affine: add perspective matrix test cases
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561925b201
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@ -5,6 +5,7 @@
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#include "quaternion.hpp"
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#include "coord/iostream.hpp"
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#include "matrix.hpp"
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#include <array>
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@ -53,6 +54,97 @@ test_matrix_identities (util::TAP::logger &tap)
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}
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///////////////////////////////////////////////////////////////////////////////
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void
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test_perspective (util::TAP::logger &tap)
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{
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static const struct {
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float w, h;
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float near, far;
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float fov;
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float a, b, c, d;
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} TESTS[] = {
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{ 1.f, 1.f, 1.f, 100.f, 45.f, 2.414213419f, 2.414213419f, -1.020202041f, -2.020201921f },
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{ 1.f, 1.f, 1.f, 100.f, 60.f, 1.732050776f, 1.732050776f, -1.020202041f, -2.020201921f },
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{ 1.f, 1.f, 1.f, 100.f, 90.f, 1.000000000f, 1.000000000f, -1.020202041f, -2.020201921f },
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{ 1.f, 1.f, 1.f, 100.f, 120.f, 0.577350199f, 0.577350199f, -1.020202041f, -2.020201921f },
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{ 1.f, 1.f, 1e-08f, 1e+08f, 45.f, 2.414213419f, 2.414213419f, -1.000000000f, -0.000000020f },
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{ 1.f, 1.f, 1e-08f, 1e+08f, 60.f, 1.732050776f, 1.732050776f, -1.000000000f, -0.000000020f },
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{ 1.f, 1.f, 1e-08f, 1e+08f, 90.f, 1.000000000f, 1.000000000f, -1.000000000f, -0.000000020f },
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{ 1.f, 1.f, 1e-08f, 1e+08f, 120.f, 0.577350199f, 0.577350199f, -1.000000000f, -0.000000020f },
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{ 1.f, 1.f, 0.01f, 1000.f, 45.f, 2.414213419f, 2.414213419f, -1.000020027f, -0.020000201f },
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{ 1.f, 1.f, 0.01f, 1000.f, 60.f, 1.732050776f, 1.732050776f, -1.000020027f, -0.020000201f },
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{ 1.f, 1.f, 0.01f, 1000.f, 90.f, 1.000000000f, 1.000000000f, -1.000020027f, -0.020000201f },
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{ 1.f, 1.f, 0.01f, 1000.f, 120.f, 0.577350199f, 0.577350199f, -1.000020027f, -0.020000201f },
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{ 4.f, 3.f, 1.f, 100.f, 45.f, 1.810660124f, 2.414213419f, -1.020202041f, -2.020201921f },
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{ 4.f, 3.f, 1.f, 100.f, 60.f, 1.299038053f, 1.732050776f, -1.020202041f, -2.020201921f },
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{ 4.f, 3.f, 1.f, 100.f, 90.f, 0.750000000f, 1.000000000f, -1.020202041f, -2.020201921f },
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{ 4.f, 3.f, 1.f, 100.f, 120.f, 0.433012664f, 0.577350199f, -1.020202041f, -2.020201921f },
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{ 4.f, 3.f, 1e-08f, 1e+08f, 45.f, 1.810660124f, 2.414213419f, -1.000000000f, -0.000000020f },
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{ 4.f, 3.f, 1e-08f, 1e+08f, 60.f, 1.299038053f, 1.732050776f, -1.000000000f, -0.000000020f },
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{ 4.f, 3.f, 1e-08f, 1e+08f, 90.f, 0.750000000f, 1.000000000f, -1.000000000f, -0.000000020f },
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{ 4.f, 3.f, 1e-08f, 1e+08f, 120.f, 0.433012664f, 0.577350199f, -1.000000000f, -0.000000020f },
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{ 4.f, 3.f, 0.01f, 1000.f, 45.f, 1.810660124f, 2.414213419f, -1.000020027f, -0.020000201f },
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{ 4.f, 3.f, 0.01f, 1000.f, 60.f, 1.299038053f, 1.732050776f, -1.000020027f, -0.020000201f },
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{ 4.f, 3.f, 0.01f, 1000.f, 90.f, 0.750000000f, 1.000000000f, -1.000020027f, -0.020000201f },
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{ 4.f, 3.f, 0.01f, 1000.f, 120.f, 0.433012664f, 0.577350199f, -1.000020027f, -0.020000201f },
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{ 16.f, 9.f, 1.f, 100.f, 45.f, 1.357995033f, 2.414213419f, -1.020202041f, -2.020201921f },
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{ 16.f, 9.f, 1.f, 100.f, 60.f, 0.974278569f, 1.732050776f, -1.020202041f, -2.020201921f },
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{ 16.f, 9.f, 1.f, 100.f, 90.f, 0.562500000f, 1.000000000f, -1.020202041f, -2.020201921f },
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{ 16.f, 9.f, 1.f, 100.f, 120.f, 0.324759483f, 0.577350199f, -1.020202041f, -2.020201921f },
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{ 16.f, 9.f, 1e-08f, 1e+08f, 45.f, 1.357995033f, 2.414213419f, -1.000000000f, -0.000000020f },
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{ 16.f, 9.f, 1e-08f, 1e+08f, 60.f, 0.974278569f, 1.732050776f, -1.000000000f, -0.000000020f },
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{ 16.f, 9.f, 1e-08f, 1e+08f, 90.f, 0.562500000f, 1.000000000f, -1.000000000f, -0.000000020f },
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{ 16.f, 9.f, 1e-08f, 1e+08f, 120.f, 0.324759483f, 0.577350199f, -1.000000000f, -0.000000020f },
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{ 16.f, 9.f, 0.01f, 1000.f, 45.f, 1.357995033f, 2.414213419f, -1.000020027f, -0.020000201f },
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{ 16.f, 9.f, 0.01f, 1000.f, 60.f, 0.974278569f, 1.732050776f, -1.000020027f, -0.020000201f },
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{ 16.f, 9.f, 0.01f, 1000.f, 90.f, 0.562500000f, 1.000000000f, -1.000020027f, -0.020000201f },
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{ 16.f, 9.f, 0.01f, 1000.f, 120.f, 0.324759483f, 0.577350199f, -1.000020027f, -0.020000201f },
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{ 16.f, 10.f, 1.f, 100.f, 45.f, 1.508883357f, 2.414213419f, -1.020202041f, -2.020201921f },
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{ 16.f, 10.f, 1.f, 100.f, 60.f, 1.082531691f, 1.732050776f, -1.020202041f, -2.020201921f },
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{ 16.f, 10.f, 1.f, 100.f, 90.f, 0.625000000f, 1.000000000f, -1.020202041f, -2.020201921f },
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{ 16.f, 10.f, 1.f, 100.f, 120.f, 0.360843867f, 0.577350199f, -1.020202041f, -2.020201921f },
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{ 16.f, 10.f, 1e-08f, 1e+08f, 45.f, 1.508883357f, 2.414213419f, -1.000000000f, -0.000000020f },
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{ 16.f, 10.f, 1e-08f, 1e+08f, 60.f, 1.082531691f, 1.732050776f, -1.000000000f, -0.000000020f },
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{ 16.f, 10.f, 1e-08f, 1e+08f, 90.f, 0.625000000f, 1.000000000f, -1.000000000f, -0.000000020f },
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{ 16.f, 10.f, 1e-08f, 1e+08f, 120.f, 0.360843867f, 0.577350199f, -1.000000000f, -0.000000020f },
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{ 16.f, 10.f, 0.01f, 1000.f, 45.f, 1.508883357f, 2.414213419f, -1.000020027f, -0.020000201f },
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{ 16.f, 10.f, 0.01f, 1000.f, 60.f, 1.082531691f, 1.732050776f, -1.000020027f, -0.020000201f },
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{ 16.f, 10.f, 0.01f, 1000.f, 90.f, 0.625000000f, 1.000000000f, -1.000020027f, -0.020000201f },
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{ 16.f, 10.f, 0.01f, 1000.f, 120.f, 0.360843867f, 0.577350199f, -1.000020027f, -0.020000201f },
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{ 21.f, 9.f, 1.f, 100.f, 45.f, 1.034662843f, 2.414213419f, -1.020202041f, -2.020201921f },
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{ 21.f, 9.f, 1.f, 100.f, 60.f, 0.742307484f, 1.732050776f, -1.020202041f, -2.020201921f },
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{ 21.f, 9.f, 1.f, 100.f, 90.f, 0.428571433f, 1.000000000f, -1.020202041f, -2.020201921f },
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{ 21.f, 9.f, 1.f, 100.f, 120.f, 0.247435793f, 0.577350199f, -1.020202041f, -2.020201921f },
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{ 21.f, 9.f, 1e-08f, 1e+08f, 45.f, 1.034662843f, 2.414213419f, -1.000000000f, -0.000000020f },
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{ 21.f, 9.f, 1e-08f, 1e+08f, 60.f, 0.742307484f, 1.732050776f, -1.000000000f, -0.000000020f },
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{ 21.f, 9.f, 1e-08f, 1e+08f, 90.f, 0.428571433f, 1.000000000f, -1.000000000f, -0.000000020f },
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{ 21.f, 9.f, 1e-08f, 1e+08f, 120.f, 0.247435793f, 0.577350199f, -1.000000000f, -0.000000020f },
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{ 21.f, 9.f, 0.01f, 1000.f, 45.f, 1.034662843f, 2.414213419f, -1.000020027f, -0.020000201f },
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{ 21.f, 9.f, 0.01f, 1000.f, 60.f, 0.742307484f, 1.732050776f, -1.000020027f, -0.020000201f },
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{ 21.f, 9.f, 0.01f, 1000.f, 90.f, 0.428571433f, 1.000000000f, -1.000020027f, -0.020000201f },
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{ 21.f, 9.f, 0.01f, 1000.f, 120.f, 0.247435793f, 0.577350199f, -1.000020027f, -0.020000201f },
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};
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for (const auto &t: TESTS) {
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util::matrix4f m {0};
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m[0][0] = t.a;
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m[1][1] = t.b;
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m[2][2] = t.c;
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m[2][3] = t.d;
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m[3][2] = -1.f;
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const auto p = util::perspective (util::to_radians (t.fov), t.w / t.h, {t.near, t.far});
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tap.expect (
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util::relatively_equal (m, p, 1e-7f),
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"perspective %!:%!@%!",
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t.w, t.h, t.fov
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);
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}
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}
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///////////////////////////////////////////////////////////////////////////////
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void
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test_mq_axis (util::TAP::logger &tap)
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@ -119,6 +211,7 @@ main (int, char**)
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test_matrix_identities (tap);
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test_mq_axis (tap);
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test_mq_euler (tap);
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test_perspective (tap);
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return tap.status ();
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}
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