/* D01PA_T1W_F C++ Header Example Program.
*
* Copyright 2024 Numerical Algorithms Group.
* Mark 30.1, 2024.
*/
#include <dco.hpp>
#include <iostream>
#include <math.h>
#include <nag.h>
#include <nagad.h>
#include <stdio.h>
using namespace std;
int main()
{
// Scalars
int exit_status = 0;
Integer mxord = 5, ndim = 3, sdvert = 8, ldvert = 4;
cout << "D01PA_T1W_F C++ Header Example Program Results\n\n";
// Allocate memory
nagad_t1w_w_rtype *finvls = 0, *vert = 0, *vert_in = 0;
finvls = new nagad_t1w_w_rtype[mxord];
vert = new nagad_t1w_w_rtype[ldvert * sdvert];
vert_in = new nagad_t1w_w_rtype[ldvert * ndim];
for (int i = 0; i < ndim * ldvert; i++)
{
vert_in[i] = 0.0;
}
for (int i = 1; i < ndim * ldvert; i = i + ldvert + 1)
{
vert_in[i] = 1.0;
}
// Create AD configuration data object
Integer ifail = 0;
nag::ad::handle_t ad_handle;
for (int i = 0; i < ndim * ldvert; i++)
{
vert[i] = vert_in[i];
}
cout << "\n Maxord Estimated Estimated Integrand\n";
cout << " value accuracy evaluations\n";
cout.setf(ios::scientific, ios::floatfield);
cout.precision(4);
Integer minord = 0, nevals = 1;
auto functn = [&](nag::ad::handle_t & ad_handle,
const Integer & ndim,
const nagad_t1w_w_rtype *x,
nagad_t1w_w_rtype & ret)
{
nagad_t1w_w_rtype tmp1;
// dco/c++ used here to perform AD of the following
tmp1 = x[0] + x[1] + x[2];
ret = exp(tmp1) * cos(tmp1);
};
for (Integer maxord = 1; maxord <= mxord; maxord++)
{
// Call the AD routine
nagad_t1w_w_rtype esterr;
ifail = 0;
nag::ad::d01pa(ad_handle, ndim, vert, ldvert, sdvert, functn, minord, maxord,
finvls, esterr, ifail);
double finv_r = dco::value(finvls[maxord - 1]);
double estr_r = dco::value(esterr);
cout.width(5);
cout << maxord;
cout.width(15);
cout << finv_r;
cout.width(15);
cout << estr_r;
cout.width(12);
cout << nevals << endl;
nevals = (nevals * (maxord + ndim + 1)) / maxord;
}
cout << "\n Derivatives calculated: First order tangents\n";
cout << " Computational mode : algorithmic\n";
nagad_t1w_w_rtype sol = finvls[mxord - 1];
cout.setf(ios::right);
cout.precision(4);
cout << "\n Solution, I = ";
double ans_value = dco::value(finvls[mxord - 1]);
cout.width(12);
cout << ans_value << endl;
cout << "\n Derivatives w.r.t vertices:\n";
cout << " i j d/dv(i,j)\n";
cout.setf(ios::scientific, ios::floatfield);
int k = -1;
for (int i = 1; i <= ndim + 1; i++)
{
for (int j = 1; j <= ndim; j++)
{
k = k + 1;
double inc = 1.0;
dco::derivative(vert[k]) = inc;
ifail = 0;
minord = 0;
// Call the AD routine
nagad_t1w_w_rtype esterr, ruser[1];
Integer iuser[1];
ifail = 0;
nag::ad::d01pa(ad_handle, ndim, vert, ldvert, sdvert, functn, minord, mxord,
finvls, esterr, ifail);
double dfdv = dco::derivative(finvls[mxord - 1]);
double zero = 0.0;
dco::derivative(vert[k]) = zero;
cout.width(4);
cout << i;
cout.width(4);
cout << j;
cout.width(14);
cout << dfdv << endl;
}
}
ifail = 0;
delete[] finvls;
delete[] vert;
delete[] vert_in;
return exit_status;
}