From 8b76a5bf6b24f247c3ad9ff401b578d42962eb90 Mon Sep 17 00:00:00 2001 From: tomvanmele Date: Wed, 8 Jan 2025 00:23:58 +0100 Subject: [PATCH 01/62] temp dump --- scripts/bbox.py | 24 + scripts/blockmodel_arch.json | 2 +- scripts/bvh.py | 198 +++++ scripts/intersections.py | 54 ++ .../loads/__init__.py => scripts/kdtree.py | 0 scripts/minkowski.py | 34 + scripts/test_blockmodel_arch.py | 2 +- src/compas_model/algorithms/__init__.py | 2 - src/compas_model/algorithms/bvh.py | 174 +++++ src/compas_model/algorithms/collision2.py | 14 + src/compas_model/algorithms/collisions.py | 68 +- src/compas_model/algorithms/intersections.py | 731 +++++++++++++++++- src/compas_model/algorithms/minkowski2.py | 64 ++ src/compas_model/algorithms/minkowski3.py | 7 + src/compas_model/algorithms/overlaps.py | 89 ++- src/compas_model/analysis/fea.py | 0 src/compas_model/analysis/lca.py | 0 src/compas_model/elements/beam.py | 0 src/compas_model/elements/column.py | 0 src/compas_model/interactions/collision.py | 0 src/compas_model/interactions/interaction.py | 2 +- src/compas_model/interactions/modifier.py | 0 src/compas_model/viewers/blockmodelviewer.py | 9 +- tests/test_algorithms_collider.py | 11 - tests/test_algorithms_intersections.py | 54 ++ 25 files changed, 1448 insertions(+), 91 deletions(-) create mode 100644 scripts/bbox.py create mode 100644 scripts/bvh.py create mode 100644 scripts/intersections.py rename src/compas_model/loads/__init__.py => scripts/kdtree.py (100%) create mode 100644 scripts/minkowski.py create mode 100644 src/compas_model/algorithms/bvh.py create mode 100644 src/compas_model/algorithms/collision2.py create mode 100644 src/compas_model/algorithms/minkowski2.py create mode 100644 src/compas_model/algorithms/minkowski3.py create mode 100644 src/compas_model/analysis/fea.py create mode 100644 src/compas_model/analysis/lca.py create mode 100644 src/compas_model/elements/beam.py create mode 100644 src/compas_model/elements/column.py create mode 100644 src/compas_model/interactions/collision.py create mode 100644 src/compas_model/interactions/modifier.py create mode 100644 tests/test_algorithms_intersections.py diff --git a/scripts/bbox.py b/scripts/bbox.py new file mode 100644 index 00000000..c5da3b09 --- /dev/null +++ b/scripts/bbox.py @@ -0,0 +1,24 @@ +import numpy as np + +import compas +from compas.colors import Color +from compas.datastructures import Mesh +from compas.geometry import Box +from compas.geometry import oriented_bounding_box_numpy +from compas.geometry.bbox_numpy import minimum_volume_box +from compas_viewer import Viewer + +mesh = Mesh.from_obj(compas.get("tubemesh.obj")) + +faces = list(mesh.faces()) + +boxes = [Box.from_bounding_box(minimum_volume_box(np.asarray(mesh.face_points(face)))) for face in faces] + +# ============================================================================= +# Viz +# ============================================================================= + +viewer = Viewer() +viewer.scene.add(mesh) +viewer.scene.add(boxes[:10], show_faces=False) +viewer.show() diff --git a/scripts/blockmodel_arch.json b/scripts/blockmodel_arch.json index e22c9387..a8639164 100644 --- a/scripts/blockmodel_arch.json +++ b/scripts/blockmodel_arch.json @@ -1 +1 @@ -{"dtype": "compas_model.models/Model", "data": {"tree": {"attributes": {}, "root": {"name": "root", "frame": null, "attributes": {}, "children": [{"element": "473152c0-b99f-49e3-a494-0efe165ea457"}, {"element": "c1edcfe8-b368-415f-a3ca-80c30815d945"}, {"element": "3f33259a-6316-4bb4-81c0-f75c16418e81"}, {"element": "278b16e5-f2c3-431b-a9c6-030b7efd7e7c"}, {"element": "5db09a9b-9357-4076-bab7-9d507bd7891b"}, {"element": "5f3a61a4-ce0c-4757-a67c-68b4d7e5549b"}, {"element": "3230e8d9-d8b1-4d28-8d56-c87177193cc7"}, {"element": "36000d9a-3970-43b6-94ba-fceefc98ca10"}, {"element": "4c9afefb-bf7a-4a3a-bcf6-6c2f55ea5542"}, {"element": "6b8e77a1-9e94-41cc-b25b-0a1effd2bdde"}, {"element": 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compas.geometry import Line +from compas.geometry import Point +from compas.geometry import centroid_points +from compas.geometry import oriented_bounding_box_numpy +from compas_model.algorithms.intersections import intersection_ray_triangle +from compas_model.algorithms.intersections import is_intersection_box_box +from compas_model.algorithms.intersections import is_intersection_line_aabb +from compas_model.algorithms.intersections import is_intersection_line_box +from compas_viewer import Viewer + + +class BVHNode(TreeNode): + def __init__(self, objects: list[tuple[int, Point, list[Point]]], **kwargs): + super().__init__(**kwargs) + self.objects = objects + self._box = None + + @property + def box(self) -> Box: + if not self._box: + self._box = self.compute_box() + return self._box + + def compute_box(self) -> Box: + raise NotImplementedError + + def intersect_line(self, line: Line) -> Generator["BVHNode", None, None]: + raise NotImplementedError + + def intersect_box(self, box: Box) -> Generator["BVHNode", None, None]: + raise NotImplementedError + + +class AABBNode(BVHNode): + def compute_box(self) -> Box: + points = [point for o in self.objects for point in o[2]] + return Box.from_points(points) + + def intersect_line(self, line: Line) -> Generator["AABBNode", None, None]: + queue = [self] + while queue: + node = queue.pop(0) + if is_intersection_line_aabb(line, node.box): + yield node + queue.extend(node.children) + + +class OBBNode(BVHNode): + def compute_box(self) -> Box: + points = [point for o in self.objects for point in o[2]] + return Box.from_bounding_box(oriented_bounding_box_numpy(points)) + + def intersect_line(self, line: Line) -> Generator["OBBNode", None, None]: + queue = [self] + while queue: + node = queue.pop(0) + if is_intersection_line_box(line, node.box): + yield node + queue.extend(node.children) + + def intersect_box(self, box: Box) -> Generator["OBBNode", None, None]: + queue = [self] + while queue: + node = queue.pop(0) + if is_intersection_box_box(box, node.box): + yield node + queue.extend(node.children) + + +class BVH(Tree): + root: BVHNode + + def _add_objects( + self, + objects: list[tuple[int, Point, list[Point]]], + parent: BVHNode, + nodetype: Optional[Union[Type[AABBNode], Type[OBBNode]]] = OBBNode, + ) -> None: + if not objects: + return + + if len(objects) == 1: + parent.add(nodetype(objects[:1])) + return + + node = nodetype(objects) + parent.add(node) + + # sort objects according to xaxis box + # (use the xaxis because it has the largest spread/variance) + # perhaps axes should be rotated like in a KdTree? + # also, lots of literature exists about splitting strategies for BVH trees + # a common criterion is SAH (surface area heuristic) + center = node.box.frame.point + axis = node.box.frame.xaxis + objects.sort(key=lambda o: (o[1] - center).dot(axis)) + median = len(objects) // 2 + + # perhaps it woould make sense to make a specific binary tree + # with left/right instead of a list of children + + # "left" objects + self._add_objects(objects[:median], parent=node, nodetype=nodetype) + + # "right" objects + self._add_objects(objects[median:], parent=node, nodetype=nodetype) + + @classmethod + def from_triangles( + cls, + triangles: list[list[Point]], + nodetype: Optional[Union[Type[AABBNode], Type[OBBNode]]] = OBBNode, + ) -> "BVH": + objects = [(index, centroid_points(abc), abc) for index, abc in enumerate(triangles)] + tree = cls() + tree._add_objects(objects, parent=tree, nodetype=nodetype) + return tree + + @classmethod + def from_mesh( + cls, + mesh: Mesh, + nodetype: Optional[Union[Type[AABBNode], Type[OBBNode]]] = OBBNode, + ) -> "BVH": + faces = list(mesh.faces()) + objects = list(zip(faces, [mesh.face_centroid(face) for face in faces], [mesh.face_points(face) for face in faces])) + tree = cls() + tree._add_objects(objects, parent=tree, nodetype=nodetype) + return tree + + def intersect_line(self, line: Line) -> Generator[BVHNode, None, None]: + if self.root: + for node in self.root.intersect_line(line): + yield node + + def intersect_box(self, box: Box) -> Generator[BVHNode, None, None]: + if self.root: + for node in self.root.intersect_box(box): + yield node + + +# ============================================================================= +# Build BVH +# ============================================================================= + +mesh = Mesh.from_obj(compas.get("tubemesh.obj")) +mesh.quads_to_triangles() + +tree = BVH.from_mesh(mesh, nodetype=AABBNode) + +print(tree.get_hierarchy_string()) + +# ============================================================================= +# Intersections +# ============================================================================= + +t0 = time.time() + +boxes = [] +points = [] + +for i in range(1000): + line = Line.from_point_and_vector([2, 0 + i * 0.01, 0], [0, 0, 10]) + + for node in tree.intersect_line(line): + if node.is_leaf: + triangle = node.objects[0][2] + result = intersection_ray_triangle(line, triangle) + if result: + boxes.append(node.box) + points.append(Point(*result)) + +t1 = time.time() + +print(t1 - t0) + +# ============================================================================= +# Viz +# ============================================================================= + +viewer = Viewer() +viewer.scene.add(mesh) +viewer.scene.add(line, linecolor=Color.blue(), linewidth=2) +viewer.scene.add(boxes, facecolor=Color.green(), opacity=0.5) +viewer.scene.add(points, pointcolor=Color.red(), pointsize=10) +viewer.show() diff --git a/scripts/intersections.py b/scripts/intersections.py new file mode 100644 index 00000000..d9a90b79 --- /dev/null +++ b/scripts/intersections.py @@ -0,0 +1,54 @@ +from math import radians + +from compas.colors import Color +from compas.geometry import Box +from compas.geometry import Frame +from compas.geometry import Line +from compas.geometry import Point +from compas.geometry import Transformation +from compas.geometry import Vector +from compas_model.algorithms.intersections import intersections_line_aabb +from compas_model.algorithms.intersections import intersections_line_box +from compas_model.algorithms.intersections import intersections_ray_box +from compas_model.algorithms.intersections import is_intersection_box_box +from compas_model.algorithms.intersections import is_intersection_line_box +from compas_viewer import Viewer + +# line = Line.from_point_direction_length([-10, 0, -5], [0, 0, 1], 10) +# box = Box(8, 5, 3) + +# for i in range(200): +# line.start.x += 0.1 +# print(is_intersection_line_box(line, box)) + +# viewer = Viewer() +# viewer.scene.add(line, linewidth=2, linecolor=Color.blue()) +# viewer.scene.add(box, facecolor=Color.red(), opacity=0.5) +# viewer.show() + +# line = Line.from_point_direction_length([3, 1, 1], [0.3, 1, 1], 10) +# box = Box(1, 1, 1, frame=Frame([3, 0, 0], [1, 0, 0], [0, 1, 0.5])) + +# line = Line([1, 0, 0], [0, 0, 1]) +# box = Box() + +# count, points = intersections_line_aabb(line, box) + +# print(count) +# print(points) + +# viewer = Viewer() +# viewer.scene.add(line, linewidth=2, linecolor=Color.blue()) +# viewer.scene.add(box, facecolor=Color.red(), opacity=0.5) +# viewer.scene.add(points, pointcolor=Color.green(), pointsize=20) +# viewer.show() + +b1 = Box() +b2 = Box(1, 1, 1, Frame([1.1, 0, 0])).rotated(radians(30)) + +print(is_intersection_box_box(b1, b2)) + +viewer = Viewer() +viewer.scene.add(b1, facecolor=Color.red(), opacity=0.5) +viewer.scene.add(b2, facecolor=Color.blue(), opacity=0.5) +viewer.show() diff --git a/src/compas_model/loads/__init__.py b/scripts/kdtree.py similarity index 100% rename from src/compas_model/loads/__init__.py rename to scripts/kdtree.py diff --git a/scripts/minkowski.py b/scripts/minkowski.py new file mode 100644 index 00000000..5e27adb2 --- /dev/null +++ b/scripts/minkowski.py @@ -0,0 +1,34 @@ +import time + +from compas.colors import Color +from compas.geometry import Polygon +from compas_model.algorithms.collision2 import is_collision2 +from compas_viewer import Viewer + +# ============================================================================= +# Compute +# ============================================================================= + +A = Polygon.from_rectangle([1, 0, 0], 1, 1) +B = Polygon.from_sides_and_radius_xy(5, 1).translated([2.5, 0, 0]) + +t0 = time.time() + +result, C = is_collision2(A, B, return_diff=True) +print(result) + +t1 = time.time() + +print(t1 - t0) + +# ============================================================================= +# Viz +# ============================================================================= + +viewer = Viewer() + +viewer.scene.add(A, facecolor=Color.red(), opacity=0.5) +viewer.scene.add(B, facecolor=Color.blue(), opacity=0.5) +viewer.scene.add(C, facecolor=Color.cyan(), opacity=0.5) + +viewer.show() diff --git a/scripts/test_blockmodel_arch.py b/scripts/test_blockmodel_arch.py index b47171eb..55f47c4a 100644 --- a/scripts/test_blockmodel_arch.py +++ b/scripts/test_blockmodel_arch.py @@ -15,7 +15,7 @@ # Block model # ============================================================================= -template = Arch(rise=3, span=10, thickness=0.2, depth=0.5, n=200) +template = Arch(rise=3, span=10, thickness=0.2, depth=0.5, n=50) model = Model() diff --git a/src/compas_model/algorithms/__init__.py b/src/compas_model/algorithms/__init__.py index 91509f80..df209be7 100644 --- a/src/compas_model/algorithms/__init__.py +++ b/src/compas_model/algorithms/__init__.py @@ -4,7 +4,6 @@ from .collisions import get_collision_pairs # rename to model_collisions from .interfaces import model_interfaces -from .intersections import model_intersections from .overlaps import model_overlaps @@ -14,6 +13,5 @@ "is_face_to_face_collision", "get_collision_pairs", "model_interfaces", - "model_intersections", "model_overlaps", ] diff --git a/src/compas_model/algorithms/bvh.py b/src/compas_model/algorithms/bvh.py new file mode 100644 index 00000000..f621610c --- /dev/null +++ b/src/compas_model/algorithms/bvh.py @@ -0,0 +1,174 @@ +from typing import Generator +from typing import Optional +from typing import Type +from typing import Union + +from compas.datastructures import Mesh +from compas.datastructures import Tree +from compas.datastructures import TreeNode +from compas.geometry import Box +from compas.geometry import Line +from compas.geometry import Point +from compas.geometry import centroid_points +from compas.geometry import oriented_bounding_box_numpy +from compas_model.algorithms.intersections import is_intersection_box_box +from compas_model.algorithms.intersections import is_intersection_line_aabb +from compas_model.algorithms.intersections import is_intersection_line_box + + +class BVHNode(TreeNode): + """Base BVH tree node. + + Parameters + ---------- + objects : list[tuple[int, :class:`Point`, list[:class:`Point`]]] + The objects contained by the node. + + Attributes + ---------- + box : :class:`Box` + The bounding volume box. + The type of box depends on the type of node. + + """ + + def __init__(self, objects: list[tuple[int, Point, list[Point]]], **kwargs): + super().__init__(**kwargs) + self.objects = objects + self._box = None + + @property + def box(self) -> Box: + if not self._box: + self._box = self.compute_box() + return self._box + + def compute_box(self) -> Box: + raise NotImplementedError + + def intersect_line(self, line: Line) -> Generator["BVHNode", None, None]: + raise NotImplementedError + + def intersect_box(self, box: Box) -> Generator["BVHNode", None, None]: + raise NotImplementedError + + +class AABBNode(BVHNode): + """BVH tree node with an axis-aligned bounding box as bounding volume.""" + + def compute_box(self) -> Box: + """Compute the bounding volume as an oriented bounding box. + + Returns + ------- + :class:`Box` + + """ + points = [point for o in self.objects for point in o[2]] + return Box.from_points(points) + + def intersect_line(self, line: Line) -> Generator["AABBNode", None, None]: + """""" + queue = [self] + while queue: + node = queue.pop(0) + if is_intersection_line_aabb(line, node.box): + yield node + queue.extend(node.children) + + +class OBBNode(BVHNode): + """BVH tree node with an axis-aligned bounding box as bounding volume.""" + + def compute_box(self) -> Box: + """""" + points = [point for o in self.objects for point in o[2]] + return Box.from_bounding_box(oriented_bounding_box_numpy(points)) + + def intersect_line(self, line: Line) -> Generator["OBBNode", None, None]: + queue = [self] + while queue: + node = queue.pop(0) + if is_intersection_line_box(line, node.box): + yield node + queue.extend(node.children) + + def intersect_box(self, box: Box) -> Generator["OBBNode", None, None]: + queue = [self] + while queue: + node = queue.pop(0) + if is_intersection_box_box(box, node.box): + yield node + queue.extend(node.children) + + +class BVH(Tree): + root: BVHNode + + def _add_objects( + self, + objects: list[tuple[int, Point, list[Point]]], + parent: BVHNode, + nodetype: Optional[Union[Type[AABBNode], Type[OBBNode]]] = OBBNode, + ) -> None: + if not objects: + return + + if len(objects) == 1: + parent.add(nodetype(objects[:1])) + return + + node = nodetype(objects) + parent.add(node) + + # sort objects according to xaxis box + # (use the xaxis because it has the largest spread/variance) + # perhaps axes should be rotated like in a KdTree? + # also, lots of literature exists about splitting strategies for BVH trees + # a common criterion is SAH (surface area heuristic) + center = node.box.frame.point + axis = node.box.frame.xaxis + objects.sort(key=lambda o: (o[1] - center).dot(axis)) + median = len(objects) // 2 + + # perhaps it woould make sense to make a specific binary tree + # with left/right instead of a list of children + + # "left" objects + self._add_objects(objects[:median], parent=node, nodetype=nodetype) + + # "right" objects + self._add_objects(objects[median:], parent=node, nodetype=nodetype) + + @classmethod + def from_triangles( + cls, + triangles: list[list[Point]], + nodetype: Optional[Union[Type[AABBNode], Type[OBBNode]]] = OBBNode, + ) -> "BVH": + objects = [(index, centroid_points(abc), abc) for index, abc in enumerate(triangles)] + tree = cls() + tree._add_objects(objects, parent=tree, nodetype=nodetype) + return tree + + @classmethod + def from_mesh( + cls, + mesh: Mesh, + nodetype: Optional[Union[Type[AABBNode], Type[OBBNode]]] = OBBNode, + ) -> "BVH": + faces = list(mesh.faces()) + objects = list(zip(faces, [mesh.face_centroid(face) for face in faces], [mesh.face_points(face) for face in faces])) + tree = cls() + tree._add_objects(objects, parent=tree, nodetype=nodetype) + return tree + + def intersect_line(self, line: Line) -> Generator[BVHNode, None, None]: + if self.root: + for node in self.root.intersect_line(line): + yield node + + def intersect_box(self, box: Box) -> Generator[BVHNode, None, None]: + if self.root: + for node in self.root.intersect_box(box): + yield node diff --git a/src/compas_model/algorithms/collision2.py b/src/compas_model/algorithms/collision2.py new file mode 100644 index 00000000..8cbf5ec9 --- /dev/null +++ b/src/compas_model/algorithms/collision2.py @@ -0,0 +1,14 @@ +from typing import Union + +from compas.geometry import Polygon +from compas.geometry import is_point_in_convex_polygon_xy + +from .minkowski2 import minkdiff2 + + +def is_collision2(A: Polygon, B: Polygon, return_diff: bool = False) -> Union[bool, tuple[bool, Polygon]]: + C = minkdiff2(A, B) + result = is_point_in_convex_polygon_xy([0, 0, 0], C) + if not return_diff: + return result + return result, C diff --git a/src/compas_model/algorithms/collisions.py b/src/compas_model/algorithms/collisions.py index 7f4492eb..99dc950c 100644 --- a/src/compas_model/algorithms/collisions.py +++ b/src/compas_model/algorithms/collisions.py @@ -1,25 +1,34 @@ from math import fabs +from shapely.geometry import Polygon as ShapelyPolygon + +import compas_model.models # noqa: F401 +from compas.geometry import Box from compas.geometry import Frame from compas.geometry import Plane from compas.geometry import Polygon from compas.geometry import Transformation +from compas.geometry import Vector from compas.geometry import bestfit_plane from compas.geometry import distance_point_point from compas.geometry import transform_points -try: - from shapely.geometry import Polygon as ShapelyPolygon - - shapely_available = True -except ImportError: - print("Shapely package is not available. Please install it.") - shapely_available = False -import compas_model.models # noqa: F401 +def get_separation_plane(relative_position: Vector, axis: Vector, box0: Box, box1: Box): + return abs(relative_position.dot(axis)) > ( + abs((box0.frame.xaxis * box0.width * 0.5).dot(axis)) + + abs((box0.frame.yaxis * box0.depth * 0.5).dot(axis)) + + abs((box0.frame.zaxis * box0.height * 0.5).dot(axis)) + + abs((box1.frame.xaxis * box1.width * 0.5).dot(axis)) + + abs((box1.frame.yaxis * box1.depth * 0.5).dot(axis)) + + abs((box1.frame.zaxis * box1.height * 0.5).dot(axis)) + ) -def is_aabb_aabb_collision(box0, box1): +# NOTE: our default box is not super fast here +# because it will actually compute the min/max values +# we should consider making a dedicated object for this +def is_aabb_aabb_collision(box0: Box, box1: Box): """Verify if this axis-aligned bounding-box collides with another axis-aligned bounding-box. Parameters @@ -36,25 +45,34 @@ def is_aabb_aabb_collision(box0, box1): False otherwise. """ + xmin0 = box0.xmin + xmin1 = box1.xmin + xmax0 = box0.xmax + xmax1 = box1.xmax - p0_0 = box0.xmin, box0.ymin, box0.zmin - p0_1 = box0.xmax, box0.ymax, box0.zmax - p1_0 = box1.xmin, box1.ymin, box1.zmin - p1_1 = box1.xmax, box1.ymax, box1.zmax - - if p0_1[0] < p1_0[0] or p1_1[0] < p0_0[0]: + if xmax1 < xmin0 or xmax0 < xmin1: return False - if p0_1[1] < p1_0[1] or p1_1[1] < p0_0[1]: + ymin0 = box0.ymin + ymin1 = box1.ymin + ymax0 = box0.ymax + ymax1 = box1.ymax + + if ymax1 < ymin0 or ymax0 < ymin1: return False - if p0_1[2] < p1_0[2] or p1_1[2] < p0_0[2]: + zmin0 = box0.zmin + zmin1 = box1.zmin + zmax0 = box0.zmax + zmax1 = box1.zmax + + if zmax1 < zmin0 or zmax0 < zmin1: return False return True -def is_box_box_collision(box0, box1): +def is_box_box_collision(box0: Box, box1: Box): """Verify if this box collides with another box. Parameters @@ -71,17 +89,6 @@ def is_box_box_collision(box0, box1): False otherwise. """ - - def get_separation_plane(relative_position, axis, box0, box1): - return abs(relative_position.dot(axis)) > ( - abs((box0.frame.xaxis * box0.width * 0.5).dot(axis)) - + abs((box0.frame.yaxis * box0.depth * 0.5).dot(axis)) - + abs((box0.frame.zaxis * box0.height * 0.5).dot(axis)) - + abs((box1.frame.xaxis * box1.width * 0.5).dot(axis)) - + abs((box1.frame.yaxis * box1.depth * 0.5).dot(axis)) - + abs((box1.frame.zaxis * box1.height * 0.5).dot(axis)) - ) - relative_position = box1.frame.point - box0.frame.point result = not ( @@ -138,9 +145,6 @@ def is_face_to_face_collision( Other Element Face Index - int """ - if shapely_available is False: - return [] - _frames0 = frames0 _frames1 = frames1 diff --git a/src/compas_model/algorithms/intersections.py b/src/compas_model/algorithms/intersections.py index d4bacc31..6319f200 100644 --- a/src/compas_model/algorithms/intersections.py +++ b/src/compas_model/algorithms/intersections.py @@ -1,2 +1,729 @@ -def model_intersections(): - pass +from math import inf + +from compas.geometry import Box +from compas.geometry import Line +from compas.geometry import Point +from compas.geometry import Vector +from compas.tolerance import TOL + +# ============================================================================= +# Intersection queries - Helpers +# ============================================================================= + + +def is_line_contained_locally(point: Point, direction: Vector, dx: float, dy: float, dz: float) -> bool: + """Determine whether the direction vector from a specific point is contained within the specified coordinate extents. + + Parameters + ---------- + point : :class:`Point` + The base point of the direction. + direction : :class:`Vector` + The direction vector. + dx : float + Extent of X coordinate. + dy : float + Extent of Y coordinate. + dz : float + Extent of Z coordinate. + + Returns + ------- + bool + True if the direction is contained. + False otherwise. + + """ + dxp = direction.cross(point) + + dirx = abs(direction.x) + diry = abs(direction.y) + dirz = abs(direction.z) + + if abs(dxp.x) > dy * dirz + dz * diry: + return False + + if abs(dxp.y) > dx * dirz + dz * dirx: + return False + + if abs(dxp.z) > dx * diry + dy * dirx: + return False + + return True + + +def is_ray_contained_locally(point: Point, direction: Vector, extents: list[float]) -> bool: + """Determine whether a ray is contained within the given extents along local axes. + + Parameters + ---------- + point : :class:`Point` + The base point of the ray. + direction : :class:`Vector` + The direction of the ray. + extents : list[float] + The coordinate extents along local axes. + + Returns + ------- + bool + True if the ray is contained. + False otherwise. + + """ + for i in range(3): + if abs(point[i]) > extents[i] and point[i] * direction[i] >= 0: + return False + + return is_line_contained_locally(point, direction, *extents) + + +def is_segment_contained_locally(point: Point, direction: Vector, segment_extents: list[float], box_extents: list[float]) -> bool: + """Determine whether a segment is contained within the given extents along local axes. + + Parameters + ---------- + point : :class:`Point` + The base point of the ray. + direction : :class:`Vector` + The direction of the ray. + extents : list[float] + The coordinate extents along local axes. + + Returns + ------- + bool + True if the ray is contained. + False otherwise. + + """ + for i in range(3): + if abs(point[i]) > segment_extents[i] and point[i] * direction[i] >= 0: + return False + + return is_line_contained_locally(point, direction, *box_extents) + + +# ============================================================================= +# Intersection queries +# ============================================================================= + + +def is_intersection_line_box(line: Line, box: Box) -> bool: + """Determine whether a line intersects an oriented box. + + Parameters + ---------- + line : :class:`Line` + The line. + box : :class:`Box` + The box. + + Returns + ------- + bool + True if the line intersects the box. + False otherwise. + + Notes + ----- + The implementation is based on the method of separating axes. + + References + ---------- + [ ] ... + + """ + dx = 0.5 * box.xsize + dy = 0.5 * box.ysize + dz = 0.5 * box.zsize + + pointvector = line.point - box.frame.point + direction = line.direction + + pointvector = Vector( + pointvector.dot(box.frame.xaxis), + pointvector.dot(box.frame.yaxis), + pointvector.dot(box.frame.zaxis), + ) + direction = Vector( + direction.dot(box.frame.xaxis), + direction.dot(box.frame.yaxis), + direction.dot(box.frame.zaxis), + ) + + return is_line_contained_locally(pointvector, direction, dx, dy, dz) + + +def is_intersection_line_aabb(line: Line, box: Box) -> bool: + """Determine whether a line intersects with an aligned box. + + Parameters + ---------- + line : :class:`Line` + The line. + box : :class:`Box` + The test box. + + Returns + ------- + bool + + """ + dx = 0.5 * box.xsize + dy = 0.5 * box.ysize + dz = 0.5 * box.zsize + + pointvector = line.start - box.frame.point + direction = line.direction + + return is_line_contained_locally(pointvector, direction, dx, dy, dz) + + +def is_intersection_ray_box(ray: Line, box: Box) -> bool: + """Determine whether a ray intersects a box. + + Parameters + ---------- + ray : :class:`Line` + The ray. + box : :class:`Box` + The box. + + Returns + ------- + bool + True if the ray intersects the box. + False otherwise. + + """ + pointvector = ray.point - box.frame.point + direction = ray.direction + extents = [0.5 * box.xsize, 0.5 * box.ysize, 0.5 * box.zsize] + + pointvector = Vector( + pointvector.dot(box.frame.xaxis), + pointvector.dot(box.frame.yaxis), + pointvector.dot(box.frame.zaxis), + ) + direction = Vector( + direction.dot(box.frame.xaxis), + direction.dot(box.frame.yaxis), + direction.dot(box.frame.zaxis), + ) + + return is_ray_contained_locally(pointvector, direction, extents) + + +def is_intersection_ray_aabb(ray: Line, box: Box) -> bool: + """Determine whether a ray intersects an axis aligned box. + + Parameters + ---------- + ray : :class:`Line` + The ray. + box : :class:`Box` + The box. + + Returns + ------- + bool + True if the ray intersects the box. + False otherwise. + + """ + pointvector = ray.point - box.frame.point + direction = ray.direction + extents = [0.5 * box.xsize, 0.5 * box.ysize, 0.5 * box.zsize] + + return is_ray_contained_locally(pointvector, direction, extents) + + +def is_intersection_segment_box(segment: Line, box: Box) -> bool: + """Determine whether a segment intersects a box. + + Parameters + ---------- + segment : :class:`Line` + The segment. + box : :class:`Box` + The box. + + Returns + ------- + bool + True if the segment intersects the box. + False otherwise. + + """ + pointvector = segment.midpoint - box.frame.point + direction = segment.direction + extents = [0.5 * box.xsize, 0.5 * box.ysize, 0.5 * box.zsize] + + pointvector = Vector( + pointvector.dot(box.frame.xaxis), + pointvector.dot(box.frame.yaxis), + pointvector.dot(box.frame.zaxis), + ) + direction = Vector( + direction.dot(box.frame.xaxis), + direction.dot(box.frame.yaxis), + direction.dot(box.frame.zaxis), + ) + + return is_segment_contained_locally(pointvector, direction, extents) + + +def is_intersection_segment_aabb(segment: Line, box: Box) -> bool: + """Determine whether a segment intersects an axis aligned box. + + Parameters + ---------- + segment : :class:`Line` + The segment. + box : :class:`Box` + The box. + + Returns + ------- + bool + True if the segmnet intersects the box. + False otherwise. + + """ + pointvector = segment.midpoint - box.frame.point + direction = segment.direction + extents = [0.5 * box.xsize, 0.5 * box.ysize, 0.5 * box.zsize] + + return is_segment_contained_locally(pointvector, direction, extents) + + +def is_intersection_box_box(a: Box, b: Box) -> bool: + """Determine whether a box intersects another box. + + Parameters + ---------- + a : :class:`Box` + The first box. + b : :class:`Box` + The second box. + + Returns + ------- + bool + True if the boxes intersect. + False otherwise. + + """ + da = [0.5 * a.xsize, 0.5 * a.ysize, 0.5 * a.zsize] + db = [0.5 * b.xsize, 0.5 * b.ysize, 0.5 * b.zsize] + + center = b.frame.point - a.frame.point + + C = [[0, 0, 0], [0, 0, 0], [0, 0, 0]] + absC = [[0, 0, 0], [0, 0, 0], [0, 0, 0]] + + # a.xaxis + C[0][0] = a.frame.xaxis.dot(b.frame.xaxis) + C[0][1] = a.frame.xaxis.dot(b.frame.yaxis) + C[0][2] = a.frame.xaxis.dot(b.frame.zaxis) + + absC[0][0] = abs(C[0][0]) + absC[0][1] = abs(C[0][1]) + absC[0][2] = abs(C[0][2]) + + if abs(a.frame.xaxis.dot(center)) > da[0] + db[0] * absC[0][0] + db[1] * absC[0][1] + db[2] * absC[0][2]: + return False + + # a.yaxis + C[1][0] = a.frame.yaxis.dot(b.frame.xaxis) + C[1][1] = a.frame.yaxis.dot(b.frame.yaxis) + C[1][2] = a.frame.yaxis.dot(b.frame.zaxis) + + absC[1][0] = abs(C[1][0]) + absC[1][1] = abs(C[1][1]) + absC[1][2] = abs(C[1][2]) + + if abs(a.frame.yaxis.dot(center)) > da[1] + db[0] * absC[1][0] + db[1] * absC[1][1] + db[2] * absC[1][2]: + return False + + # a.zaxis + C[2][0] = a.frame.zaxis.dot(b.frame.xaxis) + C[2][1] = a.frame.zaxis.dot(b.frame.yaxis) + C[2][2] = a.frame.zaxis.dot(b.frame.zaxis) + + absC[2][0] = abs(C[2][0]) + absC[2][1] = abs(C[2][1]) + absC[2][2] = abs(C[2][2]) + + if abs(a.frame.zaxis.dot(center)) > da[2] + db[0] * absC[2][0] + db[1] * absC[2][1] + db[2] * absC[2][2]: + return False + + # b.xaxis + if abs(b.frame.xaxis.dot(center)) > da[0] * absC[0][0] + da[1] * absC[0][1] + da[2] * absC[0][2] + db[0]: + return False + + # b.yaxis + if abs(b.frame.yaxis.dot(center)) > da[0] * absC[1][0] + da[1] * absC[1][1] + da[2] * absC[1][2] + db[1]: + return False + + # b.zaxis + if abs(b.frame.zaxis.dot(center)) > da[0] * absC[2][0] + da[1] * absC[2][1] + da[2] * absC[2][2] + db[2]: + return False + + ax_b = [a.frame.zaxis.dot(center), a.frame.yaxis.dot(center)] + + # a.xaxis.cross(b.xaxis) + if abs(C[1][0] * ax_b[0] - C[2][0] * ax_b[1]) > da[1] * absC[2][0] + da[2] * absC[1][0] + db[1] * absC[0][2] + db[2] * absC[0][1]: + return False + + # a.xaxis.cross(b.yaxis) + if abs(C[1][1] * ax_b[0] - C[2][1] * ax_b[1]) > da[1] * absC[2][1] + da[2] * absC[1][1] + db[0] * absC[0][2] + db[2] * absC[0][0]: + return False + + # a.xaxis.cross(b.zaxis) + if abs(C[1][2] * ax_b[0] - C[2][2] * ax_b[1]) > da[1] * absC[2][2] + da[2] * absC[1][2] + db[0] * absC[0][1] + db[1] * absC[0][0]: + return False + + ay_b = [a.frame.xaxis.dot(center), a.frame.zaxis.dot(center)] + + # a.yaxis.cross(b.xaxis) + if abs(C[2][0] * ay_b[0] - C[0][0] * ay_b[1]) > da[0] * absC[2][0] + da[2] * absC[0][0] + db[1] * absC[1][2] + db[2] * absC[1][1]: + return False + + # a.yaxis.cross(b.yaxis) + if abs(C[2][1] * ay_b[0] - C[0][1] * ay_b[1]) > da[0] * absC[2][1] + da[2] * absC[0][1] + db[0] * absC[1][2] + db[2] * absC[1][0]: + return False + + # a.yaxis.cross(b.zaxis) + if abs(C[2][2] * ay_b[0] - C[0][2] * ay_b[1]) > da[0] * absC[2][2] + da[2] * absC[0][2] + db[0] * absC[1][1] + db[1] * absC[1][0]: + return False + + az_b = [a.frame.yaxis.dot(center), a.frame.xaxis.dot(center)] + + # a.zaxis.cross(b.xaxis) + if abs(C[0][0] * az_b[0] - C[1][0] * az_b[1]) > da[0] * absC[1][0] + da[1] * absC[0][0] + db[1] * absC[2][2] + db[2] * absC[2][1]: + return False + + # a.zaxis.cross(b.yaxis) + if abs(C[0][1] * az_b[0] - C[1][1] * az_b[1]) > da[0] * absC[1][1] + da[1] * absC[0][1] + db[0] * absC[2][2] + db[2] * absC[2][0]: + return False + + # a.zaxis.cross(b.zaxis) + if abs(C[0][2] * az_b[0] - C[1][2] * az_b[1]) > da[0] * absC[1][2] + da[1] * absC[0][2] + db[0] * absC[2][1] + db[1] * absC[2][0]: + return False + + return True + + +# def is_intersection_aabb_aabb(a: Box, b: Box) -> bool: +# """Determine whether a two axis aligned boxes intersect. + +# Parameters +# ---------- +# a : :class:`Box` +# The first box. +# b : :class:`Box` +# The second box. + +# Returns +# ------- +# bool +# True if the boxes intersect. +# False otherwise. + +# """ +# pass + + +# ============================================================================= +# Intersection points - Helpers +# ============================================================================= + + +def is_clipped(denominator: float, numerator: float, t: list[float]) -> bool: + if denominator > 0: + if numerator > denominator * t[1]: + return False + if numerator > denominator * t[0]: + t[0] = numerator / denominator + return True + if denominator < 0: + if numerator > denominator * t[0]: + return False + if numerator > denominator * t[1]: + t[1] = numerator / denominator + return True + return numerator <= 0 + + +def intersections_line_box_locally(point: Point, direction: Vector, extents: list[float]) -> tuple[int, list[Point]]: + t = [-inf, inf] + dx, dy, dz = extents + + not_culled: bool = ( + is_clipped(+direction.x, -point.x - dx, t) + and is_clipped(-direction.x, +point.x - dx, t) + and is_clipped(+direction.y, -point.y - dy, t) + and is_clipped(-direction.y, +point.y - dy, t) + and is_clipped(+direction.z, -point.z - dz, t) + and is_clipped(-direction.z, +point.z - dz, t) + ) + + count: int + + if not_culled: + if t[1] > t[0]: + count = 2 + else: + count = 1 + t[1] = t[0] + else: + count = 0 + t = [inf, -inf] + + return count, t + + +def intersections_ray_box_locally(point: Point, direction: Vector, extents: list[float]) -> tuple[int, list[Point]]: + count, t = intersections_line_box_locally(point, direction, extents) + + if count > 0: + if t[1] >= 0: + if t[0] < 0: + t[0] = 0 + else: + count = 0 + + return count, t + + +# ============================================================================= +# Intersection points +# ============================================================================= + + +def intersection_ray_triangle(line: Line, triangle: list[Point]) -> Point | None: + """Compute the intersection between a ray and a triangle. + + Parameters + ---------- + line : :class:`Line` + The ray. + triangle : list[:class:`Point`] + The triangle as a list of three points. + + Results + ------- + :class:`Point` | None + The intersection point if one exists. + + Notes + ----- + The function is an implementation of the Möller-Trumbore intersection algorithm [1]. + + References + ---------- + [1] https://en.wikipedia.org/wiki/M%C3%B6ller%E2%80%93Trumbore_intersection_algorithm + + """ + point = line.point + direction = line.direction + a, b, c = triangle + ab = b - a + ac = c - a + d_ac = direction.cross(ac) + + det = ab.dot(d_ac) + if TOL.is_zero(det): + return + + inv_det = 1.0 / det + ap = point - a + + u = inv_det * ap.dot(d_ac) + if TOL.is_negative(u) or TOL.is_positive(u - 1): + return + + ap_ab = ap.cross(ab) + + v = inv_det * direction.dot(ap_ab) + if TOL.is_negative(v) or TOL.is_positive(u + v - 1): + return + + t = inv_det * ac.dot(ap_ab) + + if TOL.is_positive(t): + return point + direction * t + + return None + + +def intersections_line_box(line: Line, box: Box) -> tuple[int, list[Point]]: + """Find the intersections between a line and a box. + + Parameters + ---------- + line : :class:`Line` + The line. + box : :class:`Box` + An oriented box. + + Returns + ------- + tuple[bool, list[:class:`Point`]] + The number of intersections, and a list of intersection points. + If the number of intersections is 0 (zero), the list is empty. + If the number of intersections is 1 (one), the list contains two identical points. + If the number of intersections is 2 (two), the list contains two distinct points. + + """ + pointvector = line.point - box.frame.point + direction = line.direction + extents = [0.5 * box.xsize, 0.5 * box.ysize, 0.5 * box.zsize] + + pointvector = Vector( + pointvector.dot(box.frame.xaxis), + pointvector.dot(box.frame.yaxis), + pointvector.dot(box.frame.zaxis), + ) + direction = Vector( + direction.dot(box.frame.xaxis), + direction.dot(box.frame.yaxis), + direction.dot(box.frame.zaxis), + ) + + count, t = intersections_line_box_locally(pointvector, direction, extents) + points = [] + + if count: + point = line.point + direction = line.direction + for i in range(count): + points.append(point + direction * t[i]) + + return count, points + + +def intersections_line_aabb(line: Line, box: Box) -> tuple[int, list[Point]]: + """Find the intersections between a line and an axis aligned box. + + Parameters + ---------- + line : :class:`Line` + The line. + box : :class:`Box` + An axis aligned box. + + Returns + ------- + tuple[bool, list[:class:`Point`]] + The number of intersections, and a list of intersection points. + If the number of intersections is 0 (zero), the list is empty. + If the number of intersections is 1 (one), the list contains two identical points. + If the number of intersections is 2 (two), the list contains two distinct points. + + """ + pointvector = line.point - box.frame.point + direction = line.direction + extents = [0.5 * box.xsize, 0.5 * box.ysize, 0.5 * box.zsize] + + count, t = intersections_line_box_locally(pointvector, direction, extents) + points = [] + + if count: + point = line.point + direction = line.direction + for i in range(count): + points.append(point + direction * t[i]) + + return count, points + + +def intersections_ray_box(ray: Line, box: Box) -> tuple[int, list[Point]]: + """Find the intersections between a ray and a box. + + Parameters + ---------- + ray : :class:`Line` + The line. + box : :class:`Box` + An oriented box. + + Returns + ------- + tuple[bool, list[:class:`Point`]] + The number of intersections, and a list of intersection points. + If the number of intersections is 0 (zero), the list is empty. + If the number of intersections is 1 (one), the list contains two identical points. + If the number of intersections is 2 (two), the list contains two distinct points. + + """ + pointvector = ray.point - box.frame.point + direction = ray.direction + extents = [0.5 * box.xsize, 0.5 * box.ysize, 0.5 * box.zsize] + + pointvector = Vector( + pointvector.dot(box.frame.xaxis), + pointvector.dot(box.frame.yaxis), + pointvector.dot(box.frame.zaxis), + ) + direction = Vector( + direction.dot(box.frame.xaxis), + direction.dot(box.frame.yaxis), + direction.dot(box.frame.zaxis), + ) + + count, t = intersections_ray_box_locally(pointvector, direction, extents) + points = [] + + if count: + point = ray.point + direction = ray.direction + for i in range(count): + points.append(point + direction * t[i]) + + return count, points + + +def intersections_ray_aabb(ray: Line, box: Box) -> tuple[int, list[Point]]: + """Find the intersections between a ray and an axis aligned box. + + Parameters + ---------- + ray : :class:`Line` + The ray. + box : :class:`Box` + An axis aligned box. + + Returns + ------- + tuple[bool, list[:class:`Point`]] + The number of intersections, and a list of intersection points. + If the number of intersections is 0 (zero), the list is empty. + If the number of intersections is 1 (one), the list contains two identical points. + If the number of intersections is 2 (two), the list contains two distinct points. + + """ + pointvector = ray.point - box.frame.point + direction = ray.direction + extents = [0.5 * box.xsize, 0.5 * box.ysize, 0.5 * box.zsize] + + count, t = intersections_ray_box_locally(pointvector, direction, extents) + points = [] + + if count: + point = ray.point + direction = ray.direction + for i in range(count): + points.append(point + direction * t[i]) + + return count, points + + +# def intersections_segment_box(): +# pass + + +# def intersections_segment_aabb(): +# pass diff --git a/src/compas_model/algorithms/minkowski2.py b/src/compas_model/algorithms/minkowski2.py new file mode 100644 index 00000000..02a8774e --- /dev/null +++ b/src/compas_model/algorithms/minkowski2.py @@ -0,0 +1,64 @@ +from math import atan2 + +from compas.geometry import Point +from compas.geometry import Polygon +from compas.geometry import Vector +from compas.geometry import centroid_points_xy +from compas.geometry import distance_point_line_sqrd_xy +from compas.geometry import dot_vectors_xy +from compas.itertools import pairwise + + +def cross(u: Vector, v: Vector) -> float: + return u[0] * v[1] - u[1] * v[0] + + +def bottomleft(points) -> int: + return sorted(enumerate(points), key=lambda x: (x[1][1], x[1][0]))[0][0] + + +def sort_ccw(points: list[Point]): + cx, cy, cz = centroid_points_xy(points) + indices, points = zip(*sorted(enumerate(points), key=lambda x: atan2(x[1][1] - cy, x[1][0] - cx))) + return [points[i] for i in indices] + + +def sort_bottomleft(points: list[Point]) -> list[Point]: + index = bottomleft(points) + return points[index:] + points[:index] + + +def support_point(A: list[Vector], direction: Vector) -> Vector: + return sorted(A, key=lambda point: dot_vectors_xy(point, direction))[-1] + + +def support(A: list[Vector], B: list[Vector], direction: Vector) -> Vector: + return support_point(A, direction) - support_point(B, direction * -1) + + +def closest_edge_to_origin(abc) -> tuple[Point, Point]: + return sorted(pairwise(abc + abc[:1]), key=lambda line: distance_point_line_sqrd_xy([0, 0, 0], line))[0] + + +def minksum2(A: Polygon, B: Polygon) -> Polygon: + points = [] + + A = sort_bottomleft(sort_ccw(A)) + B = sort_bottomleft(sort_ccw(B)) + + i, j = 0, 0 + la, lb = len(A), len(B) + + while i < la or j < lb: + points.append(A[i % la] + B[j % lb]) + d = cross(A[(i + 1) % la] - A[i % la], B[(j + 1) % lb] - B[j % lb]) + if d >= 0: + i += 1 + if d <= 0: + j += 1 + + return Polygon(points) + + +def minkdiff2(A: Polygon, B: Polygon) -> Polygon: + return minksum2(A, [Point(-x, -y, -z) for x, y, z in B]) diff --git a/src/compas_model/algorithms/minkowski3.py b/src/compas_model/algorithms/minkowski3.py new file mode 100644 index 00000000..5deb0ff5 --- /dev/null +++ b/src/compas_model/algorithms/minkowski3.py @@ -0,0 +1,7 @@ +# points = [] +# for a in A: +# for b in B: +# points.append(Point(*(a + b))) +# indices, lines = convex_hull_xy_numpy(points) +# C = Polygon([points[i] for i in indices]) + diff --git a/src/compas_model/algorithms/overlaps.py b/src/compas_model/algorithms/overlaps.py index 77ef6135..0c4ae555 100644 --- a/src/compas_model/algorithms/overlaps.py +++ b/src/compas_model/algorithms/overlaps.py @@ -1,7 +1,11 @@ -from compas.geometry import Brep -from compas.tolerance import TOL +from typing import Optional + from compas_occ.brep import OCCBrepFace as BrepFace +from compas.datastructures import Mesh +from compas.geometry import Brep +from compas.geometry import Polygon +from compas.tolerance import TOL from compas_model.interactions import ContactInterface from compas_model.models import Model @@ -10,29 +14,34 @@ def model_overlaps( model: Model, - deflection=None, - tolerance=1, nmax: int = 10, - tmax: float = 1e-6, amin: float = 1e-2, nnbrs_dims: int = 3, -): + deflection: Optional[float] = None, + tolerance: float = 1, +) -> None: """Identify the interfaces between the blocks of an assembly. Parameters ---------- - assembly : compas_assembly.datastructures.Assembly - An assembly of discrete blocks. + model : :class:`Model` + A model of blocks represented by Breps. nmax : int, optional Maximum number of neighbours per block. - tmax : float, optional - Maximum deviation from the perfectly flat interface plane. amin : float, optional Minimum area of a "face-face" interface. + nnbrs_dims : int, optional + The number of dimensions for the nearest neighbours search. + deflection : float, optional + The allowable linear deflection for approximating a curved surface using a triangle mesh. + Default is to use `compas.tolerance.TOL.lineardeflection`. + tolerance : float, optional + The tolerance for considering two surfaces overlapping. + Default is to use `compas.tolerance.TOL.???`. Returns ------- - :class:`Assembly` + None """ deflection = deflection or TOL.lineardeflection @@ -46,6 +55,7 @@ def model_overlaps( cloud = [geometry.centroid for geometry in geometries] nnbrs = find_nearest_neighbours(cloud, nmax, dims=nnbrs_dims) + # reset edges model.graph.edge = {node: {} for node in model.graph.nodes()} for u in model.graph.nodes(): @@ -65,73 +75,80 @@ def model_overlaps( B = geometries[j] - overlaps = brep_brep_overlaps(A, B, deflection=deflection, tolerance=tolerance, tmax=tmax, amin=amin) + overlaps = brep_brep_overlaps(A, B, deflection=deflection, tolerance=tolerance, amin=amin) if overlaps: model.graph.add_edge(u, v, interactions=overlaps) - return model - def brep_brep_overlaps( A: Brep, B: Brep, - deflection=None, - tolerance=1, - tmax: float = 1e-6, + deflection: Optional[float] = None, + tolerance: float = 1, amin: float = 1e-2, ) -> list[ContactInterface]: """Compute all face-face contact interfaces between two meshes. Parameters ---------- - a : :class:`Block` - b : :class:`Block` - tmax : float, optional - Maximum deviation from the perfectly flat interface plane. + A : :class:`Brep` + The source block. + B : :class:`Brep` + The target block. + deflection : float, optional + The allowable linear deflection for approximating a curved surface using a triangle mesh. + Default is to use `compas.tolerance.TOL.lineardeflection`. + tolerance : float, optional + The tolerance for considering two surfaces overlapping. + Default is to use `compas.tolerance.TOL.???`. amin : float, optional Minimum area of a "face-face" interface. Returns ------- - List[:class:`ContactInterface`] - - Notes - ----- - For equilibrium calculations with CRA, it is important that interface frames are aligned - with the direction of the (interaction) edges on which they are stored. - - This means that if the + list[:class:`ContactInterface`] """ - faces_A, faces_B = A.overlap(B, deflection=deflection, tolerance=tolerance) faces_A: list[BrepFace] faces_B: list[BrepFace] overlaps: list[ContactInterface] = [] + faces_A, faces_B = A.overlap(B, deflection=deflection, tolerance=tolerance) + + brep_A: Brep + brep_B: Brep + brep_C: Brep + poly_C: Polygon + mesh_C: Mesh + if faces_A and faces_B: for face_A in faces_A: brep_A = Brep.from_brepfaces([face_A]) - if brep_A.area < amin: + if brep_A.area < amin: # is this only defined for OCC? continue for face_B in faces_B: brep_B = Brep.from_brepfaces([face_B]) - if brep_B.area < amin: + if brep_B.area < amin: # is this only defined for OCC? continue - brep_C: Brep = Brep.from_boolean_intersection(brep_A, brep_B) + brep_C = Brep.from_boolean_intersection(brep_A, brep_B) - if brep_C.area < amin: + if brep_C.area < amin: # is this only defined for OCC? continue - poly_C = brep_C.to_polygons()[0] - mesh_C = brep_C.to_tesselation()[0] + poly_C = brep_C.to_polygons()[0] # is this only defined for OCC? + mesh_C = brep_C.to_tesselation()[0] # is this only defined for OCC? overlap = ContactInterface(points=poly_C.points, mesh=mesh_C) overlaps.append(overlap) return overlaps + + +def merge_coplanar_overlaps(): + pass diff --git a/src/compas_model/analysis/fea.py b/src/compas_model/analysis/fea.py new file mode 100644 index 00000000..e69de29b diff --git a/src/compas_model/analysis/lca.py b/src/compas_model/analysis/lca.py new file mode 100644 index 00000000..e69de29b diff --git a/src/compas_model/elements/beam.py b/src/compas_model/elements/beam.py new file mode 100644 index 00000000..e69de29b diff --git a/src/compas_model/elements/column.py b/src/compas_model/elements/column.py new file mode 100644 index 00000000..e69de29b diff --git a/src/compas_model/interactions/collision.py b/src/compas_model/interactions/collision.py new file mode 100644 index 00000000..e69de29b diff --git a/src/compas_model/interactions/interaction.py b/src/compas_model/interactions/interaction.py index 95b8f6de..fae51a68 100644 --- a/src/compas_model/interactions/interaction.py +++ b/src/compas_model/interactions/interaction.py @@ -15,7 +15,7 @@ class Interaction(Data): @property def __data__(self) -> dict: - return {"name": self.name} + return {} def __init__(self, name: Optional[str] = None) -> None: super().__init__(name=name) diff --git a/src/compas_model/interactions/modifier.py b/src/compas_model/interactions/modifier.py new file mode 100644 index 00000000..e69de29b diff --git a/src/compas_model/viewers/blockmodelviewer.py b/src/compas_model/viewers/blockmodelviewer.py index ab7e1056..4ef81e44 100644 --- a/src/compas_model/viewers/blockmodelviewer.py +++ b/src/compas_model/viewers/blockmodelviewer.py @@ -2,15 +2,14 @@ from compas.datastructures import Mesh from compas.geometry import Line from compas.itertools import remap_values -from compas_viewer import Viewer -from compas_viewer.components import Button -from compas_viewer.components.slider import Slider -from compas_viewer.scene import GroupObject - from compas_model.elements import BlockElement from compas_model.elements import BlockGeometry from compas_model.interactions import ContactInterface from compas_model.models import Model +from compas_viewer import Viewer +from compas_viewer.components import Button +from compas_viewer.components.slider import Slider +from compas_viewer.scene import GroupObject def toggle_supports(): diff --git a/tests/test_algorithms_collider.py b/tests/test_algorithms_collider.py index ea7e3180..bad85d0c 100644 --- a/tests/test_algorithms_collider.py +++ b/tests/test_algorithms_collider.py @@ -71,14 +71,3 @@ def test_is_face_to_face_collision(): result = collisions.is_face_to_face_collision(polygons0, polygons1, None, None, 0.01, 0.01, True) assert result[0][0] == (2, 4) - - -if __name__ == "__main__": - test_is_aabb_aabb_collision() - test_is_box_box_collision_parallel_face() - test_is_box_box_collision_edge() - test_is_box_box_collision_vertex() - test_is_box_box_collision_rotated() - test_is_box_box_collision_inside() - test_is_face_to_face_collision() - print("All tests passed!") diff --git a/tests/test_algorithms_intersections.py b/tests/test_algorithms_intersections.py new file mode 100644 index 00000000..e34c9252 --- /dev/null +++ b/tests/test_algorithms_intersections.py @@ -0,0 +1,54 @@ +from math import pi +from pytest import mark +from random import random + +from compas.geometry import Box +from compas.geometry import Line +from compas.geometry import Rotation +from compas_model.algorithms.intersections import intersections_line_aabb +from compas_model.algorithms.intersections import intersections_line_box +from compas_model.algorithms.intersections import intersections_ray_aabb +from compas_model.algorithms.intersections import intersections_ray_box + + +@mark.parametrize( + ["line", "known"], + [ + [Line([0, 0, 0], [1, 0, 0]), (2, [[-1, 0, 0], [1, 0, 0]])], + [Line([0, 0, 0], [-1, 0, 0]), (2, [[1, 0, 0], [-1, 0, 0]])], + [Line([0, 0, 0], [0, 1, 0]), (2, [[0, -1, 0], [0, 1, 0]])], + [Line([0, 0, 0], [0, -1, 0]), (2, [[0, 1, 0], [0, -1, 0]])], + [Line([0, 0, 0], [0, 0, 1]), (2, [[0, 0, -1], [0, 0, 1]])], + [Line([0, 0, 0], [0, 0, -1]), (2, [[0, 0, 1], [0, 0, -1]])], + [Line([0, 0, 0], [1, 1, 1]), (2, [[-1, -1, -1], [1, 1, 1]])], + [Line([0, 0, 0], [-1, -1, -1]), (2, [[1, 1, 1], [-1, -1, -1]])], + [Line([0, 0, 0], [-1, 1, 1]), (2, [[1, -1, -1], [-1, 1, 1]])], + [Line([0, 0, 0], [1, -1, -1]), (2, [[-1, 1, 1], [1, -1, -1]])], + [Line([1, 0, 0], [1, 0, 1]), (2, [[1, 0, -1], [1, 0, 1]])], + [Line([0, -1, 0], [-1, -1, 0]), (2, [[1, -1, 0], [-1, -1, 0]])], + [Line([-1, -1, -1], [-1, 1, 1]), (2, [[-1, -1, -1], [-1, 1, 1]])], + [Line([-1, -1, 1], [-1, 1, 1]), (2, [[-1, -1, 1], [-1, 1, 1]])], + [Line([2, 0, 0], [1, 0, 1]), (1, [[1, 0, 1], [1, 0, 1]])], + [Line([2, 0, 0], [1, 1, 1]), (1, [[1, 1, 1], [1, 1, 1]])], + [Line([2, 0, 0], [2, 0, 1]), (0, [])], + ], +) +def test_intersections_line_aabb_local_known(line, known): + box = Box(2, 2, 2) + count, points = intersections_line_aabb(line, box) + assert count == known[0] + assert count > 0 if len(points) > 0 else count == 0 + for i in range(count): + assert points[i] == known[1][i] + + +def test_intersections_line_aabb_local_random(): + line = Line.from_point_direction_length([0, 0, 0], [0, 0, 1], 10) + box = Box() + + for i in range(100): + angles = random() * 2 * pi, random() * pi, random() * 2 * pi + R = Rotation.from_euler_angles(angles) + count, points = intersections_line_aabb(line.transformed(R), box) + assert count == 2 + assert points[0] != points[1] From 09ef3fca624b027ad6b155a169c93b232475c740 Mon Sep 17 00:00:00 2001 From: tomvanmele Date: Wed, 8 Jan 2025 17:17:24 +0100 Subject: [PATCH 02/62] remove ref to static path --- docs/conf.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/conf.py b/docs/conf.py index ca9ec219..3514b9c5 100644 --- a/docs/conf.py +++ b/docs/conf.py @@ -148,7 +148,7 @@ def setup(app): "doc_path": "docs", } -html_static_path = sphinx_compas2_theme.get_html_static_path() + ["_static"] +html_static_path = sphinx_compas2_theme.get_html_static_path() html_css_files = [] html_extra_path = [] html_last_updated_fmt = "" From d4a32978efe8537f8ce998859a0b1f95f5ecad3d Mon Sep 17 00:00:00 2001 From: tomvanmele Date: Wed, 8 Jan 2025 17:19:06 +0100 Subject: [PATCH 03/62] remove irrelevant files --- docs/examples/PLACEHOLDER | 0 docs/examples/dem/PLACEHOLDER | 0 docs/examples/timber/PLACEHOLDER | 0 scripts/bbox.py | 24 --- scripts/bvh.py | 198 ---------------------- scripts/intersections.py | 54 ------ scripts/kdtree.py | 0 scripts/minkowski.py | 34 ---- src/compas_model/algorithms/collision2.py | 14 -- 9 files changed, 324 deletions(-) delete mode 100644 docs/examples/PLACEHOLDER delete mode 100644 docs/examples/dem/PLACEHOLDER delete mode 100644 docs/examples/timber/PLACEHOLDER delete mode 100644 scripts/bbox.py delete mode 100644 scripts/bvh.py delete mode 100644 scripts/intersections.py delete mode 100644 scripts/kdtree.py delete mode 100644 scripts/minkowski.py delete mode 100644 src/compas_model/algorithms/collision2.py diff --git a/docs/examples/PLACEHOLDER b/docs/examples/PLACEHOLDER deleted file mode 100644 index e69de29b..00000000 diff --git a/docs/examples/dem/PLACEHOLDER b/docs/examples/dem/PLACEHOLDER deleted file mode 100644 index e69de29b..00000000 diff --git a/docs/examples/timber/PLACEHOLDER b/docs/examples/timber/PLACEHOLDER deleted file mode 100644 index e69de29b..00000000 diff --git a/scripts/bbox.py b/scripts/bbox.py deleted file mode 100644 index c5da3b09..00000000 --- a/scripts/bbox.py +++ /dev/null @@ -1,24 +0,0 @@ -import numpy as np - -import compas -from compas.colors import Color -from compas.datastructures import Mesh -from compas.geometry import Box -from compas.geometry import oriented_bounding_box_numpy -from compas.geometry.bbox_numpy import minimum_volume_box -from compas_viewer import Viewer - -mesh = Mesh.from_obj(compas.get("tubemesh.obj")) - -faces = list(mesh.faces()) - -boxes = [Box.from_bounding_box(minimum_volume_box(np.asarray(mesh.face_points(face)))) for face in faces] - -# ============================================================================= -# Viz -# ============================================================================= - -viewer = Viewer() -viewer.scene.add(mesh) -viewer.scene.add(boxes[:10], show_faces=False) -viewer.show() diff --git a/scripts/bvh.py b/scripts/bvh.py deleted file mode 100644 index b958c5b5..00000000 --- a/scripts/bvh.py +++ /dev/null @@ -1,198 +0,0 @@ -import time -from typing import Generator -from typing import Optional -from typing import Type -from typing import Union - -import compas -from compas.colors import Color -from compas.datastructures import Mesh -from compas.datastructures import Tree -from compas.datastructures import TreeNode -from compas.geometry import Box -from compas.geometry import Line -from compas.geometry import Point -from compas.geometry import centroid_points -from compas.geometry import oriented_bounding_box_numpy -from compas_model.algorithms.intersections import intersection_ray_triangle -from compas_model.algorithms.intersections import is_intersection_box_box -from compas_model.algorithms.intersections import is_intersection_line_aabb -from compas_model.algorithms.intersections import is_intersection_line_box -from compas_viewer import Viewer - - -class BVHNode(TreeNode): - def __init__(self, objects: list[tuple[int, Point, list[Point]]], **kwargs): - super().__init__(**kwargs) - self.objects = objects - self._box = None - - @property - def box(self) -> Box: - if not self._box: - self._box = self.compute_box() - return self._box - - def compute_box(self) -> Box: - raise NotImplementedError - - def intersect_line(self, line: Line) -> Generator["BVHNode", None, None]: - raise NotImplementedError - - def intersect_box(self, box: Box) -> Generator["BVHNode", None, None]: - raise NotImplementedError - - -class AABBNode(BVHNode): - def compute_box(self) -> Box: - points = [point for o in self.objects for point in o[2]] - return Box.from_points(points) - - def intersect_line(self, line: Line) -> Generator["AABBNode", None, None]: - queue = [self] - while queue: - node = queue.pop(0) - if is_intersection_line_aabb(line, node.box): - yield node - queue.extend(node.children) - - -class OBBNode(BVHNode): - def compute_box(self) -> Box: - points = [point for o in self.objects for point in o[2]] - return Box.from_bounding_box(oriented_bounding_box_numpy(points)) - - def intersect_line(self, line: Line) -> Generator["OBBNode", None, None]: - queue = [self] - while queue: - node = queue.pop(0) - if is_intersection_line_box(line, node.box): - yield node - queue.extend(node.children) - - def intersect_box(self, box: Box) -> Generator["OBBNode", None, None]: - queue = [self] - while queue: - node = queue.pop(0) - if is_intersection_box_box(box, node.box): - yield node - queue.extend(node.children) - - -class BVH(Tree): - root: BVHNode - - def _add_objects( - self, - objects: list[tuple[int, Point, list[Point]]], - parent: BVHNode, - nodetype: Optional[Union[Type[AABBNode], Type[OBBNode]]] = OBBNode, - ) -> None: - if not objects: - return - - if len(objects) == 1: - parent.add(nodetype(objects[:1])) - return - - node = nodetype(objects) - parent.add(node) - - # sort objects according to xaxis box - # (use the xaxis because it has the largest spread/variance) - # perhaps axes should be rotated like in a KdTree? - # also, lots of literature exists about splitting strategies for BVH trees - # a common criterion is SAH (surface area heuristic) - center = node.box.frame.point - axis = node.box.frame.xaxis - objects.sort(key=lambda o: (o[1] - center).dot(axis)) - median = len(objects) // 2 - - # perhaps it woould make sense to make a specific binary tree - # with left/right instead of a list of children - - # "left" objects - self._add_objects(objects[:median], parent=node, nodetype=nodetype) - - # "right" objects - self._add_objects(objects[median:], parent=node, nodetype=nodetype) - - @classmethod - def from_triangles( - cls, - triangles: list[list[Point]], - nodetype: Optional[Union[Type[AABBNode], Type[OBBNode]]] = OBBNode, - ) -> "BVH": - objects = [(index, centroid_points(abc), abc) for index, abc in enumerate(triangles)] - tree = cls() - tree._add_objects(objects, parent=tree, nodetype=nodetype) - return tree - - @classmethod - def from_mesh( - cls, - mesh: Mesh, - nodetype: Optional[Union[Type[AABBNode], Type[OBBNode]]] = OBBNode, - ) -> "BVH": - faces = list(mesh.faces()) - objects = list(zip(faces, [mesh.face_centroid(face) for face in faces], [mesh.face_points(face) for face in faces])) - tree = cls() - tree._add_objects(objects, parent=tree, nodetype=nodetype) - return tree - - def intersect_line(self, line: Line) -> Generator[BVHNode, None, None]: - if self.root: - for node in self.root.intersect_line(line): - yield node - - def intersect_box(self, box: Box) -> Generator[BVHNode, None, None]: - if self.root: - for node in self.root.intersect_box(box): - yield node - - -# ============================================================================= -# Build BVH -# ============================================================================= - -mesh = Mesh.from_obj(compas.get("tubemesh.obj")) -mesh.quads_to_triangles() - -tree = BVH.from_mesh(mesh, nodetype=AABBNode) - -print(tree.get_hierarchy_string()) - -# ============================================================================= -# Intersections -# ============================================================================= - -t0 = time.time() - -boxes = [] -points = [] - -for i in range(1000): - line = Line.from_point_and_vector([2, 0 + i * 0.01, 0], [0, 0, 10]) - - for node in tree.intersect_line(line): - if node.is_leaf: - triangle = node.objects[0][2] - result = intersection_ray_triangle(line, triangle) - if result: - boxes.append(node.box) - points.append(Point(*result)) - -t1 = time.time() - -print(t1 - t0) - -# ============================================================================= -# Viz -# ============================================================================= - -viewer = Viewer() -viewer.scene.add(mesh) -viewer.scene.add(line, linecolor=Color.blue(), linewidth=2) -viewer.scene.add(boxes, facecolor=Color.green(), opacity=0.5) -viewer.scene.add(points, pointcolor=Color.red(), pointsize=10) -viewer.show() diff --git a/scripts/intersections.py b/scripts/intersections.py deleted file mode 100644 index d9a90b79..00000000 --- a/scripts/intersections.py +++ /dev/null @@ -1,54 +0,0 @@ -from math import radians - -from compas.colors import Color -from compas.geometry import Box -from compas.geometry import Frame -from compas.geometry import Line -from compas.geometry import Point -from compas.geometry import Transformation -from compas.geometry import Vector -from compas_model.algorithms.intersections import intersections_line_aabb -from compas_model.algorithms.intersections import intersections_line_box -from compas_model.algorithms.intersections import intersections_ray_box -from compas_model.algorithms.intersections import is_intersection_box_box -from compas_model.algorithms.intersections import is_intersection_line_box -from compas_viewer import Viewer - -# line = Line.from_point_direction_length([-10, 0, -5], [0, 0, 1], 10) -# box = Box(8, 5, 3) - -# for i in range(200): -# line.start.x += 0.1 -# print(is_intersection_line_box(line, box)) - -# viewer = Viewer() -# viewer.scene.add(line, linewidth=2, linecolor=Color.blue()) -# viewer.scene.add(box, facecolor=Color.red(), opacity=0.5) -# viewer.show() - -# line = Line.from_point_direction_length([3, 1, 1], [0.3, 1, 1], 10) -# box = Box(1, 1, 1, frame=Frame([3, 0, 0], [1, 0, 0], [0, 1, 0.5])) - -# line = Line([1, 0, 0], [0, 0, 1]) -# box = Box() - -# count, points = intersections_line_aabb(line, box) - -# print(count) -# print(points) - -# viewer = Viewer() -# viewer.scene.add(line, linewidth=2, linecolor=Color.blue()) -# viewer.scene.add(box, facecolor=Color.red(), opacity=0.5) -# viewer.scene.add(points, pointcolor=Color.green(), pointsize=20) -# viewer.show() - -b1 = Box() -b2 = Box(1, 1, 1, Frame([1.1, 0, 0])).rotated(radians(30)) - -print(is_intersection_box_box(b1, b2)) - -viewer = Viewer() -viewer.scene.add(b1, facecolor=Color.red(), opacity=0.5) -viewer.scene.add(b2, facecolor=Color.blue(), opacity=0.5) -viewer.show() diff --git a/scripts/kdtree.py b/scripts/kdtree.py deleted file mode 100644 index e69de29b..00000000 diff --git a/scripts/minkowski.py b/scripts/minkowski.py deleted file mode 100644 index 5e27adb2..00000000 --- a/scripts/minkowski.py +++ /dev/null @@ -1,34 +0,0 @@ -import time - -from compas.colors import Color -from compas.geometry import Polygon -from compas_model.algorithms.collision2 import is_collision2 -from compas_viewer import Viewer - -# ============================================================================= -# Compute -# ============================================================================= - -A = Polygon.from_rectangle([1, 0, 0], 1, 1) -B = Polygon.from_sides_and_radius_xy(5, 1).translated([2.5, 0, 0]) - -t0 = time.time() - -result, C = is_collision2(A, B, return_diff=True) -print(result) - -t1 = time.time() - -print(t1 - t0) - -# ============================================================================= -# Viz -# ============================================================================= - -viewer = Viewer() - -viewer.scene.add(A, facecolor=Color.red(), opacity=0.5) -viewer.scene.add(B, facecolor=Color.blue(), opacity=0.5) -viewer.scene.add(C, facecolor=Color.cyan(), opacity=0.5) - -viewer.show() diff --git a/src/compas_model/algorithms/collision2.py b/src/compas_model/algorithms/collision2.py deleted file mode 100644 index 8cbf5ec9..00000000 --- a/src/compas_model/algorithms/collision2.py +++ /dev/null @@ -1,14 +0,0 @@ -from typing import Union - -from compas.geometry import Polygon -from compas.geometry import is_point_in_convex_polygon_xy - -from .minkowski2 import minkdiff2 - - -def is_collision2(A: Polygon, B: Polygon, return_diff: bool = False) -> Union[bool, tuple[bool, Polygon]]: - C = minkdiff2(A, B) - result = is_point_in_convex_polygon_xy([0, 0, 0], C) - if not return_diff: - return result - return result, C From 0a00f2b52f255c24f78b765987220730fbf204ec Mon Sep 17 00:00:00 2001 From: tomvanmele Date: Wed, 8 Jan 2025 17:19:37 +0100 Subject: [PATCH 04/62] add algorithms --- CHANGELOG.md | 18 ++ src/compas_model/algorithms/__init__.py | 49 +++- src/compas_model/algorithms/bvh.py | 6 +- src/compas_model/algorithms/gjk2.py | 239 +++++++++++++++++++ src/compas_model/algorithms/intersections.py | 74 +++--- src/compas_model/algorithms/minkowski2.py | 151 ++++++++++-- 6 files changed, 468 insertions(+), 69 deletions(-) create mode 100644 src/compas_model/algorithms/gjk2.py diff --git a/CHANGELOG.md b/CHANGELOG.md index 133bef32..d02cc962 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -16,6 +16,24 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 * Added `Element.compute_elementgeometry()`. * Added `Element.compute_modelgeometry()` to replace `Element.compute_geometry()`. * Added `Element.compute_modeltransformation()` to replace `Element.compute_worldtransformation()`. +* Added `compas_model.algorithms.BVH` extending the base compas tree data structure into a bounding volume hierarchy. +* Added `compas_model.algorithms.AABBNode` representing a node of the BVH using an axis-aligned bounding box. +* Added `compas_model.algorithms.OBBNode` representing a node of the BVH using an oriented bounding box. +* Added `compas_model.algorithms.minkowski_sum_xy` to compute the Minkowski sum A + B of two convex polygons in the XY plane. +* Added `compas_model.algorithms.minkowski_difference_xy` as a convenience method to compute A + -B. +* Added `compas_model.algorithms.is_collision_poly_poly_xy` to check for collisions between convex polygons in the XY plane. +* Added `compas_model.algorithms.intersection_ray_triangle`. +* Added `compas_model.algorithms.intersections_line_aabb`. +* Added `compas_model.algorithms.intersections_line_box`. +* Added `compas_model.algorithms.intersections_ray_aabb`. +* Added `compas_model.algorithms.intersections_ray_box`. +* Added `compas_model.algorithms.is_intersection_box_box`. +* Added `compas_model.algorithms.is_intersection_line_aabb`. +* Added `compas_model.algorithms.is_intersection_line_box`. +* Added `compas_model.algorithms.is_intersection_ray_aabb`. +* Added `compas_model.algorithms.is_intersection_ray_box`. +* Added `compas_model.algorithms.is_intersection_segment_aabb`. +* Added `compas_model.algorithms.is_intersection_segment_box`. ### Changed diff --git a/src/compas_model/algorithms/__init__.py b/src/compas_model/algorithms/__init__.py index df209be7..22d761f8 100644 --- a/src/compas_model/algorithms/__init__.py +++ b/src/compas_model/algorithms/__init__.py @@ -1,17 +1,50 @@ -from .collisions import is_aabb_aabb_collision -from .collisions import is_box_box_collision -from .collisions import is_face_to_face_collision +from .intersections import is_intersection_line_aabb +from .intersections import is_intersection_line_box +from .intersections import is_intersection_ray_aabb +from .intersections import is_intersection_ray_box +from .intersections import is_intersection_segment_aabb +from .intersections import is_intersection_segment_box +from .intersections import is_intersection_box_box + +from .intersections import intersection_ray_triangle + +from .intersections import intersections_line_aabb +from .intersections import intersections_line_box +from .intersections import intersections_ray_aabb +from .intersections import intersections_ray_box + +from .minkowski2 import minkowski_sum_xy +from .minkowski2 import minkowski_difference_xy + +from .gjk2 import is_collision_poly_poly_xy + +from .bvh import AABBNode +from .bvh import OBBNode +from .bvh import BVH -from .collisions import get_collision_pairs # rename to model_collisions from .interfaces import model_interfaces from .overlaps import model_overlaps __all__ = [ - "is_aabb_aabb_collision", - "is_box_box_collision", - "is_face_to_face_collision", - "get_collision_pairs", + "AABBNode", + "OBBNode", + "BVH", + "intersection_ray_triangle", + "intersections_line_aabb", + "intersections_line_box", + "intersections_ray_aabb", + "intersections_ray_box", + "is_collision_poly_poly_xy", + "is_intersection_box_box", + "is_intersection_line_aabb", + "is_intersection_line_box", + "is_intersection_ray_aabb", + "is_intersection_ray_box", + "is_intersection_segment_aabb", + "is_intersection_segment_box", + "minkowski_difference_xy", + "minkowski_sum_xy", "model_interfaces", "model_overlaps", ] diff --git a/src/compas_model/algorithms/bvh.py b/src/compas_model/algorithms/bvh.py index f621610c..2d227b89 100644 --- a/src/compas_model/algorithms/bvh.py +++ b/src/compas_model/algorithms/bvh.py @@ -21,12 +21,12 @@ class BVHNode(TreeNode): Parameters ---------- - objects : list[tuple[int, :class:`Point`, list[:class:`Point`]]] + objects : list[tuple[int, :class:`compas.geometry.Point`, list[:class:`compas.geometry.Point`]]] The objects contained by the node. Attributes ---------- - box : :class:`Box` + box : :class:`compas.geometry.Box` The bounding volume box. The type of box depends on the type of node. @@ -61,7 +61,7 @@ def compute_box(self) -> Box: Returns ------- - :class:`Box` + :class:`compas.geometry.Box` """ points = [point for o in self.objects for point in o[2]] diff --git a/src/compas_model/algorithms/gjk2.py b/src/compas_model/algorithms/gjk2.py new file mode 100644 index 00000000..4bce2b56 --- /dev/null +++ b/src/compas_model/algorithms/gjk2.py @@ -0,0 +1,239 @@ +from compas.geometry import Point +from compas.geometry import Polygon +from compas.geometry import Vector +from compas.geometry import dot_vectors + + +def triplecross(u: Vector, v: Vector) -> Vector: + """Compute the vector perpendicular to u in the plane uxv and in the same directio as v. + + Parameters + ---------- + u : :class:`compas.geometry.Vector` + The first vector. + v : :class:`compas.geometry.Vector` + The second vector. + + Returns + ------- + :class:`compas.geometry.Vector` + + """ + return u.cross(v).cross(u) + + +# ============================================================================= +# Support functions +# ============================================================================= + + +def support_poly(points: list[Point], direction: Vector) -> Point: + """Find the point in a list of points that is farthest away from the origin in a given direction. + + Parameters + ---------- + points : list[:class:`compas.geometry.Point`] + A list of points. + + Returns + ------- + :class:`compas.geometry.Point` + + """ + point = points[0] + maxdot = dot_vectors(point, direction) + + for p in points[1:]: + d = dot_vectors(p, direction) + if d > maxdot: + maxdot = d + point = p + + return point + + +def support_poly_poly(A: list[Vector], B: list[Vector], direction: Vector) -> Vector: + """Compute a support point on the Minkowski sum of A and -B in the given direction. + + Parameters + ---------- + A : list[:class:`compas.geometry.Vector`] + Shape A represented by a list of point vectors. + B : list[:class:`compas.geometry.Vector`] + Shape B represented by a list of point vectors. + direction : :class:`compas.geometry.Vector` + The support direction. + + Returns + ------- + :class:`compas.geometry.Vector` + + """ + return support_poly(A, direction) - support_poly(B, direction * -1) + + +# ============================================================================= +# Simplex check +# ============================================================================= + + +def do_simplex(simplex: list[Point], direction: Vector) -> bool: + s = len(simplex) + + if s < 2: + raise ValueError(f"The simplex should have at least two components (points): {s}") + + if s == 2: + b = simplex[0] + a = simplex[1] + ao = a * -1 + ab = b - a + + if ab.dot(ao) >= 0: + cross = triplecross(ab, ao) + direction[0] = cross[0] + direction[1] = cross[1] + else: + simplex.pop(0) + direction[0] = ao[0] + direction[1] = ao[1] + + else: + # the simplex is a triangle + # we should check if the triangle is valid + # and if it contains the origin + # otherwise we should return the line (or point) closest to the origin + + # check voronoi regions + + c = simplex[0] + b = simplex[1] + a = simplex[2] + + ao = a * -1 + ab = b - a + ac = c - a + + if ab.dot(ao) >= 0: + # ab in same direction as ao + + cross = triplecross(ab, ao) # perpendicular to ab in direction of origin + + if ac.dot(cross) >= 0: + # ac in same direction as perp to ab + + cross = triplecross(ac, ao) # perpendicular to ac in direction of origin + if ab.dot(cross) >= 0: + # origin is inside a, b, c + return True + + # remove b => edge closest to origin is ac + # new direction is perpendicular to ac in direction of origin + simplex.pop(1) + direction[0] = cross[0] + direction[1] = cross[1] + + else: + # remove c => edge closest to origin is ab + # new direction is perpendicular to ab in direction of origin + simplex.pop(0) + direction[0] = cross[0] + direction[1] = cross[1] + + elif ac.dot(ao) >= 0: + # ac in same direction as ao + + cross = triplecross(ac, ao) # perpendicular to ac in direction of origin + + if ab.dot(cross) >= 0: + # origin is inside a, b, c + return True + + # remove b => edge closest to origin is ac + # new direction is perpendicular to ac in direction of origin + simplex.pop(1) + direction[0] = cross[0] + direction[1] = cross[1] + + else: + # remove b and c => a is closest to origin + # new direction is ao + simplex.pop(1) + simplex.pop(0) + direction[0] = ao[0] + direction[1] = ao[1] + + return False + + +# ============================================================================= +# Collision checks +# ============================================================================= + + +def is_collision_poly_poly_xy(A: Polygon, B: Polygon) -> bool: + """Determine whether two convex polygons collide in the XY plane using the GJK algorithm. + + Parameters + ---------- + A : :class:`compas.geometry.Polygon` + The first polygon. + B : :class:`compas.geometry.Polygon` + The second polygon. + + Returns + ------- + bool + True if the polygons collide. + False otherwise. + + Raises + ------ + RuntimeError + If the GJK algorithm doesn't converge after 100 iterations. + + Warnings + -------- + The polygons should be defined in the XY plane. + The polygons should be convex. + + Examples + -------- + >>> from compas.geometry import Polygon + >>> from compas_model.algorithms import is_collision_poly_poly_xy + + Construct two polygons in the XY plane. + + >>> A = Polygon.from_rectangle([0, 0, 0], 2, 1) + >>> B = Polygon.from_rectangle([1.5, 0.5, 0], 1, 1) + + Check if the polygons collide. + + >>> is_collision_poly_poly_xy(A, B) + True + + """ + direction = [1, 0, 0] + point = support_poly_poly(A, B, direction) + simplex = [point] + direction = point * -1 + + for _ in range(100): + # this should converge quite quickly + + point = support_poly_poly(A, B, direction) + + if point.dot(direction) < 0: + return False + + simplex.append(point) # minimum size is 2 + + if do_simplex(simplex, direction): + return True + + raise RuntimeError("GJK algorithm cannot terminate.") + + +# ============================================================================= +# Distances +# ============================================================================= diff --git a/src/compas_model/algorithms/intersections.py b/src/compas_model/algorithms/intersections.py index 6319f200..e51eba05 100644 --- a/src/compas_model/algorithms/intersections.py +++ b/src/compas_model/algorithms/intersections.py @@ -16,9 +16,9 @@ def is_line_contained_locally(point: Point, direction: Vector, dx: float, dy: fl Parameters ---------- - point : :class:`Point` + point : :class:`compas.geometry.Point` The base point of the direction. - direction : :class:`Vector` + direction : :class:`compas.geometry.Vector` The direction vector. dx : float Extent of X coordinate. @@ -57,9 +57,9 @@ def is_ray_contained_locally(point: Point, direction: Vector, extents: list[floa Parameters ---------- - point : :class:`Point` + point : :class:`compas.geometry.Point` The base point of the ray. - direction : :class:`Vector` + direction : :class:`compas.geometry.Vector` The direction of the ray. extents : list[float] The coordinate extents along local axes. @@ -83,9 +83,9 @@ def is_segment_contained_locally(point: Point, direction: Vector, segment_extent Parameters ---------- - point : :class:`Point` + point : :class:`compas.geometry.Point` The base point of the ray. - direction : :class:`Vector` + direction : :class:`compas.geometry.Vector` The direction of the ray. extents : list[float] The coordinate extents along local axes. @@ -114,9 +114,9 @@ def is_intersection_line_box(line: Line, box: Box) -> bool: Parameters ---------- - line : :class:`Line` + line : :class:`compas.geometry.Line` The line. - box : :class:`Box` + box : :class:`compas.geometry.Box` The box. Returns @@ -160,9 +160,9 @@ def is_intersection_line_aabb(line: Line, box: Box) -> bool: Parameters ---------- - line : :class:`Line` + line : :class:`compas.geometry.Line` The line. - box : :class:`Box` + box : :class:`compas.geometry.Box` The test box. Returns @@ -185,9 +185,9 @@ def is_intersection_ray_box(ray: Line, box: Box) -> bool: Parameters ---------- - ray : :class:`Line` + ray : :class:`compas.geometry.Line` The ray. - box : :class:`Box` + box : :class:`compas.geometry.Box` The box. Returns @@ -220,9 +220,9 @@ def is_intersection_ray_aabb(ray: Line, box: Box) -> bool: Parameters ---------- - ray : :class:`Line` + ray : :class:`compas.geometry.Line` The ray. - box : :class:`Box` + box : :class:`compas.geometry.Box` The box. Returns @@ -244,9 +244,9 @@ def is_intersection_segment_box(segment: Line, box: Box) -> bool: Parameters ---------- - segment : :class:`Line` + segment : :class:`compas.geometry.Line` The segment. - box : :class:`Box` + box : :class:`compas.geometry.Box` The box. Returns @@ -279,9 +279,9 @@ def is_intersection_segment_aabb(segment: Line, box: Box) -> bool: Parameters ---------- - segment : :class:`Line` + segment : :class:`compas.geometry.Line` The segment. - box : :class:`Box` + box : :class:`compas.geometry.Box` The box. Returns @@ -303,9 +303,9 @@ def is_intersection_box_box(a: Box, b: Box) -> bool: Parameters ---------- - a : :class:`Box` + a : :class:`compas.geometry.Box` The first box. - b : :class:`Box` + b : :class:`compas.geometry.Box` The second box. Returns @@ -421,9 +421,9 @@ def is_intersection_box_box(a: Box, b: Box) -> bool: # Parameters # ---------- -# a : :class:`Box` +# a : :class:`compas.geometry.Box` # The first box. -# b : :class:`Box` +# b : :class:`compas.geometry.Box` # The second box. # Returns @@ -508,14 +508,14 @@ def intersection_ray_triangle(line: Line, triangle: list[Point]) -> Point | None Parameters ---------- - line : :class:`Line` + line : :class:`compas.geometry.Line` The ray. - triangle : list[:class:`Point`] + triangle : list[:class:`compas.geometry.Point`] The triangle as a list of three points. Results ------- - :class:`Point` | None + :class:`compas.geometry.Point` | None The intersection point if one exists. Notes @@ -564,14 +564,14 @@ def intersections_line_box(line: Line, box: Box) -> tuple[int, list[Point]]: Parameters ---------- - line : :class:`Line` + line : :class:`compas.geometry.Line` The line. - box : :class:`Box` + box : :class:`compas.geometry.Box` An oriented box. Returns ------- - tuple[bool, list[:class:`Point`]] + tuple[bool, list[:class:`compas.geometry.Point`]] The number of intersections, and a list of intersection points. If the number of intersections is 0 (zero), the list is empty. If the number of intersections is 1 (one), the list contains two identical points. @@ -610,14 +610,14 @@ def intersections_line_aabb(line: Line, box: Box) -> tuple[int, list[Point]]: Parameters ---------- - line : :class:`Line` + line : :class:`compas.geometry.Line` The line. - box : :class:`Box` + box : :class:`compas.geometry.Box` An axis aligned box. Returns ------- - tuple[bool, list[:class:`Point`]] + tuple[bool, list[:class:`compas.geometry.Point`]] The number of intersections, and a list of intersection points. If the number of intersections is 0 (zero), the list is empty. If the number of intersections is 1 (one), the list contains two identical points. @@ -645,14 +645,14 @@ def intersections_ray_box(ray: Line, box: Box) -> tuple[int, list[Point]]: Parameters ---------- - ray : :class:`Line` + ray : :class:`compas.geometry.Line` The line. - box : :class:`Box` + box : :class:`compas.geometry.Box` An oriented box. Returns ------- - tuple[bool, list[:class:`Point`]] + tuple[bool, list[:class:`compas.geometry.Point`]] The number of intersections, and a list of intersection points. If the number of intersections is 0 (zero), the list is empty. If the number of intersections is 1 (one), the list contains two identical points. @@ -691,14 +691,14 @@ def intersections_ray_aabb(ray: Line, box: Box) -> tuple[int, list[Point]]: Parameters ---------- - ray : :class:`Line` + ray : :class:`compas.geometry.Line` The ray. - box : :class:`Box` + box : :class:`compas.geometry.Box` An axis aligned box. Returns ------- - tuple[bool, list[:class:`Point`]] + tuple[bool, list[:class:`compas.geometry.Point`]] The number of intersections, and a list of intersection points. If the number of intersections is 0 (zero), the list is empty. If the number of intersections is 1 (one), the list contains two identical points. diff --git a/src/compas_model/algorithms/minkowski2.py b/src/compas_model/algorithms/minkowski2.py index 02a8774e..8c2a45fa 100644 --- a/src/compas_model/algorithms/minkowski2.py +++ b/src/compas_model/algorithms/minkowski2.py @@ -3,55 +3,133 @@ from compas.geometry import Point from compas.geometry import Polygon from compas.geometry import Vector -from compas.geometry import centroid_points_xy -from compas.geometry import distance_point_line_sqrd_xy -from compas.geometry import dot_vectors_xy -from compas.itertools import pairwise +from compas.geometry import centroid_points +# ============================================================================= +# Helpers +# ============================================================================= -def cross(u: Vector, v: Vector) -> float: + +def det(u: Vector, v: Vector) -> float: + """Compute the determinant of the 2x2 matrix formed by the XY components of the vectors u and v. + + Parameters + ---------- + u : :class:`compas.geometry.Vector` + The first vector. + v : :class:`compas.geometry.Vector` + The second vector. + + Returns + ------- + float + + """ return u[0] * v[1] - u[1] * v[0] -def bottomleft(points) -> int: +def bottomleft(points: list[Point]) -> int: + """Identify the point with the smalles y coordinate, and the smallest x coordinate. + + Parameters + ---------- + points : list[:class:`compas.geometry.Point`] + A list of points. + + Returns + ------- + int + The index of the point. + + """ return sorted(enumerate(points), key=lambda x: (x[1][1], x[1][0]))[0][0] -def sort_ccw(points: list[Point]): - cx, cy, cz = centroid_points_xy(points) +def sort_ccw(points: list[Point]) -> list[Point]: + """Sort the points in CCW direction using the polar angle wrt their centroid. + + Parameters + ---------- + points : list[:class:`compas.geometry.Point`] + A list of points. + + Returns + ------- + list[:class:`compas.geometry.Point`] + The sorted points. + + """ + cx, cy, _ = centroid_points(points) indices, points = zip(*sorted(enumerate(points), key=lambda x: atan2(x[1][1] - cy, x[1][0] - cx))) return [points[i] for i in indices] -def sort_bottomleft(points: list[Point]) -> list[Point]: +def reorder_bottomleft(points: list[Point]) -> list[Point]: + """Reorder the points to start with the one on the bottom left. + + Parameters + ---------- + points : list[:class:`compas.geometry.Point`] + A list of points. + + Returns + ------- + list[:class:`compas.geometry.Point`] + The reordered points. + + """ index = bottomleft(points) return points[index:] + points[:index] -def support_point(A: list[Vector], direction: Vector) -> Vector: - return sorted(A, key=lambda point: dot_vectors_xy(point, direction))[-1] +# ============================================================================= +# Minkowski +# ============================================================================= + + +def minkowski_sum_xy(A: Polygon, B: Polygon) -> Polygon: + """Compute the Minkowski sum of two polygons. + Parameters + ---------- + A : :class:`compas.geometry.Polygon` + The first polygon. + B : :class:`compas.geometry.Polygon` + The second polygon. -def support(A: list[Vector], B: list[Vector], direction: Vector) -> Vector: - return support_point(A, direction) - support_point(B, direction * -1) + Returns + ------- + :class:`compas.geometry.Polygon` + The polygon representing the sum. + Warnings + -------- + Currently only convex polygons are supported. -def closest_edge_to_origin(abc) -> tuple[Point, Point]: - return sorted(pairwise(abc + abc[:1]), key=lambda line: distance_point_line_sqrd_xy([0, 0, 0], line))[0] + See Also + -------- + minkdiff2 + Notes + ----- + ... -def minksum2(A: Polygon, B: Polygon) -> Polygon: + References + ---------- + ... + + """ points = [] - A = sort_bottomleft(sort_ccw(A)) - B = sort_bottomleft(sort_ccw(B)) + A = reorder_bottomleft(sort_ccw(A)) + B = reorder_bottomleft(sort_ccw(B)) i, j = 0, 0 la, lb = len(A), len(B) while i < la or j < lb: points.append(A[i % la] + B[j % lb]) - d = cross(A[(i + 1) % la] - A[i % la], B[(j + 1) % lb] - B[j % lb]) + d = det(A[(i + 1) % la] - A[i % la], B[(j + 1) % lb] - B[j % lb]) if d >= 0: i += 1 if d <= 0: @@ -60,5 +138,36 @@ def minksum2(A: Polygon, B: Polygon) -> Polygon: return Polygon(points) -def minkdiff2(A: Polygon, B: Polygon) -> Polygon: - return minksum2(A, [Point(-x, -y, -z) for x, y, z in B]) +def minkowski_difference_xy(A: Polygon, B: Polygon) -> Polygon: + """Compute the Minkowski sum of polygon A and inverted polygon B. + + Parameters + ---------- + A : :class:`compas.geometry.Polygon` + The first polygon. + B : :class:`compas.geometry.Polygon` + The second polygon. + + Returns + ------- + :class:`compas.geometry.Polygon` + The polygon representing the difference as the sum of A and -B. + + Warnings + -------- + Currently only convex polygons are supported. + + See Also + -------- + minksum2 + + Notes + ----- + ... + + References + ---------- + ... + + """ + return minkowski_sum_xy(A, [Point(-x, -y, -z) for x, y, z in B]) From de6e58ce7856725684070c9edad134c4a8b5bd7f Mon Sep 17 00:00:00 2001 From: tomvanmele Date: Wed, 8 Jan 2025 17:19:57 +0100 Subject: [PATCH 05/62] add examples --- docs/_images/bvh_aabb_intersections.png | Bin 0 -> 1937577 bytes docs/_images/bvh_obb_intersections.png | Bin 0 -> 1847333 bytes docs/examples.rst | 6 +- docs/examples/algos/bvh_aabb_intersections.py | 56 ++++++++++++++++++ .../examples/algos/bvh_aabb_intersections.rst | 24 ++++++++ .../algos/bvh_aabb_intersections_dynamic.py | 56 ++++++++++++++++++ docs/examples/algos/bvh_obb_intersections.py | 56 ++++++++++++++++++ docs/examples/algos/bvh_obb_intersections.rst | 24 ++++++++ docs/examples/algos/collisions_2d.py | 26 ++++++++ docs/examples/algos/collisions_2d_dynamic.py | 42 +++++++++++++ 10 files changed, 288 insertions(+), 2 deletions(-) create mode 100644 docs/_images/bvh_aabb_intersections.png create mode 100644 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