SymX/tests/test_loops.cpp at main · InteractiveComputerGraphics/SymX · GitHub

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#include "catch.hpp"

#ifdef SYMX_ENABLE_AVX2

#include <immintrin.h>

#endif

#include <omp.h>

#include <symx>

#include "sympy_derivatives.h"

#include "utils.h"

using namespace symx;

TEST_CASE("triangle_point_new", "[loops_new]")

{

// Data

EigenMatrixRM<double> points = EigenMatrixRM<double>::Random(4, 3);

const double S = -1.0;

std::vector<std::array<int, 4>> triangle_point_pairs = { {0, 1, 2, 3}, {0, 1, 2, 3} };

// SymPy reference

std::vector<double> in(13), ref(157);

std::copy(points.data(), points.data() + points.size(), in.begin());

in[12] = S;

sympy_point_triangle_distance_derivatives(in.data(), ref.data());

// Workspace

auto [mws, conn] = MappedWorkspace<double>::create(triangle_point_pairs);

// Make Symbols

std::vector<Vector> x = mws->make_vectors(points, conn);

Scalar sign = mws->make_scalar(S);

// Distance calculation

Vector ap = x[3] - x[0];

Vector ca = x[0] - x[2];

Vector cb = x[1] - x[2];

Vector n = ca.cross3(cb).normalized();

Scalar dist = sign * ap.dot(n);

// Derivatives

std::vector<Scalar> dofs = collect_scalars(x);

std::vector<Scalar> vals = value_gradient_hessian(dist, dofs);

// Compiled in loop

CompiledInLoop<double> loop(mws, vals, "triangle_point", symx::get_codegen_dir());

loop.run(/*n_threads = */ 1,

[&ref](const View<double> solution, const int32_t iteration, const int32_t thread_id, const View<int32_t> connectivity)

{

for (int i = 0; i < (int)ref.size(); i++) {

REQUIRE(approx(ref[i], solution[i]));

}

);

}

template <typename COMPILED_FLOAT>

void test_triangle_area(int n_threads, bool use_coloring, bool use_conditional, int n_summations = 1, int num_elements_override = -1)

{

// Generate mesh

Eigen::Vector2d size(1.0, 1.0);

std::array<int32_t, 2> quads = {5, 5}; // 25 quads -> 50 triangles

symx::TriangleMesh<double> mesh = symx::generate_triangle_grid(size, quads);

if (num_elements_override > 0) {

if (num_elements_override < (int)mesh.triangles.size()) {

mesh.triangles.resize(num_elements_override);

}

// Create workspace

auto [mws, conn] = MappedWorkspace<double>::create(mesh.triangles);

// Symbols

std::vector<Vector> x = mws->make_vectors(mesh.vertices, conn);

// Area calculation: 0.5 * ||(B-A) x (C-A)||

Vector A = x[0];

Vector B = x[1];

Vector C = x[2];

Vector AB = B - A;

Vector AC = C - A;

Vector cross = AB.cross3(AC);

Scalar area = 0.5 * cross.norm();

// Expression

std::vector<Scalar> exprs;

// Summation

if (n_summations > 1) {

std::vector<std::array<double, 1>> iteration_vectors;

for (int i = 0; i < n_summations; i++) {

iteration_vectors.push_back({1.0});

}

Scalar summation_area = mws->add_for_each(iteration_vectors,

[&](Vector& vec) {

return area * vec[0];

}

);

exprs.push_back(summation_area);

}

else {

exprs.push_back(area);

}

// Compile

CompiledInLoop<double, COMPILED_FLOAT> loop(mws, exprs, "triangle_area", symx::get_codegen_dir());

if (use_coloring) {

std::vector<int> indices = {0, 1, 2};

loop.enable_coloring(indices);

}

// Reference calculation

double ref_area = 0.0;

std::vector<double> ref_areas(mesh.triangles.size());

for (size_t i = 0; i < mesh.triangles.size(); ++i) {

Eigen::Vector3d v0 = mesh.vertices[mesh.triangles[i][0]];

Eigen::Vector3d v1 = mesh.vertices[mesh.triangles[i][1]];

Eigen::Vector3d v2 = mesh.vertices[mesh.triangles[i][2]];

ref_areas[i] = 0.5 * (v1 - v0).cross(v2 - v0).norm();

ref_areas[i] *= (double)n_summations;

double cx = (v0.x() + v1.x() + v2.x()) / 3.0;

if (use_conditional) {

if (cx > 0.0) {

ref_area += ref_areas[i];

}

else {

ref_area += ref_areas[i];

}

// Conditional flags (centroid x > 0.0)

std::vector<uint8_t> active(mesh.triangles.size(), 1);

if (use_conditional) {

for (size_t i = 0; i < mesh.triangles.size(); ++i) {

const auto& tri = mesh.triangles[i];

Eigen::Vector3d v0 = mesh.vertices[tri[0]];

Eigen::Vector3d v1 = mesh.vertices[tri[1]];

Eigen::Vector3d v2 = mesh.vertices[tri[2]];

double cx = (v0.x() + v1.x() + v2.x()) / 3.0;

active[i] = static_cast<uint8_t>(cx > 0.0);

}

// Execution check

double sum_area = 0.0;

auto execute_callback = [&](const View<double> solution, const int32_t element_idx, const int32_t thread_id, const View<int32_t> connectivity)

{

// Check conditional if active

if (use_conditional) {

Eigen::Vector3d v0 = mesh.vertices[connectivity[0]];

Eigen::Vector3d v1 = mesh.vertices[connectivity[1]];

Eigen::Vector3d v2 = mesh.vertices[connectivity[2]];

double cx = (v0.x() + v1.x() + v2.x()) / 3.0;

if (cx < 0.0) {

REQUIRE(false);

}

double ref = ref_areas[element_idx];

double sol = solution[0];

if constexpr (std::is_same_v<COMPILED_FLOAT, float>

#ifdef SYMX_ENABLE_AVX2

|| std::is_same_v<COMPILED_FLOAT, __m256>

#endif

) {

REQUIRE(std::abs(sol - ref) < 1e-4);

} else {

REQUIRE(approx(ref, sol));

}

#pragma omp atomic

sum_area += (double)sol;

};

// Run

loop.run(n_threads, execute_callback, active);

REQUIRE(sum_area == Approx(ref_area));

}

TEST_CASE("triangle_area_combinations", "[loops_new]")

{

// void test_triangle_area(int n_threads, bool use_coloring, bool use_conditional, int n_summations = 1, int num_elements_override = -1)

SECTION("Double") {

test_triangle_area<double>(1, false, false);

test_triangle_area<double>(4, true, false);

test_triangle_area<double>(1, false, true);

test_triangle_area<double>(4, false, false);

test_triangle_area<double>(1, false, false, 3);

test_triangle_area<double>(4, true, false, 3);

test_triangle_area<double>(1, false, true, 3);

test_triangle_area<double>(4, false, false, 3);

}

SECTION("Float") {

test_triangle_area<float>(1, false, false);

}

#ifdef SYMX_ENABLE_AVX2

SECTION("AVX2 Double") {

// Mid mesh

test_triangle_area<__m256d>(1, false, false);

test_triangle_area<__m256d>(4, true, true);

test_triangle_area<__m256d>(4, false, true);

test_triangle_area<__m256d>(4, false, false);

// Precise number of elements

for (int n_threads : {1, 4}) {

for (bool use_coloring : {false, true}) {

for (bool use_conditional : {false, true}) {

for (int n_summations : {1, 3}) {

for (int num_elements : {1, 4, 8, 9}) {

test_triangle_area<__m256d>(n_threads, use_coloring, use_conditional, n_summations, num_elements);

}

SECTION("AVX2 Float") {

test_triangle_area<__m256>(1, false, false);

test_triangle_area<__m256>(1, false, false, 1);

test_triangle_area<__m256>(1, false, false, 4);

test_triangle_area<__m256>(1, false, false, 8);

}

#endif

}

SymX/tests/test_loops.cpp at main · InteractiveComputerGraphics/SymX · GitHub

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