Double precision 2x2 matrix class. More...
#include <cvb/matrix_2d.hpp>
Public Member Functions | |
Matrix2D () noexcept=default | |
Default constructor for empty matrix. More... | |
template<std::size_t N> | |
Matrix2D (const double(&list)[N]) noexcept | |
Construct a 2x2 matrix with an initializer list. More... | |
Matrix2D (double a11, double a12, double a21, double a22) noexcept | |
Construct a 2x2 matrix. More... | |
Matrix2D (Angle rotation, double scale=1.0) noexcept | |
Construct a 2x2 matrix that is a combination of a rotation and scale operation. More... | |
Matrix2D (double scale) noexcept | |
Construct a 2x2 matrix that represents a scaling. More... | |
Matrix2D (double scaleX, double scaleY) noexcept | |
Constructs a 2x2 matrix that represent a scaling with different scaling in x and y directions. More... | |
Matrix2D (Cvb::Point2D< double > column1, Cvb::Point2D< double > column2) noexcept | |
Construct a 2x2 matrix from two column vectors. More... | |
const double * | operator[] (int row) const noexcept |
Index based element access. More... | |
double * | operator[] (int row) noexcept |
Index based element access. More... | |
const double & | At (int row, int column) const noexcept |
Index based element access. More... | |
double & | At (int row, int column) noexcept |
Index based element access. More... | |
double | A11 () const noexcept |
Gets top left matrix element. More... | |
void | SetA11 (double a11) noexcept |
Sets top left matrix element. More... | |
double | A12 () const noexcept |
Gets top right matrix element. More... | |
void | SetA12 (double a12) noexcept |
Sets top right matrix element. More... | |
double | A21 () const noexcept |
Gets bottom left matrix element. More... | |
void | SetA21 (double a21) noexcept |
Sets bottom left matrix element. More... | |
double | A22 () const noexcept |
Gets bottom right matrix element. More... | |
void | SetA22 (double a22) noexcept |
Sets bottom right matrix element. More... | |
double | Det () const noexcept |
Matrix determinant. More... | |
void | Invert () |
Inverts this matrix in-place if possible. More... | |
Matrix2D | Inverse () |
Gets the inverse of this matrix if possible. More... | |
bool | operator== (const Matrix2D &matrix) const noexcept |
Compares to an other matrix. More... | |
bool | operator!= (const Matrix2D &matrix) const noexcept |
Compares to an other matrix. More... | |
Matrix2D & | operator+= (const Matrix2D &matrix) noexcept |
Adds and assigns to this matrix. More... | |
Matrix2D & | operator-= (const Matrix2D &matrix) noexcept |
Subtracts and assigns to this matrix. More... | |
Matrix2D & | operator*= (const Matrix2D &matrix) noexcept |
Multiplies and assigns to this matrix. More... | |
Matrix2D & | operator*= (const double &value) noexcept |
Multiplies and assigns to this matrix. More... | |
Matrix2D & | operator/= (const double &value) noexcept |
Divides each element of this matrix by the given value. More... | |
Static Public Member Functions | |
static Matrix2D | Identity () noexcept |
The identity element. More... | |
Related Functions | |
(Note that these are not member functions.) | |
Matrix2D | operator+ (const Matrix2D &lhs, const Matrix2D &rhs) |
Add two matrices. More... | |
Matrix2D | operator- (const Matrix2D &lhs, const Matrix2D &rhs) |
Substract two matrices. More... | |
Matrix2D | operator* (const Matrix2D &lhs, const Matrix2D &rhs) |
Multiply two matrices. More... | |
Point2D< double > | operator* (const Matrix2D &lhs, const Point2D< double > &rhs) |
Multiply matrix with 2D point. More... | |
Matrix2D | operator* (const Matrix2D &lhs, const double &rhs) |
Multiply matrix with scalar. More... | |
Matrix2D | operator* (const double &lhs, const Matrix2D &rhs) |
Multiply scalar with matrix . More... | |
Matrix2D | operator/ (const Matrix2D &lhs, const double &rhs) |
Divide matrix by scalar. More... | |
Double precision 2x2 matrix class.
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defaultnoexcept |
Default constructor for empty matrix.
Does | not throw any exception. |
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inlinenoexcept |
Construct a 2x2 matrix with an initializer list.
[in] | list | Containing exactly 4 elements. |
Any | exception derived from std::exception including CvbException. |
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inlinenoexcept |
Construct a 2x2 matrix.
[in] | a11 | Top left matrix element. |
[in] | a12 | Top right matrix element. |
[in] | a21 | Bottom left matrix element. |
[in] | a22 | Bottom right matrix element. |
Does | not throw any exception. |
Construct a 2x2 matrix that is a combination of a rotation and scale operation.
[in] | rotation | Rotation angle to create the matrix for. |
[in] | scale | Scale factor to create the matrix for. |
Does | not throw any exception. |
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inlineexplicitnoexcept |
Construct a 2x2 matrix that represents a scaling.
[in] | scale | Scale factor to create the matrix for. |
Does | not throw any exception. |
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inlinenoexcept |
Constructs a 2x2 matrix that represent a scaling with different scaling in x and y directions.
[in] | scaleX | Scale factor in X direction to create the matrix. |
[in] | scaleY | Scale factor in Y direction to create the matrix. |
Does | not throw any exception. |
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inlinenoexcept |
Construct a 2x2 matrix from two column vectors.
[in] | column1 | Column vector one. |
[in] | column2 | Columns vector two. |
Does | not throw any exception. |
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inlinenoexcept |
Gets top left matrix element.
Does | not throw any exception. |
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inlinenoexcept |
Gets top right matrix element.
Does | not throw any exception. |
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inlinenoexcept |
Gets bottom left matrix element.
Does | not throw any exception. |
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inlinenoexcept |
Gets bottom right matrix element.
Does | not throw any exception. |
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inlinenoexcept |
Index based element access.
[in] | row | The row to access. |
[in] | column | The column to access. |
Does | not throw any exception. |
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inlinenoexcept |
Index based element access.
[in] | row | The row to access. |
[in] | column | The column to access. |
Does | not throw any exception. |
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inlinenoexcept |
Matrix determinant.
Does | not throw any exception. |
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inlinestaticnoexcept |
The identity element.
Does | not throw any exception. |
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inline |
Gets the inverse of this matrix if possible.
Any | exception derived from std::exception including CvbException. |
Might cause division by zero.
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inline |
Inverts this matrix in-place if possible.
Any | exception derived from std::exception including CvbException. |
Might cause division by zero.
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inlinenoexcept |
Compares to an other matrix.
[in] | matrix | Other matrix. |
Does | not throw any exception. |
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inlinenoexcept |
Multiplies and assigns to this matrix.
[in] | value | Factor. |
Does | not throw any exception. |
Multiplies and assigns to this matrix.
[in] | matrix | Other matrix. |
Does | not throw any exception. |
Adds and assigns to this matrix.
[in] | matrix | Other matrix. |
Does | not throw any exception. |
Subtracts and assigns to this matrix.
[in] | matrix | Other matrix. |
Does | not throw any exception. |
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inlinenoexcept |
Divides each element of this matrix by the given value.
[in] | value | Divisor. |
Does | not throw any exception. |
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inlinenoexcept |
Compares to an other matrix.
[in] | matrix | Other matrix. |
Does | not throw any exception. |
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inlinenoexcept |
Index based element access.
[in] | row |
Does | not throw any exception. |
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inlinenoexcept |
Index based element access.
[in] | row |
Does | not throw any exception. |
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inlinenoexcept |
Sets top left matrix element.
[in] | a11 | The element. |
Does | not throw any exception. |
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inlinenoexcept |
Sets top right matrix element.
[in] | a12 | The element. |
Does | not throw any exception. |
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inlinenoexcept |
Sets bottom left matrix element.
[in] | a21 | The element. |
Does | not throw any exception. |
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inlinenoexcept |
Sets bottom right matrix element.
[in] | a22 | The element. |
Does | not throw any exception. |
Multiply scalar with matrix .
[in] | lhs | Right hand side value. |
[in] | rhs | Left hand side matrix. |
Does | not throw any exception. |
Multiply matrix with scalar.
[in] | lhs | Right hand side matrix. |
[in] | rhs | Left hand side value. |
Does | not throw any exception. |
Multiply two matrices.
[in] | lhs | Right hand side matrix. |
[in] | rhs | Left hand side matrix. |
Does | not throw any exception. |
Multiply matrix with 2D point.
[in] | lhs | Right hand side matrix. |
[in] | rhs | Left hand side point. |
Does | not throw any exception. |
Add two matrices.
[in] | lhs | Right hand side matrix. |
[in] | rhs | Left hand side matrix. |
Does | not throw any exception. |
Substract two matrices.
[in] | lhs | Right hand side matrix. |
[in] | rhs | Left hand side matrix. |
Does | not throw any exception. |