NearEqual Function: Example and Test

near_equal.cpp

@(@\newcommand{\W}[1]{ \; #1 \; } \newcommand{\R}[1]{ {\rm #1} } \newcommand{\B}[1]{ {\bf #1} } \newcommand{\D}[2]{ \frac{\partial #1}{\partial #2} } \newcommand{\DD}[3]{ \frac{\partial^2 #1}{\partial #2 \partial #3} } \newcommand{\Dpow}[2]{ \frac{\partial^{#1}}{\partial {#2}^{#1}} } \newcommand{\dpow}[2]{ \frac{ {\rm d}^{#1}}{{\rm d}\, {#2}^{#1}} }@)@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/utility/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/utility/near_equal.cpp