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// SPDX-License-Identifier: EPL-2.0 OR GPL-2.0-or-later
// SPDX-FileCopyrightText: Bradley M. Bell <bradbell@seanet.com>
// SPDX-FileContributor: 2003-22 Bradley M. Bell
// ----------------------------------------------------------------------------
/*
Two old MulEq examples now used just for valiadation testing
*/
# include <cppad/cppad.hpp>
namespace { // BEGIN empty namespace
bool MulEqTestOne(void)
{ bool ok = true;
using namespace CppAD;
// independent variable vector, indices, values, and declaration
CPPAD_TESTVECTOR(AD<double>) U(2);
size_t s = 0;
size_t t = 1;
U[s] = 3.;
U[t] = 2.;
Independent(U);
// dependent variable vector and indices
CPPAD_TESTVECTOR(AD<double>) Z(2);
size_t x = 0;
size_t y = 1;
// some initial values
AD<double> zero = 0.;
AD<double> one = 1.;
// dependent variable values
Z[x] = U[s];
Z[y] = U[t];
Z[x] *= U[t]; // AD<double> *= AD<double>
Z[y] *= 5.; // AD<double> *= double
zero *= Z[x];
one *= Z[x];
// check that zero is a parameter
ok &= Parameter(zero);
// create f: U -> Z and vectors used for derivative calculations
ADFun<double> f(U, Z);
CPPAD_TESTVECTOR(double) v( f.Domain() );
CPPAD_TESTVECTOR(double) w( f.Range() );
// check values
ok &= ( Z[x] == 3. * 2. );
ok &= ( Z[y] == 2. * 5. );
ok &= ( zero == 0. );
ok &= ( one == Z[x] );
// forward computation of partials w.r.t. t
v[s] = 0.;
v[t] = 1.;
w = f.Forward(1, v);
ok &= ( w[x] == U[s] ); // dx/dt
ok &= ( w[y] == 5. ); // dy/dt
// reverse computation of second partials of x
CPPAD_TESTVECTOR(double) r( f.Domain() * 2 );
w[x] = 1.;
w[y] = 0.;
r = f.Reverse(2, w);
ok &= ( r[2 * s + 1] == 1. );
ok &= ( r[2 * t + 1] == 0. );
return ok;
}
bool MulEqTestTwo(void)
{ bool ok = true;
using namespace CppAD;
double eps99 = 99.0 * std::numeric_limits<double>::epsilon();
// independent variable vector
double u0 = .5;
CPPAD_TESTVECTOR(AD<double>) U(1);
U[0] = u0;
Independent(U);
// dependent variable vector
CPPAD_TESTVECTOR(AD<double>) Z(1);
Z[0] = U[0]; // initial value
Z[0] *= 2; // AD<double> *= int
Z[0] *= 4.; // AD<double> *= double
Z[0] *= U[0]; // AD<double> *= AD<double>
// create f: U -> Z and vectors used for derivative calculations
ADFun<double> f(U, Z);
CPPAD_TESTVECTOR(double) v(1);
CPPAD_TESTVECTOR(double) w(1);
// check value
ok &= NearEqual(Z[0] , u0*2*4*u0, eps99 , eps99);
// forward computation of partials w.r.t. u
size_t j;
size_t p = 5;
double jfac = 1.;
v[0] = 1.;
for(j = 1; j < p; j++)
{ double value;
if( j == 1 )
value = 16. * u0;
else if( j == 2 )
value = 16.;
else
value = 0.;
jfac *= double(j);
w = f.Forward(j, v);
ok &= NearEqual(w[0], value/jfac, eps99, eps99); // d^jz/du^j
v[0] = 0.;
}
// reverse computation of partials of Taylor coefficients
CPPAD_TESTVECTOR(double) r(p);
w[0] = 1.;
r = f.Reverse(p, w);
jfac = 1.;
for(j = 0; j < p; j++)
{ double value;
if( j == 0 )
value = 16. * u0;
else if( j == 1 )
value = 16.;
else
value = 0.;
ok &= NearEqual(r[j], value/jfac, eps99, eps99); // d^jz/du^j
jfac *= double(j + 1);
}
return ok;
}
} // END empty namespace
bool MulEq(void)
{ bool ok = true;
ok &= MulEqTestOne();
ok &= MulEqTestTwo();
return ok;
}
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