1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319
|
/* ../SRC/dngets.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"
/* Common Block Declarations */
struct {
integer logfil, ndigit, mgetv0, msaupd, msaup2, msaitr, mseigt, msapps,
msgets, mseupd, mnaupd, mnaup2, mnaitr, mneigh, mnapps, mngets,
mneupd, mcaupd, mcaup2, mcaitr, mceigh, mcapps, mcgets, mceupd;
} debug_;
#define debug_1 debug_
struct {
integer nopx, nbx, nrorth, nitref, nrstrt;
real tsaupd, tsaup2, tsaitr, tseigt, tsgets, tsapps, tsconv, tnaupd,
tnaup2, tnaitr, tneigh, tngets, tnapps, tnconv, tcaupd, tcaup2,
tcaitr, tceigh, tcgets, tcapps, tcconv, tmvopx, tmvbx, tgetv0,
titref, trvec;
} timing_;
#define timing_1 timing_
/* Table of constant values */
static logical c_true = TRUE_;
static integer c__1 = 1;
/* ----------------------------------------------------------------------- */
/* \BeginDoc */
/* \Name: dngets */
/* \Description: */
/* Given the eigenvalues of the upper Hessenberg matrix H, */
/* computes the NP shifts AMU that are zeros of the polynomial of */
/* degree NP which filters out components of the unwanted eigenvectors */
/* corresponding to the AMU's based on some given criteria. */
/* NOTE: call this even in the case of user specified shifts in order */
/* to sort the eigenvalues, and error bounds of H for later use. */
/* \Usage: */
/* call dngets */
/* ( ISHIFT, WHICH, KEV, NP, RITZR, RITZI, BOUNDS, SHIFTR, SHIFTI ) */
/* \Arguments */
/* ISHIFT Integer. (INPUT) */
/* Method for selecting the implicit shifts at each iteration. */
/* ISHIFT = 0: user specified shifts */
/* ISHIFT = 1: exact shift with respect to the matrix H. */
/* WHICH Character*2. (INPUT) */
/* Shift selection criteria. */
/* 'LM' -> want the KEV eigenvalues of largest magnitude. */
/* 'SM' -> want the KEV eigenvalues of smallest magnitude. */
/* 'LR' -> want the KEV eigenvalues of largest real part. */
/* 'SR' -> want the KEV eigenvalues of smallest real part. */
/* 'LI' -> want the KEV eigenvalues of largest imaginary part. */
/* 'SI' -> want the KEV eigenvalues of smallest imaginary part. */
/* KEV Integer. (INPUT/OUTPUT) */
/* INPUT: KEV+NP is the size of the matrix H. */
/* OUTPUT: Possibly increases KEV by one to keep complex conjugate */
/* pairs together. */
/* NP Integer. (INPUT/OUTPUT) */
/* Number of implicit shifts to be computed. */
/* OUTPUT: Possibly decreases NP by one to keep complex conjugate */
/* pairs together. */
/* RITZR, Double precision array of length KEV+NP. (INPUT/OUTPUT) */
/* RITZI On INPUT, RITZR and RITZI contain the real and imaginary */
/* parts of the eigenvalues of H. */
/* On OUTPUT, RITZR and RITZI are sorted so that the unwanted */
/* eigenvalues are in the first NP locations and the wanted */
/* portion is in the last KEV locations. When exact shifts are */
/* selected, the unwanted part corresponds to the shifts to */
/* be applied. Also, if ISHIFT .eq. 1, the unwanted eigenvalues */
/* are further sorted so that the ones with largest Ritz values */
/* are first. */
/* BOUNDS Double precision array of length KEV+NP. (INPUT/OUTPUT) */
/* Error bounds corresponding to the ordering in RITZ. */
/* SHIFTR, SHIFTI *** USE deprecated as of version 2.1. *** */
/* \EndDoc */
/* ----------------------------------------------------------------------- */
/* \BeginLib */
/* \Local variables: */
/* xxxxxx real */
/* \Routines called: */
/* dsortc ARPACK sorting routine. */
/* dcopy Level 1 BLAS that copies one vector to another . */
/* \Author */
/* Danny Sorensen Phuong Vu */
/* Richard Lehoucq CRPC / Rice University */
/* Dept. of Computational & Houston, Texas */
/* Applied Mathematics */
/* Rice University */
/* Houston, Texas */
/* \Revision history: */
/* xx/xx/92: Version ' 2.1' */
/* \SCCS Information: @(#) */
/* FILE: ngets.F SID: 2.3 DATE OF SID: 4/20/96 RELEASE: 2 */
/* \Remarks */
/* 1. xxxx */
/* \EndLib */
/* ----------------------------------------------------------------------- */
/* Subroutine */ int dngets_(integer *ishift, char *which, integer *kev,
integer *np, doublereal *ritzr, doublereal *ritzi, doublereal *bounds,
doublereal *shiftr, doublereal *shifti, ftnlen which_len)
{
/* System generated locals */
integer i__1;
/* Builtin functions */
integer s_cmp(char *, char *, ftnlen, ftnlen);
/* Local variables */
static real t0, t1;
extern /* Subroutine */ int dvout_(integer *, integer *, doublereal *,
integer *, char *, ftnlen), ivout_(integer *, integer *, integer *
, integer *, char *, ftnlen), second_(real *);
static integer msglvl;
extern /* Subroutine */ int dsortc_(char *, logical *, integer *,
doublereal *, doublereal *, doublereal *, ftnlen);
/* %----------------------------------------------------% */
/* | Include files for debugging and timing information | */
/* %----------------------------------------------------% */
/* \SCCS Information: @(#) */
/* FILE: debug.h SID: 2.3 DATE OF SID: 11/16/95 RELEASE: 2 */
/* %---------------------------------% */
/* | See debug.doc for documentation | */
/* %---------------------------------% */
/* %------------------% */
/* | Scalar Arguments | */
/* %------------------% */
/* %--------------------------------% */
/* | See stat.doc for documentation | */
/* %--------------------------------% */
/* \SCCS Information: @(#) */
/* FILE: stat.h SID: 2.2 DATE OF SID: 11/16/95 RELEASE: 2 */
/* %-----------------% */
/* | Array Arguments | */
/* %-----------------% */
/* %------------% */
/* | Parameters | */
/* %------------% */
/* %---------------% */
/* | Local Scalars | */
/* %---------------% */
/* %----------------------% */
/* | External Subroutines | */
/* %----------------------% */
/* %----------------------% */
/* | Intrinsics Functions | */
/* %----------------------% */
/* %-----------------------% */
/* | Executable Statements | */
/* %-----------------------% */
/* %-------------------------------% */
/* | Initialize timing statistics | */
/* | & message level for debugging | */
/* %-------------------------------% */
/* Parameter adjustments */
--bounds;
--ritzi;
--ritzr;
--shiftr;
--shifti;
/* Function Body */
second_(&t0);
msglvl = debug_1.mngets;
/* %----------------------------------------------------% */
/* | LM, SM, LR, SR, LI, SI case. | */
/* | Sort the eigenvalues of H into the desired order | */
/* | and apply the resulting order to BOUNDS. | */
/* | The eigenvalues are sorted so that the wanted part | */
/* | are always in the last KEV locations. | */
/* | We first do a pre-processing sort in order to keep | */
/* | complex conjugate pairs together | */
/* %----------------------------------------------------% */
if (s_cmp(which, "LM", (ftnlen)2, (ftnlen)2) == 0) {
i__1 = *kev + *np;
dsortc_("LR", &c_true, &i__1, &ritzr[1], &ritzi[1], &bounds[1], (
ftnlen)2);
} else if (s_cmp(which, "SM", (ftnlen)2, (ftnlen)2) == 0) {
i__1 = *kev + *np;
dsortc_("SR", &c_true, &i__1, &ritzr[1], &ritzi[1], &bounds[1], (
ftnlen)2);
} else if (s_cmp(which, "LR", (ftnlen)2, (ftnlen)2) == 0) {
i__1 = *kev + *np;
dsortc_("LM", &c_true, &i__1, &ritzr[1], &ritzi[1], &bounds[1], (
ftnlen)2);
} else if (s_cmp(which, "SR", (ftnlen)2, (ftnlen)2) == 0) {
i__1 = *kev + *np;
dsortc_("SM", &c_true, &i__1, &ritzr[1], &ritzi[1], &bounds[1], (
ftnlen)2);
} else if (s_cmp(which, "LI", (ftnlen)2, (ftnlen)2) == 0) {
i__1 = *kev + *np;
dsortc_("LM", &c_true, &i__1, &ritzr[1], &ritzi[1], &bounds[1], (
ftnlen)2);
} else if (s_cmp(which, "SI", (ftnlen)2, (ftnlen)2) == 0) {
i__1 = *kev + *np;
dsortc_("SM", &c_true, &i__1, &ritzr[1], &ritzi[1], &bounds[1], (
ftnlen)2);
}
i__1 = *kev + *np;
dsortc_(which, &c_true, &i__1, &ritzr[1], &ritzi[1], &bounds[1], (ftnlen)
2);
/* %-------------------------------------------------------% */
/* | Increase KEV by one if the ( ritzr(np),ritzi(np) ) | */
/* | = ( ritzr(np+1),-ritzi(np+1) ) and ritz(np) .ne. zero | */
/* | Accordingly decrease NP by one. In other words keep | */
/* | complex conjugate pairs together. | */
/* %-------------------------------------------------------% */
if (ritzr[*np + 1] - ritzr[*np] == 0. && ritzi[*np + 1] + ritzi[*np] ==
0.) {
--(*np);
++(*kev);
}
if (*ishift == 1) {
/* %-------------------------------------------------------% */
/* | Sort the unwanted Ritz values used as shifts so that | */
/* | the ones with largest Ritz estimates are first | */
/* | This will tend to minimize the effects of the | */
/* | forward instability of the iteration when they shifts | */
/* | are applied in subroutine dnapps. | */
/* | Be careful and use 'SR' since we want to sort BOUNDS! | */
/* %-------------------------------------------------------% */
dsortc_("SR", &c_true, np, &bounds[1], &ritzr[1], &ritzi[1], (ftnlen)
2);
}
second_(&t1);
timing_1.tngets += t1 - t0;
if (msglvl > 0) {
ivout_(&debug_1.logfil, &c__1, kev, &debug_1.ndigit, "_ngets: KEV is",
(ftnlen)14);
ivout_(&debug_1.logfil, &c__1, np, &debug_1.ndigit, "_ngets: NP is", (
ftnlen)13);
i__1 = *kev + *np;
dvout_(&debug_1.logfil, &i__1, &ritzr[1], &debug_1.ndigit, "_ngets: "
"Eigenvalues of current H matrix -- real part", (ftnlen)52);
i__1 = *kev + *np;
dvout_(&debug_1.logfil, &i__1, &ritzi[1], &debug_1.ndigit, "_ngets: "
"Eigenvalues of current H matrix -- imag part", (ftnlen)52);
i__1 = *kev + *np;
dvout_(&debug_1.logfil, &i__1, &bounds[1], &debug_1.ndigit, "_ngets:"
" Ritz estimates of the current KEV+NP Ritz values", (ftnlen)
56);
}
return 0;
/* %---------------% */
/* | End of dngets | */
/* %---------------% */
} /* dngets_ */
|