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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 Sub examples now used just for valiadation testing
*/
# include <cppad/cppad.hpp>
namespace { // BEGIN empty namespace
bool One(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(3);
size_t x = 0;
size_t y = 1;
size_t z = 2;
// dependent variable values
Z[x] = U[s] - U[t]; // AD<double> - AD<double>
Z[y] = Z[x] - 1.; // AD<double> - double
Z[z] = 1. - Z[y]; // double - AD<double>
// 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 function values
ok &= ( Z[x] == 3. - 2. );
ok &= ( Z[y] == 3. - 2. - 1. );
ok &= ( Z[z] == 1. - 3. + 2. + 1. );
// forward computation of partials w.r.t. s
v[s] = 1.;
v[t] = 0.;
w = f.Forward(1, v);
ok &= ( w[x] == 1. ); // dx/ds
ok &= ( w[y] == 1. ); // dy/ds
ok &= ( w[z] == -1. ); // dz/ds
// reverse computation of second partials of z
CPPAD_TESTVECTOR(double) r( f.Domain() * 2 );
w[x] = 0.;
w[y] = 0.;
w[z] = 1.;
r = f.Reverse(2, w);
ok &= ( r[2 * s + 1] == 0. ); // d^2 z / (ds ds)
ok &= ( r[2 * t + 1] == 0. ); // d^2 z / (ds dt)
return ok;
}
bool Two(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 = 2. * 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+1+2, eps99 , eps99);
// forward computation of partials w.r.t. u
size_t j;
size_t p = 5;
double jfac = 1.;
double value = -1.;
v[0] = 1.;
for(j = 1; j < p; j++)
{ jfac *= double(j);
w = f.Forward(j, v);
ok &= NearEqual(w[0], value/jfac, eps99, eps99); // d^jz/du^j
v[0] = 0.;
value = 0.;
}
// reverse computation of partials of Taylor coefficients
CPPAD_TESTVECTOR(double) r(p);
w[0] = 1.;
r = f.Reverse(p, w);
jfac = 1.;
value = -1.;
for(j = 0; j < p; j++)
{ ok &= NearEqual(r[j], value/jfac, eps99, eps99); // d^jz/du^j
jfac *= double(j + 1);
value = 0.;
}
return ok;
}
bool Three(void)
{ bool ok = true;
using namespace CppAD;
// special cases where tests above check OK and SubpvOp
// implementation is known to be wrong.
// Probably two minuses make a plus.
size_t n = 1;
CPPAD_TESTVECTOR(AD<double>) X(n);
X[0] = 1.;
Independent(X);
size_t m = 1;
CPPAD_TESTVECTOR(AD<double>) Y(m);
Y[0] = 1. - X[0];
ADFun<double> f(X, Y);
CPPAD_TESTVECTOR(double) w(m), dw(n);
w[0] = 1.;
dw = f.Reverse(1, w);
ok &= (dw[0] == -1.);
return ok;
}
bool Four(void)
{ bool ok = true;
using namespace CppAD;
// special cases where parameter number is equal to
// variable index in result.
size_t n = 1;
CPPAD_TESTVECTOR(AD<double>) X(n);
X[0] = 1.;
Independent(X);
size_t m = 1;
CPPAD_TESTVECTOR(AD<double>) Y(m);
if( 0. < X[0] && X[0] < 10. )
Y[0] = X[0] - 2.;
else
Y[0] = X[0] - 2.;
ADFun<double> f(X, Y);
CPPAD_TESTVECTOR(double) y(m), x(n);
x[0] = 1.;
y = f.Forward(0, x);
ok &= (y[0] == -1.);
CPPAD_TESTVECTOR(double) dy(m), dx(n);
dx[0] = 1.;
dy = f.Forward(1, dx);
ok &= (dy[0] == 1.);
return ok;
}
} // END empty namespace
bool Sub(void)
{ bool ok = true;
ok &= One();
ok &= Two();
ok &= Three();
ok &= Four();
return ok;
}
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