/* nag_lapacklin_zpbequ (f07htc) Example Program.
*
* Copyright 2020 Numerical Algorithms Group.
*
* Mark 27.1, 2020.
*/
#include <nag.h>
#include <stdio.h>
int main(void) {
/* Scalars */
double amax, big, scond, small;
Integer pd1, pd2, exit_status = 0, i, j, kd, n, pdab;
/* Arrays */
Complex *ab = 0;
double *s = 0;
char nag_enum_arg[40];
/* Nag Types */
NagError fail;
Nag_UploType uplo;
Nag_OrderType order;
#ifdef NAG_COLUMN_MAJOR
#define AB_UPPER(I, J) ab[(J - 1) * pdab + kd + I - J]
#define AB_LOWER(I, J) ab[(J - 1) * pdab + I - J]
order = Nag_ColMajor;
#else
#define AB_UPPER(I, J) ab[(I - 1) * pdab + J - I]
#define AB_LOWER(I, J) ab[(I - 1) * pdab + kd + J - I]
order = Nag_RowMajor;
#endif
INIT_FAIL(fail);
printf("nag_lapacklin_zpbequ (f07htc) Example Program Results\n\n");
/* Skip heading in data file */
scanf("%*[^\n]");
scanf("%" NAG_IFMT "%" NAG_IFMT "%*[^\n]", &n, &kd);
if (n < 0 || kd < 0) {
printf("%s\n", "Invalid n or kd");
exit_status = 1;
goto END;
}
scanf(" %39s%*[^\n]", nag_enum_arg);
/* nag_enum_name_to_value (x04nac).
* Converts NAG enum member name to value
*/
uplo = (Nag_UploType)nag_enum_name_to_value(nag_enum_arg);
/* Allocate memory */
pdab = kd + 1;
if (!(ab = NAG_ALLOC((kd + 1) * n, Complex)) || !(s = NAG_ALLOC(n, double))) {
printf("Allocation failure\n");
exit_status = -1;
goto END;
}
/* Read the upper or lower triangular part of the band matrix A */
/* from data file */
if (uplo == Nag_Upper) {
pd1 = 0;
pd2 = kd;
for (i = 1; i <= n; ++i)
for (j = i; j <= MIN(n, i + kd); ++j)
scanf(" ( %lf , %lf )", &AB_UPPER(i, j).re, &AB_UPPER(i, j).im);
} else {
pd1 = kd;
pd2 = 0;
for (i = 1; i <= n; ++i)
for (j = MAX(1, i - kd); j <= i; ++j)
scanf(" ( %lf , %lf )", &AB_LOWER(i, j).re, &AB_LOWER(i, j).im);
}
scanf("%*[^\n]");
/* Print the matrix A using nag_file_print_matrix_complex_band_comp (x04dfc).
*/
fflush(stdout);
nag_file_print_matrix_complex_band_comp(
order, n, n, pd1, pd2, ab, pdab, Nag_BracketForm, "%11.2e", "Matrix A",
Nag_IntegerLabels, 0, Nag_IntegerLabels, 0, 80, 0, 0, &fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_file_print_matrix_complex_band_comp (x04dfc).\n%s\n",
fail.message);
exit_status = 1;
goto END;
}
printf("\n");
/* Compute diagonal scaling factors using nag_lapacklin_zpbequ (f07htc). */
nag_lapacklin_zpbequ(order, uplo, n, kd, ab, pdab, s, &scond, &amax, &fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_lapacklin_zpbequ (f07htc).\n%s\n", fail.message);
exit_status = 1;
goto END;
}
printf("scond = %10.1e, amax = %10.1e\n", scond, amax);
printf("\nDiagonal scaling factors\n");
for (i = 0; i < n; ++i)
printf("%11.1e%s", s[i], i % 7 == 6 ? "\n" : " ");
printf("\n\n");
/* Compute values close to underflow and overflow using
* nag_machine_real_safe (x02amc), nag_machine_precision (x02ajc) and
* nag_machine_model_base (x02bhc)
*/
small =
nag_machine_real_safe / (nag_machine_precision * nag_machine_model_base);
big = 1.0 / small;
if (scond < 0.1 || amax < small || amax > big) {
/* Scale A */
if (uplo == Nag_Upper)
for (j = 1; j <= n; ++j)
for (i = MAX(1, j - kd); i <= j; ++i) {
AB_UPPER(i, j).re *= s[i - 1] * s[j - 1];
AB_UPPER(i, j).im *= s[i - 1] * s[j - 1];
}
else
for (j = 1; j <= n; ++j)
for (i = j; i <= MIN(n, j + kd); ++i) {
AB_LOWER(i, j).re *= s[i - 1] * s[j - 1];
AB_LOWER(i, j).im *= s[i - 1] * s[j - 1];
}
/* Print the scaled matrix using
* nag_file_print_matrix_complex_band_comp (x04dfc).
*/
fflush(stdout);
nag_file_print_matrix_complex_band_comp(
order, n, n, pd1, pd2, ab, pdab, Nag_BracketForm, "%7.4f",
"Scaled matrix", Nag_IntegerLabels, 0, Nag_IntegerLabels, 0, 80, 0, 0,
&fail);
if (fail.code != NE_NOERROR) {
printf(
"Error from nag_file_print_matrix_complex_band_comp (x04dfc).\n%s\n",
fail.message);
exit_status = 1;
goto END;
}
}
END:
NAG_FREE(ab);
NAG_FREE(s);
return exit_status;
}
#undef AB_UPPER
#undef AB_LOWER