Open CASCADE Technology 7.8.2.dev
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Generic matrix of 4 x 4 elements. To be used in conjunction with NCollection_Vec4 entities. Originally introduced for 3D space projection and orientation operations. Warning, empty constructor returns an identity matrix. More...
#include <NCollection_Mat4.hxx>
Public Member Functions | |
NCollection_Mat4 () | |
Empty constructor. Construct the identity matrix. | |
template<typename OtherElement_t > | |
NCollection_Mat4 (const NCollection_Mat4< OtherElement_t > &theOtherMat4) | |
Conversion constructor (explicitly converts some 4 x 4 matrix with other element type to a new 4 x 4 matrix with the element type Element_t, whose elements are static_cast'ed corresponding elements of theOtherMat4 matrix) | |
Element_t | GetValue (const size_t theRow, const size_t theCol) const |
Get element at the specified row and column. | |
Element_t & | ChangeValue (const size_t theRow, const size_t theCol) |
Access element at the specified row and column. | |
void | SetValue (const size_t theRow, const size_t theCol, const Element_t theValue) |
Set value for the element specified by row and columns. | |
Element_t & | operator() (const size_t theRow, const size_t theCol) |
Return value. | |
Element_t | operator() (const size_t theRow, const size_t theCol) const |
Return value. | |
NCollection_Vec4< Element_t > | GetRow (const size_t theRow) const |
Get vector of elements for the specified row. | |
void | SetRow (const size_t theRow, const NCollection_Vec3< Element_t > &theVec) |
Change first 3 row values by the passed vector. | |
void | SetRow (const size_t theRow, const NCollection_Vec4< Element_t > &theVec) |
Set row values by the passed 4 element vector. | |
NCollection_Vec4< Element_t > | GetColumn (const size_t theCol) const |
Get vector of elements for the specified column. | |
void | SetColumn (const size_t theCol, const NCollection_Vec3< Element_t > &theVec) |
Change first 3 column values by the passed vector. | |
void | SetColumn (const size_t theCol, const NCollection_Vec4< Element_t > &theVec) |
Set column values by the passed 4 element vector. | |
NCollection_Vec4< Element_t > | GetDiagonal () const |
Get vector of diagonal elements. | |
void | SetDiagonal (const NCollection_Vec3< Element_t > &theVec) |
Change first 3 elements of the diagonal matrix. | |
void | SetDiagonal (const NCollection_Vec4< Element_t > &theVec) |
Set diagonal elements of the matrix by the passed vector. | |
NCollection_Mat3< Element_t > | GetMat3 () const |
Return 3x3 sub-matrix. | |
void | InitZero () |
Initialize the zero matrix. | |
bool | IsZero () const |
Checks the matrix for zero (without tolerance). | |
void | InitIdentity () |
Initialize the identity matrix. | |
bool | IsIdentity () const |
Checks the matrix for identity (without tolerance). | |
bool | IsEqual (const NCollection_Mat4 &theOther) const |
Check this matrix for equality with another matrix (without tolerance!). | |
bool | operator== (const NCollection_Mat4 &theOther) const |
Check this matrix for equality with another matrix (without tolerance!). | |
bool | operator!= (const NCollection_Mat4 &theOther) const |
Check this matrix for non-equality with another matrix (without tolerance!). | |
const Element_t * | GetData () const |
Raw access to the data (for OpenGL exchange); the data is returned in column-major order. | |
Element_t * | ChangeData () |
NCollection_Vec4< Element_t > | operator* (const NCollection_Vec4< Element_t > &theVec) const |
Multiply by the vector (M * V). | |
void | Multiply (const NCollection_Mat4 &theMat) |
Compute matrix multiplication. | |
NCollection_Mat4 & | operator*= (const NCollection_Mat4 &theMat) |
Multiply by the another matrix. | |
NCollection_Mat4 | operator* (const NCollection_Mat4 &theMat) const |
Compute matrix multiplication product. | |
NCollection_Mat4 | Multiplied (const NCollection_Mat4 &theMat) const |
Compute matrix multiplication product. | |
void | Multiply (const Element_t theFactor) |
Compute per-component multiplication. | |
NCollection_Mat4 & | operator*= (const Element_t theFactor) |
Compute per-element multiplication. | |
NCollection_Mat4 | operator* (const Element_t theFactor) const |
Compute per-element multiplication. | |
NCollection_Mat4 | Multiplied (const Element_t theFactor) const |
Compute per-element multiplication. | |
void | Divide (const Element_t theFactor) |
Compute per-component division. | |
NCollection_Mat4 & | operator/= (const Element_t theScalar) |
Per-component division. | |
NCollection_Mat4 | Divided (const Element_t theScalar) const |
Divides all the coefficients of the matrix by scalar. | |
NCollection_Mat4 | operator/ (const Element_t theScalar) const |
Divides all the coefficients of the matrix by scalar. | |
void | Add (const NCollection_Mat4 &theMat) |
Per-component addition of another matrix. | |
NCollection_Mat4 & | operator+= (const NCollection_Mat4 &theMat) |
Per-component addition of another matrix. | |
void | Subtract (const NCollection_Mat4 &theMat) |
Per-component subtraction of another matrix. | |
NCollection_Mat4 & | operator-= (const NCollection_Mat4 &theMat) |
Per-component subtraction of another matrix. | |
NCollection_Mat4 | Added (const NCollection_Mat4 &theMat) const |
Per-component addition of another matrix. | |
NCollection_Mat4 | operator+ (const NCollection_Mat4 &theMat) const |
Per-component addition of another matrix. | |
NCollection_Mat4 | Subtracted (const NCollection_Mat4 &theMat) const |
Per-component subtraction of another matrix. | |
NCollection_Mat4 | operator- (const NCollection_Mat4 &theMat) const |
Per-component subtraction of another matrix. | |
NCollection_Mat4 | Negated () const |
Returns matrix with all components negated. | |
NCollection_Mat4 | operator- () const |
Returns matrix with all components negated. | |
void | Translate (const NCollection_Vec3< Element_t > &theVec) |
Translate the matrix on the passed vector. | |
NCollection_Mat4 | Transposed () const |
Transpose the matrix. | |
void | Transpose () |
Transpose the matrix. | |
bool | Inverted (NCollection_Mat4< Element_t > &theOutMx, Element_t &theDet) const |
Compute inverted matrix. | |
bool | Inverted (NCollection_Mat4< Element_t > &theOutMx) const |
Compute inverted matrix. | |
NCollection_Mat4 | Inverted () const |
Return inverted matrix. | |
Element_t | DeterminantMat3 () const |
Return determinant of the 3x3 sub-matrix. | |
NCollection_Mat4< Element_t > | Adjoint () const |
Return adjoint (adjugate matrix, e.g. conjugate transpose). | |
template<typename Other_t > | |
void | ConvertFrom (const NCollection_Mat4< Other_t > &theFrom) |
Take values from NCollection_Mat4 with a different element type with type conversion. | |
template<typename Other_t > | |
void | Convert (const NCollection_Mat4< Other_t > &theFrom) |
Take values from NCollection_Mat4 with a different element type with type conversion. | |
void | DumpJson (Standard_OStream &theOStream, Standard_Integer) const |
Dumps the content of me into the stream. | |
Static Public Member Functions | |
static size_t | Rows () |
Get number of rows. | |
static size_t | Cols () |
Get number of columns. | |
static NCollection_Mat4 | Identity () |
Return identity matrix. | |
static NCollection_Mat4 | Zero () |
Return zero matrix. | |
static NCollection_Mat4 | Multiply (const NCollection_Mat4 &theMatA, const NCollection_Mat4 &theMatB) |
Compute matrix multiplication product: A * B. | |
static NCollection_Mat4< Element_t > & | Map (Element_t *theData) |
Maps plain C array to matrix type. | |
static const NCollection_Mat4< Element_t > & | Map (const Element_t *theData) |
Maps plain C array to matrix type. | |
Generic matrix of 4 x 4 elements. To be used in conjunction with NCollection_Vec4 entities. Originally introduced for 3D space projection and orientation operations. Warning, empty constructor returns an identity matrix.
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Empty constructor. Construct the identity matrix.
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Conversion constructor (explicitly converts some 4 x 4 matrix with other element type to a new 4 x 4 matrix with the element type Element_t, whose elements are static_cast'ed corresponding elements of theOtherMat4 matrix)
OtherElement_t | the element type of the other 4 x 4 matrix theOtherVec4 |
theOtherMat4 | the 4 x 4 matrix that needs to be converted |
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Per-component addition of another matrix.
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Per-component addition of another matrix.
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Return adjoint (adjugate matrix, e.g. conjugate transpose).
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Access element at the specified row and column.
theRow | [in] the row to access. |
theCol | [in] the column to access. |
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Get number of columns.
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Take values from NCollection_Mat4 with a different element type with type conversion.
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Take values from NCollection_Mat4 with a different element type with type conversion.
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Return determinant of the 3x3 sub-matrix.
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Compute per-component division.
theFactor | [in] the scale factor. |
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Divides all the coefficients of the matrix by scalar.
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Dumps the content of me into the stream.
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Get vector of elements for the specified column.
theCol | [in] the column to access. |
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Raw access to the data (for OpenGL exchange); the data is returned in column-major order.
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Get vector of diagonal elements.
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Return 3x3 sub-matrix.
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Get vector of elements for the specified row.
theRow | [in] the row to access. |
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Get element at the specified row and column.
theRow | [in] the row to address. |
theCol | [in] the column to address. |
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Return identity matrix.
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Initialize the identity matrix.
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Initialize the zero matrix.
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Return inverted matrix.
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Compute inverted matrix.
theOutMx | [out] the inverted matrix |
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Compute inverted matrix.
theOutMx | [out] the inverted matrix |
theDet | [out] determinant of matrix |
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Check this matrix for equality with another matrix (without tolerance!).
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Checks the matrix for identity (without tolerance).
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Checks the matrix for zero (without tolerance).
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Maps plain C array to matrix type.
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Maps plain C array to matrix type.
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Compute per-element multiplication.
theFactor | [in] the scale factor. |
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Compute matrix multiplication product.
theMat | [in] the other matrix. |
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Compute per-component multiplication.
theFactor | [in] the scale factor. |
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Compute matrix multiplication.
theMat | [in] the matrix to multiply. |
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Compute matrix multiplication product: A * B.
theMatA | [in] the matrix "A". |
theMatB | [in] the matrix "B". |
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Returns matrix with all components negated.
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Check this matrix for non-equality with another matrix (without tolerance!).
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Return value.
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Return value.
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Compute per-element multiplication.
theFactor | [in] the scale factor. |
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Compute matrix multiplication product.
theMat | [in] the other matrix. |
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Multiply by the vector (M * V).
theVec | [in] the vector to multiply. |
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Compute per-element multiplication.
theFactor | [in] the scale factor. |
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Multiply by the another matrix.
theMat | [in] the other matrix. |
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Per-component addition of another matrix.
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Per-component addition of another matrix.
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Returns matrix with all components negated.
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Per-component subtraction of another matrix.
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Per-component subtraction of another matrix.
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Divides all the coefficients of the matrix by scalar.
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Per-component division.
theScalar | [in] the scale factor. |
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Check this matrix for equality with another matrix (without tolerance!).
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Get number of rows.
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Change first 3 column values by the passed vector.
theCol | [in] the column to change. |
theVec | [in] the vector of values. |
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Set column values by the passed 4 element vector.
theCol | [in] the column to change. |
theVec | [in] the vector of values. |
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Change first 3 elements of the diagonal matrix.
theVec | the vector of values. |
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Set diagonal elements of the matrix by the passed vector.
theVec | [in] the vector of values. |
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Change first 3 row values by the passed vector.
theRow | [in] the row to change. |
theVec | [in] the vector of values. |
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Set row values by the passed 4 element vector.
theRow | [in] the row to change. |
theVec | [in] the vector of values. |
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Set value for the element specified by row and columns.
theRow | [in] the row to change. |
theCol | [in] the column to change. |
theValue | [in] the value to set. |
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Per-component subtraction of another matrix.
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Per-component subtraction of another matrix.
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Translate the matrix on the passed vector.
theVec | [in] the translation vector. |
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Transpose the matrix.
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Transpose the matrix.
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Return zero matrix.