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authorshmel1k <shmel1k@ydb.tech>2022-09-02 12:44:59 +0300
committershmel1k <shmel1k@ydb.tech>2022-09-02 12:44:59 +0300
commit90d450f74722da7859d6f510a869f6c6908fd12f (patch)
tree538c718dedc76cdfe37ad6d01ff250dd930d9278 /contrib/libs/clapack/dtgevc.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/dtgevc.c')
-rw-r--r--contrib/libs/clapack/dtgevc.c1418
1 files changed, 1418 insertions, 0 deletions
diff --git a/contrib/libs/clapack/dtgevc.c b/contrib/libs/clapack/dtgevc.c
new file mode 100644
index 0000000000..e411ffcb0b
--- /dev/null
+++ b/contrib/libs/clapack/dtgevc.c
@@ -0,0 +1,1418 @@
+/* dtgevc.f -- translated by f2c (version 20061008).
+ You must link the resulting object file with libf2c:
+ on Microsoft Windows system, link with libf2c.lib;
+ on Linux or Unix systems, link with .../path/to/libf2c.a -lm
+ or, if you install libf2c.a in a standard place, with -lf2c -lm
+ -- in that order, at the end of the command line, as in
+ cc *.o -lf2c -lm
+ Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,
+
+ http://www.netlib.org/f2c/libf2c.zip
+*/
+
+#include "f2c.h"
+#include "blaswrap.h"
+
+/* Table of constant values */
+
+static logical c_true = TRUE_;
+static integer c__2 = 2;
+static doublereal c_b34 = 1.;
+static integer c__1 = 1;
+static doublereal c_b36 = 0.;
+static logical c_false = FALSE_;
+
+/* Subroutine */ int dtgevc_(char *side, char *howmny, logical *select,
+ integer *n, doublereal *s, integer *lds, doublereal *p, integer *ldp,
+ doublereal *vl, integer *ldvl, doublereal *vr, integer *ldvr, integer
+ *mm, integer *m, doublereal *work, integer *info)
+{
+ /* System generated locals */
+ integer p_dim1, p_offset, s_dim1, s_offset, vl_dim1, vl_offset, vr_dim1,
+ vr_offset, i__1, i__2, i__3, i__4, i__5;
+ doublereal d__1, d__2, d__3, d__4, d__5, d__6;
+
+ /* Local variables */
+ integer i__, j, ja, jc, je, na, im, jr, jw, nw;
+ doublereal big;
+ logical lsa, lsb;
+ doublereal ulp, sum[4] /* was [2][2] */;
+ integer ibeg, ieig, iend;
+ doublereal dmin__, temp, xmax, sump[4] /* was [2][2] */, sums[4]
+ /* was [2][2] */;
+ extern /* Subroutine */ int dlag2_(doublereal *, integer *, doublereal *,
+ integer *, doublereal *, doublereal *, doublereal *, doublereal *,
+ doublereal *, doublereal *);
+ doublereal cim2a, cim2b, cre2a, cre2b, temp2, bdiag[2], acoef, scale;
+ logical ilall;
+ integer iside;
+ doublereal sbeta;
+ extern logical lsame_(char *, char *);
+ extern /* Subroutine */ int dgemv_(char *, integer *, integer *,
+ doublereal *, doublereal *, integer *, doublereal *, integer *,
+ doublereal *, doublereal *, integer *);
+ logical il2by2;
+ integer iinfo;
+ doublereal small;
+ logical compl;
+ doublereal anorm, bnorm;
+ logical compr;
+ extern /* Subroutine */ int dlaln2_(logical *, integer *, integer *,
+ doublereal *, doublereal *, doublereal *, integer *, doublereal *,
+ doublereal *, doublereal *, integer *, doublereal *, doublereal *
+, doublereal *, integer *, doublereal *, doublereal *, integer *);
+ doublereal temp2i;
+ extern /* Subroutine */ int dlabad_(doublereal *, doublereal *);
+ doublereal temp2r;
+ logical ilabad, ilbbad;
+ doublereal acoefa, bcoefa, cimaga, cimagb;
+ logical ilback;
+ doublereal bcoefi, ascale, bscale, creala, crealb;
+ extern doublereal dlamch_(char *);
+ doublereal bcoefr, salfar, safmin;
+ extern /* Subroutine */ int dlacpy_(char *, integer *, integer *,
+ doublereal *, integer *, doublereal *, integer *);
+ doublereal xscale, bignum;
+ extern /* Subroutine */ int xerbla_(char *, integer *);
+ logical ilcomp, ilcplx;
+ integer ihwmny;
+
+
+/* -- LAPACK routine (version 3.2) -- */
+/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/* November 2006 */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+
+/* Purpose */
+/* ======= */
+
+/* DTGEVC computes some or all of the right and/or left eigenvectors of */
+/* a pair of real matrices (S,P), where S is a quasi-triangular matrix */
+/* and P is upper triangular. Matrix pairs of this type are produced by */
+/* the generalized Schur factorization of a matrix pair (A,B): */
+
+/* A = Q*S*Z**T, B = Q*P*Z**T */
+
+/* as computed by DGGHRD + DHGEQZ. */
+
+/* The right eigenvector x and the left eigenvector y of (S,P) */
+/* corresponding to an eigenvalue w are defined by: */
+
+/* S*x = w*P*x, (y**H)*S = w*(y**H)*P, */
+
+/* where y**H denotes the conjugate tranpose of y. */
+/* The eigenvalues are not input to this routine, but are computed */
+/* directly from the diagonal blocks of S and P. */
+
+/* This routine returns the matrices X and/or Y of right and left */
+/* eigenvectors of (S,P), or the products Z*X and/or Q*Y, */
+/* where Z and Q are input matrices. */
+/* If Q and Z are the orthogonal factors from the generalized Schur */
+/* factorization of a matrix pair (A,B), then Z*X and Q*Y */
+/* are the matrices of right and left eigenvectors of (A,B). */
+
+/* Arguments */
+/* ========= */
+
+/* SIDE (input) CHARACTER*1 */
+/* = 'R': compute right eigenvectors only; */
+/* = 'L': compute left eigenvectors only; */
+/* = 'B': compute both right and left eigenvectors. */
+
+/* HOWMNY (input) CHARACTER*1 */
+/* = 'A': compute all right and/or left eigenvectors; */
+/* = 'B': compute all right and/or left eigenvectors, */
+/* backtransformed by the matrices in VR and/or VL; */
+/* = 'S': compute selected right and/or left eigenvectors, */
+/* specified by the logical array SELECT. */
+
+/* SELECT (input) LOGICAL array, dimension (N) */
+/* If HOWMNY='S', SELECT specifies the eigenvectors to be */
+/* computed. If w(j) is a real eigenvalue, the corresponding */
+/* real eigenvector is computed if SELECT(j) is .TRUE.. */
+/* If w(j) and w(j+1) are the real and imaginary parts of a */
+/* complex eigenvalue, the corresponding complex eigenvector */
+/* is computed if either SELECT(j) or SELECT(j+1) is .TRUE., */
+/* and on exit SELECT(j) is set to .TRUE. and SELECT(j+1) is */
+/* set to .FALSE.. */
+/* Not referenced if HOWMNY = 'A' or 'B'. */
+
+/* N (input) INTEGER */
+/* The order of the matrices S and P. N >= 0. */
+
+/* S (input) DOUBLE PRECISION array, dimension (LDS,N) */
+/* The upper quasi-triangular matrix S from a generalized Schur */
+/* factorization, as computed by DHGEQZ. */
+
+/* LDS (input) INTEGER */
+/* The leading dimension of array S. LDS >= max(1,N). */
+
+/* P (input) DOUBLE PRECISION array, dimension (LDP,N) */
+/* The upper triangular matrix P from a generalized Schur */
+/* factorization, as computed by DHGEQZ. */
+/* 2-by-2 diagonal blocks of P corresponding to 2-by-2 blocks */
+/* of S must be in positive diagonal form. */
+
+/* LDP (input) INTEGER */
+/* The leading dimension of array P. LDP >= max(1,N). */
+
+/* VL (input/output) DOUBLE PRECISION array, dimension (LDVL,MM) */
+/* On entry, if SIDE = 'L' or 'B' and HOWMNY = 'B', VL must */
+/* contain an N-by-N matrix Q (usually the orthogonal matrix Q */
+/* of left Schur vectors returned by DHGEQZ). */
+/* On exit, if SIDE = 'L' or 'B', VL contains: */
+/* if HOWMNY = 'A', the matrix Y of left eigenvectors of (S,P); */
+/* if HOWMNY = 'B', the matrix Q*Y; */
+/* if HOWMNY = 'S', the left eigenvectors of (S,P) specified by */
+/* SELECT, stored consecutively in the columns of */
+/* VL, in the same order as their eigenvalues. */
+
+/* A complex eigenvector corresponding to a complex eigenvalue */
+/* is stored in two consecutive columns, the first holding the */
+/* real part, and the second the imaginary part. */
+
+/* Not referenced if SIDE = 'R'. */
+
+/* LDVL (input) INTEGER */
+/* The leading dimension of array VL. LDVL >= 1, and if */
+/* SIDE = 'L' or 'B', LDVL >= N. */
+
+/* VR (input/output) DOUBLE PRECISION array, dimension (LDVR,MM) */
+/* On entry, if SIDE = 'R' or 'B' and HOWMNY = 'B', VR must */
+/* contain an N-by-N matrix Z (usually the orthogonal matrix Z */
+/* of right Schur vectors returned by DHGEQZ). */
+
+/* On exit, if SIDE = 'R' or 'B', VR contains: */
+/* if HOWMNY = 'A', the matrix X of right eigenvectors of (S,P); */
+/* if HOWMNY = 'B' or 'b', the matrix Z*X; */
+/* if HOWMNY = 'S' or 's', the right eigenvectors of (S,P) */
+/* specified by SELECT, stored consecutively in the */
+/* columns of VR, in the same order as their */
+/* eigenvalues. */
+
+/* A complex eigenvector corresponding to a complex eigenvalue */
+/* is stored in two consecutive columns, the first holding the */
+/* real part and the second the imaginary part. */
+
+/* Not referenced if SIDE = 'L'. */
+
+/* LDVR (input) INTEGER */
+/* The leading dimension of the array VR. LDVR >= 1, and if */
+/* SIDE = 'R' or 'B', LDVR >= N. */
+
+/* MM (input) INTEGER */
+/* The number of columns in the arrays VL and/or VR. MM >= M. */
+
+/* M (output) INTEGER */
+/* The number of columns in the arrays VL and/or VR actually */
+/* used to store the eigenvectors. If HOWMNY = 'A' or 'B', M */
+/* is set to N. Each selected real eigenvector occupies one */
+/* column and each selected complex eigenvector occupies two */
+/* columns. */
+
+/* WORK (workspace) DOUBLE PRECISION array, dimension (6*N) */
+
+/* INFO (output) INTEGER */
+/* = 0: successful exit. */
+/* < 0: if INFO = -i, the i-th argument had an illegal value. */
+/* > 0: the 2-by-2 block (INFO:INFO+1) does not have a complex */
+/* eigenvalue. */
+
+/* Further Details */
+/* =============== */
+
+/* Allocation of workspace: */
+/* ---------- -- --------- */
+
+/* WORK( j ) = 1-norm of j-th column of A, above the diagonal */
+/* WORK( N+j ) = 1-norm of j-th column of B, above the diagonal */
+/* WORK( 2*N+1:3*N ) = real part of eigenvector */
+/* WORK( 3*N+1:4*N ) = imaginary part of eigenvector */
+/* WORK( 4*N+1:5*N ) = real part of back-transformed eigenvector */
+/* WORK( 5*N+1:6*N ) = imaginary part of back-transformed eigenvector */
+
+/* Rowwise vs. columnwise solution methods: */
+/* ------- -- ---------- -------- ------- */
+
+/* Finding a generalized eigenvector consists basically of solving the */
+/* singular triangular system */
+
+/* (A - w B) x = 0 (for right) or: (A - w B)**H y = 0 (for left) */
+
+/* Consider finding the i-th right eigenvector (assume all eigenvalues */
+/* are real). The equation to be solved is: */
+/* n i */
+/* 0 = sum C(j,k) v(k) = sum C(j,k) v(k) for j = i,. . .,1 */
+/* k=j k=j */
+
+/* where C = (A - w B) (The components v(i+1:n) are 0.) */
+
+/* The "rowwise" method is: */
+
+/* (1) v(i) := 1 */
+/* for j = i-1,. . .,1: */
+/* i */
+/* (2) compute s = - sum C(j,k) v(k) and */
+/* k=j+1 */
+
+/* (3) v(j) := s / C(j,j) */
+
+/* Step 2 is sometimes called the "dot product" step, since it is an */
+/* inner product between the j-th row and the portion of the eigenvector */
+/* that has been computed so far. */
+
+/* The "columnwise" method consists basically in doing the sums */
+/* for all the rows in parallel. As each v(j) is computed, the */
+/* contribution of v(j) times the j-th column of C is added to the */
+/* partial sums. Since FORTRAN arrays are stored columnwise, this has */
+/* the advantage that at each step, the elements of C that are accessed */
+/* are adjacent to one another, whereas with the rowwise method, the */
+/* elements accessed at a step are spaced LDS (and LDP) words apart. */
+
+/* When finding left eigenvectors, the matrix in question is the */
+/* transpose of the one in storage, so the rowwise method then */
+/* actually accesses columns of A and B at each step, and so is the */
+/* preferred method. */
+
+/* ===================================================================== */
+
+/* .. Parameters .. */
+/* .. */
+/* .. Local Scalars .. */
+/* .. */
+/* .. Local Arrays .. */
+/* .. */
+/* .. External Functions .. */
+/* .. */
+/* .. External Subroutines .. */
+/* .. */
+/* .. Intrinsic Functions .. */
+/* .. */
+/* .. Executable Statements .. */
+
+/* Decode and Test the input parameters */
+
+ /* Parameter adjustments */
+ --select;
+ s_dim1 = *lds;
+ s_offset = 1 + s_dim1;
+ s -= s_offset;
+ p_dim1 = *ldp;
+ p_offset = 1 + p_dim1;
+ p -= p_offset;
+ vl_dim1 = *ldvl;
+ vl_offset = 1 + vl_dim1;
+ vl -= vl_offset;
+ vr_dim1 = *ldvr;
+ vr_offset = 1 + vr_dim1;
+ vr -= vr_offset;
+ --work;
+
+ /* Function Body */
+ if (lsame_(howmny, "A")) {
+ ihwmny = 1;
+ ilall = TRUE_;
+ ilback = FALSE_;
+ } else if (lsame_(howmny, "S")) {
+ ihwmny = 2;
+ ilall = FALSE_;
+ ilback = FALSE_;
+ } else if (lsame_(howmny, "B")) {
+ ihwmny = 3;
+ ilall = TRUE_;
+ ilback = TRUE_;
+ } else {
+ ihwmny = -1;
+ ilall = TRUE_;
+ }
+
+ if (lsame_(side, "R")) {
+ iside = 1;
+ compl = FALSE_;
+ compr = TRUE_;
+ } else if (lsame_(side, "L")) {
+ iside = 2;
+ compl = TRUE_;
+ compr = FALSE_;
+ } else if (lsame_(side, "B")) {
+ iside = 3;
+ compl = TRUE_;
+ compr = TRUE_;
+ } else {
+ iside = -1;
+ }
+
+ *info = 0;
+ if (iside < 0) {
+ *info = -1;
+ } else if (ihwmny < 0) {
+ *info = -2;
+ } else if (*n < 0) {
+ *info = -4;
+ } else if (*lds < max(1,*n)) {
+ *info = -6;
+ } else if (*ldp < max(1,*n)) {
+ *info = -8;
+ }
+ if (*info != 0) {
+ i__1 = -(*info);
+ xerbla_("DTGEVC", &i__1);
+ return 0;
+ }
+
+/* Count the number of eigenvectors to be computed */
+
+ if (! ilall) {
+ im = 0;
+ ilcplx = FALSE_;
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+ if (ilcplx) {
+ ilcplx = FALSE_;
+ goto L10;
+ }
+ if (j < *n) {
+ if (s[j + 1 + j * s_dim1] != 0.) {
+ ilcplx = TRUE_;
+ }
+ }
+ if (ilcplx) {
+ if (select[j] || select[j + 1]) {
+ im += 2;
+ }
+ } else {
+ if (select[j]) {
+ ++im;
+ }
+ }
+L10:
+ ;
+ }
+ } else {
+ im = *n;
+ }
+
+/* Check 2-by-2 diagonal blocks of A, B */
+
+ ilabad = FALSE_;
+ ilbbad = FALSE_;
+ i__1 = *n - 1;
+ for (j = 1; j <= i__1; ++j) {
+ if (s[j + 1 + j * s_dim1] != 0.) {
+ if (p[j + j * p_dim1] == 0. || p[j + 1 + (j + 1) * p_dim1] == 0.
+ || p[j + (j + 1) * p_dim1] != 0.) {
+ ilbbad = TRUE_;
+ }
+ if (j < *n - 1) {
+ if (s[j + 2 + (j + 1) * s_dim1] != 0.) {
+ ilabad = TRUE_;
+ }
+ }
+ }
+/* L20: */
+ }
+
+ if (ilabad) {
+ *info = -5;
+ } else if (ilbbad) {
+ *info = -7;
+ } else if (compl && *ldvl < *n || *ldvl < 1) {
+ *info = -10;
+ } else if (compr && *ldvr < *n || *ldvr < 1) {
+ *info = -12;
+ } else if (*mm < im) {
+ *info = -13;
+ }
+ if (*info != 0) {
+ i__1 = -(*info);
+ xerbla_("DTGEVC", &i__1);
+ return 0;
+ }
+
+/* Quick return if possible */
+
+ *m = im;
+ if (*n == 0) {
+ return 0;
+ }
+
+/* Machine Constants */
+
+ safmin = dlamch_("Safe minimum");
+ big = 1. / safmin;
+ dlabad_(&safmin, &big);
+ ulp = dlamch_("Epsilon") * dlamch_("Base");
+ small = safmin * *n / ulp;
+ big = 1. / small;
+ bignum = 1. / (safmin * *n);
+
+/* Compute the 1-norm of each column of the strictly upper triangular */
+/* part (i.e., excluding all elements belonging to the diagonal */
+/* blocks) of A and B to check for possible overflow in the */
+/* triangular solver. */
+
+ anorm = (d__1 = s[s_dim1 + 1], abs(d__1));
+ if (*n > 1) {
+ anorm += (d__1 = s[s_dim1 + 2], abs(d__1));
+ }
+ bnorm = (d__1 = p[p_dim1 + 1], abs(d__1));
+ work[1] = 0.;
+ work[*n + 1] = 0.;
+
+ i__1 = *n;
+ for (j = 2; j <= i__1; ++j) {
+ temp = 0.;
+ temp2 = 0.;
+ if (s[j + (j - 1) * s_dim1] == 0.) {
+ iend = j - 1;
+ } else {
+ iend = j - 2;
+ }
+ i__2 = iend;
+ for (i__ = 1; i__ <= i__2; ++i__) {
+ temp += (d__1 = s[i__ + j * s_dim1], abs(d__1));
+ temp2 += (d__1 = p[i__ + j * p_dim1], abs(d__1));
+/* L30: */
+ }
+ work[j] = temp;
+ work[*n + j] = temp2;
+/* Computing MIN */
+ i__3 = j + 1;
+ i__2 = min(i__3,*n);
+ for (i__ = iend + 1; i__ <= i__2; ++i__) {
+ temp += (d__1 = s[i__ + j * s_dim1], abs(d__1));
+ temp2 += (d__1 = p[i__ + j * p_dim1], abs(d__1));
+/* L40: */
+ }
+ anorm = max(anorm,temp);
+ bnorm = max(bnorm,temp2);
+/* L50: */
+ }
+
+ ascale = 1. / max(anorm,safmin);
+ bscale = 1. / max(bnorm,safmin);
+
+/* Left eigenvectors */
+
+ if (compl) {
+ ieig = 0;
+
+/* Main loop over eigenvalues */
+
+ ilcplx = FALSE_;
+ i__1 = *n;
+ for (je = 1; je <= i__1; ++je) {
+
+/* Skip this iteration if (a) HOWMNY='S' and SELECT=.FALSE., or */
+/* (b) this would be the second of a complex pair. */
+/* Check for complex eigenvalue, so as to be sure of which */
+/* entry(-ies) of SELECT to look at. */
+
+ if (ilcplx) {
+ ilcplx = FALSE_;
+ goto L220;
+ }
+ nw = 1;
+ if (je < *n) {
+ if (s[je + 1 + je * s_dim1] != 0.) {
+ ilcplx = TRUE_;
+ nw = 2;
+ }
+ }
+ if (ilall) {
+ ilcomp = TRUE_;
+ } else if (ilcplx) {
+ ilcomp = select[je] || select[je + 1];
+ } else {
+ ilcomp = select[je];
+ }
+ if (! ilcomp) {
+ goto L220;
+ }
+
+/* Decide if (a) singular pencil, (b) real eigenvalue, or */
+/* (c) complex eigenvalue. */
+
+ if (! ilcplx) {
+ if ((d__1 = s[je + je * s_dim1], abs(d__1)) <= safmin && (
+ d__2 = p[je + je * p_dim1], abs(d__2)) <= safmin) {
+
+/* Singular matrix pencil -- return unit eigenvector */
+
+ ++ieig;
+ i__2 = *n;
+ for (jr = 1; jr <= i__2; ++jr) {
+ vl[jr + ieig * vl_dim1] = 0.;
+/* L60: */
+ }
+ vl[ieig + ieig * vl_dim1] = 1.;
+ goto L220;
+ }
+ }
+
+/* Clear vector */
+
+ i__2 = nw * *n;
+ for (jr = 1; jr <= i__2; ++jr) {
+ work[(*n << 1) + jr] = 0.;
+/* L70: */
+ }
+/* T */
+/* Compute coefficients in ( a A - b B ) y = 0 */
+/* a is ACOEF */
+/* b is BCOEFR + i*BCOEFI */
+
+ if (! ilcplx) {
+
+/* Real eigenvalue */
+
+/* Computing MAX */
+ d__3 = (d__1 = s[je + je * s_dim1], abs(d__1)) * ascale, d__4
+ = (d__2 = p[je + je * p_dim1], abs(d__2)) * bscale,
+ d__3 = max(d__3,d__4);
+ temp = 1. / max(d__3,safmin);
+ salfar = temp * s[je + je * s_dim1] * ascale;
+ sbeta = temp * p[je + je * p_dim1] * bscale;
+ acoef = sbeta * ascale;
+ bcoefr = salfar * bscale;
+ bcoefi = 0.;
+
+/* Scale to avoid underflow */
+
+ scale = 1.;
+ lsa = abs(sbeta) >= safmin && abs(acoef) < small;
+ lsb = abs(salfar) >= safmin && abs(bcoefr) < small;
+ if (lsa) {
+ scale = small / abs(sbeta) * min(anorm,big);
+ }
+ if (lsb) {
+/* Computing MAX */
+ d__1 = scale, d__2 = small / abs(salfar) * min(bnorm,big);
+ scale = max(d__1,d__2);
+ }
+ if (lsa || lsb) {
+/* Computing MIN */
+/* Computing MAX */
+ d__3 = 1., d__4 = abs(acoef), d__3 = max(d__3,d__4), d__4
+ = abs(bcoefr);
+ d__1 = scale, d__2 = 1. / (safmin * max(d__3,d__4));
+ scale = min(d__1,d__2);
+ if (lsa) {
+ acoef = ascale * (scale * sbeta);
+ } else {
+ acoef = scale * acoef;
+ }
+ if (lsb) {
+ bcoefr = bscale * (scale * salfar);
+ } else {
+ bcoefr = scale * bcoefr;
+ }
+ }
+ acoefa = abs(acoef);
+ bcoefa = abs(bcoefr);
+
+/* First component is 1 */
+
+ work[(*n << 1) + je] = 1.;
+ xmax = 1.;
+ } else {
+
+/* Complex eigenvalue */
+
+ d__1 = safmin * 100.;
+ dlag2_(&s[je + je * s_dim1], lds, &p[je + je * p_dim1], ldp, &
+ d__1, &acoef, &temp, &bcoefr, &temp2, &bcoefi);
+ bcoefi = -bcoefi;
+ if (bcoefi == 0.) {
+ *info = je;
+ return 0;
+ }
+
+/* Scale to avoid over/underflow */
+
+ acoefa = abs(acoef);
+ bcoefa = abs(bcoefr) + abs(bcoefi);
+ scale = 1.;
+ if (acoefa * ulp < safmin && acoefa >= safmin) {
+ scale = safmin / ulp / acoefa;
+ }
+ if (bcoefa * ulp < safmin && bcoefa >= safmin) {
+/* Computing MAX */
+ d__1 = scale, d__2 = safmin / ulp / bcoefa;
+ scale = max(d__1,d__2);
+ }
+ if (safmin * acoefa > ascale) {
+ scale = ascale / (safmin * acoefa);
+ }
+ if (safmin * bcoefa > bscale) {
+/* Computing MIN */
+ d__1 = scale, d__2 = bscale / (safmin * bcoefa);
+ scale = min(d__1,d__2);
+ }
+ if (scale != 1.) {
+ acoef = scale * acoef;
+ acoefa = abs(acoef);
+ bcoefr = scale * bcoefr;
+ bcoefi = scale * bcoefi;
+ bcoefa = abs(bcoefr) + abs(bcoefi);
+ }
+
+/* Compute first two components of eigenvector */
+
+ temp = acoef * s[je + 1 + je * s_dim1];
+ temp2r = acoef * s[je + je * s_dim1] - bcoefr * p[je + je *
+ p_dim1];
+ temp2i = -bcoefi * p[je + je * p_dim1];
+ if (abs(temp) > abs(temp2r) + abs(temp2i)) {
+ work[(*n << 1) + je] = 1.;
+ work[*n * 3 + je] = 0.;
+ work[(*n << 1) + je + 1] = -temp2r / temp;
+ work[*n * 3 + je + 1] = -temp2i / temp;
+ } else {
+ work[(*n << 1) + je + 1] = 1.;
+ work[*n * 3 + je + 1] = 0.;
+ temp = acoef * s[je + (je + 1) * s_dim1];
+ work[(*n << 1) + je] = (bcoefr * p[je + 1 + (je + 1) *
+ p_dim1] - acoef * s[je + 1 + (je + 1) * s_dim1]) /
+ temp;
+ work[*n * 3 + je] = bcoefi * p[je + 1 + (je + 1) * p_dim1]
+ / temp;
+ }
+/* Computing MAX */
+ d__5 = (d__1 = work[(*n << 1) + je], abs(d__1)) + (d__2 =
+ work[*n * 3 + je], abs(d__2)), d__6 = (d__3 = work[(*
+ n << 1) + je + 1], abs(d__3)) + (d__4 = work[*n * 3 +
+ je + 1], abs(d__4));
+ xmax = max(d__5,d__6);
+ }
+
+/* Computing MAX */
+ d__1 = ulp * acoefa * anorm, d__2 = ulp * bcoefa * bnorm, d__1 =
+ max(d__1,d__2);
+ dmin__ = max(d__1,safmin);
+
+/* T */
+/* Triangular solve of (a A - b B) y = 0 */
+
+/* T */
+/* (rowwise in (a A - b B) , or columnwise in (a A - b B) ) */
+
+ il2by2 = FALSE_;
+
+ i__2 = *n;
+ for (j = je + nw; j <= i__2; ++j) {
+ if (il2by2) {
+ il2by2 = FALSE_;
+ goto L160;
+ }
+
+ na = 1;
+ bdiag[0] = p[j + j * p_dim1];
+ if (j < *n) {
+ if (s[j + 1 + j * s_dim1] != 0.) {
+ il2by2 = TRUE_;
+ bdiag[1] = p[j + 1 + (j + 1) * p_dim1];
+ na = 2;
+ }
+ }
+
+/* Check whether scaling is necessary for dot products */
+
+ xscale = 1. / max(1.,xmax);
+/* Computing MAX */
+ d__1 = work[j], d__2 = work[*n + j], d__1 = max(d__1,d__2),
+ d__2 = acoefa * work[j] + bcoefa * work[*n + j];
+ temp = max(d__1,d__2);
+ if (il2by2) {
+/* Computing MAX */
+ d__1 = temp, d__2 = work[j + 1], d__1 = max(d__1,d__2),
+ d__2 = work[*n + j + 1], d__1 = max(d__1,d__2),
+ d__2 = acoefa * work[j + 1] + bcoefa * work[*n +
+ j + 1];
+ temp = max(d__1,d__2);
+ }
+ if (temp > bignum * xscale) {
+ i__3 = nw - 1;
+ for (jw = 0; jw <= i__3; ++jw) {
+ i__4 = j - 1;
+ for (jr = je; jr <= i__4; ++jr) {
+ work[(jw + 2) * *n + jr] = xscale * work[(jw + 2)
+ * *n + jr];
+/* L80: */
+ }
+/* L90: */
+ }
+ xmax *= xscale;
+ }
+
+/* Compute dot products */
+
+/* j-1 */
+/* SUM = sum conjg( a*S(k,j) - b*P(k,j) )*x(k) */
+/* k=je */
+
+/* To reduce the op count, this is done as */
+
+/* _ j-1 _ j-1 */
+/* a*conjg( sum S(k,j)*x(k) ) - b*conjg( sum P(k,j)*x(k) ) */
+/* k=je k=je */
+
+/* which may cause underflow problems if A or B are close */
+/* to underflow. (E.g., less than SMALL.) */
+
+
+/* A series of compiler directives to defeat vectorization */
+/* for the next loop */
+
+/* $PL$ CMCHAR=' ' */
+/* DIR$ NEXTSCALAR */
+/* $DIR SCALAR */
+/* DIR$ NEXT SCALAR */
+/* VD$L NOVECTOR */
+/* DEC$ NOVECTOR */
+/* VD$ NOVECTOR */
+/* VDIR NOVECTOR */
+/* VOCL LOOP,SCALAR */
+/* IBM PREFER SCALAR */
+/* $PL$ CMCHAR='*' */
+
+ i__3 = nw;
+ for (jw = 1; jw <= i__3; ++jw) {
+
+/* $PL$ CMCHAR=' ' */
+/* DIR$ NEXTSCALAR */
+/* $DIR SCALAR */
+/* DIR$ NEXT SCALAR */
+/* VD$L NOVECTOR */
+/* DEC$ NOVECTOR */
+/* VD$ NOVECTOR */
+/* VDIR NOVECTOR */
+/* VOCL LOOP,SCALAR */
+/* IBM PREFER SCALAR */
+/* $PL$ CMCHAR='*' */
+
+ i__4 = na;
+ for (ja = 1; ja <= i__4; ++ja) {
+ sums[ja + (jw << 1) - 3] = 0.;
+ sump[ja + (jw << 1) - 3] = 0.;
+
+ i__5 = j - 1;
+ for (jr = je; jr <= i__5; ++jr) {
+ sums[ja + (jw << 1) - 3] += s[jr + (j + ja - 1) *
+ s_dim1] * work[(jw + 1) * *n + jr];
+ sump[ja + (jw << 1) - 3] += p[jr + (j + ja - 1) *
+ p_dim1] * work[(jw + 1) * *n + jr];
+/* L100: */
+ }
+/* L110: */
+ }
+/* L120: */
+ }
+
+/* $PL$ CMCHAR=' ' */
+/* DIR$ NEXTSCALAR */
+/* $DIR SCALAR */
+/* DIR$ NEXT SCALAR */
+/* VD$L NOVECTOR */
+/* DEC$ NOVECTOR */
+/* VD$ NOVECTOR */
+/* VDIR NOVECTOR */
+/* VOCL LOOP,SCALAR */
+/* IBM PREFER SCALAR */
+/* $PL$ CMCHAR='*' */
+
+ i__3 = na;
+ for (ja = 1; ja <= i__3; ++ja) {
+ if (ilcplx) {
+ sum[ja - 1] = -acoef * sums[ja - 1] + bcoefr * sump[
+ ja - 1] - bcoefi * sump[ja + 1];
+ sum[ja + 1] = -acoef * sums[ja + 1] + bcoefr * sump[
+ ja + 1] + bcoefi * sump[ja - 1];
+ } else {
+ sum[ja - 1] = -acoef * sums[ja - 1] + bcoefr * sump[
+ ja - 1];
+ }
+/* L130: */
+ }
+
+/* T */
+/* Solve ( a A - b B ) y = SUM(,) */
+/* with scaling and perturbation of the denominator */
+
+ dlaln2_(&c_true, &na, &nw, &dmin__, &acoef, &s[j + j * s_dim1]
+, lds, bdiag, &bdiag[1], sum, &c__2, &bcoefr, &bcoefi,
+ &work[(*n << 1) + j], n, &scale, &temp, &iinfo);
+ if (scale < 1.) {
+ i__3 = nw - 1;
+ for (jw = 0; jw <= i__3; ++jw) {
+ i__4 = j - 1;
+ for (jr = je; jr <= i__4; ++jr) {
+ work[(jw + 2) * *n + jr] = scale * work[(jw + 2) *
+ *n + jr];
+/* L140: */
+ }
+/* L150: */
+ }
+ xmax = scale * xmax;
+ }
+ xmax = max(xmax,temp);
+L160:
+ ;
+ }
+
+/* Copy eigenvector to VL, back transforming if */
+/* HOWMNY='B'. */
+
+ ++ieig;
+ if (ilback) {
+ i__2 = nw - 1;
+ for (jw = 0; jw <= i__2; ++jw) {
+ i__3 = *n + 1 - je;
+ dgemv_("N", n, &i__3, &c_b34, &vl[je * vl_dim1 + 1], ldvl,
+ &work[(jw + 2) * *n + je], &c__1, &c_b36, &work[(
+ jw + 4) * *n + 1], &c__1);
+/* L170: */
+ }
+ dlacpy_(" ", n, &nw, &work[(*n << 2) + 1], n, &vl[je *
+ vl_dim1 + 1], ldvl);
+ ibeg = 1;
+ } else {
+ dlacpy_(" ", n, &nw, &work[(*n << 1) + 1], n, &vl[ieig *
+ vl_dim1 + 1], ldvl);
+ ibeg = je;
+ }
+
+/* Scale eigenvector */
+
+ xmax = 0.;
+ if (ilcplx) {
+ i__2 = *n;
+ for (j = ibeg; j <= i__2; ++j) {
+/* Computing MAX */
+ d__3 = xmax, d__4 = (d__1 = vl[j + ieig * vl_dim1], abs(
+ d__1)) + (d__2 = vl[j + (ieig + 1) * vl_dim1],
+ abs(d__2));
+ xmax = max(d__3,d__4);
+/* L180: */
+ }
+ } else {
+ i__2 = *n;
+ for (j = ibeg; j <= i__2; ++j) {
+/* Computing MAX */
+ d__2 = xmax, d__3 = (d__1 = vl[j + ieig * vl_dim1], abs(
+ d__1));
+ xmax = max(d__2,d__3);
+/* L190: */
+ }
+ }
+
+ if (xmax > safmin) {
+ xscale = 1. / xmax;
+
+ i__2 = nw - 1;
+ for (jw = 0; jw <= i__2; ++jw) {
+ i__3 = *n;
+ for (jr = ibeg; jr <= i__3; ++jr) {
+ vl[jr + (ieig + jw) * vl_dim1] = xscale * vl[jr + (
+ ieig + jw) * vl_dim1];
+/* L200: */
+ }
+/* L210: */
+ }
+ }
+ ieig = ieig + nw - 1;
+
+L220:
+ ;
+ }
+ }
+
+/* Right eigenvectors */
+
+ if (compr) {
+ ieig = im + 1;
+
+/* Main loop over eigenvalues */
+
+ ilcplx = FALSE_;
+ for (je = *n; je >= 1; --je) {
+
+/* Skip this iteration if (a) HOWMNY='S' and SELECT=.FALSE., or */
+/* (b) this would be the second of a complex pair. */
+/* Check for complex eigenvalue, so as to be sure of which */
+/* entry(-ies) of SELECT to look at -- if complex, SELECT(JE) */
+/* or SELECT(JE-1). */
+/* If this is a complex pair, the 2-by-2 diagonal block */
+/* corresponding to the eigenvalue is in rows/columns JE-1:JE */
+
+ if (ilcplx) {
+ ilcplx = FALSE_;
+ goto L500;
+ }
+ nw = 1;
+ if (je > 1) {
+ if (s[je + (je - 1) * s_dim1] != 0.) {
+ ilcplx = TRUE_;
+ nw = 2;
+ }
+ }
+ if (ilall) {
+ ilcomp = TRUE_;
+ } else if (ilcplx) {
+ ilcomp = select[je] || select[je - 1];
+ } else {
+ ilcomp = select[je];
+ }
+ if (! ilcomp) {
+ goto L500;
+ }
+
+/* Decide if (a) singular pencil, (b) real eigenvalue, or */
+/* (c) complex eigenvalue. */
+
+ if (! ilcplx) {
+ if ((d__1 = s[je + je * s_dim1], abs(d__1)) <= safmin && (
+ d__2 = p[je + je * p_dim1], abs(d__2)) <= safmin) {
+
+/* Singular matrix pencil -- unit eigenvector */
+
+ --ieig;
+ i__1 = *n;
+ for (jr = 1; jr <= i__1; ++jr) {
+ vr[jr + ieig * vr_dim1] = 0.;
+/* L230: */
+ }
+ vr[ieig + ieig * vr_dim1] = 1.;
+ goto L500;
+ }
+ }
+
+/* Clear vector */
+
+ i__1 = nw - 1;
+ for (jw = 0; jw <= i__1; ++jw) {
+ i__2 = *n;
+ for (jr = 1; jr <= i__2; ++jr) {
+ work[(jw + 2) * *n + jr] = 0.;
+/* L240: */
+ }
+/* L250: */
+ }
+
+/* Compute coefficients in ( a A - b B ) x = 0 */
+/* a is ACOEF */
+/* b is BCOEFR + i*BCOEFI */
+
+ if (! ilcplx) {
+
+/* Real eigenvalue */
+
+/* Computing MAX */
+ d__3 = (d__1 = s[je + je * s_dim1], abs(d__1)) * ascale, d__4
+ = (d__2 = p[je + je * p_dim1], abs(d__2)) * bscale,
+ d__3 = max(d__3,d__4);
+ temp = 1. / max(d__3,safmin);
+ salfar = temp * s[je + je * s_dim1] * ascale;
+ sbeta = temp * p[je + je * p_dim1] * bscale;
+ acoef = sbeta * ascale;
+ bcoefr = salfar * bscale;
+ bcoefi = 0.;
+
+/* Scale to avoid underflow */
+
+ scale = 1.;
+ lsa = abs(sbeta) >= safmin && abs(acoef) < small;
+ lsb = abs(salfar) >= safmin && abs(bcoefr) < small;
+ if (lsa) {
+ scale = small / abs(sbeta) * min(anorm,big);
+ }
+ if (lsb) {
+/* Computing MAX */
+ d__1 = scale, d__2 = small / abs(salfar) * min(bnorm,big);
+ scale = max(d__1,d__2);
+ }
+ if (lsa || lsb) {
+/* Computing MIN */
+/* Computing MAX */
+ d__3 = 1., d__4 = abs(acoef), d__3 = max(d__3,d__4), d__4
+ = abs(bcoefr);
+ d__1 = scale, d__2 = 1. / (safmin * max(d__3,d__4));
+ scale = min(d__1,d__2);
+ if (lsa) {
+ acoef = ascale * (scale * sbeta);
+ } else {
+ acoef = scale * acoef;
+ }
+ if (lsb) {
+ bcoefr = bscale * (scale * salfar);
+ } else {
+ bcoefr = scale * bcoefr;
+ }
+ }
+ acoefa = abs(acoef);
+ bcoefa = abs(bcoefr);
+
+/* First component is 1 */
+
+ work[(*n << 1) + je] = 1.;
+ xmax = 1.;
+
+/* Compute contribution from column JE of A and B to sum */
+/* (See "Further Details", above.) */
+
+ i__1 = je - 1;
+ for (jr = 1; jr <= i__1; ++jr) {
+ work[(*n << 1) + jr] = bcoefr * p[jr + je * p_dim1] -
+ acoef * s[jr + je * s_dim1];
+/* L260: */
+ }
+ } else {
+
+/* Complex eigenvalue */
+
+ d__1 = safmin * 100.;
+ dlag2_(&s[je - 1 + (je - 1) * s_dim1], lds, &p[je - 1 + (je -
+ 1) * p_dim1], ldp, &d__1, &acoef, &temp, &bcoefr, &
+ temp2, &bcoefi);
+ if (bcoefi == 0.) {
+ *info = je - 1;
+ return 0;
+ }
+
+/* Scale to avoid over/underflow */
+
+ acoefa = abs(acoef);
+ bcoefa = abs(bcoefr) + abs(bcoefi);
+ scale = 1.;
+ if (acoefa * ulp < safmin && acoefa >= safmin) {
+ scale = safmin / ulp / acoefa;
+ }
+ if (bcoefa * ulp < safmin && bcoefa >= safmin) {
+/* Computing MAX */
+ d__1 = scale, d__2 = safmin / ulp / bcoefa;
+ scale = max(d__1,d__2);
+ }
+ if (safmin * acoefa > ascale) {
+ scale = ascale / (safmin * acoefa);
+ }
+ if (safmin * bcoefa > bscale) {
+/* Computing MIN */
+ d__1 = scale, d__2 = bscale / (safmin * bcoefa);
+ scale = min(d__1,d__2);
+ }
+ if (scale != 1.) {
+ acoef = scale * acoef;
+ acoefa = abs(acoef);
+ bcoefr = scale * bcoefr;
+ bcoefi = scale * bcoefi;
+ bcoefa = abs(bcoefr) + abs(bcoefi);
+ }
+
+/* Compute first two components of eigenvector */
+/* and contribution to sums */
+
+ temp = acoef * s[je + (je - 1) * s_dim1];
+ temp2r = acoef * s[je + je * s_dim1] - bcoefr * p[je + je *
+ p_dim1];
+ temp2i = -bcoefi * p[je + je * p_dim1];
+ if (abs(temp) >= abs(temp2r) + abs(temp2i)) {
+ work[(*n << 1) + je] = 1.;
+ work[*n * 3 + je] = 0.;
+ work[(*n << 1) + je - 1] = -temp2r / temp;
+ work[*n * 3 + je - 1] = -temp2i / temp;
+ } else {
+ work[(*n << 1) + je - 1] = 1.;
+ work[*n * 3 + je - 1] = 0.;
+ temp = acoef * s[je - 1 + je * s_dim1];
+ work[(*n << 1) + je] = (bcoefr * p[je - 1 + (je - 1) *
+ p_dim1] - acoef * s[je - 1 + (je - 1) * s_dim1]) /
+ temp;
+ work[*n * 3 + je] = bcoefi * p[je - 1 + (je - 1) * p_dim1]
+ / temp;
+ }
+
+/* Computing MAX */
+ d__5 = (d__1 = work[(*n << 1) + je], abs(d__1)) + (d__2 =
+ work[*n * 3 + je], abs(d__2)), d__6 = (d__3 = work[(*
+ n << 1) + je - 1], abs(d__3)) + (d__4 = work[*n * 3 +
+ je - 1], abs(d__4));
+ xmax = max(d__5,d__6);
+
+/* Compute contribution from columns JE and JE-1 */
+/* of A and B to the sums. */
+
+ creala = acoef * work[(*n << 1) + je - 1];
+ cimaga = acoef * work[*n * 3 + je - 1];
+ crealb = bcoefr * work[(*n << 1) + je - 1] - bcoefi * work[*n
+ * 3 + je - 1];
+ cimagb = bcoefi * work[(*n << 1) + je - 1] + bcoefr * work[*n
+ * 3 + je - 1];
+ cre2a = acoef * work[(*n << 1) + je];
+ cim2a = acoef * work[*n * 3 + je];
+ cre2b = bcoefr * work[(*n << 1) + je] - bcoefi * work[*n * 3
+ + je];
+ cim2b = bcoefi * work[(*n << 1) + je] + bcoefr * work[*n * 3
+ + je];
+ i__1 = je - 2;
+ for (jr = 1; jr <= i__1; ++jr) {
+ work[(*n << 1) + jr] = -creala * s[jr + (je - 1) * s_dim1]
+ + crealb * p[jr + (je - 1) * p_dim1] - cre2a * s[
+ jr + je * s_dim1] + cre2b * p[jr + je * p_dim1];
+ work[*n * 3 + jr] = -cimaga * s[jr + (je - 1) * s_dim1] +
+ cimagb * p[jr + (je - 1) * p_dim1] - cim2a * s[jr
+ + je * s_dim1] + cim2b * p[jr + je * p_dim1];
+/* L270: */
+ }
+ }
+
+/* Computing MAX */
+ d__1 = ulp * acoefa * anorm, d__2 = ulp * bcoefa * bnorm, d__1 =
+ max(d__1,d__2);
+ dmin__ = max(d__1,safmin);
+
+/* Columnwise triangular solve of (a A - b B) x = 0 */
+
+ il2by2 = FALSE_;
+ for (j = je - nw; j >= 1; --j) {
+
+/* If a 2-by-2 block, is in position j-1:j, wait until */
+/* next iteration to process it (when it will be j:j+1) */
+
+ if (! il2by2 && j > 1) {
+ if (s[j + (j - 1) * s_dim1] != 0.) {
+ il2by2 = TRUE_;
+ goto L370;
+ }
+ }
+ bdiag[0] = p[j + j * p_dim1];
+ if (il2by2) {
+ na = 2;
+ bdiag[1] = p[j + 1 + (j + 1) * p_dim1];
+ } else {
+ na = 1;
+ }
+
+/* Compute x(j) (and x(j+1), if 2-by-2 block) */
+
+ dlaln2_(&c_false, &na, &nw, &dmin__, &acoef, &s[j + j *
+ s_dim1], lds, bdiag, &bdiag[1], &work[(*n << 1) + j],
+ n, &bcoefr, &bcoefi, sum, &c__2, &scale, &temp, &
+ iinfo);
+ if (scale < 1.) {
+
+ i__1 = nw - 1;
+ for (jw = 0; jw <= i__1; ++jw) {
+ i__2 = je;
+ for (jr = 1; jr <= i__2; ++jr) {
+ work[(jw + 2) * *n + jr] = scale * work[(jw + 2) *
+ *n + jr];
+/* L280: */
+ }
+/* L290: */
+ }
+ }
+/* Computing MAX */
+ d__1 = scale * xmax;
+ xmax = max(d__1,temp);
+
+ i__1 = nw;
+ for (jw = 1; jw <= i__1; ++jw) {
+ i__2 = na;
+ for (ja = 1; ja <= i__2; ++ja) {
+ work[(jw + 1) * *n + j + ja - 1] = sum[ja + (jw << 1)
+ - 3];
+/* L300: */
+ }
+/* L310: */
+ }
+
+/* w = w + x(j)*(a S(*,j) - b P(*,j) ) with scaling */
+
+ if (j > 1) {
+
+/* Check whether scaling is necessary for sum. */
+
+ xscale = 1. / max(1.,xmax);
+ temp = acoefa * work[j] + bcoefa * work[*n + j];
+ if (il2by2) {
+/* Computing MAX */
+ d__1 = temp, d__2 = acoefa * work[j + 1] + bcoefa *
+ work[*n + j + 1];
+ temp = max(d__1,d__2);
+ }
+/* Computing MAX */
+ d__1 = max(temp,acoefa);
+ temp = max(d__1,bcoefa);
+ if (temp > bignum * xscale) {
+
+ i__1 = nw - 1;
+ for (jw = 0; jw <= i__1; ++jw) {
+ i__2 = je;
+ for (jr = 1; jr <= i__2; ++jr) {
+ work[(jw + 2) * *n + jr] = xscale * work[(jw
+ + 2) * *n + jr];
+/* L320: */
+ }
+/* L330: */
+ }
+ xmax *= xscale;
+ }
+
+/* Compute the contributions of the off-diagonals of */
+/* column j (and j+1, if 2-by-2 block) of A and B to the */
+/* sums. */
+
+
+ i__1 = na;
+ for (ja = 1; ja <= i__1; ++ja) {
+ if (ilcplx) {
+ creala = acoef * work[(*n << 1) + j + ja - 1];
+ cimaga = acoef * work[*n * 3 + j + ja - 1];
+ crealb = bcoefr * work[(*n << 1) + j + ja - 1] -
+ bcoefi * work[*n * 3 + j + ja - 1];
+ cimagb = bcoefi * work[(*n << 1) + j + ja - 1] +
+ bcoefr * work[*n * 3 + j + ja - 1];
+ i__2 = j - 1;
+ for (jr = 1; jr <= i__2; ++jr) {
+ work[(*n << 1) + jr] = work[(*n << 1) + jr] -
+ creala * s[jr + (j + ja - 1) * s_dim1]
+ + crealb * p[jr + (j + ja - 1) *
+ p_dim1];
+ work[*n * 3 + jr] = work[*n * 3 + jr] -
+ cimaga * s[jr + (j + ja - 1) * s_dim1]
+ + cimagb * p[jr + (j + ja - 1) *
+ p_dim1];
+/* L340: */
+ }
+ } else {
+ creala = acoef * work[(*n << 1) + j + ja - 1];
+ crealb = bcoefr * work[(*n << 1) + j + ja - 1];
+ i__2 = j - 1;
+ for (jr = 1; jr <= i__2; ++jr) {
+ work[(*n << 1) + jr] = work[(*n << 1) + jr] -
+ creala * s[jr + (j + ja - 1) * s_dim1]
+ + crealb * p[jr + (j + ja - 1) *
+ p_dim1];
+/* L350: */
+ }
+ }
+/* L360: */
+ }
+ }
+
+ il2by2 = FALSE_;
+L370:
+ ;
+ }
+
+/* Copy eigenvector to VR, back transforming if */
+/* HOWMNY='B'. */
+
+ ieig -= nw;
+ if (ilback) {
+
+ i__1 = nw - 1;
+ for (jw = 0; jw <= i__1; ++jw) {
+ i__2 = *n;
+ for (jr = 1; jr <= i__2; ++jr) {
+ work[(jw + 4) * *n + jr] = work[(jw + 2) * *n + 1] *
+ vr[jr + vr_dim1];
+/* L380: */
+ }
+
+/* A series of compiler directives to defeat */
+/* vectorization for the next loop */
+
+
+ i__2 = je;
+ for (jc = 2; jc <= i__2; ++jc) {
+ i__3 = *n;
+ for (jr = 1; jr <= i__3; ++jr) {
+ work[(jw + 4) * *n + jr] += work[(jw + 2) * *n +
+ jc] * vr[jr + jc * vr_dim1];
+/* L390: */
+ }
+/* L400: */
+ }
+/* L410: */
+ }
+
+ i__1 = nw - 1;
+ for (jw = 0; jw <= i__1; ++jw) {
+ i__2 = *n;
+ for (jr = 1; jr <= i__2; ++jr) {
+ vr[jr + (ieig + jw) * vr_dim1] = work[(jw + 4) * *n +
+ jr];
+/* L420: */
+ }
+/* L430: */
+ }
+
+ iend = *n;
+ } else {
+ i__1 = nw - 1;
+ for (jw = 0; jw <= i__1; ++jw) {
+ i__2 = *n;
+ for (jr = 1; jr <= i__2; ++jr) {
+ vr[jr + (ieig + jw) * vr_dim1] = work[(jw + 2) * *n +
+ jr];
+/* L440: */
+ }
+/* L450: */
+ }
+
+ iend = je;
+ }
+
+/* Scale eigenvector */
+
+ xmax = 0.;
+ if (ilcplx) {
+ i__1 = iend;
+ for (j = 1; j <= i__1; ++j) {
+/* Computing MAX */
+ d__3 = xmax, d__4 = (d__1 = vr[j + ieig * vr_dim1], abs(
+ d__1)) + (d__2 = vr[j + (ieig + 1) * vr_dim1],
+ abs(d__2));
+ xmax = max(d__3,d__4);
+/* L460: */
+ }
+ } else {
+ i__1 = iend;
+ for (j = 1; j <= i__1; ++j) {
+/* Computing MAX */
+ d__2 = xmax, d__3 = (d__1 = vr[j + ieig * vr_dim1], abs(
+ d__1));
+ xmax = max(d__2,d__3);
+/* L470: */
+ }
+ }
+
+ if (xmax > safmin) {
+ xscale = 1. / xmax;
+ i__1 = nw - 1;
+ for (jw = 0; jw <= i__1; ++jw) {
+ i__2 = iend;
+ for (jr = 1; jr <= i__2; ++jr) {
+ vr[jr + (ieig + jw) * vr_dim1] = xscale * vr[jr + (
+ ieig + jw) * vr_dim1];
+/* L480: */
+ }
+/* L490: */
+ }
+ }
+L500:
+ ;
+ }
+ }
+
+ return 0;
+
+/* End of DTGEVC */
+
+} /* dtgevc_ */