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

near_equal.cpp

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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/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;
}