Welcome to mirror list, hosted at ThFree Co, Russian Federation.

git.blender.org/blender.git - Unnamed repository; edit this file 'description' to name the repository.
summaryrefslogtreecommitdiff
diff options
context:
space:
mode:
Diffstat (limited to 'source/blender/blenlib/tests/BLI_mesh_intersect_test.cc')
-rw-r--r--source/blender/blenlib/tests/BLI_mesh_intersect_test.cc1074
1 files changed, 1074 insertions, 0 deletions
diff --git a/source/blender/blenlib/tests/BLI_mesh_intersect_test.cc b/source/blender/blenlib/tests/BLI_mesh_intersect_test.cc
new file mode 100644
index 00000000000..237905a1bf6
--- /dev/null
+++ b/source/blender/blenlib/tests/BLI_mesh_intersect_test.cc
@@ -0,0 +1,1074 @@
+/* Apache License, Version 2.0 */
+
+#include "testing/testing.h"
+
+#include <algorithm>
+#include <fstream>
+#include <iostream>
+
+#include "PIL_time.h"
+
+#include "BLI_array.hh"
+#include "BLI_math_mpq.hh"
+#include "BLI_mesh_intersect.hh"
+#include "BLI_mpq3.hh"
+#include "BLI_task.h"
+#include "BLI_vector.hh"
+
+#define DO_REGULAR_TESTS 1
+#define DO_PERF_TESTS 0
+
+#ifdef WITH_GMP
+namespace blender::meshintersect::tests {
+
+constexpr bool DO_OBJ = false;
+
+/* Build and hold an IMesh from a string spec. Also hold and own resources used by IMesh. */
+class IMeshBuilder {
+ public:
+ IMesh imesh;
+ IMeshArena arena;
+
+ /* "Edge orig" indices are an encoding of <input face#, position in face of start of edge>. */
+ static constexpr int MAX_FACE_LEN = 1000; /* Used for forming "orig edge" indices only. */
+
+ static int edge_index(int face_index, int facepos)
+ {
+ return face_index * MAX_FACE_LEN + facepos;
+ }
+
+ static std::pair<int, int> face_and_pos_for_edge_index(int e_index)
+ {
+ return std::pair<int, int>(e_index / MAX_FACE_LEN, e_index % MAX_FACE_LEN);
+ }
+
+ /*
+ * Spec should have form:
+ * #verts #faces
+ * mpq_class mpq_class mpq_clas [#verts lines]
+ * int int int ... [#faces lines; indices into verts for given face]
+ */
+ IMeshBuilder(const char *spec)
+ {
+ std::istringstream ss(spec);
+ std::string line;
+ getline(ss, line);
+ std::istringstream hdrss(line);
+ int nv, nf;
+ hdrss >> nv >> nf;
+ if (nv == 0 || nf == 0) {
+ return;
+ }
+ arena.reserve(nv, nf);
+ Vector<const Vert *> verts;
+ Vector<Face *> faces;
+ bool spec_ok = true;
+ int v_index = 0;
+ while (v_index < nv && spec_ok && getline(ss, line)) {
+ std::istringstream iss(line);
+ mpq_class p0;
+ mpq_class p1;
+ mpq_class p2;
+ iss >> p0 >> p1 >> p2;
+ spec_ok = !iss.fail();
+ if (spec_ok) {
+ verts.append(arena.add_or_find_vert(mpq3(p0, p1, p2), v_index));
+ }
+ ++v_index;
+ }
+ if (v_index != nv) {
+ spec_ok = false;
+ }
+ int f_index = 0;
+ while (f_index < nf && spec_ok && getline(ss, line)) {
+ std::istringstream fss(line);
+ Vector<const Vert *> face_verts;
+ Vector<int> edge_orig;
+ int fpos = 0;
+ while (spec_ok && fss >> v_index) {
+ if (v_index < 0 || v_index >= nv) {
+ spec_ok = false;
+ continue;
+ }
+ face_verts.append(verts[v_index]);
+ edge_orig.append(edge_index(f_index, fpos));
+ ++fpos;
+ }
+ if (fpos < 3) {
+ spec_ok = false;
+ }
+ if (spec_ok) {
+ Face *facep = arena.add_face(face_verts, f_index, edge_orig);
+ faces.append(facep);
+ }
+ ++f_index;
+ }
+ if (f_index != nf) {
+ spec_ok = false;
+ }
+ if (!spec_ok) {
+ std::cout << "Bad spec: " << spec;
+ return;
+ }
+ imesh = IMesh(faces);
+ }
+};
+
+/* Return a const Face * in mesh with verts equal to v0, v1, and v2, in
+ * some cyclic order; return nullptr if not found.
+ */
+static const Face *find_tri_with_verts(const IMesh &mesh,
+ const Vert *v0,
+ const Vert *v1,
+ const Vert *v2)
+{
+ Face f_arg({v0, v1, v2}, 0, NO_INDEX);
+ for (const Face *f : mesh.faces()) {
+ if (f->cyclic_equal(f_arg)) {
+ return f;
+ }
+ }
+ return nullptr;
+}
+
+/* How many instances of a triangle with v0, v1, v2 are in the mesh? */
+static int count_tris_with_verts(const IMesh &mesh, const Vert *v0, const Vert *v1, const Vert *v2)
+{
+ Face f_arg({v0, v1, v2}, 0, NO_INDEX);
+ int ans = 0;
+ for (const Face *f : mesh.faces()) {
+ if (f->cyclic_equal(f_arg)) {
+ ++ans;
+ }
+ }
+ return ans;
+}
+
+/* What is the starting position, if any, of the edge (v0, v1), in either order, in f? -1 if none.
+ */
+static int find_edge_pos_in_tri(const Vert *v0, const Vert *v1, const Face *f)
+{
+ for (int pos : f->index_range()) {
+ int nextpos = f->next_pos(pos);
+ if (((*f)[pos] == v0 && (*f)[nextpos] == v1) || ((*f)[pos] == v1 && (*f)[nextpos] == v0)) {
+ return static_cast<int>(pos);
+ }
+ }
+ return -1;
+}
+
+# if DO_REGULAR_TESTS
+TEST(mesh_intersect, Mesh)
+{
+ Vector<const Vert *> verts;
+ Vector<Face *> faces;
+ IMeshArena arena;
+
+ verts.append(arena.add_or_find_vert(mpq3(0, 0, 1), 0));
+ verts.append(arena.add_or_find_vert(mpq3(1, 0, 1), 1));
+ verts.append(arena.add_or_find_vert(mpq3(0.5, 1, 1), 2));
+ faces.append(arena.add_face(verts, 0, {10, 11, 12}));
+
+ IMesh mesh(faces);
+ const Face *f = mesh.face(0);
+ EXPECT_TRUE(f->is_tri());
+}
+
+TEST(mesh_intersect, OneTri)
+{
+ const char *spec = R"(3 1
+ 0 0 0
+ 1 0 0
+ 1/2 1 0
+ 0 1 2
+ )";
+
+ IMeshBuilder mb(spec);
+ IMesh imesh = trimesh_self_intersect(mb.imesh, &mb.arena);
+ imesh.populate_vert();
+ EXPECT_EQ(imesh.vert_size(), 3);
+ EXPECT_EQ(imesh.face_size(), 1);
+ const Face &f_in = *mb.imesh.face(0);
+ const Face &f_out = *imesh.face(0);
+ EXPECT_EQ(f_in.orig, f_out.orig);
+ for (int i = 0; i < 3; ++i) {
+ EXPECT_EQ(f_in[i], f_out[i]);
+ EXPECT_EQ(f_in.edge_orig[i], f_out.edge_orig[i]);
+ }
+}
+
+TEST(mesh_intersect, TriTri)
+{
+ const char *spec = R"(6 2
+ 0 0 0
+ 4 0 0
+ 0 4 0
+ 1 0 0
+ 2 0 0
+ 1 1 0
+ 0 1 2
+ 3 4 5
+ )";
+
+ /* Second triangle is smaller and congruent to first, resting on same base, partway along. */
+ IMeshBuilder mb(spec);
+ IMesh out = trimesh_self_intersect(mb.imesh, &mb.arena);
+ out.populate_vert();
+ EXPECT_EQ(out.vert_size(), 6);
+ EXPECT_EQ(out.face_size(), 6);
+ if (out.vert_size() == 6 && out.face_size() == 6) {
+ const Vert *v0 = mb.arena.find_vert(mpq3(0, 0, 0));
+ const Vert *v1 = mb.arena.find_vert(mpq3(4, 0, 0));
+ const Vert *v2 = mb.arena.find_vert(mpq3(0, 4, 0));
+ const Vert *v3 = mb.arena.find_vert(mpq3(1, 0, 0));
+ const Vert *v4 = mb.arena.find_vert(mpq3(2, 0, 0));
+ const Vert *v5 = mb.arena.find_vert(mpq3(1, 1, 0));
+ EXPECT_TRUE(v0 != nullptr && v1 != nullptr && v2 != nullptr);
+ EXPECT_TRUE(v3 != nullptr && v4 != nullptr && v5 != nullptr);
+ if (v0 != nullptr && v1 != nullptr && v2 != nullptr && v3 != nullptr && v4 != nullptr &&
+ v5 != nullptr) {
+ EXPECT_EQ(v0->orig, 0);
+ EXPECT_EQ(v1->orig, 1);
+ const Face *f0 = find_tri_with_verts(out, v4, v1, v5);
+ const Face *f1 = find_tri_with_verts(out, v3, v4, v5);
+ const Face *f2 = find_tri_with_verts(out, v0, v3, v5);
+ const Face *f3 = find_tri_with_verts(out, v0, v5, v2);
+ const Face *f4 = find_tri_with_verts(out, v5, v1, v2);
+ EXPECT_TRUE(f0 != nullptr && f1 != nullptr && f2 != nullptr && f3 != nullptr &&
+ f4 != nullptr);
+ /* For boolean to work right, there need to be two copies of the smaller triangle in the
+ * output. */
+ EXPECT_EQ(count_tris_with_verts(out, v3, v4, v5), 2);
+ if (f0 != nullptr && f1 != nullptr && f2 != nullptr && f3 != nullptr && f4 != nullptr) {
+ EXPECT_EQ(f0->orig, 0);
+ EXPECT_TRUE(f1->orig == 0 || f1->orig == 1);
+ EXPECT_EQ(f2->orig, 0);
+ EXPECT_EQ(f3->orig, 0);
+ EXPECT_EQ(f4->orig, 0);
+ }
+ int e03 = find_edge_pos_in_tri(v0, v3, f2);
+ int e34 = find_edge_pos_in_tri(v3, v4, f1);
+ int e45 = find_edge_pos_in_tri(v4, v5, f1);
+ int e05 = find_edge_pos_in_tri(v0, v5, f3);
+ int e15 = find_edge_pos_in_tri(v1, v5, f0);
+ EXPECT_TRUE(e03 != -1 && e34 != -1 && e45 != -1 && e05 != -1 && e15 != -1);
+ if (e03 != -1 && e34 != -1 && e45 != -1 && e05 != -1 && e15 != -1) {
+ EXPECT_EQ(f2->edge_orig[e03], 0);
+ EXPECT_TRUE(f1->edge_orig[e34] == 0 ||
+ f1->edge_orig[e34] == 1 * IMeshBuilder::MAX_FACE_LEN);
+ EXPECT_EQ(f1->edge_orig[e45], 1 * IMeshBuilder::MAX_FACE_LEN + 1);
+ EXPECT_EQ(f3->edge_orig[e05], NO_INDEX);
+ EXPECT_EQ(f0->edge_orig[e15], NO_INDEX);
+ }
+ }
+ }
+ if (DO_OBJ) {
+ write_obj_mesh(out, "tritri");
+ }
+}
+
+TEST(mesh_intersect, TriTriReversed)
+{
+ /* Like TriTri but with triangles of opposite orientation.
+ * This matters because projection to 2D will now need reversed triangles. */
+ const char *spec = R"(6 2
+ 0 0 0
+ 4 0 0
+ 0 4 0
+ 1 0 0
+ 2 0 0
+ 1 1 0
+ 0 2 1
+ 3 5 4
+ )";
+
+ IMeshBuilder mb(spec);
+ IMesh out = trimesh_self_intersect(mb.imesh, &mb.arena);
+ out.populate_vert();
+ EXPECT_EQ(out.vert_size(), 6);
+ EXPECT_EQ(out.face_size(), 6);
+ if (out.vert_size() == 6 && out.face_size() == 6) {
+ const Vert *v0 = mb.arena.find_vert(mpq3(0, 0, 0));
+ const Vert *v1 = mb.arena.find_vert(mpq3(4, 0, 0));
+ const Vert *v2 = mb.arena.find_vert(mpq3(0, 4, 0));
+ const Vert *v3 = mb.arena.find_vert(mpq3(1, 0, 0));
+ const Vert *v4 = mb.arena.find_vert(mpq3(2, 0, 0));
+ const Vert *v5 = mb.arena.find_vert(mpq3(1, 1, 0));
+ EXPECT_TRUE(v0 != nullptr && v1 != nullptr && v2 != nullptr);
+ EXPECT_TRUE(v3 != nullptr && v4 != nullptr && v5 != nullptr);
+ if (v0 != nullptr && v1 != nullptr && v2 != nullptr && v3 != nullptr && v4 != nullptr &&
+ v5 != nullptr) {
+ EXPECT_EQ(v0->orig, 0);
+ EXPECT_EQ(v1->orig, 1);
+ const Face *f0 = find_tri_with_verts(out, v4, v5, v1);
+ const Face *f1 = find_tri_with_verts(out, v3, v5, v4);
+ const Face *f2 = find_tri_with_verts(out, v0, v5, v3);
+ const Face *f3 = find_tri_with_verts(out, v0, v2, v5);
+ const Face *f4 = find_tri_with_verts(out, v5, v2, v1);
+ EXPECT_TRUE(f0 != nullptr && f1 != nullptr && f2 != nullptr && f3 != nullptr &&
+ f4 != nullptr);
+ /* For boolean to work right, there need to be two copies of the smaller triangle in the
+ * output. */
+ EXPECT_EQ(count_tris_with_verts(out, v3, v5, v4), 2);
+ if (f0 != nullptr && f1 != nullptr && f2 != nullptr && f3 != nullptr && f4 != nullptr) {
+ EXPECT_EQ(f0->orig, 0);
+ EXPECT_TRUE(f1->orig == 0 || f1->orig == 1);
+ EXPECT_EQ(f2->orig, 0);
+ EXPECT_EQ(f3->orig, 0);
+ EXPECT_EQ(f4->orig, 0);
+ }
+ int e03 = find_edge_pos_in_tri(v0, v3, f2);
+ int e34 = find_edge_pos_in_tri(v3, v4, f1);
+ int e45 = find_edge_pos_in_tri(v4, v5, f1);
+ int e05 = find_edge_pos_in_tri(v0, v5, f3);
+ int e15 = find_edge_pos_in_tri(v1, v5, f0);
+ EXPECT_TRUE(e03 != -1 && e34 != -1 && e45 != -1 && e05 != -1 && e15 != -1);
+ if (e03 != -1 && e34 != -1 && e45 != -1 && e05 != -1 && e15 != -1) {
+ EXPECT_EQ(f2->edge_orig[e03], 2);
+ EXPECT_TRUE(f1->edge_orig[e34] == 2 ||
+ f1->edge_orig[e34] == 1 * IMeshBuilder::MAX_FACE_LEN + 2);
+ EXPECT_EQ(f1->edge_orig[e45], 1 * IMeshBuilder::MAX_FACE_LEN + 1);
+ EXPECT_EQ(f3->edge_orig[e05], NO_INDEX);
+ EXPECT_EQ(f0->edge_orig[e15], NO_INDEX);
+ }
+ }
+ }
+ if (DO_OBJ) {
+ write_obj_mesh(out, "tritrirev");
+ }
+}
+
+TEST(mesh_intersect, TwoTris)
+{
+ Array<mpq3> verts = {
+ mpq3(1, 1, 1), mpq3(1, 4, 1), mpq3(1, 1, 4), /* T0 */
+ mpq3(2, 2, 2), mpq3(-3, 3, 2), mpq3(-4, 1, 3), /* T1 */
+ mpq3(2, 2, 2), mpq3(-3, 3, 2), mpq3(0, 3, 5), /* T2 */
+ mpq3(2, 2, 2), mpq3(-3, 3, 2), mpq3(0, 3, 3), /* T3 */
+ mpq3(1, 0, 0), mpq3(2, 4, 1), mpq3(-3, 2, 2), /* T4 */
+ mpq3(0, 2, 1), mpq3(-2, 3, 3), mpq3(0, 1, 3), /* T5 */
+ mpq3(1.5, 2, 0.5), mpq3(-2, 3, 3), mpq3(0, 1, 3), /* T6 */
+ mpq3(1, 0, 0), mpq3(-2, 3, 3), mpq3(0, 1, 3), /* T7 */
+ mpq3(1, 0, 0), mpq3(-3, 2, 2), mpq3(0, 1, 3), /* T8 */
+ mpq3(1, 0, 0), mpq3(-1, 1, 1), mpq3(0, 1, 3), /* T9 */
+ mpq3(3, -1, -1), mpq3(-1, 1, 1), mpq3(0, 1, 3), /* T10 */
+ mpq3(0, 0.5, 0.5), mpq3(-1, 1, 1), mpq3(0, 1, 3), /* T11 */
+ mpq3(2, 1, 1), mpq3(3, 5, 2), mpq3(-2, 3, 3), /* T12 */
+ mpq3(2, 1, 1), mpq3(3, 5, 2), mpq3(-2, 3, 4), /* T13 */
+ mpq3(2, 2, 5), mpq3(-3, 3, 5), mpq3(0, 3, 10), /* T14 */
+ mpq3(0, 0, 0), mpq3(4, 4, 0), mpq3(-4, 2, 4), /* T15 */
+ mpq3(0, 1.5, 1), mpq3(1, 2.5, 1), mpq3(-1, 2, 2), /* T16 */
+ mpq3(3, 0, -2), mpq3(7, 4, -2), mpq3(-1, 2, 2), /* T17 */
+ mpq3(3, 0, -2), mpq3(3, 6, 2), mpq3(-1, 2, 2), /* T18 */
+ mpq3(7, 4, -2), mpq3(3, 6, 2), mpq3(-1, 2, 2), /* T19 */
+ mpq3(5, 2, -2), mpq3(1, 4, 2), mpq3(-3, 0, 2), /* T20 */
+ mpq3(2, 2, 0), mpq3(1, 4, 2), mpq3(-3, 0, 2), /* T21 */
+ mpq3(0, 0, 0), mpq3(4, 4, 0), mpq3(-3, 0, 2), /* T22 */
+ mpq3(0, 0, 0), mpq3(4, 4, 0), mpq3(-1, 2, 2), /* T23 */
+ mpq3(2, 2, 0), mpq3(4, 4, 0), mpq3(0, 3, 2), /* T24 */
+ mpq3(0, 0, 0), mpq3(-4, 2, 4), mpq3(4, 4, 0), /* T25 */
+ };
+ struct two_tri_test_spec {
+ int t0;
+ int t1;
+ int nv_out;
+ int nf_out;
+ };
+ Array<two_tri_test_spec> test_tris = Span<two_tri_test_spec>{
+ {0, 1, 8, 8}, /* 0: T1 pierces T0 inside at (1,11/6,13/6) and (1,11/5,2). */
+ {0, 2, 8, 8}, /* 1: T2 intersects T0 inside (1,11/5,2) and edge (1,7/3,8/3). */
+ {0, 3, 8, 7}, /* 2: T3 intersects T0 (1,11/5,2) and edge-edge (1,5/2,5/2). */
+ {4, 5, 6, 4}, /* 3: T5 touches T4 inside (0,2,1). */
+ {4, 6, 6, 3}, /* 4: T6 touches T4 on edge (3/2,2/1/2). */
+ {4, 7, 5, 2}, /* 5: T7 touches T4 on vert (1,0,0). */
+ {4, 8, 4, 2}, /* 6: T8 shared edge with T4 (1,0,0)(-3,2,2). */
+ {4, 9, 5, 3}, /* 7: T9 edge (1,0,0)(-1,1,1) is subset of T4 edge. */
+ {4, 10, 6, 4}, /* 8: T10 edge overlaps T4 edge with seg (-1,1,0)(1,0,0). */
+ {4, 11, 6, 4}, /* 9: T11 edge (-1,1,1)(0,1/2,1/2) inside T4 edge. */
+ {4, 12, 6, 2}, /* 10: parallel planes, not intersecting. */
+ {4, 13, 6, 2}, /* 11: non-parallel planes, not intersecting, all one side. */
+ {0, 14, 6, 2}, /* 12: non-paralel planes, not intersecting, alternate sides. */
+ /* Following are all coplanar cases. */
+ {15, 16, 6, 8}, /* 13: T16 inside T15. Note: dup'd tri is expected. */
+ {15, 17, 8, 8}, /* 14: T17 intersects one edge of T15 at (1,1,0)(3,3,0). */
+ {15, 18, 10, 12}, /* 15: T18 intersects T15 at (1,1,0)(3,3,0)(3,15/4,1/2)(0,3,2). */
+ {15, 19, 8, 10}, /* 16: T19 intersects T15 at (3,3,0)(0,3,2). */
+ {15, 20, 12, 14}, /* 17: T20 intersects T15 on three edges, six intersects. */
+ {15, 21, 10, 11}, /* 18: T21 intersects T15 on three edges, touching one. */
+ {15, 22, 5, 4}, /* 19: T22 shares edge T15, one other outside. */
+ {15, 23, 4, 4}, /* 20: T23 shares edge T15, one other outside. */
+ {15, 24, 5, 4}, /* 21: T24 shares two edges with T15. */
+ {15, 25, 3, 2}, /* 22: T25 same T15, reverse orientation. */
+ };
+ static int perms[6][3] = {{0, 1, 2}, {0, 2, 1}, {1, 0, 2}, {1, 2, 0}, {2, 0, 1}, {2, 1, 0}};
+
+ const int do_only_test = -1; /* Make this negative to do all tests. */
+ for (int test = 0; test < test_tris.size(); ++test) {
+ if (do_only_test >= 0 && test != do_only_test) {
+ continue;
+ }
+ int tri1_index = test_tris[test].t0;
+ int tri2_index = test_tris[test].t1;
+ int co1_i = 3 * tri1_index;
+ int co2_i = 3 * tri2_index;
+
+ const bool verbose = false;
+
+ if (verbose) {
+ std::cout << "\nTest " << test << ": T" << tri1_index << " intersect T" << tri2_index
+ << "\n";
+ }
+
+ const bool do_all_perms = true;
+ const int perm_limit = do_all_perms ? 3 : 1;
+
+ for (int i = 0; i < perm_limit; ++i) {
+ for (int j = 0; j < perm_limit; ++j) {
+ if (do_all_perms && verbose) {
+ std::cout << "\nperms " << i << " " << j << "\n";
+ }
+ IMeshArena arena;
+ arena.reserve(2 * 3, 2);
+ Array<const Vert *> f0_verts(3);
+ Array<const Vert *> f1_verts(3);
+ for (int k = 0; k < 3; ++k) {
+ f0_verts[k] = arena.add_or_find_vert(verts[co1_i + perms[i][k]], k);
+ }
+ for (int k = 0; k < 3; ++k) {
+ f1_verts[k] = arena.add_or_find_vert(verts[co2_i + perms[i][k]], k + 3);
+ }
+ Face *f0 = arena.add_face(f0_verts, 0, {0, 1, 2});
+ Face *f1 = arena.add_face(f1_verts, 1, {3, 4, 5});
+ IMesh in_mesh({f0, f1});
+ IMesh out_mesh = trimesh_self_intersect(in_mesh, &arena);
+ out_mesh.populate_vert();
+ EXPECT_EQ(out_mesh.vert_size(), test_tris[test].nv_out);
+ EXPECT_EQ(out_mesh.face_size(), test_tris[test].nf_out);
+ bool constexpr dump_input = true;
+ if (DO_OBJ && i == 0 && j == 0) {
+ if (dump_input) {
+ std::string name = "test_tt_in" + std::to_string(test);
+ write_obj_mesh(in_mesh, name);
+ }
+ std::string name = "test_tt" + std::to_string(test);
+ write_obj_mesh(out_mesh, name);
+ }
+ }
+ }
+ }
+}
+
+TEST(mesh_intersect, OverlapCluster)
+{
+ /* Chain of 5 overlapping coplanar tris.
+ * Ordered so that clustering will make two separate clusters
+ * that it will have to merge into one cluster with everything. */
+ const char *spec = R"(15 5
+ 0 0 0
+ 1 0 0
+ 1/2 1 0
+ 1/2 0 0
+ 3/2 0 0
+ 1 1 0
+ 1 0 0
+ 2 0 0
+ 3/2 1 0
+ 3/2 0 0
+ 5/2 0 0
+ 2 1 0
+ 2 0 0
+ 3 0 0
+ 5/2 1 0
+ 0 1 2
+ 3 4 5
+ 9 10 11
+ 12 13 14
+ 6 7 8
+ )";
+
+ IMeshBuilder mb(spec);
+ IMesh out = trimesh_self_intersect(mb.imesh, &mb.arena);
+ out.populate_vert();
+ EXPECT_EQ(out.vert_size(), 16);
+ EXPECT_EQ(out.face_size(), 18);
+ if (DO_OBJ) {
+ write_obj_mesh(out, "overlapcluster");
+ }
+}
+
+TEST(mesh_intersect, TriCornerCross1)
+{
+ /* A corner formed by 3 tris, and a 4th crossing two of them. */
+ const char *spec = R"(12 4
+ 0 0 0
+ 1 0 0
+ 0 0 1
+ 0 0 0
+ 0 1 0
+ 0 0 1
+ 0 0 0
+ 1 0 0
+ 0 1 0
+ 1 1 1/2
+ 1 -2 1/2
+ -2 1 1/2
+ 0 1 2
+ 3 4 5
+ 6 7 8
+ 9 10 11
+ )";
+
+ IMeshBuilder mb(spec);
+ IMesh out = trimesh_self_intersect(mb.imesh, &mb.arena);
+ out.populate_vert();
+ EXPECT_EQ(out.vert_size(), 10);
+ EXPECT_EQ(out.face_size(), 14);
+ if (DO_OBJ) {
+ write_obj_mesh(out, "test_tc_1");
+ }
+}
+
+TEST(mesh_intersect, TriCornerCross2)
+{
+ /* A corner formed by 3 tris, and a 4th coplanar with base. */
+ const char *spec = R"(12 4
+ 0 0 0
+ 1 0 0
+ 0 0 1
+ 0 0 0
+ 0 1 0
+ 0 0 1
+ 0 0 0
+ 1 0 0
+ 0 1 0
+ 1 1 0
+ 1 -2 0
+ -2 1 0
+ 0 1 2
+ 3 4 5
+ 6 7 8
+ 9 10 11
+ )";
+
+ IMeshBuilder mb(spec);
+ IMesh out = trimesh_self_intersect(mb.imesh, &mb.arena);
+ out.populate_vert();
+ EXPECT_EQ(out.vert_size(), 7);
+ EXPECT_EQ(out.face_size(), 8);
+ if (DO_OBJ) {
+ write_obj_mesh(out, "test_tc_2");
+ }
+}
+
+TEST(mesh_intersect, TriCornerCross3)
+{
+ /* A corner formed by 3 tris, and a 4th crossing all 3. */
+ const char *spec = R"(12 4
+ 0 0 0
+ 1 0 0
+ 0 0 1
+ 0 0 0
+ 0 1 0
+ 0 0 1
+ 0 0 0
+ 1 0 0
+ 0 1 0
+ 3/2 -1/2 -1/4
+ -1/2 3/2 -1/4
+ -1/2 -1/2 3/4
+ 0 1 2
+ 3 4 5
+ 6 7 8
+ 9 10 11
+ )";
+
+ IMeshBuilder mb(spec);
+ IMesh out = trimesh_self_intersect(mb.imesh, &mb.arena);
+ out.populate_vert();
+ EXPECT_EQ(out.vert_size(), 10);
+ EXPECT_EQ(out.face_size(), 16);
+ if (DO_OBJ) {
+ write_obj_mesh(out, "test_tc_3");
+ }
+}
+
+TEST(mesh_intersect, TetTet)
+{
+ const char *spec = R"(8 8
+ 0 0 0
+ 2 0 0
+ 1 2 0
+ 1 1 2
+ 0 0 1
+ 2 0 1
+ 1 2 1
+ 1 1 3
+ 0 1 2
+ 0 3 1
+ 1 3 2
+ 2 3 0
+ 4 5 6
+ 4 7 5
+ 5 7 6
+ 6 7 4
+ )";
+
+ IMeshBuilder mb(spec);
+ IMesh out = trimesh_self_intersect(mb.imesh, &mb.arena);
+ out.populate_vert();
+ EXPECT_EQ(out.vert_size(), 11);
+ EXPECT_EQ(out.face_size(), 20);
+ /* Expect there to be a triangle with these three verts, oriented this way, with original face 1.
+ */
+ const Vert *v1 = mb.arena.find_vert(mpq3(2, 0, 0));
+ const Vert *v8 = mb.arena.find_vert(mpq3(0.5, 0.5, 1));
+ const Vert *v9 = mb.arena.find_vert(mpq3(1.5, 0.5, 1));
+ EXPECT_TRUE(v1 != nullptr && v8 != nullptr && v9 != nullptr);
+ const Face *f = mb.arena.find_face({v1, v8, v9});
+ EXPECT_NE(f, nullptr);
+ EXPECT_EQ(f->orig, 1);
+ int v1pos = f->vert[0] == v1 ? 0 : (f->vert[1] == v1 ? 1 : 2);
+ EXPECT_EQ(f->edge_orig[v1pos], NO_INDEX);
+ EXPECT_EQ(f->edge_orig[(v1pos + 1) % 3], NO_INDEX);
+ EXPECT_EQ(f->edge_orig[(v1pos + 2) % 3], 1001);
+ EXPECT_EQ(f->is_intersect[v1pos], false);
+ EXPECT_EQ(f->is_intersect[(v1pos + 1) % 3], true);
+ EXPECT_EQ(f->is_intersect[(v1pos + 2) % 3], false);
+ if (DO_OBJ) {
+ write_obj_mesh(out, "test_tc_3");
+ }
+}
+
+TEST(mesh_intersect, CubeCubeStep)
+{
+ const char *spec = R"(16 24
+ 0 -1 0
+ 0 -1 2
+ 0 1 0
+ 0 1 2
+ 2 -1 0
+ 2 -1 2
+ 2 1 0
+ 2 1 2
+ -1 -1 -1
+ -1 -1 1
+ -1 1 -1
+ -1 1 1
+ 1 -1 -1
+ 1 -1 1
+ 1 1 -1
+ 1 1 1
+ 0 1 3
+ 0 3 2
+ 2 3 7
+ 2 7 6
+ 6 7 5
+ 6 5 4
+ 4 5 1
+ 4 1 0
+ 2 6 4
+ 2 4 0
+ 7 3 1
+ 7 1 5
+ 8 9 11
+ 8 11 10
+ 10 11 15
+ 10 15 14
+ 14 15 13
+ 14 13 12
+ 12 13 9
+ 12 9 8
+ 10 14 12
+ 10 12 8
+ 15 11 9
+ 15 9 13
+ )";
+
+ IMeshBuilder mb(spec);
+ IMesh out = trimesh_self_intersect(mb.imesh, &mb.arena);
+ out.populate_vert();
+ EXPECT_EQ(out.vert_size(), 22);
+ EXPECT_EQ(out.face_size(), 56);
+ if (DO_OBJ) {
+ write_obj_mesh(out, "test_cubecubestep");
+ }
+
+ IMeshBuilder mb2(spec);
+ IMesh out2 = trimesh_nary_intersect(
+ mb2.imesh, 2, [](int t) { return t < 12 ? 0 : 1; }, false, &mb2.arena);
+ out2.populate_vert();
+ EXPECT_EQ(out2.vert_size(), 22);
+ EXPECT_EQ(out2.face_size(), 56);
+ if (DO_OBJ) {
+ write_obj_mesh(out2, "test_cubecubestep_nary");
+ }
+}
+# endif
+
+# if DO_PERF_TESTS
+
+static void get_sphere_params(
+ int nrings, int nsegs, bool triangulate, int *r_num_verts, int *r_num_faces)
+{
+ *r_num_verts = nsegs * (nrings - 1) + 2;
+ if (triangulate) {
+ *r_num_faces = 2 * nsegs + 2 * nsegs * (nrings - 2);
+ }
+ else {
+ *r_num_faces = nsegs * nrings;
+ }
+}
+
+static void fill_sphere_data(int nrings,
+ int nsegs,
+ const double3 &center,
+ double radius,
+ bool triangulate,
+ MutableSpan<Face *> face,
+ int vid_start,
+ int fid_start,
+ IMeshArena *arena)
+{
+ int num_verts;
+ int num_faces;
+ get_sphere_params(nrings, nsegs, triangulate, &num_verts, &num_faces);
+ BLI_assert(num_faces == face.size());
+ Array<const Vert *> vert(num_verts);
+ const bool nrings_even = (nrings % 2 == 0);
+ int half_nrings = nrings / 2;
+ const bool nsegs_even = (nsegs % 2) == 0;
+ const bool nsegs_four_divisible = (nsegs % 4 == 0);
+ int half_nsegs = nrings;
+ int quarter_nsegs = half_nsegs / 2;
+ double delta_phi = 2 * M_PI / nsegs;
+ double delta_theta = M_PI / nrings;
+ int fid = fid_start;
+ int vid = vid_start;
+ auto vert_index_fn = [nrings, num_verts](int seg, int ring) {
+ if (ring == 0) { /* Top vert. */
+ return num_verts - 2;
+ }
+ if (ring == nrings) { /* Bottom vert. */
+ return num_verts - 1;
+ }
+ return seg * (nrings - 1) + (ring - 1);
+ };
+ auto face_index_fn = [nrings](int seg, int ring) { return seg * nrings + ring; };
+ auto tri_index_fn = [nrings, nsegs](int seg, int ring, int tri) {
+ if (ring == 0) {
+ return seg;
+ }
+ if (ring < nrings - 1) {
+ return nsegs + 2 * (ring - 1) * nsegs + 2 * seg + tri;
+ }
+ return nsegs + 2 * (nrings - 2) * nsegs + seg;
+ };
+ Array<int> eid = {0, 0, 0, 0}; /* Don't care about edge ids. */
+ /*
+ * (x, y , z) is given from inclination theta and azimuth phi,
+ * where 0 <= theta <= pi; 0 <= phi <= 2pi.
+ * x = radius * sin(theta) cos(phi)
+ * y = radius * sin(theta) sin(phi)
+ * z = radius * cos(theta)
+ */
+ for (int s = 0; s < nsegs; ++s) {
+ double phi = s * delta_phi;
+ double sin_phi;
+ double cos_phi;
+ /* Avoid use of trig functions for pi/2 divisible angles. */
+ if (s == 0) {
+ /* phi = 0. */
+ sin_phi = 0.0;
+ cos_phi = 1.0;
+ }
+ else if (nsegs_even && s == half_nsegs) {
+ /* phi = pi. */
+ sin_phi = 0.0;
+ cos_phi = -1.0;
+ }
+ else if (nsegs_four_divisible && s == quarter_nsegs) {
+ /* phi = pi/2. */
+ sin_phi = 1.0;
+ cos_phi = 0.0;
+ }
+ else if (nsegs_four_divisible && s == 3 * quarter_nsegs) {
+ /* phi = 3pi/2. */
+ sin_phi = -1.0;
+ cos_phi = 0.0;
+ }
+ else {
+ sin_phi = sin(phi);
+ cos_phi = cos(phi);
+ }
+ for (int r = 1; r < nrings; ++r) {
+ double theta = r * delta_theta;
+ double r_sin_theta;
+ double r_cos_theta;
+ if (nrings_even && r == half_nrings) {
+ /* theta = pi/2. */
+ r_sin_theta = radius;
+ r_cos_theta = 0.0;
+ }
+ else {
+ r_sin_theta = radius * sin(theta);
+ r_cos_theta = radius * cos(theta);
+ }
+ double x = r_sin_theta * cos_phi + center[0];
+ double y = r_sin_theta * sin_phi + center[1];
+ double z = r_cos_theta + center[2];
+ const Vert *v = arena->add_or_find_vert(mpq3(x, y, z), vid++);
+ vert[vert_index_fn(s, r)] = v;
+ }
+ }
+ const Vert *vtop = arena->add_or_find_vert(mpq3(center[0], center[1], center[2] + radius),
+ vid++);
+ const Vert *vbot = arena->add_or_find_vert(mpq3(center[0], center[1], center[2] - radius),
+ vid++);
+ vert[vert_index_fn(0, 0)] = vtop;
+ vert[vert_index_fn(0, nrings)] = vbot;
+ for (int s = 0; s < nsegs; ++s) {
+ int snext = (s + 1) % nsegs;
+ for (int r = 0; r < nrings; ++r) {
+ int rnext = r + 1;
+ int i0 = vert_index_fn(s, r);
+ int i1 = vert_index_fn(s, rnext);
+ int i2 = vert_index_fn(snext, rnext);
+ int i3 = vert_index_fn(snext, r);
+ Face *f;
+ Face *f2 = nullptr;
+ if (r == 0) {
+ f = arena->add_face({vert[i0], vert[i1], vert[i2]}, fid++, eid);
+ }
+ else if (r == nrings - 1) {
+ f = arena->add_face({vert[i0], vert[i1], vert[i3]}, fid++, eid);
+ }
+ else {
+ if (triangulate) {
+ f = arena->add_face({vert[i0], vert[i1], vert[i2]}, fid++, eid);
+ f2 = arena->add_face({vert[i2], vert[i3], vert[i0]}, fid++, eid);
+ }
+ else {
+ f = arena->add_face({vert[i0], vert[i1], vert[i2], vert[i3]}, fid++, eid);
+ }
+ }
+ if (triangulate) {
+ int f_index = tri_index_fn(s, r, 0);
+ face[f_index] = f;
+ if (r != 0 && r != nrings - 1) {
+ int f_index2 = tri_index_fn(s, r, 1);
+ face[f_index2] = f2;
+ }
+ }
+ else {
+ int f_index = face_index_fn(s, r);
+ face[f_index] = f;
+ }
+ }
+ }
+}
+
+static void spheresphere_test(int nrings, double y_offset, bool use_self)
+{
+ /* Make two uvspheres with nrings rings ad 2*nrings segments. */
+ if (nrings < 2) {
+ return;
+ }
+ BLI_task_scheduler_init(); /* Without this, no parallelism. */
+ double time_start = PIL_check_seconds_timer();
+ IMeshArena arena;
+ int nsegs = 2 * nrings;
+ int num_sphere_verts;
+ int num_sphere_tris;
+ get_sphere_params(nrings, nsegs, true, &num_sphere_verts, &num_sphere_tris);
+ Array<Face *> tris(2 * num_sphere_tris);
+ arena.reserve(2 * num_sphere_verts, 2 * num_sphere_tris);
+ double3 center1(0.0, 0.0, 0.0);
+ fill_sphere_data(nrings,
+ nsegs,
+ center1,
+ 1.0,
+ true,
+ MutableSpan<Face *>(tris.begin(), num_sphere_tris),
+ 0,
+ 0,
+ &arena);
+ double3 center2(0.0, y_offset, 0.0);
+ fill_sphere_data(nrings,
+ nsegs,
+ center2,
+ 1.0,
+ true,
+ MutableSpan<Face *>(tris.begin() + num_sphere_tris, num_sphere_tris),
+ num_sphere_verts,
+ num_sphere_verts,
+ &arena);
+ IMesh mesh(tris);
+ double time_create = PIL_check_seconds_timer();
+ // write_obj_mesh(mesh, "spheresphere_in");
+ IMesh out;
+ if (use_self) {
+ out = trimesh_self_intersect(mesh, &arena);
+ }
+ else {
+ int nf = num_sphere_tris;
+ out = trimesh_nary_intersect(
+ mesh, 2, [nf](int t) { return t < nf ? 0 : 1; }, false, &arena);
+ }
+ double time_intersect = PIL_check_seconds_timer();
+ std::cout << "Create time: " << time_create - time_start << "\n";
+ std::cout << "Intersect time: " << time_intersect - time_create << "\n";
+ std::cout << "Total time: " << time_intersect - time_start << "\n";
+ if (DO_OBJ) {
+ write_obj_mesh(out, "spheresphere");
+ }
+ BLI_task_scheduler_exit();
+}
+
+static void get_grid_params(
+ int x_subdiv, int y_subdiv, bool triangulate, int *r_num_verts, int *r_num_faces)
+{
+ *r_num_verts = x_subdiv * y_subdiv;
+ if (triangulate) {
+ *r_num_faces = 2 * (x_subdiv - 1) * (y_subdiv - 1);
+ }
+ else {
+ *r_num_faces = (x_subdiv - 1) * (y_subdiv - 1);
+ }
+}
+
+static void fill_grid_data(int x_subdiv,
+ int y_subdiv,
+ bool triangulate,
+ double size,
+ const double3 &center,
+ MutableSpan<Face *> face,
+ int vid_start,
+ int fid_start,
+ IMeshArena *arena)
+{
+ if (x_subdiv <= 1 || y_subdiv <= 1) {
+ return;
+ }
+ int num_verts;
+ int num_faces;
+ get_grid_params(x_subdiv, y_subdiv, triangulate, &num_verts, &num_faces);
+ BLI_assert(face.size() == num_faces);
+ Array<const Vert *> vert(num_verts);
+ auto vert_index_fn = [x_subdiv](int ix, int iy) { return iy * x_subdiv + ix; };
+ auto face_index_fn = [x_subdiv](int ix, int iy) { return iy * (x_subdiv - 1) + ix; };
+ auto tri_index_fn = [x_subdiv](int ix, int iy, int tri) {
+ return 2 * iy * (x_subdiv - 1) + 2 * ix + tri;
+ };
+ Array<int> eid = {0, 0, 0, 0}; /* Don't care about edge ids. */
+ double r = size / 2.0;
+ double delta_x = size / (x_subdiv - 1);
+ double delta_y = size / (y_subdiv - 1);
+ int vid = vid_start;
+ for (int iy = 0; iy < y_subdiv; ++iy) {
+ for (int ix = 0; ix < x_subdiv; ++ix) {
+ double x = center[0] - r + ix * delta_x;
+ double y = center[1] - r + iy * delta_y;
+ double z = center[2];
+ const Vert *v = arena->add_or_find_vert(mpq3(x, y, z), vid++);
+ vert[vert_index_fn(ix, iy)] = v;
+ }
+ }
+ int fid = fid_start;
+ for (int iy = 0; iy < y_subdiv - 1; ++iy) {
+ for (int ix = 0; ix < x_subdiv - 1; ++ix) {
+ int i0 = vert_index_fn(ix, iy);
+ int i1 = vert_index_fn(ix, iy + 1);
+ int i2 = vert_index_fn(ix + 1, iy + 1);
+ int i3 = vert_index_fn(ix + 1, iy);
+ if (triangulate) {
+ Face *f = arena->add_face({vert[i0], vert[i1], vert[i2]}, fid++, eid);
+ Face *f2 = arena->add_face({vert[i2], vert[i3], vert[i0]}, fid++, eid);
+ face[tri_index_fn(ix, iy, 0)] = f;
+ face[tri_index_fn(ix, iy, 1)] = f2;
+ }
+ else {
+ Face *f = arena->add_face({vert[i0], vert[i1], vert[i2], vert[i3]}, fid++, eid);
+ face[face_index_fn(ix, iy)] = f;
+ }
+ }
+ }
+}
+
+static void spheregrid_test(int nrings, int grid_level, double z_offset, bool use_self)
+{
+ /* Make a uvsphere and a grid.
+ * The sphere is radius 1, has nrings rings and 2 * nrings segs,
+ * and is centered at (0,0,z_offset).
+ * The plane is 4x4, has 2**grid_level subdivisions x and y,
+ * and is centered at the origin. */
+ if (nrings < 2 || grid_level < 1) {
+ return;
+ }
+ BLI_task_scheduler_init(); /* Without this, no parallelism. */
+ double time_start = PIL_check_seconds_timer();
+ IMeshArena arena;
+ int num_sphere_verts;
+ int num_sphere_tris;
+ int nsegs = 2 * nrings;
+ int num_grid_verts;
+ int num_grid_tris;
+ int subdivs = 1 << grid_level;
+ get_sphere_params(nrings, nsegs, true, &num_sphere_verts, &num_sphere_tris);
+ get_grid_params(subdivs, subdivs, true, &num_grid_verts, &num_grid_tris);
+ Array<Face *> tris(num_sphere_tris + num_grid_tris);
+ arena.reserve(num_sphere_verts + num_grid_verts, num_sphere_tris + num_grid_tris);
+ double3 center(0.0, 0.0, z_offset);
+ fill_sphere_data(nrings,
+ nsegs,
+ center,
+ 1.0,
+ true,
+ MutableSpan<Face *>(tris.begin(), num_sphere_tris),
+ 0,
+ 0,
+ &arena);
+ fill_grid_data(subdivs,
+ subdivs,
+ true,
+ 4.0,
+ double3(0, 0, 0),
+ MutableSpan<Face *>(tris.begin() + num_sphere_tris, num_grid_tris),
+ num_sphere_verts,
+ num_sphere_tris,
+ &arena);
+ IMesh mesh(tris);
+ double time_create = PIL_check_seconds_timer();
+ // write_obj_mesh(mesh, "spheregrid_in");
+ IMesh out;
+ if (use_self) {
+ out = trimesh_self_intersect(mesh, &arena);
+ }
+ else {
+ int nf = num_sphere_tris;
+ out = trimesh_nary_intersect(
+ mesh, 2, [nf](int t) { return t < nf ? 0 : 1; }, false, &arena);
+ }
+ double time_intersect = PIL_check_seconds_timer();
+ std::cout << "Create time: " << time_create - time_start << "\n";
+ std::cout << "Intersect time: " << time_intersect - time_create << "\n";
+ std::cout << "Total time: " << time_intersect - time_start << "\n";
+ if (DO_OBJ) {
+ write_obj_mesh(out, "spheregrid");
+ }
+ BLI_task_scheduler_exit();
+}
+
+TEST(mesh_intersect_perf, SphereSphere)
+{
+ spheresphere_test(512, 0.5, false);
+}
+
+TEST(mesh_intersect_perf, SphereGrid)
+{
+ spheregrid_test(512, 4, 0.1, false);
+}
+
+# endif
+
+} // namespace blender::meshintersect::tests
+#endif