/* --------------------------------------------------------------------------
CppAD: C++ Algorithmic Differentiation: Copyright (C) 2003-17 Bradley M. Bell

CppAD is distributed under the terms of the
             Eclipse Public License Version 2.0.

This Source Code may also be made available under the following
Secondary License when the conditions for such availability set forth
in the Eclipse Public License, Version 2.0 are satisfied:
      GNU General Public License, Version 2.0 or later.
---------------------------------------------------------------------------- */

/*
$begin div_eq.cpp$$

$section AD Compound Assignment Division: Example and Test$$



$srcfile%example/general/div_eq.cpp%0%// BEGIN C++%// END C++%1%$$

$end
*/
// BEGIN C++
# include <cppad/cppad.hpp>

bool DivEq(void)
{   bool ok = true;
    using CppAD::AD;
    using CppAD::NearEqual;
    double eps99 = 99.0 * std::numeric_limits<double>::epsilon();

    // domain space vector
    size_t  n = 1;
    double x0 = .5;
    CPPAD_TESTVECTOR(AD<double>) x(n);
    x[0]      = x0;

    // declare independent variables and start tape recording
    CppAD::Independent(x);

    // range space vector
    size_t m = 2;
    CPPAD_TESTVECTOR(AD<double>) y(m);
    y[0] = x[0] * x[0];  // initial value
    y[0] /= 2;           // AD<double> /= int
    y[0] /= 4.;          // AD<double> /= double
    y[1] = y[0] /= x[0]; // use the result of a compound assignment

    // create f: x -> y and stop tape recording
    CppAD::ADFun<double> f(x, y);

    // check value
    ok &= NearEqual(y[0] , x0*x0/(2.*4.*x0), eps99, eps99);
    ok &= NearEqual(y[1] ,             y[0], eps99, eps99);

    // forward computation of partials w.r.t. x[0]
    CPPAD_TESTVECTOR(double) dx(n);
    CPPAD_TESTVECTOR(double) dy(m);
    dx[0] = 1.;
    dy    = f.Forward(1, dx);
    ok   &= NearEqual(dy[0], 1./8., eps99, eps99);
    ok   &= NearEqual(dy[1], 1./8., eps99, eps99);

    // reverse computation of derivative of y[0]
    CPPAD_TESTVECTOR(double)  w(m);
    CPPAD_TESTVECTOR(double) dw(n);
    w[0]  = 1.;
    w[1]  = 0.;
    dw    = f.Reverse(1, w);
    ok   &= NearEqual(dw[0], 1./8., eps99, eps99);

    // use a VecAD<Base>::reference object with computed division
    CppAD::VecAD<double> v(1);
    AD<double> zero(0);
    AD<double> result = 2;
    v[zero] = 1;
    result /= v[zero];
    ok     &= (result == 2);

    return ok;
}

// END C++
