#ifdef __cplusplus extern "C" { #endif #include "lmp_f2c.h" static integer c__1 = 1; static integer c__0 = 0; static doublereal c_b13 = 1.; static doublereal c_b26 = 0.; int dlasd3_(integer *nl, integer *nr, integer *sqre, integer *k, doublereal *d__, doublereal *q, integer *ldq, doublereal *dsigma, doublereal *u, integer *ldu, doublereal *u2, integer *ldu2, doublereal *vt, integer *ldvt, doublereal *vt2, integer *ldvt2, integer *idxc, integer *ctot, doublereal *z__, integer *info) { integer q_dim1, q_offset, u_dim1, u_offset, u2_dim1, u2_offset, vt_dim1, vt_offset, vt2_dim1, vt2_offset, i__1, i__2; doublereal d__1, d__2; double sqrt(doublereal), d_lmp_sign(doublereal *, doublereal *); integer i__, j, m, n, jc; doublereal rho; integer nlp1, nlp2, nrp1; doublereal temp; extern doublereal dnrm2_(integer *, doublereal *, integer *); extern int dgemm_(char *, char *, integer *, integer *, integer *, doublereal *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *, integer *, ftnlen, ftnlen); integer ctemp; extern int dcopy_(integer *, doublereal *, integer *, doublereal *, integer *); integer ktemp; extern doublereal dlamc3_(doublereal *, doublereal *); extern int dlasd4_(integer *, integer *, doublereal *, doublereal *, doublereal *, doublereal *, doublereal *, doublereal *, integer *), dlascl_(char *, integer *, integer *, doublereal *, doublereal *, integer *, integer *, doublereal *, integer *, integer *, ftnlen), 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; --dsigma; u_dim1 = *ldu; u_offset = 1 + u_dim1; u -= u_offset; u2_dim1 = *ldu2; u2_offset = 1 + u2_dim1; u2 -= u2_offset; vt_dim1 = *ldvt; vt_offset = 1 + vt_dim1; vt -= vt_offset; vt2_dim1 = *ldvt2; vt2_offset = 1 + vt2_dim1; vt2 -= vt2_offset; --idxc; --ctot; --z__; *info = 0; if (*nl < 1) { *info = -1; } else if (*nr < 1) { *info = -2; } else if (*sqre != 1 && *sqre != 0) { *info = -3; } n = *nl + *nr + 1; m = n + *sqre; nlp1 = *nl + 1; nlp2 = *nl + 2; if (*k < 1 || *k > n) { *info = -4; } else if (*ldq < *k) { *info = -7; } else if (*ldu < n) { *info = -10; } else if (*ldu2 < n) { *info = -12; } else if (*ldvt < m) { *info = -14; } else if (*ldvt2 < m) { *info = -16; } if (*info != 0) { i__1 = -(*info); xerbla_((char *)"DLASD3", &i__1, (ftnlen)6); return 0; } if (*k == 1) { d__[1] = abs(z__[1]); dcopy_(&m, &vt2[vt2_dim1 + 1], ldvt2, &vt[vt_dim1 + 1], ldvt); if (z__[1] > 0.) { dcopy_(&n, &u2[u2_dim1 + 1], &c__1, &u[u_dim1 + 1], &c__1); } else { i__1 = n; for (i__ = 1; i__ <= i__1; ++i__) { u[i__ + u_dim1] = -u2[i__ + u2_dim1]; } } return 0; } i__1 = *k; for (i__ = 1; i__ <= i__1; ++i__) { dsigma[i__] = dlamc3_(&dsigma[i__], &dsigma[i__]) - dsigma[i__]; } dcopy_(k, &z__[1], &c__1, &q[q_offset], &c__1); rho = dnrm2_(k, &z__[1], &c__1); dlascl_((char *)"G", &c__0, &c__0, &rho, &c_b13, k, &c__1, &z__[1], k, info, (ftnlen)1); rho *= rho; i__1 = *k; for (j = 1; j <= i__1; ++j) { dlasd4_(k, &j, &dsigma[1], &z__[1], &u[j * u_dim1 + 1], &rho, &d__[j], &vt[j * vt_dim1 + 1], info); if (*info != 0) { return 0; } } i__1 = *k; for (i__ = 1; i__ <= i__1; ++i__) { z__[i__] = u[i__ + *k * u_dim1] * vt[i__ + *k * vt_dim1]; i__2 = i__ - 1; for (j = 1; j <= i__2; ++j) { z__[i__] *= u[i__ + j * u_dim1] * vt[i__ + j * vt_dim1] / (dsigma[i__] - dsigma[j]) / (dsigma[i__] + dsigma[j]); } i__2 = *k - 1; for (j = i__; j <= i__2; ++j) { z__[i__] *= u[i__ + j * u_dim1] * vt[i__ + j * vt_dim1] / (dsigma[i__] - dsigma[j + 1]) / (dsigma[i__] + dsigma[j + 1]); } d__2 = sqrt((d__1 = z__[i__], abs(d__1))); z__[i__] = d_lmp_sign(&d__2, &q[i__ + q_dim1]); } i__1 = *k; for (i__ = 1; i__ <= i__1; ++i__) { vt[i__ * vt_dim1 + 1] = z__[1] / u[i__ * u_dim1 + 1] / vt[i__ * vt_dim1 + 1]; u[i__ * u_dim1 + 1] = -1.; i__2 = *k; for (j = 2; j <= i__2; ++j) { vt[j + i__ * vt_dim1] = z__[j] / u[j + i__ * u_dim1] / vt[j + i__ * vt_dim1]; u[j + i__ * u_dim1] = dsigma[j] * vt[j + i__ * vt_dim1]; } temp = dnrm2_(k, &u[i__ * u_dim1 + 1], &c__1); q[i__ * q_dim1 + 1] = u[i__ * u_dim1 + 1] / temp; i__2 = *k; for (j = 2; j <= i__2; ++j) { jc = idxc[j]; q[j + i__ * q_dim1] = u[jc + i__ * u_dim1] / temp; } } if (*k == 2) { dgemm_((char *)"N", (char *)"N", &n, k, k, &c_b13, &u2[u2_offset], ldu2, &q[q_offset], ldq, &c_b26, &u[u_offset], ldu, (ftnlen)1, (ftnlen)1); goto L100; } if (ctot[1] > 0) { dgemm_((char *)"N", (char *)"N", nl, k, &ctot[1], &c_b13, &u2[(u2_dim1 << 1) + 1], ldu2, &q[q_dim1 + 2], ldq, &c_b26, &u[u_dim1 + 1], ldu, (ftnlen)1, (ftnlen)1); if (ctot[3] > 0) { ktemp = ctot[1] + 2 + ctot[2]; dgemm_((char *)"N", (char *)"N", nl, k, &ctot[3], &c_b13, &u2[ktemp * u2_dim1 + 1], ldu2, &q[ktemp + q_dim1], ldq, &c_b13, &u[u_dim1 + 1], ldu, (ftnlen)1, (ftnlen)1); } } else if (ctot[3] > 0) { ktemp = ctot[1] + 2 + ctot[2]; dgemm_((char *)"N", (char *)"N", nl, k, &ctot[3], &c_b13, &u2[ktemp * u2_dim1 + 1], ldu2, &q[ktemp + q_dim1], ldq, &c_b26, &u[u_dim1 + 1], ldu, (ftnlen)1, (ftnlen)1); } else { dlacpy_((char *)"F", nl, k, &u2[u2_offset], ldu2, &u[u_offset], ldu, (ftnlen)1); } dcopy_(k, &q[q_dim1 + 1], ldq, &u[nlp1 + u_dim1], ldu); ktemp = ctot[1] + 2; ctemp = ctot[2] + ctot[3]; dgemm_((char *)"N", (char *)"N", nr, k, &ctemp, &c_b13, &u2[nlp2 + ktemp * u2_dim1], ldu2, &q[ktemp + q_dim1], ldq, &c_b26, &u[nlp2 + u_dim1], ldu, (ftnlen)1, (ftnlen)1); L100: i__1 = *k; for (i__ = 1; i__ <= i__1; ++i__) { temp = dnrm2_(k, &vt[i__ * vt_dim1 + 1], &c__1); q[i__ + q_dim1] = vt[i__ * vt_dim1 + 1] / temp; i__2 = *k; for (j = 2; j <= i__2; ++j) { jc = idxc[j]; q[i__ + j * q_dim1] = vt[jc + i__ * vt_dim1] / temp; } } if (*k == 2) { dgemm_((char *)"N", (char *)"N", k, &m, k, &c_b13, &q[q_offset], ldq, &vt2[vt2_offset], ldvt2, &c_b26, &vt[vt_offset], ldvt, (ftnlen)1, (ftnlen)1); return 0; } ktemp = ctot[1] + 1; dgemm_((char *)"N", (char *)"N", k, &nlp1, &ktemp, &c_b13, &q[q_dim1 + 1], ldq, &vt2[vt2_dim1 + 1], ldvt2, &c_b26, &vt[vt_dim1 + 1], ldvt, (ftnlen)1, (ftnlen)1); ktemp = ctot[1] + 2 + ctot[2]; if (ktemp <= *ldvt2) { dgemm_((char *)"N", (char *)"N", k, &nlp1, &ctot[3], &c_b13, &q[ktemp * q_dim1 + 1], ldq, &vt2[ktemp + vt2_dim1], ldvt2, &c_b13, &vt[vt_dim1 + 1], ldvt, (ftnlen)1, (ftnlen)1); } ktemp = ctot[1] + 1; nrp1 = *nr + *sqre; if (ktemp > 1) { i__1 = *k; for (i__ = 1; i__ <= i__1; ++i__) { q[i__ + ktemp * q_dim1] = q[i__ + q_dim1]; } i__1 = m; for (i__ = nlp2; i__ <= i__1; ++i__) { vt2[ktemp + i__ * vt2_dim1] = vt2[i__ * vt2_dim1 + 1]; } } ctemp = ctot[2] + 1 + ctot[3]; dgemm_((char *)"N", (char *)"N", k, &nrp1, &ctemp, &c_b13, &q[ktemp * q_dim1 + 1], ldq, &vt2[ktemp + nlp2 * vt2_dim1], ldvt2, &c_b26, &vt[nlp2 * vt_dim1 + 1], ldvt, (ftnlen)1, (ftnlen)1); return 0; } #ifdef __cplusplus } #endif