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/* -*- c++ -*- */
/*
* Copyright 2008 Free Software Foundation, Inc.
*
* This file is part of GNU Radio
*
* GNU Radio 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 3, or (at your option)
* any later version.
*
* GNU Radio 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 Street, Fifth Floor, Boston, MA 02110-1301 USA.
*/
#include "qa_gcp_fft_1d_r2.h"
#include <cppunit/TestAssert.h>
#include <gcell/gcp_fft_1d_r2.h>
#include <fftw3.h>
#include <stdio.h>
#include <stdlib.h> // random, posix_memalign
#include <algorithm>
#include <string.h>
typedef boost::shared_ptr<void> void_sptr;
// handle to embedded SPU executable
extern spe_program_handle_t gcell_all_spx;
/*
* Return pointer to cache-aligned chunk of storage of size size bytes.
* Throw if can't allocate memory. The storage should be freed
* with "free" when done. The memory is initialized to zero.
*/
static void *
aligned_alloc(size_t size, size_t alignment = 128)
{
void *p = 0;
if (posix_memalign(&p, alignment, size) != 0){
perror("posix_memalign");
throw std::runtime_error("memory");
}
memset(p, 0, size); // zero the memory
return p;
}
class free_deleter {
public:
void operator()(void *p) {
free(p);
}
};
static boost::shared_ptr<void>
aligned_alloc_sptr(size_t size, size_t alignment = 128)
{
return boost::shared_ptr<void>(aligned_alloc(size, alignment), free_deleter());
}
// test forward FFT
void
qa_gcp_fft_1d_r2::t1()
{
gc_jm_options opts;
opts.program_handle = gc_program_handle_from_address(&gcell_all_spx);
opts.nspes = 1;
gc_job_manager_sptr mgr = gc_make_job_manager(&opts);
#if 1
for (int log2_fft_size = 5; log2_fft_size <= 12; log2_fft_size++){
test(mgr, log2_fft_size, true);
}
#else
test(mgr, 5, true);
#endif
}
// test inverse FFT
void
qa_gcp_fft_1d_r2::t2()
{
gc_jm_options opts;
opts.program_handle = gc_program_handle_from_address(&gcell_all_spx);
opts.nspes = 1;
gc_job_manager_sptr mgr = gc_make_job_manager(&opts);
#if 1
for (int log2_fft_size = 5; log2_fft_size <= 12; log2_fft_size++){
test(mgr, log2_fft_size, false);
}
#else
test(mgr, 5, false);
#endif
}
void
qa_gcp_fft_1d_r2::t3()
{
// FIXME Test fwd and inv with windowing option
}
void
qa_gcp_fft_1d_r2::t4()
{
// FIXME Test fwd and inv with shift option
}
static inline float
abs_diff(std::complex<float> x, std::complex<float> y)
{
return std::max(std::abs(x.real()-y.real()),
std::abs(x.imag()-y.imag()));
}
static float
float_abs_rel_error(float ref, float actual)
{
float delta = ref - actual;
if (std::abs(ref) < 1e-18)
ref = 1e-18;
return std::abs(delta/ref);
}
static float
abs_rel_error(std::complex<float> ref, std::complex<float> actual)
{
return std::max(float_abs_rel_error(ref.real(), actual.real()),
float_abs_rel_error(ref.imag(), actual.imag()));
}
void
qa_gcp_fft_1d_r2::test(gc_job_manager_sptr mgr, int log2_fft_size, bool forward)
{
int fft_size = 1 << log2_fft_size;
// allocate aligned buffers with boost shared_ptr's
void_sptr fftw_in_void = aligned_alloc_sptr(fft_size * sizeof(std::complex<float>), 128);
void_sptr fftw_out_void = aligned_alloc_sptr(fft_size * sizeof(std::complex<float>), 128);
void_sptr cell_in_void = aligned_alloc_sptr(fft_size * sizeof(std::complex<float>), 128);
void_sptr cell_out_void = aligned_alloc_sptr(fft_size * sizeof(std::complex<float>), 128);
void_sptr cell_twiddle_void = aligned_alloc_sptr(fft_size/4 * sizeof(std::complex<float>), 128);
// cast them to the type we really want
std::complex<float> *fftw_in = (std::complex<float> *) fftw_in_void.get();
std::complex<float> *fftw_out = (std::complex<float> *) fftw_out_void.get();
std::complex<float> *cell_in = (std::complex<float> *) cell_in_void.get();
std::complex<float> *cell_out = (std::complex<float> *) cell_out_void.get();
std::complex<float> *cell_twiddle = (std::complex<float> *) cell_twiddle_void.get();
gcp_fft_1d_r2_twiddle(log2_fft_size, cell_twiddle);
srandom(1); // we want reproducibility
// initialize the input buffers
for (int i = 0; i < fft_size; i++){
std::complex<float> t((float) (random() & 0xfffff), (float) (random() & 0xfffff));
fftw_in[i] = t;
cell_in[i] = t;
}
// ------------------------------------------------------------------------
// compute the reference answer
fftwf_plan plan = fftwf_plan_dft_1d (fft_size,
reinterpret_cast<fftwf_complex *>(fftw_in),
reinterpret_cast<fftwf_complex *>(fftw_out),
forward ? FFTW_FORWARD : FFTW_BACKWARD,
FFTW_ESTIMATE);
if (plan == 0){
fprintf(stderr, "qa_gcp_fft_1d_r2: error creating FFTW plan\n");
throw std::runtime_error ("fftwf_plan_dft_r2c_1d failed");
}
fftwf_execute(plan);
fftwf_destroy_plan(plan);
// ------------------------------------------------------------------------
// compute the answer on the cell
gc_job_desc_sptr jd = gcp_fft_1d_r2_submit(mgr, log2_fft_size, forward, false,
cell_out, cell_in, cell_twiddle, 0);
if (!mgr->wait_job(jd.get())){
fprintf(stderr, "wait_job failed: %s\n", gc_job_status_string(jd->status).c_str());
CPPUNIT_ASSERT(0);
}
// ------------------------------------------------------------------------
// compute the maximum of the relative error
float max_rel = 0.0;
for (int i = 0; i < fft_size; i++){
max_rel = std::max(max_rel, abs_rel_error(fftw_out[i], cell_out[i]));
if (0)
printf("(%16.3f, %16.3fj) (%16.3f, %16.3fj) (%16.3f, %16.3fj)\n",
fftw_out[i].real(), fftw_out[i].imag(),
cell_out[i].real(), cell_out[i].imag(),
fftw_out[i].real() - cell_out[i].real(),
fftw_out[i].imag() - cell_out[i].imag());
}
fprintf(stdout, "%s fft_size = %4d max_rel_error = %e\n",
forward ? "fwd" : "rev", fft_size, max_rel);
CPPUNIT_ASSERT(max_rel <= 5e-3);
}
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