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//
// $Id$
//
//
// Original author: Darren Kessner <darren@proteowizard.org>
//
// Copyright 2006 Louis Warschaw Prostate Cancer Center
// Cedars Sinai Medical Center, Los Angeles, California 90048
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
//
#include "erf.hpp"
#include "pwiz/utility/misc/unit.hpp"
#include "pwiz/utility/misc/Std.hpp"
#include <limits>
#include <cstring>
#include <cmath>
using namespace pwiz::util;
using namespace pwiz::math;
using std::numeric_limits;
using std::complex;
ostream* os_ = 0;
const double epsilon_ = numeric_limits<double>::epsilon();
/*
void test_series()
{
cout << "test_series()\n";
// we match real-valued erf within epsilon_*10 in range [-2,2],
// using 29 terms at +/-2
for (double x=-2; x<2; x+=.2)
{
complex<double> resultComplex = erf_series(complex<double>(x));
double resultReal = ((double(*)(double))erf)(x);
//cout << resultComplex << " " << resultReal << endl;
unit_assert_equal(resultComplex.real(), resultReal, epsilon_*10);
}
}
void test_series2()
{
cout << "test_series2()\n";
// 1e-12 precision in range [-20,20] using < 1200 terms
for (double x=-20; x<20; x+=2)
{
complex<double> resultComplex = erf_series2(complex<double>(x));
double resultReal = ((double(*)(double))erf)(x);
//cout << resultComplex << " " << resultReal << endl;
unit_assert_equal(resultComplex.real(), resultReal, 1e-12);
}
}
void test_1vs2()
{
cout << "test_1vs2()\n";
// erf_series matches erf_series2 in region [-2,2]x[-2,2] within 1e-10
double a = 2;
for (double x=-a; x<=a; x+=a/5.)
for (double y=-a; y<=a; y+=a/5.)
{
complex<double> z(x,y);
complex<double> result1 = erf_series(z);
complex<double> result2 = erf_series2(z);
//cout << z << ": " << abs(result1-result2) << endl;
unit_assert_equal(result1, result2, 1e-10);
}
}
void test_convergence2()
{
complex<double> z(100,1);
cout << erf_series2(z) << endl;
}
*/
#if defined(_MSC_VER)
void test_real()
{
cerr << "[erfTest] Warning: test_real() not implemented for MSVC.\n";
}
#else
void test_real()
{
// tests our complex erf against the not-so-standard gcc-provided double erf(double)
if (os_) *os_ << "test_real()\n";
double a = 10;
for (double x=-a; x<=a; x+=a/100)
{
complex<double> resultComplex = erf(complex<double>(x));
double resultReal = ((double(*)(double))::erf)(x);
if (os_) *os_ << x << " -> " << resultComplex << " " << resultReal << endl;
unit_assert_equal(resultComplex.real(), resultReal, 1e-12);
}
if (os_) *os_ << endl;
}
#endif // defined(_MSC_VER)
void test_series()
{
if (os_) *os_ << "test_series()\n";
// erf_series2 matches erf in region [-2,2]x[-2,2] within 1e-10
double a = 2;
for (double x=-a; x<=a; x+=a/5.)
for (double y=-a; y<=a; y+=a/5.)
{
complex<double> z(x,y);
complex<double> result1 = erf(z);
complex<double> result2 = erf_series2(z);
if (os_) *os_ << z << ": " << abs(result1-result2) << endl;
unit_assert_equal(abs(result1-result2), 0, 1e-10);
}
if (os_) *os_ << endl;
}
void test_real_wrapper()
{
if (os_) *os_ << "test_real_wrapper()\n";
double a = 10;
for (double x=-a; x<=a; x+=a/100)
{
double result_pwiz = pwiz::math::erf(x);
double result_std = ::erf(x);
if (os_) *os_ << x << " -> " << result_pwiz << " " << result_std << endl;
unit_assert_equal(result_pwiz, result_std, 1e-12);
}
if (os_) *os_ << endl;
}
int main(int argc, char* argv[])
{
TEST_PROLOG(argc, argv)
try
{
if (argc>1 && !strcmp(argv[1],"-v")) os_ = &cout;
if (os_) *os_ << "erfTest\n" << setprecision(20);
test_real();
test_series();
test_real_wrapper();
}
catch (exception& e)
{
TEST_FAILED(e.what())
}
catch (...)
{
TEST_FAILED("Caught unknown exception.")
}
TEST_EPILOG
}
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