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authorshmel1k <shmel1k@ydb.tech>2022-09-02 12:44:59 +0300
committershmel1k <shmel1k@ydb.tech>2022-09-02 12:44:59 +0300
commit90d450f74722da7859d6f510a869f6c6908fd12f (patch)
tree538c718dedc76cdfe37ad6d01ff250dd930d9278 /contrib/libs/clapack/clantb.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
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diff --git a/contrib/libs/clapack/clantb.c b/contrib/libs/clapack/clantb.c
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+/* clantb.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 clantb_(char *norm, char *uplo, char *diag, integer *n, integer *k,
+ complex *ab, integer *ldab, real *work)
+{
+ /* System generated locals */
+ integer ab_dim1, ab_offset, i__1, i__2, i__3, i__4, i__5;
+ real ret_val, r__1, r__2;
+
+ /* Builtin functions */
+ double c_abs(complex *), sqrt(doublereal);
+
+ /* Local variables */
+ integer i__, j, l;
+ real sum, scale;
+ logical udiag;
+ extern logical lsame_(char *, char *);
+ real value;
+ extern /* Subroutine */ int classq_(integer *, complex *, integer *, real
+ *, real *);
+
+
+/* -- LAPACK auxiliary routine (version 3.2) -- */
+/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/* November 2006 */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* CLANTB returns the value of the one norm, or the Frobenius norm, or */
+/* the infinity norm, or the element of largest absolute value of an */
+/* n by n triangular band matrix A, with ( k + 1 ) diagonals. */
+
+/* Description */
+/* =========== */
+
+/* CLANTB returns the value */
+
+/* CLANTB = ( 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 CLANTB 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, CLANTB is */
+/* set to zero. */
+
+/* K (input) INTEGER */
+/* The number of super-diagonals of the matrix A if UPLO = 'U', */
+/* or the number of sub-diagonals of the matrix A if UPLO = 'L'. */
+/* K >= 0. */
+
+/* AB (input) COMPLEX array, dimension (LDAB,N) */
+/* The upper or lower triangular band matrix A, stored in the */
+/* first k+1 rows of AB. The j-th column of A is stored */
+/* in the j-th column of the array AB as follows: */
+/* if UPLO = 'U', AB(k+1+i-j,j) = A(i,j) for max(1,j-k)<=i<=j; */
+/* if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+k). */
+/* Note that when DIAG = 'U', the elements of the array AB */
+/* corresponding to the diagonal elements of the matrix A are */
+/* not referenced, but are assumed to be one. */
+
+/* LDAB (input) INTEGER */
+/* The leading dimension of the array AB. LDAB >= K+1. */
+
+/* WORK (workspace) REAL 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 */
+ ab_dim1 = *ldab;
+ ab_offset = 1 + ab_dim1;
+ ab -= ab_offset;
+ --work;
+
+ /* Function Body */
+ if (*n == 0) {
+ value = 0.f;
+ } else if (lsame_(norm, "M")) {
+
+/* Find max(abs(A(i,j))). */
+
+ if (lsame_(diag, "U")) {
+ value = 1.f;
+ if (lsame_(uplo, "U")) {
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+/* Computing MAX */
+ i__2 = *k + 2 - j;
+ i__3 = *k;
+ for (i__ = max(i__2,1); i__ <= i__3; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&ab[i__ + j * ab_dim1]);
+ value = dmax(r__1,r__2);
+/* L10: */
+ }
+/* L20: */
+ }
+ } else {
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+/* Computing MIN */
+ i__2 = *n + 1 - j, i__4 = *k + 1;
+ i__3 = min(i__2,i__4);
+ for (i__ = 2; i__ <= i__3; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&ab[i__ + j * ab_dim1]);
+ value = dmax(r__1,r__2);
+/* L30: */
+ }
+/* L40: */
+ }
+ }
+ } else {
+ value = 0.f;
+ if (lsame_(uplo, "U")) {
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+/* Computing MAX */
+ i__3 = *k + 2 - j;
+ i__2 = *k + 1;
+ for (i__ = max(i__3,1); i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&ab[i__ + j * ab_dim1]);
+ value = dmax(r__1,r__2);
+/* L50: */
+ }
+/* L60: */
+ }
+ } else {
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+/* Computing MIN */
+ i__3 = *n + 1 - j, i__4 = *k + 1;
+ i__2 = min(i__3,i__4);
+ for (i__ = 1; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&ab[i__ + j * ab_dim1]);
+ value = dmax(r__1,r__2);
+/* L70: */
+ }
+/* L80: */
+ }
+ }
+ }
+ } else if (lsame_(norm, "O") || *(unsigned char *)
+ norm == '1') {
+
+/* Find norm1(A). */
+
+ value = 0.f;
+ udiag = lsame_(diag, "U");
+ if (lsame_(uplo, "U")) {
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+ if (udiag) {
+ sum = 1.f;
+/* Computing MAX */
+ i__2 = *k + 2 - j;
+ i__3 = *k;
+ for (i__ = max(i__2,1); i__ <= i__3; ++i__) {
+ sum += c_abs(&ab[i__ + j * ab_dim1]);
+/* L90: */
+ }
+ } else {
+ sum = 0.f;
+/* Computing MAX */
+ i__3 = *k + 2 - j;
+ i__2 = *k + 1;
+ for (i__ = max(i__3,1); i__ <= i__2; ++i__) {
+ sum += c_abs(&ab[i__ + j * ab_dim1]);
+/* L100: */
+ }
+ }
+ value = dmax(value,sum);
+/* L110: */
+ }
+ } else {
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+ if (udiag) {
+ sum = 1.f;
+/* Computing MIN */
+ i__3 = *n + 1 - j, i__4 = *k + 1;
+ i__2 = min(i__3,i__4);
+ for (i__ = 2; i__ <= i__2; ++i__) {
+ sum += c_abs(&ab[i__ + j * ab_dim1]);
+/* L120: */
+ }
+ } else {
+ sum = 0.f;
+/* Computing MIN */
+ i__3 = *n + 1 - j, i__4 = *k + 1;
+ i__2 = min(i__3,i__4);
+ for (i__ = 1; i__ <= i__2; ++i__) {
+ sum += c_abs(&ab[i__ + j * ab_dim1]);
+/* L130: */
+ }
+ }
+ value = dmax(value,sum);
+/* L140: */
+ }
+ }
+ } else if (lsame_(norm, "I")) {
+
+/* Find normI(A). */
+
+ value = 0.f;
+ if (lsame_(uplo, "U")) {
+ if (lsame_(diag, "U")) {
+ i__1 = *n;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ work[i__] = 1.f;
+/* L150: */
+ }
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+ l = *k + 1 - j;
+/* Computing MAX */
+ i__2 = 1, i__3 = j - *k;
+ i__4 = j - 1;
+ for (i__ = max(i__2,i__3); i__ <= i__4; ++i__) {
+ work[i__] += c_abs(&ab[l + i__ + j * ab_dim1]);
+/* L160: */
+ }
+/* L170: */
+ }
+ } else {
+ i__1 = *n;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ work[i__] = 0.f;
+/* L180: */
+ }
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+ l = *k + 1 - j;
+/* Computing MAX */
+ i__4 = 1, i__2 = j - *k;
+ i__3 = j;
+ for (i__ = max(i__4,i__2); i__ <= i__3; ++i__) {
+ work[i__] += c_abs(&ab[l + i__ + j * ab_dim1]);
+/* L190: */
+ }
+/* L200: */
+ }
+ }
+ } else {
+ if (lsame_(diag, "U")) {
+ i__1 = *n;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ work[i__] = 1.f;
+/* L210: */
+ }
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+ l = 1 - j;
+/* Computing MIN */
+ i__4 = *n, i__2 = j + *k;
+ i__3 = min(i__4,i__2);
+ for (i__ = j + 1; i__ <= i__3; ++i__) {
+ work[i__] += c_abs(&ab[l + i__ + j * ab_dim1]);
+/* L220: */
+ }
+/* L230: */
+ }
+ } else {
+ i__1 = *n;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ work[i__] = 0.f;
+/* L240: */
+ }
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+ l = 1 - j;
+/* Computing MIN */
+ i__4 = *n, i__2 = j + *k;
+ i__3 = min(i__4,i__2);
+ for (i__ = j; i__ <= i__3; ++i__) {
+ work[i__] += c_abs(&ab[l + i__ + j * ab_dim1]);
+/* L250: */
+ }
+/* L260: */
+ }
+ }
+ }
+ i__1 = *n;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = work[i__];
+ value = dmax(r__1,r__2);
+/* L270: */
+ }
+ } else if (lsame_(norm, "F") || lsame_(norm, "E")) {
+
+/* Find normF(A). */
+
+ if (lsame_(uplo, "U")) {
+ if (lsame_(diag, "U")) {
+ scale = 1.f;
+ sum = (real) (*n);
+ if (*k > 0) {
+ i__1 = *n;
+ for (j = 2; j <= i__1; ++j) {
+/* Computing MIN */
+ i__4 = j - 1;
+ i__3 = min(i__4,*k);
+/* Computing MAX */
+ i__2 = *k + 2 - j;
+ classq_(&i__3, &ab[max(i__2, 1)+ j * ab_dim1], &c__1,
+ &scale, &sum);
+/* L280: */
+ }
+ }
+ } else {
+ scale = 0.f;
+ sum = 1.f;
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+/* Computing MIN */
+ i__4 = j, i__2 = *k + 1;
+ i__3 = min(i__4,i__2);
+/* Computing MAX */
+ i__5 = *k + 2 - j;
+ classq_(&i__3, &ab[max(i__5, 1)+ j * ab_dim1], &c__1, &
+ scale, &sum);
+/* L290: */
+ }
+ }
+ } else {
+ if (lsame_(diag, "U")) {
+ scale = 1.f;
+ sum = (real) (*n);
+ if (*k > 0) {
+ i__1 = *n - 1;
+ for (j = 1; j <= i__1; ++j) {
+/* Computing MIN */
+ i__4 = *n - j;
+ i__3 = min(i__4,*k);
+ classq_(&i__3, &ab[j * ab_dim1 + 2], &c__1, &scale, &
+ sum);
+/* L300: */
+ }
+ }
+ } else {
+ scale = 0.f;
+ sum = 1.f;
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+/* Computing MIN */
+ i__4 = *n - j + 1, i__2 = *k + 1;
+ i__3 = min(i__4,i__2);
+ classq_(&i__3, &ab[j * ab_dim1 + 1], &c__1, &scale, &sum);
+/* L310: */
+ }
+ }
+ }
+ value = scale * sqrt(sum);
+ }
+
+ ret_val = value;
+ return ret_val;
+
+/* End of CLANTB */
+
+} /* clantb_ */