Math3d.h File Reference

#include <vector>
#include "DataStructures/DynamicArrayTemplate.h"

Include dependency graph for Math3d.h:

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

Go to the source code of this file.

Classes
struct	Mat3d
	Data structure for the representation of a 3x3 matrix. More...
struct	Quaternion
	Data structure for the representation of a quaternion. More...
struct	Transformation3d
	Data structure for the representation of a 3D rigid body transformation. More...
struct	Vec3d
	Data structure for the representation of a 3D vector. More...

Namespaces
	Math3d
	Efficient mathematic functions operating on the data types Vec3d, Mat3d, Transformation3d, and Quaternion.

Typedefs
typedef CDynamicArrayTemplate< Vec3d >	CVec3dArray
typedef std::vector< Vec3d >	Vec3dList

Functions
void	Math3d::AddMatMat (const Mat3d &matrix1, const Mat3d &matrix2, Mat3d &matrix)
void	Math3d::AddToMat (Mat3d &matrix, const Mat3d &matrixToAdd)
void	Math3d::AddToVec (Vec3d &vec, const Vec3d &vectorToAdd)
void	Math3d::AddVecVec (const Vec3d &vector1, const Vec3d &vector2, Vec3d &result)
float	Math3d::Angle (const Vec3d &vector1, const Vec3d &vector2)
float	Math3d::Angle (const Vec3d &vector1, const Vec3d &vector2, const Vec3d &axis)
void	Math3d::Average (const Vec3d &vector1, const Vec3d &vector2, Vec3d &result)
void	Math3d::CrossProduct (const Vec3d &vector1, const Vec3d &vector2, Vec3d &result)
float	Math3d::Det (const Mat3d &matrix)
float	Math3d::Distance (const Vec3d &vector1, const Vec3d &vector2)
float	Math3d::EvaluateForm (const Vec3d &matrix1, const Mat3d &matrix2)
void	Math3d::GetAxisAndAngle (const Mat3d &R, Vec3d &axis, float &angle)
void	Math3d::Invert (const Mat3d &matrix, Mat3d &result)
void	Math3d::Invert (const Transformation3d &input, Transformation3d &result)
float	Math3d::Length (const Vec3d &vec)
bool	Math3d::LoadFromFile (Vec3d &vector, const char *pFilePath)
bool	Math3d::LoadFromFile (Mat3d &matrix, const char *pFilePath)
bool	Math3d::LoadFromFile (Transformation3d &transformation, const char *pFilePath)
void	Math3d::Mean (const CVec3dArray &vectorList, Vec3d &result)
void	Math3d::Mean (const Vec3d *pVectors, int nVectors, Vec3d &result)
void	Math3d::MulMatMat (const Mat3d &matrix1, const Mat3d &matrix2, Mat3d &result)
void	Math3d::MulMatScalar (const Mat3d &matrix, float scalar, Mat3d &result)
void	Math3d::MulMatVec (const Mat3d &matrix, const Vec3d &vec, Vec3d &result)
void	Math3d::MulMatVec (const Mat3d &matrix, const Vec3d &vector1, const Vec3d &vector2, Vec3d &result)
void	Math3d::MulQuatQuat (const Quaternion &quat1, const Quaternion &quat2, Quaternion &result)
void	Math3d::MulTransTrans (const Transformation3d &transformation1, const Transformation3d &transformation2, Transformation3d &result)
void	Math3d::MulTransVec (const Transformation3d &transformation, const Vec3d &vec, Vec3d &result)
void	Math3d::MulVecScalar (const Vec3d &vec, float scalar, Vec3d &result)
void	Math3d::MulVecTransposedVec (const Vec3d &vector1, const Vec3d &vector2, Mat3d &result)
void	Math3d::NormalizeVec (Vec3d &vec)
void	Math3d::RotateVec (const Vec3d &vec, const Vec3d &rotation, Vec3d &result)
void	Math3d::RotateVecAngleAxis (const Vec3d &vec, const Vec3d &axis, float theta, Vec3d &result)
void	Math3d::RotateVecQuaternion (const Vec3d &vec, const Vec3d &axis, float theta, Vec3d &result)
void	Math3d::RotateVecYZX (const Vec3d &vec, const Vec3d &rotation, Vec3d &result)
bool	Math3d::SaveToFile (const Vec3d &vector, const char *pFilePath)
bool	Math3d::SaveToFile (const Mat3d &matrix, const char *pFilePath)
bool	Math3d::SaveToFile (const Transformation3d &transformation, const char *pFilePath)
float	Math3d::ScalarProduct (const Vec3d &vector1, const Vec3d &vector2)
void	Math3d::SetMat (Mat3d &matrix, float r1, float r2, float r3, float r4, float r5, float r6, float r7, float r8, float r9)
void	Math3d::SetMat (Mat3d &matrix, const Mat3d &sourceMatrix)
void	Math3d::SetRotationMat (Mat3d &matrix, const Vec3d &axis, float theta)
void	Math3d::SetRotationMat (Mat3d &matrix, float alpha, float beta, float gamma)
void	Math3d::SetRotationMat (Mat3d &matrix, const Vec3d &rotation)
void	Math3d::SetRotationMatAxis (Mat3d &matrix, const Vec3d &axis, float theta)
void	Math3d::SetRotationMatX (Mat3d &matrix, float theta)
void	Math3d::SetRotationMatY (Mat3d &matrix, float theta)
void	Math3d::SetRotationMatYZX (Mat3d &matrix, const Vec3d &rotation)
void	Math3d::SetRotationMatZ (Mat3d &matrix, float theta)
void	Math3d::SetTransformation (Transformation3d &transformation, const Vec3d &rotation, const Vec3d &translation)
void	Math3d::SetTransformation (Transformation3d &transformation, const Transformation3d &sourceTransformation)
void	Math3d::SetVec (Vec3d &vec, float x, float y, float z)
void	Math3d::SetVec (Vec3d &vec, const Vec3d &sourceVector)
float	Math3d::SquaredDistance (const Vec3d &vector1, const Vec3d &vector2)
float	Math3d::SquaredLength (const Vec3d &vec)
void	Math3d::SubtractFromVec (Vec3d &vec, const Vec3d &vectorToSubtract)
void	Math3d::SubtractMatMat (const Mat3d &matrix1, const Mat3d &matrix2, Mat3d &result)
void	Math3d::SubtractVecVec (const Vec3d &vector1, const Vec3d &vector2, Vec3d &result)
void	Math3d::TransformVec (const Vec3d &vec, const Vec3d &rotation, const Vec3d &translation, Vec3d &result)
void	Math3d::TransformVecYZX (const Vec3d &vec, const Vec3d &rotation, const Vec3d &translation, Vec3d &result)
void	Math3d::Transpose (const Mat3d &matrix, Mat3d &result)

Variables
const Mat3d	Math3d::unit_mat = { 1, 0, 0, 0, 1, 0, 0, 0, 1 }
const Mat3d	Math3d::zero_mat = { 0, 0, 0, 0, 0, 0, 0, 0 ,0 }
const Vec3d	Math3d::zero_vec = { 0, 0, 0 }

Typedef Documentation

typedef CDynamicArrayTemplate<Vec3d> CVec3dArray

Definition at line 127 of file Math3d.h.

typedef std::vector<Vec3d> Vec3dList

Definition at line 126 of file Math3d.h.