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Math: C++14 constexpr in Matrix.

pull/276/head
Vladimír Vondruš 12 years ago
parent
7eb62cd30f
commit
70428311ff
2 changed files with 67 additions and 53 deletions
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  1. 38
      src/Magnum/Math/Matrix.h
  2. 50
      src/Magnum/Math/Test/MatrixTest.cpp

38
src/Magnum/Math/Matrix.h
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@ -119,10 +119,10 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
* tr(A) = \sum_{i=1}^n a_{i,i}
* @f]
*/
T trace() const { return RectangularMatrix<size, size, T>::diagonal().sum(); }
constexpr T trace() const { return RectangularMatrix<size, size, T>::diagonal().sum(); }
/** @brief %Matrix without given column and row */
Matrix<size-1, T> ij(std::size_t skipCol, std::size_t skipRow) const;
constexpr Matrix<size-1, T> ij(std::size_t skipCol, std::size_t skipRow) const;
/**
* @brief Determinant
@ -135,7 +135,7 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
* \det(A) = a_{0, 0} a_{1, 1} - a_{1, 0} a_{0, 1}
* @f]
*/
T determinant() const { return Implementation::MatrixDeterminant<size, T>()(*this); }
constexpr T determinant() const { return Implementation::MatrixDeterminant<size, T>()(*this); }
/**
* @brief Inverted matrix
@ -147,7 +147,7 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
* @ref Matrix4::invertedRigid() which are faster alternatives for
* particular matrix types.
*/
Matrix<size, T> inverted() const;
constexpr Matrix<size, T> inverted() const;
/**
* @brief Inverted orthogonal matrix
@ -168,13 +168,13 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
#ifndef DOXYGEN_GENERATING_OUTPUT
/* Reimplementation of functions to return correct type */
Matrix<size, T> operator*(const Matrix<size, T>& other) const {
constexpr Matrix<size, T> operator*(const Matrix<size, T>& other) const {
return RectangularMatrix<size, size, T>::operator*(other);
}
template<std::size_t otherCols> RectangularMatrix<otherCols, size, T> operator*(const RectangularMatrix<otherCols, size, T>& other) const {
template<std::size_t otherCols> RectangularMatrix<otherCols, size, T> constexpr operator*(const RectangularMatrix<otherCols, size, T>& other) const {
return RectangularMatrix<size, size, T>::operator*(other);
}
Vector<size, T> operator*(const Vector<size, T>& other) const {
constexpr Vector<size, T> operator*(const Vector<size, T>& other) const {
return RectangularMatrix<size, size, T>::operator*(other);
}
MAGNUM_RECTANGULARMATRIX_SUBCLASS_IMPLEMENTATION(size, size, Matrix<size, T>)
@ -219,40 +219,40 @@ template<std::size_t size, class T> inline Corrade::Utility::Debug operator<<(Co
#ifndef DOXYGEN_GENERATING_OUTPUT
#define MAGNUM_MATRIX_SUBCLASS_IMPLEMENTATION(size, Type, VectorType) \
VectorType<T>& operator[](std::size_t col) { \
constexpr VectorType<T>& operator[](std::size_t col) { \
return static_cast<VectorType<T>&>(Matrix<size, T>::operator[](col)); \
} \
constexpr const VectorType<T> operator[](std::size_t col) const { \
return VectorType<T>(Matrix<size, T>::operator[](col)); \
} \
VectorType<T> row(std::size_t row) const { \
constexpr VectorType<T> row(std::size_t row) const { \
return VectorType<T>(Matrix<size, T>::row(row)); \
} \
\
Type<T> operator*(const Matrix<size, T>& other) const { \
constexpr Type<T> operator*(const Matrix<size, T>& other) const { \
return Matrix<size, T>::operator*(other); \
} \
template<std::size_t otherCols> RectangularMatrix<otherCols, size, T> operator*(const RectangularMatrix<otherCols, size, T>& other) const { \
template<std::size_t otherCols> constexpr RectangularMatrix<otherCols, size, T> operator*(const RectangularMatrix<otherCols, size, T>& other) const { \
return Matrix<size, T>::operator*(other); \
} \
VectorType<T> operator*(const Vector<size, T>& other) const { \
constexpr VectorType<T> operator*(const Vector<size, T>& other) const { \
return Matrix<size, T>::operator*(other); \
} \
\
Type<T> transposed() const { return Matrix<size, T>::transposed(); } \
constexpr Type<T> transposed() const { return Matrix<size, T>::transposed(); } \
constexpr VectorType<T> diagonal() const { return Matrix<size, T>::diagonal(); } \
Type<T> inverted() const { return Matrix<size, T>::inverted(); } \
Type<T> invertedOrthogonal() const { \
constexpr Type<T> inverted() const { return Matrix<size, T>::inverted(); } \
constexpr Type<T> invertedOrthogonal() const { \
return Matrix<size, T>::invertedOrthogonal(); \
}
namespace Implementation {
template<std::size_t size, class T> struct MatrixDeterminant {
T operator()(const Matrix<size, T>& m);
constexpr T operator()(const Matrix<size, T>& m);
};
template<std::size_t size, class T> T MatrixDeterminant<size, T>::operator()(const Matrix<size, T>& m) {
template<std::size_t size, class T> constexpr T MatrixDeterminant<size, T>::operator()(const Matrix<size, T>& m) {
T out(0);
for(std::size_t col = 0; col != size; ++col)
@ -290,7 +290,7 @@ template<std::size_t size, class T> bool Matrix<size, T>::isOrthogonal() const {
return true;
}
template<std::size_t size, class T> Matrix<size-1, T> Matrix<size, T>::ij(const std::size_t skipCol, const std::size_t skipRow) const {
template<std::size_t size, class T> constexpr Matrix<size-1, T> Matrix<size, T>::ij(const std::size_t skipCol, const std::size_t skipRow) const {
Matrix<size-1, T> out(Matrix<size-1, T>::Zero);
for(std::size_t col = 0; col != size-1; ++col)
@ -301,7 +301,7 @@ template<std::size_t size, class T> Matrix<size-1, T> Matrix<size, T>::ij(const
return out;
}
template<std::size_t size, class T> Matrix<size, T> Matrix<size, T>::inverted() const {
template<std::size_t size, class T> constexpr Matrix<size, T> Matrix<size, T>::inverted() const {
Matrix<size, T> out(Zero);
const T _determinant = determinant();

50
src/Magnum/Math/Test/MatrixTest.cpp
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@ -214,7 +214,7 @@ void MatrixTest::isOrthogonal() {
}
void MatrixTest::trace() {
Matrix<5, Int> m(
constexpr Matrix<5, Int> m(
Vector<5, Int>(1, 2, 3, 0, 0),
Vector<5, Int>(2, 3, 2, 1, -2),
Vector<5, Int>(1, 1, -20, 1, 0),
@ -222,11 +222,13 @@ void MatrixTest::trace() {
Vector<5, Int>(3, 1, 0, 1, -2)
);
CORRADE_COMPARE(m.trace(), -8);
constexpr auto a = m.trace();
CORRADE_COMPARE(a, -8);
}
void MatrixTest::ij() {
Matrix4x4 original(Vector4( 0.0f, 1.0f, 2.0f, 3.0f),
constexpr Matrix4x4 original(Vector4( 0.0f, 1.0f, 2.0f, 3.0f),
Vector4( 4.0f, 5.0f, 6.0f, 7.0f),
Vector4( 8.0f, 9.0f, 10.0f, 11.0f),
Vector4(12.0f, 13.0f, 14.0f, 15.0f));
@ -235,11 +237,12 @@ void MatrixTest::ij() {
Vector3( 8.0f, 9.0f, 11.0f),
Vector3(12.0f, 13.0f, 15.0f));
CORRADE_COMPARE(original.ij(1, 2), skipped);
constexpr auto a = original.ij(1, 2);
CORRADE_COMPARE(a, skipped);
}
void MatrixTest::determinant() {
Matrix<5, Int> m(
constexpr Matrix<5, Int> m(
Vector<5, Int>(1, 2, 2, 1, 0),
Vector<5, Int>(2, 3, 2, 1, -2),
Vector<5, Int>(1, 1, 1, 1, 0),
@ -247,21 +250,22 @@ void MatrixTest::determinant() {
Vector<5, Int>(3, 1, 0, 1, -2)
);
CORRADE_COMPARE(m.determinant(), -2);
constexpr auto a = m.determinant();
CORRADE_COMPARE(a, -2);
}
void MatrixTest::inverted() {
Matrix4x4 m(Vector4(3.0f, 5.0f, 8.0f, 4.0f),
constexpr Matrix4x4 m(Vector4(3.0f, 5.0f, 8.0f, 4.0f),
Vector4(4.0f, 4.0f, 7.0f, 3.0f),
Vector4(7.0f, -1.0f, 8.0f, 0.0f),
Vector4(9.0f, 4.0f, 5.0f, 9.0f));
Matrix4x4 inverse(Vector4(-60/103.0f, 71/103.0f, -4/103.0f, 3/103.0f),
constexpr Matrix4x4 inverse(Vector4(-60/103.0f, 71/103.0f, -4/103.0f, 3/103.0f),
Vector4(-66/103.0f, 109/103.0f, -25/103.0f, -7/103.0f),
Vector4(177/412.0f, -97/206.0f, 53/412.0f, -7/206.0f),
Vector4(259/412.0f, -185/206.0f, 31/412.0f, 27/206.0f));
Matrix4x4 _inverse = m.inverted();
constexpr Matrix4x4 _inverse = m.inverted();
CORRADE_COMPARE(_inverse, inverse);
CORRADE_COMPARE(_inverse*m, Matrix4x4());
@ -315,25 +319,35 @@ void MatrixTest::subclassTypes() {
}
void MatrixTest::subclass() {
const Mat2 a(Vec2(2.0f, 3.5f),
constexpr Mat2 a(Vec2(2.0f, 3.5f),
Vec2(3.0f, 1.0f));
constexpr auto a0 = a[1];
constexpr auto a1 = a.row(1);
CORRADE_COMPARE(a0, Vec2(3.0f, 1.0f));
CORRADE_COMPARE(a1, Vec2(3.5f, 1.0f));
Mat2 b(Vec2(2.0f, 3.5f),
Vec2(3.0f, 1.0f));
CORRADE_COMPARE(a[1], Vec2(3.0f, 1.0f));
CORRADE_COMPARE(b[1], Vec2(3.0f, 1.0f));
CORRADE_COMPARE(a.row(1), Vec2(3.5f, 1.0f));
CORRADE_COMPARE(a*b, Mat2(Vec2(14.5f, 10.5f),
constexpr Mat2 cb(Vec2(2.0f, 3.5f),
Vec2(3.0f, 1.0f));
constexpr auto b0 = a*cb;
constexpr auto b1 = a*Vec2(1.0f, 0.5f);
CORRADE_COMPARE(b0, Mat2(Vec2(14.5f, 10.5f),
Vec2(9.0f, 11.5f)));
CORRADE_COMPARE(a*Vec2(1.0f, 0.5f), Vec2(3.5f, 4.0f));
CORRADE_COMPARE(b1, Vec2(3.5f, 4.0f));
CORRADE_COMPARE(a.transposed(), Mat2(Vec2(2.0f, 3.0f),
constexpr auto b2 = a.transposed();
constexpr auto b3 = a.diagonal();
CORRADE_COMPARE(b2, Mat2(Vec2(2.0f, 3.0f),
Vec2(3.5f, 1.0f)));
CORRADE_COMPARE(a.diagonal(), Vec2(2.0f, 1.0f));
CORRADE_COMPARE(b3, Vec2(2.0f, 1.0f));
Mat2 c(Vec2(Constants::sqrt2()/2.0f, Constants::sqrt2()/2.0f),
constexpr Mat2 c(Vec2(Constants::sqrt2()/2.0f, Constants::sqrt2()/2.0f),
Vec2(-Constants::sqrt2()/2.0f, Constants::sqrt2()/2.0f));
CORRADE_COMPARE(c.inverted(), Mat2(Vec2(Constants::sqrt2()/2.0f, -Constants::sqrt2()/2.0f),
constexpr auto c0 = c.inverted();
CORRADE_COMPARE(c0, Mat2(Vec2(Constants::sqrt2()/2.0f, -Constants::sqrt2()/2.0f),
Vec2(Constants::sqrt2()/2.0f, Constants::sqrt2()/2.0f)));
CORRADE_COMPARE(c.invertedOrthogonal(), Mat2(Vec2(Constants::sqrt2()/2.0f, -Constants::sqrt2()/2.0f),
Vec2(Constants::sqrt2()/2.0f, Constants::sqrt2()/2.0f)));

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