271 lines
8.0 KiB
C++
271 lines
8.0 KiB
C++
// include the unit test framework first
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#include <catch2/catch_test_macros.hpp>
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#include <catch2/matchers/catch_matchers_floating_point.hpp>
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// include the module you're going to test next
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#include "Matrix.hpp"
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// any other libraries
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#include <array>
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#include <cmath>
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#include <iostream>
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TEST_CASE("Elementary Matrix Operations", "Matrix") {
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std::array<float, 4> arr1{1, 2, 3, 4};
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std::array<float, 4> arr2{5, 6, 7, 8};
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Matrix<2, 2> mat1{arr1};
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Matrix<2, 2> mat2{arr2};
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Matrix<2, 2> mat3{};
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SECTION("Initialization") {
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// array initialization
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REQUIRE(mat1.Get(0, 0) == 1);
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REQUIRE(mat1.Get(0, 1) == 2);
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REQUIRE(mat1.Get(1, 0) == 3);
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REQUIRE(mat1.Get(1, 1) == 4);
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// empty initialization
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REQUIRE(mat3.Get(0, 0) == 0);
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REQUIRE(mat3.Get(0, 1) == 0);
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REQUIRE(mat3.Get(1, 0) == 0);
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REQUIRE(mat3.Get(1, 1) == 0);
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// TODO: what about a matrix of size 255x255?
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}
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SECTION("Fill") {
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mat1.Fill(0);
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REQUIRE(mat1.Get(0, 0) == 0);
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REQUIRE(mat1.Get(0, 1) == 0);
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REQUIRE(mat1.Get(1, 0) == 0);
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REQUIRE(mat1.Get(1, 1) == 0);
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mat2.Fill(100000);
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REQUIRE(mat2.Get(0, 0) == 100000);
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REQUIRE(mat2.Get(0, 1) == 100000);
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REQUIRE(mat2.Get(1, 0) == 100000);
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REQUIRE(mat2.Get(1, 1) == 100000);
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mat3.Fill(-20);
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REQUIRE(mat3.Get(0, 0) == -20);
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REQUIRE(mat3.Get(0, 1) == -20);
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REQUIRE(mat3.Get(1, 0) == -20);
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REQUIRE(mat3.Get(1, 1) == -20);
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}
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SECTION("Addition") {
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std::string strBuf1 = "";
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mat1.ToString(strBuf1);
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std::cout << "Matrix 1:\n" << strBuf1 << std::endl;
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mat1.Add(mat2, mat3);
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REQUIRE(mat3.Get(0, 0) == 6);
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REQUIRE(mat3.Get(0, 1) == 8);
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REQUIRE(mat3.Get(1, 0) == 10);
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REQUIRE(mat3.Get(1, 1) == 12);
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// try out addition with overloaded operators
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mat3.Fill(0);
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mat3 = mat1 + mat2;
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REQUIRE(mat3.Get(0, 0) == 6);
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REQUIRE(mat3.Get(0, 1) == 8);
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REQUIRE(mat3.Get(1, 0) == 10);
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REQUIRE(mat3.Get(1, 1) == 12);
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}
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SECTION("Subtraction") {
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mat1.Sub(mat2, mat3);
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REQUIRE(mat3.Get(0, 0) == -4);
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REQUIRE(mat3.Get(0, 1) == -4);
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REQUIRE(mat3.Get(1, 0) == -4);
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REQUIRE(mat3.Get(1, 1) == -4);
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// try out subtraction with operators
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mat3.Fill(0);
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mat3 = mat1 - mat2;
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REQUIRE(mat3.Get(0, 0) == -4);
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REQUIRE(mat3.Get(0, 1) == -4);
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REQUIRE(mat3.Get(1, 0) == -4);
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REQUIRE(mat3.Get(1, 1) == -4);
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}
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SECTION("Multiplication") {
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mat1.Mult(mat2, mat3);
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REQUIRE(mat3.Get(0, 0) == 19);
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REQUIRE(mat3.Get(0, 1) == 22);
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REQUIRE(mat3.Get(1, 0) == 43);
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REQUIRE(mat3.Get(1, 1) == 50);
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// try out multiplication with operators
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mat3.Fill(0);
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mat3 = mat1 * mat2;
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REQUIRE(mat3.Get(0, 0) == 19);
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REQUIRE(mat3.Get(0, 1) == 22);
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REQUIRE(mat3.Get(1, 0) == 43);
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REQUIRE(mat3.Get(1, 1) == 50);
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}
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SECTION("Scalar Multiplication") {
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mat1.Mult(2, mat3);
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REQUIRE(mat3.Get(0, 0) == 2);
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REQUIRE(mat3.Get(0, 1) == 4);
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REQUIRE(mat3.Get(1, 0) == 6);
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REQUIRE(mat3.Get(1, 1) == 8);
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}
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SECTION("Element Multiply") {
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mat1.ElementMultiply(mat2, mat3);
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REQUIRE(mat3.Get(0, 0) == 5);
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REQUIRE(mat3.Get(0, 1) == 12);
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REQUIRE(mat3.Get(1, 0) == 21);
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REQUIRE(mat3.Get(1, 1) == 32);
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}
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SECTION("Element Divide") {
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mat1.ElementDivide(mat2, mat3);
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REQUIRE_THAT(mat3.Get(0, 0), Catch::Matchers::WithinRel(0.2f, 1e-6f));
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REQUIRE_THAT(mat3.Get(0, 1), Catch::Matchers::WithinRel(0.3333333f, 1e-6f));
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REQUIRE_THAT(mat3.Get(1, 0), Catch::Matchers::WithinRel(0.4285714f, 1e-6f));
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REQUIRE_THAT(mat3.Get(1, 1), Catch::Matchers::WithinRel(0.5f, 1e-6f));
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}
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SECTION("Minor Matrix") {
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// what about matrices of 0,0 or 1,1?
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// minor matrix for 2x2 matrix
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Matrix<1, 1> minorMat1{};
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mat1.MinorMatrix(minorMat1, 0, 0);
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REQUIRE(minorMat1.Get(0, 0) == 4);
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mat1.MinorMatrix(minorMat1, 0, 1);
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REQUIRE(minorMat1.Get(0, 0) == 3);
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mat1.MinorMatrix(minorMat1, 1, 0);
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REQUIRE(minorMat1.Get(0, 0) == 2);
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mat1.MinorMatrix(minorMat1, 1, 1);
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REQUIRE(minorMat1.Get(0, 0) == 1);
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// minor matrix for 3x3 matrix
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std::array<float, 9> arr4{1, 2, 3, 4, 5, 6, 7, 8, 9};
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Matrix<3, 3> mat4{arr4};
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Matrix<2, 2> minorMat4{};
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mat4.MinorMatrix(minorMat4, 0, 0);
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REQUIRE(minorMat4.Get(0, 0) == 5);
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REQUIRE(minorMat4.Get(0, 1) == 6);
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REQUIRE(minorMat4.Get(1, 0) == 8);
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REQUIRE(minorMat4.Get(1, 1) == 9);
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mat4.MinorMatrix(minorMat4, 1, 1);
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REQUIRE(minorMat4.Get(0, 0) == 1);
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REQUIRE(minorMat4.Get(0, 1) == 3);
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REQUIRE(minorMat4.Get(1, 0) == 7);
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REQUIRE(minorMat4.Get(1, 1) == 9);
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mat4.MinorMatrix(minorMat4, 2, 2);
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REQUIRE(minorMat4.Get(0, 0) == 1);
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REQUIRE(minorMat4.Get(0, 1) == 2);
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REQUIRE(minorMat4.Get(1, 0) == 4);
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REQUIRE(minorMat4.Get(1, 1) == 5);
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}
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SECTION("Determinant") {
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float det1 = mat1.Det();
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REQUIRE_THAT(det1, Catch::Matchers::WithinRel(-2.0F, 1e-6f));
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std::array<float, 9> arr4{1, 2, 3, 4, 5, 6, 7, 8, 9};
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Matrix<3, 3> mat4{arr4};
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float det4 = mat4.Det();
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REQUIRE_THAT(det4, Catch::Matchers::WithinRel(0.0F, 1e-6f));
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std::array<float, 9> arr5{1, 0, 0, 0, 2, 0, 0, 0, 3};
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Matrix<3, 3> mat5{arr5};
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float det5 = mat5.Det();
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REQUIRE_THAT(det5, Catch::Matchers::WithinRel(6.0F, 1e-6f));
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}
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SECTION("Matrix of Minors") {
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mat1.MatrixOfMinors(mat3);
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REQUIRE_THAT(mat3.Get(0, 0), Catch::Matchers::WithinRel(4.0F, 1e-6f));
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REQUIRE_THAT(mat3.Get(0, 1), Catch::Matchers::WithinRel(3.0F, 1e-6f));
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REQUIRE_THAT(mat3.Get(1, 0), Catch::Matchers::WithinRel(2.0F, 1e-6f));
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REQUIRE_THAT(mat3.Get(1, 1), Catch::Matchers::WithinRel(1.0F, 1e-6f));
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std::array<float, 9> arr4{1, 2, 3, 4, 5, 6, 7, 8, 9};
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Matrix<3, 3> mat4{arr4};
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Matrix<3, 3> mat5{0};
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mat4.MatrixOfMinors(mat5);
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REQUIRE_THAT(mat5.Get(0, 0), Catch::Matchers::WithinRel(-3.0F, 1e-6f));
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REQUIRE_THAT(mat5.Get(0, 1), Catch::Matchers::WithinRel(-6.0F, 1e-6f));
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REQUIRE_THAT(mat5.Get(0, 2), Catch::Matchers::WithinRel(-3.0F, 1e-6f));
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REQUIRE_THAT(mat5.Get(1, 0), Catch::Matchers::WithinRel(-6.0F, 1e-6f));
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REQUIRE_THAT(mat5.Get(1, 1), Catch::Matchers::WithinRel(-12.0F, 1e-6f));
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REQUIRE_THAT(mat5.Get(1, 2), Catch::Matchers::WithinRel(-6.0F, 1e-6f));
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REQUIRE_THAT(mat5.Get(2, 0), Catch::Matchers::WithinRel(-3.0F, 1e-6f));
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REQUIRE_THAT(mat5.Get(2, 1), Catch::Matchers::WithinRel(-6.0F, 1e-6f));
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REQUIRE_THAT(mat5.Get(2, 2), Catch::Matchers::WithinRel(-3.0F, 1e-6f));
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}
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SECTION("Invert") {
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mat1.Invert(mat3);
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REQUIRE_THAT(mat3.Get(0, 0), Catch::Matchers::WithinRel(-2.0F, 1e-6f));
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REQUIRE_THAT(mat3.Get(0, 1), Catch::Matchers::WithinRel(1.0F, 1e-6f));
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REQUIRE_THAT(mat3.Get(1, 0), Catch::Matchers::WithinRel(1.5F, 1e-6f));
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REQUIRE_THAT(mat3.Get(1, 1), Catch::Matchers::WithinRel(-0.5F, 1e-6f));
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};
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SECTION("Transpose") {
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// transpose a square matrix
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mat1.Transpose(mat3);
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REQUIRE(mat3.Get(0, 0) == 1);
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REQUIRE(mat3.Get(0, 1) == 3);
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REQUIRE(mat3.Get(1, 0) == 2);
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REQUIRE(mat3.Get(1, 1) == 4);
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// transpose a non-square matrix
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std::array<float, 6> arr4{1, 2, 3, 4, 5, 6};
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Matrix<2, 3> mat4{arr4};
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Matrix<3, 2> mat5{};
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mat4.Transpose(mat5);
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REQUIRE(mat5.Get(0, 0) == 1);
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REQUIRE(mat5.Get(0, 1) == 4);
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REQUIRE(mat5.Get(1, 0) == 2);
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REQUIRE(mat5.Get(1, 1) == 5);
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REQUIRE(mat5.Get(2, 0) == 3);
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REQUIRE(mat5.Get(2, 1) == 6);
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}
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SECTION("Normalize") {
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mat1.Normalize(mat3);
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float sqrt_30{sqrt(30)};
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REQUIRE(mat3.Get(0, 0) == 1 / sqrt_30);
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REQUIRE(mat3.Get(0, 1) == 2 / sqrt_30);
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REQUIRE(mat3.Get(1, 0) == 3 / sqrt_30);
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REQUIRE(mat3.Get(1, 1) == 4 / sqrt_30);
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std::array<float, 2> arr4{-0.878877044, 2.92092276};
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Matrix<2, 1> mat4{arr4};
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Matrix<2, 1> mat5{};
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mat4.Normalize(mat5);
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REQUIRE_THAT(mat5.Get(0, 0),
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Catch::Matchers::WithinRel(-0.288129855179f, 1e-6f));
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REQUIRE_THAT(mat5.Get(1, 0),
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Catch::Matchers::WithinRel(0.957591346325f, 1e-6f));
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}
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SECTION("GET ROW") {}
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SECTION("GET COLUMN") {}
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} |