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Martin Reinecke 2012-06-27 16:44:31 +02:00
commit 2942428e92
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libfftpack/ls_fft.c Normal file
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/*
* This file is part of libfftpack.
*
* libfftpack 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.
*
* libfftpack 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 libfftpack; if not, write to the Free Software
* Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*/
/*
* libfftpack is being developed at the Max-Planck-Institut fuer Astrophysik
* and financially supported by the Deutsches Zentrum fuer Luft- und Raumfahrt
* (DLR).
*/
/*
* Copyright (C) 2005 Max-Planck-Society
* \author Martin Reinecke
*/
#include <stdlib.h>
#include <math.h>
#include <string.h>
#include "bluestein.h"
#include "fftpack.h"
#include "ls_fft.h"
complex_plan make_complex_plan (size_t length)
{
complex_plan plan = RALLOC(complex_plan_i,1);
size_t pfsum = prime_factor_sum(length);
double comp1 = (double)(length*pfsum);
double comp2 = 2*3*length*log(3.*length);
comp2*=3.; /* fudge factor that appears to give good overall performance */
plan->length=length;
plan->bluestein = (comp2<comp1);
if (plan->bluestein)
bluestein_i (length,&(plan->work),&(plan->worksize));
else
{
plan->worksize=4*length+15;
plan->work=RALLOC(double,4*length+15);
cffti(length, plan->work);
}
return plan;
}
complex_plan copy_complex_plan (complex_plan plan)
{
if (!plan) return NULL;
{
complex_plan newplan = RALLOC(complex_plan_i,1);
*newplan = *plan;
newplan->work=RALLOC(double,newplan->worksize);
memcpy(newplan->work,plan->work,sizeof(double)*newplan->worksize);
return newplan;
}
}
void kill_complex_plan (complex_plan plan)
{
DEALLOC(plan->work);
DEALLOC(plan);
}
void complex_plan_forward (complex_plan plan, double *data)
{
if (plan->bluestein)
bluestein (plan->length, data, plan->work, -1);
else
cfftf (plan->length, data, plan->work);
}
void complex_plan_backward (complex_plan plan, double *data)
{
if (plan->bluestein)
bluestein (plan->length, data, plan->work, 1);
else
cfftb (plan->length, data, plan->work);
}
real_plan make_real_plan (size_t length)
{
real_plan plan = RALLOC(real_plan_i,1);
size_t pfsum = prime_factor_sum(length);
double comp1 = .5*length*pfsum;
double comp2 = 2*3*length*log(3.*length);
comp2*=3; /* fudge factor that appears to give good overall performance */
plan->length=length;
plan->bluestein = (comp2<comp1);
if (plan->bluestein)
bluestein_i (length,&(plan->work),&(plan->worksize));
else
{
plan->worksize=2*length+15;
plan->work=RALLOC(double,2*length+15);
rffti(length, plan->work);
}
return plan;
}
real_plan copy_real_plan (real_plan plan)
{
if (!plan) return NULL;
{
real_plan newplan = RALLOC(real_plan_i,1);
*newplan = *plan;
newplan->work=RALLOC(double,newplan->worksize);
memcpy(newplan->work,plan->work,sizeof(double)*newplan->worksize);
return newplan;
}
}
void kill_real_plan (real_plan plan)
{
DEALLOC(plan->work);
DEALLOC(plan);
}
void real_plan_forward_fftpack (real_plan plan, double *data)
{
if (plan->bluestein)
{
size_t m;
size_t n=plan->length;
double *tmp = RALLOC(double,2*n);
for (m=0; m<n; ++m)
{
tmp[2*m] = data[m];
tmp[2*m+1] = 0.;
}
bluestein(n,tmp,plan->work,-1);
data[0] = tmp[0];
memcpy (data+1, tmp+2, (n-1)*sizeof(double));
DEALLOC(tmp);
}
else
rfftf (plan->length, data, plan->work);
}
static void fftpack2halfcomplex (double *data, size_t n)
{
size_t m;
double *tmp = RALLOC(double,n);
tmp[0]=data[0];
for (m=1; m<(n+1)/2; ++m)
{
tmp[m]=data[2*m-1];
tmp[n-m]=data[2*m];
}
if (!(n&1))
tmp[n/2]=data[n-1];
memcpy (data,tmp,n*sizeof(double));
DEALLOC(tmp);
}
static void halfcomplex2fftpack (double *data, size_t n)
{
size_t m;
double *tmp = RALLOC(double,n);
tmp[0]=data[0];
for (m=1; m<(n+1)/2; ++m)
{
tmp[2*m-1]=data[m];
tmp[2*m]=data[n-m];
}
if (!(n&1))
tmp[n-1]=data[n/2];
memcpy (data,tmp,n*sizeof(double));
DEALLOC(tmp);
}
void real_plan_forward_fftw (real_plan plan, double *data)
{
real_plan_forward_fftpack (plan, data);
fftpack2halfcomplex (data,plan->length);
}
void real_plan_backward_fftpack (real_plan plan, double *data)
{
if (plan->bluestein)
{
size_t m;
size_t n=plan->length;
double *tmp = RALLOC(double,2*n);
tmp[0]=data[0];
tmp[1]=0.;
memcpy (tmp+2,data+1, (n-1)*sizeof(double));
if ((n&1)==0) tmp[n+1]=0.;
for (m=2; m<n; m+=2)
{
tmp[2*n-m]=tmp[m];
tmp[2*n-m+1]=-tmp[m+1];
}
bluestein (n, tmp, plan->work, 1);
for (m=0; m<n; ++m)
data[m] = tmp[2*m];
DEALLOC(tmp);
}
else
rfftb (plan->length, data, plan->work);
}
void real_plan_backward_fftw (real_plan plan, double *data)
{
halfcomplex2fftpack (data,plan->length);
real_plan_backward_fftpack (plan, data);
}
void real_plan_forward_c (real_plan plan, double *data)
{
size_t m;
size_t n=plan->length;
if (plan->bluestein)
{
for (m=1; m<2*n; m+=2)
data[m]=0;
bluestein (plan->length, data, plan->work, -1);
data[1]=0;
for (m=2; m<n; m+=2)
{
double avg;
avg = 0.5*(data[2*n-m]+data[m]);
data[2*n-m] = data[m] = avg;
avg = 0.5*(data[2*n-m+1]-data[m+1]);
data[2*n-m+1] = avg;
data[m+1] = -avg;
}
if ((n&1)==0) data[n+1] = 0.;
}
else
{
/* using "m+m" instead of "2*m" to avoid a nasty bug in Intel's compiler */
for (m=0; m<n; ++m) data[m+1] = data[m+m];
rfftf (n, data+1, plan->work);
data[0] = data[1];
data[1] = 0;
for (m=2; m<n; m+=2)
{
data[2*n-m] = data[m];
data[2*n-m+1] = -data[m+1];
}
if ((n&1)==0) data[n+1] = 0.;
}
}
void real_plan_backward_c (real_plan plan, double *data)
{
size_t n=plan->length;
if (plan->bluestein)
{
size_t m;
data[1]=0;
for (m=2; m<n; m+=2)
{
double avg;
avg = 0.5*(data[2*n-m]+data[m]);
data[2*n-m] = data[m] = avg;
avg = 0.5*(data[2*n-m+1]-data[m+1]);
data[2*n-m+1] = avg;
data[m+1] = -avg;
}
if ((n&1)==0) data[n+1] = 0.;
bluestein (plan->length, data, plan->work, 1);
for (m=1; m<2*n; m+=2)
data[m]=0;
}
else
{
ptrdiff_t m;
data[1] = data[0];
rfftb (n, data+1, plan->work);
for (m=n-1; m>=0; --m)
{
data[2*m] = data[m+1];
data[2*m+1] = 0.;
}
}
}