NaraMotion / c_src /naramotion_perspective.cpp

Release NaraMotion v0.26.0: Structure of Arrays (SoA), Path Arena Allocator, Uniform Grid Indexing, Dual-Buffer Rendering & Centroid Spring Pop-in

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#include <cstdint>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <vector>
#include <algorithm>

#define PI 3.14159265358979323846
#define DEG_TO_RAD (PI / 180.0)
#define RAD_TO_DEG (180.0 / PI)

#ifdef _WIN32
#define BL_PERSPECTIVE_EXPORT __declspec(dllexport)
#else
#define BL_PERSPECTIVE_EXPORT __attribute__((visibility("default")))
#endif

// Blend2D C Types
typedef uint32_t BLResult;

struct BLPoint {
    double x;
    double y;
};

struct BLPathCore {
    void* impl;
};

extern "C" {
    BLResult bl_path_init(BLPathCore* self);
    BLResult bl_path_reset(BLPathCore* self);
    BLResult bl_path_clear(BLPathCore* self);
    BLResult bl_path_destroy(BLPathCore* self);
    size_t bl_path_get_size(const BLPathCore* self);
    const BLPoint* bl_path_get_vertex_data(const BLPathCore* self);
    const uint8_t* bl_path_get_command_data(const BLPathCore* self);
    BLResult bl_path_move_to(BLPathCore* self, double x0, double y0);
    BLResult bl_path_line_to(BLPathCore* self, double x1, double y1);
    BLResult bl_path_close(BLPathCore* self);
}

// 3D Camera Parameters struct
struct BLCameraParams {
    double viewport_width;
    double viewport_height;
    double fov_degrees;
    double pitch_degrees; // Tilt angle (0 = top-down, 80 = grazing horizon)
    double yaw_degrees;   // Horizontal rotation
    double roll_degrees;  // Side-to-side banking
    double distance;      // Camera distance / altitude
    double target_x;      // Focus center X
    double target_y;      // Focus center Y
    double near_clip;     // Minimum depth W before clipping
};

extern "C" {

// ============================================================================
// 1. Perspective Matrix & 3D Projector Core
// ============================================================================

static inline bool _project_single_point(
    double x, double y,
    const BLCameraParams* cam,
    double* out_sx, double* out_sy,
    double* out_depth_scale
) {
    double dx = x - cam->target_x;
    double dy = y - cam->target_y;

    double yaw_rad = cam->yaw_degrees * DEG_TO_RAD;
    double pitch_rad = cam->pitch_degrees * DEG_TO_RAD;
    double roll_rad = cam->roll_degrees * DEG_TO_RAD;

    double cos_yaw = std::cos(yaw_rad),     sin_yaw = std::sin(yaw_rad);
    double cos_pitch = std::cos(pitch_rad), sin_pitch = std::sin(pitch_rad);
    double cos_roll = std::cos(roll_rad),   sin_roll = std::sin(roll_rad);

    // 1. Yaw rotation (horizontal rotation around Z axis)
    double x1 = dx * cos_yaw - dy * sin_yaw;
    double y1 = dx * sin_yaw + dy * cos_yaw;

    // 2. Pitch rotation (tilt towards horizon)
    // Z depth along optical axis: Z = y1 * sin(pitch) + distance
    double z_cam = y1 * sin_pitch + cam->distance;
    double y_cam = y1 * cos_pitch;
    double x_cam = x1;

    // Near-plane clipping: if point is behind camera or too close to lens
    double near_plane = (cam->near_clip > 1.0) ? cam->near_clip : 10.0;
    if (z_cam <= near_plane) {
        if (out_sx) *out_sx = 0.0;
        if (out_sy) *out_sy = 0.0;
        if (out_depth_scale) *out_depth_scale = 0.0;
        return false;
    }

    // 3. Roll rotation (camera banking)
    double x_final = x_cam * cos_roll - y_cam * sin_roll;
    double y_final = x_cam * sin_roll + y_cam * cos_roll;

    // 4. Perspective Projection
    double fov_rad = cam->fov_degrees * DEG_TO_RAD;
    double f = 1.0 / std::tan(fov_rad * 0.5);
    double scale = (f * cam->viewport_height * 0.5) / z_cam;

    double sx = cam->viewport_width * 0.5 + x_final * scale;
    double sy = cam->viewport_height * 0.5 - y_final * scale;

    double depth_scale = cam->distance / z_cam;

    if (out_sx) *out_sx = sx;
    if (out_sy) *out_sy = sy;
    if (out_depth_scale) *out_depth_scale = depth_scale;

    return true;
}

BL_PERSPECTIVE_EXPORT int bl_perspective_project_point(
    double x, double y,
    const BLCameraParams* cam,
    double* out_sx, double* out_sy,
    double* out_depth_scale
) {
    if (!cam) return 0;
    return _project_single_point(x, y, cam, out_sx, out_sy, out_depth_scale) ? 1 : 0;
}

BL_PERSPECTIVE_EXPORT size_t bl_perspective_transform_points(
    const double* in_pts_xy,
    double* out_pts_xy,
    double* out_depth_scales,
    uint8_t* out_valid_mask,
    size_t count,
    const BLCameraParams* cam
) {
    if (!in_pts_xy || !out_pts_xy || !cam || count == 0) return 0;

    size_t valid_count = 0;
    for (size_t i = 0; i < count; i++) {
        double px = in_pts_xy[i * 2 + 0];
        double py = in_pts_xy[i * 2 + 1];

        double sx = 0.0, sy = 0.0, ds = 0.0;
        bool ok = _project_single_point(px, py, cam, &sx, &sy, &ds);

        out_pts_xy[i * 2 + 0] = sx;
        out_pts_xy[i * 2 + 1] = sy;
        if (out_depth_scales) out_depth_scales[i] = ds;
        if (out_valid_mask) out_valid_mask[i] = ok ? 1 : 0;

        if (ok) valid_count++;
    }

    return valid_count;
}

BL_PERSPECTIVE_EXPORT size_t bl_perspective_transform_lines(
    const double* in_lines_x1y1x2y2,
    double* out_lines_x1y1x2y2,
    double* out_depth_scales,
    uint8_t* out_valid_mask,
    size_t line_count,
    const BLCameraParams* cam
) {
    if (!in_lines_x1y1x2y2 || !out_lines_x1y1x2y2 || !cam || line_count == 0) return 0;

    size_t valid_count = 0;
    for (size_t i = 0; i < line_count; i++) {
        double x1 = in_lines_x1y1x2y2[i * 4 + 0];
        double y1 = in_lines_x1y1x2y2[i * 4 + 1];
        double x2 = in_lines_x1y1x2y2[i * 4 + 2];
        double y2 = in_lines_x1y1x2y2[i * 4 + 3];

        double sx1 = 0.0, sy1 = 0.0, ds1 = 0.0;
        double sx2 = 0.0, sy2 = 0.0, ds2 = 0.0;

        bool ok1 = _project_single_point(x1, y1, cam, &sx1, &sy1, &ds1);
        bool ok2 = _project_single_point(x2, y2, cam, &sx2, &sy2, &ds2);

        out_lines_x1y1x2y2[i * 4 + 0] = sx1;
        out_lines_x1y1x2y2[i * 4 + 1] = sy1;
        out_lines_x1y1x2y2[i * 4 + 2] = sx2;
        out_lines_x1y1x2y2[i * 4 + 3] = sy2;

        double avg_ds = (ds1 + ds2) * 0.5;
        if (out_depth_scales) out_depth_scales[i] = avg_ds;

        bool line_valid = (ok1 && ok2);
        if (out_valid_mask) out_valid_mask[i] = line_valid ? 1 : 0;

        if (line_valid) valid_count++;
    }

    return valid_count;
}

BL_PERSPECTIVE_EXPORT int bl_perspective_transform_path(
    const BLPathCore* src,
    BLPathCore* dst,
    double* out_avg_depth,
    const BLCameraParams* cam
) {
    if (!src || !dst || !cam) return -1;

    size_t count = bl_path_get_size(src);
    if (count == 0) return 0;

    const BLPoint* vtx_data = bl_path_get_vertex_data(src);
    const uint8_t* cmd_data = bl_path_get_command_data(src);

    bl_path_clear(dst);

    double total_depth = 0.0;
    size_t depth_samples = 0;
    bool in_figure = false;

    for (size_t i = 0; i < count; i++) {
        uint8_t cmd = cmd_data[i];
        double vx = vtx_data[i].x;
        double vy = vtx_data[i].y;

        if (cmd == 5) { // Close
            if (in_figure) {
                bl_path_close(dst);
                in_figure = false;
            }
            continue;
        }

        if (std::isnan(vx) || std::isnan(vy) || std::isinf(vx) || std::isinf(vy)) {
            continue;
        }

        double sx = 0.0, sy = 0.0, ds = 0.0;
        bool ok = _project_single_point(vx, vy, cam, &sx, &sy, &ds);

        if (!ok) {
            in_figure = false;
            continue;
        }

        total_depth += ds;
        depth_samples++;

        if (cmd == 0 || !in_figure) { // MoveTo
            bl_path_move_to(dst, sx, sy);
            in_figure = true;
        } else if (cmd == 1) { // LineTo
            bl_path_line_to(dst, sx, sy);
        } else {
            bl_path_line_to(dst, sx, sy);
        }
    }

    if (out_avg_depth) {
        *out_avg_depth = (depth_samples > 0) ? (total_depth / depth_samples) : 1.0;
    }

    return 0;
}


// ============================================================================
// 2. High-Performance 3D Spherical Globe Renderer (Ray-Sphere Texture Mapping)
// ============================================================================

static inline uint32_t _sample_bilinear_rgba32(
    const uint32_t* src,
    int width, int height, int stride_bytes,
    double u, double v
) {
    u = std::fmod(u, 1.0);
    if (u < 0.0) u += 1.0;

    v = std::max(0.0, std::min(1.0, v));

    double px = u * (width - 1);
    double py = v * (height - 1);

    int x0 = (int)px;
    int y0 = (int)py;
    int x1 = std::min(x0 + 1, width - 1);
    int y1 = std::min(y0 + 1, height - 1);

    double fx = px - x0;
    double fy = py - y0;

    int stride_pixels = stride_bytes / 4;
    uint32_t c00 = src[y0 * stride_pixels + x0];
    uint32_t c10 = src[y0 * stride_pixels + x1];
    uint32_t c01 = src[y1 * stride_pixels + x0];
    uint32_t c11 = src[y1 * stride_pixels + x1];

    auto unpack_lerp = [&](int shift) -> uint32_t {
        double v00 = (c00 >> shift) & 0xFF;
        double v10 = (c10 >> shift) & 0xFF;
        double v01 = (c01 >> shift) & 0xFF;
        double v11 = (c11 >> shift) & 0xFF;

        double top = v00 + (v10 - v00) * fx;
        double bot = v01 + (v11 - v01) * fx;
        double val = top + (bot - top) * fy;
        return (uint32_t)std::max(0.0, std::min(255.0, val));
    };

    uint32_t a = unpack_lerp(24);
    uint32_t r = unpack_lerp(16);
    uint32_t g = unpack_lerp(8);
    uint32_t b = unpack_lerp(0);

    return (a << 24) | (r << 16) | (g << 8) | b;
}

BL_PERSPECTIVE_EXPORT int bl_perspective_render_globe(
    uint32_t* dst_pixels,
    int dst_w, int dst_h, int dst_stride_bytes,
    const uint32_t* src_texture,
    int src_w, int src_h, int src_stride_bytes,
    double globe_cx, double globe_cy, double globe_radius,
    double rot_lon_deg, double rot_lat_deg,
    uint32_t glow_color
) {
    if (!dst_pixels || !src_texture || dst_w <= 0 || dst_h <= 0 || globe_radius <= 0.0) {
        return -1;
    }

    int dst_stride_px = dst_stride_bytes / 4;
    double r_sq = globe_radius * globe_radius;
    double inv_radius = 1.0 / globe_radius;

    double rot_lon_rad = rot_lon_deg * DEG_TO_RAD;
    double rot_lat_rad = rot_lat_deg * DEG_TO_RAD;

    double c_lat = std::cos(rot_lat_rad), s_lat = std::sin(rot_lat_rad);

    int min_y = std::max(0, (int)std::floor(globe_cy - globe_radius * 1.15));
    int max_y = std::min(dst_h - 1, (int)std::ceil(globe_cy + globe_radius * 1.15));
    int min_x = std::max(0, (int)std::floor(globe_cx - globe_radius * 1.15));
    int max_x = std::min(dst_w - 1, (int)std::ceil(globe_cx + globe_radius * 1.15));

    uint32_t glow_a = (glow_color >> 24) & 0xFF;
    uint32_t glow_r = (glow_color >> 16) & 0xFF;
    uint32_t glow_g = (glow_color >> 8) & 0xFF;
    uint32_t glow_b = glow_color & 0xFF;

    for (int y = min_y; y <= max_y; y++) {
        double dy = (double)y - globe_cy;
        double dy_sq = dy * dy;

        for (int x = min_x; x <= max_x; x++) {
            double dx = (double)x - globe_cx;
            double dist_sq = dx * dx + dy_sq;
            double dist = std::sqrt(dist_sq);

            if (dist_sq <= r_sq) {
                // Ray intersects front sphere hemisphere: z = sqrt(R^2 - x^2 - y^2)
                double dz = std::sqrt(r_sq - dist_sq);

                // Local normal (nx, ny, nz)
                double nx = dx * inv_radius;
                double ny = dy * inv_radius;
                double nz = dz * inv_radius;

                // Latitude & Longitude rotation
                double ny2 = ny * c_lat - nz * s_lat;
                double nz2 = ny * s_lat + nz * c_lat;
                double nx2 = nx;

                double lat = std::asin(std::max(-1.0, std::min(1.0, -ny2)));
                double lon = std::atan2(nx2, nz2) + rot_lon_rad;

                // Map to UV coordinates
                double u = (lon / (2.0 * PI)) + 0.5;
                double v = 0.5 - (lat / PI);

                uint32_t tex_col = _sample_bilinear_rgba32(src_texture, src_w, src_h, src_stride_bytes, u, v);

                // Shading: limb darkening & atmospheric edge glow
                double limb = 1.0 - nz;
                double shade = 0.6 + 0.4 * nz;

                uint32_t a = (tex_col >> 24) & 0xFF;
                uint32_t r = (uint32_t)(((tex_col >> 16) & 0xFF) * shade);
                uint32_t g = (uint32_t)(((tex_col >> 8) & 0xFF) * shade);
                uint32_t b = (uint32_t)((tex_col & 0xFF) * shade);

                // Add subtle atmosphere rim
                if (limb > 0.6 && glow_a > 0) {
                    double rim_factor = (limb - 0.6) / 0.4;
                    r = (uint32_t)std::min(255.0, r + glow_r * rim_factor * 0.5);
                    g = (uint32_t)std::min(255.0, g + glow_g * rim_factor * 0.5);
                    b = (uint32_t)std::min(255.0, b + glow_b * rim_factor * 0.5);
                }

                dst_pixels[y * dst_stride_px + x] = (a << 24) | (r << 16) | (g << 8) | b;
            } else if (dist < globe_radius * 1.15 && glow_a > 0) {
                // Atmospheric Outer Glow Halo
                double halo_prog = 1.0 - (dist - globe_radius) / (globe_radius * 0.15);
                double alpha_factor = std::pow(halo_prog, 2.5);

                uint32_t cur_pixel = dst_pixels[y * dst_stride_px + x];
                uint32_t cur_a = (cur_pixel >> 24) & 0xFF;
                uint32_t cur_r = (cur_pixel >> 16) & 0xFF;
                uint32_t cur_g = (cur_pixel >> 8) & 0xFF;
                uint32_t cur_b = cur_pixel & 0xFF;

                uint32_t out_r = (uint32_t)std::min(255.0, cur_r + glow_r * alpha_factor);
                uint32_t out_g = (uint32_t)std::min(255.0, cur_g + glow_g * alpha_factor);
                uint32_t out_b = (uint32_t)std::min(255.0, cur_b + glow_b * alpha_factor);
                uint32_t out_a = (uint32_t)std::min(255.0, cur_a + glow_a * alpha_factor);

                dst_pixels[y * dst_stride_px + x] = (out_a << 24) | (out_r << 16) | (out_g << 8) | out_b;
            }
        }
    }

    return 0;
}

} // extern "C"

	#include <cstdint>
	#include <cstdlib>
	#include <cstring>
	#include <cmath>
	#include <vector>
	#include <algorithm>

	#define PI 3.14159265358979323846
	#define DEG_TO_RAD (PI / 180.0)
	#define RAD_TO_DEG (180.0 / PI)

	#ifdef _WIN32
	#define BL_PERSPECTIVE_EXPORT __declspec(dllexport)
	#else
	#define BL_PERSPECTIVE_EXPORT __attribute__((visibility("default")))
	#endif

	// Blend2D C Types
	typedef uint32_t BLResult;

	struct BLPoint {
	double x;
	double y;
	};

	struct BLPathCore {
	void* impl;
	};

	extern "C" {
	BLResult bl_path_init(BLPathCore* self);
	BLResult bl_path_reset(BLPathCore* self);
	BLResult bl_path_clear(BLPathCore* self);
	BLResult bl_path_destroy(BLPathCore* self);
	size_t bl_path_get_size(const BLPathCore* self);
	const BLPoint* bl_path_get_vertex_data(const BLPathCore* self);
	const uint8_t* bl_path_get_command_data(const BLPathCore* self);
	BLResult bl_path_move_to(BLPathCore* self, double x0, double y0);
	BLResult bl_path_line_to(BLPathCore* self, double x1, double y1);
	BLResult bl_path_close(BLPathCore* self);
	}

	// 3D Camera Parameters struct
	struct BLCameraParams {
	double viewport_width;
	double viewport_height;
	double fov_degrees;
	double pitch_degrees; // Tilt angle (0 = top-down, 80 = grazing horizon)
	double yaw_degrees; // Horizontal rotation
	double roll_degrees; // Side-to-side banking
	double distance; // Camera distance / altitude
	double target_x; // Focus center X
	double target_y; // Focus center Y
	double near_clip; // Minimum depth W before clipping
	};

	extern "C" {

	// ============================================================================
	// 1. Perspective Matrix & 3D Projector Core
	// ============================================================================

	static inline bool _project_single_point(
	double x, double y,
	const BLCameraParams* cam,
	double* out_sx, double* out_sy,
	double* out_depth_scale
	) {
	double dx = x - cam->target_x;
	double dy = y - cam->target_y;

	double yaw_rad = cam->yaw_degrees * DEG_TO_RAD;
	double pitch_rad = cam->pitch_degrees * DEG_TO_RAD;
	double roll_rad = cam->roll_degrees * DEG_TO_RAD;

	double cos_yaw = std::cos(yaw_rad), sin_yaw = std::sin(yaw_rad);
	double cos_pitch = std::cos(pitch_rad), sin_pitch = std::sin(pitch_rad);
	double cos_roll = std::cos(roll_rad), sin_roll = std::sin(roll_rad);

	// 1. Yaw rotation (horizontal rotation around Z axis)
	double x1 = dx * cos_yaw - dy * sin_yaw;
	double y1 = dx * sin_yaw + dy * cos_yaw;

	// 2. Pitch rotation (tilt towards horizon)
	// Z depth along optical axis: Z = y1 * sin(pitch) + distance
	double z_cam = y1 * sin_pitch + cam->distance;
	double y_cam = y1 * cos_pitch;
	double x_cam = x1;

	// Near-plane clipping: if point is behind camera or too close to lens
	double near_plane = (cam->near_clip > 1.0) ? cam->near_clip : 10.0;
	if (z_cam <= near_plane) {
	if (out_sx) *out_sx = 0.0;
	if (out_sy) *out_sy = 0.0;
	if (out_depth_scale) *out_depth_scale = 0.0;
	return false;
	}

	// 3. Roll rotation (camera banking)
	double x_final = x_cam * cos_roll - y_cam * sin_roll;
	double y_final = x_cam * sin_roll + y_cam * cos_roll;

	// 4. Perspective Projection
	double fov_rad = cam->fov_degrees * DEG_TO_RAD;
	double f = 1.0 / std::tan(fov_rad * 0.5);
	double scale = (f * cam->viewport_height * 0.5) / z_cam;

	double sx = cam->viewport_width * 0.5 + x_final * scale;
	double sy = cam->viewport_height * 0.5 - y_final * scale;

	double depth_scale = cam->distance / z_cam;

	if (out_sx) *out_sx = sx;
	if (out_sy) *out_sy = sy;
	if (out_depth_scale) *out_depth_scale = depth_scale;

	return true;
	}

	BL_PERSPECTIVE_EXPORT int bl_perspective_project_point(
	double x, double y,
	const BLCameraParams* cam,
	double* out_sx, double* out_sy,
	double* out_depth_scale
	) {
	if (!cam) return 0;
	return _project_single_point(x, y, cam, out_sx, out_sy, out_depth_scale) ? 1 : 0;
	}

	BL_PERSPECTIVE_EXPORT size_t bl_perspective_transform_points(
	const double* in_pts_xy,
	double* out_pts_xy,
	double* out_depth_scales,
	uint8_t* out_valid_mask,
	size_t count,
	const BLCameraParams* cam
	) {
	if (!in_pts_xy \|\| !out_pts_xy \|\| !cam \|\| count == 0) return 0;

	size_t valid_count = 0;
	for (size_t i = 0; i < count; i++) {
	double px = in_pts_xy[i * 2 + 0];
	double py = in_pts_xy[i * 2 + 1];

	double sx = 0.0, sy = 0.0, ds = 0.0;
	bool ok = _project_single_point(px, py, cam, &sx, &sy, &ds);

	out_pts_xy[i * 2 + 0] = sx;
	out_pts_xy[i * 2 + 1] = sy;
	if (out_depth_scales) out_depth_scales[i] = ds;
	if (out_valid_mask) out_valid_mask[i] = ok ? 1 : 0;

	if (ok) valid_count++;
	}

	return valid_count;
	}

	BL_PERSPECTIVE_EXPORT size_t bl_perspective_transform_lines(
	const double* in_lines_x1y1x2y2,
	double* out_lines_x1y1x2y2,
	double* out_depth_scales,
	uint8_t* out_valid_mask,
	size_t line_count,
	const BLCameraParams* cam
	) {
	if (!in_lines_x1y1x2y2 \|\| !out_lines_x1y1x2y2 \|\| !cam \|\| line_count == 0) return 0;

	size_t valid_count = 0;
	for (size_t i = 0; i < line_count; i++) {
	double x1 = in_lines_x1y1x2y2[i * 4 + 0];
	double y1 = in_lines_x1y1x2y2[i * 4 + 1];
	double x2 = in_lines_x1y1x2y2[i * 4 + 2];
	double y2 = in_lines_x1y1x2y2[i * 4 + 3];

	double sx1 = 0.0, sy1 = 0.0, ds1 = 0.0;
	double sx2 = 0.0, sy2 = 0.0, ds2 = 0.0;

	bool ok1 = _project_single_point(x1, y1, cam, &sx1, &sy1, &ds1);
	bool ok2 = _project_single_point(x2, y2, cam, &sx2, &sy2, &ds2);

	out_lines_x1y1x2y2[i * 4 + 0] = sx1;
	out_lines_x1y1x2y2[i * 4 + 1] = sy1;
	out_lines_x1y1x2y2[i * 4 + 2] = sx2;
	out_lines_x1y1x2y2[i * 4 + 3] = sy2;

	double avg_ds = (ds1 + ds2) * 0.5;
	if (out_depth_scales) out_depth_scales[i] = avg_ds;

	bool line_valid = (ok1 && ok2);
	if (out_valid_mask) out_valid_mask[i] = line_valid ? 1 : 0;

	if (line_valid) valid_count++;
	}

	return valid_count;
	}

	BL_PERSPECTIVE_EXPORT int bl_perspective_transform_path(
	const BLPathCore* src,
	BLPathCore* dst,
	double* out_avg_depth,
	const BLCameraParams* cam
	) {
	if (!src \|\| !dst \|\| !cam) return -1;

	size_t count = bl_path_get_size(src);
	if (count == 0) return 0;

	const BLPoint* vtx_data = bl_path_get_vertex_data(src);
	const uint8_t* cmd_data = bl_path_get_command_data(src);

	bl_path_clear(dst);

	double total_depth = 0.0;
	size_t depth_samples = 0;
	bool in_figure = false;

	for (size_t i = 0; i < count; i++) {
	uint8_t cmd = cmd_data[i];
	double vx = vtx_data[i].x;
	double vy = vtx_data[i].y;

	if (cmd == 5) { // Close
	if (in_figure) {
	bl_path_close(dst);
	in_figure = false;
	}
	continue;
	}

	if (std::isnan(vx) \|\| std::isnan(vy) \|\| std::isinf(vx) \|\| std::isinf(vy)) {
	continue;
	}

	double sx = 0.0, sy = 0.0, ds = 0.0;
	bool ok = _project_single_point(vx, vy, cam, &sx, &sy, &ds);

	if (!ok) {
	in_figure = false;
	continue;
	}

	total_depth += ds;
	depth_samples++;

	if (cmd == 0 \|\| !in_figure) { // MoveTo
	bl_path_move_to(dst, sx, sy);
	in_figure = true;
	} else if (cmd == 1) { // LineTo
	bl_path_line_to(dst, sx, sy);
	} else {
	bl_path_line_to(dst, sx, sy);
	}
	}

	if (out_avg_depth) {
	*out_avg_depth = (depth_samples > 0) ? (total_depth / depth_samples) : 1.0;
	}

	return 0;
	}


	// ============================================================================
	// 2. High-Performance 3D Spherical Globe Renderer (Ray-Sphere Texture Mapping)
	// ============================================================================

	static inline uint32_t _sample_bilinear_rgba32(
	const uint32_t* src,
	int width, int height, int stride_bytes,
	double u, double v
	) {
	u = std::fmod(u, 1.0);
	if (u < 0.0) u += 1.0;

	v = std::max(0.0, std::min(1.0, v));

	double px = u * (width - 1);
	double py = v * (height - 1);

	int x0 = (int)px;
	int y0 = (int)py;
	int x1 = std::min(x0 + 1, width - 1);
	int y1 = std::min(y0 + 1, height - 1);

	double fx = px - x0;
	double fy = py - y0;

	int stride_pixels = stride_bytes / 4;
	uint32_t c00 = src[y0 * stride_pixels + x0];
	uint32_t c10 = src[y0 * stride_pixels + x1];
	uint32_t c01 = src[y1 * stride_pixels + x0];
	uint32_t c11 = src[y1 * stride_pixels + x1];

	auto unpack_lerp = [&](int shift) -> uint32_t {
	double v00 = (c00 >> shift) & 0xFF;
	double v10 = (c10 >> shift) & 0xFF;
	double v01 = (c01 >> shift) & 0xFF;
	double v11 = (c11 >> shift) & 0xFF;

	double top = v00 + (v10 - v00) * fx;
	double bot = v01 + (v11 - v01) * fx;
	double val = top + (bot - top) * fy;
	return (uint32_t)std::max(0.0, std::min(255.0, val));
	};

	uint32_t a = unpack_lerp(24);
	uint32_t r = unpack_lerp(16);
	uint32_t g = unpack_lerp(8);
	uint32_t b = unpack_lerp(0);

	return (a << 24) \| (r << 16) \| (g << 8) \| b;
	}

	BL_PERSPECTIVE_EXPORT int bl_perspective_render_globe(
	uint32_t* dst_pixels,
	int dst_w, int dst_h, int dst_stride_bytes,
	const uint32_t* src_texture,
	int src_w, int src_h, int src_stride_bytes,
	double globe_cx, double globe_cy, double globe_radius,
	double rot_lon_deg, double rot_lat_deg,
	uint32_t glow_color
	) {
	if (!dst_pixels \|\| !src_texture \|\| dst_w <= 0 \|\| dst_h <= 0 \|\| globe_radius <= 0.0) {
	return -1;
	}

	int dst_stride_px = dst_stride_bytes / 4;
	double r_sq = globe_radius * globe_radius;
	double inv_radius = 1.0 / globe_radius;

	double rot_lon_rad = rot_lon_deg * DEG_TO_RAD;
	double rot_lat_rad = rot_lat_deg * DEG_TO_RAD;

	double c_lat = std::cos(rot_lat_rad), s_lat = std::sin(rot_lat_rad);

	int min_y = std::max(0, (int)std::floor(globe_cy - globe_radius * 1.15));
	int max_y = std::min(dst_h - 1, (int)std::ceil(globe_cy + globe_radius * 1.15));
	int min_x = std::max(0, (int)std::floor(globe_cx - globe_radius * 1.15));
	int max_x = std::min(dst_w - 1, (int)std::ceil(globe_cx + globe_radius * 1.15));

	uint32_t glow_a = (glow_color >> 24) & 0xFF;
	uint32_t glow_r = (glow_color >> 16) & 0xFF;
	uint32_t glow_g = (glow_color >> 8) & 0xFF;
	uint32_t glow_b = glow_color & 0xFF;

	for (int y = min_y; y <= max_y; y++) {
	double dy = (double)y - globe_cy;
	double dy_sq = dy * dy;

	for (int x = min_x; x <= max_x; x++) {
	double dx = (double)x - globe_cx;
	double dist_sq = dx * dx + dy_sq;
	double dist = std::sqrt(dist_sq);

	if (dist_sq <= r_sq) {
	// Ray intersects front sphere hemisphere: z = sqrt(R^2 - x^2 - y^2)
	double dz = std::sqrt(r_sq - dist_sq);

	// Local normal (nx, ny, nz)
	double nx = dx * inv_radius;
	double ny = dy * inv_radius;
	double nz = dz * inv_radius;

	// Latitude & Longitude rotation
	double ny2 = ny * c_lat - nz * s_lat;
	double nz2 = ny * s_lat + nz * c_lat;
	double nx2 = nx;

	double lat = std::asin(std::max(-1.0, std::min(1.0, -ny2)));
	double lon = std::atan2(nx2, nz2) + rot_lon_rad;

	// Map to UV coordinates
	double u = (lon / (2.0 * PI)) + 0.5;
	double v = 0.5 - (lat / PI);

	uint32_t tex_col = _sample_bilinear_rgba32(src_texture, src_w, src_h, src_stride_bytes, u, v);

	// Shading: limb darkening & atmospheric edge glow
	double limb = 1.0 - nz;
	double shade = 0.6 + 0.4 * nz;

	uint32_t a = (tex_col >> 24) & 0xFF;
	uint32_t r = (uint32_t)(((tex_col >> 16) & 0xFF) * shade);
	uint32_t g = (uint32_t)(((tex_col >> 8) & 0xFF) * shade);
	uint32_t b = (uint32_t)((tex_col & 0xFF) * shade);

	// Add subtle atmosphere rim
	if (limb > 0.6 && glow_a > 0) {
	double rim_factor = (limb - 0.6) / 0.4;
	r = (uint32_t)std::min(255.0, r + glow_r * rim_factor * 0.5);
	g = (uint32_t)std::min(255.0, g + glow_g * rim_factor * 0.5);
	b = (uint32_t)std::min(255.0, b + glow_b * rim_factor * 0.5);
	}

	dst_pixels[y * dst_stride_px + x] = (a << 24) \| (r << 16) \| (g << 8) \| b;
	} else if (dist < globe_radius * 1.15 && glow_a > 0) {
	// Atmospheric Outer Glow Halo
	double halo_prog = 1.0 - (dist - globe_radius) / (globe_radius * 0.15);
	double alpha_factor = std::pow(halo_prog, 2.5);

	uint32_t cur_pixel = dst_pixels[y * dst_stride_px + x];
	uint32_t cur_a = (cur_pixel >> 24) & 0xFF;
	uint32_t cur_r = (cur_pixel >> 16) & 0xFF;
	uint32_t cur_g = (cur_pixel >> 8) & 0xFF;
	uint32_t cur_b = cur_pixel & 0xFF;

	uint32_t out_r = (uint32_t)std::min(255.0, cur_r + glow_r * alpha_factor);
	uint32_t out_g = (uint32_t)std::min(255.0, cur_g + glow_g * alpha_factor);
	uint32_t out_b = (uint32_t)std::min(255.0, cur_b + glow_b * alpha_factor);
	uint32_t out_a = (uint32_t)std::min(255.0, cur_a + glow_a * alpha_factor);

	dst_pixels[y * dst_stride_px + x] = (out_a << 24) \| (out_r << 16) \| (out_g << 8) \| out_b;
	}
	}
	}

	return 0;
	}

	} // extern "C"