#ifdef __cplusplus extern "C" { #endif #include "lmp_f2c.h" static integer c__1 = 1; int dlasd7_(integer *icompq, integer *nl, integer *nr, integer *sqre, integer *k, doublereal *d__, doublereal *z__, doublereal *zw, doublereal *vf, doublereal *vfw, doublereal *vl, doublereal *vlw, doublereal *alpha, doublereal *beta, doublereal *dsigma, integer *idx, integer *idxp, integer *idxq, integer *perm, integer *givptr, integer *givcol, integer *ldgcol, doublereal *givnum, integer *ldgnum, doublereal *c__, doublereal *s, integer *info) { integer givcol_dim1, givcol_offset, givnum_dim1, givnum_offset, i__1; doublereal d__1, d__2; integer i__, j, m, n, k2; doublereal z1; integer jp; doublereal eps, tau, tol; integer nlp1, nlp2, idxi, idxj; extern int drot_(integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *); integer idxjp; extern int dcopy_(integer *, doublereal *, integer *, doublereal *, integer *); integer jprev; extern doublereal dlapy2_(doublereal *, doublereal *), dlamch_(char *, ftnlen); extern int dlamrg_(integer *, integer *, doublereal *, integer *, integer *, integer *), xerbla_(char *, integer *, ftnlen); doublereal hlftol; --d__; --z__; --zw; --vf; --vfw; --vl; --vlw; --dsigma; --idx; --idxp; --idxq; --perm; givcol_dim1 = *ldgcol; givcol_offset = 1 + givcol_dim1; givcol -= givcol_offset; givnum_dim1 = *ldgnum; givnum_offset = 1 + givnum_dim1; givnum -= givnum_offset; *info = 0; n = *nl + *nr + 1; m = n + *sqre; if (*icompq < 0 || *icompq > 1) { *info = -1; } else if (*nl < 1) { *info = -2; } else if (*nr < 1) { *info = -3; } else if (*sqre < 0 || *sqre > 1) { *info = -4; } else if (*ldgcol < n) { *info = -22; } else if (*ldgnum < n) { *info = -24; } if (*info != 0) { i__1 = -(*info); xerbla_((char *)"DLASD7", &i__1, (ftnlen)6); return 0; } nlp1 = *nl + 1; nlp2 = *nl + 2; if (*icompq == 1) { *givptr = 0; } z1 = *alpha * vl[nlp1]; vl[nlp1] = 0.; tau = vf[nlp1]; for (i__ = *nl; i__ >= 1; --i__) { z__[i__ + 1] = *alpha * vl[i__]; vl[i__] = 0.; vf[i__ + 1] = vf[i__]; d__[i__ + 1] = d__[i__]; idxq[i__ + 1] = idxq[i__] + 1; } vf[1] = tau; i__1 = m; for (i__ = nlp2; i__ <= i__1; ++i__) { z__[i__] = *beta * vf[i__]; vf[i__] = 0.; } i__1 = n; for (i__ = nlp2; i__ <= i__1; ++i__) { idxq[i__] += nlp1; } i__1 = n; for (i__ = 2; i__ <= i__1; ++i__) { dsigma[i__] = d__[idxq[i__]]; zw[i__] = z__[idxq[i__]]; vfw[i__] = vf[idxq[i__]]; vlw[i__] = vl[idxq[i__]]; } dlamrg_(nl, nr, &dsigma[2], &c__1, &c__1, &idx[2]); i__1 = n; for (i__ = 2; i__ <= i__1; ++i__) { idxi = idx[i__] + 1; d__[i__] = dsigma[idxi]; z__[i__] = zw[idxi]; vf[i__] = vfw[idxi]; vl[i__] = vlw[idxi]; } eps = dlamch_((char *)"Epsilon", (ftnlen)7); d__1 = abs(*alpha), d__2 = abs(*beta); tol = max(d__1, d__2); d__2 = (d__1 = d__[n], abs(d__1)); tol = eps * 64. * max(d__2, tol); *k = 1; k2 = n + 1; i__1 = n; for (j = 2; j <= i__1; ++j) { if ((d__1 = z__[j], abs(d__1)) <= tol) { --k2; idxp[k2] = j; if (j == n) { goto L100; } } else { jprev = j; goto L70; } } L70: j = jprev; L80: ++j; if (j > n) { goto L90; } if ((d__1 = z__[j], abs(d__1)) <= tol) { --k2; idxp[k2] = j; } else { if ((d__1 = d__[j] - d__[jprev], abs(d__1)) <= tol) { *s = z__[jprev]; *c__ = z__[j]; tau = dlapy2_(c__, s); z__[j] = tau; z__[jprev] = 0.; *c__ /= tau; *s = -(*s) / tau; if (*icompq == 1) { ++(*givptr); idxjp = idxq[idx[jprev] + 1]; idxj = idxq[idx[j] + 1]; if (idxjp <= nlp1) { --idxjp; } if (idxj <= nlp1) { --idxj; } givcol[*givptr + (givcol_dim1 << 1)] = idxjp; givcol[*givptr + givcol_dim1] = idxj; givnum[*givptr + (givnum_dim1 << 1)] = *c__; givnum[*givptr + givnum_dim1] = *s; } drot_(&c__1, &vf[jprev], &c__1, &vf[j], &c__1, c__, s); drot_(&c__1, &vl[jprev], &c__1, &vl[j], &c__1, c__, s); --k2; idxp[k2] = jprev; jprev = j; } else { ++(*k); zw[*k] = z__[jprev]; dsigma[*k] = d__[jprev]; idxp[*k] = jprev; jprev = j; } } goto L80; L90: ++(*k); zw[*k] = z__[jprev]; dsigma[*k] = d__[jprev]; idxp[*k] = jprev; L100: i__1 = n; for (j = 2; j <= i__1; ++j) { jp = idxp[j]; dsigma[j] = d__[jp]; vfw[j] = vf[jp]; vlw[j] = vl[jp]; } if (*icompq == 1) { i__1 = n; for (j = 2; j <= i__1; ++j) { jp = idxp[j]; perm[j] = idxq[idx[jp] + 1]; if (perm[j] <= nlp1) { --perm[j]; } } } i__1 = n - *k; dcopy_(&i__1, &dsigma[*k + 1], &c__1, &d__[*k + 1], &c__1); dsigma[1] = 0.; hlftol = tol / 2.; if (abs(dsigma[2]) <= hlftol) { dsigma[2] = hlftol; } if (m > n) { z__[1] = dlapy2_(&z1, &z__[m]); if (z__[1] <= tol) { *c__ = 1.; *s = 0.; z__[1] = tol; } else { *c__ = z1 / z__[1]; *s = -z__[m] / z__[1]; } drot_(&c__1, &vf[m], &c__1, &vf[1], &c__1, c__, s); drot_(&c__1, &vl[m], &c__1, &vl[1], &c__1, c__, s); } else { if (abs(z1) <= tol) { z__[1] = tol; } else { z__[1] = z1; } } i__1 = *k - 1; dcopy_(&i__1, &zw[2], &c__1, &z__[2], &c__1); i__1 = n - 1; dcopy_(&i__1, &vfw[2], &c__1, &vf[2], &c__1); i__1 = n - 1; dcopy_(&i__1, &vlw[2], &c__1, &vl[2], &c__1); return 0; } #ifdef __cplusplus } #endif