#include "f2c.h" #include "blaswrap.h" /* Table of constant values */ static integer c__7 = 7; static doublereal c_b5 = 0.; static doublereal c_b6 = 1.; doublereal dtzt02_(integer *m, integer *n, doublereal *af, integer *lda, doublereal *tau, doublereal *work, integer *lwork) { /* System generated locals */ integer af_dim1, af_offset, i__1, i__2; doublereal ret_val; /* Local variables */ integer i__; doublereal rwork[1]; extern doublereal dlamch_(char *), dlange_(char *, integer *, integer *, doublereal *, integer *, doublereal *); extern /* Subroutine */ int dlaset_(char *, integer *, integer *, doublereal *, doublereal *, doublereal *, integer *), xerbla_(char *, integer *), dlatzm_(char *, integer *, integer *, doublereal *, integer *, doublereal *, doublereal *, doublereal *, integer *, doublereal *); /* -- LAPACK test routine (version 3.1) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* DTZT02 returns */ /* || I - Q'*Q || / ( M * eps) */ /* where the matrix Q is defined by the Householder transformations */ /* generated by DTZRQF. */ /* Arguments */ /* ========= */ /* M (input) INTEGER */ /* The number of rows of the matrix AF. */ /* N (input) INTEGER */ /* The number of columns of the matrix AF. */ /* AF (input) DOUBLE PRECISION array, dimension (LDA,N) */ /* The output of DTZRQF. */ /* LDA (input) INTEGER */ /* The leading dimension of the array AF. */ /* TAU (input) DOUBLE PRECISION array, dimension (M) */ /* Details of the Householder transformations as returned by */ /* DTZRQF. */ /* WORK (workspace) DOUBLE PRECISION array, dimension (LWORK) */ /* LWORK (input) INTEGER */ /* length of WORK array. Must be >= N*N+N */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. Local Arrays .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Executable Statements .. */ /* Parameter adjustments */ af_dim1 = *lda; af_offset = 1 + af_dim1; af -= af_offset; --tau; --work; /* Function Body */ ret_val = 0.; if (*lwork < *n * *n + *n) { xerbla_("DTZT02", &c__7); return ret_val; } /* Quick return if possible */ if (*m <= 0 || *n <= 0) { return ret_val; } /* Q := I */ dlaset_("Full", n, n, &c_b5, &c_b6, &work[1], n); /* Q := P(1) * ... * P(m) * Q */ for (i__ = *m; i__ >= 1; --i__) { i__1 = *n - *m + 1; dlatzm_("Left", &i__1, n, &af[i__ + (*m + 1) * af_dim1], lda, &tau[ i__], &work[i__], &work[*m + 1], n, &work[*n * *n + 1]); /* L10: */ } /* Q := P(m) * ... * P(1) * Q */ i__1 = *m; for (i__ = 1; i__ <= i__1; ++i__) { i__2 = *n - *m + 1; dlatzm_("Left", &i__2, n, &af[i__ + (*m + 1) * af_dim1], lda, &tau[ i__], &work[i__], &work[*m + 1], n, &work[*n * *n + 1]); /* L20: */ } /* Q := Q - I */ i__1 = *n; for (i__ = 1; i__ <= i__1; ++i__) { work[(i__ - 1) * *n + i__] += -1.; /* L30: */ } ret_val = dlange_("One-norm", n, n, &work[1], n, rwork) / ( dlamch_("Epsilon") * (doublereal) max(*m,*n)); return ret_val; /* End of DTZT02 */ } /* dtzt02_ */