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// SPDX-License-Identifier: EPL-2.0 OR GPL-2.0-or-later
// SPDX-FileCopyrightText: Bradley M. Bell <bradbell@seanet.com>
// SPDX-FileContributor: 2003-22 Bradley M. Bell
// ----------------------------------------------------------------------------
/*
{xrst_begin azmul.cpp}
AD Absolute Zero Multiplication: Example and Test
#################################################
{xrst_literal
// BEGIN C++
// END C++
}
{xrst_end azmul.cpp}
*/
// BEGIN C++
# include <cppad/cppad.hpp>
# include <cmath>
bool azmul(void)
{ bool ok = true;
using CppAD::AD;
using CppAD::NearEqual;
double inf = std::numeric_limits<double>::infinity();
double eps = 10. * std::numeric_limits<double>::epsilon();
// domain space vector
size_t n = 2;
double x = 0.5;
double y = 2.0;
CPPAD_TESTVECTOR(AD<double>) axy(n);
axy[0] = x;
axy[1] = y;
// declare independent variables and start tape recording
CppAD::Independent(axy);
// range space vector
size_t m = 5;
CPPAD_TESTVECTOR(AD<double>) az(m);
az[0] = CppAD::azmul(axy[0], axy[1]); // azmul(variable, variable)
az[1] = CppAD::azmul(axy[0], inf); // azmul(variable, parameter=inf)
az[2] = CppAD::azmul(axy[0], 3.0); // azmul(variable, parameter=3.0)
az[3] = CppAD::azmul(0.0, axy[1]); // azmul(parameter=0.0, variable)
az[4] = CppAD::azmul(4.0, axy[1]); // azmul(parameter=4.0, variable)
// create f: axy -> az and stop tape recording
CppAD::ADFun<double> f(axy, az);
// check value when x is not zero
ok &= NearEqual(az[0] , x * y, eps, eps);
ok &= az[1] == inf;
ok &= NearEqual(az[2] , x * 3.0, eps, eps);
ok &= az[3] == 0.0;
ok &= NearEqual(az[4] , 4.0 * y, eps, eps);
// check value x is zero and y is infinity
CPPAD_TESTVECTOR(double) xy(n), z(m);
xy[0] = 0.0;
xy[1] = inf;
z = f.Forward(0, xy);
ok &= z[0] == 0.0;
ok &= z[1] == 0.0;
ok &= z[2] == 0.0;
ok &= z[3] == 0.0;
ok &= z[4] == inf;
return ok;
}
// END C++
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