#include <itpp/base/vec.h>
#include <itpp/base/mat.h>
Go to the source code of this file.
Namespaces | |
namespace | itpp |
Functions | |
template<class T> | |
int | length (const Vec< T > &v) |
Length of vector. | |
template<class T> | |
int | size (const Vec< T > &v) |
Length of vector. | |
template<class T> | |
T | sum (const Vec< T > &v) |
Sum of all elements in the vector. | |
template<class T> | |
Vec< T > | sum (const Mat< T > &m, int dim=1) |
Sum of elements in the matrix m . | |
template<class T> | |
T | sum_sqr (const Vec< T > &v) |
Sum of square of the elements in a vector. | |
template<class T> | |
Vec< T > | sum_sqr (const Mat< T > &m, int dim=1) |
Sum of the square of elements in the matrix m . | |
template<class T> | |
Vec< T > | cumsum (const Vec< T > &v) |
Cumulative sum of all elements in the vector. | |
template<class T> | |
Mat< T > | cumsum (const Mat< T > &m, int dim=1) |
Cumulative sum of elements in the matrix m . | |
template<class T> | |
T | prod (const Vec< T > &v) |
The product of all elements in the vector. | |
template<class T> | |
Vec< T > | prod (const Mat< T > &m, int dim=1) |
Product of elements in the matrix m . | |
template<class T> | |
Vec< T > | cross (const Vec< T > &v1, const Vec< T > &v2) |
Vector cross product. Vectors need to be of size 3. | |
template<class T, class fT> | |
Vec< T > | apply_function (fT(*f)(fT), const Vec< T > &data) |
Apply arbitrary function to a vector. | |
template<class T, class fT> | |
Mat< T > | apply_function (fT(*f)(fT), const Mat< T > &data) |
Apply arbitrary functions to a matrix. | |
template<class T> | |
Vec< T > | zero_pad (const Vec< T > &v, int n) |
Zero-pad a vector to size n. | |
template<class T> | |
Vec< T > | zero_pad (const Vec< T > &v) |
Zero-pad a vector to the nearest greater power of two. | |
template<class T> | |
Mat< T > | zero_pad (const Mat< T > &m, int rows, int cols) |
Zero-pad a matrix to size rows x cols. | |
template<class T> | |
T | index_zero_pad (const Vec< T > &v, const int index) |
template<class T> | |
void | transpose (const Mat< T > &m, Mat< T > &out) |
Transposition of the matrix m returning the transposed matrix in out . | |
template<class T> | |
Mat< T > | transpose (const Mat< T > &m) |
Transposition of the matrix m . | |
template<class T> | |
void | hermitian_transpose (const Mat< T > &m, Mat< T > &out) |
template<class T> | |
Mat< T > | hermitian_transpose (const Mat< T > &m) |
Hermitian transpose (complex conjugate transpose) of the matrix m . | |
template<class Num_T> | |
bool | is_hermitian (const Mat< Num_T > &X) |
Returns true if matrix X is hermitian, false otherwise. | |
template<class Num_T> | |
bool | is_unitary (const Mat< Num_T > &X) |
Returns true if matrix X is unitary, false otherwise. | |
template<class Num_T> | |
Mat< Num_T > | kron (const Mat< Num_T > &X, const Mat< Num_T > &Y) |
Computes the Kronecker product of two matrices. | |
template<class T> | |
Mat< T > | diag (const Vec< T > &v, const int K=0) |
Returns a diagonal matrix whith the elements of the vector v on the diagonal and zeros elsewhere. | |
template<class T> | |
void | diag (const Vec< T > &v, Mat< T > &m) |
Returns in the output wariable m a diagonal matrix whith the elements of the vector v on the diagonal and zeros elsewhere. | |
template<class T> | |
Vec< T > | diag (const Mat< T > &m) |
Returns the diagonal elements of the input matrix m . | |
template<class T> | |
Mat< T > | bidiag (const Vec< T > &main, const Vec< T > &sup) |
Returns a matrix with the elements of the input vector main on the diagonal and the elements of the input vector sup on the diagonal row above. | |
template<class T> | |
void | bidiag (const Vec< T > &main, const Vec< T > &sup, Mat< T > &m) |
Returns in the output variable m a matrix with the elements of the input vector main on the diagonal and the elements of the input vector sup on the diagonal row above. | |
template<class T> | |
void | bidiag (const Mat< T > &m, Vec< T > &main, Vec< T > &sup) |
Returns the main diagonal and the diagonal row above in the two output vectors main and sup . | |
template<class T> | |
Mat< T > | tridiag (const Vec< T > &main, const Vec< T > &sup, const Vec< T > &sub) |
Returns a matrix with the elements of main on the diagonal, the elements of sup on the diagonal row above, and the elements of sub on the diagonal row below. | |
template<class T> | |
void | tridiag (const Vec< T > &main, const Vec< T > &sup, const Vec< T > &sub, Mat< T > &m) |
Returns in the output matrix m a matrix with the elements of main on the diagonal, the elements of sup on the diagonal row above, and the elements of sub on the diagonal row below. | |
template<class T> | |
void | tridiag (const Mat< T > &m, Vec< T > &main, Vec< T > &sup, Vec< T > &sub) |
Returns the main diagonal, the diagonal row above, and the diagonal row below in the output vectors main , sup , and sub . | |
template<class T> | |
T | trace (const Mat< T > &m) |
The trace of the matrix m , i.e. the sum of the diagonal elements. | |
template<class T> | |
Vec< T > | reverse (const Vec< T > &in) |
Reverse the input vector. | |
template<class T> | |
Vec< T > | rvectorize (const Mat< T > &m) |
Row vectorize the matrix [(0,0) (0,1) ... (N-1,N-2) (N-1,N-1)]. | |
template<class T> | |
Vec< T > | cvectorize (const Mat< T > &m) |
Column vectorize the matrix [(0,0) (1,0) ... (N-2,N-1) (N-1,N-1)]. | |
template<class T> | |
Mat< T > | reshape (const Mat< T > &m, int rows, int cols) |
Reshape the matrix into an rows*cols matrix. | |
template<class T> | |
Mat< T > | reshape (const Vec< T > &v, int rows, int cols) |
Reshape the vector into an rows*cols matrix. | |
template<class T> | |
Vec< T > | repeat (const Vec< T > &v, int norepeats) |
Repeat each element in the vector norepeats times in sequence. | |
template<class T> | |
Mat< T > | repeat (const Mat< T > &m, int norepeats) |
Repeats each column norepeats times in sequence. | |
template<class T> | |
void | upsample (const Vec< T > &v, int usf, Vec< T > &u) |
Upsample a vector by inserting (usf-1) zeros after each sample. | |
template<class T> | |
Vec< T > | upsample (const Vec< T > &v, int usf) |
Upsample a vector by inserting (usf-1) zeros after each sample. | |
template<class T> | |
void | upsample (const Mat< T > &v, int usf, Mat< T > &u) |
Upsample each column by inserting (usf-1) zeros after each column. | |
template<class T> | |
Mat< T > | upsample (const Mat< T > &v, int usf) |
Upsample each column by inserting (usf-1) zeros after each column. | |
template<class T> | |
void | lininterp (const Mat< T > &m, int usf, Mat< T > &u) |
Upsample each column by a factor of (usf-1) by linear interpolation. | |
template<class T> | |
Mat< T > | lininterp (const Mat< T > &m, const double f_base, const double f_ups, const int nrof_samples, const double t_start=0) |
Upsample each column of matrix m to achieve f_ups frequency using linear interpolation. | |
template<class T> | |
Mat< T > | lininterp (const Mat< T > &m, int usf) |
Upsample each column by a factor of (usf-1) by linear interpolation. | |
template<class T> | |
void | lininterp (const Vec< T > &v, int usf, Vec< T > &u) |
Upsample by a factor of (usf-1) by linear interpolation. | |
template<class T> | |
Vec< T > | lininterp (const Vec< T > &v, int usf) |
Upsample by a factor of (usf-1) by linear interpolation. | |
template<class T> | |
Vec< T > | lininterp (const Vec< T > &v, const double f_base, const double f_ups, const int nrof_samples, const double t_start=0) |
Upsample each sample of vector v to achieve f_ups frequency using linear interpolation. | |
template bool | is_hermitian (const mat &X) |
Extern Template instantiation of is_hermitian. | |
template bool | is_hermitian (const cmat &X) |
Extern Template instantiation of is_hermitian. | |
template bool | is_unitary (const mat &X) |
Extern Template instantiation of is_unitary. | |
template bool | is_unitary (const cmat &X) |
Extern Template instantiation of is_unitary. |
-------------------------------------------------------------------------
IT++ - C++ library of mathematical, signal processing, speech processing, and communications classes and functions
Copyright (C) 1995-2007 (see AUTHORS file for a list of contributors)
This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
-------------------------------------------------------------------------
Definition in file matfunc.h.
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Extern Template instantiation of is_hermitian.
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Extern Template instantiation of is_hermitian.
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Extern Template instantiation of is_unitary.
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Extern Template instantiation of is_unitary.
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