/* nag_rand_field_2d_generate (g05zsc) Example Program.
*
* Copyright 2014 Numerical Algorithms Group.
*
* Mark 24, 2013.
*/
#include <math.h>
#include <nag.h>
#include <nag_stdlib.h>
#include <nagg05.h>
#include <nagx04.h>
#define NPMAX 5
#define LENST 17
#define LSEED 1
static void read_input_data(Nag_Variogram *cov, Integer *np, double *params,
Nag_NormType *norm, double *var, double *xmin,
double *xmax, double *ymin, double *ymax,
Integer *ns, Integer *maxm, Nag_EmbedScale *corr,
Nag_EmbedPad *pad, Integer *s);
static void display_embedding_results(Integer approx, Integer *m, double rho,
double *eig, Integer icount);
static void initialize_state(Integer *state);
static void display_realizations(Integer *ns, Integer s, double *xx,
double *yy,
double *z,
Integer *exit_status);
int main(void)
{
/* Scalars */
Integer exit_status = 0;
double rho, var, xmax, xmin, ymax, ymin;
Integer approx, icount, np, s;
/* Arrays */
double eig[3], params[NPMAX];
double *lam = 0, *xx = 0, *yy = 0, *z = 0;
Integer m[2], maxm[2], ns[2], state[LENST];
/* Nag types */
Nag_NormType norm;
Nag_Variogram cov;
Nag_EmbedPad pad;
Nag_EmbedScale corr;
NagError fail;
INIT_FAIL(fail);
printf("nag_rand_field_2d_generate (g05zsc) Example Program Results\n\n");
/* Get problem specifications from data file*/
read_input_data(&cov, &np, params, &norm, &var, &xmin, &xmax, &ymin, &ymax,
ns, maxm, &corr, &pad, &s);
if (!(lam = NAG_ALLOC(maxm[0]*maxm[1], double)) ||
!(xx = NAG_ALLOC(ns[0], double)) ||
!(yy = NAG_ALLOC(ns[1], double)))
{
printf("Allocation failure\n");
exit_status = -1;
goto END;
}
/* Get square roots of the eigenvalues of the embedding matrix.
* nag_rand_field_2d_predef_setup (g05zrc).
* Setup for simulating two-dimensional random fields, preset variogram,
* circulant embedding method
*/
nag_rand_field_2d_predef_setup(ns, xmin, xmax, ymin, ymax, maxm, var, cov,
norm, np, params, pad, corr, lam, xx, yy, m,
&approx, &rho, &icount, eig, &fail);
if (fail.code != NE_NOERROR)
{
printf("Error from nag_rand_field_2d_predef_setup (g05zrc).\n%s\n",
fail.message);
exit_status = 1;
goto END;
}
display_embedding_results(approx, m, rho, eig, icount);
/* Initialize state array*/
initialize_state(state);
if (!(z = NAG_ALLOC(ns[0]*ns[1]*s, double)))
{
printf("Allocation failure\n");
exit_status = -2;
goto END;
}
/* Compute s random field realisations.
* nag_rand_field_2d_generate (g05zsc).
* Generates s realisations of a rwo-dimensional random field by the
* circulant embedding method.
*/
nag_rand_field_2d_generate(ns, s, m, lam, rho, state, z, &fail);
if (fail.code != NE_NOERROR)
{
printf("Error from nag_rand_field_2d_generate (g05zsc).\n%s\n",
fail.message);
exit_status = 2;
goto END;
}
display_realizations(ns, s, xx, yy, z, &exit_status);
END:
NAG_FREE(lam);
NAG_FREE(xx);
NAG_FREE(yy);
NAG_FREE(z);
return exit_status;
}
void read_input_data(Nag_Variogram *cov, Integer *np, double *params,
Nag_NormType *norm, double *var, double *xmin,
double *xmax, double *ymin, double *ymax, Integer *ns,
Integer *maxm, Nag_EmbedScale *corr,
Nag_EmbedPad *pad, Integer *s)
{
Integer j;
char nag_enum_arg[40];
/* Read in covariance function name and convert to value using
* nag_enum_name_to_value (x04nac).
*/
scanf("%*[^\n] %39s%*[^\n]", nag_enum_arg);
*cov = (Nag_Variogram) nag_enum_name_to_value(nag_enum_arg);
/* Read in parameters */
scanf("%ld%*[^\n]", np);
for (j = 0; j < *np; j++)
scanf("%lf", ¶ms[j]);
scanf("%*[^\n]");
/* Read in norm type by name and convert to value */
scanf(" %39s%*[^\n]", nag_enum_arg);
*norm = (Nag_NormType) nag_enum_name_to_value(nag_enum_arg);
/* Read in variance of random field. */
scanf("%lf%*[^\n]", var);
/* Read in domain endpoints*/
scanf("%lf %lf%*[^\n]", xmin, xmax);
scanf("%lf %lf%*[^\n]", ymin, ymax);
/* Read in number of sample points in each direction*/
scanf("%ld %ld%*[^\n]", &ns[0], &ns[1]);
/* Read in maximum size of embedding matrix*/
scanf("%ld %ld%*[^\n]", &maxm[0], &maxm[1]);
/* Read name of scaling in case of approximation and convert to value. */
scanf(" %39s%*[^\n]", nag_enum_arg);
*corr = (Nag_EmbedScale) nag_enum_name_to_value(nag_enum_arg);
/* Read in choice of padding and convert name to value. */
scanf(" %39s%*[^\n]", nag_enum_arg);
*pad = (Nag_EmbedPad) nag_enum_name_to_value(nag_enum_arg);
/* Read in number of realization samples to be generated*/
scanf("%ld%*[^\n]", s);
}
void display_embedding_results(Integer approx, Integer *m, double rho,
double *eig, Integer icount)
{
Integer j;
/* Display size of embedding matrix*/
printf("\nSize of embedding matrix = %ld\n\n", m[0]*m[1]);
/* Display approximation information if approximation used*/
if (approx == 1)
{
printf("Approximation required\n\n");
printf("rho = %10.5f\n", rho);
printf("eig = ");
for (j = 0; j < 3; j++)
printf("%10.5f ", eig[j]);
printf("\nicount = %ld\n", icount);
}
else
{
printf("Approximation not required\n");
}
}
void initialize_state(Integer *state)
{
/* Scalars */
Integer inseed = 14965, lseed = LSEED, subid = 1;
Integer lstate;
/* Arrays */
Integer seed[LSEED];
/* Nag types */
NagError fail;
INIT_FAIL(fail);
lstate = LENST;
seed[0] = inseed;
/* nag_rand_init_repeatable (g05kfc).
* Initializes a pseudorandom number generator to give a repeatable sequence.
*/
nag_rand_init_repeatable(Nag_Basic, subid, seed, lseed, state, &lstate,
&fail);
}
void display_realizations(Integer *ns, Integer s, double *xx, double *yy,
double *z, Integer *exit_status)
{
/* Scalars */
Integer indent = 0, ncols = 80;
Integer i, j, nn;
/* Arrays */
char **rlabs = 0;
/* Nag types */
NagError fail;
INIT_FAIL(fail);
nn = ns[0]*ns[1];
if (!(rlabs = NAG_ALLOC(nn, char *)))
{
printf("Allocation failure\n");
*exit_status = -3;
goto END;
}
/* Set row labels to mesh points (column label is realization number).*/
for (j = 0; j < ns[1]; j++)
{
for (i = 0; i < ns[0]; i++)
{
if (!(rlabs[j*ns[0]+i] = NAG_ALLOC(13, char)))
{
printf("Allocation failure\n");
*exit_status = -4;
goto END;
}
if (i == 0)
{
sprintf(rlabs[j*ns[0]+i], "%6.1f%6.1f", xx[i], yy[j]);
}
else
{
sprintf(rlabs[j*ns[0]+i], "%6.1f%6s", xx[i], ".");
}
}
}
printf("\n");
fflush(stdout);
/* Display random field results, z, using the comprehensive real general
* matrix print routine nag_gen_real_mat_print_comp (x04cbc).
*/
nag_gen_real_mat_print_comp(Nag_ColMajor, Nag_GeneralMatrix, Nag_NonUnitDiag,
nn, s, z, nn, "%10.5f", "Random field "
"realisations (x,y coordinates first):",
Nag_CharacterLabels, (const char **) rlabs,
Nag_IntegerLabels, NULL, ncols, indent, 0, &fail);
END:
for (i = 0; i < nn; i++)
{
NAG_FREE(rlabs[i]);
}
NAG_FREE(rlabs);
}