CSIBCXfoMatd Class Reference
Class representing a 4x4 transformation matrix.
More...#include <SIBCXfoMatd.h>
Inheritance diagram for CSIBCXfoMatd:
List of all members.
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Public Member Functions
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CSIBCXfoMatd (void) |
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CSIBCXfoMatd (const CSIBCVector4Dd &in_vct0, const CSIBCVector4Dd &in_vct1, const CSIBCVector4Dd &in_vct2, const CSIBCVector4Dd &in_vct3, const bool in_bAreRows=true) |
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CSIBCXfoMatd (const double in_dA00, const double in_dA01, const double in_dA02, const double in_dA03, const double in_dA10, const double in_dA11, const double in_dA12, const double in_dA13, const double in_dA20, const double in_dA21, const double in_dA22, const double in_dA23, const double in_dA30, const double in_dA31, const double in_dA32, const double in_dA33) |
| double |
Get (const int in_nRow, const int in_nCol) const |
| const double * |
GetArray () const |
| CSIBCXfoMatd & |
Set (int in_nRow, int in_nCol, const double in_dVal) |
| CSIBCXfoMatd & |
Set (double in_dVal[4][4]) |
| CSIBCXfoMatd & |
Set (double in_dVal[3][3]) |
| CSIBCXfoMatd & |
Set (const CSIBCMatrix44d &in_mat) |
| CSIBCXfoMatd & |
Set (const CSIBCMatrix33d &in_mat) |
| CSIBCXfoMatd & |
Set (const CSIBCXfoMatd &in_mat) |
| CSIBCXfoMatd & |
Set (const CSIBCRotMatd &in_mat) |
| CSIBCXfoMatd & |
SetWithTranspose (const CSIBCRotMatd &in_mat) |
| CSIBCXfoMatd & |
SetRow (const int in_nRow, const CSIBCVector4Dd &in_vct) |
| CSIBCXfoMatd & |
SetRow (const int in_nRow, double in_dA0, double in_dA1, double in_dA2, double in_dA3) |
| CSIBCXfoMatd & |
SetCol (const int in_nCol, const CSIBCVector4Dd &in_vct) |
| CSIBCXfoMatd & |
SetCol (const int in_nCol, double in_dA0, double in_dA1, double in_dA2, double in_dA3) |
| CSIBCXfoMatd & |
SetIdentity (void) |
| bool |
operator== (const CSIBCMatrix44d &in_mat) const |
| bool |
operator!= (const CSIBCMatrix44d &in_mat) const |
| CSIBCXfoMatd & |
Mul (const CSIBCXfoMatd &in_mat1, const CSIBCXfoMatd &in_mat2) |
| CSIBCXfoMatd & |
Mul (const CSIBCXfoMatd &in_mat) |
| CSIBCXfoMatd & |
Mul (const CSIBCXfoMatd &in_xfomat, const CSIBCRotMatd &in_rotmat) |
| CSIBCXfoMatd & |
Mul (const CSIBCRotMatd &in_rotmat, const CSIBCXfoMatd &in_xfomat) |
| CSIBCXfoMatd & |
MulTransByReg (const CSIBCRotMatd &in_rotmat, const CSIBCXfoMatd &in_xfomat) |
| double |
GetDet (void) const |
| double |
GetDet33 (void) const |
| double |
GetTrace (void) const |
| CSIBCXfoMatd & |
Transpose (const CSIBCXfoMatd &in_mat) |
| CSIBCXfoMatd & |
Transpose (void) |
| bool |
Invert (const CSIBCXfoMatd &in_mat) |
| bool |
Invert (void) |
| CSIBCVector3Dd & |
GetTranslation (CSIBCVector3Dd &out_vctTrs) const |
| CSIBCXfoMatd & |
SetTranslation (const CSIBCVector3Dd &in_vctTrs) |
| CSIBCXfoMatd & |
AddTranslation (const CSIBCVector3Dd &in_vctTrs) |
| CSIBCRotMatd & |
GetRotation (CSIBCRotMatd &out_matRot) const |
| CSIBCRotationd & |
GetRotation (CSIBCRotationd &out_rot) const |
| CSIBCXfoMatd & |
SetRotation (const CSIBCRotMatd &in_matRot) |
| CSIBCXfoMatd & |
AddRotation (const CSIBCRotMatd &in_matRot) |
| CSIBCVector3Dd & |
GetScaling (CSIBCVector3Dd &out_vctScl) const |
| CSIBCXfoMatd & |
SetScaling (const CSIBCVector3Dd &in_vctScl) |
| CSIBCXfoMatd & |
AddScaling (const CSIBCVector3Dd &in_vctScl, bool in_bPreScaling=true) |
| void |
SetScalingAndRotation (const CSIBCVector3Dd &in_vctScl, CSIBCRotationd &in_rot) |
| void |
GetScalingAndRotation (CSIBCVector3Dd &out_vctScl, CSIBCRotationd &out_rot) const |
| void |
GetAffineDecomposition (CSIBCRotMatd &out_sclRot, CSIBCXfoMatd &out_matSRT) const |
| void |
GetSmartDecomposition (CSIBCVector3D &out_Scale, CSIBCVector3D &out_Rotate, CSIBCVector3D &out_Trans) const |
Friends
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| bool |
AreAlmostEqual (const CSIBCXfoMatd &in_mat1, const CSIBCXfoMatd &in_mat2, const double in_dEpsilon=HEXA_EPS) |
Detailed Description
Class representing a 4x4 transformation matrix.
CSIBCXfoMatd is a specialized 4X4 matrix that represents transformations. It uses double precision floating-point numbers for its data, and operations (as it is derived from CSIBCMatrix44d).
Although transformations may be defined simply with any generic 4X4, this class provides extra methods to make specifying and working with transformation matricies easier. A class for general transformations, independent of matrix form is provided in CSIBCTranfod.
There are several other matrix classes aswell. Classes with specific applications, such as CSIBCRotMatd used for representing rotation matricies, Other matrix classes are not as specialized as CSIBCRotMatd or CSIBCXfoMatd, and are used to represent general matricies. These classes include CSIBCMatrix4x4, CSIBCMatrix44d and CSIBCMartrix33d.
Constructor & Destructor Documentation
Constructor. Sets the rows of the new matrix to be in_vct0, in_vct1, in_vct2, and in_vct3. If in_bAreRows is false, then the input vectors are used as the columns of the new matrix.
- Parameters:
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in_vct0 |
The vector to use for the first row (or column) of the matrix. |
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in_vct1 |
The vector to use for the second row (or column) of the matrix. |
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in_vct2 |
The vector to use for the third row (or column) of the matrix. |
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in_vct3 |
The vector to use for the fourth row (or column) of the matrix. |
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in_bAreRows |
Whether the vectors given represent rows or columns of the matrix (true == Rows, false == Columns). Defaults to true (rows). |
| CSIBCXfoMatd |
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const double |
in_dA00, |
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const double |
in_dA01, |
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const double |
in_dA02, |
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const double |
in_dA03, |
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const double |
in_dA10, |
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const double |
in_dA11, |
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const double |
in_dA12, |
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const double |
in_dA13, |
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const double |
in_dA20, |
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const double |
in_dA21, |
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const double |
in_dA22, |
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const double |
in_dA23, |
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const double |
in_dA30, |
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const double |
in_dA31, |
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const double |
in_dA32, |
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const double |
in_dA33 |
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Constructor. Specifies the value of each element in the new matrix.
- Parameters:
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in_dA00 |
The value for the element in row 1, column 1. |
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in_dA01 |
The value for the element in row 1, column 2. |
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in_dA02 |
The value for the element in row 1, column 3. |
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in_dA03 |
The value for the element in row 1, column 4. |
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in_dA10 |
The value for the element in row 2, column 1. |
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in_dA11 |
The value for the element in row 2, column 2. |
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in_dA12 |
The value for the element in row 2, column 3. |
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in_dA13 |
The value for the element in row 2, column 4. |
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in_dA20 |
The value for the element in row 3, column 1. |
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in_dA21 |
The value for the element in row 3, column 2. |
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in_dA22 |
The value for the element in row 3, column 3. |
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in_dA23 |
The value for the element in row 3, column 4. |
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in_dA30 |
The value for the element in row 4, column 1. |
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in_dA31 |
The value for the element in row 4, column 2. |
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in_dA32 |
The value for the element in row 4, column 3. |
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in_dA33 |
The value for the element in row 4, column 4. |
Member Function Documentation
| double Get |
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const int |
in_nRow, |
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const int |
in_nCol |
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Returns an element of the marix.
- Parameters:
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in_nRow |
Row index of the element to retrieve (zero indexed). |
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in_nCol |
Column index of the element to retrieve (zero indexed). |
- Returns:
- double The value of the element at the given matrix position.
- See also:
- CSIBCXfoMatd::Set(int, int, const double)
Reimplemented from CSIBCMatrix44d.
| const double* GetArray |
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Returns a pointer to the 4X4 array containing the data for this matrix. Note that the pointer returned from this function should not be freed. Any modification to the array results in modification of this object directly.
- Returns:
- const double* Pointer to the 4X4 array containing the data for this matrix.
- See also:
- CSIBCXfoMatd::Get
| CSIBCXfoMatd& Set |
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int |
in_nRow, |
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int |
in_nCol, |
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const double |
in_dVal |
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Sets an element of the matrix.
- Parameters:
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in_nRow |
Row index of the element to set (zero indexed). |
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in_nCol |
Column index of the element to set (zero indexed). |
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in_dVal |
Value for the element. |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::Set
CSIBCXfoMatd::SetRow
CSIBCXfoMatd::SetCol
CSIBCXfoMatd::Get
Reimplemented from CSIBCMatrix44d.
Sets all elements of the matrix.
- Parameters:
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in_dVal |
4x4 array of double values, containing the new values for all the matrix elements. |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::Set
CSIBCXfoMatd::SetRow
CSIBCXfoMatd::SetCol
CSIBCXfoMatd::Get
Reimplemented from CSIBCMatrix44d.
Sets the top-left submatrix of this matrix.
- Parameters:
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in_dVal |
3x3 array of double values, containing the new values for the elements of the top-left submatrix. |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
Sets all elements of the matrix to those contained in in_mat.
- Parameters:
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in_mat |
Matrix to copy all element values from. |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::Set
CSIBCXfoMatd::SetRow
CSIBCXfoMatd::SetCol
CSIBCXfoMatd::Get
Reimplemented from CSIBCMatrix44d.
Sets all elements of the top-left submatrix of this matrix to those contained in in_mat.
- Parameters:
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in_mat |
Matrix to copy top-left submatrix element value from. |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::Set
CSIBCXfoMatd::SetRow
CSIBCXfoMatd::SetCol
CSIBCXfoMatd::Get
Sets all elements of the matrix to those contained in in_mat.
- Parameters:
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in_mat |
Matrix to copy all element values from. |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::Set
CSIBCXfoMatd::SetRow
CSIBCXfoMatd::SetCol
CSIBCXfoMatd::Get
Sets the transformation matrix to be a pure rotation, defined by in_mat.
- Parameters:
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in_mat |
Rotation to set this transformation matrix to. |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::Set
CSIBCXfoMatd::SetRow
CSIBCXfoMatd::SetCol
CSIBCXfoMatd::Get
Sets the transformation matrix to be a pure rotation, defined by the transpose of in_mat.
- Parameters:
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in_mat |
Rotation transpose to set this transformation matrix to. |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::Set
CSIBCXfoMatd::SetRow
CSIBCXfoMatd::SetCol
CSIBCXfoMatd::Get
Sets all elements in a row of the matrix.
- Parameters:
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in_nRow |
Row index of the row to set (zero indexed). |
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in_vct |
Vector containing the values to replace the specified row elements with. |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::Set
CSIBCXfoMatd::SetRow
CSIBCXfoMatd::SetCol
CSIBCXfoMatd::Get
Reimplemented from CSIBCMatrix44d.
| CSIBCXfoMatd& SetRow |
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const int |
in_nRow, |
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double |
in_dA0, |
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double |
in_dA1, |
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double |
in_dA2, |
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double |
in_dA3 |
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Sets all elements in a row of the matrix.
- Parameters:
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in_nRow |
Row index of the row to set (zero indexed). |
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in_dA0 |
Value for the element in the first column of the row. |
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in_dA1 |
Value for the element in the second column of the row. |
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in_dA2 |
Value for the element in the third column of the row. |
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in_dA3 |
Value for the element in the fourth column of the row. |
- See also:
- CSIBCXfoMatd::Set
CSIBCXfoMatd::SetRow
CSIBCXfoMatd::SetCol
CSIBCXfoMatd::Get
Reimplemented from CSIBCMatrix44d.
Sets all elements in a column of the matrix.
- Parameters:
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in_nCol |
Column index of the column to set (zero indexed). |
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in_vct |
Vector containing the values to replace the specified column elements with. |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::Set
CSIBCXfoMatd::SetRow
CSIBCXfoMatd::SetCol
CSIBCXfoMatd::Get
Reimplemented from CSIBCMatrix44d.
| CSIBCXfoMatd& SetCol |
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const int |
in_nCol, |
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double |
in_dA0, |
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double |
in_dA1, |
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double |
in_dA2, |
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double |
in_dA3 |
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Sets all elements in a column of the matrix.
- Parameters:
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in_nCol |
Column index of the column to set (zero indexed). |
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in_dA0 |
Value for the element in the first row of the column. |
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in_dA1 |
Value for the element in the second row of the column. |
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in_dA2 |
Value for the element in the third row of the column. |
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in_dA3 |
Value for the element in the fourth row of the column. |
- See also:
- CSIBCXfoMatd::Set
CSIBCXfoMatd::SetRow
CSIBCXfoMatd::SetCol
CSIBCXfoMatd::Get
Reimplemented from CSIBCMatrix44d.
Sets this matrix to be the identity matrix.
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::Set
Reimplemented from CSIBCMatrix44d.
Determines whether all corresponding elements of this matrix and in_mat are exactly equal.
- Parameters:
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in_mat |
The matrix to compare equality with. |
- Returns:
- bool true if the matricies are exactly equal, false otherwise.
- See also:
- CSIBCXfoMatd::AreAlmostEqual
CSIBCXfoMatd::operator!=
Reimplemented from CSIBCMatrix44d.
Determines whether any corresponding elements of this matrix and in_mat are different.
- Parameters:
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in_mat |
The matrix to compare inequality with. |
- Returns:
- bool true if the matricies differ in any element, false otherwise.
- See also:
- CSIBCXfoMatd::AreAlmostEqual
CSIBCXfoMatd::operator==
Reimplemented from CSIBCMatrix44d.
Computes the matrix multiplication of two matricies (in_mat1 * in_mat2) and stores the result in this matrix.
- Parameters:
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in_mat1 |
The first matrix in the multiplication (on the left). |
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in_mat2 |
The second matrix in the multiplication (on the right). |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::Mul
CSIBCXfoMatd::MulTransByReg
Computes the matrix multiplication of this matrix and in_mat (this * in_mat) and stores the result in this matrix.
- Parameters:
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in_mat |
The matrix to right-multiply this matrix by. |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::Mul
CSIBCXfoMatd::MulTransByReg
Computes the matrix multiplication of two matricies (in_mat1 * in_mat2) and stores the result in this matrix.
- Parameters:
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in_mat1 |
The tranformation matrix in the multiplication (on the left). |
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in_mat2 |
The pure rotation matrix in the multiplication (on the right). |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::Mul
CSIBCXfoMatd::MulTransByReg
Computes the matrix multiplication of two matricies (in_mat1 * in_mat2) and stores the result in this matrix.
- Parameters:
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in_mat1 |
The pure rotation matrix in the multiplication (on the left). |
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in_mat2 |
The tranformation matrix in the multiplication (on the right). |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::Mul
CSIBCXfoMatd::MulTransByReg
Computes the matrix multiplication of the transpose of in_mat1 and in_mat2 (in_mat1^T * in_mat2) and stores the result in this matrix.
- Parameters:
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in_mat1 |
The first matrix in the multiplication (on the left), to be transposed before multiplication. |
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in_mat2 |
The second matrix in the multiplication (on the right). |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::Mul
CSIBCXfoMatd::MulRegByTrans
CSIBCXfoMatd::Div
| double GetDet |
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void |
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const |
Computes the determinant of this matrix.
- Returns:
- double The determinant of this matrix.
- See also:
- CSIBCXfoMatd::GetDet33
CSIBCXfoMatd::GetTrace
Reimplemented from CSIBCMatrix44d.
| double GetDet33 |
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const |
Computes the determines of the top-left 3x3 submatrix of this matrix.
- Returns:
- double The determinant of the top-left 3x3 submatrix.
- See also:
- CSIBCXfoMatd::GetDet
CSIBCXfoMatd::GetTrace
| double GetTrace |
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const |
Computes the trace of this matrix. A trace is the sum of all the diagonal elements of a matrix.
- Returns:
- double The trace of this matrix.
- See also:
- CSIBCXfoMatd::GetDet
CSIBCXfoMatd::GetDet33
Reimplemented from CSIBCMatrix44d.
Sets this matrix to be the transpose of in_mat.
- Parameters:
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in_mat |
Matrix containing the transpose of the desired matrix. |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::Transpose()
Sets this matrix to its transpose.
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::Transpose( const CSIBCXfoMatd& )
Reimplemented from CSIBCMatrix44d.
Sets this matrix to be the inverse of in_mat.
- Parameters:
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in_mat |
Matrix containing the inverse of the desired matrix. |
- Returns:
- bool true if
in_mat could be inverted and the assignment was successful, false otherwise.
- See also:
- CSIBCXfoMatd::Invert()
Sets this matrix to its inverse.
- Returns:
- bool true if this matrix could be inverted and the assignment was successful, false otherwise.
- See also:
- CSIBCXfoMatd::Invert( const CSIBCXfoMatd& )
Reimplemented from CSIBCMatrix44d.
Gets the translation contained in this matrix.
- Parameters:
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out_vctTrs |
Receives the translation in the X, Y and Z directions. |
- Returns:
- CSIBCVector3Dd& Reference to
out_vctTrs.
- See also:
- CSIBCXfoMatd::SetTranslation
CSIBCXfoMatd::AddTranslation
Sets the translation contained in this matrix.
- Parameters:
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in_vctTrs |
Vector containing the translations in the X, Y and Z directions. |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::GetTranslation
CSIBCXfoMatd::AddTranslation
Adds a translation to the translation in this matrix.
- Parameters:
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in_vctTrs |
Vector containing the translations to add in the X, Y and Z directions. |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::GetTranslation
CSIBCXfoMatd::SetTranslation
Gets the rotation matrix contained in this matrix as a rotation matrix.
- Parameters:
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out_matRot |
Receives the rotation matrix. |
- Returns:
- CSIBCVector3Dd& Reference to
out_matRot.
- See also:
- CSIBCXfoMatd::GetRotation
CSIBCXfoMatd::SetRotation
CSIBCXfoMatd::AddRotation
Gets the rotation matrix contained in this matrix as a rotation object.
- Parameters:
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out_rot |
Receives the rotation object. |
- Returns:
- CSIBCVector3Dd& Reference to
out_rot.
- See also:
- CSIBCXfoMatd::GetRotation
CSIBCXfoMatd::SetRotation
CSIBCXfoMatd::AddRotation
Sets the rotation contained in this matrix.
- Parameters:
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in_matRot |
Rotation matrix containing the rotation to set for this matrix. |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::GetRotation
CSIBCXfoMatd::AddRotation
Adds a rotation to the rotation in this matrix.
- Parameters:
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in_matRot |
Rotation matrix containing the rotation to add. |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::GetRotation
CSIBCXfoMatd::SetRotation
Gets the scaling of this matrix.
- Parameters:
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out_vctScl |
Receives the scaling components in the X, Y and Z directions. |
- Returns:
- CSIBCVector3Dd& Reference to
out_vctScl.
- See also:
- CSIBCXfoMatd::SetScaling
CSIBCXfoMatd::AddScaling
Sets the scaling of this matrix.
- Parameters:
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in_vctScl |
Vector containing the scaling in the X, Y and Z directions. |
- Returns:
- CSIBCXfoMatd& Reference to this matrix.
- See also:
- CSIBCXfoMatd::GetScaling
CSIBCXfoMatd::AddScaling
Adds scaling to this matrix.
- Parameters:
-
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in_vctScl |
Vector containing the scaling to add in the X, Y and Z directions. |
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in_bPreScaling |
Whether the scaling operations should be applied before or after the translation in this matrix. if true scaling operations are applied before, false if scaling operations are to be applied after. |
- Returns:
- CSIBCXfoMatd& Reference to this matirx.
- See also:
- CSIBCXfoMatd::GetScaling
CSIBCXfoMatd::SetScaling
Sets the scaling and rotation for this transformation matrix. Note that it is faster to use this method, than a combination of CSIBCXfoMatd::SetScaling, and CSIBCXfoMatd::SetRotation.
- Parameters:
-
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in_vctScl |
Vector containing the scaling in the X, Y and Z directions. |
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in_rot |
Rotation object containing the rotation for this matrix. |
- See also:
- CSIBCXfoMatd::SetScaling
CSIBCXfoMatd::SetRotation
CSIBCXfoMatd::GetScalingAndRotation
Gets the scaling and rotation for this transformation matrix. Note that it is faster to use this method, than a combination of CSIBCXfoMatd::GetScaling, and CSIBCXfoMatd::GetRotation.
- Parameters:
-
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out_vct |
Receives the scaling components in the X, Y and Z directions. |
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out_rot |
Receives the rotation object for this matrix. |
- See also:
- CSIBCXfoMatd::GetScaling
CSIBCXfoMatd::GetRotation
CSIBCXfoMatd::SetScalingAndRotation
Gets the affine tranformation represented by this transformation matrix.
- Parameters:
-
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out_sclRot |
Receives the affine scaling/rotation matrix associated with this transformation matrix. |
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out_matSRT |
Receives the affine transformation matrix associated with this transformation matrix. |
A smart matrix decomposition method to handle negative scaling
- Parameters:
-
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out_Scale |
Receives the scale components respected. |
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out_Rotate |
Receives the rotation components. respected. |
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out_Trans |
Receives the translation components. |
Friends And Related Function Documentation
Determines whether all corresponding elements of the matricies in_mat1 and in_mat2 are equal. Since this method uses floating-point comparison, a threshhold value of in_dEpsilon is used for equality comparison.
- Parameters:
-
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in_mat1 |
First matrix for equality comparison. |
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in_mat2 |
Second matrix for equality comparison. |
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in_dEpsilon |
Floating-point comparison error range. Defaults to HEXA_EPS. |
- Returns:
- bool true if the matricies are equal, false otherwise.
- See also:
- CSIBCXfoMatd::operator==
CSIBCXfoMatd::operator!=
The documentation for this class was generated from the following file: