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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/clanhf.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/clanhf.c')
-rw-r--r--contrib/libs/clapack/clanhf.c1803
1 files changed, 1803 insertions, 0 deletions
diff --git a/contrib/libs/clapack/clanhf.c b/contrib/libs/clapack/clanhf.c
new file mode 100644
index 0000000000..e598dae650
--- /dev/null
+++ b/contrib/libs/clapack/clanhf.c
@@ -0,0 +1,1803 @@
+/* clanhf.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 clanhf_(char *norm, char *transr, char *uplo, integer *n, complex *
+ a, real *work)
+{
+ /* System generated locals */
+ integer i__1, i__2;
+ real ret_val, r__1, r__2, r__3;
+
+ /* Builtin functions */
+ double c_abs(complex *), sqrt(doublereal);
+
+ /* Local variables */
+ integer i__, j, k, l;
+ real s;
+ integer n1;
+ real aa;
+ integer lda, ifm, noe, ilu;
+ real scale;
+ extern logical lsame_(char *, char *);
+ real value;
+ extern integer isamax_(integer *, real *, integer *);
+ extern /* Subroutine */ int classq_(integer *, complex *, integer *, real
+ *, real *);
+
+
+/* -- LAPACK routine (version 3.2) -- */
+
+/* -- Contributed by Fred Gustavson of the IBM Watson Research Center -- */
+/* -- November 2008 -- */
+
+/* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
+/* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* CLANHF returns the value of the one norm, or the Frobenius norm, or */
+/* the infinity norm, or the element of largest absolute value of a */
+/* complex Hermitian matrix A in RFP format. */
+
+/* Description */
+/* =========== */
+
+/* CLANHF returns the value */
+
+/* CLANHF = ( 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 matrix norm. */
+
+/* Arguments */
+/* ========= */
+
+/* NORM (input) CHARACTER */
+/* Specifies the value to be returned in CLANHF as described */
+/* above. */
+
+/* TRANSR (input) CHARACTER */
+/* Specifies whether the RFP format of A is normal or */
+/* conjugate-transposed format. */
+/* = 'N': RFP format is Normal */
+/* = 'C': RFP format is Conjugate-transposed */
+
+/* UPLO (input) CHARACTER */
+/* On entry, UPLO specifies whether the RFP matrix A came from */
+/* an upper or lower triangular matrix as follows: */
+
+/* UPLO = 'U' or 'u' RFP A came from an upper triangular */
+/* matrix */
+
+/* UPLO = 'L' or 'l' RFP A came from a lower triangular */
+/* matrix */
+
+/* N (input) INTEGER */
+/* The order of the matrix A. N >= 0. When N = 0, CLANHF is */
+/* set to zero. */
+
+/* A (input) COMPLEX*16 array, dimension ( N*(N+1)/2 ); */
+/* On entry, the matrix A in RFP Format. */
+/* RFP Format is described by TRANSR, UPLO and N as follows: */
+/* If TRANSR='N' then RFP A is (0:N,0:K-1) when N is even; */
+/* K=N/2. RFP A is (0:N-1,0:K) when N is odd; K=N/2. If */
+/* TRANSR = 'C' then RFP is the Conjugate-transpose of RFP A */
+/* as defined when TRANSR = 'N'. The contents of RFP A are */
+/* defined by UPLO as follows: If UPLO = 'U' the RFP A */
+/* contains the ( N*(N+1)/2 ) elements of upper packed A */
+/* either in normal or conjugate-transpose Format. If */
+/* UPLO = 'L' the RFP A contains the ( N*(N+1) /2 ) elements */
+/* of lower packed A either in normal or conjugate-transpose */
+/* Format. The LDA of RFP A is (N+1)/2 when TRANSR = 'C'. When */
+/* TRANSR is 'N' the LDA is N+1 when N is even and is N when */
+/* is odd. See the Note below for more details. */
+/* Unchanged on exit. */
+
+/* WORK (workspace) REAL array, dimension (LWORK), */
+/* where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise, */
+/* WORK is not referenced. */
+
+/* Note: */
+/* ===== */
+
+/* We first consider Standard Packed Format when N is even. */
+/* We give an example where N = 6. */
+
+/* AP is Upper AP is Lower */
+
+/* 00 01 02 03 04 05 00 */
+/* 11 12 13 14 15 10 11 */
+/* 22 23 24 25 20 21 22 */
+/* 33 34 35 30 31 32 33 */
+/* 44 45 40 41 42 43 44 */
+/* 55 50 51 52 53 54 55 */
+
+
+/* Let TRANSR = 'N'. RFP holds AP as follows: */
+/* For UPLO = 'U' the upper trapezoid A(0:5,0:2) consists of the last */
+/* three columns of AP upper. The lower triangle A(4:6,0:2) consists of */
+/* conjugate-transpose of the first three columns of AP upper. */
+/* For UPLO = 'L' the lower trapezoid A(1:6,0:2) consists of the first */
+/* three columns of AP lower. The upper triangle A(0:2,0:2) consists of */
+/* conjugate-transpose of the last three columns of AP lower. */
+/* To denote conjugate we place -- above the element. This covers the */
+/* case N even and TRANSR = 'N'. */
+
+/* RFP A RFP A */
+
+/* -- -- -- */
+/* 03 04 05 33 43 53 */
+/* -- -- */
+/* 13 14 15 00 44 54 */
+/* -- */
+/* 23 24 25 10 11 55 */
+
+/* 33 34 35 20 21 22 */
+/* -- */
+/* 00 44 45 30 31 32 */
+/* -- -- */
+/* 01 11 55 40 41 42 */
+/* -- -- -- */
+/* 02 12 22 50 51 52 */
+
+/* Now let TRANSR = 'C'. RFP A in both UPLO cases is just the conjugate- */
+/* transpose of RFP A above. One therefore gets: */
+
+
+/* RFP A RFP A */
+
+/* -- -- -- -- -- -- -- -- -- -- */
+/* 03 13 23 33 00 01 02 33 00 10 20 30 40 50 */
+/* -- -- -- -- -- -- -- -- -- -- */
+/* 04 14 24 34 44 11 12 43 44 11 21 31 41 51 */
+/* -- -- -- -- -- -- -- -- -- -- */
+/* 05 15 25 35 45 55 22 53 54 55 22 32 42 52 */
+
+
+/* We next consider Standard Packed Format when N is odd. */
+/* We give an example where N = 5. */
+
+/* AP is Upper AP is Lower */
+
+/* 00 01 02 03 04 00 */
+/* 11 12 13 14 10 11 */
+/* 22 23 24 20 21 22 */
+/* 33 34 30 31 32 33 */
+/* 44 40 41 42 43 44 */
+
+
+/* Let TRANSR = 'N'. RFP holds AP as follows: */
+/* For UPLO = 'U' the upper trapezoid A(0:4,0:2) consists of the last */
+/* three columns of AP upper. The lower triangle A(3:4,0:1) consists of */
+/* conjugate-transpose of the first two columns of AP upper. */
+/* For UPLO = 'L' the lower trapezoid A(0:4,0:2) consists of the first */
+/* three columns of AP lower. The upper triangle A(0:1,1:2) consists of */
+/* conjugate-transpose of the last two columns of AP lower. */
+/* To denote conjugate we place -- above the element. This covers the */
+/* case N odd and TRANSR = 'N'. */
+
+/* RFP A RFP A */
+
+/* -- -- */
+/* 02 03 04 00 33 43 */
+/* -- */
+/* 12 13 14 10 11 44 */
+
+/* 22 23 24 20 21 22 */
+/* -- */
+/* 00 33 34 30 31 32 */
+/* -- -- */
+/* 01 11 44 40 41 42 */
+
+/* Now let TRANSR = 'C'. RFP A in both UPLO cases is just the conjugate- */
+/* transpose of RFP A above. One therefore gets: */
+
+
+/* RFP A RFP A */
+
+/* -- -- -- -- -- -- -- -- -- */
+/* 02 12 22 00 01 00 10 20 30 40 50 */
+/* -- -- -- -- -- -- -- -- -- */
+/* 03 13 23 33 11 33 11 21 31 41 51 */
+/* -- -- -- -- -- -- -- -- -- */
+/* 04 14 24 34 44 43 44 22 32 42 52 */
+
+/* ===================================================================== */
+
+/* .. Parameters .. */
+/* .. */
+/* .. Local Scalars .. */
+/* .. */
+/* .. External Functions .. */
+/* .. */
+/* .. External Subroutines .. */
+/* .. */
+/* .. Intrinsic Functions .. */
+/* .. */
+/* .. Executable Statements .. */
+
+ if (*n == 0) {
+ ret_val = 0.f;
+ return ret_val;
+ }
+
+/* set noe = 1 if n is odd. if n is even set noe=0 */
+
+ noe = 1;
+ if (*n % 2 == 0) {
+ noe = 0;
+ }
+
+/* set ifm = 0 when form='C' or 'c' and 1 otherwise */
+
+ ifm = 1;
+ if (lsame_(transr, "C")) {
+ ifm = 0;
+ }
+
+/* set ilu = 0 when uplo='U or 'u' and 1 otherwise */
+
+ ilu = 1;
+ if (lsame_(uplo, "U")) {
+ ilu = 0;
+ }
+
+/* set lda = (n+1)/2 when ifm = 0 */
+/* set lda = n when ifm = 1 and noe = 1 */
+/* set lda = n+1 when ifm = 1 and noe = 0 */
+
+ if (ifm == 1) {
+ if (noe == 1) {
+ lda = *n;
+ } else {
+/* noe=0 */
+ lda = *n + 1;
+ }
+ } else {
+/* ifm=0 */
+ lda = (*n + 1) / 2;
+ }
+
+ if (lsame_(norm, "M")) {
+
+/* Find max(abs(A(i,j))). */
+
+ k = (*n + 1) / 2;
+ value = 0.f;
+ if (noe == 1) {
+/* n is odd & n = k + k - 1 */
+ if (ifm == 1) {
+/* A is n by k */
+ if (ilu == 1) {
+/* uplo ='L' */
+ j = 0;
+/* -> L(0,0) */
+/* Computing MAX */
+ i__1 = j + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__1].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__1 = *n - 1;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ i__1 = k - 1;
+ for (j = 1; j <= i__1; ++j) {
+ i__2 = j - 2;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ i__ = j - 1;
+/* L(k+j,k+j) */
+/* Computing MAX */
+ i__2 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__2].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__ = j;
+/* -> L(j,j) */
+/* Computing MAX */
+ i__2 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__2].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__2 = *n - 1;
+ for (i__ = j + 1; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ }
+ } else {
+/* uplo = 'U' */
+ i__1 = k - 2;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = k + j - 2;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ i__ = k + j - 1;
+/* -> U(i,i) */
+/* Computing MAX */
+ i__2 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__2].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ ++i__;
+/* =k+j; i -> U(j,j) */
+/* Computing MAX */
+ i__2 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__2].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__2 = *n - 1;
+ for (i__ = k + j + 1; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ }
+ i__1 = *n - 2;
+ for (i__ = 0; i__ <= i__1; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+/* j=k-1 */
+ }
+/* i=n-1 -> U(n-1,n-1) */
+/* Computing MAX */
+ i__1 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__1].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ }
+ } else {
+/* xpose case; A is k by n */
+ if (ilu == 1) {
+/* uplo ='L' */
+ i__1 = k - 2;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = j - 1;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ i__ = j;
+/* L(i,i) */
+/* Computing MAX */
+ i__2 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__2].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__ = j + 1;
+/* L(j+k,j+k) */
+/* Computing MAX */
+ i__2 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__2].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__2 = k - 1;
+ for (i__ = j + 2; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ }
+ j = k - 1;
+ i__1 = k - 2;
+ for (i__ = 0; i__ <= i__1; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ i__ = k - 1;
+/* -> L(i,i) is at A(i,j) */
+/* Computing MAX */
+ i__1 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__1].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__1 = *n - 1;
+ for (j = k; j <= i__1; ++j) {
+ i__2 = k - 1;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ }
+ } else {
+/* uplo = 'U' */
+ i__1 = k - 2;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = k - 1;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ }
+ j = k - 1;
+/* -> U(j,j) is at A(0,j) */
+/* Computing MAX */
+ i__1 = j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__1].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__1 = k - 1;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ i__1 = *n - 1;
+ for (j = k; j <= i__1; ++j) {
+ i__2 = j - k - 1;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ i__ = j - k;
+/* -> U(i,i) at A(i,j) */
+/* Computing MAX */
+ i__2 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__2].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__ = j - k + 1;
+/* U(j,j) */
+/* Computing MAX */
+ i__2 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__2].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__2 = k - 1;
+ for (i__ = j - k + 2; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ }
+ }
+ }
+ } else {
+/* n is even & k = n/2 */
+ if (ifm == 1) {
+/* A is n+1 by k */
+ if (ilu == 1) {
+/* uplo ='L' */
+ j = 0;
+/* -> L(k,k) & j=1 -> L(0,0) */
+/* Computing MAX */
+ i__1 = j + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__1].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+/* Computing MAX */
+ i__1 = j + 1 + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__1].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__1 = *n;
+ for (i__ = 2; i__ <= i__1; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ i__1 = k - 1;
+ for (j = 1; j <= i__1; ++j) {
+ i__2 = j - 1;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ i__ = j;
+/* L(k+j,k+j) */
+/* Computing MAX */
+ i__2 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__2].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__ = j + 1;
+/* -> L(j,j) */
+/* Computing MAX */
+ i__2 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__2].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__2 = *n;
+ for (i__ = j + 2; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ }
+ } else {
+/* uplo = 'U' */
+ i__1 = k - 2;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = k + j - 1;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ i__ = k + j;
+/* -> U(i,i) */
+/* Computing MAX */
+ i__2 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__2].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ ++i__;
+/* =k+j+1; i -> U(j,j) */
+/* Computing MAX */
+ i__2 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__2].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__2 = *n;
+ for (i__ = k + j + 2; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ }
+ i__1 = *n - 2;
+ for (i__ = 0; i__ <= i__1; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+/* j=k-1 */
+ }
+/* i=n-1 -> U(n-1,n-1) */
+/* Computing MAX */
+ i__1 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__1].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__ = *n;
+/* -> U(k-1,k-1) */
+/* Computing MAX */
+ i__1 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__1].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ }
+ } else {
+/* xpose case; A is k by n+1 */
+ if (ilu == 1) {
+/* uplo ='L' */
+ j = 0;
+/* -> L(k,k) at A(0,0) */
+/* Computing MAX */
+ i__1 = j + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__1].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__1 = k - 1;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ i__1 = k - 1;
+ for (j = 1; j <= i__1; ++j) {
+ i__2 = j - 2;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ i__ = j - 1;
+/* L(i,i) */
+/* Computing MAX */
+ i__2 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__2].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__ = j;
+/* L(j+k,j+k) */
+/* Computing MAX */
+ i__2 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__2].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__2 = k - 1;
+ for (i__ = j + 1; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ }
+ j = k;
+ i__1 = k - 2;
+ for (i__ = 0; i__ <= i__1; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ i__ = k - 1;
+/* -> L(i,i) is at A(i,j) */
+/* Computing MAX */
+ i__1 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__1].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__1 = *n;
+ for (j = k + 1; j <= i__1; ++j) {
+ i__2 = k - 1;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ }
+ } else {
+/* uplo = 'U' */
+ i__1 = k - 1;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = k - 1;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ }
+ j = k;
+/* -> U(j,j) is at A(0,j) */
+/* Computing MAX */
+ i__1 = j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__1].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__1 = k - 1;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ i__1 = *n - 1;
+ for (j = k + 1; j <= i__1; ++j) {
+ i__2 = j - k - 2;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ i__ = j - k - 1;
+/* -> U(i,i) at A(i,j) */
+/* Computing MAX */
+ i__2 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__2].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__ = j - k;
+/* U(j,j) */
+/* Computing MAX */
+ i__2 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__2].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ i__2 = k - 1;
+ for (i__ = j - k + 1; i__ <= i__2; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ }
+ j = *n;
+ i__1 = k - 2;
+ for (i__ = 0; i__ <= i__1; ++i__) {
+/* Computing MAX */
+ r__1 = value, r__2 = c_abs(&a[i__ + j * lda]);
+ value = dmax(r__1,r__2);
+ }
+ i__ = k - 1;
+/* U(k,k) at A(i,j) */
+/* Computing MAX */
+ i__1 = i__ + j * lda;
+ r__2 = value, r__3 = (r__1 = a[i__1].r, dabs(r__1));
+ value = dmax(r__2,r__3);
+ }
+ }
+ }
+ } else if (lsame_(norm, "I") || lsame_(norm, "O") || *(unsigned char *)norm == '1') {
+
+/* Find normI(A) ( = norm1(A), since A is Hermitian). */
+
+ if (ifm == 1) {
+/* A is 'N' */
+ k = *n / 2;
+ if (noe == 1) {
+/* n is odd & A is n by (n+1)/2 */
+ if (ilu == 0) {
+/* uplo = 'U' */
+ i__1 = k - 1;
+ for (i__ = 0; i__ <= i__1; ++i__) {
+ work[i__] = 0.f;
+ }
+ i__1 = k;
+ for (j = 0; j <= i__1; ++j) {
+ s = 0.f;
+ i__2 = k + j - 1;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+ aa = c_abs(&a[i__ + j * lda]);
+/* -> A(i,j+k) */
+ s += aa;
+ work[i__] += aa;
+ }
+ i__2 = i__ + j * lda;
+ aa = (r__1 = a[i__2].r, dabs(r__1));
+/* -> A(j+k,j+k) */
+ work[j + k] = s + aa;
+ if (i__ == k + k) {
+ goto L10;
+ }
+ ++i__;
+ i__2 = i__ + j * lda;
+ aa = (r__1 = a[i__2].r, dabs(r__1));
+/* -> A(j,j) */
+ work[j] += aa;
+ s = 0.f;
+ i__2 = k - 1;
+ for (l = j + 1; l <= i__2; ++l) {
+ ++i__;
+ aa = c_abs(&a[i__ + j * lda]);
+/* -> A(l,j) */
+ s += aa;
+ work[l] += aa;
+ }
+ work[j] += s;
+ }
+L10:
+ i__ = isamax_(n, work, &c__1);
+ value = work[i__ - 1];
+ } else {
+/* ilu = 1 & uplo = 'L' */
+ ++k;
+/* k=(n+1)/2 for n odd and ilu=1 */
+ i__1 = *n - 1;
+ for (i__ = k; i__ <= i__1; ++i__) {
+ work[i__] = 0.f;
+ }
+ for (j = k - 1; j >= 0; --j) {
+ s = 0.f;
+ i__1 = j - 2;
+ for (i__ = 0; i__ <= i__1; ++i__) {
+ aa = c_abs(&a[i__ + j * lda]);
+/* -> A(j+k,i+k) */
+ s += aa;
+ work[i__ + k] += aa;
+ }
+ if (j > 0) {
+ i__1 = i__ + j * lda;
+ aa = (r__1 = a[i__1].r, dabs(r__1));
+/* -> A(j+k,j+k) */
+ s += aa;
+ work[i__ + k] += s;
+/* i=j */
+ ++i__;
+ }
+ i__1 = i__ + j * lda;
+ aa = (r__1 = a[i__1].r, dabs(r__1));
+/* -> A(j,j) */
+ work[j] = aa;
+ s = 0.f;
+ i__1 = *n - 1;
+ for (l = j + 1; l <= i__1; ++l) {
+ ++i__;
+ aa = c_abs(&a[i__ + j * lda]);
+/* -> A(l,j) */
+ s += aa;
+ work[l] += aa;
+ }
+ work[j] += s;
+ }
+ i__ = isamax_(n, work, &c__1);
+ value = work[i__ - 1];
+ }
+ } else {
+/* n is even & A is n+1 by k = n/2 */
+ if (ilu == 0) {
+/* uplo = 'U' */
+ i__1 = k - 1;
+ for (i__ = 0; i__ <= i__1; ++i__) {
+ work[i__] = 0.f;
+ }
+ i__1 = k - 1;
+ for (j = 0; j <= i__1; ++j) {
+ s = 0.f;
+ i__2 = k + j - 1;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+ aa = c_abs(&a[i__ + j * lda]);
+/* -> A(i,j+k) */
+ s += aa;
+ work[i__] += aa;
+ }
+ i__2 = i__ + j * lda;
+ aa = (r__1 = a[i__2].r, dabs(r__1));
+/* -> A(j+k,j+k) */
+ work[j + k] = s + aa;
+ ++i__;
+ i__2 = i__ + j * lda;
+ aa = (r__1 = a[i__2].r, dabs(r__1));
+/* -> A(j,j) */
+ work[j] += aa;
+ s = 0.f;
+ i__2 = k - 1;
+ for (l = j + 1; l <= i__2; ++l) {
+ ++i__;
+ aa = c_abs(&a[i__ + j * lda]);
+/* -> A(l,j) */
+ s += aa;
+ work[l] += aa;
+ }
+ work[j] += s;
+ }
+ i__ = isamax_(n, work, &c__1);
+ value = work[i__ - 1];
+ } else {
+/* ilu = 1 & uplo = 'L' */
+ i__1 = *n - 1;
+ for (i__ = k; i__ <= i__1; ++i__) {
+ work[i__] = 0.f;
+ }
+ for (j = k - 1; j >= 0; --j) {
+ s = 0.f;
+ i__1 = j - 1;
+ for (i__ = 0; i__ <= i__1; ++i__) {
+ aa = c_abs(&a[i__ + j * lda]);
+/* -> A(j+k,i+k) */
+ s += aa;
+ work[i__ + k] += aa;
+ }
+ i__1 = i__ + j * lda;
+ aa = (r__1 = a[i__1].r, dabs(r__1));
+/* -> A(j+k,j+k) */
+ s += aa;
+ work[i__ + k] += s;
+/* i=j */
+ ++i__;
+ i__1 = i__ + j * lda;
+ aa = (r__1 = a[i__1].r, dabs(r__1));
+/* -> A(j,j) */
+ work[j] = aa;
+ s = 0.f;
+ i__1 = *n - 1;
+ for (l = j + 1; l <= i__1; ++l) {
+ ++i__;
+ aa = c_abs(&a[i__ + j * lda]);
+/* -> A(l,j) */
+ s += aa;
+ work[l] += aa;
+ }
+ work[j] += s;
+ }
+ i__ = isamax_(n, work, &c__1);
+ value = work[i__ - 1];
+ }
+ }
+ } else {
+/* ifm=0 */
+ k = *n / 2;
+ if (noe == 1) {
+/* n is odd & A is (n+1)/2 by n */
+ if (ilu == 0) {
+/* uplo = 'U' */
+ n1 = k;
+/* n/2 */
+ ++k;
+/* k is the row size and lda */
+ i__1 = *n - 1;
+ for (i__ = n1; i__ <= i__1; ++i__) {
+ work[i__] = 0.f;
+ }
+ i__1 = n1 - 1;
+ for (j = 0; j <= i__1; ++j) {
+ s = 0.f;
+ i__2 = k - 1;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+ aa = c_abs(&a[i__ + j * lda]);
+/* A(j,n1+i) */
+ work[i__ + n1] += aa;
+ s += aa;
+ }
+ work[j] = s;
+ }
+/* j=n1=k-1 is special */
+ i__1 = j * lda;
+ s = (r__1 = a[i__1].r, dabs(r__1));
+/* A(k-1,k-1) */
+ i__1 = k - 1;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ aa = c_abs(&a[i__ + j * lda]);
+/* A(k-1,i+n1) */
+ work[i__ + n1] += aa;
+ s += aa;
+ }
+ work[j] += s;
+ i__1 = *n - 1;
+ for (j = k; j <= i__1; ++j) {
+ s = 0.f;
+ i__2 = j - k - 1;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+ aa = c_abs(&a[i__ + j * lda]);
+/* A(i,j-k) */
+ work[i__] += aa;
+ s += aa;
+ }
+/* i=j-k */
+ i__2 = i__ + j * lda;
+ aa = (r__1 = a[i__2].r, dabs(r__1));
+/* A(j-k,j-k) */
+ s += aa;
+ work[j - k] += s;
+ ++i__;
+ i__2 = i__ + j * lda;
+ s = (r__1 = a[i__2].r, dabs(r__1));
+/* A(j,j) */
+ i__2 = *n - 1;
+ for (l = j + 1; l <= i__2; ++l) {
+ ++i__;
+ aa = c_abs(&a[i__ + j * lda]);
+/* A(j,l) */
+ work[l] += aa;
+ s += aa;
+ }
+ work[j] += s;
+ }
+ i__ = isamax_(n, work, &c__1);
+ value = work[i__ - 1];
+ } else {
+/* ilu=1 & uplo = 'L' */
+ ++k;
+/* k=(n+1)/2 for n odd and ilu=1 */
+ i__1 = *n - 1;
+ for (i__ = k; i__ <= i__1; ++i__) {
+ work[i__] = 0.f;
+ }
+ i__1 = k - 2;
+ for (j = 0; j <= i__1; ++j) {
+/* process */
+ s = 0.f;
+ i__2 = j - 1;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+ aa = c_abs(&a[i__ + j * lda]);
+/* A(j,i) */
+ work[i__] += aa;
+ s += aa;
+ }
+ i__2 = i__ + j * lda;
+ aa = (r__1 = a[i__2].r, dabs(r__1));
+/* i=j so process of A(j,j) */
+ s += aa;
+ work[j] = s;
+/* is initialised here */
+ ++i__;
+/* i=j process A(j+k,j+k) */
+ i__2 = i__ + j * lda;
+ aa = (r__1 = a[i__2].r, dabs(r__1));
+ s = aa;
+ i__2 = *n - 1;
+ for (l = k + j + 1; l <= i__2; ++l) {
+ ++i__;
+ aa = c_abs(&a[i__ + j * lda]);
+/* A(l,k+j) */
+ s += aa;
+ work[l] += aa;
+ }
+ work[k + j] += s;
+ }
+/* j=k-1 is special :process col A(k-1,0:k-1) */
+ s = 0.f;
+ i__1 = k - 2;
+ for (i__ = 0; i__ <= i__1; ++i__) {
+ aa = c_abs(&a[i__ + j * lda]);
+/* A(k,i) */
+ work[i__] += aa;
+ s += aa;
+ }
+/* i=k-1 */
+ i__1 = i__ + j * lda;
+ aa = (r__1 = a[i__1].r, dabs(r__1));
+/* A(k-1,k-1) */
+ s += aa;
+ work[i__] = s;
+/* done with col j=k+1 */
+ i__1 = *n - 1;
+ for (j = k; j <= i__1; ++j) {
+/* process col j of A = A(j,0:k-1) */
+ s = 0.f;
+ i__2 = k - 1;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+ aa = c_abs(&a[i__ + j * lda]);
+/* A(j,i) */
+ work[i__] += aa;
+ s += aa;
+ }
+ work[j] += s;
+ }
+ i__ = isamax_(n, work, &c__1);
+ value = work[i__ - 1];
+ }
+ } else {
+/* n is even & A is k=n/2 by n+1 */
+ if (ilu == 0) {
+/* uplo = 'U' */
+ i__1 = *n - 1;
+ for (i__ = k; i__ <= i__1; ++i__) {
+ work[i__] = 0.f;
+ }
+ i__1 = k - 1;
+ for (j = 0; j <= i__1; ++j) {
+ s = 0.f;
+ i__2 = k - 1;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+ aa = c_abs(&a[i__ + j * lda]);
+/* A(j,i+k) */
+ work[i__ + k] += aa;
+ s += aa;
+ }
+ work[j] = s;
+ }
+/* j=k */
+ i__1 = j * lda;
+ aa = (r__1 = a[i__1].r, dabs(r__1));
+/* A(k,k) */
+ s = aa;
+ i__1 = k - 1;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ aa = c_abs(&a[i__ + j * lda]);
+/* A(k,k+i) */
+ work[i__ + k] += aa;
+ s += aa;
+ }
+ work[j] += s;
+ i__1 = *n - 1;
+ for (j = k + 1; j <= i__1; ++j) {
+ s = 0.f;
+ i__2 = j - 2 - k;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+ aa = c_abs(&a[i__ + j * lda]);
+/* A(i,j-k-1) */
+ work[i__] += aa;
+ s += aa;
+ }
+/* i=j-1-k */
+ i__2 = i__ + j * lda;
+ aa = (r__1 = a[i__2].r, dabs(r__1));
+/* A(j-k-1,j-k-1) */
+ s += aa;
+ work[j - k - 1] += s;
+ ++i__;
+ i__2 = i__ + j * lda;
+ aa = (r__1 = a[i__2].r, dabs(r__1));
+/* A(j,j) */
+ s = aa;
+ i__2 = *n - 1;
+ for (l = j + 1; l <= i__2; ++l) {
+ ++i__;
+ aa = c_abs(&a[i__ + j * lda]);
+/* A(j,l) */
+ work[l] += aa;
+ s += aa;
+ }
+ work[j] += s;
+ }
+/* j=n */
+ s = 0.f;
+ i__1 = k - 2;
+ for (i__ = 0; i__ <= i__1; ++i__) {
+ aa = c_abs(&a[i__ + j * lda]);
+/* A(i,k-1) */
+ work[i__] += aa;
+ s += aa;
+ }
+/* i=k-1 */
+ i__1 = i__ + j * lda;
+ aa = (r__1 = a[i__1].r, dabs(r__1));
+/* A(k-1,k-1) */
+ s += aa;
+ work[i__] += s;
+ i__ = isamax_(n, work, &c__1);
+ value = work[i__ - 1];
+ } else {
+/* ilu=1 & uplo = 'L' */
+ i__1 = *n - 1;
+ for (i__ = k; i__ <= i__1; ++i__) {
+ work[i__] = 0.f;
+ }
+/* j=0 is special :process col A(k:n-1,k) */
+ s = (r__1 = a[0].r, dabs(r__1));
+/* A(k,k) */
+ i__1 = k - 1;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ aa = c_abs(&a[i__]);
+/* A(k+i,k) */
+ work[i__ + k] += aa;
+ s += aa;
+ }
+ work[k] += s;
+ i__1 = k - 1;
+ for (j = 1; j <= i__1; ++j) {
+/* process */
+ s = 0.f;
+ i__2 = j - 2;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+ aa = c_abs(&a[i__ + j * lda]);
+/* A(j-1,i) */
+ work[i__] += aa;
+ s += aa;
+ }
+ i__2 = i__ + j * lda;
+ aa = (r__1 = a[i__2].r, dabs(r__1));
+/* i=j-1 so process of A(j-1,j-1) */
+ s += aa;
+ work[j - 1] = s;
+/* is initialised here */
+ ++i__;
+/* i=j process A(j+k,j+k) */
+ i__2 = i__ + j * lda;
+ aa = (r__1 = a[i__2].r, dabs(r__1));
+ s = aa;
+ i__2 = *n - 1;
+ for (l = k + j + 1; l <= i__2; ++l) {
+ ++i__;
+ aa = c_abs(&a[i__ + j * lda]);
+/* A(l,k+j) */
+ s += aa;
+ work[l] += aa;
+ }
+ work[k + j] += s;
+ }
+/* j=k is special :process col A(k,0:k-1) */
+ s = 0.f;
+ i__1 = k - 2;
+ for (i__ = 0; i__ <= i__1; ++i__) {
+ aa = c_abs(&a[i__ + j * lda]);
+/* A(k,i) */
+ work[i__] += aa;
+ s += aa;
+ }
+
+/* i=k-1 */
+ i__1 = i__ + j * lda;
+ aa = (r__1 = a[i__1].r, dabs(r__1));
+/* A(k-1,k-1) */
+ s += aa;
+ work[i__] = s;
+/* done with col j=k+1 */
+ i__1 = *n;
+ for (j = k + 1; j <= i__1; ++j) {
+
+/* process col j-1 of A = A(j-1,0:k-1) */
+ s = 0.f;
+ i__2 = k - 1;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+ aa = c_abs(&a[i__ + j * lda]);
+/* A(j-1,i) */
+ work[i__] += aa;
+ s += aa;
+ }
+ work[j - 1] += s;
+ }
+ i__ = isamax_(n, work, &c__1);
+ value = work[i__ - 1];
+ }
+ }
+ }
+ } else if (lsame_(norm, "F") || lsame_(norm, "E")) {
+
+/* Find normF(A). */
+
+ k = (*n + 1) / 2;
+ scale = 0.f;
+ s = 1.f;
+ if (noe == 1) {
+/* n is odd */
+ if (ifm == 1) {
+/* A is normal & A is n by k */
+ if (ilu == 0) {
+/* A is upper */
+ i__1 = k - 3;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = k - j - 2;
+ classq_(&i__2, &a[k + j + 1 + j * lda], &c__1, &scale,
+ &s);
+/* L at A(k,0) */
+ }
+ i__1 = k - 1;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = k + j - 1;
+ classq_(&i__2, &a[j * lda], &c__1, &scale, &s);
+/* trap U at A(0,0) */
+ }
+ s += s;
+/* double s for the off diagonal elements */
+ l = k - 1;
+/* -> U(k,k) at A(k-1,0) */
+ i__1 = k - 2;
+ for (i__ = 0; i__ <= i__1; ++i__) {
+ i__2 = l;
+ aa = a[i__2].r;
+/* U(k+i,k+i) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ i__2 = l + 1;
+ aa = a[i__2].r;
+/* U(i,i) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ l = l + lda + 1;
+ }
+ i__1 = l;
+ aa = a[i__1].r;
+/* U(n-1,n-1) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ } else {
+/* ilu=1 & A is lower */
+ i__1 = k - 1;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = *n - j - 1;
+ classq_(&i__2, &a[j + 1 + j * lda], &c__1, &scale, &s)
+ ;
+/* trap L at A(0,0) */
+ }
+ i__1 = k - 2;
+ for (j = 1; j <= i__1; ++j) {
+ classq_(&j, &a[(j + 1) * lda], &c__1, &scale, &s);
+/* U at A(0,1) */
+ }
+ s += s;
+/* double s for the off diagonal elements */
+ aa = a[0].r;
+/* L(0,0) at A(0,0) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ l = lda;
+/* -> L(k,k) at A(0,1) */
+ i__1 = k - 1;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ i__2 = l;
+ aa = a[i__2].r;
+/* L(k-1+i,k-1+i) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ i__2 = l + 1;
+ aa = a[i__2].r;
+/* L(i,i) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ l = l + lda + 1;
+ }
+ }
+ } else {
+/* A is xpose & A is k by n */
+ if (ilu == 0) {
+/* A' is upper */
+ i__1 = k - 2;
+ for (j = 1; j <= i__1; ++j) {
+ classq_(&j, &a[(k + j) * lda], &c__1, &scale, &s);
+/* U at A(0,k) */
+ }
+ i__1 = k - 2;
+ for (j = 0; j <= i__1; ++j) {
+ classq_(&k, &a[j * lda], &c__1, &scale, &s);
+/* k by k-1 rect. at A(0,0) */
+ }
+ i__1 = k - 2;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = k - j - 1;
+ classq_(&i__2, &a[j + 1 + (j + k - 1) * lda], &c__1, &
+ scale, &s);
+/* L at A(0,k-1) */
+ }
+ s += s;
+/* double s for the off diagonal elements */
+ l = k * lda - lda;
+/* -> U(k-1,k-1) at A(0,k-1) */
+ i__1 = l;
+ aa = a[i__1].r;
+/* U(k-1,k-1) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ l += lda;
+/* -> U(0,0) at A(0,k) */
+ i__1 = *n - 1;
+ for (j = k; j <= i__1; ++j) {
+ i__2 = l;
+ aa = a[i__2].r;
+/* -> U(j-k,j-k) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ i__2 = l + 1;
+ aa = a[i__2].r;
+/* -> U(j,j) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ l = l + lda + 1;
+ }
+ } else {
+/* A' is lower */
+ i__1 = k - 1;
+ for (j = 1; j <= i__1; ++j) {
+ classq_(&j, &a[j * lda], &c__1, &scale, &s);
+/* U at A(0,0) */
+ }
+ i__1 = *n - 1;
+ for (j = k; j <= i__1; ++j) {
+ classq_(&k, &a[j * lda], &c__1, &scale, &s);
+/* k by k-1 rect. at A(0,k) */
+ }
+ i__1 = k - 3;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = k - j - 2;
+ classq_(&i__2, &a[j + 2 + j * lda], &c__1, &scale, &s)
+ ;
+/* L at A(1,0) */
+ }
+ s += s;
+/* double s for the off diagonal elements */
+ l = 0;
+/* -> L(0,0) at A(0,0) */
+ i__1 = k - 2;
+ for (i__ = 0; i__ <= i__1; ++i__) {
+ i__2 = l;
+ aa = a[i__2].r;
+/* L(i,i) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ i__2 = l + 1;
+ aa = a[i__2].r;
+/* L(k+i,k+i) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ l = l + lda + 1;
+ }
+/* L-> k-1 + (k-1)*lda or L(k-1,k-1) at A(k-1,k-1) */
+ i__1 = l;
+ aa = a[i__1].r;
+/* L(k-1,k-1) at A(k-1,k-1) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ }
+ }
+ } else {
+/* n is even */
+ if (ifm == 1) {
+/* A is normal */
+ if (ilu == 0) {
+/* A is upper */
+ i__1 = k - 2;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = k - j - 1;
+ classq_(&i__2, &a[k + j + 2 + j * lda], &c__1, &scale,
+ &s);
+/* L at A(k+1,0) */
+ }
+ i__1 = k - 1;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = k + j;
+ classq_(&i__2, &a[j * lda], &c__1, &scale, &s);
+/* trap U at A(0,0) */
+ }
+ s += s;
+/* double s for the off diagonal elements */
+ l = k;
+/* -> U(k,k) at A(k,0) */
+ i__1 = k - 1;
+ for (i__ = 0; i__ <= i__1; ++i__) {
+ i__2 = l;
+ aa = a[i__2].r;
+/* U(k+i,k+i) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ i__2 = l + 1;
+ aa = a[i__2].r;
+/* U(i,i) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ l = l + lda + 1;
+ }
+ } else {
+/* ilu=1 & A is lower */
+ i__1 = k - 1;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = *n - j - 1;
+ classq_(&i__2, &a[j + 2 + j * lda], &c__1, &scale, &s)
+ ;
+/* trap L at A(1,0) */
+ }
+ i__1 = k - 1;
+ for (j = 1; j <= i__1; ++j) {
+ classq_(&j, &a[j * lda], &c__1, &scale, &s);
+/* U at A(0,0) */
+ }
+ s += s;
+/* double s for the off diagonal elements */
+ l = 0;
+/* -> L(k,k) at A(0,0) */
+ i__1 = k - 1;
+ for (i__ = 0; i__ <= i__1; ++i__) {
+ i__2 = l;
+ aa = a[i__2].r;
+/* L(k-1+i,k-1+i) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ i__2 = l + 1;
+ aa = a[i__2].r;
+/* L(i,i) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ l = l + lda + 1;
+ }
+ }
+ } else {
+/* A is xpose */
+ if (ilu == 0) {
+/* A' is upper */
+ i__1 = k - 1;
+ for (j = 1; j <= i__1; ++j) {
+ classq_(&j, &a[(k + 1 + j) * lda], &c__1, &scale, &s);
+/* U at A(0,k+1) */
+ }
+ i__1 = k - 1;
+ for (j = 0; j <= i__1; ++j) {
+ classq_(&k, &a[j * lda], &c__1, &scale, &s);
+/* k by k rect. at A(0,0) */
+ }
+ i__1 = k - 2;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = k - j - 1;
+ classq_(&i__2, &a[j + 1 + (j + k) * lda], &c__1, &
+ scale, &s);
+/* L at A(0,k) */
+ }
+ s += s;
+/* double s for the off diagonal elements */
+ l = k * lda;
+/* -> U(k,k) at A(0,k) */
+ i__1 = l;
+ aa = a[i__1].r;
+/* U(k,k) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ l += lda;
+/* -> U(0,0) at A(0,k+1) */
+ i__1 = *n - 1;
+ for (j = k + 1; j <= i__1; ++j) {
+ i__2 = l;
+ aa = a[i__2].r;
+/* -> U(j-k-1,j-k-1) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ i__2 = l + 1;
+ aa = a[i__2].r;
+/* -> U(j,j) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ l = l + lda + 1;
+ }
+/* L=k-1+n*lda */
+/* -> U(k-1,k-1) at A(k-1,n) */
+ i__1 = l;
+ aa = a[i__1].r;
+/* U(k,k) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ } else {
+/* A' is lower */
+ i__1 = k - 1;
+ for (j = 1; j <= i__1; ++j) {
+ classq_(&j, &a[(j + 1) * lda], &c__1, &scale, &s);
+/* U at A(0,1) */
+ }
+ i__1 = *n;
+ for (j = k + 1; j <= i__1; ++j) {
+ classq_(&k, &a[j * lda], &c__1, &scale, &s);
+/* k by k rect. at A(0,k+1) */
+ }
+ i__1 = k - 2;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = k - j - 1;
+ classq_(&i__2, &a[j + 1 + j * lda], &c__1, &scale, &s)
+ ;
+/* L at A(0,0) */
+ }
+ s += s;
+/* double s for the off diagonal elements */
+ l = 0;
+/* -> L(k,k) at A(0,0) */
+ i__1 = l;
+ aa = a[i__1].r;
+/* L(k,k) at A(0,0) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ l = lda;
+/* -> L(0,0) at A(0,1) */
+ i__1 = k - 2;
+ for (i__ = 0; i__ <= i__1; ++i__) {
+ i__2 = l;
+ aa = a[i__2].r;
+/* L(i,i) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ i__2 = l + 1;
+ aa = a[i__2].r;
+/* L(k+i+1,k+i+1) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ l = l + lda + 1;
+ }
+/* L-> k - 1 + k*lda or L(k-1,k-1) at A(k-1,k) */
+ i__1 = l;
+ aa = a[i__1].r;
+/* L(k-1,k-1) at A(k-1,k) */
+ if (aa != 0.f) {
+ if (scale < aa) {
+/* Computing 2nd power */
+ r__1 = scale / aa;
+ s = s * (r__1 * r__1) + 1.f;
+ scale = aa;
+ } else {
+/* Computing 2nd power */
+ r__1 = aa / scale;
+ s += r__1 * r__1;
+ }
+ }
+ }
+ }
+ }
+ value = scale * sqrt(s);
+ }
+
+ ret_val = value;
+ return ret_val;
+
+/* End of CLANHF */
+
+} /* clanhf_ */