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// fuzzy.cc -- template for fuzzy comparisons et al on floating point values
// $Id$
//
// fuzzy::tolerance - comparison tolerance
// fuzzy::EQ
// fuzzy::is_integer
// fuzzy::floor
// fuzzy::ceiling
//
// *** instantiations of fuzzy template for <float> and <double>
//
#include "stdc.h"
#include "util++.hh"
//*****************************************************************************
template <class fpt>
bool fuzzy<fpt>::EQ(fpt x, fpt y)
{
fpt max_abs = jtutil::max(jtutil::abs(x), jtutil::abs(y));
fpt epsilon = jtutil::max(tolerance, tolerance*max_abs);
return jtutil::abs<fpt>(x-y) <= epsilon;
}
//*****************************************************************************
template <class fpt>
bool fuzzy<fpt>::is_integer(fpt x)
{
int i = round<fpt>::to_integer(x);
return EQ(x, fpt(i));
}
//*****************************************************************************
template <class fpt>
int fuzzy<fpt>::floor(fpt x)
{
return fuzzy<fpt>::is_integer(x)
? round<fpt>::to_integer(x)
: round<fpt>::floor(x);
}
//*****************************************************************************
template <class fpt>
int fuzzy<fpt>::ceiling(fpt x)
{
return fuzzy<fpt>::is_integer(x)
? round<fpt>::to_integer(x)
: round<fpt>::ceiling(x);
}
//*****************************************************************************
// *** instantiations of fuzzy template for <float> and <double>
//*****************************************************************************
// instantiation for <float>
template class fuzzy<float>;
float fuzzy<float>::tolerance = 1.0e-5; // about 100 * FLT_EPSILON
// instantiations for <double>
template class fuzzy<double>;
double fuzzy<double>::tolerance = 1.0e-12; // about 1e4 * DBL_EPSILON
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