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/*!
* \file
* \brief Fixed-point classes test program
* \author Johan Bergman and Adam Piatyszek
*
* -------------------------------------------------------------------------
*
* Copyright (C) 1995-2013 (see AUTHORS file for a list of contributors)
*
* This file is part of IT++ - a C++ library of mathematical, signal
* processing, speech processing, and communications classes and functions.
*
* IT++ 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 of the License, or (at your option) any
* later version.
*
* IT++ 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 IT++. If not, see <http://www.gnu.org/licenses/>.
*
* -------------------------------------------------------------------------
*/
#include <itpp/itfixed.h>
#include <iomanip>
#include "gtest/gtest.h"
using namespace itpp;
using namespace std;
TEST (Fix, All)
{
// This is a hack for improper rounding under MinGW
static const double eps = 1e-4;
// Testing declaration, initialization and conversion
int shift(10); // -64...+63 (0 is default)
int wordlen(20); // 1...64 (64 is default)
e_mode emode(TC); // TC or US (TC is default)
o_mode omode(WRAP); // WRAP or SAT (WRAP is default)
q_mode qmode(TRN); // RND or TRN (TRN is default)
Stat *stat_ptr(0); // 0 or Stat* value (0 is default)
// For double and complex<double>
double real_value(3.14159265358979323846);
complex<double> complex_value(100.0 / 3.0, 200.0 / 3.0);
// For Fix and CFix
Fix the_fix(real_value, shift, wordlen, emode, omode, qmode, stat_ptr);
ASSERT_NEAR(3.14062, double(the_fix), eps);
CFix the_cfix(complex_value, 0.0, shift, wordlen, emode, omode, qmode,
stat_ptr);
complex<double> actual = complex<double>(the_cfix);
ASSERT_NEAR(33.333, actual.real(), eps);
ASSERT_NEAR(66.666, actual.imag(), eps);
// For Fixed and CFixed
Fixed<20, TC, WRAP, TRN> the_fixed(real_value, shift, stat_ptr);
ASSERT_NEAR(3.14062, double(the_fixed), eps);
CFixed<20, TC, WRAP, TRN> the_cfixed(complex_value, 0.0, shift, stat_ptr);
actual = complex<double>(the_cfixed);
ASSERT_NEAR(33.333, actual.real(), eps);
ASSERT_NEAR(66.666, actual.imag(), eps);
// For Fixed and CFixed declared using a typedef
fixed20 the_fixed20(real_value, shift, stat_ptr);
ASSERT_NEAR(3.14062, double(the_fixed20), eps);
cfixed20 the_cfixed20(complex_value, 0.0, shift, stat_ptr);
actual = complex<double>(the_cfixed20);
ASSERT_NEAR(33.333, actual.real(), eps);
ASSERT_NEAR(66.666, actual.imag(), eps);
// For Fix and CFix declared using a factory
Fix the_fix20(FIX20);
the_fix20.set(real_value, shift);
ASSERT_NEAR(3.14062, double(the_fix20), eps);
CFix the_cfix20(FIX20);
the_cfix20.set(complex_value, shift);
actual = complex<double>(the_cfix20);
ASSERT_NEAR(33.333, actual.real(), eps);
ASSERT_NEAR(66.666, actual.imag(), eps);
// Testing Array/Vec/Mat declarations and operations
int vec_length(2);
// For Vec<Fix> and Vec<CFix>
fixvec the_fixvec(vec_length, FIX20);
the_fixvec = Fix(real_value, shift);
vec v_actual = to_vec(the_fixvec);
vec v_expect = "3.14062 3.14062";
int i;
for (i = 0; i < v_actual.length(); ++i) {
ASSERT_NEAR(v_actual[i], v_expect[i], eps);
}
cfixvec the_cfixvec(vec_length, FIX20);
the_cfixvec = CFix(complex_value, 0.0, shift);
cvec cv_actual = to_cvec(the_cfixvec);
cvec cv_expect = "33.333+66.666i 33.333+66.666i";
for (i = 0; i < cv_actual.length(); ++i) {
ASSERT_NEAR(cv_actual[i].real(), cv_expect[i].real(), eps);
ASSERT_NEAR(cv_actual[i].imag(), cv_expect[i].imag(), eps);
}
cv_actual = to_cvec(the_cfixvec + the_fixvec);
cv_expect = "36.4736+66.666i 36.4736+66.666i";
for (i = 0; i < cv_actual.length(); ++i) {
ASSERT_NEAR(cv_actual[i].real(), cv_expect[i].real(), eps);
ASSERT_NEAR(cv_actual[i].imag(), cv_expect[i].imag(), eps);
}
cv_actual = to_cvec(the_cfixvec - the_fixvec);
cv_expect = "30.1924+66.666i 30.1924+66.666i";
for (i = 0; i < cv_actual.length(); ++i) {
ASSERT_NEAR(cv_actual[i].real(), cv_expect[i].real(), eps);
ASSERT_NEAR(cv_actual[i].imag(), cv_expect[i].imag(), eps);
}
actual = complex<double>(the_cfixvec * the_fixvec);
cv_expect = "209.373+418.746i";
ASSERT_NEAR(209.373, actual.real(), eps);
ASSERT_NEAR(418.746, actual.imag(), eps);
cv_actual = to_cvec(the_cfixvec / the_fix);
cv_expect = "10+21i 10+21i";
for (i = 0; i < cv_actual.length(); ++i) {
ASSERT_NEAR(cv_actual[i].real(), cv_expect[i].real(), eps);
ASSERT_NEAR(cv_actual[i].imag(), cv_expect[i].imag(), eps);
}
// Testing functions
// Function is_fix
Array<Array<fixvec> > the_array2d_fixvec;
ASSERT_TRUE(is_fix(the_array2d_fixvec));
// Function set_fix
vec original_float = "0:7";
fixvec resulting_fix(FIX3);
set_fix(resulting_fix, original_float, 0);
v_actual = to_vec(resulting_fix);
v_expect = "0 1 2 3 -4 -3 -2 -1";
for (i = 0; i < v_actual.length(); ++i) {
ASSERT_NEAR(v_actual[i], v_expect[i], eps);
}
vec resulting_float(FIX3);
set_fix(resulting_float, original_float, 0);
for (i = 0; i < resulting_float.length(); ++i) {
ASSERT_NEAR(resulting_float[i], original_float[i], eps);
}
// Function lshift_fix
Fix fix_to_be_lshifted(FIX16);
fix_to_be_lshifted = 77;
lshift_fix(fix_to_be_lshifted, 1);
ASSERT_NEAR(77, double(fix_to_be_lshifted), eps);
// Function rshift_fix
Fix fix_to_be_rshifted(FIX16);
fix_to_be_rshifted = Fix(3.14, 8);
rshift_fix(fix_to_be_rshifted, 6, RND);
ASSERT_NEAR(3.25, double(fix_to_be_rshifted), eps);
}
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