/* zlanhf.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 zlanhf_(char *norm, char *transr, char *uplo, integer *n, doublecomplex *a, doublereal *work) { /* System generated locals */ integer i__1, i__2; doublereal ret_val, d__1, d__2, d__3; /* Builtin functions */ double z_abs(doublecomplex *), sqrt(doublereal); /* Local variables */ integer i__, j, k, l; doublereal s; integer n1; doublereal aa; integer lda, ifm, noe, ilu; doublereal scale; extern logical lsame_(char *, char *); doublereal value; extern integer idamax_(integer *, doublereal *, integer *); extern /* Subroutine */ int zlassq_(integer *, doublecomplex *, integer *, doublereal *, doublereal *); /* -- 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 */ /* ======= */ /* ZLANHF 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 */ /* =========== */ /* ZLANHF returns the value */ /* ZLANHF = ( 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 ZLANHF 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, ZLANHF 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) DOUBLE PRECISION 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.; 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.; 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; d__2 = value, d__3 = (d__1 = a[i__1].r, abs(d__1)); value = max(d__2,d__3); i__1 = *n - 1; for (i__ = 1; i__ <= i__1; ++i__) { /* Computing MAX */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__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 */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); } i__ = j - 1; /* L(k+j,k+j) */ /* Computing MAX */ i__2 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__2].r, abs(d__1)); value = max(d__2,d__3); i__ = j; /* -> L(j,j) */ /* Computing MAX */ i__2 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__2].r, abs(d__1)); value = max(d__2,d__3); i__2 = *n - 1; for (i__ = j + 1; i__ <= i__2; ++i__) { /* Computing MAX */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__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 */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); } i__ = k + j - 1; /* -> U(i,i) */ /* Computing MAX */ i__2 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__2].r, abs(d__1)); value = max(d__2,d__3); ++i__; /* =k+j; i -> U(j,j) */ /* Computing MAX */ i__2 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__2].r, abs(d__1)); value = max(d__2,d__3); i__2 = *n - 1; for (i__ = k + j + 1; i__ <= i__2; ++i__) { /* Computing MAX */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); } } i__1 = *n - 2; for (i__ = 0; i__ <= i__1; ++i__) { /* Computing MAX */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); /* j=k-1 */ } /* i=n-1 -> U(n-1,n-1) */ /* Computing MAX */ i__1 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__1].r, abs(d__1)); value = max(d__2,d__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 */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); } i__ = j; /* L(i,i) */ /* Computing MAX */ i__2 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__2].r, abs(d__1)); value = max(d__2,d__3); i__ = j + 1; /* L(j+k,j+k) */ /* Computing MAX */ i__2 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__2].r, abs(d__1)); value = max(d__2,d__3); i__2 = k - 1; for (i__ = j + 2; i__ <= i__2; ++i__) { /* Computing MAX */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); } } j = k - 1; i__1 = k - 2; for (i__ = 0; i__ <= i__1; ++i__) { /* Computing MAX */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); } i__ = k - 1; /* -> L(i,i) is at A(i,j) */ /* Computing MAX */ i__1 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__1].r, abs(d__1)); value = max(d__2,d__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 */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__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 */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); } } j = k - 1; /* -> U(j,j) is at A(0,j) */ /* Computing MAX */ i__1 = j * lda; d__2 = value, d__3 = (d__1 = a[i__1].r, abs(d__1)); value = max(d__2,d__3); i__1 = k - 1; for (i__ = 1; i__ <= i__1; ++i__) { /* Computing MAX */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__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 */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); } i__ = j - k; /* -> U(i,i) at A(i,j) */ /* Computing MAX */ i__2 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__2].r, abs(d__1)); value = max(d__2,d__3); i__ = j - k + 1; /* U(j,j) */ /* Computing MAX */ i__2 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__2].r, abs(d__1)); value = max(d__2,d__3); i__2 = k - 1; for (i__ = j - k + 2; i__ <= i__2; ++i__) { /* Computing MAX */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__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; d__2 = value, d__3 = (d__1 = a[i__1].r, abs(d__1)); value = max(d__2,d__3); /* Computing MAX */ i__1 = j + 1 + j * lda; d__2 = value, d__3 = (d__1 = a[i__1].r, abs(d__1)); value = max(d__2,d__3); i__1 = *n; for (i__ = 2; i__ <= i__1; ++i__) { /* Computing MAX */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__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 */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); } i__ = j; /* L(k+j,k+j) */ /* Computing MAX */ i__2 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__2].r, abs(d__1)); value = max(d__2,d__3); i__ = j + 1; /* -> L(j,j) */ /* Computing MAX */ i__2 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__2].r, abs(d__1)); value = max(d__2,d__3); i__2 = *n; for (i__ = j + 2; i__ <= i__2; ++i__) { /* Computing MAX */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__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 */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); } i__ = k + j; /* -> U(i,i) */ /* Computing MAX */ i__2 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__2].r, abs(d__1)); value = max(d__2,d__3); ++i__; /* =k+j+1; i -> U(j,j) */ /* Computing MAX */ i__2 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__2].r, abs(d__1)); value = max(d__2,d__3); i__2 = *n; for (i__ = k + j + 2; i__ <= i__2; ++i__) { /* Computing MAX */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); } } i__1 = *n - 2; for (i__ = 0; i__ <= i__1; ++i__) { /* Computing MAX */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); /* j=k-1 */ } /* i=n-1 -> U(n-1,n-1) */ /* Computing MAX */ i__1 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__1].r, abs(d__1)); value = max(d__2,d__3); i__ = *n; /* -> U(k-1,k-1) */ /* Computing MAX */ i__1 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__1].r, abs(d__1)); value = max(d__2,d__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; d__2 = value, d__3 = (d__1 = a[i__1].r, abs(d__1)); value = max(d__2,d__3); i__1 = k - 1; for (i__ = 1; i__ <= i__1; ++i__) { /* Computing MAX */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__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 */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); } i__ = j - 1; /* L(i,i) */ /* Computing MAX */ i__2 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__2].r, abs(d__1)); value = max(d__2,d__3); i__ = j; /* L(j+k,j+k) */ /* Computing MAX */ i__2 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__2].r, abs(d__1)); value = max(d__2,d__3); i__2 = k - 1; for (i__ = j + 1; i__ <= i__2; ++i__) { /* Computing MAX */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); } } j = k; i__1 = k - 2; for (i__ = 0; i__ <= i__1; ++i__) { /* Computing MAX */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); } i__ = k - 1; /* -> L(i,i) is at A(i,j) */ /* Computing MAX */ i__1 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__1].r, abs(d__1)); value = max(d__2,d__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 */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__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 */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); } } j = k; /* -> U(j,j) is at A(0,j) */ /* Computing MAX */ i__1 = j * lda; d__2 = value, d__3 = (d__1 = a[i__1].r, abs(d__1)); value = max(d__2,d__3); i__1 = k - 1; for (i__ = 1; i__ <= i__1; ++i__) { /* Computing MAX */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__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 */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); } i__ = j - k - 1; /* -> U(i,i) at A(i,j) */ /* Computing MAX */ i__2 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__2].r, abs(d__1)); value = max(d__2,d__3); i__ = j - k; /* U(j,j) */ /* Computing MAX */ i__2 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__2].r, abs(d__1)); value = max(d__2,d__3); i__2 = k - 1; for (i__ = j - k + 1; i__ <= i__2; ++i__) { /* Computing MAX */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); } } j = *n; i__1 = k - 2; for (i__ = 0; i__ <= i__1; ++i__) { /* Computing MAX */ d__1 = value, d__2 = z_abs(&a[i__ + j * lda]); value = max(d__1,d__2); } i__ = k - 1; /* U(k,k) at A(i,j) */ /* Computing MAX */ i__1 = i__ + j * lda; d__2 = value, d__3 = (d__1 = a[i__1].r, abs(d__1)); value = max(d__2,d__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.; } i__1 = k; for (j = 0; j <= i__1; ++j) { s = 0.; i__2 = k + j - 1; for (i__ = 0; i__ <= i__2; ++i__) { aa = z_abs(&a[i__ + j * lda]); /* -> A(i,j+k) */ s += aa; work[i__] += aa; } i__2 = i__ + j * lda; aa = (d__1 = a[i__2].r, abs(d__1)); /* -> A(j+k,j+k) */ work[j + k] = s + aa; if (i__ == k + k) { goto L10; } ++i__; i__2 = i__ + j * lda; aa = (d__1 = a[i__2].r, abs(d__1)); /* -> A(j,j) */ work[j] += aa; s = 0.; i__2 = k - 1; for (l = j + 1; l <= i__2; ++l) { ++i__; aa = z_abs(&a[i__ + j * lda]); /* -> A(l,j) */ s += aa; work[l] += aa; } work[j] += s; } L10: i__ = idamax_(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.; } for (j = k - 1; j >= 0; --j) { s = 0.; i__1 = j - 2; for (i__ = 0; i__ <= i__1; ++i__) { aa = z_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 = (d__1 = a[i__1].r, abs(d__1)); /* -> A(j+k,j+k) */ s += aa; work[i__ + k] += s; /* i=j */ ++i__; } i__1 = i__ + j * lda; aa = (d__1 = a[i__1].r, abs(d__1)); /* -> A(j,j) */ work[j] = aa; s = 0.; i__1 = *n - 1; for (l = j + 1; l <= i__1; ++l) { ++i__; aa = z_abs(&a[i__ + j * lda]); /* -> A(l,j) */ s += aa; work[l] += aa; } work[j] += s; } i__ = idamax_(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.; } i__1 = k - 1; for (j = 0; j <= i__1; ++j) { s = 0.; i__2 = k + j - 1; for (i__ = 0; i__ <= i__2; ++i__) { aa = z_abs(&a[i__ + j * lda]); /* -> A(i,j+k) */ s += aa; work[i__] += aa; } i__2 = i__ + j * lda; aa = (d__1 = a[i__2].r, abs(d__1)); /* -> A(j+k,j+k) */ work[j + k] = s + aa; ++i__; i__2 = i__ + j * lda; aa = (d__1 = a[i__2].r, abs(d__1)); /* -> A(j,j) */ work[j] += aa; s = 0.; i__2 = k - 1; for (l = j + 1; l <= i__2; ++l) { ++i__; aa = z_abs(&a[i__ + j * lda]); /* -> A(l,j) */ s += aa; work[l] += aa; } work[j] += s; } i__ = idamax_(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.; } for (j = k - 1; j >= 0; --j) { s = 0.; i__1 = j - 1; for (i__ = 0; i__ <= i__1; ++i__) { aa = z_abs(&a[i__ + j * lda]); /* -> A(j+k,i+k) */ s += aa; work[i__ + k] += aa; } i__1 = i__ + j * lda; aa = (d__1 = a[i__1].r, abs(d__1)); /* -> A(j+k,j+k) */ s += aa; work[i__ + k] += s; /* i=j */ ++i__; i__1 = i__ + j * lda; aa = (d__1 = a[i__1].r, abs(d__1)); /* -> A(j,j) */ work[j] = aa; s = 0.; i__1 = *n - 1; for (l = j + 1; l <= i__1; ++l) { ++i__; aa = z_abs(&a[i__ + j * lda]); /* -> A(l,j) */ s += aa; work[l] += aa; } work[j] += s; } i__ = idamax_(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.; } i__1 = n1 - 1; for (j = 0; j <= i__1; ++j) { s = 0.; i__2 = k - 1; for (i__ = 0; i__ <= i__2; ++i__) { aa = z_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 = (d__1 = a[i__1].r, abs(d__1)); /* A(k-1,k-1) */ i__1 = k - 1; for (i__ = 1; i__ <= i__1; ++i__) { aa = z_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.; i__2 = j - k - 1; for (i__ = 0; i__ <= i__2; ++i__) { aa = z_abs(&a[i__ + j * lda]); /* A(i,j-k) */ work[i__] += aa; s += aa; } /* i=j-k */ i__2 = i__ + j * lda; aa = (d__1 = a[i__2].r, abs(d__1)); /* A(j-k,j-k) */ s += aa; work[j - k] += s; ++i__; i__2 = i__ + j * lda; s = (d__1 = a[i__2].r, abs(d__1)); /* A(j,j) */ i__2 = *n - 1; for (l = j + 1; l <= i__2; ++l) { ++i__; aa = z_abs(&a[i__ + j * lda]); /* A(j,l) */ work[l] += aa; s += aa; } work[j] += s; } i__ = idamax_(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.; } i__1 = k - 2; for (j = 0; j <= i__1; ++j) { /* process */ s = 0.; i__2 = j - 1; for (i__ = 0; i__ <= i__2; ++i__) { aa = z_abs(&a[i__ + j * lda]); /* A(j,i) */ work[i__] += aa; s += aa; } i__2 = i__ + j * lda; aa = (d__1 = a[i__2].r, abs(d__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 = (d__1 = a[i__2].r, abs(d__1)); s = aa; i__2 = *n - 1; for (l = k + j + 1; l <= i__2; ++l) { ++i__; aa = z_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.; i__1 = k - 2; for (i__ = 0; i__ <= i__1; ++i__) { aa = z_abs(&a[i__ + j * lda]); /* A(k,i) */ work[i__] += aa; s += aa; } /* i=k-1 */ i__1 = i__ + j * lda; aa = (d__1 = a[i__1].r, abs(d__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.; i__2 = k - 1; for (i__ = 0; i__ <= i__2; ++i__) { aa = z_abs(&a[i__ + j * lda]); /* A(j,i) */ work[i__] += aa; s += aa; } work[j] += s; } i__ = idamax_(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.; } i__1 = k - 1; for (j = 0; j <= i__1; ++j) { s = 0.; i__2 = k - 1; for (i__ = 0; i__ <= i__2; ++i__) { aa = z_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 = (d__1 = a[i__1].r, abs(d__1)); /* A(k,k) */ s = aa; i__1 = k - 1; for (i__ = 1; i__ <= i__1; ++i__) { aa = z_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.; i__2 = j - 2 - k; for (i__ = 0; i__ <= i__2; ++i__) { aa = z_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 = (d__1 = a[i__2].r, abs(d__1)); /* A(j-k-1,j-k-1) */ s += aa; work[j - k - 1] += s; ++i__; i__2 = i__ + j * lda; aa = (d__1 = a[i__2].r, abs(d__1)); /* A(j,j) */ s = aa; i__2 = *n - 1; for (l = j + 1; l <= i__2; ++l) { ++i__; aa = z_abs(&a[i__ + j * lda]); /* A(j,l) */ work[l] += aa; s += aa; } work[j] += s; } /* j=n */ s = 0.; i__1 = k - 2; for (i__ = 0; i__ <= i__1; ++i__) { aa = z_abs(&a[i__ + j * lda]); /* A(i,k-1) */ work[i__] += aa; s += aa; } /* i=k-1 */ i__1 = i__ + j * lda; aa = (d__1 = a[i__1].r, abs(d__1)); /* A(k-1,k-1) */ s += aa; work[i__] += s; i__ = idamax_(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.; } /* j=0 is special :process col A(k:n-1,k) */ s = (d__1 = a[0].r, abs(d__1)); /* A(k,k) */ i__1 = k - 1; for (i__ = 1; i__ <= i__1; ++i__) { aa = z_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.; i__2 = j - 2; for (i__ = 0; i__ <= i__2; ++i__) { aa = z_abs(&a[i__ + j * lda]); /* A(j-1,i) */ work[i__] += aa; s += aa; } i__2 = i__ + j * lda; aa = (d__1 = a[i__2].r, abs(d__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 = (d__1 = a[i__2].r, abs(d__1)); s = aa; i__2 = *n - 1; for (l = k + j + 1; l <= i__2; ++l) { ++i__; aa = z_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.; i__1 = k - 2; for (i__ = 0; i__ <= i__1; ++i__) { aa = z_abs(&a[i__ + j * lda]); /* A(k,i) */ work[i__] += aa; s += aa; } /* i=k-1 */ i__1 = i__ + j * lda; aa = (d__1 = a[i__1].r, abs(d__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.; i__2 = k - 1; for (i__ = 0; i__ <= i__2; ++i__) { aa = z_abs(&a[i__ + j * lda]); /* A(j-1,i) */ work[i__] += aa; s += aa; } work[j - 1] += s; } i__ = idamax_(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.; s = 1.; 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; zlassq_(&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; zlassq_(&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.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__1; } } i__2 = l + 1; aa = a[i__2].r; /* U(i,i) */ if (aa != 0.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__1; } } l = l + lda + 1; } i__1 = l; aa = a[i__1].r; /* U(n-1,n-1) */ if (aa != 0.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__1; } } } else { /* ilu=1 & A is lower */ i__1 = k - 1; for (j = 0; j <= i__1; ++j) { i__2 = *n - j - 1; zlassq_(&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) { zlassq_(&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.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__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.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__1; } } i__2 = l + 1; aa = a[i__2].r; /* L(i,i) */ if (aa != 0.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__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) { zlassq_(&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) { zlassq_(&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; zlassq_(&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.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__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.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__1; } } i__2 = l + 1; aa = a[i__2].r; /* -> U(j,j) */ if (aa != 0.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__1; } } l = l + lda + 1; } } else { /* A' is lower */ i__1 = k - 1; for (j = 1; j <= i__1; ++j) { zlassq_(&j, &a[j * lda], &c__1, &scale, &s); /* U at A(0,0) */ } i__1 = *n - 1; for (j = k; j <= i__1; ++j) { zlassq_(&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; zlassq_(&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.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__1; } } i__2 = l + 1; aa = a[i__2].r; /* L(k+i,k+i) */ if (aa != 0.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__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.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__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; zlassq_(&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; zlassq_(&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.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__1; } } i__2 = l + 1; aa = a[i__2].r; /* U(i,i) */ if (aa != 0.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__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; zlassq_(&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) { zlassq_(&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.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__1; } } i__2 = l + 1; aa = a[i__2].r; /* L(i,i) */ if (aa != 0.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__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) { zlassq_(&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) { zlassq_(&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; zlassq_(&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.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__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.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__1; } } i__2 = l + 1; aa = a[i__2].r; /* -> U(j,j) */ if (aa != 0.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__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.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__1; } } } else { /* A' is lower */ i__1 = k - 1; for (j = 1; j <= i__1; ++j) { zlassq_(&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) { zlassq_(&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; zlassq_(&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.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__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.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__1; } } i__2 = l + 1; aa = a[i__2].r; /* L(k+i+1,k+i+1) */ if (aa != 0.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__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.) { if (scale < aa) { /* Computing 2nd power */ d__1 = scale / aa; s = s * (d__1 * d__1) + 1.; scale = aa; } else { /* Computing 2nd power */ d__1 = aa / scale; s += d__1 * d__1; } } } } } value = scale * sqrt(s); } ret_val = value; return ret_val; /* End of ZLANHF */ } /* zlanhf_ */