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-rw-r--r--examples/spectrum/3rdparty/fftreal/TestAccuracy.hpp472
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diff --git a/examples/spectrum/3rdparty/fftreal/TestAccuracy.hpp b/examples/spectrum/3rdparty/fftreal/TestAccuracy.hpp
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--- a/examples/spectrum/3rdparty/fftreal/TestAccuracy.hpp
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-/*****************************************************************************
-
- TestAccuracy.hpp
- Copyright (c) 2005 Laurent de Soras
-
---- Legal stuff ---
-
-This library is free software; you can redistribute it and/or
-modify it under the terms of the GNU Lesser General Public
-License as published by the Free Software Foundation; either
-version 2.1 of the License, or (at your option) any later version.
-
-This library 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
-Lesser General Public License for more details.
-
-You should have received a copy of the GNU Lesser General Public
-License along with this library; if not, write to the Free Software
-Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
-
-*Tab=3***********************************************************************/
-
-
-
-#if defined (TestAccuracy_CURRENT_CODEHEADER)
- #error Recursive inclusion of TestAccuracy code header.
-#endif
-#define TestAccuracy_CURRENT_CODEHEADER
-
-#if ! defined (TestAccuracy_CODEHEADER_INCLUDED)
-#define TestAccuracy_CODEHEADER_INCLUDED
-
-
-
-/*\\\ INCLUDE FILES \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*/
-
-#include "def.h"
-#include "test_fnc.h"
-#include "TestWhiteNoiseGen.h"
-
-#include <typeinfo>
-#include <vector>
-
-#include <cmath>
-#include <cstdio>
-
-
-
-static const double TestAccuracy_LN10 = 2.3025850929940456840179914546844;
-
-
-
-/*\\\ PUBLIC \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*/
-
-
-
-template <class FO>
-int TestAccuracy <FO>::perform_test_single_object (FO &fft)
-{
- assert (&fft != 0);
-
- using namespace std;
-
- int ret_val = 0;
-
- const std::type_info & ti = typeid (fft);
- const char * class_name_0 = ti.name ();
-
- if (ret_val == 0)
- {
- ret_val = perform_test_d (fft, class_name_0);
- }
- if (ret_val == 0)
- {
- ret_val = perform_test_i (fft, class_name_0);
- }
- if (ret_val == 0)
- {
- ret_val = perform_test_di (fft, class_name_0);
- }
-
- if (ret_val == 0)
- {
- printf ("\n");
- }
-
- return (ret_val);
-}
-
-
-
-template <class FO>
-int TestAccuracy <FO>::perform_test_d (FO &fft, const char *class_name_0)
-{
- assert (&fft != 0);
- assert (class_name_0 != 0);
-
- using namespace std;
-
- int ret_val = 0;
- const long len = fft.get_length ();
- const long nbr_tests = limit (
- NBR_ACC_TESTS / len / len,
- 1L,
- static_cast <long> (MAX_NBR_TESTS)
- );
-
- printf ("Testing %s::do_fft () [%ld samples]... ", class_name_0, len);
- fflush (stdout);
- TestWhiteNoiseGen <DataType> noise;
- std::vector <DataType> x (len);
- std::vector <DataType> s1 (len);
- std::vector <DataType> s2 (len);
- BigFloat err_avg = 0;
-
- for (long test = 0; test < nbr_tests && ret_val == 0; ++ test)
- {
- noise.generate (&x [0], len);
- fft.do_fft (&s1 [0], &x [0]);
- compute_tf (&s2 [0], &x [0], len);
-
- BigFloat max_err;
- compare_vect_display (&s1 [0], &s2 [0], len, max_err);
- err_avg += max_err;
- }
- err_avg /= NBR_ACC_TESTS;
-
- printf ("done.\n");
- printf (
- "Average maximum error: %.6f %% (%f dB)\n",
- static_cast <double> (err_avg * 100),
- static_cast <double> ((20 / TestAccuracy_LN10) * log (err_avg))
- );
-
- return (ret_val);
-}
-
-
-
-template <class FO>
-int TestAccuracy <FO>::perform_test_i (FO &fft, const char *class_name_0)
-{
- assert (&fft != 0);
- assert (class_name_0 != 0);
-
- using namespace std;
-
- int ret_val = 0;
- const long len = fft.get_length ();
- const long nbr_tests = limit (
- NBR_ACC_TESTS / len / len,
- 10L,
- static_cast <long> (MAX_NBR_TESTS)
- );
-
- printf ("Testing %s::do_ifft () [%ld samples]... ", class_name_0, len);
- fflush (stdout);
- TestWhiteNoiseGen <DataType> noise;
- std::vector <DataType> s (len);
- std::vector <DataType> x1 (len);
- std::vector <DataType> x2 (len);
- BigFloat err_avg = 0;
-
- for (long test = 0; test < nbr_tests && ret_val == 0; ++ test)
- {
- noise.generate (&s [0], len);
- fft.do_ifft (&s [0], &x1 [0]);
- compute_itf (&x2 [0], &s [0], len);
-
- BigFloat max_err;
- compare_vect_display (&x1 [0], &x2 [0], len, max_err);
- err_avg += max_err;
- }
- err_avg /= NBR_ACC_TESTS;
-
- printf ("done.\n");
- printf (
- "Average maximum error: %.6f %% (%f dB)\n",
- static_cast <double> (err_avg * 100),
- static_cast <double> ((20 / TestAccuracy_LN10) * log (err_avg))
- );
-
- return (ret_val);
-}
-
-
-
-template <class FO>
-int TestAccuracy <FO>::perform_test_di (FO &fft, const char *class_name_0)
-{
- assert (&fft != 0);
- assert (class_name_0 != 0);
-
- using namespace std;
-
- int ret_val = 0;
- const long len = fft.get_length ();
- const long nbr_tests = limit (
- NBR_ACC_TESTS / len / len,
- 1L,
- static_cast <long> (MAX_NBR_TESTS)
- );
-
- printf (
- "Testing %s::do_fft () / do_ifft () / rescale () [%ld samples]... ",
- class_name_0,
- len
- );
- fflush (stdout);
- TestWhiteNoiseGen <DataType> noise;
- std::vector <DataType> x (len);
- std::vector <DataType> s (len);
- std::vector <DataType> y (len);
- BigFloat err_avg = 0;
-
- for (long test = 0; test < nbr_tests && ret_val == 0; ++ test)
- {
- noise.generate (&x [0], len);
- fft.do_fft (&s [0], &x [0]);
- fft.do_ifft (&s [0], &y [0]);
- fft.rescale (&y [0]);
-
- BigFloat max_err;
- compare_vect_display (&x [0], &y [0], len, max_err);
- err_avg += max_err;
- }
- err_avg /= NBR_ACC_TESTS;
-
- printf ("done.\n");
- printf (
- "Average maximum error: %.6f %% (%f dB)\n",
- static_cast <double> (err_avg * 100),
- static_cast <double> ((20 / TestAccuracy_LN10) * log (err_avg))
- );
-
- return (ret_val);
-}
-
-
-
-/*\\\ PROTECTED \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*/
-
-
-
-/*\\\ PRIVATE \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*/
-
-
-
-// Positive transform
-template <class FO>
-void TestAccuracy <FO>::compute_tf (DataType s [], const DataType x [], long length)
-{
- assert (s != 0);
- assert (x != 0);
- assert (length >= 2);
- assert ((length & 1) == 0);
-
- const long nbr_bins = length >> 1;
-
- // DC and Nyquist
- BigFloat dc = 0;
- BigFloat ny = 0;
- for (long pos = 0; pos < length; pos += 2)
- {
- const BigFloat even = x [pos ];
- const BigFloat odd = x [pos + 1];
- dc += even + odd;
- ny += even - odd;
- }
- s [0 ] = static_cast <DataType> (dc);
- s [nbr_bins] = static_cast <DataType> (ny);
-
- // Regular bins
- for (long bin = 1; bin < nbr_bins; ++ bin)
- {
- BigFloat sum_r = 0;
- BigFloat sum_i = 0;
-
- const BigFloat m = bin * static_cast <BigFloat> (2 * PI) / length;
-
- for (long pos = 0; pos < length; ++pos)
- {
- using namespace std;
-
- const BigFloat phase = pos * m;
- const BigFloat e_r = cos (phase);
- const BigFloat e_i = sin (phase);
-
- sum_r += x [pos] * e_r;
- sum_i += x [pos] * e_i;
- }
-
- s [ bin] = static_cast <DataType> (sum_r);
- s [nbr_bins + bin] = static_cast <DataType> (sum_i);
- }
-}
-
-
-
-// Negative transform
-template <class FO>
-void TestAccuracy <FO>::compute_itf (DataType x [], const DataType s [], long length)
-{
- assert (s != 0);
- assert (x != 0);
- assert (length >= 2);
- assert ((length & 1) == 0);
-
- const long nbr_bins = length >> 1;
-
- // DC and Nyquist
- BigFloat dc = s [0 ];
- BigFloat ny = s [nbr_bins];
-
- // Regular bins
- for (long pos = 0; pos < length; ++pos)
- {
- BigFloat sum = dc + ny * (1 - 2 * (pos & 1));
-
- const BigFloat m = pos * static_cast <BigFloat> (-2 * PI) / length;
-
- for (long bin = 1; bin < nbr_bins; ++ bin)
- {
- using namespace std;
-
- const BigFloat phase = bin * m;
- const BigFloat e_r = cos (phase);
- const BigFloat e_i = sin (phase);
-
- sum += 2 * ( e_r * s [bin ]
- - e_i * s [bin + nbr_bins]);
- }
-
- x [pos] = static_cast <DataType> (sum);
- }
-}
-
-
-
-template <class FO>
-int TestAccuracy <FO>::compare_vect_display (const DataType x_ptr [], const DataType y_ptr [], long len, BigFloat &max_err_rel)
-{
- assert (x_ptr != 0);
- assert (y_ptr != 0);
- assert (len > 0);
- assert (&max_err_rel != 0);
-
- using namespace std;
-
- int ret_val = 0;
-
- BigFloat power = compute_power (&x_ptr [0], &y_ptr [0], len);
- BigFloat power_dif;
- long max_err_pos;
- compare_vect (&x_ptr [0], &y_ptr [0], power_dif, max_err_pos, len);
-
- if (power == 0)
- {
- power = power_dif;
- }
- const BigFloat power_err_rel = power_dif / power;
-
- BigFloat max_err = 0;
- max_err_rel = 0;
- if (max_err_pos >= 0)
- {
- max_err = y_ptr [max_err_pos] - x_ptr [max_err_pos];
- max_err_rel = 2 * fabs (max_err) / ( fabs (y_ptr [max_err_pos])
- + fabs (x_ptr [max_err_pos]));
- }
-
- if (power_err_rel > 0.001)
- {
- printf ("Power error : %f (%.6f %%)\n",
- static_cast <double> (power_err_rel),
- static_cast <double> (power_err_rel * 100)
- );
- if (max_err_pos >= 0)
- {
- printf (
- "Maximum error: %f - %f = %f (%f)\n",
- static_cast <double> (y_ptr [max_err_pos]),
- static_cast <double> (x_ptr [max_err_pos]),
- static_cast <double> (max_err),
- static_cast <double> (max_err_pos)
- );
- }
- }
-
- return (ret_val);
-}
-
-
-
-template <class FO>
-typename TestAccuracy <FO>::BigFloat TestAccuracy <FO>::compute_power (const DataType x_ptr [], long len)
-{
- assert (x_ptr != 0);
- assert (len > 0);
-
- BigFloat power = 0;
- for (long pos = 0; pos < len; ++pos)
- {
- const BigFloat val = x_ptr [pos];
-
- power += val * val;
- }
-
- using namespace std;
-
- power = sqrt (power) / len;
-
- return (power);
-}
-
-
-
-template <class FO>
-typename TestAccuracy <FO>::BigFloat TestAccuracy <FO>::compute_power (const DataType x_ptr [], const DataType y_ptr [], long len)
-{
- assert (x_ptr != 0);
- assert (y_ptr != 0);
- assert (len > 0);
-
- return ((compute_power (x_ptr, len) + compute_power (y_ptr, len)) * 0.5);
-}
-
-
-
-template <class FO>
-void TestAccuracy <FO>::compare_vect (const DataType x_ptr [], const DataType y_ptr [], BigFloat &power, long &max_err_pos, long len)
-{
- assert (x_ptr != 0);
- assert (y_ptr != 0);
- assert (len > 0);
- assert (&power != 0);
- assert (&max_err_pos != 0);
-
- power = 0;
- BigFloat max_dif2 = 0;
- max_err_pos = -1;
-
- for (long pos = 0; pos < len; ++pos)
- {
- const BigFloat x = x_ptr [pos];
- const BigFloat y = y_ptr [pos];
- const BigFloat dif = y - x;
- const BigFloat dif2 = dif * dif;
-
- power += dif2;
- if (dif2 > max_dif2)
- {
- max_err_pos = pos;
- max_dif2 = dif2;
- }
- }
-
- using namespace std;
-
- power = sqrt (power) / len;
-}
-
-
-
-#endif // TestAccuracy_CODEHEADER_INCLUDED
-
-#undef TestAccuracy_CURRENT_CODEHEADER
-
-
-
-/*\\\ EOF \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*/