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NearEqual Function: Example and Test

File Name
This file is called near_equal.cpp instead of NearEqual.cpp to avoid a name conflict with ../lib/NearEqual.cpp in the corresponding Microsoft project file.
 

# include <cppad/near_equal.hpp>

# include <complex>

bool Near_Equal(void)
{	bool ok = true;
	typedef std::complex<double> Complex;
	using CppAD::NearEqual;

	// double 
	double x    = 1.00000;
	double y    = 1.00001;
	double a    =  .00003;
	double r    =  .00003;
	double zero = 0.; 
	double inf  = 1. / zero;
	double nan  = 0. / zero;

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

	ok &= ! NearEqual(x, y, r / 10., a / 10.);
	ok &= ! NearEqual(inf, inf, r, a);
	ok &= ! NearEqual(-inf, -inf, r, a);
	ok &= ! NearEqual(nan, nan, r, a);

	// complex 
	Complex X(x, x / 2.);
	Complex Y(y, y / 2.);
	Complex Inf(inf, zero);
	Complex Nan(zero, nan);

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

	ok &= ! NearEqual(X, Y, r / 10., a / 10.);
	ok &= ! NearEqual(Inf, Inf, r, a);
	ok &= ! NearEqual(-Inf, -inf, r, a);
	ok &= ! NearEqual(Nan, Nan, r, a);

	return ok;
}


Input File: example/near_equal.cpp