#ifdef __cplusplus extern "C" { #endif #include "lmp_f2c.h" static integer c__1 = 1; static integer c_n1 = -1; static integer c__2 = 2; static doublereal c_b17 = 0.; static logical c_false = FALSE_; static doublereal c_b29 = 1.; static logical c_true = TRUE_; int dtrevc3_(char *side, char *howmny, logical *select, integer *n, doublereal *t, integer *ldt, doublereal *vl, integer *ldvl, doublereal *vr, integer *ldvr, integer *mm, integer *m, doublereal *work, integer *lwork, integer *info, ftnlen side_len, ftnlen howmny_len) { address a__1[2]; integer t_dim1, t_offset, vl_dim1, vl_offset, vr_dim1, vr_offset, i__1[2], i__2, i__3, i__4; doublereal d__1, d__2, d__3, d__4; char ch__1[2]; int s_lmp_cat(char *, char **, integer *, integer *, ftnlen); double sqrt(doublereal); integer i__, j, k; doublereal x[4]; integer j1, j2, iscomplex[128], nb, ii, ki, ip, is, iv; doublereal wi, wr; integer ki2; doublereal rec, ulp, beta, emax; logical pair; extern doublereal ddot_(integer *, doublereal *, integer *, doublereal *, integer *); logical allv; integer ierr; doublereal unfl, ovfl, smin; logical over; doublereal vmax; integer jnxt; extern int dscal_(integer *, doublereal *, doublereal *, integer *); doublereal scale; extern int dgemm_(char *, char *, integer *, integer *, integer *, doublereal *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *, integer *, ftnlen, ftnlen); extern logical lsame_(char *, char *, ftnlen, ftnlen); extern int dgemv_(char *, integer *, integer *, doublereal *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *, integer *, ftnlen); doublereal remax; extern int dcopy_(integer *, doublereal *, integer *, doublereal *, integer *); logical leftv, bothv; extern int daxpy_(integer *, doublereal *, doublereal *, integer *, doublereal *, integer *); doublereal vcrit; logical somev; doublereal xnorm; extern int dlaln2_(logical *, integer *, integer *, doublereal *, doublereal *, doublereal *, integer *, doublereal *, doublereal *, doublereal *, integer *, doublereal *, doublereal *, doublereal *, integer *, doublereal *, doublereal *, integer *), dlabad_(doublereal *, doublereal *); extern doublereal dlamch_(char *, ftnlen); extern integer idamax_(integer *, doublereal *, integer *); extern int dlaset_(char *, integer *, integer *, doublereal *, doublereal *, doublereal *, integer *, ftnlen), xerbla_(char *, integer *, ftnlen); extern integer ilaenv_(integer *, char *, char *, integer *, integer *, integer *, integer *, ftnlen, ftnlen); extern int dlacpy_(char *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, ftnlen); doublereal bignum; logical rightv; integer maxwrk; doublereal smlnum; logical lquery; --select; t_dim1 = *ldt; t_offset = 1 + t_dim1; t -= t_offset; vl_dim1 = *ldvl; vl_offset = 1 + vl_dim1; vl -= vl_offset; vr_dim1 = *ldvr; vr_offset = 1 + vr_dim1; vr -= vr_offset; --work; bothv = lsame_(side, (char *)"B", (ftnlen)1, (ftnlen)1); rightv = lsame_(side, (char *)"R", (ftnlen)1, (ftnlen)1) || bothv; leftv = lsame_(side, (char *)"L", (ftnlen)1, (ftnlen)1) || bothv; allv = lsame_(howmny, (char *)"A", (ftnlen)1, (ftnlen)1); over = lsame_(howmny, (char *)"B", (ftnlen)1, (ftnlen)1); somev = lsame_(howmny, (char *)"S", (ftnlen)1, (ftnlen)1); *info = 0; i__1[0] = 1, a__1[0] = side; i__1[1] = 1, a__1[1] = howmny; s_lmp_cat(ch__1, a__1, i__1, &c__2, (ftnlen)2); nb = ilaenv_(&c__1, (char *)"DTREVC", ch__1, n, &c_n1, &c_n1, &c_n1, (ftnlen)6, (ftnlen)2); maxwrk = *n + (*n << 1) * nb; work[1] = (doublereal)maxwrk; lquery = *lwork == -1; if (!rightv && !leftv) { *info = -1; } else if (!allv && !over && !somev) { *info = -2; } else if (*n < 0) { *info = -4; } else if (*ldt < max(1, *n)) { *info = -6; } else if (*ldvl < 1 || leftv && *ldvl < *n) { *info = -8; } else if (*ldvr < 1 || rightv && *ldvr < *n) { *info = -10; } else { i__2 = 1, i__3 = *n * 3; if (*lwork < max(i__2, i__3) && !lquery) { *info = -14; } else { if (somev) { *m = 0; pair = FALSE_; i__2 = *n; for (j = 1; j <= i__2; ++j) { if (pair) { pair = FALSE_; select[j] = FALSE_; } else { if (j < *n) { if (t[j + 1 + j * t_dim1] == 0.) { if (select[j]) { ++(*m); } } else { pair = TRUE_; if (select[j] || select[j + 1]) { select[j] = TRUE_; *m += 2; } } } else { if (select[*n]) { ++(*m); } } } } } else { *m = *n; } if (*mm < *m) { *info = -11; } } } if (*info != 0) { i__2 = -(*info); xerbla_((char *)"DTREVC3", &i__2, (ftnlen)7); return 0; } else if (lquery) { return 0; } if (*n == 0) { return 0; } if (over && *lwork >= *n + (*n << 4)) { nb = (*lwork - *n) / (*n << 1); nb = min(nb, 128); i__2 = (nb << 1) + 1; dlaset_((char *)"F", n, &i__2, &c_b17, &c_b17, &work[1], n, (ftnlen)1); } else { nb = 1; } unfl = dlamch_((char *)"Safe minimum", (ftnlen)12); ovfl = 1. / unfl; dlabad_(&unfl, &ovfl); ulp = dlamch_((char *)"Precision", (ftnlen)9); smlnum = unfl * (*n / ulp); bignum = (1. - ulp) / smlnum; work[1] = 0.; i__2 = *n; for (j = 2; j <= i__2; ++j) { work[j] = 0.; i__3 = j - 1; for (i__ = 1; i__ <= i__3; ++i__) { work[j] += (d__1 = t[i__ + j * t_dim1], abs(d__1)); } } if (rightv) { iv = 2; if (nb > 2) { iv = nb; } ip = 0; is = *m; for (ki = *n; ki >= 1; --ki) { if (ip == -1) { ip = 1; goto L140; } else if (ki == 1) { ip = 0; } else if (t[ki + (ki - 1) * t_dim1] == 0.) { ip = 0; } else { ip = -1; } if (somev) { if (ip == 0) { if (!select[ki]) { goto L140; } } else { if (!select[ki - 1]) { goto L140; } } } wr = t[ki + ki * t_dim1]; wi = 0.; if (ip != 0) { wi = sqrt((d__1 = t[ki + (ki - 1) * t_dim1], abs(d__1))) * sqrt((d__2 = t[ki - 1 + ki * t_dim1], abs(d__2))); } d__1 = ulp * (abs(wr) + abs(wi)); smin = max(d__1, smlnum); if (ip == 0) { work[ki + iv * *n] = 1.; i__2 = ki - 1; for (k = 1; k <= i__2; ++k) { work[k + iv * *n] = -t[k + ki * t_dim1]; } jnxt = ki - 1; for (j = ki - 1; j >= 1; --j) { if (j > jnxt) { goto L60; } j1 = j; j2 = j; jnxt = j - 1; if (j > 1) { if (t[j + (j - 1) * t_dim1] != 0.) { j1 = j - 1; jnxt = j - 2; } } if (j1 == j2) { dlaln2_(&c_false, &c__1, &c__1, &smin, &c_b29, &t[j + j * t_dim1], ldt, &c_b29, &c_b29, &work[j + iv * *n], n, &wr, &c_b17, x, &c__2, &scale, &xnorm, &ierr); if (xnorm > 1.) { if (work[j] > bignum / xnorm) { x[0] /= xnorm; scale /= xnorm; } } if (scale != 1.) { dscal_(&ki, &scale, &work[iv * *n + 1], &c__1); } work[j + iv * *n] = x[0]; i__2 = j - 1; d__1 = -x[0]; daxpy_(&i__2, &d__1, &t[j * t_dim1 + 1], &c__1, &work[iv * *n + 1], &c__1); } else { dlaln2_(&c_false, &c__2, &c__1, &smin, &c_b29, &t[j - 1 + (j - 1) * t_dim1], ldt, &c_b29, &c_b29, &work[j - 1 + iv * *n], n, &wr, &c_b17, x, &c__2, &scale, &xnorm, &ierr); if (xnorm > 1.) { d__1 = work[j - 1], d__2 = work[j]; beta = max(d__1, d__2); if (beta > bignum / xnorm) { x[0] /= xnorm; x[1] /= xnorm; scale /= xnorm; } } if (scale != 1.) { dscal_(&ki, &scale, &work[iv * *n + 1], &c__1); } work[j - 1 + iv * *n] = x[0]; work[j + iv * *n] = x[1]; i__2 = j - 2; d__1 = -x[0]; daxpy_(&i__2, &d__1, &t[(j - 1) * t_dim1 + 1], &c__1, &work[iv * *n + 1], &c__1); i__2 = j - 2; d__1 = -x[1]; daxpy_(&i__2, &d__1, &t[j * t_dim1 + 1], &c__1, &work[iv * *n + 1], &c__1); } L60:; } if (!over) { dcopy_(&ki, &work[iv * *n + 1], &c__1, &vr[is * vr_dim1 + 1], &c__1); ii = idamax_(&ki, &vr[is * vr_dim1 + 1], &c__1); remax = 1. / (d__1 = vr[ii + is * vr_dim1], abs(d__1)); dscal_(&ki, &remax, &vr[is * vr_dim1 + 1], &c__1); i__2 = *n; for (k = ki + 1; k <= i__2; ++k) { vr[k + is * vr_dim1] = 0.; } } else if (nb == 1) { if (ki > 1) { i__2 = ki - 1; dgemv_((char *)"N", n, &i__2, &c_b29, &vr[vr_offset], ldvr, &work[iv * *n + 1], &c__1, &work[ki + iv * *n], &vr[ki * vr_dim1 + 1], &c__1, (ftnlen)1); } ii = idamax_(n, &vr[ki * vr_dim1 + 1], &c__1); remax = 1. / (d__1 = vr[ii + ki * vr_dim1], abs(d__1)); dscal_(n, &remax, &vr[ki * vr_dim1 + 1], &c__1); } else { i__2 = *n; for (k = ki + 1; k <= i__2; ++k) { work[k + iv * *n] = 0.; } iscomplex[iv - 1] = ip; } } else { if ((d__1 = t[ki - 1 + ki * t_dim1], abs(d__1)) >= (d__2 = t[ki + (ki - 1) * t_dim1], abs(d__2))) { work[ki - 1 + (iv - 1) * *n] = 1.; work[ki + iv * *n] = wi / t[ki - 1 + ki * t_dim1]; } else { work[ki - 1 + (iv - 1) * *n] = -wi / t[ki + (ki - 1) * t_dim1]; work[ki + iv * *n] = 1.; } work[ki + (iv - 1) * *n] = 0.; work[ki - 1 + iv * *n] = 0.; i__2 = ki - 2; for (k = 1; k <= i__2; ++k) { work[k + (iv - 1) * *n] = -work[ki - 1 + (iv - 1) * *n] * t[k + (ki - 1) * t_dim1]; work[k + iv * *n] = -work[ki + iv * *n] * t[k + ki * t_dim1]; } jnxt = ki - 2; for (j = ki - 2; j >= 1; --j) { if (j > jnxt) { goto L90; } j1 = j; j2 = j; jnxt = j - 1; if (j > 1) { if (t[j + (j - 1) * t_dim1] != 0.) { j1 = j - 1; jnxt = j - 2; } } if (j1 == j2) { dlaln2_(&c_false, &c__1, &c__2, &smin, &c_b29, &t[j + j * t_dim1], ldt, &c_b29, &c_b29, &work[j + (iv - 1) * *n], n, &wr, &wi, x, &c__2, &scale, &xnorm, &ierr); if (xnorm > 1.) { if (work[j] > bignum / xnorm) { x[0] /= xnorm; x[2] /= xnorm; scale /= xnorm; } } if (scale != 1.) { dscal_(&ki, &scale, &work[(iv - 1) * *n + 1], &c__1); dscal_(&ki, &scale, &work[iv * *n + 1], &c__1); } work[j + (iv - 1) * *n] = x[0]; work[j + iv * *n] = x[2]; i__2 = j - 1; d__1 = -x[0]; daxpy_(&i__2, &d__1, &t[j * t_dim1 + 1], &c__1, &work[(iv - 1) * *n + 1], &c__1); i__2 = j - 1; d__1 = -x[2]; daxpy_(&i__2, &d__1, &t[j * t_dim1 + 1], &c__1, &work[iv * *n + 1], &c__1); } else { dlaln2_(&c_false, &c__2, &c__2, &smin, &c_b29, &t[j - 1 + (j - 1) * t_dim1], ldt, &c_b29, &c_b29, &work[j - 1 + (iv - 1) * *n], n, &wr, &wi, x, &c__2, &scale, &xnorm, &ierr); if (xnorm > 1.) { d__1 = work[j - 1], d__2 = work[j]; beta = max(d__1, d__2); if (beta > bignum / xnorm) { rec = 1. / xnorm; x[0] *= rec; x[2] *= rec; x[1] *= rec; x[3] *= rec; scale *= rec; } } if (scale != 1.) { dscal_(&ki, &scale, &work[(iv - 1) * *n + 1], &c__1); dscal_(&ki, &scale, &work[iv * *n + 1], &c__1); } work[j - 1 + (iv - 1) * *n] = x[0]; work[j + (iv - 1) * *n] = x[1]; work[j - 1 + iv * *n] = x[2]; work[j + iv * *n] = x[3]; i__2 = j - 2; d__1 = -x[0]; daxpy_(&i__2, &d__1, &t[(j - 1) * t_dim1 + 1], &c__1, &work[(iv - 1) * *n + 1], &c__1); i__2 = j - 2; d__1 = -x[1]; daxpy_(&i__2, &d__1, &t[j * t_dim1 + 1], &c__1, &work[(iv - 1) * *n + 1], &c__1); i__2 = j - 2; d__1 = -x[2]; daxpy_(&i__2, &d__1, &t[(j - 1) * t_dim1 + 1], &c__1, &work[iv * *n + 1], &c__1); i__2 = j - 2; d__1 = -x[3]; daxpy_(&i__2, &d__1, &t[j * t_dim1 + 1], &c__1, &work[iv * *n + 1], &c__1); } L90:; } if (!over) { dcopy_(&ki, &work[(iv - 1) * *n + 1], &c__1, &vr[(is - 1) * vr_dim1 + 1], &c__1); dcopy_(&ki, &work[iv * *n + 1], &c__1, &vr[is * vr_dim1 + 1], &c__1); emax = 0.; i__2 = ki; for (k = 1; k <= i__2; ++k) { d__3 = emax, d__4 = (d__1 = vr[k + (is - 1) * vr_dim1], abs(d__1)) + (d__2 = vr[k + is * vr_dim1], abs(d__2)); emax = max(d__3, d__4); } remax = 1. / emax; dscal_(&ki, &remax, &vr[(is - 1) * vr_dim1 + 1], &c__1); dscal_(&ki, &remax, &vr[is * vr_dim1 + 1], &c__1); i__2 = *n; for (k = ki + 1; k <= i__2; ++k) { vr[k + (is - 1) * vr_dim1] = 0.; vr[k + is * vr_dim1] = 0.; } } else if (nb == 1) { if (ki > 2) { i__2 = ki - 2; dgemv_((char *)"N", n, &i__2, &c_b29, &vr[vr_offset], ldvr, &work[(iv - 1) * *n + 1], &c__1, &work[ki - 1 + (iv - 1) * *n], &vr[(ki - 1) * vr_dim1 + 1], &c__1, (ftnlen)1); i__2 = ki - 2; dgemv_((char *)"N", n, &i__2, &c_b29, &vr[vr_offset], ldvr, &work[iv * *n + 1], &c__1, &work[ki + iv * *n], &vr[ki * vr_dim1 + 1], &c__1, (ftnlen)1); } else { dscal_(n, &work[ki - 1 + (iv - 1) * *n], &vr[(ki - 1) * vr_dim1 + 1], &c__1); dscal_(n, &work[ki + iv * *n], &vr[ki * vr_dim1 + 1], &c__1); } emax = 0.; i__2 = *n; for (k = 1; k <= i__2; ++k) { d__3 = emax, d__4 = (d__1 = vr[k + (ki - 1) * vr_dim1], abs(d__1)) + (d__2 = vr[k + ki * vr_dim1], abs(d__2)); emax = max(d__3, d__4); } remax = 1. / emax; dscal_(n, &remax, &vr[(ki - 1) * vr_dim1 + 1], &c__1); dscal_(n, &remax, &vr[ki * vr_dim1 + 1], &c__1); } else { i__2 = *n; for (k = ki + 1; k <= i__2; ++k) { work[k + (iv - 1) * *n] = 0.; work[k + iv * *n] = 0.; } iscomplex[iv - 2] = -ip; iscomplex[iv - 1] = ip; --iv; } } if (nb > 1) { if (ip == 0) { ki2 = ki; } else { ki2 = ki - 1; } if (iv <= 2 || ki2 == 1) { i__2 = nb - iv + 1; i__3 = ki2 + nb - iv; dgemm_((char *)"N", (char *)"N", n, &i__2, &i__3, &c_b29, &vr[vr_offset], ldvr, &work[iv * *n + 1], n, &c_b17, &work[(nb + iv) * *n + 1], n, (ftnlen)1, (ftnlen)1); i__2 = nb; for (k = iv; k <= i__2; ++k) { if (iscomplex[k - 1] == 0) { ii = idamax_(n, &work[(nb + k) * *n + 1], &c__1); remax = 1. / (d__1 = work[ii + (nb + k) * *n], abs(d__1)); } else if (iscomplex[k - 1] == 1) { emax = 0.; i__3 = *n; for (ii = 1; ii <= i__3; ++ii) { d__3 = emax, d__4 = (d__1 = work[ii + (nb + k) * *n], abs(d__1)) + (d__2 = work[ii + (nb + k + 1) * *n], abs(d__2)); emax = max(d__3, d__4); } remax = 1. / emax; } dscal_(n, &remax, &work[(nb + k) * *n + 1], &c__1); } i__2 = nb - iv + 1; dlacpy_((char *)"F", n, &i__2, &work[(nb + iv) * *n + 1], n, &vr[ki2 * vr_dim1 + 1], ldvr, (ftnlen)1); iv = nb; } else { --iv; } } --is; if (ip != 0) { --is; } L140:; } } if (leftv) { iv = 1; ip = 0; is = 1; i__2 = *n; for (ki = 1; ki <= i__2; ++ki) { if (ip == 1) { ip = -1; goto L260; } else if (ki == *n) { ip = 0; } else if (t[ki + 1 + ki * t_dim1] == 0.) { ip = 0; } else { ip = 1; } if (somev) { if (!select[ki]) { goto L260; } } wr = t[ki + ki * t_dim1]; wi = 0.; if (ip != 0) { wi = sqrt((d__1 = t[ki + (ki + 1) * t_dim1], abs(d__1))) * sqrt((d__2 = t[ki + 1 + ki * t_dim1], abs(d__2))); } d__1 = ulp * (abs(wr) + abs(wi)); smin = max(d__1, smlnum); if (ip == 0) { work[ki + iv * *n] = 1.; i__3 = *n; for (k = ki + 1; k <= i__3; ++k) { work[k + iv * *n] = -t[ki + k * t_dim1]; } vmax = 1.; vcrit = bignum; jnxt = ki + 1; i__3 = *n; for (j = ki + 1; j <= i__3; ++j) { if (j < jnxt) { goto L170; } j1 = j; j2 = j; jnxt = j + 1; if (j < *n) { if (t[j + 1 + j * t_dim1] != 0.) { j2 = j + 1; jnxt = j + 2; } } if (j1 == j2) { if (work[j] > vcrit) { rec = 1. / vmax; i__4 = *n - ki + 1; dscal_(&i__4, &rec, &work[ki + iv * *n], &c__1); vmax = 1.; vcrit = bignum; } i__4 = j - ki - 1; work[j + iv * *n] -= ddot_(&i__4, &t[ki + 1 + j * t_dim1], &c__1, &work[ki + 1 + iv * *n], &c__1); dlaln2_(&c_false, &c__1, &c__1, &smin, &c_b29, &t[j + j * t_dim1], ldt, &c_b29, &c_b29, &work[j + iv * *n], n, &wr, &c_b17, x, &c__2, &scale, &xnorm, &ierr); if (scale != 1.) { i__4 = *n - ki + 1; dscal_(&i__4, &scale, &work[ki + iv * *n], &c__1); } work[j + iv * *n] = x[0]; d__2 = (d__1 = work[j + iv * *n], abs(d__1)); vmax = max(d__2, vmax); vcrit = bignum / vmax; } else { d__1 = work[j], d__2 = work[j + 1]; beta = max(d__1, d__2); if (beta > vcrit) { rec = 1. / vmax; i__4 = *n - ki + 1; dscal_(&i__4, &rec, &work[ki + iv * *n], &c__1); vmax = 1.; vcrit = bignum; } i__4 = j - ki - 1; work[j + iv * *n] -= ddot_(&i__4, &t[ki + 1 + j * t_dim1], &c__1, &work[ki + 1 + iv * *n], &c__1); i__4 = j - ki - 1; work[j + 1 + iv * *n] -= ddot_(&i__4, &t[ki + 1 + (j + 1) * t_dim1], &c__1, &work[ki + 1 + iv * *n], &c__1); dlaln2_(&c_true, &c__2, &c__1, &smin, &c_b29, &t[j + j * t_dim1], ldt, &c_b29, &c_b29, &work[j + iv * *n], n, &wr, &c_b17, x, &c__2, &scale, &xnorm, &ierr); if (scale != 1.) { i__4 = *n - ki + 1; dscal_(&i__4, &scale, &work[ki + iv * *n], &c__1); } work[j + iv * *n] = x[0]; work[j + 1 + iv * *n] = x[1]; d__3 = (d__1 = work[j + iv * *n], abs(d__1)), d__4 = (d__2 = work[j + 1 + iv * *n], abs(d__2)), d__3 = max(d__3, d__4); vmax = max(d__3, vmax); vcrit = bignum / vmax; } L170:; } if (!over) { i__3 = *n - ki + 1; dcopy_(&i__3, &work[ki + iv * *n], &c__1, &vl[ki + is * vl_dim1], &c__1); i__3 = *n - ki + 1; ii = idamax_(&i__3, &vl[ki + is * vl_dim1], &c__1) + ki - 1; remax = 1. / (d__1 = vl[ii + is * vl_dim1], abs(d__1)); i__3 = *n - ki + 1; dscal_(&i__3, &remax, &vl[ki + is * vl_dim1], &c__1); i__3 = ki - 1; for (k = 1; k <= i__3; ++k) { vl[k + is * vl_dim1] = 0.; } } else if (nb == 1) { if (ki < *n) { i__3 = *n - ki; dgemv_((char *)"N", n, &i__3, &c_b29, &vl[(ki + 1) * vl_dim1 + 1], ldvl, &work[ki + 1 + iv * *n], &c__1, &work[ki + iv * *n], &vl[ki * vl_dim1 + 1], &c__1, (ftnlen)1); } ii = idamax_(n, &vl[ki * vl_dim1 + 1], &c__1); remax = 1. / (d__1 = vl[ii + ki * vl_dim1], abs(d__1)); dscal_(n, &remax, &vl[ki * vl_dim1 + 1], &c__1); } else { i__3 = ki - 1; for (k = 1; k <= i__3; ++k) { work[k + iv * *n] = 0.; } iscomplex[iv - 1] = ip; } } else { if ((d__1 = t[ki + (ki + 1) * t_dim1], abs(d__1)) >= (d__2 = t[ki + 1 + ki * t_dim1], abs(d__2))) { work[ki + iv * *n] = wi / t[ki + (ki + 1) * t_dim1]; work[ki + 1 + (iv + 1) * *n] = 1.; } else { work[ki + iv * *n] = 1.; work[ki + 1 + (iv + 1) * *n] = -wi / t[ki + 1 + ki * t_dim1]; } work[ki + 1 + iv * *n] = 0.; work[ki + (iv + 1) * *n] = 0.; i__3 = *n; for (k = ki + 2; k <= i__3; ++k) { work[k + iv * *n] = -work[ki + iv * *n] * t[ki + k * t_dim1]; work[k + (iv + 1) * *n] = -work[ki + 1 + (iv + 1) * *n] * t[ki + 1 + k * t_dim1]; } vmax = 1.; vcrit = bignum; jnxt = ki + 2; i__3 = *n; for (j = ki + 2; j <= i__3; ++j) { if (j < jnxt) { goto L200; } j1 = j; j2 = j; jnxt = j + 1; if (j < *n) { if (t[j + 1 + j * t_dim1] != 0.) { j2 = j + 1; jnxt = j + 2; } } if (j1 == j2) { if (work[j] > vcrit) { rec = 1. / vmax; i__4 = *n - ki + 1; dscal_(&i__4, &rec, &work[ki + iv * *n], &c__1); i__4 = *n - ki + 1; dscal_(&i__4, &rec, &work[ki + (iv + 1) * *n], &c__1); vmax = 1.; vcrit = bignum; } i__4 = j - ki - 2; work[j + iv * *n] -= ddot_(&i__4, &t[ki + 2 + j * t_dim1], &c__1, &work[ki + 2 + iv * *n], &c__1); i__4 = j - ki - 2; work[j + (iv + 1) * *n] -= ddot_(&i__4, &t[ki + 2 + j * t_dim1], &c__1, &work[ki + 2 + (iv + 1) * *n], &c__1); d__1 = -wi; dlaln2_(&c_false, &c__1, &c__2, &smin, &c_b29, &t[j + j * t_dim1], ldt, &c_b29, &c_b29, &work[j + iv * *n], n, &wr, &d__1, x, &c__2, &scale, &xnorm, &ierr); if (scale != 1.) { i__4 = *n - ki + 1; dscal_(&i__4, &scale, &work[ki + iv * *n], &c__1); i__4 = *n - ki + 1; dscal_(&i__4, &scale, &work[ki + (iv + 1) * *n], &c__1); } work[j + iv * *n] = x[0]; work[j + (iv + 1) * *n] = x[2]; d__3 = (d__1 = work[j + iv * *n], abs(d__1)), d__4 = (d__2 = work[j + (iv + 1) * *n], abs(d__2)), d__3 = max(d__3, d__4); vmax = max(d__3, vmax); vcrit = bignum / vmax; } else { d__1 = work[j], d__2 = work[j + 1]; beta = max(d__1, d__2); if (beta > vcrit) { rec = 1. / vmax; i__4 = *n - ki + 1; dscal_(&i__4, &rec, &work[ki + iv * *n], &c__1); i__4 = *n - ki + 1; dscal_(&i__4, &rec, &work[ki + (iv + 1) * *n], &c__1); vmax = 1.; vcrit = bignum; } i__4 = j - ki - 2; work[j + iv * *n] -= ddot_(&i__4, &t[ki + 2 + j * t_dim1], &c__1, &work[ki + 2 + iv * *n], &c__1); i__4 = j - ki - 2; work[j + (iv + 1) * *n] -= ddot_(&i__4, &t[ki + 2 + j * t_dim1], &c__1, &work[ki + 2 + (iv + 1) * *n], &c__1); i__4 = j - ki - 2; work[j + 1 + iv * *n] -= ddot_(&i__4, &t[ki + 2 + (j + 1) * t_dim1], &c__1, &work[ki + 2 + iv * *n], &c__1); i__4 = j - ki - 2; work[j + 1 + (iv + 1) * *n] -= ddot_(&i__4, &t[ki + 2 + (j + 1) * t_dim1], &c__1, &work[ki + 2 + (iv + 1) * *n], &c__1); d__1 = -wi; dlaln2_(&c_true, &c__2, &c__2, &smin, &c_b29, &t[j + j * t_dim1], ldt, &c_b29, &c_b29, &work[j + iv * *n], n, &wr, &d__1, x, &c__2, &scale, &xnorm, &ierr); if (scale != 1.) { i__4 = *n - ki + 1; dscal_(&i__4, &scale, &work[ki + iv * *n], &c__1); i__4 = *n - ki + 1; dscal_(&i__4, &scale, &work[ki + (iv + 1) * *n], &c__1); } work[j + iv * *n] = x[0]; work[j + (iv + 1) * *n] = x[2]; work[j + 1 + iv * *n] = x[1]; work[j + 1 + (iv + 1) * *n] = x[3]; d__1 = abs(x[0]), d__2 = abs(x[2]), d__1 = max(d__1, d__2), d__2 = abs(x[1]), d__1 = max(d__1, d__2), d__2 = abs(x[3]), d__1 = max(d__1, d__2); vmax = max(d__1, vmax); vcrit = bignum / vmax; } L200:; } if (!over) { i__3 = *n - ki + 1; dcopy_(&i__3, &work[ki + iv * *n], &c__1, &vl[ki + is * vl_dim1], &c__1); i__3 = *n - ki + 1; dcopy_(&i__3, &work[ki + (iv + 1) * *n], &c__1, &vl[ki + (is + 1) * vl_dim1], &c__1); emax = 0.; i__3 = *n; for (k = ki; k <= i__3; ++k) { d__3 = emax, d__4 = (d__1 = vl[k + is * vl_dim1], abs(d__1)) + (d__2 = vl[k + (is + 1) * vl_dim1], abs(d__2)); emax = max(d__3, d__4); } remax = 1. / emax; i__3 = *n - ki + 1; dscal_(&i__3, &remax, &vl[ki + is * vl_dim1], &c__1); i__3 = *n - ki + 1; dscal_(&i__3, &remax, &vl[ki + (is + 1) * vl_dim1], &c__1); i__3 = ki - 1; for (k = 1; k <= i__3; ++k) { vl[k + is * vl_dim1] = 0.; vl[k + (is + 1) * vl_dim1] = 0.; } } else if (nb == 1) { if (ki < *n - 1) { i__3 = *n - ki - 1; dgemv_((char *)"N", n, &i__3, &c_b29, &vl[(ki + 2) * vl_dim1 + 1], ldvl, &work[ki + 2 + iv * *n], &c__1, &work[ki + iv * *n], &vl[ki * vl_dim1 + 1], &c__1, (ftnlen)1); i__3 = *n - ki - 1; dgemv_((char *)"N", n, &i__3, &c_b29, &vl[(ki + 2) * vl_dim1 + 1], ldvl, &work[ki + 2 + (iv + 1) * *n], &c__1, &work[ki + 1 + (iv + 1) * *n], &vl[(ki + 1) * vl_dim1 + 1], &c__1, (ftnlen)1); } else { dscal_(n, &work[ki + iv * *n], &vl[ki * vl_dim1 + 1], &c__1); dscal_(n, &work[ki + 1 + (iv + 1) * *n], &vl[(ki + 1) * vl_dim1 + 1], &c__1); } emax = 0.; i__3 = *n; for (k = 1; k <= i__3; ++k) { d__3 = emax, d__4 = (d__1 = vl[k + ki * vl_dim1], abs(d__1)) + (d__2 = vl[k + (ki + 1) * vl_dim1], abs(d__2)); emax = max(d__3, d__4); } remax = 1. / emax; dscal_(n, &remax, &vl[ki * vl_dim1 + 1], &c__1); dscal_(n, &remax, &vl[(ki + 1) * vl_dim1 + 1], &c__1); } else { i__3 = ki - 1; for (k = 1; k <= i__3; ++k) { work[k + iv * *n] = 0.; work[k + (iv + 1) * *n] = 0.; } iscomplex[iv - 1] = ip; iscomplex[iv] = -ip; ++iv; } } if (nb > 1) { if (ip == 0) { ki2 = ki; } else { ki2 = ki + 1; } if (iv >= nb - 1 || ki2 == *n) { i__3 = *n - ki2 + iv; dgemm_((char *)"N", (char *)"N", n, &iv, &i__3, &c_b29, &vl[(ki2 - iv + 1) * vl_dim1 + 1], ldvl, &work[ki2 - iv + 1 + *n], n, &c_b17, &work[(nb + 1) * *n + 1], n, (ftnlen)1, (ftnlen)1); i__3 = iv; for (k = 1; k <= i__3; ++k) { if (iscomplex[k - 1] == 0) { ii = idamax_(n, &work[(nb + k) * *n + 1], &c__1); remax = 1. / (d__1 = work[ii + (nb + k) * *n], abs(d__1)); } else if (iscomplex[k - 1] == 1) { emax = 0.; i__4 = *n; for (ii = 1; ii <= i__4; ++ii) { d__3 = emax, d__4 = (d__1 = work[ii + (nb + k) * *n], abs(d__1)) + (d__2 = work[ii + (nb + k + 1) * *n], abs(d__2)); emax = max(d__3, d__4); } remax = 1. / emax; } dscal_(n, &remax, &work[(nb + k) * *n + 1], &c__1); } dlacpy_((char *)"F", n, &iv, &work[(nb + 1) * *n + 1], n, &vl[(ki2 - iv + 1) * vl_dim1 + 1], ldvl, (ftnlen)1); iv = 1; } else { ++iv; } } ++is; if (ip != 0) { ++is; } L260:; } } return 0; } #ifdef __cplusplus } #endif