@(@\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}} }@)@This is cppad-20221105 documentation. Here is a link to its
current documentation
.
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;
}
