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// SPDX-License-Identifier: EPL-2.0 OR GPL-2.0-or-later
// SPDX-FileCopyrightText: Bradley M. Bell <bradbell@seanet.com>
// SPDX-FileContributor: 2003-22 Bradley M. Bell
// ----------------------------------------------------------------------------
/*
old num_limits.cpp example / test
$spell
$$
$section Numeric Limits: Example and Test$$
$index limits$$
$index example, limits$$
$index test, limits$$
$head Assumption$$
This code assumes that the decimal point is infront of the mantissa.
Hence dividing the minimum normalized value looses precision,
while multiplying the maximum normalized value results in infinity.
$head Externals$$
This example using external routines to get and set values
so that the compiler does not set the correspdong code and optimize
it out.
old verbatim%example/num_limits.cpp%0%// BEGIN C++%// END C++%1%$$
$end
*/
// BEGIN C++
// Complex examples should suppress conversion warnings
# include <cppad/wno_conversion.hpp>
# ifdef _MSC_VER
// Suppress Microsoft compiler warning about possible loss of precision,
// in the constructors (when converting to std::complex<float>)
// Type one = 1
// Type two = 2
// 1 and 2 are small enough so no loss of precision when converting to float.
# pragma warning(disable:4244)
# endif
# include <cppad/cppad.hpp>
# include <complex>
# include "extern_value.hpp"
namespace {
using CppAD::vector;
using CppAD::abs_geq;
template <class Type>
Type add_one(const Type& value)
{ return( Type(1) + value ); }
// -----------------------------------------------------------------
template <class Type>
bool check_epsilon(void)
{ bool ok = true;
typedef extern_value<Type> value;
value eps( CppAD::numeric_limits<Type>::epsilon() );
value one( Type(1) );
value two( Type(2) );
value tmp( Type(0) );
//
tmp.set( add_one( eps.get() / two.get() ) );
ok &= one.get() == tmp.get();
//
tmp.set( add_one( eps.get() ) );
ok &= one.get() != tmp.get();
return ok;
}
// -----------------------------------------------------------------
template <class Type>
bool check_min(void)
{ bool ok = true;
typedef extern_value<Type> value;
value min( CppAD::numeric_limits<Type>::min() );
value eps3( Type(3) * CppAD::numeric_limits<Type>::epsilon() );
value one( Type(1) );
value hun( Type(100) );
value tmp( Type(0) );
//
tmp.set( min.get() / hun.get() );
tmp.set( tmp.get() * hun.get() );
ok &= abs_geq(tmp.get()/min.get() - one.get(), eps3.get());
//
tmp.set( min.get() * hun.get() );
tmp.set( tmp.get() / hun.get() );
ok &= ! abs_geq(tmp.get()/min.get() - one.get(), eps3.get());
return ok;
}
// -----------------------------------------------------------------
template <class Type>
bool check_max(void)
{ bool ok = true;
typedef extern_value<Type> value;
value max2( CppAD::numeric_limits<Type>::max() / Type(2) );
value eps3( Type(3) * CppAD::numeric_limits<Type>::epsilon() );
value one( Type(1) );
value hun( Type(100) );
value tmp( Type(0) );
// In complex case, this operation can result in (inf, 0)
tmp.set( max2.get() * hun.get() );
// In complex case, this operaiotn can result in (inf,-nan)
// (where nan corresponds to inf * 0)
tmp.set( tmp.get() / hun.get() );
if( ! CppAD::isnan( tmp.get() ) ) ok &= abs_geq(
tmp.get() / max2.get() - one.get(), eps3.get()
);
//
tmp.set( max2.get() / hun.get() );
tmp.set( tmp.get() * hun.get() );
ok &= ! abs_geq(tmp.get() / max2.get() - one.get(), eps3.get() );
return ok;
}
// -----------------------------------------------------------------
template <class Type>
bool check_quiet_NaN(void)
{ bool ok = true;
typedef extern_value<Type> value;
value nan( CppAD::numeric_limits<Type>::quiet_NaN() );
value same( nan.get() );
//
ok &= nan.get() != same.get();
ok &= ! (nan.get() == same.get() );
//
return ok;
}
// -----------------------------------------------------------------
template <class Type>
bool check_infinity(void)
{ bool ok = true;
typedef extern_value<Type> value;
value inf( CppAD::numeric_limits<Type>::infinity() );
value hun( Type(100) );
value tmp( Type(0) );
tmp.set( inf.get() + hun.get() );
ok &= inf.get() == tmp.get();
tmp.set( inf.get() - inf.get() );
ok &= CppAD::isnan( tmp.get() );
return ok;
}
}
bool num_limits(void)
{ bool ok = true;
using CppAD::AD;
// -------------------------------------------------------------------
// epsilon for Base types defined by CppAD
ok &= check_epsilon<float>();
ok &= check_epsilon<double>();
ok &= check_epsilon< std::complex<float> >();
ok &= check_epsilon< std::complex<double> >();
// epsilon for some AD types.
ok &= check_epsilon< AD<float> >();
ok &= check_epsilon< AD<double> >();
ok &= check_epsilon< AD<std::complex<float> > >();
ok &= check_epsilon< AD<std::complex<double> > >();
// -------------------------------------------------------------------
// min for Base types defined by CppAD
ok &= check_min<float>();
ok &= check_min<double>();
ok &= check_min< std::complex<float> >();
ok &= check_min< std::complex<double> >();
// min for some AD types.
ok &= check_min< AD<float> >();
ok &= check_min< AD<double> >();
ok &= check_min< AD<std::complex<float> > >();
ok &= check_min< AD<std::complex<double> > >();
// -------------------------------------------------------------------
// max for Base types defined by CppAD
ok &= check_max<float>();
ok &= check_max<double>();
ok &= check_max< std::complex<float> >();
ok &= check_max< std::complex<double> >();
// max for some AD types.
ok &= check_max< AD<float> >();
ok &= check_max< AD<double> >();
ok &= check_max< AD< std::complex<float> > >();
ok &= check_max< AD< std::complex<double> > >();
// -------------------------------------------------------------------
// quiet_NaN for Base types defined by CppAD
ok &= check_quiet_NaN<float>();
ok &= check_quiet_NaN<double>();
ok &= check_quiet_NaN< std::complex<float> >();
ok &= check_quiet_NaN< std::complex<double> >();
// quiet_NaN for some AD types.
ok &= check_quiet_NaN< AD<float> >();
ok &= check_quiet_NaN< AD<double> >();
ok &= check_quiet_NaN< AD< std::complex<float> > >();
ok &= check_quiet_NaN< AD< std::complex<double> > >();
// -------------------------------------------------------------------
// infinity for Base types defined by CppAD
ok &= check_infinity<float>();
ok &= check_infinity<double>();
ok &= check_infinity< std::complex<float> >();
ok &= check_infinity< std::complex<double> >();
// infinity for some AD types.
ok &= check_infinity< AD<float> >();
ok &= check_infinity< AD<double> >();
ok &= check_infinity< AD< std::complex<float> > >();
ok &= check_infinity< AD< std::complex<double> > >();
return ok;
}
// END C++
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