ModuleBase::Matrix3 Class Reference

3x3 matrix and related mathamatical operations More...

#include <matrix3.h>

Collaboration diagram for ModuleBase::Matrix3:

Public Member Functions
	Matrix3 ()
	Construct a new Matrix 3 object to Identity matrix.
	Matrix3 (const double &r11, const double &r12, const double &r13, const double &r21, const double &r22, const double &r23, const double &r31, const double &r32, const double &r33)
	Construct a new Matrix 3 object.
void	Identity (void)
	Set a 3x3 matrix to identity matrix.
void	Zero (void)
	Set all elements of a 3x3 matrix to zero.
double	Det (void) const
	Calculate the determinant of a 3x3 matrix.
Matrix3	Transpose (void) const
	Transpose a 3x3 matrix.
Matrix3	Inverse (void) const
	Inverse a 3x3 matrix.
Matrix3 &	operator= (const Matrix3 &m)
	Overload operator "=" for 3x3 matrices For example, assign mb = ma.
Matrix3 &	operator+= (const Matrix3 &m)
	Overload operator "+=" for 3x3 matrices For example, mb += ma.
Matrix3 &	operator-= (const Matrix3 &m)
	Overload operator "-=" for 3x3 matrices For example, mb -= ma.
Matrix3 &	operator*= (const double &s)
	Overload operator "*=" for 3x3 matrix and a scalar For example, mb *= 3.0.
Matrix3 &	operator/= (const double &s)
	Overload operator "/=" for 3x3 matrix and a scalar For example, mb /= 3.0.
void	print (void) const
	Print a 3x3 matrix on screening.
ModuleBase::matrix	to_matrix (void) const
	Change the form of a 3x3 matrix from that of class Matrix3 to that of class matrix.

Public Attributes
double	e11
	element e_ij: i_row, j_column
double	e12
double	e13
double	e21
double	e22
double	e23
double	e31
double	e32
double	e33

Detailed Description

3x3 matrix and related mathamatical operations

Constructor & Destructor Documentation

Matrix3() [1/2]

ModuleBase::Matrix3::Matrix3 ( )

inline

Construct a new Matrix 3 object to Identity matrix.

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Matrix3() [2/2]

ModuleBase::Matrix3::Matrix3	(	const double &	r11,
		const double &	r12,
		const double &	r13,
		const double &	r21,
		const double &	r22,
		const double &	r23,
		const double &	r31,
		const double &	r32,
		const double &	r33
	)

Construct a new Matrix 3 object.

Parameters

r11	element r_ij: i_row, j_column
r12
r13
r21
r22
r23
r31
r32
r33

Member Function Documentation

Det()

double ModuleBase::Matrix3::Det

(

void

)

const

Calculate the determinant of a 3x3 matrix.

Returns

double

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Identity()

void ModuleBase::Matrix3::Identity

(

void

)

Set a 3x3 matrix to identity matrix.

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Inverse()

Matrix3 ModuleBase::Matrix3::Inverse

(

void

)

const

Inverse a 3x3 matrix.

Returns

Matrix3

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operator*=()

Matrix3 & ModuleBase::Matrix3::operator*=

(

const double &

s

)

Overload operator "*=" for 3x3 matrix and a scalar For example, mb *= 3.0.

Parameters

s	The scalar

Returns

Matrix3&

operator+=()

Matrix3 & ModuleBase::Matrix3::operator+=

(

const Matrix3 &

m

)

Overload operator "+=" for 3x3 matrices For example, mb += ma.

Parameters

m

Returns

Matrix3&

operator-=()

Matrix3 & ModuleBase::Matrix3::operator-=

(

const Matrix3 &

m

)

Overload operator "-=" for 3x3 matrices For example, mb -= ma.

Parameters

m

Returns

Matrix3&

operator/=()

Matrix3 & ModuleBase::Matrix3::operator/=

(

const double &

s

)

Overload operator "/=" for 3x3 matrix and a scalar For example, mb /= 3.0.

Parameters

s	The scalar

Returns

Matrix3&

operator=()

Matrix3 & ModuleBase::Matrix3::operator=

(

const Matrix3 &

m

)

Overload operator "=" for 3x3 matrices For example, assign mb = ma.

Parameters

m

Returns

Matrix3&

print()

void ModuleBase::Matrix3::print

(

void

)

const

Print a 3x3 matrix on screening.

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to_matrix()

ModuleBase::matrix ModuleBase::Matrix3::to_matrix

(

void

)

const

Change the form of a 3x3 matrix from that of class Matrix3 to that of class matrix.

Returns

ModuleBase::matrix

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Transpose()

Matrix3 ModuleBase::Matrix3::Transpose

(

void

)

const

Transpose a 3x3 matrix.

Returns

Matrix3

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Zero()

void ModuleBase::Matrix3::Zero

(

void

)

Set all elements of a 3x3 matrix to zero.

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Member Data Documentation

e11

double ModuleBase::Matrix3::e11

element e_ij: i_row, j_column

e12

double ModuleBase::Matrix3::e12

e13

double ModuleBase::Matrix3::e13

e21

double ModuleBase::Matrix3::e21

e22

double ModuleBase::Matrix3::e22

e23

double ModuleBase::Matrix3::e23

e31

double ModuleBase::Matrix3::e31

e32

double ModuleBase::Matrix3::e32

e33

double ModuleBase::Matrix3::e33

---

The documentation for this class was generated from the following files:

• /home/runner/work/abacus-develop/abacus-develop/source/source_base/matrix3.h
• /home/runner/work/abacus-develop/abacus-develop/source/source_base/matrix3.cpp
• /home/runner/work/abacus-develop/abacus-develop/source/source_hamilt/module_xc/test/xc3_mock.h