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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 rev_one.cpp}
First Order Derivative Driver: Example and Test
###############################################
{xrst_literal
// BEGIN C++
// END C++
}
{xrst_end rev_one.cpp}
*/
// BEGIN C++
# include <cppad/cppad.hpp>
namespace { // -------------------------------------------------------
// define the template function RevOneCases<Vector> in empty namespace
template <class Vector>
bool RevOneCases()
{ bool ok = true;
using CppAD::AD;
using CppAD::NearEqual;
double eps99 = 99.0 * std::numeric_limits<double>::epsilon();
using CppAD::exp;
using CppAD::sin;
using CppAD::cos;
// domain space vector
size_t n = 2;
CPPAD_TESTVECTOR(AD<double>) X(n);
X[0] = 1.;
X[1] = 2.;
// declare independent variables and starting recording
CppAD::Independent(X);
// range space vector
size_t m = 3;
CPPAD_TESTVECTOR(AD<double>) Y(m);
Y[0] = X[0] * exp( X[1] );
Y[1] = X[0] * sin( X[1] );
Y[2] = X[0] * cos( X[1] );
// create f: X -> Y and stop tape recording
CppAD::ADFun<double> f(X, Y);
// new value for the independent variable vector
Vector x(n);
x[0] = 2.;
x[1] = 1.;
// compute and check derivative of y[0]
Vector dw(n);
dw = f.RevOne(x, 0);
ok &= NearEqual(dw[0], exp(x[1]), eps99, eps99); // w.r.t x[0]
ok &= NearEqual(dw[1], x[0]*exp(x[1]), eps99, eps99); // w.r.t x[1]
// compute and check derivative of y[1]
dw = f.RevOne(x, 1);
ok &= NearEqual(dw[0], sin(x[1]), eps99, eps99);
ok &= NearEqual(dw[1], x[0]*cos(x[1]), eps99, eps99);
// compute and check derivative of y[2]
dw = f.RevOne(x, 2);
ok &= NearEqual(dw[0], cos(x[1]), eps99, eps99);
ok &= NearEqual(dw[1], - x[0]*sin(x[1]), eps99, eps99);
return ok;
}
} // End empty namespace
# include <vector>
# include <valarray>
bool RevOne(void)
{ bool ok = true;
// Run with Vector equal to three different cases
// all of which are Simple Vectors with elements of type double.
ok &= RevOneCases< CppAD::vector <double> >();
ok &= RevOneCases< std::vector <double> >();
ok &= RevOneCases< std::valarray <double> >();
return ok;
}
// END C++
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