#include "f2c.h" #include "blaswrap.h" /* Table of constant values */ static doublecomplex c_b1 = {0.,0.}; static doublecomplex c_b2 = {1.,0.}; /* Subroutine */ int zspt01_(char *uplo, integer *n, doublecomplex *a, doublecomplex *afac, integer *ipiv, doublecomplex *c__, integer *ldc, doublereal *rwork, doublereal *resid) { /* System generated locals */ integer c_dim1, c_offset, i__1, i__2, i__3, i__4, i__5; doublecomplex z__1; /* Local variables */ integer i__, j, jc; doublereal eps; integer info; extern logical lsame_(char *, char *); doublereal anorm; extern doublereal dlamch_(char *); extern /* Subroutine */ int zlaset_(char *, integer *, integer *, doublecomplex *, doublecomplex *, doublecomplex *, integer *); extern doublereal zlansp_(char *, char *, integer *, doublecomplex *, doublereal *); extern /* Subroutine */ int zlavsp_(char *, char *, char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, integer *); extern doublereal zlansy_(char *, char *, integer *, doublecomplex *, 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 */ /* ======= */ /* ZSPT01 reconstructs a symmetric indefinite packed matrix A from its */ /* diagonal pivoting factorization A = U*D*U' or A = L*D*L' and computes */ /* the residual */ /* norm( C - A ) / ( N * norm(A) * EPS ), */ /* where C is the reconstructed matrix and EPS is the machine epsilon. */ /* Arguments */ /* ========== */ /* UPLO (input) CHARACTER*1 */ /* Specifies whether the upper or lower triangular part of the */ /* Hermitian matrix A is stored: */ /* = 'U': Upper triangular */ /* = 'L': Lower triangular */ /* N (input) INTEGER */ /* The order of the matrix A. N >= 0. */ /* A (input) COMPLEX*16 array, dimension (N*(N+1)/2) */ /* The original symmetric matrix A, stored as a packed */ /* triangular matrix. */ /* AFAC (input) COMPLEX*16 array, dimension (N*(N+1)/2) */ /* The factored form of the matrix A, stored as a packed */ /* triangular matrix. AFAC contains the block diagonal matrix D */ /* and the multipliers used to obtain the factor L or U from the */ /* L*D*L' or U*D*U' factorization as computed by ZSPTRF. */ /* IPIV (input) INTEGER array, dimension (N) */ /* The pivot indices from ZSPTRF. */ /* C (workspace) COMPLEX*16 array, dimension (LDC,N) */ /* LDC (integer) INTEGER */ /* The leading dimension of the array C. LDC >= max(1,N). */ /* RWORK (workspace) DOUBLE PRECISION array, dimension (N) */ /* RESID (output) DOUBLE PRECISION */ /* If UPLO = 'L', norm(L*D*L' - A) / ( N * norm(A) * EPS ) */ /* If UPLO = 'U', norm(U*D*U' - A) / ( N * norm(A) * EPS ) */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Executable Statements .. */ /* Quick exit if N = 0. */ /* Parameter adjustments */ --a; --afac; --ipiv; c_dim1 = *ldc; c_offset = 1 + c_dim1; c__ -= c_offset; --rwork; /* Function Body */ if (*n <= 0) { *resid = 0.; return 0; } /* Determine EPS and the norm of A. */ eps = dlamch_("Epsilon"); anorm = zlansp_("1", uplo, n, &a[1], &rwork[1]); /* Initialize C to the identity matrix. */ zlaset_("Full", n, n, &c_b1, &c_b2, &c__[c_offset], ldc); /* Call ZLAVSP to form the product D * U' (or D * L' ). */ zlavsp_(uplo, "Transpose", "Non-unit", n, n, &afac[1], &ipiv[1], &c__[ c_offset], ldc, &info); /* Call ZLAVSP again to multiply by U ( or L ). */ zlavsp_(uplo, "No transpose", "Unit", n, n, &afac[1], &ipiv[1], &c__[ c_offset], ldc, &info); /* Compute the difference C - A . */ if (lsame_(uplo, "U")) { jc = 0; i__1 = *n; for (j = 1; j <= i__1; ++j) { i__2 = j; for (i__ = 1; i__ <= i__2; ++i__) { i__3 = i__ + j * c_dim1; i__4 = i__ + j * c_dim1; i__5 = jc + i__; z__1.r = c__[i__4].r - a[i__5].r, z__1.i = c__[i__4].i - a[ i__5].i; c__[i__3].r = z__1.r, c__[i__3].i = z__1.i; /* L10: */ } jc += j; /* L20: */ } } else { jc = 1; i__1 = *n; for (j = 1; j <= i__1; ++j) { i__2 = *n; for (i__ = j; i__ <= i__2; ++i__) { i__3 = i__ + j * c_dim1; i__4 = i__ + j * c_dim1; i__5 = jc + i__ - j; z__1.r = c__[i__4].r - a[i__5].r, z__1.i = c__[i__4].i - a[ i__5].i; c__[i__3].r = z__1.r, c__[i__3].i = z__1.i; /* L30: */ } jc = jc + *n - j + 1; /* L40: */ } } /* Compute norm( C - A ) / ( N * norm(A) * EPS ) */ *resid = zlansy_("1", uplo, n, &c__[c_offset], ldc, &rwork[1]); if (anorm <= 0.) { if (*resid != 0.) { *resid = 1. / eps; } } else { *resid = *resid / (doublereal) (*n) / anorm / eps; } return 0; /* End of ZSPT01 */ } /* zspt01_ */