325 lines
7.4 KiB
C
325 lines
7.4 KiB
C
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#include "clapack.h"
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/* Subroutine */ int slascl_(char *type__, integer *kl, integer *ku, real *
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cfrom, real *cto, integer *m, integer *n, real *a, integer *lda,
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integer *info)
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{
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/* System generated locals */
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integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5;
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/* Local variables */
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integer i__, j, k1, k2, k3, k4;
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real mul, cto1;
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logical done;
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real ctoc;
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extern logical lsame_(char *, char *);
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integer itype;
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real cfrom1;
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extern doublereal slamch_(char *);
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real cfromc;
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extern /* Subroutine */ int xerbla_(char *, integer *);
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real bignum, smlnum;
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/* -- LAPACK auxiliary routine (version 3.1) -- */
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/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
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/* November 2006 */
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/* .. Scalar Arguments .. */
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/* .. */
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/* .. Array Arguments .. */
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/* .. */
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/* Purpose */
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/* ======= */
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/* SLASCL multiplies the M by N real matrix A by the real scalar */
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/* CTO/CFROM. This is done without over/underflow as long as the final */
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/* result CTO*A(I,J)/CFROM does not over/underflow. TYPE specifies that */
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/* A may be full, upper triangular, lower triangular, upper Hessenberg, */
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/* or banded. */
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/* Arguments */
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/* ========= */
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/* TYPE (input) CHARACTER*1 */
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/* TYPE indices the storage type of the input matrix. */
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/* = 'G': A is a full matrix. */
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/* = 'L': A is a lower triangular matrix. */
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/* = 'U': A is an upper triangular matrix. */
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/* = 'H': A is an upper Hessenberg matrix. */
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/* = 'B': A is a symmetric band matrix with lower bandwidth KL */
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/* and upper bandwidth KU and with the only the lower */
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/* half stored. */
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/* = 'Q': A is a symmetric band matrix with lower bandwidth KL */
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/* and upper bandwidth KU and with the only the upper */
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/* half stored. */
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/* = 'Z': A is a band matrix with lower bandwidth KL and upper */
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/* bandwidth KU. */
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/* KL (input) INTEGER */
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/* The lower bandwidth of A. Referenced only if TYPE = 'B', */
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/* 'Q' or 'Z'. */
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/* KU (input) INTEGER */
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/* The upper bandwidth of A. Referenced only if TYPE = 'B', */
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/* 'Q' or 'Z'. */
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/* CFROM (input) REAL */
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/* CTO (input) REAL */
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/* The matrix A is multiplied by CTO/CFROM. A(I,J) is computed */
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/* without over/underflow if the final result CTO*A(I,J)/CFROM */
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/* can be represented without over/underflow. CFROM must be */
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/* nonzero. */
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/* M (input) INTEGER */
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/* The number of rows of the matrix A. M >= 0. */
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/* N (input) INTEGER */
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/* The number of columns of the matrix A. N >= 0. */
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/* A (input/output) REAL array, dimension (LDA,N) */
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/* The matrix to be multiplied by CTO/CFROM. See TYPE for the */
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/* storage type. */
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/* LDA (input) INTEGER */
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/* The leading dimension of the array A. LDA >= max(1,M). */
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/* INFO (output) INTEGER */
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/* 0 - successful exit */
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/* <0 - if INFO = -i, the i-th argument had an illegal value. */
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/* ===================================================================== */
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/* .. Parameters .. */
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/* .. */
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/* .. Local Scalars .. */
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/* .. */
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/* .. External Functions .. */
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/* .. */
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/* .. Intrinsic Functions .. */
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/* .. */
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/* .. External Subroutines .. */
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/* .. */
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/* .. Executable Statements .. */
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/* Test the input arguments */
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/* Parameter adjustments */
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a_dim1 = *lda;
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a_offset = 1 + a_dim1;
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a -= a_offset;
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/* Function Body */
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*info = 0;
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if (lsame_(type__, "G")) {
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itype = 0;
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} else if (lsame_(type__, "L")) {
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itype = 1;
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} else if (lsame_(type__, "U")) {
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itype = 2;
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} else if (lsame_(type__, "H")) {
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itype = 3;
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} else if (lsame_(type__, "B")) {
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itype = 4;
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} else if (lsame_(type__, "Q")) {
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itype = 5;
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} else if (lsame_(type__, "Z")) {
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itype = 6;
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} else {
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itype = -1;
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}
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if (itype == -1) {
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*info = -1;
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} else if (*cfrom == 0.f) {
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*info = -4;
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} else if (*m < 0) {
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*info = -6;
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} else if (*n < 0 || itype == 4 && *n != *m || itype == 5 && *n != *m) {
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*info = -7;
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} else if (itype <= 3 && *lda < max(1,*m)) {
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*info = -9;
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} else if (itype >= 4) {
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/* Computing MAX */
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i__1 = *m - 1;
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if (*kl < 0 || *kl > max(i__1,0)) {
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*info = -2;
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} else /* if(complicated condition) */ {
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/* Computing MAX */
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i__1 = *n - 1;
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if (*ku < 0 || *ku > max(i__1,0) || (itype == 4 || itype == 5) &&
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*kl != *ku) {
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*info = -3;
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} else if (itype == 4 && *lda < *kl + 1 || itype == 5 && *lda < *
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ku + 1 || itype == 6 && *lda < (*kl << 1) + *ku + 1) {
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*info = -9;
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}
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}
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}
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if (*info != 0) {
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i__1 = -(*info);
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xerbla_("SLASCL", &i__1);
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return 0;
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}
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/* Quick return if possible */
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if (*n == 0 || *m == 0) {
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return 0;
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}
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/* Get machine parameters */
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smlnum = slamch_("S");
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bignum = 1.f / smlnum;
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cfromc = *cfrom;
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ctoc = *cto;
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L10:
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cfrom1 = cfromc * smlnum;
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cto1 = ctoc / bignum;
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if (dabs(cfrom1) > dabs(ctoc) && ctoc != 0.f) {
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mul = smlnum;
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done = FALSE_;
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cfromc = cfrom1;
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} else if (dabs(cto1) > dabs(cfromc)) {
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mul = bignum;
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done = FALSE_;
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ctoc = cto1;
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} else {
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mul = ctoc / cfromc;
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done = TRUE_;
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}
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if (itype == 0) {
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/* Full matrix */
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = *m;
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for (i__ = 1; i__ <= i__2; ++i__) {
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a[i__ + j * a_dim1] *= mul;
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/* L20: */
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}
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/* L30: */
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}
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} else if (itype == 1) {
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/* Lower triangular matrix */
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = *m;
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for (i__ = j; i__ <= i__2; ++i__) {
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a[i__ + j * a_dim1] *= mul;
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/* L40: */
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}
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/* L50: */
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}
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} else if (itype == 2) {
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/* Upper triangular matrix */
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = min(j,*m);
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for (i__ = 1; i__ <= i__2; ++i__) {
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a[i__ + j * a_dim1] *= mul;
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/* L60: */
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}
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/* L70: */
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}
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} else if (itype == 3) {
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/* Upper Hessenberg matrix */
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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/* Computing MIN */
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i__3 = j + 1;
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i__2 = min(i__3,*m);
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for (i__ = 1; i__ <= i__2; ++i__) {
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a[i__ + j * a_dim1] *= mul;
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/* L80: */
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}
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/* L90: */
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}
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} else if (itype == 4) {
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/* Lower half of a symmetric band matrix */
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k3 = *kl + 1;
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k4 = *n + 1;
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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/* Computing MIN */
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i__3 = k3, i__4 = k4 - j;
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i__2 = min(i__3,i__4);
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for (i__ = 1; i__ <= i__2; ++i__) {
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a[i__ + j * a_dim1] *= mul;
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/* L100: */
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}
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/* L110: */
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}
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} else if (itype == 5) {
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/* Upper half of a symmetric band matrix */
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k1 = *ku + 2;
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k3 = *ku + 1;
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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/* Computing MAX */
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i__2 = k1 - j;
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i__3 = k3;
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for (i__ = max(i__2,1); i__ <= i__3; ++i__) {
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a[i__ + j * a_dim1] *= mul;
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/* L120: */
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}
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/* L130: */
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}
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} else if (itype == 6) {
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/* Band matrix */
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k1 = *kl + *ku + 2;
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k2 = *kl + 1;
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k3 = (*kl << 1) + *ku + 1;
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k4 = *kl + *ku + 1 + *m;
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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/* Computing MAX */
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i__3 = k1 - j;
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/* Computing MIN */
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i__4 = k3, i__5 = k4 - j;
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i__2 = min(i__4,i__5);
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for (i__ = max(i__3,k2); i__ <= i__2; ++i__) {
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a[i__ + j * a_dim1] *= mul;
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/* L140: */
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}
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/* L150: */
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}
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}
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if (! done) {
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goto L10;
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}
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return 0;
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/* End of SLASCL */
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} /* slascl_ */
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