#include "blaswrap.h" #include "f2c.h" /* Subroutine */ int sopgtr_(char *uplo, integer *n, real *ap, real *tau, real *q, integer *ldq, real *work, integer *info) { /* -- LAPACK routine (version 3.1) -- Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. November 2006 Purpose ======= SOPGTR generates a real orthogonal matrix Q which is defined as the product of n-1 elementary reflectors H(i) of order n, as returned by SSPTRD 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 SSPTRD; = 'L': Lower triangular packed storage used in previous call to SSPTRD. N (input) INTEGER The order of the matrix Q. N >= 0. AP (input) REAL array, dimension (N*(N+1)/2) The vectors which define the elementary reflectors, as returned by SSPTRD. TAU (input) REAL array, dimension (N-1) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SSPTRD. Q (output) REAL array, dimension (LDQ,N) The N-by-N orthogonal matrix Q. LDQ (input) INTEGER The leading dimension of the array Q. LDQ >= max(1,N). WORK (workspace) REAL 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; /* Local variables */ static integer i__, j, ij; extern logical lsame_(char *, char *); static integer iinfo; static logical upper; extern /* Subroutine */ int sorg2l_(integer *, integer *, integer *, real *, integer *, real *, real *, integer *), sorg2r_(integer *, integer *, integer *, real *, integer *, real *, real *, integer * ), xerbla_(char *, integer *); --ap; --tau; q_dim1 = *ldq; q_offset = 1 + q_dim1; 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_("SOPGTR", &i__1); return 0; } /* Quick return if possible */ if (*n == 0) { return 0; } if (upper) { /* Q was determined by a call to SSPTRD 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__) { q[i__ + j * q_dim1] = ap[ij]; ++ij; /* L10: */ } ij += 2; q[*n + j * q_dim1] = 0.f; /* L20: */ } i__1 = *n - 1; for (i__ = 1; i__ <= i__1; ++i__) { q[i__ + *n * q_dim1] = 0.f; /* L30: */ } q[*n + *n * q_dim1] = 1.f; /* Generate Q(1:n-1,1:n-1) */ i__1 = *n - 1; i__2 = *n - 1; i__3 = *n - 1; sorg2l_(&i__1, &i__2, &i__3, &q[q_offset], ldq, &tau[1], &work[1], & iinfo); } else { /* Q was determined by a call to SSPTRD 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 */ q[q_dim1 + 1] = 1.f; i__1 = *n; for (i__ = 2; i__ <= i__1; ++i__) { q[i__ + q_dim1] = 0.f; /* L40: */ } ij = 3; i__1 = *n; for (j = 2; j <= i__1; ++j) { q[j * q_dim1 + 1] = 0.f; i__2 = *n; for (i__ = j + 1; i__ <= i__2; ++i__) { q[i__ + j * q_dim1] = ap[ij]; ++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; sorg2r_(&i__1, &i__2, &i__3, &q[(q_dim1 << 1) + 2], ldq, &tau[1], &work[1], &iinfo); } } return 0; /* End of SOPGTR */ } /* sopgtr_ */