/* $Id: exp_2_for2.cpp 1369 2009-05-31 01:31:48Z bradbell $ */
/* --------------------------------------------------------------------------
CppAD: C++ Algorithmic Differentiation: Copyright (C) 2003-07 Bradley M. Bell

CppAD is distributed under multiple licenses. This distribution is under
the terms of the 
                    Common 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_2_for2.cpp$$
$spell
	std
	exp_2_for
	cmath
	fabs
	bool
$$

$section exp_2: Verify Second Order Forward Sweep$$

$index second, order exp_2$$
$index order, second exp_2$$
$index exp_2, second order$$

$codep */
# include <cmath>                   // prototype for fabs
extern bool exp_2_for0(double *v0); // computes zero order forward sweep
extern bool exp_2_for1(double *v1); // computes first order forward sweep
bool exp_2_for2(void)
{	bool ok = true;
	double v0[6], v1[6], v2[6];

	// set the value of v0[j], v1[j], for j = 1 , ... , 5
	ok &= exp_2_for0(v0);
	ok &= exp_2_for1(v1);

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

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

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

	v2[4] = v2[3] / 2.;                             // v4 = v3 / 2
	ok    &= std::fabs( v2[4] - 1. ) <= 1e-10;

	v2[5] = v2[2] + v2[4];                          // v5 = v2 + v4
	ok    &= std::fabs( v2[5] - 1. ) <= 1e-10;

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