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@(@\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}} }@)@
AD Boolean Functions: Example and Test

# include <cppad/cppad.hpp>
# include <complex>


// define abbreviation for double precision complex
typedef std::complex<double> Complex;

namespace {
     // a unary bool function with Complex argument
     static bool IsReal(const Complex &x)
     {     return x.imag() == 0.; }

     // a binary bool function with Complex arguments
     static bool AbsGeq(const Complex &x, const Complex &y)
     {     double axsq = x.real() * x.real() + x.imag() * x.imag();
          double aysq = y.real() * y.real() + y.imag() * y.imag();

          return axsq >= aysq;
     }

     // Create version of IsReal with AD<Complex> argument
     // inside of namespace and outside of any other function.
     CPPAD_BOOL_UNARY(Complex, IsReal)

     // Create version of AbsGeq with AD<Complex> arguments
     // inside of namespace and outside of any other function.
     CPPAD_BOOL_BINARY(Complex, AbsGeq)

}
bool BoolFun(void)
{     bool ok = true;

     CppAD::AD<Complex> x = Complex(1.,  0.);
     CppAD::AD<Complex> y = Complex(1.,  1.);

     ok &= IsReal(x);
     ok &= ! AbsGeq(x, y);

     return ok;
}

Input File: example/general/bool_fun.cpp