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# NVIDIA CORPORATION and its licensors retain all intellectual property
# and proprietary rights in and to this software, related documentation
# and any modifications thereto. Any use, reproduction, disclosure or
# distribution of this software and related documentation without an express
# license agreement from NVIDIA CORPORATION is strictly prohibited.
import os
import xml.etree.ElementTree as ET
from typing import Union
import numpy as np
import warp as wp
from warp.sim.model import Mesh
def parse_urdf(
urdf_filename,
builder,
xform=wp.transform(),
floating=False,
base_joint: Union[dict, str] = None,
density=1000.0,
stiffness=100.0,
damping=10.0,
armature=0.0,
shape_ke=1.0e4,
shape_kd=1.0e3,
shape_kf=1.0e2,
shape_mu=0.25,
shape_restitution=0.5,
shape_thickness=0.0,
limit_ke=100.0,
limit_kd=10.0,
scale=1.0,
parse_visuals_as_colliders=False,
enable_self_collisions=True,
ignore_inertial_definitions=True,
ensure_nonstatic_links=True,
static_link_mass=1e-2,
collapse_fixed_joints=False,
):
"""
Parses a URDF file and adds the bodies and joints to the given ModelBuilder.
Args:
urdf_filename (str): The filename of the URDF file to parse.
builder (ModelBuilder): The :class:`ModelBuilder` to add the bodies and joints to.
xform (:ref:`transform <transform>`): The transform to apply to the root body.
floating (bool): If True, the root body is a free joint. If False, the root body is connected via a fixed joint to the world, unless a `base_joint` is defined.
base_joint (Union[str, dict]): The joint by which the root body is connected to the world. This can be either a string defining the joint axes of a D6 joint with comma-separated positional and angular axis names (e.g. "px,py,rz" for a D6 joint with linear axes in x, y and an angular axis in z) or a dict with joint parameters (see :meth:`ModelBuilder.add_joint`).
density (float): The density of the shapes in kg/m^3 which will be used to calculate the body mass and inertia.
stiffness (float): The stiffness of the joints.
damping (float): The damping of the joints.
armature (float): The armature of the joints (bias to add to the inertia diagonals that may stabilize the simulation).
shape_ke (float): The stiffness of the shape contacts (used by SemiImplicitIntegrator).
shape_kd (float): The damping of the shape contacts (used by SemiImplicitIntegrator).
shape_kf (float): The friction stiffness of the shape contacts (used by SemiImplicitIntegrator).
shape_mu (float): The friction coefficient of the shape contacts.
shape_restitution (float): The restitution coefficient of the shape contacts.
shape_thickness (float): The thickness to add to the shape geometry.
limit_ke (float): The stiffness of the joint limits (used by SemiImplicitIntegrator).
limit_kd (float): The damping of the joint limits (used by SemiImplicitIntegrator).
scale (float): The scaling factor to apply to the imported mechanism.
parse_visuals_as_colliders (bool): If True, the geometry defined under the `<visual>` tags is used for collision handling instead of the `<collision>` geoemtries.
enable_self_collisions (bool): If True, self-collisions are enabled.
ignore_inertial_definitions (bool): If True, the inertial parameters defined in the URDF are ignored and the inertia is calculated from the shape geometry.
ensure_nonstatic_links (bool): If True, links with zero mass are given a small mass (see `static_link_mass`) to ensure they are dynamic.
static_link_mass (float): The mass to assign to links with zero mass (if `ensure_nonstatic_links` is set to True).
collapse_fixed_joints (bool): If True, fixed joints are removed and the respective bodies are merged.
"""
file = ET.parse(urdf_filename)
root = file.getroot()
def parse_transform(element):
if element is None or element.find("origin") is None:
return wp.transform()
origin = element.find("origin")
xyz = origin.get("xyz") or "0 0 0"
rpy = origin.get("rpy") or "0 0 0"
xyz = [float(x) * scale for x in xyz.split()]
rpy = [float(x) for x in rpy.split()]
return wp.transform(xyz, wp.quat_rpy(*rpy))
def parse_shapes(link, collisions, density, incoming_xform=None):
# add geometry
for collision in collisions:
geo = collision.find("geometry")
if geo is None:
continue
tf = parse_transform(collision)
if incoming_xform is not None:
tf = incoming_xform * tf
for box in geo.findall("box"):
size = box.get("size") or "1 1 1"
size = [float(x) for x in size.split()]
builder.add_shape_box(
body=link,
pos=wp.vec3(tf.p),
rot=wp.quat(tf.q),
hx=size[0] * 0.5 * scale,
hy=size[1] * 0.5 * scale,
hz=size[2] * 0.5 * scale,
density=density,
ke=shape_ke,
kd=shape_kd,
kf=shape_kf,
mu=shape_mu,
restitution=shape_restitution,
thickness=shape_thickness,
)
for sphere in geo.findall("sphere"):
builder.add_shape_sphere(
body=link,
pos=wp.vec3(tf.p),
rot=wp.quat(tf.q),
radius=float(sphere.get("radius") or "1") * scale,
density=density,
ke=shape_ke,
kd=shape_kd,
kf=shape_kf,
mu=shape_mu,
restitution=shape_restitution,
thickness=shape_thickness,
)
for cylinder in geo.findall("cylinder"):
builder.add_shape_capsule(
body=link,
pos=wp.vec3(tf.p),
rot=wp.quat(tf.q),
radius=float(cylinder.get("radius") or "1") * scale,
half_height=float(cylinder.get("length") or "1") * 0.5 * scale,
density=density,
ke=shape_ke,
kd=shape_kd,
kf=shape_kf,
mu=shape_mu,
up_axis=2, # cylinders in URDF are aligned with z-axis
restitution=shape_restitution,
thickness=shape_thickness,
)
for mesh in geo.findall("mesh"):
filename = mesh.get("filename")
if filename is None:
continue
if filename.startswith("http://") or filename.startswith("https://"):
# download mesh
import shutil
import tempfile
import requests
with tempfile.TemporaryDirectory() as tmpdir:
# get filename extension
extension = os.path.splitext(filename)[1]
tmpfile = os.path.join(tmpdir, "mesh" + extension)
with requests.get(filename, stream=True) as r:
with open(tmpfile, "wb") as f:
shutil.copyfileobj(r.raw, f)
filename = tmpfile
else:
filename = os.path.join(os.path.dirname(urdf_filename), filename)
if not os.path.exists(filename):
wp.utils.warn(f"Warning: mesh file {filename} does not exist")
continue
import trimesh
m = trimesh.load_mesh(filename)
scaling = mesh.get("scale") or "1 1 1"
scaling = np.array([float(x) * scale for x in scaling.split()])
if hasattr(m, "geometry"):
# multiple meshes are contained in a scene
for geom in m.geometry.values():
vertices = np.array(geom.vertices, dtype=np.float32) * scaling
faces = np.array(geom.faces.flatten(), dtype=np.int32)
mesh = Mesh(vertices, faces)
builder.add_shape_mesh(
body=link,
pos=wp.vec3(tf.p),
rot=wp.quat(tf.q),
mesh=mesh,
density=density,
ke=shape_ke,
kd=shape_kd,
kf=shape_kf,
mu=shape_mu,
restitution=shape_restitution,
thickness=shape_thickness,
)
else:
# a single mesh
vertices = np.array(m.vertices, dtype=np.float32) * scaling
faces = np.array(m.faces.flatten(), dtype=np.int32)
mesh = Mesh(vertices, faces)
builder.add_shape_mesh(
body=link,
pos=tf.p,
rot=tf.q,
mesh=mesh,
density=density,
ke=shape_ke,
kd=shape_kd,
kf=shape_kf,
mu=shape_mu,
restitution=shape_restitution,
thickness=shape_thickness,
)
# maps from link name -> link index
link_index = {}
builder.add_articulation()
start_shape_count = len(builder.shape_geo_type)
# add links
for i, urdf_link in enumerate(root.findall("link")):
if parse_visuals_as_colliders:
colliders = urdf_link.findall("visual")
else:
colliders = urdf_link.findall("collision")
name = urdf_link.get("name")
link = builder.add_body(origin=wp.transform_identity(), armature=armature, name=name)
# add ourselves to the index
link_index[name] = link
parse_shapes(link, colliders, density=density)
m = builder.body_mass[link]
if not ignore_inertial_definitions and urdf_link.find("inertial") is not None:
# overwrite inertial parameters if defined
inertial = urdf_link.find("inertial")
inertial_frame = parse_transform(inertial)
com = inertial_frame.p
I_m = np.zeros((3, 3))
I_m[0, 0] = float(inertial.find("inertia").get("ixx") or "0") * scale**2
I_m[1, 1] = float(inertial.find("inertia").get("iyy") or "0") * scale**2
I_m[2, 2] = float(inertial.find("inertia").get("izz") or "0") * scale**2
I_m[0, 1] = float(inertial.find("inertia").get("ixy") or "0") * scale**2
I_m[0, 2] = float(inertial.find("inertia").get("ixz") or "0") * scale**2
I_m[1, 2] = float(inertial.find("inertia").get("iyz") or "0") * scale**2
I_m[1, 0] = I_m[0, 1]
I_m[2, 0] = I_m[0, 2]
I_m[2, 1] = I_m[1, 2]
rot = wp.quat_to_matrix(inertial_frame.q)
I_m = rot @ wp.mat33(I_m)
m = float(inertial.find("mass").get("value") or "0")
builder.body_mass[link] = m
builder.body_inv_mass[link] = 1.0 / m
builder.body_com[link] = com
builder.body_inertia[link] = I_m
builder.body_inv_inertia[link] = wp.inverse(I_m)
if m == 0.0 and ensure_nonstatic_links:
# set the mass to something nonzero to ensure the body is dynamic
m = static_link_mass
# cube with side length 0.5
I_m = wp.mat33(np.eye(3)) * m / 12.0 * (0.5 * scale) ** 2 * 2.0
builder.body_mass[link] = m
builder.body_inv_mass[link] = 1.0 / m
builder.body_inertia[link] = I_m
builder.body_inv_inertia[link] = wp.inverse(I_m)
end_shape_count = len(builder.shape_geo_type)
# find joints per body
body_children = {name: [] for name in link_index.keys()}
# mapping from parent, child link names to joint
parent_child_joint = {}
joints = []
for joint in root.findall("joint"):
parent = joint.find("parent").get("link")
child = joint.find("child").get("link")
body_children[parent].append(child)
joint_data = {
"name": joint.get("name"),
"parent": parent,
"child": child,
"type": joint.get("type"),
"origin": parse_transform(joint),
"damping": damping,
"friction": 0.0,
"limit_lower": -1.0e6,
"limit_upper": 1.0e6,
}
if joint.find("axis") is not None:
joint_data["axis"] = joint.find("axis").get("xyz")
joint_data["axis"] = np.array([float(x) for x in joint_data["axis"].split()])
if joint.find("dynamics") is not None:
dynamics = joint.find("dynamics")
joint_data["damping"] = float(dynamics.get("damping") or str(damping))
joint_data["friction"] = float(dynamics.get("friction") or "0")
if joint.find("limit") is not None:
limit = joint.find("limit")
joint_data["limit_lower"] = float(limit.get("lower") or "-1e6")
joint_data["limit_upper"] = float(limit.get("upper") or "1e6")
if joint.find("mimic") is not None:
mimic = joint.find("mimic")
joint_data["mimic_joint"] = mimic.get("joint")
joint_data["mimic_multiplier"] = float(mimic.get("multiplier") or "1")
joint_data["mimic_offset"] = float(mimic.get("offset") or "0")
parent_child_joint[(parent, child)] = joint_data
joints.append(joint_data)
# topological sorting of joints because the FK solver will resolve body transforms
# in joint order and needs the parent link transform to be resolved before the child
visited = {name: False for name in link_index.keys()}
sorted_joints = []
# depth-first search
def dfs(joint):
link = joint["child"]
if visited[link]:
return
visited[link] = True
for child in body_children[link]:
if not visited[child]:
dfs(parent_child_joint[(link, child)])
sorted_joints.insert(0, joint)
# start DFS from each unvisited joint
for joint in joints:
if not visited[joint["parent"]]:
dfs(joint)
# add base joint
if len(sorted_joints) > 0:
base_link_name = sorted_joints[0]["parent"]
else:
base_link_name = next(iter(link_index.keys()))
root = link_index[base_link_name]
if base_joint is not None:
# in case of a given base joint, the position is applied first, the rotation only
# after the base joint itself to not rotate its axis
base_parent_xform = wp.transform(xform.p, wp.quat_identity())
base_child_xform = wp.transform((0.0, 0.0, 0.0), wp.quat_inverse(xform.q))
if isinstance(base_joint, str):
axes = base_joint.lower().split(",")
axes = [ax.strip() for ax in axes]
linear_axes = [ax[-1] for ax in axes if ax[0] in {"l", "p"}]
angular_axes = [ax[-1] for ax in axes if ax[0] in {"a", "r"}]
axes = {
"x": [1.0, 0.0, 0.0],
"y": [0.0, 1.0, 0.0],
"z": [0.0, 0.0, 1.0],
}
builder.add_joint_d6(
linear_axes=[wp.sim.JointAxis(axes[a]) for a in linear_axes],
angular_axes=[wp.sim.JointAxis(axes[a]) for a in angular_axes],
parent_xform=base_parent_xform,
child_xform=base_child_xform,
parent=-1,
child=root,
name="base_joint",
)
elif isinstance(base_joint, dict):
base_joint["parent"] = -1
base_joint["child"] = root
base_joint["parent_xform"] = base_parent_xform
base_joint["child_xform"] = base_child_xform
base_joint["name"] = "base_joint"
builder.add_joint(**base_joint)
else:
raise ValueError(
"base_joint must be a comma-separated string of joint axes or a dict with joint parameters"
)
elif floating:
builder.add_joint_free(root, name="floating_base")
# set dofs to transform
start = builder.joint_q_start[root]
builder.joint_q[start + 0] = xform.p[0]
builder.joint_q[start + 1] = xform.p[1]
builder.joint_q[start + 2] = xform.p[2]
builder.joint_q[start + 3] = xform.q[0]
builder.joint_q[start + 4] = xform.q[1]
builder.joint_q[start + 5] = xform.q[2]
builder.joint_q[start + 6] = xform.q[3]
else:
builder.add_joint_fixed(-1, root, parent_xform=xform, name="fixed_base")
# add joints, in topological order starting from root body
for joint in sorted_joints:
parent = link_index[joint["parent"]]
child = link_index[joint["child"]]
if child == -1:
# we skipped the insertion of the child body
continue
lower = joint["limit_lower"]
upper = joint["limit_upper"]
joint_damping = joint["damping"]
parent_xform = joint["origin"]
child_xform = wp.transform_identity()
joint_mode = wp.sim.JOINT_MODE_LIMIT
if stiffness > 0.0:
joint_mode = wp.sim.JOINT_MODE_TARGET_POSITION
joint_params = dict(
parent=parent,
child=child,
parent_xform=parent_xform,
child_xform=child_xform,
name=joint["name"],
)
if joint["type"] == "revolute" or joint["type"] == "continuous":
builder.add_joint_revolute(
axis=joint["axis"],
target_ke=stiffness,
target_kd=joint_damping,
limit_lower=lower,
limit_upper=upper,
limit_ke=limit_ke,
limit_kd=limit_kd,
mode=joint_mode,
**joint_params,
)
elif joint["type"] == "prismatic":
builder.add_joint_prismatic(
axis=joint["axis"],
target_ke=stiffness,
target_kd=joint_damping,
limit_lower=lower * scale,
limit_upper=upper * scale,
limit_ke=limit_ke,
limit_kd=limit_kd,
mode=joint_mode,
**joint_params,
)
elif joint["type"] == "fixed":
builder.add_joint_fixed(**joint_params)
elif joint["type"] == "floating":
builder.add_joint_free(**joint_params)
elif joint["type"] == "planar":
# find plane vectors perpendicular to axis
axis = np.array(joint["axis"])
axis /= np.linalg.norm(axis)
# create helper vector that is not parallel to the axis
helper = np.array([1, 0, 0]) if np.allclose(axis, [0, 1, 0]) else np.array([0, 1, 0])
u = np.cross(helper, axis)
u /= np.linalg.norm(u)
v = np.cross(axis, u)
v /= np.linalg.norm(v)
builder.add_joint_d6(
linear_axes=[
wp.sim.JointAxis(
u, limit_lower=lower * scale, limit_upper=upper * scale, limit_ke=limit_ke, limit_kd=limit_kd
),
wp.sim.JointAxis(
v, limit_lower=lower * scale, limit_upper=upper * scale, limit_ke=limit_ke, limit_kd=limit_kd
),
],
**joint_params,
)
else:
raise Exception("Unsupported joint type: " + joint["type"])
if not enable_self_collisions:
for i in range(start_shape_count, end_shape_count):
for j in range(i + 1, end_shape_count):
builder.shape_collision_filter_pairs.add((i, j))
if collapse_fixed_joints:
builder.collapse_fixed_joints()
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