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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 Mul examples now used just for valiadation testing
*/
# include <cppad/cppad.hpp>
namespace { // BEGIN empty namespace
bool zero_times_nan(void)
{ bool ok = true;
CPPAD_TESTVECTOR( CppAD::AD<double> ) ax(2), ay(3);
ax[0] = 0.0;
ax[1] = 0.0;
CppAD::Independent(ax);
CppAD::AD<double> adiv = ax[0] / ax[1];
//
// the result for each of these cases should be identically zero
ay[0] = 0.0 * adiv;
ay[1] = adiv * 0.0;
ay[2] = 0.0 / adiv;
//
CppAD::ADFun<double> f(ax, ay);
//
CPPAD_TESTVECTOR(double) x(2), y(3);
x[0] = 1.0;
x[1] = 1.0;
y = f.Forward(0, x);
ok &= y[0] == 0.0;
ok &= y[1] == 0.0;
ok &= y[2] == 0.0;
return ok;
}
bool MulTestOne(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);
// assign some parameters
AD<double> zero = 0.;
AD<double> one = 1.;
// dependent variable vector and indices
CPPAD_TESTVECTOR(AD<double>) Z(5);
size_t x = 0;
size_t y = 1;
size_t z = 2;
size_t u = 3;
size_t v = 4;
// assign the dependent variables
Z[x] = U[s] * U[t]; // AD<double> * AD<double>
Z[y] = Z[x] * 4.; // AD<double> * double
Z[z] = 4. * Z[y]; // double * AD<double>
Z[u] = one * Z[z]; // multiplication by parameter equal to one
Z[v] = zero * Z[z]; // multiplication by parameter equal to zero
// check multipilcation by zero results in a parameter
ok &= Parameter(Z[v]);
// create f: U -> Z and vectors used for derivative calculations
ADFun<double> f(U, Z);
CPPAD_TESTVECTOR(double) q( f.Domain() );
CPPAD_TESTVECTOR(double) r( f.Range() );
// check parameter flag
ok &= f.Parameter(v);
// check values
ok &= ( Z[x] == 3. * 2. );
ok &= ( Z[y] == 3. * 2. * 4. );
ok &= ( Z[z] == 4. * 3. * 2. * 4. );
ok &= ( Z[u] == Z[z] );
ok &= ( Z[v] == 0. );
// forward computation of partials w.r.t. s
q[s] = 1.;
q[t] = 0.;
r = f.Forward(1, q);
ok &= ( r[x] == U[t] ); // dx/ds
ok &= ( r[y] == U[t] * 4. ); // dy/ds
ok &= ( r[z] == 4. * U[t] * 4. ); // dz/ds
ok &= ( r[u] == r[z] ); // du/ds
ok &= ( r[v] == 0. ); // dv/ds
// reverse computation of second partials of z
CPPAD_TESTVECTOR(double) d2( f.Domain() * 2 );
r[x] = 0.;
r[y] = 0.;
r[z] = 1.;
r[u] = 0.;
r[v] = 0.;
d2 = f.Reverse(2, r);
// check second order partials
ok &= ( d2[2 * s + 1] == 0. ); // d^2 z / (ds ds)
ok &= ( d2[2 * t + 1] == 4. * 4. ); // d^2 z / (ds dt)
return ok;
}
bool MulTestTwo(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);
AD<double> a = U[0] * 1.; // AD<double> * double
AD<double> b = a * 2; // AD<double> * int
AD<double> c = 3. * b; // double * AD<double>
AD<double> d = 4 * c; // int * AD<double>
// dependent variable vector
CPPAD_TESTVECTOR(AD<double>) Z(1);
Z[0] = U[0] * d; // 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(Value(Z[0]) , u0*4*3*2*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 = 48. * u0;
else if( j == 2 )
value = 48.;
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 = 48. * u0;
else if( j == 1 )
value = 48.;
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 Mul(void)
{ bool ok = true;
ok &= MulTestOne();
ok &= MulTestTwo();
ok &= zero_times_nan();
return ok;
}
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