ic
/
magnum
mirror of https://github.com/mosra/magnum.git
6
0
Fork 0
Code Issues Projects Releases Wiki Activity
You can not select more than 25 topics Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
4933 Commits
21 Branches
19 Tags
70 MiB
 
 
 
 
 
Tree: 40d60f6a3f
Branches Tags
${ item.name }
Create tag ${ searchTerm }
Create branch ${ searchTerm }
from '40d60f6a3f'
${ noResults }
magnum/src/Magnum/Math/Test/Matrix3Test.cpp

479 lines
17 KiB
Raw Blame History

/*
This file is part of Magnum.
Copyright © 2010, 2011, 2012, 2013, 2014, 2015, 2016
Vladimír Vondruš <mosra@centrum.cz>
Permission is hereby granted, free of charge, to any person obtaining a
copy of this software and associated documentation files (the "Software"),
to deal in the Software without restriction, including without limitation
the rights to use, copy, modify, merge, publish, distribute, sublicense,
and/or sell copies of the Software, and to permit persons to whom the
Software is furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included
in all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
DEALINGS IN THE SOFTWARE.
*/
#include <sstream>
#include <Corrade/TestSuite/Tester.h>
#include <Corrade/Utility/Configuration.h>
#include "Magnum/Math/Matrix3.h"
struct Mat3 {
float a[9];
};
namespace Magnum { namespace Math {
namespace Implementation {
template<> struct RectangularMatrixConverter<3, 3, float, Mat3> {
constexpr static RectangularMatrix<3, 3, Float> from(const Mat3& other) {
return RectangularMatrix<3, 3, Float>(
Vector<3, Float>(other.a[0], other.a[1], other.a[2]),
Vector<3, Float>(other.a[3], other.a[4], other.a[5]),
Vector<3, Float>(other.a[6], other.a[7], other.a[8]));
}
constexpr static Mat3 to(const RectangularMatrix<3, 3, Float>& other) {
return Mat3{{other[0][0], other[0][1], other[0][2],
other[1][0], other[1][1], other[1][2],
other[2][0], other[2][1], other[2][2]}};
}
};
}
namespace Test {
struct Matrix3Test: Corrade::TestSuite::Tester {
explicit Matrix3Test();
void construct();
void constructIdentity();
void constructZero();
void constructNoInit();
void constructConversion();
void constructCopy();
void convert();
void isRigidTransformation();
void translation();
void scaling();
void rotation();
void reflection();
void reflectionIsScaling();
void shearingX();
void shearingY();
void projection();
void fromParts();
void rotationScalingPart();
void rotationNormalizedPart();
void rotationPart();
void uniformScalingPart();
void vectorParts();
void invertedRigid();
void transform();
void debug();
void configuration();
};
typedef Math::Deg<Float> Deg;
typedef Math::Matrix3<Float> Matrix3;
typedef Math::Matrix3<Int> Matrix3i;
typedef Math::Matrix2x2<Float> Matrix2x2;
typedef Math::Vector3<Float> Vector3;
typedef Math::Vector2<Float> Vector2;
Matrix3Test::Matrix3Test() {
addTests({&Matrix3Test::construct,
&Matrix3Test::constructIdentity,
&Matrix3Test::constructZero,
&Matrix3Test::constructNoInit,
&Matrix3Test::constructConversion,
&Matrix3Test::constructCopy,
&Matrix3Test::convert,
&Matrix3Test::isRigidTransformation,
&Matrix3Test::translation,
&Matrix3Test::scaling,
&Matrix3Test::rotation,
&Matrix3Test::reflection,
&Matrix3Test::reflectionIsScaling,
&Matrix3Test::shearingX,
&Matrix3Test::shearingY,
&Matrix3Test::projection,
&Matrix3Test::fromParts,
&Matrix3Test::rotationScalingPart,
&Matrix3Test::rotationNormalizedPart,
&Matrix3Test::rotationPart,
&Matrix3Test::uniformScalingPart,
&Matrix3Test::vectorParts,
&Matrix3Test::invertedRigid,
&Matrix3Test::transform,
&Matrix3Test::debug,
&Matrix3Test::configuration});
}
void Matrix3Test::construct() {
constexpr Matrix3 a = {{3.0f, 5.0f, 8.0f},
{4.5f, 4.0f, 7.0f},
{7.9f, -1.0f, 8.0f}};
CORRADE_COMPARE(a, Matrix3({3.0f, 5.0f, 8.0f},
{4.5f, 4.0f, 7.0f},
{7.9f, -1.0f, 8.0f}));
CORRADE_VERIFY((std::is_nothrow_constructible<Matrix3, Vector3, Vector3, Vector3>::value));
}
void Matrix3Test::constructIdentity() {
constexpr Matrix3 identity;
constexpr Matrix3 identity2{IdentityInit};
constexpr Matrix3 identity3{IdentityInit, 4.0f};
Matrix3 identityExpected({1.0f, 0.0f, 0.0f},
{0.0f, 1.0f, 0.0f},
{0.0f, 0.0f, 1.0f});
Matrix3 identity3Expected({4.0f, 0.0f, 0.0f},
{0.0f, 4.0f, 0.0f},
{0.0f, 0.0f, 4.0f});
CORRADE_COMPARE(identity, identityExpected);
CORRADE_COMPARE(identity2, identityExpected);
CORRADE_COMPARE(identity3, identity3Expected);
CORRADE_VERIFY(std::is_nothrow_default_constructible<Matrix3>::value);
CORRADE_VERIFY((std::is_nothrow_constructible<Matrix3, IdentityInitT>::value));
}
void Matrix3Test::constructZero() {
constexpr Matrix3 a{ZeroInit};
CORRADE_COMPARE(a, Matrix3({0.0f, 0.0f, 0.0f},
{0.0f, 0.0f, 0.0f},
{0.0f, 0.0f, 0.0f}));
CORRADE_VERIFY((std::is_nothrow_constructible<Matrix3, ZeroInitT>::value));
}
void Matrix3Test::constructNoInit() {
Matrix3 a{{3.0f, 5.0f, 8.0f},
{4.5f, 4.0f, 7.0f},
{7.9f, -1.0f, 8.0f}};
new(&a) Matrix3{NoInit};
CORRADE_COMPARE(a, Matrix3({3.0f, 5.0f, 8.0f},
{4.5f, 4.0f, 7.0f},
{7.9f, -1.0f, 8.0f}));
CORRADE_VERIFY((std::is_nothrow_constructible<Matrix3, NoInitT>::value));
}
void Matrix3Test::constructConversion() {
constexpr Matrix3 a({3.0f, 5.0f, 8.0f},
{4.5f, 4.0f, 7.0f},
{7.9f, -1.0f, 8.0f});
constexpr Matrix3i b(a);
CORRADE_COMPARE(b, Matrix3i({3, 5, 8},
{4, 4, 7},
{7, -1, 8}));
/* Implicit conversion is not allowed */
CORRADE_VERIFY(!(std::is_convertible<Matrix3, Matrix3i>::value));
CORRADE_VERIFY((std::is_nothrow_constructible<Matrix3, Matrix3i>::value));
}
void Matrix3Test::constructCopy() {
constexpr RectangularMatrix<3, 3, Float> a(Vector<3, Float>(3.0f, 5.0f, 8.0f),
Vector<3, Float>(4.5f, 4.0f, 7.0f),
Vector<3, Float>(7.9f, -1.0f, 8.0f));
#ifndef CORRADE_MSVC2015_COMPATIBILITY /* Why can't be copy constexpr? */
constexpr
#endif
Matrix3 b(a);
CORRADE_COMPARE(b, Matrix3({3.0f, 5.0f, 8.0f},
{4.5f, 4.0f, 7.0f},
{7.9f, -1.0f, 8.0f}));
CORRADE_VERIFY(std::is_nothrow_copy_constructible<Matrix3>::value);
CORRADE_VERIFY(std::is_nothrow_copy_assignable<Matrix3>::value);
}
void Matrix3Test::convert() {
constexpr Mat3 a{{1.5f, 2.0f, -3.5f,
2.0f, -3.1f, 0.4f,
9.5f, -1.5f, 0.1f}};
constexpr Matrix3 b(Vector3(1.5f, 2.0f, -3.5f),
Vector3(2.0f, -3.1f, 0.4f),
Vector3(9.5f, -1.5f, 0.1f));
constexpr Matrix3 c(b);
CORRADE_COMPARE(c, b);
#ifndef CORRADE_MSVC2015_COMPATIBILITY /* Why can't be conversion constexpr? */
constexpr
#endif
Mat3 d(b);
for(std::size_t i = 0; i != 9; ++i)
CORRADE_COMPARE(d.a[0], a.a[0]);
/* Implicit conversion is not allowed */
CORRADE_VERIFY(!(std::is_convertible<Mat3, Matrix3>::value));
CORRADE_VERIFY(!(std::is_convertible<Matrix3, Mat3>::value));
}
void Matrix3Test::isRigidTransformation() {
CORRADE_VERIFY(!Matrix3({1.0f, 0.0f, 0.0f},
{0.1f, 1.0f, 0.0f},
{5.0f, 4.0f, 1.0f}).isRigidTransformation());
CORRADE_VERIFY(!Matrix3({1.0f, 0.0f, 0.0f},
{0.0f, 1.0f, 1.0f},
{5.0f, 4.0f, 0.0f}).isRigidTransformation());
CORRADE_VERIFY(Matrix3({1.0f, 0.0f, 0.0f},
{0.0f, 1.0f, 0.0f},
{5.0f, 4.0f, 1.0f}).isRigidTransformation());
}
void Matrix3Test::translation() {
constexpr Matrix3 a = Matrix3::translation({3.0f, 1.0f});
CORRADE_COMPARE(a, Matrix3({1.0f, 0.0f, 0.0f},
{0.0f, 1.0f, 0.0f},
{3.0f, 1.0f, 1.0f}));
}
void Matrix3Test::scaling() {
constexpr Matrix3 a = Matrix3::scaling({3.0f, 1.5f});
CORRADE_COMPARE(a, Matrix3({3.0f, 0.0f, 0.0f},
{0.0f, 1.5f, 0.0f},
{0.0f, 0.0f, 1.0f}));
}
void Matrix3Test::rotation() {
Matrix3 matrix({ 0.965926f, 0.258819f, 0.0f},
{-0.258819f, 0.965926f, 0.0f},
{ 0.0f, 0.0f, 1.0f});
CORRADE_COMPARE(Matrix3::rotation(Deg(15.0f)), matrix);
}
void Matrix3Test::reflection() {
std::ostringstream o;
Error redirectError{&o};
Vector2 normal(-1.0f, 2.0f);
CORRADE_COMPARE(Matrix3::reflection(normal), Matrix3());
CORRADE_COMPARE(o.str(), "Math::Matrix3::reflection(): normal must be normalized\n");
Matrix3 actual = Matrix3::reflection(normal.normalized());
Matrix3 expected({0.6f, 0.8f, 0.0f},
{0.8f, -0.6f, 0.0f},
{0.0f, 0.0f, 1.0f});
CORRADE_COMPARE(actual*actual, Matrix3());
CORRADE_COMPARE(actual.transformVector(normal), -normal);
CORRADE_COMPARE(actual, expected);
}
void Matrix3Test::reflectionIsScaling() {
CORRADE_COMPARE(Matrix3::reflection(Vector2::yAxis()), Matrix3::scaling(Vector2::yScale(-1.0f)));
}
void Matrix3Test::shearingX() {
constexpr Matrix3 a = Matrix3::shearingX(3.0f);
CORRADE_COMPARE(a, Matrix3({1.0f, 0.0f, 0.0f},
{3.0f, 1.0f, 0.0f},
{0.0f, 0.0f, 1.0f}));
CORRADE_COMPARE(a.transformPoint(Vector2(1.0f)), Vector2(4.0f, 1.0f));
}
void Matrix3Test::shearingY() {
constexpr Matrix3 a = Matrix3::shearingY(3.0f);
CORRADE_COMPARE(a, Matrix3({1.0f, 3.0f, 0.0f},
{0.0f, 1.0f, 0.0f},
{0.0f, 0.0f, 1.0f}));
CORRADE_COMPARE(a.transformPoint(Vector2(1.0f)), Vector2(1.0f, 4.0f));
}
void Matrix3Test::projection() {
Matrix3 expected({2.0f/4.0f, 0.0f, 0.0f},
{ 0.0f, 2.0f/3.0f, 0.0f},
{ 0.0f, 0.0f, 1.0f});
CORRADE_COMPARE(Matrix3::projection({4.0f, 3.0f}), expected);
}
void Matrix3Test::fromParts() {
constexpr Matrix2x2 rotationScaling(Vector2(3.0f, 5.0f),
Vector2(4.0f, 4.0f));
constexpr Vector2 translation(7.0f, -1.0f);
#ifndef CORRADE_MSVC2015_COMPATIBILITY /* Probably because copy is not constexpr */
constexpr
#endif
Matrix3 a = Matrix3::from(rotationScaling, translation);
CORRADE_COMPARE(a, Matrix3({3.0f, 5.0f, 0.0f},
{4.0f, 4.0f, 0.0f},
{7.0f, -1.0f, 1.0f}));
}
void Matrix3Test::rotationScalingPart() {
constexpr Matrix3 a({3.0f, 5.0f, 8.0f},
{4.0f, 4.0f, 7.0f},
{7.0f, -1.0f, 8.0f});
#ifndef CORRADE_MSVC2015_COMPATIBILITY /* Probably because copy is not constexpr */
constexpr
#endif
Matrix2x2 b = a.rotationScaling();
CORRADE_COMPARE(b, Matrix2x2(Vector2(3.0f, 5.0f),
Vector2(4.0f, 4.0f)));
}
void Matrix3Test::rotationNormalizedPart() {
std::ostringstream o;
Error redirectError{&o};
Matrix3 a({1.0f, 0.0f, 8.0f},
{1.0f, 0.1f, 7.0f},
{7.0f, -1.0f, 8.0f});
a.rotationNormalized();
CORRADE_COMPARE(o.str(), "Math::Matrix3::rotationNormalized(): the rotation part is not normalized\n");
Matrix3 b({ 0.965926f, 0.258819f, 1.0f},
{-0.258819f, 0.965926f, 3.0f},
{ 0.0f, 0.0f, 1.0f});
CORRADE_COMPARE(b.rotationNormalized(), Matrix2x2(Vector2( 0.965926f, 0.258819f),
Vector2(-0.258819f, 0.965926f)));
}
void Matrix3Test::rotationPart() {
Matrix3 rotation = Matrix3::rotation(Deg(15.0f));
Matrix2x2 expectedRotationPart(Vector2( 0.965926f, 0.258819f),
Vector2(-0.258819f, 0.965926f));
/* For rotation and translation this is the same as rotationScaling() */
Matrix3 rotationTranslation = rotation*Matrix3::translation({2.0f, 5.0f});
Matrix2x2 rotationTranslationPart = rotationTranslation.rotation();
CORRADE_COMPARE(rotationTranslationPart, rotationTranslation.rotationScaling());
CORRADE_COMPARE(rotationTranslationPart, expectedRotationPart);
/* Test uniform scaling */
Matrix3 rotationScaling = rotation*Matrix3::scaling(Vector2(3.0f));
Matrix2x2 rotationScalingPart = rotationScaling.rotation();
CORRADE_COMPARE(rotationScalingPart.determinant(), 1.0f);
CORRADE_COMPARE(rotationScalingPart*rotationScalingPart.transposed(), Matrix2x2());
CORRADE_COMPARE(rotationScalingPart, expectedRotationPart);
/* Fails on non-uniform scaling */
std::ostringstream o;
Error redirectError{&o};
Matrix2x2 rotationScaling2 = (rotation*Matrix3::scaling(Vector2::yScale(3.5f))).rotation();
CORRADE_COMPARE(o.str(), "Math::Matrix3::rotation(): the matrix doesn't have uniform scaling\n");
CORRADE_COMPARE(rotationScaling2, Matrix2x2());
}
void Matrix3Test::uniformScalingPart() {
const Matrix3 rotation = Matrix3::rotation(Deg(-74.0f));
/* Test uniform scaling */
CORRADE_COMPARE((rotation*Matrix3::scaling(Vector2(3.0f))).uniformScaling(), 3.0f);
/* Fails on non-uniform scaling */
std::ostringstream o;
Error redirectError{&o};
const Float nonUniformScaling = (rotation*Matrix3::scaling(Vector2::yScale(3.0f))).uniformScaling();
CORRADE_COMPARE(o.str(), "Math::Matrix3::uniformScaling(): the matrix doesn't have uniform scaling\n");
CORRADE_COMPARE(nonUniformScaling, 0.0f);
}
void Matrix3Test::vectorParts() {
constexpr Matrix3 a({15.0f, 0.0f, 0.0f},
{ 0.0f, -3.0f, 0.0f},
{-5.0f, 12.0f, 1.0f});
#ifndef CORRADE_MSVC2015_COMPATIBILITY /* Probably because copy is not constexpr */
constexpr
#endif
Vector2 right = a.right();
#ifndef CORRADE_MSVC2015_COMPATIBILITY /* Probably because copy is not constexpr */
constexpr
#endif
Vector2 up = a.up();
#ifndef CORRADE_MSVC2015_COMPATIBILITY /* Probably because copy is not constexpr */
constexpr
#endif
Vector2 translation = a.translation();
CORRADE_COMPARE(right, Vector2::xAxis(15.0f));
CORRADE_COMPARE(up, Vector2::yAxis(-3.0f));
CORRADE_COMPARE(translation, Vector2(-5.0f, 12.0f));
}
void Matrix3Test::invertedRigid() {
Matrix3 actual = Matrix3::rotation(Deg(-74.0f))*
Matrix3::reflection(Vector2(0.5f, -2.0f).normalized())*
Matrix3::translation({2.0f, -3.0f});
Matrix3 expected = Matrix3::translation({-2.0f, 3.0f})*
Matrix3::reflection(Vector2(0.5f, -2.0f).normalized())*
Matrix3::rotation(Deg(74.0f));
std::ostringstream o;
Error redirectError{&o};
(2*actual).invertedRigid();
CORRADE_COMPARE(o.str(), "Math::Matrix3::invertedRigid(): the matrix doesn't represent rigid transformation\n");
CORRADE_COMPARE(actual.invertedRigid(), expected);
CORRADE_COMPARE(actual.invertedRigid(), actual.inverted());
}
void Matrix3Test::transform() {
Matrix3 a = Matrix3::translation({1.0f, -5.0f})*Matrix3::rotation(Deg(90.0f));
Vector2 v(1.0f, -2.0f);
CORRADE_COMPARE(a.transformVector(v), Vector2(2.0f, 1.0f));
CORRADE_COMPARE(a.transformPoint(v), Vector2(3.0f, -4.0f));
}
void Matrix3Test::debug() {
Matrix3 m({3.0f, 5.0f, 8.0f},
{4.0f, 4.0f, 7.0f},
{7.0f, -1.0f, 8.0f});
std::ostringstream o;
Debug(&o) << m;
CORRADE_COMPARE(o.str(), "Matrix(3, 4, 7,\n"
" 5, 4, -1,\n"
" 8, 7, 8)\n");
}
void Matrix3Test::configuration() {
Corrade::Utility::Configuration c;
Matrix3 m({5.0f, 8.0f, 4.0f},
{4.0f, 7.0f, 3.125f},
{4.0f, 5.0f, 9.55f});
std::string value("5 4 4 8 7 5 4 3.125 9.55");
c.setValue("matrix", m);
CORRADE_COMPARE(c.value("matrix"), value);
CORRADE_COMPARE(c.value<Matrix3>("matrix"), m);
}
}}}
CORRADE_TEST_MAIN(Magnum::Math::Test::Matrix3Test)