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230 lines
5.8 KiB
230 lines
5.8 KiB
/* sorml2.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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/* Subroutine */ int sorml2_(char *side, char *trans, integer *m, integer *n, |
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integer *k, real *a, integer *lda, real *tau, real *c__, integer *ldc, |
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real *work, integer *info) |
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{ |
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/* System generated locals */ |
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integer a_dim1, a_offset, c_dim1, c_offset, i__1, i__2; |
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/* Local variables */ |
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integer i__, i1, i2, i3, ic, jc, mi, ni, nq; |
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real aii; |
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logical left; |
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extern logical lsame_(char *, char *); |
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extern /* Subroutine */ int slarf_(char *, integer *, integer *, real *, |
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integer *, real *, real *, integer *, real *), xerbla_( |
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char *, integer *); |
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logical notran; |
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/* -- LAPACK 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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/* SORML2 overwrites the general real m by n matrix C with */ |
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/* Q * C if SIDE = 'L' and TRANS = 'N', or */ |
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/* Q'* C if SIDE = 'L' and TRANS = 'T', or */ |
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/* C * Q if SIDE = 'R' and TRANS = 'N', or */ |
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/* C * Q' if SIDE = 'R' and TRANS = 'T', */ |
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/* where Q is a real orthogonal matrix defined as the product of k */ |
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/* elementary reflectors */ |
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/* Q = H(k) . . . H(2) H(1) */ |
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/* as returned by SGELQF. Q is of order m if SIDE = 'L' and of order n */ |
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/* if SIDE = 'R'. */ |
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/* Arguments */ |
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/* ========= */ |
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/* SIDE (input) CHARACTER*1 */ |
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/* = 'L': apply Q or Q' from the Left */ |
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/* = 'R': apply Q or Q' from the Right */ |
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/* TRANS (input) CHARACTER*1 */ |
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/* = 'N': apply Q (No transpose) */ |
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/* = 'T': apply Q' (Transpose) */ |
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/* M (input) INTEGER */ |
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/* The number of rows of the matrix C. M >= 0. */ |
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/* N (input) INTEGER */ |
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/* The number of columns of the matrix C. N >= 0. */ |
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/* K (input) INTEGER */ |
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/* The number of elementary reflectors whose product defines */ |
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/* the matrix Q. */ |
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/* If SIDE = 'L', M >= K >= 0; */ |
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/* if SIDE = 'R', N >= K >= 0. */ |
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/* A (input) REAL array, dimension */ |
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/* (LDA,M) if SIDE = 'L', */ |
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/* (LDA,N) if SIDE = 'R' */ |
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/* The i-th row must contain the vector which defines the */ |
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/* elementary reflector H(i), for i = 1,2,...,k, as returned by */ |
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/* SGELQF in the first k rows of its array argument A. */ |
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/* A is modified by the routine but restored on exit. */ |
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/* LDA (input) INTEGER */ |
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/* The leading dimension of the array A. LDA >= max(1,K). */ |
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/* TAU (input) REAL array, dimension (K) */ |
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/* TAU(i) must contain the scalar factor of the elementary */ |
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/* reflector H(i), as returned by SGELQF. */ |
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/* C (input/output) REAL array, dimension (LDC,N) */ |
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/* On entry, the m by n matrix C. */ |
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/* On exit, C is overwritten by Q*C or Q'*C or C*Q' or C*Q. */ |
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/* LDC (input) INTEGER */ |
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/* The leading dimension of the array C. LDC >= max(1,M). */ |
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/* WORK (workspace) REAL array, dimension */ |
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/* (N) if SIDE = 'L', */ |
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/* (M) if SIDE = 'R' */ |
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/* INFO (output) INTEGER */ |
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/* = 0: successful exit */ |
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/* < 0: if INFO = -i, the i-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 arguments */ |
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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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--tau; |
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c_dim1 = *ldc; |
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c_offset = 1 + c_dim1; |
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c__ -= c_offset; |
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--work; |
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/* Function Body */ |
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*info = 0; |
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left = lsame_(side, "L"); |
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notran = lsame_(trans, "N"); |
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/* NQ is the order of Q */ |
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if (left) { |
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nq = *m; |
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} else { |
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nq = *n; |
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} |
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if (! left && ! lsame_(side, "R")) { |
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*info = -1; |
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} else if (! notran && ! lsame_(trans, "T")) { |
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*info = -2; |
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} else if (*m < 0) { |
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*info = -3; |
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} else if (*n < 0) { |
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*info = -4; |
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} else if (*k < 0 || *k > nq) { |
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*info = -5; |
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} else if (*lda < max(1,*k)) { |
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*info = -7; |
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} else if (*ldc < max(1,*m)) { |
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*info = -10; |
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} |
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if (*info != 0) { |
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i__1 = -(*info); |
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xerbla_("SORML2", &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 (*m == 0 || *n == 0 || *k == 0) { |
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return 0; |
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} |
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if (left && notran || ! left && ! notran) { |
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i1 = 1; |
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i2 = *k; |
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i3 = 1; |
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} else { |
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i1 = *k; |
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i2 = 1; |
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i3 = -1; |
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} |
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if (left) { |
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ni = *n; |
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jc = 1; |
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} else { |
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mi = *m; |
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ic = 1; |
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} |
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i__1 = i2; |
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i__2 = i3; |
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for (i__ = i1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += i__2) { |
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if (left) { |
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/* H(i) is applied to C(i:m,1:n) */ |
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mi = *m - i__ + 1; |
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ic = i__; |
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} else { |
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/* H(i) is applied to C(1:m,i:n) */ |
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ni = *n - i__ + 1; |
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jc = i__; |
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} |
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/* Apply H(i) */ |
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aii = a[i__ + i__ * a_dim1]; |
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a[i__ + i__ * a_dim1] = 1.f; |
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slarf_(side, &mi, &ni, &a[i__ + i__ * a_dim1], lda, &tau[i__], &c__[ |
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ic + jc * c_dim1], ldc, &work[1]); |
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a[i__ + i__ * a_dim1] = aii; |
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/* L10: */ |
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} |
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return 0; |
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/* End of SORML2 */ |
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} /* sorml2_ */
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