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boolean_complex_test.cpp
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// Copyright 2021 The Manifold Authors.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
#ifdef MANIFOLD_CROSS_SECTION
#include "manifold/cross_section.h"
#endif
#include <fstream>
#include <iostream>
#include "manifold/manifold.h"
#include "manifold/polygon.h"
#include "test.h"
using namespace manifold;
/**
* These tests verify correct topology and geometry for complex boolean
* operations between valid shapes with many faces.
*/
TEST(BooleanComplex, Sphere) {
Manifold sphere = WithPositionColors(Manifold::Sphere(1.0, 12));
MeshGL sphereGL = sphere.GetMeshGL();
Manifold sphere2 = sphere.Translate(vec3(0.5));
Manifold result = sphere - sphere2;
ExpectMeshes(result, {{74, 144, 3, 110}});
EXPECT_EQ(result.NumDegenerateTris(), 0);
RelatedGL(result, {sphereGL});
result = result.Refine(4);
RelatedGL(result, {sphereGL});
#ifdef MANIFOLD_EXPORT
ExportOptions opt;
opt.mat.roughness = 1;
opt.mat.colorIdx = 0;
if (options.exportModels)
ExportMesh("sphereUnion.glb", result.GetMeshGL(), opt);
#endif
}
TEST(BooleanComplex, MeshRelation) {
Manifold gyroid = WithPositionColors(Gyroid()).AsOriginal();
MeshGL gyroidMeshGL = gyroid.GetMeshGL();
Manifold gyroid2 = gyroid.Translate(vec3(2.0));
EXPECT_FALSE(gyroid.IsEmpty());
EXPECT_TRUE(gyroid.MatchesTriNormals());
EXPECT_LE(gyroid.NumDegenerateTris(), 0);
Manifold result = gyroid + gyroid2;
result = result.RefineToLength(0.1);
#ifdef MANIFOLD_EXPORT
ExportOptions opt;
opt.mat.roughness = 1;
opt.mat.colorIdx = 0;
if (options.exportModels)
ExportMesh("gyroidUnion.glb", result.GetMeshGL(), opt);
#endif
EXPECT_TRUE(result.MatchesTriNormals());
EXPECT_LE(result.NumDegenerateTris(), 12);
EXPECT_EQ(result.Decompose().size(), 1);
EXPECT_NEAR(result.Volume(), 226, 1);
EXPECT_NEAR(result.SurfaceArea(), 387, 1);
RelatedGL(result, {gyroidMeshGL});
}
TEST(BooleanComplex, Cylinders) {
Manifold rod = Manifold::Cylinder(1.0, 0.4, -1.0, 12);
double arrays1[][12] = {
{0, 0, 1, 3, //
-1, 0, 0, 3, //
0, -1, 0, 6}, //
{0, 0, 1, 2, //
-1, 0, 0, 3, //
0, -1, 0, 8}, //
{0, 0, 1, 1, //
-1, 0, 0, 2, //
0, -1, 0, 7}, //
{1, 0, 0, 3, //
0, 1, 0, 2, //
0, 0, 1, 6}, //
{0, 0, 1, 3, //
-1, 0, 0, 3, //
0, -1, 0, 7}, //
{0, 0, 1, 1, //
-1, 0, 0, 3, //
0, -1, 0, 7}, //
{1, 0, 0, 3, //
0, 0, 1, 4, //
0, -1, 0, 6}, //
{1, 0, 0, 4, //
0, 0, 1, 4, //
0, -1, 0, 6}, //
};
double arrays2[][12] = {
{1, 0, 0, 3, //
0, 0, 1, 2, //
0, -1, 0, 6}, //
{1, 0, 0, 4, //
0, 1, 0, 3, //
0, 0, 1, 6}, //
{0, 0, 1, 2, //
-1, 0, 0, 2, //
0, -1, 0, 7}, //
{1, 0, 0, 3, //
0, 1, 0, 3, //
0, 0, 1, 7}, //
{1, 0, 0, 2, //
0, 1, 0, 3, //
0, 0, 1, 7}, //
{1, 0, 0, 1, //
0, 1, 0, 3, //
0, 0, 1, 7}, //
{1, 0, 0, 3, //
0, 1, 0, 4, //
0, 0, 1, 7}, //
{1, 0, 0, 3, //
0, 1, 0, 5, //
0, 0, 1, 6}, //
{0, 0, 1, 3, //
-1, 0, 0, 4, //
0, -1, 0, 6}, //
};
Manifold m1;
for (auto& array : arrays1) {
mat3x4 mat;
for (const int i : {0, 1, 2, 3}) {
for (const int j : {0, 1, 2}) {
mat[i][j] = array[j * 4 + i];
}
}
m1 += rod.Transform(mat);
}
Manifold m2;
for (auto& array : arrays2) {
mat3x4 mat;
for (const int i : {0, 1, 2, 3}) {
for (const int j : {0, 1, 2}) {
mat[i][j] = array[j * 4 + i];
}
}
m2 += rod.Transform(mat);
}
m1 += m2;
EXPECT_TRUE(m1.MatchesTriNormals());
EXPECT_LE(m1.NumDegenerateTris(), 12);
}
TEST(BooleanComplex, Subtract) {
MeshGL firstMesh;
firstMesh.vertProperties = {
0, 0, 0, //
1540, 0, 0, //
1540, 70, 0, //
0, 70, 0, //
0, 0, -278.282, //
1540, 70, -278.282, //
1540, 0, -278.282, //
0, 70, -278.282 //
};
firstMesh.triVerts = {
0, 1, 2, //
2, 3, 0, //
4, 5, 6, //
5, 4, 7, //
6, 2, 1, //
6, 5, 2, //
5, 3, 2, //
5, 7, 3, //
7, 0, 3, //
7, 4, 0, //
4, 1, 0, //
4, 6, 1, //
};
MeshGL secondMesh;
secondMesh.vertProperties = {
2.04636e-12, 70, 50000, //
2.04636e-12, -1.27898e-13, 50000, //
1470, -1.27898e-13, 50000, //
1540, 70, 50000, //
2.04636e-12, 70, -28.2818, //
1470, -1.27898e-13, 0, //
2.04636e-12, -1.27898e-13, 0, //
1540, 70, -28.2818 //
};
secondMesh.triVerts = {
0, 1, 2, //
2, 3, 0, //
4, 5, 6, //
5, 4, 7, //
6, 2, 1, //
6, 5, 2, //
5, 3, 2, //
5, 7, 3, //
7, 0, 3, //
7, 4, 0, //
4, 1, 0, //
4, 6, 1 //
};
Manifold first(firstMesh);
Manifold second(secondMesh);
first -= second;
first.GetMeshGL();
EXPECT_EQ(first.Status(), Manifold::Error::NoError);
}
TEST(BooleanComplex, Close) {
PolygonParams().processOverlaps = true;
const double r = 10;
Manifold a = Manifold::Sphere(r, 256);
Manifold result = a;
for (int i = 0; i < 10; i++) {
// std::cout << i << std::endl;
result ^= a.Translate({a.GetEpsilon() / 10 * i, 0.0, 0.0});
}
const double tol = 0.004;
EXPECT_NEAR(result.Volume(), (4.0 / 3.0) * kPi * r * r * r, tol * r * r * r);
EXPECT_NEAR(result.SurfaceArea(), 4 * kPi * r * r, tol * r * r);
#ifdef MANIFOLD_EXPORT
if (options.exportModels) ExportMesh("close.glb", result.GetMeshGL(), {});
#endif
PolygonParams().processOverlaps = false;
}
TEST(BooleanComplex, BooleanVolumes) {
// Define solids which volumes are easy to compute w/ bit arithmetics:
// m1, m2, m4 are unique, non intersecting "bits" (of volume 1, 2, 4)
// m3 = m1 + m2
// m7 = m1 + m2 + m3
auto m1 = Manifold::Cube({1, 1, 1});
auto m2 = Manifold::Cube({2, 1, 1}).Translate({1, 0, 0});
auto m4 = Manifold::Cube({4, 1, 1}).Translate({3, 0, 0});
auto m3 = Manifold::Cube({3, 1, 1});
auto m7 = Manifold::Cube({7, 1, 1});
EXPECT_FLOAT_EQ((m1 ^ m2).Volume(), 0);
EXPECT_FLOAT_EQ((m1 + m2 + m4).Volume(), 7);
EXPECT_FLOAT_EQ((m1 + m2 - m4).Volume(), 3);
EXPECT_FLOAT_EQ((m1 + (m2 ^ m4)).Volume(), 1);
EXPECT_FLOAT_EQ((m7 ^ m4).Volume(), 4);
EXPECT_FLOAT_EQ((m7 ^ m3 ^ m1).Volume(), 1);
EXPECT_FLOAT_EQ((m7 ^ (m1 + m2)).Volume(), 3);
EXPECT_FLOAT_EQ((m7 - m4).Volume(), 3);
EXPECT_FLOAT_EQ((m7 - m4 - m2).Volume(), 1);
EXPECT_FLOAT_EQ((m7 - (m7 - m1)).Volume(), 1);
EXPECT_FLOAT_EQ((m7 - (m1 + m2)).Volume(), 4);
}
TEST(BooleanComplex, Spiral) {
const int d = 2;
std::function<Manifold(const int, const double, const double)> spiral =
[&](const int rec, const double r, const double add) {
const double rot = 360.0 / (kPi * r * 2) * d;
const double rNext = r + add / 360 * rot;
const Manifold cube =
Manifold::Cube(vec3(1), true).Translate({0, r, 0});
if (rec > 0)
return spiral(rec - 1, rNext, add).Rotate(0, 0, rot) + cube;
return cube;
};
const Manifold result = spiral(120, 25, 2);
EXPECT_EQ(result.Genus(), -120);
}
#ifdef MANIFOLD_CROSS_SECTION
TEST(BooleanComplex, Sweep) {
PolygonParams().processOverlaps = true;
// generate the minimum equivalent positive angle
auto minPosAngle = [](double angle) {
double div = angle / kTwoPi;
double wholeDiv = floor(div);
return angle - wholeDiv * kTwoPi;
};
// calculate determinant
auto det = [](vec2 v1, vec2 v2) { return v1.x * v2.y - v1.y * v2.x; };
// generate sweep profile
auto generateProfile = []() {
double filletRadius = 2.5;
double filletWidth = 5;
int numberOfArcPoints = 10;
vec2 arcCenterPoint = vec2(filletWidth - filletRadius, filletRadius);
std::vector<vec2> arcPoints;
for (int i = 0; i < numberOfArcPoints; i++) {
double angle = i * kPi / numberOfArcPoints;
double y = arcCenterPoint.y - cos(angle) * filletRadius;
double x = arcCenterPoint.x + sin(angle) * filletRadius;
arcPoints.push_back(vec2(x, y));
}
std::vector<vec2> profile;
profile.push_back(vec2(0, 0));
profile.push_back(vec2(filletWidth - filletRadius, 0));
for (int i = 0; i < numberOfArcPoints; i++) {
profile.push_back(arcPoints[i]);
}
profile.push_back(vec2(0, filletWidth));
CrossSection profileCrossSection = CrossSection(profile);
return profileCrossSection;
};
CrossSection profile = generateProfile();
auto partialRevolve = [minPosAngle, profile](double startAngle,
double endAngle,
int nSegmentsPerRotation) {
double posEndAngle = minPosAngle(endAngle);
double totalAngle = 0;
if (startAngle < 0 && endAngle < 0 && startAngle < endAngle) {
totalAngle = endAngle - startAngle;
} else {
totalAngle = posEndAngle - startAngle;
}
int nSegments = ceil(totalAngle / kTwoPi * nSegmentsPerRotation + 1);
if (nSegments < 2) {
nSegments = 2;
}
double angleStep = totalAngle / (nSegments - 1);
auto warpFunc = [nSegments, angleStep, startAngle](vec3& vertex) {
double zIndex = nSegments - 1 - vertex.z;
double angle = zIndex * angleStep + startAngle;
// transform
vertex.z = vertex.y;
vertex.y = vertex.x * sin(angle);
vertex.x = vertex.x * cos(angle);
};
return Manifold::Extrude(profile.ToPolygons(), nSegments - 1, nSegments - 2)
.Warp(warpFunc);
};
auto cutterPrimitives = [det, partialRevolve, profile](vec2 p1, vec2 p2,
vec2 p3) {
vec2 diff = p2 - p1;
vec2 vec1 = p1 - p2;
vec2 vec2 = p3 - p2;
double determinant = det(vec1, vec2);
double startAngle = atan2(vec1.x, -vec1.y);
double endAngle = atan2(-vec2.x, vec2.y);
Manifold round =
partialRevolve(startAngle, endAngle, 20).Translate(vec3(p2.x, p2.y, 0));
double distance = sqrt(diff.x * diff.x + diff.y * diff.y);
double angle = atan2(diff.y, diff.x);
Manifold extrusionPrimitive =
Manifold::Extrude(profile.ToPolygons(), distance)
.Rotate(90, 0, -90)
.Translate(vec3(distance, 0, 0))
.Rotate(0, 0, angle * 180 / kPi)
.Translate(vec3(p1.x, p1.y, 0));
std::vector<Manifold> result;
if (determinant < 0) {
result.push_back(round);
result.push_back(extrusionPrimitive);
} else {
result.push_back(extrusionPrimitive);
}
return result;
};
auto scalePath = [](std::vector<vec2> path, double scale) {
std::vector<vec2> newPath;
for (vec2 point : path) {
newPath.push_back(scale * point);
}
return newPath;
};
std::vector<vec2> pathPoints = {{-21.707751473606564, 10.04202769267855},
{-21.840846948218307, 9.535474475521578},
{-21.940954413815387, 9.048287386171369},
{-22.005569458385835, 8.587741145234093},
{-22.032187669917704, 8.16111047331591},
{-22.022356960178296, 7.755456475810721},
{-21.9823319178086, 7.356408291345673},
{-21.91208498286602, 6.964505631629036},
{-21.811437268778267, 6.579251589515578},
{-21.68020988897306, 6.200149257860059},
{-21.51822395687812, 5.82670172951726},
{-21.254086890521585, 5.336709200579579},
{-21.01963533308061, 4.974523796623895},
{-20.658228140926262, 4.497743844638198},
{-20.350337020134603, 4.144115181723373},
{-19.9542029967, 3.7276501717684054},
{-20.6969129296381, 3.110639833377638},
{-21.026318197401537, 2.793796378245609},
{-21.454710558515973, 2.3418076758544806},
{-21.735944543382722, 2.014266362004704},
{-21.958999535447845, 1.7205197644485681},
{-22.170169612837164, 1.3912359628761894},
{-22.376940405634056, 1.0213515348242117},
{-22.62545385249271, 0.507889651991388},
{-22.77620002102207, 0.13973666928102288},
{-22.8689989640578, -0.135962138067232},
{-22.974385239894364, -0.5322784681448909},
{-23.05966775687304, -0.9551466941218276},
{-23.102914137841445, -1.2774406685179822},
{-23.14134824916783, -1.8152432718003662},
{-23.152085124298473, -2.241104719188421},
{-23.121576743285054, -2.976332948223073},
{-23.020491352156856, -3.6736813934577914},
{-22.843552165110886, -4.364810769710428},
{-22.60334013490563, -5.033012850282157},
{-22.305015243491663, -5.67461444847819},
{-21.942709324216615, -6.330962778427178},
{-21.648491707764062, -6.799117771996025},
{-21.15330508818782, -7.496539096945377},
{-21.10687739725184, -7.656798276710632},
{-21.01253055778545, -8.364144493707382},
{-20.923211927856293, -8.782280691344269},
{-20.771325204062215, -9.258087073404687},
{-20.554404009259198, -9.72613360625344},
{-20.384050989017144, -9.985885743112847},
{-20.134404839253612, -10.263023004626703},
{-19.756998832033442, -10.613109670467736},
{-18.83161393127597, -15.68768837402245},
{-19.155593463785983, -17.65410871259763},
{-17.930304365744544, -19.005810988385562},
{-16.893408103100064, -19.50558228186199},
{-16.27514960757635, -19.8288501942628},
{-15.183033464853374, -20.47781203017123},
{-14.906850387751492, -20.693472553142833},
{-14.585198957236713, -21.015257964547136},
{-11.013839210807205, -34.70394287828328},
{-8.79778020674896, -36.17434400175442},
{-7.850491148257242, -36.48835987119041},
{-6.982497182376991, -36.74546968896842},
{-6.6361688522576, -36.81653354539242},
{-6.0701080598244035, -36.964332993204},
{-5.472439187922815, -37.08824838436714},
{-4.802871164820756, -37.20127157090685},
{-3.6605994233344745, -37.34427653957914},
{-1.7314396363710867, -37.46415201430501},
{-0.7021130485987349, -37.5},
{0.01918509410483974, -37.49359541901704},
{1.2107837650065625, -37.45093992812552},
{3.375529069920302, 32.21823383780513},
{1.9041980552754056, 32.89839543047101},
{1.4107184651094313, 33.16556804736585},
{1.1315552947605065, 33.34344755450097},
{0.8882931135353977, 33.52377699790175},
{0.6775397019893341, 33.708817857198056},
{0.49590284067753837, 33.900831612019715},
{0.2291596803839543, 34.27380625039597},
{0.03901816126171688, 34.66402375075138},
{-0.02952797094655369, 34.8933309389416},
{-0.0561772851849209, 35.044928843125824},
{-0.067490756643705, 35.27129875796868},
{-0.05587453990569748, 35.42204271802184},
{0.013497378362074697, 35.72471438137191},
{0.07132375113026912, 35.877348797053145},
{0.18708820875448923, 36.108917464873215},
{0.39580614140195136, 36.424415957998825},
{0.8433687814267005, 36.964365016108914},
{0.7078417131710703, 37.172455373435916},
{0.5992848016685662, 37.27482757003058},
{0.40594743344375905, 37.36664006036318},
{0.1397973410299913, 37.434752779117005}};
int numPoints = pathPoints.size();
pathPoints = scalePath(pathPoints, 0.9);
std::vector<Manifold> result;
for (int i = 0; i < numPoints; i++) {
std::vector<Manifold> primitives =
cutterPrimitives(pathPoints[i], pathPoints[(i + 1) % numPoints],
pathPoints[(i + 2) % numPoints]);
for (Manifold primitive : primitives) {
result.push_back(primitive);
}
}
// all primitives should be valid
for (Manifold primitive : result) {
if (primitive.Volume() < 0) {
std::cerr << "INVALID PRIMITIVE" << std::endl;
}
}
Manifold shape = Manifold::BatchBoolean(result, OpType::Add);
EXPECT_NEAR(shape.Volume(), 3757, 1);
#ifdef MANIFOLD_EXPORT
if (options.exportModels) ExportMesh("unionError.glb", shape.GetMeshGL(), {});
#endif
PolygonParams().processOverlaps = false;
}
#endif
TEST(BooleanComplex, InterpolatedNormals) {
MeshGL a;
a.numProp = 8;
a.vertProperties = {
// 0
-409.0570983886719, -300, -198.83624267578125, 0, -1, 0,
590.9429321289062, 301.1637268066406,
// 1
-1000, -300, 500, 0, -1, 0, 0, 1000,
// 2
-1000, -300, -500, 0, -1, 0, 0, 0,
// 3
-1000, -300, -500, -1, 0, 0, 600, 0,
// 4
-1000, -300, 500, -1, 0, 0, 600, 1000,
// 5
-1000, 300, -500, -1, 0, 0, 0, 0,
// 6
7.179656982421875, -300, -330.03717041015625, 0, -1, 0,
1007.1796264648438, 169.9628448486328,
// 7
1000, 300, 500, 0, 0, 1, 2000, 600,
// 8
403.5837097167969, 300, 500, 0, 0, 1, 1403.583740234375, 600,
// 9
564.2904052734375, 21.64801025390625, 500, 0, 0, 1, 1564.29052734375,
321.64801025390625,
// 10
1000, -300, -500, 0, 0, -1, 2000, 600,
// 11
-1000, -300, -500, 0, 0, -1, 0, 600,
// 12
-1000, 300, -500, 0, 0, -1, 0, 0,
// 13
1000, 300, 500, 0, 1, 0, 0, 1000,
// 14
1000, 300, -500, 0, 1, 0, 0, 0,
// 15
724.5271606445312, 300, 398.83624267578125, 0, 1, 0, 275.47283935546875,
898.8362426757812,
// 16
-115.35255432128906, -300, 500, 0, -1, 0, 884.6475219726562,
1000.0001220703125,
// 17
-384.7195129394531, 166.55722045898438, 500, 0, 0, 1, 615.280517578125,
466.5572509765625,
// 18
-1000, -300, 500, 0, 0, 1, 0, 0,
// 19
-161.6136932373047, -219.87335205078125, 500, 0, 0, 1, 838.3862915039062,
80.12664794921875,
// 20
1000, -300, 500, 0, 0, 1, 2000, 0,
// 21
-115.35255432128906, -300, 500, 0, 0, 1, 884.6475219726562, 0,
// 22
1000, 300, 500, 1, 0, 0, 600, 1000,
// 23
1000, -300, 500, 1, 0, 0, 0, 1000,
// 24
1000, 300, -500, 1, 0, 0, 600, 0,
// 25
566.6257934570312, 300, 23.1280517578125, 0, 1, 0, 433.3742370605469,
523.1281127929688,
// 26
411.5867004394531, -66.51548767089844, -500, 0, 0, -1, 1411.586669921875,
366.5155029296875,
// 27
375.7498779296875, -4.444300651550293, -500, 0, 0, -1, 1375.7498779296875,
304.4443054199219,
// 28
346.7673034667969, 300, -500, 0, 1, 0, 653.2326049804688, 0,
// 29
-153.58984375, 300, -388.552490234375, 0, 1, 0, 1153.58984375,
111.447509765625,
// 30
199.9788818359375, 300, -500, 0, 1, 0, 800.0211791992188, 0,
// 31
-1000, 300, -500, 0, 1, 0, 2000, 0,
// 32
-153.58987426757812, 300, 44.22247314453125, 0, 1, 0, 1153.58984375,
544.2224731445312,
// 33
199.9788818359375, 300, -500, 0, 0, -1, 1199.9791259765625, 0,
// 34
521.6780395507812, -2.9542479515075684, -500, 0, 0, -1, 1521.677978515625,
302.9542541503906,
// 35
346.7673034667969, 300, -500, 0, 0, -1, 1346.767333984375, 0,
// 36
1000, 300, -500, 0, 0, -1, 2000, 0,
// 37
-1000, 300, 500, -1, 0, 0, 0, 1000,
// 38
-1000, 300, 500, 0, 0, 1, 0, 600,
// 39
-1000, 300, 500, 0, 1, 0, 2000, 1000,
// 40
-153.58985900878906, 300, 500, 0, 0, 1, 846.4102172851562, 600,
// 41
88.46627807617188, -253.06915283203125, 500, 0, 0, 1, 1088.4664306640625,
46.93084716796875,
// 42
-153.58985900878906, 300, 500, 0, 1, 0, 1153.58984375, 1000,
// 43
7.1796698570251465, -300, 500, 0, 0, 1, 1007.1797485351562, 0,
// 44
1000, -300, -500, 0, -1, 0, 2000, 0,
// 45
1000, -300, 500, 0, -1, 0, 2000, 1000,
// 46
7.1796698570251465, -300, 500, 0, -1, 0, 1007.1796264648438, 1000,
// 47
403.5837097167969, 300, 500, 0, 1, 0, 596.4163208007812, 1000,
// 48
1000, -300, -500, 1, 0, 0, 0, 0,
// 49
492.3005676269531, -19.915321350097656, -500, 0, 0, -1, 1492.300537109375,
319.91534423828125,
// 50
411.5867004394531, -66.51548767089844, -500, -0.5, 0.8660253882408142, 0,
880.5439453125, 0,
// 51
7.179656982421875, -300, -330.03717041015625, -0.5000000596046448,
0.866025447845459, 0, 383.6058654785156, 0,
// 52
492.3005676269531, -19.915321350097656, -500, -0.5, 0.8660253882408142, 0,
968.1235961914062, 31.876384735107422,
// 53
7.1796698570251465, -300, 500, -0.5000000596046448, 0.866025447845459, 0,
99.71644592285156, 779.979736328125,
// 54
88.46627807617188, -253.06915283203125, 500, -0.5, 0.8660253882408142, 0,
187.91758728027344, 812.0823974609375,
// 55
-153.58985900878906, 300, 500, 0.5, -0.866025447845459, 0,
749.2095947265625, 834.9661865234375,
// 56
-384.7195129394531, 166.55722045898438, 500, 0.5000000596046448,
-0.866025447845459, 0, 1000, 743.6859741210938,
// 57
-153.58987426757812, 300, 44.22247314453125, 0.5, -0.8660253882408142, 0,
593.3245239257812, 406.6754455566406,
// 58
564.2904052734375, 21.64801025390625, 500, -0.5, 0.866025447845459, 0,
704.217041015625, 1000.0000610351562,
// 59
-604.9979248046875, 39.37942886352539, -198.83624267578125, 0.5,
-0.8660253882408142, 0, 1000, 0,
// 60
199.9788818359375, 300, -500, 0.29619815945625305, 0.1710100919008255,
0.9396927356719971, 880.5438842773438, 176.7843475341797,
// 61
-153.58984375, 300, -388.552490234375, 0.29619815945625305,
0.1710100919008255, 0.9396927356719971, 554.6932373046875, 0,
// 62
375.7498779296875, -4.444300651550293, -500, 0.29619812965393066,
0.1710100919008255, 0.9396926760673523, 880.5438842773438,
528.3263549804688,
// 63
566.6257934570312, 300, 23.1280517578125, -0.8137977123260498,
-0.46984636783599854, 0.342020183801651, 239.89218139648438, 600.1796875,
// 64
346.7673034667969, 300, -500, -0.8137977719306946, -0.46984633803367615,
0.342020183801651, 349.8214111328125, 43.478458404541016,
// 65
521.6780395507812, -2.9542479515075684, -500, -0.8137977719306946,
-0.46984633803367615, 0.342020183801651, 0, 43.478458404541016,
// 66
804.9979248046875, 160.62057495117188, 398.83624267578125, -0.5,
0.8660253882408142, 0, 1000, 1000,
// 67
521.6780395507812, -2.9542479515075684, -500, -0.5, 0.8660253882408142, 0,
1000, 43.47837829589844,
// 68
-153.58984375, 300, -388.552490234375, 0.5, -0.8660253882408142, 0,
445.3067626953125, 0,
// 69
-604.9979248046875, 39.37942886352539, -198.83624267578125,
0.29619815945625305, 0.1710100919008255, 0.9396927356719971, 0, 0,
// 70
804.9979248046875, 160.62057495117188, 398.83624267578125,
-0.813797652721405, -0.46984630823135376, 0.3420201539993286, 0, 1000,
// 71
-161.6136932373047, -219.87335205078125, 500, 0.8137977123260498,
0.46984630823135376, -0.3420201539993286, 446.21160888671875,
743.68603515625,
// 72
-604.9979248046875, 39.37942886352539, -198.83624267578125,
0.813797652721405, 0.46984630823135376, -0.3420201539993286, 0, 0,
// 73
-384.7195129394531, 166.55722045898438, 500, 0.8137977123260498,
0.46984636783599854, -0.342020183801651, 0, 743.6859741210938,
// 74
-115.35255432128906, -300, 500, 0.813797652721405, 0.46984633803367615,
-0.3420201539993286, 538.73388671875, 743.68603515625,
// 75
-409.0570983886719, -300, -198.83624267578125, 0.813797652721405,
0.46984630823135376, -0.3420201539993286, 391.8816223144531, 0,
// 76
7.179656982421875, -300, -330.03717041015625, 0.29619815945625305,
0.1710100919008255, 0.9396927356719971, 383.6058654785156, 600,
// 77
564.2904052734375, 21.64801025390625, 500, -0.29619812965393066,
-0.1710100919008255, -0.9396926164627075, 704.2169189453125,
-0.000030517578125,
// 78
403.5837097167969, 300, 500, -0.29619812965393066, -0.1710100919008255,
-0.9396926164627075, 704.2169799804688, 321.4132385253906,
// 79
724.5271606445312, 300, 398.83624267578125, -0.29619815945625305,
-0.1710100919008255, -0.9396926760673523, 1000, 160.94149780273438,
// 80
804.9979248046875, 160.62057495117188, 398.83624267578125,
-0.29619815945625305, -0.1710100919008255, -0.9396927356719971, 1000, 0,
// 81
-409.0570983886719, -300, -198.83624267578125, 0.29619815945625305,
0.1710100919008255, 0.9396927356719971, 0, 391.88165283203125,
// 82
724.5271606445312, 300, 398.83624267578125, -0.813797652721405,
-0.46984630823135376, 0.342020183801651, 160.94149780273438,
1000.0000610351562,
// 83
411.5867004394531, -66.51548767089844, -500, 0.29619815945625305,
0.1710100769996643, 0.9396926164627075, 880.5440063476562,
600.0000610351562};
a.triVerts = {0, 1, 2, //
3, 4, 5, //
6, 0, 2, //
7, 8, 9, //
10, 11, 12, //
13, 14, 15, //
0, 16, 1, //
17, 18, 19, //
9, 20, 7, //
18, 21, 19, //
22, 23, 24, //
14, 25, 15, //
26, 12, 27, //
14, 28, 25, //
29, 30, 31, //
29, 31, 32, //
12, 33, 27, //
34, 35, 36, //
5, 4, 37, //
17, 38, 18, //
31, 39, 32, //
40, 38, 17, //
9, 41, 20, //
39, 42, 32, //
41, 43, 20, //
6, 2, 44, //
6, 45, 46, //
26, 10, 12, //
47, 13, 15, //
48, 24, 23, //
6, 44, 45, //
26, 49, 10, //
49, 34, 10, //
34, 36, 10, //
50, 51, 52, //
51, 53, 54, //
51, 54, 52, //
55, 56, 57, //
52, 54, 58, //
59, 57, 56, //
60, 61, 62, //
63, 64, 65, //
52, 66, 67, //
59, 68, 57, //
69, 62, 61, //
65, 70, 63, //
71, 72, 73, //
52, 58, 66, //
74, 72, 71, //
74, 75, 72, //
62, 69, 76, //
77, 78, 79, //
79, 80, 77, //
69, 81, 76, //
63, 70, 82, //
76, 83, 62};
a.mergeFromVert = {3, 4, 11, 12, 13, 18, 21, 22, 23, 24, 31, 33, 35, 36,
38, 39, 42, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55,
56, 57, 58, 60, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71,
72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83};
a.mergeToVert = {2, 1, 2, 5, 7, 1, 16, 7, 20, 14, 5, 30, 28, 14,
37, 37, 40, 10, 20, 43, 8, 10, 26, 6, 49, 43, 41, 40,
17, 32, 9, 30, 29, 27, 25, 28, 34, 34, 29, 59, 66, 19,
59, 17, 16, 0, 6, 9, 8, 15, 66, 0, 15, 26};
MeshGL b;
b.numProp = 8;
b.vertProperties = {-1700, -600, -1000, -1, 0, 0, 1200, 0, //
-1700, -600, 1000, -1, 0, 0, 1200, 2000, //
-1700, 600, -1000, -1, 0, 0, 0, 0, //
-1700, -600, -1000, 0, -1, 0, 0, 0, //
300, -600, -1000, 0, -1, 0, 2000, 0, //
-1700, -600, 1000, 0, -1, 0, 0, 2000, //
-1700, -600, -1000, 0, 0, -1, 0, 1200, //
-1700, 600, -1000, 0, 0, -1, 0, 0, //
300, -600, -1000, 0, 0, -1, 2000, 1200, //
-1700, -600, 1000, 0, 0, 1, 0, 0, //
300, -600, 1000, 0, 0, 1, 2000, 0, //
-1700, 600, 1000, 0, 0, 1, 0, 1200, //
-1700, 600, 1000, -1, 0, 0, 0, 2000, //
-1700, 600, -1000, 0, 1, 0, 2000, 0, //
-1700, 600, 1000, 0, 1, 0, 2000, 2000, //
300, 600, 1000, 0, 1, 0, 0, 2000, //
300, -600, -1000, 1, 0, 0, 0, 0, //
300, 600, -1000, 1, 0, 0, 1200, 0, //
300, -600, 1000, 1, 0, 0, 0, 2000, //
300, -600, 1000, 0, -1, 0, 2000, 2000, //
300, 600, -1000, 0, 0, -1, 2000, 0, //
300, 600, -1000, 0, 1, 0, 0, 0, //
300, 600, 1000, 0, 0, 1, 2000, 1200, //
300, 600, 1000, 1, 0, 0, 1200, 2000};
b.triVerts = {0, 1, 2, //
3, 4, 5, //
6, 7, 8, //
9, 10, 11, //
1, 12, 2, //
13, 14, 15, //
16, 17, 18, //
4, 19, 5, //
7, 20, 8, //
21, 13, 15, //
10, 22, 11, //
17, 23, 18};
b.mergeFromVert = {3, 5, 6, 7, 8, 9, 12, 13, 14, 16, 18, 19, 20, 21, 22, 23};
b.mergeToVert = {0, 1, 0, 2, 4, 1, 11, 2, 11, 4, 10, 10, 17, 17, 15, 15};
a.runOriginalID = {Manifold::ReserveIDs(1)};
b.runOriginalID = {Manifold::ReserveIDs(1)};
Manifold aManifold(a);
Manifold bManifold(b);
auto aMinusB = aManifold - bManifold;
RelatedGL(aMinusB, {a, b}, false, false);
}
#ifdef MANIFOLD_EXPORT
TEST(BooleanComplex, SelfIntersect) {
manifold::PolygonParams().processOverlaps = true;
Manifold m1 = ReadMesh("self_intersectA.glb");
Manifold m2 = ReadMesh("self_intersectB.glb");
Manifold res = m1 + m2;
res.GetMeshGL(); // test crash
manifold::PolygonParams().processOverlaps = false;
}
TEST(BooleanComplex, GenericTwinBooleanTest7081) {
Manifold m1 = ReadMesh("Generic_Twin_7081.1.t0_left.glb");
Manifold m2 = ReadMesh("Generic_Twin_7081.1.t0_right.glb");
Manifold res = m1 + m2; // Union
res.GetMeshGL(); // test crash
}
TEST(BooleanComplex, GenericTwinBooleanTest7863) {
manifold::PolygonParams().processOverlaps = true;
Manifold m1 = ReadMesh("Generic_Twin_7863.1.t0_left.glb");
Manifold m2 = ReadMesh("Generic_Twin_7863.1.t0_right.glb");
Manifold res = m1 + m2; // Union
res.GetMeshGL(); // test crash
manifold::PolygonParams().processOverlaps = false;
}
TEST(BooleanComplex, Havocglass8Bool) {
manifold::PolygonParams().processOverlaps = true;
Manifold m1 = ReadMesh("Havocglass8_left.glb");
Manifold m2 = ReadMesh("Havocglass8_right.glb");
Manifold res = m1 + m2; // Union
res.GetMeshGL(); // test crash
manifold::PolygonParams().processOverlaps = false;
}
TEST(BooleanComplex, CraycloudBool) {
Manifold m1 = ReadMesh("Cray_left.glb");
Manifold m2 = ReadMesh("Cray_right.glb");
Manifold res = m1 - m2;
EXPECT_EQ(res.Status(), Manifold::Error::NoError);
EXPECT_TRUE(res.IsEmpty());
}
TEST(BooleanComplex, HullMask) {
Manifold body = ReadMesh("hull-body.glb");
Manifold mask = ReadMesh("hull-mask.glb");
Manifold ret = body - mask;
MeshGL mesh = ret.GetMeshGL();
}
// Note - For the moment, the Status() checks are included in the loops to
// (more or less) mimic the BRL-CAD behavior of checking the mesh for
// unexpected output after each iteration. Doing so is not ideal - it
// *massively* slows the overall evaluation - but it also seems to be
// triggering behavior that avoids a triangulation failure.
//
// Eventually, once other issues are resolved, the in-loop checks should be
// removed in favor of the top level checks.
TEST(BooleanComplex, SimpleOffset) {
std::string file = __FILE__;
std::string dir = file.substr(0, file.rfind('/'));
MeshGL seeds = ImportMesh(dir + "/models/" + "Generic_Twin_91.1.t0.glb");
EXPECT_TRUE(seeds.NumTri() > 10);
EXPECT_TRUE(seeds.NumVert() > 10);
// Unique edges
std::vector<std::pair<int, int>> edges;
for (size_t i = 0; i < seeds.NumTri(); i++) {
const int k[3] = {1, 2, 0};
for (const int j : {0, 1, 2}) {
int v1 = seeds.triVerts[i * 3 + j];
int v2 = seeds.triVerts[i * 3 + k[j]];
if (v2 > v1) edges.push_back(std::make_pair(v1, v2));
}
}
manifold::Manifold c;
// Vertex Spheres
Manifold sph = Manifold::Sphere(1, 8);
for (size_t i = 0; i < seeds.NumVert(); i++) {
vec3 vpos(seeds.vertProperties[3 * i + 0], seeds.vertProperties[3 * i + 1],
seeds.vertProperties[3 * i + 2]);
Manifold vsph = sph.Translate(vpos);
c += vsph;
}
// Edge Cylinders
for (size_t i = 0; i < edges.size(); i++) {
vec3 ev1 = vec3(seeds.vertProperties[3 * edges[i].first + 0],
seeds.vertProperties[3 * edges[i].first + 1],
seeds.vertProperties[3 * edges[i].first + 2]);
vec3 ev2 = vec3(seeds.vertProperties[3 * edges[i].second + 0],
seeds.vertProperties[3 * edges[i].second + 1],
seeds.vertProperties[3 * edges[i].second + 2]);
vec3 edge = ev2 - ev1;
double len = la::length(edge);
if (len < std::numeric_limits<float>::min()) continue;
manifold::Manifold origin_cyl = manifold::Manifold::Cylinder(len, 1, 1, 8);
vec3 evec(-1 * edge.x, -1 * edge.y, edge.z);
quat q = rotation_quat(normalize(evec), vec3(0, 0, 1));
manifold::Manifold right = origin_cyl.Transform({la::qmat(q), ev1});
c += right;
}
// Triangle Volumes
for (size_t i = 0; i < seeds.NumTri(); i++) {
int eind[3];
for (int j = 0; j < 3; j++) eind[j] = seeds.triVerts[i * 3 + j];
std::vector<vec3> ev;
for (int j = 0; j < 3; j++) {
ev.push_back(vec3(seeds.vertProperties[3 * eind[j] + 0],
seeds.vertProperties[3 * eind[j] + 1],
seeds.vertProperties[3 * eind[j] + 2]));
}
vec3 a = ev[0] - ev[2];
vec3 b = ev[1] - ev[2];
vec3 n = la::normalize(la::cross(a, b));
if (!all(isfinite(n))) continue;
// Extrude the points above and below the plane of the triangle
vec3 pnts[6];
for (int j = 0; j < 3; j++) pnts[j] = ev[j] + n;
for (int j = 3; j < 6; j++) pnts[j] = ev[j - 3] - n;
// Construct the points and faces of the new manifold
double pts[3 * 6] = {pnts[4].x, pnts[4].y, pnts[4].z, pnts[3].x, pnts[3].y,
pnts[3].z, pnts[0].x, pnts[0].y, pnts[0].z, pnts[1].x,
pnts[1].y, pnts[1].z, pnts[5].x, pnts[5].y, pnts[5].z,
pnts[2].x, pnts[2].y, pnts[2].z};
int faces[24] = {
faces[0] = 0, faces[1] = 1, faces[2] = 4, // 1 2 5
faces[3] = 2, faces[4] = 3, faces[5] = 5, // 3 4 6