// $Id: exp_2_for1.cpp 3757 2015-11-30 12:03:07Z bradbell $
/* --------------------------------------------------------------------------
CppAD: C++ Algorithmic Differentiation: Copyright (C) 2003-15 Bradley M. Bell

CppAD is distributed under multiple licenses. This distribution is under
the terms of the
                    GNU General Public License Version 3.

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_for1.cpp$$
$spell
	std
	exp_2_for
	cmath
	fabs
	bool
$$

$section exp_2: Verify First Order Forward Sweep$$
$mindex exp_2$$


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

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

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

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

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

	v1[4] = v1[3] / 2.;                             // v4 = v3 / 2
	ok    &= std::fabs( v1[4] - 0.5) <= 1e-10;

	v1[5] = v1[2] + v1[4];                          // v5 = v2 + v4
	ok    &= std::fabs( v1[5] - 1.5) <= 1e-10;

	return ok;
}
bool exp_2_for1(void)
{	double v1[6];
	return exp_2_for1(v1);
}
/* $$
$end
*/
