#include "blaswrap.h" #include "f2c.h" /* Subroutine */ int cupgtr_(char *uplo, integer *n, complex *ap, complex * tau, complex *q, integer *ldq, complex *work, integer *info) { /* -- LAPACK routine (version 3.0) -- Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., Courant Institute, Argonne National Lab, and Rice University September 30, 1994 Purpose ======= CUPGTR generates a complex unitary matrix Q which is defined as the product of n-1 elementary reflectors H(i) of order n, as returned by CHPTRD using packed storage: if UPLO = 'U', Q = H(n-1) . . . H(2) H(1), if UPLO = 'L', Q = H(1) H(2) . . . H(n-1). Arguments ========= UPLO (input) CHARACTER*1 = 'U': Upper triangular packed storage used in previous call to CHPTRD; = 'L': Lower triangular packed storage used in previous call to CHPTRD. N (input) INTEGER The order of the matrix Q. N >= 0. AP (input) COMPLEX array, dimension (N*(N+1)/2) The vectors which define the elementary reflectors, as returned by CHPTRD. TAU (input) COMPLEX array, dimension (N-1) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by CHPTRD. Q (output) COMPLEX array, dimension (LDQ,N) The N-by-N unitary matrix Q. LDQ (input) INTEGER The leading dimension of the array Q. LDQ >= max(1,N). WORK (workspace) COMPLEX array, dimension (N-1) INFO (output) INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value ===================================================================== Test the input arguments Parameter adjustments */ /* System generated locals */ integer q_dim1, q_offset, i__1, i__2, i__3, i__4; /* Local variables */ static integer i__, j; extern logical lsame_(char *, char *); static integer iinfo; static logical upper; extern /* Subroutine */ int cung2l_(integer *, integer *, integer *, complex *, integer *, complex *, complex *, integer *), cung2r_( integer *, integer *, integer *, complex *, integer *, complex *, complex *, integer *); static integer ij; extern /* Subroutine */ int xerbla_(char *, integer *); #define q_subscr(a_1,a_2) (a_2)*q_dim1 + a_1 #define q_ref(a_1,a_2) q[q_subscr(a_1,a_2)] --ap; --tau; q_dim1 = *ldq; q_offset = 1 + q_dim1 * 1; q -= q_offset; --work; /* Function Body */ *info = 0; upper = lsame_(uplo, "U"); if (! upper && ! lsame_(uplo, "L")) { *info = -1; } else if (*n < 0) { *info = -2; } else if (*ldq < max(1,*n)) { *info = -6; } if (*info != 0) { i__1 = -(*info); xerbla_("CUPGTR", &i__1); return 0; } /* Quick return if possible */ if (*n == 0) { return 0; } if (upper) { /* Q was determined by a call to CHPTRD with UPLO = 'U' Unpack the vectors which define the elementary reflectors and set the last row and column of Q equal to those of the unit matrix */ ij = 2; i__1 = *n - 1; for (j = 1; j <= i__1; ++j) { i__2 = j - 1; for (i__ = 1; i__ <= i__2; ++i__) { i__3 = q_subscr(i__, j); i__4 = ij; q[i__3].r = ap[i__4].r, q[i__3].i = ap[i__4].i; ++ij; /* L10: */ } ij += 2; i__2 = q_subscr(*n, j); q[i__2].r = 0.f, q[i__2].i = 0.f; /* L20: */ } i__1 = *n - 1; for (i__ = 1; i__ <= i__1; ++i__) { i__2 = q_subscr(i__, *n); q[i__2].r = 0.f, q[i__2].i = 0.f; /* L30: */ } i__1 = q_subscr(*n, *n); q[i__1].r = 1.f, q[i__1].i = 0.f; /* Generate Q(1:n-1,1:n-1) */ i__1 = *n - 1; i__2 = *n - 1; i__3 = *n - 1; cung2l_(&i__1, &i__2, &i__3, &q[q_offset], ldq, &tau[1], &work[1], & iinfo); } else { /* Q was determined by a call to CHPTRD with UPLO = 'L'. Unpack the vectors which define the elementary reflectors and set the first row and column of Q equal to those of the unit matrix */ i__1 = q_subscr(1, 1); q[i__1].r = 1.f, q[i__1].i = 0.f; i__1 = *n; for (i__ = 2; i__ <= i__1; ++i__) { i__2 = q_subscr(i__, 1); q[i__2].r = 0.f, q[i__2].i = 0.f; /* L40: */ } ij = 3; i__1 = *n; for (j = 2; j <= i__1; ++j) { i__2 = q_subscr(1, j); q[i__2].r = 0.f, q[i__2].i = 0.f; i__2 = *n; for (i__ = j + 1; i__ <= i__2; ++i__) { i__3 = q_subscr(i__, j); i__4 = ij; q[i__3].r = ap[i__4].r, q[i__3].i = ap[i__4].i; ++ij; /* L50: */ } ij += 2; /* L60: */ } if (*n > 1) { /* Generate Q(2:n,2:n) */ i__1 = *n - 1; i__2 = *n - 1; i__3 = *n - 1; cung2r_(&i__1, &i__2, &i__3, &q_ref(2, 2), ldq, &tau[1], &work[1], &iinfo); } } return 0; /* End of CUPGTR */ } /* cupgtr_ */ #undef q_ref #undef q_subscr