal = true, + uniform bool two_sided = false, + uniform bool is_unlit = false +) +[[ + anno::display_name("Omni UE4 Base"), + anno::description("Omni UE4 Base, supports UE4 default lit and clearcoat shading model"), + anno::version( 1, 0, 0), + anno::author("NVIDIA CORPORATION"), + anno::key_words(string[]("omni", "UE4", "omniverse", "lit", "clearcoat", "generic")) +]] + = let { + color final_base_color = math::saturate(base_color); + float final_metallic = math::saturate(metallic); + float final_roughness = math::saturate(roughness); + float final_specular = math::saturate(specular); + color final_emissive_color = math::max(emissive_color, 0.0f) * emissive_multiplier(); /*factor for converting ue4 emissive to raw value*/ + float final_clearcoat_weight = math::saturate(clearcoat_weight); + float final_clearcoat_roughness = math::saturate(clearcoat_roughness); + float3 final_normal = math::normalize(normal); + float3 final_clearcoat_normal = math::normalize(clearcoat_normal); + + // - compute final roughness by squaring the "roughness" parameter + float alpha = final_roughness * final_roughness; + // reduce the reflectivity at grazing angles to avoid "dark edges" for high roughness due to the layering + float grazing_refl = math::max((1.0 - final_roughness), 0.0); + + float3 the_normal = is_unlit ? state::normal() : + (is_tangent_space_normal ? + tangent_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + )); + + // for the dielectric component we layer the glossy component on top of the diffuse one, + // the glossy layer has no color tint + + bsdf dielectric_component = df::custom_curve_layer( + weight: final_specular, + normal_reflectivity: 0.08, + grazing_reflectivity: grazing_refl, + layer: df::microfacet_ggx_smith_bsdf(roughness_u: alpha), + base: df::diffuse_reflection_bsdf(tint: final_base_color), + normal: the_normal); + + // the metallic component doesn't have a diffuse component, it's only glossy + // base_color is applied to tint it + bsdf metallic_component = df::microfacet_ggx_smith_bsdf(tint: final_base_color, roughness_u: alpha); + + // final BSDF is a linear blend between dielectric and metallic component + bsdf dielectric_metal_mix = + df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: metallic_component, + weight: final_metallic), + df::bsdf_component( + component: dielectric_component, + weight: 1.0-final_metallic) + ) + ); + + // clearcoat layer + float clearcoat_grazing_refl = math::max((1.0 - final_clearcoat_roughness), 0.0); + float clearcoat_alpha = final_clearcoat_roughness * final_clearcoat_roughness; + + float3 the_clearcoat_normal = is_tangent_space_normal ? tangent_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ); + + + bsdf clearcoat = + df::custom_curve_layer( + base: df::weighted_layer( + layer: dielectric_metal_mix, + weight: 1.0, + normal: final_clearcoat_weight == 0.0 ? state::normal() : the_normal + ), + layer: df::microfacet_ggx_smith_bsdf( + roughness_u: clearcoat_alpha, + tint: color(1.0) + ), + normal_reflectivity: 0.04, + grazing_reflectivity: clearcoat_grazing_refl, + normal: the_clearcoat_normal, + weight: final_clearcoat_weight + ); + bsdf surface = is_unlit ? bsdf() : clearcoat; +} +in material( + thin_walled: two_sided, // Graphene? + surface: material_surface( + scattering: surface, + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + backface: material_surface( + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + geometry: material_geometry( + displacement: displacement, + normal: final_clearcoat_weight == 0.0 ? the_normal : state::normal(), + cutout_opacity: enable_opacity ? opacity : 1.0 + ) +); diff --git a/Shelf/BP_StandardShelf14/Materials/OmniUe4Function.mdl b/Shelf/BP_StandardShelf14/Materials/OmniUe4Function.mdl new file mode 100644 index 0000000000000000000000000000000000000000..84f4f0da48ff31d03ee611373fe3a4d2e04c9079 --- /dev/null +++ b/Shelf/BP_StandardShelf14/Materials/OmniUe4Function.mdl @@ -0,0 +1,1413 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.1 - using absolute import paths when importing standard modules + +mdl 1.6; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + + +export float3 convert_to_left_hand(float3 vec3, uniform bool up_z = true, uniform bool is_position = true) +[[ + anno::description("convert from RH to LH"), + anno::noinline() +]] +{ + float4x4 ZupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, -1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4x4 YupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4 vec4 = float4(vec3.x, vec3.y, vec3.z, is_position ? 1.0f : 0.0f); + + vec4 = vec4 * (up_z ? ZupConversion : YupConversion); + + return float3(vec4.x, vec4.y, vec4.z); +} + +export float3 transform_vector_from_tangent_to_world(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from tangent space to world space"), + anno::noinline() +]] +{ + /* flip_tangent_v */ + return convert_to_left_hand( + tangent_u * vector.x - tangent_v * vector.y + state::normal() * vector.z, + up_z, false); +} + +export float3 transform_vector_from_world_to_tangent(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from world space to tangent space"), + anno::noinline() +]] +{ + float3 vecRH = convert_to_left_hand(vector, up_z, false); + /* flip_tangent_v */ + return vecRH.x * float3(tangent_u.x, -tangent_v.x, state::normal().x) + + vecRH.y * float3(tangent_u.y, -tangent_v.y, state::normal().y) + + vecRH.z * float3(tangent_u.z, -tangent_v.z, state::normal().z); +} + +export float4 unpack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Unpack a normal stored in a normal map"), + anno::noinline() +]] +{ + float2 normal_xy = float2(texture_sample.x, texture_sample.y); + + normal_xy = normal_xy * float2(2.0,2.0) - float2(1.0,1.0); + float normal_z = math::sqrt( math::saturate( 1.0 - math::dot( normal_xy, normal_xy ) ) ); + return float4( normal_xy.x, normal_xy.y, normal_z, 1.0 ); +} + +// for get color value from normal. +export float4 pack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Pack to color from a normal") +]] +{ + float2 return_xy = float2(texture_sample.x, texture_sample.y); + + return_xy = (return_xy + float2(1.0,1.0)) / float2(2.0,2.0); + + return float4( return_xy.x, return_xy.y, 0.0, 1.0 ); +} + +export float4 greyscale_texture_lookup( + float4 texture_sample = float4(0.0, 0.0, 0.0, 1.0) + ) +[[ + anno::description("Sampling a greyscale texture"), + anno::noinline() +]] +{ + return float4(texture_sample.x, texture_sample.x, texture_sample.x, texture_sample.x); +} + +export float3 pixel_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Pixel normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 vertex_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Vertex normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 landscape_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Landscape normal in world space") +]] +{ + float3 normalFromNormalmap = math::floor((::vertex_normal_world_space(up_z) * 0.5 + 0.5) * 255.0) / 255.0 * 2.0 - 1.0; + + float2 normalXY = float2(normalFromNormalmap.x, normalFromNormalmap.y); + return float3(normalXY.x, normalXY.y, math::sqrt(math::saturate(1.0 - math::dot(normalXY, normalXY)))); +} + +// Different implementation specific between mdl and hlsl for smoothstep +export float smoothstep(float a, float b, float l) +{ + if (a < b) + { + return math::smoothstep(a, b, l); + } + else if (a > b) + { + return 1.0 - math::smoothstep(b, a, l); + } + else + { + return l <= a ? 0.0 : 1.0; + } +} + +export float2 smoothstep(float2 a, float2 b, float2 l) +{ + return float2(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y)); +} + +export float3 smoothstep(float3 a, float3 b, float3 l) +{ + return float3(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z)); +} + +export float4 smoothstep(float4 a, float4 b, float4 l) +{ + return float4(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z), smoothstep(a.w, b.w, l.w)); +} + +export float2 smoothstep(float2 a, float2 b, float l) +{ + return float2(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l)); +} + +export float3 smoothstep(float3 a, float3 b, float l) +{ + return float3(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l)); +} + +export float4 smoothstep(float4 a, float4 b, float l) +{ + return float4(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l), smoothstep(a.w, b.w, l)); +} + +export float2 smoothstep(float a, float b, float2 l) +{ + return float2(smoothstep(a, b, l.x), smoothstep(a, b, l.y)); +} + +export float3 smoothstep(float a, float b, float3 l) +{ + return float3(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z)); +} + +export float4 smoothstep(float a, float b, float4 l) +{ + return float4(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z), smoothstep(a, b, l.w)); +} + +//------------------ Random from UE4 ----------------------- +float length2(float3 v) +{ + return math::dot(v, v); +} + +float3 GetPerlinNoiseGradientTextureAt(uniform texture_2d PerlinNoiseGradientTexture, float3 v) +{ + const float2 ZShear = float2(17.0f, 89.0f); + + float2 OffsetA = v.z * ZShear; + float2 TexA = (float2(v.x, v.y) + OffsetA + 0.5f) / 128.0f; + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA.x,1.0-TexA.y),tex::wrap_repeat,tex::wrap_repeat); + return float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z) * 2.0 - 1.0; +} + +float3 SkewSimplex(float3 In) +{ + return In + math::dot(In, float3(1.0 / 3.0f) ); +} +float3 UnSkewSimplex(float3 In) +{ + return In - math::dot(In, float3(1.0 / 6.0f) ); +} + +// 3D random number generator inspired by PCGs (permuted congruential generator) +// Using a **simple** Feistel cipher in place of the usual xor shift permutation step +// @param v = 3D integer coordinate +// @return three elements w/ 16 random bits each (0-0xffff). +// ~8 ALU operations for result.x (7 mad, 1 >>) +// ~10 ALU operations for result.xy (8 mad, 2 >>) +// ~12 ALU operations for result.xyz (9 mad, 3 >>) + +//TODO: uint3 +int3 Rand3DPCG16(int3 p) +{ + // taking a signed int then reinterpreting as unsigned gives good behavior for negatives + //TODO: uint3 + int3 v = int3(p); + + // Linear congruential step. These LCG constants are from Numerical Recipies + // For additional #'s, PCG would do multiple LCG steps and scramble each on output + // So v here is the RNG state + v = v * 1664525 + 1013904223; + + // PCG uses xorshift for the final shuffle, but it is expensive (and cheap + // versions of xorshift have visible artifacts). Instead, use simple MAD Feistel steps + // + // Feistel ciphers divide the state into separate parts (usually by bits) + // then apply a series of permutation steps one part at a time. The permutations + // use a reversible operation (usually ^) to part being updated with the result of + // a permutation function on the other parts and the key. + // + // In this case, I'm using v.x, v.y and v.z as the parts, using + instead of ^ for + // the combination function, and just multiplying the other two parts (no key) for + // the permutation function. + // + // That gives a simple mad per round. + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + + // only top 16 bits are well shuffled + return v >> 16; +} + +// Wraps noise for tiling texture creation +// @param v = unwrapped texture parameter +// @param bTiling = true to tile, false to not tile +// @param RepeatSize = number of units before repeating +// @return either original or wrapped coord +float3 NoiseTileWrap(float3 v, bool bTiling, float RepeatSize) +{ + return bTiling ? (math::frac(v / RepeatSize) * RepeatSize) : v; +} + +// Evaluate polynomial to get smooth transitions for Perlin noise +// only needed by Perlin functions in this file +// scalar(per component): 2 add, 5 mul +float4 PerlinRamp(float4 t) +{ + return t * t * t * (t * (t * 6 - 15) + 10); +} + +// Blum-Blum-Shub-inspired pseudo random number generator +// http://www.umbc.edu/~olano/papers/mNoise.pdf +// real BBS uses ((s*s) mod M) with bignums and M as the product of two huge Blum primes +// instead, we use a single prime M just small enough not to overflow +// note that the above paper used 61, which fits in a half, but is unusably bad +// @param Integer valued floating point seed +// @return random number in range [0,1) +// ~8 ALU operations (5 *, 3 frac) +float RandBBSfloat(float seed) +{ + float BBS_PRIME24 = 4093.0; + float s = math::frac(seed / BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + return s; +} + +// Modified noise gradient term +// @param seed - random seed for integer lattice position +// @param offset - [-1,1] offset of evaluation point from lattice point +// @return gradient direction (xyz) and contribution (w) from this lattice point +float4 MGradient(int seed, float3 offset) +{ + //TODO uint + int rand = Rand3DPCG16(int3(seed,0,0)).x; + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1.0 / 0x4000, 1.0 / 0x2000, 1.0 / 0x1000); + float3 direction = float3(int3(rand, rand, rand) & MGradientMask) * MGradientScale - 1; + return float4(direction.x, direction.y, direction.z, math::dot(direction, offset)); +} + +// compute Perlin and related noise corner seed values +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = true to return seed values for a repeating noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @param seed000-seed111 = hash function seeds for the eight corners +// @return fractional part of v +struct SeedValue +{ + float3 fv = float3(0); + float seed000 = 0; + float seed001 = 0; + float seed010 = 0; + float seed011 = 0; + float seed100 = 0; + float seed101 = 0; + float seed110 = 0; + float seed111 = 0; +}; + +SeedValue NoiseSeeds(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds; + seeds.fv = math::frac(v); + float3 iv = math::floor(v); + + const float3 primes = float3(19, 47, 101); + + if (bTiling) + { // can't algebraically combine with primes + seeds.seed000 = math::dot(primes, NoiseTileWrap(iv, true, RepeatSize)); + seeds.seed100 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 0), true, RepeatSize)); + seeds.seed010 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 0), true, RepeatSize)); + seeds.seed110 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 0), true, RepeatSize)); + seeds.seed001 = math::dot(primes, NoiseTileWrap(iv + float3(0, 0, 1), true, RepeatSize)); + seeds.seed101 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 1), true, RepeatSize)); + seeds.seed011 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 1), true, RepeatSize)); + seeds.seed111 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 1), true, RepeatSize)); + } + else + { // get to combine offsets with multiplication by primes in this case + seeds.seed000 = math::dot(iv, primes); + seeds.seed100 = seeds.seed000 + primes.x; + seeds.seed010 = seeds.seed000 + primes.y; + seeds.seed110 = seeds.seed100 + primes.y; + seeds.seed001 = seeds.seed000 + primes.z; + seeds.seed101 = seeds.seed100 + primes.z; + seeds.seed011 = seeds.seed010 + primes.z; + seeds.seed111 = seeds.seed110 + primes.z; + } + + return seeds; +} + +struct SimplexWeights +{ + float4 Result = float4(0); + float3 PosA = float3(0); + float3 PosB = float3(0); + float3 PosC = float3(0); + float3 PosD = float3(0); +}; + +// Computed weights and sample positions for simplex interpolation +// @return float4(a,b,c, d) Barycentric coordinate defined as Filtered = Tex(PosA) * a + Tex(PosB) * b + Tex(PosC) * c + Tex(PosD) * d +SimplexWeights ComputeSimplexWeights3D(float3 OrthogonalPos) +{ + SimplexWeights weights; + float3 OrthogonalPosFloor = math::floor(OrthogonalPos); + + weights.PosA = OrthogonalPosFloor; + weights.PosB = weights.PosA + float3(1, 1, 1); + + OrthogonalPos -= OrthogonalPosFloor; + + float Largest = math::max(OrthogonalPos.x, math::max(OrthogonalPos.y, OrthogonalPos.z)); + float Smallest = math::min(OrthogonalPos.x, math::min(OrthogonalPos.y, OrthogonalPos.z)); + + weights.PosC = weights.PosA + float3(Largest == OrthogonalPos.x, Largest == OrthogonalPos.y, Largest == OrthogonalPos.z); + weights.PosD = weights.PosA + float3(Smallest != OrthogonalPos.x, Smallest != OrthogonalPos.y, Smallest != OrthogonalPos.z); + + float RG = OrthogonalPos.x - OrthogonalPos.y; + float RB = OrthogonalPos.x - OrthogonalPos.z; + float GB = OrthogonalPos.y - OrthogonalPos.z; + + weights.Result.z = + math::min(math::max(0, RG), math::max(0, RB)) // X + + math::min(math::max(0, -RG), math::max(0, GB)) // Y + + math::min(math::max(0, -RB), math::max(0, -GB)); // Z + + weights.Result.w = + math::min(math::max(0, -RG), math::max(0, -RB)) // X + + math::min(math::max(0, RG), math::max(0, -GB)) // Y + + math::min(math::max(0, RB), math::max(0, GB)); // Z + + weights.Result.y = Smallest; + weights.Result.x = 1.0f - weights.Result.y - weights.Result.z - weights.Result.w; + + return weights; +} + +// filtered 3D gradient simple noise (few texture lookups, high quality) +// @param v >0 +// @return random number in the range -1 .. 1 +float SimplexNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 EvalPos) +{ + float3 OrthogonalPos = SkewSimplex(EvalPos); + + SimplexWeights Weights = ComputeSimplexWeights3D(OrthogonalPos); + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 32 bit) + float3 A = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosA); + float3 B = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosB); + float3 C = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosC); + float3 D = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosD); + + Weights.PosA = UnSkewSimplex(Weights.PosA); + Weights.PosB = UnSkewSimplex(Weights.PosB); + Weights.PosC = UnSkewSimplex(Weights.PosC); + Weights.PosD = UnSkewSimplex(Weights.PosD); + + float DistanceWeight; + + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosA)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float a = math::dot(A, EvalPos - Weights.PosA) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosB)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float b = math::dot(B, EvalPos - Weights.PosB) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosC)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float c = math::dot(C, EvalPos - Weights.PosC) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosD)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float d = math::dot(D, EvalPos - Weights.PosD) * DistanceWeight; + + return 32 * (a + b + c + d); +} + +// filtered 3D noise, can be optimized +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 v, bool bTiling, float RepeatSize) +{ + bTiling = true; + float3 fv = math::frac(v); + float3 iv0 = NoiseTileWrap(math::floor(v), bTiling, RepeatSize); + float3 iv1 = NoiseTileWrap(iv0 + 1, bTiling, RepeatSize); + + const int2 ZShear = int2(17, 89); + + float2 OffsetA = iv0.z * ZShear; + float2 OffsetB = OffsetA + ZShear; // non-tiling, use relative offset + if (bTiling) // tiling, have to compute from wrapped coordinates + { + OffsetB = iv1.z * ZShear; + } + + // Texture size scale factor + float ts = 1 / 128.0f; + + // texture coordinates for iv0.xy, as offset for both z slices + float2 TexA0 = (float2(iv0.x, iv0.y) + OffsetA + 0.5f) * ts; + float2 TexB0 = (float2(iv0.x, iv0.y) + OffsetB + 0.5f) * ts; + + // texture coordinates for iv1.xy, as offset for both z slices + float2 TexA1 = TexA0 + ts; // for non-tiling, can compute relative to existing coordinates + float2 TexB1 = TexB0 + ts; + if (bTiling) // for tiling, need to compute from wrapped coordinates + { + TexA1 = (float2(iv1.x, iv1.y) + OffsetA + 0.5f) * ts; + TexB1 = (float2(iv1.x, iv1.y) + OffsetB + 0.5f) * ts; + } + + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 8, 16 or 32 bit) + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 A = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 B = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 C = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 D = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 E = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 F = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 G = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 H = PerlinNoiseColor * 2 - 1; + + float a = math::dot(A, fv - float3(0, 0, 0)); + float b = math::dot(B, fv - float3(1, 0, 0)); + float c = math::dot(C, fv - float3(0, 1, 0)); + float d = math::dot(D, fv - float3(1, 1, 0)); + float e = math::dot(E, fv - float3(0, 0, 1)); + float f = math::dot(F, fv - float3(1, 0, 1)); + float g = math::dot(G, fv - float3(0, 1, 1)); + float h = math::dot(H, fv - float3(1, 1, 1)); + + float4 Weights = PerlinRamp(math::frac(float4(fv.x, fv.y, fv.z, 0))); + + float i = math::lerp(math::lerp(a, b, Weights.x), math::lerp(c, d, Weights.x), Weights.y); + float j = math::lerp(math::lerp(e, f, Weights.x), math::lerp(g, h, Weights.x), Weights.y); + + return math::lerp(i, j, Weights.z); +} + +// @return random number in the range -1 .. 1 +// scalar: 6 frac, 31 mul/mad, 15 add, +float FastGradientPerlinNoise3D_TEX(uniform texture_3d PerlinNoise3DTexture, float3 xyz) +{ + // needs to be the same value when creating the PerlinNoise3D texture + float Extent = 16; + + // last texel replicated and needed for filtering + // scalar: 3 frac, 6 mul + xyz = math::frac(xyz / (Extent - 1)) * (Extent - 1); + + // scalar: 3 frac + float3 uvw = math::frac(xyz); + // = floor(xyz); + // scalar: 3 add + float3 p0 = xyz - uvw; +// float3 f = math::pow(uvw, 2) * 3.0f - math::pow(uvw, 3) * 2.0f; // original perlin hermite (ok when used without bump mapping) + // scalar: 2*3 add 5*3 mul + float4 pr = PerlinRamp(float4(uvw.x, uvw.y, uvw.z, 0)); + float3 f = float3(pr.x, pr.y, pr.z); // new, better with continues second derivative for bump mapping + // scalar: 3 add + float3 p = p0 + f; + // scalar: 3 mad + // TODO: need reverse??? + float4 NoiseSample = tex::lookup_float4(PerlinNoise3DTexture, p / Extent + 0.5f / Extent); // +0.5f to get rid of bilinear offset + + // reconstruct from 8bit (using mad with 2 constants and dot4 was same instruction count) + // scalar: 4 mad, 3 mul, 3 add + float3 n = float3(NoiseSample.x, NoiseSample.y, NoiseSample.z) * 255.0f / 127.0f - 1.0f; + float d = NoiseSample.w * 255.f - 127; + return math::dot(xyz, n) - d; +} + +// Perlin-style "Modified Noise" +// http://www.umbc.edu/~olano/papers/index.html#mNoise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = MGradient(int(seeds.seed000), seeds.fv - float3(0, 0, 0)).w; + float rand100 = MGradient(int(seeds.seed100), seeds.fv - float3(1, 0, 0)).w; + float rand010 = MGradient(int(seeds.seed010), seeds.fv - float3(0, 1, 0)).w; + float rand110 = MGradient(int(seeds.seed110), seeds.fv - float3(1, 1, 0)).w; + float rand001 = MGradient(int(seeds.seed001), seeds.fv - float3(0, 0, 1)).w; + float rand101 = MGradient(int(seeds.seed101), seeds.fv - float3(1, 0, 1)).w; + float rand011 = MGradient(int(seeds.seed011), seeds.fv - float3(0, 1, 1)).w; + float rand111 = MGradient(int(seeds.seed111), seeds.fv - float3(1, 1, 1)).w; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D value noise - used to be incorrectly called Perlin noise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float ValueNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = RandBBSfloat(seeds.seed000) * 2 - 1; + float rand100 = RandBBSfloat(seeds.seed100) * 2 - 1; + float rand010 = RandBBSfloat(seeds.seed010) * 2 - 1; + float rand110 = RandBBSfloat(seeds.seed110) * 2 - 1; + float rand001 = RandBBSfloat(seeds.seed001) * 2 - 1; + float rand101 = RandBBSfloat(seeds.seed101) * 2 - 1; + float rand011 = RandBBSfloat(seeds.seed011) * 2 - 1; + float rand111 = RandBBSfloat(seeds.seed111) * 2 - 1; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D jitter offset within a voronoi noise cell +// @param pos - integer lattice corner +// @return random offsets vector +float3 VoronoiCornerSample(float3 pos, int Quality) +{ + // random values in [-0.5, 0.5] + float3 noise = float3(Rand3DPCG16(int3(pos))) / 0xffff - 0.5; + + // quality level 1 or 2: searches a 2x2x2 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 2x2x2 search + if (Quality <= 2) + { + return math::normalize(noise) * 0.2588; + } + + // quality level 3: searches a 3x3x3 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 3x3x3 search + if (Quality == 3) + { + return math::normalize(noise) * 0.3090; + } + + // quality level 4: jitter to anywhere in the cell, needs 4x4x4 search + return noise; +} + +// compare previous best with a new candidate +// not producing point locations makes it easier for compiler to eliminate calculations when they're not needed +// @param minval = location and distance of best candidate seed point before the new one +// @param candidate = candidate seed point +// @param offset = 3D offset to new candidate seed point +// @param bDistanceOnly = if true, only set maxval.w with distance, otherwise maxval.w is distance and maxval.xyz is position +// @return position (if bDistanceOnly is false) and distance to closest seed point so far +float4 VoronoiCompare(float4 minval, float3 candidate, float3 offset, bool bDistanceOnly) +{ + if (bDistanceOnly) + { + return float4(0, 0, 0, math::min(minval.w, math::dot(offset, offset))); + } + else + { + float newdist = math::dot(offset, offset); + return newdist > minval.w ? minval : float4(candidate.x, candidate.y, candidate.z, newdist); + } +} + +// 220 instruction Worley noise +float4 VoronoiNoise3D_ALU(float3 v, int Quality, bool bTiling, float RepeatSize, bool bDistanceOnly) +{ + float3 fv = math::frac(v), fv2 = math::frac(v + 0.5); + float3 iv = math::floor(v), iv2 = math::floor(v + 0.5); + + // with initial minimum distance = infinity (or at least bigger than 4), first min is optimized away + float4 mindist = float4(0,0,0,100); + float3 p, offset; + + // quality level 3: do a 3x3x3 search + if (Quality == 3) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 1; ++offset_x) + { + for (offset_y = -1; offset_y <= 1; ++offset_y) + { + for (offset_z = -1; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + + // everybody else searches a base 2x2x2 neighborhood + else + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = 0; offset_x <= 1; ++offset_x) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // quality level 2, do extra set of points, offset by half a cell + if (Quality == 2) + { + // 467 is just an offset to a different area in the random number field to avoid similar neighbor artifacts + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize) + 467, Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + } + + // quality level 4: add extra sets of four cells in each direction + if (Quality >= 4) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 2; offset_x += 3) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + // along x axis + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along y axis + p = float3(offset.y, offset.z, offset.x) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.y, offset.z, offset.x), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along z axis + p = float3(offset.z, offset.x, offset.y) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.z, offset.x, offset.y), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + } + } + } + } + + // transform squared distance to real distance + return float4(mindist.x, mindist.y, mindist.z, math::sqrt(mindist.w)); +} + +// Coordinates for corners of a Simplex tetrahedron +// Based on McEwan et al., Efficient computation of noise in GLSL, JGT 2011 +// @param v = 3D noise argument +// @return 4 corner locations +float4x3 SimplexCorners(float3 v) +{ + // find base corner by skewing to tetrahedral space and back + float3 tet = math::floor(v + v.x/3 + v.y/3 + v.z/3); + float3 base = tet - tet.x/6 - tet.y/6 - tet.z/6; + float3 f = v - base; + + // Find offsets to other corners (McEwan did this in tetrahedral space, + // but since skew is along x=y=z axis, this works in Euclidean space too.) + float3 g = math::step(float3(f.y,f.z,f.x), float3(f.x,f.y,f.z)), h = 1 - float3(g.z, g.x, g.y); + float3 a1 = math::min(g, h) - 1.0 / 6.0, a2 = math::max(g, h) - 1.0 / 3.0; + + // four corners + return float4x3(base, base + a1, base + a2, base + 0.5); +} + +// Improved smoothing function for simplex noise +// @param f = fractional distance to four tetrahedral corners +// @return weight for each corner +float4 SimplexSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + return (1 * scale + s*(-3 * scale + s*(3 * scale - s*scale))); +} + +// Derivative of simplex noise smoothing function +// @param f = fractional distanc eto four tetrahedral corners +// @return derivative of smoothing function for each corner by x, y and z +float3x4 SimplexDSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + s = -12 * scale + s*(24 * scale - s * 12 * scale); + + return float3x4( + s * float4(f[0][0], f[1][0], f[2][0], f[3][0]), + s * float4(f[0][1], f[1][1], f[2][1], f[3][1]), + s * float4(f[0][2], f[1][2], f[2][2], f[3][2])); +} + +// Simplex noise and its Jacobian derivative +// @param v = 3D noise argument +// @param bTiling = whether to repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension, must be a multiple of 3 +// @return float3x3 Jacobian in J[*].xyz, vector noise in J[*].w +// J[0].w, J[1].w, J[2].w is a Perlin-style simplex noise with vector output, e.g. (Nx, Ny, Nz) +// J[i].x is X derivative of the i'th component of the noise so J[2].x is dNz/dx +// You can use this to compute the noise, gradient, curl, or divergence: +// float3x4 J = JacobianSimplex_ALU(...); +// float3 VNoise = float3(J[0].w, J[1].w, J[2].w); // 3D noise +// float3 Grad = J[0].xyz; // gradient of J[0].w +// float3 Curl = float3(J[1][2]-J[2][1], J[2][0]-J[0][2], J[0][1]-J[1][2]); +// float Div = J[0][0]+J[1][1]+J[2][2]; +// All of these are confirmed to compile out all unneeded terms. +// So Grad of X doesn't compute Y or Z components, and VNoise doesn't do any of the derivative computation. +float3x4 JacobianSimplex_ALU(float3 v, bool bTiling, float RepeatSize) +{ + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1. / 0x4000, 1. / 0x2000, 1. / 0x1000); + + // corners of tetrahedron + float4x3 T = SimplexCorners(v); + // TODO: uint3 + int3 rand = int3(0); + float4x3 gvec0 = float4x3(1.0); + float4x3 gvec1 = float4x3(1.0); + float4x3 gvec2 = float4x3(1.0); + float4x3 fv = float4x3(1.0); + float3x4 grad = float3x4(1.0); + + // processing of tetrahedral vertices, unrolled + // to compute gradient at each corner + fv[0] = v - T[0]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[0] + 0.5, bTiling, RepeatSize)))); + gvec0[0] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[0] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[0] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][0] = math::dot(gvec0[0], fv[0]); + grad[1][0] = math::dot(gvec1[0], fv[0]); + grad[2][0] = math::dot(gvec2[0], fv[0]); + + fv[1] = v - T[1]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[1] + 0.5, bTiling, RepeatSize)))); + gvec0[1] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][1] = math::dot(gvec0[1], fv[1]); + grad[1][1] = math::dot(gvec1[1], fv[1]); + grad[2][1] = math::dot(gvec2[1], fv[1]); + + fv[2] = v - T[2]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[2] + 0.5, bTiling, RepeatSize)))); + gvec0[2] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[2] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[2] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][2] = math::dot(gvec0[2], fv[2]); + grad[1][2] = math::dot(gvec1[2], fv[2]); + grad[2][2] = math::dot(gvec2[2], fv[2]); + + fv[3] = v - T[3]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[3] + 0.5, bTiling, RepeatSize)))); + gvec0[3] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[3] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[3] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][3] = math::dot(gvec0[3], fv[3]); + grad[1][3] = math::dot(gvec1[3], fv[3]); + grad[2][3] = math::dot(gvec2[3], fv[3]); + + // blend gradients + float4 sv = SimplexSmooth(fv); + float3x4 ds = SimplexDSmooth(fv); + + float3x4 jacobian = float3x4(1.0); + float3 vec0 = gvec0*sv + grad[0]*ds; // NOTE: mdl is column major, convert from UE4 (row major) + jacobian[0] = float4(vec0.x, vec0.y, vec0.z, math::dot(sv, grad[0])); + float3 vec1 = gvec1*sv + grad[1]*ds; + jacobian[1] = float4(vec1.x, vec1.y, vec1.z, math::dot(sv, grad[1])); + float3 vec2 = gvec2*sv + grad[2]*ds; + jacobian[2] = float4(vec2.x, vec2.y, vec2.z, math::dot(sv, grad[2])); + + return jacobian; +} + +// While RepeatSize is a float here, the expectation is that it would be largely integer values coming in from the UI. The downstream logic assumes +// floats for all called functions (NoiseTileWrap) and this prevents any float-to-int conversion errors from automatic type conversion. +float Noise3D_Multiplexer(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, int Function, float3 Position, int Quality, bool bTiling, float RepeatSize) +{ + // verified, HLSL compiled out the switch if Function is a constant + switch(Function) + { + case 0: + return SimplexNoise3D_TEX(PerlinNoiseGradientTexture, Position); + case 1: + return GradientNoise3D_TEX(PerlinNoiseGradientTexture, Position, bTiling, RepeatSize); + case 2: + return FastGradientPerlinNoise3D_TEX(PerlinNoise3DTexture, Position); + case 3: + return GradientNoise3D_ALU(Position, bTiling, RepeatSize); + case 4: + return ValueNoise3D_ALU(Position, bTiling, RepeatSize); + case 5: + return VoronoiNoise3D_ALU(Position, Quality, bTiling, RepeatSize, true).w * 2.0 - 1.0; + } + return 0; +} +//---------------------------------------------------------- + +export float noise(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, float3 Position, float Scale, float Quality, float Function, float Turbulence, float Levels, float OutputMin, float OutputMax, float LevelScale, float FilterWidth, float Tiling, float RepeatSize) +[[ + anno::description("Noise"), + anno::noinline() +]] +{ + Position *= Scale; + FilterWidth *= Scale; + + float Out = 0.0f; + float OutScale = 1.0f; + float InvLevelScale = 1.0f / LevelScale; + + int iFunction(Function); + int iQuality(Quality); + int iLevels(Levels); + bool bTurbulence(Turbulence); + bool bTiling(Tiling); + + for(int i = 0; i < iLevels; ++i) + { + // fade out noise level that are too high frequent (not done through dynamic branching as it usually requires gradient instructions) + OutScale *= math::saturate(1.0 - FilterWidth); + + if(bTurbulence) + { + Out += math::abs(Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize)) * OutScale; + } + else + { + Out += Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize) * OutScale; + } + + Position *= LevelScale; + RepeatSize *= LevelScale; + OutScale *= InvLevelScale; + FilterWidth *= LevelScale; + } + + if(!bTurbulence) + { + // bring -1..1 to 0..1 range + Out = Out * 0.5f + 0.5f; + } + + // Out is in 0..1 range + return math::lerp(OutputMin, OutputMax, Out); +} + +// Material node for noise functions returning a vector value +// @param LevelScale usually 2 but higher values allow efficient use of few levels +// @return in user defined range (OutputMin..OutputMax) +export float4 vector4_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise"), + anno::noinline() +]] +{ + float4 result = float4(0,0,0,1); + float3 ret = float3(0); + int iQuality = int(Quality); + int iFunction = int(Function); + bool bTiling = Tiling > 0.0; + + float3x4 Jacobian = JacobianSimplex_ALU(Position, bTiling, TileSize); // compiled out if not used + + // verified, HLSL compiled out the switch if Function is a constant + switch (iFunction) + { + case 0: // Cellnoise + ret = float3(Rand3DPCG16(int3(math::floor(NoiseTileWrap(Position, bTiling, TileSize))))) / 0xffff; + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 1: // Color noise + ret = float3(Jacobian[0].w, Jacobian[1].w, Jacobian[2].w); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 2: // Gradient + result = Jacobian[0]; + break; + case 3: // Curl + ret = float3(Jacobian[2][1] - Jacobian[1][2], Jacobian[0][2] - Jacobian[2][0], Jacobian[1][0] - Jacobian[0][1]); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 4: // Voronoi + result = VoronoiNoise3D_ALU(Position, iQuality, bTiling, TileSize, false); + break; + } + return result; +} + +export float3 vector3_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise float3 version"), + anno::noinline() +]] +{ + float4 noise = vector4_noise(Position, Quality, Function, Tiling, TileSize); + return float3(noise.x, noise.y, noise.z); +} + + +// workaround for ue4 fresnel (without supporting for camera vector) : replacing it with 0.0, means facing to the view +export float fresnel(float exponent [[anno::unused()]], float base_reflect_fraction [[anno::unused()]], float3 normal [[anno::unused()]]) +[[ + anno::description("Fresnel"), + anno::noinline() +]] +{ + return 0.0; +} + +export float fresnel_function(float3 normal_vector [[anno::unused()]], float3 camera_vector [[anno::unused()]], + bool invert_fresnel [[anno::unused()]], float power [[anno::unused()]], + bool use_cheap_contrast [[anno::unused()]], float cheap_contrast_dark [[anno::unused()]], float cheap_contrast_bright [[anno::unused()]], + bool clamp_fresnel_dot_product [[anno::unused()]]) +[[ + anno::description("Fresnel Function"), + anno::noinline() +]] +{ + return 0.0; +} + +export float3 camera_vector(uniform bool up_z = true) +[[ + anno::description("Camera Vector"), + anno::noinline() +]] +{ + // assume camera postion is 0,0,0 + return math::normalize(float3(0) - convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)); +} + +export float pixel_depth() +[[ + anno::description("Pixel Depth"), + anno::noinline() +]] +{ + return 256.0f; +} + +export float scene_depth() +[[ + anno::description("Scene Depth") +]] +{ + return 65500.0f; +} + +export float3 scene_color() +[[ + anno::description("Scene Color") +]] +{ + return float3(1.0f); +} + +export float4 vertex_color() +[[ + anno::description("Vertex Color"), + anno::noinline() +]] +{ + return float4(1.0f); +} + +export float4 vertex_color_from_coordinate(int VertexColorCoordinateIndex) +[[ + anno::description("Vertex Color for float2 PrimVar"), + anno::noinline() +]] +{ + // Kit only supports 4 uv sets, 2 uvs are available to vertex color. if vertex color index is invalid, output the constant WHITE color intead + return (VertexColorCoordinateIndex > 2) ? float4(1.0f) : float4(state::texture_coordinate(VertexColorCoordinateIndex).x, state::texture_coordinate(VertexColorCoordinateIndex).y, state::texture_coordinate(VertexColorCoordinateIndex+1).x, state::texture_coordinate(VertexColorCoordinateIndex+1).y); +} + +export float3 camera_position() +[[ + anno::description("Camera Position"), + anno::noinline() +]] +{ + return float3(1000.0f, 0, 0); +} + +export float3 rotate_about_axis(float4 NormalizedRotationAxisAndAngle, float3 PositionOnAxis, float3 Position) +[[ + anno::description("Rotates Position about the given axis by the given angle") +]] +{ + // Project Position onto the rotation axis and find the closest point on the axis to Position + float3 NormalizedRotationAxis = float3(NormalizedRotationAxisAndAngle.x,NormalizedRotationAxisAndAngle.y,NormalizedRotationAxisAndAngle.z); + float3 ClosestPointOnAxis = PositionOnAxis + NormalizedRotationAxis * math::dot(NormalizedRotationAxis, Position - PositionOnAxis); + // Construct orthogonal axes in the plane of the rotation + float3 UAxis = Position - ClosestPointOnAxis; + float3 VAxis = math::cross(NormalizedRotationAxis, UAxis); + float[2] SinCosAngle = math::sincos(NormalizedRotationAxisAndAngle.w); + // Rotate using the orthogonal axes + float3 R = UAxis * SinCosAngle[1] + VAxis * SinCosAngle[0]; + // Reconstruct the rotated world space position + float3 RotatedPosition = ClosestPointOnAxis + R; + // Convert from position to a position offset + return RotatedPosition - Position; +} + +export float2 rotate_scale_offset_texcoords(float2 InTexCoords, float4 InRotationScale, float2 InOffset) +[[ + anno::description("Returns a float2 texture coordinate after 2x2 transform and offset applied") +]] +{ + return float2(math::dot(InTexCoords, float2(InRotationScale.x, InRotationScale.y)), math::dot(InTexCoords, float2(InRotationScale.z, InRotationScale.w))) + InOffset; +} + +export float3 reflection_custom_world_normal(float3 WorldNormal, bool bNormalizeInputNormal, uniform bool up_z = true) +[[ + anno::description("Reflection vector about the specified world space normal") +]] +{ + if (bNormalizeInputNormal) + { + WorldNormal = math::normalize(WorldNormal); + } + + return -camera_vector(up_z) + WorldNormal * math::dot(WorldNormal, camera_vector(up_z)) * 2.0; +} + +export float3 reflection_vector(uniform bool up_z = true) +[[ + anno::description("Reflection Vector"), + anno::noinline() +]] +{ + float3 normal = convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); + return reflection_custom_world_normal(normal, false, up_z); +} + +export float dither_temporalAA(float AlphaThreshold = 0.5f, float Random = 1.0f [[anno::unused()]]) +[[ + anno::description("Dither TemporalAA"), + anno::noinline() +]] +{ + return AlphaThreshold; +} + +export float3 black_body( float Temp ) +[[ + anno::description("Black Body"), + anno::noinline() +]] +{ + float u = ( 0.860117757f + 1.54118254e-4f * Temp + 1.28641212e-7f * Temp*Temp ) / ( 1.0f + 8.42420235e-4f * Temp + 7.08145163e-7f * Temp*Temp ); + float v = ( 0.317398726f + 4.22806245e-5f * Temp + 4.20481691e-8f * Temp*Temp ) / ( 1.0f - 2.89741816e-5f * Temp + 1.61456053e-7f * Temp*Temp ); + + float x = 3*u / ( 2*u - 8*v + 4 ); + float y = 2*v / ( 2*u - 8*v + 4 ); + float z = 1 - x - y; + + float Y = 1; + float X = Y/y * x; + float Z = Y/y * z; + + float3x3 XYZtoRGB = float3x3( + float3(3.2404542, -1.5371385, -0.4985314), + float3(-0.9692660, 1.8760108, 0.0415560), + float3(0.0556434, -0.2040259, 1.0572252) + ); + + return XYZtoRGB * float3( X, Y, Z ) * math::pow( 0.0004 * Temp, 4 ); +} + +export float per_instance_random(uniform texture_2d PerlinNoiseGradientTexture, int NumberInstances) +[[ + anno::description("Per Instance Random"), + anno::noinline() +]] +{ + float weight = state::object_id() / float(NumberInstances); + return NumberInstances == 0 ? 0.0 : tex::lookup_float4(PerlinNoiseGradientTexture, float2(weight, 1.0 - weight), tex::wrap_repeat, tex::wrap_repeat).x; +} + +//------------------ Hair from UE4 ----------------------- +float3 hair_absorption_to_color(float3 A) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::exp(-math::sqrt(A) * D); +} + +float3 hair_color_to_absorption(float3 C) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::pow(math::log(C) / D, 2.0f); +} + +export float3 get_hair_color_from_melanin(float InMelanin, float InRedness, float3 InDyeColor) +[[ + anno::description("Hair Color") +]] +{ + InMelanin = math::saturate(InMelanin); + InRedness = math::saturate(InRedness); + float Melanin = -math::log(math::max(1 - InMelanin, 0.0001f)); + float Eumelanin = Melanin * (1 - InRedness); + float Pheomelanin = Melanin * InRedness; + + float3 DyeAbsorption = hair_color_to_absorption(math::saturate(InDyeColor)); + float3 Absorption = Eumelanin * float3(0.506f, 0.841f, 1.653f) + Pheomelanin * float3(0.343f, 0.733f, 1.924f); + + return hair_absorption_to_color(Absorption + DyeAbsorption); +} + +export float3 local_object_bounds_min() +[[ + anno::description("Local Object Bounds Min"), + anno::noinline() +]] +{ + return float3(0.0); +} + +export float3 local_object_bounds_max() +[[ + anno::description("Local Object Bounds Max"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float3 object_bounds() +[[ + anno::description("Object Bounds"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float object_radius() +[[ + anno::description("Object Radius"), + anno::noinline() +]] +{ + return 100.0f; +} + +export float3 object_world_position(uniform bool up_z = true) +[[ + anno::description("Object World Position"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)*state::meters_per_scene_unit()*100.0; +} + +export float3 object_orientation() +[[ + anno::description("Object Orientation"), + anno::noinline() +]] +{ + return float3(0); +} + +export float rcp(float x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float2 rcp(float2 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float3 rcp(float3 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float4 rcp(float4 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export int BitFieldExtractI32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractI32 int"), + anno::noinline() +]] +{ + Size &= 3; + Offset &= 3; + + if (Size == 0) + return 0; + else if (Offset + Size < 32) + return (Data << (32 - Size - Offset)) >> (32 - Size); + else + return Data >> Offset; +} + +export int BitFieldExtractI32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractI32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(int(Data), int(Size), int(Offset)); +} + +export int BitFieldExtractU32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractU32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export int BitFieldExtractU32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractU32 int"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export float3 EyeAdaptationInverseLookup(float3 LightValue, float Alpha) +[[ + anno::description("EyeAdaptationInverseLookup"), + anno::noinline() +]] +{ + float Adaptation = 1.0f; + + // When Alpha=0.0, we want to multiply by 1.0. when Alpha = 1.0, we want to multiply by 1/Adaptation. + // So the lerped value is: + // LerpLogScale = Lerp(log(1),log(1/Adaptaiton),T) + // Which is simplified as: + // LerpLogScale = Lerp(0,-log(Adaptation),T) + // LerpLogScale = -T * logAdaptation; + + float LerpLogScale = -Alpha * math::log(Adaptation); + float Scale = math::exp(LerpLogScale); + return LightValue * Scale; +} diff --git a/Shelf/BP_StandardShelf14/Materials/Textures/T_StoreShelvings_2_AO.png b/Shelf/BP_StandardShelf14/Materials/Textures/T_StoreShelvings_2_AO.png new file mode 100644 index 0000000000000000000000000000000000000000..ec99febaf6ad4c625fb14ef2ec33f85de0ec7560 --- /dev/null +++ b/Shelf/BP_StandardShelf14/Materials/Textures/T_StoreShelvings_2_AO.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:07aafd42707e2344c9c1a740d23775e431fbd03416f9d4d5ad0255d4dd13b791 +size 6858095 diff --git a/Shelf/BP_StandardShelf14/Materials/Textures/T_StoreShelvings_2_Metallic.png b/Shelf/BP_StandardShelf14/Materials/Textures/T_StoreShelvings_2_Metallic.png new file mode 100644 index 0000000000000000000000000000000000000000..961b98a23f7f3d6654d684d3c7a68414a6d9d796 --- /dev/null +++ b/Shelf/BP_StandardShelf14/Materials/Textures/T_StoreShelvings_2_Metallic.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:b2017ed74cafd8cba3d1d5ae9600b1a5f543fbe21488578cf9ee3b341005c9f1 +size 89351 diff --git a/Shelf/BP_StandardShelf14/Materials/Textures/T_StoreShelvings_2_Roughness.png b/Shelf/BP_StandardShelf14/Materials/Textures/T_StoreShelvings_2_Roughness.png new file mode 100644 index 0000000000000000000000000000000000000000..876f7b108b9fe440d4274838c29e519a40b64e04 --- /dev/null +++ b/Shelf/BP_StandardShelf14/Materials/Textures/T_StoreShelvings_2_Roughness.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:c4112e75f04fc70fc58a4a51eb18dcfcfb5fd0a13005b76d2ee6405e200ecdc0 +size 6920404 diff --git a/Shelf/BP_StandardShelf14/Props/BackPlate.usd b/Shelf/BP_StandardShelf14/Props/BackPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..9902e31c5e65a92eb64546e6d2c8256f09c78a45 Binary files /dev/null and b/Shelf/BP_StandardShelf14/Props/BackPlate.usd differ diff --git a/Shelf/BP_StandardShelf14/Props/BasePlate.usd b/Shelf/BP_StandardShelf14/Props/BasePlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..b7be2b901de3a95b88c27609877f0ef178f380e7 Binary files /dev/null and b/Shelf/BP_StandardShelf14/Props/BasePlate.usd differ diff --git a/Shelf/BP_StandardShelf14/Props/HorizontalPlate.usd b/Shelf/BP_StandardShelf14/Props/HorizontalPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..e4c1ff6bbc1eafa6692ba0088d3e3393152eb069 Binary files /dev/null and b/Shelf/BP_StandardShelf14/Props/HorizontalPlate.usd differ diff --git a/Shelf/BP_StandardShelf14/instance.usd b/Shelf/BP_StandardShelf14/instance.usd new file mode 100644 index 0000000000000000000000000000000000000000..ccdb0cb5a09d241d6cb886d203843d40f84166c0 Binary files /dev/null and b/Shelf/BP_StandardShelf14/instance.usd differ diff --git a/Shelf/BP_StandardShelf15/Materials/M_Plywood.mdl b/Shelf/BP_StandardShelf15/Materials/M_Plywood.mdl new file mode 100644 index 0000000000000000000000000000000000000000..9e03bda31ecd26702f962a9c83b8428bde6d4a46 --- /dev/null +++ b/Shelf/BP_StandardShelf15/Materials/M_Plywood.mdl @@ -0,0 +1,57 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material M_Plywood( + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + float4 Local0 = ::unpack_normal_map(tex::lookup_float4(texture_2d("./Textures/T_Plywood_normal.png",::tex::gamma_linear),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat)); + + float3 Normal_mdl = float3(Local0.x,Local0.y,Local0.z); + + float4 Local1 = tex::lookup_float4(texture_2d("./Textures/T_Plywood_basecolor.png",::tex::gamma_srgb),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float4 Local2 = tex::lookup_float4(texture_2d("./Textures/T_Plywood_metallic.png",::tex::gamma_linear),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float4 Local3 = tex::lookup_float4(texture_2d("./Textures/T_Plywood_roughness.png",::tex::gamma_linear),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float OpacityMask_mdl = 1.0; + float3 BaseColor_mdl = float3(Local1.x,Local1.y,Local1.z); + float Metallic_mdl = float3(Local2.x,Local2.y,Local2.z).x; + float Specular_mdl = 0.5; + float Roughness_mdl = float3(Local3.x,Local3.y,Local3.z).x; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_StandardShelf15/Materials/M_StoreShelvings_2.mdl b/Shelf/BP_StandardShelf15/Materials/M_StoreShelvings_2.mdl new file mode 100644 index 0000000000000000000000000000000000000000..8a89a87a7cfd38aef8c0aa4159253a5588d22f7e --- /dev/null +++ b/Shelf/BP_StandardShelf15/Materials/M_StoreShelvings_2.mdl @@ -0,0 +1,60 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material M_StoreShelvings_2( + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) +[[ + dither_masked_off() +]] + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + float4 Local0 = ::unpack_normal_map(tex::lookup_float4(texture_2d("./Textures/T_StoreShelvings_2_Normal.png",::tex::gamma_linear),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat)); + + float3 Normal_mdl = float3(Local0.x,Local0.y,Local0.z); + + float4 Local1 = tex::lookup_float4(texture_2d("./Textures/T_StoreShelvings_2_BaseColor.png",::tex::gamma_srgb),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float4 Local2 = tex::lookup_float4(texture_2d("./Textures/T_StoreShelvings_2_Metallic.png",::tex::gamma_linear),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float4 Local3 = tex::lookup_float4(texture_2d("./Textures/T_StoreShelvings_2_Roughness.png",::tex::gamma_linear),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float OpacityMask_mdl = (Local1.w - 0.3333) < 0.0f ? 0.0f : 1.0f; + float3 BaseColor_mdl = float3(Local1.x,Local1.y,Local1.z); + float Metallic_mdl = float3(Local2.x,Local2.y,Local2.z).x; + float Specular_mdl = 0.5; + float Roughness_mdl = float3(Local3.x,Local3.y,Local3.z).x; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_StandardShelf15/Materials/OmniUe4Base.mdl b/Shelf/BP_StandardShelf15/Materials/OmniUe4Base.mdl new file mode 100644 index 0000000000000000000000000000000000000000..a441fbaf28040302c7aaabfbcf14b24a85bdf643 --- /dev/null +++ b/Shelf/BP_StandardShelf15/Materials/OmniUe4Base.mdl @@ -0,0 +1,224 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.0 - first version +//* 1.0.1 - merge unlit template +//* 1.0.2 - Fix EDF in the back side: the EDF contained in surface is only used for the front side and not for the back side +//* 1.0.3 - UE4 normal mapping: Geometry normal shouldn't be changed +//* 1.0.4 - using absolute import paths when importing standard modules + +mdl 1.3; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + +float emissive_multiplier() +[[ + anno::description("the multiplier to convert UE4 emissive to raw data"), + anno::noinline() +]] +{ + return 20.0f * 128.0f; +} + +float3 tangent_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in tangent space"), + anno::noinline() +]] +{ + return math::normalize( + tangent_u * normal.x - /* flip_tangent_v */ + tangent_v * normal.y + + state::normal() * (normal.z)); +} + +float3 world_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in world space"), + anno::noinline() +]] +{ + return tangent_space_normal( + math::normalize( + normal.x * float3(tangent_u.x, tangent_v.x, state::normal().x) - + normal.y * float3(tangent_u.y, tangent_v.y, state::normal().y) + + normal.z * float3(tangent_u.z, tangent_v.z, state::normal().z)), + tangent_u, + tangent_v + ); +} + +export material OmniUe4Base( + float3 base_color = float3(0.0, 0.0, 0.0), + float metallic = 0.0, + float roughness = 0.5, + float specular = 0.5, + float3 normal = float3(0.0,0.0,1.0), + float clearcoat_weight = 0.0, + float clearcoat_roughness = 0.0, + float3 clearcoat_normal = float3(0.0,0.0,1.0), + uniform bool enable_opacity = true, + float opacity = 1.0, + float3 emissive_color = float3(0.0, 0.0, 0.0), + float3 displacement = float3(0.0), + uniform bool is_tangent_space_normal = true, + uniform bool two_sided = false, + uniform bool is_unlit = false +) +[[ + anno::display_name("Omni UE4 Base"), + anno::description("Omni UE4 Base, supports UE4 default lit and clearcoat shading model"), + anno::version( 1, 0, 0), + anno::author("NVIDIA CORPORATION"), + anno::key_words(string[]("omni", "UE4", "omniverse", "lit", "clearcoat", "generic")) +]] + = let { + color final_base_color = math::saturate(base_color); + float final_metallic = math::saturate(metallic); + float final_roughness = math::saturate(roughness); + float final_specular = math::saturate(specular); + color final_emissive_color = math::max(emissive_color, 0.0f) * emissive_multiplier(); /*factor for converting ue4 emissive to raw value*/ + float final_clearcoat_weight = math::saturate(clearcoat_weight); + float final_clearcoat_roughness = math::saturate(clearcoat_roughness); + float3 final_normal = math::normalize(normal); + float3 final_clearcoat_normal = math::normalize(clearcoat_normal); + + // - compute final roughness by squaring the "roughness" parameter + float alpha = final_roughness * final_roughness; + // reduce the reflectivity at grazing angles to avoid "dark edges" for high roughness due to the layering + float grazing_refl = math::max((1.0 - final_roughness), 0.0); + + float3 the_normal = is_unlit ? state::normal() : + (is_tangent_space_normal ? + tangent_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + )); + + // for the dielectric component we layer the glossy component on top of the diffuse one, + // the glossy layer has no color tint + + bsdf dielectric_component = df::custom_curve_layer( + weight: final_specular, + normal_reflectivity: 0.08, + grazing_reflectivity: grazing_refl, + layer: df::microfacet_ggx_smith_bsdf(roughness_u: alpha), + base: df::diffuse_reflection_bsdf(tint: final_base_color), + normal: the_normal); + + // the metallic component doesn't have a diffuse component, it's only glossy + // base_color is applied to tint it + bsdf metallic_component = df::microfacet_ggx_smith_bsdf(tint: final_base_color, roughness_u: alpha); + + // final BSDF is a linear blend between dielectric and metallic component + bsdf dielectric_metal_mix = + df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: metallic_component, + weight: final_metallic), + df::bsdf_component( + component: dielectric_component, + weight: 1.0-final_metallic) + ) + ); + + // clearcoat layer + float clearcoat_grazing_refl = math::max((1.0 - final_clearcoat_roughness), 0.0); + float clearcoat_alpha = final_clearcoat_roughness * final_clearcoat_roughness; + + float3 the_clearcoat_normal = is_tangent_space_normal ? tangent_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ); + + + bsdf clearcoat = + df::custom_curve_layer( + base: df::weighted_layer( + layer: dielectric_metal_mix, + weight: 1.0, + normal: final_clearcoat_weight == 0.0 ? state::normal() : the_normal + ), + layer: df::microfacet_ggx_smith_bsdf( + roughness_u: clearcoat_alpha, + tint: color(1.0) + ), + normal_reflectivity: 0.04, + grazing_reflectivity: clearcoat_grazing_refl, + normal: the_clearcoat_normal, + weight: final_clearcoat_weight + ); + bsdf surface = is_unlit ? bsdf() : clearcoat; +} +in material( + thin_walled: two_sided, // Graphene? + surface: material_surface( + scattering: surface, + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + backface: material_surface( + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + geometry: material_geometry( + displacement: displacement, + normal: final_clearcoat_weight == 0.0 ? the_normal : state::normal(), + cutout_opacity: enable_opacity ? opacity : 1.0 + ) +); diff --git a/Shelf/BP_StandardShelf15/Materials/OmniUe4Function.mdl b/Shelf/BP_StandardShelf15/Materials/OmniUe4Function.mdl new file mode 100644 index 0000000000000000000000000000000000000000..84f4f0da48ff31d03ee611373fe3a4d2e04c9079 --- /dev/null +++ b/Shelf/BP_StandardShelf15/Materials/OmniUe4Function.mdl @@ -0,0 +1,1413 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.1 - using absolute import paths when importing standard modules + +mdl 1.6; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + + +export float3 convert_to_left_hand(float3 vec3, uniform bool up_z = true, uniform bool is_position = true) +[[ + anno::description("convert from RH to LH"), + anno::noinline() +]] +{ + float4x4 ZupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, -1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4x4 YupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4 vec4 = float4(vec3.x, vec3.y, vec3.z, is_position ? 1.0f : 0.0f); + + vec4 = vec4 * (up_z ? ZupConversion : YupConversion); + + return float3(vec4.x, vec4.y, vec4.z); +} + +export float3 transform_vector_from_tangent_to_world(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from tangent space to world space"), + anno::noinline() +]] +{ + /* flip_tangent_v */ + return convert_to_left_hand( + tangent_u * vector.x - tangent_v * vector.y + state::normal() * vector.z, + up_z, false); +} + +export float3 transform_vector_from_world_to_tangent(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from world space to tangent space"), + anno::noinline() +]] +{ + float3 vecRH = convert_to_left_hand(vector, up_z, false); + /* flip_tangent_v */ + return vecRH.x * float3(tangent_u.x, -tangent_v.x, state::normal().x) + + vecRH.y * float3(tangent_u.y, -tangent_v.y, state::normal().y) + + vecRH.z * float3(tangent_u.z, -tangent_v.z, state::normal().z); +} + +export float4 unpack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Unpack a normal stored in a normal map"), + anno::noinline() +]] +{ + float2 normal_xy = float2(texture_sample.x, texture_sample.y); + + normal_xy = normal_xy * float2(2.0,2.0) - float2(1.0,1.0); + float normal_z = math::sqrt( math::saturate( 1.0 - math::dot( normal_xy, normal_xy ) ) ); + return float4( normal_xy.x, normal_xy.y, normal_z, 1.0 ); +} + +// for get color value from normal. +export float4 pack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Pack to color from a normal") +]] +{ + float2 return_xy = float2(texture_sample.x, texture_sample.y); + + return_xy = (return_xy + float2(1.0,1.0)) / float2(2.0,2.0); + + return float4( return_xy.x, return_xy.y, 0.0, 1.0 ); +} + +export float4 greyscale_texture_lookup( + float4 texture_sample = float4(0.0, 0.0, 0.0, 1.0) + ) +[[ + anno::description("Sampling a greyscale texture"), + anno::noinline() +]] +{ + return float4(texture_sample.x, texture_sample.x, texture_sample.x, texture_sample.x); +} + +export float3 pixel_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Pixel normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 vertex_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Vertex normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 landscape_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Landscape normal in world space") +]] +{ + float3 normalFromNormalmap = math::floor((::vertex_normal_world_space(up_z) * 0.5 + 0.5) * 255.0) / 255.0 * 2.0 - 1.0; + + float2 normalXY = float2(normalFromNormalmap.x, normalFromNormalmap.y); + return float3(normalXY.x, normalXY.y, math::sqrt(math::saturate(1.0 - math::dot(normalXY, normalXY)))); +} + +// Different implementation specific between mdl and hlsl for smoothstep +export float smoothstep(float a, float b, float l) +{ + if (a < b) + { + return math::smoothstep(a, b, l); + } + else if (a > b) + { + return 1.0 - math::smoothstep(b, a, l); + } + else + { + return l <= a ? 0.0 : 1.0; + } +} + +export float2 smoothstep(float2 a, float2 b, float2 l) +{ + return float2(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y)); +} + +export float3 smoothstep(float3 a, float3 b, float3 l) +{ + return float3(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z)); +} + +export float4 smoothstep(float4 a, float4 b, float4 l) +{ + return float4(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z), smoothstep(a.w, b.w, l.w)); +} + +export float2 smoothstep(float2 a, float2 b, float l) +{ + return float2(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l)); +} + +export float3 smoothstep(float3 a, float3 b, float l) +{ + return float3(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l)); +} + +export float4 smoothstep(float4 a, float4 b, float l) +{ + return float4(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l), smoothstep(a.w, b.w, l)); +} + +export float2 smoothstep(float a, float b, float2 l) +{ + return float2(smoothstep(a, b, l.x), smoothstep(a, b, l.y)); +} + +export float3 smoothstep(float a, float b, float3 l) +{ + return float3(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z)); +} + +export float4 smoothstep(float a, float b, float4 l) +{ + return float4(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z), smoothstep(a, b, l.w)); +} + +//------------------ Random from UE4 ----------------------- +float length2(float3 v) +{ + return math::dot(v, v); +} + +float3 GetPerlinNoiseGradientTextureAt(uniform texture_2d PerlinNoiseGradientTexture, float3 v) +{ + const float2 ZShear = float2(17.0f, 89.0f); + + float2 OffsetA = v.z * ZShear; + float2 TexA = (float2(v.x, v.y) + OffsetA + 0.5f) / 128.0f; + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA.x,1.0-TexA.y),tex::wrap_repeat,tex::wrap_repeat); + return float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z) * 2.0 - 1.0; +} + +float3 SkewSimplex(float3 In) +{ + return In + math::dot(In, float3(1.0 / 3.0f) ); +} +float3 UnSkewSimplex(float3 In) +{ + return In - math::dot(In, float3(1.0 / 6.0f) ); +} + +// 3D random number generator inspired by PCGs (permuted congruential generator) +// Using a **simple** Feistel cipher in place of the usual xor shift permutation step +// @param v = 3D integer coordinate +// @return three elements w/ 16 random bits each (0-0xffff). +// ~8 ALU operations for result.x (7 mad, 1 >>) +// ~10 ALU operations for result.xy (8 mad, 2 >>) +// ~12 ALU operations for result.xyz (9 mad, 3 >>) + +//TODO: uint3 +int3 Rand3DPCG16(int3 p) +{ + // taking a signed int then reinterpreting as unsigned gives good behavior for negatives + //TODO: uint3 + int3 v = int3(p); + + // Linear congruential step. These LCG constants are from Numerical Recipies + // For additional #'s, PCG would do multiple LCG steps and scramble each on output + // So v here is the RNG state + v = v * 1664525 + 1013904223; + + // PCG uses xorshift for the final shuffle, but it is expensive (and cheap + // versions of xorshift have visible artifacts). Instead, use simple MAD Feistel steps + // + // Feistel ciphers divide the state into separate parts (usually by bits) + // then apply a series of permutation steps one part at a time. The permutations + // use a reversible operation (usually ^) to part being updated with the result of + // a permutation function on the other parts and the key. + // + // In this case, I'm using v.x, v.y and v.z as the parts, using + instead of ^ for + // the combination function, and just multiplying the other two parts (no key) for + // the permutation function. + // + // That gives a simple mad per round. + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + + // only top 16 bits are well shuffled + return v >> 16; +} + +// Wraps noise for tiling texture creation +// @param v = unwrapped texture parameter +// @param bTiling = true to tile, false to not tile +// @param RepeatSize = number of units before repeating +// @return either original or wrapped coord +float3 NoiseTileWrap(float3 v, bool bTiling, float RepeatSize) +{ + return bTiling ? (math::frac(v / RepeatSize) * RepeatSize) : v; +} + +// Evaluate polynomial to get smooth transitions for Perlin noise +// only needed by Perlin functions in this file +// scalar(per component): 2 add, 5 mul +float4 PerlinRamp(float4 t) +{ + return t * t * t * (t * (t * 6 - 15) + 10); +} + +// Blum-Blum-Shub-inspired pseudo random number generator +// http://www.umbc.edu/~olano/papers/mNoise.pdf +// real BBS uses ((s*s) mod M) with bignums and M as the product of two huge Blum primes +// instead, we use a single prime M just small enough not to overflow +// note that the above paper used 61, which fits in a half, but is unusably bad +// @param Integer valued floating point seed +// @return random number in range [0,1) +// ~8 ALU operations (5 *, 3 frac) +float RandBBSfloat(float seed) +{ + float BBS_PRIME24 = 4093.0; + float s = math::frac(seed / BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + return s; +} + +// Modified noise gradient term +// @param seed - random seed for integer lattice position +// @param offset - [-1,1] offset of evaluation point from lattice point +// @return gradient direction (xyz) and contribution (w) from this lattice point +float4 MGradient(int seed, float3 offset) +{ + //TODO uint + int rand = Rand3DPCG16(int3(seed,0,0)).x; + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1.0 / 0x4000, 1.0 / 0x2000, 1.0 / 0x1000); + float3 direction = float3(int3(rand, rand, rand) & MGradientMask) * MGradientScale - 1; + return float4(direction.x, direction.y, direction.z, math::dot(direction, offset)); +} + +// compute Perlin and related noise corner seed values +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = true to return seed values for a repeating noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @param seed000-seed111 = hash function seeds for the eight corners +// @return fractional part of v +struct SeedValue +{ + float3 fv = float3(0); + float seed000 = 0; + float seed001 = 0; + float seed010 = 0; + float seed011 = 0; + float seed100 = 0; + float seed101 = 0; + float seed110 = 0; + float seed111 = 0; +}; + +SeedValue NoiseSeeds(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds; + seeds.fv = math::frac(v); + float3 iv = math::floor(v); + + const float3 primes = float3(19, 47, 101); + + if (bTiling) + { // can't algebraically combine with primes + seeds.seed000 = math::dot(primes, NoiseTileWrap(iv, true, RepeatSize)); + seeds.seed100 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 0), true, RepeatSize)); + seeds.seed010 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 0), true, RepeatSize)); + seeds.seed110 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 0), true, RepeatSize)); + seeds.seed001 = math::dot(primes, NoiseTileWrap(iv + float3(0, 0, 1), true, RepeatSize)); + seeds.seed101 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 1), true, RepeatSize)); + seeds.seed011 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 1), true, RepeatSize)); + seeds.seed111 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 1), true, RepeatSize)); + } + else + { // get to combine offsets with multiplication by primes in this case + seeds.seed000 = math::dot(iv, primes); + seeds.seed100 = seeds.seed000 + primes.x; + seeds.seed010 = seeds.seed000 + primes.y; + seeds.seed110 = seeds.seed100 + primes.y; + seeds.seed001 = seeds.seed000 + primes.z; + seeds.seed101 = seeds.seed100 + primes.z; + seeds.seed011 = seeds.seed010 + primes.z; + seeds.seed111 = seeds.seed110 + primes.z; + } + + return seeds; +} + +struct SimplexWeights +{ + float4 Result = float4(0); + float3 PosA = float3(0); + float3 PosB = float3(0); + float3 PosC = float3(0); + float3 PosD = float3(0); +}; + +// Computed weights and sample positions for simplex interpolation +// @return float4(a,b,c, d) Barycentric coordinate defined as Filtered = Tex(PosA) * a + Tex(PosB) * b + Tex(PosC) * c + Tex(PosD) * d +SimplexWeights ComputeSimplexWeights3D(float3 OrthogonalPos) +{ + SimplexWeights weights; + float3 OrthogonalPosFloor = math::floor(OrthogonalPos); + + weights.PosA = OrthogonalPosFloor; + weights.PosB = weights.PosA + float3(1, 1, 1); + + OrthogonalPos -= OrthogonalPosFloor; + + float Largest = math::max(OrthogonalPos.x, math::max(OrthogonalPos.y, OrthogonalPos.z)); + float Smallest = math::min(OrthogonalPos.x, math::min(OrthogonalPos.y, OrthogonalPos.z)); + + weights.PosC = weights.PosA + float3(Largest == OrthogonalPos.x, Largest == OrthogonalPos.y, Largest == OrthogonalPos.z); + weights.PosD = weights.PosA + float3(Smallest != OrthogonalPos.x, Smallest != OrthogonalPos.y, Smallest != OrthogonalPos.z); + + float RG = OrthogonalPos.x - OrthogonalPos.y; + float RB = OrthogonalPos.x - OrthogonalPos.z; + float GB = OrthogonalPos.y - OrthogonalPos.z; + + weights.Result.z = + math::min(math::max(0, RG), math::max(0, RB)) // X + + math::min(math::max(0, -RG), math::max(0, GB)) // Y + + math::min(math::max(0, -RB), math::max(0, -GB)); // Z + + weights.Result.w = + math::min(math::max(0, -RG), math::max(0, -RB)) // X + + math::min(math::max(0, RG), math::max(0, -GB)) // Y + + math::min(math::max(0, RB), math::max(0, GB)); // Z + + weights.Result.y = Smallest; + weights.Result.x = 1.0f - weights.Result.y - weights.Result.z - weights.Result.w; + + return weights; +} + +// filtered 3D gradient simple noise (few texture lookups, high quality) +// @param v >0 +// @return random number in the range -1 .. 1 +float SimplexNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 EvalPos) +{ + float3 OrthogonalPos = SkewSimplex(EvalPos); + + SimplexWeights Weights = ComputeSimplexWeights3D(OrthogonalPos); + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 32 bit) + float3 A = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosA); + float3 B = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosB); + float3 C = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosC); + float3 D = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosD); + + Weights.PosA = UnSkewSimplex(Weights.PosA); + Weights.PosB = UnSkewSimplex(Weights.PosB); + Weights.PosC = UnSkewSimplex(Weights.PosC); + Weights.PosD = UnSkewSimplex(Weights.PosD); + + float DistanceWeight; + + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosA)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float a = math::dot(A, EvalPos - Weights.PosA) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosB)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float b = math::dot(B, EvalPos - Weights.PosB) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosC)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float c = math::dot(C, EvalPos - Weights.PosC) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosD)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float d = math::dot(D, EvalPos - Weights.PosD) * DistanceWeight; + + return 32 * (a + b + c + d); +} + +// filtered 3D noise, can be optimized +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 v, bool bTiling, float RepeatSize) +{ + bTiling = true; + float3 fv = math::frac(v); + float3 iv0 = NoiseTileWrap(math::floor(v), bTiling, RepeatSize); + float3 iv1 = NoiseTileWrap(iv0 + 1, bTiling, RepeatSize); + + const int2 ZShear = int2(17, 89); + + float2 OffsetA = iv0.z * ZShear; + float2 OffsetB = OffsetA + ZShear; // non-tiling, use relative offset + if (bTiling) // tiling, have to compute from wrapped coordinates + { + OffsetB = iv1.z * ZShear; + } + + // Texture size scale factor + float ts = 1 / 128.0f; + + // texture coordinates for iv0.xy, as offset for both z slices + float2 TexA0 = (float2(iv0.x, iv0.y) + OffsetA + 0.5f) * ts; + float2 TexB0 = (float2(iv0.x, iv0.y) + OffsetB + 0.5f) * ts; + + // texture coordinates for iv1.xy, as offset for both z slices + float2 TexA1 = TexA0 + ts; // for non-tiling, can compute relative to existing coordinates + float2 TexB1 = TexB0 + ts; + if (bTiling) // for tiling, need to compute from wrapped coordinates + { + TexA1 = (float2(iv1.x, iv1.y) + OffsetA + 0.5f) * ts; + TexB1 = (float2(iv1.x, iv1.y) + OffsetB + 0.5f) * ts; + } + + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 8, 16 or 32 bit) + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 A = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 B = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 C = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 D = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 E = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 F = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 G = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 H = PerlinNoiseColor * 2 - 1; + + float a = math::dot(A, fv - float3(0, 0, 0)); + float b = math::dot(B, fv - float3(1, 0, 0)); + float c = math::dot(C, fv - float3(0, 1, 0)); + float d = math::dot(D, fv - float3(1, 1, 0)); + float e = math::dot(E, fv - float3(0, 0, 1)); + float f = math::dot(F, fv - float3(1, 0, 1)); + float g = math::dot(G, fv - float3(0, 1, 1)); + float h = math::dot(H, fv - float3(1, 1, 1)); + + float4 Weights = PerlinRamp(math::frac(float4(fv.x, fv.y, fv.z, 0))); + + float i = math::lerp(math::lerp(a, b, Weights.x), math::lerp(c, d, Weights.x), Weights.y); + float j = math::lerp(math::lerp(e, f, Weights.x), math::lerp(g, h, Weights.x), Weights.y); + + return math::lerp(i, j, Weights.z); +} + +// @return random number in the range -1 .. 1 +// scalar: 6 frac, 31 mul/mad, 15 add, +float FastGradientPerlinNoise3D_TEX(uniform texture_3d PerlinNoise3DTexture, float3 xyz) +{ + // needs to be the same value when creating the PerlinNoise3D texture + float Extent = 16; + + // last texel replicated and needed for filtering + // scalar: 3 frac, 6 mul + xyz = math::frac(xyz / (Extent - 1)) * (Extent - 1); + + // scalar: 3 frac + float3 uvw = math::frac(xyz); + // = floor(xyz); + // scalar: 3 add + float3 p0 = xyz - uvw; +// float3 f = math::pow(uvw, 2) * 3.0f - math::pow(uvw, 3) * 2.0f; // original perlin hermite (ok when used without bump mapping) + // scalar: 2*3 add 5*3 mul + float4 pr = PerlinRamp(float4(uvw.x, uvw.y, uvw.z, 0)); + float3 f = float3(pr.x, pr.y, pr.z); // new, better with continues second derivative for bump mapping + // scalar: 3 add + float3 p = p0 + f; + // scalar: 3 mad + // TODO: need reverse??? + float4 NoiseSample = tex::lookup_float4(PerlinNoise3DTexture, p / Extent + 0.5f / Extent); // +0.5f to get rid of bilinear offset + + // reconstruct from 8bit (using mad with 2 constants and dot4 was same instruction count) + // scalar: 4 mad, 3 mul, 3 add + float3 n = float3(NoiseSample.x, NoiseSample.y, NoiseSample.z) * 255.0f / 127.0f - 1.0f; + float d = NoiseSample.w * 255.f - 127; + return math::dot(xyz, n) - d; +} + +// Perlin-style "Modified Noise" +// http://www.umbc.edu/~olano/papers/index.html#mNoise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = MGradient(int(seeds.seed000), seeds.fv - float3(0, 0, 0)).w; + float rand100 = MGradient(int(seeds.seed100), seeds.fv - float3(1, 0, 0)).w; + float rand010 = MGradient(int(seeds.seed010), seeds.fv - float3(0, 1, 0)).w; + float rand110 = MGradient(int(seeds.seed110), seeds.fv - float3(1, 1, 0)).w; + float rand001 = MGradient(int(seeds.seed001), seeds.fv - float3(0, 0, 1)).w; + float rand101 = MGradient(int(seeds.seed101), seeds.fv - float3(1, 0, 1)).w; + float rand011 = MGradient(int(seeds.seed011), seeds.fv - float3(0, 1, 1)).w; + float rand111 = MGradient(int(seeds.seed111), seeds.fv - float3(1, 1, 1)).w; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D value noise - used to be incorrectly called Perlin noise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float ValueNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = RandBBSfloat(seeds.seed000) * 2 - 1; + float rand100 = RandBBSfloat(seeds.seed100) * 2 - 1; + float rand010 = RandBBSfloat(seeds.seed010) * 2 - 1; + float rand110 = RandBBSfloat(seeds.seed110) * 2 - 1; + float rand001 = RandBBSfloat(seeds.seed001) * 2 - 1; + float rand101 = RandBBSfloat(seeds.seed101) * 2 - 1; + float rand011 = RandBBSfloat(seeds.seed011) * 2 - 1; + float rand111 = RandBBSfloat(seeds.seed111) * 2 - 1; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D jitter offset within a voronoi noise cell +// @param pos - integer lattice corner +// @return random offsets vector +float3 VoronoiCornerSample(float3 pos, int Quality) +{ + // random values in [-0.5, 0.5] + float3 noise = float3(Rand3DPCG16(int3(pos))) / 0xffff - 0.5; + + // quality level 1 or 2: searches a 2x2x2 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 2x2x2 search + if (Quality <= 2) + { + return math::normalize(noise) * 0.2588; + } + + // quality level 3: searches a 3x3x3 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 3x3x3 search + if (Quality == 3) + { + return math::normalize(noise) * 0.3090; + } + + // quality level 4: jitter to anywhere in the cell, needs 4x4x4 search + return noise; +} + +// compare previous best with a new candidate +// not producing point locations makes it easier for compiler to eliminate calculations when they're not needed +// @param minval = location and distance of best candidate seed point before the new one +// @param candidate = candidate seed point +// @param offset = 3D offset to new candidate seed point +// @param bDistanceOnly = if true, only set maxval.w with distance, otherwise maxval.w is distance and maxval.xyz is position +// @return position (if bDistanceOnly is false) and distance to closest seed point so far +float4 VoronoiCompare(float4 minval, float3 candidate, float3 offset, bool bDistanceOnly) +{ + if (bDistanceOnly) + { + return float4(0, 0, 0, math::min(minval.w, math::dot(offset, offset))); + } + else + { + float newdist = math::dot(offset, offset); + return newdist > minval.w ? minval : float4(candidate.x, candidate.y, candidate.z, newdist); + } +} + +// 220 instruction Worley noise +float4 VoronoiNoise3D_ALU(float3 v, int Quality, bool bTiling, float RepeatSize, bool bDistanceOnly) +{ + float3 fv = math::frac(v), fv2 = math::frac(v + 0.5); + float3 iv = math::floor(v), iv2 = math::floor(v + 0.5); + + // with initial minimum distance = infinity (or at least bigger than 4), first min is optimized away + float4 mindist = float4(0,0,0,100); + float3 p, offset; + + // quality level 3: do a 3x3x3 search + if (Quality == 3) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 1; ++offset_x) + { + for (offset_y = -1; offset_y <= 1; ++offset_y) + { + for (offset_z = -1; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + + // everybody else searches a base 2x2x2 neighborhood + else + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = 0; offset_x <= 1; ++offset_x) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // quality level 2, do extra set of points, offset by half a cell + if (Quality == 2) + { + // 467 is just an offset to a different area in the random number field to avoid similar neighbor artifacts + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize) + 467, Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + } + + // quality level 4: add extra sets of four cells in each direction + if (Quality >= 4) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 2; offset_x += 3) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + // along x axis + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along y axis + p = float3(offset.y, offset.z, offset.x) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.y, offset.z, offset.x), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along z axis + p = float3(offset.z, offset.x, offset.y) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.z, offset.x, offset.y), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + } + } + } + } + + // transform squared distance to real distance + return float4(mindist.x, mindist.y, mindist.z, math::sqrt(mindist.w)); +} + +// Coordinates for corners of a Simplex tetrahedron +// Based on McEwan et al., Efficient computation of noise in GLSL, JGT 2011 +// @param v = 3D noise argument +// @return 4 corner locations +float4x3 SimplexCorners(float3 v) +{ + // find base corner by skewing to tetrahedral space and back + float3 tet = math::floor(v + v.x/3 + v.y/3 + v.z/3); + float3 base = tet - tet.x/6 - tet.y/6 - tet.z/6; + float3 f = v - base; + + // Find offsets to other corners (McEwan did this in tetrahedral space, + // but since skew is along x=y=z axis, this works in Euclidean space too.) + float3 g = math::step(float3(f.y,f.z,f.x), float3(f.x,f.y,f.z)), h = 1 - float3(g.z, g.x, g.y); + float3 a1 = math::min(g, h) - 1.0 / 6.0, a2 = math::max(g, h) - 1.0 / 3.0; + + // four corners + return float4x3(base, base + a1, base + a2, base + 0.5); +} + +// Improved smoothing function for simplex noise +// @param f = fractional distance to four tetrahedral corners +// @return weight for each corner +float4 SimplexSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + return (1 * scale + s*(-3 * scale + s*(3 * scale - s*scale))); +} + +// Derivative of simplex noise smoothing function +// @param f = fractional distanc eto four tetrahedral corners +// @return derivative of smoothing function for each corner by x, y and z +float3x4 SimplexDSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + s = -12 * scale + s*(24 * scale - s * 12 * scale); + + return float3x4( + s * float4(f[0][0], f[1][0], f[2][0], f[3][0]), + s * float4(f[0][1], f[1][1], f[2][1], f[3][1]), + s * float4(f[0][2], f[1][2], f[2][2], f[3][2])); +} + +// Simplex noise and its Jacobian derivative +// @param v = 3D noise argument +// @param bTiling = whether to repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension, must be a multiple of 3 +// @return float3x3 Jacobian in J[*].xyz, vector noise in J[*].w +// J[0].w, J[1].w, J[2].w is a Perlin-style simplex noise with vector output, e.g. (Nx, Ny, Nz) +// J[i].x is X derivative of the i'th component of the noise so J[2].x is dNz/dx +// You can use this to compute the noise, gradient, curl, or divergence: +// float3x4 J = JacobianSimplex_ALU(...); +// float3 VNoise = float3(J[0].w, J[1].w, J[2].w); // 3D noise +// float3 Grad = J[0].xyz; // gradient of J[0].w +// float3 Curl = float3(J[1][2]-J[2][1], J[2][0]-J[0][2], J[0][1]-J[1][2]); +// float Div = J[0][0]+J[1][1]+J[2][2]; +// All of these are confirmed to compile out all unneeded terms. +// So Grad of X doesn't compute Y or Z components, and VNoise doesn't do any of the derivative computation. +float3x4 JacobianSimplex_ALU(float3 v, bool bTiling, float RepeatSize) +{ + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1. / 0x4000, 1. / 0x2000, 1. / 0x1000); + + // corners of tetrahedron + float4x3 T = SimplexCorners(v); + // TODO: uint3 + int3 rand = int3(0); + float4x3 gvec0 = float4x3(1.0); + float4x3 gvec1 = float4x3(1.0); + float4x3 gvec2 = float4x3(1.0); + float4x3 fv = float4x3(1.0); + float3x4 grad = float3x4(1.0); + + // processing of tetrahedral vertices, unrolled + // to compute gradient at each corner + fv[0] = v - T[0]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[0] + 0.5, bTiling, RepeatSize)))); + gvec0[0] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[0] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[0] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][0] = math::dot(gvec0[0], fv[0]); + grad[1][0] = math::dot(gvec1[0], fv[0]); + grad[2][0] = math::dot(gvec2[0], fv[0]); + + fv[1] = v - T[1]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[1] + 0.5, bTiling, RepeatSize)))); + gvec0[1] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][1] = math::dot(gvec0[1], fv[1]); + grad[1][1] = math::dot(gvec1[1], fv[1]); + grad[2][1] = math::dot(gvec2[1], fv[1]); + + fv[2] = v - T[2]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[2] + 0.5, bTiling, RepeatSize)))); + gvec0[2] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[2] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[2] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][2] = math::dot(gvec0[2], fv[2]); + grad[1][2] = math::dot(gvec1[2], fv[2]); + grad[2][2] = math::dot(gvec2[2], fv[2]); + + fv[3] = v - T[3]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[3] + 0.5, bTiling, RepeatSize)))); + gvec0[3] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[3] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[3] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][3] = math::dot(gvec0[3], fv[3]); + grad[1][3] = math::dot(gvec1[3], fv[3]); + grad[2][3] = math::dot(gvec2[3], fv[3]); + + // blend gradients + float4 sv = SimplexSmooth(fv); + float3x4 ds = SimplexDSmooth(fv); + + float3x4 jacobian = float3x4(1.0); + float3 vec0 = gvec0*sv + grad[0]*ds; // NOTE: mdl is column major, convert from UE4 (row major) + jacobian[0] = float4(vec0.x, vec0.y, vec0.z, math::dot(sv, grad[0])); + float3 vec1 = gvec1*sv + grad[1]*ds; + jacobian[1] = float4(vec1.x, vec1.y, vec1.z, math::dot(sv, grad[1])); + float3 vec2 = gvec2*sv + grad[2]*ds; + jacobian[2] = float4(vec2.x, vec2.y, vec2.z, math::dot(sv, grad[2])); + + return jacobian; +} + +// While RepeatSize is a float here, the expectation is that it would be largely integer values coming in from the UI. The downstream logic assumes +// floats for all called functions (NoiseTileWrap) and this prevents any float-to-int conversion errors from automatic type conversion. +float Noise3D_Multiplexer(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, int Function, float3 Position, int Quality, bool bTiling, float RepeatSize) +{ + // verified, HLSL compiled out the switch if Function is a constant + switch(Function) + { + case 0: + return SimplexNoise3D_TEX(PerlinNoiseGradientTexture, Position); + case 1: + return GradientNoise3D_TEX(PerlinNoiseGradientTexture, Position, bTiling, RepeatSize); + case 2: + return FastGradientPerlinNoise3D_TEX(PerlinNoise3DTexture, Position); + case 3: + return GradientNoise3D_ALU(Position, bTiling, RepeatSize); + case 4: + return ValueNoise3D_ALU(Position, bTiling, RepeatSize); + case 5: + return VoronoiNoise3D_ALU(Position, Quality, bTiling, RepeatSize, true).w * 2.0 - 1.0; + } + return 0; +} +//---------------------------------------------------------- + +export float noise(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, float3 Position, float Scale, float Quality, float Function, float Turbulence, float Levels, float OutputMin, float OutputMax, float LevelScale, float FilterWidth, float Tiling, float RepeatSize) +[[ + anno::description("Noise"), + anno::noinline() +]] +{ + Position *= Scale; + FilterWidth *= Scale; + + float Out = 0.0f; + float OutScale = 1.0f; + float InvLevelScale = 1.0f / LevelScale; + + int iFunction(Function); + int iQuality(Quality); + int iLevels(Levels); + bool bTurbulence(Turbulence); + bool bTiling(Tiling); + + for(int i = 0; i < iLevels; ++i) + { + // fade out noise level that are too high frequent (not done through dynamic branching as it usually requires gradient instructions) + OutScale *= math::saturate(1.0 - FilterWidth); + + if(bTurbulence) + { + Out += math::abs(Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize)) * OutScale; + } + else + { + Out += Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize) * OutScale; + } + + Position *= LevelScale; + RepeatSize *= LevelScale; + OutScale *= InvLevelScale; + FilterWidth *= LevelScale; + } + + if(!bTurbulence) + { + // bring -1..1 to 0..1 range + Out = Out * 0.5f + 0.5f; + } + + // Out is in 0..1 range + return math::lerp(OutputMin, OutputMax, Out); +} + +// Material node for noise functions returning a vector value +// @param LevelScale usually 2 but higher values allow efficient use of few levels +// @return in user defined range (OutputMin..OutputMax) +export float4 vector4_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise"), + anno::noinline() +]] +{ + float4 result = float4(0,0,0,1); + float3 ret = float3(0); + int iQuality = int(Quality); + int iFunction = int(Function); + bool bTiling = Tiling > 0.0; + + float3x4 Jacobian = JacobianSimplex_ALU(Position, bTiling, TileSize); // compiled out if not used + + // verified, HLSL compiled out the switch if Function is a constant + switch (iFunction) + { + case 0: // Cellnoise + ret = float3(Rand3DPCG16(int3(math::floor(NoiseTileWrap(Position, bTiling, TileSize))))) / 0xffff; + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 1: // Color noise + ret = float3(Jacobian[0].w, Jacobian[1].w, Jacobian[2].w); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 2: // Gradient + result = Jacobian[0]; + break; + case 3: // Curl + ret = float3(Jacobian[2][1] - Jacobian[1][2], Jacobian[0][2] - Jacobian[2][0], Jacobian[1][0] - Jacobian[0][1]); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 4: // Voronoi + result = VoronoiNoise3D_ALU(Position, iQuality, bTiling, TileSize, false); + break; + } + return result; +} + +export float3 vector3_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise float3 version"), + anno::noinline() +]] +{ + float4 noise = vector4_noise(Position, Quality, Function, Tiling, TileSize); + return float3(noise.x, noise.y, noise.z); +} + + +// workaround for ue4 fresnel (without supporting for camera vector) : replacing it with 0.0, means facing to the view +export float fresnel(float exponent [[anno::unused()]], float base_reflect_fraction [[anno::unused()]], float3 normal [[anno::unused()]]) +[[ + anno::description("Fresnel"), + anno::noinline() +]] +{ + return 0.0; +} + +export float fresnel_function(float3 normal_vector [[anno::unused()]], float3 camera_vector [[anno::unused()]], + bool invert_fresnel [[anno::unused()]], float power [[anno::unused()]], + bool use_cheap_contrast [[anno::unused()]], float cheap_contrast_dark [[anno::unused()]], float cheap_contrast_bright [[anno::unused()]], + bool clamp_fresnel_dot_product [[anno::unused()]]) +[[ + anno::description("Fresnel Function"), + anno::noinline() +]] +{ + return 0.0; +} + +export float3 camera_vector(uniform bool up_z = true) +[[ + anno::description("Camera Vector"), + anno::noinline() +]] +{ + // assume camera postion is 0,0,0 + return math::normalize(float3(0) - convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)); +} + +export float pixel_depth() +[[ + anno::description("Pixel Depth"), + anno::noinline() +]] +{ + return 256.0f; +} + +export float scene_depth() +[[ + anno::description("Scene Depth") +]] +{ + return 65500.0f; +} + +export float3 scene_color() +[[ + anno::description("Scene Color") +]] +{ + return float3(1.0f); +} + +export float4 vertex_color() +[[ + anno::description("Vertex Color"), + anno::noinline() +]] +{ + return float4(1.0f); +} + +export float4 vertex_color_from_coordinate(int VertexColorCoordinateIndex) +[[ + anno::description("Vertex Color for float2 PrimVar"), + anno::noinline() +]] +{ + // Kit only supports 4 uv sets, 2 uvs are available to vertex color. if vertex color index is invalid, output the constant WHITE color intead + return (VertexColorCoordinateIndex > 2) ? float4(1.0f) : float4(state::texture_coordinate(VertexColorCoordinateIndex).x, state::texture_coordinate(VertexColorCoordinateIndex).y, state::texture_coordinate(VertexColorCoordinateIndex+1).x, state::texture_coordinate(VertexColorCoordinateIndex+1).y); +} + +export float3 camera_position() +[[ + anno::description("Camera Position"), + anno::noinline() +]] +{ + return float3(1000.0f, 0, 0); +} + +export float3 rotate_about_axis(float4 NormalizedRotationAxisAndAngle, float3 PositionOnAxis, float3 Position) +[[ + anno::description("Rotates Position about the given axis by the given angle") +]] +{ + // Project Position onto the rotation axis and find the closest point on the axis to Position + float3 NormalizedRotationAxis = float3(NormalizedRotationAxisAndAngle.x,NormalizedRotationAxisAndAngle.y,NormalizedRotationAxisAndAngle.z); + float3 ClosestPointOnAxis = PositionOnAxis + NormalizedRotationAxis * math::dot(NormalizedRotationAxis, Position - PositionOnAxis); + // Construct orthogonal axes in the plane of the rotation + float3 UAxis = Position - ClosestPointOnAxis; + float3 VAxis = math::cross(NormalizedRotationAxis, UAxis); + float[2] SinCosAngle = math::sincos(NormalizedRotationAxisAndAngle.w); + // Rotate using the orthogonal axes + float3 R = UAxis * SinCosAngle[1] + VAxis * SinCosAngle[0]; + // Reconstruct the rotated world space position + float3 RotatedPosition = ClosestPointOnAxis + R; + // Convert from position to a position offset + return RotatedPosition - Position; +} + +export float2 rotate_scale_offset_texcoords(float2 InTexCoords, float4 InRotationScale, float2 InOffset) +[[ + anno::description("Returns a float2 texture coordinate after 2x2 transform and offset applied") +]] +{ + return float2(math::dot(InTexCoords, float2(InRotationScale.x, InRotationScale.y)), math::dot(InTexCoords, float2(InRotationScale.z, InRotationScale.w))) + InOffset; +} + +export float3 reflection_custom_world_normal(float3 WorldNormal, bool bNormalizeInputNormal, uniform bool up_z = true) +[[ + anno::description("Reflection vector about the specified world space normal") +]] +{ + if (bNormalizeInputNormal) + { + WorldNormal = math::normalize(WorldNormal); + } + + return -camera_vector(up_z) + WorldNormal * math::dot(WorldNormal, camera_vector(up_z)) * 2.0; +} + +export float3 reflection_vector(uniform bool up_z = true) +[[ + anno::description("Reflection Vector"), + anno::noinline() +]] +{ + float3 normal = convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); + return reflection_custom_world_normal(normal, false, up_z); +} + +export float dither_temporalAA(float AlphaThreshold = 0.5f, float Random = 1.0f [[anno::unused()]]) +[[ + anno::description("Dither TemporalAA"), + anno::noinline() +]] +{ + return AlphaThreshold; +} + +export float3 black_body( float Temp ) +[[ + anno::description("Black Body"), + anno::noinline() +]] +{ + float u = ( 0.860117757f + 1.54118254e-4f * Temp + 1.28641212e-7f * Temp*Temp ) / ( 1.0f + 8.42420235e-4f * Temp + 7.08145163e-7f * Temp*Temp ); + float v = ( 0.317398726f + 4.22806245e-5f * Temp + 4.20481691e-8f * Temp*Temp ) / ( 1.0f - 2.89741816e-5f * Temp + 1.61456053e-7f * Temp*Temp ); + + float x = 3*u / ( 2*u - 8*v + 4 ); + float y = 2*v / ( 2*u - 8*v + 4 ); + float z = 1 - x - y; + + float Y = 1; + float X = Y/y * x; + float Z = Y/y * z; + + float3x3 XYZtoRGB = float3x3( + float3(3.2404542, -1.5371385, -0.4985314), + float3(-0.9692660, 1.8760108, 0.0415560), + float3(0.0556434, -0.2040259, 1.0572252) + ); + + return XYZtoRGB * float3( X, Y, Z ) * math::pow( 0.0004 * Temp, 4 ); +} + +export float per_instance_random(uniform texture_2d PerlinNoiseGradientTexture, int NumberInstances) +[[ + anno::description("Per Instance Random"), + anno::noinline() +]] +{ + float weight = state::object_id() / float(NumberInstances); + return NumberInstances == 0 ? 0.0 : tex::lookup_float4(PerlinNoiseGradientTexture, float2(weight, 1.0 - weight), tex::wrap_repeat, tex::wrap_repeat).x; +} + +//------------------ Hair from UE4 ----------------------- +float3 hair_absorption_to_color(float3 A) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::exp(-math::sqrt(A) * D); +} + +float3 hair_color_to_absorption(float3 C) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::pow(math::log(C) / D, 2.0f); +} + +export float3 get_hair_color_from_melanin(float InMelanin, float InRedness, float3 InDyeColor) +[[ + anno::description("Hair Color") +]] +{ + InMelanin = math::saturate(InMelanin); + InRedness = math::saturate(InRedness); + float Melanin = -math::log(math::max(1 - InMelanin, 0.0001f)); + float Eumelanin = Melanin * (1 - InRedness); + float Pheomelanin = Melanin * InRedness; + + float3 DyeAbsorption = hair_color_to_absorption(math::saturate(InDyeColor)); + float3 Absorption = Eumelanin * float3(0.506f, 0.841f, 1.653f) + Pheomelanin * float3(0.343f, 0.733f, 1.924f); + + return hair_absorption_to_color(Absorption + DyeAbsorption); +} + +export float3 local_object_bounds_min() +[[ + anno::description("Local Object Bounds Min"), + anno::noinline() +]] +{ + return float3(0.0); +} + +export float3 local_object_bounds_max() +[[ + anno::description("Local Object Bounds Max"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float3 object_bounds() +[[ + anno::description("Object Bounds"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float object_radius() +[[ + anno::description("Object Radius"), + anno::noinline() +]] +{ + return 100.0f; +} + +export float3 object_world_position(uniform bool up_z = true) +[[ + anno::description("Object World Position"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)*state::meters_per_scene_unit()*100.0; +} + +export float3 object_orientation() +[[ + anno::description("Object Orientation"), + anno::noinline() +]] +{ + return float3(0); +} + +export float rcp(float x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float2 rcp(float2 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float3 rcp(float3 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float4 rcp(float4 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export int BitFieldExtractI32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractI32 int"), + anno::noinline() +]] +{ + Size &= 3; + Offset &= 3; + + if (Size == 0) + return 0; + else if (Offset + Size < 32) + return (Data << (32 - Size - Offset)) >> (32 - Size); + else + return Data >> Offset; +} + +export int BitFieldExtractI32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractI32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(int(Data), int(Size), int(Offset)); +} + +export int BitFieldExtractU32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractU32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export int BitFieldExtractU32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractU32 int"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export float3 EyeAdaptationInverseLookup(float3 LightValue, float Alpha) +[[ + anno::description("EyeAdaptationInverseLookup"), + anno::noinline() +]] +{ + float Adaptation = 1.0f; + + // When Alpha=0.0, we want to multiply by 1.0. when Alpha = 1.0, we want to multiply by 1/Adaptation. + // So the lerped value is: + // LerpLogScale = Lerp(log(1),log(1/Adaptaiton),T) + // Which is simplified as: + // LerpLogScale = Lerp(0,-log(Adaptation),T) + // LerpLogScale = -T * logAdaptation; + + float LerpLogScale = -Alpha * math::log(Adaptation); + float Scale = math::exp(LerpLogScale); + return LightValue * Scale; +} diff --git a/Shelf/BP_StandardShelf15/Materials/Textures/T_Plywood_ao.png b/Shelf/BP_StandardShelf15/Materials/Textures/T_Plywood_ao.png new file mode 100644 index 0000000000000000000000000000000000000000..91116503e4d596b98542ac306190a0fda18fd514 --- /dev/null +++ b/Shelf/BP_StandardShelf15/Materials/Textures/T_Plywood_ao.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:4f1349054d8b5824fd0938f727ca3d1c24150c4a54bfcff23d6830e2ca1f1a71 +size 3149109 diff --git a/Shelf/BP_StandardShelf15/Materials/Textures/T_Plywood_basecolor.png b/Shelf/BP_StandardShelf15/Materials/Textures/T_Plywood_basecolor.png new file mode 100644 index 0000000000000000000000000000000000000000..ac8253402de3dbf123bf859c8dbafe81d112917d --- /dev/null +++ b/Shelf/BP_StandardShelf15/Materials/Textures/T_Plywood_basecolor.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:ef723c63c0fca5ba3f88dee037ebead69ab0b0e11fd3082da64b9fa65dfa32f0 +size 18364666 diff --git a/Shelf/BP_StandardShelf15/Materials/Textures/T_Plywood_metallic.png b/Shelf/BP_StandardShelf15/Materials/Textures/T_Plywood_metallic.png new file mode 100644 index 0000000000000000000000000000000000000000..03f4ef042228814cc71db44585319c1ec9be579f --- /dev/null +++ b/Shelf/BP_StandardShelf15/Materials/Textures/T_Plywood_metallic.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:a2c047eab8af307a6fa78304fcd00f45159e8524b3af0690fcc7148e61c9758c +size 73391 diff --git a/Shelf/BP_StandardShelf15/Materials/Textures/T_Plywood_normal.png b/Shelf/BP_StandardShelf15/Materials/Textures/T_Plywood_normal.png new file mode 100644 index 0000000000000000000000000000000000000000..4313164a4fe92e40daa36dfd813db586126e0193 --- /dev/null +++ b/Shelf/BP_StandardShelf15/Materials/Textures/T_Plywood_normal.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:ad96feb36d9b0cd020c8d0c58c354211b896cbc726e549a28ddaa9de3f01e2aa +size 9800102 diff --git a/Shelf/BP_StandardShelf15/Materials/Textures/T_Plywood_roughness.png b/Shelf/BP_StandardShelf15/Materials/Textures/T_Plywood_roughness.png new file mode 100644 index 0000000000000000000000000000000000000000..25cee1ab1f81737f33ab36a865d195733809e425 --- /dev/null +++ b/Shelf/BP_StandardShelf15/Materials/Textures/T_Plywood_roughness.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:037d7e33661acd5e3821c2168cc694b9864229af567d9bdd1239662ddf91e95c +size 9434170 diff --git a/Shelf/BP_StandardShelf15/Materials/Textures/T_StoreShelvings_2_AO.png b/Shelf/BP_StandardShelf15/Materials/Textures/T_StoreShelvings_2_AO.png new file mode 100644 index 0000000000000000000000000000000000000000..ec99febaf6ad4c625fb14ef2ec33f85de0ec7560 --- /dev/null +++ b/Shelf/BP_StandardShelf15/Materials/Textures/T_StoreShelvings_2_AO.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:07aafd42707e2344c9c1a740d23775e431fbd03416f9d4d5ad0255d4dd13b791 +size 6858095 diff --git a/Shelf/BP_StandardShelf15/Materials/Textures/T_StoreShelvings_2_BaseColor.png b/Shelf/BP_StandardShelf15/Materials/Textures/T_StoreShelvings_2_BaseColor.png new file mode 100644 index 0000000000000000000000000000000000000000..fa9039ce98d659f21025a223c107e96ad33da186 --- /dev/null +++ b/Shelf/BP_StandardShelf15/Materials/Textures/T_StoreShelvings_2_BaseColor.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:59711aa9f507706c28feb3b78bc86069641677c358d983ea402df8011eaa9a12 +size 14896859 diff --git a/Shelf/BP_StandardShelf15/Materials/Textures/T_StoreShelvings_2_Metallic.png b/Shelf/BP_StandardShelf15/Materials/Textures/T_StoreShelvings_2_Metallic.png new file mode 100644 index 0000000000000000000000000000000000000000..961b98a23f7f3d6654d684d3c7a68414a6d9d796 --- /dev/null +++ b/Shelf/BP_StandardShelf15/Materials/Textures/T_StoreShelvings_2_Metallic.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:b2017ed74cafd8cba3d1d5ae9600b1a5f543fbe21488578cf9ee3b341005c9f1 +size 89351 diff --git a/Shelf/BP_StandardShelf15/Materials/Textures/T_StoreShelvings_2_Normal.png b/Shelf/BP_StandardShelf15/Materials/Textures/T_StoreShelvings_2_Normal.png new file mode 100644 index 0000000000000000000000000000000000000000..10bcb602aa5265cc82630ab412d036952dc44925 --- /dev/null +++ b/Shelf/BP_StandardShelf15/Materials/Textures/T_StoreShelvings_2_Normal.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:73cb1f364bebc4683343991ecd0d2d138481cf838ebb7ef7baf8677cbc70dd10 +size 19577666 diff --git a/Shelf/BP_StandardShelf15/Materials/Textures/T_StoreShelvings_2_Roughness.png b/Shelf/BP_StandardShelf15/Materials/Textures/T_StoreShelvings_2_Roughness.png new file mode 100644 index 0000000000000000000000000000000000000000..876f7b108b9fe440d4274838c29e519a40b64e04 --- /dev/null +++ b/Shelf/BP_StandardShelf15/Materials/Textures/T_StoreShelvings_2_Roughness.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:c4112e75f04fc70fc58a4a51eb18dcfcfb5fd0a13005b76d2ee6405e200ecdc0 +size 6920404 diff --git a/Shelf/BP_StandardShelf15/Props/BackPlate.usd b/Shelf/BP_StandardShelf15/Props/BackPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..a3409d3ee1db60c718097e5e122a3190a3388d8d Binary files /dev/null and b/Shelf/BP_StandardShelf15/Props/BackPlate.usd differ diff --git a/Shelf/BP_StandardShelf15/Props/BasePlate.usd b/Shelf/BP_StandardShelf15/Props/BasePlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..87b3126beabc4e57bf237549e1e40d5a642c2512 Binary files /dev/null and b/Shelf/BP_StandardShelf15/Props/BasePlate.usd differ diff --git a/Shelf/BP_StandardShelf15/Props/HorizontalPlate.usd b/Shelf/BP_StandardShelf15/Props/HorizontalPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..a095a8df68494028376d1da9d60eb977b941c6bd Binary files /dev/null and b/Shelf/BP_StandardShelf15/Props/HorizontalPlate.usd differ diff --git a/Shelf/BP_StandardShelf15/Props/SideGuardPlate.usd b/Shelf/BP_StandardShelf15/Props/SideGuardPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..efdd73ed2a272a97e1d716f4343ecc86cb8ce146 Binary files /dev/null and b/Shelf/BP_StandardShelf15/Props/SideGuardPlate.usd differ diff --git a/Shelf/BP_StandardShelf15/instance.usd b/Shelf/BP_StandardShelf15/instance.usd new file mode 100644 index 0000000000000000000000000000000000000000..7110d18ca8a7181284fcd01fd6da000c9e3af76f Binary files /dev/null and b/Shelf/BP_StandardShelf15/instance.usd differ diff --git a/Shelf/BP_StandardShelf17/Materials/MI_Adverts.mdl b/Shelf/BP_StandardShelf17/Materials/MI_Adverts.mdl new file mode 100644 index 0000000000000000000000000000000000000000..d83cfefe67f930add6d6afdb228f04a534ebf7e8 --- /dev/null +++ b/Shelf/BP_StandardShelf17/Materials/MI_Adverts.mdl @@ -0,0 +1,73 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material MI_Adverts( + uniform texture_2d BaseColor = texture_2d("./Textures/T_RackAdvert_BC.png",::tex::gamma_srgb) + [[ + anno::display_name("BaseColor"), + anno::ui_order(32), + sampler_color() + ]], + float4 Color = float4(1.0,1.0,1.0,1.0) + [[ + anno::display_name("Color"), + anno::ui_order(32), + anno::in_group("Color") + ]], + float Brightness = 0.0 + [[ + anno::display_name("Brightness"), + anno::ui_order(32) + ]], + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + + float3 Normal_mdl = float3(0.0,0.0,1.0); + + float4 Local0 = tex::lookup_float4(BaseColor,float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float3 Local1 = (float3(Local0.x,Local0.y,Local0.z) * float3(Color.x,Color.y,Color.z)); + float3 Local2 = (Local1 * Brightness); + + float3 EmissiveColor_mdl = Local2; + float OpacityMask_mdl = 1.0; + float3 BaseColor_mdl = float3(0.0,0.0,0.0); + float Metallic_mdl = 0.0; + float Specular_mdl = 0.5; + float Roughness_mdl = 1.0; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_StandardShelf17/Materials/MI_DisplayRack.mdl b/Shelf/BP_StandardShelf17/Materials/MI_DisplayRack.mdl new file mode 100644 index 0000000000000000000000000000000000000000..61cc64c5d79166805d6e2e9a945b6eb9c6e46785 --- /dev/null +++ b/Shelf/BP_StandardShelf17/Materials/MI_DisplayRack.mdl @@ -0,0 +1,99 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material MI_DisplayRack( + float Tile = 1.0 + [[ + anno::display_name("Tile"), + anno::ui_order(32), + anno::in_group("Textures") + ]], + uniform texture_2d Normal = texture_2d("./Textures/T_Default_N.png",::tex::gamma_linear) + [[ + anno::display_name("Normal"), + anno::ui_order(32), + anno::in_group("Textures"), + sampler_normal() + ]], + float NormalIntensity = 1.0 + [[ + anno::display_name("Normal Intensity"), + anno::ui_order(32), + anno::in_group("Textures") + ]], + float4 AlbedoColor = float4(1.0,1.0,1.0,1.0) + [[ + anno::display_name("Albedo Color"), + anno::ui_order(32), + anno::in_group("Coloring") + ]], + uniform texture_2d BaseColor = texture_2d("./Textures/T_Default_BC.png",::tex::gamma_srgb) + [[ + anno::display_name("Base Color"), + anno::ui_order(32), + anno::in_group("Textures"), + sampler_color() + ]], + uniform texture_2d RMAM = texture_2d("./Textures/T_Default_RMA.png",::tex::gamma_linear) + [[ + anno::display_name("RMAM"), + anno::ui_order(32), + anno::in_group("Textures"), + sampler_masks() + ]], + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + float2 Local0 = (CustomizedUV0_mdl * Tile); + float4 Local1 = ::unpack_normal_map(tex::lookup_float4(Normal,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat)); + float Local2 = (1.0 - NormalIntensity); + float3 Local3 = math::lerp(float3(Local1.x,Local1.y,Local1.z),float3(0.0,0.0,1.0),Local2); + + float3 Normal_mdl = Local3; + + float4 Local4 = tex::lookup_float4(BaseColor,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 Local5 = (float3(AlbedoColor.x,AlbedoColor.y,AlbedoColor.z) * float3(Local4.x,Local4.y,Local4.z)); + float4 Local6 = tex::lookup_float4(RMAM,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float OpacityMask_mdl = 1.0; + float3 BaseColor_mdl = Local5; + float Metallic_mdl = Local6.y; + float Specular_mdl = 0.5; + float Roughness_mdl = Local6.x; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_StandardShelf17/Materials/OmniUe4Base.mdl b/Shelf/BP_StandardShelf17/Materials/OmniUe4Base.mdl new file mode 100644 index 0000000000000000000000000000000000000000..a441fbaf28040302c7aaabfbcf14b24a85bdf643 --- /dev/null +++ b/Shelf/BP_StandardShelf17/Materials/OmniUe4Base.mdl @@ -0,0 +1,224 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.0 - first version +//* 1.0.1 - merge unlit template +//* 1.0.2 - Fix EDF in the back side: the EDF contained in surface is only used for the front side and not for the back side +//* 1.0.3 - UE4 normal mapping: Geometry normal shouldn't be changed +//* 1.0.4 - using absolute import paths when importing standard modules + +mdl 1.3; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + +float emissive_multiplier() +[[ + anno::description("the multiplier to convert UE4 emissive to raw data"), + anno::noinline() +]] +{ + return 20.0f * 128.0f; +} + +float3 tangent_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in tangent space"), + anno::noinline() +]] +{ + return math::normalize( + tangent_u * normal.x - /* flip_tangent_v */ + tangent_v * normal.y + + state::normal() * (normal.z)); +} + +float3 world_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in world space"), + anno::noinline() +]] +{ + return tangent_space_normal( + math::normalize( + normal.x * float3(tangent_u.x, tangent_v.x, state::normal().x) - + normal.y * float3(tangent_u.y, tangent_v.y, state::normal().y) + + normal.z * float3(tangent_u.z, tangent_v.z, state::normal().z)), + tangent_u, + tangent_v + ); +} + +export material OmniUe4Base( + float3 base_color = float3(0.0, 0.0, 0.0), + float metallic = 0.0, + float roughness = 0.5, + float specular = 0.5, + float3 normal = float3(0.0,0.0,1.0), + float clearcoat_weight = 0.0, + float clearcoat_roughness = 0.0, + float3 clearcoat_normal = float3(0.0,0.0,1.0), + uniform bool enable_opacity = true, + float opacity = 1.0, + float3 emissive_color = float3(0.0, 0.0, 0.0), + float3 displacement = float3(0.0), + uniform bool is_tangent_space_normal = true, + uniform bool two_sided = false, + uniform bool is_unlit = false +) +[[ + anno::display_name("Omni UE4 Base"), + anno::description("Omni UE4 Base, supports UE4 default lit and clearcoat shading model"), + anno::version( 1, 0, 0), + anno::author("NVIDIA CORPORATION"), + anno::key_words(string[]("omni", "UE4", "omniverse", "lit", "clearcoat", "generic")) +]] + = let { + color final_base_color = math::saturate(base_color); + float final_metallic = math::saturate(metallic); + float final_roughness = math::saturate(roughness); + float final_specular = math::saturate(specular); + color final_emissive_color = math::max(emissive_color, 0.0f) * emissive_multiplier(); /*factor for converting ue4 emissive to raw value*/ + float final_clearcoat_weight = math::saturate(clearcoat_weight); + float final_clearcoat_roughness = math::saturate(clearcoat_roughness); + float3 final_normal = math::normalize(normal); + float3 final_clearcoat_normal = math::normalize(clearcoat_normal); + + // - compute final roughness by squaring the "roughness" parameter + float alpha = final_roughness * final_roughness; + // reduce the reflectivity at grazing angles to avoid "dark edges" for high roughness due to the layering + float grazing_refl = math::max((1.0 - final_roughness), 0.0); + + float3 the_normal = is_unlit ? state::normal() : + (is_tangent_space_normal ? + tangent_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + )); + + // for the dielectric component we layer the glossy component on top of the diffuse one, + // the glossy layer has no color tint + + bsdf dielectric_component = df::custom_curve_layer( + weight: final_specular, + normal_reflectivity: 0.08, + grazing_reflectivity: grazing_refl, + layer: df::microfacet_ggx_smith_bsdf(roughness_u: alpha), + base: df::diffuse_reflection_bsdf(tint: final_base_color), + normal: the_normal); + + // the metallic component doesn't have a diffuse component, it's only glossy + // base_color is applied to tint it + bsdf metallic_component = df::microfacet_ggx_smith_bsdf(tint: final_base_color, roughness_u: alpha); + + // final BSDF is a linear blend between dielectric and metallic component + bsdf dielectric_metal_mix = + df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: metallic_component, + weight: final_metallic), + df::bsdf_component( + component: dielectric_component, + weight: 1.0-final_metallic) + ) + ); + + // clearcoat layer + float clearcoat_grazing_refl = math::max((1.0 - final_clearcoat_roughness), 0.0); + float clearcoat_alpha = final_clearcoat_roughness * final_clearcoat_roughness; + + float3 the_clearcoat_normal = is_tangent_space_normal ? tangent_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ); + + + bsdf clearcoat = + df::custom_curve_layer( + base: df::weighted_layer( + layer: dielectric_metal_mix, + weight: 1.0, + normal: final_clearcoat_weight == 0.0 ? state::normal() : the_normal + ), + layer: df::microfacet_ggx_smith_bsdf( + roughness_u: clearcoat_alpha, + tint: color(1.0) + ), + normal_reflectivity: 0.04, + grazing_reflectivity: clearcoat_grazing_refl, + normal: the_clearcoat_normal, + weight: final_clearcoat_weight + ); + bsdf surface = is_unlit ? bsdf() : clearcoat; +} +in material( + thin_walled: two_sided, // Graphene? + surface: material_surface( + scattering: surface, + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + backface: material_surface( + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + geometry: material_geometry( + displacement: displacement, + normal: final_clearcoat_weight == 0.0 ? the_normal : state::normal(), + cutout_opacity: enable_opacity ? opacity : 1.0 + ) +); diff --git a/Shelf/BP_StandardShelf17/Materials/OmniUe4Function.mdl b/Shelf/BP_StandardShelf17/Materials/OmniUe4Function.mdl new file mode 100644 index 0000000000000000000000000000000000000000..84f4f0da48ff31d03ee611373fe3a4d2e04c9079 --- /dev/null +++ b/Shelf/BP_StandardShelf17/Materials/OmniUe4Function.mdl @@ -0,0 +1,1413 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.1 - using absolute import paths when importing standard modules + +mdl 1.6; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + + +export float3 convert_to_left_hand(float3 vec3, uniform bool up_z = true, uniform bool is_position = true) +[[ + anno::description("convert from RH to LH"), + anno::noinline() +]] +{ + float4x4 ZupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, -1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4x4 YupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4 vec4 = float4(vec3.x, vec3.y, vec3.z, is_position ? 1.0f : 0.0f); + + vec4 = vec4 * (up_z ? ZupConversion : YupConversion); + + return float3(vec4.x, vec4.y, vec4.z); +} + +export float3 transform_vector_from_tangent_to_world(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from tangent space to world space"), + anno::noinline() +]] +{ + /* flip_tangent_v */ + return convert_to_left_hand( + tangent_u * vector.x - tangent_v * vector.y + state::normal() * vector.z, + up_z, false); +} + +export float3 transform_vector_from_world_to_tangent(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from world space to tangent space"), + anno::noinline() +]] +{ + float3 vecRH = convert_to_left_hand(vector, up_z, false); + /* flip_tangent_v */ + return vecRH.x * float3(tangent_u.x, -tangent_v.x, state::normal().x) + + vecRH.y * float3(tangent_u.y, -tangent_v.y, state::normal().y) + + vecRH.z * float3(tangent_u.z, -tangent_v.z, state::normal().z); +} + +export float4 unpack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Unpack a normal stored in a normal map"), + anno::noinline() +]] +{ + float2 normal_xy = float2(texture_sample.x, texture_sample.y); + + normal_xy = normal_xy * float2(2.0,2.0) - float2(1.0,1.0); + float normal_z = math::sqrt( math::saturate( 1.0 - math::dot( normal_xy, normal_xy ) ) ); + return float4( normal_xy.x, normal_xy.y, normal_z, 1.0 ); +} + +// for get color value from normal. +export float4 pack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Pack to color from a normal") +]] +{ + float2 return_xy = float2(texture_sample.x, texture_sample.y); + + return_xy = (return_xy + float2(1.0,1.0)) / float2(2.0,2.0); + + return float4( return_xy.x, return_xy.y, 0.0, 1.0 ); +} + +export float4 greyscale_texture_lookup( + float4 texture_sample = float4(0.0, 0.0, 0.0, 1.0) + ) +[[ + anno::description("Sampling a greyscale texture"), + anno::noinline() +]] +{ + return float4(texture_sample.x, texture_sample.x, texture_sample.x, texture_sample.x); +} + +export float3 pixel_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Pixel normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 vertex_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Vertex normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 landscape_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Landscape normal in world space") +]] +{ + float3 normalFromNormalmap = math::floor((::vertex_normal_world_space(up_z) * 0.5 + 0.5) * 255.0) / 255.0 * 2.0 - 1.0; + + float2 normalXY = float2(normalFromNormalmap.x, normalFromNormalmap.y); + return float3(normalXY.x, normalXY.y, math::sqrt(math::saturate(1.0 - math::dot(normalXY, normalXY)))); +} + +// Different implementation specific between mdl and hlsl for smoothstep +export float smoothstep(float a, float b, float l) +{ + if (a < b) + { + return math::smoothstep(a, b, l); + } + else if (a > b) + { + return 1.0 - math::smoothstep(b, a, l); + } + else + { + return l <= a ? 0.0 : 1.0; + } +} + +export float2 smoothstep(float2 a, float2 b, float2 l) +{ + return float2(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y)); +} + +export float3 smoothstep(float3 a, float3 b, float3 l) +{ + return float3(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z)); +} + +export float4 smoothstep(float4 a, float4 b, float4 l) +{ + return float4(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z), smoothstep(a.w, b.w, l.w)); +} + +export float2 smoothstep(float2 a, float2 b, float l) +{ + return float2(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l)); +} + +export float3 smoothstep(float3 a, float3 b, float l) +{ + return float3(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l)); +} + +export float4 smoothstep(float4 a, float4 b, float l) +{ + return float4(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l), smoothstep(a.w, b.w, l)); +} + +export float2 smoothstep(float a, float b, float2 l) +{ + return float2(smoothstep(a, b, l.x), smoothstep(a, b, l.y)); +} + +export float3 smoothstep(float a, float b, float3 l) +{ + return float3(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z)); +} + +export float4 smoothstep(float a, float b, float4 l) +{ + return float4(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z), smoothstep(a, b, l.w)); +} + +//------------------ Random from UE4 ----------------------- +float length2(float3 v) +{ + return math::dot(v, v); +} + +float3 GetPerlinNoiseGradientTextureAt(uniform texture_2d PerlinNoiseGradientTexture, float3 v) +{ + const float2 ZShear = float2(17.0f, 89.0f); + + float2 OffsetA = v.z * ZShear; + float2 TexA = (float2(v.x, v.y) + OffsetA + 0.5f) / 128.0f; + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA.x,1.0-TexA.y),tex::wrap_repeat,tex::wrap_repeat); + return float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z) * 2.0 - 1.0; +} + +float3 SkewSimplex(float3 In) +{ + return In + math::dot(In, float3(1.0 / 3.0f) ); +} +float3 UnSkewSimplex(float3 In) +{ + return In - math::dot(In, float3(1.0 / 6.0f) ); +} + +// 3D random number generator inspired by PCGs (permuted congruential generator) +// Using a **simple** Feistel cipher in place of the usual xor shift permutation step +// @param v = 3D integer coordinate +// @return three elements w/ 16 random bits each (0-0xffff). +// ~8 ALU operations for result.x (7 mad, 1 >>) +// ~10 ALU operations for result.xy (8 mad, 2 >>) +// ~12 ALU operations for result.xyz (9 mad, 3 >>) + +//TODO: uint3 +int3 Rand3DPCG16(int3 p) +{ + // taking a signed int then reinterpreting as unsigned gives good behavior for negatives + //TODO: uint3 + int3 v = int3(p); + + // Linear congruential step. These LCG constants are from Numerical Recipies + // For additional #'s, PCG would do multiple LCG steps and scramble each on output + // So v here is the RNG state + v = v * 1664525 + 1013904223; + + // PCG uses xorshift for the final shuffle, but it is expensive (and cheap + // versions of xorshift have visible artifacts). Instead, use simple MAD Feistel steps + // + // Feistel ciphers divide the state into separate parts (usually by bits) + // then apply a series of permutation steps one part at a time. The permutations + // use a reversible operation (usually ^) to part being updated with the result of + // a permutation function on the other parts and the key. + // + // In this case, I'm using v.x, v.y and v.z as the parts, using + instead of ^ for + // the combination function, and just multiplying the other two parts (no key) for + // the permutation function. + // + // That gives a simple mad per round. + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + + // only top 16 bits are well shuffled + return v >> 16; +} + +// Wraps noise for tiling texture creation +// @param v = unwrapped texture parameter +// @param bTiling = true to tile, false to not tile +// @param RepeatSize = number of units before repeating +// @return either original or wrapped coord +float3 NoiseTileWrap(float3 v, bool bTiling, float RepeatSize) +{ + return bTiling ? (math::frac(v / RepeatSize) * RepeatSize) : v; +} + +// Evaluate polynomial to get smooth transitions for Perlin noise +// only needed by Perlin functions in this file +// scalar(per component): 2 add, 5 mul +float4 PerlinRamp(float4 t) +{ + return t * t * t * (t * (t * 6 - 15) + 10); +} + +// Blum-Blum-Shub-inspired pseudo random number generator +// http://www.umbc.edu/~olano/papers/mNoise.pdf +// real BBS uses ((s*s) mod M) with bignums and M as the product of two huge Blum primes +// instead, we use a single prime M just small enough not to overflow +// note that the above paper used 61, which fits in a half, but is unusably bad +// @param Integer valued floating point seed +// @return random number in range [0,1) +// ~8 ALU operations (5 *, 3 frac) +float RandBBSfloat(float seed) +{ + float BBS_PRIME24 = 4093.0; + float s = math::frac(seed / BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + return s; +} + +// Modified noise gradient term +// @param seed - random seed for integer lattice position +// @param offset - [-1,1] offset of evaluation point from lattice point +// @return gradient direction (xyz) and contribution (w) from this lattice point +float4 MGradient(int seed, float3 offset) +{ + //TODO uint + int rand = Rand3DPCG16(int3(seed,0,0)).x; + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1.0 / 0x4000, 1.0 / 0x2000, 1.0 / 0x1000); + float3 direction = float3(int3(rand, rand, rand) & MGradientMask) * MGradientScale - 1; + return float4(direction.x, direction.y, direction.z, math::dot(direction, offset)); +} + +// compute Perlin and related noise corner seed values +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = true to return seed values for a repeating noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @param seed000-seed111 = hash function seeds for the eight corners +// @return fractional part of v +struct SeedValue +{ + float3 fv = float3(0); + float seed000 = 0; + float seed001 = 0; + float seed010 = 0; + float seed011 = 0; + float seed100 = 0; + float seed101 = 0; + float seed110 = 0; + float seed111 = 0; +}; + +SeedValue NoiseSeeds(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds; + seeds.fv = math::frac(v); + float3 iv = math::floor(v); + + const float3 primes = float3(19, 47, 101); + + if (bTiling) + { // can't algebraically combine with primes + seeds.seed000 = math::dot(primes, NoiseTileWrap(iv, true, RepeatSize)); + seeds.seed100 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 0), true, RepeatSize)); + seeds.seed010 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 0), true, RepeatSize)); + seeds.seed110 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 0), true, RepeatSize)); + seeds.seed001 = math::dot(primes, NoiseTileWrap(iv + float3(0, 0, 1), true, RepeatSize)); + seeds.seed101 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 1), true, RepeatSize)); + seeds.seed011 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 1), true, RepeatSize)); + seeds.seed111 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 1), true, RepeatSize)); + } + else + { // get to combine offsets with multiplication by primes in this case + seeds.seed000 = math::dot(iv, primes); + seeds.seed100 = seeds.seed000 + primes.x; + seeds.seed010 = seeds.seed000 + primes.y; + seeds.seed110 = seeds.seed100 + primes.y; + seeds.seed001 = seeds.seed000 + primes.z; + seeds.seed101 = seeds.seed100 + primes.z; + seeds.seed011 = seeds.seed010 + primes.z; + seeds.seed111 = seeds.seed110 + primes.z; + } + + return seeds; +} + +struct SimplexWeights +{ + float4 Result = float4(0); + float3 PosA = float3(0); + float3 PosB = float3(0); + float3 PosC = float3(0); + float3 PosD = float3(0); +}; + +// Computed weights and sample positions for simplex interpolation +// @return float4(a,b,c, d) Barycentric coordinate defined as Filtered = Tex(PosA) * a + Tex(PosB) * b + Tex(PosC) * c + Tex(PosD) * d +SimplexWeights ComputeSimplexWeights3D(float3 OrthogonalPos) +{ + SimplexWeights weights; + float3 OrthogonalPosFloor = math::floor(OrthogonalPos); + + weights.PosA = OrthogonalPosFloor; + weights.PosB = weights.PosA + float3(1, 1, 1); + + OrthogonalPos -= OrthogonalPosFloor; + + float Largest = math::max(OrthogonalPos.x, math::max(OrthogonalPos.y, OrthogonalPos.z)); + float Smallest = math::min(OrthogonalPos.x, math::min(OrthogonalPos.y, OrthogonalPos.z)); + + weights.PosC = weights.PosA + float3(Largest == OrthogonalPos.x, Largest == OrthogonalPos.y, Largest == OrthogonalPos.z); + weights.PosD = weights.PosA + float3(Smallest != OrthogonalPos.x, Smallest != OrthogonalPos.y, Smallest != OrthogonalPos.z); + + float RG = OrthogonalPos.x - OrthogonalPos.y; + float RB = OrthogonalPos.x - OrthogonalPos.z; + float GB = OrthogonalPos.y - OrthogonalPos.z; + + weights.Result.z = + math::min(math::max(0, RG), math::max(0, RB)) // X + + math::min(math::max(0, -RG), math::max(0, GB)) // Y + + math::min(math::max(0, -RB), math::max(0, -GB)); // Z + + weights.Result.w = + math::min(math::max(0, -RG), math::max(0, -RB)) // X + + math::min(math::max(0, RG), math::max(0, -GB)) // Y + + math::min(math::max(0, RB), math::max(0, GB)); // Z + + weights.Result.y = Smallest; + weights.Result.x = 1.0f - weights.Result.y - weights.Result.z - weights.Result.w; + + return weights; +} + +// filtered 3D gradient simple noise (few texture lookups, high quality) +// @param v >0 +// @return random number in the range -1 .. 1 +float SimplexNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 EvalPos) +{ + float3 OrthogonalPos = SkewSimplex(EvalPos); + + SimplexWeights Weights = ComputeSimplexWeights3D(OrthogonalPos); + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 32 bit) + float3 A = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosA); + float3 B = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosB); + float3 C = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosC); + float3 D = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosD); + + Weights.PosA = UnSkewSimplex(Weights.PosA); + Weights.PosB = UnSkewSimplex(Weights.PosB); + Weights.PosC = UnSkewSimplex(Weights.PosC); + Weights.PosD = UnSkewSimplex(Weights.PosD); + + float DistanceWeight; + + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosA)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float a = math::dot(A, EvalPos - Weights.PosA) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosB)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float b = math::dot(B, EvalPos - Weights.PosB) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosC)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float c = math::dot(C, EvalPos - Weights.PosC) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosD)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float d = math::dot(D, EvalPos - Weights.PosD) * DistanceWeight; + + return 32 * (a + b + c + d); +} + +// filtered 3D noise, can be optimized +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 v, bool bTiling, float RepeatSize) +{ + bTiling = true; + float3 fv = math::frac(v); + float3 iv0 = NoiseTileWrap(math::floor(v), bTiling, RepeatSize); + float3 iv1 = NoiseTileWrap(iv0 + 1, bTiling, RepeatSize); + + const int2 ZShear = int2(17, 89); + + float2 OffsetA = iv0.z * ZShear; + float2 OffsetB = OffsetA + ZShear; // non-tiling, use relative offset + if (bTiling) // tiling, have to compute from wrapped coordinates + { + OffsetB = iv1.z * ZShear; + } + + // Texture size scale factor + float ts = 1 / 128.0f; + + // texture coordinates for iv0.xy, as offset for both z slices + float2 TexA0 = (float2(iv0.x, iv0.y) + OffsetA + 0.5f) * ts; + float2 TexB0 = (float2(iv0.x, iv0.y) + OffsetB + 0.5f) * ts; + + // texture coordinates for iv1.xy, as offset for both z slices + float2 TexA1 = TexA0 + ts; // for non-tiling, can compute relative to existing coordinates + float2 TexB1 = TexB0 + ts; + if (bTiling) // for tiling, need to compute from wrapped coordinates + { + TexA1 = (float2(iv1.x, iv1.y) + OffsetA + 0.5f) * ts; + TexB1 = (float2(iv1.x, iv1.y) + OffsetB + 0.5f) * ts; + } + + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 8, 16 or 32 bit) + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 A = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 B = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 C = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 D = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 E = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 F = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 G = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 H = PerlinNoiseColor * 2 - 1; + + float a = math::dot(A, fv - float3(0, 0, 0)); + float b = math::dot(B, fv - float3(1, 0, 0)); + float c = math::dot(C, fv - float3(0, 1, 0)); + float d = math::dot(D, fv - float3(1, 1, 0)); + float e = math::dot(E, fv - float3(0, 0, 1)); + float f = math::dot(F, fv - float3(1, 0, 1)); + float g = math::dot(G, fv - float3(0, 1, 1)); + float h = math::dot(H, fv - float3(1, 1, 1)); + + float4 Weights = PerlinRamp(math::frac(float4(fv.x, fv.y, fv.z, 0))); + + float i = math::lerp(math::lerp(a, b, Weights.x), math::lerp(c, d, Weights.x), Weights.y); + float j = math::lerp(math::lerp(e, f, Weights.x), math::lerp(g, h, Weights.x), Weights.y); + + return math::lerp(i, j, Weights.z); +} + +// @return random number in the range -1 .. 1 +// scalar: 6 frac, 31 mul/mad, 15 add, +float FastGradientPerlinNoise3D_TEX(uniform texture_3d PerlinNoise3DTexture, float3 xyz) +{ + // needs to be the same value when creating the PerlinNoise3D texture + float Extent = 16; + + // last texel replicated and needed for filtering + // scalar: 3 frac, 6 mul + xyz = math::frac(xyz / (Extent - 1)) * (Extent - 1); + + // scalar: 3 frac + float3 uvw = math::frac(xyz); + // = floor(xyz); + // scalar: 3 add + float3 p0 = xyz - uvw; +// float3 f = math::pow(uvw, 2) * 3.0f - math::pow(uvw, 3) * 2.0f; // original perlin hermite (ok when used without bump mapping) + // scalar: 2*3 add 5*3 mul + float4 pr = PerlinRamp(float4(uvw.x, uvw.y, uvw.z, 0)); + float3 f = float3(pr.x, pr.y, pr.z); // new, better with continues second derivative for bump mapping + // scalar: 3 add + float3 p = p0 + f; + // scalar: 3 mad + // TODO: need reverse??? + float4 NoiseSample = tex::lookup_float4(PerlinNoise3DTexture, p / Extent + 0.5f / Extent); // +0.5f to get rid of bilinear offset + + // reconstruct from 8bit (using mad with 2 constants and dot4 was same instruction count) + // scalar: 4 mad, 3 mul, 3 add + float3 n = float3(NoiseSample.x, NoiseSample.y, NoiseSample.z) * 255.0f / 127.0f - 1.0f; + float d = NoiseSample.w * 255.f - 127; + return math::dot(xyz, n) - d; +} + +// Perlin-style "Modified Noise" +// http://www.umbc.edu/~olano/papers/index.html#mNoise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = MGradient(int(seeds.seed000), seeds.fv - float3(0, 0, 0)).w; + float rand100 = MGradient(int(seeds.seed100), seeds.fv - float3(1, 0, 0)).w; + float rand010 = MGradient(int(seeds.seed010), seeds.fv - float3(0, 1, 0)).w; + float rand110 = MGradient(int(seeds.seed110), seeds.fv - float3(1, 1, 0)).w; + float rand001 = MGradient(int(seeds.seed001), seeds.fv - float3(0, 0, 1)).w; + float rand101 = MGradient(int(seeds.seed101), seeds.fv - float3(1, 0, 1)).w; + float rand011 = MGradient(int(seeds.seed011), seeds.fv - float3(0, 1, 1)).w; + float rand111 = MGradient(int(seeds.seed111), seeds.fv - float3(1, 1, 1)).w; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D value noise - used to be incorrectly called Perlin noise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float ValueNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = RandBBSfloat(seeds.seed000) * 2 - 1; + float rand100 = RandBBSfloat(seeds.seed100) * 2 - 1; + float rand010 = RandBBSfloat(seeds.seed010) * 2 - 1; + float rand110 = RandBBSfloat(seeds.seed110) * 2 - 1; + float rand001 = RandBBSfloat(seeds.seed001) * 2 - 1; + float rand101 = RandBBSfloat(seeds.seed101) * 2 - 1; + float rand011 = RandBBSfloat(seeds.seed011) * 2 - 1; + float rand111 = RandBBSfloat(seeds.seed111) * 2 - 1; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D jitter offset within a voronoi noise cell +// @param pos - integer lattice corner +// @return random offsets vector +float3 VoronoiCornerSample(float3 pos, int Quality) +{ + // random values in [-0.5, 0.5] + float3 noise = float3(Rand3DPCG16(int3(pos))) / 0xffff - 0.5; + + // quality level 1 or 2: searches a 2x2x2 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 2x2x2 search + if (Quality <= 2) + { + return math::normalize(noise) * 0.2588; + } + + // quality level 3: searches a 3x3x3 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 3x3x3 search + if (Quality == 3) + { + return math::normalize(noise) * 0.3090; + } + + // quality level 4: jitter to anywhere in the cell, needs 4x4x4 search + return noise; +} + +// compare previous best with a new candidate +// not producing point locations makes it easier for compiler to eliminate calculations when they're not needed +// @param minval = location and distance of best candidate seed point before the new one +// @param candidate = candidate seed point +// @param offset = 3D offset to new candidate seed point +// @param bDistanceOnly = if true, only set maxval.w with distance, otherwise maxval.w is distance and maxval.xyz is position +// @return position (if bDistanceOnly is false) and distance to closest seed point so far +float4 VoronoiCompare(float4 minval, float3 candidate, float3 offset, bool bDistanceOnly) +{ + if (bDistanceOnly) + { + return float4(0, 0, 0, math::min(minval.w, math::dot(offset, offset))); + } + else + { + float newdist = math::dot(offset, offset); + return newdist > minval.w ? minval : float4(candidate.x, candidate.y, candidate.z, newdist); + } +} + +// 220 instruction Worley noise +float4 VoronoiNoise3D_ALU(float3 v, int Quality, bool bTiling, float RepeatSize, bool bDistanceOnly) +{ + float3 fv = math::frac(v), fv2 = math::frac(v + 0.5); + float3 iv = math::floor(v), iv2 = math::floor(v + 0.5); + + // with initial minimum distance = infinity (or at least bigger than 4), first min is optimized away + float4 mindist = float4(0,0,0,100); + float3 p, offset; + + // quality level 3: do a 3x3x3 search + if (Quality == 3) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 1; ++offset_x) + { + for (offset_y = -1; offset_y <= 1; ++offset_y) + { + for (offset_z = -1; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + + // everybody else searches a base 2x2x2 neighborhood + else + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = 0; offset_x <= 1; ++offset_x) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // quality level 2, do extra set of points, offset by half a cell + if (Quality == 2) + { + // 467 is just an offset to a different area in the random number field to avoid similar neighbor artifacts + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize) + 467, Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + } + + // quality level 4: add extra sets of four cells in each direction + if (Quality >= 4) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 2; offset_x += 3) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + // along x axis + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along y axis + p = float3(offset.y, offset.z, offset.x) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.y, offset.z, offset.x), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along z axis + p = float3(offset.z, offset.x, offset.y) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.z, offset.x, offset.y), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + } + } + } + } + + // transform squared distance to real distance + return float4(mindist.x, mindist.y, mindist.z, math::sqrt(mindist.w)); +} + +// Coordinates for corners of a Simplex tetrahedron +// Based on McEwan et al., Efficient computation of noise in GLSL, JGT 2011 +// @param v = 3D noise argument +// @return 4 corner locations +float4x3 SimplexCorners(float3 v) +{ + // find base corner by skewing to tetrahedral space and back + float3 tet = math::floor(v + v.x/3 + v.y/3 + v.z/3); + float3 base = tet - tet.x/6 - tet.y/6 - tet.z/6; + float3 f = v - base; + + // Find offsets to other corners (McEwan did this in tetrahedral space, + // but since skew is along x=y=z axis, this works in Euclidean space too.) + float3 g = math::step(float3(f.y,f.z,f.x), float3(f.x,f.y,f.z)), h = 1 - float3(g.z, g.x, g.y); + float3 a1 = math::min(g, h) - 1.0 / 6.0, a2 = math::max(g, h) - 1.0 / 3.0; + + // four corners + return float4x3(base, base + a1, base + a2, base + 0.5); +} + +// Improved smoothing function for simplex noise +// @param f = fractional distance to four tetrahedral corners +// @return weight for each corner +float4 SimplexSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + return (1 * scale + s*(-3 * scale + s*(3 * scale - s*scale))); +} + +// Derivative of simplex noise smoothing function +// @param f = fractional distanc eto four tetrahedral corners +// @return derivative of smoothing function for each corner by x, y and z +float3x4 SimplexDSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + s = -12 * scale + s*(24 * scale - s * 12 * scale); + + return float3x4( + s * float4(f[0][0], f[1][0], f[2][0], f[3][0]), + s * float4(f[0][1], f[1][1], f[2][1], f[3][1]), + s * float4(f[0][2], f[1][2], f[2][2], f[3][2])); +} + +// Simplex noise and its Jacobian derivative +// @param v = 3D noise argument +// @param bTiling = whether to repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension, must be a multiple of 3 +// @return float3x3 Jacobian in J[*].xyz, vector noise in J[*].w +// J[0].w, J[1].w, J[2].w is a Perlin-style simplex noise with vector output, e.g. (Nx, Ny, Nz) +// J[i].x is X derivative of the i'th component of the noise so J[2].x is dNz/dx +// You can use this to compute the noise, gradient, curl, or divergence: +// float3x4 J = JacobianSimplex_ALU(...); +// float3 VNoise = float3(J[0].w, J[1].w, J[2].w); // 3D noise +// float3 Grad = J[0].xyz; // gradient of J[0].w +// float3 Curl = float3(J[1][2]-J[2][1], J[2][0]-J[0][2], J[0][1]-J[1][2]); +// float Div = J[0][0]+J[1][1]+J[2][2]; +// All of these are confirmed to compile out all unneeded terms. +// So Grad of X doesn't compute Y or Z components, and VNoise doesn't do any of the derivative computation. +float3x4 JacobianSimplex_ALU(float3 v, bool bTiling, float RepeatSize) +{ + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1. / 0x4000, 1. / 0x2000, 1. / 0x1000); + + // corners of tetrahedron + float4x3 T = SimplexCorners(v); + // TODO: uint3 + int3 rand = int3(0); + float4x3 gvec0 = float4x3(1.0); + float4x3 gvec1 = float4x3(1.0); + float4x3 gvec2 = float4x3(1.0); + float4x3 fv = float4x3(1.0); + float3x4 grad = float3x4(1.0); + + // processing of tetrahedral vertices, unrolled + // to compute gradient at each corner + fv[0] = v - T[0]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[0] + 0.5, bTiling, RepeatSize)))); + gvec0[0] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[0] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[0] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][0] = math::dot(gvec0[0], fv[0]); + grad[1][0] = math::dot(gvec1[0], fv[0]); + grad[2][0] = math::dot(gvec2[0], fv[0]); + + fv[1] = v - T[1]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[1] + 0.5, bTiling, RepeatSize)))); + gvec0[1] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][1] = math::dot(gvec0[1], fv[1]); + grad[1][1] = math::dot(gvec1[1], fv[1]); + grad[2][1] = math::dot(gvec2[1], fv[1]); + + fv[2] = v - T[2]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[2] + 0.5, bTiling, RepeatSize)))); + gvec0[2] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[2] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[2] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][2] = math::dot(gvec0[2], fv[2]); + grad[1][2] = math::dot(gvec1[2], fv[2]); + grad[2][2] = math::dot(gvec2[2], fv[2]); + + fv[3] = v - T[3]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[3] + 0.5, bTiling, RepeatSize)))); + gvec0[3] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[3] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[3] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][3] = math::dot(gvec0[3], fv[3]); + grad[1][3] = math::dot(gvec1[3], fv[3]); + grad[2][3] = math::dot(gvec2[3], fv[3]); + + // blend gradients + float4 sv = SimplexSmooth(fv); + float3x4 ds = SimplexDSmooth(fv); + + float3x4 jacobian = float3x4(1.0); + float3 vec0 = gvec0*sv + grad[0]*ds; // NOTE: mdl is column major, convert from UE4 (row major) + jacobian[0] = float4(vec0.x, vec0.y, vec0.z, math::dot(sv, grad[0])); + float3 vec1 = gvec1*sv + grad[1]*ds; + jacobian[1] = float4(vec1.x, vec1.y, vec1.z, math::dot(sv, grad[1])); + float3 vec2 = gvec2*sv + grad[2]*ds; + jacobian[2] = float4(vec2.x, vec2.y, vec2.z, math::dot(sv, grad[2])); + + return jacobian; +} + +// While RepeatSize is a float here, the expectation is that it would be largely integer values coming in from the UI. The downstream logic assumes +// floats for all called functions (NoiseTileWrap) and this prevents any float-to-int conversion errors from automatic type conversion. +float Noise3D_Multiplexer(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, int Function, float3 Position, int Quality, bool bTiling, float RepeatSize) +{ + // verified, HLSL compiled out the switch if Function is a constant + switch(Function) + { + case 0: + return SimplexNoise3D_TEX(PerlinNoiseGradientTexture, Position); + case 1: + return GradientNoise3D_TEX(PerlinNoiseGradientTexture, Position, bTiling, RepeatSize); + case 2: + return FastGradientPerlinNoise3D_TEX(PerlinNoise3DTexture, Position); + case 3: + return GradientNoise3D_ALU(Position, bTiling, RepeatSize); + case 4: + return ValueNoise3D_ALU(Position, bTiling, RepeatSize); + case 5: + return VoronoiNoise3D_ALU(Position, Quality, bTiling, RepeatSize, true).w * 2.0 - 1.0; + } + return 0; +} +//---------------------------------------------------------- + +export float noise(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, float3 Position, float Scale, float Quality, float Function, float Turbulence, float Levels, float OutputMin, float OutputMax, float LevelScale, float FilterWidth, float Tiling, float RepeatSize) +[[ + anno::description("Noise"), + anno::noinline() +]] +{ + Position *= Scale; + FilterWidth *= Scale; + + float Out = 0.0f; + float OutScale = 1.0f; + float InvLevelScale = 1.0f / LevelScale; + + int iFunction(Function); + int iQuality(Quality); + int iLevels(Levels); + bool bTurbulence(Turbulence); + bool bTiling(Tiling); + + for(int i = 0; i < iLevels; ++i) + { + // fade out noise level that are too high frequent (not done through dynamic branching as it usually requires gradient instructions) + OutScale *= math::saturate(1.0 - FilterWidth); + + if(bTurbulence) + { + Out += math::abs(Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize)) * OutScale; + } + else + { + Out += Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize) * OutScale; + } + + Position *= LevelScale; + RepeatSize *= LevelScale; + OutScale *= InvLevelScale; + FilterWidth *= LevelScale; + } + + if(!bTurbulence) + { + // bring -1..1 to 0..1 range + Out = Out * 0.5f + 0.5f; + } + + // Out is in 0..1 range + return math::lerp(OutputMin, OutputMax, Out); +} + +// Material node for noise functions returning a vector value +// @param LevelScale usually 2 but higher values allow efficient use of few levels +// @return in user defined range (OutputMin..OutputMax) +export float4 vector4_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise"), + anno::noinline() +]] +{ + float4 result = float4(0,0,0,1); + float3 ret = float3(0); + int iQuality = int(Quality); + int iFunction = int(Function); + bool bTiling = Tiling > 0.0; + + float3x4 Jacobian = JacobianSimplex_ALU(Position, bTiling, TileSize); // compiled out if not used + + // verified, HLSL compiled out the switch if Function is a constant + switch (iFunction) + { + case 0: // Cellnoise + ret = float3(Rand3DPCG16(int3(math::floor(NoiseTileWrap(Position, bTiling, TileSize))))) / 0xffff; + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 1: // Color noise + ret = float3(Jacobian[0].w, Jacobian[1].w, Jacobian[2].w); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 2: // Gradient + result = Jacobian[0]; + break; + case 3: // Curl + ret = float3(Jacobian[2][1] - Jacobian[1][2], Jacobian[0][2] - Jacobian[2][0], Jacobian[1][0] - Jacobian[0][1]); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 4: // Voronoi + result = VoronoiNoise3D_ALU(Position, iQuality, bTiling, TileSize, false); + break; + } + return result; +} + +export float3 vector3_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise float3 version"), + anno::noinline() +]] +{ + float4 noise = vector4_noise(Position, Quality, Function, Tiling, TileSize); + return float3(noise.x, noise.y, noise.z); +} + + +// workaround for ue4 fresnel (without supporting for camera vector) : replacing it with 0.0, means facing to the view +export float fresnel(float exponent [[anno::unused()]], float base_reflect_fraction [[anno::unused()]], float3 normal [[anno::unused()]]) +[[ + anno::description("Fresnel"), + anno::noinline() +]] +{ + return 0.0; +} + +export float fresnel_function(float3 normal_vector [[anno::unused()]], float3 camera_vector [[anno::unused()]], + bool invert_fresnel [[anno::unused()]], float power [[anno::unused()]], + bool use_cheap_contrast [[anno::unused()]], float cheap_contrast_dark [[anno::unused()]], float cheap_contrast_bright [[anno::unused()]], + bool clamp_fresnel_dot_product [[anno::unused()]]) +[[ + anno::description("Fresnel Function"), + anno::noinline() +]] +{ + return 0.0; +} + +export float3 camera_vector(uniform bool up_z = true) +[[ + anno::description("Camera Vector"), + anno::noinline() +]] +{ + // assume camera postion is 0,0,0 + return math::normalize(float3(0) - convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)); +} + +export float pixel_depth() +[[ + anno::description("Pixel Depth"), + anno::noinline() +]] +{ + return 256.0f; +} + +export float scene_depth() +[[ + anno::description("Scene Depth") +]] +{ + return 65500.0f; +} + +export float3 scene_color() +[[ + anno::description("Scene Color") +]] +{ + return float3(1.0f); +} + +export float4 vertex_color() +[[ + anno::description("Vertex Color"), + anno::noinline() +]] +{ + return float4(1.0f); +} + +export float4 vertex_color_from_coordinate(int VertexColorCoordinateIndex) +[[ + anno::description("Vertex Color for float2 PrimVar"), + anno::noinline() +]] +{ + // Kit only supports 4 uv sets, 2 uvs are available to vertex color. if vertex color index is invalid, output the constant WHITE color intead + return (VertexColorCoordinateIndex > 2) ? float4(1.0f) : float4(state::texture_coordinate(VertexColorCoordinateIndex).x, state::texture_coordinate(VertexColorCoordinateIndex).y, state::texture_coordinate(VertexColorCoordinateIndex+1).x, state::texture_coordinate(VertexColorCoordinateIndex+1).y); +} + +export float3 camera_position() +[[ + anno::description("Camera Position"), + anno::noinline() +]] +{ + return float3(1000.0f, 0, 0); +} + +export float3 rotate_about_axis(float4 NormalizedRotationAxisAndAngle, float3 PositionOnAxis, float3 Position) +[[ + anno::description("Rotates Position about the given axis by the given angle") +]] +{ + // Project Position onto the rotation axis and find the closest point on the axis to Position + float3 NormalizedRotationAxis = float3(NormalizedRotationAxisAndAngle.x,NormalizedRotationAxisAndAngle.y,NormalizedRotationAxisAndAngle.z); + float3 ClosestPointOnAxis = PositionOnAxis + NormalizedRotationAxis * math::dot(NormalizedRotationAxis, Position - PositionOnAxis); + // Construct orthogonal axes in the plane of the rotation + float3 UAxis = Position - ClosestPointOnAxis; + float3 VAxis = math::cross(NormalizedRotationAxis, UAxis); + float[2] SinCosAngle = math::sincos(NormalizedRotationAxisAndAngle.w); + // Rotate using the orthogonal axes + float3 R = UAxis * SinCosAngle[1] + VAxis * SinCosAngle[0]; + // Reconstruct the rotated world space position + float3 RotatedPosition = ClosestPointOnAxis + R; + // Convert from position to a position offset + return RotatedPosition - Position; +} + +export float2 rotate_scale_offset_texcoords(float2 InTexCoords, float4 InRotationScale, float2 InOffset) +[[ + anno::description("Returns a float2 texture coordinate after 2x2 transform and offset applied") +]] +{ + return float2(math::dot(InTexCoords, float2(InRotationScale.x, InRotationScale.y)), math::dot(InTexCoords, float2(InRotationScale.z, InRotationScale.w))) + InOffset; +} + +export float3 reflection_custom_world_normal(float3 WorldNormal, bool bNormalizeInputNormal, uniform bool up_z = true) +[[ + anno::description("Reflection vector about the specified world space normal") +]] +{ + if (bNormalizeInputNormal) + { + WorldNormal = math::normalize(WorldNormal); + } + + return -camera_vector(up_z) + WorldNormal * math::dot(WorldNormal, camera_vector(up_z)) * 2.0; +} + +export float3 reflection_vector(uniform bool up_z = true) +[[ + anno::description("Reflection Vector"), + anno::noinline() +]] +{ + float3 normal = convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); + return reflection_custom_world_normal(normal, false, up_z); +} + +export float dither_temporalAA(float AlphaThreshold = 0.5f, float Random = 1.0f [[anno::unused()]]) +[[ + anno::description("Dither TemporalAA"), + anno::noinline() +]] +{ + return AlphaThreshold; +} + +export float3 black_body( float Temp ) +[[ + anno::description("Black Body"), + anno::noinline() +]] +{ + float u = ( 0.860117757f + 1.54118254e-4f * Temp + 1.28641212e-7f * Temp*Temp ) / ( 1.0f + 8.42420235e-4f * Temp + 7.08145163e-7f * Temp*Temp ); + float v = ( 0.317398726f + 4.22806245e-5f * Temp + 4.20481691e-8f * Temp*Temp ) / ( 1.0f - 2.89741816e-5f * Temp + 1.61456053e-7f * Temp*Temp ); + + float x = 3*u / ( 2*u - 8*v + 4 ); + float y = 2*v / ( 2*u - 8*v + 4 ); + float z = 1 - x - y; + + float Y = 1; + float X = Y/y * x; + float Z = Y/y * z; + + float3x3 XYZtoRGB = float3x3( + float3(3.2404542, -1.5371385, -0.4985314), + float3(-0.9692660, 1.8760108, 0.0415560), + float3(0.0556434, -0.2040259, 1.0572252) + ); + + return XYZtoRGB * float3( X, Y, Z ) * math::pow( 0.0004 * Temp, 4 ); +} + +export float per_instance_random(uniform texture_2d PerlinNoiseGradientTexture, int NumberInstances) +[[ + anno::description("Per Instance Random"), + anno::noinline() +]] +{ + float weight = state::object_id() / float(NumberInstances); + return NumberInstances == 0 ? 0.0 : tex::lookup_float4(PerlinNoiseGradientTexture, float2(weight, 1.0 - weight), tex::wrap_repeat, tex::wrap_repeat).x; +} + +//------------------ Hair from UE4 ----------------------- +float3 hair_absorption_to_color(float3 A) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::exp(-math::sqrt(A) * D); +} + +float3 hair_color_to_absorption(float3 C) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::pow(math::log(C) / D, 2.0f); +} + +export float3 get_hair_color_from_melanin(float InMelanin, float InRedness, float3 InDyeColor) +[[ + anno::description("Hair Color") +]] +{ + InMelanin = math::saturate(InMelanin); + InRedness = math::saturate(InRedness); + float Melanin = -math::log(math::max(1 - InMelanin, 0.0001f)); + float Eumelanin = Melanin * (1 - InRedness); + float Pheomelanin = Melanin * InRedness; + + float3 DyeAbsorption = hair_color_to_absorption(math::saturate(InDyeColor)); + float3 Absorption = Eumelanin * float3(0.506f, 0.841f, 1.653f) + Pheomelanin * float3(0.343f, 0.733f, 1.924f); + + return hair_absorption_to_color(Absorption + DyeAbsorption); +} + +export float3 local_object_bounds_min() +[[ + anno::description("Local Object Bounds Min"), + anno::noinline() +]] +{ + return float3(0.0); +} + +export float3 local_object_bounds_max() +[[ + anno::description("Local Object Bounds Max"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float3 object_bounds() +[[ + anno::description("Object Bounds"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float object_radius() +[[ + anno::description("Object Radius"), + anno::noinline() +]] +{ + return 100.0f; +} + +export float3 object_world_position(uniform bool up_z = true) +[[ + anno::description("Object World Position"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)*state::meters_per_scene_unit()*100.0; +} + +export float3 object_orientation() +[[ + anno::description("Object Orientation"), + anno::noinline() +]] +{ + return float3(0); +} + +export float rcp(float x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float2 rcp(float2 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float3 rcp(float3 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float4 rcp(float4 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export int BitFieldExtractI32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractI32 int"), + anno::noinline() +]] +{ + Size &= 3; + Offset &= 3; + + if (Size == 0) + return 0; + else if (Offset + Size < 32) + return (Data << (32 - Size - Offset)) >> (32 - Size); + else + return Data >> Offset; +} + +export int BitFieldExtractI32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractI32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(int(Data), int(Size), int(Offset)); +} + +export int BitFieldExtractU32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractU32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export int BitFieldExtractU32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractU32 int"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export float3 EyeAdaptationInverseLookup(float3 LightValue, float Alpha) +[[ + anno::description("EyeAdaptationInverseLookup"), + anno::noinline() +]] +{ + float Adaptation = 1.0f; + + // When Alpha=0.0, we want to multiply by 1.0. when Alpha = 1.0, we want to multiply by 1/Adaptation. + // So the lerped value is: + // LerpLogScale = Lerp(log(1),log(1/Adaptaiton),T) + // Which is simplified as: + // LerpLogScale = Lerp(0,-log(Adaptation),T) + // LerpLogScale = -T * logAdaptation; + + float LerpLogScale = -Alpha * math::log(Adaptation); + float Scale = math::exp(LerpLogScale); + return LightValue * Scale; +} diff --git a/Shelf/BP_StandardShelf17/Materials/Textures/T_Default_BC.png b/Shelf/BP_StandardShelf17/Materials/Textures/T_Default_BC.png new file mode 100644 index 0000000000000000000000000000000000000000..3ffb615216a543684b72182bc2b93df642feb0ef --- /dev/null +++ b/Shelf/BP_StandardShelf17/Materials/Textures/T_Default_BC.png @@ -0,0 +1,3 @@ +version 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::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material MI_GondolaShelf( + float Tile = 1.0 + [[ + anno::display_name("Tile"), + anno::ui_order(32), + anno::in_group("Textures") + ]], + uniform texture_2d Normal = texture_2d("./Textures/T_Default_N.png",::tex::gamma_linear) + [[ + anno::display_name("Normal"), + anno::ui_order(32), + anno::in_group("Textures"), + sampler_normal() + ]], + float NormalIntensity = 1.0 + [[ + anno::display_name("Normal Intensity"), + anno::ui_order(32), + anno::in_group("Textures") + ]], + float4 AlbedoColor = float4(1.0,1.0,1.0,1.0) + [[ + anno::display_name("Albedo Color"), + anno::ui_order(32), + anno::in_group("Coloring") + ]], + uniform texture_2d BaseColor = texture_2d("./Textures/T_Default_BC.png",::tex::gamma_srgb) + [[ + anno::display_name("Base Color"), + anno::ui_order(32), + anno::in_group("Textures"), + sampler_color() + ]], + uniform texture_2d RMAM = texture_2d("./Textures/T_Default_RMA.png",::tex::gamma_linear) + [[ + anno::display_name("RMAM"), + anno::ui_order(32), + anno::in_group("Textures"), + sampler_masks() + ]], + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + float2 Local0 = (CustomizedUV0_mdl * Tile); + float4 Local1 = ::unpack_normal_map(tex::lookup_float4(Normal,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat)); + float Local2 = (1.0 - NormalIntensity); + float3 Local3 = math::lerp(float3(Local1.x,Local1.y,Local1.z),float3(0.0,0.0,1.0),Local2); + + float3 Normal_mdl = Local3; + + float4 Local4 = tex::lookup_float4(BaseColor,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 Local5 = (float3(AlbedoColor.x,AlbedoColor.y,AlbedoColor.z) * float3(Local4.x,Local4.y,Local4.z)); + float4 Local6 = tex::lookup_float4(RMAM,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float OpacityMask_mdl = 1.0; + float3 BaseColor_mdl = Local5; + float Metallic_mdl = Local6.y; + float Specular_mdl = 0.5; + float Roughness_mdl = Local6.x; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_StandardShelf2/Materials/OmniUe4Base.mdl b/Shelf/BP_StandardShelf2/Materials/OmniUe4Base.mdl new file mode 100644 index 0000000000000000000000000000000000000000..a441fbaf28040302c7aaabfbcf14b24a85bdf643 --- /dev/null +++ b/Shelf/BP_StandardShelf2/Materials/OmniUe4Base.mdl @@ -0,0 +1,224 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.0 - first version +//* 1.0.1 - merge unlit template +//* 1.0.2 - Fix EDF in the back side: the EDF contained in surface is only used for the front side and not for the back side +//* 1.0.3 - UE4 normal mapping: Geometry normal shouldn't be changed +//* 1.0.4 - using absolute import paths when importing standard modules + +mdl 1.3; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + +float emissive_multiplier() +[[ + anno::description("the multiplier to convert UE4 emissive to raw data"), + anno::noinline() +]] +{ + return 20.0f * 128.0f; +} + +float3 tangent_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in tangent space"), + anno::noinline() +]] +{ + return math::normalize( + tangent_u * normal.x - /* flip_tangent_v */ + tangent_v * normal.y + + state::normal() * (normal.z)); +} + +float3 world_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in world space"), + anno::noinline() +]] +{ + return tangent_space_normal( + math::normalize( + normal.x * float3(tangent_u.x, tangent_v.x, state::normal().x) - + normal.y * float3(tangent_u.y, tangent_v.y, state::normal().y) + + normal.z * float3(tangent_u.z, tangent_v.z, state::normal().z)), + tangent_u, + tangent_v + ); +} + +export material OmniUe4Base( + float3 base_color = float3(0.0, 0.0, 0.0), + float metallic = 0.0, + float roughness = 0.5, + float specular = 0.5, + float3 normal = float3(0.0,0.0,1.0), + float clearcoat_weight = 0.0, + float clearcoat_roughness = 0.0, + float3 clearcoat_normal = float3(0.0,0.0,1.0), + uniform bool enable_opacity = true, + float opacity = 1.0, + float3 emissive_color = float3(0.0, 0.0, 0.0), + float3 displacement = float3(0.0), + uniform bool is_tangent_space_normal = true, + uniform bool two_sided = false, + uniform bool is_unlit = false +) +[[ + anno::display_name("Omni UE4 Base"), + anno::description("Omni UE4 Base, supports UE4 default lit and clearcoat shading model"), + anno::version( 1, 0, 0), + anno::author("NVIDIA CORPORATION"), + anno::key_words(string[]("omni", "UE4", "omniverse", "lit", "clearcoat", "generic")) +]] + = let { + color final_base_color = math::saturate(base_color); + float final_metallic = math::saturate(metallic); + float final_roughness = math::saturate(roughness); + float final_specular = math::saturate(specular); + color final_emissive_color = math::max(emissive_color, 0.0f) * emissive_multiplier(); /*factor for converting ue4 emissive to raw value*/ + float final_clearcoat_weight = math::saturate(clearcoat_weight); + float final_clearcoat_roughness = math::saturate(clearcoat_roughness); + float3 final_normal = math::normalize(normal); + float3 final_clearcoat_normal = math::normalize(clearcoat_normal); + + // - compute final roughness by squaring the "roughness" parameter + float alpha = final_roughness * final_roughness; + // reduce the reflectivity at grazing angles to avoid "dark edges" for high roughness due to the layering + float grazing_refl = math::max((1.0 - final_roughness), 0.0); + + float3 the_normal = is_unlit ? state::normal() : + (is_tangent_space_normal ? + tangent_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + )); + + // for the dielectric component we layer the glossy component on top of the diffuse one, + // the glossy layer has no color tint + + bsdf dielectric_component = df::custom_curve_layer( + weight: final_specular, + normal_reflectivity: 0.08, + grazing_reflectivity: grazing_refl, + layer: df::microfacet_ggx_smith_bsdf(roughness_u: alpha), + base: df::diffuse_reflection_bsdf(tint: final_base_color), + normal: the_normal); + + // the metallic component doesn't have a diffuse component, it's only glossy + // base_color is applied to tint it + bsdf metallic_component = df::microfacet_ggx_smith_bsdf(tint: final_base_color, roughness_u: alpha); + + // final BSDF is a linear blend between dielectric and metallic component + bsdf dielectric_metal_mix = + df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: metallic_component, + weight: final_metallic), + df::bsdf_component( + component: dielectric_component, + weight: 1.0-final_metallic) + ) + ); + + // clearcoat layer + float clearcoat_grazing_refl = math::max((1.0 - final_clearcoat_roughness), 0.0); + float clearcoat_alpha = final_clearcoat_roughness * final_clearcoat_roughness; + + float3 the_clearcoat_normal = is_tangent_space_normal ? tangent_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ); + + + bsdf clearcoat = + df::custom_curve_layer( + base: df::weighted_layer( + layer: dielectric_metal_mix, + weight: 1.0, + normal: final_clearcoat_weight == 0.0 ? state::normal() : the_normal + ), + layer: df::microfacet_ggx_smith_bsdf( + roughness_u: clearcoat_alpha, + tint: color(1.0) + ), + normal_reflectivity: 0.04, + grazing_reflectivity: clearcoat_grazing_refl, + normal: the_clearcoat_normal, + weight: final_clearcoat_weight + ); + bsdf surface = is_unlit ? bsdf() : clearcoat; +} +in material( + thin_walled: two_sided, // Graphene? + surface: material_surface( + scattering: surface, + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + backface: material_surface( + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + geometry: material_geometry( + displacement: displacement, + normal: final_clearcoat_weight == 0.0 ? the_normal : state::normal(), + cutout_opacity: enable_opacity ? opacity : 1.0 + ) +); diff --git a/Shelf/BP_StandardShelf2/Materials/OmniUe4Function.mdl b/Shelf/BP_StandardShelf2/Materials/OmniUe4Function.mdl new file mode 100644 index 0000000000000000000000000000000000000000..84f4f0da48ff31d03ee611373fe3a4d2e04c9079 --- /dev/null +++ b/Shelf/BP_StandardShelf2/Materials/OmniUe4Function.mdl @@ -0,0 +1,1413 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.1 - using absolute import paths when importing standard modules + +mdl 1.6; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + + +export float3 convert_to_left_hand(float3 vec3, uniform bool up_z = true, uniform bool is_position = true) +[[ + anno::description("convert from RH to LH"), + anno::noinline() +]] +{ + float4x4 ZupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, -1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4x4 YupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4 vec4 = float4(vec3.x, vec3.y, vec3.z, is_position ? 1.0f : 0.0f); + + vec4 = vec4 * (up_z ? ZupConversion : YupConversion); + + return float3(vec4.x, vec4.y, vec4.z); +} + +export float3 transform_vector_from_tangent_to_world(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from tangent space to world space"), + anno::noinline() +]] +{ + /* flip_tangent_v */ + return convert_to_left_hand( + tangent_u * vector.x - tangent_v * vector.y + state::normal() * vector.z, + up_z, false); +} + +export float3 transform_vector_from_world_to_tangent(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from world space to tangent space"), + anno::noinline() +]] +{ + float3 vecRH = convert_to_left_hand(vector, up_z, false); + /* flip_tangent_v */ + return vecRH.x * float3(tangent_u.x, -tangent_v.x, state::normal().x) + + vecRH.y * float3(tangent_u.y, -tangent_v.y, state::normal().y) + + vecRH.z * float3(tangent_u.z, -tangent_v.z, state::normal().z); +} + +export float4 unpack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Unpack a normal stored in a normal map"), + anno::noinline() +]] +{ + float2 normal_xy = float2(texture_sample.x, texture_sample.y); + + normal_xy = normal_xy * float2(2.0,2.0) - float2(1.0,1.0); + float normal_z = math::sqrt( math::saturate( 1.0 - math::dot( normal_xy, normal_xy ) ) ); + return float4( normal_xy.x, normal_xy.y, normal_z, 1.0 ); +} + +// for get color value from normal. +export float4 pack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Pack to color from a normal") +]] +{ + float2 return_xy = float2(texture_sample.x, texture_sample.y); + + return_xy = (return_xy + float2(1.0,1.0)) / float2(2.0,2.0); + + return float4( return_xy.x, return_xy.y, 0.0, 1.0 ); +} + +export float4 greyscale_texture_lookup( + float4 texture_sample = float4(0.0, 0.0, 0.0, 1.0) + ) +[[ + anno::description("Sampling a greyscale texture"), + anno::noinline() +]] +{ + return float4(texture_sample.x, texture_sample.x, texture_sample.x, texture_sample.x); +} + +export float3 pixel_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Pixel normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 vertex_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Vertex normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 landscape_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Landscape normal in world space") +]] +{ + float3 normalFromNormalmap = math::floor((::vertex_normal_world_space(up_z) * 0.5 + 0.5) * 255.0) / 255.0 * 2.0 - 1.0; + + float2 normalXY = float2(normalFromNormalmap.x, normalFromNormalmap.y); + return float3(normalXY.x, normalXY.y, math::sqrt(math::saturate(1.0 - math::dot(normalXY, normalXY)))); +} + +// Different implementation specific between mdl and hlsl for smoothstep +export float smoothstep(float a, float b, float l) +{ + if (a < b) + { + return math::smoothstep(a, b, l); + } + else if (a > b) + { + return 1.0 - math::smoothstep(b, a, l); + } + else + { + return l <= a ? 0.0 : 1.0; + } +} + +export float2 smoothstep(float2 a, float2 b, float2 l) +{ + return float2(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y)); +} + +export float3 smoothstep(float3 a, float3 b, float3 l) +{ + return float3(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z)); +} + +export float4 smoothstep(float4 a, float4 b, float4 l) +{ + return float4(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z), smoothstep(a.w, b.w, l.w)); +} + +export float2 smoothstep(float2 a, float2 b, float l) +{ + return float2(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l)); +} + +export float3 smoothstep(float3 a, float3 b, float l) +{ + return float3(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l)); +} + +export float4 smoothstep(float4 a, float4 b, float l) +{ + return float4(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l), smoothstep(a.w, b.w, l)); +} + +export float2 smoothstep(float a, float b, float2 l) +{ + return float2(smoothstep(a, b, l.x), smoothstep(a, b, l.y)); +} + +export float3 smoothstep(float a, float b, float3 l) +{ + return float3(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z)); +} + +export float4 smoothstep(float a, float b, float4 l) +{ + return float4(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z), smoothstep(a, b, l.w)); +} + +//------------------ Random from UE4 ----------------------- +float length2(float3 v) +{ + return math::dot(v, v); +} + +float3 GetPerlinNoiseGradientTextureAt(uniform texture_2d PerlinNoiseGradientTexture, float3 v) +{ + const float2 ZShear = float2(17.0f, 89.0f); + + float2 OffsetA = v.z * ZShear; + float2 TexA = (float2(v.x, v.y) + OffsetA + 0.5f) / 128.0f; + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA.x,1.0-TexA.y),tex::wrap_repeat,tex::wrap_repeat); + return float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z) * 2.0 - 1.0; +} + +float3 SkewSimplex(float3 In) +{ + return In + math::dot(In, float3(1.0 / 3.0f) ); +} +float3 UnSkewSimplex(float3 In) +{ + return In - math::dot(In, float3(1.0 / 6.0f) ); +} + +// 3D random number generator inspired by PCGs (permuted congruential generator) +// Using a **simple** Feistel cipher in place of the usual xor shift permutation step +// @param v = 3D integer coordinate +// @return three elements w/ 16 random bits each (0-0xffff). +// ~8 ALU operations for result.x (7 mad, 1 >>) +// ~10 ALU operations for result.xy (8 mad, 2 >>) +// ~12 ALU operations for result.xyz (9 mad, 3 >>) + +//TODO: uint3 +int3 Rand3DPCG16(int3 p) +{ + // taking a signed int then reinterpreting as unsigned gives good behavior for negatives + //TODO: uint3 + int3 v = int3(p); + + // Linear congruential step. These LCG constants are from Numerical Recipies + // For additional #'s, PCG would do multiple LCG steps and scramble each on output + // So v here is the RNG state + v = v * 1664525 + 1013904223; + + // PCG uses xorshift for the final shuffle, but it is expensive (and cheap + // versions of xorshift have visible artifacts). Instead, use simple MAD Feistel steps + // + // Feistel ciphers divide the state into separate parts (usually by bits) + // then apply a series of permutation steps one part at a time. The permutations + // use a reversible operation (usually ^) to part being updated with the result of + // a permutation function on the other parts and the key. + // + // In this case, I'm using v.x, v.y and v.z as the parts, using + instead of ^ for + // the combination function, and just multiplying the other two parts (no key) for + // the permutation function. + // + // That gives a simple mad per round. + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + + // only top 16 bits are well shuffled + return v >> 16; +} + +// Wraps noise for tiling texture creation +// @param v = unwrapped texture parameter +// @param bTiling = true to tile, false to not tile +// @param RepeatSize = number of units before repeating +// @return either original or wrapped coord +float3 NoiseTileWrap(float3 v, bool bTiling, float RepeatSize) +{ + return bTiling ? (math::frac(v / RepeatSize) * RepeatSize) : v; +} + +// Evaluate polynomial to get smooth transitions for Perlin noise +// only needed by Perlin functions in this file +// scalar(per component): 2 add, 5 mul +float4 PerlinRamp(float4 t) +{ + return t * t * t * (t * (t * 6 - 15) + 10); +} + +// Blum-Blum-Shub-inspired pseudo random number generator +// http://www.umbc.edu/~olano/papers/mNoise.pdf +// real BBS uses ((s*s) mod M) with bignums and M as the product of two huge Blum primes +// instead, we use a single prime M just small enough not to overflow +// note that the above paper used 61, which fits in a half, but is unusably bad +// @param Integer valued floating point seed +// @return random number in range [0,1) +// ~8 ALU operations (5 *, 3 frac) +float RandBBSfloat(float seed) +{ + float BBS_PRIME24 = 4093.0; + float s = math::frac(seed / BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + return s; +} + +// Modified noise gradient term +// @param seed - random seed for integer lattice position +// @param offset - [-1,1] offset of evaluation point from lattice point +// @return gradient direction (xyz) and contribution (w) from this lattice point +float4 MGradient(int seed, float3 offset) +{ + //TODO uint + int rand = Rand3DPCG16(int3(seed,0,0)).x; + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1.0 / 0x4000, 1.0 / 0x2000, 1.0 / 0x1000); + float3 direction = float3(int3(rand, rand, rand) & MGradientMask) * MGradientScale - 1; + return float4(direction.x, direction.y, direction.z, math::dot(direction, offset)); +} + +// compute Perlin and related noise corner seed values +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = true to return seed values for a repeating noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @param seed000-seed111 = hash function seeds for the eight corners +// @return fractional part of v +struct SeedValue +{ + float3 fv = float3(0); + float seed000 = 0; + float seed001 = 0; + float seed010 = 0; + float seed011 = 0; + float seed100 = 0; + float seed101 = 0; + float seed110 = 0; + float seed111 = 0; +}; + +SeedValue NoiseSeeds(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds; + seeds.fv = math::frac(v); + float3 iv = math::floor(v); + + const float3 primes = float3(19, 47, 101); + + if (bTiling) + { // can't algebraically combine with primes + seeds.seed000 = math::dot(primes, NoiseTileWrap(iv, true, RepeatSize)); + seeds.seed100 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 0), true, RepeatSize)); + seeds.seed010 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 0), true, RepeatSize)); + seeds.seed110 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 0), true, RepeatSize)); + seeds.seed001 = math::dot(primes, NoiseTileWrap(iv + float3(0, 0, 1), true, RepeatSize)); + seeds.seed101 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 1), true, RepeatSize)); + seeds.seed011 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 1), true, RepeatSize)); + seeds.seed111 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 1), true, RepeatSize)); + } + else + { // get to combine offsets with multiplication by primes in this case + seeds.seed000 = math::dot(iv, primes); + seeds.seed100 = seeds.seed000 + primes.x; + seeds.seed010 = seeds.seed000 + primes.y; + seeds.seed110 = seeds.seed100 + primes.y; + seeds.seed001 = seeds.seed000 + primes.z; + seeds.seed101 = seeds.seed100 + primes.z; + seeds.seed011 = seeds.seed010 + primes.z; + seeds.seed111 = seeds.seed110 + primes.z; + } + + return seeds; +} + +struct SimplexWeights +{ + float4 Result = float4(0); + float3 PosA = float3(0); + float3 PosB = float3(0); + float3 PosC = float3(0); + float3 PosD = float3(0); +}; + +// Computed weights and sample positions for simplex interpolation +// @return float4(a,b,c, d) Barycentric coordinate defined as Filtered = Tex(PosA) * a + Tex(PosB) * b + Tex(PosC) * c + Tex(PosD) * d +SimplexWeights ComputeSimplexWeights3D(float3 OrthogonalPos) +{ + SimplexWeights weights; + float3 OrthogonalPosFloor = math::floor(OrthogonalPos); + + weights.PosA = OrthogonalPosFloor; + weights.PosB = weights.PosA + float3(1, 1, 1); + + OrthogonalPos -= OrthogonalPosFloor; + + float Largest = math::max(OrthogonalPos.x, math::max(OrthogonalPos.y, OrthogonalPos.z)); + float Smallest = math::min(OrthogonalPos.x, math::min(OrthogonalPos.y, OrthogonalPos.z)); + + weights.PosC = weights.PosA + float3(Largest == OrthogonalPos.x, Largest == OrthogonalPos.y, Largest == OrthogonalPos.z); + weights.PosD = weights.PosA + float3(Smallest != OrthogonalPos.x, Smallest != OrthogonalPos.y, Smallest != OrthogonalPos.z); + + float RG = OrthogonalPos.x - OrthogonalPos.y; + float RB = OrthogonalPos.x - OrthogonalPos.z; + float GB = OrthogonalPos.y - OrthogonalPos.z; + + weights.Result.z = + math::min(math::max(0, RG), math::max(0, RB)) // X + + math::min(math::max(0, -RG), math::max(0, GB)) // Y + + math::min(math::max(0, -RB), math::max(0, -GB)); // Z + + weights.Result.w = + math::min(math::max(0, -RG), math::max(0, -RB)) // X + + math::min(math::max(0, RG), math::max(0, -GB)) // Y + + math::min(math::max(0, RB), math::max(0, GB)); // Z + + weights.Result.y = Smallest; + weights.Result.x = 1.0f - weights.Result.y - weights.Result.z - weights.Result.w; + + return weights; +} + +// filtered 3D gradient simple noise (few texture lookups, high quality) +// @param v >0 +// @return random number in the range -1 .. 1 +float SimplexNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 EvalPos) +{ + float3 OrthogonalPos = SkewSimplex(EvalPos); + + SimplexWeights Weights = ComputeSimplexWeights3D(OrthogonalPos); + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 32 bit) + float3 A = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosA); + float3 B = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosB); + float3 C = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosC); + float3 D = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosD); + + Weights.PosA = UnSkewSimplex(Weights.PosA); + Weights.PosB = UnSkewSimplex(Weights.PosB); + Weights.PosC = UnSkewSimplex(Weights.PosC); + Weights.PosD = UnSkewSimplex(Weights.PosD); + + float DistanceWeight; + + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosA)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float a = math::dot(A, EvalPos - Weights.PosA) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosB)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float b = math::dot(B, EvalPos - Weights.PosB) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosC)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float c = math::dot(C, EvalPos - Weights.PosC) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosD)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float d = math::dot(D, EvalPos - Weights.PosD) * DistanceWeight; + + return 32 * (a + b + c + d); +} + +// filtered 3D noise, can be optimized +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 v, bool bTiling, float RepeatSize) +{ + bTiling = true; + float3 fv = math::frac(v); + float3 iv0 = NoiseTileWrap(math::floor(v), bTiling, RepeatSize); + float3 iv1 = NoiseTileWrap(iv0 + 1, bTiling, RepeatSize); + + const int2 ZShear = int2(17, 89); + + float2 OffsetA = iv0.z * ZShear; + float2 OffsetB = OffsetA + ZShear; // non-tiling, use relative offset + if (bTiling) // tiling, have to compute from wrapped coordinates + { + OffsetB = iv1.z * ZShear; + } + + // Texture size scale factor + float ts = 1 / 128.0f; + + // texture coordinates for iv0.xy, as offset for both z slices + float2 TexA0 = (float2(iv0.x, iv0.y) + OffsetA + 0.5f) * ts; + float2 TexB0 = (float2(iv0.x, iv0.y) + OffsetB + 0.5f) * ts; + + // texture coordinates for iv1.xy, as offset for both z slices + float2 TexA1 = TexA0 + ts; // for non-tiling, can compute relative to existing coordinates + float2 TexB1 = TexB0 + ts; + if (bTiling) // for tiling, need to compute from wrapped coordinates + { + TexA1 = (float2(iv1.x, iv1.y) + OffsetA + 0.5f) * ts; + TexB1 = (float2(iv1.x, iv1.y) + OffsetB + 0.5f) * ts; + } + + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 8, 16 or 32 bit) + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 A = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 B = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 C = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 D = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 E = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 F = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 G = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 H = PerlinNoiseColor * 2 - 1; + + float a = math::dot(A, fv - float3(0, 0, 0)); + float b = math::dot(B, fv - float3(1, 0, 0)); + float c = math::dot(C, fv - float3(0, 1, 0)); + float d = math::dot(D, fv - float3(1, 1, 0)); + float e = math::dot(E, fv - float3(0, 0, 1)); + float f = math::dot(F, fv - float3(1, 0, 1)); + float g = math::dot(G, fv - float3(0, 1, 1)); + float h = math::dot(H, fv - float3(1, 1, 1)); + + float4 Weights = PerlinRamp(math::frac(float4(fv.x, fv.y, fv.z, 0))); + + float i = math::lerp(math::lerp(a, b, Weights.x), math::lerp(c, d, Weights.x), Weights.y); + float j = math::lerp(math::lerp(e, f, Weights.x), math::lerp(g, h, Weights.x), Weights.y); + + return math::lerp(i, j, Weights.z); +} + +// @return random number in the range -1 .. 1 +// scalar: 6 frac, 31 mul/mad, 15 add, +float FastGradientPerlinNoise3D_TEX(uniform texture_3d PerlinNoise3DTexture, float3 xyz) +{ + // needs to be the same value when creating the PerlinNoise3D texture + float Extent = 16; + + // last texel replicated and needed for filtering + // scalar: 3 frac, 6 mul + xyz = math::frac(xyz / (Extent - 1)) * (Extent - 1); + + // scalar: 3 frac + float3 uvw = math::frac(xyz); + // = floor(xyz); + // scalar: 3 add + float3 p0 = xyz - uvw; +// float3 f = math::pow(uvw, 2) * 3.0f - math::pow(uvw, 3) * 2.0f; // original perlin hermite (ok when used without bump mapping) + // scalar: 2*3 add 5*3 mul + float4 pr = PerlinRamp(float4(uvw.x, uvw.y, uvw.z, 0)); + float3 f = float3(pr.x, pr.y, pr.z); // new, better with continues second derivative for bump mapping + // scalar: 3 add + float3 p = p0 + f; + // scalar: 3 mad + // TODO: need reverse??? + float4 NoiseSample = tex::lookup_float4(PerlinNoise3DTexture, p / Extent + 0.5f / Extent); // +0.5f to get rid of bilinear offset + + // reconstruct from 8bit (using mad with 2 constants and dot4 was same instruction count) + // scalar: 4 mad, 3 mul, 3 add + float3 n = float3(NoiseSample.x, NoiseSample.y, NoiseSample.z) * 255.0f / 127.0f - 1.0f; + float d = NoiseSample.w * 255.f - 127; + return math::dot(xyz, n) - d; +} + +// Perlin-style "Modified Noise" +// http://www.umbc.edu/~olano/papers/index.html#mNoise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = MGradient(int(seeds.seed000), seeds.fv - float3(0, 0, 0)).w; + float rand100 = MGradient(int(seeds.seed100), seeds.fv - float3(1, 0, 0)).w; + float rand010 = MGradient(int(seeds.seed010), seeds.fv - float3(0, 1, 0)).w; + float rand110 = MGradient(int(seeds.seed110), seeds.fv - float3(1, 1, 0)).w; + float rand001 = MGradient(int(seeds.seed001), seeds.fv - float3(0, 0, 1)).w; + float rand101 = MGradient(int(seeds.seed101), seeds.fv - float3(1, 0, 1)).w; + float rand011 = MGradient(int(seeds.seed011), seeds.fv - float3(0, 1, 1)).w; + float rand111 = MGradient(int(seeds.seed111), seeds.fv - float3(1, 1, 1)).w; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D value noise - used to be incorrectly called Perlin noise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float ValueNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = RandBBSfloat(seeds.seed000) * 2 - 1; + float rand100 = RandBBSfloat(seeds.seed100) * 2 - 1; + float rand010 = RandBBSfloat(seeds.seed010) * 2 - 1; + float rand110 = RandBBSfloat(seeds.seed110) * 2 - 1; + float rand001 = RandBBSfloat(seeds.seed001) * 2 - 1; + float rand101 = RandBBSfloat(seeds.seed101) * 2 - 1; + float rand011 = RandBBSfloat(seeds.seed011) * 2 - 1; + float rand111 = RandBBSfloat(seeds.seed111) * 2 - 1; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D jitter offset within a voronoi noise cell +// @param pos - integer lattice corner +// @return random offsets vector +float3 VoronoiCornerSample(float3 pos, int Quality) +{ + // random values in [-0.5, 0.5] + float3 noise = float3(Rand3DPCG16(int3(pos))) / 0xffff - 0.5; + + // quality level 1 or 2: searches a 2x2x2 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 2x2x2 search + if (Quality <= 2) + { + return math::normalize(noise) * 0.2588; + } + + // quality level 3: searches a 3x3x3 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 3x3x3 search + if (Quality == 3) + { + return math::normalize(noise) * 0.3090; + } + + // quality level 4: jitter to anywhere in the cell, needs 4x4x4 search + return noise; +} + +// compare previous best with a new candidate +// not producing point locations makes it easier for compiler to eliminate calculations when they're not needed +// @param minval = location and distance of best candidate seed point before the new one +// @param candidate = candidate seed point +// @param offset = 3D offset to new candidate seed point +// @param bDistanceOnly = if true, only set maxval.w with distance, otherwise maxval.w is distance and maxval.xyz is position +// @return position (if bDistanceOnly is false) and distance to closest seed point so far +float4 VoronoiCompare(float4 minval, float3 candidate, float3 offset, bool bDistanceOnly) +{ + if (bDistanceOnly) + { + return float4(0, 0, 0, math::min(minval.w, math::dot(offset, offset))); + } + else + { + float newdist = math::dot(offset, offset); + return newdist > minval.w ? minval : float4(candidate.x, candidate.y, candidate.z, newdist); + } +} + +// 220 instruction Worley noise +float4 VoronoiNoise3D_ALU(float3 v, int Quality, bool bTiling, float RepeatSize, bool bDistanceOnly) +{ + float3 fv = math::frac(v), fv2 = math::frac(v + 0.5); + float3 iv = math::floor(v), iv2 = math::floor(v + 0.5); + + // with initial minimum distance = infinity (or at least bigger than 4), first min is optimized away + float4 mindist = float4(0,0,0,100); + float3 p, offset; + + // quality level 3: do a 3x3x3 search + if (Quality == 3) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 1; ++offset_x) + { + for (offset_y = -1; offset_y <= 1; ++offset_y) + { + for (offset_z = -1; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + + // everybody else searches a base 2x2x2 neighborhood + else + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = 0; offset_x <= 1; ++offset_x) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // quality level 2, do extra set of points, offset by half a cell + if (Quality == 2) + { + // 467 is just an offset to a different area in the random number field to avoid similar neighbor artifacts + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize) + 467, Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + } + + // quality level 4: add extra sets of four cells in each direction + if (Quality >= 4) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 2; offset_x += 3) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + // along x axis + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along y axis + p = float3(offset.y, offset.z, offset.x) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.y, offset.z, offset.x), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along z axis + p = float3(offset.z, offset.x, offset.y) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.z, offset.x, offset.y), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + } + } + } + } + + // transform squared distance to real distance + return float4(mindist.x, mindist.y, mindist.z, math::sqrt(mindist.w)); +} + +// Coordinates for corners of a Simplex tetrahedron +// Based on McEwan et al., Efficient computation of noise in GLSL, JGT 2011 +// @param v = 3D noise argument +// @return 4 corner locations +float4x3 SimplexCorners(float3 v) +{ + // find base corner by skewing to tetrahedral space and back + float3 tet = math::floor(v + v.x/3 + v.y/3 + v.z/3); + float3 base = tet - tet.x/6 - tet.y/6 - tet.z/6; + float3 f = v - base; + + // Find offsets to other corners (McEwan did this in tetrahedral space, + // but since skew is along x=y=z axis, this works in Euclidean space too.) + float3 g = math::step(float3(f.y,f.z,f.x), float3(f.x,f.y,f.z)), h = 1 - float3(g.z, g.x, g.y); + float3 a1 = math::min(g, h) - 1.0 / 6.0, a2 = math::max(g, h) - 1.0 / 3.0; + + // four corners + return float4x3(base, base + a1, base + a2, base + 0.5); +} + +// Improved smoothing function for simplex noise +// @param f = fractional distance to four tetrahedral corners +// @return weight for each corner +float4 SimplexSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + return (1 * scale + s*(-3 * scale + s*(3 * scale - s*scale))); +} + +// Derivative of simplex noise smoothing function +// @param f = fractional distanc eto four tetrahedral corners +// @return derivative of smoothing function for each corner by x, y and z +float3x4 SimplexDSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + s = -12 * scale + s*(24 * scale - s * 12 * scale); + + return float3x4( + s * float4(f[0][0], f[1][0], f[2][0], f[3][0]), + s * float4(f[0][1], f[1][1], f[2][1], f[3][1]), + s * float4(f[0][2], f[1][2], f[2][2], f[3][2])); +} + +// Simplex noise and its Jacobian derivative +// @param v = 3D noise argument +// @param bTiling = whether to repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension, must be a multiple of 3 +// @return float3x3 Jacobian in J[*].xyz, vector noise in J[*].w +// J[0].w, J[1].w, J[2].w is a Perlin-style simplex noise with vector output, e.g. (Nx, Ny, Nz) +// J[i].x is X derivative of the i'th component of the noise so J[2].x is dNz/dx +// You can use this to compute the noise, gradient, curl, or divergence: +// float3x4 J = JacobianSimplex_ALU(...); +// float3 VNoise = float3(J[0].w, J[1].w, J[2].w); // 3D noise +// float3 Grad = J[0].xyz; // gradient of J[0].w +// float3 Curl = float3(J[1][2]-J[2][1], J[2][0]-J[0][2], J[0][1]-J[1][2]); +// float Div = J[0][0]+J[1][1]+J[2][2]; +// All of these are confirmed to compile out all unneeded terms. +// So Grad of X doesn't compute Y or Z components, and VNoise doesn't do any of the derivative computation. +float3x4 JacobianSimplex_ALU(float3 v, bool bTiling, float RepeatSize) +{ + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1. / 0x4000, 1. / 0x2000, 1. / 0x1000); + + // corners of tetrahedron + float4x3 T = SimplexCorners(v); + // TODO: uint3 + int3 rand = int3(0); + float4x3 gvec0 = float4x3(1.0); + float4x3 gvec1 = float4x3(1.0); + float4x3 gvec2 = float4x3(1.0); + float4x3 fv = float4x3(1.0); + float3x4 grad = float3x4(1.0); + + // processing of tetrahedral vertices, unrolled + // to compute gradient at each corner + fv[0] = v - T[0]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[0] + 0.5, bTiling, RepeatSize)))); + gvec0[0] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[0] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[0] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][0] = math::dot(gvec0[0], fv[0]); + grad[1][0] = math::dot(gvec1[0], fv[0]); + grad[2][0] = math::dot(gvec2[0], fv[0]); + + fv[1] = v - T[1]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[1] + 0.5, bTiling, RepeatSize)))); + gvec0[1] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][1] = math::dot(gvec0[1], fv[1]); + grad[1][1] = math::dot(gvec1[1], fv[1]); + grad[2][1] = math::dot(gvec2[1], fv[1]); + + fv[2] = v - T[2]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[2] + 0.5, bTiling, RepeatSize)))); + gvec0[2] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[2] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[2] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][2] = math::dot(gvec0[2], fv[2]); + grad[1][2] = math::dot(gvec1[2], fv[2]); + grad[2][2] = math::dot(gvec2[2], fv[2]); + + fv[3] = v - T[3]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[3] + 0.5, bTiling, RepeatSize)))); + gvec0[3] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[3] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[3] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][3] = math::dot(gvec0[3], fv[3]); + grad[1][3] = math::dot(gvec1[3], fv[3]); + grad[2][3] = math::dot(gvec2[3], fv[3]); + + // blend gradients + float4 sv = SimplexSmooth(fv); + float3x4 ds = SimplexDSmooth(fv); + + float3x4 jacobian = float3x4(1.0); + float3 vec0 = gvec0*sv + grad[0]*ds; // NOTE: mdl is column major, convert from UE4 (row major) + jacobian[0] = float4(vec0.x, vec0.y, vec0.z, math::dot(sv, grad[0])); + float3 vec1 = gvec1*sv + grad[1]*ds; + jacobian[1] = float4(vec1.x, vec1.y, vec1.z, math::dot(sv, grad[1])); + float3 vec2 = gvec2*sv + grad[2]*ds; + jacobian[2] = float4(vec2.x, vec2.y, vec2.z, math::dot(sv, grad[2])); + + return jacobian; +} + +// While RepeatSize is a float here, the expectation is that it would be largely integer values coming in from the UI. The downstream logic assumes +// floats for all called functions (NoiseTileWrap) and this prevents any float-to-int conversion errors from automatic type conversion. +float Noise3D_Multiplexer(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, int Function, float3 Position, int Quality, bool bTiling, float RepeatSize) +{ + // verified, HLSL compiled out the switch if Function is a constant + switch(Function) + { + case 0: + return SimplexNoise3D_TEX(PerlinNoiseGradientTexture, Position); + case 1: + return GradientNoise3D_TEX(PerlinNoiseGradientTexture, Position, bTiling, RepeatSize); + case 2: + return FastGradientPerlinNoise3D_TEX(PerlinNoise3DTexture, Position); + case 3: + return GradientNoise3D_ALU(Position, bTiling, RepeatSize); + case 4: + return ValueNoise3D_ALU(Position, bTiling, RepeatSize); + case 5: + return VoronoiNoise3D_ALU(Position, Quality, bTiling, RepeatSize, true).w * 2.0 - 1.0; + } + return 0; +} +//---------------------------------------------------------- + +export float noise(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, float3 Position, float Scale, float Quality, float Function, float Turbulence, float Levels, float OutputMin, float OutputMax, float LevelScale, float FilterWidth, float Tiling, float RepeatSize) +[[ + anno::description("Noise"), + anno::noinline() +]] +{ + Position *= Scale; + FilterWidth *= Scale; + + float Out = 0.0f; + float OutScale = 1.0f; + float InvLevelScale = 1.0f / LevelScale; + + int iFunction(Function); + int iQuality(Quality); + int iLevels(Levels); + bool bTurbulence(Turbulence); + bool bTiling(Tiling); + + for(int i = 0; i < iLevels; ++i) + { + // fade out noise level that are too high frequent (not done through dynamic branching as it usually requires gradient instructions) + OutScale *= math::saturate(1.0 - FilterWidth); + + if(bTurbulence) + { + Out += math::abs(Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize)) * OutScale; + } + else + { + Out += Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize) * OutScale; + } + + Position *= LevelScale; + RepeatSize *= LevelScale; + OutScale *= InvLevelScale; + FilterWidth *= LevelScale; + } + + if(!bTurbulence) + { + // bring -1..1 to 0..1 range + Out = Out * 0.5f + 0.5f; + } + + // Out is in 0..1 range + return math::lerp(OutputMin, OutputMax, Out); +} + +// Material node for noise functions returning a vector value +// @param LevelScale usually 2 but higher values allow efficient use of few levels +// @return in user defined range (OutputMin..OutputMax) +export float4 vector4_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise"), + anno::noinline() +]] +{ + float4 result = float4(0,0,0,1); + float3 ret = float3(0); + int iQuality = int(Quality); + int iFunction = int(Function); + bool bTiling = Tiling > 0.0; + + float3x4 Jacobian = JacobianSimplex_ALU(Position, bTiling, TileSize); // compiled out if not used + + // verified, HLSL compiled out the switch if Function is a constant + switch (iFunction) + { + case 0: // Cellnoise + ret = float3(Rand3DPCG16(int3(math::floor(NoiseTileWrap(Position, bTiling, TileSize))))) / 0xffff; + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 1: // Color noise + ret = float3(Jacobian[0].w, Jacobian[1].w, Jacobian[2].w); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 2: // Gradient + result = Jacobian[0]; + break; + case 3: // Curl + ret = float3(Jacobian[2][1] - Jacobian[1][2], Jacobian[0][2] - Jacobian[2][0], Jacobian[1][0] - Jacobian[0][1]); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 4: // Voronoi + result = VoronoiNoise3D_ALU(Position, iQuality, bTiling, TileSize, false); + break; + } + return result; +} + +export float3 vector3_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise float3 version"), + anno::noinline() +]] +{ + float4 noise = vector4_noise(Position, Quality, Function, Tiling, TileSize); + return float3(noise.x, noise.y, noise.z); +} + + +// workaround for ue4 fresnel (without supporting for camera vector) : replacing it with 0.0, means facing to the view +export float fresnel(float exponent [[anno::unused()]], float base_reflect_fraction [[anno::unused()]], float3 normal [[anno::unused()]]) +[[ + anno::description("Fresnel"), + anno::noinline() +]] +{ + return 0.0; +} + +export float fresnel_function(float3 normal_vector [[anno::unused()]], float3 camera_vector [[anno::unused()]], + bool invert_fresnel [[anno::unused()]], float power [[anno::unused()]], + bool use_cheap_contrast [[anno::unused()]], float cheap_contrast_dark [[anno::unused()]], float cheap_contrast_bright [[anno::unused()]], + bool clamp_fresnel_dot_product [[anno::unused()]]) +[[ + anno::description("Fresnel Function"), + anno::noinline() +]] +{ + return 0.0; +} + +export float3 camera_vector(uniform bool up_z = true) +[[ + anno::description("Camera Vector"), + anno::noinline() +]] +{ + // assume camera postion is 0,0,0 + return math::normalize(float3(0) - convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)); +} + +export float pixel_depth() +[[ + anno::description("Pixel Depth"), + anno::noinline() +]] +{ + return 256.0f; +} + +export float scene_depth() +[[ + anno::description("Scene Depth") +]] +{ + return 65500.0f; +} + +export float3 scene_color() +[[ + anno::description("Scene Color") +]] +{ + return float3(1.0f); +} + +export float4 vertex_color() +[[ + anno::description("Vertex Color"), + anno::noinline() +]] +{ + return float4(1.0f); +} + +export float4 vertex_color_from_coordinate(int VertexColorCoordinateIndex) +[[ + anno::description("Vertex Color for float2 PrimVar"), + anno::noinline() +]] +{ + // Kit only supports 4 uv sets, 2 uvs are available to vertex color. if vertex color index is invalid, output the constant WHITE color intead + return (VertexColorCoordinateIndex > 2) ? float4(1.0f) : float4(state::texture_coordinate(VertexColorCoordinateIndex).x, state::texture_coordinate(VertexColorCoordinateIndex).y, state::texture_coordinate(VertexColorCoordinateIndex+1).x, state::texture_coordinate(VertexColorCoordinateIndex+1).y); +} + +export float3 camera_position() +[[ + anno::description("Camera Position"), + anno::noinline() +]] +{ + return float3(1000.0f, 0, 0); +} + +export float3 rotate_about_axis(float4 NormalizedRotationAxisAndAngle, float3 PositionOnAxis, float3 Position) +[[ + anno::description("Rotates Position about the given axis by the given angle") +]] +{ + // Project Position onto the rotation axis and find the closest point on the axis to Position + float3 NormalizedRotationAxis = float3(NormalizedRotationAxisAndAngle.x,NormalizedRotationAxisAndAngle.y,NormalizedRotationAxisAndAngle.z); + float3 ClosestPointOnAxis = PositionOnAxis + NormalizedRotationAxis * math::dot(NormalizedRotationAxis, Position - PositionOnAxis); + // Construct orthogonal axes in the plane of the rotation + float3 UAxis = Position - ClosestPointOnAxis; + float3 VAxis = math::cross(NormalizedRotationAxis, UAxis); + float[2] SinCosAngle = math::sincos(NormalizedRotationAxisAndAngle.w); + // Rotate using the orthogonal axes + float3 R = UAxis * SinCosAngle[1] + VAxis * SinCosAngle[0]; + // Reconstruct the rotated world space position + float3 RotatedPosition = ClosestPointOnAxis + R; + // Convert from position to a position offset + return RotatedPosition - Position; +} + +export float2 rotate_scale_offset_texcoords(float2 InTexCoords, float4 InRotationScale, float2 InOffset) +[[ + anno::description("Returns a float2 texture coordinate after 2x2 transform and offset applied") +]] +{ + return float2(math::dot(InTexCoords, float2(InRotationScale.x, InRotationScale.y)), math::dot(InTexCoords, float2(InRotationScale.z, InRotationScale.w))) + InOffset; +} + +export float3 reflection_custom_world_normal(float3 WorldNormal, bool bNormalizeInputNormal, uniform bool up_z = true) +[[ + anno::description("Reflection vector about the specified world space normal") +]] +{ + if (bNormalizeInputNormal) + { + WorldNormal = math::normalize(WorldNormal); + } + + return -camera_vector(up_z) + WorldNormal * math::dot(WorldNormal, camera_vector(up_z)) * 2.0; +} + +export float3 reflection_vector(uniform bool up_z = true) +[[ + anno::description("Reflection Vector"), + anno::noinline() +]] +{ + float3 normal = convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); + return reflection_custom_world_normal(normal, false, up_z); +} + +export float dither_temporalAA(float AlphaThreshold = 0.5f, float Random = 1.0f [[anno::unused()]]) +[[ + anno::description("Dither TemporalAA"), + anno::noinline() +]] +{ + return AlphaThreshold; +} + +export float3 black_body( float Temp ) +[[ + anno::description("Black Body"), + anno::noinline() +]] +{ + float u = ( 0.860117757f + 1.54118254e-4f * Temp + 1.28641212e-7f * Temp*Temp ) / ( 1.0f + 8.42420235e-4f * Temp + 7.08145163e-7f * Temp*Temp ); + float v = ( 0.317398726f + 4.22806245e-5f * Temp + 4.20481691e-8f * Temp*Temp ) / ( 1.0f - 2.89741816e-5f * Temp + 1.61456053e-7f * Temp*Temp ); + + float x = 3*u / ( 2*u - 8*v + 4 ); + float y = 2*v / ( 2*u - 8*v + 4 ); + float z = 1 - x - y; + + float Y = 1; + float X = Y/y * x; + float Z = Y/y * z; + + float3x3 XYZtoRGB = float3x3( + float3(3.2404542, -1.5371385, -0.4985314), + float3(-0.9692660, 1.8760108, 0.0415560), + float3(0.0556434, -0.2040259, 1.0572252) + ); + + return XYZtoRGB * float3( X, Y, Z ) * math::pow( 0.0004 * Temp, 4 ); +} + +export float per_instance_random(uniform texture_2d PerlinNoiseGradientTexture, int NumberInstances) +[[ + anno::description("Per Instance Random"), + anno::noinline() +]] +{ + float weight = state::object_id() / float(NumberInstances); + return NumberInstances == 0 ? 0.0 : tex::lookup_float4(PerlinNoiseGradientTexture, float2(weight, 1.0 - weight), tex::wrap_repeat, tex::wrap_repeat).x; +} + +//------------------ Hair from UE4 ----------------------- +float3 hair_absorption_to_color(float3 A) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::exp(-math::sqrt(A) * D); +} + +float3 hair_color_to_absorption(float3 C) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::pow(math::log(C) / D, 2.0f); +} + +export float3 get_hair_color_from_melanin(float InMelanin, float InRedness, float3 InDyeColor) +[[ + anno::description("Hair Color") +]] +{ + InMelanin = math::saturate(InMelanin); + InRedness = math::saturate(InRedness); + float Melanin = -math::log(math::max(1 - InMelanin, 0.0001f)); + float Eumelanin = Melanin * (1 - InRedness); + float Pheomelanin = Melanin * InRedness; + + float3 DyeAbsorption = hair_color_to_absorption(math::saturate(InDyeColor)); + float3 Absorption = Eumelanin * float3(0.506f, 0.841f, 1.653f) + Pheomelanin * float3(0.343f, 0.733f, 1.924f); + + return hair_absorption_to_color(Absorption + DyeAbsorption); +} + +export float3 local_object_bounds_min() +[[ + anno::description("Local Object Bounds Min"), + anno::noinline() +]] +{ + return float3(0.0); +} + +export float3 local_object_bounds_max() +[[ + anno::description("Local Object Bounds Max"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float3 object_bounds() +[[ + anno::description("Object Bounds"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float object_radius() +[[ + anno::description("Object Radius"), + anno::noinline() +]] +{ + return 100.0f; +} + +export float3 object_world_position(uniform bool up_z = true) +[[ + anno::description("Object World Position"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)*state::meters_per_scene_unit()*100.0; +} + +export float3 object_orientation() +[[ + anno::description("Object Orientation"), + anno::noinline() +]] +{ + return float3(0); +} + +export float rcp(float x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float2 rcp(float2 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float3 rcp(float3 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float4 rcp(float4 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export int BitFieldExtractI32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractI32 int"), + anno::noinline() +]] +{ + Size &= 3; + Offset &= 3; + + if (Size == 0) + return 0; + else if (Offset + Size < 32) + return (Data << (32 - Size - Offset)) >> (32 - Size); + else + return Data >> Offset; +} + +export int BitFieldExtractI32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractI32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(int(Data), int(Size), int(Offset)); +} + +export int BitFieldExtractU32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractU32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export int BitFieldExtractU32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractU32 int"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export float3 EyeAdaptationInverseLookup(float3 LightValue, float Alpha) +[[ + anno::description("EyeAdaptationInverseLookup"), + anno::noinline() +]] +{ + float Adaptation = 1.0f; + + // When Alpha=0.0, we want to multiply by 1.0. when Alpha = 1.0, we want to multiply by 1/Adaptation. + // So the lerped value is: + // LerpLogScale = Lerp(log(1),log(1/Adaptaiton),T) + // Which is simplified as: + // LerpLogScale = Lerp(0,-log(Adaptation),T) + // LerpLogScale = -T * logAdaptation; + + float LerpLogScale = -Alpha * math::log(Adaptation); + float Scale = math::exp(LerpLogScale); + return LightValue * Scale; +} diff --git a/Shelf/BP_StandardShelf2/Materials/Textures/T_Default_BC.png b/Shelf/BP_StandardShelf2/Materials/Textures/T_Default_BC.png new file mode 100644 index 0000000000000000000000000000000000000000..3ffb615216a543684b72182bc2b93df642feb0ef --- /dev/null +++ b/Shelf/BP_StandardShelf2/Materials/Textures/T_Default_BC.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:80d67d3146f380b837c67e1a79b6175853cdf1920fba89e3b8f360be56a1b6aa +size 306663 diff --git a/Shelf/BP_StandardShelf2/Materials/Textures/T_Default_N.png b/Shelf/BP_StandardShelf2/Materials/Textures/T_Default_N.png new file mode 100644 index 0000000000000000000000000000000000000000..f289b540abf7a01f18f45ff433210bb4c1617a52 --- /dev/null +++ b/Shelf/BP_StandardShelf2/Materials/Textures/T_Default_N.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:88a5f868fcf0e1eb344fceb49059a9c7cd409f011cebc45ba1fe3ae6c919acb7 +size 12641622 diff --git a/Shelf/BP_StandardShelf2/Materials/Textures/T_Default_RMA.png b/Shelf/BP_StandardShelf2/Materials/Textures/T_Default_RMA.png new file mode 100644 index 0000000000000000000000000000000000000000..958d1b53366393657e1b8d143ef2947172e570b8 --- /dev/null +++ b/Shelf/BP_StandardShelf2/Materials/Textures/T_Default_RMA.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:0af24e05d9bc54824c16a11de1d386ead87363dc5292f88121a2039631f0f28a +size 304450 diff --git a/Shelf/BP_StandardShelf2/Materials/Textures/T_Shelving_BC.png b/Shelf/BP_StandardShelf2/Materials/Textures/T_Shelving_BC.png new file mode 100644 index 0000000000000000000000000000000000000000..daad5e710a16e7c3a35c295d9eee455651594b5c --- /dev/null +++ b/Shelf/BP_StandardShelf2/Materials/Textures/T_Shelving_BC.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:7a08ec9f01448ddf431c5ca827c70588ed2cd3740300a4da708dc40a67a0a0fd +size 10004220 diff --git a/Shelf/BP_StandardShelf2/Materials/Textures/T_Shelving_N.png b/Shelf/BP_StandardShelf2/Materials/Textures/T_Shelving_N.png new file mode 100644 index 0000000000000000000000000000000000000000..4cfd383a75b5342c3b9a2837659abf7670ec83a4 --- /dev/null +++ b/Shelf/BP_StandardShelf2/Materials/Textures/T_Shelving_N.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:8d4b1fddf9a43d8cdfff825209e8d2066b2dcdd91dd5e919e0f1ddd7530b4037 +size 15416469 diff --git a/Shelf/BP_StandardShelf2/Materials/Textures/T_Shelving_RMA.png b/Shelf/BP_StandardShelf2/Materials/Textures/T_Shelving_RMA.png new file mode 100644 index 0000000000000000000000000000000000000000..3940d7a34c06e983c4c182273afad444ce420f0c --- /dev/null +++ b/Shelf/BP_StandardShelf2/Materials/Textures/T_Shelving_RMA.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:594e767ddbcb164b574e527ca9ab06f8fc75a02567d8419f0ef63b027e42b637 +size 19503629 diff --git a/Shelf/BP_StandardShelf2/Props/BackPlate.usd b/Shelf/BP_StandardShelf2/Props/BackPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..e601eb1629a79c2ae4e3e787a51a486a348d2de2 Binary files /dev/null and b/Shelf/BP_StandardShelf2/Props/BackPlate.usd differ diff --git a/Shelf/BP_StandardShelf2/Props/BasePlate.usd b/Shelf/BP_StandardShelf2/Props/BasePlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..00dde8f244aad32a16f3a3c3bed78bca0a8f5728 Binary files /dev/null and b/Shelf/BP_StandardShelf2/Props/BasePlate.usd differ diff --git a/Shelf/BP_StandardShelf2/Props/HorizontalPlate.usd b/Shelf/BP_StandardShelf2/Props/HorizontalPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..779a77ea89bfe0e500a9620dceed151e906dcef1 Binary files /dev/null and b/Shelf/BP_StandardShelf2/Props/HorizontalPlate.usd differ diff --git a/Shelf/BP_StandardShelf2/instance.usd b/Shelf/BP_StandardShelf2/instance.usd new file mode 100644 index 0000000000000000000000000000000000000000..0866f29ef1d97b0bc64cf70aba4c7647cd132c6b Binary files /dev/null and b/Shelf/BP_StandardShelf2/instance.usd differ diff --git a/Shelf/BP_StandardShelf3/Materials/M_supermarketshelf-1.mdl b/Shelf/BP_StandardShelf3/Materials/M_supermarketshelf-1.mdl new file mode 100644 index 0000000000000000000000000000000000000000..cfcc1c9bef30f247a71f85296121063ad7f3fdd7 --- /dev/null +++ b/Shelf/BP_StandardShelf3/Materials/M_supermarketshelf-1.mdl @@ -0,0 +1,119 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material M_supermarketshelf_1( + float4 Color1 = float4(0.503581,0.53125,0.53125,1.0) + [[ + anno::display_name("Color1"), + anno::ui_order(32) + ]], + float4 Color2 = float4(0.557292,0.080388,0.108122,1.0) + [[ + anno::display_name("Color2"), + anno::ui_order(32) + ]], + float4 Color3 = float4(0.557292,0.557292,0.557292,1.0) + [[ + anno::display_name("Color3"), + anno::ui_order(32) + ]], + float DirtAmount = 0.5 + [[ + anno::display_name("DirtAmount"), + anno::ui_order(32), + anno::soft_range(0.0, 1.0) + ]], + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) +[[ + dither_masked_off() +]] + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + float4 Local0 = ::unpack_normal_map(tex::lookup_float4(texture_2d("./Textures/T_supermarketshelf-1_N.png",::tex::gamma_linear),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat)); + + float3 Normal_mdl = float3(Local0.x,Local0.y,Local0.z); + + float4 Local1 = tex::lookup_float4(texture_2d("./Textures/T_supermarketshelf-1_BC.png",::tex::gamma_srgb),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float4 Local2 = ::greyscale_texture_lookup(tex::lookup_float4(texture_2d("./Textures/T_colormask-1_M.png",::tex::gamma_linear),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat)); + float3 Local3 = math::lerp(float3(Local1.x,Local1.y,Local1.z),float3(Color1.x,Color1.y,Color1.z),float3(Local2.x,Local2.y,Local2.z)); + float4 Local4 = ::greyscale_texture_lookup(tex::lookup_float4(texture_2d("./Textures/T_colormask-2_M.png",::tex::gamma_linear),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat)); + float3 Local5 = math::lerp(Local3,float3(Color2.x,Color2.y,Color2.z),float3(Local4.x,Local4.y,Local4.z)); + float4 Local6 = ::greyscale_texture_lookup(tex::lookup_float4(texture_2d("./Textures/T_colormask-3_M.png",::tex::gamma_linear),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat)); + float3 Local7 = math::lerp(Local5,float3(Color3.x,Color3.y,Color3.z),float3(Local6.x,Local6.y,Local6.z)); + float3 Local8 = (1.0 - Local7); + float3 Local9 = (Local8 * 2.0); + float3 Local10 = (1.0 - float3(Local1.x,Local1.y,Local1.z)); + float3 Local11 = (Local9 * Local10); + float3 Local12 = (1.0 - Local11); + float3 Local13 = (Local7 * 2.0); + float3 Local14 = (Local13 * float3(Local1.x,Local1.y,Local1.z)); + float Local15 = ((Local7.x >= 0.5) ? Local12.x : Local14.x); + float Local16 = ((Local7.y >= 0.5) ? Local12.y : Local14.y); + float Local17 = ((Local7.z >= 0.5) ? Local12.z : Local14.z); + float3 Local18 = (1.0 - float3(float2(Local15,Local16).x,float2(Local15,Local16).y,Local17)); + float3 Local19 = (Local18 * 2.0); + float4 Local20 = tex::lookup_float4(texture_2d("./Textures/T_dirt_overlay_BC.png",::tex::gamma_srgb),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float Local21 = (1.0 - DirtAmount); + float3 Local22 = math::lerp(float3(Local20.x,Local20.y,Local20.z),float3(0.484375,0.484375,0.484375),Local21); + float3 Local23 = (1.0 - Local22); + float3 Local24 = (Local19 * Local23); + float3 Local25 = (1.0 - Local24); + float3 Local26 = (float3(float2(Local15,Local16).x,float2(Local15,Local16).y,Local17) * 2.0); + float3 Local27 = (Local26 * Local22); + float Local28 = ((float3(float2(Local15,Local16).x,float2(Local15,Local16).y,Local17).x >= 0.5) ? Local25.x : Local27.x); + float Local29 = ((float3(float2(Local15,Local16).x,float2(Local15,Local16).y,Local17).y >= 0.5) ? Local25.y : Local27.y); + float Local30 = ((float3(float2(Local15,Local16).x,float2(Local15,Local16).y,Local17).z >= 0.5) ? Local25.z : Local27.z); + float4 Local31 = tex::lookup_float4(texture_2d("./Textures/T_supermarketshelf-1_MT.png",::tex::gamma_srgb),float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float Local32 = (1.0 - Local31.y); + float Local33 = (Local32 * 2.0); + float3 Local34 = (1.0 - Local23); + float3 Local35 = (Local33 * Local34); + float3 Local36 = (1.0 - Local35); + float Local37 = (Local31.y * 2.0); + float3 Local38 = (Local37 * Local23); + float Local39 = ((Local31.y >= 0.5) ? Local36.x : Local38.x); + float Local40 = ((Local31.y >= 0.5) ? Local36.y : Local38.y); + float Local41 = ((Local31.y >= 0.5) ? Local36.z : Local38.z); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float OpacityMask_mdl = (Local1.w - 0.3333) < 0.0f ? 0.0f : 1.0f; + float3 BaseColor_mdl = float3(float2(Local28,Local29).x,float2(Local28,Local29).y,Local30); + float Metallic_mdl = Local31.x; + float Specular_mdl = 0.5; + float Roughness_mdl = float3(float2(Local39,Local40).x,float2(Local39,Local40).y,Local41).x; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_StandardShelf3/Materials/OmniUe4Base.mdl b/Shelf/BP_StandardShelf3/Materials/OmniUe4Base.mdl new file mode 100644 index 0000000000000000000000000000000000000000..a441fbaf28040302c7aaabfbcf14b24a85bdf643 --- /dev/null +++ b/Shelf/BP_StandardShelf3/Materials/OmniUe4Base.mdl @@ -0,0 +1,224 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.0 - first version +//* 1.0.1 - merge unlit template +//* 1.0.2 - Fix EDF in the back side: the EDF contained in surface is only used for the front side and not for the back side +//* 1.0.3 - UE4 normal mapping: Geometry normal shouldn't be changed +//* 1.0.4 - using absolute import paths when importing standard modules + +mdl 1.3; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + +float emissive_multiplier() +[[ + anno::description("the multiplier to convert UE4 emissive to raw data"), + anno::noinline() +]] +{ + return 20.0f * 128.0f; +} + +float3 tangent_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in tangent space"), + anno::noinline() +]] +{ + return math::normalize( + tangent_u * normal.x - /* flip_tangent_v */ + tangent_v * normal.y + + state::normal() * (normal.z)); +} + +float3 world_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in world space"), + anno::noinline() +]] +{ + return tangent_space_normal( + math::normalize( + normal.x * float3(tangent_u.x, tangent_v.x, state::normal().x) - + normal.y * float3(tangent_u.y, tangent_v.y, state::normal().y) + + normal.z * float3(tangent_u.z, tangent_v.z, state::normal().z)), + tangent_u, + tangent_v + ); +} + +export material OmniUe4Base( + float3 base_color = float3(0.0, 0.0, 0.0), + float metallic = 0.0, + float roughness = 0.5, + float specular = 0.5, + float3 normal = float3(0.0,0.0,1.0), + float clearcoat_weight = 0.0, + float clearcoat_roughness = 0.0, + float3 clearcoat_normal = float3(0.0,0.0,1.0), + uniform bool enable_opacity = true, + float opacity = 1.0, + float3 emissive_color = float3(0.0, 0.0, 0.0), + float3 displacement = float3(0.0), + uniform bool is_tangent_space_normal = true, + uniform bool two_sided = false, + uniform bool is_unlit = false +) +[[ + anno::display_name("Omni UE4 Base"), + anno::description("Omni UE4 Base, supports UE4 default lit and clearcoat shading model"), + anno::version( 1, 0, 0), + anno::author("NVIDIA CORPORATION"), + anno::key_words(string[]("omni", "UE4", "omniverse", "lit", "clearcoat", "generic")) +]] + = let { + color final_base_color = math::saturate(base_color); + float final_metallic = math::saturate(metallic); + float final_roughness = math::saturate(roughness); + float final_specular = math::saturate(specular); + color final_emissive_color = math::max(emissive_color, 0.0f) * emissive_multiplier(); /*factor for converting ue4 emissive to raw value*/ + float final_clearcoat_weight = math::saturate(clearcoat_weight); + float final_clearcoat_roughness = math::saturate(clearcoat_roughness); + float3 final_normal = math::normalize(normal); + float3 final_clearcoat_normal = math::normalize(clearcoat_normal); + + // - compute final roughness by squaring the "roughness" parameter + float alpha = final_roughness * final_roughness; + // reduce the reflectivity at grazing angles to avoid "dark edges" for high roughness due to the layering + float grazing_refl = math::max((1.0 - final_roughness), 0.0); + + float3 the_normal = is_unlit ? state::normal() : + (is_tangent_space_normal ? + tangent_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + )); + + // for the dielectric component we layer the glossy component on top of the diffuse one, + // the glossy layer has no color tint + + bsdf dielectric_component = df::custom_curve_layer( + weight: final_specular, + normal_reflectivity: 0.08, + grazing_reflectivity: grazing_refl, + layer: df::microfacet_ggx_smith_bsdf(roughness_u: alpha), + base: df::diffuse_reflection_bsdf(tint: final_base_color), + normal: the_normal); + + // the metallic component doesn't have a diffuse component, it's only glossy + // base_color is applied to tint it + bsdf metallic_component = df::microfacet_ggx_smith_bsdf(tint: final_base_color, roughness_u: alpha); + + // final BSDF is a linear blend between dielectric and metallic component + bsdf dielectric_metal_mix = + df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: metallic_component, + weight: final_metallic), + df::bsdf_component( + component: dielectric_component, + weight: 1.0-final_metallic) + ) + ); + + // clearcoat layer + float clearcoat_grazing_refl = math::max((1.0 - final_clearcoat_roughness), 0.0); + float clearcoat_alpha = final_clearcoat_roughness * final_clearcoat_roughness; + + float3 the_clearcoat_normal = is_tangent_space_normal ? tangent_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ); + + + bsdf clearcoat = + df::custom_curve_layer( + base: df::weighted_layer( + layer: dielectric_metal_mix, + weight: 1.0, + normal: final_clearcoat_weight == 0.0 ? state::normal() : the_normal + ), + layer: df::microfacet_ggx_smith_bsdf( + roughness_u: clearcoat_alpha, + tint: color(1.0) + ), + normal_reflectivity: 0.04, + grazing_reflectivity: clearcoat_grazing_refl, + normal: the_clearcoat_normal, + weight: final_clearcoat_weight + ); + bsdf surface = is_unlit ? bsdf() : clearcoat; +} +in material( + thin_walled: two_sided, // Graphene? + surface: material_surface( + scattering: surface, + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + backface: material_surface( + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + geometry: material_geometry( + displacement: displacement, + normal: final_clearcoat_weight == 0.0 ? the_normal : state::normal(), + cutout_opacity: enable_opacity ? opacity : 1.0 + ) +); diff --git a/Shelf/BP_StandardShelf3/Materials/OmniUe4Function.mdl b/Shelf/BP_StandardShelf3/Materials/OmniUe4Function.mdl new file mode 100644 index 0000000000000000000000000000000000000000..84f4f0da48ff31d03ee611373fe3a4d2e04c9079 --- /dev/null +++ b/Shelf/BP_StandardShelf3/Materials/OmniUe4Function.mdl @@ -0,0 +1,1413 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.1 - using absolute import paths when importing standard modules + +mdl 1.6; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + + +export float3 convert_to_left_hand(float3 vec3, uniform bool up_z = true, uniform bool is_position = true) +[[ + anno::description("convert from RH to LH"), + anno::noinline() +]] +{ + float4x4 ZupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, -1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4x4 YupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4 vec4 = float4(vec3.x, vec3.y, vec3.z, is_position ? 1.0f : 0.0f); + + vec4 = vec4 * (up_z ? ZupConversion : YupConversion); + + return float3(vec4.x, vec4.y, vec4.z); +} + +export float3 transform_vector_from_tangent_to_world(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from tangent space to world space"), + anno::noinline() +]] +{ + /* flip_tangent_v */ + return convert_to_left_hand( + tangent_u * vector.x - tangent_v * vector.y + state::normal() * vector.z, + up_z, false); +} + +export float3 transform_vector_from_world_to_tangent(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from world space to tangent space"), + anno::noinline() +]] +{ + float3 vecRH = convert_to_left_hand(vector, up_z, false); + /* flip_tangent_v */ + return vecRH.x * float3(tangent_u.x, -tangent_v.x, state::normal().x) + + vecRH.y * float3(tangent_u.y, -tangent_v.y, state::normal().y) + + vecRH.z * float3(tangent_u.z, -tangent_v.z, state::normal().z); +} + +export float4 unpack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Unpack a normal stored in a normal map"), + anno::noinline() +]] +{ + float2 normal_xy = float2(texture_sample.x, texture_sample.y); + + normal_xy = normal_xy * float2(2.0,2.0) - float2(1.0,1.0); + float normal_z = math::sqrt( math::saturate( 1.0 - math::dot( normal_xy, normal_xy ) ) ); + return float4( normal_xy.x, normal_xy.y, normal_z, 1.0 ); +} + +// for get color value from normal. +export float4 pack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Pack to color from a normal") +]] +{ + float2 return_xy = float2(texture_sample.x, texture_sample.y); + + return_xy = (return_xy + float2(1.0,1.0)) / float2(2.0,2.0); + + return float4( return_xy.x, return_xy.y, 0.0, 1.0 ); +} + +export float4 greyscale_texture_lookup( + float4 texture_sample = float4(0.0, 0.0, 0.0, 1.0) + ) +[[ + anno::description("Sampling a greyscale texture"), + anno::noinline() +]] +{ + return float4(texture_sample.x, texture_sample.x, texture_sample.x, texture_sample.x); +} + +export float3 pixel_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Pixel normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 vertex_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Vertex normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 landscape_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Landscape normal in world space") +]] +{ + float3 normalFromNormalmap = math::floor((::vertex_normal_world_space(up_z) * 0.5 + 0.5) * 255.0) / 255.0 * 2.0 - 1.0; + + float2 normalXY = float2(normalFromNormalmap.x, normalFromNormalmap.y); + return float3(normalXY.x, normalXY.y, math::sqrt(math::saturate(1.0 - math::dot(normalXY, normalXY)))); +} + +// Different implementation specific between mdl and hlsl for smoothstep +export float smoothstep(float a, float b, float l) +{ + if (a < b) + { + return math::smoothstep(a, b, l); + } + else if (a > b) + { + return 1.0 - math::smoothstep(b, a, l); + } + else + { + return l <= a ? 0.0 : 1.0; + } +} + +export float2 smoothstep(float2 a, float2 b, float2 l) +{ + return float2(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y)); +} + +export float3 smoothstep(float3 a, float3 b, float3 l) +{ + return float3(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z)); +} + +export float4 smoothstep(float4 a, float4 b, float4 l) +{ + return float4(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z), smoothstep(a.w, b.w, l.w)); +} + +export float2 smoothstep(float2 a, float2 b, float l) +{ + return float2(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l)); +} + +export float3 smoothstep(float3 a, float3 b, float l) +{ + return float3(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l)); +} + +export float4 smoothstep(float4 a, float4 b, float l) +{ + return float4(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l), smoothstep(a.w, b.w, l)); +} + +export float2 smoothstep(float a, float b, float2 l) +{ + return float2(smoothstep(a, b, l.x), smoothstep(a, b, l.y)); +} + +export float3 smoothstep(float a, float b, float3 l) +{ + return float3(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z)); +} + +export float4 smoothstep(float a, float b, float4 l) +{ + return float4(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z), smoothstep(a, b, l.w)); +} + +//------------------ Random from UE4 ----------------------- +float length2(float3 v) +{ + return math::dot(v, v); +} + +float3 GetPerlinNoiseGradientTextureAt(uniform texture_2d PerlinNoiseGradientTexture, float3 v) +{ + const float2 ZShear = float2(17.0f, 89.0f); + + float2 OffsetA = v.z * ZShear; + float2 TexA = (float2(v.x, v.y) + OffsetA + 0.5f) / 128.0f; + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA.x,1.0-TexA.y),tex::wrap_repeat,tex::wrap_repeat); + return float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z) * 2.0 - 1.0; +} + +float3 SkewSimplex(float3 In) +{ + return In + math::dot(In, float3(1.0 / 3.0f) ); +} +float3 UnSkewSimplex(float3 In) +{ + return In - math::dot(In, float3(1.0 / 6.0f) ); +} + +// 3D random number generator inspired by PCGs (permuted congruential generator) +// Using a **simple** Feistel cipher in place of the usual xor shift permutation step +// @param v = 3D integer coordinate +// @return three elements w/ 16 random bits each (0-0xffff). +// ~8 ALU operations for result.x (7 mad, 1 >>) +// ~10 ALU operations for result.xy (8 mad, 2 >>) +// ~12 ALU operations for result.xyz (9 mad, 3 >>) + +//TODO: uint3 +int3 Rand3DPCG16(int3 p) +{ + // taking a signed int then reinterpreting as unsigned gives good behavior for negatives + //TODO: uint3 + int3 v = int3(p); + + // Linear congruential step. These LCG constants are from Numerical Recipies + // For additional #'s, PCG would do multiple LCG steps and scramble each on output + // So v here is the RNG state + v = v * 1664525 + 1013904223; + + // PCG uses xorshift for the final shuffle, but it is expensive (and cheap + // versions of xorshift have visible artifacts). Instead, use simple MAD Feistel steps + // + // Feistel ciphers divide the state into separate parts (usually by bits) + // then apply a series of permutation steps one part at a time. The permutations + // use a reversible operation (usually ^) to part being updated with the result of + // a permutation function on the other parts and the key. + // + // In this case, I'm using v.x, v.y and v.z as the parts, using + instead of ^ for + // the combination function, and just multiplying the other two parts (no key) for + // the permutation function. + // + // That gives a simple mad per round. + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + + // only top 16 bits are well shuffled + return v >> 16; +} + +// Wraps noise for tiling texture creation +// @param v = unwrapped texture parameter +// @param bTiling = true to tile, false to not tile +// @param RepeatSize = number of units before repeating +// @return either original or wrapped coord +float3 NoiseTileWrap(float3 v, bool bTiling, float RepeatSize) +{ + return bTiling ? (math::frac(v / RepeatSize) * RepeatSize) : v; +} + +// Evaluate polynomial to get smooth transitions for Perlin noise +// only needed by Perlin functions in this file +// scalar(per component): 2 add, 5 mul +float4 PerlinRamp(float4 t) +{ + return t * t * t * (t * (t * 6 - 15) + 10); +} + +// Blum-Blum-Shub-inspired pseudo random number generator +// http://www.umbc.edu/~olano/papers/mNoise.pdf +// real BBS uses ((s*s) mod M) with bignums and M as the product of two huge Blum primes +// instead, we use a single prime M just small enough not to overflow +// note that the above paper used 61, which fits in a half, but is unusably bad +// @param Integer valued floating point seed +// @return random number in range [0,1) +// ~8 ALU operations (5 *, 3 frac) +float RandBBSfloat(float seed) +{ + float BBS_PRIME24 = 4093.0; + float s = math::frac(seed / BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + return s; +} + +// Modified noise gradient term +// @param seed - random seed for integer lattice position +// @param offset - [-1,1] offset of evaluation point from lattice point +// @return gradient direction (xyz) and contribution (w) from this lattice point +float4 MGradient(int seed, float3 offset) +{ + //TODO uint + int rand = Rand3DPCG16(int3(seed,0,0)).x; + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1.0 / 0x4000, 1.0 / 0x2000, 1.0 / 0x1000); + float3 direction = float3(int3(rand, rand, rand) & MGradientMask) * MGradientScale - 1; + return float4(direction.x, direction.y, direction.z, math::dot(direction, offset)); +} + +// compute Perlin and related noise corner seed values +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = true to return seed values for a repeating noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @param seed000-seed111 = hash function seeds for the eight corners +// @return fractional part of v +struct SeedValue +{ + float3 fv = float3(0); + float seed000 = 0; + float seed001 = 0; + float seed010 = 0; + float seed011 = 0; + float seed100 = 0; + float seed101 = 0; + float seed110 = 0; + float seed111 = 0; +}; + +SeedValue NoiseSeeds(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds; + seeds.fv = math::frac(v); + float3 iv = math::floor(v); + + const float3 primes = float3(19, 47, 101); + + if (bTiling) + { // can't algebraically combine with primes + seeds.seed000 = math::dot(primes, NoiseTileWrap(iv, true, RepeatSize)); + seeds.seed100 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 0), true, RepeatSize)); + seeds.seed010 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 0), true, RepeatSize)); + seeds.seed110 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 0), true, RepeatSize)); + seeds.seed001 = math::dot(primes, NoiseTileWrap(iv + float3(0, 0, 1), true, RepeatSize)); + seeds.seed101 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 1), true, RepeatSize)); + seeds.seed011 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 1), true, RepeatSize)); + seeds.seed111 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 1), true, RepeatSize)); + } + else + { // get to combine offsets with multiplication by primes in this case + seeds.seed000 = math::dot(iv, primes); + seeds.seed100 = seeds.seed000 + primes.x; + seeds.seed010 = seeds.seed000 + primes.y; + seeds.seed110 = seeds.seed100 + primes.y; + seeds.seed001 = seeds.seed000 + primes.z; + seeds.seed101 = seeds.seed100 + primes.z; + seeds.seed011 = seeds.seed010 + primes.z; + seeds.seed111 = seeds.seed110 + primes.z; + } + + return seeds; +} + +struct SimplexWeights +{ + float4 Result = float4(0); + float3 PosA = float3(0); + float3 PosB = float3(0); + float3 PosC = float3(0); + float3 PosD = float3(0); +}; + +// Computed weights and sample positions for simplex interpolation +// @return float4(a,b,c, d) Barycentric coordinate defined as Filtered = Tex(PosA) * a + Tex(PosB) * b + Tex(PosC) * c + Tex(PosD) * d +SimplexWeights ComputeSimplexWeights3D(float3 OrthogonalPos) +{ + SimplexWeights weights; + float3 OrthogonalPosFloor = math::floor(OrthogonalPos); + + weights.PosA = OrthogonalPosFloor; + weights.PosB = weights.PosA + float3(1, 1, 1); + + OrthogonalPos -= OrthogonalPosFloor; + + float Largest = math::max(OrthogonalPos.x, math::max(OrthogonalPos.y, OrthogonalPos.z)); + float Smallest = math::min(OrthogonalPos.x, math::min(OrthogonalPos.y, OrthogonalPos.z)); + + weights.PosC = weights.PosA + float3(Largest == OrthogonalPos.x, Largest == OrthogonalPos.y, Largest == OrthogonalPos.z); + weights.PosD = weights.PosA + float3(Smallest != OrthogonalPos.x, Smallest != OrthogonalPos.y, Smallest != OrthogonalPos.z); + + float RG = OrthogonalPos.x - OrthogonalPos.y; + float RB = OrthogonalPos.x - OrthogonalPos.z; + float GB = OrthogonalPos.y - OrthogonalPos.z; + + weights.Result.z = + math::min(math::max(0, RG), math::max(0, RB)) // X + + math::min(math::max(0, -RG), math::max(0, GB)) // Y + + math::min(math::max(0, -RB), math::max(0, -GB)); // Z + + weights.Result.w = + math::min(math::max(0, -RG), math::max(0, -RB)) // X + + math::min(math::max(0, RG), math::max(0, -GB)) // Y + + math::min(math::max(0, RB), math::max(0, GB)); // Z + + weights.Result.y = Smallest; + weights.Result.x = 1.0f - weights.Result.y - weights.Result.z - weights.Result.w; + + return weights; +} + +// filtered 3D gradient simple noise (few texture lookups, high quality) +// @param v >0 +// @return random number in the range -1 .. 1 +float SimplexNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 EvalPos) +{ + float3 OrthogonalPos = SkewSimplex(EvalPos); + + SimplexWeights Weights = ComputeSimplexWeights3D(OrthogonalPos); + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 32 bit) + float3 A = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosA); + float3 B = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosB); + float3 C = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosC); + float3 D = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosD); + + Weights.PosA = UnSkewSimplex(Weights.PosA); + Weights.PosB = UnSkewSimplex(Weights.PosB); + Weights.PosC = UnSkewSimplex(Weights.PosC); + Weights.PosD = UnSkewSimplex(Weights.PosD); + + float DistanceWeight; + + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosA)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float a = math::dot(A, EvalPos - Weights.PosA) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosB)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float b = math::dot(B, EvalPos - Weights.PosB) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosC)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float c = math::dot(C, EvalPos - Weights.PosC) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosD)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float d = math::dot(D, EvalPos - Weights.PosD) * DistanceWeight; + + return 32 * (a + b + c + d); +} + +// filtered 3D noise, can be optimized +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 v, bool bTiling, float RepeatSize) +{ + bTiling = true; + float3 fv = math::frac(v); + float3 iv0 = NoiseTileWrap(math::floor(v), bTiling, RepeatSize); + float3 iv1 = NoiseTileWrap(iv0 + 1, bTiling, RepeatSize); + + const int2 ZShear = int2(17, 89); + + float2 OffsetA = iv0.z * ZShear; + float2 OffsetB = OffsetA + ZShear; // non-tiling, use relative offset + if (bTiling) // tiling, have to compute from wrapped coordinates + { + OffsetB = iv1.z * ZShear; + } + + // Texture size scale factor + float ts = 1 / 128.0f; + + // texture coordinates for iv0.xy, as offset for both z slices + float2 TexA0 = (float2(iv0.x, iv0.y) + OffsetA + 0.5f) * ts; + float2 TexB0 = (float2(iv0.x, iv0.y) + OffsetB + 0.5f) * ts; + + // texture coordinates for iv1.xy, as offset for both z slices + float2 TexA1 = TexA0 + ts; // for non-tiling, can compute relative to existing coordinates + float2 TexB1 = TexB0 + ts; + if (bTiling) // for tiling, need to compute from wrapped coordinates + { + TexA1 = (float2(iv1.x, iv1.y) + OffsetA + 0.5f) * ts; + TexB1 = (float2(iv1.x, iv1.y) + OffsetB + 0.5f) * ts; + } + + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 8, 16 or 32 bit) + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 A = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 B = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 C = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 D = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 E = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 F = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 G = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 H = PerlinNoiseColor * 2 - 1; + + float a = math::dot(A, fv - float3(0, 0, 0)); + float b = math::dot(B, fv - float3(1, 0, 0)); + float c = math::dot(C, fv - float3(0, 1, 0)); + float d = math::dot(D, fv - float3(1, 1, 0)); + float e = math::dot(E, fv - float3(0, 0, 1)); + float f = math::dot(F, fv - float3(1, 0, 1)); + float g = math::dot(G, fv - float3(0, 1, 1)); + float h = math::dot(H, fv - float3(1, 1, 1)); + + float4 Weights = PerlinRamp(math::frac(float4(fv.x, fv.y, fv.z, 0))); + + float i = math::lerp(math::lerp(a, b, Weights.x), math::lerp(c, d, Weights.x), Weights.y); + float j = math::lerp(math::lerp(e, f, Weights.x), math::lerp(g, h, Weights.x), Weights.y); + + return math::lerp(i, j, Weights.z); +} + +// @return random number in the range -1 .. 1 +// scalar: 6 frac, 31 mul/mad, 15 add, +float FastGradientPerlinNoise3D_TEX(uniform texture_3d PerlinNoise3DTexture, float3 xyz) +{ + // needs to be the same value when creating the PerlinNoise3D texture + float Extent = 16; + + // last texel replicated and needed for filtering + // scalar: 3 frac, 6 mul + xyz = math::frac(xyz / (Extent - 1)) * (Extent - 1); + + // scalar: 3 frac + float3 uvw = math::frac(xyz); + // = floor(xyz); + // scalar: 3 add + float3 p0 = xyz - uvw; +// float3 f = math::pow(uvw, 2) * 3.0f - math::pow(uvw, 3) * 2.0f; // original perlin hermite (ok when used without bump mapping) + // scalar: 2*3 add 5*3 mul + float4 pr = PerlinRamp(float4(uvw.x, uvw.y, uvw.z, 0)); + float3 f = float3(pr.x, pr.y, pr.z); // new, better with continues second derivative for bump mapping + // scalar: 3 add + float3 p = p0 + f; + // scalar: 3 mad + // TODO: need reverse??? + float4 NoiseSample = tex::lookup_float4(PerlinNoise3DTexture, p / Extent + 0.5f / Extent); // +0.5f to get rid of bilinear offset + + // reconstruct from 8bit (using mad with 2 constants and dot4 was same instruction count) + // scalar: 4 mad, 3 mul, 3 add + float3 n = float3(NoiseSample.x, NoiseSample.y, NoiseSample.z) * 255.0f / 127.0f - 1.0f; + float d = NoiseSample.w * 255.f - 127; + return math::dot(xyz, n) - d; +} + +// Perlin-style "Modified Noise" +// http://www.umbc.edu/~olano/papers/index.html#mNoise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = MGradient(int(seeds.seed000), seeds.fv - float3(0, 0, 0)).w; + float rand100 = MGradient(int(seeds.seed100), seeds.fv - float3(1, 0, 0)).w; + float rand010 = MGradient(int(seeds.seed010), seeds.fv - float3(0, 1, 0)).w; + float rand110 = MGradient(int(seeds.seed110), seeds.fv - float3(1, 1, 0)).w; + float rand001 = MGradient(int(seeds.seed001), seeds.fv - float3(0, 0, 1)).w; + float rand101 = MGradient(int(seeds.seed101), seeds.fv - float3(1, 0, 1)).w; + float rand011 = MGradient(int(seeds.seed011), seeds.fv - float3(0, 1, 1)).w; + float rand111 = MGradient(int(seeds.seed111), seeds.fv - float3(1, 1, 1)).w; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D value noise - used to be incorrectly called Perlin noise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float ValueNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = RandBBSfloat(seeds.seed000) * 2 - 1; + float rand100 = RandBBSfloat(seeds.seed100) * 2 - 1; + float rand010 = RandBBSfloat(seeds.seed010) * 2 - 1; + float rand110 = RandBBSfloat(seeds.seed110) * 2 - 1; + float rand001 = RandBBSfloat(seeds.seed001) * 2 - 1; + float rand101 = RandBBSfloat(seeds.seed101) * 2 - 1; + float rand011 = RandBBSfloat(seeds.seed011) * 2 - 1; + float rand111 = RandBBSfloat(seeds.seed111) * 2 - 1; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D jitter offset within a voronoi noise cell +// @param pos - integer lattice corner +// @return random offsets vector +float3 VoronoiCornerSample(float3 pos, int Quality) +{ + // random values in [-0.5, 0.5] + float3 noise = float3(Rand3DPCG16(int3(pos))) / 0xffff - 0.5; + + // quality level 1 or 2: searches a 2x2x2 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 2x2x2 search + if (Quality <= 2) + { + return math::normalize(noise) * 0.2588; + } + + // quality level 3: searches a 3x3x3 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 3x3x3 search + if (Quality == 3) + { + return math::normalize(noise) * 0.3090; + } + + // quality level 4: jitter to anywhere in the cell, needs 4x4x4 search + return noise; +} + +// compare previous best with a new candidate +// not producing point locations makes it easier for compiler to eliminate calculations when they're not needed +// @param minval = location and distance of best candidate seed point before the new one +// @param candidate = candidate seed point +// @param offset = 3D offset to new candidate seed point +// @param bDistanceOnly = if true, only set maxval.w with distance, otherwise maxval.w is distance and maxval.xyz is position +// @return position (if bDistanceOnly is false) and distance to closest seed point so far +float4 VoronoiCompare(float4 minval, float3 candidate, float3 offset, bool bDistanceOnly) +{ + if (bDistanceOnly) + { + return float4(0, 0, 0, math::min(minval.w, math::dot(offset, offset))); + } + else + { + float newdist = math::dot(offset, offset); + return newdist > minval.w ? minval : float4(candidate.x, candidate.y, candidate.z, newdist); + } +} + +// 220 instruction Worley noise +float4 VoronoiNoise3D_ALU(float3 v, int Quality, bool bTiling, float RepeatSize, bool bDistanceOnly) +{ + float3 fv = math::frac(v), fv2 = math::frac(v + 0.5); + float3 iv = math::floor(v), iv2 = math::floor(v + 0.5); + + // with initial minimum distance = infinity (or at least bigger than 4), first min is optimized away + float4 mindist = float4(0,0,0,100); + float3 p, offset; + + // quality level 3: do a 3x3x3 search + if (Quality == 3) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 1; ++offset_x) + { + for (offset_y = -1; offset_y <= 1; ++offset_y) + { + for (offset_z = -1; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + + // everybody else searches a base 2x2x2 neighborhood + else + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = 0; offset_x <= 1; ++offset_x) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // quality level 2, do extra set of points, offset by half a cell + if (Quality == 2) + { + // 467 is just an offset to a different area in the random number field to avoid similar neighbor artifacts + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize) + 467, Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + } + + // quality level 4: add extra sets of four cells in each direction + if (Quality >= 4) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 2; offset_x += 3) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + // along x axis + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along y axis + p = float3(offset.y, offset.z, offset.x) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.y, offset.z, offset.x), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along z axis + p = float3(offset.z, offset.x, offset.y) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.z, offset.x, offset.y), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + } + } + } + } + + // transform squared distance to real distance + return float4(mindist.x, mindist.y, mindist.z, math::sqrt(mindist.w)); +} + +// Coordinates for corners of a Simplex tetrahedron +// Based on McEwan et al., Efficient computation of noise in GLSL, JGT 2011 +// @param v = 3D noise argument +// @return 4 corner locations +float4x3 SimplexCorners(float3 v) +{ + // find base corner by skewing to tetrahedral space and back + float3 tet = math::floor(v + v.x/3 + v.y/3 + v.z/3); + float3 base = tet - tet.x/6 - tet.y/6 - tet.z/6; + float3 f = v - base; + + // Find offsets to other corners (McEwan did this in tetrahedral space, + // but since skew is along x=y=z axis, this works in Euclidean space too.) + float3 g = math::step(float3(f.y,f.z,f.x), float3(f.x,f.y,f.z)), h = 1 - float3(g.z, g.x, g.y); + float3 a1 = math::min(g, h) - 1.0 / 6.0, a2 = math::max(g, h) - 1.0 / 3.0; + + // four corners + return float4x3(base, base + a1, base + a2, base + 0.5); +} + +// Improved smoothing function for simplex noise +// @param f = fractional distance to four tetrahedral corners +// @return weight for each corner +float4 SimplexSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + return (1 * scale + s*(-3 * scale + s*(3 * scale - s*scale))); +} + +// Derivative of simplex noise smoothing function +// @param f = fractional distanc eto four tetrahedral corners +// @return derivative of smoothing function for each corner by x, y and z +float3x4 SimplexDSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + s = -12 * scale + s*(24 * scale - s * 12 * scale); + + return float3x4( + s * float4(f[0][0], f[1][0], f[2][0], f[3][0]), + s * float4(f[0][1], f[1][1], f[2][1], f[3][1]), + s * float4(f[0][2], f[1][2], f[2][2], f[3][2])); +} + +// Simplex noise and its Jacobian derivative +// @param v = 3D noise argument +// @param bTiling = whether to repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension, must be a multiple of 3 +// @return float3x3 Jacobian in J[*].xyz, vector noise in J[*].w +// J[0].w, J[1].w, J[2].w is a Perlin-style simplex noise with vector output, e.g. (Nx, Ny, Nz) +// J[i].x is X derivative of the i'th component of the noise so J[2].x is dNz/dx +// You can use this to compute the noise, gradient, curl, or divergence: +// float3x4 J = JacobianSimplex_ALU(...); +// float3 VNoise = float3(J[0].w, J[1].w, J[2].w); // 3D noise +// float3 Grad = J[0].xyz; // gradient of J[0].w +// float3 Curl = float3(J[1][2]-J[2][1], J[2][0]-J[0][2], J[0][1]-J[1][2]); +// float Div = J[0][0]+J[1][1]+J[2][2]; +// All of these are confirmed to compile out all unneeded terms. +// So Grad of X doesn't compute Y or Z components, and VNoise doesn't do any of the derivative computation. +float3x4 JacobianSimplex_ALU(float3 v, bool bTiling, float RepeatSize) +{ + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1. / 0x4000, 1. / 0x2000, 1. / 0x1000); + + // corners of tetrahedron + float4x3 T = SimplexCorners(v); + // TODO: uint3 + int3 rand = int3(0); + float4x3 gvec0 = float4x3(1.0); + float4x3 gvec1 = float4x3(1.0); + float4x3 gvec2 = float4x3(1.0); + float4x3 fv = float4x3(1.0); + float3x4 grad = float3x4(1.0); + + // processing of tetrahedral vertices, unrolled + // to compute gradient at each corner + fv[0] = v - T[0]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[0] + 0.5, bTiling, RepeatSize)))); + gvec0[0] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[0] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[0] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][0] = math::dot(gvec0[0], fv[0]); + grad[1][0] = math::dot(gvec1[0], fv[0]); + grad[2][0] = math::dot(gvec2[0], fv[0]); + + fv[1] = v - T[1]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[1] + 0.5, bTiling, RepeatSize)))); + gvec0[1] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][1] = math::dot(gvec0[1], fv[1]); + grad[1][1] = math::dot(gvec1[1], fv[1]); + grad[2][1] = math::dot(gvec2[1], fv[1]); + + fv[2] = v - T[2]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[2] + 0.5, bTiling, RepeatSize)))); + gvec0[2] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[2] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[2] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][2] = math::dot(gvec0[2], fv[2]); + grad[1][2] = math::dot(gvec1[2], fv[2]); + grad[2][2] = math::dot(gvec2[2], fv[2]); + + fv[3] = v - T[3]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[3] + 0.5, bTiling, RepeatSize)))); + gvec0[3] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[3] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[3] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][3] = math::dot(gvec0[3], fv[3]); + grad[1][3] = math::dot(gvec1[3], fv[3]); + grad[2][3] = math::dot(gvec2[3], fv[3]); + + // blend gradients + float4 sv = SimplexSmooth(fv); + float3x4 ds = SimplexDSmooth(fv); + + float3x4 jacobian = float3x4(1.0); + float3 vec0 = gvec0*sv + grad[0]*ds; // NOTE: mdl is column major, convert from UE4 (row major) + jacobian[0] = float4(vec0.x, vec0.y, vec0.z, math::dot(sv, grad[0])); + float3 vec1 = gvec1*sv + grad[1]*ds; + jacobian[1] = float4(vec1.x, vec1.y, vec1.z, math::dot(sv, grad[1])); + float3 vec2 = gvec2*sv + grad[2]*ds; + jacobian[2] = float4(vec2.x, vec2.y, vec2.z, math::dot(sv, grad[2])); + + return jacobian; +} + +// While RepeatSize is a float here, the expectation is that it would be largely integer values coming in from the UI. The downstream logic assumes +// floats for all called functions (NoiseTileWrap) and this prevents any float-to-int conversion errors from automatic type conversion. +float Noise3D_Multiplexer(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, int Function, float3 Position, int Quality, bool bTiling, float RepeatSize) +{ + // verified, HLSL compiled out the switch if Function is a constant + switch(Function) + { + case 0: + return SimplexNoise3D_TEX(PerlinNoiseGradientTexture, Position); + case 1: + return GradientNoise3D_TEX(PerlinNoiseGradientTexture, Position, bTiling, RepeatSize); + case 2: + return FastGradientPerlinNoise3D_TEX(PerlinNoise3DTexture, Position); + case 3: + return GradientNoise3D_ALU(Position, bTiling, RepeatSize); + case 4: + return ValueNoise3D_ALU(Position, bTiling, RepeatSize); + case 5: + return VoronoiNoise3D_ALU(Position, Quality, bTiling, RepeatSize, true).w * 2.0 - 1.0; + } + return 0; +} +//---------------------------------------------------------- + +export float noise(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, float3 Position, float Scale, float Quality, float Function, float Turbulence, float Levels, float OutputMin, float OutputMax, float LevelScale, float FilterWidth, float Tiling, float RepeatSize) +[[ + anno::description("Noise"), + anno::noinline() +]] +{ + Position *= Scale; + FilterWidth *= Scale; + + float Out = 0.0f; + float OutScale = 1.0f; + float InvLevelScale = 1.0f / LevelScale; + + int iFunction(Function); + int iQuality(Quality); + int iLevels(Levels); + bool bTurbulence(Turbulence); + bool bTiling(Tiling); + + for(int i = 0; i < iLevels; ++i) + { + // fade out noise level that are too high frequent (not done through dynamic branching as it usually requires gradient instructions) + OutScale *= math::saturate(1.0 - FilterWidth); + + if(bTurbulence) + { + Out += math::abs(Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize)) * OutScale; + } + else + { + Out += Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize) * OutScale; + } + + Position *= LevelScale; + RepeatSize *= LevelScale; + OutScale *= InvLevelScale; + FilterWidth *= LevelScale; + } + + if(!bTurbulence) + { + // bring -1..1 to 0..1 range + Out = Out * 0.5f + 0.5f; + } + + // Out is in 0..1 range + return math::lerp(OutputMin, OutputMax, Out); +} + +// Material node for noise functions returning a vector value +// @param LevelScale usually 2 but higher values allow efficient use of few levels +// @return in user defined range (OutputMin..OutputMax) +export float4 vector4_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise"), + anno::noinline() +]] +{ + float4 result = float4(0,0,0,1); + float3 ret = float3(0); + int iQuality = int(Quality); + int iFunction = int(Function); + bool bTiling = Tiling > 0.0; + + float3x4 Jacobian = JacobianSimplex_ALU(Position, bTiling, TileSize); // compiled out if not used + + // verified, HLSL compiled out the switch if Function is a constant + switch (iFunction) + { + case 0: // Cellnoise + ret = float3(Rand3DPCG16(int3(math::floor(NoiseTileWrap(Position, bTiling, TileSize))))) / 0xffff; + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 1: // Color noise + ret = float3(Jacobian[0].w, Jacobian[1].w, Jacobian[2].w); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 2: // Gradient + result = Jacobian[0]; + break; + case 3: // Curl + ret = float3(Jacobian[2][1] - Jacobian[1][2], Jacobian[0][2] - Jacobian[2][0], Jacobian[1][0] - Jacobian[0][1]); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 4: // Voronoi + result = VoronoiNoise3D_ALU(Position, iQuality, bTiling, TileSize, false); + break; + } + return result; +} + +export float3 vector3_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise float3 version"), + anno::noinline() +]] +{ + float4 noise = vector4_noise(Position, Quality, Function, Tiling, TileSize); + return float3(noise.x, noise.y, noise.z); +} + + +// workaround for ue4 fresnel (without supporting for camera vector) : replacing it with 0.0, means facing to the view +export float fresnel(float exponent [[anno::unused()]], float base_reflect_fraction [[anno::unused()]], float3 normal [[anno::unused()]]) +[[ + anno::description("Fresnel"), + anno::noinline() +]] +{ + return 0.0; +} + +export float fresnel_function(float3 normal_vector [[anno::unused()]], float3 camera_vector [[anno::unused()]], + bool invert_fresnel [[anno::unused()]], float power [[anno::unused()]], + bool use_cheap_contrast [[anno::unused()]], float cheap_contrast_dark [[anno::unused()]], float cheap_contrast_bright [[anno::unused()]], + bool clamp_fresnel_dot_product [[anno::unused()]]) +[[ + anno::description("Fresnel Function"), + anno::noinline() +]] +{ + return 0.0; +} + +export float3 camera_vector(uniform bool up_z = true) +[[ + anno::description("Camera Vector"), + anno::noinline() +]] +{ + // assume camera postion is 0,0,0 + return math::normalize(float3(0) - convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)); +} + +export float pixel_depth() +[[ + anno::description("Pixel Depth"), + anno::noinline() +]] +{ + return 256.0f; +} + +export float scene_depth() +[[ + anno::description("Scene Depth") +]] +{ + return 65500.0f; +} + +export float3 scene_color() +[[ + anno::description("Scene Color") +]] +{ + return float3(1.0f); +} + +export float4 vertex_color() +[[ + anno::description("Vertex Color"), + anno::noinline() +]] +{ + return float4(1.0f); +} + +export float4 vertex_color_from_coordinate(int VertexColorCoordinateIndex) +[[ + anno::description("Vertex Color for float2 PrimVar"), + anno::noinline() +]] +{ + // Kit only supports 4 uv sets, 2 uvs are available to vertex color. if vertex color index is invalid, output the constant WHITE color intead + return (VertexColorCoordinateIndex > 2) ? float4(1.0f) : float4(state::texture_coordinate(VertexColorCoordinateIndex).x, state::texture_coordinate(VertexColorCoordinateIndex).y, state::texture_coordinate(VertexColorCoordinateIndex+1).x, state::texture_coordinate(VertexColorCoordinateIndex+1).y); +} + +export float3 camera_position() +[[ + anno::description("Camera Position"), + anno::noinline() +]] +{ + return float3(1000.0f, 0, 0); +} + +export float3 rotate_about_axis(float4 NormalizedRotationAxisAndAngle, float3 PositionOnAxis, float3 Position) +[[ + anno::description("Rotates Position about the given axis by the given angle") +]] +{ + // Project Position onto the rotation axis and find the closest point on the axis to Position + float3 NormalizedRotationAxis = float3(NormalizedRotationAxisAndAngle.x,NormalizedRotationAxisAndAngle.y,NormalizedRotationAxisAndAngle.z); + float3 ClosestPointOnAxis = PositionOnAxis + NormalizedRotationAxis * math::dot(NormalizedRotationAxis, Position - PositionOnAxis); + // Construct orthogonal axes in the plane of the rotation + float3 UAxis = Position - ClosestPointOnAxis; + float3 VAxis = math::cross(NormalizedRotationAxis, UAxis); + float[2] SinCosAngle = math::sincos(NormalizedRotationAxisAndAngle.w); + // Rotate using the orthogonal axes + float3 R = UAxis * SinCosAngle[1] + VAxis * SinCosAngle[0]; + // Reconstruct the rotated world space position + float3 RotatedPosition = ClosestPointOnAxis + R; + // Convert from position to a position offset + return RotatedPosition - Position; +} + +export float2 rotate_scale_offset_texcoords(float2 InTexCoords, float4 InRotationScale, float2 InOffset) +[[ + anno::description("Returns a float2 texture coordinate after 2x2 transform and offset applied") +]] +{ + return float2(math::dot(InTexCoords, float2(InRotationScale.x, InRotationScale.y)), math::dot(InTexCoords, float2(InRotationScale.z, InRotationScale.w))) + InOffset; +} + +export float3 reflection_custom_world_normal(float3 WorldNormal, bool bNormalizeInputNormal, uniform bool up_z = true) +[[ + anno::description("Reflection vector about the specified world space normal") +]] +{ + if (bNormalizeInputNormal) + { + WorldNormal = math::normalize(WorldNormal); + } + + return -camera_vector(up_z) + WorldNormal * math::dot(WorldNormal, camera_vector(up_z)) * 2.0; +} + +export float3 reflection_vector(uniform bool up_z = true) +[[ + anno::description("Reflection Vector"), + anno::noinline() +]] +{ + float3 normal = convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); + return reflection_custom_world_normal(normal, false, up_z); +} + +export float dither_temporalAA(float AlphaThreshold = 0.5f, float Random = 1.0f [[anno::unused()]]) +[[ + anno::description("Dither TemporalAA"), + anno::noinline() +]] +{ + return AlphaThreshold; +} + +export float3 black_body( float Temp ) +[[ + anno::description("Black Body"), + anno::noinline() +]] +{ + float u = ( 0.860117757f + 1.54118254e-4f * Temp + 1.28641212e-7f * Temp*Temp ) / ( 1.0f + 8.42420235e-4f * Temp + 7.08145163e-7f * Temp*Temp ); + float v = ( 0.317398726f + 4.22806245e-5f * Temp + 4.20481691e-8f * Temp*Temp ) / ( 1.0f - 2.89741816e-5f * Temp + 1.61456053e-7f * Temp*Temp ); + + float x = 3*u / ( 2*u - 8*v + 4 ); + float y = 2*v / ( 2*u - 8*v + 4 ); + float z = 1 - x - y; + + float Y = 1; + float X = Y/y * x; + float Z = Y/y * z; + + float3x3 XYZtoRGB = float3x3( + float3(3.2404542, -1.5371385, -0.4985314), + float3(-0.9692660, 1.8760108, 0.0415560), + float3(0.0556434, -0.2040259, 1.0572252) + ); + + return XYZtoRGB * float3( X, Y, Z ) * math::pow( 0.0004 * Temp, 4 ); +} + +export float per_instance_random(uniform texture_2d PerlinNoiseGradientTexture, int NumberInstances) +[[ + anno::description("Per Instance Random"), + anno::noinline() +]] +{ + float weight = state::object_id() / float(NumberInstances); + return NumberInstances == 0 ? 0.0 : tex::lookup_float4(PerlinNoiseGradientTexture, float2(weight, 1.0 - weight), tex::wrap_repeat, tex::wrap_repeat).x; +} + +//------------------ Hair from UE4 ----------------------- +float3 hair_absorption_to_color(float3 A) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::exp(-math::sqrt(A) * D); +} + +float3 hair_color_to_absorption(float3 C) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::pow(math::log(C) / D, 2.0f); +} + +export float3 get_hair_color_from_melanin(float InMelanin, float InRedness, float3 InDyeColor) +[[ + anno::description("Hair Color") +]] +{ + InMelanin = math::saturate(InMelanin); + InRedness = math::saturate(InRedness); + float Melanin = -math::log(math::max(1 - InMelanin, 0.0001f)); + float Eumelanin = Melanin * (1 - InRedness); + float Pheomelanin = Melanin * InRedness; + + float3 DyeAbsorption = hair_color_to_absorption(math::saturate(InDyeColor)); + float3 Absorption = Eumelanin * float3(0.506f, 0.841f, 1.653f) + Pheomelanin * float3(0.343f, 0.733f, 1.924f); + + return hair_absorption_to_color(Absorption + DyeAbsorption); +} + +export float3 local_object_bounds_min() +[[ + anno::description("Local Object Bounds Min"), + anno::noinline() +]] +{ + return float3(0.0); +} + +export float3 local_object_bounds_max() +[[ + anno::description("Local Object Bounds Max"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float3 object_bounds() +[[ + anno::description("Object Bounds"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float object_radius() +[[ + anno::description("Object Radius"), + anno::noinline() +]] +{ + return 100.0f; +} + +export float3 object_world_position(uniform bool up_z = true) +[[ + anno::description("Object World Position"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)*state::meters_per_scene_unit()*100.0; +} + +export float3 object_orientation() +[[ + anno::description("Object Orientation"), + anno::noinline() +]] +{ + return float3(0); +} + +export float rcp(float x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float2 rcp(float2 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float3 rcp(float3 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float4 rcp(float4 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export int BitFieldExtractI32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractI32 int"), + anno::noinline() +]] +{ + Size &= 3; + Offset &= 3; + + if (Size == 0) + return 0; + else if (Offset + Size < 32) + return (Data << (32 - Size - Offset)) >> (32 - Size); + else + return Data >> Offset; +} + +export int BitFieldExtractI32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractI32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(int(Data), int(Size), int(Offset)); +} + +export int BitFieldExtractU32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractU32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export int BitFieldExtractU32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractU32 int"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export float3 EyeAdaptationInverseLookup(float3 LightValue, float Alpha) +[[ + anno::description("EyeAdaptationInverseLookup"), + anno::noinline() +]] +{ + float Adaptation = 1.0f; + + // When Alpha=0.0, we want to multiply by 1.0. when Alpha = 1.0, we want to multiply by 1/Adaptation. + // So the lerped value is: + // LerpLogScale = Lerp(log(1),log(1/Adaptaiton),T) + // Which is simplified as: + // LerpLogScale = Lerp(0,-log(Adaptation),T) + // LerpLogScale = -T * logAdaptation; + + float LerpLogScale = -Alpha * math::log(Adaptation); + float Scale = math::exp(LerpLogScale); + return LightValue * Scale; +} diff --git a/Shelf/BP_StandardShelf3/Materials/Textures/T_colormask-1_M.png b/Shelf/BP_StandardShelf3/Materials/Textures/T_colormask-1_M.png new file mode 100644 index 0000000000000000000000000000000000000000..635298d188d065565ad88eeee5f06338323fa5aa --- /dev/null +++ b/Shelf/BP_StandardShelf3/Materials/Textures/T_colormask-1_M.png @@ -0,0 +1,3 @@ +version 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b/Shelf/BP_StandardShelf3/Props/HorizontalPlate.usd differ diff --git a/Shelf/BP_StandardShelf3/Props/SideGuardPlate_2.usd b/Shelf/BP_StandardShelf3/Props/SideGuardPlate_2.usd new file mode 100644 index 0000000000000000000000000000000000000000..dcd63ecfd3edbf48d7426a55bcefb089a88074b1 Binary files /dev/null and b/Shelf/BP_StandardShelf3/Props/SideGuardPlate_2.usd differ diff --git a/Shelf/BP_StandardShelf3/instance.usd b/Shelf/BP_StandardShelf3/instance.usd new file mode 100644 index 0000000000000000000000000000000000000000..f4921abd430c082af0c423d1e40a8dd95cacdd14 Binary files /dev/null and b/Shelf/BP_StandardShelf3/instance.usd differ diff --git a/Shelf/BP_StandardShelf4/Materials/MI_Shelves.mdl b/Shelf/BP_StandardShelf4/Materials/MI_Shelves.mdl new file mode 100644 index 0000000000000000000000000000000000000000..91f1db723e6c2026a0b8f72d4760ee623410fec6 --- /dev/null +++ b/Shelf/BP_StandardShelf4/Materials/MI_Shelves.mdl @@ -0,0 +1,108 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material MI_Shelves( + uniform texture_2d Normal = texture_2d("./Textures/DefaultNormal.png",::tex::gamma_linear) + [[ + anno::display_name("Normal"), + anno::ui_order(32), + sampler_normal() + ]], + float Brightness = 1.0 + [[ + anno::display_name("Brightness"), + anno::ui_order(32) + ]], + float4 Color = float4(1.0,1.0,1.0,1.0) + [[ + anno::display_name("Color"), + anno::ui_order(32) + ]], + float Hue = 0.0 + [[ + anno::display_name("Hue"), + anno::ui_order(32) + ]], + uniform texture_2d Albedo = texture_2d("./Textures/DefaultDiffuse.png",::tex::gamma_srgb) + [[ + anno::display_name("Albedo"), + anno::ui_order(32), + sampler_color() + ]], + float Desaturate = 0.0 + [[ + anno::display_name("Desaturate"), + anno::ui_order(32) + ]], + uniform texture_2d AORM = texture_2d("./Textures/DefaultDiffuse_TC_Masks.png",::tex::gamma_linear) + [[ + anno::display_name("AORM"), + anno::ui_order(32), + sampler_masks() + ]], + float Roughness = 1.0 + [[ + anno::display_name("Roughness"), + anno::ui_order(32) + ]], + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + float4 Local0 = ::unpack_normal_map(tex::lookup_float4(Normal,float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat)); + + float3 Normal_mdl = float3(Local0.x,Local0.y,Local0.z); + + float Local1 = (Hue * 6.283185); + float3 Local2 = math::normalize(float3(1.0,1.0,1.0)); + float4 Local3 = tex::lookup_float4(Albedo,float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float3 Local4 = ::rotate_about_axis(float4(Local2.x,Local2.y,Local2.z,Local1),float3(0.0,0.0,0.0),float3(Local3.x,Local3.y,Local3.z)); + float3 Local5 = (Local4 + float3(Local3.x,Local3.y,Local3.z)); + float Local6 = math::dot(Local5, float3(0.3,0.59,0.11)); + float3 Local7 = math::lerp(Local5,float3(Local6,Local6,Local6),Desaturate); + float3 Local8 = (float3(Color.x,Color.y,Color.z) * Local7); + float3 Local9 = (Brightness * Local8); + float4 Local10 = tex::lookup_float4(AORM,float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float Local11 = (Roughness * Local10.y); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float OpacityMask_mdl = 1.0; + float3 BaseColor_mdl = Local9; + float Metallic_mdl = Local10.z; + float Specular_mdl = 0.2; + float Roughness_mdl = Local11; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_StandardShelf4/Materials/OmniUe4Base.mdl b/Shelf/BP_StandardShelf4/Materials/OmniUe4Base.mdl new file mode 100644 index 0000000000000000000000000000000000000000..a441fbaf28040302c7aaabfbcf14b24a85bdf643 --- /dev/null +++ b/Shelf/BP_StandardShelf4/Materials/OmniUe4Base.mdl @@ -0,0 +1,224 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.0 - first version +//* 1.0.1 - merge unlit template +//* 1.0.2 - Fix EDF in the back side: the EDF contained in surface is only used for the front side and not for the back side +//* 1.0.3 - UE4 normal mapping: Geometry normal shouldn't be changed +//* 1.0.4 - using absolute import paths when importing standard modules + +mdl 1.3; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + +float emissive_multiplier() +[[ + anno::description("the multiplier to convert UE4 emissive to raw data"), + anno::noinline() +]] +{ + return 20.0f * 128.0f; +} + +float3 tangent_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in tangent space"), + anno::noinline() +]] +{ + return math::normalize( + tangent_u * normal.x - /* flip_tangent_v */ + tangent_v * normal.y + + state::normal() * (normal.z)); +} + +float3 world_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in world space"), + anno::noinline() +]] +{ + return tangent_space_normal( + math::normalize( + normal.x * float3(tangent_u.x, tangent_v.x, state::normal().x) - + normal.y * float3(tangent_u.y, tangent_v.y, state::normal().y) + + normal.z * float3(tangent_u.z, tangent_v.z, state::normal().z)), + tangent_u, + tangent_v + ); +} + +export material OmniUe4Base( + float3 base_color = float3(0.0, 0.0, 0.0), + float metallic = 0.0, + float roughness = 0.5, + float specular = 0.5, + float3 normal = float3(0.0,0.0,1.0), + float clearcoat_weight = 0.0, + float clearcoat_roughness = 0.0, + float3 clearcoat_normal = float3(0.0,0.0,1.0), + uniform bool enable_opacity = true, + float opacity = 1.0, + float3 emissive_color = float3(0.0, 0.0, 0.0), + float3 displacement = float3(0.0), + uniform bool is_tangent_space_normal = true, + uniform bool two_sided = false, + uniform bool is_unlit = false +) +[[ + anno::display_name("Omni UE4 Base"), + anno::description("Omni UE4 Base, supports UE4 default lit and clearcoat shading model"), + anno::version( 1, 0, 0), + anno::author("NVIDIA CORPORATION"), + anno::key_words(string[]("omni", "UE4", "omniverse", "lit", "clearcoat", "generic")) +]] + = let { + color final_base_color = math::saturate(base_color); + float final_metallic = math::saturate(metallic); + float final_roughness = math::saturate(roughness); + float final_specular = math::saturate(specular); + color final_emissive_color = math::max(emissive_color, 0.0f) * emissive_multiplier(); /*factor for converting ue4 emissive to raw value*/ + float final_clearcoat_weight = math::saturate(clearcoat_weight); + float final_clearcoat_roughness = math::saturate(clearcoat_roughness); + float3 final_normal = math::normalize(normal); + float3 final_clearcoat_normal = math::normalize(clearcoat_normal); + + // - compute final roughness by squaring the "roughness" parameter + float alpha = final_roughness * final_roughness; + // reduce the reflectivity at grazing angles to avoid "dark edges" for high roughness due to the layering + float grazing_refl = math::max((1.0 - final_roughness), 0.0); + + float3 the_normal = is_unlit ? state::normal() : + (is_tangent_space_normal ? + tangent_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + )); + + // for the dielectric component we layer the glossy component on top of the diffuse one, + // the glossy layer has no color tint + + bsdf dielectric_component = df::custom_curve_layer( + weight: final_specular, + normal_reflectivity: 0.08, + grazing_reflectivity: grazing_refl, + layer: df::microfacet_ggx_smith_bsdf(roughness_u: alpha), + base: df::diffuse_reflection_bsdf(tint: final_base_color), + normal: the_normal); + + // the metallic component doesn't have a diffuse component, it's only glossy + // base_color is applied to tint it + bsdf metallic_component = df::microfacet_ggx_smith_bsdf(tint: final_base_color, roughness_u: alpha); + + // final BSDF is a linear blend between dielectric and metallic component + bsdf dielectric_metal_mix = + df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: metallic_component, + weight: final_metallic), + df::bsdf_component( + component: dielectric_component, + weight: 1.0-final_metallic) + ) + ); + + // clearcoat layer + float clearcoat_grazing_refl = math::max((1.0 - final_clearcoat_roughness), 0.0); + float clearcoat_alpha = final_clearcoat_roughness * final_clearcoat_roughness; + + float3 the_clearcoat_normal = is_tangent_space_normal ? tangent_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ); + + + bsdf clearcoat = + df::custom_curve_layer( + base: df::weighted_layer( + layer: dielectric_metal_mix, + weight: 1.0, + normal: final_clearcoat_weight == 0.0 ? state::normal() : the_normal + ), + layer: df::microfacet_ggx_smith_bsdf( + roughness_u: clearcoat_alpha, + tint: color(1.0) + ), + normal_reflectivity: 0.04, + grazing_reflectivity: clearcoat_grazing_refl, + normal: the_clearcoat_normal, + weight: final_clearcoat_weight + ); + bsdf surface = is_unlit ? bsdf() : clearcoat; +} +in material( + thin_walled: two_sided, // Graphene? + surface: material_surface( + scattering: surface, + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + backface: material_surface( + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + geometry: material_geometry( + displacement: displacement, + normal: final_clearcoat_weight == 0.0 ? the_normal : state::normal(), + cutout_opacity: enable_opacity ? opacity : 1.0 + ) +); diff --git a/Shelf/BP_StandardShelf4/Materials/OmniUe4Function.mdl b/Shelf/BP_StandardShelf4/Materials/OmniUe4Function.mdl new file mode 100644 index 0000000000000000000000000000000000000000..84f4f0da48ff31d03ee611373fe3a4d2e04c9079 --- /dev/null +++ b/Shelf/BP_StandardShelf4/Materials/OmniUe4Function.mdl @@ -0,0 +1,1413 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.1 - using absolute import paths when importing standard modules + +mdl 1.6; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + + +export float3 convert_to_left_hand(float3 vec3, uniform bool up_z = true, uniform bool is_position = true) +[[ + anno::description("convert from RH to LH"), + anno::noinline() +]] +{ + float4x4 ZupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, -1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4x4 YupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4 vec4 = float4(vec3.x, vec3.y, vec3.z, is_position ? 1.0f : 0.0f); + + vec4 = vec4 * (up_z ? ZupConversion : YupConversion); + + return float3(vec4.x, vec4.y, vec4.z); +} + +export float3 transform_vector_from_tangent_to_world(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from tangent space to world space"), + anno::noinline() +]] +{ + /* flip_tangent_v */ + return convert_to_left_hand( + tangent_u * vector.x - tangent_v * vector.y + state::normal() * vector.z, + up_z, false); +} + +export float3 transform_vector_from_world_to_tangent(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from world space to tangent space"), + anno::noinline() +]] +{ + float3 vecRH = convert_to_left_hand(vector, up_z, false); + /* flip_tangent_v */ + return vecRH.x * float3(tangent_u.x, -tangent_v.x, state::normal().x) + + vecRH.y * float3(tangent_u.y, -tangent_v.y, state::normal().y) + + vecRH.z * float3(tangent_u.z, -tangent_v.z, state::normal().z); +} + +export float4 unpack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Unpack a normal stored in a normal map"), + anno::noinline() +]] +{ + float2 normal_xy = float2(texture_sample.x, texture_sample.y); + + normal_xy = normal_xy * float2(2.0,2.0) - float2(1.0,1.0); + float normal_z = math::sqrt( math::saturate( 1.0 - math::dot( normal_xy, normal_xy ) ) ); + return float4( normal_xy.x, normal_xy.y, normal_z, 1.0 ); +} + +// for get color value from normal. +export float4 pack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Pack to color from a normal") +]] +{ + float2 return_xy = float2(texture_sample.x, texture_sample.y); + + return_xy = (return_xy + float2(1.0,1.0)) / float2(2.0,2.0); + + return float4( return_xy.x, return_xy.y, 0.0, 1.0 ); +} + +export float4 greyscale_texture_lookup( + float4 texture_sample = float4(0.0, 0.0, 0.0, 1.0) + ) +[[ + anno::description("Sampling a greyscale texture"), + anno::noinline() +]] +{ + return float4(texture_sample.x, texture_sample.x, texture_sample.x, texture_sample.x); +} + +export float3 pixel_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Pixel normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 vertex_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Vertex normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 landscape_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Landscape normal in world space") +]] +{ + float3 normalFromNormalmap = math::floor((::vertex_normal_world_space(up_z) * 0.5 + 0.5) * 255.0) / 255.0 * 2.0 - 1.0; + + float2 normalXY = float2(normalFromNormalmap.x, normalFromNormalmap.y); + return float3(normalXY.x, normalXY.y, math::sqrt(math::saturate(1.0 - math::dot(normalXY, normalXY)))); +} + +// Different implementation specific between mdl and hlsl for smoothstep +export float smoothstep(float a, float b, float l) +{ + if (a < b) + { + return math::smoothstep(a, b, l); + } + else if (a > b) + { + return 1.0 - math::smoothstep(b, a, l); + } + else + { + return l <= a ? 0.0 : 1.0; + } +} + +export float2 smoothstep(float2 a, float2 b, float2 l) +{ + return float2(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y)); +} + +export float3 smoothstep(float3 a, float3 b, float3 l) +{ + return float3(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z)); +} + +export float4 smoothstep(float4 a, float4 b, float4 l) +{ + return float4(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z), smoothstep(a.w, b.w, l.w)); +} + +export float2 smoothstep(float2 a, float2 b, float l) +{ + return float2(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l)); +} + +export float3 smoothstep(float3 a, float3 b, float l) +{ + return float3(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l)); +} + +export float4 smoothstep(float4 a, float4 b, float l) +{ + return float4(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l), smoothstep(a.w, b.w, l)); +} + +export float2 smoothstep(float a, float b, float2 l) +{ + return float2(smoothstep(a, b, l.x), smoothstep(a, b, l.y)); +} + +export float3 smoothstep(float a, float b, float3 l) +{ + return float3(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z)); +} + +export float4 smoothstep(float a, float b, float4 l) +{ + return float4(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z), smoothstep(a, b, l.w)); +} + +//------------------ Random from UE4 ----------------------- +float length2(float3 v) +{ + return math::dot(v, v); +} + +float3 GetPerlinNoiseGradientTextureAt(uniform texture_2d PerlinNoiseGradientTexture, float3 v) +{ + const float2 ZShear = float2(17.0f, 89.0f); + + float2 OffsetA = v.z * ZShear; + float2 TexA = (float2(v.x, v.y) + OffsetA + 0.5f) / 128.0f; + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA.x,1.0-TexA.y),tex::wrap_repeat,tex::wrap_repeat); + return float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z) * 2.0 - 1.0; +} + +float3 SkewSimplex(float3 In) +{ + return In + math::dot(In, float3(1.0 / 3.0f) ); +} +float3 UnSkewSimplex(float3 In) +{ + return In - math::dot(In, float3(1.0 / 6.0f) ); +} + +// 3D random number generator inspired by PCGs (permuted congruential generator) +// Using a **simple** Feistel cipher in place of the usual xor shift permutation step +// @param v = 3D integer coordinate +// @return three elements w/ 16 random bits each (0-0xffff). +// ~8 ALU operations for result.x (7 mad, 1 >>) +// ~10 ALU operations for result.xy (8 mad, 2 >>) +// ~12 ALU operations for result.xyz (9 mad, 3 >>) + +//TODO: uint3 +int3 Rand3DPCG16(int3 p) +{ + // taking a signed int then reinterpreting as unsigned gives good behavior for negatives + //TODO: uint3 + int3 v = int3(p); + + // Linear congruential step. These LCG constants are from Numerical Recipies + // For additional #'s, PCG would do multiple LCG steps and scramble each on output + // So v here is the RNG state + v = v * 1664525 + 1013904223; + + // PCG uses xorshift for the final shuffle, but it is expensive (and cheap + // versions of xorshift have visible artifacts). Instead, use simple MAD Feistel steps + // + // Feistel ciphers divide the state into separate parts (usually by bits) + // then apply a series of permutation steps one part at a time. The permutations + // use a reversible operation (usually ^) to part being updated with the result of + // a permutation function on the other parts and the key. + // + // In this case, I'm using v.x, v.y and v.z as the parts, using + instead of ^ for + // the combination function, and just multiplying the other two parts (no key) for + // the permutation function. + // + // That gives a simple mad per round. + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + + // only top 16 bits are well shuffled + return v >> 16; +} + +// Wraps noise for tiling texture creation +// @param v = unwrapped texture parameter +// @param bTiling = true to tile, false to not tile +// @param RepeatSize = number of units before repeating +// @return either original or wrapped coord +float3 NoiseTileWrap(float3 v, bool bTiling, float RepeatSize) +{ + return bTiling ? (math::frac(v / RepeatSize) * RepeatSize) : v; +} + +// Evaluate polynomial to get smooth transitions for Perlin noise +// only needed by Perlin functions in this file +// scalar(per component): 2 add, 5 mul +float4 PerlinRamp(float4 t) +{ + return t * t * t * (t * (t * 6 - 15) + 10); +} + +// Blum-Blum-Shub-inspired pseudo random number generator +// http://www.umbc.edu/~olano/papers/mNoise.pdf +// real BBS uses ((s*s) mod M) with bignums and M as the product of two huge Blum primes +// instead, we use a single prime M just small enough not to overflow +// note that the above paper used 61, which fits in a half, but is unusably bad +// @param Integer valued floating point seed +// @return random number in range [0,1) +// ~8 ALU operations (5 *, 3 frac) +float RandBBSfloat(float seed) +{ + float BBS_PRIME24 = 4093.0; + float s = math::frac(seed / BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + return s; +} + +// Modified noise gradient term +// @param seed - random seed for integer lattice position +// @param offset - [-1,1] offset of evaluation point from lattice point +// @return gradient direction (xyz) and contribution (w) from this lattice point +float4 MGradient(int seed, float3 offset) +{ + //TODO uint + int rand = Rand3DPCG16(int3(seed,0,0)).x; + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1.0 / 0x4000, 1.0 / 0x2000, 1.0 / 0x1000); + float3 direction = float3(int3(rand, rand, rand) & MGradientMask) * MGradientScale - 1; + return float4(direction.x, direction.y, direction.z, math::dot(direction, offset)); +} + +// compute Perlin and related noise corner seed values +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = true to return seed values for a repeating noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @param seed000-seed111 = hash function seeds for the eight corners +// @return fractional part of v +struct SeedValue +{ + float3 fv = float3(0); + float seed000 = 0; + float seed001 = 0; + float seed010 = 0; + float seed011 = 0; + float seed100 = 0; + float seed101 = 0; + float seed110 = 0; + float seed111 = 0; +}; + +SeedValue NoiseSeeds(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds; + seeds.fv = math::frac(v); + float3 iv = math::floor(v); + + const float3 primes = float3(19, 47, 101); + + if (bTiling) + { // can't algebraically combine with primes + seeds.seed000 = math::dot(primes, NoiseTileWrap(iv, true, RepeatSize)); + seeds.seed100 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 0), true, RepeatSize)); + seeds.seed010 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 0), true, RepeatSize)); + seeds.seed110 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 0), true, RepeatSize)); + seeds.seed001 = math::dot(primes, NoiseTileWrap(iv + float3(0, 0, 1), true, RepeatSize)); + seeds.seed101 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 1), true, RepeatSize)); + seeds.seed011 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 1), true, RepeatSize)); + seeds.seed111 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 1), true, RepeatSize)); + } + else + { // get to combine offsets with multiplication by primes in this case + seeds.seed000 = math::dot(iv, primes); + seeds.seed100 = seeds.seed000 + primes.x; + seeds.seed010 = seeds.seed000 + primes.y; + seeds.seed110 = seeds.seed100 + primes.y; + seeds.seed001 = seeds.seed000 + primes.z; + seeds.seed101 = seeds.seed100 + primes.z; + seeds.seed011 = seeds.seed010 + primes.z; + seeds.seed111 = seeds.seed110 + primes.z; + } + + return seeds; +} + +struct SimplexWeights +{ + float4 Result = float4(0); + float3 PosA = float3(0); + float3 PosB = float3(0); + float3 PosC = float3(0); + float3 PosD = float3(0); +}; + +// Computed weights and sample positions for simplex interpolation +// @return float4(a,b,c, d) Barycentric coordinate defined as Filtered = Tex(PosA) * a + Tex(PosB) * b + Tex(PosC) * c + Tex(PosD) * d +SimplexWeights ComputeSimplexWeights3D(float3 OrthogonalPos) +{ + SimplexWeights weights; + float3 OrthogonalPosFloor = math::floor(OrthogonalPos); + + weights.PosA = OrthogonalPosFloor; + weights.PosB = weights.PosA + float3(1, 1, 1); + + OrthogonalPos -= OrthogonalPosFloor; + + float Largest = math::max(OrthogonalPos.x, math::max(OrthogonalPos.y, OrthogonalPos.z)); + float Smallest = math::min(OrthogonalPos.x, math::min(OrthogonalPos.y, OrthogonalPos.z)); + + weights.PosC = weights.PosA + float3(Largest == OrthogonalPos.x, Largest == OrthogonalPos.y, Largest == OrthogonalPos.z); + weights.PosD = weights.PosA + float3(Smallest != OrthogonalPos.x, Smallest != OrthogonalPos.y, Smallest != OrthogonalPos.z); + + float RG = OrthogonalPos.x - OrthogonalPos.y; + float RB = OrthogonalPos.x - OrthogonalPos.z; + float GB = OrthogonalPos.y - OrthogonalPos.z; + + weights.Result.z = + math::min(math::max(0, RG), math::max(0, RB)) // X + + math::min(math::max(0, -RG), math::max(0, GB)) // Y + + math::min(math::max(0, -RB), math::max(0, -GB)); // Z + + weights.Result.w = + math::min(math::max(0, -RG), math::max(0, -RB)) // X + + math::min(math::max(0, RG), math::max(0, -GB)) // Y + + math::min(math::max(0, RB), math::max(0, GB)); // Z + + weights.Result.y = Smallest; + weights.Result.x = 1.0f - weights.Result.y - weights.Result.z - weights.Result.w; + + return weights; +} + +// filtered 3D gradient simple noise (few texture lookups, high quality) +// @param v >0 +// @return random number in the range -1 .. 1 +float SimplexNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 EvalPos) +{ + float3 OrthogonalPos = SkewSimplex(EvalPos); + + SimplexWeights Weights = ComputeSimplexWeights3D(OrthogonalPos); + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 32 bit) + float3 A = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosA); + float3 B = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosB); + float3 C = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosC); + float3 D = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosD); + + Weights.PosA = UnSkewSimplex(Weights.PosA); + Weights.PosB = UnSkewSimplex(Weights.PosB); + Weights.PosC = UnSkewSimplex(Weights.PosC); + Weights.PosD = UnSkewSimplex(Weights.PosD); + + float DistanceWeight; + + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosA)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float a = math::dot(A, EvalPos - Weights.PosA) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosB)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float b = math::dot(B, EvalPos - Weights.PosB) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosC)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float c = math::dot(C, EvalPos - Weights.PosC) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosD)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float d = math::dot(D, EvalPos - Weights.PosD) * DistanceWeight; + + return 32 * (a + b + c + d); +} + +// filtered 3D noise, can be optimized +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 v, bool bTiling, float RepeatSize) +{ + bTiling = true; + float3 fv = math::frac(v); + float3 iv0 = NoiseTileWrap(math::floor(v), bTiling, RepeatSize); + float3 iv1 = NoiseTileWrap(iv0 + 1, bTiling, RepeatSize); + + const int2 ZShear = int2(17, 89); + + float2 OffsetA = iv0.z * ZShear; + float2 OffsetB = OffsetA + ZShear; // non-tiling, use relative offset + if (bTiling) // tiling, have to compute from wrapped coordinates + { + OffsetB = iv1.z * ZShear; + } + + // Texture size scale factor + float ts = 1 / 128.0f; + + // texture coordinates for iv0.xy, as offset for both z slices + float2 TexA0 = (float2(iv0.x, iv0.y) + OffsetA + 0.5f) * ts; + float2 TexB0 = (float2(iv0.x, iv0.y) + OffsetB + 0.5f) * ts; + + // texture coordinates for iv1.xy, as offset for both z slices + float2 TexA1 = TexA0 + ts; // for non-tiling, can compute relative to existing coordinates + float2 TexB1 = TexB0 + ts; + if (bTiling) // for tiling, need to compute from wrapped coordinates + { + TexA1 = (float2(iv1.x, iv1.y) + OffsetA + 0.5f) * ts; + TexB1 = (float2(iv1.x, iv1.y) + OffsetB + 0.5f) * ts; + } + + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 8, 16 or 32 bit) + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 A = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 B = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 C = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 D = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 E = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 F = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 G = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 H = PerlinNoiseColor * 2 - 1; + + float a = math::dot(A, fv - float3(0, 0, 0)); + float b = math::dot(B, fv - float3(1, 0, 0)); + float c = math::dot(C, fv - float3(0, 1, 0)); + float d = math::dot(D, fv - float3(1, 1, 0)); + float e = math::dot(E, fv - float3(0, 0, 1)); + float f = math::dot(F, fv - float3(1, 0, 1)); + float g = math::dot(G, fv - float3(0, 1, 1)); + float h = math::dot(H, fv - float3(1, 1, 1)); + + float4 Weights = PerlinRamp(math::frac(float4(fv.x, fv.y, fv.z, 0))); + + float i = math::lerp(math::lerp(a, b, Weights.x), math::lerp(c, d, Weights.x), Weights.y); + float j = math::lerp(math::lerp(e, f, Weights.x), math::lerp(g, h, Weights.x), Weights.y); + + return math::lerp(i, j, Weights.z); +} + +// @return random number in the range -1 .. 1 +// scalar: 6 frac, 31 mul/mad, 15 add, +float FastGradientPerlinNoise3D_TEX(uniform texture_3d PerlinNoise3DTexture, float3 xyz) +{ + // needs to be the same value when creating the PerlinNoise3D texture + float Extent = 16; + + // last texel replicated and needed for filtering + // scalar: 3 frac, 6 mul + xyz = math::frac(xyz / (Extent - 1)) * (Extent - 1); + + // scalar: 3 frac + float3 uvw = math::frac(xyz); + // = floor(xyz); + // scalar: 3 add + float3 p0 = xyz - uvw; +// float3 f = math::pow(uvw, 2) * 3.0f - math::pow(uvw, 3) * 2.0f; // original perlin hermite (ok when used without bump mapping) + // scalar: 2*3 add 5*3 mul + float4 pr = PerlinRamp(float4(uvw.x, uvw.y, uvw.z, 0)); + float3 f = float3(pr.x, pr.y, pr.z); // new, better with continues second derivative for bump mapping + // scalar: 3 add + float3 p = p0 + f; + // scalar: 3 mad + // TODO: need reverse??? + float4 NoiseSample = tex::lookup_float4(PerlinNoise3DTexture, p / Extent + 0.5f / Extent); // +0.5f to get rid of bilinear offset + + // reconstruct from 8bit (using mad with 2 constants and dot4 was same instruction count) + // scalar: 4 mad, 3 mul, 3 add + float3 n = float3(NoiseSample.x, NoiseSample.y, NoiseSample.z) * 255.0f / 127.0f - 1.0f; + float d = NoiseSample.w * 255.f - 127; + return math::dot(xyz, n) - d; +} + +// Perlin-style "Modified Noise" +// http://www.umbc.edu/~olano/papers/index.html#mNoise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = MGradient(int(seeds.seed000), seeds.fv - float3(0, 0, 0)).w; + float rand100 = MGradient(int(seeds.seed100), seeds.fv - float3(1, 0, 0)).w; + float rand010 = MGradient(int(seeds.seed010), seeds.fv - float3(0, 1, 0)).w; + float rand110 = MGradient(int(seeds.seed110), seeds.fv - float3(1, 1, 0)).w; + float rand001 = MGradient(int(seeds.seed001), seeds.fv - float3(0, 0, 1)).w; + float rand101 = MGradient(int(seeds.seed101), seeds.fv - float3(1, 0, 1)).w; + float rand011 = MGradient(int(seeds.seed011), seeds.fv - float3(0, 1, 1)).w; + float rand111 = MGradient(int(seeds.seed111), seeds.fv - float3(1, 1, 1)).w; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D value noise - used to be incorrectly called Perlin noise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float ValueNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = RandBBSfloat(seeds.seed000) * 2 - 1; + float rand100 = RandBBSfloat(seeds.seed100) * 2 - 1; + float rand010 = RandBBSfloat(seeds.seed010) * 2 - 1; + float rand110 = RandBBSfloat(seeds.seed110) * 2 - 1; + float rand001 = RandBBSfloat(seeds.seed001) * 2 - 1; + float rand101 = RandBBSfloat(seeds.seed101) * 2 - 1; + float rand011 = RandBBSfloat(seeds.seed011) * 2 - 1; + float rand111 = RandBBSfloat(seeds.seed111) * 2 - 1; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D jitter offset within a voronoi noise cell +// @param pos - integer lattice corner +// @return random offsets vector +float3 VoronoiCornerSample(float3 pos, int Quality) +{ + // random values in [-0.5, 0.5] + float3 noise = float3(Rand3DPCG16(int3(pos))) / 0xffff - 0.5; + + // quality level 1 or 2: searches a 2x2x2 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 2x2x2 search + if (Quality <= 2) + { + return math::normalize(noise) * 0.2588; + } + + // quality level 3: searches a 3x3x3 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 3x3x3 search + if (Quality == 3) + { + return math::normalize(noise) * 0.3090; + } + + // quality level 4: jitter to anywhere in the cell, needs 4x4x4 search + return noise; +} + +// compare previous best with a new candidate +// not producing point locations makes it easier for compiler to eliminate calculations when they're not needed +// @param minval = location and distance of best candidate seed point before the new one +// @param candidate = candidate seed point +// @param offset = 3D offset to new candidate seed point +// @param bDistanceOnly = if true, only set maxval.w with distance, otherwise maxval.w is distance and maxval.xyz is position +// @return position (if bDistanceOnly is false) and distance to closest seed point so far +float4 VoronoiCompare(float4 minval, float3 candidate, float3 offset, bool bDistanceOnly) +{ + if (bDistanceOnly) + { + return float4(0, 0, 0, math::min(minval.w, math::dot(offset, offset))); + } + else + { + float newdist = math::dot(offset, offset); + return newdist > minval.w ? minval : float4(candidate.x, candidate.y, candidate.z, newdist); + } +} + +// 220 instruction Worley noise +float4 VoronoiNoise3D_ALU(float3 v, int Quality, bool bTiling, float RepeatSize, bool bDistanceOnly) +{ + float3 fv = math::frac(v), fv2 = math::frac(v + 0.5); + float3 iv = math::floor(v), iv2 = math::floor(v + 0.5); + + // with initial minimum distance = infinity (or at least bigger than 4), first min is optimized away + float4 mindist = float4(0,0,0,100); + float3 p, offset; + + // quality level 3: do a 3x3x3 search + if (Quality == 3) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 1; ++offset_x) + { + for (offset_y = -1; offset_y <= 1; ++offset_y) + { + for (offset_z = -1; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + + // everybody else searches a base 2x2x2 neighborhood + else + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = 0; offset_x <= 1; ++offset_x) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // quality level 2, do extra set of points, offset by half a cell + if (Quality == 2) + { + // 467 is just an offset to a different area in the random number field to avoid similar neighbor artifacts + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize) + 467, Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + } + + // quality level 4: add extra sets of four cells in each direction + if (Quality >= 4) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 2; offset_x += 3) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + // along x axis + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along y axis + p = float3(offset.y, offset.z, offset.x) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.y, offset.z, offset.x), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along z axis + p = float3(offset.z, offset.x, offset.y) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.z, offset.x, offset.y), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + } + } + } + } + + // transform squared distance to real distance + return float4(mindist.x, mindist.y, mindist.z, math::sqrt(mindist.w)); +} + +// Coordinates for corners of a Simplex tetrahedron +// Based on McEwan et al., Efficient computation of noise in GLSL, JGT 2011 +// @param v = 3D noise argument +// @return 4 corner locations +float4x3 SimplexCorners(float3 v) +{ + // find base corner by skewing to tetrahedral space and back + float3 tet = math::floor(v + v.x/3 + v.y/3 + v.z/3); + float3 base = tet - tet.x/6 - tet.y/6 - tet.z/6; + float3 f = v - base; + + // Find offsets to other corners (McEwan did this in tetrahedral space, + // but since skew is along x=y=z axis, this works in Euclidean space too.) + float3 g = math::step(float3(f.y,f.z,f.x), float3(f.x,f.y,f.z)), h = 1 - float3(g.z, g.x, g.y); + float3 a1 = math::min(g, h) - 1.0 / 6.0, a2 = math::max(g, h) - 1.0 / 3.0; + + // four corners + return float4x3(base, base + a1, base + a2, base + 0.5); +} + +// Improved smoothing function for simplex noise +// @param f = fractional distance to four tetrahedral corners +// @return weight for each corner +float4 SimplexSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + return (1 * scale + s*(-3 * scale + s*(3 * scale - s*scale))); +} + +// Derivative of simplex noise smoothing function +// @param f = fractional distanc eto four tetrahedral corners +// @return derivative of smoothing function for each corner by x, y and z +float3x4 SimplexDSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + s = -12 * scale + s*(24 * scale - s * 12 * scale); + + return float3x4( + s * float4(f[0][0], f[1][0], f[2][0], f[3][0]), + s * float4(f[0][1], f[1][1], f[2][1], f[3][1]), + s * float4(f[0][2], f[1][2], f[2][2], f[3][2])); +} + +// Simplex noise and its Jacobian derivative +// @param v = 3D noise argument +// @param bTiling = whether to repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension, must be a multiple of 3 +// @return float3x3 Jacobian in J[*].xyz, vector noise in J[*].w +// J[0].w, J[1].w, J[2].w is a Perlin-style simplex noise with vector output, e.g. (Nx, Ny, Nz) +// J[i].x is X derivative of the i'th component of the noise so J[2].x is dNz/dx +// You can use this to compute the noise, gradient, curl, or divergence: +// float3x4 J = JacobianSimplex_ALU(...); +// float3 VNoise = float3(J[0].w, J[1].w, J[2].w); // 3D noise +// float3 Grad = J[0].xyz; // gradient of J[0].w +// float3 Curl = float3(J[1][2]-J[2][1], J[2][0]-J[0][2], J[0][1]-J[1][2]); +// float Div = J[0][0]+J[1][1]+J[2][2]; +// All of these are confirmed to compile out all unneeded terms. +// So Grad of X doesn't compute Y or Z components, and VNoise doesn't do any of the derivative computation. +float3x4 JacobianSimplex_ALU(float3 v, bool bTiling, float RepeatSize) +{ + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1. / 0x4000, 1. / 0x2000, 1. / 0x1000); + + // corners of tetrahedron + float4x3 T = SimplexCorners(v); + // TODO: uint3 + int3 rand = int3(0); + float4x3 gvec0 = float4x3(1.0); + float4x3 gvec1 = float4x3(1.0); + float4x3 gvec2 = float4x3(1.0); + float4x3 fv = float4x3(1.0); + float3x4 grad = float3x4(1.0); + + // processing of tetrahedral vertices, unrolled + // to compute gradient at each corner + fv[0] = v - T[0]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[0] + 0.5, bTiling, RepeatSize)))); + gvec0[0] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[0] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[0] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][0] = math::dot(gvec0[0], fv[0]); + grad[1][0] = math::dot(gvec1[0], fv[0]); + grad[2][0] = math::dot(gvec2[0], fv[0]); + + fv[1] = v - T[1]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[1] + 0.5, bTiling, RepeatSize)))); + gvec0[1] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][1] = math::dot(gvec0[1], fv[1]); + grad[1][1] = math::dot(gvec1[1], fv[1]); + grad[2][1] = math::dot(gvec2[1], fv[1]); + + fv[2] = v - T[2]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[2] + 0.5, bTiling, RepeatSize)))); + gvec0[2] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[2] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[2] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][2] = math::dot(gvec0[2], fv[2]); + grad[1][2] = math::dot(gvec1[2], fv[2]); + grad[2][2] = math::dot(gvec2[2], fv[2]); + + fv[3] = v - T[3]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[3] + 0.5, bTiling, RepeatSize)))); + gvec0[3] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[3] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[3] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][3] = math::dot(gvec0[3], fv[3]); + grad[1][3] = math::dot(gvec1[3], fv[3]); + grad[2][3] = math::dot(gvec2[3], fv[3]); + + // blend gradients + float4 sv = SimplexSmooth(fv); + float3x4 ds = SimplexDSmooth(fv); + + float3x4 jacobian = float3x4(1.0); + float3 vec0 = gvec0*sv + grad[0]*ds; // NOTE: mdl is column major, convert from UE4 (row major) + jacobian[0] = float4(vec0.x, vec0.y, vec0.z, math::dot(sv, grad[0])); + float3 vec1 = gvec1*sv + grad[1]*ds; + jacobian[1] = float4(vec1.x, vec1.y, vec1.z, math::dot(sv, grad[1])); + float3 vec2 = gvec2*sv + grad[2]*ds; + jacobian[2] = float4(vec2.x, vec2.y, vec2.z, math::dot(sv, grad[2])); + + return jacobian; +} + +// While RepeatSize is a float here, the expectation is that it would be largely integer values coming in from the UI. The downstream logic assumes +// floats for all called functions (NoiseTileWrap) and this prevents any float-to-int conversion errors from automatic type conversion. +float Noise3D_Multiplexer(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, int Function, float3 Position, int Quality, bool bTiling, float RepeatSize) +{ + // verified, HLSL compiled out the switch if Function is a constant + switch(Function) + { + case 0: + return SimplexNoise3D_TEX(PerlinNoiseGradientTexture, Position); + case 1: + return GradientNoise3D_TEX(PerlinNoiseGradientTexture, Position, bTiling, RepeatSize); + case 2: + return FastGradientPerlinNoise3D_TEX(PerlinNoise3DTexture, Position); + case 3: + return GradientNoise3D_ALU(Position, bTiling, RepeatSize); + case 4: + return ValueNoise3D_ALU(Position, bTiling, RepeatSize); + case 5: + return VoronoiNoise3D_ALU(Position, Quality, bTiling, RepeatSize, true).w * 2.0 - 1.0; + } + return 0; +} +//---------------------------------------------------------- + +export float noise(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, float3 Position, float Scale, float Quality, float Function, float Turbulence, float Levels, float OutputMin, float OutputMax, float LevelScale, float FilterWidth, float Tiling, float RepeatSize) +[[ + anno::description("Noise"), + anno::noinline() +]] +{ + Position *= Scale; + FilterWidth *= Scale; + + float Out = 0.0f; + float OutScale = 1.0f; + float InvLevelScale = 1.0f / LevelScale; + + int iFunction(Function); + int iQuality(Quality); + int iLevels(Levels); + bool bTurbulence(Turbulence); + bool bTiling(Tiling); + + for(int i = 0; i < iLevels; ++i) + { + // fade out noise level that are too high frequent (not done through dynamic branching as it usually requires gradient instructions) + OutScale *= math::saturate(1.0 - FilterWidth); + + if(bTurbulence) + { + Out += math::abs(Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize)) * OutScale; + } + else + { + Out += Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize) * OutScale; + } + + Position *= LevelScale; + RepeatSize *= LevelScale; + OutScale *= InvLevelScale; + FilterWidth *= LevelScale; + } + + if(!bTurbulence) + { + // bring -1..1 to 0..1 range + Out = Out * 0.5f + 0.5f; + } + + // Out is in 0..1 range + return math::lerp(OutputMin, OutputMax, Out); +} + +// Material node for noise functions returning a vector value +// @param LevelScale usually 2 but higher values allow efficient use of few levels +// @return in user defined range (OutputMin..OutputMax) +export float4 vector4_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise"), + anno::noinline() +]] +{ + float4 result = float4(0,0,0,1); + float3 ret = float3(0); + int iQuality = int(Quality); + int iFunction = int(Function); + bool bTiling = Tiling > 0.0; + + float3x4 Jacobian = JacobianSimplex_ALU(Position, bTiling, TileSize); // compiled out if not used + + // verified, HLSL compiled out the switch if Function is a constant + switch (iFunction) + { + case 0: // Cellnoise + ret = float3(Rand3DPCG16(int3(math::floor(NoiseTileWrap(Position, bTiling, TileSize))))) / 0xffff; + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 1: // Color noise + ret = float3(Jacobian[0].w, Jacobian[1].w, Jacobian[2].w); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 2: // Gradient + result = Jacobian[0]; + break; + case 3: // Curl + ret = float3(Jacobian[2][1] - Jacobian[1][2], Jacobian[0][2] - Jacobian[2][0], Jacobian[1][0] - Jacobian[0][1]); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 4: // Voronoi + result = VoronoiNoise3D_ALU(Position, iQuality, bTiling, TileSize, false); + break; + } + return result; +} + +export float3 vector3_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise float3 version"), + anno::noinline() +]] +{ + float4 noise = vector4_noise(Position, Quality, Function, Tiling, TileSize); + return float3(noise.x, noise.y, noise.z); +} + + +// workaround for ue4 fresnel (without supporting for camera vector) : replacing it with 0.0, means facing to the view +export float fresnel(float exponent [[anno::unused()]], float base_reflect_fraction [[anno::unused()]], float3 normal [[anno::unused()]]) +[[ + anno::description("Fresnel"), + anno::noinline() +]] +{ + return 0.0; +} + +export float fresnel_function(float3 normal_vector [[anno::unused()]], float3 camera_vector [[anno::unused()]], + bool invert_fresnel [[anno::unused()]], float power [[anno::unused()]], + bool use_cheap_contrast [[anno::unused()]], float cheap_contrast_dark [[anno::unused()]], float cheap_contrast_bright [[anno::unused()]], + bool clamp_fresnel_dot_product [[anno::unused()]]) +[[ + anno::description("Fresnel Function"), + anno::noinline() +]] +{ + return 0.0; +} + +export float3 camera_vector(uniform bool up_z = true) +[[ + anno::description("Camera Vector"), + anno::noinline() +]] +{ + // assume camera postion is 0,0,0 + return math::normalize(float3(0) - convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)); +} + +export float pixel_depth() +[[ + anno::description("Pixel Depth"), + anno::noinline() +]] +{ + return 256.0f; +} + +export float scene_depth() +[[ + anno::description("Scene Depth") +]] +{ + return 65500.0f; +} + +export float3 scene_color() +[[ + anno::description("Scene Color") +]] +{ + return float3(1.0f); +} + +export float4 vertex_color() +[[ + anno::description("Vertex Color"), + anno::noinline() +]] +{ + return float4(1.0f); +} + +export float4 vertex_color_from_coordinate(int VertexColorCoordinateIndex) +[[ + anno::description("Vertex Color for float2 PrimVar"), + anno::noinline() +]] +{ + // Kit only supports 4 uv sets, 2 uvs are available to vertex color. if vertex color index is invalid, output the constant WHITE color intead + return (VertexColorCoordinateIndex > 2) ? float4(1.0f) : float4(state::texture_coordinate(VertexColorCoordinateIndex).x, state::texture_coordinate(VertexColorCoordinateIndex).y, state::texture_coordinate(VertexColorCoordinateIndex+1).x, state::texture_coordinate(VertexColorCoordinateIndex+1).y); +} + +export float3 camera_position() +[[ + anno::description("Camera Position"), + anno::noinline() +]] +{ + return float3(1000.0f, 0, 0); +} + +export float3 rotate_about_axis(float4 NormalizedRotationAxisAndAngle, float3 PositionOnAxis, float3 Position) +[[ + anno::description("Rotates Position about the given axis by the given angle") +]] +{ + // Project Position onto the rotation axis and find the closest point on the axis to Position + float3 NormalizedRotationAxis = float3(NormalizedRotationAxisAndAngle.x,NormalizedRotationAxisAndAngle.y,NormalizedRotationAxisAndAngle.z); + float3 ClosestPointOnAxis = PositionOnAxis + NormalizedRotationAxis * math::dot(NormalizedRotationAxis, Position - PositionOnAxis); + // Construct orthogonal axes in the plane of the rotation + float3 UAxis = Position - ClosestPointOnAxis; + float3 VAxis = math::cross(NormalizedRotationAxis, UAxis); + float[2] SinCosAngle = math::sincos(NormalizedRotationAxisAndAngle.w); + // Rotate using the orthogonal axes + float3 R = UAxis * SinCosAngle[1] + VAxis * SinCosAngle[0]; + // Reconstruct the rotated world space position + float3 RotatedPosition = ClosestPointOnAxis + R; + // Convert from position to a position offset + return RotatedPosition - Position; +} + +export float2 rotate_scale_offset_texcoords(float2 InTexCoords, float4 InRotationScale, float2 InOffset) +[[ + anno::description("Returns a float2 texture coordinate after 2x2 transform and offset applied") +]] +{ + return float2(math::dot(InTexCoords, float2(InRotationScale.x, InRotationScale.y)), math::dot(InTexCoords, float2(InRotationScale.z, InRotationScale.w))) + InOffset; +} + +export float3 reflection_custom_world_normal(float3 WorldNormal, bool bNormalizeInputNormal, uniform bool up_z = true) +[[ + anno::description("Reflection vector about the specified world space normal") +]] +{ + if (bNormalizeInputNormal) + { + WorldNormal = math::normalize(WorldNormal); + } + + return -camera_vector(up_z) + WorldNormal * math::dot(WorldNormal, camera_vector(up_z)) * 2.0; +} + +export float3 reflection_vector(uniform bool up_z = true) +[[ + anno::description("Reflection Vector"), + anno::noinline() +]] +{ + float3 normal = convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); + return reflection_custom_world_normal(normal, false, up_z); +} + +export float dither_temporalAA(float AlphaThreshold = 0.5f, float Random = 1.0f [[anno::unused()]]) +[[ + anno::description("Dither TemporalAA"), + anno::noinline() +]] +{ + return AlphaThreshold; +} + +export float3 black_body( float Temp ) +[[ + anno::description("Black Body"), + anno::noinline() +]] +{ + float u = ( 0.860117757f + 1.54118254e-4f * Temp + 1.28641212e-7f * Temp*Temp ) / ( 1.0f + 8.42420235e-4f * Temp + 7.08145163e-7f * Temp*Temp ); + float v = ( 0.317398726f + 4.22806245e-5f * Temp + 4.20481691e-8f * Temp*Temp ) / ( 1.0f - 2.89741816e-5f * Temp + 1.61456053e-7f * Temp*Temp ); + + float x = 3*u / ( 2*u - 8*v + 4 ); + float y = 2*v / ( 2*u - 8*v + 4 ); + float z = 1 - x - y; + + float Y = 1; + float X = Y/y * x; + float Z = Y/y * z; + + float3x3 XYZtoRGB = float3x3( + float3(3.2404542, -1.5371385, -0.4985314), + float3(-0.9692660, 1.8760108, 0.0415560), + float3(0.0556434, -0.2040259, 1.0572252) + ); + + return XYZtoRGB * float3( X, Y, Z ) * math::pow( 0.0004 * Temp, 4 ); +} + +export float per_instance_random(uniform texture_2d PerlinNoiseGradientTexture, int NumberInstances) +[[ + anno::description("Per Instance Random"), + anno::noinline() +]] +{ + float weight = state::object_id() / float(NumberInstances); + return NumberInstances == 0 ? 0.0 : tex::lookup_float4(PerlinNoiseGradientTexture, float2(weight, 1.0 - weight), tex::wrap_repeat, tex::wrap_repeat).x; +} + +//------------------ Hair from UE4 ----------------------- +float3 hair_absorption_to_color(float3 A) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::exp(-math::sqrt(A) * D); +} + +float3 hair_color_to_absorption(float3 C) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::pow(math::log(C) / D, 2.0f); +} + +export float3 get_hair_color_from_melanin(float InMelanin, float InRedness, float3 InDyeColor) +[[ + anno::description("Hair Color") +]] +{ + InMelanin = math::saturate(InMelanin); + InRedness = math::saturate(InRedness); + float Melanin = -math::log(math::max(1 - InMelanin, 0.0001f)); + float Eumelanin = Melanin * (1 - InRedness); + float Pheomelanin = Melanin * InRedness; + + float3 DyeAbsorption = hair_color_to_absorption(math::saturate(InDyeColor)); + float3 Absorption = Eumelanin * float3(0.506f, 0.841f, 1.653f) + Pheomelanin * float3(0.343f, 0.733f, 1.924f); + + return hair_absorption_to_color(Absorption + DyeAbsorption); +} + +export float3 local_object_bounds_min() +[[ + anno::description("Local Object Bounds Min"), + anno::noinline() +]] +{ + return float3(0.0); +} + +export float3 local_object_bounds_max() +[[ + anno::description("Local Object Bounds Max"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float3 object_bounds() +[[ + anno::description("Object Bounds"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float object_radius() +[[ + anno::description("Object Radius"), + anno::noinline() +]] +{ + return 100.0f; +} + +export float3 object_world_position(uniform bool up_z = true) +[[ + anno::description("Object World Position"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)*state::meters_per_scene_unit()*100.0; +} + +export float3 object_orientation() +[[ + anno::description("Object Orientation"), + anno::noinline() +]] +{ + return float3(0); +} + +export float rcp(float x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float2 rcp(float2 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float3 rcp(float3 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float4 rcp(float4 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export int BitFieldExtractI32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractI32 int"), + anno::noinline() +]] +{ + Size &= 3; + Offset &= 3; + + if (Size == 0) + return 0; + else if (Offset + Size < 32) + return (Data << (32 - Size - Offset)) >> (32 - Size); + else + return Data >> Offset; +} + +export int BitFieldExtractI32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractI32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(int(Data), int(Size), int(Offset)); +} + +export int BitFieldExtractU32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractU32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export int BitFieldExtractU32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractU32 int"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export float3 EyeAdaptationInverseLookup(float3 LightValue, float Alpha) +[[ + anno::description("EyeAdaptationInverseLookup"), + anno::noinline() +]] +{ + float Adaptation = 1.0f; + + // When Alpha=0.0, we want to multiply by 1.0. when Alpha = 1.0, we want to multiply by 1/Adaptation. + // So the lerped value is: + // LerpLogScale = Lerp(log(1),log(1/Adaptaiton),T) + // Which is simplified as: + // LerpLogScale = Lerp(0,-log(Adaptation),T) + // LerpLogScale = -T * logAdaptation; + + float LerpLogScale = -Alpha * math::log(Adaptation); + float Scale = math::exp(LerpLogScale); + return LightValue * Scale; +} diff --git a/Shelf/BP_StandardShelf4/Materials/Textures/DefaultDiffuse.png b/Shelf/BP_StandardShelf4/Materials/Textures/DefaultDiffuse.png new file mode 100644 index 0000000000000000000000000000000000000000..bd1d23e7e3f469dc8a3ba685ddd76d8d37810a22 --- /dev/null +++ b/Shelf/BP_StandardShelf4/Materials/Textures/DefaultDiffuse.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:2ee4a01a1731ecf55df4086f81d4be55d41d251522508fbd7da51b08cd4ac38c +size 2032125 diff --git a/Shelf/BP_StandardShelf4/Materials/Textures/DefaultDiffuse_TC_Masks.png b/Shelf/BP_StandardShelf4/Materials/Textures/DefaultDiffuse_TC_Masks.png new file mode 100644 index 0000000000000000000000000000000000000000..417034afc6dfdb99e438b8233b1d4771dc50f191 --- /dev/null +++ b/Shelf/BP_StandardShelf4/Materials/Textures/DefaultDiffuse_TC_Masks.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:7108b02a4b377505ead59ea36f424f2c9769b9bbe0361a7b462f037e33effdf8 +size 760 diff --git a/Shelf/BP_StandardShelf4/Materials/Textures/DefaultNormal.png b/Shelf/BP_StandardShelf4/Materials/Textures/DefaultNormal.png new file mode 100644 index 0000000000000000000000000000000000000000..4766222ff2b9fd2f84566e64c2a3c709d27c6b4b --- /dev/null +++ b/Shelf/BP_StandardShelf4/Materials/Textures/DefaultNormal.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:b5c0e3a8cc3bc960467544a14b9d0b881c833b30316a67863cc5a42e5d3225df +size 2125916 diff --git a/Shelf/BP_StandardShelf4/Materials/Textures/T_Shelf_01_Albedo.png b/Shelf/BP_StandardShelf4/Materials/Textures/T_Shelf_01_Albedo.png new file mode 100644 index 0000000000000000000000000000000000000000..bd8d65622048dc2004af8d2a74c8e20f5a624f4c --- /dev/null +++ b/Shelf/BP_StandardShelf4/Materials/Textures/T_Shelf_01_Albedo.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:4ac1bc8d7f4550827e4876d19c383a13e83b2eca7780dbb2a82ce59f60beea2e +size 1901941 diff --git a/Shelf/BP_StandardShelf4/Materials/Textures/T_Shelf_01_Masks.png b/Shelf/BP_StandardShelf4/Materials/Textures/T_Shelf_01_Masks.png new file mode 100644 index 0000000000000000000000000000000000000000..138c60df368d61822c83281ae9798861f3368e80 --- /dev/null +++ b/Shelf/BP_StandardShelf4/Materials/Textures/T_Shelf_01_Masks.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:c07ce9479279972e501a097c235d2e6e48584fbfec7aedcf7a081dc5d8fc4021 +size 5881866 diff --git a/Shelf/BP_StandardShelf4/Materials/Textures/T_Shelf_01_Normal.png b/Shelf/BP_StandardShelf4/Materials/Textures/T_Shelf_01_Normal.png new file mode 100644 index 0000000000000000000000000000000000000000..2bb9f91c665b64659f832bb3849eafadb2376aec --- /dev/null +++ b/Shelf/BP_StandardShelf4/Materials/Textures/T_Shelf_01_Normal.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:3e09084a582a2d28c167447575f0b4a3769b89ca2f67fc4baad9b316db87fbe8 +size 2748850 diff --git a/Shelf/BP_StandardShelf4/Props/BackPlate.usd b/Shelf/BP_StandardShelf4/Props/BackPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..33a5003498a5add9e0b746ae91a7297b864b9c73 Binary files /dev/null and b/Shelf/BP_StandardShelf4/Props/BackPlate.usd differ diff --git a/Shelf/BP_StandardShelf4/Props/BasePlate.usd b/Shelf/BP_StandardShelf4/Props/BasePlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..cfe8ed2f65c8187a394295fd3180960eebab67be Binary files /dev/null and b/Shelf/BP_StandardShelf4/Props/BasePlate.usd differ diff --git a/Shelf/BP_StandardShelf4/Props/HorizontalPlate.usd b/Shelf/BP_StandardShelf4/Props/HorizontalPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..ce2a741f1846cfa712347c06063b3ceed90f9504 Binary files /dev/null and b/Shelf/BP_StandardShelf4/Props/HorizontalPlate.usd differ diff --git a/Shelf/BP_StandardShelf4/instance.usd b/Shelf/BP_StandardShelf4/instance.usd new file mode 100644 index 0000000000000000000000000000000000000000..184d85c31cb6d016eee76e3de4eabb02446dd779 Binary files /dev/null and b/Shelf/BP_StandardShelf4/instance.usd differ diff --git a/Shelf/BP_StandardShelf7/Materials/MI_Shelf_03a.mdl b/Shelf/BP_StandardShelf7/Materials/MI_Shelf_03a.mdl new file mode 100644 index 0000000000000000000000000000000000000000..34fe4d1676a937b0bf37c4eaa246f05de02b2886 --- /dev/null +++ b/Shelf/BP_StandardShelf7/Materials/MI_Shelf_03a.mdl @@ -0,0 +1,107 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material MI_Shelf_03a( + float TwoSidedSign = 1.0 + [[ + anno::hidden() + ]], + float TextureCoord = 1.0 + [[ + anno::display_name("Texture Coord"), + anno::ui_order(32), + anno::in_group("1.Textures") + ]], + uniform texture_2d Normal = texture_2d("./Textures/TX_Fill_01a_NRM.png",::tex::gamma_linear) + [[ + anno::display_name("Normal"), + anno::ui_order(32), + anno::in_group("1.Textures"), + sampler_normal() + ]], + float NormalIntensity = 1.0 + [[ + anno::display_name("Normal Intensity"), + anno::ui_order(32), + anno::in_group("Normal") + ]], + uniform texture_2d Albedo = texture_2d("./Textures/TX_Fill_01a_ALB.png",::tex::gamma_srgb) + [[ + anno::display_name("Albedo "), + anno::ui_order(32), + anno::in_group("1.Textures"), + sampler_color() + ]], + float4 AlbedoColorTint = float4(1.0,1.0,1.0,1.0) + [[ + anno::display_name("Albedo Color Tint"), + anno::ui_order(32), + anno::in_group("Albedo") + ]], + uniform texture_2d RMA = texture_2d("./Textures/TX_Fill_01a_RMA.png",::tex::gamma_linear) + [[ + anno::display_name("RMA"), + anno::description("R = Roughness | G = Metalness | B = Ambient Occlusion | A = Other "), + anno::ui_order(32), + anno::in_group("1.Textures"), + sampler_masks() + ]], + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + float2 Local0 = (CustomizedUV0_mdl * TextureCoord); + float4 Local1 = ::unpack_normal_map(tex::lookup_float4(Normal,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat)); + float3 Local2 = (TwoSidedSign * float3(Local1.x,Local1.y,Local1.z)); + float Local3 = (1.0 - NormalIntensity); + float3 Local4 = math::lerp(Local2,float3(0.0,0.0,1.0),Local3); + + float3 Normal_mdl = Local4; + + float4 Local5 = tex::lookup_float4(Albedo,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 Local6 = (float3(Local5.x,Local5.y,Local5.z) * float3(AlbedoColorTint.x,AlbedoColorTint.y,AlbedoColorTint.z)); + float4 Local7 = tex::lookup_float4(RMA,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat); + float Local8 = (Local7.z * 0.5); + float Local9 = math::min(math::max(Local7.x,0.0),1.0); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float OpacityMask_mdl = 1.0; + float3 BaseColor_mdl = Local6; + float Metallic_mdl = Local7.y; + float Specular_mdl = Local8; + float Roughness_mdl = Local9; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_StandardShelf7/Materials/OmniUe4Base.mdl b/Shelf/BP_StandardShelf7/Materials/OmniUe4Base.mdl new file mode 100644 index 0000000000000000000000000000000000000000..a441fbaf28040302c7aaabfbcf14b24a85bdf643 --- /dev/null +++ b/Shelf/BP_StandardShelf7/Materials/OmniUe4Base.mdl @@ -0,0 +1,224 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.0 - first version +//* 1.0.1 - merge unlit template +//* 1.0.2 - Fix EDF in the back side: the EDF contained in surface is only used for the front side and not for the back side +//* 1.0.3 - UE4 normal mapping: Geometry normal shouldn't be changed +//* 1.0.4 - using absolute import paths when importing standard modules + +mdl 1.3; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + +float emissive_multiplier() +[[ + anno::description("the multiplier to convert UE4 emissive to raw data"), + anno::noinline() +]] +{ + return 20.0f * 128.0f; +} + +float3 tangent_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in tangent space"), + anno::noinline() +]] +{ + return math::normalize( + tangent_u * normal.x - /* flip_tangent_v */ + tangent_v * normal.y + + state::normal() * (normal.z)); +} + +float3 world_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in world space"), + anno::noinline() +]] +{ + return tangent_space_normal( + math::normalize( + normal.x * float3(tangent_u.x, tangent_v.x, state::normal().x) - + normal.y * float3(tangent_u.y, tangent_v.y, state::normal().y) + + normal.z * float3(tangent_u.z, tangent_v.z, state::normal().z)), + tangent_u, + tangent_v + ); +} + +export material OmniUe4Base( + float3 base_color = float3(0.0, 0.0, 0.0), + float metallic = 0.0, + float roughness = 0.5, + float specular = 0.5, + float3 normal = float3(0.0,0.0,1.0), + float clearcoat_weight = 0.0, + float clearcoat_roughness = 0.0, + float3 clearcoat_normal = float3(0.0,0.0,1.0), + uniform bool enable_opacity = true, + float opacity = 1.0, + float3 emissive_color = float3(0.0, 0.0, 0.0), + float3 displacement = float3(0.0), + uniform bool is_tangent_space_normal = true, + uniform bool two_sided = false, + uniform bool is_unlit = false +) +[[ + anno::display_name("Omni UE4 Base"), + anno::description("Omni UE4 Base, supports UE4 default lit and clearcoat shading model"), + anno::version( 1, 0, 0), + anno::author("NVIDIA CORPORATION"), + anno::key_words(string[]("omni", "UE4", "omniverse", "lit", "clearcoat", "generic")) +]] + = let { + color final_base_color = math::saturate(base_color); + float final_metallic = math::saturate(metallic); + float final_roughness = math::saturate(roughness); + float final_specular = math::saturate(specular); + color final_emissive_color = math::max(emissive_color, 0.0f) * emissive_multiplier(); /*factor for converting ue4 emissive to raw value*/ + float final_clearcoat_weight = math::saturate(clearcoat_weight); + float final_clearcoat_roughness = math::saturate(clearcoat_roughness); + float3 final_normal = math::normalize(normal); + float3 final_clearcoat_normal = math::normalize(clearcoat_normal); + + // - compute final roughness by squaring the "roughness" parameter + float alpha = final_roughness * final_roughness; + // reduce the reflectivity at grazing angles to avoid "dark edges" for high roughness due to the layering + float grazing_refl = math::max((1.0 - final_roughness), 0.0); + + float3 the_normal = is_unlit ? state::normal() : + (is_tangent_space_normal ? + tangent_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + )); + + // for the dielectric component we layer the glossy component on top of the diffuse one, + // the glossy layer has no color tint + + bsdf dielectric_component = df::custom_curve_layer( + weight: final_specular, + normal_reflectivity: 0.08, + grazing_reflectivity: grazing_refl, + layer: df::microfacet_ggx_smith_bsdf(roughness_u: alpha), + base: df::diffuse_reflection_bsdf(tint: final_base_color), + normal: the_normal); + + // the metallic component doesn't have a diffuse component, it's only glossy + // base_color is applied to tint it + bsdf metallic_component = df::microfacet_ggx_smith_bsdf(tint: final_base_color, roughness_u: alpha); + + // final BSDF is a linear blend between dielectric and metallic component + bsdf dielectric_metal_mix = + df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: metallic_component, + weight: final_metallic), + df::bsdf_component( + component: dielectric_component, + weight: 1.0-final_metallic) + ) + ); + + // clearcoat layer + float clearcoat_grazing_refl = math::max((1.0 - final_clearcoat_roughness), 0.0); + float clearcoat_alpha = final_clearcoat_roughness * final_clearcoat_roughness; + + float3 the_clearcoat_normal = is_tangent_space_normal ? tangent_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ); + + + bsdf clearcoat = + df::custom_curve_layer( + base: df::weighted_layer( + layer: dielectric_metal_mix, + weight: 1.0, + normal: final_clearcoat_weight == 0.0 ? state::normal() : the_normal + ), + layer: df::microfacet_ggx_smith_bsdf( + roughness_u: clearcoat_alpha, + tint: color(1.0) + ), + normal_reflectivity: 0.04, + grazing_reflectivity: clearcoat_grazing_refl, + normal: the_clearcoat_normal, + weight: final_clearcoat_weight + ); + bsdf surface = is_unlit ? bsdf() : clearcoat; +} +in material( + thin_walled: two_sided, // Graphene? + surface: material_surface( + scattering: surface, + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + backface: material_surface( + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + geometry: material_geometry( + displacement: displacement, + normal: final_clearcoat_weight == 0.0 ? the_normal : state::normal(), + cutout_opacity: enable_opacity ? opacity : 1.0 + ) +); diff --git a/Shelf/BP_StandardShelf7/Materials/OmniUe4Function.mdl b/Shelf/BP_StandardShelf7/Materials/OmniUe4Function.mdl new file mode 100644 index 0000000000000000000000000000000000000000..84f4f0da48ff31d03ee611373fe3a4d2e04c9079 --- /dev/null +++ b/Shelf/BP_StandardShelf7/Materials/OmniUe4Function.mdl @@ -0,0 +1,1413 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.1 - using absolute import paths when importing standard modules + +mdl 1.6; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + + +export float3 convert_to_left_hand(float3 vec3, uniform bool up_z = true, uniform bool is_position = true) +[[ + anno::description("convert from RH to LH"), + anno::noinline() +]] +{ + float4x4 ZupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, -1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4x4 YupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4 vec4 = float4(vec3.x, vec3.y, vec3.z, is_position ? 1.0f : 0.0f); + + vec4 = vec4 * (up_z ? ZupConversion : YupConversion); + + return float3(vec4.x, vec4.y, vec4.z); +} + +export float3 transform_vector_from_tangent_to_world(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from tangent space to world space"), + anno::noinline() +]] +{ + /* flip_tangent_v */ + return convert_to_left_hand( + tangent_u * vector.x - tangent_v * vector.y + state::normal() * vector.z, + up_z, false); +} + +export float3 transform_vector_from_world_to_tangent(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from world space to tangent space"), + anno::noinline() +]] +{ + float3 vecRH = convert_to_left_hand(vector, up_z, false); + /* flip_tangent_v */ + return vecRH.x * float3(tangent_u.x, -tangent_v.x, state::normal().x) + + vecRH.y * float3(tangent_u.y, -tangent_v.y, state::normal().y) + + vecRH.z * float3(tangent_u.z, -tangent_v.z, state::normal().z); +} + +export float4 unpack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Unpack a normal stored in a normal map"), + anno::noinline() +]] +{ + float2 normal_xy = float2(texture_sample.x, texture_sample.y); + + normal_xy = normal_xy * float2(2.0,2.0) - float2(1.0,1.0); + float normal_z = math::sqrt( math::saturate( 1.0 - math::dot( normal_xy, normal_xy ) ) ); + return float4( normal_xy.x, normal_xy.y, normal_z, 1.0 ); +} + +// for get color value from normal. +export float4 pack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Pack to color from a normal") +]] +{ + float2 return_xy = float2(texture_sample.x, texture_sample.y); + + return_xy = (return_xy + float2(1.0,1.0)) / float2(2.0,2.0); + + return float4( return_xy.x, return_xy.y, 0.0, 1.0 ); +} + +export float4 greyscale_texture_lookup( + float4 texture_sample = float4(0.0, 0.0, 0.0, 1.0) + ) +[[ + anno::description("Sampling a greyscale texture"), + anno::noinline() +]] +{ + return float4(texture_sample.x, texture_sample.x, texture_sample.x, texture_sample.x); +} + +export float3 pixel_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Pixel normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 vertex_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Vertex normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 landscape_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Landscape normal in world space") +]] +{ + float3 normalFromNormalmap = math::floor((::vertex_normal_world_space(up_z) * 0.5 + 0.5) * 255.0) / 255.0 * 2.0 - 1.0; + + float2 normalXY = float2(normalFromNormalmap.x, normalFromNormalmap.y); + return float3(normalXY.x, normalXY.y, math::sqrt(math::saturate(1.0 - math::dot(normalXY, normalXY)))); +} + +// Different implementation specific between mdl and hlsl for smoothstep +export float smoothstep(float a, float b, float l) +{ + if (a < b) + { + return math::smoothstep(a, b, l); + } + else if (a > b) + { + return 1.0 - math::smoothstep(b, a, l); + } + else + { + return l <= a ? 0.0 : 1.0; + } +} + +export float2 smoothstep(float2 a, float2 b, float2 l) +{ + return float2(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y)); +} + +export float3 smoothstep(float3 a, float3 b, float3 l) +{ + return float3(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z)); +} + +export float4 smoothstep(float4 a, float4 b, float4 l) +{ + return float4(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z), smoothstep(a.w, b.w, l.w)); +} + +export float2 smoothstep(float2 a, float2 b, float l) +{ + return float2(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l)); +} + +export float3 smoothstep(float3 a, float3 b, float l) +{ + return float3(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l)); +} + +export float4 smoothstep(float4 a, float4 b, float l) +{ + return float4(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l), smoothstep(a.w, b.w, l)); +} + +export float2 smoothstep(float a, float b, float2 l) +{ + return float2(smoothstep(a, b, l.x), smoothstep(a, b, l.y)); +} + +export float3 smoothstep(float a, float b, float3 l) +{ + return float3(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z)); +} + +export float4 smoothstep(float a, float b, float4 l) +{ + return float4(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z), smoothstep(a, b, l.w)); +} + +//------------------ Random from UE4 ----------------------- +float length2(float3 v) +{ + return math::dot(v, v); +} + +float3 GetPerlinNoiseGradientTextureAt(uniform texture_2d PerlinNoiseGradientTexture, float3 v) +{ + const float2 ZShear = float2(17.0f, 89.0f); + + float2 OffsetA = v.z * ZShear; + float2 TexA = (float2(v.x, v.y) + OffsetA + 0.5f) / 128.0f; + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA.x,1.0-TexA.y),tex::wrap_repeat,tex::wrap_repeat); + return float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z) * 2.0 - 1.0; +} + +float3 SkewSimplex(float3 In) +{ + return In + math::dot(In, float3(1.0 / 3.0f) ); +} +float3 UnSkewSimplex(float3 In) +{ + return In - math::dot(In, float3(1.0 / 6.0f) ); +} + +// 3D random number generator inspired by PCGs (permuted congruential generator) +// Using a **simple** Feistel cipher in place of the usual xor shift permutation step +// @param v = 3D integer coordinate +// @return three elements w/ 16 random bits each (0-0xffff). +// ~8 ALU operations for result.x (7 mad, 1 >>) +// ~10 ALU operations for result.xy (8 mad, 2 >>) +// ~12 ALU operations for result.xyz (9 mad, 3 >>) + +//TODO: uint3 +int3 Rand3DPCG16(int3 p) +{ + // taking a signed int then reinterpreting as unsigned gives good behavior for negatives + //TODO: uint3 + int3 v = int3(p); + + // Linear congruential step. These LCG constants are from Numerical Recipies + // For additional #'s, PCG would do multiple LCG steps and scramble each on output + // So v here is the RNG state + v = v * 1664525 + 1013904223; + + // PCG uses xorshift for the final shuffle, but it is expensive (and cheap + // versions of xorshift have visible artifacts). Instead, use simple MAD Feistel steps + // + // Feistel ciphers divide the state into separate parts (usually by bits) + // then apply a series of permutation steps one part at a time. The permutations + // use a reversible operation (usually ^) to part being updated with the result of + // a permutation function on the other parts and the key. + // + // In this case, I'm using v.x, v.y and v.z as the parts, using + instead of ^ for + // the combination function, and just multiplying the other two parts (no key) for + // the permutation function. + // + // That gives a simple mad per round. + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + + // only top 16 bits are well shuffled + return v >> 16; +} + +// Wraps noise for tiling texture creation +// @param v = unwrapped texture parameter +// @param bTiling = true to tile, false to not tile +// @param RepeatSize = number of units before repeating +// @return either original or wrapped coord +float3 NoiseTileWrap(float3 v, bool bTiling, float RepeatSize) +{ + return bTiling ? (math::frac(v / RepeatSize) * RepeatSize) : v; +} + +// Evaluate polynomial to get smooth transitions for Perlin noise +// only needed by Perlin functions in this file +// scalar(per component): 2 add, 5 mul +float4 PerlinRamp(float4 t) +{ + return t * t * t * (t * (t * 6 - 15) + 10); +} + +// Blum-Blum-Shub-inspired pseudo random number generator +// http://www.umbc.edu/~olano/papers/mNoise.pdf +// real BBS uses ((s*s) mod M) with bignums and M as the product of two huge Blum primes +// instead, we use a single prime M just small enough not to overflow +// note that the above paper used 61, which fits in a half, but is unusably bad +// @param Integer valued floating point seed +// @return random number in range [0,1) +// ~8 ALU operations (5 *, 3 frac) +float RandBBSfloat(float seed) +{ + float BBS_PRIME24 = 4093.0; + float s = math::frac(seed / BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + return s; +} + +// Modified noise gradient term +// @param seed - random seed for integer lattice position +// @param offset - [-1,1] offset of evaluation point from lattice point +// @return gradient direction (xyz) and contribution (w) from this lattice point +float4 MGradient(int seed, float3 offset) +{ + //TODO uint + int rand = Rand3DPCG16(int3(seed,0,0)).x; + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1.0 / 0x4000, 1.0 / 0x2000, 1.0 / 0x1000); + float3 direction = float3(int3(rand, rand, rand) & MGradientMask) * MGradientScale - 1; + return float4(direction.x, direction.y, direction.z, math::dot(direction, offset)); +} + +// compute Perlin and related noise corner seed values +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = true to return seed values for a repeating noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @param seed000-seed111 = hash function seeds for the eight corners +// @return fractional part of v +struct SeedValue +{ + float3 fv = float3(0); + float seed000 = 0; + float seed001 = 0; + float seed010 = 0; + float seed011 = 0; + float seed100 = 0; + float seed101 = 0; + float seed110 = 0; + float seed111 = 0; +}; + +SeedValue NoiseSeeds(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds; + seeds.fv = math::frac(v); + float3 iv = math::floor(v); + + const float3 primes = float3(19, 47, 101); + + if (bTiling) + { // can't algebraically combine with primes + seeds.seed000 = math::dot(primes, NoiseTileWrap(iv, true, RepeatSize)); + seeds.seed100 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 0), true, RepeatSize)); + seeds.seed010 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 0), true, RepeatSize)); + seeds.seed110 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 0), true, RepeatSize)); + seeds.seed001 = math::dot(primes, NoiseTileWrap(iv + float3(0, 0, 1), true, RepeatSize)); + seeds.seed101 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 1), true, RepeatSize)); + seeds.seed011 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 1), true, RepeatSize)); + seeds.seed111 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 1), true, RepeatSize)); + } + else + { // get to combine offsets with multiplication by primes in this case + seeds.seed000 = math::dot(iv, primes); + seeds.seed100 = seeds.seed000 + primes.x; + seeds.seed010 = seeds.seed000 + primes.y; + seeds.seed110 = seeds.seed100 + primes.y; + seeds.seed001 = seeds.seed000 + primes.z; + seeds.seed101 = seeds.seed100 + primes.z; + seeds.seed011 = seeds.seed010 + primes.z; + seeds.seed111 = seeds.seed110 + primes.z; + } + + return seeds; +} + +struct SimplexWeights +{ + float4 Result = float4(0); + float3 PosA = float3(0); + float3 PosB = float3(0); + float3 PosC = float3(0); + float3 PosD = float3(0); +}; + +// Computed weights and sample positions for simplex interpolation +// @return float4(a,b,c, d) Barycentric coordinate defined as Filtered = Tex(PosA) * a + Tex(PosB) * b + Tex(PosC) * c + Tex(PosD) * d +SimplexWeights ComputeSimplexWeights3D(float3 OrthogonalPos) +{ + SimplexWeights weights; + float3 OrthogonalPosFloor = math::floor(OrthogonalPos); + + weights.PosA = OrthogonalPosFloor; + weights.PosB = weights.PosA + float3(1, 1, 1); + + OrthogonalPos -= OrthogonalPosFloor; + + float Largest = math::max(OrthogonalPos.x, math::max(OrthogonalPos.y, OrthogonalPos.z)); + float Smallest = math::min(OrthogonalPos.x, math::min(OrthogonalPos.y, OrthogonalPos.z)); + + weights.PosC = weights.PosA + float3(Largest == OrthogonalPos.x, Largest == OrthogonalPos.y, Largest == OrthogonalPos.z); + weights.PosD = weights.PosA + float3(Smallest != OrthogonalPos.x, Smallest != OrthogonalPos.y, Smallest != OrthogonalPos.z); + + float RG = OrthogonalPos.x - OrthogonalPos.y; + float RB = OrthogonalPos.x - OrthogonalPos.z; + float GB = OrthogonalPos.y - OrthogonalPos.z; + + weights.Result.z = + math::min(math::max(0, RG), math::max(0, RB)) // X + + math::min(math::max(0, -RG), math::max(0, GB)) // Y + + math::min(math::max(0, -RB), math::max(0, -GB)); // Z + + weights.Result.w = + math::min(math::max(0, -RG), math::max(0, -RB)) // X + + math::min(math::max(0, RG), math::max(0, -GB)) // Y + + math::min(math::max(0, RB), math::max(0, GB)); // Z + + weights.Result.y = Smallest; + weights.Result.x = 1.0f - weights.Result.y - weights.Result.z - weights.Result.w; + + return weights; +} + +// filtered 3D gradient simple noise (few texture lookups, high quality) +// @param v >0 +// @return random number in the range -1 .. 1 +float SimplexNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 EvalPos) +{ + float3 OrthogonalPos = SkewSimplex(EvalPos); + + SimplexWeights Weights = ComputeSimplexWeights3D(OrthogonalPos); + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 32 bit) + float3 A = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosA); + float3 B = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosB); + float3 C = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosC); + float3 D = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosD); + + Weights.PosA = UnSkewSimplex(Weights.PosA); + Weights.PosB = UnSkewSimplex(Weights.PosB); + Weights.PosC = UnSkewSimplex(Weights.PosC); + Weights.PosD = UnSkewSimplex(Weights.PosD); + + float DistanceWeight; + + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosA)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float a = math::dot(A, EvalPos - Weights.PosA) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosB)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float b = math::dot(B, EvalPos - Weights.PosB) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosC)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float c = math::dot(C, EvalPos - Weights.PosC) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosD)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float d = math::dot(D, EvalPos - Weights.PosD) * DistanceWeight; + + return 32 * (a + b + c + d); +} + +// filtered 3D noise, can be optimized +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 v, bool bTiling, float RepeatSize) +{ + bTiling = true; + float3 fv = math::frac(v); + float3 iv0 = NoiseTileWrap(math::floor(v), bTiling, RepeatSize); + float3 iv1 = NoiseTileWrap(iv0 + 1, bTiling, RepeatSize); + + const int2 ZShear = int2(17, 89); + + float2 OffsetA = iv0.z * ZShear; + float2 OffsetB = OffsetA + ZShear; // non-tiling, use relative offset + if (bTiling) // tiling, have to compute from wrapped coordinates + { + OffsetB = iv1.z * ZShear; + } + + // Texture size scale factor + float ts = 1 / 128.0f; + + // texture coordinates for iv0.xy, as offset for both z slices + float2 TexA0 = (float2(iv0.x, iv0.y) + OffsetA + 0.5f) * ts; + float2 TexB0 = (float2(iv0.x, iv0.y) + OffsetB + 0.5f) * ts; + + // texture coordinates for iv1.xy, as offset for both z slices + float2 TexA1 = TexA0 + ts; // for non-tiling, can compute relative to existing coordinates + float2 TexB1 = TexB0 + ts; + if (bTiling) // for tiling, need to compute from wrapped coordinates + { + TexA1 = (float2(iv1.x, iv1.y) + OffsetA + 0.5f) * ts; + TexB1 = (float2(iv1.x, iv1.y) + OffsetB + 0.5f) * ts; + } + + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 8, 16 or 32 bit) + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 A = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 B = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 C = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 D = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 E = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 F = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 G = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 H = PerlinNoiseColor * 2 - 1; + + float a = math::dot(A, fv - float3(0, 0, 0)); + float b = math::dot(B, fv - float3(1, 0, 0)); + float c = math::dot(C, fv - float3(0, 1, 0)); + float d = math::dot(D, fv - float3(1, 1, 0)); + float e = math::dot(E, fv - float3(0, 0, 1)); + float f = math::dot(F, fv - float3(1, 0, 1)); + float g = math::dot(G, fv - float3(0, 1, 1)); + float h = math::dot(H, fv - float3(1, 1, 1)); + + float4 Weights = PerlinRamp(math::frac(float4(fv.x, fv.y, fv.z, 0))); + + float i = math::lerp(math::lerp(a, b, Weights.x), math::lerp(c, d, Weights.x), Weights.y); + float j = math::lerp(math::lerp(e, f, Weights.x), math::lerp(g, h, Weights.x), Weights.y); + + return math::lerp(i, j, Weights.z); +} + +// @return random number in the range -1 .. 1 +// scalar: 6 frac, 31 mul/mad, 15 add, +float FastGradientPerlinNoise3D_TEX(uniform texture_3d PerlinNoise3DTexture, float3 xyz) +{ + // needs to be the same value when creating the PerlinNoise3D texture + float Extent = 16; + + // last texel replicated and needed for filtering + // scalar: 3 frac, 6 mul + xyz = math::frac(xyz / (Extent - 1)) * (Extent - 1); + + // scalar: 3 frac + float3 uvw = math::frac(xyz); + // = floor(xyz); + // scalar: 3 add + float3 p0 = xyz - uvw; +// float3 f = math::pow(uvw, 2) * 3.0f - math::pow(uvw, 3) * 2.0f; // original perlin hermite (ok when used without bump mapping) + // scalar: 2*3 add 5*3 mul + float4 pr = PerlinRamp(float4(uvw.x, uvw.y, uvw.z, 0)); + float3 f = float3(pr.x, pr.y, pr.z); // new, better with continues second derivative for bump mapping + // scalar: 3 add + float3 p = p0 + f; + // scalar: 3 mad + // TODO: need reverse??? + float4 NoiseSample = tex::lookup_float4(PerlinNoise3DTexture, p / Extent + 0.5f / Extent); // +0.5f to get rid of bilinear offset + + // reconstruct from 8bit (using mad with 2 constants and dot4 was same instruction count) + // scalar: 4 mad, 3 mul, 3 add + float3 n = float3(NoiseSample.x, NoiseSample.y, NoiseSample.z) * 255.0f / 127.0f - 1.0f; + float d = NoiseSample.w * 255.f - 127; + return math::dot(xyz, n) - d; +} + +// Perlin-style "Modified Noise" +// http://www.umbc.edu/~olano/papers/index.html#mNoise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = MGradient(int(seeds.seed000), seeds.fv - float3(0, 0, 0)).w; + float rand100 = MGradient(int(seeds.seed100), seeds.fv - float3(1, 0, 0)).w; + float rand010 = MGradient(int(seeds.seed010), seeds.fv - float3(0, 1, 0)).w; + float rand110 = MGradient(int(seeds.seed110), seeds.fv - float3(1, 1, 0)).w; + float rand001 = MGradient(int(seeds.seed001), seeds.fv - float3(0, 0, 1)).w; + float rand101 = MGradient(int(seeds.seed101), seeds.fv - float3(1, 0, 1)).w; + float rand011 = MGradient(int(seeds.seed011), seeds.fv - float3(0, 1, 1)).w; + float rand111 = MGradient(int(seeds.seed111), seeds.fv - float3(1, 1, 1)).w; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D value noise - used to be incorrectly called Perlin noise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float ValueNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = RandBBSfloat(seeds.seed000) * 2 - 1; + float rand100 = RandBBSfloat(seeds.seed100) * 2 - 1; + float rand010 = RandBBSfloat(seeds.seed010) * 2 - 1; + float rand110 = RandBBSfloat(seeds.seed110) * 2 - 1; + float rand001 = RandBBSfloat(seeds.seed001) * 2 - 1; + float rand101 = RandBBSfloat(seeds.seed101) * 2 - 1; + float rand011 = RandBBSfloat(seeds.seed011) * 2 - 1; + float rand111 = RandBBSfloat(seeds.seed111) * 2 - 1; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D jitter offset within a voronoi noise cell +// @param pos - integer lattice corner +// @return random offsets vector +float3 VoronoiCornerSample(float3 pos, int Quality) +{ + // random values in [-0.5, 0.5] + float3 noise = float3(Rand3DPCG16(int3(pos))) / 0xffff - 0.5; + + // quality level 1 or 2: searches a 2x2x2 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 2x2x2 search + if (Quality <= 2) + { + return math::normalize(noise) * 0.2588; + } + + // quality level 3: searches a 3x3x3 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 3x3x3 search + if (Quality == 3) + { + return math::normalize(noise) * 0.3090; + } + + // quality level 4: jitter to anywhere in the cell, needs 4x4x4 search + return noise; +} + +// compare previous best with a new candidate +// not producing point locations makes it easier for compiler to eliminate calculations when they're not needed +// @param minval = location and distance of best candidate seed point before the new one +// @param candidate = candidate seed point +// @param offset = 3D offset to new candidate seed point +// @param bDistanceOnly = if true, only set maxval.w with distance, otherwise maxval.w is distance and maxval.xyz is position +// @return position (if bDistanceOnly is false) and distance to closest seed point so far +float4 VoronoiCompare(float4 minval, float3 candidate, float3 offset, bool bDistanceOnly) +{ + if (bDistanceOnly) + { + return float4(0, 0, 0, math::min(minval.w, math::dot(offset, offset))); + } + else + { + float newdist = math::dot(offset, offset); + return newdist > minval.w ? minval : float4(candidate.x, candidate.y, candidate.z, newdist); + } +} + +// 220 instruction Worley noise +float4 VoronoiNoise3D_ALU(float3 v, int Quality, bool bTiling, float RepeatSize, bool bDistanceOnly) +{ + float3 fv = math::frac(v), fv2 = math::frac(v + 0.5); + float3 iv = math::floor(v), iv2 = math::floor(v + 0.5); + + // with initial minimum distance = infinity (or at least bigger than 4), first min is optimized away + float4 mindist = float4(0,0,0,100); + float3 p, offset; + + // quality level 3: do a 3x3x3 search + if (Quality == 3) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 1; ++offset_x) + { + for (offset_y = -1; offset_y <= 1; ++offset_y) + { + for (offset_z = -1; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + + // everybody else searches a base 2x2x2 neighborhood + else + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = 0; offset_x <= 1; ++offset_x) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // quality level 2, do extra set of points, offset by half a cell + if (Quality == 2) + { + // 467 is just an offset to a different area in the random number field to avoid similar neighbor artifacts + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize) + 467, Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + } + + // quality level 4: add extra sets of four cells in each direction + if (Quality >= 4) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 2; offset_x += 3) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + // along x axis + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along y axis + p = float3(offset.y, offset.z, offset.x) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.y, offset.z, offset.x), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along z axis + p = float3(offset.z, offset.x, offset.y) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.z, offset.x, offset.y), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + } + } + } + } + + // transform squared distance to real distance + return float4(mindist.x, mindist.y, mindist.z, math::sqrt(mindist.w)); +} + +// Coordinates for corners of a Simplex tetrahedron +// Based on McEwan et al., Efficient computation of noise in GLSL, JGT 2011 +// @param v = 3D noise argument +// @return 4 corner locations +float4x3 SimplexCorners(float3 v) +{ + // find base corner by skewing to tetrahedral space and back + float3 tet = math::floor(v + v.x/3 + v.y/3 + v.z/3); + float3 base = tet - tet.x/6 - tet.y/6 - tet.z/6; + float3 f = v - base; + + // Find offsets to other corners (McEwan did this in tetrahedral space, + // but since skew is along x=y=z axis, this works in Euclidean space too.) + float3 g = math::step(float3(f.y,f.z,f.x), float3(f.x,f.y,f.z)), h = 1 - float3(g.z, g.x, g.y); + float3 a1 = math::min(g, h) - 1.0 / 6.0, a2 = math::max(g, h) - 1.0 / 3.0; + + // four corners + return float4x3(base, base + a1, base + a2, base + 0.5); +} + +// Improved smoothing function for simplex noise +// @param f = fractional distance to four tetrahedral corners +// @return weight for each corner +float4 SimplexSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + return (1 * scale + s*(-3 * scale + s*(3 * scale - s*scale))); +} + +// Derivative of simplex noise smoothing function +// @param f = fractional distanc eto four tetrahedral corners +// @return derivative of smoothing function for each corner by x, y and z +float3x4 SimplexDSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + s = -12 * scale + s*(24 * scale - s * 12 * scale); + + return float3x4( + s * float4(f[0][0], f[1][0], f[2][0], f[3][0]), + s * float4(f[0][1], f[1][1], f[2][1], f[3][1]), + s * float4(f[0][2], f[1][2], f[2][2], f[3][2])); +} + +// Simplex noise and its Jacobian derivative +// @param v = 3D noise argument +// @param bTiling = whether to repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension, must be a multiple of 3 +// @return float3x3 Jacobian in J[*].xyz, vector noise in J[*].w +// J[0].w, J[1].w, J[2].w is a Perlin-style simplex noise with vector output, e.g. (Nx, Ny, Nz) +// J[i].x is X derivative of the i'th component of the noise so J[2].x is dNz/dx +// You can use this to compute the noise, gradient, curl, or divergence: +// float3x4 J = JacobianSimplex_ALU(...); +// float3 VNoise = float3(J[0].w, J[1].w, J[2].w); // 3D noise +// float3 Grad = J[0].xyz; // gradient of J[0].w +// float3 Curl = float3(J[1][2]-J[2][1], J[2][0]-J[0][2], J[0][1]-J[1][2]); +// float Div = J[0][0]+J[1][1]+J[2][2]; +// All of these are confirmed to compile out all unneeded terms. +// So Grad of X doesn't compute Y or Z components, and VNoise doesn't do any of the derivative computation. +float3x4 JacobianSimplex_ALU(float3 v, bool bTiling, float RepeatSize) +{ + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1. / 0x4000, 1. / 0x2000, 1. / 0x1000); + + // corners of tetrahedron + float4x3 T = SimplexCorners(v); + // TODO: uint3 + int3 rand = int3(0); + float4x3 gvec0 = float4x3(1.0); + float4x3 gvec1 = float4x3(1.0); + float4x3 gvec2 = float4x3(1.0); + float4x3 fv = float4x3(1.0); + float3x4 grad = float3x4(1.0); + + // processing of tetrahedral vertices, unrolled + // to compute gradient at each corner + fv[0] = v - T[0]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[0] + 0.5, bTiling, RepeatSize)))); + gvec0[0] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[0] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[0] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][0] = math::dot(gvec0[0], fv[0]); + grad[1][0] = math::dot(gvec1[0], fv[0]); + grad[2][0] = math::dot(gvec2[0], fv[0]); + + fv[1] = v - T[1]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[1] + 0.5, bTiling, RepeatSize)))); + gvec0[1] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][1] = math::dot(gvec0[1], fv[1]); + grad[1][1] = math::dot(gvec1[1], fv[1]); + grad[2][1] = math::dot(gvec2[1], fv[1]); + + fv[2] = v - T[2]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[2] + 0.5, bTiling, RepeatSize)))); + gvec0[2] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[2] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[2] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][2] = math::dot(gvec0[2], fv[2]); + grad[1][2] = math::dot(gvec1[2], fv[2]); + grad[2][2] = math::dot(gvec2[2], fv[2]); + + fv[3] = v - T[3]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[3] + 0.5, bTiling, RepeatSize)))); + gvec0[3] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[3] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[3] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][3] = math::dot(gvec0[3], fv[3]); + grad[1][3] = math::dot(gvec1[3], fv[3]); + grad[2][3] = math::dot(gvec2[3], fv[3]); + + // blend gradients + float4 sv = SimplexSmooth(fv); + float3x4 ds = SimplexDSmooth(fv); + + float3x4 jacobian = float3x4(1.0); + float3 vec0 = gvec0*sv + grad[0]*ds; // NOTE: mdl is column major, convert from UE4 (row major) + jacobian[0] = float4(vec0.x, vec0.y, vec0.z, math::dot(sv, grad[0])); + float3 vec1 = gvec1*sv + grad[1]*ds; + jacobian[1] = float4(vec1.x, vec1.y, vec1.z, math::dot(sv, grad[1])); + float3 vec2 = gvec2*sv + grad[2]*ds; + jacobian[2] = float4(vec2.x, vec2.y, vec2.z, math::dot(sv, grad[2])); + + return jacobian; +} + +// While RepeatSize is a float here, the expectation is that it would be largely integer values coming in from the UI. The downstream logic assumes +// floats for all called functions (NoiseTileWrap) and this prevents any float-to-int conversion errors from automatic type conversion. +float Noise3D_Multiplexer(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, int Function, float3 Position, int Quality, bool bTiling, float RepeatSize) +{ + // verified, HLSL compiled out the switch if Function is a constant + switch(Function) + { + case 0: + return SimplexNoise3D_TEX(PerlinNoiseGradientTexture, Position); + case 1: + return GradientNoise3D_TEX(PerlinNoiseGradientTexture, Position, bTiling, RepeatSize); + case 2: + return FastGradientPerlinNoise3D_TEX(PerlinNoise3DTexture, Position); + case 3: + return GradientNoise3D_ALU(Position, bTiling, RepeatSize); + case 4: + return ValueNoise3D_ALU(Position, bTiling, RepeatSize); + case 5: + return VoronoiNoise3D_ALU(Position, Quality, bTiling, RepeatSize, true).w * 2.0 - 1.0; + } + return 0; +} +//---------------------------------------------------------- + +export float noise(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, float3 Position, float Scale, float Quality, float Function, float Turbulence, float Levels, float OutputMin, float OutputMax, float LevelScale, float FilterWidth, float Tiling, float RepeatSize) +[[ + anno::description("Noise"), + anno::noinline() +]] +{ + Position *= Scale; + FilterWidth *= Scale; + + float Out = 0.0f; + float OutScale = 1.0f; + float InvLevelScale = 1.0f / LevelScale; + + int iFunction(Function); + int iQuality(Quality); + int iLevels(Levels); + bool bTurbulence(Turbulence); + bool bTiling(Tiling); + + for(int i = 0; i < iLevels; ++i) + { + // fade out noise level that are too high frequent (not done through dynamic branching as it usually requires gradient instructions) + OutScale *= math::saturate(1.0 - FilterWidth); + + if(bTurbulence) + { + Out += math::abs(Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize)) * OutScale; + } + else + { + Out += Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize) * OutScale; + } + + Position *= LevelScale; + RepeatSize *= LevelScale; + OutScale *= InvLevelScale; + FilterWidth *= LevelScale; + } + + if(!bTurbulence) + { + // bring -1..1 to 0..1 range + Out = Out * 0.5f + 0.5f; + } + + // Out is in 0..1 range + return math::lerp(OutputMin, OutputMax, Out); +} + +// Material node for noise functions returning a vector value +// @param LevelScale usually 2 but higher values allow efficient use of few levels +// @return in user defined range (OutputMin..OutputMax) +export float4 vector4_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise"), + anno::noinline() +]] +{ + float4 result = float4(0,0,0,1); + float3 ret = float3(0); + int iQuality = int(Quality); + int iFunction = int(Function); + bool bTiling = Tiling > 0.0; + + float3x4 Jacobian = JacobianSimplex_ALU(Position, bTiling, TileSize); // compiled out if not used + + // verified, HLSL compiled out the switch if Function is a constant + switch (iFunction) + { + case 0: // Cellnoise + ret = float3(Rand3DPCG16(int3(math::floor(NoiseTileWrap(Position, bTiling, TileSize))))) / 0xffff; + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 1: // Color noise + ret = float3(Jacobian[0].w, Jacobian[1].w, Jacobian[2].w); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 2: // Gradient + result = Jacobian[0]; + break; + case 3: // Curl + ret = float3(Jacobian[2][1] - Jacobian[1][2], Jacobian[0][2] - Jacobian[2][0], Jacobian[1][0] - Jacobian[0][1]); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 4: // Voronoi + result = VoronoiNoise3D_ALU(Position, iQuality, bTiling, TileSize, false); + break; + } + return result; +} + +export float3 vector3_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise float3 version"), + anno::noinline() +]] +{ + float4 noise = vector4_noise(Position, Quality, Function, Tiling, TileSize); + return float3(noise.x, noise.y, noise.z); +} + + +// workaround for ue4 fresnel (without supporting for camera vector) : replacing it with 0.0, means facing to the view +export float fresnel(float exponent [[anno::unused()]], float base_reflect_fraction [[anno::unused()]], float3 normal [[anno::unused()]]) +[[ + anno::description("Fresnel"), + anno::noinline() +]] +{ + return 0.0; +} + +export float fresnel_function(float3 normal_vector [[anno::unused()]], float3 camera_vector [[anno::unused()]], + bool invert_fresnel [[anno::unused()]], float power [[anno::unused()]], + bool use_cheap_contrast [[anno::unused()]], float cheap_contrast_dark [[anno::unused()]], float cheap_contrast_bright [[anno::unused()]], + bool clamp_fresnel_dot_product [[anno::unused()]]) +[[ + anno::description("Fresnel Function"), + anno::noinline() +]] +{ + return 0.0; +} + +export float3 camera_vector(uniform bool up_z = true) +[[ + anno::description("Camera Vector"), + anno::noinline() +]] +{ + // assume camera postion is 0,0,0 + return math::normalize(float3(0) - convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)); +} + +export float pixel_depth() +[[ + anno::description("Pixel Depth"), + anno::noinline() +]] +{ + return 256.0f; +} + +export float scene_depth() +[[ + anno::description("Scene Depth") +]] +{ + return 65500.0f; +} + +export float3 scene_color() +[[ + anno::description("Scene Color") +]] +{ + return float3(1.0f); +} + +export float4 vertex_color() +[[ + anno::description("Vertex Color"), + anno::noinline() +]] +{ + return float4(1.0f); +} + +export float4 vertex_color_from_coordinate(int VertexColorCoordinateIndex) +[[ + anno::description("Vertex Color for float2 PrimVar"), + anno::noinline() +]] +{ + // Kit only supports 4 uv sets, 2 uvs are available to vertex color. if vertex color index is invalid, output the constant WHITE color intead + return (VertexColorCoordinateIndex > 2) ? float4(1.0f) : float4(state::texture_coordinate(VertexColorCoordinateIndex).x, state::texture_coordinate(VertexColorCoordinateIndex).y, state::texture_coordinate(VertexColorCoordinateIndex+1).x, state::texture_coordinate(VertexColorCoordinateIndex+1).y); +} + +export float3 camera_position() +[[ + anno::description("Camera Position"), + anno::noinline() +]] +{ + return float3(1000.0f, 0, 0); +} + +export float3 rotate_about_axis(float4 NormalizedRotationAxisAndAngle, float3 PositionOnAxis, float3 Position) +[[ + anno::description("Rotates Position about the given axis by the given angle") +]] +{ + // Project Position onto the rotation axis and find the closest point on the axis to Position + float3 NormalizedRotationAxis = float3(NormalizedRotationAxisAndAngle.x,NormalizedRotationAxisAndAngle.y,NormalizedRotationAxisAndAngle.z); + float3 ClosestPointOnAxis = PositionOnAxis + NormalizedRotationAxis * math::dot(NormalizedRotationAxis, Position - PositionOnAxis); + // Construct orthogonal axes in the plane of the rotation + float3 UAxis = Position - ClosestPointOnAxis; + float3 VAxis = math::cross(NormalizedRotationAxis, UAxis); + float[2] SinCosAngle = math::sincos(NormalizedRotationAxisAndAngle.w); + // Rotate using the orthogonal axes + float3 R = UAxis * SinCosAngle[1] + VAxis * SinCosAngle[0]; + // Reconstruct the rotated world space position + float3 RotatedPosition = ClosestPointOnAxis + R; + // Convert from position to a position offset + return RotatedPosition - Position; +} + +export float2 rotate_scale_offset_texcoords(float2 InTexCoords, float4 InRotationScale, float2 InOffset) +[[ + anno::description("Returns a float2 texture coordinate after 2x2 transform and offset applied") +]] +{ + return float2(math::dot(InTexCoords, float2(InRotationScale.x, InRotationScale.y)), math::dot(InTexCoords, float2(InRotationScale.z, InRotationScale.w))) + InOffset; +} + +export float3 reflection_custom_world_normal(float3 WorldNormal, bool bNormalizeInputNormal, uniform bool up_z = true) +[[ + anno::description("Reflection vector about the specified world space normal") +]] +{ + if (bNormalizeInputNormal) + { + WorldNormal = math::normalize(WorldNormal); + } + + return -camera_vector(up_z) + WorldNormal * math::dot(WorldNormal, camera_vector(up_z)) * 2.0; +} + +export float3 reflection_vector(uniform bool up_z = true) +[[ + anno::description("Reflection Vector"), + anno::noinline() +]] +{ + float3 normal = convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); + return reflection_custom_world_normal(normal, false, up_z); +} + +export float dither_temporalAA(float AlphaThreshold = 0.5f, float Random = 1.0f [[anno::unused()]]) +[[ + anno::description("Dither TemporalAA"), + anno::noinline() +]] +{ + return AlphaThreshold; +} + +export float3 black_body( float Temp ) +[[ + anno::description("Black Body"), + anno::noinline() +]] +{ + float u = ( 0.860117757f + 1.54118254e-4f * Temp + 1.28641212e-7f * Temp*Temp ) / ( 1.0f + 8.42420235e-4f * Temp + 7.08145163e-7f * Temp*Temp ); + float v = ( 0.317398726f + 4.22806245e-5f * Temp + 4.20481691e-8f * Temp*Temp ) / ( 1.0f - 2.89741816e-5f * Temp + 1.61456053e-7f * Temp*Temp ); + + float x = 3*u / ( 2*u - 8*v + 4 ); + float y = 2*v / ( 2*u - 8*v + 4 ); + float z = 1 - x - y; + + float Y = 1; + float X = Y/y * x; + float Z = Y/y * z; + + float3x3 XYZtoRGB = float3x3( + float3(3.2404542, -1.5371385, -0.4985314), + float3(-0.9692660, 1.8760108, 0.0415560), + float3(0.0556434, -0.2040259, 1.0572252) + ); + + return XYZtoRGB * float3( X, Y, Z ) * math::pow( 0.0004 * Temp, 4 ); +} + +export float per_instance_random(uniform texture_2d PerlinNoiseGradientTexture, int NumberInstances) +[[ + anno::description("Per Instance Random"), + anno::noinline() +]] +{ + float weight = state::object_id() / float(NumberInstances); + return NumberInstances == 0 ? 0.0 : tex::lookup_float4(PerlinNoiseGradientTexture, float2(weight, 1.0 - weight), tex::wrap_repeat, tex::wrap_repeat).x; +} + +//------------------ Hair from UE4 ----------------------- +float3 hair_absorption_to_color(float3 A) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::exp(-math::sqrt(A) * D); +} + +float3 hair_color_to_absorption(float3 C) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::pow(math::log(C) / D, 2.0f); +} + +export float3 get_hair_color_from_melanin(float InMelanin, float InRedness, float3 InDyeColor) +[[ + anno::description("Hair Color") +]] +{ + InMelanin = math::saturate(InMelanin); + InRedness = math::saturate(InRedness); + float Melanin = -math::log(math::max(1 - InMelanin, 0.0001f)); + float Eumelanin = Melanin * (1 - InRedness); + float Pheomelanin = Melanin * InRedness; + + float3 DyeAbsorption = hair_color_to_absorption(math::saturate(InDyeColor)); + float3 Absorption = Eumelanin * float3(0.506f, 0.841f, 1.653f) + Pheomelanin * float3(0.343f, 0.733f, 1.924f); + + return hair_absorption_to_color(Absorption + DyeAbsorption); +} + +export float3 local_object_bounds_min() +[[ + anno::description("Local Object Bounds Min"), + anno::noinline() +]] +{ + return float3(0.0); +} + +export float3 local_object_bounds_max() +[[ + anno::description("Local Object Bounds Max"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float3 object_bounds() +[[ + anno::description("Object Bounds"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float object_radius() +[[ + anno::description("Object Radius"), + anno::noinline() +]] +{ + return 100.0f; +} + +export float3 object_world_position(uniform bool up_z = true) +[[ + anno::description("Object World Position"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)*state::meters_per_scene_unit()*100.0; +} + +export float3 object_orientation() +[[ + anno::description("Object Orientation"), + anno::noinline() +]] +{ + return float3(0); +} + +export float rcp(float x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float2 rcp(float2 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float3 rcp(float3 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float4 rcp(float4 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export int BitFieldExtractI32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractI32 int"), + anno::noinline() +]] +{ + Size &= 3; + Offset &= 3; + + if (Size == 0) + return 0; + else if (Offset + Size < 32) + return (Data << (32 - Size - Offset)) >> (32 - Size); + else + return Data >> Offset; +} + +export int BitFieldExtractI32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractI32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(int(Data), int(Size), int(Offset)); +} + +export int BitFieldExtractU32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractU32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export int BitFieldExtractU32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractU32 int"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export float3 EyeAdaptationInverseLookup(float3 LightValue, float Alpha) +[[ + anno::description("EyeAdaptationInverseLookup"), + anno::noinline() +]] +{ + float Adaptation = 1.0f; + + // When Alpha=0.0, we want to multiply by 1.0. when Alpha = 1.0, we want to multiply by 1/Adaptation. + // So the lerped value is: + // LerpLogScale = Lerp(log(1),log(1/Adaptaiton),T) + // Which is simplified as: + // LerpLogScale = Lerp(0,-log(Adaptation),T) + // LerpLogScale = -T * logAdaptation; + + float LerpLogScale = -Alpha * math::log(Adaptation); + float Scale = math::exp(LerpLogScale); + return LightValue * Scale; +} diff --git a/Shelf/BP_StandardShelf7/Materials/Textures/TX_Fill_01a_ALB.png b/Shelf/BP_StandardShelf7/Materials/Textures/TX_Fill_01a_ALB.png new file mode 100644 index 0000000000000000000000000000000000000000..528019022ba7c89b855f7a4d2941210001fead06 --- /dev/null +++ b/Shelf/BP_StandardShelf7/Materials/Textures/TX_Fill_01a_ALB.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:fee342277b21693f79712651232e948e971704d1dad05a9c3419845133726030 +size 529 diff --git a/Shelf/BP_StandardShelf7/Materials/Textures/TX_Fill_01a_NRM.png b/Shelf/BP_StandardShelf7/Materials/Textures/TX_Fill_01a_NRM.png new file mode 100644 index 0000000000000000000000000000000000000000..bac643e168d6039f85cf61721c1430205801142b --- /dev/null +++ b/Shelf/BP_StandardShelf7/Materials/Textures/TX_Fill_01a_NRM.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:67da2ed33e060740fec6ec858fd8996f12c36cdfe7531e379855adb02e7d2126 +size 528 diff --git a/Shelf/BP_StandardShelf7/Materials/Textures/TX_Fill_01a_RMA.png b/Shelf/BP_StandardShelf7/Materials/Textures/TX_Fill_01a_RMA.png new file mode 100644 index 0000000000000000000000000000000000000000..9603bc776d81d5587769ca52357e9994e2f39327 --- /dev/null +++ b/Shelf/BP_StandardShelf7/Materials/Textures/TX_Fill_01a_RMA.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:964707e053aa985572045da96eb47c8491e621c681f45d01f80a623b06096b55 +size 529 diff --git a/Shelf/BP_StandardShelf7/Materials/Textures/TX_Shelf_03a_ALB.png b/Shelf/BP_StandardShelf7/Materials/Textures/TX_Shelf_03a_ALB.png new file mode 100644 index 0000000000000000000000000000000000000000..8e1b2c5a59ddcde18d76edcdc1d980c10b981941 --- /dev/null +++ b/Shelf/BP_StandardShelf7/Materials/Textures/TX_Shelf_03a_ALB.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:7016f6e6ccaccffe83c6a592dea0afb060dc5a80391bf41b0c334335991048fa +size 2450440 diff --git a/Shelf/BP_StandardShelf7/Materials/Textures/TX_Shelf_03a_NRM.png b/Shelf/BP_StandardShelf7/Materials/Textures/TX_Shelf_03a_NRM.png new file mode 100644 index 0000000000000000000000000000000000000000..50fc1fb5e1c6cf74101f375c14bd316f290bff18 --- /dev/null +++ b/Shelf/BP_StandardShelf7/Materials/Textures/TX_Shelf_03a_NRM.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:49a887b8db20466cd065f8ba5e16062fd3e53461fc616e36bf89734cc2281169 +size 3550045 diff --git a/Shelf/BP_StandardShelf7/Materials/Textures/TX_Shelf_03a_RMA.png b/Shelf/BP_StandardShelf7/Materials/Textures/TX_Shelf_03a_RMA.png new file mode 100644 index 0000000000000000000000000000000000000000..7dafe55f4773da5a8fb989056c65f51f79c48d7f --- /dev/null +++ b/Shelf/BP_StandardShelf7/Materials/Textures/TX_Shelf_03a_RMA.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:a1fdf6bae24290ba32aecfe6cc841dbb458918ae224159fa805de994ab15562c +size 4302413 diff --git a/Shelf/BP_StandardShelf7/Props/BackPlate.usd b/Shelf/BP_StandardShelf7/Props/BackPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..09e63ca0dcb6f42d9a5b85824499781b481a5e70 Binary files /dev/null and b/Shelf/BP_StandardShelf7/Props/BackPlate.usd differ diff --git a/Shelf/BP_StandardShelf7/Props/BasePlate.usd b/Shelf/BP_StandardShelf7/Props/BasePlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..478548989b6e83dfe41ba1dd053e2da85b3d207a Binary files /dev/null and b/Shelf/BP_StandardShelf7/Props/BasePlate.usd differ diff --git a/Shelf/BP_StandardShelf7/Props/HorizontalPlate.usd b/Shelf/BP_StandardShelf7/Props/HorizontalPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..8aa2124d13f76ef224b31114f339a55118d8db5f Binary files /dev/null and b/Shelf/BP_StandardShelf7/Props/HorizontalPlate.usd differ diff --git a/Shelf/BP_StandardShelf7/instance.usd b/Shelf/BP_StandardShelf7/instance.usd new file mode 100644 index 0000000000000000000000000000000000000000..5383833f4ef2300eb8cffbfe917f5d85325c2fc8 Binary files /dev/null and b/Shelf/BP_StandardShelf7/instance.usd differ diff --git a/Shelf/BP_StandardShelf9/Materials/MM_Master_Material_01a.mdl b/Shelf/BP_StandardShelf9/Materials/MM_Master_Material_01a.mdl new file mode 100644 index 0000000000000000000000000000000000000000..5c9ac8d681d909b91a5598bc07472d864799aab4 --- /dev/null +++ b/Shelf/BP_StandardShelf9/Materials/MM_Master_Material_01a.mdl @@ -0,0 +1,107 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material MM_Master_Material_01a( + float TwoSidedSign = 1.0 + [[ + anno::hidden() + ]], + float TextureCoord = 1.0 + [[ + anno::display_name("Texture Coord"), + anno::ui_order(32), + anno::in_group("1.Textures") + ]], + uniform texture_2d Normal = texture_2d("./Textures/TX_Fill_01a_NRM.png",::tex::gamma_linear) + [[ + anno::display_name("Normal"), + anno::ui_order(32), + anno::in_group("1.Textures"), + sampler_normal() + ]], + float NormalIntensity = 1.0 + [[ + anno::display_name("Normal Intensity"), + anno::ui_order(32), + anno::in_group("Normal") + ]], + uniform texture_2d Albedo = texture_2d("./Textures/TX_Fill_01a_ALB.png",::tex::gamma_srgb) + [[ + anno::display_name("Albedo "), + anno::ui_order(32), + anno::in_group("1.Textures"), + sampler_color() + ]], + float4 AlbedoColorTint = float4(1.0,1.0,1.0,1.0) + [[ + anno::display_name("Albedo Color Tint"), + anno::ui_order(32), + anno::in_group("Albedo") + ]], + uniform texture_2d RMA = texture_2d("./Textures/TX_Fill_01a_RMA.png",::tex::gamma_linear) + [[ + anno::display_name("RMA"), + anno::description("R = Roughness | G = Metalness | B = Ambient Occlusion | A = Other "), + anno::ui_order(32), + anno::in_group("1.Textures"), + sampler_masks() + ]], + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + float2 Local0 = (CustomizedUV0_mdl * TextureCoord); + float4 Local1 = ::unpack_normal_map(tex::lookup_float4(Normal,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat)); + float3 Local2 = (TwoSidedSign * float3(Local1.x,Local1.y,Local1.z)); + float Local3 = (1.0 - NormalIntensity); + float3 Local4 = math::lerp(Local2,float3(0.0,0.0,1.0),Local3); + + float3 Normal_mdl = Local4; + + float4 Local5 = tex::lookup_float4(Albedo,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 Local6 = (float3(Local5.x,Local5.y,Local5.z) * float3(AlbedoColorTint.x,AlbedoColorTint.y,AlbedoColorTint.z)); + float4 Local7 = tex::lookup_float4(RMA,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat); + float Local8 = (Local7.z * 0.5); + float Local9 = math::min(math::max(Local7.x,0.0),1.0); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float OpacityMask_mdl = 1.0; + float3 BaseColor_mdl = Local6; + float Metallic_mdl = Local7.y; + float Specular_mdl = Local8; + float Roughness_mdl = Local9; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_StandardShelf9/Materials/OmniUe4Base.mdl b/Shelf/BP_StandardShelf9/Materials/OmniUe4Base.mdl new file mode 100644 index 0000000000000000000000000000000000000000..a441fbaf28040302c7aaabfbcf14b24a85bdf643 --- /dev/null +++ b/Shelf/BP_StandardShelf9/Materials/OmniUe4Base.mdl @@ -0,0 +1,224 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.0 - first version +//* 1.0.1 - merge unlit template +//* 1.0.2 - Fix EDF in the back side: the EDF contained in surface is only used for the front side and not for the back side +//* 1.0.3 - UE4 normal mapping: Geometry normal shouldn't be changed +//* 1.0.4 - using absolute import paths when importing standard modules + +mdl 1.3; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + +float emissive_multiplier() +[[ + anno::description("the multiplier to convert UE4 emissive to raw data"), + anno::noinline() +]] +{ + return 20.0f * 128.0f; +} + +float3 tangent_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in tangent space"), + anno::noinline() +]] +{ + return math::normalize( + tangent_u * normal.x - /* flip_tangent_v */ + tangent_v * normal.y + + state::normal() * (normal.z)); +} + +float3 world_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in world space"), + anno::noinline() +]] +{ + return tangent_space_normal( + math::normalize( + normal.x * float3(tangent_u.x, tangent_v.x, state::normal().x) - + normal.y * float3(tangent_u.y, tangent_v.y, state::normal().y) + + normal.z * float3(tangent_u.z, tangent_v.z, state::normal().z)), + tangent_u, + tangent_v + ); +} + +export material OmniUe4Base( + float3 base_color = float3(0.0, 0.0, 0.0), + float metallic = 0.0, + float roughness = 0.5, + float specular = 0.5, + float3 normal = float3(0.0,0.0,1.0), + float clearcoat_weight = 0.0, + float clearcoat_roughness = 0.0, + float3 clearcoat_normal = float3(0.0,0.0,1.0), + uniform bool enable_opacity = true, + float opacity = 1.0, + float3 emissive_color = float3(0.0, 0.0, 0.0), + float3 displacement = float3(0.0), + uniform bool is_tangent_space_normal = true, + uniform bool two_sided = false, + uniform bool is_unlit = false +) +[[ + anno::display_name("Omni UE4 Base"), + anno::description("Omni UE4 Base, supports UE4 default lit and clearcoat shading model"), + anno::version( 1, 0, 0), + anno::author("NVIDIA CORPORATION"), + anno::key_words(string[]("omni", "UE4", "omniverse", "lit", "clearcoat", "generic")) +]] + = let { + color final_base_color = math::saturate(base_color); + float final_metallic = math::saturate(metallic); + float final_roughness = math::saturate(roughness); + float final_specular = math::saturate(specular); + color final_emissive_color = math::max(emissive_color, 0.0f) * emissive_multiplier(); /*factor for converting ue4 emissive to raw value*/ + float final_clearcoat_weight = math::saturate(clearcoat_weight); + float final_clearcoat_roughness = math::saturate(clearcoat_roughness); + float3 final_normal = math::normalize(normal); + float3 final_clearcoat_normal = math::normalize(clearcoat_normal); + + // - compute final roughness by squaring the "roughness" parameter + float alpha = final_roughness * final_roughness; + // reduce the reflectivity at grazing angles to avoid "dark edges" for high roughness due to the layering + float grazing_refl = math::max((1.0 - final_roughness), 0.0); + + float3 the_normal = is_unlit ? state::normal() : + (is_tangent_space_normal ? + tangent_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + )); + + // for the dielectric component we layer the glossy component on top of the diffuse one, + // the glossy layer has no color tint + + bsdf dielectric_component = df::custom_curve_layer( + weight: final_specular, + normal_reflectivity: 0.08, + grazing_reflectivity: grazing_refl, + layer: df::microfacet_ggx_smith_bsdf(roughness_u: alpha), + base: df::diffuse_reflection_bsdf(tint: final_base_color), + normal: the_normal); + + // the metallic component doesn't have a diffuse component, it's only glossy + // base_color is applied to tint it + bsdf metallic_component = df::microfacet_ggx_smith_bsdf(tint: final_base_color, roughness_u: alpha); + + // final BSDF is a linear blend between dielectric and metallic component + bsdf dielectric_metal_mix = + df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: metallic_component, + weight: final_metallic), + df::bsdf_component( + component: dielectric_component, + weight: 1.0-final_metallic) + ) + ); + + // clearcoat layer + float clearcoat_grazing_refl = math::max((1.0 - final_clearcoat_roughness), 0.0); + float clearcoat_alpha = final_clearcoat_roughness * final_clearcoat_roughness; + + float3 the_clearcoat_normal = is_tangent_space_normal ? tangent_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ); + + + bsdf clearcoat = + df::custom_curve_layer( + base: df::weighted_layer( + layer: dielectric_metal_mix, + weight: 1.0, + normal: final_clearcoat_weight == 0.0 ? state::normal() : the_normal + ), + layer: df::microfacet_ggx_smith_bsdf( + roughness_u: clearcoat_alpha, + tint: color(1.0) + ), + normal_reflectivity: 0.04, + grazing_reflectivity: clearcoat_grazing_refl, + normal: the_clearcoat_normal, + weight: final_clearcoat_weight + ); + bsdf surface = is_unlit ? bsdf() : clearcoat; +} +in material( + thin_walled: two_sided, // Graphene? + surface: material_surface( + scattering: surface, + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + backface: material_surface( + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + geometry: material_geometry( + displacement: displacement, + normal: final_clearcoat_weight == 0.0 ? the_normal : state::normal(), + cutout_opacity: enable_opacity ? opacity : 1.0 + ) +); diff --git a/Shelf/BP_StandardShelf9/Materials/OmniUe4Function.mdl b/Shelf/BP_StandardShelf9/Materials/OmniUe4Function.mdl new file mode 100644 index 0000000000000000000000000000000000000000..84f4f0da48ff31d03ee611373fe3a4d2e04c9079 --- /dev/null +++ b/Shelf/BP_StandardShelf9/Materials/OmniUe4Function.mdl @@ -0,0 +1,1413 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.1 - using absolute import paths when importing standard modules + +mdl 1.6; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + + +export float3 convert_to_left_hand(float3 vec3, uniform bool up_z = true, uniform bool is_position = true) +[[ + anno::description("convert from RH to LH"), + anno::noinline() +]] +{ + float4x4 ZupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, -1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4x4 YupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4 vec4 = float4(vec3.x, vec3.y, vec3.z, is_position ? 1.0f : 0.0f); + + vec4 = vec4 * (up_z ? ZupConversion : YupConversion); + + return float3(vec4.x, vec4.y, vec4.z); +} + +export float3 transform_vector_from_tangent_to_world(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from tangent space to world space"), + anno::noinline() +]] +{ + /* flip_tangent_v */ + return convert_to_left_hand( + tangent_u * vector.x - tangent_v * vector.y + state::normal() * vector.z, + up_z, false); +} + +export float3 transform_vector_from_world_to_tangent(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from world space to tangent space"), + anno::noinline() +]] +{ + float3 vecRH = convert_to_left_hand(vector, up_z, false); + /* flip_tangent_v */ + return vecRH.x * float3(tangent_u.x, -tangent_v.x, state::normal().x) + + vecRH.y * float3(tangent_u.y, -tangent_v.y, state::normal().y) + + vecRH.z * float3(tangent_u.z, -tangent_v.z, state::normal().z); +} + +export float4 unpack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Unpack a normal stored in a normal map"), + anno::noinline() +]] +{ + float2 normal_xy = float2(texture_sample.x, texture_sample.y); + + normal_xy = normal_xy * float2(2.0,2.0) - float2(1.0,1.0); + float normal_z = math::sqrt( math::saturate( 1.0 - math::dot( normal_xy, normal_xy ) ) ); + return float4( normal_xy.x, normal_xy.y, normal_z, 1.0 ); +} + +// for get color value from normal. +export float4 pack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Pack to color from a normal") +]] +{ + float2 return_xy = float2(texture_sample.x, texture_sample.y); + + return_xy = (return_xy + float2(1.0,1.0)) / float2(2.0,2.0); + + return float4( return_xy.x, return_xy.y, 0.0, 1.0 ); +} + +export float4 greyscale_texture_lookup( + float4 texture_sample = float4(0.0, 0.0, 0.0, 1.0) + ) +[[ + anno::description("Sampling a greyscale texture"), + anno::noinline() +]] +{ + return float4(texture_sample.x, texture_sample.x, texture_sample.x, texture_sample.x); +} + +export float3 pixel_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Pixel normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 vertex_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Vertex normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 landscape_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Landscape normal in world space") +]] +{ + float3 normalFromNormalmap = math::floor((::vertex_normal_world_space(up_z) * 0.5 + 0.5) * 255.0) / 255.0 * 2.0 - 1.0; + + float2 normalXY = float2(normalFromNormalmap.x, normalFromNormalmap.y); + return float3(normalXY.x, normalXY.y, math::sqrt(math::saturate(1.0 - math::dot(normalXY, normalXY)))); +} + +// Different implementation specific between mdl and hlsl for smoothstep +export float smoothstep(float a, float b, float l) +{ + if (a < b) + { + return math::smoothstep(a, b, l); + } + else if (a > b) + { + return 1.0 - math::smoothstep(b, a, l); + } + else + { + return l <= a ? 0.0 : 1.0; + } +} + +export float2 smoothstep(float2 a, float2 b, float2 l) +{ + return float2(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y)); +} + +export float3 smoothstep(float3 a, float3 b, float3 l) +{ + return float3(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z)); +} + +export float4 smoothstep(float4 a, float4 b, float4 l) +{ + return float4(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z), smoothstep(a.w, b.w, l.w)); +} + +export float2 smoothstep(float2 a, float2 b, float l) +{ + return float2(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l)); +} + +export float3 smoothstep(float3 a, float3 b, float l) +{ + return float3(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l)); +} + +export float4 smoothstep(float4 a, float4 b, float l) +{ + return float4(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l), smoothstep(a.w, b.w, l)); +} + +export float2 smoothstep(float a, float b, float2 l) +{ + return float2(smoothstep(a, b, l.x), smoothstep(a, b, l.y)); +} + +export float3 smoothstep(float a, float b, float3 l) +{ + return float3(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z)); +} + +export float4 smoothstep(float a, float b, float4 l) +{ + return float4(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z), smoothstep(a, b, l.w)); +} + +//------------------ Random from UE4 ----------------------- +float length2(float3 v) +{ + return math::dot(v, v); +} + +float3 GetPerlinNoiseGradientTextureAt(uniform texture_2d PerlinNoiseGradientTexture, float3 v) +{ + const float2 ZShear = float2(17.0f, 89.0f); + + float2 OffsetA = v.z * ZShear; + float2 TexA = (float2(v.x, v.y) + OffsetA + 0.5f) / 128.0f; + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA.x,1.0-TexA.y),tex::wrap_repeat,tex::wrap_repeat); + return float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z) * 2.0 - 1.0; +} + +float3 SkewSimplex(float3 In) +{ + return In + math::dot(In, float3(1.0 / 3.0f) ); +} +float3 UnSkewSimplex(float3 In) +{ + return In - math::dot(In, float3(1.0 / 6.0f) ); +} + +// 3D random number generator inspired by PCGs (permuted congruential generator) +// Using a **simple** Feistel cipher in place of the usual xor shift permutation step +// @param v = 3D integer coordinate +// @return three elements w/ 16 random bits each (0-0xffff). +// ~8 ALU operations for result.x (7 mad, 1 >>) +// ~10 ALU operations for result.xy (8 mad, 2 >>) +// ~12 ALU operations for result.xyz (9 mad, 3 >>) + +//TODO: uint3 +int3 Rand3DPCG16(int3 p) +{ + // taking a signed int then reinterpreting as unsigned gives good behavior for negatives + //TODO: uint3 + int3 v = int3(p); + + // Linear congruential step. These LCG constants are from Numerical Recipies + // For additional #'s, PCG would do multiple LCG steps and scramble each on output + // So v here is the RNG state + v = v * 1664525 + 1013904223; + + // PCG uses xorshift for the final shuffle, but it is expensive (and cheap + // versions of xorshift have visible artifacts). Instead, use simple MAD Feistel steps + // + // Feistel ciphers divide the state into separate parts (usually by bits) + // then apply a series of permutation steps one part at a time. The permutations + // use a reversible operation (usually ^) to part being updated with the result of + // a permutation function on the other parts and the key. + // + // In this case, I'm using v.x, v.y and v.z as the parts, using + instead of ^ for + // the combination function, and just multiplying the other two parts (no key) for + // the permutation function. + // + // That gives a simple mad per round. + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + + // only top 16 bits are well shuffled + return v >> 16; +} + +// Wraps noise for tiling texture creation +// @param v = unwrapped texture parameter +// @param bTiling = true to tile, false to not tile +// @param RepeatSize = number of units before repeating +// @return either original or wrapped coord +float3 NoiseTileWrap(float3 v, bool bTiling, float RepeatSize) +{ + return bTiling ? (math::frac(v / RepeatSize) * RepeatSize) : v; +} + +// Evaluate polynomial to get smooth transitions for Perlin noise +// only needed by Perlin functions in this file +// scalar(per component): 2 add, 5 mul +float4 PerlinRamp(float4 t) +{ + return t * t * t * (t * (t * 6 - 15) + 10); +} + +// Blum-Blum-Shub-inspired pseudo random number generator +// http://www.umbc.edu/~olano/papers/mNoise.pdf +// real BBS uses ((s*s) mod M) with bignums and M as the product of two huge Blum primes +// instead, we use a single prime M just small enough not to overflow +// note that the above paper used 61, which fits in a half, but is unusably bad +// @param Integer valued floating point seed +// @return random number in range [0,1) +// ~8 ALU operations (5 *, 3 frac) +float RandBBSfloat(float seed) +{ + float BBS_PRIME24 = 4093.0; + float s = math::frac(seed / BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + return s; +} + +// Modified noise gradient term +// @param seed - random seed for integer lattice position +// @param offset - [-1,1] offset of evaluation point from lattice point +// @return gradient direction (xyz) and contribution (w) from this lattice point +float4 MGradient(int seed, float3 offset) +{ + //TODO uint + int rand = Rand3DPCG16(int3(seed,0,0)).x; + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1.0 / 0x4000, 1.0 / 0x2000, 1.0 / 0x1000); + float3 direction = float3(int3(rand, rand, rand) & MGradientMask) * MGradientScale - 1; + return float4(direction.x, direction.y, direction.z, math::dot(direction, offset)); +} + +// compute Perlin and related noise corner seed values +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = true to return seed values for a repeating noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @param seed000-seed111 = hash function seeds for the eight corners +// @return fractional part of v +struct SeedValue +{ + float3 fv = float3(0); + float seed000 = 0; + float seed001 = 0; + float seed010 = 0; + float seed011 = 0; + float seed100 = 0; + float seed101 = 0; + float seed110 = 0; + float seed111 = 0; +}; + +SeedValue NoiseSeeds(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds; + seeds.fv = math::frac(v); + float3 iv = math::floor(v); + + const float3 primes = float3(19, 47, 101); + + if (bTiling) + { // can't algebraically combine with primes + seeds.seed000 = math::dot(primes, NoiseTileWrap(iv, true, RepeatSize)); + seeds.seed100 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 0), true, RepeatSize)); + seeds.seed010 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 0), true, RepeatSize)); + seeds.seed110 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 0), true, RepeatSize)); + seeds.seed001 = math::dot(primes, NoiseTileWrap(iv + float3(0, 0, 1), true, RepeatSize)); + seeds.seed101 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 1), true, RepeatSize)); + seeds.seed011 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 1), true, RepeatSize)); + seeds.seed111 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 1), true, RepeatSize)); + } + else + { // get to combine offsets with multiplication by primes in this case + seeds.seed000 = math::dot(iv, primes); + seeds.seed100 = seeds.seed000 + primes.x; + seeds.seed010 = seeds.seed000 + primes.y; + seeds.seed110 = seeds.seed100 + primes.y; + seeds.seed001 = seeds.seed000 + primes.z; + seeds.seed101 = seeds.seed100 + primes.z; + seeds.seed011 = seeds.seed010 + primes.z; + seeds.seed111 = seeds.seed110 + primes.z; + } + + return seeds; +} + +struct SimplexWeights +{ + float4 Result = float4(0); + float3 PosA = float3(0); + float3 PosB = float3(0); + float3 PosC = float3(0); + float3 PosD = float3(0); +}; + +// Computed weights and sample positions for simplex interpolation +// @return float4(a,b,c, d) Barycentric coordinate defined as Filtered = Tex(PosA) * a + Tex(PosB) * b + Tex(PosC) * c + Tex(PosD) * d +SimplexWeights ComputeSimplexWeights3D(float3 OrthogonalPos) +{ + SimplexWeights weights; + float3 OrthogonalPosFloor = math::floor(OrthogonalPos); + + weights.PosA = OrthogonalPosFloor; + weights.PosB = weights.PosA + float3(1, 1, 1); + + OrthogonalPos -= OrthogonalPosFloor; + + float Largest = math::max(OrthogonalPos.x, math::max(OrthogonalPos.y, OrthogonalPos.z)); + float Smallest = math::min(OrthogonalPos.x, math::min(OrthogonalPos.y, OrthogonalPos.z)); + + weights.PosC = weights.PosA + float3(Largest == OrthogonalPos.x, Largest == OrthogonalPos.y, Largest == OrthogonalPos.z); + weights.PosD = weights.PosA + float3(Smallest != OrthogonalPos.x, Smallest != OrthogonalPos.y, Smallest != OrthogonalPos.z); + + float RG = OrthogonalPos.x - OrthogonalPos.y; + float RB = OrthogonalPos.x - OrthogonalPos.z; + float GB = OrthogonalPos.y - OrthogonalPos.z; + + weights.Result.z = + math::min(math::max(0, RG), math::max(0, RB)) // X + + math::min(math::max(0, -RG), math::max(0, GB)) // Y + + math::min(math::max(0, -RB), math::max(0, -GB)); // Z + + weights.Result.w = + math::min(math::max(0, -RG), math::max(0, -RB)) // X + + math::min(math::max(0, RG), math::max(0, -GB)) // Y + + math::min(math::max(0, RB), math::max(0, GB)); // Z + + weights.Result.y = Smallest; + weights.Result.x = 1.0f - weights.Result.y - weights.Result.z - weights.Result.w; + + return weights; +} + +// filtered 3D gradient simple noise (few texture lookups, high quality) +// @param v >0 +// @return random number in the range -1 .. 1 +float SimplexNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 EvalPos) +{ + float3 OrthogonalPos = SkewSimplex(EvalPos); + + SimplexWeights Weights = ComputeSimplexWeights3D(OrthogonalPos); + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 32 bit) + float3 A = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosA); + float3 B = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosB); + float3 C = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosC); + float3 D = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosD); + + Weights.PosA = UnSkewSimplex(Weights.PosA); + Weights.PosB = UnSkewSimplex(Weights.PosB); + Weights.PosC = UnSkewSimplex(Weights.PosC); + Weights.PosD = UnSkewSimplex(Weights.PosD); + + float DistanceWeight; + + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosA)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float a = math::dot(A, EvalPos - Weights.PosA) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosB)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float b = math::dot(B, EvalPos - Weights.PosB) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosC)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float c = math::dot(C, EvalPos - Weights.PosC) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosD)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float d = math::dot(D, EvalPos - Weights.PosD) * DistanceWeight; + + return 32 * (a + b + c + d); +} + +// filtered 3D noise, can be optimized +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 v, bool bTiling, float RepeatSize) +{ + bTiling = true; + float3 fv = math::frac(v); + float3 iv0 = NoiseTileWrap(math::floor(v), bTiling, RepeatSize); + float3 iv1 = NoiseTileWrap(iv0 + 1, bTiling, RepeatSize); + + const int2 ZShear = int2(17, 89); + + float2 OffsetA = iv0.z * ZShear; + float2 OffsetB = OffsetA + ZShear; // non-tiling, use relative offset + if (bTiling) // tiling, have to compute from wrapped coordinates + { + OffsetB = iv1.z * ZShear; + } + + // Texture size scale factor + float ts = 1 / 128.0f; + + // texture coordinates for iv0.xy, as offset for both z slices + float2 TexA0 = (float2(iv0.x, iv0.y) + OffsetA + 0.5f) * ts; + float2 TexB0 = (float2(iv0.x, iv0.y) + OffsetB + 0.5f) * ts; + + // texture coordinates for iv1.xy, as offset for both z slices + float2 TexA1 = TexA0 + ts; // for non-tiling, can compute relative to existing coordinates + float2 TexB1 = TexB0 + ts; + if (bTiling) // for tiling, need to compute from wrapped coordinates + { + TexA1 = (float2(iv1.x, iv1.y) + OffsetA + 0.5f) * ts; + TexB1 = (float2(iv1.x, iv1.y) + OffsetB + 0.5f) * ts; + } + + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 8, 16 or 32 bit) + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 A = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 B = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 C = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 D = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 E = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 F = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 G = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 H = PerlinNoiseColor * 2 - 1; + + float a = math::dot(A, fv - float3(0, 0, 0)); + float b = math::dot(B, fv - float3(1, 0, 0)); + float c = math::dot(C, fv - float3(0, 1, 0)); + float d = math::dot(D, fv - float3(1, 1, 0)); + float e = math::dot(E, fv - float3(0, 0, 1)); + float f = math::dot(F, fv - float3(1, 0, 1)); + float g = math::dot(G, fv - float3(0, 1, 1)); + float h = math::dot(H, fv - float3(1, 1, 1)); + + float4 Weights = PerlinRamp(math::frac(float4(fv.x, fv.y, fv.z, 0))); + + float i = math::lerp(math::lerp(a, b, Weights.x), math::lerp(c, d, Weights.x), Weights.y); + float j = math::lerp(math::lerp(e, f, Weights.x), math::lerp(g, h, Weights.x), Weights.y); + + return math::lerp(i, j, Weights.z); +} + +// @return random number in the range -1 .. 1 +// scalar: 6 frac, 31 mul/mad, 15 add, +float FastGradientPerlinNoise3D_TEX(uniform texture_3d PerlinNoise3DTexture, float3 xyz) +{ + // needs to be the same value when creating the PerlinNoise3D texture + float Extent = 16; + + // last texel replicated and needed for filtering + // scalar: 3 frac, 6 mul + xyz = math::frac(xyz / (Extent - 1)) * (Extent - 1); + + // scalar: 3 frac + float3 uvw = math::frac(xyz); + // = floor(xyz); + // scalar: 3 add + float3 p0 = xyz - uvw; +// float3 f = math::pow(uvw, 2) * 3.0f - math::pow(uvw, 3) * 2.0f; // original perlin hermite (ok when used without bump mapping) + // scalar: 2*3 add 5*3 mul + float4 pr = PerlinRamp(float4(uvw.x, uvw.y, uvw.z, 0)); + float3 f = float3(pr.x, pr.y, pr.z); // new, better with continues second derivative for bump mapping + // scalar: 3 add + float3 p = p0 + f; + // scalar: 3 mad + // TODO: need reverse??? + float4 NoiseSample = tex::lookup_float4(PerlinNoise3DTexture, p / Extent + 0.5f / Extent); // +0.5f to get rid of bilinear offset + + // reconstruct from 8bit (using mad with 2 constants and dot4 was same instruction count) + // scalar: 4 mad, 3 mul, 3 add + float3 n = float3(NoiseSample.x, NoiseSample.y, NoiseSample.z) * 255.0f / 127.0f - 1.0f; + float d = NoiseSample.w * 255.f - 127; + return math::dot(xyz, n) - d; +} + +// Perlin-style "Modified Noise" +// http://www.umbc.edu/~olano/papers/index.html#mNoise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = MGradient(int(seeds.seed000), seeds.fv - float3(0, 0, 0)).w; + float rand100 = MGradient(int(seeds.seed100), seeds.fv - float3(1, 0, 0)).w; + float rand010 = MGradient(int(seeds.seed010), seeds.fv - float3(0, 1, 0)).w; + float rand110 = MGradient(int(seeds.seed110), seeds.fv - float3(1, 1, 0)).w; + float rand001 = MGradient(int(seeds.seed001), seeds.fv - float3(0, 0, 1)).w; + float rand101 = MGradient(int(seeds.seed101), seeds.fv - float3(1, 0, 1)).w; + float rand011 = MGradient(int(seeds.seed011), seeds.fv - float3(0, 1, 1)).w; + float rand111 = MGradient(int(seeds.seed111), seeds.fv - float3(1, 1, 1)).w; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D value noise - used to be incorrectly called Perlin noise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float ValueNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = RandBBSfloat(seeds.seed000) * 2 - 1; + float rand100 = RandBBSfloat(seeds.seed100) * 2 - 1; + float rand010 = RandBBSfloat(seeds.seed010) * 2 - 1; + float rand110 = RandBBSfloat(seeds.seed110) * 2 - 1; + float rand001 = RandBBSfloat(seeds.seed001) * 2 - 1; + float rand101 = RandBBSfloat(seeds.seed101) * 2 - 1; + float rand011 = RandBBSfloat(seeds.seed011) * 2 - 1; + float rand111 = RandBBSfloat(seeds.seed111) * 2 - 1; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D jitter offset within a voronoi noise cell +// @param pos - integer lattice corner +// @return random offsets vector +float3 VoronoiCornerSample(float3 pos, int Quality) +{ + // random values in [-0.5, 0.5] + float3 noise = float3(Rand3DPCG16(int3(pos))) / 0xffff - 0.5; + + // quality level 1 or 2: searches a 2x2x2 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 2x2x2 search + if (Quality <= 2) + { + return math::normalize(noise) * 0.2588; + } + + // quality level 3: searches a 3x3x3 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 3x3x3 search + if (Quality == 3) + { + return math::normalize(noise) * 0.3090; + } + + // quality level 4: jitter to anywhere in the cell, needs 4x4x4 search + return noise; +} + +// compare previous best with a new candidate +// not producing point locations makes it easier for compiler to eliminate calculations when they're not needed +// @param minval = location and distance of best candidate seed point before the new one +// @param candidate = candidate seed point +// @param offset = 3D offset to new candidate seed point +// @param bDistanceOnly = if true, only set maxval.w with distance, otherwise maxval.w is distance and maxval.xyz is position +// @return position (if bDistanceOnly is false) and distance to closest seed point so far +float4 VoronoiCompare(float4 minval, float3 candidate, float3 offset, bool bDistanceOnly) +{ + if (bDistanceOnly) + { + return float4(0, 0, 0, math::min(minval.w, math::dot(offset, offset))); + } + else + { + float newdist = math::dot(offset, offset); + return newdist > minval.w ? minval : float4(candidate.x, candidate.y, candidate.z, newdist); + } +} + +// 220 instruction Worley noise +float4 VoronoiNoise3D_ALU(float3 v, int Quality, bool bTiling, float RepeatSize, bool bDistanceOnly) +{ + float3 fv = math::frac(v), fv2 = math::frac(v + 0.5); + float3 iv = math::floor(v), iv2 = math::floor(v + 0.5); + + // with initial minimum distance = infinity (or at least bigger than 4), first min is optimized away + float4 mindist = float4(0,0,0,100); + float3 p, offset; + + // quality level 3: do a 3x3x3 search + if (Quality == 3) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 1; ++offset_x) + { + for (offset_y = -1; offset_y <= 1; ++offset_y) + { + for (offset_z = -1; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + + // everybody else searches a base 2x2x2 neighborhood + else + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = 0; offset_x <= 1; ++offset_x) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // quality level 2, do extra set of points, offset by half a cell + if (Quality == 2) + { + // 467 is just an offset to a different area in the random number field to avoid similar neighbor artifacts + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize) + 467, Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + } + + // quality level 4: add extra sets of four cells in each direction + if (Quality >= 4) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 2; offset_x += 3) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + // along x axis + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along y axis + p = float3(offset.y, offset.z, offset.x) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.y, offset.z, offset.x), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along z axis + p = float3(offset.z, offset.x, offset.y) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.z, offset.x, offset.y), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + } + } + } + } + + // transform squared distance to real distance + return float4(mindist.x, mindist.y, mindist.z, math::sqrt(mindist.w)); +} + +// Coordinates for corners of a Simplex tetrahedron +// Based on McEwan et al., Efficient computation of noise in GLSL, JGT 2011 +// @param v = 3D noise argument +// @return 4 corner locations +float4x3 SimplexCorners(float3 v) +{ + // find base corner by skewing to tetrahedral space and back + float3 tet = math::floor(v + v.x/3 + v.y/3 + v.z/3); + float3 base = tet - tet.x/6 - tet.y/6 - tet.z/6; + float3 f = v - base; + + // Find offsets to other corners (McEwan did this in tetrahedral space, + // but since skew is along x=y=z axis, this works in Euclidean space too.) + float3 g = math::step(float3(f.y,f.z,f.x), float3(f.x,f.y,f.z)), h = 1 - float3(g.z, g.x, g.y); + float3 a1 = math::min(g, h) - 1.0 / 6.0, a2 = math::max(g, h) - 1.0 / 3.0; + + // four corners + return float4x3(base, base + a1, base + a2, base + 0.5); +} + +// Improved smoothing function for simplex noise +// @param f = fractional distance to four tetrahedral corners +// @return weight for each corner +float4 SimplexSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + return (1 * scale + s*(-3 * scale + s*(3 * scale - s*scale))); +} + +// Derivative of simplex noise smoothing function +// @param f = fractional distanc eto four tetrahedral corners +// @return derivative of smoothing function for each corner by x, y and z +float3x4 SimplexDSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + s = -12 * scale + s*(24 * scale - s * 12 * scale); + + return float3x4( + s * float4(f[0][0], f[1][0], f[2][0], f[3][0]), + s * float4(f[0][1], f[1][1], f[2][1], f[3][1]), + s * float4(f[0][2], f[1][2], f[2][2], f[3][2])); +} + +// Simplex noise and its Jacobian derivative +// @param v = 3D noise argument +// @param bTiling = whether to repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension, must be a multiple of 3 +// @return float3x3 Jacobian in J[*].xyz, vector noise in J[*].w +// J[0].w, J[1].w, J[2].w is a Perlin-style simplex noise with vector output, e.g. (Nx, Ny, Nz) +// J[i].x is X derivative of the i'th component of the noise so J[2].x is dNz/dx +// You can use this to compute the noise, gradient, curl, or divergence: +// float3x4 J = JacobianSimplex_ALU(...); +// float3 VNoise = float3(J[0].w, J[1].w, J[2].w); // 3D noise +// float3 Grad = J[0].xyz; // gradient of J[0].w +// float3 Curl = float3(J[1][2]-J[2][1], J[2][0]-J[0][2], J[0][1]-J[1][2]); +// float Div = J[0][0]+J[1][1]+J[2][2]; +// All of these are confirmed to compile out all unneeded terms. +// So Grad of X doesn't compute Y or Z components, and VNoise doesn't do any of the derivative computation. +float3x4 JacobianSimplex_ALU(float3 v, bool bTiling, float RepeatSize) +{ + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1. / 0x4000, 1. / 0x2000, 1. / 0x1000); + + // corners of tetrahedron + float4x3 T = SimplexCorners(v); + // TODO: uint3 + int3 rand = int3(0); + float4x3 gvec0 = float4x3(1.0); + float4x3 gvec1 = float4x3(1.0); + float4x3 gvec2 = float4x3(1.0); + float4x3 fv = float4x3(1.0); + float3x4 grad = float3x4(1.0); + + // processing of tetrahedral vertices, unrolled + // to compute gradient at each corner + fv[0] = v - T[0]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[0] + 0.5, bTiling, RepeatSize)))); + gvec0[0] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[0] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[0] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][0] = math::dot(gvec0[0], fv[0]); + grad[1][0] = math::dot(gvec1[0], fv[0]); + grad[2][0] = math::dot(gvec2[0], fv[0]); + + fv[1] = v - T[1]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[1] + 0.5, bTiling, RepeatSize)))); + gvec0[1] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][1] = math::dot(gvec0[1], fv[1]); + grad[1][1] = math::dot(gvec1[1], fv[1]); + grad[2][1] = math::dot(gvec2[1], fv[1]); + + fv[2] = v - T[2]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[2] + 0.5, bTiling, RepeatSize)))); + gvec0[2] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[2] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[2] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][2] = math::dot(gvec0[2], fv[2]); + grad[1][2] = math::dot(gvec1[2], fv[2]); + grad[2][2] = math::dot(gvec2[2], fv[2]); + + fv[3] = v - T[3]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[3] + 0.5, bTiling, RepeatSize)))); + gvec0[3] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[3] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[3] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][3] = math::dot(gvec0[3], fv[3]); + grad[1][3] = math::dot(gvec1[3], fv[3]); + grad[2][3] = math::dot(gvec2[3], fv[3]); + + // blend gradients + float4 sv = SimplexSmooth(fv); + float3x4 ds = SimplexDSmooth(fv); + + float3x4 jacobian = float3x4(1.0); + float3 vec0 = gvec0*sv + grad[0]*ds; // NOTE: mdl is column major, convert from UE4 (row major) + jacobian[0] = float4(vec0.x, vec0.y, vec0.z, math::dot(sv, grad[0])); + float3 vec1 = gvec1*sv + grad[1]*ds; + jacobian[1] = float4(vec1.x, vec1.y, vec1.z, math::dot(sv, grad[1])); + float3 vec2 = gvec2*sv + grad[2]*ds; + jacobian[2] = float4(vec2.x, vec2.y, vec2.z, math::dot(sv, grad[2])); + + return jacobian; +} + +// While RepeatSize is a float here, the expectation is that it would be largely integer values coming in from the UI. The downstream logic assumes +// floats for all called functions (NoiseTileWrap) and this prevents any float-to-int conversion errors from automatic type conversion. +float Noise3D_Multiplexer(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, int Function, float3 Position, int Quality, bool bTiling, float RepeatSize) +{ + // verified, HLSL compiled out the switch if Function is a constant + switch(Function) + { + case 0: + return SimplexNoise3D_TEX(PerlinNoiseGradientTexture, Position); + case 1: + return GradientNoise3D_TEX(PerlinNoiseGradientTexture, Position, bTiling, RepeatSize); + case 2: + return FastGradientPerlinNoise3D_TEX(PerlinNoise3DTexture, Position); + case 3: + return GradientNoise3D_ALU(Position, bTiling, RepeatSize); + case 4: + return ValueNoise3D_ALU(Position, bTiling, RepeatSize); + case 5: + return VoronoiNoise3D_ALU(Position, Quality, bTiling, RepeatSize, true).w * 2.0 - 1.0; + } + return 0; +} +//---------------------------------------------------------- + +export float noise(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, float3 Position, float Scale, float Quality, float Function, float Turbulence, float Levels, float OutputMin, float OutputMax, float LevelScale, float FilterWidth, float Tiling, float RepeatSize) +[[ + anno::description("Noise"), + anno::noinline() +]] +{ + Position *= Scale; + FilterWidth *= Scale; + + float Out = 0.0f; + float OutScale = 1.0f; + float InvLevelScale = 1.0f / LevelScale; + + int iFunction(Function); + int iQuality(Quality); + int iLevels(Levels); + bool bTurbulence(Turbulence); + bool bTiling(Tiling); + + for(int i = 0; i < iLevels; ++i) + { + // fade out noise level that are too high frequent (not done through dynamic branching as it usually requires gradient instructions) + OutScale *= math::saturate(1.0 - FilterWidth); + + if(bTurbulence) + { + Out += math::abs(Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize)) * OutScale; + } + else + { + Out += Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize) * OutScale; + } + + Position *= LevelScale; + RepeatSize *= LevelScale; + OutScale *= InvLevelScale; + FilterWidth *= LevelScale; + } + + if(!bTurbulence) + { + // bring -1..1 to 0..1 range + Out = Out * 0.5f + 0.5f; + } + + // Out is in 0..1 range + return math::lerp(OutputMin, OutputMax, Out); +} + +// Material node for noise functions returning a vector value +// @param LevelScale usually 2 but higher values allow efficient use of few levels +// @return in user defined range (OutputMin..OutputMax) +export float4 vector4_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise"), + anno::noinline() +]] +{ + float4 result = float4(0,0,0,1); + float3 ret = float3(0); + int iQuality = int(Quality); + int iFunction = int(Function); + bool bTiling = Tiling > 0.0; + + float3x4 Jacobian = JacobianSimplex_ALU(Position, bTiling, TileSize); // compiled out if not used + + // verified, HLSL compiled out the switch if Function is a constant + switch (iFunction) + { + case 0: // Cellnoise + ret = float3(Rand3DPCG16(int3(math::floor(NoiseTileWrap(Position, bTiling, TileSize))))) / 0xffff; + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 1: // Color noise + ret = float3(Jacobian[0].w, Jacobian[1].w, Jacobian[2].w); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 2: // Gradient + result = Jacobian[0]; + break; + case 3: // Curl + ret = float3(Jacobian[2][1] - Jacobian[1][2], Jacobian[0][2] - Jacobian[2][0], Jacobian[1][0] - Jacobian[0][1]); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 4: // Voronoi + result = VoronoiNoise3D_ALU(Position, iQuality, bTiling, TileSize, false); + break; + } + return result; +} + +export float3 vector3_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise float3 version"), + anno::noinline() +]] +{ + float4 noise = vector4_noise(Position, Quality, Function, Tiling, TileSize); + return float3(noise.x, noise.y, noise.z); +} + + +// workaround for ue4 fresnel (without supporting for camera vector) : replacing it with 0.0, means facing to the view +export float fresnel(float exponent [[anno::unused()]], float base_reflect_fraction [[anno::unused()]], float3 normal [[anno::unused()]]) +[[ + anno::description("Fresnel"), + anno::noinline() +]] +{ + return 0.0; +} + +export float fresnel_function(float3 normal_vector [[anno::unused()]], float3 camera_vector [[anno::unused()]], + bool invert_fresnel [[anno::unused()]], float power [[anno::unused()]], + bool use_cheap_contrast [[anno::unused()]], float cheap_contrast_dark [[anno::unused()]], float cheap_contrast_bright [[anno::unused()]], + bool clamp_fresnel_dot_product [[anno::unused()]]) +[[ + anno::description("Fresnel Function"), + anno::noinline() +]] +{ + return 0.0; +} + +export float3 camera_vector(uniform bool up_z = true) +[[ + anno::description("Camera Vector"), + anno::noinline() +]] +{ + // assume camera postion is 0,0,0 + return math::normalize(float3(0) - convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)); +} + +export float pixel_depth() +[[ + anno::description("Pixel Depth"), + anno::noinline() +]] +{ + return 256.0f; +} + +export float scene_depth() +[[ + anno::description("Scene Depth") +]] +{ + return 65500.0f; +} + +export float3 scene_color() +[[ + anno::description("Scene Color") +]] +{ + return float3(1.0f); +} + +export float4 vertex_color() +[[ + anno::description("Vertex Color"), + anno::noinline() +]] +{ + return float4(1.0f); +} + +export float4 vertex_color_from_coordinate(int VertexColorCoordinateIndex) +[[ + anno::description("Vertex Color for float2 PrimVar"), + anno::noinline() +]] +{ + // Kit only supports 4 uv sets, 2 uvs are available to vertex color. if vertex color index is invalid, output the constant WHITE color intead + return (VertexColorCoordinateIndex > 2) ? float4(1.0f) : float4(state::texture_coordinate(VertexColorCoordinateIndex).x, state::texture_coordinate(VertexColorCoordinateIndex).y, state::texture_coordinate(VertexColorCoordinateIndex+1).x, state::texture_coordinate(VertexColorCoordinateIndex+1).y); +} + +export float3 camera_position() +[[ + anno::description("Camera Position"), + anno::noinline() +]] +{ + return float3(1000.0f, 0, 0); +} + +export float3 rotate_about_axis(float4 NormalizedRotationAxisAndAngle, float3 PositionOnAxis, float3 Position) +[[ + anno::description("Rotates Position about the given axis by the given angle") +]] +{ + // Project Position onto the rotation axis and find the closest point on the axis to Position + float3 NormalizedRotationAxis = float3(NormalizedRotationAxisAndAngle.x,NormalizedRotationAxisAndAngle.y,NormalizedRotationAxisAndAngle.z); + float3 ClosestPointOnAxis = PositionOnAxis + NormalizedRotationAxis * math::dot(NormalizedRotationAxis, Position - PositionOnAxis); + // Construct orthogonal axes in the plane of the rotation + float3 UAxis = Position - ClosestPointOnAxis; + float3 VAxis = math::cross(NormalizedRotationAxis, UAxis); + float[2] SinCosAngle = math::sincos(NormalizedRotationAxisAndAngle.w); + // Rotate using the orthogonal axes + float3 R = UAxis * SinCosAngle[1] + VAxis * SinCosAngle[0]; + // Reconstruct the rotated world space position + float3 RotatedPosition = ClosestPointOnAxis + R; + // Convert from position to a position offset + return RotatedPosition - Position; +} + +export float2 rotate_scale_offset_texcoords(float2 InTexCoords, float4 InRotationScale, float2 InOffset) +[[ + anno::description("Returns a float2 texture coordinate after 2x2 transform and offset applied") +]] +{ + return float2(math::dot(InTexCoords, float2(InRotationScale.x, InRotationScale.y)), math::dot(InTexCoords, float2(InRotationScale.z, InRotationScale.w))) + InOffset; +} + +export float3 reflection_custom_world_normal(float3 WorldNormal, bool bNormalizeInputNormal, uniform bool up_z = true) +[[ + anno::description("Reflection vector about the specified world space normal") +]] +{ + if (bNormalizeInputNormal) + { + WorldNormal = math::normalize(WorldNormal); + } + + return -camera_vector(up_z) + WorldNormal * math::dot(WorldNormal, camera_vector(up_z)) * 2.0; +} + +export float3 reflection_vector(uniform bool up_z = true) +[[ + anno::description("Reflection Vector"), + anno::noinline() +]] +{ + float3 normal = convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); + return reflection_custom_world_normal(normal, false, up_z); +} + +export float dither_temporalAA(float AlphaThreshold = 0.5f, float Random = 1.0f [[anno::unused()]]) +[[ + anno::description("Dither TemporalAA"), + anno::noinline() +]] +{ + return AlphaThreshold; +} + +export float3 black_body( float Temp ) +[[ + anno::description("Black Body"), + anno::noinline() +]] +{ + float u = ( 0.860117757f + 1.54118254e-4f * Temp + 1.28641212e-7f * Temp*Temp ) / ( 1.0f + 8.42420235e-4f * Temp + 7.08145163e-7f * Temp*Temp ); + float v = ( 0.317398726f + 4.22806245e-5f * Temp + 4.20481691e-8f * Temp*Temp ) / ( 1.0f - 2.89741816e-5f * Temp + 1.61456053e-7f * Temp*Temp ); + + float x = 3*u / ( 2*u - 8*v + 4 ); + float y = 2*v / ( 2*u - 8*v + 4 ); + float z = 1 - x - y; + + float Y = 1; + float X = Y/y * x; + float Z = Y/y * z; + + float3x3 XYZtoRGB = float3x3( + float3(3.2404542, -1.5371385, -0.4985314), + float3(-0.9692660, 1.8760108, 0.0415560), + float3(0.0556434, -0.2040259, 1.0572252) + ); + + return XYZtoRGB * float3( X, Y, Z ) * math::pow( 0.0004 * Temp, 4 ); +} + +export float per_instance_random(uniform texture_2d PerlinNoiseGradientTexture, int NumberInstances) +[[ + anno::description("Per Instance Random"), + anno::noinline() +]] +{ + float weight = state::object_id() / float(NumberInstances); + return NumberInstances == 0 ? 0.0 : tex::lookup_float4(PerlinNoiseGradientTexture, float2(weight, 1.0 - weight), tex::wrap_repeat, tex::wrap_repeat).x; +} + +//------------------ Hair from UE4 ----------------------- +float3 hair_absorption_to_color(float3 A) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::exp(-math::sqrt(A) * D); +} + +float3 hair_color_to_absorption(float3 C) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::pow(math::log(C) / D, 2.0f); +} + +export float3 get_hair_color_from_melanin(float InMelanin, float InRedness, float3 InDyeColor) +[[ + anno::description("Hair Color") +]] +{ + InMelanin = math::saturate(InMelanin); + InRedness = math::saturate(InRedness); + float Melanin = -math::log(math::max(1 - InMelanin, 0.0001f)); + float Eumelanin = Melanin * (1 - InRedness); + float Pheomelanin = Melanin * InRedness; + + float3 DyeAbsorption = hair_color_to_absorption(math::saturate(InDyeColor)); + float3 Absorption = Eumelanin * float3(0.506f, 0.841f, 1.653f) + Pheomelanin * float3(0.343f, 0.733f, 1.924f); + + return hair_absorption_to_color(Absorption + DyeAbsorption); +} + +export float3 local_object_bounds_min() +[[ + anno::description("Local Object Bounds Min"), + anno::noinline() +]] +{ + return float3(0.0); +} + +export float3 local_object_bounds_max() +[[ + anno::description("Local Object Bounds Max"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float3 object_bounds() +[[ + anno::description("Object Bounds"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float object_radius() +[[ + anno::description("Object Radius"), + anno::noinline() +]] +{ + return 100.0f; +} + +export float3 object_world_position(uniform bool up_z = true) +[[ + anno::description("Object World Position"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)*state::meters_per_scene_unit()*100.0; +} + +export float3 object_orientation() +[[ + anno::description("Object Orientation"), + anno::noinline() +]] +{ + return float3(0); +} + +export float rcp(float x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float2 rcp(float2 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float3 rcp(float3 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float4 rcp(float4 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export int BitFieldExtractI32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractI32 int"), + anno::noinline() +]] +{ + Size &= 3; + Offset &= 3; + + if (Size == 0) + return 0; + else if (Offset + Size < 32) + return (Data << (32 - Size - Offset)) >> (32 - Size); + else + return Data >> Offset; +} + +export int BitFieldExtractI32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractI32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(int(Data), int(Size), int(Offset)); +} + +export int BitFieldExtractU32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractU32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export int BitFieldExtractU32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractU32 int"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export float3 EyeAdaptationInverseLookup(float3 LightValue, float Alpha) +[[ + anno::description("EyeAdaptationInverseLookup"), + anno::noinline() +]] +{ + float Adaptation = 1.0f; + + // When Alpha=0.0, we want to multiply by 1.0. when Alpha = 1.0, we want to multiply by 1/Adaptation. + // So the lerped value is: + // LerpLogScale = Lerp(log(1),log(1/Adaptaiton),T) + // Which is simplified as: + // LerpLogScale = Lerp(0,-log(Adaptation),T) + // LerpLogScale = -T * logAdaptation; + + float LerpLogScale = -Alpha * math::log(Adaptation); + float Scale = math::exp(LerpLogScale); + return LightValue * Scale; +} diff --git a/Shelf/BP_StandardShelf9/Materials/Textures/TX_Fill_01a_ALB.png b/Shelf/BP_StandardShelf9/Materials/Textures/TX_Fill_01a_ALB.png new file mode 100644 index 0000000000000000000000000000000000000000..528019022ba7c89b855f7a4d2941210001fead06 --- /dev/null +++ b/Shelf/BP_StandardShelf9/Materials/Textures/TX_Fill_01a_ALB.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:fee342277b21693f79712651232e948e971704d1dad05a9c3419845133726030 +size 529 diff --git a/Shelf/BP_StandardShelf9/Materials/Textures/TX_Fill_01a_NRM.png b/Shelf/BP_StandardShelf9/Materials/Textures/TX_Fill_01a_NRM.png new file mode 100644 index 0000000000000000000000000000000000000000..bac643e168d6039f85cf61721c1430205801142b --- /dev/null +++ b/Shelf/BP_StandardShelf9/Materials/Textures/TX_Fill_01a_NRM.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:67da2ed33e060740fec6ec858fd8996f12c36cdfe7531e379855adb02e7d2126 +size 528 diff --git a/Shelf/BP_StandardShelf9/Materials/Textures/TX_Fill_01a_RMA.png b/Shelf/BP_StandardShelf9/Materials/Textures/TX_Fill_01a_RMA.png new file mode 100644 index 0000000000000000000000000000000000000000..9603bc776d81d5587769ca52357e9994e2f39327 --- /dev/null +++ b/Shelf/BP_StandardShelf9/Materials/Textures/TX_Fill_01a_RMA.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:964707e053aa985572045da96eb47c8491e621c681f45d01f80a623b06096b55 +size 529 diff --git a/Shelf/BP_StandardShelf9/Materials/Textures/TX_Shelf_05a_ALB.png b/Shelf/BP_StandardShelf9/Materials/Textures/TX_Shelf_05a_ALB.png new file mode 100644 index 0000000000000000000000000000000000000000..604a017607ad9331428d29a31d3d3a624afde561 --- /dev/null +++ b/Shelf/BP_StandardShelf9/Materials/Textures/TX_Shelf_05a_ALB.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:a9de20897ebf7b3cd38207eef4abfd077d672bb6389110fbfc24eef6cc836d20 +size 1064765 diff --git a/Shelf/BP_StandardShelf9/Materials/Textures/TX_Shelf_05a_NRM.png b/Shelf/BP_StandardShelf9/Materials/Textures/TX_Shelf_05a_NRM.png new file mode 100644 index 0000000000000000000000000000000000000000..a503be4d17efd647e69d70659af3386427235ab3 --- /dev/null +++ b/Shelf/BP_StandardShelf9/Materials/Textures/TX_Shelf_05a_NRM.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:befc1ef101c10ea3005efd367058e1ca9b16884311538ebf03c32288cce00f55 +size 2190203 diff --git a/Shelf/BP_StandardShelf9/Materials/Textures/TX_Shelf_05a_RMA.png b/Shelf/BP_StandardShelf9/Materials/Textures/TX_Shelf_05a_RMA.png new file mode 100644 index 0000000000000000000000000000000000000000..ce04bd5e54600e16bf06df7dc78e51da91cb120f --- /dev/null +++ b/Shelf/BP_StandardShelf9/Materials/Textures/TX_Shelf_05a_RMA.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:02777e94ceb57d93fe9fc046911d43a2fe67378939169c534a6f907ec1ad1ac0 +size 3709248 diff --git a/Shelf/BP_StandardShelf9/Props/BackPlate.usd b/Shelf/BP_StandardShelf9/Props/BackPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..dd41ec7c718b87625cc62b6a4f89eae0fc1a563d Binary files /dev/null and b/Shelf/BP_StandardShelf9/Props/BackPlate.usd differ diff --git a/Shelf/BP_StandardShelf9/Props/BasePlate.usd b/Shelf/BP_StandardShelf9/Props/BasePlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..a573e1bc8d24d5ce307c6c00d106510cbbbc25f3 Binary files /dev/null and b/Shelf/BP_StandardShelf9/Props/BasePlate.usd differ diff --git a/Shelf/BP_StandardShelf9/Props/HorizontalPlate.usd b/Shelf/BP_StandardShelf9/Props/HorizontalPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..b977da02053afdda80ebacecc425b6a94b11ce98 Binary files /dev/null and b/Shelf/BP_StandardShelf9/Props/HorizontalPlate.usd differ diff --git a/Shelf/BP_StandardShelf9/instance.usd b/Shelf/BP_StandardShelf9/instance.usd new file mode 100644 index 0000000000000000000000000000000000000000..b5e470e6e6ae86286889a28ab13413f45c1ead7f Binary files /dev/null and b/Shelf/BP_StandardShelf9/instance.usd differ diff --git a/Shelf/BP_StorageShelf/Materials/Textures/T_MarketBuilding_NRM.png b/Shelf/BP_StorageShelf/Materials/Textures/T_MarketBuilding_NRM.png new file mode 100644 index 0000000000000000000000000000000000000000..104fac57bc4e191186b9e97e9cc689cbd6293593 --- /dev/null +++ b/Shelf/BP_StorageShelf/Materials/Textures/T_MarketBuilding_NRM.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:9ef9aa23db43e63ca1292f6b1f5490eaed8aa0200ff3e44971c38941ae568d13 +size 28444246 diff --git a/Shelf/BP_StorageShelf2/Materials/MI_StorageShelf.mdl b/Shelf/BP_StorageShelf2/Materials/MI_StorageShelf.mdl new file mode 100644 index 0000000000000000000000000000000000000000..76a7b35bbb30f6f708701a3bdf8af0c43c084c12 --- /dev/null +++ b/Shelf/BP_StorageShelf2/Materials/MI_StorageShelf.mdl @@ -0,0 +1,99 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material MI_StorageShelf( + float Tile = 1.0 + [[ + anno::display_name("Tile"), + anno::ui_order(32), + anno::in_group("Textures") + ]], + uniform texture_2d Normal = texture_2d("./Textures/T_Default_N.png",::tex::gamma_linear) + [[ + anno::display_name("Normal"), + anno::ui_order(32), + anno::in_group("Textures"), + sampler_normal() + ]], + float NormalIntensity = 1.0 + [[ + anno::display_name("Normal Intensity"), + anno::ui_order(32), + anno::in_group("Textures") + ]], + float4 AlbedoColor = float4(1.0,1.0,1.0,1.0) + [[ + anno::display_name("Albedo Color"), + anno::ui_order(32), + anno::in_group("Coloring") + ]], + uniform texture_2d BaseColor = texture_2d("./Textures/T_Default_BC.png",::tex::gamma_srgb) + [[ + anno::display_name("Base Color"), + anno::ui_order(32), + anno::in_group("Textures"), + sampler_color() + ]], + uniform texture_2d RMAM = texture_2d("./Textures/T_Default_RMA.png",::tex::gamma_linear) + [[ + anno::display_name("RMAM"), + anno::ui_order(32), + anno::in_group("Textures"), + sampler_masks() + ]], + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + float2 Local0 = (CustomizedUV0_mdl * Tile); + float4 Local1 = ::unpack_normal_map(tex::lookup_float4(Normal,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat)); + float Local2 = (1.0 - NormalIntensity); + float3 Local3 = math::lerp(float3(Local1.x,Local1.y,Local1.z),float3(0.0,0.0,1.0),Local2); + + float3 Normal_mdl = Local3; + + float4 Local4 = tex::lookup_float4(BaseColor,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 Local5 = (float3(AlbedoColor.x,AlbedoColor.y,AlbedoColor.z) * float3(Local4.x,Local4.y,Local4.z)); + float4 Local6 = tex::lookup_float4(RMAM,float2(Local0.x,1.0-Local0.y),tex::wrap_repeat,tex::wrap_repeat); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float OpacityMask_mdl = 1.0; + float3 BaseColor_mdl = Local5; + float Metallic_mdl = Local6.y; + float Specular_mdl = 0.5; + float Roughness_mdl = Local6.x; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_StorageShelf2/Materials/OmniUe4Base.mdl b/Shelf/BP_StorageShelf2/Materials/OmniUe4Base.mdl new file mode 100644 index 0000000000000000000000000000000000000000..a441fbaf28040302c7aaabfbcf14b24a85bdf643 --- /dev/null +++ b/Shelf/BP_StorageShelf2/Materials/OmniUe4Base.mdl @@ -0,0 +1,224 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.0 - first version +//* 1.0.1 - merge unlit template +//* 1.0.2 - Fix EDF in the back side: the EDF contained in surface is only used for the front side and not for the back side +//* 1.0.3 - UE4 normal mapping: Geometry normal shouldn't be changed +//* 1.0.4 - using absolute import paths when importing standard modules + +mdl 1.3; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + +float emissive_multiplier() +[[ + anno::description("the multiplier to convert UE4 emissive to raw data"), + anno::noinline() +]] +{ + return 20.0f * 128.0f; +} + +float3 tangent_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in tangent space"), + anno::noinline() +]] +{ + return math::normalize( + tangent_u * normal.x - /* flip_tangent_v */ + tangent_v * normal.y + + state::normal() * (normal.z)); +} + +float3 world_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in world space"), + anno::noinline() +]] +{ + return tangent_space_normal( + math::normalize( + normal.x * float3(tangent_u.x, tangent_v.x, state::normal().x) - + normal.y * float3(tangent_u.y, tangent_v.y, state::normal().y) + + normal.z * float3(tangent_u.z, tangent_v.z, state::normal().z)), + tangent_u, + tangent_v + ); +} + +export material OmniUe4Base( + float3 base_color = float3(0.0, 0.0, 0.0), + float metallic = 0.0, + float roughness = 0.5, + float specular = 0.5, + float3 normal = float3(0.0,0.0,1.0), + float clearcoat_weight = 0.0, + float clearcoat_roughness = 0.0, + float3 clearcoat_normal = float3(0.0,0.0,1.0), + uniform bool enable_opacity = true, + float opacity = 1.0, + float3 emissive_color = float3(0.0, 0.0, 0.0), + float3 displacement = float3(0.0), + uniform bool is_tangent_space_normal = true, + uniform bool two_sided = false, + uniform bool is_unlit = false +) +[[ + anno::display_name("Omni UE4 Base"), + anno::description("Omni UE4 Base, supports UE4 default lit and clearcoat shading model"), + anno::version( 1, 0, 0), + anno::author("NVIDIA CORPORATION"), + anno::key_words(string[]("omni", "UE4", "omniverse", "lit", "clearcoat", "generic")) +]] + = let { + color final_base_color = math::saturate(base_color); + float final_metallic = math::saturate(metallic); + float final_roughness = math::saturate(roughness); + float final_specular = math::saturate(specular); + color final_emissive_color = math::max(emissive_color, 0.0f) * emissive_multiplier(); /*factor for converting ue4 emissive to raw value*/ + float final_clearcoat_weight = math::saturate(clearcoat_weight); + float final_clearcoat_roughness = math::saturate(clearcoat_roughness); + float3 final_normal = math::normalize(normal); + float3 final_clearcoat_normal = math::normalize(clearcoat_normal); + + // - compute final roughness by squaring the "roughness" parameter + float alpha = final_roughness * final_roughness; + // reduce the reflectivity at grazing angles to avoid "dark edges" for high roughness due to the layering + float grazing_refl = math::max((1.0 - final_roughness), 0.0); + + float3 the_normal = is_unlit ? state::normal() : + (is_tangent_space_normal ? + tangent_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + )); + + // for the dielectric component we layer the glossy component on top of the diffuse one, + // the glossy layer has no color tint + + bsdf dielectric_component = df::custom_curve_layer( + weight: final_specular, + normal_reflectivity: 0.08, + grazing_reflectivity: grazing_refl, + layer: df::microfacet_ggx_smith_bsdf(roughness_u: alpha), + base: df::diffuse_reflection_bsdf(tint: final_base_color), + normal: the_normal); + + // the metallic component doesn't have a diffuse component, it's only glossy + // base_color is applied to tint it + bsdf metallic_component = df::microfacet_ggx_smith_bsdf(tint: final_base_color, roughness_u: alpha); + + // final BSDF is a linear blend between dielectric and metallic component + bsdf dielectric_metal_mix = + df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: metallic_component, + weight: final_metallic), + df::bsdf_component( + component: dielectric_component, + weight: 1.0-final_metallic) + ) + ); + + // clearcoat layer + float clearcoat_grazing_refl = math::max((1.0 - final_clearcoat_roughness), 0.0); + float clearcoat_alpha = final_clearcoat_roughness * final_clearcoat_roughness; + + float3 the_clearcoat_normal = is_tangent_space_normal ? tangent_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ); + + + bsdf clearcoat = + df::custom_curve_layer( + base: df::weighted_layer( + layer: dielectric_metal_mix, + weight: 1.0, + normal: final_clearcoat_weight == 0.0 ? state::normal() : the_normal + ), + layer: df::microfacet_ggx_smith_bsdf( + roughness_u: clearcoat_alpha, + tint: color(1.0) + ), + normal_reflectivity: 0.04, + grazing_reflectivity: clearcoat_grazing_refl, + normal: the_clearcoat_normal, + weight: final_clearcoat_weight + ); + bsdf surface = is_unlit ? bsdf() : clearcoat; +} +in material( + thin_walled: two_sided, // Graphene? + surface: material_surface( + scattering: surface, + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + backface: material_surface( + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + geometry: material_geometry( + displacement: displacement, + normal: final_clearcoat_weight == 0.0 ? the_normal : state::normal(), + cutout_opacity: enable_opacity ? opacity : 1.0 + ) +); diff --git a/Shelf/BP_StorageShelf2/Materials/OmniUe4Function.mdl b/Shelf/BP_StorageShelf2/Materials/OmniUe4Function.mdl new file mode 100644 index 0000000000000000000000000000000000000000..84f4f0da48ff31d03ee611373fe3a4d2e04c9079 --- /dev/null +++ b/Shelf/BP_StorageShelf2/Materials/OmniUe4Function.mdl @@ -0,0 +1,1413 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.1 - using absolute import paths when importing standard modules + +mdl 1.6; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + + +export float3 convert_to_left_hand(float3 vec3, uniform bool up_z = true, uniform bool is_position = true) +[[ + anno::description("convert from RH to LH"), + anno::noinline() +]] +{ + float4x4 ZupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, -1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4x4 YupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4 vec4 = float4(vec3.x, vec3.y, vec3.z, is_position ? 1.0f : 0.0f); + + vec4 = vec4 * (up_z ? ZupConversion : YupConversion); + + return float3(vec4.x, vec4.y, vec4.z); +} + +export float3 transform_vector_from_tangent_to_world(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from tangent space to world space"), + anno::noinline() +]] +{ + /* flip_tangent_v */ + return convert_to_left_hand( + tangent_u * vector.x - tangent_v * vector.y + state::normal() * vector.z, + up_z, false); +} + +export float3 transform_vector_from_world_to_tangent(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from world space to tangent space"), + anno::noinline() +]] +{ + float3 vecRH = convert_to_left_hand(vector, up_z, false); + /* flip_tangent_v */ + return vecRH.x * float3(tangent_u.x, -tangent_v.x, state::normal().x) + + vecRH.y * float3(tangent_u.y, -tangent_v.y, state::normal().y) + + vecRH.z * float3(tangent_u.z, -tangent_v.z, state::normal().z); +} + +export float4 unpack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Unpack a normal stored in a normal map"), + anno::noinline() +]] +{ + float2 normal_xy = float2(texture_sample.x, texture_sample.y); + + normal_xy = normal_xy * float2(2.0,2.0) - float2(1.0,1.0); + float normal_z = math::sqrt( math::saturate( 1.0 - math::dot( normal_xy, normal_xy ) ) ); + return float4( normal_xy.x, normal_xy.y, normal_z, 1.0 ); +} + +// for get color value from normal. +export float4 pack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Pack to color from a normal") +]] +{ + float2 return_xy = float2(texture_sample.x, texture_sample.y); + + return_xy = (return_xy + float2(1.0,1.0)) / float2(2.0,2.0); + + return float4( return_xy.x, return_xy.y, 0.0, 1.0 ); +} + +export float4 greyscale_texture_lookup( + float4 texture_sample = float4(0.0, 0.0, 0.0, 1.0) + ) +[[ + anno::description("Sampling a greyscale texture"), + anno::noinline() +]] +{ + return float4(texture_sample.x, texture_sample.x, texture_sample.x, texture_sample.x); +} + +export float3 pixel_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Pixel normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 vertex_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Vertex normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 landscape_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Landscape normal in world space") +]] +{ + float3 normalFromNormalmap = math::floor((::vertex_normal_world_space(up_z) * 0.5 + 0.5) * 255.0) / 255.0 * 2.0 - 1.0; + + float2 normalXY = float2(normalFromNormalmap.x, normalFromNormalmap.y); + return float3(normalXY.x, normalXY.y, math::sqrt(math::saturate(1.0 - math::dot(normalXY, normalXY)))); +} + +// Different implementation specific between mdl and hlsl for smoothstep +export float smoothstep(float a, float b, float l) +{ + if (a < b) + { + return math::smoothstep(a, b, l); + } + else if (a > b) + { + return 1.0 - math::smoothstep(b, a, l); + } + else + { + return l <= a ? 0.0 : 1.0; + } +} + +export float2 smoothstep(float2 a, float2 b, float2 l) +{ + return float2(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y)); +} + +export float3 smoothstep(float3 a, float3 b, float3 l) +{ + return float3(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z)); +} + +export float4 smoothstep(float4 a, float4 b, float4 l) +{ + return float4(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z), smoothstep(a.w, b.w, l.w)); +} + +export float2 smoothstep(float2 a, float2 b, float l) +{ + return float2(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l)); +} + +export float3 smoothstep(float3 a, float3 b, float l) +{ + return float3(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l)); +} + +export float4 smoothstep(float4 a, float4 b, float l) +{ + return float4(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l), smoothstep(a.w, b.w, l)); +} + +export float2 smoothstep(float a, float b, float2 l) +{ + return float2(smoothstep(a, b, l.x), smoothstep(a, b, l.y)); +} + +export float3 smoothstep(float a, float b, float3 l) +{ + return float3(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z)); +} + +export float4 smoothstep(float a, float b, float4 l) +{ + return float4(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z), smoothstep(a, b, l.w)); +} + +//------------------ Random from UE4 ----------------------- +float length2(float3 v) +{ + return math::dot(v, v); +} + +float3 GetPerlinNoiseGradientTextureAt(uniform texture_2d PerlinNoiseGradientTexture, float3 v) +{ + const float2 ZShear = float2(17.0f, 89.0f); + + float2 OffsetA = v.z * ZShear; + float2 TexA = (float2(v.x, v.y) + OffsetA + 0.5f) / 128.0f; + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA.x,1.0-TexA.y),tex::wrap_repeat,tex::wrap_repeat); + return float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z) * 2.0 - 1.0; +} + +float3 SkewSimplex(float3 In) +{ + return In + math::dot(In, float3(1.0 / 3.0f) ); +} +float3 UnSkewSimplex(float3 In) +{ + return In - math::dot(In, float3(1.0 / 6.0f) ); +} + +// 3D random number generator inspired by PCGs (permuted congruential generator) +// Using a **simple** Feistel cipher in place of the usual xor shift permutation step +// @param v = 3D integer coordinate +// @return three elements w/ 16 random bits each (0-0xffff). +// ~8 ALU operations for result.x (7 mad, 1 >>) +// ~10 ALU operations for result.xy (8 mad, 2 >>) +// ~12 ALU operations for result.xyz (9 mad, 3 >>) + +//TODO: uint3 +int3 Rand3DPCG16(int3 p) +{ + // taking a signed int then reinterpreting as unsigned gives good behavior for negatives + //TODO: uint3 + int3 v = int3(p); + + // Linear congruential step. These LCG constants are from Numerical Recipies + // For additional #'s, PCG would do multiple LCG steps and scramble each on output + // So v here is the RNG state + v = v * 1664525 + 1013904223; + + // PCG uses xorshift for the final shuffle, but it is expensive (and cheap + // versions of xorshift have visible artifacts). Instead, use simple MAD Feistel steps + // + // Feistel ciphers divide the state into separate parts (usually by bits) + // then apply a series of permutation steps one part at a time. The permutations + // use a reversible operation (usually ^) to part being updated with the result of + // a permutation function on the other parts and the key. + // + // In this case, I'm using v.x, v.y and v.z as the parts, using + instead of ^ for + // the combination function, and just multiplying the other two parts (no key) for + // the permutation function. + // + // That gives a simple mad per round. + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + + // only top 16 bits are well shuffled + return v >> 16; +} + +// Wraps noise for tiling texture creation +// @param v = unwrapped texture parameter +// @param bTiling = true to tile, false to not tile +// @param RepeatSize = number of units before repeating +// @return either original or wrapped coord +float3 NoiseTileWrap(float3 v, bool bTiling, float RepeatSize) +{ + return bTiling ? (math::frac(v / RepeatSize) * RepeatSize) : v; +} + +// Evaluate polynomial to get smooth transitions for Perlin noise +// only needed by Perlin functions in this file +// scalar(per component): 2 add, 5 mul +float4 PerlinRamp(float4 t) +{ + return t * t * t * (t * (t * 6 - 15) + 10); +} + +// Blum-Blum-Shub-inspired pseudo random number generator +// http://www.umbc.edu/~olano/papers/mNoise.pdf +// real BBS uses ((s*s) mod M) with bignums and M as the product of two huge Blum primes +// instead, we use a single prime M just small enough not to overflow +// note that the above paper used 61, which fits in a half, but is unusably bad +// @param Integer valued floating point seed +// @return random number in range [0,1) +// ~8 ALU operations (5 *, 3 frac) +float RandBBSfloat(float seed) +{ + float BBS_PRIME24 = 4093.0; + float s = math::frac(seed / BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + return s; +} + +// Modified noise gradient term +// @param seed - random seed for integer lattice position +// @param offset - [-1,1] offset of evaluation point from lattice point +// @return gradient direction (xyz) and contribution (w) from this lattice point +float4 MGradient(int seed, float3 offset) +{ + //TODO uint + int rand = Rand3DPCG16(int3(seed,0,0)).x; + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1.0 / 0x4000, 1.0 / 0x2000, 1.0 / 0x1000); + float3 direction = float3(int3(rand, rand, rand) & MGradientMask) * MGradientScale - 1; + return float4(direction.x, direction.y, direction.z, math::dot(direction, offset)); +} + +// compute Perlin and related noise corner seed values +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = true to return seed values for a repeating noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @param seed000-seed111 = hash function seeds for the eight corners +// @return fractional part of v +struct SeedValue +{ + float3 fv = float3(0); + float seed000 = 0; + float seed001 = 0; + float seed010 = 0; + float seed011 = 0; + float seed100 = 0; + float seed101 = 0; + float seed110 = 0; + float seed111 = 0; +}; + +SeedValue NoiseSeeds(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds; + seeds.fv = math::frac(v); + float3 iv = math::floor(v); + + const float3 primes = float3(19, 47, 101); + + if (bTiling) + { // can't algebraically combine with primes + seeds.seed000 = math::dot(primes, NoiseTileWrap(iv, true, RepeatSize)); + seeds.seed100 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 0), true, RepeatSize)); + seeds.seed010 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 0), true, RepeatSize)); + seeds.seed110 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 0), true, RepeatSize)); + seeds.seed001 = math::dot(primes, NoiseTileWrap(iv + float3(0, 0, 1), true, RepeatSize)); + seeds.seed101 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 1), true, RepeatSize)); + seeds.seed011 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 1), true, RepeatSize)); + seeds.seed111 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 1), true, RepeatSize)); + } + else + { // get to combine offsets with multiplication by primes in this case + seeds.seed000 = math::dot(iv, primes); + seeds.seed100 = seeds.seed000 + primes.x; + seeds.seed010 = seeds.seed000 + primes.y; + seeds.seed110 = seeds.seed100 + primes.y; + seeds.seed001 = seeds.seed000 + primes.z; + seeds.seed101 = seeds.seed100 + primes.z; + seeds.seed011 = seeds.seed010 + primes.z; + seeds.seed111 = seeds.seed110 + primes.z; + } + + return seeds; +} + +struct SimplexWeights +{ + float4 Result = float4(0); + float3 PosA = float3(0); + float3 PosB = float3(0); + float3 PosC = float3(0); + float3 PosD = float3(0); +}; + +// Computed weights and sample positions for simplex interpolation +// @return float4(a,b,c, d) Barycentric coordinate defined as Filtered = Tex(PosA) * a + Tex(PosB) * b + Tex(PosC) * c + Tex(PosD) * d +SimplexWeights ComputeSimplexWeights3D(float3 OrthogonalPos) +{ + SimplexWeights weights; + float3 OrthogonalPosFloor = math::floor(OrthogonalPos); + + weights.PosA = OrthogonalPosFloor; + weights.PosB = weights.PosA + float3(1, 1, 1); + + OrthogonalPos -= OrthogonalPosFloor; + + float Largest = math::max(OrthogonalPos.x, math::max(OrthogonalPos.y, OrthogonalPos.z)); + float Smallest = math::min(OrthogonalPos.x, math::min(OrthogonalPos.y, OrthogonalPos.z)); + + weights.PosC = weights.PosA + float3(Largest == OrthogonalPos.x, Largest == OrthogonalPos.y, Largest == OrthogonalPos.z); + weights.PosD = weights.PosA + float3(Smallest != OrthogonalPos.x, Smallest != OrthogonalPos.y, Smallest != OrthogonalPos.z); + + float RG = OrthogonalPos.x - OrthogonalPos.y; + float RB = OrthogonalPos.x - OrthogonalPos.z; + float GB = OrthogonalPos.y - OrthogonalPos.z; + + weights.Result.z = + math::min(math::max(0, RG), math::max(0, RB)) // X + + math::min(math::max(0, -RG), math::max(0, GB)) // Y + + math::min(math::max(0, -RB), math::max(0, -GB)); // Z + + weights.Result.w = + math::min(math::max(0, -RG), math::max(0, -RB)) // X + + math::min(math::max(0, RG), math::max(0, -GB)) // Y + + math::min(math::max(0, RB), math::max(0, GB)); // Z + + weights.Result.y = Smallest; + weights.Result.x = 1.0f - weights.Result.y - weights.Result.z - weights.Result.w; + + return weights; +} + +// filtered 3D gradient simple noise (few texture lookups, high quality) +// @param v >0 +// @return random number in the range -1 .. 1 +float SimplexNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 EvalPos) +{ + float3 OrthogonalPos = SkewSimplex(EvalPos); + + SimplexWeights Weights = ComputeSimplexWeights3D(OrthogonalPos); + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 32 bit) + float3 A = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosA); + float3 B = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosB); + float3 C = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosC); + float3 D = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosD); + + Weights.PosA = UnSkewSimplex(Weights.PosA); + Weights.PosB = UnSkewSimplex(Weights.PosB); + Weights.PosC = UnSkewSimplex(Weights.PosC); + Weights.PosD = UnSkewSimplex(Weights.PosD); + + float DistanceWeight; + + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosA)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float a = math::dot(A, EvalPos - Weights.PosA) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosB)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float b = math::dot(B, EvalPos - Weights.PosB) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosC)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float c = math::dot(C, EvalPos - Weights.PosC) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosD)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float d = math::dot(D, EvalPos - Weights.PosD) * DistanceWeight; + + return 32 * (a + b + c + d); +} + +// filtered 3D noise, can be optimized +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 v, bool bTiling, float RepeatSize) +{ + bTiling = true; + float3 fv = math::frac(v); + float3 iv0 = NoiseTileWrap(math::floor(v), bTiling, RepeatSize); + float3 iv1 = NoiseTileWrap(iv0 + 1, bTiling, RepeatSize); + + const int2 ZShear = int2(17, 89); + + float2 OffsetA = iv0.z * ZShear; + float2 OffsetB = OffsetA + ZShear; // non-tiling, use relative offset + if (bTiling) // tiling, have to compute from wrapped coordinates + { + OffsetB = iv1.z * ZShear; + } + + // Texture size scale factor + float ts = 1 / 128.0f; + + // texture coordinates for iv0.xy, as offset for both z slices + float2 TexA0 = (float2(iv0.x, iv0.y) + OffsetA + 0.5f) * ts; + float2 TexB0 = (float2(iv0.x, iv0.y) + OffsetB + 0.5f) * ts; + + // texture coordinates for iv1.xy, as offset for both z slices + float2 TexA1 = TexA0 + ts; // for non-tiling, can compute relative to existing coordinates + float2 TexB1 = TexB0 + ts; + if (bTiling) // for tiling, need to compute from wrapped coordinates + { + TexA1 = (float2(iv1.x, iv1.y) + OffsetA + 0.5f) * ts; + TexB1 = (float2(iv1.x, iv1.y) + OffsetB + 0.5f) * ts; + } + + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 8, 16 or 32 bit) + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 A = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 B = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 C = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 D = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 E = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 F = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 G = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 H = PerlinNoiseColor * 2 - 1; + + float a = math::dot(A, fv - float3(0, 0, 0)); + float b = math::dot(B, fv - float3(1, 0, 0)); + float c = math::dot(C, fv - float3(0, 1, 0)); + float d = math::dot(D, fv - float3(1, 1, 0)); + float e = math::dot(E, fv - float3(0, 0, 1)); + float f = math::dot(F, fv - float3(1, 0, 1)); + float g = math::dot(G, fv - float3(0, 1, 1)); + float h = math::dot(H, fv - float3(1, 1, 1)); + + float4 Weights = PerlinRamp(math::frac(float4(fv.x, fv.y, fv.z, 0))); + + float i = math::lerp(math::lerp(a, b, Weights.x), math::lerp(c, d, Weights.x), Weights.y); + float j = math::lerp(math::lerp(e, f, Weights.x), math::lerp(g, h, Weights.x), Weights.y); + + return math::lerp(i, j, Weights.z); +} + +// @return random number in the range -1 .. 1 +// scalar: 6 frac, 31 mul/mad, 15 add, +float FastGradientPerlinNoise3D_TEX(uniform texture_3d PerlinNoise3DTexture, float3 xyz) +{ + // needs to be the same value when creating the PerlinNoise3D texture + float Extent = 16; + + // last texel replicated and needed for filtering + // scalar: 3 frac, 6 mul + xyz = math::frac(xyz / (Extent - 1)) * (Extent - 1); + + // scalar: 3 frac + float3 uvw = math::frac(xyz); + // = floor(xyz); + // scalar: 3 add + float3 p0 = xyz - uvw; +// float3 f = math::pow(uvw, 2) * 3.0f - math::pow(uvw, 3) * 2.0f; // original perlin hermite (ok when used without bump mapping) + // scalar: 2*3 add 5*3 mul + float4 pr = PerlinRamp(float4(uvw.x, uvw.y, uvw.z, 0)); + float3 f = float3(pr.x, pr.y, pr.z); // new, better with continues second derivative for bump mapping + // scalar: 3 add + float3 p = p0 + f; + // scalar: 3 mad + // TODO: need reverse??? + float4 NoiseSample = tex::lookup_float4(PerlinNoise3DTexture, p / Extent + 0.5f / Extent); // +0.5f to get rid of bilinear offset + + // reconstruct from 8bit (using mad with 2 constants and dot4 was same instruction count) + // scalar: 4 mad, 3 mul, 3 add + float3 n = float3(NoiseSample.x, NoiseSample.y, NoiseSample.z) * 255.0f / 127.0f - 1.0f; + float d = NoiseSample.w * 255.f - 127; + return math::dot(xyz, n) - d; +} + +// Perlin-style "Modified Noise" +// http://www.umbc.edu/~olano/papers/index.html#mNoise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = MGradient(int(seeds.seed000), seeds.fv - float3(0, 0, 0)).w; + float rand100 = MGradient(int(seeds.seed100), seeds.fv - float3(1, 0, 0)).w; + float rand010 = MGradient(int(seeds.seed010), seeds.fv - float3(0, 1, 0)).w; + float rand110 = MGradient(int(seeds.seed110), seeds.fv - float3(1, 1, 0)).w; + float rand001 = MGradient(int(seeds.seed001), seeds.fv - float3(0, 0, 1)).w; + float rand101 = MGradient(int(seeds.seed101), seeds.fv - float3(1, 0, 1)).w; + float rand011 = MGradient(int(seeds.seed011), seeds.fv - float3(0, 1, 1)).w; + float rand111 = MGradient(int(seeds.seed111), seeds.fv - float3(1, 1, 1)).w; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D value noise - used to be incorrectly called Perlin noise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float ValueNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = RandBBSfloat(seeds.seed000) * 2 - 1; + float rand100 = RandBBSfloat(seeds.seed100) * 2 - 1; + float rand010 = RandBBSfloat(seeds.seed010) * 2 - 1; + float rand110 = RandBBSfloat(seeds.seed110) * 2 - 1; + float rand001 = RandBBSfloat(seeds.seed001) * 2 - 1; + float rand101 = RandBBSfloat(seeds.seed101) * 2 - 1; + float rand011 = RandBBSfloat(seeds.seed011) * 2 - 1; + float rand111 = RandBBSfloat(seeds.seed111) * 2 - 1; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D jitter offset within a voronoi noise cell +// @param pos - integer lattice corner +// @return random offsets vector +float3 VoronoiCornerSample(float3 pos, int Quality) +{ + // random values in [-0.5, 0.5] + float3 noise = float3(Rand3DPCG16(int3(pos))) / 0xffff - 0.5; + + // quality level 1 or 2: searches a 2x2x2 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 2x2x2 search + if (Quality <= 2) + { + return math::normalize(noise) * 0.2588; + } + + // quality level 3: searches a 3x3x3 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 3x3x3 search + if (Quality == 3) + { + return math::normalize(noise) * 0.3090; + } + + // quality level 4: jitter to anywhere in the cell, needs 4x4x4 search + return noise; +} + +// compare previous best with a new candidate +// not producing point locations makes it easier for compiler to eliminate calculations when they're not needed +// @param minval = location and distance of best candidate seed point before the new one +// @param candidate = candidate seed point +// @param offset = 3D offset to new candidate seed point +// @param bDistanceOnly = if true, only set maxval.w with distance, otherwise maxval.w is distance and maxval.xyz is position +// @return position (if bDistanceOnly is false) and distance to closest seed point so far +float4 VoronoiCompare(float4 minval, float3 candidate, float3 offset, bool bDistanceOnly) +{ + if (bDistanceOnly) + { + return float4(0, 0, 0, math::min(minval.w, math::dot(offset, offset))); + } + else + { + float newdist = math::dot(offset, offset); + return newdist > minval.w ? minval : float4(candidate.x, candidate.y, candidate.z, newdist); + } +} + +// 220 instruction Worley noise +float4 VoronoiNoise3D_ALU(float3 v, int Quality, bool bTiling, float RepeatSize, bool bDistanceOnly) +{ + float3 fv = math::frac(v), fv2 = math::frac(v + 0.5); + float3 iv = math::floor(v), iv2 = math::floor(v + 0.5); + + // with initial minimum distance = infinity (or at least bigger than 4), first min is optimized away + float4 mindist = float4(0,0,0,100); + float3 p, offset; + + // quality level 3: do a 3x3x3 search + if (Quality == 3) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 1; ++offset_x) + { + for (offset_y = -1; offset_y <= 1; ++offset_y) + { + for (offset_z = -1; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + + // everybody else searches a base 2x2x2 neighborhood + else + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = 0; offset_x <= 1; ++offset_x) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // quality level 2, do extra set of points, offset by half a cell + if (Quality == 2) + { + // 467 is just an offset to a different area in the random number field to avoid similar neighbor artifacts + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize) + 467, Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + } + + // quality level 4: add extra sets of four cells in each direction + if (Quality >= 4) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 2; offset_x += 3) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + // along x axis + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along y axis + p = float3(offset.y, offset.z, offset.x) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.y, offset.z, offset.x), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along z axis + p = float3(offset.z, offset.x, offset.y) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.z, offset.x, offset.y), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + } + } + } + } + + // transform squared distance to real distance + return float4(mindist.x, mindist.y, mindist.z, math::sqrt(mindist.w)); +} + +// Coordinates for corners of a Simplex tetrahedron +// Based on McEwan et al., Efficient computation of noise in GLSL, JGT 2011 +// @param v = 3D noise argument +// @return 4 corner locations +float4x3 SimplexCorners(float3 v) +{ + // find base corner by skewing to tetrahedral space and back + float3 tet = math::floor(v + v.x/3 + v.y/3 + v.z/3); + float3 base = tet - tet.x/6 - tet.y/6 - tet.z/6; + float3 f = v - base; + + // Find offsets to other corners (McEwan did this in tetrahedral space, + // but since skew is along x=y=z axis, this works in Euclidean space too.) + float3 g = math::step(float3(f.y,f.z,f.x), float3(f.x,f.y,f.z)), h = 1 - float3(g.z, g.x, g.y); + float3 a1 = math::min(g, h) - 1.0 / 6.0, a2 = math::max(g, h) - 1.0 / 3.0; + + // four corners + return float4x3(base, base + a1, base + a2, base + 0.5); +} + +// Improved smoothing function for simplex noise +// @param f = fractional distance to four tetrahedral corners +// @return weight for each corner +float4 SimplexSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + return (1 * scale + s*(-3 * scale + s*(3 * scale - s*scale))); +} + +// Derivative of simplex noise smoothing function +// @param f = fractional distanc eto four tetrahedral corners +// @return derivative of smoothing function for each corner by x, y and z +float3x4 SimplexDSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + s = -12 * scale + s*(24 * scale - s * 12 * scale); + + return float3x4( + s * float4(f[0][0], f[1][0], f[2][0], f[3][0]), + s * float4(f[0][1], f[1][1], f[2][1], f[3][1]), + s * float4(f[0][2], f[1][2], f[2][2], f[3][2])); +} + +// Simplex noise and its Jacobian derivative +// @param v = 3D noise argument +// @param bTiling = whether to repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension, must be a multiple of 3 +// @return float3x3 Jacobian in J[*].xyz, vector noise in J[*].w +// J[0].w, J[1].w, J[2].w is a Perlin-style simplex noise with vector output, e.g. (Nx, Ny, Nz) +// J[i].x is X derivative of the i'th component of the noise so J[2].x is dNz/dx +// You can use this to compute the noise, gradient, curl, or divergence: +// float3x4 J = JacobianSimplex_ALU(...); +// float3 VNoise = float3(J[0].w, J[1].w, J[2].w); // 3D noise +// float3 Grad = J[0].xyz; // gradient of J[0].w +// float3 Curl = float3(J[1][2]-J[2][1], J[2][0]-J[0][2], J[0][1]-J[1][2]); +// float Div = J[0][0]+J[1][1]+J[2][2]; +// All of these are confirmed to compile out all unneeded terms. +// So Grad of X doesn't compute Y or Z components, and VNoise doesn't do any of the derivative computation. +float3x4 JacobianSimplex_ALU(float3 v, bool bTiling, float RepeatSize) +{ + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1. / 0x4000, 1. / 0x2000, 1. / 0x1000); + + // corners of tetrahedron + float4x3 T = SimplexCorners(v); + // TODO: uint3 + int3 rand = int3(0); + float4x3 gvec0 = float4x3(1.0); + float4x3 gvec1 = float4x3(1.0); + float4x3 gvec2 = float4x3(1.0); + float4x3 fv = float4x3(1.0); + float3x4 grad = float3x4(1.0); + + // processing of tetrahedral vertices, unrolled + // to compute gradient at each corner + fv[0] = v - T[0]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[0] + 0.5, bTiling, RepeatSize)))); + gvec0[0] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[0] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[0] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][0] = math::dot(gvec0[0], fv[0]); + grad[1][0] = math::dot(gvec1[0], fv[0]); + grad[2][0] = math::dot(gvec2[0], fv[0]); + + fv[1] = v - T[1]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[1] + 0.5, bTiling, RepeatSize)))); + gvec0[1] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][1] = math::dot(gvec0[1], fv[1]); + grad[1][1] = math::dot(gvec1[1], fv[1]); + grad[2][1] = math::dot(gvec2[1], fv[1]); + + fv[2] = v - T[2]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[2] + 0.5, bTiling, RepeatSize)))); + gvec0[2] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[2] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[2] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][2] = math::dot(gvec0[2], fv[2]); + grad[1][2] = math::dot(gvec1[2], fv[2]); + grad[2][2] = math::dot(gvec2[2], fv[2]); + + fv[3] = v - T[3]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[3] + 0.5, bTiling, RepeatSize)))); + gvec0[3] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[3] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[3] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][3] = math::dot(gvec0[3], fv[3]); + grad[1][3] = math::dot(gvec1[3], fv[3]); + grad[2][3] = math::dot(gvec2[3], fv[3]); + + // blend gradients + float4 sv = SimplexSmooth(fv); + float3x4 ds = SimplexDSmooth(fv); + + float3x4 jacobian = float3x4(1.0); + float3 vec0 = gvec0*sv + grad[0]*ds; // NOTE: mdl is column major, convert from UE4 (row major) + jacobian[0] = float4(vec0.x, vec0.y, vec0.z, math::dot(sv, grad[0])); + float3 vec1 = gvec1*sv + grad[1]*ds; + jacobian[1] = float4(vec1.x, vec1.y, vec1.z, math::dot(sv, grad[1])); + float3 vec2 = gvec2*sv + grad[2]*ds; + jacobian[2] = float4(vec2.x, vec2.y, vec2.z, math::dot(sv, grad[2])); + + return jacobian; +} + +// While RepeatSize is a float here, the expectation is that it would be largely integer values coming in from the UI. The downstream logic assumes +// floats for all called functions (NoiseTileWrap) and this prevents any float-to-int conversion errors from automatic type conversion. +float Noise3D_Multiplexer(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, int Function, float3 Position, int Quality, bool bTiling, float RepeatSize) +{ + // verified, HLSL compiled out the switch if Function is a constant + switch(Function) + { + case 0: + return SimplexNoise3D_TEX(PerlinNoiseGradientTexture, Position); + case 1: + return GradientNoise3D_TEX(PerlinNoiseGradientTexture, Position, bTiling, RepeatSize); + case 2: + return FastGradientPerlinNoise3D_TEX(PerlinNoise3DTexture, Position); + case 3: + return GradientNoise3D_ALU(Position, bTiling, RepeatSize); + case 4: + return ValueNoise3D_ALU(Position, bTiling, RepeatSize); + case 5: + return VoronoiNoise3D_ALU(Position, Quality, bTiling, RepeatSize, true).w * 2.0 - 1.0; + } + return 0; +} +//---------------------------------------------------------- + +export float noise(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, float3 Position, float Scale, float Quality, float Function, float Turbulence, float Levels, float OutputMin, float OutputMax, float LevelScale, float FilterWidth, float Tiling, float RepeatSize) +[[ + anno::description("Noise"), + anno::noinline() +]] +{ + Position *= Scale; + FilterWidth *= Scale; + + float Out = 0.0f; + float OutScale = 1.0f; + float InvLevelScale = 1.0f / LevelScale; + + int iFunction(Function); + int iQuality(Quality); + int iLevels(Levels); + bool bTurbulence(Turbulence); + bool bTiling(Tiling); + + for(int i = 0; i < iLevels; ++i) + { + // fade out noise level that are too high frequent (not done through dynamic branching as it usually requires gradient instructions) + OutScale *= math::saturate(1.0 - FilterWidth); + + if(bTurbulence) + { + Out += math::abs(Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize)) * OutScale; + } + else + { + Out += Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize) * OutScale; + } + + Position *= LevelScale; + RepeatSize *= LevelScale; + OutScale *= InvLevelScale; + FilterWidth *= LevelScale; + } + + if(!bTurbulence) + { + // bring -1..1 to 0..1 range + Out = Out * 0.5f + 0.5f; + } + + // Out is in 0..1 range + return math::lerp(OutputMin, OutputMax, Out); +} + +// Material node for noise functions returning a vector value +// @param LevelScale usually 2 but higher values allow efficient use of few levels +// @return in user defined range (OutputMin..OutputMax) +export float4 vector4_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise"), + anno::noinline() +]] +{ + float4 result = float4(0,0,0,1); + float3 ret = float3(0); + int iQuality = int(Quality); + int iFunction = int(Function); + bool bTiling = Tiling > 0.0; + + float3x4 Jacobian = JacobianSimplex_ALU(Position, bTiling, TileSize); // compiled out if not used + + // verified, HLSL compiled out the switch if Function is a constant + switch (iFunction) + { + case 0: // Cellnoise + ret = float3(Rand3DPCG16(int3(math::floor(NoiseTileWrap(Position, bTiling, TileSize))))) / 0xffff; + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 1: // Color noise + ret = float3(Jacobian[0].w, Jacobian[1].w, Jacobian[2].w); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 2: // Gradient + result = Jacobian[0]; + break; + case 3: // Curl + ret = float3(Jacobian[2][1] - Jacobian[1][2], Jacobian[0][2] - Jacobian[2][0], Jacobian[1][0] - Jacobian[0][1]); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 4: // Voronoi + result = VoronoiNoise3D_ALU(Position, iQuality, bTiling, TileSize, false); + break; + } + return result; +} + +export float3 vector3_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise float3 version"), + anno::noinline() +]] +{ + float4 noise = vector4_noise(Position, Quality, Function, Tiling, TileSize); + return float3(noise.x, noise.y, noise.z); +} + + +// workaround for ue4 fresnel (without supporting for camera vector) : replacing it with 0.0, means facing to the view +export float fresnel(float exponent [[anno::unused()]], float base_reflect_fraction [[anno::unused()]], float3 normal [[anno::unused()]]) +[[ + anno::description("Fresnel"), + anno::noinline() +]] +{ + return 0.0; +} + +export float fresnel_function(float3 normal_vector [[anno::unused()]], float3 camera_vector [[anno::unused()]], + bool invert_fresnel [[anno::unused()]], float power [[anno::unused()]], + bool use_cheap_contrast [[anno::unused()]], float cheap_contrast_dark [[anno::unused()]], float cheap_contrast_bright [[anno::unused()]], + bool clamp_fresnel_dot_product [[anno::unused()]]) +[[ + anno::description("Fresnel Function"), + anno::noinline() +]] +{ + return 0.0; +} + +export float3 camera_vector(uniform bool up_z = true) +[[ + anno::description("Camera Vector"), + anno::noinline() +]] +{ + // assume camera postion is 0,0,0 + return math::normalize(float3(0) - convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)); +} + +export float pixel_depth() +[[ + anno::description("Pixel Depth"), + anno::noinline() +]] +{ + return 256.0f; +} + +export float scene_depth() +[[ + anno::description("Scene Depth") +]] +{ + return 65500.0f; +} + +export float3 scene_color() +[[ + anno::description("Scene Color") +]] +{ + return float3(1.0f); +} + +export float4 vertex_color() +[[ + anno::description("Vertex Color"), + anno::noinline() +]] +{ + return float4(1.0f); +} + +export float4 vertex_color_from_coordinate(int VertexColorCoordinateIndex) +[[ + anno::description("Vertex Color for float2 PrimVar"), + anno::noinline() +]] +{ + // Kit only supports 4 uv sets, 2 uvs are available to vertex color. if vertex color index is invalid, output the constant WHITE color intead + return (VertexColorCoordinateIndex > 2) ? float4(1.0f) : float4(state::texture_coordinate(VertexColorCoordinateIndex).x, state::texture_coordinate(VertexColorCoordinateIndex).y, state::texture_coordinate(VertexColorCoordinateIndex+1).x, state::texture_coordinate(VertexColorCoordinateIndex+1).y); +} + +export float3 camera_position() +[[ + anno::description("Camera Position"), + anno::noinline() +]] +{ + return float3(1000.0f, 0, 0); +} + +export float3 rotate_about_axis(float4 NormalizedRotationAxisAndAngle, float3 PositionOnAxis, float3 Position) +[[ + anno::description("Rotates Position about the given axis by the given angle") +]] +{ + // Project Position onto the rotation axis and find the closest point on the axis to Position + float3 NormalizedRotationAxis = float3(NormalizedRotationAxisAndAngle.x,NormalizedRotationAxisAndAngle.y,NormalizedRotationAxisAndAngle.z); + float3 ClosestPointOnAxis = PositionOnAxis + NormalizedRotationAxis * math::dot(NormalizedRotationAxis, Position - PositionOnAxis); + // Construct orthogonal axes in the plane of the rotation + float3 UAxis = Position - ClosestPointOnAxis; + float3 VAxis = math::cross(NormalizedRotationAxis, UAxis); + float[2] SinCosAngle = math::sincos(NormalizedRotationAxisAndAngle.w); + // Rotate using the orthogonal axes + float3 R = UAxis * SinCosAngle[1] + VAxis * SinCosAngle[0]; + // Reconstruct the rotated world space position + float3 RotatedPosition = ClosestPointOnAxis + R; + // Convert from position to a position offset + return RotatedPosition - Position; +} + +export float2 rotate_scale_offset_texcoords(float2 InTexCoords, float4 InRotationScale, float2 InOffset) +[[ + anno::description("Returns a float2 texture coordinate after 2x2 transform and offset applied") +]] +{ + return float2(math::dot(InTexCoords, float2(InRotationScale.x, InRotationScale.y)), math::dot(InTexCoords, float2(InRotationScale.z, InRotationScale.w))) + InOffset; +} + +export float3 reflection_custom_world_normal(float3 WorldNormal, bool bNormalizeInputNormal, uniform bool up_z = true) +[[ + anno::description("Reflection vector about the specified world space normal") +]] +{ + if (bNormalizeInputNormal) + { + WorldNormal = math::normalize(WorldNormal); + } + + return -camera_vector(up_z) + WorldNormal * math::dot(WorldNormal, camera_vector(up_z)) * 2.0; +} + +export float3 reflection_vector(uniform bool up_z = true) +[[ + anno::description("Reflection Vector"), + anno::noinline() +]] +{ + float3 normal = convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); + return reflection_custom_world_normal(normal, false, up_z); +} + +export float dither_temporalAA(float AlphaThreshold = 0.5f, float Random = 1.0f [[anno::unused()]]) +[[ + anno::description("Dither TemporalAA"), + anno::noinline() +]] +{ + return AlphaThreshold; +} + +export float3 black_body( float Temp ) +[[ + anno::description("Black Body"), + anno::noinline() +]] +{ + float u = ( 0.860117757f + 1.54118254e-4f * Temp + 1.28641212e-7f * Temp*Temp ) / ( 1.0f + 8.42420235e-4f * Temp + 7.08145163e-7f * Temp*Temp ); + float v = ( 0.317398726f + 4.22806245e-5f * Temp + 4.20481691e-8f * Temp*Temp ) / ( 1.0f - 2.89741816e-5f * Temp + 1.61456053e-7f * Temp*Temp ); + + float x = 3*u / ( 2*u - 8*v + 4 ); + float y = 2*v / ( 2*u - 8*v + 4 ); + float z = 1 - x - y; + + float Y = 1; + float X = Y/y * x; + float Z = Y/y * z; + + float3x3 XYZtoRGB = float3x3( + float3(3.2404542, -1.5371385, -0.4985314), + float3(-0.9692660, 1.8760108, 0.0415560), + float3(0.0556434, -0.2040259, 1.0572252) + ); + + return XYZtoRGB * float3( X, Y, Z ) * math::pow( 0.0004 * Temp, 4 ); +} + +export float per_instance_random(uniform texture_2d PerlinNoiseGradientTexture, int NumberInstances) +[[ + anno::description("Per Instance Random"), + anno::noinline() +]] +{ + float weight = state::object_id() / float(NumberInstances); + return NumberInstances == 0 ? 0.0 : tex::lookup_float4(PerlinNoiseGradientTexture, float2(weight, 1.0 - weight), tex::wrap_repeat, tex::wrap_repeat).x; +} + +//------------------ Hair from UE4 ----------------------- +float3 hair_absorption_to_color(float3 A) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::exp(-math::sqrt(A) * D); +} + +float3 hair_color_to_absorption(float3 C) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::pow(math::log(C) / D, 2.0f); +} + +export float3 get_hair_color_from_melanin(float InMelanin, float InRedness, float3 InDyeColor) +[[ + anno::description("Hair Color") +]] +{ + InMelanin = math::saturate(InMelanin); + InRedness = math::saturate(InRedness); + float Melanin = -math::log(math::max(1 - InMelanin, 0.0001f)); + float Eumelanin = Melanin * (1 - InRedness); + float Pheomelanin = Melanin * InRedness; + + float3 DyeAbsorption = hair_color_to_absorption(math::saturate(InDyeColor)); + float3 Absorption = Eumelanin * float3(0.506f, 0.841f, 1.653f) + Pheomelanin * float3(0.343f, 0.733f, 1.924f); + + return hair_absorption_to_color(Absorption + DyeAbsorption); +} + +export float3 local_object_bounds_min() +[[ + anno::description("Local Object Bounds Min"), + anno::noinline() +]] +{ + return float3(0.0); +} + +export float3 local_object_bounds_max() +[[ + anno::description("Local Object Bounds Max"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float3 object_bounds() +[[ + anno::description("Object Bounds"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float object_radius() +[[ + anno::description("Object Radius"), + anno::noinline() +]] +{ + return 100.0f; +} + +export float3 object_world_position(uniform bool up_z = true) +[[ + anno::description("Object World Position"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)*state::meters_per_scene_unit()*100.0; +} + +export float3 object_orientation() +[[ + anno::description("Object Orientation"), + anno::noinline() +]] +{ + return float3(0); +} + +export float rcp(float x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float2 rcp(float2 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float3 rcp(float3 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float4 rcp(float4 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export int BitFieldExtractI32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractI32 int"), + anno::noinline() +]] +{ + Size &= 3; + Offset &= 3; + + if (Size == 0) + return 0; + else if (Offset + Size < 32) + return (Data << (32 - Size - Offset)) >> (32 - Size); + else + return Data >> Offset; +} + +export int BitFieldExtractI32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractI32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(int(Data), int(Size), int(Offset)); +} + +export int BitFieldExtractU32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractU32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export int BitFieldExtractU32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractU32 int"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export float3 EyeAdaptationInverseLookup(float3 LightValue, float Alpha) +[[ + anno::description("EyeAdaptationInverseLookup"), + anno::noinline() +]] +{ + float Adaptation = 1.0f; + + // When Alpha=0.0, we want to multiply by 1.0. when Alpha = 1.0, we want to multiply by 1/Adaptation. + // So the lerped value is: + // LerpLogScale = Lerp(log(1),log(1/Adaptaiton),T) + // Which is simplified as: + // LerpLogScale = Lerp(0,-log(Adaptation),T) + // LerpLogScale = -T * logAdaptation; + + float LerpLogScale = -Alpha * math::log(Adaptation); + float Scale = math::exp(LerpLogScale); + return LightValue * Scale; +} diff --git a/Shelf/BP_StorageShelf2/Materials/Textures/T_Default_BC.png b/Shelf/BP_StorageShelf2/Materials/Textures/T_Default_BC.png new file mode 100644 index 0000000000000000000000000000000000000000..3ffb615216a543684b72182bc2b93df642feb0ef --- /dev/null +++ b/Shelf/BP_StorageShelf2/Materials/Textures/T_Default_BC.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:80d67d3146f380b837c67e1a79b6175853cdf1920fba89e3b8f360be56a1b6aa +size 306663 diff --git a/Shelf/BP_StorageShelf2/Materials/Textures/T_Default_N.png b/Shelf/BP_StorageShelf2/Materials/Textures/T_Default_N.png new file mode 100644 index 0000000000000000000000000000000000000000..f289b540abf7a01f18f45ff433210bb4c1617a52 --- /dev/null +++ b/Shelf/BP_StorageShelf2/Materials/Textures/T_Default_N.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:88a5f868fcf0e1eb344fceb49059a9c7cd409f011cebc45ba1fe3ae6c919acb7 +size 12641622 diff --git a/Shelf/BP_StorageShelf2/Materials/Textures/T_Default_RMA.png b/Shelf/BP_StorageShelf2/Materials/Textures/T_Default_RMA.png new file mode 100644 index 0000000000000000000000000000000000000000..958d1b53366393657e1b8d143ef2947172e570b8 --- /dev/null +++ b/Shelf/BP_StorageShelf2/Materials/Textures/T_Default_RMA.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:0af24e05d9bc54824c16a11de1d386ead87363dc5292f88121a2039631f0f28a +size 304450 diff --git a/Shelf/BP_StorageShelf2/Materials/Textures/T_StorageShelf_BC.png b/Shelf/BP_StorageShelf2/Materials/Textures/T_StorageShelf_BC.png new file mode 100644 index 0000000000000000000000000000000000000000..84c06a7eed1d8801ab186257596b30c12955c154 --- /dev/null +++ b/Shelf/BP_StorageShelf2/Materials/Textures/T_StorageShelf_BC.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:d2de379b8ae1fa0d7aec03ae5114e2fc35630f541c0e7ce8a79d4893d9e60ff6 +size 28621578 diff --git a/Shelf/BP_StorageShelf2/Materials/Textures/T_StorageShelf_N.png b/Shelf/BP_StorageShelf2/Materials/Textures/T_StorageShelf_N.png new file mode 100644 index 0000000000000000000000000000000000000000..31fd8aa4ed620d10a41bd265567258c0c88b240d --- /dev/null +++ b/Shelf/BP_StorageShelf2/Materials/Textures/T_StorageShelf_N.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:8eeeb009d5bc80cb58c20733099ad236873ff5277e0450cad541b0e03be8c369 +size 16885877 diff --git a/Shelf/BP_StorageShelf2/Materials/Textures/T_StorageShelf_RMA.png b/Shelf/BP_StorageShelf2/Materials/Textures/T_StorageShelf_RMA.png new file mode 100644 index 0000000000000000000000000000000000000000..f11e4b078a87c1109cad4ce12ff33a8a378e96cd --- /dev/null +++ b/Shelf/BP_StorageShelf2/Materials/Textures/T_StorageShelf_RMA.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:c8ae9014a95e719fb6fab68ebe0837c192e7963969735214ccb416af9f871640 +size 23229685 diff --git a/Shelf/BP_StorageShelf2/Props/BasePlate.usd b/Shelf/BP_StorageShelf2/Props/BasePlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..0e7fac5efc6330fb62133929efc43fc90f2345f3 Binary files /dev/null and b/Shelf/BP_StorageShelf2/Props/BasePlate.usd differ diff --git a/Shelf/BP_StorageShelf2/Props/HorizontalPlate.usd b/Shelf/BP_StorageShelf2/Props/HorizontalPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..e96ae34a0632706544d34bf1041a15feaba17ab6 Binary files /dev/null and b/Shelf/BP_StorageShelf2/Props/HorizontalPlate.usd differ diff --git a/Shelf/BP_StorageShelf2/Props/SideGuardPlate.usd b/Shelf/BP_StorageShelf2/Props/SideGuardPlate.usd new file mode 100644 index 0000000000000000000000000000000000000000..8000a187812738d0b38a321150698f7bdca3969c --- /dev/null +++ b/Shelf/BP_StorageShelf2/Props/SideGuardPlate.usd @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:16a4d1504d7590f85383e6d1981fde549f46c3d8aeb72cf33e333f1e6ac887c8 +size 1885313 diff --git a/Shelf/BP_StorageShelf2/instance.usd b/Shelf/BP_StorageShelf2/instance.usd new file mode 100644 index 0000000000000000000000000000000000000000..ddaf5b9735077b1208d8deb8f799c7f8cae598b8 Binary files /dev/null and b/Shelf/BP_StorageShelf2/instance.usd differ diff --git a/Shelf/BP_StorageShelf3/Materials/MI_Crate_01.mdl b/Shelf/BP_StorageShelf3/Materials/MI_Crate_01.mdl new file mode 100644 index 0000000000000000000000000000000000000000..b928cfa3a18f36b5626019e71c264c085d13f6b5 --- /dev/null +++ b/Shelf/BP_StorageShelf3/Materials/MI_Crate_01.mdl @@ -0,0 +1,85 @@ +mdl 1.6; + +import ::math::*; +import ::state::*; +import ::tex::*; +import ::anno::*; +import ::scene::*; +using .::OmniUe4Function import *; +using .::OmniUe4Base import *; + +export annotation sampler_color(); +export annotation sampler_normal(); +export annotation sampler_grayscale(); +export annotation sampler_alpha(); +export annotation sampler_masks(); +export annotation sampler_distancefield(); +export annotation dither_masked_off(); +export annotation world_space_normal(); + +export material MI_Crate_01( + uniform texture_2d Normal = texture_2d("./Textures/Basket_01a_N.png",::tex::gamma_linear) + [[ + anno::display_name("Normal"), + anno::ui_order(32), + sampler_normal() + ]], + uniform texture_2d Color = texture_2d("./Textures/Basket_01a_CO.png",::tex::gamma_srgb) + [[ + anno::display_name("Color"), + anno::ui_order(32), + sampler_color() + ]], + uniform texture_2d RMA = texture_2d("./Textures/Basket_01a_MADS.png",::tex::gamma_srgb) + [[ + anno::display_name("RMA"), + anno::ui_order(32), + sampler_color() + ]], + float Wear = 0.0 + [[ + anno::display_name("Wear"), + anno::ui_order(32), + anno::soft_range(0.0, 1.0) + ]], + int MaxTexCoordIndex = 3 + [[ + anno::hidden() + ]]) +[[ + dither_masked_off() +]] + = + let { + float3 WorldPositionOffset_mdl = float3(0.0,0.0,0.0); + float2 CustomizedUV0_mdl = float2(state::texture_coordinate(math::min(0,MaxTexCoordIndex)).x,1.0-state::texture_coordinate(math::min(0,MaxTexCoordIndex)).y); + + float4 Local0 = ::unpack_normal_map(tex::lookup_float4(Normal,float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat)); + + float3 Normal_mdl = float3(Local0.x,Local0.y,Local0.z); + + float4 Local1 = tex::lookup_float4(Color,float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float4 Local2 = tex::lookup_float4(RMA,float2(CustomizedUV0_mdl.x,1.0-CustomizedUV0_mdl.y),tex::wrap_repeat,tex::wrap_repeat); + float Local3 = (1.0 - Local2.w); + float Local4 = math::lerp(Local3,0.0,Wear); + + float3 EmissiveColor_mdl = float3(0.0,0.0,0.0); + float OpacityMask_mdl = (Local1.w - 0.3333) < 0.0f ? 0.0f : 1.0f; + float3 BaseColor_mdl = float3(Local1.x,Local1.y,Local1.z); + float Metallic_mdl = Local2.x; + float Specular_mdl = 0.5; + float Roughness_mdl = Local4; + float SurfaceThickness_mdl = 0.01; + float Displacement_mdl = 0.0; + + } in + ::OmniUe4Base( + base_color: BaseColor_mdl, + metallic: Metallic_mdl, + roughness: Roughness_mdl, + specular: Specular_mdl, + normal: Normal_mdl, + opacity: OpacityMask_mdl, + emissive_color: EmissiveColor_mdl, + displacement: WorldPositionOffset_mdl, + two_sided: false); diff --git a/Shelf/BP_StorageShelf3/Materials/OmniUe4Base.mdl b/Shelf/BP_StorageShelf3/Materials/OmniUe4Base.mdl new file mode 100644 index 0000000000000000000000000000000000000000..a441fbaf28040302c7aaabfbcf14b24a85bdf643 --- /dev/null +++ b/Shelf/BP_StorageShelf3/Materials/OmniUe4Base.mdl @@ -0,0 +1,224 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.0 - first version +//* 1.0.1 - merge unlit template +//* 1.0.2 - Fix EDF in the back side: the EDF contained in surface is only used for the front side and not for the back side +//* 1.0.3 - UE4 normal mapping: Geometry normal shouldn't be changed +//* 1.0.4 - using absolute import paths when importing standard modules + +mdl 1.3; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + +float emissive_multiplier() +[[ + anno::description("the multiplier to convert UE4 emissive to raw data"), + anno::noinline() +]] +{ + return 20.0f * 128.0f; +} + +float3 tangent_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in tangent space"), + anno::noinline() +]] +{ + return math::normalize( + tangent_u * normal.x - /* flip_tangent_v */ + tangent_v * normal.y + + state::normal() * (normal.z)); +} + +float3 world_space_normal( + float3 normal = float3(0.0,0.0,1.0), + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0) +) +[[ + anno::description("Interprets the vector in world space"), + anno::noinline() +]] +{ + return tangent_space_normal( + math::normalize( + normal.x * float3(tangent_u.x, tangent_v.x, state::normal().x) - + normal.y * float3(tangent_u.y, tangent_v.y, state::normal().y) + + normal.z * float3(tangent_u.z, tangent_v.z, state::normal().z)), + tangent_u, + tangent_v + ); +} + +export material OmniUe4Base( + float3 base_color = float3(0.0, 0.0, 0.0), + float metallic = 0.0, + float roughness = 0.5, + float specular = 0.5, + float3 normal = float3(0.0,0.0,1.0), + float clearcoat_weight = 0.0, + float clearcoat_roughness = 0.0, + float3 clearcoat_normal = float3(0.0,0.0,1.0), + uniform bool enable_opacity = true, + float opacity = 1.0, + float3 emissive_color = float3(0.0, 0.0, 0.0), + float3 displacement = float3(0.0), + uniform bool is_tangent_space_normal = true, + uniform bool two_sided = false, + uniform bool is_unlit = false +) +[[ + anno::display_name("Omni UE4 Base"), + anno::description("Omni UE4 Base, supports UE4 default lit and clearcoat shading model"), + anno::version( 1, 0, 0), + anno::author("NVIDIA CORPORATION"), + anno::key_words(string[]("omni", "UE4", "omniverse", "lit", "clearcoat", "generic")) +]] + = let { + color final_base_color = math::saturate(base_color); + float final_metallic = math::saturate(metallic); + float final_roughness = math::saturate(roughness); + float final_specular = math::saturate(specular); + color final_emissive_color = math::max(emissive_color, 0.0f) * emissive_multiplier(); /*factor for converting ue4 emissive to raw value*/ + float final_clearcoat_weight = math::saturate(clearcoat_weight); + float final_clearcoat_roughness = math::saturate(clearcoat_roughness); + float3 final_normal = math::normalize(normal); + float3 final_clearcoat_normal = math::normalize(clearcoat_normal); + + // - compute final roughness by squaring the "roughness" parameter + float alpha = final_roughness * final_roughness; + // reduce the reflectivity at grazing angles to avoid "dark edges" for high roughness due to the layering + float grazing_refl = math::max((1.0 - final_roughness), 0.0); + + float3 the_normal = is_unlit ? state::normal() : + (is_tangent_space_normal ? + tangent_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + )); + + // for the dielectric component we layer the glossy component on top of the diffuse one, + // the glossy layer has no color tint + + bsdf dielectric_component = df::custom_curve_layer( + weight: final_specular, + normal_reflectivity: 0.08, + grazing_reflectivity: grazing_refl, + layer: df::microfacet_ggx_smith_bsdf(roughness_u: alpha), + base: df::diffuse_reflection_bsdf(tint: final_base_color), + normal: the_normal); + + // the metallic component doesn't have a diffuse component, it's only glossy + // base_color is applied to tint it + bsdf metallic_component = df::microfacet_ggx_smith_bsdf(tint: final_base_color, roughness_u: alpha); + + // final BSDF is a linear blend between dielectric and metallic component + bsdf dielectric_metal_mix = + df::normalized_mix( + components: + df::bsdf_component[]( + df::bsdf_component( + component: metallic_component, + weight: final_metallic), + df::bsdf_component( + component: dielectric_component, + weight: 1.0-final_metallic) + ) + ); + + // clearcoat layer + float clearcoat_grazing_refl = math::max((1.0 - final_clearcoat_roughness), 0.0); + float clearcoat_alpha = final_clearcoat_roughness * final_clearcoat_roughness; + + float3 the_clearcoat_normal = is_tangent_space_normal ? tangent_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ) : world_space_normal( + normal: final_clearcoat_normal, + tangent_u: state::texture_tangent_u(0), + tangent_v: state::texture_tangent_v(0) + ); + + + bsdf clearcoat = + df::custom_curve_layer( + base: df::weighted_layer( + layer: dielectric_metal_mix, + weight: 1.0, + normal: final_clearcoat_weight == 0.0 ? state::normal() : the_normal + ), + layer: df::microfacet_ggx_smith_bsdf( + roughness_u: clearcoat_alpha, + tint: color(1.0) + ), + normal_reflectivity: 0.04, + grazing_reflectivity: clearcoat_grazing_refl, + normal: the_clearcoat_normal, + weight: final_clearcoat_weight + ); + bsdf surface = is_unlit ? bsdf() : clearcoat; +} +in material( + thin_walled: two_sided, // Graphene? + surface: material_surface( + scattering: surface, + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + backface: material_surface( + emission: + material_emission ( + emission: df::diffuse_edf (), + intensity: final_emissive_color + ) + ), + geometry: material_geometry( + displacement: displacement, + normal: final_clearcoat_weight == 0.0 ? the_normal : state::normal(), + cutout_opacity: enable_opacity ? opacity : 1.0 + ) +); diff --git a/Shelf/BP_StorageShelf3/Materials/OmniUe4Function.mdl b/Shelf/BP_StorageShelf3/Materials/OmniUe4Function.mdl new file mode 100644 index 0000000000000000000000000000000000000000..84f4f0da48ff31d03ee611373fe3a4d2e04c9079 --- /dev/null +++ b/Shelf/BP_StorageShelf3/Materials/OmniUe4Function.mdl @@ -0,0 +1,1413 @@ +/*************************************************************************************************** + * Copyright 2020 NVIDIA Corporation. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of NVIDIA CORPORATION nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR + * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR + * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY + * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + **************************************************************************************************/ + +//* 1.0.1 - using absolute import paths when importing standard modules + +mdl 1.6; + +import ::df::*; +import ::state::*; +import ::math::*; +import ::tex::*; +import ::anno::*; + + +export float3 convert_to_left_hand(float3 vec3, uniform bool up_z = true, uniform bool is_position = true) +[[ + anno::description("convert from RH to LH"), + anno::noinline() +]] +{ + float4x4 ZupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, -1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4x4 YupConversion = float4x4( + 1.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 1.0f, 0.0f, + 0.0f, 1.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 1.0f + ); + + float4 vec4 = float4(vec3.x, vec3.y, vec3.z, is_position ? 1.0f : 0.0f); + + vec4 = vec4 * (up_z ? ZupConversion : YupConversion); + + return float3(vec4.x, vec4.y, vec4.z); +} + +export float3 transform_vector_from_tangent_to_world(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from tangent space to world space"), + anno::noinline() +]] +{ + /* flip_tangent_v */ + return convert_to_left_hand( + tangent_u * vector.x - tangent_v * vector.y + state::normal() * vector.z, + up_z, false); +} + +export float3 transform_vector_from_world_to_tangent(float3 vector, + uniform bool up_z = true, + float3 tangent_u = state::texture_tangent_u(0), + float3 tangent_v = state::texture_tangent_v(0)) +[[ + anno::description("Transform vector from world space to tangent space"), + anno::noinline() +]] +{ + float3 vecRH = convert_to_left_hand(vector, up_z, false); + /* flip_tangent_v */ + return vecRH.x * float3(tangent_u.x, -tangent_v.x, state::normal().x) + + vecRH.y * float3(tangent_u.y, -tangent_v.y, state::normal().y) + + vecRH.z * float3(tangent_u.z, -tangent_v.z, state::normal().z); +} + +export float4 unpack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Unpack a normal stored in a normal map"), + anno::noinline() +]] +{ + float2 normal_xy = float2(texture_sample.x, texture_sample.y); + + normal_xy = normal_xy * float2(2.0,2.0) - float2(1.0,1.0); + float normal_z = math::sqrt( math::saturate( 1.0 - math::dot( normal_xy, normal_xy ) ) ); + return float4( normal_xy.x, normal_xy.y, normal_z, 1.0 ); +} + +// for get color value from normal. +export float4 pack_normal_map( + float4 texture_sample = float4(0.0, 0.0, 1.0, 1.0) + ) +[[ + anno::description("Pack to color from a normal") +]] +{ + float2 return_xy = float2(texture_sample.x, texture_sample.y); + + return_xy = (return_xy + float2(1.0,1.0)) / float2(2.0,2.0); + + return float4( return_xy.x, return_xy.y, 0.0, 1.0 ); +} + +export float4 greyscale_texture_lookup( + float4 texture_sample = float4(0.0, 0.0, 0.0, 1.0) + ) +[[ + anno::description("Sampling a greyscale texture"), + anno::noinline() +]] +{ + return float4(texture_sample.x, texture_sample.x, texture_sample.x, texture_sample.x); +} + +export float3 pixel_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Pixel normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 vertex_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Vertex normal in world space"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); +} + +export float3 landscape_normal_world_space(uniform bool up_z = true) +[[ + anno::description("Landscape normal in world space") +]] +{ + float3 normalFromNormalmap = math::floor((::vertex_normal_world_space(up_z) * 0.5 + 0.5) * 255.0) / 255.0 * 2.0 - 1.0; + + float2 normalXY = float2(normalFromNormalmap.x, normalFromNormalmap.y); + return float3(normalXY.x, normalXY.y, math::sqrt(math::saturate(1.0 - math::dot(normalXY, normalXY)))); +} + +// Different implementation specific between mdl and hlsl for smoothstep +export float smoothstep(float a, float b, float l) +{ + if (a < b) + { + return math::smoothstep(a, b, l); + } + else if (a > b) + { + return 1.0 - math::smoothstep(b, a, l); + } + else + { + return l <= a ? 0.0 : 1.0; + } +} + +export float2 smoothstep(float2 a, float2 b, float2 l) +{ + return float2(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y)); +} + +export float3 smoothstep(float3 a, float3 b, float3 l) +{ + return float3(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z)); +} + +export float4 smoothstep(float4 a, float4 b, float4 l) +{ + return float4(smoothstep(a.x, b.x, l.x), smoothstep(a.y, b.y, l.y), smoothstep(a.z, b.z, l.z), smoothstep(a.w, b.w, l.w)); +} + +export float2 smoothstep(float2 a, float2 b, float l) +{ + return float2(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l)); +} + +export float3 smoothstep(float3 a, float3 b, float l) +{ + return float3(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l)); +} + +export float4 smoothstep(float4 a, float4 b, float l) +{ + return float4(smoothstep(a.x, b.x, l), smoothstep(a.y, b.y, l), smoothstep(a.z, b.z, l), smoothstep(a.w, b.w, l)); +} + +export float2 smoothstep(float a, float b, float2 l) +{ + return float2(smoothstep(a, b, l.x), smoothstep(a, b, l.y)); +} + +export float3 smoothstep(float a, float b, float3 l) +{ + return float3(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z)); +} + +export float4 smoothstep(float a, float b, float4 l) +{ + return float4(smoothstep(a, b, l.x), smoothstep(a, b, l.y), smoothstep(a, b, l.z), smoothstep(a, b, l.w)); +} + +//------------------ Random from UE4 ----------------------- +float length2(float3 v) +{ + return math::dot(v, v); +} + +float3 GetPerlinNoiseGradientTextureAt(uniform texture_2d PerlinNoiseGradientTexture, float3 v) +{ + const float2 ZShear = float2(17.0f, 89.0f); + + float2 OffsetA = v.z * ZShear; + float2 TexA = (float2(v.x, v.y) + OffsetA + 0.5f) / 128.0f; + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA.x,1.0-TexA.y),tex::wrap_repeat,tex::wrap_repeat); + return float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z) * 2.0 - 1.0; +} + +float3 SkewSimplex(float3 In) +{ + return In + math::dot(In, float3(1.0 / 3.0f) ); +} +float3 UnSkewSimplex(float3 In) +{ + return In - math::dot(In, float3(1.0 / 6.0f) ); +} + +// 3D random number generator inspired by PCGs (permuted congruential generator) +// Using a **simple** Feistel cipher in place of the usual xor shift permutation step +// @param v = 3D integer coordinate +// @return three elements w/ 16 random bits each (0-0xffff). +// ~8 ALU operations for result.x (7 mad, 1 >>) +// ~10 ALU operations for result.xy (8 mad, 2 >>) +// ~12 ALU operations for result.xyz (9 mad, 3 >>) + +//TODO: uint3 +int3 Rand3DPCG16(int3 p) +{ + // taking a signed int then reinterpreting as unsigned gives good behavior for negatives + //TODO: uint3 + int3 v = int3(p); + + // Linear congruential step. These LCG constants are from Numerical Recipies + // For additional #'s, PCG would do multiple LCG steps and scramble each on output + // So v here is the RNG state + v = v * 1664525 + 1013904223; + + // PCG uses xorshift for the final shuffle, but it is expensive (and cheap + // versions of xorshift have visible artifacts). Instead, use simple MAD Feistel steps + // + // Feistel ciphers divide the state into separate parts (usually by bits) + // then apply a series of permutation steps one part at a time. The permutations + // use a reversible operation (usually ^) to part being updated with the result of + // a permutation function on the other parts and the key. + // + // In this case, I'm using v.x, v.y and v.z as the parts, using + instead of ^ for + // the combination function, and just multiplying the other two parts (no key) for + // the permutation function. + // + // That gives a simple mad per round. + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + v.x += v.y*v.z; + v.y += v.z*v.x; + v.z += v.x*v.y; + + // only top 16 bits are well shuffled + return v >> 16; +} + +// Wraps noise for tiling texture creation +// @param v = unwrapped texture parameter +// @param bTiling = true to tile, false to not tile +// @param RepeatSize = number of units before repeating +// @return either original or wrapped coord +float3 NoiseTileWrap(float3 v, bool bTiling, float RepeatSize) +{ + return bTiling ? (math::frac(v / RepeatSize) * RepeatSize) : v; +} + +// Evaluate polynomial to get smooth transitions for Perlin noise +// only needed by Perlin functions in this file +// scalar(per component): 2 add, 5 mul +float4 PerlinRamp(float4 t) +{ + return t * t * t * (t * (t * 6 - 15) + 10); +} + +// Blum-Blum-Shub-inspired pseudo random number generator +// http://www.umbc.edu/~olano/papers/mNoise.pdf +// real BBS uses ((s*s) mod M) with bignums and M as the product of two huge Blum primes +// instead, we use a single prime M just small enough not to overflow +// note that the above paper used 61, which fits in a half, but is unusably bad +// @param Integer valued floating point seed +// @return random number in range [0,1) +// ~8 ALU operations (5 *, 3 frac) +float RandBBSfloat(float seed) +{ + float BBS_PRIME24 = 4093.0; + float s = math::frac(seed / BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + s = math::frac(s * s * BBS_PRIME24); + return s; +} + +// Modified noise gradient term +// @param seed - random seed for integer lattice position +// @param offset - [-1,1] offset of evaluation point from lattice point +// @return gradient direction (xyz) and contribution (w) from this lattice point +float4 MGradient(int seed, float3 offset) +{ + //TODO uint + int rand = Rand3DPCG16(int3(seed,0,0)).x; + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1.0 / 0x4000, 1.0 / 0x2000, 1.0 / 0x1000); + float3 direction = float3(int3(rand, rand, rand) & MGradientMask) * MGradientScale - 1; + return float4(direction.x, direction.y, direction.z, math::dot(direction, offset)); +} + +// compute Perlin and related noise corner seed values +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = true to return seed values for a repeating noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @param seed000-seed111 = hash function seeds for the eight corners +// @return fractional part of v +struct SeedValue +{ + float3 fv = float3(0); + float seed000 = 0; + float seed001 = 0; + float seed010 = 0; + float seed011 = 0; + float seed100 = 0; + float seed101 = 0; + float seed110 = 0; + float seed111 = 0; +}; + +SeedValue NoiseSeeds(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds; + seeds.fv = math::frac(v); + float3 iv = math::floor(v); + + const float3 primes = float3(19, 47, 101); + + if (bTiling) + { // can't algebraically combine with primes + seeds.seed000 = math::dot(primes, NoiseTileWrap(iv, true, RepeatSize)); + seeds.seed100 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 0), true, RepeatSize)); + seeds.seed010 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 0), true, RepeatSize)); + seeds.seed110 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 0), true, RepeatSize)); + seeds.seed001 = math::dot(primes, NoiseTileWrap(iv + float3(0, 0, 1), true, RepeatSize)); + seeds.seed101 = math::dot(primes, NoiseTileWrap(iv + float3(1, 0, 1), true, RepeatSize)); + seeds.seed011 = math::dot(primes, NoiseTileWrap(iv + float3(0, 1, 1), true, RepeatSize)); + seeds.seed111 = math::dot(primes, NoiseTileWrap(iv + float3(1, 1, 1), true, RepeatSize)); + } + else + { // get to combine offsets with multiplication by primes in this case + seeds.seed000 = math::dot(iv, primes); + seeds.seed100 = seeds.seed000 + primes.x; + seeds.seed010 = seeds.seed000 + primes.y; + seeds.seed110 = seeds.seed100 + primes.y; + seeds.seed001 = seeds.seed000 + primes.z; + seeds.seed101 = seeds.seed100 + primes.z; + seeds.seed011 = seeds.seed010 + primes.z; + seeds.seed111 = seeds.seed110 + primes.z; + } + + return seeds; +} + +struct SimplexWeights +{ + float4 Result = float4(0); + float3 PosA = float3(0); + float3 PosB = float3(0); + float3 PosC = float3(0); + float3 PosD = float3(0); +}; + +// Computed weights and sample positions for simplex interpolation +// @return float4(a,b,c, d) Barycentric coordinate defined as Filtered = Tex(PosA) * a + Tex(PosB) * b + Tex(PosC) * c + Tex(PosD) * d +SimplexWeights ComputeSimplexWeights3D(float3 OrthogonalPos) +{ + SimplexWeights weights; + float3 OrthogonalPosFloor = math::floor(OrthogonalPos); + + weights.PosA = OrthogonalPosFloor; + weights.PosB = weights.PosA + float3(1, 1, 1); + + OrthogonalPos -= OrthogonalPosFloor; + + float Largest = math::max(OrthogonalPos.x, math::max(OrthogonalPos.y, OrthogonalPos.z)); + float Smallest = math::min(OrthogonalPos.x, math::min(OrthogonalPos.y, OrthogonalPos.z)); + + weights.PosC = weights.PosA + float3(Largest == OrthogonalPos.x, Largest == OrthogonalPos.y, Largest == OrthogonalPos.z); + weights.PosD = weights.PosA + float3(Smallest != OrthogonalPos.x, Smallest != OrthogonalPos.y, Smallest != OrthogonalPos.z); + + float RG = OrthogonalPos.x - OrthogonalPos.y; + float RB = OrthogonalPos.x - OrthogonalPos.z; + float GB = OrthogonalPos.y - OrthogonalPos.z; + + weights.Result.z = + math::min(math::max(0, RG), math::max(0, RB)) // X + + math::min(math::max(0, -RG), math::max(0, GB)) // Y + + math::min(math::max(0, -RB), math::max(0, -GB)); // Z + + weights.Result.w = + math::min(math::max(0, -RG), math::max(0, -RB)) // X + + math::min(math::max(0, RG), math::max(0, -GB)) // Y + + math::min(math::max(0, RB), math::max(0, GB)); // Z + + weights.Result.y = Smallest; + weights.Result.x = 1.0f - weights.Result.y - weights.Result.z - weights.Result.w; + + return weights; +} + +// filtered 3D gradient simple noise (few texture lookups, high quality) +// @param v >0 +// @return random number in the range -1 .. 1 +float SimplexNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 EvalPos) +{ + float3 OrthogonalPos = SkewSimplex(EvalPos); + + SimplexWeights Weights = ComputeSimplexWeights3D(OrthogonalPos); + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 32 bit) + float3 A = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosA); + float3 B = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosB); + float3 C = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosC); + float3 D = GetPerlinNoiseGradientTextureAt(PerlinNoiseGradientTexture, Weights.PosD); + + Weights.PosA = UnSkewSimplex(Weights.PosA); + Weights.PosB = UnSkewSimplex(Weights.PosB); + Weights.PosC = UnSkewSimplex(Weights.PosC); + Weights.PosD = UnSkewSimplex(Weights.PosD); + + float DistanceWeight; + + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosA)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float a = math::dot(A, EvalPos - Weights.PosA) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosB)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float b = math::dot(B, EvalPos - Weights.PosB) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosC)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float c = math::dot(C, EvalPos - Weights.PosC) * DistanceWeight; + DistanceWeight = math::saturate(0.6f - length2(EvalPos - Weights.PosD)); DistanceWeight *= DistanceWeight; DistanceWeight *= DistanceWeight; + float d = math::dot(D, EvalPos - Weights.PosD) * DistanceWeight; + + return 32 * (a + b + c + d); +} + +// filtered 3D noise, can be optimized +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_TEX(uniform texture_2d PerlinNoiseGradientTexture, float3 v, bool bTiling, float RepeatSize) +{ + bTiling = true; + float3 fv = math::frac(v); + float3 iv0 = NoiseTileWrap(math::floor(v), bTiling, RepeatSize); + float3 iv1 = NoiseTileWrap(iv0 + 1, bTiling, RepeatSize); + + const int2 ZShear = int2(17, 89); + + float2 OffsetA = iv0.z * ZShear; + float2 OffsetB = OffsetA + ZShear; // non-tiling, use relative offset + if (bTiling) // tiling, have to compute from wrapped coordinates + { + OffsetB = iv1.z * ZShear; + } + + // Texture size scale factor + float ts = 1 / 128.0f; + + // texture coordinates for iv0.xy, as offset for both z slices + float2 TexA0 = (float2(iv0.x, iv0.y) + OffsetA + 0.5f) * ts; + float2 TexB0 = (float2(iv0.x, iv0.y) + OffsetB + 0.5f) * ts; + + // texture coordinates for iv1.xy, as offset for both z slices + float2 TexA1 = TexA0 + ts; // for non-tiling, can compute relative to existing coordinates + float2 TexB1 = TexB0 + ts; + if (bTiling) // for tiling, need to compute from wrapped coordinates + { + TexA1 = (float2(iv1.x, iv1.y) + OffsetA + 0.5f) * ts; + TexB1 = (float2(iv1.x, iv1.y) + OffsetB + 0.5f) * ts; + } + + + // can be optimized to 1 or 2 texture lookups (4 or 8 channel encoded in 8, 16 or 32 bit) + float4 PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + float3 PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 A = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 B = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA0.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 C = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexA1.x,1.0-TexA1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 D = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 E = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB0.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 F = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB0.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 G = PerlinNoiseColor * 2 - 1; + PerlinNoise = tex::lookup_float4(PerlinNoiseGradientTexture,float2(TexB1.x,1.0-TexB1.y),tex::wrap_repeat,tex::wrap_repeat); + PerlinNoiseColor = float3(PerlinNoise.x, PerlinNoise.y, PerlinNoise.z); + float3 H = PerlinNoiseColor * 2 - 1; + + float a = math::dot(A, fv - float3(0, 0, 0)); + float b = math::dot(B, fv - float3(1, 0, 0)); + float c = math::dot(C, fv - float3(0, 1, 0)); + float d = math::dot(D, fv - float3(1, 1, 0)); + float e = math::dot(E, fv - float3(0, 0, 1)); + float f = math::dot(F, fv - float3(1, 0, 1)); + float g = math::dot(G, fv - float3(0, 1, 1)); + float h = math::dot(H, fv - float3(1, 1, 1)); + + float4 Weights = PerlinRamp(math::frac(float4(fv.x, fv.y, fv.z, 0))); + + float i = math::lerp(math::lerp(a, b, Weights.x), math::lerp(c, d, Weights.x), Weights.y); + float j = math::lerp(math::lerp(e, f, Weights.x), math::lerp(g, h, Weights.x), Weights.y); + + return math::lerp(i, j, Weights.z); +} + +// @return random number in the range -1 .. 1 +// scalar: 6 frac, 31 mul/mad, 15 add, +float FastGradientPerlinNoise3D_TEX(uniform texture_3d PerlinNoise3DTexture, float3 xyz) +{ + // needs to be the same value when creating the PerlinNoise3D texture + float Extent = 16; + + // last texel replicated and needed for filtering + // scalar: 3 frac, 6 mul + xyz = math::frac(xyz / (Extent - 1)) * (Extent - 1); + + // scalar: 3 frac + float3 uvw = math::frac(xyz); + // = floor(xyz); + // scalar: 3 add + float3 p0 = xyz - uvw; +// float3 f = math::pow(uvw, 2) * 3.0f - math::pow(uvw, 3) * 2.0f; // original perlin hermite (ok when used without bump mapping) + // scalar: 2*3 add 5*3 mul + float4 pr = PerlinRamp(float4(uvw.x, uvw.y, uvw.z, 0)); + float3 f = float3(pr.x, pr.y, pr.z); // new, better with continues second derivative for bump mapping + // scalar: 3 add + float3 p = p0 + f; + // scalar: 3 mad + // TODO: need reverse??? + float4 NoiseSample = tex::lookup_float4(PerlinNoise3DTexture, p / Extent + 0.5f / Extent); // +0.5f to get rid of bilinear offset + + // reconstruct from 8bit (using mad with 2 constants and dot4 was same instruction count) + // scalar: 4 mad, 3 mul, 3 add + float3 n = float3(NoiseSample.x, NoiseSample.y, NoiseSample.z) * 255.0f / 127.0f - 1.0f; + float d = NoiseSample.w * 255.f - 127; + return math::dot(xyz, n) - d; +} + +// Perlin-style "Modified Noise" +// http://www.umbc.edu/~olano/papers/index.html#mNoise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float GradientNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = MGradient(int(seeds.seed000), seeds.fv - float3(0, 0, 0)).w; + float rand100 = MGradient(int(seeds.seed100), seeds.fv - float3(1, 0, 0)).w; + float rand010 = MGradient(int(seeds.seed010), seeds.fv - float3(0, 1, 0)).w; + float rand110 = MGradient(int(seeds.seed110), seeds.fv - float3(1, 1, 0)).w; + float rand001 = MGradient(int(seeds.seed001), seeds.fv - float3(0, 0, 1)).w; + float rand101 = MGradient(int(seeds.seed101), seeds.fv - float3(1, 0, 1)).w; + float rand011 = MGradient(int(seeds.seed011), seeds.fv - float3(0, 1, 1)).w; + float rand111 = MGradient(int(seeds.seed111), seeds.fv - float3(1, 1, 1)).w; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D value noise - used to be incorrectly called Perlin noise +// @param v = 3D noise argument, use float3(x,y,0) for 2D or float3(x,0,0) for 1D +// @param bTiling = repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension +// @return random number in the range -1 .. 1 +float ValueNoise3D_ALU(float3 v, bool bTiling, float RepeatSize) +{ + SeedValue seeds = NoiseSeeds(v, bTiling, RepeatSize); + + float rand000 = RandBBSfloat(seeds.seed000) * 2 - 1; + float rand100 = RandBBSfloat(seeds.seed100) * 2 - 1; + float rand010 = RandBBSfloat(seeds.seed010) * 2 - 1; + float rand110 = RandBBSfloat(seeds.seed110) * 2 - 1; + float rand001 = RandBBSfloat(seeds.seed001) * 2 - 1; + float rand101 = RandBBSfloat(seeds.seed101) * 2 - 1; + float rand011 = RandBBSfloat(seeds.seed011) * 2 - 1; + float rand111 = RandBBSfloat(seeds.seed111) * 2 - 1; + + float4 Weights = PerlinRamp(float4(seeds.fv.x, seeds.fv.y, seeds.fv.z, 0)); + + float i = math::lerp(math::lerp(rand000, rand100, Weights.x), math::lerp(rand010, rand110, Weights.x), Weights.y); + float j = math::lerp(math::lerp(rand001, rand101, Weights.x), math::lerp(rand011, rand111, Weights.x), Weights.y); + return math::lerp(i, j, Weights.z); +} + +// 3D jitter offset within a voronoi noise cell +// @param pos - integer lattice corner +// @return random offsets vector +float3 VoronoiCornerSample(float3 pos, int Quality) +{ + // random values in [-0.5, 0.5] + float3 noise = float3(Rand3DPCG16(int3(pos))) / 0xffff - 0.5; + + // quality level 1 or 2: searches a 2x2x2 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 2x2x2 search + if (Quality <= 2) + { + return math::normalize(noise) * 0.2588; + } + + // quality level 3: searches a 3x3x3 neighborhood with points distributed on a sphere + // scale factor to guarantee jittered points will be found within a 3x3x3 search + if (Quality == 3) + { + return math::normalize(noise) * 0.3090; + } + + // quality level 4: jitter to anywhere in the cell, needs 4x4x4 search + return noise; +} + +// compare previous best with a new candidate +// not producing point locations makes it easier for compiler to eliminate calculations when they're not needed +// @param minval = location and distance of best candidate seed point before the new one +// @param candidate = candidate seed point +// @param offset = 3D offset to new candidate seed point +// @param bDistanceOnly = if true, only set maxval.w with distance, otherwise maxval.w is distance and maxval.xyz is position +// @return position (if bDistanceOnly is false) and distance to closest seed point so far +float4 VoronoiCompare(float4 minval, float3 candidate, float3 offset, bool bDistanceOnly) +{ + if (bDistanceOnly) + { + return float4(0, 0, 0, math::min(minval.w, math::dot(offset, offset))); + } + else + { + float newdist = math::dot(offset, offset); + return newdist > minval.w ? minval : float4(candidate.x, candidate.y, candidate.z, newdist); + } +} + +// 220 instruction Worley noise +float4 VoronoiNoise3D_ALU(float3 v, int Quality, bool bTiling, float RepeatSize, bool bDistanceOnly) +{ + float3 fv = math::frac(v), fv2 = math::frac(v + 0.5); + float3 iv = math::floor(v), iv2 = math::floor(v + 0.5); + + // with initial minimum distance = infinity (or at least bigger than 4), first min is optimized away + float4 mindist = float4(0,0,0,100); + float3 p, offset; + + // quality level 3: do a 3x3x3 search + if (Quality == 3) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 1; ++offset_x) + { + for (offset_y = -1; offset_y <= 1; ++offset_y) + { + for (offset_z = -1; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + + // everybody else searches a base 2x2x2 neighborhood + else + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = 0; offset_x <= 1; ++offset_x) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // quality level 2, do extra set of points, offset by half a cell + if (Quality == 2) + { + // 467 is just an offset to a different area in the random number field to avoid similar neighbor artifacts + p = offset + VoronoiCornerSample(NoiseTileWrap(iv2 + offset, bTiling, RepeatSize) + 467, Quality); + mindist = VoronoiCompare(mindist, iv2 + p, fv2 - p, bDistanceOnly); + } + } + } + } + } + + // quality level 4: add extra sets of four cells in each direction + if (Quality >= 4) + { + int offset_x; + int offset_y; + int offset_z; + for (offset_x = -1; offset_x <= 2; offset_x += 3) + { + for (offset_y = 0; offset_y <= 1; ++offset_y) + { + for (offset_z = 0; offset_z <= 1; ++offset_z) + { + offset = float3(offset_x, offset_y, offset_z); + // along x axis + p = offset + VoronoiCornerSample(NoiseTileWrap(iv + offset, bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along y axis + p = float3(offset.y, offset.z, offset.x) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.y, offset.z, offset.x), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + + // along z axis + p = float3(offset.z, offset.x, offset.y) + VoronoiCornerSample(NoiseTileWrap(iv + float3(offset.z, offset.x, offset.y), bTiling, RepeatSize), Quality); + mindist = VoronoiCompare(mindist, iv + p, fv - p, bDistanceOnly); + } + } + } + } + + // transform squared distance to real distance + return float4(mindist.x, mindist.y, mindist.z, math::sqrt(mindist.w)); +} + +// Coordinates for corners of a Simplex tetrahedron +// Based on McEwan et al., Efficient computation of noise in GLSL, JGT 2011 +// @param v = 3D noise argument +// @return 4 corner locations +float4x3 SimplexCorners(float3 v) +{ + // find base corner by skewing to tetrahedral space and back + float3 tet = math::floor(v + v.x/3 + v.y/3 + v.z/3); + float3 base = tet - tet.x/6 - tet.y/6 - tet.z/6; + float3 f = v - base; + + // Find offsets to other corners (McEwan did this in tetrahedral space, + // but since skew is along x=y=z axis, this works in Euclidean space too.) + float3 g = math::step(float3(f.y,f.z,f.x), float3(f.x,f.y,f.z)), h = 1 - float3(g.z, g.x, g.y); + float3 a1 = math::min(g, h) - 1.0 / 6.0, a2 = math::max(g, h) - 1.0 / 3.0; + + // four corners + return float4x3(base, base + a1, base + a2, base + 0.5); +} + +// Improved smoothing function for simplex noise +// @param f = fractional distance to four tetrahedral corners +// @return weight for each corner +float4 SimplexSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + return (1 * scale + s*(-3 * scale + s*(3 * scale - s*scale))); +} + +// Derivative of simplex noise smoothing function +// @param f = fractional distanc eto four tetrahedral corners +// @return derivative of smoothing function for each corner by x, y and z +float3x4 SimplexDSmooth(float4x3 f) +{ + const float scale = 1024. / 375.; // scale factor to make noise -1..1 + float4 d = float4(math::dot(f[0], f[0]), math::dot(f[1], f[1]), math::dot(f[2], f[2]), math::dot(f[3], f[3])); + float4 s = math::saturate(2 * d); + s = -12 * scale + s*(24 * scale - s * 12 * scale); + + return float3x4( + s * float4(f[0][0], f[1][0], f[2][0], f[3][0]), + s * float4(f[0][1], f[1][1], f[2][1], f[3][1]), + s * float4(f[0][2], f[1][2], f[2][2], f[3][2])); +} + +// Simplex noise and its Jacobian derivative +// @param v = 3D noise argument +// @param bTiling = whether to repeat noise pattern +// @param RepeatSize = integer units before tiling in each dimension, must be a multiple of 3 +// @return float3x3 Jacobian in J[*].xyz, vector noise in J[*].w +// J[0].w, J[1].w, J[2].w is a Perlin-style simplex noise with vector output, e.g. (Nx, Ny, Nz) +// J[i].x is X derivative of the i'th component of the noise so J[2].x is dNz/dx +// You can use this to compute the noise, gradient, curl, or divergence: +// float3x4 J = JacobianSimplex_ALU(...); +// float3 VNoise = float3(J[0].w, J[1].w, J[2].w); // 3D noise +// float3 Grad = J[0].xyz; // gradient of J[0].w +// float3 Curl = float3(J[1][2]-J[2][1], J[2][0]-J[0][2], J[0][1]-J[1][2]); +// float Div = J[0][0]+J[1][1]+J[2][2]; +// All of these are confirmed to compile out all unneeded terms. +// So Grad of X doesn't compute Y or Z components, and VNoise doesn't do any of the derivative computation. +float3x4 JacobianSimplex_ALU(float3 v, bool bTiling, float RepeatSize) +{ + int3 MGradientMask = int3(0x8000, 0x4000, 0x2000); + float3 MGradientScale = float3(1. / 0x4000, 1. / 0x2000, 1. / 0x1000); + + // corners of tetrahedron + float4x3 T = SimplexCorners(v); + // TODO: uint3 + int3 rand = int3(0); + float4x3 gvec0 = float4x3(1.0); + float4x3 gvec1 = float4x3(1.0); + float4x3 gvec2 = float4x3(1.0); + float4x3 fv = float4x3(1.0); + float3x4 grad = float3x4(1.0); + + // processing of tetrahedral vertices, unrolled + // to compute gradient at each corner + fv[0] = v - T[0]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[0] + 0.5, bTiling, RepeatSize)))); + gvec0[0] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[0] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[0] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][0] = math::dot(gvec0[0], fv[0]); + grad[1][0] = math::dot(gvec1[0], fv[0]); + grad[2][0] = math::dot(gvec2[0], fv[0]); + + fv[1] = v - T[1]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[1] + 0.5, bTiling, RepeatSize)))); + gvec0[1] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec1[1] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][1] = math::dot(gvec0[1], fv[1]); + grad[1][1] = math::dot(gvec1[1], fv[1]); + grad[2][1] = math::dot(gvec2[1], fv[1]); + + fv[2] = v - T[2]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[2] + 0.5, bTiling, RepeatSize)))); + gvec0[2] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[2] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[2] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][2] = math::dot(gvec0[2], fv[2]); + grad[1][2] = math::dot(gvec1[2], fv[2]); + grad[2][2] = math::dot(gvec2[2], fv[2]); + + fv[3] = v - T[3]; + rand = Rand3DPCG16(int3(math::floor(NoiseTileWrap(6 * T[3] + 0.5, bTiling, RepeatSize)))); + gvec0[3] = float3(int3(rand.x,rand.x,rand.x) & MGradientMask) * MGradientScale - 1; + gvec1[3] = float3(int3(rand.y,rand.y,rand.y) & MGradientMask) * MGradientScale - 1; + gvec2[3] = float3(int3(rand.z,rand.z,rand.z) & MGradientMask) * MGradientScale - 1; + grad[0][3] = math::dot(gvec0[3], fv[3]); + grad[1][3] = math::dot(gvec1[3], fv[3]); + grad[2][3] = math::dot(gvec2[3], fv[3]); + + // blend gradients + float4 sv = SimplexSmooth(fv); + float3x4 ds = SimplexDSmooth(fv); + + float3x4 jacobian = float3x4(1.0); + float3 vec0 = gvec0*sv + grad[0]*ds; // NOTE: mdl is column major, convert from UE4 (row major) + jacobian[0] = float4(vec0.x, vec0.y, vec0.z, math::dot(sv, grad[0])); + float3 vec1 = gvec1*sv + grad[1]*ds; + jacobian[1] = float4(vec1.x, vec1.y, vec1.z, math::dot(sv, grad[1])); + float3 vec2 = gvec2*sv + grad[2]*ds; + jacobian[2] = float4(vec2.x, vec2.y, vec2.z, math::dot(sv, grad[2])); + + return jacobian; +} + +// While RepeatSize is a float here, the expectation is that it would be largely integer values coming in from the UI. The downstream logic assumes +// floats for all called functions (NoiseTileWrap) and this prevents any float-to-int conversion errors from automatic type conversion. +float Noise3D_Multiplexer(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, int Function, float3 Position, int Quality, bool bTiling, float RepeatSize) +{ + // verified, HLSL compiled out the switch if Function is a constant + switch(Function) + { + case 0: + return SimplexNoise3D_TEX(PerlinNoiseGradientTexture, Position); + case 1: + return GradientNoise3D_TEX(PerlinNoiseGradientTexture, Position, bTiling, RepeatSize); + case 2: + return FastGradientPerlinNoise3D_TEX(PerlinNoise3DTexture, Position); + case 3: + return GradientNoise3D_ALU(Position, bTiling, RepeatSize); + case 4: + return ValueNoise3D_ALU(Position, bTiling, RepeatSize); + case 5: + return VoronoiNoise3D_ALU(Position, Quality, bTiling, RepeatSize, true).w * 2.0 - 1.0; + } + return 0; +} +//---------------------------------------------------------- + +export float noise(uniform texture_2d PerlinNoiseGradientTexture, uniform texture_3d PerlinNoise3DTexture, float3 Position, float Scale, float Quality, float Function, float Turbulence, float Levels, float OutputMin, float OutputMax, float LevelScale, float FilterWidth, float Tiling, float RepeatSize) +[[ + anno::description("Noise"), + anno::noinline() +]] +{ + Position *= Scale; + FilterWidth *= Scale; + + float Out = 0.0f; + float OutScale = 1.0f; + float InvLevelScale = 1.0f / LevelScale; + + int iFunction(Function); + int iQuality(Quality); + int iLevels(Levels); + bool bTurbulence(Turbulence); + bool bTiling(Tiling); + + for(int i = 0; i < iLevels; ++i) + { + // fade out noise level that are too high frequent (not done through dynamic branching as it usually requires gradient instructions) + OutScale *= math::saturate(1.0 - FilterWidth); + + if(bTurbulence) + { + Out += math::abs(Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize)) * OutScale; + } + else + { + Out += Noise3D_Multiplexer(PerlinNoiseGradientTexture, PerlinNoise3DTexture, iFunction, Position, iQuality, bTiling, RepeatSize) * OutScale; + } + + Position *= LevelScale; + RepeatSize *= LevelScale; + OutScale *= InvLevelScale; + FilterWidth *= LevelScale; + } + + if(!bTurbulence) + { + // bring -1..1 to 0..1 range + Out = Out * 0.5f + 0.5f; + } + + // Out is in 0..1 range + return math::lerp(OutputMin, OutputMax, Out); +} + +// Material node for noise functions returning a vector value +// @param LevelScale usually 2 but higher values allow efficient use of few levels +// @return in user defined range (OutputMin..OutputMax) +export float4 vector4_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise"), + anno::noinline() +]] +{ + float4 result = float4(0,0,0,1); + float3 ret = float3(0); + int iQuality = int(Quality); + int iFunction = int(Function); + bool bTiling = Tiling > 0.0; + + float3x4 Jacobian = JacobianSimplex_ALU(Position, bTiling, TileSize); // compiled out if not used + + // verified, HLSL compiled out the switch if Function is a constant + switch (iFunction) + { + case 0: // Cellnoise + ret = float3(Rand3DPCG16(int3(math::floor(NoiseTileWrap(Position, bTiling, TileSize))))) / 0xffff; + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 1: // Color noise + ret = float3(Jacobian[0].w, Jacobian[1].w, Jacobian[2].w); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 2: // Gradient + result = Jacobian[0]; + break; + case 3: // Curl + ret = float3(Jacobian[2][1] - Jacobian[1][2], Jacobian[0][2] - Jacobian[2][0], Jacobian[1][0] - Jacobian[0][1]); + result = float4(ret.x, ret.y, ret.z, 1); + break; + case 4: // Voronoi + result = VoronoiNoise3D_ALU(Position, iQuality, bTiling, TileSize, false); + break; + } + return result; +} + +export float3 vector3_noise(float3 Position, float Quality, float Function, float Tiling, float TileSize) +[[ + anno::description("Vector Noise float3 version"), + anno::noinline() +]] +{ + float4 noise = vector4_noise(Position, Quality, Function, Tiling, TileSize); + return float3(noise.x, noise.y, noise.z); +} + + +// workaround for ue4 fresnel (without supporting for camera vector) : replacing it with 0.0, means facing to the view +export float fresnel(float exponent [[anno::unused()]], float base_reflect_fraction [[anno::unused()]], float3 normal [[anno::unused()]]) +[[ + anno::description("Fresnel"), + anno::noinline() +]] +{ + return 0.0; +} + +export float fresnel_function(float3 normal_vector [[anno::unused()]], float3 camera_vector [[anno::unused()]], + bool invert_fresnel [[anno::unused()]], float power [[anno::unused()]], + bool use_cheap_contrast [[anno::unused()]], float cheap_contrast_dark [[anno::unused()]], float cheap_contrast_bright [[anno::unused()]], + bool clamp_fresnel_dot_product [[anno::unused()]]) +[[ + anno::description("Fresnel Function"), + anno::noinline() +]] +{ + return 0.0; +} + +export float3 camera_vector(uniform bool up_z = true) +[[ + anno::description("Camera Vector"), + anno::noinline() +]] +{ + // assume camera postion is 0,0,0 + return math::normalize(float3(0) - convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)); +} + +export float pixel_depth() +[[ + anno::description("Pixel Depth"), + anno::noinline() +]] +{ + return 256.0f; +} + +export float scene_depth() +[[ + anno::description("Scene Depth") +]] +{ + return 65500.0f; +} + +export float3 scene_color() +[[ + anno::description("Scene Color") +]] +{ + return float3(1.0f); +} + +export float4 vertex_color() +[[ + anno::description("Vertex Color"), + anno::noinline() +]] +{ + return float4(1.0f); +} + +export float4 vertex_color_from_coordinate(int VertexColorCoordinateIndex) +[[ + anno::description("Vertex Color for float2 PrimVar"), + anno::noinline() +]] +{ + // Kit only supports 4 uv sets, 2 uvs are available to vertex color. if vertex color index is invalid, output the constant WHITE color intead + return (VertexColorCoordinateIndex > 2) ? float4(1.0f) : float4(state::texture_coordinate(VertexColorCoordinateIndex).x, state::texture_coordinate(VertexColorCoordinateIndex).y, state::texture_coordinate(VertexColorCoordinateIndex+1).x, state::texture_coordinate(VertexColorCoordinateIndex+1).y); +} + +export float3 camera_position() +[[ + anno::description("Camera Position"), + anno::noinline() +]] +{ + return float3(1000.0f, 0, 0); +} + +export float3 rotate_about_axis(float4 NormalizedRotationAxisAndAngle, float3 PositionOnAxis, float3 Position) +[[ + anno::description("Rotates Position about the given axis by the given angle") +]] +{ + // Project Position onto the rotation axis and find the closest point on the axis to Position + float3 NormalizedRotationAxis = float3(NormalizedRotationAxisAndAngle.x,NormalizedRotationAxisAndAngle.y,NormalizedRotationAxisAndAngle.z); + float3 ClosestPointOnAxis = PositionOnAxis + NormalizedRotationAxis * math::dot(NormalizedRotationAxis, Position - PositionOnAxis); + // Construct orthogonal axes in the plane of the rotation + float3 UAxis = Position - ClosestPointOnAxis; + float3 VAxis = math::cross(NormalizedRotationAxis, UAxis); + float[2] SinCosAngle = math::sincos(NormalizedRotationAxisAndAngle.w); + // Rotate using the orthogonal axes + float3 R = UAxis * SinCosAngle[1] + VAxis * SinCosAngle[0]; + // Reconstruct the rotated world space position + float3 RotatedPosition = ClosestPointOnAxis + R; + // Convert from position to a position offset + return RotatedPosition - Position; +} + +export float2 rotate_scale_offset_texcoords(float2 InTexCoords, float4 InRotationScale, float2 InOffset) +[[ + anno::description("Returns a float2 texture coordinate after 2x2 transform and offset applied") +]] +{ + return float2(math::dot(InTexCoords, float2(InRotationScale.x, InRotationScale.y)), math::dot(InTexCoords, float2(InRotationScale.z, InRotationScale.w))) + InOffset; +} + +export float3 reflection_custom_world_normal(float3 WorldNormal, bool bNormalizeInputNormal, uniform bool up_z = true) +[[ + anno::description("Reflection vector about the specified world space normal") +]] +{ + if (bNormalizeInputNormal) + { + WorldNormal = math::normalize(WorldNormal); + } + + return -camera_vector(up_z) + WorldNormal * math::dot(WorldNormal, camera_vector(up_z)) * 2.0; +} + +export float3 reflection_vector(uniform bool up_z = true) +[[ + anno::description("Reflection Vector"), + anno::noinline() +]] +{ + float3 normal = convert_to_left_hand(state::transform_normal(state::coordinate_internal,state::coordinate_world,state::normal()), up_z, false); + return reflection_custom_world_normal(normal, false, up_z); +} + +export float dither_temporalAA(float AlphaThreshold = 0.5f, float Random = 1.0f [[anno::unused()]]) +[[ + anno::description("Dither TemporalAA"), + anno::noinline() +]] +{ + return AlphaThreshold; +} + +export float3 black_body( float Temp ) +[[ + anno::description("Black Body"), + anno::noinline() +]] +{ + float u = ( 0.860117757f + 1.54118254e-4f * Temp + 1.28641212e-7f * Temp*Temp ) / ( 1.0f + 8.42420235e-4f * Temp + 7.08145163e-7f * Temp*Temp ); + float v = ( 0.317398726f + 4.22806245e-5f * Temp + 4.20481691e-8f * Temp*Temp ) / ( 1.0f - 2.89741816e-5f * Temp + 1.61456053e-7f * Temp*Temp ); + + float x = 3*u / ( 2*u - 8*v + 4 ); + float y = 2*v / ( 2*u - 8*v + 4 ); + float z = 1 - x - y; + + float Y = 1; + float X = Y/y * x; + float Z = Y/y * z; + + float3x3 XYZtoRGB = float3x3( + float3(3.2404542, -1.5371385, -0.4985314), + float3(-0.9692660, 1.8760108, 0.0415560), + float3(0.0556434, -0.2040259, 1.0572252) + ); + + return XYZtoRGB * float3( X, Y, Z ) * math::pow( 0.0004 * Temp, 4 ); +} + +export float per_instance_random(uniform texture_2d PerlinNoiseGradientTexture, int NumberInstances) +[[ + anno::description("Per Instance Random"), + anno::noinline() +]] +{ + float weight = state::object_id() / float(NumberInstances); + return NumberInstances == 0 ? 0.0 : tex::lookup_float4(PerlinNoiseGradientTexture, float2(weight, 1.0 - weight), tex::wrap_repeat, tex::wrap_repeat).x; +} + +//------------------ Hair from UE4 ----------------------- +float3 hair_absorption_to_color(float3 A) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::exp(-math::sqrt(A) * D); +} + +float3 hair_color_to_absorption(float3 C) +{ + const float B = 0.3f; + float b2 = B * B; + float b3 = B * b2; + float b4 = b2 * b2; + float b5 = B * b4; + float D = (5.969f - 0.215f * B + 2.532f * b2 - 10.73f * b3 + 5.574f * b4 + 0.245f * b5); + return math::pow(math::log(C) / D, 2.0f); +} + +export float3 get_hair_color_from_melanin(float InMelanin, float InRedness, float3 InDyeColor) +[[ + anno::description("Hair Color") +]] +{ + InMelanin = math::saturate(InMelanin); + InRedness = math::saturate(InRedness); + float Melanin = -math::log(math::max(1 - InMelanin, 0.0001f)); + float Eumelanin = Melanin * (1 - InRedness); + float Pheomelanin = Melanin * InRedness; + + float3 DyeAbsorption = hair_color_to_absorption(math::saturate(InDyeColor)); + float3 Absorption = Eumelanin * float3(0.506f, 0.841f, 1.653f) + Pheomelanin * float3(0.343f, 0.733f, 1.924f); + + return hair_absorption_to_color(Absorption + DyeAbsorption); +} + +export float3 local_object_bounds_min() +[[ + anno::description("Local Object Bounds Min"), + anno::noinline() +]] +{ + return float3(0.0); +} + +export float3 local_object_bounds_max() +[[ + anno::description("Local Object Bounds Max"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float3 object_bounds() +[[ + anno::description("Object Bounds"), + anno::noinline() +]] +{ + return float3(100.0); +} + +export float object_radius() +[[ + anno::description("Object Radius"), + anno::noinline() +]] +{ + return 100.0f; +} + +export float3 object_world_position(uniform bool up_z = true) +[[ + anno::description("Object World Position"), + anno::noinline() +]] +{ + return convert_to_left_hand(state::transform_point(state::coordinate_internal,state::coordinate_world,state::position()), up_z)*state::meters_per_scene_unit()*100.0; +} + +export float3 object_orientation() +[[ + anno::description("Object Orientation"), + anno::noinline() +]] +{ + return float3(0); +} + +export float rcp(float x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float2 rcp(float2 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float3 rcp(float3 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export float4 rcp(float4 x) +[[ + anno::description("hlsl rcp"), + anno::noinline() +]] +{ + return 1.0f / x; +} + +export int BitFieldExtractI32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractI32 int"), + anno::noinline() +]] +{ + Size &= 3; + Offset &= 3; + + if (Size == 0) + return 0; + else if (Offset + Size < 32) + return (Data << (32 - Size - Offset)) >> (32 - Size); + else + return Data >> Offset; +} + +export int BitFieldExtractI32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractI32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(int(Data), int(Size), int(Offset)); +} + +export int BitFieldExtractU32(float Data, float Size, float Offset) +[[ + anno::description("BitFieldExtractU32 float"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export int BitFieldExtractU32(int Data, int Size, int Offset) +[[ + anno::description("BitFieldExtractU32 int"), + anno::noinline() +]] +{ + return BitFieldExtractI32(Data, Size, Offset); +} + +export float3 EyeAdaptationInverseLookup(float3 LightValue, float Alpha) +[[ + anno::description("EyeAdaptationInverseLookup"), + anno::noinline() +]] +{ + float Adaptation = 1.0f; + + // When Alpha=0.0, we want to multiply by 1.0. when Alpha = 1.0, we want to multiply by 1/Adaptation. + // So the lerped value is: + // LerpLogScale = Lerp(log(1),log(1/Adaptaiton),T) + // Which is simplified as: + // LerpLogScale = Lerp(0,-log(Adaptation),T) + // LerpLogScale = -T * logAdaptation; + + float LerpLogScale = -Alpha * math::log(Adaptation); + float Scale = math::exp(LerpLogScale); + return LightValue * Scale; +} diff --git a/Shelf/BP_StorageShelf3/Materials/Textures/Basket_01a_AO.png b/Shelf/BP_StorageShelf3/Materials/Textures/Basket_01a_AO.png new file mode 100644 index 0000000000000000000000000000000000000000..908d6380c8e36cde2e5b43d7fa4f8fa43ec48ea3 --- /dev/null +++ b/Shelf/BP_StorageShelf3/Materials/Textures/Basket_01a_AO.png @@ -0,0 +1,3 @@ +version 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