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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
// ----------------------------------------------------------------------------
/*
{xrst_begin atomic_four_dynamic.cpp}
Atomic Functions with Dynamic Parameters: Example and Test
##########################################################
Purpose
*******
This example demonstrates using dynamic parameters with an
:ref:`atomic_four-name` function.
Function
********
For this example, the atomic function
:math:`g : \B{R}^3 \rightarrow \B{R}^3` is defined by
:math:`g_0 (x) = x_0 * x_ 0`,
:math:`g_1 (x) = x_0 * x_ 1`,
:math:`g_2 (x) = x_1 * x_ 2`.
Define Atomic Function
**********************
{xrst_literal
// BEGIN_DEFINE_ATOMIC_FUNCTION
// END_DEFINE_ATOMIC_FUNCTION
}
Use Atomic Function
*******************
{xrst_literal
// BEGIN_USE_ATOMIC_FUNCTION
// END_USE_ATOMIC_FUNCTION
}
{xrst_end atomic_four_dynamic.cpp}
*/
# include <cppad/cppad.hpp>
// BEGIN_DEFINE_ATOMIC_FUNCTION
// empty namespace
namespace {
// atomic_dynamic
class atomic_dynamic : public CppAD::atomic_four<double> {
public:
atomic_dynamic(const std::string& name) :
CppAD::atomic_four<double>(name)
{ }
private:
// for_type
bool for_type(
size_t call_id ,
const CppAD::vector<CppAD::ad_type_enum>& type_x ,
CppAD::vector<CppAD::ad_type_enum>& type_y ) override
{ assert( call_id == 0 ); // default value
assert( type_x.size() == 3 ); // n
assert( type_y.size() == 3 ); // m
//
// type_y
type_y[0] = type_x[0];
type_y[1] = std::max( type_x[0], type_x[1] );
type_y[2] = std::max( type_x[1], type_x[2] );
return true;
}
// forward
bool forward(
size_t call_id ,
const CppAD::vector<bool>& select_y ,
size_t order_low ,
size_t order_up ,
const CppAD::vector<double>& taylor_x ,
CppAD::vector<double>& taylor_y ) override
{
# ifndef NDEBUG
size_t q = order_up + 1;
size_t n = taylor_x.size() / q;
size_t m = taylor_y.size() / q;
assert( n == 3 );
assert( m == 3 );
# endif
// ok
bool ok = order_low == 0 && order_up == 0;
if( ! ok )
return ok;
//
// taylor_y[0] = g_0 = x_0 * x_0
if( select_y[0] )
taylor_y[0] = taylor_x[0] * taylor_x[0];
//
// taylor_y[1] = g_1 = x_0 * x_1
if( select_y[1] )
taylor_y[1] = taylor_x[0] * taylor_x[1];
//
// taylor_y[2] = g_2 = x_1 * x_2
if( select_y[2] )
taylor_y[2] = taylor_x[1] * taylor_x[2];
//
return ok;
}
};
}
// END_DEFINE_ATOMIC_FUNCTION
// BEGIN_USE_ATOMIC_FUNCTION
bool dynamic(void)
{ // ok, eps
bool ok = true;
double eps = 10. * CppAD::numeric_limits<double>::epsilon();
//
// afun
atomic_dynamic afun("atomic_dynamic");
//
// c, p, u
CPPAD_TESTVECTOR(double) c(1), p(1), u(1);
c[0] = 2.0;
p[0] = 3.0;
u[0] = 4.0;
//
//
// np, nu, ny
size_t np = 1;
size_t nu = 1;
size_t nx = 3;
size_t ny = 3;
//
// ap
// independent dynamic parameter vector
CPPAD_TESTVECTOR( CppAD::AD<double> ) ap(np);
ap[0] = p[0];
//
// au
// independent variable vector
CPPAD_TESTVECTOR( CppAD::AD<double> ) au(nu);
au[0] = u[0];
//
// Independent
CppAD::Independent(au, ap);
//
// ay
// y = ( c * c, c * p, p * x )
CPPAD_TESTVECTOR( CppAD::AD<double> ) ax(nx), ay(ny);
ax[0] = c[0]; // x_0
ax[1] = ap[0]; // x_1
ax[2] = au[0]; // x_2
afun(ax, ay);
//
// ay
// check type of result
ok &= Constant( ay[0] );
ok &= Dynamic( ay[1] );
ok &= Variable( ay[2] );
//
// f
// f(u) = (c * c, c * p, p * u)
CppAD::ADFun<double> f;
f.Dependent (au, ay);
//
// ay[0]
double check = c[0] * c[0];
ok &= CppAD::NearEqual( Value(ay[0]) , check, eps, eps);
//
// ay[1]
check = c[0] * p[0];
ok &= CppAD::NearEqual( Value(ay[1]) , check, eps, eps);
//
// ay[2]
check = p[0] * u[0];
ok &= CppAD::NearEqual( Value(ay[2]) , check, eps, eps);
//
// y = f.Forward(0, u)
CPPAD_TESTVECTOR(double) y(ny);
y = f.Forward(0, u);
check = c[0] * c[0];
ok &= CppAD::NearEqual(y[0] , check, eps, eps);
check = c[0] * p[0];
ok &= CppAD::NearEqual(y[1] , check, eps, eps);
check = p[0] * u[0];
ok &= CppAD::NearEqual(y[2] , check, eps, eps);
//
// p
p[0] = 2.0 * p[0];
f.new_dynamic(p);
//
// y = f.Forward(0, u)
y = f.Forward(0, u);
check = c[0] * c[0];
ok &= CppAD::NearEqual(y[0] , check, eps, eps);
check = c[0] * p[0];
ok &= CppAD::NearEqual(y[1] , check, eps, eps);
check = p[0] * u[0];
ok &= CppAD::NearEqual(y[2] , check, eps, eps);
//
return ok;
}
// END_USE_ATOMIC_FUNCTION
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