390 lines
9.9 KiB
C++
390 lines
9.9 KiB
C++
/*
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* DoRayMe - a quick and dirty Raytracer
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* Matric unit tests
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*
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* Created by Manoël Trapier
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* Copyright (c) 2020 986-Studio.
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*
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*/
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#include <matrix.h>
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#include <tuples.h>
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#include <math.h>
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#include <gtest/gtest.h>
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TEST(MatrixTest, Constructing_and_inspecting_a_4x4_Matrix)
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{
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double values[] = {1, 2, 3, 4,
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5.5, 6.5, 7.5, 8.5,
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9, 10, 11, 12,
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13.5, 14.5, 15.5, 16.5};
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Matrix4 m = Matrix4(values);
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ASSERT_EQ(m.get(0, 0), 1);
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ASSERT_EQ(m.get(0, 3), 4);
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ASSERT_EQ(m.get(1, 0), 5.5);
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ASSERT_EQ(m.get(1, 2), 7.5);
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ASSERT_EQ(m.get(2, 2), 11);
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ASSERT_EQ(m.get(3, 0), 13.5);
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ASSERT_EQ(m.get(3, 2), 15.5);
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}
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TEST(MatrixTest, A_2x2_matric_ought_to_be_representable)
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{
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double values[] = {-3, 5,
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1, -2};
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Matrix2 m = Matrix2(values);
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ASSERT_EQ(m.get(0, 0), -3);
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ASSERT_EQ(m.get(0, 1), 5);
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ASSERT_EQ(m.get(1, 0), 1);
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ASSERT_EQ(m.get(1, 1), -2);
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}
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TEST(MatrixTest, A_3x3_matric_ought_to_be_representable)
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{
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double values[] = {-3, 5, 0,
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1, -2, -7,
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0, 1, 1};
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Matrix3 m = Matrix3(values);
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ASSERT_EQ(m.get(0, 0), -3);
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ASSERT_EQ(m.get(1, 1), -2);
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ASSERT_EQ(m.get(2, 2), 1);
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}
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TEST(MatrixTest, Matrix_equality_with_identical_matrix)
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{
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double values1[] = {1, 2, 3, 4,
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5, 6, 7, 8,
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9, 8, 7, 6,
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5, 4, 3, 2};
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double values2[] = {1, 2, 3, 4,
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5, 6, 7, 8,
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9, 8, 7, 6,
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5, 4, 3, 2};
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Matrix4 A = Matrix4(values1);
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Matrix4 B = Matrix4(values2);
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ASSERT_EQ(A, B);
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}
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TEST(MatrixTest, Matrix_equality_with_different_matrix)
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{
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double values1[] = {1, 2, 3, 4,
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5, 6, 7, 8,
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9, 8, 7, 6,
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5, 4, 3, 2};
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double values2[] = {2, 3, 4, 5,
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6, 7, 8, 9,
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8, 7, 6, 5,
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4, 3, 2, 1};
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Matrix4 A = Matrix4(values1);
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Matrix4 B = Matrix4(values2);
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ASSERT_NE(A, B);
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}
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TEST(MatrixTest, Multiplying_two_matrices)
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{
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double values1[] = {1, 2, 3, 4,
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5, 6, 7, 8,
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9, 8, 7, 6,
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5, 4, 3, 2};
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double values2[] = {-2, 1, 2, 3,
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3, 2, 1, -1,
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4, 3, 6, 5,
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1, 2, 7, 8};
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double results[] = {20, 22, 50, 48,
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44, 54, 114, 108,
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40, 58, 110, 102,
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16, 26, 46, 42};
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Matrix4 A = Matrix4(values1);
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Matrix4 B = Matrix4(values2);
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ASSERT_EQ(A * B, Matrix4(results));
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}
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TEST(MatrixTest, A_matrix_multiplyed_by_a_tuple)
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{
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double valuesA[] = {1, 2, 3, 4,
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2, 4, 4, 2,
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8, 6, 4, 1,
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0, 0, 0, 1};
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Matrix4 A = Matrix4(valuesA);
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Tuple b = Tuple(1, 2, 3, 1);
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ASSERT_EQ(A * b, Tuple(18, 24, 33, 1));
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}
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TEST(MatrixTest, Multiplying_a_matrix_by_the_identity_matrix)
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{
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double valuesA[] = {0, 1, 2, 4,
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1, 2, 4, 8,
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2, 4, 8, 16,
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4, 8, 16, 32};
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Matrix4 A = Matrix4(valuesA);
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Matrix ident = Matrix4().identity();
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ASSERT_EQ(A * ident, A);
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}
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TEST(MatrixTest, Multiplying_the_identity_matrix_by_a_tuple)
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{
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Tuple a = Tuple(1, 2, 3, 4);
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Matrix ident = Matrix4().identity();
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ASSERT_EQ(ident * a, a);
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}
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TEST(MatrixTest, Transposing_a_matrix)
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{
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double valuesA[] = {0, 9, 3, 0,
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9, 8, 0, 8,
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1, 8, 5, 3,
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0, 0, 5, 8};
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double results[] = {0, 9, 1, 0,
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9, 8, 8, 0,
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3, 0, 5, 5,
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0, 8, 3, 8};
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Matrix A = Matrix4(valuesA);
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ASSERT_EQ(A.transpose(), Matrix4(results));
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}
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TEST(MatrixTest, Transposing_this_identity_matrix)
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{
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Matrix ident = Matrix4().identity();
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ASSERT_EQ(ident.transpose(), ident);
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}
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TEST(MatrixTest, Calculating_the_determinant_of_a_2x2_matrix)
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{
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double valuesA[] = { 1, 5,
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-3, 2 };
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Matrix2 A = Matrix2(valuesA);
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ASSERT_EQ(A.determinant(), 17);
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}
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TEST(MatrixTest, A_submatrix_of_a_3x3_matrix_is_a_2x2_matrix)
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{
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double valuesA[] = { 1, 5, 0,
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-3, 2, 7,
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0, 6, -3 };
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double results[] = { -3, 2,
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0, 6 };
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Matrix3 A = Matrix3(valuesA);
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ASSERT_EQ(A.submatrix(0, 2), Matrix2(results));
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}
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TEST(MatrixTest, A_submatrix_of_a_4x4_matrix_is_a_3x3_matrix)
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{
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double valuesA[] = { -6, 1, 1, 6,
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-8, 5, 8, 6,
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-1, 0, 8, 2,
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-7, 1, -1, 1 };
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double results[] = { -6, 1, 6,
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-8, 8, 6,
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-7,-1, 1 };
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Matrix4 A = Matrix4(valuesA);
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ASSERT_EQ(A.submatrix(2, 1), Matrix3(results));
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}
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TEST(MatrixTest, Calculate_a_minor_of_a_3x3_matrix)
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{
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double valuesA[] = { 3, 5, 0,
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2, -1, -7,
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6, -1, 5 };
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Matrix3 A = Matrix3(valuesA);
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Matrix B = A.submatrix(1, 0);
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ASSERT_EQ(B.determinant(), 25);
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ASSERT_EQ(A.minor(1, 0), 25);
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}
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TEST(MatrixTest, Calculating_a_cofactor_of_a_3x3_matrix)
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{
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double valuesA[] = { 3, 5, 0,
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2, -1, -7,
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6, -1, 5 };
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Matrix3 A = Matrix3(valuesA);
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ASSERT_EQ(A.minor(0, 0), -12);
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ASSERT_EQ(A.cofactor(0, 0), -12);
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ASSERT_EQ(A.minor(1, 0), 25);
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ASSERT_EQ(A.cofactor(1, 0), -25);
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}
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TEST(MatrixTest, Calculating_the_determinant_of_a_3x3_matrix)
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{
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double valuesA[] = { 1, 2, 6,
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-5, 8, -4,
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2, 6, 4 };
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Matrix A = Matrix3(valuesA);
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ASSERT_EQ(A.cofactor(0, 0), 56);
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ASSERT_EQ(A.cofactor(0, 1), 12);
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ASSERT_EQ(A.minor(0, 2), -46);
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ASSERT_EQ(A.determinant(), -196);
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}
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TEST(MatrixTest, Calculating_the_determinant_of_a_4x4_matrix)
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{
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double valuesA[] = { -2, -8, 3, 5,
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-3, 1, 7, 3,
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1, 2, -9, 6,
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-6, 7, 7, -9 };
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Matrix A = Matrix4(valuesA);
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ASSERT_EQ(A.cofactor(0, 0), 690);
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ASSERT_EQ(A.cofactor(0, 1), 447);
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ASSERT_EQ(A.cofactor(0, 2), 210);
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ASSERT_EQ(A.minor(0, 3), -51);
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ASSERT_EQ(A.determinant(), -4071);
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}
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TEST(MatrixTest, Testing_an_invertible_matrix_for_invertibility)
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{
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double valuesA[] = { 6, 4, 4, 4,
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5, 5, 7, 6,
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4, -9, 3, -7,
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9, 1, 7, -6 };
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Matrix A = Matrix4(valuesA);
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ASSERT_EQ(A.determinant(), -2120);
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ASSERT_TRUE(A.isInvertible());
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}
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TEST(MatrixTest, Testing_an_noninvertible_matrix_for_invertibility)
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{
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double valuesA[] = { -4, 2, -2, -3,
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9, 6, 2, 6,
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0, -5, 1, -5,
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0, 0, 0, 0 };
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Matrix A = Matrix4(valuesA);
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ASSERT_EQ(A.determinant(), 0);
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ASSERT_FALSE(A.isInvertible());
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}
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TEST(MatrixTest, Calculating_the_inverse_of_a_matrix)
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{
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double valuesA[] = { -5, 2, 6, -8,
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1, -5, 1, 8,
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7, 7, -6, -7,
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1, -3, 7, 4 };
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double results[] = { 0.21805, 0.45113, 0.24060, -0.04511,
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-0.80827, -1.45677, -0.44361, 0.52068,
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-0.07895, -0.22368, -0.05263, 0.19737,
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-0.52256, -0.81391, -0.30075, 0.30639 };
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Matrix A = Matrix4(valuesA);
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Matrix B = A.inverse();
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ASSERT_EQ(A.determinant(), 532);
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ASSERT_EQ(A.cofactor(2, 3), -160);
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ASSERT_NEAR(B.get(3, 2), -160./532., DBL_EPSILON);
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ASSERT_EQ(A.cofactor(3, 2), 105);
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ASSERT_NEAR(B.get(2, 3), 105./532., DBL_EPSILON);
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/* Temporary lower the precision */
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set_equal_precision(0.00001);
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ASSERT_EQ(B, Matrix4(results));
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/* Revert to default */
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set_equal_precision(FLT_EPSILON);
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}
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TEST(MatrixTest, Calculating_the_inverse_of_another_matrix)
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{
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double valuesA[] = { 8, -5, 9, 2,
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7, 5, 6, 1,
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-6, 0, 9, 6,
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-3, 0, -9, -4 };
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double results[] = { -0.15385, -0.15385, -0.28205, -0.53846,
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-0.07692, 0.12308, 0.02564, 0.03077,
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0.35897, 0.35897, 0.43590, 0.92308,
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-0.69231, -0.69231, -0.76923, -1.92308 };
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Matrix A = Matrix4(valuesA);
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Matrix B = A.inverse();
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/* Temporary lower the precision */
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set_equal_precision(0.00001);
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ASSERT_EQ(B, Matrix4(results));
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/* Revert to default */
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set_equal_precision(FLT_EPSILON);
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}
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TEST(MatrixTest, Calculating_the_inverse_of_third_matrix)
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{
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double valuesA[] = { 9, 3, 0, 9,
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-5, -2, -6, -3,
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-4, 9, 6, 4,
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-7, 6, 6, 2 };
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double results[] = { -0.04074, -0.07778, 0.14444, -0.22222,
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-0.07778, 0.03333, 0.36667, -0.33333,
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-0.02901, -0.14630, -0.10926, 0.12963,
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0.17778, 0.06667, -0.26667, 0.33333 };
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Matrix A = Matrix4(valuesA);
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Matrix B = A.inverse();
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/* Temporary lower the precision */
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set_equal_precision(0.00001);
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ASSERT_EQ(B, Matrix4(results));
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/* Revert to default */
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set_equal_precision(FLT_EPSILON);
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}
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TEST(MatrixTest, Multiplying_a_product_by_its_inverse)
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{
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double valuesA[] = { 3, -9, 7, 3,
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3, -8, 2, -9,
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-4, 4, 4, 1,
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-6, 5, -1, 1 };
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double valuesB[] = { 8, 2, 2, 2,
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3, -1, 7, 0,
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7, 0, 5, 4,
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6, -2, 0, 5 };
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Matrix A = Matrix4(valuesA);
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Matrix B = Matrix4(valuesB);
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Matrix C = A * B;
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ASSERT_EQ(C * B.inverse(), A);
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} |