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

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;
}