/* $Id: near_equal_ext.cpp 2506 2012-10-24 19:36:49Z bradbell $ */
/* --------------------------------------------------------------------------
CppAD: C++ Algorithmic Differentiation: Copyright (C) 2003-06 Bradley M. Bell

CppAD is distributed under multiple licenses. This distribution is under
the terms of the 
                    Eclipse Public License Version 1.0.

A copy of this license is included in the COPYING file of this distribution.
Please visit http://www.coin-or.org/CppAD/ for information on other licenses.
-------------------------------------------------------------------------- */

/*
Old example now just used for validation testing
*/

# include <cppad/cppad.hpp>
# include <complex>

bool NearEqualExt(void)
{	bool ok = true;
	using CppAD::AD;
	using CppAD::NearEqual;

	// double 
	double x    = 1.00000;
	double y    = 1.00001;
	double a    =  .00005;
	double r    =  .00005;
	double zero = 0.; 
	double inf  = 1. / zero;
	double nan  = 0. / zero;

	// AD<double> 
	AD<double> X(x);
	AD<double> Y(y);
	AD<double> Inf(inf);
	AD<double> Nan(nan);

	ok &= NearEqual(X, Y, zero, a);
	ok &= NearEqual(X, y, zero, a);
	ok &= NearEqual(x, Y, zero, a);

	ok &= ! NearEqual(X, Y, zero, a/25.);
	ok &= ! NearEqual(X, y, zero, a/25.);
	ok &= ! NearEqual(x, Y, zero, a/25.);

	ok &= NearEqual(X, Y, r, zero);
	ok &= NearEqual(X, y, r, zero);
	ok &= NearEqual(x, Y, r, zero);

	ok &= ! NearEqual(X, Y, r/25., zero);
	ok &= ! NearEqual(X, y, r/25., zero);
	ok &= ! NearEqual(x, Y, r/25., zero);

	ok &= ! NearEqual(Inf, Inf, r, a);
	ok &= ! NearEqual(Inf, inf, r, a);
	ok &= ! NearEqual(inf, Inf, r, a);

	ok &= ! NearEqual(-Inf, -Inf, r, a);
	ok &= ! NearEqual(-Inf, -inf, r, a);
	ok &= ! NearEqual(-inf, -Inf, r, a);

	ok &= ! NearEqual(Nan, Nan, r, a);
	ok &= ! NearEqual(Nan, nan, r, a);
	ok &= ! NearEqual(nan, Nan, r, a);

	return ok;
}
