MGMatrix is a matix of m by m, where m is the space dimension. [詳解]

公開メンバ関数
	MGMatrix (int sdim=0)

	MGMatrix (const MGVector &, const MGVector &)
	Construct 2D matrix from two vectors. [詳解]

	MGMatrix (const MGVector &, const MGVector &, const MGVector &)
	Construct 3D matrix from three vectors. [詳解]

	MGMatrix (int dim, double scale)

	MGMatrix (int dim, const double *values, bool column_wise=true)
	Construct dim dimension matrix from the array of double values. [詳解]

	MGMatrix (const MGVector &vec, double angle)

	MGMatrix (int dim, int axis1, int axis2, double cosv, double sinv)

	MGMatrix (int dim, const MGMatrix &, int start1=0, int start2=0)

	MGMatrix (const MGMatrix &mat)
	Copy constructor. [詳解]

	~MGMatrix ()

MGMatrix &	operator= (const MGMatrix &mat)
	Assignment. [詳解]

double	operator() (int i, int j) const
	Reference (i,j)-th element. [詳解]

double &	operator() (int i, int j)
	Access to (i,j)-th element. [詳解]

MGMatrix	operator* (double) const

MGMatrix &	operator*= (double)

MGMatrix	operator* (const MGMatrix &) const

MGMatrix &	operator*= (const MGMatrix &)

MGTransf	operator* (const MGTransf &) const

bool	operator== (const MGMatrix &) const

bool	operator!= (const MGMatrix &) const

void	convert_to_glMatrix (glm::mat4 &glMatI) const
	Convert this transf matrix to OpenGL Matrix. [詳解]

double	determinant () const
	行列式の値を返却。 [詳解]

MGMatrix &	from_axis (const MGUnit_vector &uvec, int axis=0)

bool	is_null () const
	Test if this is null. [詳解]

double	ref (int i, int j) const
	Reference to (i,j)-th element of the matarix. [詳解]

MGMatrix &	reflection (const MGVector &vec)

void	resize (int nsdim)

int	sdim () const
	Return space dimension. [詳解]

MGMatrix &	set_x_axis (const MGUnit_vector &unit)

MGMatrix &	set_reflect_2D (const MGVector &)

MGMatrix &	set_rotate_2D (double angle)

MGMatrix &	set_rotate_2D (double cval, double sval)

MGMatrix &	set_axis (const MGUnit_vector &uvec, int axis=0)

MGMatrix &	set_vector (const MGUnit_vector &uvec, int axis=0)

MGMatrix &	set_xy_axis (const MGUnit_vector &uvecx, const MGUnit_vector &uvecy)

MGMatrix &	set_xy_vector (const MGUnit_vector &uvecx, const MGUnit_vector &uvecy)

MGMatrix &	set_reflect_3D (const MGVector &vec)

MGMatrix &	set_rotate (const MGVector &V0, const MGVector &V1)

MGMatrix &	set_rotate_3D (const MGVector &vec, double angle)

MGMatrix &	set_rotate_3D (const MGVector &vec, double cval, double sval)

MGMatrix &	set_scale (double)

MGMatrix &	set_diff_scale (double *)

MGMatrix &	set_glMatrix (const double glMat[16])
	Set up this matrix from OpenGL matrix. [詳解]

void	set_null ()
	Set this as a null matrix. [詳解]

MGMatrix	transpose () const

MGMatrix &	to_axis (const MGUnit_vector &uvec, int axis=0)

int	dump_size () const

int	dump (MGOfstream &) const
	Dump Function. [詳解]

int	restore (MGIfstream &)
	Restore Function. [詳解]

double	scale () const
	Obtain the scaling factor of this matrix. [詳解]

フレンド
MG_DLL_DECLR friend MGMatrix	operator* (double scale, const MGMatrix &mat)

MG_DLL_DECLR friend std::ostream &	operator<< (std::ostream &, const MGMatrix &)
	String stream Function. [詳解]

詳解

MGMatrix is a matix of m by m, where m is the space dimension.

MGMatrix provides transformation around the origin. General transformation is provided by MGTransf. Let M be a matrix and A be an object(including MGVector). Then matrix transformation of the object A is defined as: A*M. (Not M*A)

構築子と解体子

MGMatrix::MGMatrix ( int sdim = 0 )

explicit

void constructor:void コンストラクタ When sdim>=1, MGMatrix is initialized as a unit matrix.

MGMatrix::MGMatrix	(	const MGVector &	,
		const MGVector &
	)

Construct 2D matrix from two vectors.

MGMatrix::MGMatrix	(	const MGVector &	,
		const MGVector &	,
		const MGVector &
	)

Construct 3D matrix from three vectors.

MGMatrix::MGMatrix	(	int	dim,
		double	scale
	)

各軸方向で等しい Scaling のためのMatrixを生成。 Scaling matrix of same scaling value for each coordinate.

MGMatrix::MGMatrix	(	int	dim,
		const double *	values,
		bool	column_wise = `true`
	)

Construct dim dimension matrix from the array of double values.

引数

dim	dimension of the matrix.
values	array of values[dim*dim].
column_wise	If column_wise=true, (this)(i,j)=values[i+dimj], else(row_wise), (this)(i,j)=values[j+dimi], for 0<=i,j<=dim-1.

MGMatrix::MGMatrix	(	const MGVector &	vec,
		double	angle
	)

与えられたVector回りに指定の角度回転させるMatrixを作成する。　Rotation matrix around vec. Space dimension of vec can be any number, i.e. can be more than 3.

MGMatrix::MGMatrix	(	int	dim,
		int	axis1,
		int	axis2,
		double	cosv,
		double	sinv
	)

Construct a matrix to rotate in (axis1, axis2) plane by algle theta, where angle is defined as cosv=cos(angle), and sinv=sin(angle).

引数

dim	Space dimension(can be more than 3).
axis1	axis number 1
axis2	axis number 2
cosv	cosv=cos(angle),
sinv	sinv=sin(angel). That is cosvcosv+sinvsinv must be 1.

MGMatrix::MGMatrix	(	int	dim,
		const MGMatrix &	,
		int	start1 = `0`,
		int	start2 = `0`
	)

Construct Matrix by copying old Matrix, changing space dimension and ordering of old coordinates.

MGMatrix::MGMatrix ( const MGMatrix & mat )

Copy constructor.

MGMatrix::~MGMatrix ( )

inline

関数詳解

void MGMatrix::convert_to_glMatrix ( glm::mat4 & glMatI ) const

Convert this transf matrix to OpenGL Matrix.

double MGMatrix::determinant ( ) const

行列式の値を返却。

int MGMatrix::dump ( MGOfstream & ) const

Dump Function.

int MGMatrix::dump_size ( ) const

Dump Functions. Calculate dump size

MGMatrix& MGMatrix::from_axis	(	const MGUnit_vector &	uvec,
		int	axis = `0`
	)

Construct a matrix to transform a unit vector on an axis to a vector 'uvec', and replace own matrix with it. Inverse matrix of to_axis. axis can be any number(can be more than 2).

引数

uvec	Unit vector for an axis.
axis	Axis kind 0:x, 1:y, 2:z, ...

bool MGMatrix::is_null ( ) const

inline

Test if this is null.

bool MGMatrix::operator!= ( const MGMatrix & ) const

double MGMatrix::operator()	(	int	i,
		int	j
	)		const

inline

Reference (i,j)-th element.

double& MGMatrix::operator()	(	int	i,
		int	j
	)

inline

Access to (i,j)-th element.

MGMatrix MGMatrix::operator* ( double ) const

自身のMatrixと与えられたscaleの乗算を行いオブジェクトを生成。 Scaling of the matrix.

MGMatrix MGMatrix::operator* ( const MGMatrix & ) const

自身のMatrixと与えられたMatrixの乗算を行いオブジェクトを生成。 Matrix and matrix multiplication.

MGTransf MGMatrix::operator* ( const MGTransf & ) const

自身のMatrixと与えられたTransfの乗算を行いオブジェクトを生成。 Matrix and Transf multiplication.

MGMatrix& MGMatrix::operator*= ( double )

自身のMatrixと与えられたscaleの乗算し自身のMatrixとする。 Scaling of the matrix.

MGMatrix& MGMatrix::operator*= ( const MGMatrix & )

自身のMatrixと与えられたMatrixの乗算し自身のMatrixとする。 Matrix and matrix multiplication.

MGMatrix& MGMatrix::operator= ( const MGMatrix & mat )

Assignment.

bool MGMatrix::operator== ( const MGMatrix & ) const

Boolean Operation 自身のMatrixと与えられたMatrixが等しいかどうか比較を行う。 Equation comparison.

double MGMatrix::ref	(	int	i,
		int	j
	)		const

Reference to (i,j)-th element of the matarix.

MGMatrix& MGMatrix::reflection ( const MGVector & vec )

Construct a mirror reflection matrix about a plane whose normal is vec and that passes through the origin, then replace own matrix with it.

void MGMatrix::resize ( int nsdim )

Resize, i.e., change, the space dimension. Result matreix will contain garbages.

int MGMatrix::restore ( MGIfstream & )

Restore Function.

double MGMatrix::scale ( ) const

Obtain the scaling factor of this matrix.

int MGMatrix::sdim ( ) const

inline

Return space dimension.

MGMatrix& MGMatrix::set_axis	(	const MGUnit_vector &	uvec,
		int	axis = `0`
	)

Construct a 3D matrix to transform a vector 'uvec' to be one of the axises, and replace own matrix. Inverse matrix of set_vector. 3D version of to_axis.

引数

uvec	Unit vector to be an axis.
axis	Axis kind 0:x, 1:y, 2:z.

MGMatrix& MGMatrix::set_diff_scale ( double * )

各軸方向で異なる Scaling のためのMatrixを生成し、既存の Matrixと入れ換える。 Scaling matrix of different scaling values for each coordinate. Not change space dimension.

MGMatrix& MGMatrix::set_glMatrix ( const double glMat[16] )

Set up this matrix from OpenGL matrix.

void MGMatrix::set_null ( )

Set this as a null matrix.

MGMatrix& MGMatrix::set_reflect_2D ( const MGVector & )

原点を通り、指定Vectorに関して鏡面変換する 2D Matrixを作成し，既存のMatrixと入れ換える。 Mirror reflection 2D matrix about a vector through origin.

MGMatrix& MGMatrix::set_reflect_3D ( const MGVector & vec )

原点を通り、指定Vectorに垂直な平面に関して鏡面変換する 3D Matrix を既存のMatrixと入れ換える。 3D mirror reflection matrix about a plane whose normal is vec and passes through the origin.

MGMatrix& MGMatrix::set_rotate	(	const MGVector &	V0,
		const MGVector &	V1
	)

（原点を基点とする）Vector V0 を V1に変換するMatrixを作成し、自身のMatrixと入れ換える。 Construct the matrix to rotate and scale that transform vector V0 to V1, and replace this matrix with the matrix. Space dimension of V0 and V1 can be any number greater than 1.

MGMatrix& MGMatrix::set_rotate_2D ( double angle )

原点の回りに指定の角度回転させる2D Matrixを作成し, 既存の Matrixと入れ換える。 Rotation 2D matrix around origin by angle(in radian).

MGMatrix& MGMatrix::set_rotate_2D	(	double	cval,
		double	sval
	)

Rotation 2D matrix around origin by an angle. The angle is given by cval as cos(angle) and sval as sin(angle).

MGMatrix& MGMatrix::set_rotate_3D	(	const MGVector &	vec,
		double	angle
	)

与えられたVector回りに指定の角度回転させる3D Matrixを作成し既存の Matrixと入れ換える。 3D rotation matrix around vec.

MGMatrix& MGMatrix::set_rotate_3D	(	const MGVector &	vec,
		double	cval,
		double	sval
	)

3D rotation matrix around vec. The angle is given by cval as cos(angle) and sval as sin(angle).

MGMatrix& MGMatrix::set_scale ( double )

各軸方向で等しい Scaling のためのMatrixを生成し、既存の Matrixと入れ換える Scaling matrix of same scaling value for each coordinate. Not change space dimension.

MGMatrix& MGMatrix::set_vector	(	const MGUnit_vector &	uvec,
		int	axis = `0`
	)

Construct a matrix to transform a unit vector on an axis to a vector 'uvec', and replace own matrix with it. Inverse matrix of set_axis. 3D version of from_axis.

引数

uvec	Unit vector for an axis.
axis	Axis kind 0:x, 1:y, 2:z.

MGMatrix& MGMatrix::set_x_axis ( const MGUnit_vector & unit )

Construct 2D space Matrix to transform for 'unit' to be x-coordimate, and replace own Matrix with it. 2D version of to_axis.

引数

unit	unit vector to be x-coordinate

MGMatrix& MGMatrix::set_xy_axis	(	const MGUnit_vector &	uvecx,
		const MGUnit_vector &	uvecy
	)

与えられた２つの単位ベクトルを各々、X軸、Y軸にするよう原点の周りに回転させる 3D Matrix を生成し，自身のMatrixと入れ替える。もし、２つ目の単位ベクトルが１つ目の単位ベクトルと直交しない場合は、２つのベクトルのかわりに両ベクトルを含む平面内で直交するよう変換したベクトルを使用する。 3D Matrix to transform uvecx to be x-axis and uvecy to be y-axis. If uvecx and uvecy does not cross at right angle, uvecy will be transformed.

引数

uvecx	Unit vector 1 for x axis.
uvecy	Unit vector 2 for y axis.

MGMatrix& MGMatrix::set_xy_vector	(	const MGUnit_vector &	uvecx,
		const MGUnit_vector &	uvecy
	)

X軸、Y軸を各々、与えられた２つの単位ベクトルにするよう原点の周りに回転させる 3D Matrix を生成し，自身のMatrixと入れ替える。もし、２つ目の単位ベクトルが１つ目の単位ベクトルと直交しない場合は、２つのベクトルのかわりに両ベクトルを含む平面内で直交するよう変換したベクトルを使用する。 3D matrix to transform x and y axis to be uvecx and uvecy. This is the inverse matrix of set_xy_axis(). If uvecy does not cross uvecx at right angle, uvecy is transformed to do so.

引数

uvecx	Unit vector 1 for x axis.
uvecy	Unit vector 2 for y axis.

MGMatrix& MGMatrix::to_axis	(	const MGUnit_vector &	uvec,
		int	axis = `0`
	)

Construct a matrix to transform a vector 'uvec' to be one of the axises, and replace own matrix. Inverse matrix of from_axis. axis can be any number(can be more than 2).

引数

uvec	Unit vector to be an axis.
axis	Axis kind 0:x, 1:y, 2:z, ...

MGMatrix MGMatrix::transpose ( ) const

転置Matrixを生成。 Transpose matrix.

フレンドと関連関数の詳解

MG_DLL_DECLR friend MGMatrix operator*	(	double	scale,
		const MGMatrix &	mat
	)

friend

自身のMatrixと与えられたscaleの乗算を行いオブジェクトを生成。 Scaling of the matrix.

MG_DLL_DECLR friend std::ostream& operator<<	(	std::ostream &	,
		const MGMatrix &
	)

friend

String stream Function.

このクラス詳解は次のファイルから抽出されました:

mg/Matrix.h

公開メンバ関数

フレンド

詳解

構築子と解体子

関数詳解

フレンドと関連関数の詳解