#include #include #include #include #include #include #include #include #include #include "bernstein.hpp" #include "multiloop.hpp" #include "quadrature_multipoly.hpp" #include "binomial.hpp" #include "real.hpp" #include "sparkstack.hpp" #include "uvector.hpp" #include "vector" #include "xarray.hpp" #include #include #include "organizer/primitive.hpp" #include "organizer/organizer.hpp" #include "organizer/blobtree.hpp" using namespace algoim::Organizer; using namespace algoim; void casePolyhedron1() { // std::vector> ps; // mesh std::vector vertices = {uvector3(-0.8, -0.8, -0.8), uvector3(-0.8, -0.8, 0.8), uvector3(-0.8, 0.8, -0.8), uvector3(-0.8, 0.8, 0.8), uvector3(0.8, -0.8, -0.8), uvector3(0.8, -0.8, 0.8), uvector3(0.8, 0.8, -0.8), uvector3(0.8, 0.8, 0.8)}; std::vector indices = {3, 2, 0, 1, // left 4, 6, 7, 5, // right 6, 2, 3, 7, // top 1, 0, 4, 5, // bottom 7, 3, 1, 5, // front 2, 6, 4, 0}; // back std::vector scan = {4, 8, 12, 16, 20, 24}; // ps.emplace_back(std::make_shared(vertices, indices, scan)); // ps.emplace_back(std::make_shared(0.8, 0., 1.)); // ps.emplace_back(std::make_shared(makeSphere(0.2))); // ps.emplace_back(std::make_shared(MeshDesc(vertices, indices, scan))); basicTask(std::make_shared(MeshDesc(vertices, indices, scan))); } void casePolyhedron2() { // std::vector> ps; // mesh std::vector vertices = {uvector3(-0.8, -0.8, -0.8), uvector3(-0.8, -0.8, 0.8), uvector3(-0.8, 0.8, -0.8), uvector3(-0.8, 0.8, 0.8), uvector3(0.8, -0.8, -0.8), uvector3(0.8, -0.8, 0.8), uvector3(0.8, 0.8, -0.8), uvector3(0.8, 0.8, 0.8)}; std::vector indices = { 3, 2, 0, 1, // left 6, 2, 3, 7 // top }; std::vector scan = {4, 8}; // ps.emplace_back(std::make_shared(vertices, indices, scan)); // ps.emplace_back(std::make_shared(0.8, 0., 1.)); // ps.emplace_back(std::make_shared(makeSphere(0.2))); // ps.emplace_back(std::make_shared(MeshDesc(vertices, indices, scan))); basicTask(std::make_shared(MeshDesc(vertices, indices, scan))); } void casePolyhedron3() { std::vector> primitiveDescriptions; // std::vector vertices = {uvector3(-1.6, 0, 0), // uvector3(-1.6, 0, 1.6), // uvector3(-1.6, 1.6, 0), // uvector3(-1.6, 1.6, 1.6), // uvector3(1.6, 0, 0), // uvector3(1.6, 0, 1.6), // uvector3(1.6, 1.6, 0), // uvector3(1.6, 1.6, 1.6)}; std::vector vertices = {uvector3(-0.8, -0.8, -0.8), uvector3(-0.8, -0.8, 0.8), uvector3(-0.8, 0.8, -0.8), uvector3(-0.8, 0.8, 0.8), uvector3(0.8, -0.8, -0.8), uvector3(0.8, -0.8, 0.8), uvector3(0.8, 0.8, -0.8), uvector3(0.8, 0.8, 0.8)}; std::vector indices = {3, 2, 0, 1, // left 6, 2, 3, 7, // top // 7, // 3, // 1, // 5, // front 2, 6, 4, 0}; // back std::vector scan = {4, 8, 12}; basicTask(std::make_shared(MeshDesc(vertices, indices, scan))); } void casePolyhedronSphere() { // PI * r^3 / 6 auto phi0 = std::make_shared(SphereDesc(0.8, uvector3(-0.8, 0.8, -0.8), 1.)); std::vector vertices = {uvector3(-0.8, -0.8, -0.8), uvector3(-0.8, -0.8, 0.8), uvector3(-0.8, 0.8, -0.8), uvector3(-0.8, 0.8, 0.8), uvector3(0.8, -0.8, -0.8), uvector3(0.8, -0.8, 0.8), uvector3(0.8, 0.8, -0.8), uvector3(0.8, 0.8, 0.8)}; std::vector indices = {3, 2, 0, 1, // left 6, 2, 3, 7, // top 2, 6, 4, 0}; // back std::vector scan = {4, 8, 12}; std::vector> primitiveDescriptions(2); primitiveDescriptions[0] = phi0; primitiveDescriptions[1] = std::make_shared(MeshDesc(vertices, indices, scan)); basicTask(primitiveDescriptions); } void caseTwoCube() { auto phi0 = std::make_shared(CuboidDesc(0.2, 0.6)); auto phi1 = std::make_shared(CuboidDesc(-0.2, 0.6)); basicTask({phi0, phi1}); } void caseCubeSphere() { auto phi0 = std::make_shared(CuboidDesc(0.2, 0.6)); auto phi1 = std::make_shared(SphereDesc(0.6, -0.2, 1.)); basicTask({phi0, phi1}); } void caseScene() { const int PRIMITIVE_CNT = 6; std::vector> primitiveDescriptions(PRIMITIVE_CNT); primitiveDescriptions[0] = std::make_shared(CuboidDesc(0., 1.6)); // primitiveDescriptions[1] = std::make_shared(CuboidDesc(uvector3(0.6, 0.6, -0.6), 2.)); primitiveDescriptions[1] = std::make_shared(SphereDesc(1., uvector3(0.6, 0.6, -0.6), 1.)); primitiveDescriptions[2] = std::make_shared(SphereDesc(0.7, uvector3(0.8, 0.8, 0.8), 1.)); primitiveDescriptions[3] = std::make_shared(SphereDesc(0.5, uvector3(-0.3, -0.8, 0.8), 1.)); std::vector pyramidBottomVertices = { uvector3{-1, -1, 0}, uvector3{1, -1, 0}, uvector3{1, 1, 0}, uvector3{-1, 1, 0} }; primitiveDescriptions[4] = std::make_shared(pyramidBottomVertices, uvector3{0, 0, 1}); primitiveDescriptions[5] = std::make_shared(ConeDesc(uvector3(0., -0.2, 0.), -0.7, 0.4, 1)); // primitiveDescriptions[6] = std::make_shared(CylinderDesc(uvector3(-0.3, 0.3, 2.3), 0.4, 3.6, 1)); organizer::BlobTree blobTree; blobTree.structure.resize(PRIMITIVE_CNT * 2 - 1); blobTree.primitiveNodeIdx.resize(PRIMITIVE_CNT); blobTree.structure[0] = {1, 0, 0, 0, 1, 2}; // cube1 blobTree.structure[1] = {1, 0, 0, 0, 0, 0}; // cube2 blobTree.structure[2] = {0, 0, 0, 0, 1, 6}; // Union of cubes = opNode1 blobTree.structure[3] = {1, 0, 0, 0, 1, 5}; // sphere1 blobTree.structure[4] = {1, 0, 0, 0, 0, 0}; // sphere2 blobTree.structure[5] = {0, 0, 0, 0, 0, 0}; // Union of spheres = opNode2 blobTree.structure[6] = {0, 2, 0, 0, 1, 10}; // Difference of opNode1 and sphere2 = opNode3 blobTree.structure[7] = {1, 0, 0, 0, 1, 9}; // Pyramid blobTree.structure[8] = {1, 0, 0, 0, 0, 0}; // Cone blobTree.structure[9] = {0, 1, 0, 0, 0, 0}; // Intersection of Pyramid and Cone = opNode4 blobTree.structure[10] = {0, 0, 0, 0, 1, 12}; // Union of opNode3 and opNode4 = opNode5 // blobTree.structure[11] = {1, 0, 0, 0, 0, 0}; // Cylinder // blobTree.structure[12] = {0, 2, 0, 0, 1, 0}; // Difference of opNode5 and Cylinder // blobTree.primitiveNodeIdx = {0, 1, 3, 4, 7, 8, 11}; // quadratureScene(primitiveDescriptions, uvector3(-1., -1.3, -1.6), uvector3(1.6, 1.6, 2.3), blobTree); blobTree.primitiveNodeIdx = {0, 1, 3, 4, 7, 8}; quadratureScene(primitiveDescriptions, uvector3(-1., -1.3, -1.6), uvector3(1.6, 1.6, 1.5), blobTree); } void testDeCasteljau() { auto phiDesc = std::make_shared(SphereDesc(0.8, uvector3(0), 1.)); tensor3 tensor(nullptr, 3), tensor01(nullptr, 3), tensorBernstein(nullptr, 3), transformedTensorBernstein(nullptr, 3); algoim_spark_alloc(real, tensor, tensor01, tensorBernstein, transformedTensorBernstein); AABB aabb; makeSphere(*phiDesc, tensor, aabb); uvector3 xmax = 1, xmin = -1, range = xmax - xmin; Organizer::detail::powerTransformation(range, xmin, tensor, tensor01); Organizer::detail::power2BernsteinTensor(tensor01, tensorBernstein); // bernstein::deCasteljau(tensorBernstein, uvector3(0), uvector3(0.2690598923241497 + 0.0000001), // transformedTensorBernstein); bernstein::deCasteljau(tensorBernstein, uvector3(0.2690598923241497 + 0.0000001), uvector3(1 - 0.2690598923241497 - 0.0000001), transformedTensorBernstein); uvector3 testX = uvector3(0.5); int sign = bernstein::uniformSign(transformedTensorBernstein); real evalX = evalPower(tensor, testX); std::cout << "evalX original rep = " << evalX << std::endl; evalX = bernstein::evalBernsteinPoly(tensorBernstein, testX); std::cout << "evalX bernstein within 0-1 = " << evalX << std::endl; evalX = bernstein::evalBernsteinPoly(transformedTensorBernstein, testX); std::cout << "evalX bernstein after Decasteljau = " << evalX << std::endl; std::cout << "sign = " << sign << std::endl; } void testSubDivideWithDeCasteljau() { auto phiDesc = std::make_shared(SphereDesc(0.7, uvector3(0.8), 1.)); tensor3 tensor(nullptr, 3), tensor01(nullptr, 3), tensorBernstein(nullptr, 3), transformedTensorBernstein(nullptr, 3); algoim_spark_alloc(real, tensor, tensor01, tensorBernstein, transformedTensorBernstein); AABB aabb; makeSphere(*phiDesc, tensor, aabb); uvector3 xmin = uvector3(-1., -1.3, -1.6), xmax = uvector3(1.6, 1.6, 2.3), range = xmax - xmin; Organizer::detail::powerTransformation(range, xmin, tensor, tensor01); Organizer::detail::power2BernsteinTensor(tensor01, tensorBernstein); xmin = 0, xmax = 1; // bernstein::deCasteljau(tensorBernstein, uvector3(0), uvector3(0.2690598923241497 + 0.0000001), // transformedTensorBernstein); for (MultiLoop<3> j(0, 2); ~j; ++j) { auto aabbSub = Organizer::detail::getOneEightCellAABB(AABB{xmin, xmax}, j(), 0); bernstein::deCasteljau(tensorBernstein, aabbSub.min, aabbSub.max, transformedTensorBernstein); auto transformedTensorVec = xarray2StdVector(transformedTensorBernstein); int sign = bernstein::uniformSign(transformedTensorBernstein); std::cout << "j(): (" << j(0) << ", " << j(1) << ", " << j(2) << "), sign: " << sign << std::endl; if (all(j() == uvector3i(0, 0, 1))) { for (MultiLoop<3> k(0, 2); ~k; ++k) { auto aabbSubSub = Organizer::detail::getOneEightCellAABB(aabbSub, k(), 0); bernstein::deCasteljau(tensorBernstein, aabbSubSub.min, aabbSubSub.max, transformedTensorBernstein); int sign = bernstein::uniformSign(transformedTensorBernstein); std::cout << "k(): (" << k(0) << ", " << k(1) << ", " << k(2) << "), sign: " << sign << std::endl; } } } uvector3 testX = uvector3(0.5); real evalX = evalPower(tensor, testX); std::cout << "evalX original rep = " << evalX << std::endl; evalX = evalPower(tensor01, testX); std::cout << "evalX power within 0-1 = " << evalX << std::endl; evalX = bernstein::evalBernsteinPoly(tensorBernstein, testX); std::cout << "evalX bernstein within 0-1 = " << evalX << std::endl; // 切比雪夫 xmin = uvector3(-1., -1.3, -1.6), xmax = uvector3(1.6, 1.6, 2.3); auto phi = [](const uvector &x) { return (x(0) - 0.8) * (x(0) - 0.8) + (x(1) - 0.8) * (x(1) - 0.8) + (x(2) - 0.8) * (x(2) - 0.8) - 0.1 * 0.1; }; xarray phipoly(nullptr, 3), subPhiPoly(nullptr, 3); algoim_spark_alloc(real, phipoly, subPhiPoly); bernstein::bernsteinInterpolate<3>([&](const uvector &x) { return phi(xmin + x * (xmax - xmin)); }, phipoly); xmin = 0, xmax = 1; for (MultiLoop<3> j(0, 2); ~j; ++j) { auto aabbSub = Organizer::detail::getOneEightCellAABB(AABB{xmin, xmax}, j(), 0); bernstein::deCasteljau(phipoly, aabbSub.min, aabbSub.max, subPhiPoly); int sign = bernstein::uniformSign(subPhiPoly); std::cout << "j(): (" << j(0) << ", " << j(1) << ", " << j(2) << "), sign: " << sign << std::endl; } } void testBlob() { organizer::Blob blob = {5, 3, 4, 5, 6}; // std::cout << blob.isPrimitive << std::endl; // std::cout << blob.nodeOp << std::endl; // std::cout << blob.ignoreMod << std::endl; // std::cout << blob.isLeft << std::endl; // std::cout << blob.ancestor << std::endl; std::cout << sizeof(blob) << std::endl; std::cout << sizeof(int) << std::endl; } void testTensorInverse() { auto phiDesc = std::make_shared(uvector3(0.2, 0.3, 0.5), uvector3(0.8, 1.1, 0.9)); const int faceCnt = 6; std::vector tensors(faceCnt, tensor3(nullptr, 2)); std::vector *> sparkStackPtrs(faceCnt); tensor3 tensor(nullptr, 1 + faceCnt); algoimSparkAllocHeapVector(sparkStackPtrs, tensors); algoim_spark_alloc(real, tensor); AABB aabb; makeMesh(*phiDesc, tensor, tensors, aabb); uvector3 testX(0.5, 0.7, 0.2); real evalX = evalPower(tensor, testX); std::cout << "before inverse, evalX = " << evalX << std::endl; inverseTensor(tensor); evalX = evalPower(tensor, testX); std::cout << "after inverse, evalX = " << evalX << std::endl; } void testPrimitive() { // casePolyhedron1(); // casePolyhedronSphere(); // testSubDivideWithDeCasteljau(); // testBlob(); // caseScene(); caseCubeSphere(); // caseTwoCube(); // testTensorInverse(); }