You can not select more than 25 topics Topics must start with a chinese character,a letter or number, can include dashes ('-') and can be up to 35 characters long.

dorm22.c 24 kB

123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383384385386387388389390391392393394395396397398399400401402403404405406407408409410411412413414415416417418419420421422423424425426427428429430431432433434435436437438439440441442443444445446447448449450451452453454455456457458459460461462463464465466467468469470471472473474475476477478479480481482483484485486487488489490491492493494495496497498499500501502503504505506507508509510511512513514515516517518519520521522523524525526527528529530531532533534535536537538539540541542543544545546547548549550551552553554555556557558559560561562563564565566567568569570571572573574575576577578579580581582583584585586587588589590591592593594595596597598599600601602603604605606607608609610611612613614615616617618619620621622623624625626627628629630631632633634635636637638639640641642643644645646647648649650651652653654655656657658659660661662663664665666667668669670671672673674675676677678679680681682683684685686687688689690691692693694695696697698699700701702703704705706707708709710711712713714715716717718719720721722723724725726727728729730731732733734735736737738739740741742743744745746747748749750751752753754755756757758759760761762763764765766767768769770771772773774775776777778779780781782783784785786787788789790791792793794795796797798799800801802803804805806807808809810811812813814815816817818819820821822823824825826827828829830831832833834835836837838839840841842843844845846847848849850851852853854855856857858859860861862863
  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 doublereal c_b10 = 1.;
  363. /* > \brief \b DORM22 multiplies a general matrix by a banded orthogonal matrix. */
  364. /* =========== DOCUMENTATION =========== */
  365. /* Online html documentation available at */
  366. /* http://www.netlib.org/lapack/explore-html/ */
  367. /* > \htmlonly */
  368. /* > Download DORM22 + dependencies */
  369. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dorm22.
  370. f"> */
  371. /* > [TGZ]</a> */
  372. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dorm22.
  373. f"> */
  374. /* > [ZIP]</a> */
  375. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dorm22.
  376. f"> */
  377. /* > [TXT]</a> */
  378. /* > \endhtmlonly */
  379. /* Definition: */
  380. /* =========== */
  381. /* SUBROUTINE DORM22( SIDE, TRANS, M, N, N1, N2, Q, LDQ, C, LDC, */
  382. /* $ WORK, LWORK, INFO ) */
  383. /* CHARACTER SIDE, TRANS */
  384. /* INTEGER M, N, N1, N2, LDQ, LDC, LWORK, INFO */
  385. /* DOUBLE PRECISION Q( LDQ, * ), C( LDC, * ), WORK( * ) */
  386. /* > \par Purpose */
  387. /* ============ */
  388. /* > */
  389. /* > \verbatim */
  390. /* > */
  391. /* > */
  392. /* > DORM22 overwrites the general real M-by-N matrix C with */
  393. /* > */
  394. /* > SIDE = 'L' SIDE = 'R' */
  395. /* > TRANS = 'N': Q * C C * Q */
  396. /* > TRANS = 'T': Q**T * C C * Q**T */
  397. /* > */
  398. /* > where Q is a real orthogonal matrix of order NQ, with NQ = M if */
  399. /* > SIDE = 'L' and NQ = N if SIDE = 'R'. */
  400. /* > The orthogonal matrix Q processes a 2-by-2 block structure */
  401. /* > */
  402. /* > [ Q11 Q12 ] */
  403. /* > Q = [ ] */
  404. /* > [ Q21 Q22 ], */
  405. /* > */
  406. /* > where Q12 is an N1-by-N1 lower triangular matrix and Q21 is an */
  407. /* > N2-by-N2 upper triangular matrix. */
  408. /* > \endverbatim */
  409. /* Arguments: */
  410. /* ========== */
  411. /* > \param[in] SIDE */
  412. /* > \verbatim */
  413. /* > SIDE is CHARACTER*1 */
  414. /* > = 'L': apply Q or Q**T from the Left; */
  415. /* > = 'R': apply Q or Q**T from the Right. */
  416. /* > \endverbatim */
  417. /* > */
  418. /* > \param[in] TRANS */
  419. /* > \verbatim */
  420. /* > TRANS is CHARACTER*1 */
  421. /* > = 'N': apply Q (No transpose); */
  422. /* > = 'C': apply Q**T (Conjugate transpose). */
  423. /* > \endverbatim */
  424. /* > */
  425. /* > \param[in] M */
  426. /* > \verbatim */
  427. /* > M is INTEGER */
  428. /* > The number of rows of the matrix C. M >= 0. */
  429. /* > \endverbatim */
  430. /* > */
  431. /* > \param[in] N */
  432. /* > \verbatim */
  433. /* > N is INTEGER */
  434. /* > The number of columns of the matrix C. N >= 0. */
  435. /* > \endverbatim */
  436. /* > */
  437. /* > \param[in] N1 */
  438. /* > \param[in] N2 */
  439. /* > \verbatim */
  440. /* > N1 is INTEGER */
  441. /* > N2 is INTEGER */
  442. /* > The dimension of Q12 and Q21, respectively. N1, N2 >= 0. */
  443. /* > The following requirement must be satisfied: */
  444. /* > N1 + N2 = M if SIDE = 'L' and N1 + N2 = N if SIDE = 'R'. */
  445. /* > \endverbatim */
  446. /* > */
  447. /* > \param[in] Q */
  448. /* > \verbatim */
  449. /* > Q is DOUBLE PRECISION array, dimension */
  450. /* > (LDQ,M) if SIDE = 'L' */
  451. /* > (LDQ,N) if SIDE = 'R' */
  452. /* > \endverbatim */
  453. /* > */
  454. /* > \param[in] LDQ */
  455. /* > \verbatim */
  456. /* > LDQ is INTEGER */
  457. /* > The leading dimension of the array Q. */
  458. /* > LDQ >= f2cmax(1,M) if SIDE = 'L'; LDQ >= f2cmax(1,N) if SIDE = 'R'. */
  459. /* > \endverbatim */
  460. /* > */
  461. /* > \param[in,out] C */
  462. /* > \verbatim */
  463. /* > C is DOUBLE PRECISION array, dimension (LDC,N) */
  464. /* > On entry, the M-by-N matrix C. */
  465. /* > On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q. */
  466. /* > \endverbatim */
  467. /* > */
  468. /* > \param[in] LDC */
  469. /* > \verbatim */
  470. /* > LDC is INTEGER */
  471. /* > The leading dimension of the array C. LDC >= f2cmax(1,M). */
  472. /* > \endverbatim */
  473. /* > */
  474. /* > \param[out] WORK */
  475. /* > \verbatim */
  476. /* > WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)) */
  477. /* > On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */
  478. /* > \endverbatim */
  479. /* > */
  480. /* > \param[in] LWORK */
  481. /* > \verbatim */
  482. /* > LWORK is INTEGER */
  483. /* > The dimension of the array WORK. */
  484. /* > If SIDE = 'L', LWORK >= f2cmax(1,N); */
  485. /* > if SIDE = 'R', LWORK >= f2cmax(1,M). */
  486. /* > For optimum performance LWORK >= M*N. */
  487. /* > */
  488. /* > If LWORK = -1, then a workspace query is assumed; the routine */
  489. /* > only calculates the optimal size of the WORK array, returns */
  490. /* > this value as the first entry of the WORK array, and no error */
  491. /* > message related to LWORK is issued by XERBLA. */
  492. /* > \endverbatim */
  493. /* > */
  494. /* > \param[out] INFO */
  495. /* > \verbatim */
  496. /* > INFO is INTEGER */
  497. /* > = 0: successful exit */
  498. /* > < 0: if INFO = -i, the i-th argument had an illegal value */
  499. /* > \endverbatim */
  500. /* Authors: */
  501. /* ======== */
  502. /* > \author Univ. of Tennessee */
  503. /* > \author Univ. of California Berkeley */
  504. /* > \author Univ. of Colorado Denver */
  505. /* > \author NAG Ltd. */
  506. /* > \date January 2015 */
  507. /* > \ingroup complexOTHERcomputational */
  508. /* ===================================================================== */
  509. /* Subroutine */ int dorm22_(char *side, char *trans, integer *m, integer *n,
  510. integer *n1, integer *n2, doublereal *q, integer *ldq, doublereal *
  511. c__, integer *ldc, doublereal *work, integer *lwork, integer *info)
  512. {
  513. /* System generated locals */
  514. integer q_dim1, q_offset, c_dim1, c_offset, i__1, i__2, i__3, i__4;
  515. /* Local variables */
  516. logical left;
  517. integer i__;
  518. extern /* Subroutine */ int dgemm_(char *, char *, integer *, integer *,
  519. integer *, doublereal *, doublereal *, integer *, doublereal *,
  520. integer *, doublereal *, doublereal *, integer *);
  521. extern logical lsame_(char *, char *);
  522. extern /* Subroutine */ int dtrmm_(char *, char *, char *, char *,
  523. integer *, integer *, doublereal *, doublereal *, integer *,
  524. doublereal *, integer *);
  525. integer nb, nq, nw;
  526. extern /* Subroutine */ int dlacpy_(char *, integer *, integer *,
  527. doublereal *, integer *, doublereal *, integer *),
  528. xerbla_(char *, integer *, ftnlen);
  529. logical notran;
  530. integer ldwork, lwkopt;
  531. logical lquery;
  532. integer len;
  533. /* -- LAPACK computational routine (version 3.7.1) -- */
  534. /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
  535. /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  536. /* January 2015 */
  537. /* ===================================================================== */
  538. /* Test the input arguments */
  539. /* Parameter adjustments */
  540. q_dim1 = *ldq;
  541. q_offset = 1 + q_dim1 * 1;
  542. q -= q_offset;
  543. c_dim1 = *ldc;
  544. c_offset = 1 + c_dim1 * 1;
  545. c__ -= c_offset;
  546. --work;
  547. /* Function Body */
  548. *info = 0;
  549. left = lsame_(side, "L");
  550. notran = lsame_(trans, "N");
  551. lquery = *lwork == -1;
  552. /* NQ is the order of Q; */
  553. /* NW is the minimum dimension of WORK. */
  554. if (left) {
  555. nq = *m;
  556. } else {
  557. nq = *n;
  558. }
  559. nw = nq;
  560. if (*n1 == 0 || *n2 == 0) {
  561. nw = 1;
  562. }
  563. if (! left && ! lsame_(side, "R")) {
  564. *info = -1;
  565. } else if (! lsame_(trans, "N") && ! lsame_(trans,
  566. "T")) {
  567. *info = -2;
  568. } else if (*m < 0) {
  569. *info = -3;
  570. } else if (*n < 0) {
  571. *info = -4;
  572. } else if (*n1 < 0 || *n1 + *n2 != nq) {
  573. *info = -5;
  574. } else if (*n2 < 0) {
  575. *info = -6;
  576. } else if (*ldq < f2cmax(1,nq)) {
  577. *info = -8;
  578. } else if (*ldc < f2cmax(1,*m)) {
  579. *info = -10;
  580. } else if (*lwork < nw && ! lquery) {
  581. *info = -12;
  582. }
  583. if (*info == 0) {
  584. lwkopt = *m * *n;
  585. work[1] = (doublereal) lwkopt;
  586. }
  587. if (*info != 0) {
  588. i__1 = -(*info);
  589. xerbla_("DORM22", &i__1, (ftnlen)6);
  590. return 0;
  591. } else if (lquery) {
  592. return 0;
  593. }
  594. /* Quick return if possible */
  595. if (*m == 0 || *n == 0) {
  596. work[1] = 1.;
  597. return 0;
  598. }
  599. /* Degenerate cases (N1 = 0 or N2 = 0) are handled using DTRMM. */
  600. if (*n1 == 0) {
  601. dtrmm_(side, "Upper", trans, "Non-Unit", m, n, &c_b10, &q[q_offset],
  602. ldq, &c__[c_offset], ldc);
  603. work[1] = 1.;
  604. return 0;
  605. } else if (*n2 == 0) {
  606. dtrmm_(side, "Lower", trans, "Non-Unit", m, n, &c_b10, &q[q_offset],
  607. ldq, &c__[c_offset], ldc);
  608. work[1] = 1.;
  609. return 0;
  610. }
  611. /* Compute the largest chunk size available from the workspace. */
  612. /* Computing MAX */
  613. i__1 = 1, i__2 = f2cmin(*lwork,lwkopt) / nq;
  614. nb = f2cmax(i__1,i__2);
  615. if (left) {
  616. if (notran) {
  617. i__1 = *n;
  618. i__2 = nb;
  619. for (i__ = 1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += i__2) {
  620. /* Computing MIN */
  621. i__3 = nb, i__4 = *n - i__ + 1;
  622. len = f2cmin(i__3,i__4);
  623. ldwork = *m;
  624. /* Multiply bottom part of C by Q12. */
  625. dlacpy_("All", n1, &len, &c__[*n2 + 1 + i__ * c_dim1], ldc, &
  626. work[1], &ldwork);
  627. dtrmm_("Left", "Lower", "No Transpose", "Non-Unit", n1, &len,
  628. &c_b10, &q[(*n2 + 1) * q_dim1 + 1], ldq, &work[1], &
  629. ldwork);
  630. /* Multiply top part of C by Q11. */
  631. dgemm_("No Transpose", "No Transpose", n1, &len, n2, &c_b10, &
  632. q[q_offset], ldq, &c__[i__ * c_dim1 + 1], ldc, &c_b10,
  633. &work[1], &ldwork);
  634. /* Multiply top part of C by Q21. */
  635. dlacpy_("All", n2, &len, &c__[i__ * c_dim1 + 1], ldc, &work[*
  636. n1 + 1], &ldwork);
  637. dtrmm_("Left", "Upper", "No Transpose", "Non-Unit", n2, &len,
  638. &c_b10, &q[*n1 + 1 + q_dim1], ldq, &work[*n1 + 1], &
  639. ldwork);
  640. /* Multiply bottom part of C by Q22. */
  641. dgemm_("No Transpose", "No Transpose", n2, &len, n1, &c_b10, &
  642. q[*n1 + 1 + (*n2 + 1) * q_dim1], ldq, &c__[*n2 + 1 +
  643. i__ * c_dim1], ldc, &c_b10, &work[*n1 + 1], &ldwork);
  644. /* Copy everything back. */
  645. dlacpy_("All", m, &len, &work[1], &ldwork, &c__[i__ * c_dim1
  646. + 1], ldc);
  647. }
  648. } else {
  649. i__2 = *n;
  650. i__1 = nb;
  651. for (i__ = 1; i__1 < 0 ? i__ >= i__2 : i__ <= i__2; i__ += i__1) {
  652. /* Computing MIN */
  653. i__3 = nb, i__4 = *n - i__ + 1;
  654. len = f2cmin(i__3,i__4);
  655. ldwork = *m;
  656. /* Multiply bottom part of C by Q21**T. */
  657. dlacpy_("All", n2, &len, &c__[*n1 + 1 + i__ * c_dim1], ldc, &
  658. work[1], &ldwork);
  659. dtrmm_("Left", "Upper", "Transpose", "Non-Unit", n2, &len, &
  660. c_b10, &q[*n1 + 1 + q_dim1], ldq, &work[1], &ldwork);
  661. /* Multiply top part of C by Q11**T. */
  662. dgemm_("Transpose", "No Transpose", n2, &len, n1, &c_b10, &q[
  663. q_offset], ldq, &c__[i__ * c_dim1 + 1], ldc, &c_b10, &
  664. work[1], &ldwork);
  665. /* Multiply top part of C by Q12**T. */
  666. dlacpy_("All", n1, &len, &c__[i__ * c_dim1 + 1], ldc, &work[*
  667. n2 + 1], &ldwork);
  668. dtrmm_("Left", "Lower", "Transpose", "Non-Unit", n1, &len, &
  669. c_b10, &q[(*n2 + 1) * q_dim1 + 1], ldq, &work[*n2 + 1]
  670. , &ldwork)
  671. ;
  672. /* Multiply bottom part of C by Q22**T. */
  673. dgemm_("Transpose", "No Transpose", n1, &len, n2, &c_b10, &q[*
  674. n1 + 1 + (*n2 + 1) * q_dim1], ldq, &c__[*n1 + 1 + i__
  675. * c_dim1], ldc, &c_b10, &work[*n2 + 1], &ldwork);
  676. /* Copy everything back. */
  677. dlacpy_("All", m, &len, &work[1], &ldwork, &c__[i__ * c_dim1
  678. + 1], ldc);
  679. }
  680. }
  681. } else {
  682. if (notran) {
  683. i__1 = *m;
  684. i__2 = nb;
  685. for (i__ = 1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += i__2) {
  686. /* Computing MIN */
  687. i__3 = nb, i__4 = *m - i__ + 1;
  688. len = f2cmin(i__3,i__4);
  689. ldwork = len;
  690. /* Multiply right part of C by Q21. */
  691. dlacpy_("All", &len, n2, &c__[i__ + (*n1 + 1) * c_dim1], ldc,
  692. &work[1], &ldwork);
  693. dtrmm_("Right", "Upper", "No Transpose", "Non-Unit", &len, n2,
  694. &c_b10, &q[*n1 + 1 + q_dim1], ldq, &work[1], &ldwork);
  695. /* Multiply left part of C by Q11. */
  696. dgemm_("No Transpose", "No Transpose", &len, n2, n1, &c_b10, &
  697. c__[i__ + c_dim1], ldc, &q[q_offset], ldq, &c_b10, &
  698. work[1], &ldwork);
  699. /* Multiply left part of C by Q12. */
  700. dlacpy_("All", &len, n1, &c__[i__ + c_dim1], ldc, &work[*n2 *
  701. ldwork + 1], &ldwork);
  702. dtrmm_("Right", "Lower", "No Transpose", "Non-Unit", &len, n1,
  703. &c_b10, &q[(*n2 + 1) * q_dim1 + 1], ldq, &work[*n2 *
  704. ldwork + 1], &ldwork);
  705. /* Multiply right part of C by Q22. */
  706. dgemm_("No Transpose", "No Transpose", &len, n1, n2, &c_b10, &
  707. c__[i__ + (*n1 + 1) * c_dim1], ldc, &q[*n1 + 1 + (*n2
  708. + 1) * q_dim1], ldq, &c_b10, &work[*n2 * ldwork + 1],
  709. &ldwork);
  710. /* Copy everything back. */
  711. dlacpy_("All", &len, n, &work[1], &ldwork, &c__[i__ + c_dim1],
  712. ldc);
  713. }
  714. } else {
  715. i__2 = *m;
  716. i__1 = nb;
  717. for (i__ = 1; i__1 < 0 ? i__ >= i__2 : i__ <= i__2; i__ += i__1) {
  718. /* Computing MIN */
  719. i__3 = nb, i__4 = *m - i__ + 1;
  720. len = f2cmin(i__3,i__4);
  721. ldwork = len;
  722. /* Multiply right part of C by Q12**T. */
  723. dlacpy_("All", &len, n1, &c__[i__ + (*n2 + 1) * c_dim1], ldc,
  724. &work[1], &ldwork);
  725. dtrmm_("Right", "Lower", "Transpose", "Non-Unit", &len, n1, &
  726. c_b10, &q[(*n2 + 1) * q_dim1 + 1], ldq, &work[1], &
  727. ldwork);
  728. /* Multiply left part of C by Q11**T. */
  729. dgemm_("No Transpose", "Transpose", &len, n1, n2, &c_b10, &
  730. c__[i__ + c_dim1], ldc, &q[q_offset], ldq, &c_b10, &
  731. work[1], &ldwork);
  732. /* Multiply left part of C by Q21**T. */
  733. dlacpy_("All", &len, n2, &c__[i__ + c_dim1], ldc, &work[*n1 *
  734. ldwork + 1], &ldwork);
  735. dtrmm_("Right", "Upper", "Transpose", "Non-Unit", &len, n2, &
  736. c_b10, &q[*n1 + 1 + q_dim1], ldq, &work[*n1 * ldwork
  737. + 1], &ldwork);
  738. /* Multiply right part of C by Q22**T. */
  739. dgemm_("No Transpose", "Transpose", &len, n2, n1, &c_b10, &
  740. c__[i__ + (*n2 + 1) * c_dim1], ldc, &q[*n1 + 1 + (*n2
  741. + 1) * q_dim1], ldq, &c_b10, &work[*n1 * ldwork + 1],
  742. &ldwork);
  743. /* Copy everything back. */
  744. dlacpy_("All", &len, n, &work[1], &ldwork, &c__[i__ + c_dim1],
  745. ldc);
  746. }
  747. }
  748. }
  749. work[1] = (doublereal) lwkopt;
  750. return 0;
  751. /* End of DORM22 */
  752. } /* dorm22_ */