Matrix22.h File Reference

Matrix type with fixed size of 2x2, algorithms that operate upon them. More...

#include <myramath/MYRAMATH_EXPORT.h>
#include <myramath/utility/Number.h>

Include dependency graph for Matrix22.h:

This graph shows which files directly or indirectly include this file:

Go to the source code of this file.

Classes
class	myra::MatrixRange< Number >
	Represents a mutable MatrixRange. More...
class	myra::CMatrixRange< Number >
	Represents a const MatrixRange. More...
class	myra::Matrix22< Number >
	Matrix type with fixed size 2x2. More...
class	myra::Matrix22< Number >
	Matrix type with fixed size 2x2. More...
class	myra::ReflectNumber< Matrix22< Number > >
	Specializing ReflectNumber<> for Matrix22<Number> More...

Functions
NumberS	myra::frobenius (const Matrix22< NumberS > &A)
	Returns the frobenius norm of a Matrix22.
NumberD	myra::frobenius (const Matrix22< NumberD > &A)
	Returns the frobenius norm of a Matrix22.
NumberS	myra::frobenius (const Matrix22< NumberC > &A)
	Returns the frobenius norm of a Matrix22.
NumberD	myra::frobenius (const Matrix22< NumberZ > &A)
	Returns the frobenius norm of a Matrix22.
Matrix22< NumberS >	myra::reverse (const Matrix22< NumberS > &A)
	Returns the reverse (flipud+fliplr) of a Matrix22, [A11 A01; A10 A00].
Matrix22< NumberD >	myra::reverse (const Matrix22< NumberD > &A)
	Returns the reverse (flipud+fliplr) of a Matrix22, [A11 A01; A10 A00].
Matrix22< NumberC >	myra::reverse (const Matrix22< NumberC > &A)
	Returns the reverse (flipud+fliplr) of a Matrix22, [A11 A01; A10 A00].
Matrix22< NumberZ >	myra::reverse (const Matrix22< NumberZ > &A)
	Returns the reverse (flipud+fliplr) of a Matrix22, [A11 A01; A10 A00].
Matrix22< NumberS >	myra::conjugate (const Matrix22< NumberS > &A)
	Returns the conjugate of a Matrix22.
Matrix22< NumberD >	myra::conjugate (const Matrix22< NumberD > &A)
	Returns the conjugate of a Matrix22.
Matrix22< NumberC >	myra::conjugate (const Matrix22< NumberC > &A)
	Returns the conjugate of a Matrix22.
Matrix22< NumberZ >	myra::conjugate (const Matrix22< NumberZ > &A)
	Returns the conjugate of a Matrix22.
Matrix22< NumberS >	myra::transpose (const Matrix22< NumberS > &A)
	Returns the transpose of a Matrix22.
Matrix22< NumberD >	myra::transpose (const Matrix22< NumberD > &A)
	Returns the transpose of a Matrix22.
Matrix22< NumberC >	myra::transpose (const Matrix22< NumberC > &A)
	Returns the transpose of a Matrix22.
Matrix22< NumberZ >	myra::transpose (const Matrix22< NumberZ > &A)
	Returns the transpose of a Matrix22.
Matrix22< NumberS >	myra::hermitian (const Matrix22< NumberS > &A)
	Returns the hermitian transpose of a Matrix22.
Matrix22< NumberD >	myra::hermitian (const Matrix22< NumberD > &A)
	Returns the hermitian transpose of a Matrix22.
Matrix22< NumberC >	myra::hermitian (const Matrix22< NumberC > &A)
	Returns the hermitian transpose of a Matrix22.
Matrix22< NumberZ >	myra::hermitian (const Matrix22< NumberZ > &A)
	Returns the hermitian transpose of a Matrix22.
Matrix22< NumberC >	myra::make_complex (const Matrix22< NumberS > &A)
	Promotes a real Matrix22 into a complex one.
Matrix22< NumberZ >	myra::make_complex (const Matrix22< NumberD > &A)
	Promotes a real Matrix22 into a complex one.
Matrix22< NumberS >	myra::gemm (const Matrix22< NumberS > &A, const Matrix22< NumberS > &B)
	Matrix22 * Matrix22 multiplication.
Matrix22< NumberD >	myra::gemm (const Matrix22< NumberD > &A, const Matrix22< NumberD > &B)
	Matrix22 * Matrix22 multiplication.
Matrix22< NumberC >	myra::gemm (const Matrix22< NumberC > &A, const Matrix22< NumberC > &B)
	Matrix22 * Matrix22 multiplication.
Matrix22< NumberZ >	myra::gemm (const Matrix22< NumberZ > &A, const Matrix22< NumberZ > &B)
	Matrix22 * Matrix22 multiplication.
Matrix22< NumberC >	myra::gemm (const Matrix22< NumberS > &A, const Matrix22< NumberC > &B)
	Mixed real*complex Matrix22 * Matrix22 multiplication.
Matrix22< NumberZ >	myra::gemm (const Matrix22< NumberD > &A, const Matrix22< NumberZ > &B)
	Mixed real*complex Matrix22 * Matrix22 multiplication.
Matrix22< NumberC >	myra::gemm (const Matrix22< NumberC > &A, const Matrix22< NumberS > &B)
	Mixed complex*real Matrix22 * Matrix22 multiplication.
Matrix22< NumberZ >	myra::gemm (const Matrix22< NumberZ > &A, const Matrix22< NumberD > &B)
	Mixed complex*real Matrix22 * Matrix22 multiplication.
Matrix22< NumberS >	myra::inverse (const Matrix22< NumberS > &A)
	Inverts a Matrix22.
Matrix22< NumberD >	myra::inverse (const Matrix22< NumberD > &A)
	Inverts a Matrix22.
Matrix22< NumberC >	myra::inverse (const Matrix22< NumberC > &A)
	Inverts a Matrix22.
Matrix22< NumberZ >	myra::inverse (const Matrix22< NumberZ > &A)
	Inverts a Matrix22.
Matrix22< NumberS >	myra::operator* (const Matrix22< NumberS > &A, const Matrix22< NumberS > &B)
	Returns A*B (gemm)
Matrix22< NumberD >	myra::operator* (const Matrix22< NumberD > &A, const Matrix22< NumberD > &B)
	Returns A*B (gemm)
Matrix22< NumberC >	myra::operator* (const Matrix22< NumberC > &A, const Matrix22< NumberC > &B)
	Returns A*B (gemm)
Matrix22< NumberZ >	myra::operator* (const Matrix22< NumberZ > &A, const Matrix22< NumberZ > &B)
	Returns A*B (gemm)
Matrix22< NumberC >	myra::operator* (const Matrix22< NumberS > &A, const Matrix22< NumberC > &B)
	Mixed real*complex operator*.
Matrix22< NumberZ >	myra::operator* (const Matrix22< NumberD > &A, const Matrix22< NumberZ > &B)
	Returns A*B (gemm)
Matrix22< NumberC >	myra::operator* (const Matrix22< NumberC > &A, const Matrix22< NumberS > &B)
	Mixed complex*real operator*.
Matrix22< NumberZ >	myra::operator* (const Matrix22< NumberZ > &A, const Matrix22< NumberD > &B)
	Mixed complex*real operator*.
Matrix22< NumberS >	myra::operator+ (const Matrix22< NumberS > &A, const Matrix22< NumberS > &B)
	Returns A+B.
Matrix22< NumberD >	myra::operator+ (const Matrix22< NumberD > &A, const Matrix22< NumberD > &B)
	Returns A+B.
Matrix22< NumberC >	myra::operator+ (const Matrix22< NumberC > &A, const Matrix22< NumberC > &B)
	Returns A+B.
Matrix22< NumberZ >	myra::operator+ (const Matrix22< NumberZ > &A, const Matrix22< NumberZ > &B)
	Returns A+B.
Matrix22< NumberS >	myra::operator- (const Matrix22< NumberS > &A, const Matrix22< NumberS > &B)
	Returns A-B.
Matrix22< NumberD >	myra::operator- (const Matrix22< NumberD > &A, const Matrix22< NumberD > &B)
	Returns A-B.
Matrix22< NumberC >	myra::operator- (const Matrix22< NumberC > &A, const Matrix22< NumberC > &B)
	Returns A-B.
Matrix22< NumberZ >	myra::operator- (const Matrix22< NumberZ > &A, const Matrix22< NumberZ > &B)
	Returns A-B.
void	myra::gemm_inplace (const Matrix22< NumberS > &A, const MatrixRange< NumberS > &B)
	Given a Matrix22 A and a Matrix B (with two rows), overwrites B with A*B.
void	myra::gemm_inplace (const Matrix22< NumberD > &A, const MatrixRange< NumberD > &B)
	Given a Matrix22 A and a Matrix B (with two rows), overwrites B with A*B.
void	myra::gemm_inplace (const Matrix22< NumberC > &A, const MatrixRange< NumberC > &B)
	Given a Matrix22 A and a Matrix B (with two rows), overwrites B with A*B.
void	myra::gemm_inplace (const Matrix22< NumberZ > &A, const MatrixRange< NumberZ > &B)
	Given a Matrix22 A and a Matrix B (with two rows), overwrites B with A*B.
void	myra::gemm_inplace (const MatrixRange< NumberS > &A, const Matrix22< NumberS > &B)
	Given a Matrix A (with two columns) and a Matrix22 B, overwrites A with A*B.
void	myra::gemm_inplace (const MatrixRange< NumberD > &A, const Matrix22< NumberD > &B)
	Given a Matrix A (with two columns) and a Matrix22 B, overwrites A with A*B.
void	myra::gemm_inplace (const MatrixRange< NumberC > &A, const Matrix22< NumberC > &B)
	Given a Matrix A (with two columns) and a Matrix22 B, overwrites A with A*B.
void	myra::gemm_inplace (const MatrixRange< NumberZ > &A, const Matrix22< NumberZ > &B)
	Given a Matrix A (with two columns) and a Matrix22 B, overwrites A with A*B.

Detailed Description

Matrix type with fixed size of 2x2, algorithms that operate upon them.