Functions | Variables
Math3d Namespace Reference
Mathematic functions and operations

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 }
 

Detailed Description

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

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.

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.


asr_ivt
Author(s): Allgeyer Tobias, Hutmacher Robin, Kleinert Daniel, Meißner Pascal, Scholz Jonas, Stöckle Patrick
autogenerated on Mon Dec 2 2019 03:47:28