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217 lines
6.3 KiB
217 lines
6.3 KiB
/* dlauum.f -- translated by f2c (version 20061008). |
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You must link the resulting object file with libf2c: |
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on Microsoft Windows system, link with libf2c.lib; |
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on Linux or Unix systems, link with .../path/to/libf2c.a -lm |
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or, if you install libf2c.a in a standard place, with -lf2c -lm |
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-- in that order, at the end of the command line, as in |
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cc *.o -lf2c -lm |
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Source for libf2c is in /netlib/f2c/libf2c.zip, e.g., |
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http://www.netlib.org/f2c/libf2c.zip |
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*/ |
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#include "clapack.h" |
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/* Table of constant values */ |
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static integer c__1 = 1; |
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static integer c_n1 = -1; |
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static doublereal c_b15 = 1.; |
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/* Subroutine */ int dlauum_(char *uplo, integer *n, doublereal *a, integer * |
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lda, integer *info) |
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{ |
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/* System generated locals */ |
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integer a_dim1, a_offset, i__1, i__2, i__3, i__4; |
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/* Local variables */ |
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integer i__, ib, nb; |
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extern /* Subroutine */ int dgemm_(char *, char *, integer *, integer *, |
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integer *, doublereal *, doublereal *, integer *, doublereal *, |
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integer *, doublereal *, doublereal *, integer *); |
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extern logical lsame_(char *, char *); |
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extern /* Subroutine */ int dtrmm_(char *, char *, char *, char *, |
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integer *, integer *, doublereal *, doublereal *, integer *, |
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doublereal *, integer *); |
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logical upper; |
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extern /* Subroutine */ int dsyrk_(char *, char *, integer *, integer *, |
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doublereal *, doublereal *, integer *, doublereal *, doublereal *, |
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integer *), dlauu2_(char *, integer *, |
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doublereal *, integer *, integer *), xerbla_(char *, |
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integer *); |
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extern integer ilaenv_(integer *, char *, char *, integer *, integer *, |
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integer *, integer *); |
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/* -- LAPACK auxiliary routine (version 3.2) -- */ |
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/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ |
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/* November 2006 */ |
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/* .. Scalar Arguments .. */ |
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/* .. */ |
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/* .. Array Arguments .. */ |
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/* .. */ |
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/* Purpose */ |
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/* ======= */ |
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/* DLAUUM computes the product U * U' or L' * L, where the triangular */ |
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/* factor U or L is stored in the upper or lower triangular part of */ |
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/* the array A. */ |
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/* If UPLO = 'U' or 'u' then the upper triangle of the result is stored, */ |
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/* overwriting the factor U in A. */ |
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/* If UPLO = 'L' or 'l' then the lower triangle of the result is stored, */ |
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/* overwriting the factor L in A. */ |
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/* This is the blocked form of the algorithm, calling Level 3 BLAS. */ |
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/* Arguments */ |
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/* ========= */ |
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/* UPLO (input) CHARACTER*1 */ |
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/* Specifies whether the triangular factor stored in the array A */ |
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/* is upper or lower triangular: */ |
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/* = 'U': Upper triangular */ |
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/* = 'L': Lower triangular */ |
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/* N (input) INTEGER */ |
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/* The order of the triangular factor U or L. N >= 0. */ |
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/* A (input/output) DOUBLE PRECISION array, dimension (LDA,N) */ |
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/* On entry, the triangular factor U or L. */ |
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/* On exit, if UPLO = 'U', the upper triangle of A is */ |
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/* overwritten with the upper triangle of the product U * U'; */ |
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/* if UPLO = 'L', the lower triangle of A is overwritten with */ |
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/* the lower triangle of the product L' * L. */ |
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/* LDA (input) INTEGER */ |
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/* The leading dimension of the array A. LDA >= max(1,N). */ |
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/* INFO (output) INTEGER */ |
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/* = 0: successful exit */ |
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/* < 0: if INFO = -k, the k-th argument had an illegal value */ |
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/* ===================================================================== */ |
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/* .. Parameters .. */ |
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/* .. */ |
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/* .. Local Scalars .. */ |
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/* .. */ |
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/* .. External Functions .. */ |
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/* .. */ |
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/* .. External Subroutines .. */ |
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/* .. */ |
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/* .. Intrinsic Functions .. */ |
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/* .. */ |
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/* .. Executable Statements .. */ |
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/* Test the input parameters. */ |
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/* Parameter adjustments */ |
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a_dim1 = *lda; |
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a_offset = 1 + a_dim1; |
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a -= a_offset; |
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/* Function Body */ |
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*info = 0; |
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upper = lsame_(uplo, "U"); |
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if (! upper && ! lsame_(uplo, "L")) { |
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*info = -1; |
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} else if (*n < 0) { |
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*info = -2; |
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} else if (*lda < max(1,*n)) { |
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*info = -4; |
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} |
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if (*info != 0) { |
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i__1 = -(*info); |
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xerbla_("DLAUUM", &i__1); |
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return 0; |
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} |
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/* Quick return if possible */ |
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if (*n == 0) { |
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return 0; |
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} |
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/* Determine the block size for this environment. */ |
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nb = ilaenv_(&c__1, "DLAUUM", uplo, n, &c_n1, &c_n1, &c_n1); |
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if (nb <= 1 || nb >= *n) { |
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/* Use unblocked code */ |
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dlauu2_(uplo, n, &a[a_offset], lda, info); |
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} else { |
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/* Use blocked code */ |
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if (upper) { |
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/* Compute the product U * U'. */ |
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i__1 = *n; |
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i__2 = nb; |
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for (i__ = 1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += i__2) { |
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/* Computing MIN */ |
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i__3 = nb, i__4 = *n - i__ + 1; |
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ib = min(i__3,i__4); |
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i__3 = i__ - 1; |
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dtrmm_("Right", "Upper", "Transpose", "Non-unit", &i__3, &ib, |
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&c_b15, &a[i__ + i__ * a_dim1], lda, &a[i__ * a_dim1 |
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+ 1], lda) |
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; |
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dlauu2_("Upper", &ib, &a[i__ + i__ * a_dim1], lda, info); |
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if (i__ + ib <= *n) { |
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i__3 = i__ - 1; |
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i__4 = *n - i__ - ib + 1; |
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dgemm_("No transpose", "Transpose", &i__3, &ib, &i__4, & |
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c_b15, &a[(i__ + ib) * a_dim1 + 1], lda, &a[i__ + |
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(i__ + ib) * a_dim1], lda, &c_b15, &a[i__ * |
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a_dim1 + 1], lda); |
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i__3 = *n - i__ - ib + 1; |
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dsyrk_("Upper", "No transpose", &ib, &i__3, &c_b15, &a[ |
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i__ + (i__ + ib) * a_dim1], lda, &c_b15, &a[i__ + |
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i__ * a_dim1], lda); |
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} |
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/* L10: */ |
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} |
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} else { |
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/* Compute the product L' * L. */ |
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i__2 = *n; |
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i__1 = nb; |
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for (i__ = 1; i__1 < 0 ? i__ >= i__2 : i__ <= i__2; i__ += i__1) { |
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/* Computing MIN */ |
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i__3 = nb, i__4 = *n - i__ + 1; |
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ib = min(i__3,i__4); |
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i__3 = i__ - 1; |
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dtrmm_("Left", "Lower", "Transpose", "Non-unit", &ib, &i__3, & |
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c_b15, &a[i__ + i__ * a_dim1], lda, &a[i__ + a_dim1], |
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lda); |
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dlauu2_("Lower", &ib, &a[i__ + i__ * a_dim1], lda, info); |
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if (i__ + ib <= *n) { |
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i__3 = i__ - 1; |
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i__4 = *n - i__ - ib + 1; |
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dgemm_("Transpose", "No transpose", &ib, &i__3, &i__4, & |
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c_b15, &a[i__ + ib + i__ * a_dim1], lda, &a[i__ + |
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ib + a_dim1], lda, &c_b15, &a[i__ + a_dim1], lda); |
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i__3 = *n - i__ - ib + 1; |
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dsyrk_("Lower", "Transpose", &ib, &i__3, &c_b15, &a[i__ + |
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ib + i__ * a_dim1], lda, &c_b15, &a[i__ + i__ * |
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a_dim1], lda); |
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} |
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/* L20: */ |
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} |
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} |
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} |
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return 0; |
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/* End of DLAUUM */ |
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} /* dlauum_ */
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