/usr/include/conv.h is in libalglib-dev 2.6.0-3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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Copyright (c) 2009, Sergey Bochkanov (ALGLIB project).
>>> SOURCE LICENSE >>>
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 (www.fsf.org); 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.
A copy of the GNU General Public License is available at
http://www.fsf.org/licensing/licenses
>>> END OF LICENSE >>>
*************************************************************************/
#ifndef _conv_h
#define _conv_h
#include "ap.h"
#include "ialglib.h"
#include "ftbase.h"
#include "fft.h"
/*************************************************************************
1-dimensional complex convolution.
For given A/B returns conv(A,B) (non-circular). Subroutine can automatically
choose between three implementations: straightforward O(M*N) formula for
very small N (or M), overlap-add algorithm for cases where max(M,N) is
significantly larger than min(M,N), but O(M*N) algorithm is too slow, and
general FFT-based formula for cases where two previois algorithms are too
slow.
Algorithm has max(M,N)*log(max(M,N)) complexity for any M/N.
INPUT PARAMETERS
A - array[0..M-1] - complex function to be transformed
M - problem size
B - array[0..N-1] - complex function to be transformed
N - problem size
OUTPUT PARAMETERS
R - convolution: A*B. array[0..N+M-2].
NOTE:
It is assumed that A is zero at T<0, B is zero too. If one or both
functions have non-zero values at negative T's, you can still use this
subroutine - just shift its result correspondingly.
-- ALGLIB --
Copyright 21.07.2009 by Bochkanov Sergey
*************************************************************************/
void convc1d(const ap::complex_1d_array& a,
int m,
const ap::complex_1d_array& b,
int n,
ap::complex_1d_array& r);
/*************************************************************************
1-dimensional complex non-circular deconvolution (inverse of ConvC1D()).
Algorithm has M*log(M)) complexity for any M (composite or prime).
INPUT PARAMETERS
A - array[0..M-1] - convolved signal, A = conv(R, B)
M - convolved signal length
B - array[0..N-1] - response
N - response length, N<=M
OUTPUT PARAMETERS
R - deconvolved signal. array[0..M-N].
NOTE:
deconvolution is unstable process and may result in division by zero
(if your response function is degenerate, i.e. has zero Fourier coefficient).
NOTE:
It is assumed that A is zero at T<0, B is zero too. If one or both
functions have non-zero values at negative T's, you can still use this
subroutine - just shift its result correspondingly.
-- ALGLIB --
Copyright 21.07.2009 by Bochkanov Sergey
*************************************************************************/
void convc1dinv(const ap::complex_1d_array& a,
int m,
const ap::complex_1d_array& b,
int n,
ap::complex_1d_array& r);
/*************************************************************************
1-dimensional circular complex convolution.
For given S/R returns conv(S,R) (circular). Algorithm has linearithmic
complexity for any M/N.
IMPORTANT: normal convolution is commutative, i.e. it is symmetric -
conv(A,B)=conv(B,A). Cyclic convolution IS NOT. One function - S - is a
signal, periodic function, and another - R - is a response, non-periodic
function with limited length.
INPUT PARAMETERS
S - array[0..M-1] - complex periodic signal
M - problem size
B - array[0..N-1] - complex non-periodic response
N - problem size
OUTPUT PARAMETERS
R - convolution: A*B. array[0..M-1].
NOTE:
It is assumed that B is zero at T<0. If it has non-zero values at
negative T's, you can still use this subroutine - just shift its result
correspondingly.
-- ALGLIB --
Copyright 21.07.2009 by Bochkanov Sergey
*************************************************************************/
void convc1dcircular(const ap::complex_1d_array& s,
int m,
const ap::complex_1d_array& r,
int n,
ap::complex_1d_array& c);
/*************************************************************************
1-dimensional circular complex deconvolution (inverse of ConvC1DCircular()).
Algorithm has M*log(M)) complexity for any M (composite or prime).
INPUT PARAMETERS
A - array[0..M-1] - convolved periodic signal, A = conv(R, B)
M - convolved signal length
B - array[0..N-1] - non-periodic response
N - response length
OUTPUT PARAMETERS
R - deconvolved signal. array[0..M-1].
NOTE:
deconvolution is unstable process and may result in division by zero
(if your response function is degenerate, i.e. has zero Fourier coefficient).
NOTE:
It is assumed that B is zero at T<0. If it has non-zero values at
negative T's, you can still use this subroutine - just shift its result
correspondingly.
-- ALGLIB --
Copyright 21.07.2009 by Bochkanov Sergey
*************************************************************************/
void convc1dcircularinv(const ap::complex_1d_array& a,
int m,
const ap::complex_1d_array& b,
int n,
ap::complex_1d_array& r);
/*************************************************************************
1-dimensional real convolution.
Analogous to ConvC1D(), see ConvC1D() comments for more details.
INPUT PARAMETERS
A - array[0..M-1] - real function to be transformed
M - problem size
B - array[0..N-1] - real function to be transformed
N - problem size
OUTPUT PARAMETERS
R - convolution: A*B. array[0..N+M-2].
NOTE:
It is assumed that A is zero at T<0, B is zero too. If one or both
functions have non-zero values at negative T's, you can still use this
subroutine - just shift its result correspondingly.
-- ALGLIB --
Copyright 21.07.2009 by Bochkanov Sergey
*************************************************************************/
void convr1d(const ap::real_1d_array& a,
int m,
const ap::real_1d_array& b,
int n,
ap::real_1d_array& r);
/*************************************************************************
1-dimensional real deconvolution (inverse of ConvC1D()).
Algorithm has M*log(M)) complexity for any M (composite or prime).
INPUT PARAMETERS
A - array[0..M-1] - convolved signal, A = conv(R, B)
M - convolved signal length
B - array[0..N-1] - response
N - response length, N<=M
OUTPUT PARAMETERS
R - deconvolved signal. array[0..M-N].
NOTE:
deconvolution is unstable process and may result in division by zero
(if your response function is degenerate, i.e. has zero Fourier coefficient).
NOTE:
It is assumed that A is zero at T<0, B is zero too. If one or both
functions have non-zero values at negative T's, you can still use this
subroutine - just shift its result correspondingly.
-- ALGLIB --
Copyright 21.07.2009 by Bochkanov Sergey
*************************************************************************/
void convr1dinv(const ap::real_1d_array& a,
int m,
const ap::real_1d_array& b,
int n,
ap::real_1d_array& r);
/*************************************************************************
1-dimensional circular real convolution.
Analogous to ConvC1DCircular(), see ConvC1DCircular() comments for more details.
INPUT PARAMETERS
S - array[0..M-1] - real signal
M - problem size
B - array[0..N-1] - real response
N - problem size
OUTPUT PARAMETERS
R - convolution: A*B. array[0..M-1].
NOTE:
It is assumed that B is zero at T<0. If it has non-zero values at
negative T's, you can still use this subroutine - just shift its result
correspondingly.
-- ALGLIB --
Copyright 21.07.2009 by Bochkanov Sergey
*************************************************************************/
void convr1dcircular(const ap::real_1d_array& s,
int m,
const ap::real_1d_array& r,
int n,
ap::real_1d_array& c);
/*************************************************************************
1-dimensional complex deconvolution (inverse of ConvC1D()).
Algorithm has M*log(M)) complexity for any M (composite or prime).
INPUT PARAMETERS
A - array[0..M-1] - convolved signal, A = conv(R, B)
M - convolved signal length
B - array[0..N-1] - response
N - response length
OUTPUT PARAMETERS
R - deconvolved signal. array[0..M-N].
NOTE:
deconvolution is unstable process and may result in division by zero
(if your response function is degenerate, i.e. has zero Fourier coefficient).
NOTE:
It is assumed that B is zero at T<0. If it has non-zero values at
negative T's, you can still use this subroutine - just shift its result
correspondingly.
-- ALGLIB --
Copyright 21.07.2009 by Bochkanov Sergey
*************************************************************************/
void convr1dcircularinv(const ap::real_1d_array& a,
int m,
const ap::real_1d_array& b,
int n,
ap::real_1d_array& r);
/*************************************************************************
1-dimensional complex convolution.
Extended subroutine which allows to choose convolution algorithm.
Intended for internal use, ALGLIB users should call ConvC1D()/ConvC1DCircular().
INPUT PARAMETERS
A - array[0..M-1] - complex function to be transformed
M - problem size
B - array[0..N-1] - complex function to be transformed
N - problem size, N<=M
Alg - algorithm type:
*-2 auto-select Q for overlap-add
*-1 auto-select algorithm and parameters
* 0 straightforward formula for small N's
* 1 general FFT-based code
* 2 overlap-add with length Q
Q - length for overlap-add
OUTPUT PARAMETERS
R - convolution: A*B. array[0..N+M-1].
-- ALGLIB --
Copyright 21.07.2009 by Bochkanov Sergey
*************************************************************************/
void convc1dx(const ap::complex_1d_array& a,
int m,
const ap::complex_1d_array& b,
int n,
bool circular,
int alg,
int q,
ap::complex_1d_array& r);
/*************************************************************************
1-dimensional real convolution.
Extended subroutine which allows to choose convolution algorithm.
Intended for internal use, ALGLIB users should call ConvR1D().
INPUT PARAMETERS
A - array[0..M-1] - complex function to be transformed
M - problem size
B - array[0..N-1] - complex function to be transformed
N - problem size, N<=M
Alg - algorithm type:
*-2 auto-select Q for overlap-add
*-1 auto-select algorithm and parameters
* 0 straightforward formula for small N's
* 1 general FFT-based code
* 2 overlap-add with length Q
Q - length for overlap-add
OUTPUT PARAMETERS
R - convolution: A*B. array[0..N+M-1].
-- ALGLIB --
Copyright 21.07.2009 by Bochkanov Sergey
*************************************************************************/
void convr1dx(const ap::real_1d_array& a,
int m,
const ap::real_1d_array& b,
int n,
bool circular,
int alg,
int q,
ap::real_1d_array& r);
#endif
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