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magnum/src/Math/Test/Matrix4Test.cpp

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/*
Copyright © 2010, 2011, 2012 Vladimír Vondruš <mosra@centrum.cz>
This file is part of Magnum.
Magnum is free software: you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License version 3
only, as published by the Free Software Foundation.
Magnum is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License version 3 for more details.
*/
#include <sstream>
#include <TestSuite/Tester.h>
#include <Utility/Configuration.h>
#include "Math/Matrix4.h"
namespace Magnum { namespace Math { namespace Test {
class Matrix4Test: public Corrade::TestSuite::Tester {
public:
Matrix4Test();
void construct();
void constructIdentity();
void constructZero();
void constructConversion();
void constructCopy();
void translation();
void scaling();
void rotation();
void rotationX();
void rotationY();
void rotationZ();
void reflection();
void orthographicProjection();
void perspectiveProjection();
void perspectiveProjectionFov();
void fromParts();
void rotationScalingPart();
void rotationPart();
void vectorParts();
void invertedEuclidean();
void transform();
void debug();
void configuration();
};
typedef Math::Deg<Float> Deg;
typedef Math::Rad<Float> Rad;
typedef Math::Matrix4<Float> Matrix4;
typedef Math::Matrix4<Int> Matrix4i;
typedef Math::Matrix<3, Float> Matrix3;
typedef Math::Vector3<Float> Vector3;
Matrix4Test::Matrix4Test() {
addTests({&Matrix4Test::construct,
&Matrix4Test::constructIdentity,
&Matrix4Test::constructZero,
&Matrix4Test::constructConversion,
&Matrix4Test::constructCopy,
&Matrix4Test::translation,
&Matrix4Test::scaling,
&Matrix4Test::rotation,
&Matrix4Test::rotationX,
&Matrix4Test::rotationY,
&Matrix4Test::rotationZ,
&Matrix4Test::reflection,
&Matrix4Test::orthographicProjection,
&Matrix4Test::perspectiveProjection,
&Matrix4Test::perspectiveProjectionFov,
&Matrix4Test::fromParts,
&Matrix4Test::rotationScalingPart,
&Matrix4Test::rotationPart,
&Matrix4Test::vectorParts,
&Matrix4Test::invertedEuclidean,
&Matrix4Test::transform,
&Matrix4Test::debug,
&Matrix4Test::configuration});
}
void Matrix4Test::construct() {
constexpr Matrix4 a({3.0f, 5.0f, 8.0f, -3.0f},
{4.5f, 4.0f, 7.0f, 2.0f},
{1.0f, 2.0f, 3.0f, -1.0f},
{7.9f, -1.0f, 8.0f, -1.5f});
CORRADE_COMPARE(a, Matrix4({3.0f, 5.0f, 8.0f, -3.0f},
{4.5f, 4.0f, 7.0f, 2.0f},
{1.0f, 2.0f, 3.0f, -1.0f},
{7.9f, -1.0f, 8.0f, -1.5f}));
}
void Matrix4Test::constructIdentity() {
constexpr Matrix4 identity;
constexpr Matrix4 identity2(Matrix4::Identity);
constexpr Matrix4 identity3(Matrix4::Identity, 4.0f);
Matrix4 identityExpected({1.0f, 0.0f, 0.0f, 0.0f},
{0.0f, 1.0f, 0.0f, 0.0f},
{0.0f, 0.0f, 1.0f, 0.0f},
{0.0f, 0.0f, 0.0f, 1.0f});
Matrix4 identity3Expected({4.0f, 0.0f, 0.0f, 0.0f},
{0.0f, 4.0f, 0.0f, 0.0f},
{0.0f, 0.0f, 4.0f, 0.0f},
{0.0f, 0.0f, 0.0f, 4.0f});
CORRADE_COMPARE(identity, identityExpected);
CORRADE_COMPARE(identity2, identityExpected);
CORRADE_COMPARE(identity3, identity3Expected);
}
void Matrix4Test::constructZero() {
/* Zero constructor */
constexpr Matrix4 a(Matrix4::Zero);
CORRADE_COMPARE(a, Matrix4({0.0f, 0.0f, 0.0f, 0.0f},
{0.0f, 0.0f, 0.0f, 0.0f},
{0.0f, 0.0f, 0.0f, 0.0f},
{0.0f, 0.0f, 0.0f, 0.0f}));
}
void Matrix4Test::constructConversion() {
constexpr Matrix4 a({3.0f, 5.0f, 8.0f, -3.0f},
{4.5f, 4.0f, 7.0f, 2.0f},
{1.0f, 2.0f, 3.0f, -1.0f},
{7.9f, -1.0f, 8.0f, -1.5f});
#ifndef CORRADE_GCC46_COMPATIBILITY
constexpr Matrix4i b(a);
#else
Matrix4i b(a); /* Not constexpr under GCC < 4.7 */
#endif
CORRADE_COMPARE(b, Matrix4i({3, 5, 8, -3},
{4, 4, 7, 2},
{1, 2, 3, -1},
{7, -1, 8, -1}));
}
void Matrix4Test::constructCopy() {
constexpr Matrix4 a({3.0f, 5.0f, 8.0f, -3.0f},
{4.5f, 4.0f, 7.0f, 2.0f},
{1.0f, 2.0f, 3.0f, -1.0f},
{7.9f, -1.0f, 8.0f, -1.5f});
constexpr Matrix4 b(a);
CORRADE_COMPARE(b, Matrix4({3.0f, 5.0f, 8.0f, -3.0f},
{4.5f, 4.0f, 7.0f, 2.0f},
{1.0f, 2.0f, 3.0f, -1.0f},
{7.9f, -1.0f, 8.0f, -1.5f}));
}
void Matrix4Test::translation() {
constexpr Matrix4 a = Matrix4::translation({3.0f, 1.0f, 2.0f});
CORRADE_COMPARE(a, Matrix4({1.0f, 0.0f, 0.0f, 0.0f},
{0.0f, 1.0f, 0.0f, 0.0f},
{0.0f, 0.0f, 1.0f, 0.0f},
{3.0f, 1.0f, 2.0f, 1.0f}));
}
void Matrix4Test::scaling() {
constexpr Matrix4 a = Matrix4::scaling({3.0f, 1.5f, 2.0f});
CORRADE_COMPARE(a, Matrix4({3.0f, 0.0f, 0.0f, 0.0f},
{0.0f, 1.5f, 0.0f, 0.0f},
{0.0f, 0.0f, 2.0f, 0.0f},
{0.0f, 0.0f, 0.0f, 1.0f}));
}
void Matrix4Test::rotation() {
std::ostringstream o;
Error::setOutput(&o);
CORRADE_COMPARE(Matrix4::rotation(Deg(-74.0f), {-1.0f, 2.0f, 2.0f}), Matrix4());
CORRADE_COMPARE(o.str(), "Math::Matrix4::rotation(): axis must be normalized\n");
Matrix4 matrix({ 0.35612214f, -0.80181062f, 0.47987163f, 0.0f},
{ 0.47987163f, 0.59757638f, 0.6423595f, 0.0f},
{-0.80181062f, 0.0015183985f, 0.59757638f, 0.0f},
{ 0.0f, 0.0f, 0.0f, 1.0f});
CORRADE_COMPARE(Matrix4::rotation(Deg(-74.0f), Vector3(-1.0f, 2.0f, 2.0f).normalized()), matrix);
}
void Matrix4Test::rotationX() {
Matrix4 matrix({1.0f, 0.0f, 0.0f, 0.0f},
{0.0f, 0.90096887f, 0.43388374f, 0.0f},
{0.0f, -0.43388374f, 0.90096887f, 0.0f},
{0.0f, 0.0f, 0.0f, 1.0f});
CORRADE_COMPARE(Matrix4::rotation(Rad(Math::Constants<Float>::pi()/7), Vector3::xAxis()), matrix);
CORRADE_COMPARE(Matrix4::rotationX(Rad(Math::Constants<Float>::pi()/7)), matrix);
}
void Matrix4Test::rotationY() {
Matrix4 matrix({0.90096887f, 0.0f, -0.43388374f, 0.0f},
{ 0.0f, 1.0f, 0.0f, 0.0f},
{0.43388374f, 0.0f, 0.90096887f, 0.0f},
{ 0.0f, 0.0f, 0.0f, 1.0f});
CORRADE_COMPARE(Matrix4::rotation(Rad(Math::Constants<Float>::pi()/7), Vector3::yAxis()), matrix);
CORRADE_COMPARE(Matrix4::rotationY(Rad(Math::Constants<Float>::pi()/7)), matrix);
}
void Matrix4Test::rotationZ() {
Matrix4 matrix({ 0.90096887f, 0.43388374f, 0.0f, 0.0f},
{-0.43388374f, 0.90096887f, 0.0f, 0.0f},
{ 0.0f, 0.0f, 1.0f, 0.0f},
{ 0.0f, 0.0f, 0.0f, 1.0f});
CORRADE_COMPARE(Matrix4::rotation(Rad(Math::Constants<Float>::pi()/7), Vector3::zAxis()), matrix);
CORRADE_COMPARE(Matrix4::rotationZ(Rad(Math::Constants<Float>::pi()/7)), matrix);
}
void Matrix4Test::reflection() {
std::ostringstream o;
Error::setOutput(&o);
Vector3 normal(-1.0f, 2.0f, 2.0f);
CORRADE_COMPARE(Matrix4::reflection(normal), Matrix4());
CORRADE_COMPARE(o.str(), "Math::Matrix4::reflection(): normal must be normalized\n");
Matrix4 actual = Matrix4::reflection(normal.normalized());
Matrix4 expected({0.777778f, 0.444444f, 0.444444f, 0.0f},
{0.444444f, 0.111111f, -0.888889f, 0.0f},
{0.444444f, -0.888889f, 0.111111f, 0.0f},
{ 0.0f, 0.0f, 0.0f, 1.0f});
CORRADE_COMPARE(actual*actual, Matrix4());
CORRADE_COMPARE(actual.transformVector(normal), -normal);
CORRADE_COMPARE(actual, expected);
}
void Matrix4Test::orthographicProjection() {
Matrix4 expected({0.4f, 0.0f, 0.0f, 0.0f},
{0.0f, 0.5f, 0.0f, 0.0f},
{0.0f, 0.0f, -0.25f, 0.0f},
{0.0f, 0.0f, -1.25f, 1.0f});
CORRADE_COMPARE(Matrix4::orthographicProjection({5.0f, 4.0f}, 1, 9), expected);
}
void Matrix4Test::perspectiveProjection() {
Matrix4 expected({4.0f, 0.0f, 0.0f, 0.0f},
{0.0f, 7.111111f, 0.0f, 0.0f},
{0.0f, 0.0f, -1.9411764f, -1.0f},
{0.0f, 0.0f, -94.1176452f, 0.0f});
CORRADE_COMPARE(Matrix4::perspectiveProjection({16.0f, 9.0f}, 32.0f, 100), expected);
}
void Matrix4Test::perspectiveProjectionFov() {
Matrix4 expected({4.1652994f, 0.0f, 0.0f, 0.0f},
{ 0.0f, 9.788454f, 0.0f, 0.0f},
{ 0.0f, 0.0f, -1.9411764f, -1.0f},
{ 0.0f, 0.0f, -94.1176452f, 0.0f});
CORRADE_COMPARE(Matrix4::perspectiveProjection(Deg(27.0f), 2.35f, 32.0f, 100), expected);
}
void Matrix4Test::fromParts() {
constexpr Matrix3 rotationScaling(Vector3(3.0f, 5.0f, 8.0f),
Vector3(4.0f, 4.0f, 7.0f),
Vector3(7.0f, -1.0f, 8.0f));
constexpr Vector3 translation(9.0f, 4.0f, 5.0f);
constexpr Matrix4 a = Matrix4::from(rotationScaling, translation);
CORRADE_COMPARE(a, Matrix4({3.0f, 5.0f, 8.0f, 0.0f},
{4.0f, 4.0f, 7.0f, 0.0f},
{7.0f, -1.0f, 8.0f, 0.0f},
{9.0f, 4.0f, 5.0f, 1.0f}));
}
void Matrix4Test::rotationScalingPart() {
constexpr Matrix4 a({3.0f, 5.0f, 8.0f, 4.0f},
{4.0f, 4.0f, 7.0f, 3.0f},
{7.0f, -1.0f, 8.0f, 0.0f},
{9.0f, 4.0f, 5.0f, 9.0f});
constexpr Matrix3 b = a.rotationScaling();
CORRADE_COMPARE(b, Matrix3(Vector3(3.0f, 5.0f, 8.0f),
Vector3(4.0f, 4.0f, 7.0f),
Vector3(7.0f, -1.0f, 8.0f)));
}
void Matrix4Test::rotationPart() {
Matrix4 rotation = Matrix4::rotation(Deg(-74.0f), Vector3(-1.0f, 2.0f, 2.0f).normalized());
Matrix3 expectedRotationPart(Vector3( 0.35612214f, -0.80181062f, 0.47987163f),
Vector3( 0.47987163f, 0.59757638f, 0.6423595f),
Vector3(-0.80181062f, 0.0015183985f, 0.59757638f));
/* For rotation and translation this is the same as rotationScaling() */
Matrix4 rotationTranslation = rotation*Matrix4::translation({2.0f, 5.0f, -3.0f});
Matrix3 rotationTranslationPart = rotationTranslation.rotation();
CORRADE_COMPARE(rotationTranslationPart, rotationTranslation.rotationScaling());
CORRADE_COMPARE(rotationTranslationPart, expectedRotationPart);
/* Test uniform scaling */
Matrix4 rotationScaling = rotation*Matrix4::scaling(Vector3(9.0f));
Matrix3 rotationScalingPart = rotationScaling.rotation();
CORRADE_COMPARE(rotationScalingPart.determinant(), 1.0f);
CORRADE_COMPARE(rotationScalingPart*rotationScalingPart.transposed(), Matrix3());
CORRADE_COMPARE(rotationScalingPart, expectedRotationPart);
/* Fails on non-uniform scaling */
{
CORRADE_EXPECT_FAIL("Assertion on uniform scaling is not implemented yet.");
std::ostringstream o;
Error::setOutput(&o);
Matrix4 rotationScaling2 = rotation*Matrix4::scaling(Vector3::yScale(3.5f));
CORRADE_COMPARE(o.str(), "Math::Matrix4::rotation(): the matrix doesn't have uniform scaling\n");
CORRADE_COMPARE(rotationScaling2, Matrix4(Matrix4::Zero));
}
}
void Matrix4Test::vectorParts() {
constexpr Matrix4 a({-1.0f, 0.0f, 0.0f, 0.0f},
{ 0.0f, 12.0f, 0.0f, 0.0f},
{ 0.0f, 0.0f, 35.0f, 0.0f},
{-5.0f, 12.0f, 0.5f, 1.0f});
constexpr Vector3 right = a.right();
constexpr Vector3 up = a.up();
constexpr Vector3 backward = a.backward();
constexpr Vector3 translation = a.translation();
CORRADE_COMPARE(right, Vector3::xAxis(-1.0f));
CORRADE_COMPARE(up, Vector3::yAxis(12.0f));
CORRADE_COMPARE(backward, Vector3::zAxis(35.0f));
CORRADE_COMPARE(translation, Vector3(-5.0f, 12.0f, 0.5f));
}
void Matrix4Test::invertedEuclidean() {
std::ostringstream o;
Error::setOutput(&o);
Matrix4 m({3.0f, 5.0f, 8.0f, 4.0f},
{4.0f, 4.0f, 7.0f, 3.0f},
{7.0f, -1.0f, 8.0f, 0.0f},
{9.0f, 4.0f, 5.0f, 9.0f});
CORRADE_COMPARE(m.invertedEuclidean(), Matrix4());
CORRADE_COMPARE(o.str(), "Math::Matrix4::invertedEuclidean(): unexpected values on last row\n");
o.str({});
CORRADE_COMPARE(Matrix4::scaling(Vector3(2.0f)).invertedEuclidean(), Matrix4());
CORRADE_COMPARE(o.str(), "Math::Matrix4::invertedEuclidean(): the matrix doesn't represent Euclidean transformation\n");
Matrix4 actual = Matrix4::rotation(Deg(-74.0f), Vector3(-1.0f, 0.5f, 2.0f).normalized())*
Matrix4::reflection(Vector3(0.5f, -2.0f, 2.0f).normalized())*
Matrix4::translation({1.0f, 2.0f, -3.0f});
Matrix4 expected = Matrix4::translation({-1.0f, -2.0f, 3.0f})*
Matrix4::reflection(Vector3(0.5f, -2.0f, 2.0f).normalized())*
Matrix4::rotation(Deg(74.0f), Vector3(-1.0f, 0.5f, 2.0f).normalized());
CORRADE_COMPARE(actual.invertedEuclidean(), expected);
CORRADE_COMPARE(actual.invertedEuclidean(), actual.inverted());
}
void Matrix4Test::transform() {
Matrix4 a = Matrix4::translation({1.0f, -5.0f, 3.5f})*Matrix4::rotation(Deg(90.0f), Vector3::zAxis());
Vector3 v(1.0f, -2.0f, 5.5f);
CORRADE_COMPARE(a.transformVector(v), Vector3(2.0f, 1.0f, 5.5f));
CORRADE_COMPARE(a.transformPoint(v), Vector3(3.0f, -4.0f, 9.0f));
}
void Matrix4Test::debug() {
Matrix4 m({3.0f, 5.0f, 8.0f, 4.0f},
{4.0f, 4.0f, 7.0f, 3.0f},
{7.0f, -1.0f, 8.0f, 0.0f},
{9.0f, 4.0f, 5.0f, 9.0f});
std::ostringstream o;
Debug(&o) << m;
CORRADE_COMPARE(o.str(), "Matrix(3, 4, 7, 9,\n"
" 5, 4, -1, 4,\n"
" 8, 7, 8, 5,\n"
" 4, 3, 0, 9)\n");
}
void Matrix4Test::configuration() {
Corrade::Utility::Configuration c;
Matrix4 m({3.0f, 5.0f, 8.0f, 4.0f},
{4.0f, 4.0f, 7.0f, 3.125f},
{7.0f, -1.0f, 8.0f, 0.0f},
{9.0f, 4.0f, 5.0f, 9.55f});
std::string value("3 4 7 9 5 4 -1 4 8 7 8 5 4 3.125 0 9.55");
c.setValue("matrix", m);
CORRADE_COMPARE(c.value("matrix"), value);
CORRADE_COMPARE(c.value<Matrix4>("matrix"), m);
}
}}}
CORRADE_TEST_MAIN(Magnum::Math::Test::Matrix4Test)