/* $Id: exp_eps_for2.cpp 2506 2012-10-24 19:36:49Z bradbell $ */
/* --------------------------------------------------------------------------
CppAD: C++ Algorithmic Differentiation: Copyright (C) 2003-09 Bradley M. Bell

CppAD is distributed under multiple licenses. This distribution is under
the terms of the 
                    Eclipse Public License Version 1.0.

A copy of this license is included in the COPYING file of this distribution.
Please visit http://www.coin-or.org/CppAD/ for information on other licenses.
-------------------------------------------------------------------------- */
/*
$begin exp_eps_for2.cpp$$
$spell
	std
	vars
	exp_eps_for
	cmath
	fabs
	bool
$$

$section exp_eps: Verify Second Order Forward Sweep$$

$index first, order exp_2$$
$index order, first exp_2$$
$index exp_2, first order$$

$codep */
# include <cmath>                     // for fabs function
extern bool exp_eps_for0(double *v0); // computes zero order forward sweep
extern bool exp_eps_for1(double *v1); // computes first order forward sweep
bool exp_eps_for2(void)
{	bool ok = true;
	double v0[8], v1[8], v2[8];

	// set the value of v0[j], v1[j] for j = 1 , ... , 7
	ok &= exp_eps_for0(v0);
	ok &= exp_eps_for1(v1);

	v2[1] = 0.;                                      // v1 = x
	ok    &= std::fabs( v2[1] - 0. ) <= 1e-10;

	v2[2] = 1. * v2[1];                              // v2 = 1 * v1
	ok    &= std::fabs( v2[2] - 0. ) <= 1e-10;

	v2[3] = v2[2] / 1.;                              // v3 = v2 / 1
	ok    &= std::fabs( v2[3] - 0. ) <= 1e-10;

	v2[4] = v2[3];                                   // v4 = 1 + v3
	ok    &= std::fabs( v2[4] - 0. ) <= 1e-10;

	v2[5] = v2[3] * v0[1] + 2. * v1[3] * v1[1]       // v5 = v3 * v1
	      + v0[3] * v2[1];           
	ok    &= std::fabs( v2[5] - 2. ) <= 1e-10;

	v2[6] = v2[5] / 2.;                              // v6 = v5 / 2
	ok    &= std::fabs( v2[6] - 1. ) <= 1e-10;

	v2[7] = v2[4] + v2[6];                           // v7 = v4 + v6
	ok    &= std::fabs( v2[7] - 1. ) <= 1e-10;

	return ok;
}
/* $$
$end
*/
