Math3d Namespace Reference

Efficient mathematic functions operating on the data types Vec3d, Mat3d, Transformation3d, and Quaternion. More...

Functions
void	AddMatMat (const Mat3d &matrix1, const Mat3d &matrix2, Mat3d &matrix)
void	AddToMat (Mat3d &matrix, const Mat3d &matrixToAdd)
void	AddToVec (Vec3d &vec, const Vec3d &vectorToAdd)
void	AddVecVec (const Vec3d &vector1, const Vec3d &vector2, Vec3d &result)
float	Angle (const Vec3d &vector1, const Vec3d &vector2)
float	Angle (const Vec3d &vector1, const Vec3d &vector2, const Vec3d &axis)
void	Average (const Vec3d &vector1, const Vec3d &vector2, Vec3d &result)
void	CrossProduct (const Vec3d &vector1, const Vec3d &vector2, Vec3d &result)
float	Det (const Mat3d &matrix)
float	Distance (const Vec3d &vector1, const Vec3d &vector2)
float	EvaluateForm (const Vec3d &matrix1, const Mat3d &matrix2)
void	GetAxisAndAngle (const Mat3d &R, Vec3d &axis, float &angle)
void	Invert (const Mat3d &matrix, Mat3d &result)
void	Invert (const Transformation3d &input, Transformation3d &result)
float	Length (const Vec3d &vec)
bool	LoadFromFile (Vec3d &vector, const char *pFilePath)
bool	LoadFromFile (Mat3d &matrix, const char *pFilePath)
bool	LoadFromFile (Transformation3d &transformation, const char *pFilePath)
void	Mean (const CVec3dArray &vectorList, Vec3d &result)
void	Mean (const Vec3d *pVectors, int nVectors, Vec3d &result)
void	MulMatMat (const Mat3d &matrix1, const Mat3d &matrix2, Mat3d &result)
void	MulMatScalar (const Mat3d &matrix, float scalar, Mat3d &result)
void	MulMatVec (const Mat3d &matrix, const Vec3d &vec, Vec3d &result)
void	MulMatVec (const Mat3d &matrix, const Vec3d &vector1, const Vec3d &vector2, Vec3d &result)
void	MulQuatQuat (const Quaternion &quat1, const Quaternion &quat2, Quaternion &result)
void	MulTransTrans (const Transformation3d &transformation1, const Transformation3d &transformation2, Transformation3d &result)
void	MulTransVec (const Transformation3d &transformation, const Vec3d &vec, Vec3d &result)
void	MulVecScalar (const Vec3d &vec, float scalar, Vec3d &result)
void	MulVecTransposedVec (const Vec3d &vector1, const Vec3d &vector2, Mat3d &result)
void	NormalizeVec (Vec3d &vec)
void	RotateVec (const Vec3d &vec, const Vec3d &rotation, Vec3d &result)
void	RotateVecAngleAxis (const Vec3d &vec, const Vec3d &axis, float theta, Vec3d &result)
void	RotateVecQuaternion (const Vec3d &vec, const Vec3d &axis, float theta, Vec3d &result)
void	RotateVecYZX (const Vec3d &vec, const Vec3d &rotation, Vec3d &result)
bool	SaveToFile (const Vec3d &vector, const char *pFilePath)
bool	SaveToFile (const Mat3d &matrix, const char *pFilePath)
bool	SaveToFile (const Transformation3d &transformation, const char *pFilePath)
float	ScalarProduct (const Vec3d &vector1, const Vec3d &vector2)
void	SetMat (Mat3d &matrix, float r1, float r2, float r3, float r4, float r5, float r6, float r7, float r8, float r9)
void	SetMat (Mat3d &matrix, const Mat3d &sourceMatrix)
void	SetRotationMat (Mat3d &matrix, const Vec3d &axis, float theta)
void	SetRotationMat (Mat3d &matrix, float alpha, float beta, float gamma)
void	SetRotationMat (Mat3d &matrix, const Vec3d &rotation)
void	SetRotationMatAxis (Mat3d &matrix, const Vec3d &axis, float theta)
void	SetRotationMatX (Mat3d &matrix, float theta)
void	SetRotationMatY (Mat3d &matrix, float theta)
void	SetRotationMatYZX (Mat3d &matrix, const Vec3d &rotation)
void	SetRotationMatZ (Mat3d &matrix, float theta)
void	SetTransformation (Transformation3d &transformation, const Vec3d &rotation, const Vec3d &translation)
void	SetTransformation (Transformation3d &transformation, const Transformation3d &sourceTransformation)
void	SetVec (Vec3d &vec, float x, float y, float z)
void	SetVec (Vec3d &vec, const Vec3d &sourceVector)
float	SquaredDistance (const Vec3d &vector1, const Vec3d &vector2)
float	SquaredLength (const Vec3d &vec)
void	SubtractFromVec (Vec3d &vec, const Vec3d &vectorToSubtract)
void	SubtractMatMat (const Mat3d &matrix1, const Mat3d &matrix2, Mat3d &result)
void	SubtractVecVec (const Vec3d &vector1, const Vec3d &vector2, Vec3d &result)
void	TransformVec (const Vec3d &vec, const Vec3d &rotation, const Vec3d &translation, Vec3d &result)
void	TransformVecYZX (const Vec3d &vec, const Vec3d &rotation, const Vec3d &translation, Vec3d &result)
void	Transpose (const Mat3d &matrix, Mat3d &result)
Variables
const Mat3d	unit_mat = { 1, 0, 0, 0, 1, 0, 0, 0, 1 }
const Mat3d	zero_mat = { 0, 0, 0, 0, 0, 0, 0, 0 ,0 }
const Vec3d	zero_vec = { 0, 0, 0 }

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Detailed Description

Efficient mathematic functions operating on the data types Vec3d, Mat3d, Transformation3d, and Quaternion.

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Function Documentation

void Math3d::AddMatMat	(	const Mat3d &	matrix1,
		const Mat3d &	matrix2,
		Mat3d &	matrix
	)

Definition at line 682 of file Math3d.cpp.

void Math3d::AddToMat	(	Mat3d &	matrix,
		const Mat3d &	matrixToAdd
	)

Definition at line 695 of file Math3d.cpp.

void Math3d::AddToVec	(	Vec3d &	vec,
		const Vec3d &	vectorToAdd
	)

Definition at line 481 of file Math3d.cpp.

void Math3d::AddVecVec	(	const Vec3d &	vector1,
		const Vec3d &	vector2,
		Vec3d &	result
	)

Definition at line 495 of file Math3d.cpp.

float Math3d::Angle	(	const Vec3d &	vector1,
		const Vec3d &	vector2
	)

Definition at line 613 of file Math3d.cpp.

float Math3d::Angle	(	const Vec3d &	vector1,
		const Vec3d &	vector2,
		const Vec3d &	axis
	)

Definition at line 842 of file Math3d.cpp.

void Math3d::Average	(	const Vec3d &	vector1,
		const Vec3d &	vector2,
		Vec3d &	result
	)

Definition at line 886 of file Math3d.cpp.

void Math3d::CrossProduct	(	const Vec3d &	vector1,
		const Vec3d &	vector2,
		Vec3d &	result
	)

Definition at line 564 of file Math3d.cpp.

float Math3d::Det

(

const Mat3d &

matrix

)

Definition at line 721 of file Math3d.cpp.

float Math3d::Distance	(	const Vec3d &	vector1,
		const Vec3d &	vector2
	)

Definition at line 595 of file Math3d.cpp.

float Math3d::EvaluateForm	(	const Vec3d &	matrix1,
		const Mat3d &	matrix2
	)

Definition at line 626 of file Math3d.cpp.

void Math3d::GetAxisAndAngle	(	const Mat3d &	R,
		Vec3d &	axis,
		float &	angle
	)

Definition at line 872 of file Math3d.cpp.

void Math3d::Invert	(	const Mat3d &	matrix,
		Mat3d &	result
	)

Definition at line 657 of file Math3d.cpp.

void Math3d::Invert	(	const Transformation3d &	input,
		Transformation3d &	result
	)

Definition at line 744 of file Math3d.cpp.

float Math3d::Length

(

const Vec3d &

vec

)

Definition at line 585 of file Math3d.cpp.

bool Math3d::LoadFromFile	(	Vec3d &	vector,
		const char *	pFilePath
	)

Definition at line 68 of file Math3d.cpp.

bool Math3d::LoadFromFile	(	Mat3d &	matrix,
		const char *	pFilePath
	)

Definition at line 104 of file Math3d.cpp.

bool Math3d::LoadFromFile	(	Transformation3d &	transformation,
		const char *	pFilePath
	)

Definition at line 143 of file Math3d.cpp.

void Math3d::Mean	(	const CVec3dArray &	vectorList,
		Vec3d &	result
	)

Definition at line 893 of file Math3d.cpp.

void Math3d::Mean	(	const Vec3d *	pVectors,
		int	nVectors,
		Vec3d &	result
	)

Definition at line 898 of file Math3d.cpp.

void Math3d::MulMatMat	(	const Mat3d &	matrix1,
		const Mat3d &	matrix2,
		Mat3d &	result
	)

Definition at line 444 of file Math3d.cpp.

void Math3d::MulMatScalar	(	const Mat3d &	matrix,
		float	scalar,
		Mat3d &	result
	)

Definition at line 509 of file Math3d.cpp.

void Math3d::MulMatVec	(	const Mat3d &	matrix,
		const Vec3d &	vec,
		Vec3d &	result
	)

Definition at line 422 of file Math3d.cpp.

void Math3d::MulMatVec	(	const Mat3d &	matrix,
		const Vec3d &	vector1,
		const Vec3d &	vector2,
		Vec3d &	result
	)

Definition at line 433 of file Math3d.cpp.

void Math3d::MulQuatQuat	(	const Quaternion &	quat1,
		const Quaternion &	quat2,
		Quaternion &	result
	)

Definition at line 763 of file Math3d.cpp.

void Math3d::MulTransTrans	(	const Transformation3d &	transformation1,
		const Transformation3d &	transformation2,
		Transformation3d &	result
	)

Definition at line 751 of file Math3d.cpp.

void Math3d::MulTransVec	(	const Transformation3d &	transformation,
		const Vec3d &	vec,
		Vec3d &	result
	)

Definition at line 757 of file Math3d.cpp.

void Math3d::MulVecScalar	(	const Vec3d &	vec,
		float	scalar,
		Vec3d &	result
	)

Definition at line 502 of file Math3d.cpp.

void Math3d::MulVecTransposedVec	(	const Vec3d &	vector1,
		const Vec3d &	vector2,
		Mat3d &	result
	)

Definition at line 467 of file Math3d.cpp.

void Math3d::NormalizeVec

(

Vec3d &

vec

)

Definition at line 573 of file Math3d.cpp.

void Math3d::RotateVec	(	const Vec3d &	vec,
		const Vec3d &	rotation,
		Vec3d &	result
	)

Definition at line 530 of file Math3d.cpp.

void Math3d::RotateVecAngleAxis	(	const Vec3d &	vec,
		const Vec3d &	axis,
		float	theta,
		Vec3d &	result
	)

Definition at line 835 of file Math3d.cpp.

void Math3d::RotateVecQuaternion	(	const Vec3d &	vec,
		const Vec3d &	axis,
		float	theta,
		Vec3d &	result
	)

Definition at line 777 of file Math3d.cpp.

void Math3d::RotateVecYZX	(	const Vec3d &	vec,
		const Vec3d &	rotation,
		Vec3d &	result
	)

Definition at line 544 of file Math3d.cpp.

bool Math3d::SaveToFile	(	const Vec3d &	vector,
		const char *	pFilePath
	)

Definition at line 183 of file Math3d.cpp.

bool Math3d::SaveToFile	(	const Mat3d &	matrix,
		const char *	pFilePath
	)

Definition at line 200 of file Math3d.cpp.

bool Math3d::SaveToFile	(	const Transformation3d &	transformation,
		const char *	pFilePath
	)

Definition at line 220 of file Math3d.cpp.

float Math3d::ScalarProduct	(	const Vec3d &	vector1,
		const Vec3d &	vector2
	)

Definition at line 559 of file Math3d.cpp.

void Math3d::SetMat	(	Mat3d &	matrix,
		float	r1,
		float	r2,
		float	r3,
		float	r4,
		float	r5,
		float	r6,
		float	r7,
		float	r8,
		float	r9
	)

Definition at line 257 of file Math3d.cpp.

void Math3d::SetMat	(	Mat3d &	matrix,
		const Mat3d &	sourceMatrix
	)

Definition at line 270 of file Math3d.cpp.

void Math3d::SetRotationMat	(	Mat3d &	matrix,
		const Vec3d &	axis,
		float	theta
	)

Definition at line 367 of file Math3d.cpp.

void Math3d::SetRotationMat	(	Mat3d &	matrix,
		float	alpha,
		float	beta,
		float	gamma
	)

Definition at line 307 of file Math3d.cpp.

void Math3d::SetRotationMat	(	Mat3d &	matrix,
		const Vec3d &	rotation
	)

Definition at line 283 of file Math3d.cpp.

void Math3d::SetRotationMatAxis	(	Mat3d &	matrix,
		const Vec3d &	axis,
		float	theta
	)

Definition at line 399 of file Math3d.cpp.

void Math3d::SetRotationMatX	(	Mat3d &	matrix,
		float	theta
	)

Definition at line 340 of file Math3d.cpp.

void Math3d::SetRotationMatY	(	Mat3d &	matrix,
		float	theta
	)

Definition at line 349 of file Math3d.cpp.

void Math3d::SetRotationMatYZX	(	Mat3d &	matrix,
		const Vec3d &	rotation
	)

Definition at line 327 of file Math3d.cpp.

void Math3d::SetRotationMatZ	(	Mat3d &	matrix,
		float	theta
	)

Definition at line 358 of file Math3d.cpp.

void Math3d::SetTransformation	(	Transformation3d &	transformation,
		const Vec3d &	rotation,
		const Vec3d &	translation
	)

Definition at line 732 of file Math3d.cpp.

void Math3d::SetTransformation	(	Transformation3d &	transformation,
		const Transformation3d &	sourceTransformation
	)

Definition at line 738 of file Math3d.cpp.

void Math3d::SetVec	(	Vec3d &	vec,
		float	x,
		float	y,
		float	z
	)

Definition at line 243 of file Math3d.cpp.

void Math3d::SetVec	(	Vec3d &	vec,
		const Vec3d &	sourceVector
	)

Definition at line 250 of file Math3d.cpp.

float Math3d::SquaredDistance	(	const Vec3d &	vector1,
		const Vec3d &	vector2
	)

Definition at line 604 of file Math3d.cpp.

float Math3d::SquaredLength

(

const Vec3d &

vec

)

Definition at line 590 of file Math3d.cpp.

void Math3d::SubtractFromVec	(	Vec3d &	vec,
		const Vec3d &	vectorToSubtract
	)

Definition at line 488 of file Math3d.cpp.

void Math3d::SubtractMatMat	(	const Mat3d &	matrix1,
		const Mat3d &	matrix2,
		Mat3d &	result
	)

Definition at line 708 of file Math3d.cpp.

void Math3d::SubtractVecVec	(	const Vec3d &	vector1,
		const Vec3d &	vector2,
		Vec3d &	result
	)

Definition at line 522 of file Math3d.cpp.

void Math3d::TransformVec	(	const Vec3d &	vec,
		const Vec3d &	rotation,
		const Vec3d &	translation,
		Vec3d &	result
	)

Definition at line 537 of file Math3d.cpp.

void Math3d::TransformVecYZX	(	const Vec3d &	vec,
		const Vec3d &	rotation,
		const Vec3d &	translation,
		Vec3d &	result
	)

Definition at line 551 of file Math3d.cpp.

void Math3d::Transpose	(	const Mat3d &	matrix,
		Mat3d &	result
	)

Definition at line 635 of file Math3d.cpp.

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Variable Documentation

const Mat3d Math3d::unit_mat = { 1, 0, 0, 0, 1, 0, 0, 0, 1 }

Definition at line 60 of file Math3d.cpp.

const Mat3d Math3d::zero_mat = { 0, 0, 0, 0, 0, 0, 0, 0 ,0 }

Definition at line 61 of file Math3d.cpp.

const Vec3d Math3d::zero_vec = { 0, 0, 0 }

Definition at line 59 of file Math3d.cpp.