#include <iostream>#include <iomanip>#include "arts.h"Go to the source code of this file.
Classes | |
| class | Joker |
| Implementation of Matrix, Vector, and such stuff. More... | |
| class | Range |
| The range class. More... | |
| class | Iterator1D |
| The iterator class for sub vectors. More... | |
| class | ConstIterator1D |
| The constant iterator class for sub vectors. More... | |
| class | ConstVectorView |
| A constant view of a Vector. More... | |
| class | VectorView |
| The VectorView class. More... | |
| class | Iterator2D |
| The row iterator class for sub matrices. More... | |
| class | ConstIterator2D |
| The const row iterator class for sub matrices. More... | |
| class | Vector |
| The Vector class. More... | |
| class | ConstMatrixView |
| A constant view of a Matrix. More... | |
| class | MatrixView |
| The MatrixView class. More... | |
| class | Matrix |
| The Matrix class. More... | |
Typedefs | |
| typedef Array< Vector > | ArrayOfVector |
| An array of vectors. | |
| typedef Array< Matrix > | ArrayOfMatrix |
| An array of matrices. | |
Functions | |
| void | copy (ConstIterator1D origin, const ConstIterator1D &end, Iterator1D target) |
| Copy data between begin and end to target. | |
| void | copy (Numeric x, Iterator1D target, const Iterator1D &end) |
| Copy a scalar to all elements. | |
| void | copy (ConstIterator2D origin, const ConstIterator2D &end, Iterator2D target) |
| Copy data between begin and end to target. | |
| void | copy (Numeric x, Iterator2D target, const Iterator2D &end) |
| Copy a scalar to all elements. | |
| std::ostream & | operator<< (std::ostream &os, const ConstVectorView &v) |
| Output operator. | |
| std::ostream & | operator<< (std::ostream &os, const ConstMatrixView &v) |
| Output operator. | |
| Numeric | operator* (const ConstVectorView &a, const ConstVectorView &b) |
| Scalar product. | |
| void | mult (VectorView y, const ConstMatrixView &M, const ConstVectorView &x) |
| Matrix Vector multiplication. | |
| void | mult (MatrixView A, const ConstMatrixView &B, const ConstMatrixView &C) |
| Matrix multiplication. | |
| ConstMatrixView | transpose (ConstMatrixView m) |
| Const version of transpose. | |
| MatrixView | transpose (MatrixView m) |
| Returns the transpose. | |
| void | transform (VectorView y, double(&my_func)(double), ConstVectorView x) |
| A generic transform function for vectors, which can be used to implement mathematical functions operating on all elements. | |
| void | transform (MatrixView y, double(&my_func)(double), ConstMatrixView x) |
| A generic transform function for matrices, which can be used to implement mathematical functions operating on all elements. | |
| Numeric | max (const ConstVectorView &x) |
| Max function, vector version. | |
| Numeric | max (const ConstMatrixView &x) |
| Max function, matrix version. | |
| Numeric | min (const ConstVectorView &x) |
| Min function, vector version. | |
| Numeric | min (const ConstMatrixView &x) |
| Min function, matrix version. | |
Variables | |
| Joker | joker |
| Define the global joker objekt. | |
| typedef Array<Matrix> ArrayOfMatrix |
| typedef Array<Vector> ArrayOfVector |
| void copy | ( | Numeric | x, | |
| Iterator2D | target, | |||
| const Iterator2D & | end | |||
| ) | [inline] |
| void copy | ( | ConstIterator2D | origin, | |
| const ConstIterator2D & | end, | |||
| Iterator2D | target | |||
| ) | [inline] |
Copy data between begin and end to target.
Target must be a valid area of memory. Note that the strides in the iterators can be different, so that we can for example copy data between different kinds of subvectors.
Origin, end, and target are 2D iterators, marking rows in a matrix. For each row the 1D iterator is obtained and used to copy the elements.
Definition at line 2090 of file matpackI.h.
| void copy | ( | Numeric | x, | |
| Iterator1D | target, | |||
| const Iterator1D & | end | |||
| ) | [inline] |
| void copy | ( | ConstIterator1D | origin, | |
| const ConstIterator1D & | end, | |||
| Iterator1D | target | |||
| ) | [inline] |
Copy data between begin and end to target.
Target must be a valid area of memory. Note that the strides in the iterators can be different, so that we can for example copy data between different kinds of subvectors.
Definition at line 1319 of file matpackI.h.
| Numeric max | ( | const ConstMatrixView & | x | ) | [inline] |
| Numeric max | ( | const ConstVectorView & | x | ) | [inline] |
| Numeric min | ( | const ConstMatrixView & | x | ) | [inline] |
| Numeric min | ( | const ConstVectorView & | x | ) | [inline] |
| void mult | ( | MatrixView | A, | |
| const ConstMatrixView & | B, | |||
| const ConstMatrixView & | C | |||
| ) | [inline] |
Matrix multiplication.
A = B*C. Note that the order is different from MTL, output comes first! Dimensions of A, B, and C must match. No memory reallocation takes place, only the data is copied. Using this function on overlapping MatrixViews belonging to the same Matrix will lead to unpredictable results.
Definition at line 2336 of file matpackI.h.
| void mult | ( | VectorView | y, | |
| const ConstMatrixView & | M, | |||
| const ConstVectorView & | x | |||
| ) | [inline] |
y = M*x. Note that the order is different from MTL, output comes first! Dimensions of y, M, and x must match. No memory reallocation takes place, only the data is copied. Using this function on overlapping MatrixViews belonging to the same Matrix will lead to unpredictable results.
Definition at line 2291 of file matpackI.h.
| Numeric operator* | ( | const ConstVectorView & | a, | |
| const ConstVectorView & | b | |||
| ) | [inline] |
| std::ostream& operator<< | ( | std::ostream & | os, | |
| const ConstMatrixView & | v | |||
| ) | [inline] |
Output operator.
This demonstrates how iterators can be used to traverse the matrix. The iterators know which part of the matrix is `active', and also the strides in both directions. This function is a bit more complicated than necessary to illustrate the concept, because the formating should look nice. This means that the first row, and the first element in each row, have to be treated individually.
Definition at line 1622 of file matpackI.h.
| std::ostream& operator<< | ( | std::ostream & | os, | |
| const ConstVectorView & | v | |||
| ) | [inline] |
Output operator.
This demonstrates how iterators can be used to traverse the vector. The iterators know which part of the vector is `active', and also the stride.
Definition at line 1035 of file matpackI.h.
| void transform | ( | MatrixView | y, | |
| double(&)(double) | my_func, | |||
| ConstMatrixView | x | |||
| ) | [inline] |
A generic transform function for matrices, which can be used to implement mathematical functions operating on all elements.
Because we have this, we don't need explicit functions like sqrt for matrices! The type of the mathematical function is double (&my_func)(double). Numeric would not work here, since mathematical functions for float do not exist!
transform(y,sin,x) computes y = sin(x)
This function can also be used for Vectors, because there is a conversion to MatrixView.
The two Matrix views may be the same one, in which case the conversion happens in place.
| y | the results of the function acting on each element of x |
| my_func | a function (e.g., sqrt) | |
| x | a matrix |
Definition at line 2437 of file matpackI.h.
| void transform | ( | VectorView | y, | |
| double(&)(double) | my_func, | |||
| ConstVectorView | x | |||
| ) | [inline] |
A generic transform function for vectors, which can be used to implement mathematical functions operating on all elements.
Because we have this, we don't need explicit functions like sqrt for matrices! The type of the mathematical function is double (&my_func)(double). Numeric would not work here, since mathematical functions for float do not exist!
transform(y,sin,x) computes y = sin(x)
Although the matrix version of this can also be used for vectors, thanks to the automatic interpretation of a vector as a one column matrix, this one is slightly more efficient. However, the difference is very small (only a few percent).
The two views may be the same one, in which case the conversion happens in place.
| y | the results of the function acting on each element of x |
| my_func | a function (e.g., sqrt) | |
| x | a vector |
Definition at line 2405 of file matpackI.h.
| MatrixView transpose | ( | MatrixView | m | ) | [inline] |
Returns the transpose.
This creates a special MatrixView for the transpose. The original is not changed!
Definition at line 2380 of file matpackI.h.
| ConstMatrixView transpose | ( | ConstMatrixView | m | ) | [inline] |
Define the global joker objekt.
This is used by Matpack to specify joker ranges.
Definition at line 233 of file constants.cc.
1.5.6