133 lines
4.0 KiB
C++
133 lines
4.0 KiB
C++
#include "../debug.hpp"
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#include "../matrix.hpp"
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#include "../maths.hpp"
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#include <iostream>
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#include <cmath>
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using namespace maths;
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using namespace std;
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std::ostream&
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operator <<(std::ostream &os, const matrix &m) {
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for (unsigned int i = 0; i < m.rows (); ++i) {
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for (unsigned int j = 0; j < m.columns (); ++j) {
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os << m[i][j];
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if (j != m.columns () - 1)
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os << ", ";
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}
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if (i != m.rows () - 1)
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os << "\n";
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}
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return os;
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}
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void
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test_zeroes (const matrix &m) {
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assert (m.rows ());
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assert (m.columns ());
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for (unsigned int i = 0; i < m.rows (); ++i)
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for (unsigned int j = 0; j < m.columns (); ++j)
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check_hard (almost_equal (m[i][j], 0.0));
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}
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void
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test_identity (const matrix &m) {
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assert (m.rows () == m.columns ());
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for (unsigned int i = 0; i < m.rows (); ++i)
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for (unsigned int j = 0; j < m.columns (); ++j)
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if (i == j)
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check_hard (almost_equal (m[i][j], 1.0));
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else
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check_hard (almost_equal (m[i][j], 0.0));
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}
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int
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main (int, char **) {
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for (unsigned int i = 1; i < 10; ++i) {
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test_zeroes (matrix::zeroes (i));
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test_identity (matrix::identity (i));
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}
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for (unsigned int i = 3; i < 10; i += 2)
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check (matrix::magic (i).is_magic ());
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// Create a small matrix with unique element values for comparison tests.
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// This should be non-square so that row- vs. column-major problems can
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// be seen.
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matrix a4x2 (4, 2, { 0, 1,
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2, 3,
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4, 5,
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6, 7 });
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check_eq (a4x2, a4x2);
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// Test that copy constructors work correctly. Keep this value around so
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// that we can check the following operators don't modify the original
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// value.
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check_eq (a4x2, matrix(a4x2));
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// Check multiplication by identity results in the original value.
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check_eq (a4x2, a4x2 * matrix::identity (a4x2.columns ()));
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matrix seq2x2(2, 2, { 1, 2, 3, 4 });
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matrix magic3(3, 3, { 2, 7, 6,
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9, 5, 1,
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4, 3, 8 });
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matrix magic4(4, 4, { 16, 2, 3, 13,
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5, 11, 10, 8,
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9, 7, 6, 12,
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4, 14, 15, 1 });
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check_eq (magic3[0][0], 2.0);
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check_eq (magic3[0][1], 7.0);
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check_eq (magic3[0][2], 6.0);
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check_eq (magic3[1][0], 9.0);
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check_eq (magic3[1][1], 5.0);
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check_eq (magic3[1][2], 1.0);
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check_eq (magic3[2][0], 4.0);
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check_eq (magic3[2][1], 3.0);
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check_eq (magic3[2][2], 8.0);
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check_eq (seq2x2.determinant (), -2.0);
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check_eq (magic3.determinant (), -360.0);
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check_hard ( seq2x2.is_square ());
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check_hard ( magic3.is_square ());
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check_hard (! a4x2.is_square ());
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check_eq (seq2x2.inverse (), matrix (2, 2, { -2.0, 1.0,
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1.5, -0.5 }));
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check_eq (magic3.inverse (), matrix (3, 3, { -37.0, 38.0, 23.0,
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68.0, 8.0, -52.0,
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- 7.0, -22.0, 53.0 }) /= 360.0);
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matrix invertible4 (4, 4, { 4, 14, 15, 1,
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9, 7, 6, 12,
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5, 11, 10, 8,
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0, 0, 0, 1 });
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check_eq (invertible4.inverse (), matrix (4, 4, { 4, 25, -21, -136,
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-60, -35, 111, -408,
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64, 26, -98, 408,
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0, 0, 0, 136 }) /= 136);
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const matrix homo3x3 (3, 3, { 1, 2, 0,
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3, 4, 0,
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0, 0, 1 });
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check_hard (homo3x3.is_homogeneous ());
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check_hard (!matrix::zeroes (3).is_homogeneous ());
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check_hard ( matrix::identity (3).is_homogeneous ());
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check_hard (invertible4.is_homogeneous ());
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return EXIT_SUCCESS;
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}
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