# CSIBCMatrix33d Class Reference

Class representing matricies with 3 rows, and 3 columns. More...

`#include <SIBCMatrix33d.h>`

Inheritance diagram for CSIBCMatrix33d:

List of all members.

## Public Member Functions
| CSIBCMatrix33d (void)
| CSIBCMatrix33d (const CSIBCVector3Dd &in_vct0, const CSIBCVector3Dd &in_vct1, const CSIBCVector3Dd &in_vct2, const bool in_bAreRows=true)
| CSIBCMatrix33d (const double in_dA00, const double in_dA01, const double in_dA02, const double in_dA10, const double in_dA11, const double in_dA12, const double in_dA20, const double in_dA21, const double in_dA22)
| CSIBCMatrix33d (int in_nRow, int in_nCol, const CSIBCMatrix44d &in_mat)
double | Get (const int in_nRow, const int in_nCol) const
CSIBCMatrix33d & | Set (int in_nRow, int in_nCol, const double in_dVal)
CSIBCMatrix33d & | Set (const double in_dA00, const double in_dA01, const double in_dA02, const double in_dA10, const double in_dA11, const double in_dA12, const double in_dA20, const double in_dA21, const double in_dA22)
CSIBCMatrix33d & | Set (double in_dVal[3][3])
CSIBCMatrix33d & | Set (const CSIBCMatrix33d &in_mat)
CSIBCMatrix33d & | Set (int in_nRow, int in_nCol, const CSIBCMatrix44d &in_mat)
CSIBCMatrix33d & | SetRow (const int in_nRow, const CSIBCVector3Dd &in_vct)
CSIBCMatrix33d & | SetRow (const int in_nRow, double in_dA0, double in_dA1, double in_dA2)
CSIBCMatrix33d & | SetCol (const int in_nCol, const CSIBCVector3Dd &in_vct)
CSIBCMatrix33d & | SetCol (const int in_nCol, double in_dA0, double in_dA1, double in_dA2)
CSIBCMatrix33d & | SetNull ()
CSIBCMatrix33d & | SetIdentity ()
bool | operator== (const CSIBCMatrix33d &in_mat) const
bool | operator!= (const CSIBCMatrix33d &in_mat) const
bool | IsNull (const double in_dEpsilon=PICO_EPS) const
bool | IsSingular (const double in_dEpsilon=PICO_EPS) const
bool | IsSymmetric (const double in_dEpsilon=PICO_EPS) const
CSIBCMatrix33d & | Add (const CSIBCMatrix33d &in_mat1, const CSIBCMatrix33d &in_mat2)
CSIBCMatrix33d & | Add (const CSIBCMatrix33d &in_mat)
CSIBCMatrix33d & | Sub (const CSIBCMatrix33d &in_mat1, const CSIBCMatrix33d &in_mat2)
CSIBCMatrix33d & | Sub (const CSIBCMatrix33d &in_mat)
CSIBCMatrix33d & | Mul (const CSIBCMatrix33d &in_mat1, const CSIBCMatrix33d &in_mat2)
CSIBCMatrix33d & | Mul (const CSIBCMatrix33d &in_mat)
CSIBCMatrix33d & | MulTransByReg (const CSIBCMatrix33d &in_mat1, const CSIBCMatrix33d &in_mat2)
CSIBCMatrix33d & | MulRegByTrans (const CSIBCMatrix33d &in_mat1, const CSIBCMatrix33d &in_mat2)
CSIBCMatrix33d & | Negate (const CSIBCMatrix33d &in_mat)
CSIBCMatrix33d & | Negate ()
CSIBCMatrix33d & | Mul (const double in_dFactor, const CSIBCMatrix33d &in_mat)
CSIBCMatrix33d & | Mul (const CSIBCMatrix33d &in_mat, const double in_dFactor)
CSIBCMatrix33d & | Mul (const double in_dFactor)
CSIBCMatrix33d & | Div (const CSIBCMatrix33d &in_mat, const double in_dFactor)
CSIBCMatrix33d & | Div (const double in_dFactor)
double | GetDet (void) const
double | GetTrace (void) const
CSIBCMatrix33d & | Transpose (const CSIBCMatrix33d &in_mat)
CSIBCMatrix33d & | Transpose (void)
bool | Invert (const CSIBCMatrix33d &in_mat)
bool | Invert (void)
bool | TransposeInverse (const CSIBCMatrix33d &in_mat)
bool | TransposeInverse (void)
CSIBCMatrix33d & | Adjoint (const CSIBCMatrix33d &in_mat)
CSIBCMatrix33d & | Adjoint (void)
bool | GetEigenVectors (CSIBCMatrix33d &out_matEigenVectors, CSIBCVector3Dd &out_vctEigenValues, const double in_dEps=PICO_EPS) const
CSIBCMatrix33d & | Symmetry (CSIBCMatrix33d &in_mat) const
CSIBCMatrix33d & | Symmetry (void) const
void | SetOuterProduct (const CSIBCVector3Dd &in_vct1, const CSIBCVector3Dd &in_vct2)
## Friends
bool | AreAlmostEqual (const CSIBCMatrix33d &in_mat1, const CSIBCMatrix33d &in_mat2, const double in_dEpsilon=PICO_EPS)

## Detailed Description

Class representing matricies with 3 rows, and 3 columns.

CSIBCMatrix33d objects represent matricies, and define a set of operations which are useful in the context of a matrix. Unlike CSIBCMatrix4x4, there is no method of accessing the matrix data directly, thus it does not matter whether the values are stored in column major, or row major order.

This class uses double precision floating point numbers to store element values. There exists three other matrix classes, CSIBCMatrix44d, CSIBCMatrix4x4 and CSIBCMatrixMNd. They are used to represent 4x4 matricies with double precision floating-point numbers, 4x4 matricies with single precision floating-point numbers, and MxN matricies with double precision floating-point numbers, respectively.

## Constructor & Destructor Documentation

CSIBCMatrix33d | ( | void |  | ) |

Default Constructor. Sets all elements in the matrix to zero.

See also:
  CSIBCMatrix33d::SetNull

CSIBCMatrix33d | ( | const CSIBCVector3Dd & | in_vct0,
|  | const CSIBCVector3Dd & | in_vct1,
|  | const CSIBCVector3Dd & | in_vct2,
|  | const bool | in_bAreRows = `true` |
| ) |  |  |

Constructor. Sets the rows of the new matrix to be `in_vct0`, `in_vct1`, and `in_vct2`. If `in_bAreRows` is false, then the input vectors are used as the columns of the new matrix.

Parameters:

  | in_vct0 | The vector to use for the first row (or column) of the matrix.
  | in_vct1 | The vector to use for the second row (or column) of the matrix.
  | in_vct2 | The vector to use for the third row (or column) of the matrix.
  | in_bAreRows | Whether the vectors given represent rows or columns of the matrix (true == Rows, false == Columns). Defaults to true (rows).

CSIBCMatrix33d | ( | const double | in_dA00,
|  | const double | in_dA01,
|  | const double | in_dA02,
|  | const double | in_dA10,
|  | const double | in_dA11,
|  | const double | in_dA12,
|  | const double | in_dA20,
|  | const double | in_dA21,
|  | const double | in_dA22 |
| ) |  |  |

Constructor. Specifies the value of each element in the new matrix.

Parameters:

  | in_dA00 | The value for the element in row 1, column 1.
  | in_dA01 | The value for the element in row 1, column 2
  | in_dA02 | The value for the element in row 1, column 3
  | in_dA10 | The value for the element in row 2, column 1.
  | in_dA11 | The value for the element in row 2, column 2
  | in_dA12 | The value for the element in row 2, column 3
  | in_dA20 | The value for the element in row 3, column 1.
  | in_dA21 | The value for the element in row 3, column 2
  | in_dA22 | The value for the element in row 3, column 3

CSIBCMatrix33d | ( | int | in_nRow,
|  | int | in_nCol,
|  | const CSIBCMatrix44d & | in_mat |
| ) |  |  |

Constructor. Creates a 3x3 matrix from a 4x4 matrix, `in_mat`, by removing the column and row from `in_mat` specified by `in_nRow`, and `in_nCol`.

Parameters:

  | in_nRow | The row to remove from `in_mat` (zero indexed).
  | in_nCol | The column to remove from `in_mat` (zero indexed).
  | in_mat | The 4x4 matrix to remove a row and a column from to produce the new matrix.

See also:
  CSIBCMatrix33d::Set(int, int, const CSIBCMatrix44d&)

## Member Function Documentation

double Get | ( | const int | in_nRow,
|  | const int | in_nCol |
| ) |  |  | const

Returns an element of the marix.

Parameters:

  | in_nRow | Row index of the element to retrieve (zero indexed).
  | 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:
  CSIBCMatrix33d::Set(int, int, const double)

Reimplemented in CSIBCRotMatd.

CSIBCMatrix33d& Set | ( | int | in_nRow,
|  | int | in_nCol,
|  | const double | in_dVal |
| ) |  |  |

Sets an element of the matrix.

Parameters:

  | in_nRow | Row index of the element to set (zero indexed).
  | in_nCol | Column index of the element to set (zero indexed).
  | in_dVal | Value for the element.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Set

  CSIBCMatrix33d::SetRow

  CSIBCMatrix33d::SetCol

  CSIBCMatrix33d::Get

Reimplemented in CSIBCRotMatd.

CSIBCMatrix33d& Set | ( | const double | in_dA00,
|  | const double | in_dA01,
|  | const double | in_dA02,
|  | const double | in_dA10,
|  | const double | in_dA11,
|  | const double | in_dA12,
|  | const double | in_dA20,
|  | const double | in_dA21,
|  | const double | in_dA22 |
| ) |  |  |

Sets all elements of the matrix.

Parameters:

  | in_dA00 | The value for the element in row 1, column 1.
  | in_dA01 | The value for the element in row 1, column 2.
  | in_dA02 | The value for the element in row 1, column 3.
  | in_dA10 | The value for the element in row 2, column 1.
  | in_dA11 | The value for the element in row 2, column 2.
  | in_dA12 | The value for the element in row 2, column 3.
  | in_dA20 | The value for the element in row 3, column 1.
  | in_dA21 | The value for the element in row 3, column 2.
  | in_dA22 | The value for the element in row 3, column 3.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Set

  CSIBCMatrix33d::SetRow

  CSIBCMatrix33d::SetCol

  CSIBCMatrix33d::Get

CSIBCMatrix33d& Set | ( | double | in_dVal[3][3] | ) |

Sets all elements of the matrix.

Parameters:

  | in_dVal | 3x3 array of double values, containing the new values for all the matrix elements.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Set

  CSIBCMatrix33d::SetRow

  CSIBCMatrix33d::SetCol

  CSIBCMatrix33d::Get

Reimplemented in CSIBCRotMatd.

CSIBCMatrix33d& Set | ( | const CSIBCMatrix33d & | in_mat | ) |

Sets all elements of the matrix to those contained in `in_mat`.

Parameters:

  | in_mat | Matrix to copy all element values from.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Set

  CSIBCMatrix33d::SetRow

  CSIBCMatrix33d::SetCol

  CSIBCMatrix33d::Get

Reimplemented in CSIBCRotMatd.

CSIBCMatrix33d& Set | ( | int | in_nRow,
|  | int | in_nCol,
|  | const CSIBCMatrix44d & | in_mat |
| ) |  |  |

Sets all elements of this matrix to be a submatrix of `in_mat`.

Parameters:

  | in_nRow | Row index of the row to remove from `in_mat` (zero indexed).
  | in_nCol | Column index of the column to remove from `in_mat` (zero indexed).
  | in_mat | The matrix to use element values from (with column `in_nCol` and row `in_nRow` removed).

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Set

  CSIBCMatrix33d::SetRow

  CSIBCMatrix33d::SetCol

  CSIBCMatrix33d::Get

CSIBCMatrix33d& SetRow | ( | const int | in_nRow,
|  | const CSIBCVector3Dd & | in_vct |
| ) |  |  |

Sets all elements in a row of the matrix.

Parameters:

  | in_nRow | Row index of the row to set (zero indexed).
  | in_vct | Vector containing the values to replace the specified row elements with.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Set

  CSIBCMatrix33d::SetRow

  CSIBCMatrix33d::SetCol

  CSIBCMatrix33d::Get

Reimplemented in CSIBCRotMatd.

CSIBCMatrix33d& SetRow | ( | const int | in_nRow,
|  | double | in_dA0,
|  | double | in_dA1,
|  | double | in_dA2 |
| ) |  |  |

Sets all elements in a row of the matrix.

Parameters:

  | in_nRow | Row index of the row to set (zero indexed).
  | in_dA0 | Value for the element in the first column of the row.
  | in_dA1 | Value for the element in the second column of the row.
  | in_dA2 | Value for the element in the third column of the row.

See also:
  CSIBCMatrix33d::Set

  CSIBCMatrix33d::SetRow

  CSIBCMatrix33d::SetCol

  CSIBCMatrix33d::Get

Reimplemented in CSIBCRotMatd.

CSIBCMatrix33d& SetCol | ( | const int | in_nCol,
|  | const CSIBCVector3Dd & | in_vct |
| ) |  |  |

Sets all elements in a column of the matrix.

Parameters:

  | in_nCol | Column index of the column to set (zero indexed).
  | in_vct | Vector containing the values to replace the specified column elements with.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Set

  CSIBCMatrix33d::SetRow

  CSIBCMatrix33d::SetCol

  CSIBCMatrix33d::Get

Reimplemented in CSIBCRotMatd.

CSIBCMatrix33d& SetCol | ( | const int | in_nCol,
|  | double | in_dA0,
|  | double | in_dA1,
|  | double | in_dA2 |
| ) |  |  |

Sets all elements in a column of the matrix.

Parameters:

  | in_nCol | Column index of the column to set (zero indexed).
  | in_dA0 | Value for the element in the first row of the column.
  | in_dA1 | Value for the element in the second row of the column.
  | in_dA2 | Value for the element in the third row of the column.

See also:
  CSIBCMatrix33d::Set

  CSIBCMatrix33d::SetRow

  CSIBCMatrix33d::SetCol

  CSIBCMatrix33d::Get

Reimplemented in CSIBCRotMatd.

CSIBCMatrix33d& SetNull | ( |  | ) |

Sets all elements in the matrix to zero.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::SetIdentity

  CSIBCMatrix33d::Set

Reimplemented in CSIBCRotMatd.

CSIBCMatrix33d& SetIdentity | ( |  | ) |

Sets this matrix to be the identity matrix.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::SetNull

  CSIBCMatrix33d::Set

Reimplemented in CSIBCRotMatd.

bool operator== | ( | const CSIBCMatrix33d & | in_mat | ) | const

Determines whether all corresponding elements of this matrix and `in_mat` are exactly equal.

Parameters:

  | in_mat | The matrix to compare equality with.

Returns:
  bool true if the matricies are exactly equal, false otherwise.

See also:
  CSIBCMatrix33d::AreAlmostEqual

  CSIBCMatrix33d::operator!=

Reimplemented in CSIBCRotMatd.

bool operator!= | ( | const CSIBCMatrix33d & | in_mat | ) | const

Determines whether any corresponding elements of this matrix and `in_mat` are different.

Parameters:

  | in_mat | The matrix to compare inequality with.

Returns:
  bool true if the matricies differ in any element, false otherwise.

See also:
  CSIBCMatrix33d::AreAlmostEqual

  CSIBCMatrix33d::operator==

Reimplemented in CSIBCRotMatd.

bool IsNull | ( | const double | in_dEpsilon = `PICO_EPS` | ) | const

Determines whether all elements of this matrix are zero. Since this function uses floating-point comparison, a threshhold value of `in_dEpsilon` is used for equality comparison.

Parameters:

  | in_dEpsilon | Floating-point comparison error range. Defaults to PICO_EPS

Returns:
  bool true if the matrix elements are all zero, false otherwise.

See also:
  CSIBCMatrix33d::SetNull

  CSIBCMatrix33d::AreAlmostEqual

  CSIBCMatrix33d::operator==

bool IsSingular | ( | const double | in_dEpsilon = `PICO_EPS` | ) | const

Determines whether the matrix is singular. A singular matrix is a square matrix that has no inverse. A matrix is singular iff it has a determinant of zero. Since this function uses floating-point comparison (for the determinant value), a threshhold value of `in_dEpsilon` is used for equality comparison.

Parameters:

  | in_dEpsilon | Floating-point comparison error range. Defaults to PICO_EPS

Returns:
  bool true if the matrix is singular, false otherwise.

See also:
  CSIBCMatrix33d::IsSymmetric

  CSIBCMatrix33d::GetDet

bool IsSymmetric | ( | const double | in_dEpsilon = `PICO_EPS` | ) | const

Determines whether the matrix is symmetric. A symmetric matrix is one that is equal to its transpose. Since this function uses floating-point comparison, a threshhold value of `in_dEpsilon` is used for equality comparison.

Parameters:

  | in_dEpsilon | Floating-point comparison error range. Defaults to PICO_EPS

Returns:
  bool true if the matrix is symmetric, false otherwise.

See also:
  CSIBCMatrix33d::Symmetry

  CSIBCMatrix33d::Transpose

CSIBCMatrix33d& Add | ( | const CSIBCMatrix33d & | in_mat1,
|  | const CSIBCMatrix33d & | in_mat2 |
| ) |  |  |

Computes the matrix addition of two matricies, and stores the result in this matrix.

Parameters:

  | in_mat1 | The first matrix to add.
  | in_mat2 | The second matrix to add.

Returns:
  CSIBCMatrix33& Reference to this matrix.

See also:
  CSIBCMatrix33d::Add

  CSIBCMatrix33d::Sub

CSIBCMatrix33d& Add | ( | const CSIBCMatrix33d & | in_mat | ) |

Computes the matrix addition of this matrix and `in_mat`, and stores the result in this matrix.

Parameters:

  | in_mat | The matrix to add to this matrix.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Add

  CSIBCMatrix33d::Sub

CSIBCMatrix33d& Sub | ( | const CSIBCMatrix33d & | in_mat1,
|  | const CSIBCMatrix33d & | in_mat2 |
| ) |  |  |

Computes the difference of two matricies (`in_mat1` - `in_mat2`) and stores the result in this matrix.

Parameters:

  | in_mat1 | The matrix to subtract from.
  | in_mat2 | The matrix to subtract.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Sub

  CSIBCMatrix33d::Add

CSIBCMatrix33d& Sub | ( | const CSIBCMatrix33d & | in_mat | ) |

Computes the difference of this matrix and `in_mat2` (`this` - `in_mat`) and stores the result in this matrix.

Parameters:

  | in_mat | The matrix to subtract.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Sub

  CSIBCMatrix33d::Add

CSIBCMatrix33d& Mul | ( | const CSIBCMatrix33d & | in_mat1,
|  | const CSIBCMatrix33d & | in_mat2 |
| ) |  |  |

Computes the matrix multiplication of two matricies (`in_mat1` * `in_mat2`) and stores the result in this matrix.

Parameters:

  | in_mat1 | The first matrix in the multiplication (on the left).
  | in_mat2 | The second matrix in the multiplication (on the right).

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Mul

  CSIBCMatrix33d::MulTransByReg

  CSIBCMatrix33d::MulRegByTrans

  CSIBCMatrix33d::Div

CSIBCMatrix33d& Mul | ( | const CSIBCMatrix33d & | in_mat | ) |

Computes the matrix multiplication of this matrix and `in_mat` (`this` * `in_mat`) and stores the result in this matrix.

Parameters:

  | in_mat | The matrix to right-multiply this matrix by.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Mul

  CSIBCMatrix33d::MulTransByReg

  CSIBCMatrix33d::MulRegByTrans

  CSIBCMatrix33d::Div

CSIBCMatrix33d& MulTransByReg | ( | const CSIBCMatrix33d & | in_mat1,
|  | const CSIBCMatrix33d & | in_mat2 |
| ) |  |  |

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:

  | in_mat1 | The first matrix in the multiplication (on the left), to be transposed before multiplication.
  | in_mat2 | The second matrix in the multiplication (on the right).

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Mul

  CSIBCMatrix33d::MulRegByTrans

  CSIBCMatrix33d::Div

CSIBCMatrix33d& MulRegByTrans | ( | const CSIBCMatrix33d & | in_mat1,
|  | const CSIBCMatrix33d & | in_mat2 |
| ) |  |  |

Computes the matrix multiplication of `in_mat1` and the transpose of `in_mat2` (`in_mat1` * `in_mat2^T`) and stores the result in this matrix.

Parameters:

  | in_mat1 | The first matrix in the multiplication (on the left).
  | in_mat2 | The second matrix in the multiplication (on the right), to be transposed before multiplication.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Mul

  CSIBCMatrix33d::MulTransByReg

  CSIBCMatrix33d::Div

CSIBCMatrix33d& Negate | ( | const CSIBCMatrix33d & | in_mat | ) |

Sets this matrix to the negative of `in_mat`. The 'negative' of a matrix is produced by multiplying each element of the matrix by -1.

Parameters:

  | in_mat | Matrix containing the data to set this matrix to the negative of.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Negate()

CSIBCMatrix33d& Negate | ( |  | ) |

Sets this matrix to its negative. The 'negative' of a matrix is produced by multiplying each element of the matrix by -1.

Returns:
  CSIBCMatrix33d& Reference to this matrix

See also:
  CSIBCMatrix33d::Negate( const CSIBCMatrix33d& )

Reimplemented in CSIBCRotMatd.

CSIBCMatrix33d& Mul | ( | const double | in_dFactor,
|  | const CSIBCMatrix33d & | in_mat |
| ) |  |  |

Scales each element of `in_mat` by `in_dFactor`, and assigns the result to the corresponding element in this matrix.

Parameters:

  | in_dFactor | Scaling factor for elements of `in_mat`
  | in_mat | The input matrix, to scale and assign to this matrix.

Returns:
  CSIBCMatrix33d& Reference to this matrix

See also:
  CSIBCMatrix33d::Mul

  CSIBCMatrix33d::Div

CSIBCMatrix33d& Mul | ( | const CSIBCMatrix33d & | in_mat,
|  | const double | in_dFactor |
| ) |  |  |

Scales each element of `in_mat` by `in_dFactor`, and assigns the result to the corresponding element in this matrix.

Parameters:

  | in_mat | The input matrix, to scale and assign to this matrix.
  | in_dFactor | Scaling factor for elements of `in_mat`

Returns:
  CSIBCMatrix33d& Reference to this matrix

See also:
  CSIBCMatrix33d::Mul

  CSIBCMatrix33d::Div

CSIBCMatrix33d& Mul | ( | const double | in_dFactor | ) |

Scales each component of this matrix by `in_dFactor`

Parameters:

  | in_dFactor | Scaling factor for elements in this matrix

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Mul

  CSIBCMatrix33d::Div

CSIBCMatrix33d& Div | ( | const CSIBCMatrix33d & | in_mat,
|  | const double | in_dFactor |
| ) |  |  |

Divides each component of `in_mat` by `in_dFactor` and assigns the result to the corresponding element in this matrix.

Parameters:

  | in_mat | The input matrix, to divide and assign to this matrix.
  | in_dFactor | Dividing factor for elements of `in_mat`

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Div

  CSIBCMatrix33d::Mul

CSIBCMatrix33d& Div | ( | const double | in_dFactor | ) |

Divides each component of this matrix by `in_dFactor`.

Parameters:

  | in_dFactor | Dividing factor for elements of this matrix.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Div

  CSIBCMatrix33d::Mul

double GetDet | ( | void |  | ) | const

Computes the determinant of this matrix.

Returns:
  double The determinant of this matrix.

See also:
  CSIBCMatrix33d::GetTrace

  CSIBCMatrix33d::IsSingular

Reimplemented in CSIBCRotMatd.

double GetTrace | ( | void |  | ) | 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:
  CSIBCMatrix33d::GetDet

Reimplemented in CSIBCRotMatd.

CSIBCMatrix33d& Transpose | ( | const CSIBCMatrix33d & | in_mat | ) |

Sets this matrix to be the transpose of `in_mat`.

Parameters:

  | in_mat | Matrix containing the transpose of the desired matrix.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Transpose()

  CSIBCMatrix33d::TransposeInverse

  CSIBCMatrix33d::IsSymmetric

CSIBCMatrix33d& Transpose | ( | void |  | ) |

Sets this matrix to its transpose.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Transpose( const CSIBCMatrix33d& )

  CSIBCMatrix33d::TransposeInverse

Reimplemented in CSIBCRotMatd.

bool Invert | ( | const CSIBCMatrix33d & | in_mat | ) |

Sets this matrix to be the inverse of `in_mat`.

Parameters:

  | 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:
  CSIBCMatrix33d::Invert()

  CSIBCMatrix33d::TransposeInverse

bool Invert | ( | void |  | ) |

Sets this matrix to its inverse.

Returns:
  bool true if this matrix could be inverted and the assignment was successful, false otherwise.

See also:
  CSIBCMatrix33d::Invert( const CSIBCMatrix33d& )

  CSIBCMatrix33d::TransposeInverse

Reimplemented in CSIBCRotMatd.

bool TransposeInverse | ( | const CSIBCMatrix33d & | in_mat | ) |

Sets this matrix to the transpose of the inverse of `in_mat`.

Parameters:

  | in_mat | Matrix containing the transpose of the inverse of the desired matrix.

Returns:
  bool true if the matrix could be inverted (and transposed) and assignment was successful, false otherwise.

See also:
  CSIBCMatrix33d::TransposeInverse()

  CSIBCMatrix33d::Transpose

  CSIBCMatrix33d::Invert

bool TransposeInverse | ( | void |  | ) |

Sets this matrix to the transpose of the inverse of itself.

Returns:
  bool true if the matrix could be inverted (and transposed) and assignment was successful, false otherwise.

See also:
  CSIBCMatrix33d::TransposeInverse( const CSIBCMatrix33d& )

  CSIBCMatrix33d::Transpose

  CSIBCMatrix33d::Inverse

CSIBCMatrix33d& Adjoint | ( | const CSIBCMatrix33d & | in_mat | ) |

Sets this matrix to the adjoint of `in_mat`.

Parameters:

  | in_mat | Matrix containing the adjoint of the desired matrix.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Adjoint()

CSIBCMatrix33d& Adjoint | ( | void |  | ) |

Sets this matrix to its adjoint.

Returns:
  CSIBCMatrix33d& Reference to this matrix.

See also:
  CSIBCMatrix33d::Adjoint( const CSIBCMatrix33d& )

bool GetEigenVectors | ( | CSIBCMatrix33d & | out_matEigenVectors,
|  | CSIBCVector3Dd & | out_vctEigenValues,
|  | const double | in_dEps = `PICO_EPS` |
| ) |  |  | const

Computes the eigenvectors and eigenvalues of this matrix. Since this method uses floating-point comparison, a threshhold value of `in_dEps` is used for equality comparison.

Parameters:

  | out_matEigenVector | Matrix whose rows represent the eigenvectors of this matrix.
  | out_vctEigenValues | Vector whose components represent the eigenvalues of the corresponding eigenvectors in `out_matEigenVector`.
  | in_dEps | Floating-point comparison error range. Defaults to PICO_EPS

CSIBCMatrix33d& Symmetry | ( | CSIBCMatrix33d & | in_mat | ) | const

Not implemented yet

CSIBCMatrix33d& Symmetry | ( | void |  | ) | const

Not implemented yet

void SetOuterProduct | ( | const CSIBCVector3Dd & | in_vct1,
|  | const CSIBCVector3Dd & | in_vct2 |
| ) |  |  |

Not implemented yet

## Friends And Related Function Documentation

bool AreAlmostEqual | ( | const CSIBCMatrix33d & | in_mat1,
|  | const CSIBCMatrix33d & | in_mat2,
|  | const double | in_dEpsilon = `PICO_EPS` |
| ) |  |  | `[friend]`

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:

  | in_mat1 | First matrix for equality comparison.
  | in_mat2 | Second matrix for equality comparison.
  | in_dEpsilon | Floating-point comparison error range. Defaults to PICO_EPS.

Returns:
  bool true if the matricies are equal, false otherwise.

See also:
  CSIBCMatrix33d::operator==

  CSIBCMatrix33d::operator!=

The documentation for this class was generated from the following file:

- SIBCMatrix33d.h