Corrected headers for spectrum analyzer demo

- Added /3rdparty/ to directory path for FFTReal code
- Added missing $QT_BEGIN_LICENSE$, $QT_END_LICENSE$
- Fixed incorrect license in app/wavfile.cpp

Reviewed-by: trustme

1 files changed, 472 insertions, 0 deletions

diff --git a/demos/spectrum/3rdparty/fftreal/TestAccuracy.hpp b/demos/spectrum/3rdparty/fftreal/TestAccuracy.hpp
new file mode 100644
index 0000000..5c794f7
--- /dev/null
+++ b/demos/spectrum/3rdparty/fftreal/TestAccuracy.hpp
@@ -0,0 +1,472 @@
+/*****************************************************************************
+
+        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 \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*/