math_matrix_functions_common_impl.hpp File Reference

#include <cmath>
#include <iostream>
#include <iomanip>
#include <cassert>
#include "math_matrix.h"
#include "common/assert.h"
#include "common/static_assert.h"

Go to the source code of this file.

Namespaces
namespace	ug
	the ug namespace

Functions
template<typename T >
MathMatrix< 0, 0, T >::value_type	ug::Determinant (const MathMatrix< 0, 0, T > &m)
template<typename T >
MathMatrix< 4, 4, T >::value_type	ug::Determinant (const MathMatrix< 4, 4, T > &m)
template<typename T >
MathMatrix< 0, 0, T >::value_type	ug::GramDeterminant (const MathMatrix< 0, 0, T > &m)
template<size_t M, typename T >
MathMatrix< 0, M, T >::value_type	ug::GramDeterminant (const MathMatrix< 0, M, T > &m)
template<size_t N, typename T >
MathMatrix< N, 0, T >::value_type	ug::GramDeterminant (const MathMatrix< N, 0, T > &m)
template<typename matrix_t >
void	ug::MatAdd (matrix_t &mOut, const matrix_t &m, typename matrix_t::value_type s)
	Add a scalar to a matrix (componentwise)
template<typename matrix_t >
void	ug::MatAdd (matrix_t &mOut, const matrix_t &m1, const matrix_t &m2)
	adds two matrices and stores the result in a third one
template<typename matrix_t >
matrix_t::value_type	ug::MatContraction (const matrix_t &m1, const matrix_t &m2)
template<typename matrix_t >
matrix_t::value_type	ug::MatDeviatorTrace (const matrix_t &m, matrix_t &dev)
template<typename matrix_t >
void	ug::MatDiagSet (matrix_t &mInOut, typename matrix_t::value_type s)
	Set diagonal entries of a matrix to a scalar (other entries are not changed)
template<typename matrix_t >
void	ug::MatDivide (matrix_t &mOut, const matrix_t &m, typename matrix_t::value_type s)
	Devide a matrix by a scalar (componentwise)
template<typename matrix_t >
matrix_t::value_type	ug::MatFrobeniusNorm (matrix_t &m)
template<typename matrix_t >
matrix_t::value_type	ug::MatFrobeniusNormSq (matrix_t &m)
template<typename matrix_t , typename vector_t >
void	ug::MatHouseholder (matrix_t &mOut, const vector_t &orthoVec)
template<typename matrix_t >
void	ug::MatIdentity (matrix_t &mOut)
	Fills the matrix with the identity matrix.
template<typename matrix_t >
matrix_t::value_type	ug::MatInftyNorm (matrix_t &m)
template<typename matrix_t >
matrix_t::value_type	ug::MatMaxNorm (matrix_t &m)
template<size_t N, size_t M, size_t L, typename T >
void	ug::MatMultiply (MathMatrix< N, M, T > &mOut, const MathMatrix< N, L, T > &m1, const MathMatrix< L, M, T > &m2)
	multiply two matrices and stores the result in a third one
template<size_t N, size_t M, size_t L, size_t P, typename T >
void	ug::MatMultiply (MathMatrix< N, M, T > &mOut, const MathMatrix< N, L, T > &m1, const MathMatrix< L, P, T > &m2, const MathMatrix< P, M, T > &m3)
	multiply three matrices and stores the result in a fourth one
template<typename matrix_t >
void	ug::MatMultiply (matrix_t &mOut, const matrix_t &m, typename matrix_t::value_type s)
	Multiply a matrix by a scalar (componentwise)
template<size_t N, size_t M, typename T >
void	ug::MatMultiplyMBMT (MathMatrix< N, N, T > &mOut, const MathMatrix< N, M, T > &m1, const MathMatrix< M, M, T > &m2)
template<size_t N, size_t M, size_t L, typename T >
void	ug::MatMultiplyMBT (MathMatrix< N, M, T > &mOut, const MathMatrix< N, L, T > &m1, const MathMatrix< M, L, T > &m2)
	multiply a matrix with the transposed of a second one and stores the result in mOut
template<size_t N, size_t M, typename T >
void	ug::MatMultiplyMMT (MathMatrix< M, M, T > &mOut, const MathMatrix< M, N, T > &m)
	multiply a matrix with its transposed and stores the result in a second one
template<size_t N, size_t M, size_t L, typename T >
void	ug::MatMultiplyMTB (MathMatrix< N, M, T > &mOut, const MathMatrix< L, N, T > &m1, const MathMatrix< L, M, T > &m2)
	multiply the transposed of a matrix with a matrix and stores the result in mOut
template<size_t N, size_t M, typename T >
void	ug::MatMultiplyMTBM (MathMatrix< N, N, T > &mOut, const MathMatrix< M, N, T > &m1, const MathMatrix< M, M, T > &m2)
template<size_t N, size_t M, typename T >
void	ug::MatMultiplyMTM (MathMatrix< N, N, T > &mOut, const MathMatrix< M, N, T > &m)
	multiply a transposed matrix with itself and stores the result in a second one
template<size_t N, size_t M, size_t L, typename T >
void	ug::MatMultiplyTransposed (MathMatrix< N, M, T > &mOut, const MathMatrix< L, N, T > &m1, const MathMatrix< M, L, T > &m2)
	multiply two transposed matrices and stores the result in a third one
template<typename matrix_t >
matrix_t::value_type	ug::MatOneNorm (matrix_t &m)
template<typename matrix_t >
void	ug::MatRotationX (matrix_t &mOut, typename matrix_t::value_type rads)
	Fills the matrix with a matrix that rotates around the x-axis in 3 dimensions.
template<typename matrix_t >
void	ug::MatRotationY (matrix_t &mOut, typename matrix_t::value_type rads)
	Fills the matrix with a matrix that rotates around the y-axis in 3 dimensions.
template<typename matrix_t >
void	ug::MatRotationYawPitchRoll (matrix_t &mOut, typename matrix_t::value_type yaw, typename matrix_t::value_type pitch, typename matrix_t::value_type roll)
	Creates a rotation matrix given yaw, pitch and roll in radiants.
template<typename matrix_t >
void	ug::MatRotationZ (matrix_t &mOut, typename matrix_t::value_type rads)
	Fills the matrix with a matrix that rotates around the y-axis in 2 or 3 dimensions.
template<typename matrix_t >
void	ug::MatScale (matrix_t &mOut, typename matrix_t::value_type s, const matrix_t &m)
	scales a matrix_t
template<typename matrix_t >
void	ug::MatScaleAppend (matrix_t &mOut, typename matrix_t::value_type s, const matrix_t &m)
	scales a matrix_t and adds to result to a second matrix
template<typename matrix_t >
void	ug::MatSet (matrix_t &mInOut, typename matrix_t::value_type s)
	Set each matrix entry to a scalar (componentwise)
template<typename matrix_t >
void	ug::MatSubtract (matrix_t &mOut, const matrix_t &m, typename matrix_t::value_type s)
	Subtract a scalar from a matrix (componentwise)
template<typename matrix_t >
void	ug::MatSubtract (matrix_t &mOut, const matrix_t &m1, const matrix_t &m2)
	subtracts m2 from m1 and stores the result in a mOut
template<typename T >
MathMatrix< 1, 1, T >::value_type	ug::MaxAbsEigenvalue (const MathMatrix< 1, 1, T > &m)
template<typename T >
MathMatrix< 2, 2, T >::value_type	ug::MaxAbsEigenvalue (const MathMatrix< 2, 2, T > &m)
template<size_t N, size_t M, typename T >
MathMatrix< N, M, T >::value_type	ug::MaxAbsEigenvalue (const MathMatrix< M, N, T > &m)
	Computes maximum eigenvalue of a (symmetric) matrix.
template<typename matrix_t >
matrix_t::value_type	ug::MinAbsEigenvalue (matrix_t &m)
template<typename T >
MathMatrix< 0, 0, T >::value_type	ug::SqrtGramDeterminant (const MathMatrix< 0, 0, T > &m)
template<size_t M, typename T >
MathMatrix< 0, M, T >::value_type	ug::SqrtGramDeterminant (const MathMatrix< 0, M, T > &m)
template<size_t N, typename T >
MathMatrix< N, 0, T >::value_type	ug::SqrtGramDeterminant (const MathMatrix< N, 0, T > &m)
template<size_t N, size_t M, typename T >
void	ug::Transpose (MathMatrix< N, M, T > &mOut, const MathMatrix< M, N, T > &m)
	transpose a matrix
template<typename matrix_t >
void	ug::Transpose (matrix_t &m)
	transpose a matrix_t, override original matrix_t
template<typename T >
MathMatrix< 1, 1, T >::value_type	ug::Determinant (const MathMatrix< 1, 1, T > &m)
	Determinant of a matrix.
template<typename T >
MathMatrix< 2, 2, T >::value_type	ug::Determinant (const MathMatrix< 2, 2, T > &m)
	Determinant of a matrix.
template<typename T >
MathMatrix< 3, 3, T >::value_type	ug::Determinant (const MathMatrix< 3, 3, T > &m)
	Determinant of a matrix.
template<size_t N, typename T >
MathMatrix< N, N, T >::value_type	ug::Determinant (const MathMatrix< N, N, T > &m)
	Determinant of a matrix.
template<typename T >
MathMatrix< 1, 1, T >::value_type	ug::GramDeterminant (const MathMatrix< 1, 1, T > &m)
	Gram Determinant of a matrix.
template<typename T >
MathMatrix< 2, 2, T >::value_type	ug::GramDeterminant (const MathMatrix< 2, 2, T > &m)
	Gram Determinant of a matrix.
template<typename T >
MathMatrix< 3, 3, T >::value_type	ug::GramDeterminant (const MathMatrix< 3, 3, T > &m)
	Gram Determinant of a matrix.
template<size_t N, size_t M, typename T >
MathMatrix< N, M, T >::value_type	ug::GramDeterminant (const MathMatrix< N, M, T > &m)
	Gram Determinant of a matrix.
template<typename T >
MathMatrix< 1, 1, T >::value_type	ug::SqrtGramDeterminant (const MathMatrix< 1, 1, T > &m)
	Square root of Gram Determinant of a matrix.
template<typename T >
MathMatrix< 2, 2, T >::value_type	ug::SqrtGramDeterminant (const MathMatrix< 2, 2, T > &m)
	Square root of Gram Determinant of a matrix.
template<typename T >
MathMatrix< 3, 3, T >::value_type	ug::SqrtGramDeterminant (const MathMatrix< 3, 3, T > &m)
	Square root of Gram Determinant of a matrix.
template<size_t N, size_t M, typename T >
MathMatrix< N, M, T >::value_type	ug::SqrtGramDeterminant (const MathMatrix< N, M, T > &m)
	Square root of Gram Determinant of a matrix.
template<typename T >
MathMatrix< 1, 1, T >::value_type	ug::Inverse (MathMatrix< 1, 1, T > &mOut, const MathMatrix< 1, 1, T > &m)
	Inverse of a matrix.
template<typename T >
MathMatrix< 2, 2, T >::value_type	ug::Inverse (MathMatrix< 2, 2, T > &mOut, const MathMatrix< 2, 2, T > &m)
	Inverse of a matrix.
template<typename T >
MathMatrix< 3, 3, T >::value_type	ug::Inverse (MathMatrix< 3, 3, T > &mOut, const MathMatrix< 3, 3, T > &m)
	Inverse of a matrix.
template<size_t N, size_t M, typename T >
MathMatrix< N, M, T >::value_type	ug::Inverse (MathMatrix< N, M, T > &mOut, const MathMatrix< M, N, T > &m)
	Inverse of a matrix.
template<typename T >
MathMatrix< 1, 1, T >::value_type	ug::InverseTransposed (MathMatrix< 1, 1, T > &mOut, const MathMatrix< 1, 1, T > &m)
	Transposed-Inverse of a Matrix (= Inverse-Transposed of a Matrix)
template<typename T >
MathMatrix< 2, 2, T >::value_type	ug::InverseTransposed (MathMatrix< 2, 2, T > &mOut, const MathMatrix< 2, 2, T > &m)
	Transposed-Inverse of a Matrix (= Inverse-Transposed of a Matrix)
template<typename T >
MathMatrix< 3, 3, T >::value_type	ug::InverseTransposed (MathMatrix< 3, 3, T > &mOut, const MathMatrix< 3, 3, T > &m)
	Transposed-Inverse of a Matrix (= Inverse-Transposed of a Matrix)
template<size_t N, size_t M, typename T >
MathMatrix< N, M, T >::value_type	ug::InverseTransposed (MathMatrix< N, M, T > &mOut, const MathMatrix< M, N, T > &m)
	Transposed-Inverse of a Matrix (= Inverse-Transposed of a Matrix)
template<typename T >
MathMatrix< 1, 1, T >::value_type	ug::RightInverse (MathMatrix< 1, 1 > &mOut, const MathMatrix< 1, 1 > &m)
	Right-Inverse of a Matrix.
template<typename T >
MathMatrix< 2, 2, T >::value_type	ug::RightInverse (MathMatrix< 2, 2 > &mOut, const MathMatrix< 2, 2 > &m)
	Right-Inverse of a Matrix.
template<typename T >
MathMatrix< 3, 3, T >::value_type	ug::RightInverse (MathMatrix< 3, 3 > &mOut, const MathMatrix< 3, 3 > &m)
	Right-Inverse of a Matrix.
template<size_t N, size_t M, typename T >
MathMatrix< N, M, T >::value_type	ug::RightInverse (MathMatrix< N, M, T > &mOut, const MathMatrix< M, N, T > &m)
	Right-Inverse of a Matrix.
template<typename T >
MathMatrix< 1, 1, T >::value_type	ug::LeftInverse (MathMatrix< 1, 1 > &mOut, const MathMatrix< 1, 1 > &m)
	Left-Inverse of a Matrix.
template<typename T >
MathMatrix< 2, 2, T >::value_type	ug::LeftInverse (MathMatrix< 2, 2 > &mOut, const MathMatrix< 2, 2 > &m)
	Left-Inverse of a Matrix.
template<typename T >
MathMatrix< 3, 3, T >::value_type	ug::LeftInverse (MathMatrix< 3, 3 > &mOut, const MathMatrix< 3, 3 > &m)
	Left-Inverse of a Matrix.
template<size_t N, size_t M, typename T >
MathMatrix< N, M, T >::value_type	ug::LeftInverse (MathMatrix< N, M, T > &mOut, const MathMatrix< M, N, T > &m)
	Left-Inverse of a Matrix.
template<size_t N, size_t M, typename T >
MathMatrix< N, M, T >::value_type	ug::GeneralizedInverse (MathMatrix< N, M, T > &mOut, const MathMatrix< M, N, T > &m)
template<typename T >
MathMatrix< 1, 1, T >::value_type	ug::Trace (const MathMatrix< 1, 1, T > &m)
	Trace of a Matrix.
template<typename T >
MathMatrix< 2, 2, T >::value_type	ug::Trace (const MathMatrix< 2, 2, T > &m)
	Trace of a Matrix.
template<typename T >
MathMatrix< 3, 3, T >::value_type	ug::Trace (const MathMatrix< 3, 3, T > &m)
	Trace of a Matrix.