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/* zlantp.f -- translated by f2c (version 20061008).
You must link the resulting object file with libf2c:
on Microsoft Windows system, link with libf2c.lib;
on Linux or Unix systems, link with .../path/to/libf2c.a -lm
or, if you install libf2c.a in a standard place, with -lf2c -lm
-- in that order, at the end of the command line, as in
cc *.o -lf2c -lm
Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,
http://www.netlib.org/f2c/libf2c.zip
*/
#include "f2c.h"
#include "blaswrap.h"
/* Table of constant values */
static integer c__1 = 1;
doublereal zlantp_(char *norm, char *uplo, char *diag, integer *n,
doublecomplex *ap, doublereal *work)
{
/* System generated locals */
integer i__1, i__2;
doublereal ret_val, d__1, d__2;
/* Builtin functions */
double z_abs(doublecomplex *), sqrt(doublereal);
/* Local variables */
integer i__, j, k;
doublereal sum, scale;
logical udiag;
extern logical lsame_(char *, char *);
doublereal value;
extern /* Subroutine */ int zlassq_(integer *, doublecomplex *, integer *,
doublereal *, doublereal *);
/* -- LAPACK auxiliary routine (version 3.2) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* ZLANTP returns the value of the one norm, or the Frobenius norm, or */
/* the infinity norm, or the element of largest absolute value of a */
/* triangular matrix A, supplied in packed form. */
/* Description */
/* =========== */
/* ZLANTP returns the value */
/* ZLANTP = ( max(abs(A(i,j))), NORM = 'M' or 'm' */
/* ( */
/* ( norm1(A), NORM = '1', 'O' or 'o' */
/* ( */
/* ( normI(A), NORM = 'I' or 'i' */
/* ( */
/* ( normF(A), NORM = 'F', 'f', 'E' or 'e' */
/* where norm1 denotes the one norm of a matrix (maximum column sum), */
/* normI denotes the infinity norm of a matrix (maximum row sum) and */
/* normF denotes the Frobenius norm of a matrix (square root of sum of */
/* squares). Note that max(abs(A(i,j))) is not a consistent matrix norm. */
/* Arguments */
/* ========= */
/* NORM (input) CHARACTER*1 */
/* Specifies the value to be returned in ZLANTP as described */
/* above. */
/* UPLO (input) CHARACTER*1 */
/* Specifies whether the matrix A is upper or lower triangular. */
/* = 'U': Upper triangular */
/* = 'L': Lower triangular */
/* DIAG (input) CHARACTER*1 */
/* Specifies whether or not the matrix A is unit triangular. */
/* = 'N': Non-unit triangular */
/* = 'U': Unit triangular */
/* N (input) INTEGER */
/* The order of the matrix A. N >= 0. When N = 0, ZLANTP is */
/* set to zero. */
/* AP (input) COMPLEX*16 array, dimension (N*(N+1)/2) */
/* The upper or lower triangular matrix A, packed columnwise in */
/* a linear array. The j-th column of A is stored in the array */
/* AP as follows: */
/* if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; */
/* if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n. */
/* Note that when DIAG = 'U', the elements of the array AP */
/* corresponding to the diagonal elements of the matrix A are */
/* not referenced, but are assumed to be one. */
/* WORK (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)), */
/* where LWORK >= N when NORM = 'I'; otherwise, WORK is not */
/* referenced. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Parameter adjustments */
--work;
--ap;
/* Function Body */
if (*n == 0) {
value = 0.;
} else if (lsame_(norm, "M")) {
/* Find max(abs(A(i,j))). */
k = 1;
if (lsame_(diag, "U")) {
value = 1.;
if (lsame_(uplo, "U")) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = k + j - 2;
for (i__ = k; i__ <= i__2; ++i__) {
/* Computing MAX */
d__1 = value, d__2 = z_abs(&ap[i__]);
value = max(d__1,d__2);
/* L10: */
}
k += j;
/* L20: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = k + *n - j;
for (i__ = k + 1; i__ <= i__2; ++i__) {
/* Computing MAX */
d__1 = value, d__2 = z_abs(&ap[i__]);
value = max(d__1,d__2);
/* L30: */
}
k = k + *n - j + 1;
/* L40: */
}
}
} else {
value = 0.;
if (lsame_(uplo, "U")) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = k + j - 1;
for (i__ = k; i__ <= i__2; ++i__) {
/* Computing MAX */
d__1 = value, d__2 = z_abs(&ap[i__]);
value = max(d__1,d__2);
/* L50: */
}
k += j;
/* L60: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = k + *n - j;
for (i__ = k; i__ <= i__2; ++i__) {
/* Computing MAX */
d__1 = value, d__2 = z_abs(&ap[i__]);
value = max(d__1,d__2);
/* L70: */
}
k = k + *n - j + 1;
/* L80: */
}
}
}
} else if (lsame_(norm, "O") || *(unsigned char *)
norm == '1') {
/* Find norm1(A). */
value = 0.;
k = 1;
udiag = lsame_(diag, "U");
if (lsame_(uplo, "U")) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (udiag) {
sum = 1.;
i__2 = k + j - 2;
for (i__ = k; i__ <= i__2; ++i__) {
sum += z_abs(&ap[i__]);
/* L90: */
}
} else {
sum = 0.;
i__2 = k + j - 1;
for (i__ = k; i__ <= i__2; ++i__) {
sum += z_abs(&ap[i__]);
/* L100: */
}
}
k += j;
value = max(value,sum);
/* L110: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (udiag) {
sum = 1.;
i__2 = k + *n - j;
for (i__ = k + 1; i__ <= i__2; ++i__) {
sum += z_abs(&ap[i__]);
/* L120: */
}
} else {
sum = 0.;
i__2 = k + *n - j;
for (i__ = k; i__ <= i__2; ++i__) {
sum += z_abs(&ap[i__]);
/* L130: */
}
}
k = k + *n - j + 1;
value = max(value,sum);
/* L140: */
}
}
} else if (lsame_(norm, "I")) {
/* Find normI(A). */
k = 1;
if (lsame_(uplo, "U")) {
if (lsame_(diag, "U")) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
work[i__] = 1.;
/* L150: */
}
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = j - 1;
for (i__ = 1; i__ <= i__2; ++i__) {
work[i__] += z_abs(&ap[k]);
++k;
/* L160: */
}
++k;
/* L170: */
}
} else {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
work[i__] = 0.;
/* L180: */
}
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = j;
for (i__ = 1; i__ <= i__2; ++i__) {
work[i__] += z_abs(&ap[k]);
++k;
/* L190: */
}
/* L200: */
}
}
} else {
if (lsame_(diag, "U")) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
work[i__] = 1.;
/* L210: */
}
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
++k;
i__2 = *n;
for (i__ = j + 1; i__ <= i__2; ++i__) {
work[i__] += z_abs(&ap[k]);
++k;
/* L220: */
}
/* L230: */
}
} else {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
work[i__] = 0.;
/* L240: */
}
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = *n;
for (i__ = j; i__ <= i__2; ++i__) {
work[i__] += z_abs(&ap[k]);
++k;
/* L250: */
}
/* L260: */
}
}
}
value = 0.;
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
/* Computing MAX */
d__1 = value, d__2 = work[i__];
value = max(d__1,d__2);
/* L270: */
}
} else if (lsame_(norm, "F") || lsame_(norm, "E")) {
/* Find normF(A). */
if (lsame_(uplo, "U")) {
if (lsame_(diag, "U")) {
scale = 1.;
sum = (doublereal) (*n);
k = 2;
i__1 = *n;
for (j = 2; j <= i__1; ++j) {
i__2 = j - 1;
zlassq_(&i__2, &ap[k], &c__1, &scale, &sum);
k += j;
/* L280: */
}
} else {
scale = 0.;
sum = 1.;
k = 1;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
zlassq_(&j, &ap[k], &c__1, &scale, &sum);
k += j;
/* L290: */
}
}
} else {
if (lsame_(diag, "U")) {
scale = 1.;
sum = (doublereal) (*n);
k = 2;
i__1 = *n - 1;
for (j = 1; j <= i__1; ++j) {
i__2 = *n - j;
zlassq_(&i__2, &ap[k], &c__1, &scale, &sum);
k = k + *n - j + 1;
/* L300: */
}
} else {
scale = 0.;
sum = 1.;
k = 1;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = *n - j + 1;
zlassq_(&i__2, &ap[k], &c__1, &scale, &sum);
k = k + *n - j + 1;
/* L310: */
}
}
}
value = scale * sqrt(sum);
}
ret_val = value;
return ret_val;
/* End of ZLANTP */
} /* zlantp_ */
|
