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author | shmel1k <shmel1k@ydb.tech> | 2022-09-02 12:44:59 +0300 |
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committer | shmel1k <shmel1k@ydb.tech> | 2022-09-02 12:44:59 +0300 |
commit | 90d450f74722da7859d6f510a869f6c6908fd12f (patch) | |
tree | 538c718dedc76cdfe37ad6d01ff250dd930d9278 /contrib/libs/clapack/zlansb.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/zlansb.c')
-rw-r--r-- | contrib/libs/clapack/zlansb.c | 261 |
1 files changed, 261 insertions, 0 deletions
diff --git a/contrib/libs/clapack/zlansb.c b/contrib/libs/clapack/zlansb.c new file mode 100644 index 0000000000..6d3c11c065 --- /dev/null +++ b/contrib/libs/clapack/zlansb.c @@ -0,0 +1,261 @@ +/* zlansb.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 zlansb_(char *norm, char *uplo, integer *n, integer *k, + doublecomplex *ab, integer *ldab, doublereal *work) +{ + /* System generated locals */ + integer ab_dim1, ab_offset, i__1, i__2, i__3, i__4; + doublereal ret_val, d__1, d__2; + + /* Builtin functions */ + double z_abs(doublecomplex *), sqrt(doublereal); + + /* Local variables */ + integer i__, j, l; + doublereal sum, absa, scale; + 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 */ +/* ======= */ + +/* ZLANSB 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 symmetric band matrix A, with k super-diagonals. */ + +/* Description */ +/* =========== */ + +/* ZLANSB returns the value */ + +/* ZLANSB = ( 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 ZLANSB as described */ +/* above. */ + +/* UPLO (input) CHARACTER*1 */ +/* Specifies whether the upper or lower triangular part of the */ +/* band matrix A is supplied. */ +/* = 'U': Upper triangular part is supplied */ +/* = 'L': Lower triangular part is supplied */ + +/* N (input) INTEGER */ +/* The order of the matrix A. N >= 0. When N = 0, ZLANSB is */ +/* set to zero. */ + +/* K (input) INTEGER */ +/* The number of super-diagonals or sub-diagonals of the */ +/* band matrix A. K >= 0. */ + +/* AB (input) COMPLEX*16 array, dimension (LDAB,N) */ +/* The upper or lower triangle of the symmetric 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). */ + +/* LDAB (input) INTEGER */ +/* The leading dimension of the array AB. LDAB >= K+1. */ + +/* WORK (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)), */ +/* where LWORK >= N when NORM = 'I' or '1' or 'O'; 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.; + } else if (lsame_(norm, "M")) { + +/* Find max(abs(A(i,j))). */ + + value = 0.; + if (lsame_(uplo, "U")) { + i__1 = *n; + for (j = 1; j <= i__1; ++j) { +/* Computing MAX */ + i__2 = *k + 2 - j; + i__3 = *k + 1; + for (i__ = max(i__2,1); i__ <= i__3; ++i__) { +/* Computing MAX */ + d__1 = value, d__2 = z_abs(&ab[i__ + j * ab_dim1]); + value = max(d__1,d__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__ = 1; i__ <= i__3; ++i__) { +/* Computing MAX */ + d__1 = value, d__2 = z_abs(&ab[i__ + j * ab_dim1]); + value = max(d__1,d__2); +/* L30: */ + } +/* L40: */ + } + } + } else if (lsame_(norm, "I") || lsame_(norm, "O") || *(unsigned char *)norm == '1') { + +/* Find normI(A) ( = norm1(A), since A is symmetric). */ + + value = 0.; + if (lsame_(uplo, "U")) { + i__1 = *n; + for (j = 1; j <= i__1; ++j) { + sum = 0.; + l = *k + 1 - j; +/* Computing MAX */ + i__3 = 1, i__2 = j - *k; + i__4 = j - 1; + for (i__ = max(i__3,i__2); i__ <= i__4; ++i__) { + absa = z_abs(&ab[l + i__ + j * ab_dim1]); + sum += absa; + work[i__] += absa; +/* L50: */ + } + work[j] = sum + z_abs(&ab[*k + 1 + j * ab_dim1]); +/* L60: */ + } + 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); +/* L70: */ + } + } else { + i__1 = *n; + for (i__ = 1; i__ <= i__1; ++i__) { + work[i__] = 0.; +/* L80: */ + } + i__1 = *n; + for (j = 1; j <= i__1; ++j) { + sum = work[j] + z_abs(&ab[j * ab_dim1 + 1]); + l = 1 - j; +/* Computing MIN */ + i__3 = *n, i__2 = j + *k; + i__4 = min(i__3,i__2); + for (i__ = j + 1; i__ <= i__4; ++i__) { + absa = z_abs(&ab[l + i__ + j * ab_dim1]); + sum += absa; + work[i__] += absa; +/* L90: */ + } + value = max(value,sum); +/* L100: */ + } + } + } else if (lsame_(norm, "F") || lsame_(norm, "E")) { + +/* Find normF(A). */ + + scale = 0.; + sum = 1.; + if (*k > 0) { + if (lsame_(uplo, "U")) { + i__1 = *n; + for (j = 2; j <= i__1; ++j) { +/* Computing MIN */ + i__3 = j - 1; + i__4 = min(i__3,*k); +/* Computing MAX */ + i__2 = *k + 2 - j; + zlassq_(&i__4, &ab[max(i__2, 1)+ j * ab_dim1], &c__1, & + scale, &sum); +/* L110: */ + } + l = *k + 1; + } else { + i__1 = *n - 1; + for (j = 1; j <= i__1; ++j) { +/* Computing MIN */ + i__3 = *n - j; + i__4 = min(i__3,*k); + zlassq_(&i__4, &ab[j * ab_dim1 + 2], &c__1, &scale, &sum); +/* L120: */ + } + l = 1; + } + sum *= 2; + } else { + l = 1; + } + zlassq_(n, &ab[l + ab_dim1], ldab, &scale, &sum); + value = scale * sqrt(sum); + } + + ret_val = value; + return ret_val; + +/* End of ZLANSB */ + +} /* zlansb_ */ |