/* $Id: exp_eps_for1.cpp 2506 2012-10-24 19:36:49Z 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 
                    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_for1.cpp$$
$spell
	std
	vars
	exp_eps_for
	cmath
	fabs
	bool
$$

$section exp_eps: Verify First 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
bool exp_eps_for1(double *v1)         // double v[8]
{	bool ok = true;
	double v0[8];

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

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

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

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

	v1[4] = v1[3];                                   // v4 = 1 + v3
	ok    &= std::fabs( v1[4] - 1. ) <= 1e-10;

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

	v1[6] = v1[5] / 2.;                              // v6 = v5 / 2
	ok    &= std::fabs( v1[6] - 0.5 ) <= 1e-10;

	v1[7] = v1[4] + v1[6];                           // v7 = v4 + v6
	ok    &= std::fabs( v1[7] - 1.5 ) <= 1e-10;

	return ok;
}
bool exp_eps_for1(void)
{	double v1[8];
	return exp_eps_for1(v1);
}
/* $$
$end
*/
