#include "blaswrap.h" /* dlattr.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" /* Table of constant values */ static integer c__2 = 2; static integer c__1 = 1; static doublereal c_b35 = 2.; static doublereal c_b46 = 1.; static integer c_n1 = -1; /* Subroutine */ int dlattr_(integer *imat, char *uplo, char *trans, char * diag, integer *iseed, integer *n, doublereal *a, integer *lda, doublereal *b, doublereal *work, integer *info) { /* System generated locals */ integer a_dim1, a_offset, i__1, i__2, i__3; doublereal d__1, d__2; /* Builtin functions Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen); double pow_dd(doublereal *, doublereal *), sqrt(doublereal), d_sign( doublereal *, doublereal *); /* Local variables */ static doublereal c__; static integer i__, j; static doublereal s, x, y, z__, ra, rb; static integer kl, ku, iy; static doublereal ulp, sfac; static integer mode; static char path[3], dist[1]; static doublereal unfl; extern /* Subroutine */ int drot_(integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *); static doublereal rexp; static char type__[1]; static doublereal texp, star1, plus1, plus2, bscal; extern /* Subroutine */ int dscal_(integer *, doublereal *, doublereal *, integer *); extern logical lsame_(char *, char *); static doublereal tscal, anorm, bnorm, tleft; extern /* Subroutine */ int dcopy_(integer *, doublereal *, integer *, doublereal *, integer *), drotg_(doublereal *, doublereal *, doublereal *, doublereal *), dswap_(integer *, doublereal *, integer *, doublereal *, integer *); static logical upper; extern /* Subroutine */ int dlatb4_(char *, integer *, integer *, integer *, char *, integer *, integer *, doublereal *, integer *, doublereal *, char *), dlabad_(doublereal *, doublereal *); extern doublereal dlamch_(char *); extern integer idamax_(integer *, doublereal *, integer *); extern doublereal dlarnd_(integer *, integer *); static doublereal bignum, cndnum; extern /* Subroutine */ int dlatms_(integer *, integer *, char *, integer *, char *, doublereal *, integer *, doublereal *, doublereal *, integer *, integer *, char *, doublereal *, integer *, doublereal *, integer *), dlarnv_(integer *, integer *, integer *, doublereal *); static integer jcount; static doublereal smlnum; /* -- LAPACK test routine (version 3.1) -- Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. November 2006 Purpose ======= DLATTR generates a triangular test matrix. IMAT and UPLO uniquely specify the properties of the test matrix, which is returned in the array A. Arguments ========= IMAT (input) INTEGER An integer key describing which matrix to generate for this path. UPLO (input) CHARACTER*1 Specifies whether the matrix A will be upper or lower triangular. = 'U': Upper triangular = 'L': Lower triangular TRANS (input) CHARACTER*1 Specifies whether the matrix or its transpose will be used. = 'N': No transpose = 'T': Transpose = 'C': Conjugate transpose (= Transpose) DIAG (output) CHARACTER*1 Specifies whether or not the matrix A is unit triangular. = 'N': Non-unit triangular = 'U': Unit triangular ISEED (input/output) INTEGER array, dimension (4) The seed vector for the random number generator (used in DLATMS). Modified on exit. N (input) INTEGER The order of the matrix to be generated. A (output) DOUBLE PRECISION array, dimension (LDA,N) The triangular matrix A. If UPLO = 'U', the leading n by n upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading n by n lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = 'U', the diagonal elements of A are set so that A(k,k) = k for 1 <= k <= n. LDA (input) INTEGER The leading dimension of the array A. LDA >= max(1,N). B (output) DOUBLE PRECISION array, dimension (N) The right hand side vector, if IMAT > 10. WORK (workspace) DOUBLE PRECISION array, dimension (3*N) INFO (output) INTEGER = 0: successful exit < 0: if INFO = -k, the k-th argument had an illegal value ===================================================================== Parameter adjustments */ --iseed; a_dim1 = *lda; a_offset = 1 + a_dim1; a -= a_offset; --b; --work; /* Function Body */ s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16); s_copy(path + 1, "TR", (ftnlen)2, (ftnlen)2); unfl = dlamch_("Safe minimum"); ulp = dlamch_("Epsilon") * dlamch_("Base"); smlnum = unfl; bignum = (1. - ulp) / smlnum; dlabad_(&smlnum, &bignum); if (*imat >= 7 && *imat <= 10 || *imat == 18) { *(unsigned char *)diag = 'U'; } else { *(unsigned char *)diag = 'N'; } *info = 0; /* Quick return if N.LE.0. */ if (*n <= 0) { return 0; } /* Call DLATB4 to set parameters for SLATMS. */ upper = lsame_(uplo, "U"); if (upper) { dlatb4_(path, imat, n, n, type__, &kl, &ku, &anorm, &mode, &cndnum, dist); } else { i__1 = -(*imat); dlatb4_(path, &i__1, n, n, type__, &kl, &ku, &anorm, &mode, &cndnum, dist); } /* IMAT <= 6: Non-unit triangular matrix */ if (*imat <= 6) { dlatms_(n, n, dist, &iseed[1], type__, &b[1], &mode, &cndnum, &anorm, &kl, &ku, "No packing", &a[a_offset], lda, &work[1], info); /* IMAT > 6: Unit triangular matrix The diagonal is deliberately set to something other than 1. IMAT = 7: Matrix is the identity */ } else if (*imat == 7) { if (upper) { i__1 = *n; for (j = 1; j <= i__1; ++j) { i__2 = j - 1; for (i__ = 1; i__ <= i__2; ++i__) { a[i__ + j * a_dim1] = 0.; /* L10: */ } a[j + j * a_dim1] = (doublereal) j; /* L20: */ } } else { i__1 = *n; for (j = 1; j <= i__1; ++j) { a[j + j * a_dim1] = (doublereal) j; i__2 = *n; for (i__ = j + 1; i__ <= i__2; ++i__) { a[i__ + j * a_dim1] = 0.; /* L30: */ } /* L40: */ } } /* IMAT > 7: Non-trivial unit triangular matrix Generate a unit triangular matrix T with condition CNDNUM by forming a triangular matrix with known singular values and filling in the zero entries with Givens rotations. */ } else if (*imat <= 10) { if (upper) { i__1 = *n; for (j = 1; j <= i__1; ++j) { i__2 = j - 1; for (i__ = 1; i__ <= i__2; ++i__) { a[i__ + j * a_dim1] = 0.; /* L50: */ } a[j + j * a_dim1] = (doublereal) j; /* L60: */ } } else { i__1 = *n; for (j = 1; j <= i__1; ++j) { a[j + j * a_dim1] = (doublereal) j; i__2 = *n; for (i__ = j + 1; i__ <= i__2; ++i__) { a[i__ + j * a_dim1] = 0.; /* L70: */ } /* L80: */ } } /* Since the trace of a unit triangular matrix is 1, the product of its singular values must be 1. Let s = sqrt(CNDNUM), x = sqrt(s) - 1/sqrt(s), y = sqrt(2/(n-2))*x, and z = x**2. The following triangular matrix has singular values s, 1, 1, ..., 1, 1/s: 1 y y y ... y y z 1 0 0 ... 0 0 y 1 0 ... 0 0 y . ... . . . . . . . 1 0 y 1 y 1 To fill in the zeros, we first multiply by a matrix with small condition number of the form 1 0 0 0 0 ... 1 + * 0 0 ... 1 + 0 0 0 1 + * 0 0 1 + 0 0 ... 1 + 0 1 0 1 Each element marked with a '*' is formed by taking the product of the adjacent elements marked with '+'. The '*'s can be chosen freely, and the '+'s are chosen so that the inverse of T will have elements of the same magnitude as T. If the *'s in both T and inv(T) have small magnitude, T is well conditioned. The two offdiagonals of T are stored in WORK. The product of these two matrices has the form 1 y y y y y . y y z 1 + * 0 0 . 0 0 y 1 + 0 0 . 0 0 y 1 + * . . . . 1 + . . . . . . . . . . . . . 1 + y 1 y 1 Now we multiply by Givens rotations, using the fact that [ c s ] [ 1 w ] [ -c -s ] = [ 1 -w ] [ -s c ] [ 0 1 ] [ s -c ] [ 0 1 ] and [ -c -s ] [ 1 0 ] [ c s ] = [ 1 0 ] [ s -c ] [ w 1 ] [ -s c ] [ -w 1 ] where c = w / sqrt(w**2+4) and s = 2 / sqrt(w**2+4). */ star1 = .25; sfac = .5; plus1 = sfac; i__1 = *n; for (j = 1; j <= i__1; j += 2) { plus2 = star1 / plus1; work[j] = plus1; work[*n + j] = star1; if (j + 1 <= *n) { work[j + 1] = plus2; work[*n + j + 1] = 0.; plus1 = star1 / plus2; rexp = dlarnd_(&c__2, &iseed[1]); star1 *= pow_dd(&sfac, &rexp); if (rexp < 0.) { d__1 = 1. - rexp; star1 = -pow_dd(&sfac, &d__1); } else { d__1 = rexp + 1.; star1 = pow_dd(&sfac, &d__1); } } /* L90: */ } x = sqrt(cndnum) - 1 / sqrt(cndnum); if (*n > 2) { y = sqrt(2. / (*n - 2)) * x; } else { y = 0.; } z__ = x * x; if (upper) { if (*n > 3) { i__1 = *n - 3; i__2 = *lda + 1; dcopy_(&i__1, &work[1], &c__1, &a[a_dim1 * 3 + 2], &i__2); if (*n > 4) { i__1 = *n - 4; i__2 = *lda + 1; dcopy_(&i__1, &work[*n + 1], &c__1, &a[(a_dim1 << 2) + 2], &i__2); } } i__1 = *n - 1; for (j = 2; j <= i__1; ++j) { a[j * a_dim1 + 1] = y; a[j + *n * a_dim1] = y; /* L100: */ } a[*n * a_dim1 + 1] = z__; } else { if (*n > 3) { i__1 = *n - 3; i__2 = *lda + 1; dcopy_(&i__1, &work[1], &c__1, &a[(a_dim1 << 1) + 3], &i__2); if (*n > 4) { i__1 = *n - 4; i__2 = *lda + 1; dcopy_(&i__1, &work[*n + 1], &c__1, &a[(a_dim1 << 1) + 4], &i__2); } } i__1 = *n - 1; for (j = 2; j <= i__1; ++j) { a[j + a_dim1] = y; a[*n + j * a_dim1] = y; /* L110: */ } a[*n + a_dim1] = z__; } /* Fill in the zeros using Givens rotations. */ if (upper) { i__1 = *n - 1; for (j = 1; j <= i__1; ++j) { ra = a[j + (j + 1) * a_dim1]; rb = 2.; drotg_(&ra, &rb, &c__, &s); /* Multiply by [ c s; -s c] on the left. */ if (*n > j + 1) { i__2 = *n - j - 1; drot_(&i__2, &a[j + (j + 2) * a_dim1], lda, &a[j + 1 + (j + 2) * a_dim1], lda, &c__, &s); } /* Multiply by [-c -s; s -c] on the right. */ if (j > 1) { i__2 = j - 1; d__1 = -c__; d__2 = -s; drot_(&i__2, &a[(j + 1) * a_dim1 + 1], &c__1, &a[j * a_dim1 + 1], &c__1, &d__1, &d__2); } /* Negate A(J,J+1). */ a[j + (j + 1) * a_dim1] = -a[j + (j + 1) * a_dim1]; /* L120: */ } } else { i__1 = *n - 1; for (j = 1; j <= i__1; ++j) { ra = a[j + 1 + j * a_dim1]; rb = 2.; drotg_(&ra, &rb, &c__, &s); /* Multiply by [ c -s; s c] on the right. */ if (*n > j + 1) { i__2 = *n - j - 1; d__1 = -s; drot_(&i__2, &a[j + 2 + (j + 1) * a_dim1], &c__1, &a[j + 2 + j * a_dim1], &c__1, &c__, &d__1); } /* Multiply by [-c s; -s -c] on the left. */ if (j > 1) { i__2 = j - 1; d__1 = -c__; drot_(&i__2, &a[j + a_dim1], lda, &a[j + 1 + a_dim1], lda, &d__1, &s); } /* Negate A(J+1,J). */ a[j + 1 + j * a_dim1] = -a[j + 1 + j * a_dim1]; /* L130: */ } } /* IMAT > 10: Pathological test cases. These triangular matrices are badly scaled or badly conditioned, so when used in solving a triangular system they may cause overflow in the solution vector. */ } else if (*imat == 11) { /* Type 11: Generate a triangular matrix with elements between -1 and 1. Give the diagonal norm 2 to make it well-conditioned. Make the right hand side large so that it requires scaling. */ if (upper) { i__1 = *n; for (j = 1; j <= i__1; ++j) { dlarnv_(&c__2, &iseed[1], &j, &a[j * a_dim1 + 1]); a[j + j * a_dim1] = d_sign(&c_b35, &a[j + j * a_dim1]); /* L140: */ } } else { i__1 = *n; for (j = 1; j <= i__1; ++j) { i__2 = *n - j + 1; dlarnv_(&c__2, &iseed[1], &i__2, &a[j + j * a_dim1]); a[j + j * a_dim1] = d_sign(&c_b35, &a[j + j * a_dim1]); /* L150: */ } } /* Set the right hand side so that the largest value is BIGNUM. */ dlarnv_(&c__2, &iseed[1], n, &b[1]); iy = idamax_(n, &b[1], &c__1); bnorm = (d__1 = b[iy], abs(d__1)); bscal = bignum / max(1.,bnorm); dscal_(n, &bscal, &b[1], &c__1); } else if (*imat == 12) { /* Type 12: Make the first diagonal element in the solve small to cause immediate overflow when dividing by T(j,j). In type 12, the offdiagonal elements are small (CNORM(j) < 1). */ dlarnv_(&c__2, &iseed[1], n, &b[1]); /* Computing MAX */ d__1 = 1., d__2 = (doublereal) (*n - 1); tscal = 1. / max(d__1,d__2); if (upper) { i__1 = *n; for (j = 1; j <= i__1; ++j) { dlarnv_(&c__2, &iseed[1], &j, &a[j * a_dim1 + 1]); i__2 = j - 1; dscal_(&i__2, &tscal, &a[j * a_dim1 + 1], &c__1); a[j + j * a_dim1] = d_sign(&c_b46, &a[j + j * a_dim1]); /* L160: */ } a[*n + *n * a_dim1] = smlnum * a[*n + *n * a_dim1]; } else { i__1 = *n; for (j = 1; j <= i__1; ++j) { i__2 = *n - j + 1; dlarnv_(&c__2, &iseed[1], &i__2, &a[j + j * a_dim1]); if (*n > j) { i__2 = *n - j; dscal_(&i__2, &tscal, &a[j + 1 + j * a_dim1], &c__1); } a[j + j * a_dim1] = d_sign(&c_b46, &a[j + j * a_dim1]); /* L170: */ } a[a_dim1 + 1] = smlnum * a[a_dim1 + 1]; } } else if (*imat == 13) { /* Type 13: Make the first diagonal element in the solve small to cause immediate overflow when dividing by T(j,j). In type 13, the offdiagonal elements are O(1) (CNORM(j) > 1). */ dlarnv_(&c__2, &iseed[1], n, &b[1]); if (upper) { i__1 = *n; for (j = 1; j <= i__1; ++j) { dlarnv_(&c__2, &iseed[1], &j, &a[j * a_dim1 + 1]); a[j + j * a_dim1] = d_sign(&c_b46, &a[j + j * a_dim1]); /* L180: */ } a[*n + *n * a_dim1] = smlnum * a[*n + *n * a_dim1]; } else { i__1 = *n; for (j = 1; j <= i__1; ++j) { i__2 = *n - j + 1; dlarnv_(&c__2, &iseed[1], &i__2, &a[j + j * a_dim1]); a[j + j * a_dim1] = d_sign(&c_b46, &a[j + j * a_dim1]); /* L190: */ } a[a_dim1 + 1] = smlnum * a[a_dim1 + 1]; } } else if (*imat == 14) { /* Type 14: T is diagonal with small numbers on the diagonal to make the growth factor underflow, but a small right hand side chosen so that the solution does not overflow. */ if (upper) { jcount = 1; for (j = *n; j >= 1; --j) { i__1 = j - 1; for (i__ = 1; i__ <= i__1; ++i__) { a[i__ + j * a_dim1] = 0.; /* L200: */ } if (jcount <= 2) { a[j + j * a_dim1] = smlnum; } else { a[j + j * a_dim1] = 1.; } ++jcount; if (jcount > 4) { jcount = 1; } /* L210: */ } } else { jcount = 1; i__1 = *n; for (j = 1; j <= i__1; ++j) { i__2 = *n; for (i__ = j + 1; i__ <= i__2; ++i__) { a[i__ + j * a_dim1] = 0.; /* L220: */ } if (jcount <= 2) { a[j + j * a_dim1] = smlnum; } else { a[j + j * a_dim1] = 1.; } ++jcount; if (jcount > 4) { jcount = 1; } /* L230: */ } } /* Set the right hand side alternately zero and small. */ if (upper) { b[1] = 0.; for (i__ = *n; i__ >= 2; i__ += -2) { b[i__] = 0.; b[i__ - 1] = smlnum; /* L240: */ } } else { b[*n] = 0.; i__1 = *n - 1; for (i__ = 1; i__ <= i__1; i__ += 2) { b[i__] = 0.; b[i__ + 1] = smlnum; /* L250: */ } } } else if (*imat == 15) { /* Type 15: Make the diagonal elements small to cause gradual overflow when dividing by T(j,j). To control the amount of scaling needed, the matrix is bidiagonal. Computing MAX */ d__1 = 1., d__2 = (doublereal) (*n - 1); texp = 1. / max(d__1,d__2); tscal = pow_dd(&smlnum, &texp); dlarnv_(&c__2, &iseed[1], n, &b[1]); if (upper) { i__1 = *n; for (j = 1; j <= i__1; ++j) { i__2 = j - 2; for (i__ = 1; i__ <= i__2; ++i__) { a[i__ + j * a_dim1] = 0.; /* L260: */ } if (j > 1) { a[j - 1 + j * a_dim1] = -1.; } a[j + j * a_dim1] = tscal; /* L270: */ } b[*n] = 1.; } else { i__1 = *n; for (j = 1; j <= i__1; ++j) { i__2 = *n; for (i__ = j + 2; i__ <= i__2; ++i__) { a[i__ + j * a_dim1] = 0.; /* L280: */ } if (j < *n) { a[j + 1 + j * a_dim1] = -1.; } a[j + j * a_dim1] = tscal; /* L290: */ } b[1] = 1.; } } else if (*imat == 16) { /* Type 16: One zero diagonal element. */ iy = *n / 2 + 1; if (upper) { i__1 = *n; for (j = 1; j <= i__1; ++j) { dlarnv_(&c__2, &iseed[1], &j, &a[j * a_dim1 + 1]); if (j != iy) { a[j + j * a_dim1] = d_sign(&c_b35, &a[j + j * a_dim1]); } else { a[j + j * a_dim1] = 0.; } /* L300: */ } } else { i__1 = *n; for (j = 1; j <= i__1; ++j) { i__2 = *n - j + 1; dlarnv_(&c__2, &iseed[1], &i__2, &a[j + j * a_dim1]); if (j != iy) { a[j + j * a_dim1] = d_sign(&c_b35, &a[j + j * a_dim1]); } else { a[j + j * a_dim1] = 0.; } /* L310: */ } } dlarnv_(&c__2, &iseed[1], n, &b[1]); dscal_(n, &c_b35, &b[1], &c__1); } else if (*imat == 17) { /* Type 17: Make the offdiagonal elements large to cause overflow when adding a column of T. In the non-transposed case, the matrix is constructed to cause overflow when adding a column in every other step. */ tscal = unfl / ulp; tscal = (1. - ulp) / tscal; i__1 = *n; for (j = 1; j <= i__1; ++j) { i__2 = *n; for (i__ = 1; i__ <= i__2; ++i__) { a[i__ + j * a_dim1] = 0.; /* L320: */ } /* L330: */ } texp = 1.; if (upper) { for (j = *n; j >= 2; j += -2) { a[j * a_dim1 + 1] = -tscal / (doublereal) (*n + 1); a[j + j * a_dim1] = 1.; b[j] = texp * (1. - ulp); a[(j - 1) * a_dim1 + 1] = -(tscal / (doublereal) (*n + 1)) / ( doublereal) (*n + 2); a[j - 1 + (j - 1) * a_dim1] = 1.; b[j - 1] = texp * (doublereal) (*n * *n + *n - 1); texp *= 2.; /* L340: */ } b[1] = (doublereal) (*n + 1) / (doublereal) (*n + 2) * tscal; } else { i__1 = *n - 1; for (j = 1; j <= i__1; j += 2) { a[*n + j * a_dim1] = -tscal / (doublereal) (*n + 1); a[j + j * a_dim1] = 1.; b[j] = texp * (1. - ulp); a[*n + (j + 1) * a_dim1] = -(tscal / (doublereal) (*n + 1)) / (doublereal) (*n + 2); a[j + 1 + (j + 1) * a_dim1] = 1.; b[j + 1] = texp * (doublereal) (*n * *n + *n - 1); texp *= 2.; /* L350: */ } b[*n] = (doublereal) (*n + 1) / (doublereal) (*n + 2) * tscal; } } else if (*imat == 18) { /* Type 18: Generate a unit triangular matrix with elements between -1 and 1, and make the right hand side large so that it requires scaling. */ if (upper) { i__1 = *n; for (j = 1; j <= i__1; ++j) { i__2 = j - 1; dlarnv_(&c__2, &iseed[1], &i__2, &a[j * a_dim1 + 1]); a[j + j * a_dim1] = 0.; /* L360: */ } } else { i__1 = *n; for (j = 1; j <= i__1; ++j) { if (j < *n) { i__2 = *n - j; dlarnv_(&c__2, &iseed[1], &i__2, &a[j + 1 + j * a_dim1]); } a[j + j * a_dim1] = 0.; /* L370: */ } } /* Set the right hand side so that the largest value is BIGNUM. */ dlarnv_(&c__2, &iseed[1], n, &b[1]); iy = idamax_(n, &b[1], &c__1); bnorm = (d__1 = b[iy], abs(d__1)); bscal = bignum / max(1.,bnorm); dscal_(n, &bscal, &b[1], &c__1); } else if (*imat == 19) { /* Type 19: Generate a triangular matrix with elements between BIGNUM/(n-1) and BIGNUM so that at least one of the column norms will exceed BIGNUM. 1/3/91: DLATRS no longer can handle this case Computing MAX */ d__1 = 1., d__2 = (doublereal) (*n - 1); tleft = bignum / max(d__1,d__2); /* Computing MAX */ d__1 = 1., d__2 = (doublereal) (*n); tscal = bignum * ((doublereal) (*n - 1) / max(d__1,d__2)); if (upper) { i__1 = *n; for (j = 1; j <= i__1; ++j) { dlarnv_(&c__2, &iseed[1], &j, &a[j * a_dim1 + 1]); i__2 = j; for (i__ = 1; i__ <= i__2; ++i__) { a[i__ + j * a_dim1] = d_sign(&tleft, &a[i__ + j * a_dim1]) + tscal * a[i__ + j * a_dim1]; /* L380: */ } /* L390: */ } } else { i__1 = *n; for (j = 1; j <= i__1; ++j) { i__2 = *n - j + 1; dlarnv_(&c__2, &iseed[1], &i__2, &a[j + j * a_dim1]); i__2 = *n; for (i__ = j; i__ <= i__2; ++i__) { a[i__ + j * a_dim1] = d_sign(&tleft, &a[i__ + j * a_dim1]) + tscal * a[i__ + j * a_dim1]; /* L400: */ } /* L410: */ } } dlarnv_(&c__2, &iseed[1], n, &b[1]); dscal_(n, &c_b35, &b[1], &c__1); } /* Flip the matrix if the transpose will be used. */ if (! lsame_(trans, "N")) { if (upper) { i__1 = *n / 2; for (j = 1; j <= i__1; ++j) { i__2 = *n - (j << 1) + 1; dswap_(&i__2, &a[j + j * a_dim1], lda, &a[j + 1 + (*n - j + 1) * a_dim1], &c_n1); /* L420: */ } } else { i__1 = *n / 2; for (j = 1; j <= i__1; ++j) { i__2 = *n - (j << 1) + 1; i__3 = -(*lda); dswap_(&i__2, &a[j + j * a_dim1], &c__1, &a[*n - j + 1 + (j + 1) * a_dim1], &i__3); /* L430: */ } } } return 0; /* End of DLATTR */ } /* dlattr_ */