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optimize_print_for.cpp |
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@(@\newcommand{\W}[1]{ \; #1 \; }
\newcommand{\R}[1]{ {\rm #1} }
\newcommand{\B}[1]{ {\bf #1} }
\newcommand{\D}[2]{ \frac{\partial #1}{\partial #2} }
\newcommand{\DD}[3]{ \frac{\partial^2 #1}{\partial #2 \partial #3} }
\newcommand{\Dpow}[2]{ \frac{\partial^{#1}}{\partial {#2}^{#1}} }
\newcommand{\dpow}[2]{ \frac{ {\rm d}^{#1}}{{\rm d}\, {#2}^{#1}} }@)@This is cppad-20221105 documentation. Here is a link to its
current documentation
.
Optimize Print Forward Operators: Example and Test
# include <cppad/cppad.hpp>
namespace {
struct tape_size { size_t n_var; size_t n_op; };
void PrintFor(
double pos, const char* before, double var, const char* after
)
{ if( pos <= 0.0 )
std::cout << before << var << after;
return;
}
template <class Vector> void fun(
const std::string& options ,
const Vector& x, Vector& y, tape_size& before, tape_size& after
)
{ typedef typename Vector::value_type scalar;
// phantom variable with index 0 and independent variables
// begin operator, independent variable operators and end operator
before.n_var = 1 + x.size(); before.n_op = 2 + x.size();
after.n_var = 1 + x.size(); after.n_op = 2 + x.size();
// Argument to PrintFor is only needed
// if we are keeping print forward operators
scalar minus_one = x[0] - 1.0;
before.n_var += 1; before.n_op += 1;
if( options.find("no_print_for_op") == std::string::npos )
{ after.n_var += 1; after.n_op += 1;
}
// print argument to log function minus one, if it is <= 0
PrintFor(minus_one, "minus_one == ", minus_one , " is <= 0\n");
before.n_var += 0; before.n_op += 1;
if( options.find("no_print_for_op") == std::string::npos )
{ after.n_var += 0; after.n_op += 1;
}
// now compute log
y[0] = log( x[0] );
before.n_var += 1; before.n_op += 1;
after.n_var += 1; after.n_op += 1;
}
}
bool print_for(void)
{ bool ok = true;
using CppAD::AD;
using CppAD::NearEqual;
double eps10 = 10.0 * std::numeric_limits<double>::epsilon();
// domain space vector
size_t n = 1;
CPPAD_TESTVECTOR(AD<double>) ax(n);
ax[0] = 1.5;
// range space vector
size_t m = 1;
CPPAD_TESTVECTOR(AD<double>) ay(m);
for(size_t k = 0; k < 2; k++)
{ // optimization options
std::string options = "";
if( k == 0 )
options = "no_print_for_op";
// declare independent variables and start tape recording
CppAD::Independent(ax);
// compute function value
tape_size before, after;
fun(options, ax, ay, before, after);
// create f: x -> y and stop tape recording
CppAD::ADFun<double> f(ax, ay);
ok &= f.size_order() == 1; // this constructor does 0 order forward
ok &= f.size_var() == before.n_var;
ok &= f.size_op() == before.n_op;
// Optimize the operation sequence
f.optimize(options);
ok &= f.size_order() == 0; // 0 order forward not present
ok &= f.size_var() == after.n_var;
ok &= f.size_op() == after.n_op;
// Check result for a zero order calculation for a different x
CPPAD_TESTVECTOR(double) x(n), y(m), check(m);
x[0] = 2.75;
y = f.Forward(0, x);
fun(options, x, check, before, after);
ok &= NearEqual(y[0], check[0], eps10, eps10);
}
return ok;
}
Input File: example/optimize/print_for.cpp