Danny Robson
7b083df977
almost_equal only operates on two reals, or two integers (and even then only on the same signedness).
148 lines
3.4 KiB
C++
148 lines
3.4 KiB
C++
#include "matrix.hpp"
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#include "debug.hpp"
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#include "tap.hpp"
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#include "vector.hpp"
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#include <cstdlib>
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int
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main (void)
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{
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util::TAP::logger tap;
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{
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// Identity matrix-vector multiplication
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auto v = util::vector4f { 1.f, 2.f, 3.f, 4.f };
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auto r = util::matrix4f::IDENTITY * v;
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tap.expect_eq (r, v, "identity matrix-vector multiplication");
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}
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{
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// Simple matrix-vector multiplication
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util::matrix4f m { {
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{ 1, 2, 3, 4 },
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{ 5, 6, 7, 8 },
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{ 9, 10, 11, 12 },
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{ 13, 14, 15, 16 }
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} };
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util::vector<4,float> v { 1.f, 2.f, 3.f, 4.f };
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auto r = m * v;
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tap.expect (
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almost_equal (r.x, 30.f) &&
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almost_equal (r.y, 70.f) &&
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almost_equal (r.z, 110.f) &&
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almost_equal (r.w, 150.f),
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"simple matrix-vector multiplication"
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);
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}
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{
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// Simple matrix-matrix multiplication
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util::matrix4f a { {
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{ 1, 2, 3, 4 },
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{ 5, 6, 7, 8 },
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{ 9, 10, 11, 12 },
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{ 13, 14, 15, 16 },
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} };
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util::matrix4f b { {
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{ 17, 18, 19, 20 },
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{ 21, 22, 23, 24 },
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{ -1, -2, -3, -4 },
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{ -5, -6, -7, -8 }
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} };
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util::matrix4f ab { {
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{ 9, 8, 7, 6 },
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{ 41, 40, 39, 38 },
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{ 73, 72, 71, 70 },
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{ 105, 104, 103, 102 },
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} };
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ab *= 4.f;
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auto res = a * b;
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tap.expect_eq (ab, res, "simple matrix-matrix multiplication");
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}
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{
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bool success = true;
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// Ensure identity inverts to identity
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auto m = util::matrix4f::IDENTITY.inverse ();
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for (size_t r = 0; r < m.rows; ++r)
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for (size_t c = 0; c < m.cols; ++c)
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if (r == c)
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success = success && almost_equal (m.values[r][c], 1.f);
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else
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success = success && almost_equal (m.values[r][c], 0.f);
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tap.expect (success, "identity inversion");
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}
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// Simple 2x2 inversion test
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{
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util::matrix2f m { {
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{ 1, 2 },
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{ 3, 4 }
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} };
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tap.expect_eq (-2.f, m.determinant (), "2x2 determinant");
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util::matrix2f r { {
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{ -4, 2 },
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{ 3, -1 }
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} };
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tap.expect_eq (r / 2.f, m.inverse (), "2x2 inversion");
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}
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// Simple 3x3 inversion test
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{
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util::matrix3f m { {
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{ 3, 1, 2 },
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{ 2, 3, 1 },
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{ 4, 0, 2 }
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} };
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tap.expect_eq (-6.f, m.determinant (), "3x3 determinant");
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util::matrix3f r { {
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{ -6, 2, 5 },
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{ 0, 2, -1 },
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{ 12, -4, -7 }
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} };
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tap.expect_eq (m.inverse (), r / 6.f, "3x3 inversion");
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}
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// Simple 4x4 inversion test
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{
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util::matrix4f m { {
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{ 4, 1, 2, 3 },
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{ 2, 3, 4, 1 },
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{ 3, 4, 1, 2 },
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{ 1, 2, 3, 4 }
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} };
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tap.expect_eq (-160.f, m.determinant (), "4x4 determinant");
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util::matrix4f r { {
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{ 11, 1, 1, -9 },
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{ -9, 1, 11, 1 },
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{ 1, 11, -9, 1 },
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{ 1, -9, 1, 11 }
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} };
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tap.expect_eq (m.inverse (), r / 40.f, "4x4 inversion");
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}
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return tap.status ();
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}
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