#ifdef __cplusplus extern "C" { #endif #include "lmp_f2c.h" static doublereal c_b3 = -1.; static integer c__1 = 1; int dlaed8_(integer *icompq, integer *k, integer *n, integer *qsiz, doublereal *d__, doublereal *q, integer *ldq, integer *indxq, doublereal *rho, integer *cutpnt, doublereal *z__, doublereal *dlambda, doublereal *q2, integer *ldq2, doublereal *w, integer *perm, integer *givptr, integer *givcol, doublereal *givnum, integer *indxp, integer *indx, integer *info) { integer q_dim1, q_offset, q2_dim1, q2_offset, i__1; doublereal d__1; double sqrt(doublereal); doublereal c__; integer i__, j; doublereal s, t; integer k2, n1, n2, jp, n1p1; doublereal eps, tau, tol; integer jlam, imax, jmax; extern int drot_(integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *), dscal_(integer *, doublereal *, doublereal *, integer *), dcopy_(integer *, doublereal *, integer *, doublereal *, integer *); extern doublereal dlapy2_(doublereal *, doublereal *), dlamch_(char *, ftnlen); extern integer idamax_(integer *, doublereal *, integer *); extern int dlamrg_(integer *, integer *, doublereal *, integer *, integer *, integer *), dlacpy_(char *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, ftnlen), xerbla_(char *, integer *, ftnlen); --d__; q_dim1 = *ldq; q_offset = 1 + q_dim1; q -= q_offset; --indxq; --z__; --dlambda; q2_dim1 = *ldq2; q2_offset = 1 + q2_dim1; q2 -= q2_offset; --w; --perm; givcol -= 3; givnum -= 3; --indxp; --indx; *info = 0; if (*icompq < 0 || *icompq > 1) { *info = -1; } else if (*n < 0) { *info = -3; } else if (*icompq == 1 && *qsiz < *n) { *info = -4; } else if (*ldq < max(1, *n)) { *info = -7; } else if (*cutpnt < min(1, *n) || *cutpnt > *n) { *info = -10; } else if (*ldq2 < max(1, *n)) { *info = -14; } if (*info != 0) { i__1 = -(*info); xerbla_((char *)"DLAED8", &i__1, (ftnlen)6); return 0; } *givptr = 0; if (*n == 0) { return 0; } n1 = *cutpnt; n2 = *n - n1; n1p1 = n1 + 1; if (*rho < 0.) { dscal_(&n2, &c_b3, &z__[n1p1], &c__1); } t = 1. / sqrt(2.); i__1 = *n; for (j = 1; j <= i__1; ++j) { indx[j] = j; } dscal_(n, &t, &z__[1], &c__1); *rho = (d__1 = *rho * 2., abs(d__1)); i__1 = *n; for (i__ = *cutpnt + 1; i__ <= i__1; ++i__) { indxq[i__] += *cutpnt; } i__1 = *n; for (i__ = 1; i__ <= i__1; ++i__) { dlambda[i__] = d__[indxq[i__]]; w[i__] = z__[indxq[i__]]; } i__ = 1; j = *cutpnt + 1; dlamrg_(&n1, &n2, &dlambda[1], &c__1, &c__1, &indx[1]); i__1 = *n; for (i__ = 1; i__ <= i__1; ++i__) { d__[i__] = dlambda[indx[i__]]; z__[i__] = w[indx[i__]]; } imax = idamax_(n, &z__[1], &c__1); jmax = idamax_(n, &d__[1], &c__1); eps = dlamch_((char *)"Epsilon", (ftnlen)7); tol = eps * 8. * (d__1 = d__[jmax], abs(d__1)); if (*rho * (d__1 = z__[imax], abs(d__1)) <= tol) { *k = 0; if (*icompq == 0) { i__1 = *n; for (j = 1; j <= i__1; ++j) { perm[j] = indxq[indx[j]]; } } else { i__1 = *n; for (j = 1; j <= i__1; ++j) { perm[j] = indxq[indx[j]]; dcopy_(qsiz, &q[perm[j] * q_dim1 + 1], &c__1, &q2[j * q2_dim1 + 1], &c__1); } dlacpy_((char *)"A", qsiz, n, &q2[q2_dim1 + 1], ldq2, &q[q_dim1 + 1], ldq, (ftnlen)1); } return 0; } *k = 0; k2 = *n + 1; i__1 = *n; for (j = 1; j <= i__1; ++j) { if (*rho * (d__1 = z__[j], abs(d__1)) <= tol) { --k2; indxp[k2] = j; if (j == *n) { goto L110; } } else { jlam = j; goto L80; } } L80: ++j; if (j > *n) { goto L100; } if (*rho * (d__1 = z__[j], abs(d__1)) <= tol) { --k2; indxp[k2] = j; } else { s = z__[jlam]; c__ = z__[j]; tau = dlapy2_(&c__, &s); t = d__[j] - d__[jlam]; c__ /= tau; s = -s / tau; if ((d__1 = t * c__ * s, abs(d__1)) <= tol) { z__[j] = tau; z__[jlam] = 0.; ++(*givptr); givcol[(*givptr << 1) + 1] = indxq[indx[jlam]]; givcol[(*givptr << 1) + 2] = indxq[indx[j]]; givnum[(*givptr << 1) + 1] = c__; givnum[(*givptr << 1) + 2] = s; if (*icompq == 1) { drot_(qsiz, &q[indxq[indx[jlam]] * q_dim1 + 1], &c__1, &q[indxq[indx[j]] * q_dim1 + 1], &c__1, &c__, &s); } t = d__[jlam] * c__ * c__ + d__[j] * s * s; d__[j] = d__[jlam] * s * s + d__[j] * c__ * c__; d__[jlam] = t; --k2; i__ = 1; L90: if (k2 + i__ <= *n) { if (d__[jlam] < d__[indxp[k2 + i__]]) { indxp[k2 + i__ - 1] = indxp[k2 + i__]; indxp[k2 + i__] = jlam; ++i__; goto L90; } else { indxp[k2 + i__ - 1] = jlam; } } else { indxp[k2 + i__ - 1] = jlam; } jlam = j; } else { ++(*k); w[*k] = z__[jlam]; dlambda[*k] = d__[jlam]; indxp[*k] = jlam; jlam = j; } } goto L80; L100: ++(*k); w[*k] = z__[jlam]; dlambda[*k] = d__[jlam]; indxp[*k] = jlam; L110: if (*icompq == 0) { i__1 = *n; for (j = 1; j <= i__1; ++j) { jp = indxp[j]; dlambda[j] = d__[jp]; perm[j] = indxq[indx[jp]]; } } else { i__1 = *n; for (j = 1; j <= i__1; ++j) { jp = indxp[j]; dlambda[j] = d__[jp]; perm[j] = indxq[indx[jp]]; dcopy_(qsiz, &q[perm[j] * q_dim1 + 1], &c__1, &q2[j * q2_dim1 + 1], &c__1); } } if (*k < *n) { if (*icompq == 0) { i__1 = *n - *k; dcopy_(&i__1, &dlambda[*k + 1], &c__1, &d__[*k + 1], &c__1); } else { i__1 = *n - *k; dcopy_(&i__1, &dlambda[*k + 1], &c__1, &d__[*k + 1], &c__1); i__1 = *n - *k; dlacpy_((char *)"A", qsiz, &i__1, &q2[(*k + 1) * q2_dim1 + 1], ldq2, &q[(*k + 1) * q_dim1 + 1], ldq, (ftnlen)1); } } return 0; } #ifdef __cplusplus } #endif