matrix3.h File Reference

3x3 matrices with CPU and GPU operators More...

#include <core/vector3.h>

Classes
class	matrix3< scalar >
	3x3 matrix More...
struct	symmetricMatrix3< scalar >
	Symmetric matrix that stores only non-redundant entries (with limited operations) More...
struct	SpaceGroupOp
	Space group operation r -> rot * r + a in real-space lattice coordinates. More...

Macros
#define	METRIC_LENGTH_SQUARED
	Compute the length of a vector, using this matrix as the metric. More...
#define	MUL_MAT_VEC(retType)
#define	MUL_VEC_MAT(retType)
#define	MUL_MAT_MAT(retType)

Functions
template<typename scalar >
__hostanddev__ matrix3< scalar >	operator* (scalar s, const matrix3< scalar > &m)
template<typename scalar >
__hostanddev__ matrix3< scalar >	outer (const vector3< scalar > &a, const vector3< scalar > &b)
template<typename scalar >
__hostanddev__ vector3< scalar >	operator* (const matrix3< scalar > &m, const vector3< scalar > &v)
template<typename scalar >
__hostanddev__ vector3< scalar >	operator* (const matrix3< scalar > &m, const vector3< int > &v)
template<typename scalar >
__hostanddev__ vector3< scalar >	operator* (const matrix3< int > &m, const vector3< scalar > &v)
__hostanddev__ vector3< int >	operator* (const matrix3< int > &m, const vector3< int > &v)
__hostanddev__ vector3< complex >	operator* (const matrix3< complex > &m, const vector3<> &v)
__hostanddev__ vector3< complex >	operator* (const matrix3<> &m, const vector3< complex > &v)
template<typename scalar >
__hostanddev__ vector3< scalar >	operator* (const vector3< scalar > &v, const matrix3< scalar > &m)
template<typename scalar >
__hostanddev__ vector3< scalar >	operator* (const vector3< int > &v, const matrix3< scalar > &m)
template<typename scalar >
__hostanddev__ vector3< scalar >	operator* (const vector3< scalar > &v, const matrix3< int > &m)
__hostanddev__ vector3< int >	operator* (const vector3< int > &v, const matrix3< int > &m)
__hostanddev__ vector3< complex >	operator* (const vector3<> &v, const matrix3< complex > &m)
__hostanddev__ vector3< complex >	operator* (const vector3< complex > &v, const matrix3<> &m)
template<typename scalar >
__hostanddev__ matrix3< scalar >	operator* (const matrix3< scalar > &m, const matrix3< scalar > &n)
template<typename scalar >
__hostanddev__ matrix3< scalar >	operator* (const matrix3< scalar > &m, const matrix3< int > &n)
template<typename scalar >
__hostanddev__ matrix3< scalar >	operator* (const matrix3< int > &m, const matrix3< scalar > &n)
__hostanddev__ matrix3< int >	operator* (const matrix3< int > &m, const matrix3< int > &n)
template<typename scalar >
__hostanddev__ matrix3< scalar > &	operator*= (matrix3< scalar > &m, const matrix3< scalar > &n)
template<typename scalar >
__hostanddev__ matrix3< scalar >	Diag (vector3< scalar > v)
template<typename scalar >
__hostanddev__ scalar	trace (const matrix3< scalar > &m)
	Trace of matrix.
template<typename scalar >
__hostanddev__ scalar	det (const matrix3< scalar > &m)
	Determinant of matrix.
template<typename scalar >
__hostanddev__ matrix3< scalar >	adjugate (const matrix3< scalar > &m)
__hostanddev__ matrix3	inv (const matrix3<> &m)
template<typename scalar >
__hostanddev__ scalar	nrm2sq (const matrix3< scalar > &m)
	square of 2-norm of matrix
template<typename scalar >
__hostanddev__ double	nrm2 (const matrix3< scalar > &m)
	2-norm of matrix
__hostanddev__ matrix3	rotation (double theta, int axis)
	Create a rotation matrix.
template<typename scalar >
__hostanddev__ symmetricMatrix3< scalar >	operator* (scalar s, symmetricMatrix3< scalar > m)
	Scale.
template<typename scalar >
__hostanddev__ symmetricMatrix3< scalar >	outer (const vector3< scalar > &v)
	Symmetric outer product of vector.

Detailed Description

3x3 matrices with CPU and GPU operators

Macro Definition Documentation

METRIC_LENGTH_SQUARED

#define METRIC_LENGTH_SQUARED

Value:

                return v[0]*v[0]*m[0][0] + v[1]*v[1]*m[1][1] + v[2]*v[2]*m[2][2] \
                        + 2*(v[0]*v[1]*m[0][1] + v[0]*v[2]*m[0][2] + v[1]*v[2]*m[1][2]);

Compute the length of a vector, using this matrix as the metric.