/* nag_wav_dim2_init (c09abc) Example Program.
*
* Copyright 2024 Numerical Algorithms Group.
*
* Mark 30.3, 2024.
*/
#include <nag.h>
#include <stdio.h>
#include <string.h>
int main(void) {
/* Scalars */
Integer exit_status = 0;
Integer i, j, lenc, m, n, nf, nwcm, nwcn, nwct, nwlmax, pda, pdb;
Integer want_level, want_coeffs;
/* Arrays */
char mode[24], wavnam[20], title[50];
double *a = 0, *b = 0, *c = 0, *d = 0;
Integer *dwtlevm = 0, *dwtlevn = 0;
Integer icomm[180];
/* Nag Types */
Nag_Wavelet wavnamenum;
Nag_WaveletMode modenum;
Nag_MatrixType matrix = Nag_GeneralMatrix;
Nag_OrderType order = Nag_ColMajor;
Nag_DiagType diag = Nag_NonUnitDiag;
NagError fail;
INIT_FAIL(fail);
printf("nag_wav_dim2_init (c09abc) Example Program Results\n\n");
/* Skip heading in data file and read problem parameters */
scanf("%*[^\n] %" NAG_IFMT "%" NAG_IFMT "%*[^\n] ", &m, &n);
pda = m;
pdb = m;
scanf("%19s%23s%*[^\n] ", wavnam, mode);
if (!(a = NAG_ALLOC(pda * n, double)) || !(b = NAG_ALLOC(pdb * n, double))) {
printf("Allocation failure\n");
exit_status = -1;
goto END;
}
printf(" Parameters read from file :: \n");
printf(" MLDWT :: Wavelet : %s\n", wavnam);
printf(" End mode : %s\n", mode);
printf(" m : %" NAG_IFMT "\n", m);
printf(" n : %" NAG_IFMT "\n\n", n);
fflush(stdout);
/* nag_enum_name_to_value (x04nac).
* Converts NAG enum member name to value
*/
wavnamenum = (Nag_Wavelet)nag_enum_name_to_value(wavnam);
modenum = (Nag_WaveletMode)nag_enum_name_to_value(mode);
/* Read data array and write it out */
#define A(I, J) a[(J - 1) * pda + I - 1]
for (i = 1; i <= m; i++)
for (j = 1; j <= n; j++)
scanf("%lf", &A(i, j));
nag_file_print_matrix_real_gen_comp(
order, matrix, diag, m, n, a, pda, "%8.4f",
"Input Data A :", Nag_NoLabels, 0, Nag_NoLabels, 0, 80, 0, 0, &fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_file_print_matrix_real_gen_comp (x04cbc).\n%s\n",
fail.message);
exit_status = 0;
goto END;
}
/* nag_wav_dim2_init (c09abc).
* Two-dimensional wavelet filter initialization
*/
nag_wav_dim2_init(wavnamenum, Nag_MultiLevel, modenum, m, n, &nwlmax, &nf,
&nwct, &nwcn, icomm, &fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_wav_dim2_init (c09abc).\n%s\n", fail.message);
exit_status = 1;
goto END;
}
lenc = nwct;
if (!(c = NAG_ALLOC(lenc, double)) ||
!(dwtlevm = NAG_ALLOC(nwlmax, Integer)) ||
!(dwtlevn = NAG_ALLOC(nwlmax, Integer))) {
printf("Allocation failure\n");
exit_status = 2;
goto END;
}
/* nag_wav_dim2_multi_fwd (c09ecc).
* Two-dimensional multi-level discrete wavelet transform
*/
nag_wav_dim2_multi_fwd(m, n, a, pda, lenc, c, nwlmax, dwtlevm, dwtlevn, icomm,
&fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_wav_dim2_multi_fwd (c09ecc).\n%s\n", fail.message);
exit_status = 3;
goto END;
}
/* Print decomposition */
printf("\n Length of wavelet filter : %12s%" NAG_IFMT " \n", "", nf);
printf("\n Number of Levels : %" NAG_IFMT "\n", nwlmax);
printf(" Number of coefficients in 1st dimension for each level :\n");
for (j = 0; j < nwlmax; j++)
printf("%8" NAG_IFMT "%s", dwtlevm[j], (j + 1) % 8 ? " " : "\n");
printf("\n Number of coefficients in 2nd dimension for each level :\n");
for (j = 0; j < nwlmax; j++)
printf("%8" NAG_IFMT "%s", dwtlevn[j], (j + 1) % 8 ? " " : "\n");
printf("\n Total number of wavelet coefficients : ");
printf("%10" NAG_IFMT " \n\n", nwct);
printf(" Wavelet coefficients c : \n");
for (j = 0; j < nwct; j++)
printf("%8.4f%s", c[j], (j + 1) % 8 ? " " : "\n");
printf("\n");
/* Now select a nominated matrix of coefficients at a nominated level.
* Remember that level 0 is input data, 1 first coeffs and so on up to nwlmax,
* which is the deepest level and contains approx. coefficients.
*/
want_level = nwlmax - 1;
/* Print only vertical detail coeffs at selected level. */
want_coeffs = 1;
nwcm = dwtlevm[nwlmax - want_level];
nwcn = dwtlevn[nwlmax - want_level];
if (!(d = NAG_ALLOC(nwcm * nwcn, double))) {
printf("Allocation failure\n");
exit_status = 4;
goto END;
}
/* nag_wav_dim2_coeff_ext (c09aec).
* Extract the selected set of coefficients.
*/
nag_wav_dim2_coeff_ext(want_level, want_coeffs, lenc, c, d, nwcm, icomm,
&fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_wav_dim2_coeff_ext (c09aec).\n%s\n", fail.message);
exit_status = 5;
goto END;
}
/* Print out the selected coefficients */
printf("\n");
fflush(stdout);
sprintf(title,
"Type %" NAG_IFMT " coefficients at selected wavelet level "
"%" NAG_IFMT " :",
want_coeffs, want_level);
nag_file_print_matrix_real_gen_comp(order, matrix, diag, nwcm, nwcn, d, nwcm,
"%8.4f", title, Nag_NoLabels, 0,
Nag_NoLabels, 0, 80, 0, 0, &fail);
/* nag_wav_dim2_multi_inv (c09edc).
* Two-dimensional inverse multi-level discrete wavelet transform
*/
nag_wav_dim2_multi_inv(nwlmax, lenc, c, m, n, b, pdb, icomm, &fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_wav_dim2_multi_inv (c09edc).\n%s\n", fail.message);
exit_status = 6;
goto END;
}
/* Print reconstruction */
printf("\n");
fflush(stdout);
strcpy(title, "Reconstruction B :");
nag_file_print_matrix_real_gen_comp(order, matrix, diag, m, n, b, pdb,
"%8.4f", title, Nag_NoLabels, 0,
Nag_NoLabels, 0, 80, 0, 0, &fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_file_print_matrix_real_gen_comp (x04cbc).\n%s\n",
fail.message);
exit_status = 7;
goto END;
}
END:
NAG_FREE(a);
NAG_FREE(b);
NAG_FREE(c);
NAG_FREE(d);
NAG_FREE(dwtlevm);
NAG_FREE(dwtlevn);
return exit_status;
}