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strexc.c 22 kB

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  1. /* f2c.h -- Standard Fortran to C header file */
  2. /** barf [ba:rf] 2. "He suggested using FORTRAN, and everybody barfed."
  3. - From The Shogakukan DICTIONARY OF NEW ENGLISH (Second edition) */
  4. #ifndef F2C_INCLUDE
  5. #define F2C_INCLUDE
  6. #include <math.h>
  7. #include <stdlib.h>
  8. #include <string.h>
  9. #include <stdio.h>
  10. #include <complex.h>
  11. #ifdef complex
  12. #undef complex
  13. #endif
  14. #ifdef I
  15. #undef I
  16. #endif
  17. typedef int integer;
  18. typedef unsigned int uinteger;
  19. typedef char *address;
  20. typedef short int shortint;
  21. typedef float real;
  22. typedef double doublereal;
  23. typedef struct { real r, i; } complex;
  24. typedef struct { doublereal r, i; } doublecomplex;
  25. static inline _Complex float Cf(complex *z) {return z->r + z->i*_Complex_I;}
  26. static inline _Complex double Cd(doublecomplex *z) {return z->r + z->i*_Complex_I;}
  27. static inline _Complex float * _pCf(complex *z) {return (_Complex float*)z;}
  28. static inline _Complex double * _pCd(doublecomplex *z) {return (_Complex double*)z;}
  29. #define pCf(z) (*_pCf(z))
  30. #define pCd(z) (*_pCd(z))
  31. typedef int logical;
  32. typedef short int shortlogical;
  33. typedef char logical1;
  34. typedef char integer1;
  35. #define TRUE_ (1)
  36. #define FALSE_ (0)
  37. /* Extern is for use with -E */
  38. #ifndef Extern
  39. #define Extern extern
  40. #endif
  41. /* I/O stuff */
  42. typedef int flag;
  43. typedef int ftnlen;
  44. typedef int ftnint;
  45. /*external read, write*/
  46. typedef struct
  47. { flag cierr;
  48. ftnint ciunit;
  49. flag ciend;
  50. char *cifmt;
  51. ftnint cirec;
  52. } cilist;
  53. /*internal read, write*/
  54. typedef struct
  55. { flag icierr;
  56. char *iciunit;
  57. flag iciend;
  58. char *icifmt;
  59. ftnint icirlen;
  60. ftnint icirnum;
  61. } icilist;
  62. /*open*/
  63. typedef struct
  64. { flag oerr;
  65. ftnint ounit;
  66. char *ofnm;
  67. ftnlen ofnmlen;
  68. char *osta;
  69. char *oacc;
  70. char *ofm;
  71. ftnint orl;
  72. char *oblnk;
  73. } olist;
  74. /*close*/
  75. typedef struct
  76. { flag cerr;
  77. ftnint cunit;
  78. char *csta;
  79. } cllist;
  80. /*rewind, backspace, endfile*/
  81. typedef struct
  82. { flag aerr;
  83. ftnint aunit;
  84. } alist;
  85. /* inquire */
  86. typedef struct
  87. { flag inerr;
  88. ftnint inunit;
  89. char *infile;
  90. ftnlen infilen;
  91. ftnint *inex; /*parameters in standard's order*/
  92. ftnint *inopen;
  93. ftnint *innum;
  94. ftnint *innamed;
  95. char *inname;
  96. ftnlen innamlen;
  97. char *inacc;
  98. ftnlen inacclen;
  99. char *inseq;
  100. ftnlen inseqlen;
  101. char *indir;
  102. ftnlen indirlen;
  103. char *infmt;
  104. ftnlen infmtlen;
  105. char *inform;
  106. ftnint informlen;
  107. char *inunf;
  108. ftnlen inunflen;
  109. ftnint *inrecl;
  110. ftnint *innrec;
  111. char *inblank;
  112. ftnlen inblanklen;
  113. } inlist;
  114. #define VOID void
  115. union Multitype { /* for multiple entry points */
  116. integer1 g;
  117. shortint h;
  118. integer i;
  119. /* longint j; */
  120. real r;
  121. doublereal d;
  122. complex c;
  123. doublecomplex z;
  124. };
  125. typedef union Multitype Multitype;
  126. struct Vardesc { /* for Namelist */
  127. char *name;
  128. char *addr;
  129. ftnlen *dims;
  130. int type;
  131. };
  132. typedef struct Vardesc Vardesc;
  133. struct Namelist {
  134. char *name;
  135. Vardesc **vars;
  136. int nvars;
  137. };
  138. typedef struct Namelist Namelist;
  139. #define abs(x) ((x) >= 0 ? (x) : -(x))
  140. #define dabs(x) (fabs(x))
  141. #define f2cmin(a,b) ((a) <= (b) ? (a) : (b))
  142. #define f2cmax(a,b) ((a) >= (b) ? (a) : (b))
  143. #define dmin(a,b) (f2cmin(a,b))
  144. #define dmax(a,b) (f2cmax(a,b))
  145. #define bit_test(a,b) ((a) >> (b) & 1)
  146. #define bit_clear(a,b) ((a) & ~((uinteger)1 << (b)))
  147. #define bit_set(a,b) ((a) | ((uinteger)1 << (b)))
  148. #define abort_() { sig_die("Fortran abort routine called", 1); }
  149. #define c_abs(z) (cabsf(Cf(z)))
  150. #define c_cos(R,Z) { pCf(R)=ccos(Cf(Z)); }
  151. #define c_div(c, a, b) {pCf(c) = Cf(a)/Cf(b);}
  152. #define z_div(c, a, b) {pCd(c) = Cd(a)/Cd(b);}
  153. #define c_exp(R, Z) {pCf(R) = cexpf(Cf(Z));}
  154. #define c_log(R, Z) {pCf(R) = clogf(Cf(Z));}
  155. #define c_sin(R, Z) {pCf(R) = csinf(Cf(Z));}
  156. //#define c_sqrt(R, Z) {*(R) = csqrtf(Cf(Z));}
  157. #define c_sqrt(R, Z) {pCf(R) = csqrtf(Cf(Z));}
  158. #define d_abs(x) (fabs(*(x)))
  159. #define d_acos(x) (acos(*(x)))
  160. #define d_asin(x) (asin(*(x)))
  161. #define d_atan(x) (atan(*(x)))
  162. #define d_atn2(x, y) (atan2(*(x),*(y)))
  163. #define d_cnjg(R, Z) { pCd(R) = conj(Cd(Z)); }
  164. #define r_cnjg(R, Z) { pCf(R) = conj(Cf(Z)); }
  165. #define d_cos(x) (cos(*(x)))
  166. #define d_cosh(x) (cosh(*(x)))
  167. #define d_dim(__a, __b) ( *(__a) > *(__b) ? *(__a) - *(__b) : 0.0 )
  168. #define d_exp(x) (exp(*(x)))
  169. #define d_imag(z) (cimag(Cd(z)))
  170. #define r_imag(z) (cimag(Cf(z)))
  171. #define d_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  172. #define r_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  173. #define d_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  174. #define r_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  175. #define d_log(x) (log(*(x)))
  176. #define d_mod(x, y) (fmod(*(x), *(y)))
  177. #define u_nint(__x) ((__x)>=0 ? floor((__x) + .5) : -floor(.5 - (__x)))
  178. #define d_nint(x) u_nint(*(x))
  179. #define u_sign(__a,__b) ((__b) >= 0 ? ((__a) >= 0 ? (__a) : -(__a)) : -((__a) >= 0 ? (__a) : -(__a)))
  180. #define d_sign(a,b) u_sign(*(a),*(b))
  181. #define r_sign(a,b) u_sign(*(a),*(b))
  182. #define d_sin(x) (sin(*(x)))
  183. #define d_sinh(x) (sinh(*(x)))
  184. #define d_sqrt(x) (sqrt(*(x)))
  185. #define d_tan(x) (tan(*(x)))
  186. #define d_tanh(x) (tanh(*(x)))
  187. #define i_abs(x) abs(*(x))
  188. #define i_dnnt(x) ((integer)u_nint(*(x)))
  189. #define i_len(s, n) (n)
  190. #define i_nint(x) ((integer)u_nint(*(x)))
  191. #define i_sign(a,b) ((integer)u_sign((integer)*(a),(integer)*(b)))
  192. #define pow_dd(ap, bp) ( pow(*(ap), *(bp)))
  193. #define pow_si(B,E) spow_ui(*(B),*(E))
  194. #define pow_ri(B,E) spow_ui(*(B),*(E))
  195. #define pow_di(B,E) dpow_ui(*(B),*(E))
  196. #define pow_zi(p, a, b) {pCd(p) = zpow_ui(Cd(a), *(b));}
  197. #define pow_ci(p, a, b) {pCf(p) = cpow_ui(Cf(a), *(b));}
  198. #define pow_zz(R,A,B) {pCd(R) = cpow(Cd(A),*(B));}
  199. #define s_cat(lpp, rpp, rnp, np, llp) { ftnlen i, nc, ll; char *f__rp, *lp; ll = (llp); lp = (lpp); for(i=0; i < (int)*(np); ++i) { nc = ll; if((rnp)[i] < nc) nc = (rnp)[i]; ll -= nc; f__rp = (rpp)[i]; while(--nc >= 0) *lp++ = *(f__rp)++; } while(--ll >= 0) *lp++ = ' '; }
  200. #define s_cmp(a,b,c,d) ((integer)strncmp((a),(b),f2cmin((c),(d))))
  201. #define s_copy(A,B,C,D) { int __i,__m; for (__i=0, __m=f2cmin((C),(D)); __i<__m && (B)[__i] != 0; ++__i) (A)[__i] = (B)[__i]; }
  202. #define sig_die(s, kill) { exit(1); }
  203. #define s_stop(s, n) {exit(0);}
  204. static char junk[] = "\n@(#)LIBF77 VERSION 19990503\n";
  205. #define z_abs(z) (cabs(Cd(z)))
  206. #define z_exp(R, Z) {pCd(R) = cexp(Cd(Z));}
  207. #define z_sqrt(R, Z) {pCd(R) = csqrt(Cd(Z));}
  208. #define myexit_() break;
  209. #define mycycle() continue;
  210. #define myceiling(w) {ceil(w)}
  211. #define myhuge(w) {HUGE_VAL}
  212. //#define mymaxloc_(w,s,e,n) {if (sizeof(*(w)) == sizeof(double)) dmaxloc_((w),*(s),*(e),n); else dmaxloc_((w),*(s),*(e),n);}
  213. #define mymaxloc(w,s,e,n) {dmaxloc_(w,*(s),*(e),n)}
  214. /* procedure parameter types for -A and -C++ */
  215. #define F2C_proc_par_types 1
  216. #ifdef __cplusplus
  217. typedef logical (*L_fp)(...);
  218. #else
  219. typedef logical (*L_fp)();
  220. #endif
  221. static float spow_ui(float x, integer n) {
  222. float pow=1.0; unsigned long int u;
  223. if(n != 0) {
  224. if(n < 0) n = -n, x = 1/x;
  225. for(u = n; ; ) {
  226. if(u & 01) pow *= x;
  227. if(u >>= 1) x *= x;
  228. else break;
  229. }
  230. }
  231. return pow;
  232. }
  233. static double dpow_ui(double x, integer n) {
  234. double pow=1.0; unsigned long int u;
  235. if(n != 0) {
  236. if(n < 0) n = -n, x = 1/x;
  237. for(u = n; ; ) {
  238. if(u & 01) pow *= x;
  239. if(u >>= 1) x *= x;
  240. else break;
  241. }
  242. }
  243. return pow;
  244. }
  245. static _Complex float cpow_ui(_Complex float x, integer n) {
  246. _Complex float pow=1.0; unsigned long int u;
  247. if(n != 0) {
  248. if(n < 0) n = -n, x = 1/x;
  249. for(u = n; ; ) {
  250. if(u & 01) pow *= x;
  251. if(u >>= 1) x *= x;
  252. else break;
  253. }
  254. }
  255. return pow;
  256. }
  257. static _Complex double zpow_ui(_Complex double x, integer n) {
  258. _Complex double pow=1.0; unsigned long int u;
  259. if(n != 0) {
  260. if(n < 0) n = -n, x = 1/x;
  261. for(u = n; ; ) {
  262. if(u & 01) pow *= x;
  263. if(u >>= 1) x *= x;
  264. else break;
  265. }
  266. }
  267. return pow;
  268. }
  269. static integer pow_ii(integer x, integer n) {
  270. integer pow; unsigned long int u;
  271. if (n <= 0) {
  272. if (n == 0 || x == 1) pow = 1;
  273. else if (x != -1) pow = x == 0 ? 1/x : 0;
  274. else n = -n;
  275. }
  276. if ((n > 0) || !(n == 0 || x == 1 || x != -1)) {
  277. u = n;
  278. for(pow = 1; ; ) {
  279. if(u & 01) pow *= x;
  280. if(u >>= 1) x *= x;
  281. else break;
  282. }
  283. }
  284. return pow;
  285. }
  286. static integer dmaxloc_(double *w, integer s, integer e, integer *n)
  287. {
  288. double m; integer i, mi;
  289. for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
  290. if (w[i-1]>m) mi=i ,m=w[i-1];
  291. return mi-s+1;
  292. }
  293. static integer smaxloc_(float *w, integer s, integer e, integer *n)
  294. {
  295. float m; integer i, mi;
  296. for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
  297. if (w[i-1]>m) mi=i ,m=w[i-1];
  298. return mi-s+1;
  299. }
  300. static inline void cdotc_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
  301. integer n = *n_, incx = *incx_, incy = *incy_, i;
  302. _Complex float zdotc = 0.0;
  303. if (incx == 1 && incy == 1) {
  304. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  305. zdotc += conjf(Cf(&x[i])) * Cf(&y[i]);
  306. }
  307. } else {
  308. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  309. zdotc += conjf(Cf(&x[i*incx])) * Cf(&y[i*incy]);
  310. }
  311. }
  312. pCf(z) = zdotc;
  313. }
  314. static inline void zdotc_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
  315. integer n = *n_, incx = *incx_, incy = *incy_, i;
  316. _Complex double zdotc = 0.0;
  317. if (incx == 1 && incy == 1) {
  318. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  319. zdotc += conj(Cd(&x[i])) * Cd(&y[i]);
  320. }
  321. } else {
  322. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  323. zdotc += conj(Cd(&x[i*incx])) * Cd(&y[i*incy]);
  324. }
  325. }
  326. pCd(z) = zdotc;
  327. }
  328. static inline void cdotu_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
  329. integer n = *n_, incx = *incx_, incy = *incy_, i;
  330. _Complex float zdotc = 0.0;
  331. if (incx == 1 && incy == 1) {
  332. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  333. zdotc += Cf(&x[i]) * Cf(&y[i]);
  334. }
  335. } else {
  336. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  337. zdotc += Cf(&x[i*incx]) * Cf(&y[i*incy]);
  338. }
  339. }
  340. pCf(z) = zdotc;
  341. }
  342. static inline void zdotu_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
  343. integer n = *n_, incx = *incx_, incy = *incy_, i;
  344. _Complex double zdotc = 0.0;
  345. if (incx == 1 && incy == 1) {
  346. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  347. zdotc += Cd(&x[i]) * Cd(&y[i]);
  348. }
  349. } else {
  350. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  351. zdotc += Cd(&x[i*incx]) * Cd(&y[i*incy]);
  352. }
  353. }
  354. pCd(z) = zdotc;
  355. }
  356. #endif
  357. /* -- translated by f2c (version 20000121).
  358. You must link the resulting object file with the libraries:
  359. -lf2c -lm (in that order)
  360. */
  361. /* Table of constant values */
  362. static integer c__1 = 1;
  363. static integer c__2 = 2;
  364. /* > \brief \b STREXC */
  365. /* =========== DOCUMENTATION =========== */
  366. /* Online html documentation available at */
  367. /* http://www.netlib.org/lapack/explore-html/ */
  368. /* > \htmlonly */
  369. /* > Download STREXC + dependencies */
  370. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/strexc.
  371. f"> */
  372. /* > [TGZ]</a> */
  373. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/strexc.
  374. f"> */
  375. /* > [ZIP]</a> */
  376. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/strexc.
  377. f"> */
  378. /* > [TXT]</a> */
  379. /* > \endhtmlonly */
  380. /* Definition: */
  381. /* =========== */
  382. /* SUBROUTINE STREXC( COMPQ, N, T, LDT, Q, LDQ, IFST, ILST, WORK, */
  383. /* INFO ) */
  384. /* CHARACTER COMPQ */
  385. /* INTEGER IFST, ILST, INFO, LDQ, LDT, N */
  386. /* REAL Q( LDQ, * ), T( LDT, * ), WORK( * ) */
  387. /* > \par Purpose: */
  388. /* ============= */
  389. /* > */
  390. /* > \verbatim */
  391. /* > */
  392. /* > STREXC reorders the real Schur factorization of a real matrix */
  393. /* > A = Q*T*Q**T, so that the diagonal block of T with row index IFST is */
  394. /* > moved to row ILST. */
  395. /* > */
  396. /* > The real Schur form T is reordered by an orthogonal similarity */
  397. /* > transformation Z**T*T*Z, and optionally the matrix Q of Schur vectors */
  398. /* > is updated by postmultiplying it with Z. */
  399. /* > */
  400. /* > T must be in Schur canonical form (as returned by SHSEQR), that is, */
  401. /* > block upper triangular with 1-by-1 and 2-by-2 diagonal blocks; each */
  402. /* > 2-by-2 diagonal block has its diagonal elements equal and its */
  403. /* > off-diagonal elements of opposite sign. */
  404. /* > \endverbatim */
  405. /* Arguments: */
  406. /* ========== */
  407. /* > \param[in] COMPQ */
  408. /* > \verbatim */
  409. /* > COMPQ is CHARACTER*1 */
  410. /* > = 'V': update the matrix Q of Schur vectors; */
  411. /* > = 'N': do not update Q. */
  412. /* > \endverbatim */
  413. /* > */
  414. /* > \param[in] N */
  415. /* > \verbatim */
  416. /* > N is INTEGER */
  417. /* > The order of the matrix T. N >= 0. */
  418. /* > If N == 0 arguments ILST and IFST may be any value. */
  419. /* > \endverbatim */
  420. /* > */
  421. /* > \param[in,out] T */
  422. /* > \verbatim */
  423. /* > T is REAL array, dimension (LDT,N) */
  424. /* > On entry, the upper quasi-triangular matrix T, in Schur */
  425. /* > Schur canonical form. */
  426. /* > On exit, the reordered upper quasi-triangular matrix, again */
  427. /* > in Schur canonical form. */
  428. /* > \endverbatim */
  429. /* > */
  430. /* > \param[in] LDT */
  431. /* > \verbatim */
  432. /* > LDT is INTEGER */
  433. /* > The leading dimension of the array T. LDT >= f2cmax(1,N). */
  434. /* > \endverbatim */
  435. /* > */
  436. /* > \param[in,out] Q */
  437. /* > \verbatim */
  438. /* > Q is REAL array, dimension (LDQ,N) */
  439. /* > On entry, if COMPQ = 'V', the matrix Q of Schur vectors. */
  440. /* > On exit, if COMPQ = 'V', Q has been postmultiplied by the */
  441. /* > orthogonal transformation matrix Z which reorders T. */
  442. /* > If COMPQ = 'N', Q is not referenced. */
  443. /* > \endverbatim */
  444. /* > */
  445. /* > \param[in] LDQ */
  446. /* > \verbatim */
  447. /* > LDQ is INTEGER */
  448. /* > The leading dimension of the array Q. LDQ >= 1, and if */
  449. /* > COMPQ = 'V', LDQ >= f2cmax(1,N). */
  450. /* > \endverbatim */
  451. /* > */
  452. /* > \param[in,out] IFST */
  453. /* > \verbatim */
  454. /* > IFST is INTEGER */
  455. /* > \endverbatim */
  456. /* > */
  457. /* > \param[in,out] ILST */
  458. /* > \verbatim */
  459. /* > ILST is INTEGER */
  460. /* > */
  461. /* > Specify the reordering of the diagonal blocks of T. */
  462. /* > The block with row index IFST is moved to row ILST, by a */
  463. /* > sequence of transpositions between adjacent blocks. */
  464. /* > On exit, if IFST pointed on entry to the second row of a */
  465. /* > 2-by-2 block, it is changed to point to the first row; ILST */
  466. /* > always points to the first row of the block in its final */
  467. /* > position (which may differ from its input value by +1 or -1). */
  468. /* > 1 <= IFST <= N; 1 <= ILST <= N. */
  469. /* > \endverbatim */
  470. /* > */
  471. /* > \param[out] WORK */
  472. /* > \verbatim */
  473. /* > WORK is REAL array, dimension (N) */
  474. /* > \endverbatim */
  475. /* > */
  476. /* > \param[out] INFO */
  477. /* > \verbatim */
  478. /* > INFO is INTEGER */
  479. /* > = 0: successful exit */
  480. /* > < 0: if INFO = -i, the i-th argument had an illegal value */
  481. /* > = 1: two adjacent blocks were too close to swap (the problem */
  482. /* > is very ill-conditioned); T may have been partially */
  483. /* > reordered, and ILST points to the first row of the */
  484. /* > current position of the block being moved. */
  485. /* > \endverbatim */
  486. /* Authors: */
  487. /* ======== */
  488. /* > \author Univ. of Tennessee */
  489. /* > \author Univ. of California Berkeley */
  490. /* > \author Univ. of Colorado Denver */
  491. /* > \author NAG Ltd. */
  492. /* > \date December 2016 */
  493. /* > \ingroup realOTHERcomputational */
  494. /* ===================================================================== */
  495. /* Subroutine */ int strexc_(char *compq, integer *n, real *t, integer *ldt,
  496. real *q, integer *ldq, integer *ifst, integer *ilst, real *work,
  497. integer *info)
  498. {
  499. /* System generated locals */
  500. integer q_dim1, q_offset, t_dim1, t_offset, i__1;
  501. /* Local variables */
  502. integer here;
  503. extern logical lsame_(char *, char *);
  504. logical wantq;
  505. extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen), slaexc_(
  506. logical *, integer *, real *, integer *, real *, integer *,
  507. integer *, integer *, integer *, real *, integer *);
  508. integer nbnext, nbf, nbl;
  509. /* -- LAPACK computational routine (version 3.7.0) -- */
  510. /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
  511. /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  512. /* December 2016 */
  513. /* ===================================================================== */
  514. /* Decode and test the input arguments. */
  515. /* Parameter adjustments */
  516. t_dim1 = *ldt;
  517. t_offset = 1 + t_dim1 * 1;
  518. t -= t_offset;
  519. q_dim1 = *ldq;
  520. q_offset = 1 + q_dim1 * 1;
  521. q -= q_offset;
  522. --work;
  523. /* Function Body */
  524. *info = 0;
  525. wantq = lsame_(compq, "V");
  526. if (! wantq && ! lsame_(compq, "N")) {
  527. *info = -1;
  528. } else if (*n < 0) {
  529. *info = -2;
  530. } else if (*ldt < f2cmax(1,*n)) {
  531. *info = -4;
  532. } else if (*ldq < 1 || wantq && *ldq < f2cmax(1,*n)) {
  533. *info = -6;
  534. } else if ((*ifst < 1 || *ifst > *n) && *n > 0) {
  535. *info = -7;
  536. } else if ((*ilst < 1 || *ilst > *n) && *n > 0) {
  537. *info = -8;
  538. }
  539. if (*info != 0) {
  540. i__1 = -(*info);
  541. xerbla_("STREXC", &i__1, (ftnlen)6);
  542. return 0;
  543. }
  544. /* Quick return if possible */
  545. if (*n <= 1) {
  546. return 0;
  547. }
  548. /* Determine the first row of specified block */
  549. /* and find out it is 1 by 1 or 2 by 2. */
  550. if (*ifst > 1) {
  551. if (t[*ifst + (*ifst - 1) * t_dim1] != 0.f) {
  552. --(*ifst);
  553. }
  554. }
  555. nbf = 1;
  556. if (*ifst < *n) {
  557. if (t[*ifst + 1 + *ifst * t_dim1] != 0.f) {
  558. nbf = 2;
  559. }
  560. }
  561. /* Determine the first row of the final block */
  562. /* and find out it is 1 by 1 or 2 by 2. */
  563. if (*ilst > 1) {
  564. if (t[*ilst + (*ilst - 1) * t_dim1] != 0.f) {
  565. --(*ilst);
  566. }
  567. }
  568. nbl = 1;
  569. if (*ilst < *n) {
  570. if (t[*ilst + 1 + *ilst * t_dim1] != 0.f) {
  571. nbl = 2;
  572. }
  573. }
  574. if (*ifst == *ilst) {
  575. return 0;
  576. }
  577. if (*ifst < *ilst) {
  578. /* Update ILST */
  579. if (nbf == 2 && nbl == 1) {
  580. --(*ilst);
  581. }
  582. if (nbf == 1 && nbl == 2) {
  583. ++(*ilst);
  584. }
  585. here = *ifst;
  586. L10:
  587. /* Swap block with next one below */
  588. if (nbf == 1 || nbf == 2) {
  589. /* Current block either 1 by 1 or 2 by 2 */
  590. nbnext = 1;
  591. if (here + nbf + 1 <= *n) {
  592. if (t[here + nbf + 1 + (here + nbf) * t_dim1] != 0.f) {
  593. nbnext = 2;
  594. }
  595. }
  596. slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, &here, &
  597. nbf, &nbnext, &work[1], info);
  598. if (*info != 0) {
  599. *ilst = here;
  600. return 0;
  601. }
  602. here += nbnext;
  603. /* Test if 2 by 2 block breaks into two 1 by 1 blocks */
  604. if (nbf == 2) {
  605. if (t[here + 1 + here * t_dim1] == 0.f) {
  606. nbf = 3;
  607. }
  608. }
  609. } else {
  610. /* Current block consists of two 1 by 1 blocks each of which */
  611. /* must be swapped individually */
  612. nbnext = 1;
  613. if (here + 3 <= *n) {
  614. if (t[here + 3 + (here + 2) * t_dim1] != 0.f) {
  615. nbnext = 2;
  616. }
  617. }
  618. i__1 = here + 1;
  619. slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, &i__1, &
  620. c__1, &nbnext, &work[1], info);
  621. if (*info != 0) {
  622. *ilst = here;
  623. return 0;
  624. }
  625. if (nbnext == 1) {
  626. /* Swap two 1 by 1 blocks, no problems possible */
  627. slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, &
  628. here, &c__1, &nbnext, &work[1], info);
  629. ++here;
  630. } else {
  631. /* Recompute NBNEXT in case 2 by 2 split */
  632. if (t[here + 2 + (here + 1) * t_dim1] == 0.f) {
  633. nbnext = 1;
  634. }
  635. if (nbnext == 2) {
  636. /* 2 by 2 Block did not split */
  637. slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, &
  638. here, &c__1, &nbnext, &work[1], info);
  639. if (*info != 0) {
  640. *ilst = here;
  641. return 0;
  642. }
  643. here += 2;
  644. } else {
  645. /* 2 by 2 Block did split */
  646. slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, &
  647. here, &c__1, &c__1, &work[1], info);
  648. i__1 = here + 1;
  649. slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, &
  650. i__1, &c__1, &c__1, &work[1], info);
  651. here += 2;
  652. }
  653. }
  654. }
  655. if (here < *ilst) {
  656. goto L10;
  657. }
  658. } else {
  659. here = *ifst;
  660. L20:
  661. /* Swap block with next one above */
  662. if (nbf == 1 || nbf == 2) {
  663. /* Current block either 1 by 1 or 2 by 2 */
  664. nbnext = 1;
  665. if (here >= 3) {
  666. if (t[here - 1 + (here - 2) * t_dim1] != 0.f) {
  667. nbnext = 2;
  668. }
  669. }
  670. i__1 = here - nbnext;
  671. slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, &i__1, &
  672. nbnext, &nbf, &work[1], info);
  673. if (*info != 0) {
  674. *ilst = here;
  675. return 0;
  676. }
  677. here -= nbnext;
  678. /* Test if 2 by 2 block breaks into two 1 by 1 blocks */
  679. if (nbf == 2) {
  680. if (t[here + 1 + here * t_dim1] == 0.f) {
  681. nbf = 3;
  682. }
  683. }
  684. } else {
  685. /* Current block consists of two 1 by 1 blocks each of which */
  686. /* must be swapped individually */
  687. nbnext = 1;
  688. if (here >= 3) {
  689. if (t[here - 1 + (here - 2) * t_dim1] != 0.f) {
  690. nbnext = 2;
  691. }
  692. }
  693. i__1 = here - nbnext;
  694. slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, &i__1, &
  695. nbnext, &c__1, &work[1], info);
  696. if (*info != 0) {
  697. *ilst = here;
  698. return 0;
  699. }
  700. if (nbnext == 1) {
  701. /* Swap two 1 by 1 blocks, no problems possible */
  702. slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, &
  703. here, &nbnext, &c__1, &work[1], info);
  704. --here;
  705. } else {
  706. /* Recompute NBNEXT in case 2 by 2 split */
  707. if (t[here + (here - 1) * t_dim1] == 0.f) {
  708. nbnext = 1;
  709. }
  710. if (nbnext == 2) {
  711. /* 2 by 2 Block did not split */
  712. i__1 = here - 1;
  713. slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, &
  714. i__1, &c__2, &c__1, &work[1], info);
  715. if (*info != 0) {
  716. *ilst = here;
  717. return 0;
  718. }
  719. here += -2;
  720. } else {
  721. /* 2 by 2 Block did split */
  722. slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, &
  723. here, &c__1, &c__1, &work[1], info);
  724. i__1 = here - 1;
  725. slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, &
  726. i__1, &c__1, &c__1, &work[1], info);
  727. here += -2;
  728. }
  729. }
  730. }
  731. if (here > *ilst) {
  732. goto L20;
  733. }
  734. }
  735. *ilst = here;
  736. return 0;
  737. /* End of STREXC */
  738. } /* strexc_ */