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24.5 kB
| """Shared helpers to rebuild robot USDs whose joints and links match a URDF.""" | |
| import math | |
| import xml.etree.ElementTree as ET | |
| import numpy as np | |
| from pxr import Gf, Sdf, Usd, UsdGeom, UsdPhysics, Vt | |
| # ---------------------------------------------------------------- URDF | |
| def _origin(el): | |
| xyz = [float(v) for v in (el.get("xyz", "0 0 0") if el is not None else "0 0 0").split()] | |
| rpy = [float(v) for v in (el.get("rpy", "0 0 0") if el is not None else "0 0 0").split()] | |
| cr, sr = math.cos(rpy[0]), math.sin(rpy[0]) | |
| cp, sp = math.cos(rpy[1]), math.sin(rpy[1]) | |
| cy, sy = math.cos(rpy[2]), math.sin(rpy[2]) | |
| T = np.eye(4) | |
| T[:3, :3] = [ | |
| [cy * cp, cy * sp * sr - sy * cr, cy * sp * cr + sy * sr], | |
| [sy * cp, sy * sp * sr + cy * cr, sy * sp * cr - cy * sr], | |
| [-sp, cp * sr, cp * cr], | |
| ] | |
| T[:3, 3] = xyz | |
| return T | |
| def _rot(axis, angle): | |
| axis = np.asarray(axis, float) | |
| axis = axis / np.linalg.norm(axis) | |
| x, y, z = axis | |
| c, s, C = math.cos(angle), math.sin(angle), 1 - math.cos(angle) | |
| T = np.eye(4) | |
| T[:3, :3] = [ | |
| [c + x * x * C, x * y * C - z * s, x * z * C + y * s], | |
| [y * x * C + z * s, c + y * y * C, y * z * C - x * s], | |
| [z * x * C - y * s, z * y * C + x * s, c + z * z * C], | |
| ] | |
| return T | |
| def _trans(v): | |
| T = np.eye(4) | |
| T[:3, 3] = v | |
| return T | |
| def urdf_joints(path): | |
| root = ET.parse(path).getroot() | |
| joints = [] | |
| for j in root.findall("joint"): | |
| axis = j.find("axis") | |
| lim = j.find("limit") | |
| mimic = j.find("mimic") | |
| joints.append( | |
| { | |
| "name": j.get("name"), | |
| "type": j.get("type"), | |
| "parent": j.find("parent").get("link"), | |
| "child": j.find("child").get("link"), | |
| "origin": _origin(j.find("origin")), | |
| "axis": [float(v) for v in axis.get("xyz").split()] if axis is not None else [1, 0, 0], | |
| "limit": (float(lim.get("lower", 0)), float(lim.get("upper", 0))) if lim is not None else None, | |
| "mimic": (mimic.get("joint"), float(mimic.get("multiplier", 1)), float(mimic.get("offset", 0))) | |
| if mimic is not None | |
| else None, | |
| } | |
| ) | |
| links = [l.get("name") for l in root.findall("link")] | |
| return links, joints | |
| def urdf_fk(path, q): | |
| """World pose of every link for joint values `q` (radians / meters).""" | |
| links, joints = urdf_joints(path) | |
| by_child = {j["child"]: j for j in joints} | |
| out = {} | |
| def value(j): | |
| if j["mimic"]: | |
| name, mult, off = j["mimic"] | |
| return q.get(name, 0.0) * mult + off | |
| return q.get(j["name"], 0.0) | |
| def world(link): | |
| if link in out: | |
| return out[link] | |
| j = by_child.get(link) | |
| if j is None: | |
| out[link] = np.eye(4) | |
| return out[link] | |
| T = world(j["parent"]) @ j["origin"] | |
| if j["type"] in ("revolute", "continuous"): | |
| T = T @ _rot(j["axis"], value(j)) | |
| elif j["type"] == "prismatic": | |
| T = T @ _trans(np.asarray(j["axis"], float) * value(j)) | |
| out[link] = T | |
| return T | |
| for l in links: | |
| world(l) | |
| return out | |
| # ---------------------------------------------------------------- USD kinematics | |
| def np_matrix(m): | |
| """Gf (row vectors) to numpy (column vectors).""" | |
| return np.array(m, dtype=float).T | |
| def _quat(q): | |
| im = q.GetImaginary() | |
| return Gf.Quatd(q.GetReal(), Gf.Vec3d(im[0], im[1], im[2])) | |
| def _frame(pos, rot): | |
| T = np.eye(4) | |
| T[:3, :3] = np.array(Gf.Matrix3d(Gf.Rotation(_quat(rot))), dtype=float).T | |
| T[:3, 3] = [pos[0], pos[1], pos[2]] | |
| return T | |
| AXES = {"X": [1, 0, 0], "Y": [0, 1, 0], "Z": [0, 0, 1]} | |
| def usd_model(stage): | |
| cache = UsdGeom.XformCache() | |
| bodies, joints = {}, [] | |
| for p in stage.Traverse(): | |
| if p.HasAPI(UsdPhysics.RigidBodyAPI): | |
| bodies[str(p.GetPath())] = np_matrix(cache.GetLocalToWorldTransform(p)) | |
| for p in stage.Traverse(): | |
| if not p.IsA(UsdPhysics.Joint): | |
| continue | |
| j = UsdPhysics.Joint(p) | |
| b0 = j.GetBody0Rel().GetTargets() | |
| b1 = j.GetBody1Rel().GetTargets() | |
| kind = "fixed" | |
| axis, limit = None, None | |
| if p.IsA(UsdPhysics.RevoluteJoint): | |
| kind, s = "revolute", UsdPhysics.RevoluteJoint(p) | |
| elif p.IsA(UsdPhysics.PrismaticJoint): | |
| kind, s = "prismatic", UsdPhysics.PrismaticJoint(p) | |
| if kind != "fixed": | |
| axis = s.GetAxisAttr().Get() | |
| limit = (s.GetLowerLimitAttr().Get(), s.GetUpperLimitAttr().Get()) | |
| # A joint may target a prim under its rigid body (a mesh): the body is the nearest ancestor | |
| # with RigidBodyAPI, and the joint frame is relative to the targeted prim. | |
| def owner(targets, local_frame): | |
| if not targets: | |
| return None, local_frame | |
| prim = stage.GetPrimAtPath(targets[0]) | |
| body = prim | |
| while body and body.IsValid() and str(body.GetPath()) not in bodies: | |
| body = body.GetParent() | |
| if not body or not body.IsValid() or body.IsPseudoRoot(): | |
| return str(targets[0]), local_frame | |
| offset = np.linalg.inv(bodies[str(body.GetPath())]) @ np_matrix(cache.GetLocalToWorldTransform(prim)) | |
| return str(body.GetPath()), offset @ local_frame | |
| body0, J0 = owner(b0, _frame(j.GetLocalPos0Attr().Get(), j.GetLocalRot0Attr().Get())) | |
| body1, J1 = owner(b1, _frame(j.GetLocalPos1Attr().Get(), j.GetLocalRot1Attr().Get())) | |
| joints.append( | |
| { | |
| "name": p.GetName(), | |
| "path": str(p.GetPath()), | |
| "type": kind, | |
| "body0": body0, | |
| "body1": body1, | |
| "J0": J0, | |
| "J1": J1, | |
| "axis": axis, | |
| "limit": limit, | |
| } | |
| ) | |
| return bodies, joints | |
| def usd_fk(model, q): | |
| """World pose of every body for joint values `q` (degrees / meters), keyed by body path.""" | |
| bodies, joints = model | |
| # A joint to a prim that isn't a body (or to nothing) anchors its body at rest. | |
| by_body1 = {j["body1"]: j for j in joints if j["body0"] in bodies and j["body1"]} | |
| out = {} | |
| def world(b): | |
| if b in out: | |
| return out[b] | |
| j = by_body1.get(b) | |
| if j is None: | |
| out[b] = bodies[b] | |
| return out[b] | |
| M = np.eye(4) | |
| v = q.get(j["name"], 0.0) | |
| if j["type"] == "revolute": | |
| M = _rot(AXES[j["axis"]], math.radians(v)) | |
| elif j["type"] == "prismatic": | |
| M = _trans(np.asarray(AXES[j["axis"]], float) * v) | |
| out[b] = world(j["body0"]) @ j["J0"] @ M @ np.linalg.inv(j["J1"]) | |
| return out[b] | |
| for b in bodies: | |
| world(b) | |
| return out | |
| def check_against_urdf(stage, urdf, samples=200, seed=0): | |
| """Pose USD and URDF with the same random joint values and compare every link. | |
| USD bodies are matched to URDF links by name. Each link may differ from the URDF by a constant | |
| offset at rest (a different frame convention); after that, motion must agree exactly. | |
| """ | |
| model = usd_model(stage) | |
| bodies, joints = model | |
| links, ujoints = urdf_joints(urdf) | |
| name_of = {p.rsplit("/", 1)[1]: p for p in bodies} | |
| # Frames that aren't bodies (tips) ride on their nearest ancestor body. | |
| cache = UsdGeom.XformCache() | |
| riders = {} | |
| for p in stage.Traverse(): | |
| if p.GetName() in links and p.GetName() not in name_of and p.IsA(UsdGeom.Xformable): | |
| anc = p.GetParent() | |
| while anc and str(anc.GetPath()) not in bodies: | |
| anc = anc.GetParent() | |
| if anc: | |
| b = str(anc.GetPath()) | |
| riders[p.GetName()] = (b, np.linalg.inv(bodies[b]) @ np_matrix(cache.GetLocalToWorldTransform(p))) | |
| def fk_all(model, q): | |
| out = usd_fk(model, q) | |
| for name, (b, rel) in riders.items(): | |
| out["rider:" + name] = out[b] @ rel | |
| return out | |
| name_of.update({n: "rider:" + n for n in riders}) | |
| bodies = {**bodies, **{"rider:" + n: bodies[b] @ rel for n, (b, rel) in riders.items()}} | |
| shared = [l for l in links if l in name_of] | |
| movable = [j for j in ujoints if j["type"] in ("revolute", "prismatic", "continuous") and not j["mimic"]] | |
| mimics = [j for j in ujoints if j["mimic"]] | |
| rest_u = urdf_fk(urdf, {}) | |
| rest_s = fk_all(model, {}) | |
| ref = shared[0] | |
| A = rest_s[name_of[ref]] @ np.linalg.inv(rest_u[ref]) | |
| D = {l: np.linalg.inv(A @ rest_u[l]) @ rest_s[name_of[l]] for l in shared} | |
| rest_err = max(np.abs(rest_s[p] - bodies[p]).max() for p in bodies) | |
| rng = np.random.default_rng(seed) | |
| worst_pos, worst_rot = 0.0, 0.0 | |
| for _ in range(samples): | |
| qu = {} | |
| for j in movable: | |
| lo, hi = j["limit"] if j["limit"] else (-math.pi, math.pi) | |
| qu[j["name"]] = rng.uniform(lo, hi) | |
| for j in mimics: | |
| name, mult, off = j["mimic"] | |
| qu[j["name"]] = qu[name] * mult + off | |
| qs = {k: (math.degrees(v) if any(j["name"] == k and j["type"] != "prismatic" for j in ujoints) else v) for k, v in qu.items()} | |
| fu = urdf_fk(urdf, qu) | |
| fs = fk_all(model, qs) | |
| for l in shared: | |
| expected = A @ fu[l] @ D[l] | |
| got = fs[name_of[l]] | |
| worst_pos = max(worst_pos, np.linalg.norm(expected[:3, 3] - got[:3, 3])) | |
| R = expected[:3, :3].T @ got[:3, :3] | |
| worst_rot = max(worst_rot, math.degrees(math.acos(max(-1, min(1, (np.trace(R) - 1) / 2))))) | |
| frame_offsets = { | |
| l: (round(float(np.linalg.norm(D[l][:3, 3])) * 1000, 2), round(math.degrees(math.acos(max(-1, min(1, (np.trace(D[l][:3, :3]) - 1) / 2)))), 2)) | |
| for l in shared | |
| } | |
| return { | |
| "links_missing": [l for l in links if l not in name_of], | |
| "joints_missing": [j["name"] for j in ujoints if j["type"] != "fixed" and j["name"] not in {k["name"] for k in joints}], | |
| "rest_consistency_m": float(rest_err), | |
| "worst_pos_mm": worst_pos * 1000, | |
| "worst_rot_deg": worst_rot, | |
| "frame_offsets_mm_deg": frame_offsets, | |
| } | |
| # ---------------------------------------------------------------- composition and namespace edits | |
| def flatten(path, variants=None): | |
| """One layer holding the composed stage, every instance turned into its own prims.""" | |
| stage = Usd.Stage.Open(path) | |
| stage.SetEditTarget(stage.GetSessionLayer()) | |
| for name, selection in (variants or {}).items(): | |
| stage.GetDefaultPrim().GetVariantSet(name).SetVariantSelection(selection) | |
| while True: | |
| instances = [p for p in stage.Traverse() if p.IsInstance()] | |
| if not instances: | |
| break | |
| for p in instances: | |
| p.SetInstanceable(False) | |
| return stage.Flatten(addSourceFileComment=False) | |
| def _remap_list(listop, fn): | |
| for field in ("explicitItems", "prependedItems", "appendedItems", "addedItems", "deletedItems", "orderedItems"): | |
| items = list(getattr(listop, field)) | |
| mapped = [fn(i) for i in items] | |
| mapped = [m for m in mapped if m is not None] | |
| if mapped != items: | |
| setattr(listop, field, mapped) | |
| def remap_targets(layer, fn): | |
| """Applies `fn(path) -> path | None` to every relationship target and attribute connection.""" | |
| def visit(path): | |
| if not path.IsPropertyPath(): | |
| return | |
| spec = layer.GetObjectAtPath(path) | |
| if isinstance(spec, Sdf.RelationshipSpec): | |
| _remap_list(spec.targetPathList, fn) | |
| elif isinstance(spec, Sdf.AttributeSpec): | |
| _remap_list(spec.connectionPathList, fn) | |
| layer.Traverse(Sdf.Path.absoluteRootPath, visit) | |
| def rename(layer, path, new_name): | |
| old = Sdf.Path(path) | |
| new = old.ReplaceName(new_name) | |
| edit = Sdf.BatchNamespaceEdit() | |
| edit.Add(Sdf.NamespaceEdit.Rename(old, new_name)) | |
| if not layer.Apply(edit): | |
| raise RuntimeError(f"rename {old} -> {new_name}") | |
| remap_targets(layer, lambda p: p.ReplacePrefix(old, new) if p.HasPrefix(old) else p) | |
| return str(new) | |
| def remove(layer, path): | |
| path = Sdf.Path(path) | |
| edit = Sdf.BatchNamespaceEdit() | |
| edit.Add(Sdf.NamespaceEdit.Remove(path)) | |
| if not layer.Apply(edit): | |
| raise RuntimeError(f"remove {path}") | |
| remap_targets(layer, lambda p: None if p.HasPrefix(path) else p) | |
| def add_frame(stage, parent_path, name, world): | |
| """An Xform under `parent_path` placed at `world` (numpy, column vectors).""" | |
| parent = stage.GetPrimAtPath(parent_path) | |
| parent_world = np_matrix(UsdGeom.XformCache().GetLocalToWorldTransform(parent)) | |
| local = np.linalg.inv(parent_world) @ world | |
| x = UsdGeom.Xform.Define(stage, f"{parent_path}/{name}") | |
| x.AddTransformOp().Set(Gf.Matrix4d(local.T.tolist())) | |
| return x | |
| # ---------------------------------------------------------------- geometry | |
| def crease_normals(points, faces, crease_deg=30.0): | |
| """Splits vertices along edges sharper than `crease_deg` and returns per-vertex normals.""" | |
| a, b, c = (points[faces[:, k]] for k in range(3)) | |
| fn = np.cross(b - a, c - a) | |
| area = np.linalg.norm(fn, axis=1) | |
| keep = area > 1e-20 | |
| faces, fn, area = faces[keep], fn[keep], area[keep] | |
| unit = fn / area[:, None] | |
| m = len(faces) | |
| corner_vertex = faces.reshape(-1) | |
| corner_face = np.repeat(np.arange(m), 3) | |
| order = np.argsort(corner_vertex, kind="stable") | |
| sorted_v = corner_vertex[order] | |
| starts = np.flatnonzero(np.r_[True, sorted_v[1:] != sorted_v[:-1]]) | |
| ends = np.r_[starts[1:], len(sorted_v)] | |
| cos_t = math.cos(math.radians(crease_deg)) | |
| corner_normal = np.zeros((3 * m, 3)) | |
| for s, e in zip(starts, ends): | |
| corners = order[s:e] | |
| fs = corner_face[corners] | |
| u = unit[fs] | |
| similar = (u @ u.T) > cos_t | |
| corner_normal[corners] = similar.astype(float) @ fn[fs] | |
| corner_normal /= np.maximum(np.linalg.norm(corner_normal, axis=1, keepdims=True), 1e-30) | |
| q = np.round(corner_normal * 1024).astype(np.int32) | |
| key = np.concatenate([corner_vertex[:, None], q], axis=1) | |
| unique, first, inverse = np.unique(key, axis=0, return_index=True, return_inverse=True) | |
| new_points = points[unique[:, 0]] | |
| new_normals = corner_normal[first] | |
| new_faces = inverse.reshape(-1).reshape(m, 3) | |
| return new_points, new_faces, new_normals | |
| def weld(points, faces): | |
| unique, inverse = np.unique(points, axis=0, return_inverse=True) | |
| return unique, inverse.reshape(-1)[faces] | |
| def author_mesh(stage, path, points, faces, normals, material=None): | |
| mesh = UsdGeom.Mesh.Define(stage, path) | |
| mesh.CreatePointsAttr(Vt.Vec3fArray.FromNumpy(points.astype(np.float32))) | |
| mesh.CreateFaceVertexCountsAttr(Vt.IntArray.FromNumpy(np.full(len(faces), 3, dtype=np.int32))) | |
| mesh.CreateFaceVertexIndicesAttr(Vt.IntArray.FromNumpy(faces.reshape(-1).astype(np.int32))) | |
| mesh.CreateNormalsAttr(Vt.Vec3fArray.FromNumpy(normals.astype(np.float32))) | |
| mesh.SetNormalsInterpolation(UsdGeom.Tokens.vertex) | |
| mesh.CreateSubdivisionSchemeAttr(UsdGeom.Tokens.none) | |
| mesh.CreateExtentAttr(Vt.Vec3fArray([Gf.Vec3f(*points.min(0)), Gf.Vec3f(*points.max(0))])) | |
| if material is not None: | |
| from pxr import UsdShade | |
| UsdShade.MaterialBindingAPI.Apply(mesh.GetPrim()).Bind(UsdShade.Material(stage.GetPrimAtPath(material))) | |
| return mesh | |
| def compare_visual_bounds(source, out, renames=None): | |
| """Worst corner offset (mm) between each body's drawn geometry in `source` and in `out`.""" | |
| renames = renames or {} | |
| def bounds(stage): | |
| cache = UsdGeom.BBoxCache(Usd.TimeCode.Default(), ["default"], useExtentsHint=False) | |
| found = {} | |
| for p in stage.Traverse(Usd.TraverseInstanceProxies()): | |
| if p.HasAPI(UsdPhysics.RigidBodyAPI): | |
| # Only this body's own meshes, not those of bodies nested under it. | |
| lo, hi = np.full(3, np.inf), np.full(3, -np.inf) | |
| it = iter(Usd.PrimRange(p, Usd.TraverseInstanceProxies())) | |
| for q in it: | |
| if q != p and q.HasAPI(UsdPhysics.RigidBodyAPI): | |
| it.PruneChildren() | |
| continue | |
| if q.IsA(UsdGeom.Mesh) and UsdGeom.Imageable(q).ComputePurpose() == "default": | |
| r = cache.ComputeWorldBound(q).ComputeAlignedRange() | |
| lo, hi = np.minimum(lo, r.GetMin()), np.maximum(hi, r.GetMax()) | |
| if np.isfinite(lo).all(): | |
| found[renames.get(p.GetName(), p.GetName())] = (lo, hi) | |
| return found | |
| a, b = bounds(source), bounds(out) | |
| return {k: round(float(max(np.abs(a[k][0] - b[k][0]).max(), np.abs(a[k][1] - b[k][1]).max())) * 1000, 2) if k in b else "missing" for k in a} | |
| # ---------------------------------------------------------------- URDF to USD | |
| def read_stl(path): | |
| """Points and triangles of a binary STL.""" | |
| data = open(path, "rb").read() | |
| n = int(np.frombuffer(data, np.uint32, 1, 80)[0]) | |
| tris = np.frombuffer(data, np.dtype([("n", "<f4", 3), ("v", "<f4", (3, 3)), ("a", "<u2")]), n, 84) | |
| return tris["v"].reshape(-1, 3).astype(float), np.arange(3 * n).reshape(n, 3) | |
| def srgb_to_linear(c): | |
| c = np.asarray(c, float) | |
| return np.where(c <= 0.04045, c / 12.92, ((c + 0.055) / 1.055) ** 2.4) | |
| def _axis_frame(axis): | |
| """The USD axis token for a URDF axis along X, Y or Z, and the rotation turning that token into it.""" | |
| a = np.asarray(axis, float) | |
| i = int(np.argmax(np.abs(a))) | |
| if not np.allclose(np.abs(a), np.eye(3)[i]): | |
| raise ValueError(f"axis {axis} is not along X, Y or Z") | |
| R = np.eye(4) if a[i] > 0 else _rot(np.eye(3)[(i + 1) % 3], math.pi) | |
| return "XYZ"[i], R | |
| def _set_matrix(xformable, M): | |
| xformable.ClearXformOpOrder() | |
| xformable.AddTransformOp().Set(Gf.Matrix4d(M.T.tolist())) | |
| def _pose(M): | |
| q = Gf.Matrix4d(M.T.tolist()).ExtractRotationQuat() | |
| im = q.GetImaginary() | |
| return Gf.Vec3f(*M[:3, 3]), Gf.Quatf(q.GetReal(), Gf.Vec3f(im[0], im[1], im[2])) | |
| def from_urdf(urdf, name, colors=None): | |
| """A stage drawing the URDF's visual meshes, with a rigid body per link a moving joint drives. | |
| Links fixed to another are frames under its body, so every link keeps the URDF's name and frame; | |
| joints are UsdPhysics joints (limits in degrees), the root link at the origin. `colors` maps a | |
| link to an sRGB color replacing its URDF material. | |
| """ | |
| from pxr import UsdShade | |
| root_el = ET.parse(urdf).getroot() | |
| mesh_dir = urdf.rsplit("/", 1)[0] if "/" in urdf else "." | |
| links, joints = urdf_joints(urdf) | |
| by_child = {j["child"]: j for j in joints} | |
| rest = urdf_fk(urdf, {}) | |
| named_colors = {m.get("name"): [float(v) for v in m.find("color").get("rgba").split()[:3]] for m in root_el.findall("material") if m.find("color") is not None} | |
| stage = Usd.Stage.CreateInMemory() | |
| UsdGeom.SetStageUpAxis(stage, UsdGeom.Tokens.z) | |
| UsdGeom.SetStageMetersPerUnit(stage, 1.0) | |
| UsdPhysics.SetStageKilogramsPerUnit(stage, 1.0) | |
| robot = UsdGeom.Xform.Define(stage, f"/{name}") | |
| stage.SetDefaultPrim(robot.GetPrim()) | |
| Usd.ModelAPI(robot.GetPrim()).SetKind("component") | |
| UsdGeom.Scope.Define(stage, f"/{name}/Materials") | |
| UsdGeom.Scope.Define(stage, f"/{name}/Geometry") | |
| UsdGeom.Scope.Define(stage, f"/{name}/Joints") | |
| materials = {} | |
| def material(rgb): | |
| key = tuple(round(c, 5) for c in rgb) | |
| if key not in materials: | |
| path = f"/{name}/Materials/material_{len(materials)}" | |
| mat = UsdShade.Material.Define(stage, path) | |
| shader = UsdShade.Shader.Define(stage, f"{path}/PreviewSurface") | |
| shader.CreateIdAttr("UsdPreviewSurface") | |
| shader.CreateInput("diffuseColor", Sdf.ValueTypeNames.Color3f).Set(Gf.Vec3f(*srgb_to_linear(rgb))) | |
| shader.CreateInput("metallic", Sdf.ValueTypeNames.Float).Set(0.0) | |
| shader.CreateInput("roughness", Sdf.ValueTypeNames.Float).Set(0.5) | |
| mat.CreateSurfaceOutput().ConnectToSource(shader.ConnectableAPI(), "surface") | |
| materials[key] = path | |
| return materials[key] | |
| # A link is a body unless a fixed joint holds it to its parent. | |
| def body_of(link): | |
| j = by_child.get(link) | |
| return link if j is None or j["type"] != "fixed" else body_of(j["parent"]) | |
| paths = {} | |
| for link in links: | |
| body = body_of(link) | |
| if body == link: | |
| paths[link] = f"/{name}/Geometry/{link}" | |
| x = UsdGeom.Xform.Define(stage, paths[link]) | |
| _set_matrix(x, rest[link]) | |
| UsdPhysics.RigidBodyAPI.Apply(x.GetPrim()) | |
| if by_child.get(link) is None: | |
| UsdPhysics.ArticulationRootAPI.Apply(x.GetPrim()) | |
| for link in links: | |
| body = body_of(link) | |
| if body != link: | |
| paths[link] = f"{paths[body]}/{link}" | |
| _set_matrix(UsdGeom.Xform.Define(stage, paths[link]), np.linalg.inv(rest[body]) @ rest[link]) | |
| for el in root_el.findall("link"): | |
| link = el.get("name") | |
| inertial = el.find("inertial") | |
| if inertial is not None and body_of(link) == link: | |
| mass = UsdPhysics.MassAPI.Apply(stage.GetPrimAtPath(paths[link])) | |
| mass.CreateMassAttr(float(inertial.find("mass").get("value"))) | |
| mass.CreateCenterOfMassAttr(Gf.Vec3f(*_origin(inertial.find("origin"))[:3, 3])) | |
| for k, visual in enumerate(el.findall("visual")): | |
| mesh_el = visual.find("geometry/mesh") | |
| if mesh_el is None: | |
| raise ValueError(f"{link}: only mesh visuals are supported") | |
| points, faces = read_stl(f"{mesh_dir}/{mesh_el.get('filename')}") | |
| scale = [float(v) for v in mesh_el.get("scale", "1 1 1").split()] | |
| T = _origin(visual.find("origin")) | |
| points = (T[:3, :3] @ (points * scale).T).T + T[:3, 3] | |
| points, faces = weld(points, faces) | |
| points, faces, normals = crease_normals(points, faces) | |
| mat_el = visual.find("material") | |
| rgb = (colors or {}).get(link) | |
| if rgb is None and mat_el is not None: | |
| color_el = mat_el.find("color") | |
| rgb = [float(v) for v in color_el.get("rgba").split()[:3]] if color_el is not None else named_colors[mat_el.get("name")] | |
| author_mesh(stage, f"{paths[link]}/visual" + (f"_{k}" if k else ""), points, faces, normals, material(rgb) if rgb else None) | |
| for j in joints: | |
| if j["type"] == "fixed": | |
| continue | |
| kind = {"revolute": UsdPhysics.RevoluteJoint, "continuous": UsdPhysics.RevoluteJoint, "prismatic": UsdPhysics.PrismaticJoint}[j["type"]] | |
| joint = kind.Define(stage, f"/{name}/Joints/{j['name']}") | |
| token, R = _axis_frame(j["axis"]) | |
| parent = body_of(j["parent"]) | |
| frame = rest[j["child"]] @ R | |
| pos0, rot0 = _pose(np.linalg.inv(rest[parent]) @ frame) | |
| pos1, rot1 = _pose(R) | |
| joint.CreateBody0Rel().SetTargets([paths[parent]]) | |
| joint.CreateBody1Rel().SetTargets([paths[j["child"]]]) | |
| joint.CreateLocalPos0Attr(pos0) | |
| joint.CreateLocalRot0Attr(rot0) | |
| joint.CreateLocalPos1Attr(pos1) | |
| joint.CreateLocalRot1Attr(rot1) | |
| joint.CreateAxisAttr(token) | |
| if j["type"] != "continuous" and j["limit"]: | |
| lo, hi = j["limit"] | |
| if j["type"] == "revolute": | |
| lo, hi = math.degrees(lo), math.degrees(hi) | |
| joint.CreateLowerLimitAttr(lo) | |
| joint.CreateUpperLimitAttr(hi) | |
| if j["mimic"]: | |
| # PhysX's mimic constraint, position + gearing * reference + offset = 0, so a `<mimic>` joint | |
| # still follows its joint without the URDF. | |
| reference, multiplier, offset = j["mimic"] | |
| if offset: | |
| raise NotImplementedError(f"{j['name']}: a mimic offset needs its units settled first") | |
| dof = ("trans" if j["type"] == "prismatic" else "rot") + token | |
| prim = joint.GetPrim() | |
| prim.AddAppliedSchema(f"PhysxMimicJointAPI:{dof}") | |
| prim.CreateRelationship(f"physxMimicJoint:{dof}:referenceJoint").SetTargets([f"/{name}/Joints/{reference}"]) | |
| prim.CreateAttribute(f"physxMimicJoint:{dof}:gearing", Sdf.ValueTypeNames.Float).Set(-multiplier) | |
| return stage | |