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.

dgemqrt.c 20 kB

123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383384385386387388389390391392393394395396397398399400401402403404405406407408409410411412413414415416417418419420421422423424425426427428429430431432433434435436437438439440441442443444445446447448449450451452453454455456457458459460461462463464465466467468469470471472473474475476477478479480481482483484485486487488489490491492493494495496497498499500501502503504505506507508509510511512513514515516517518519520521522523524525526527528529530531532533534535536537538539540541542543544545546547548549550551552553554555556557558559560561562563564565566567568569570571572573574575576577578579580581582583584585586587588589590591592593594595596597598599600601602603604605606607608609610611612613614615616617618619620621622623624625626627628629630631632633634635636637638639640641642643644645646647648649650651652653654655656657658659660661662663664665666667668669670671672673674675676677678679680681682683684685686687688689690691692693694695696697698699700701702703704705706707708
  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. /* > \brief \b DGEMQRT */
  362. /* =========== DOCUMENTATION =========== */
  363. /* Online html documentation available at */
  364. /* http://www.netlib.org/lapack/explore-html/ */
  365. /* > \htmlonly */
  366. /* > Download DGEMQRT + dependencies */
  367. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgemqrt
  368. .f"> */
  369. /* > [TGZ]</a> */
  370. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgemqrt
  371. .f"> */
  372. /* > [ZIP]</a> */
  373. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgemqrt
  374. .f"> */
  375. /* > [TXT]</a> */
  376. /* > \endhtmlonly */
  377. /* Definition: */
  378. /* =========== */
  379. /* SUBROUTINE DGEMQRT( SIDE, TRANS, M, N, K, NB, V, LDV, T, LDT, */
  380. /* C, LDC, WORK, INFO ) */
  381. /* CHARACTER SIDE, TRANS */
  382. /* INTEGER INFO, K, LDV, LDC, M, N, NB, LDT */
  383. /* DOUBLE PRECISION V( LDV, * ), C( LDC, * ), T( LDT, * ), WORK( * ) */
  384. /* > \par Purpose: */
  385. /* ============= */
  386. /* > */
  387. /* > \verbatim */
  388. /* > */
  389. /* > DGEMQRT overwrites the general real M-by-N matrix C with */
  390. /* > */
  391. /* > SIDE = 'L' SIDE = 'R' */
  392. /* > TRANS = 'N': Q C C Q */
  393. /* > TRANS = 'T': Q**T C C Q**T */
  394. /* > */
  395. /* > where Q is a real orthogonal matrix defined as the product of K */
  396. /* > elementary reflectors: */
  397. /* > */
  398. /* > Q = H(1) H(2) . . . H(K) = I - V T V**T */
  399. /* > */
  400. /* > generated using the compact WY representation as returned by DGEQRT. */
  401. /* > */
  402. /* > Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'. */
  403. /* > \endverbatim */
  404. /* Arguments: */
  405. /* ========== */
  406. /* > \param[in] SIDE */
  407. /* > \verbatim */
  408. /* > SIDE is CHARACTER*1 */
  409. /* > = 'L': apply Q or Q**T from the Left; */
  410. /* > = 'R': apply Q or Q**T from the Right. */
  411. /* > \endverbatim */
  412. /* > */
  413. /* > \param[in] TRANS */
  414. /* > \verbatim */
  415. /* > TRANS is CHARACTER*1 */
  416. /* > = 'N': No transpose, apply Q; */
  417. /* > = 'C': Transpose, apply Q**T. */
  418. /* > \endverbatim */
  419. /* > */
  420. /* > \param[in] M */
  421. /* > \verbatim */
  422. /* > M is INTEGER */
  423. /* > The number of rows of the matrix C. M >= 0. */
  424. /* > \endverbatim */
  425. /* > */
  426. /* > \param[in] N */
  427. /* > \verbatim */
  428. /* > N is INTEGER */
  429. /* > The number of columns of the matrix C. N >= 0. */
  430. /* > \endverbatim */
  431. /* > */
  432. /* > \param[in] K */
  433. /* > \verbatim */
  434. /* > K is INTEGER */
  435. /* > The number of elementary reflectors whose product defines */
  436. /* > the matrix Q. */
  437. /* > If SIDE = 'L', M >= K >= 0; */
  438. /* > if SIDE = 'R', N >= K >= 0. */
  439. /* > \endverbatim */
  440. /* > */
  441. /* > \param[in] NB */
  442. /* > \verbatim */
  443. /* > NB is INTEGER */
  444. /* > The block size used for the storage of T. K >= NB >= 1. */
  445. /* > This must be the same value of NB used to generate T */
  446. /* > in CGEQRT. */
  447. /* > \endverbatim */
  448. /* > */
  449. /* > \param[in] V */
  450. /* > \verbatim */
  451. /* > V is DOUBLE PRECISION array, dimension (LDV,K) */
  452. /* > The i-th column must contain the vector which defines the */
  453. /* > elementary reflector H(i), for i = 1,2,...,k, as returned by */
  454. /* > CGEQRT in the first K columns of its array argument A. */
  455. /* > \endverbatim */
  456. /* > */
  457. /* > \param[in] LDV */
  458. /* > \verbatim */
  459. /* > LDV is INTEGER */
  460. /* > The leading dimension of the array V. */
  461. /* > If SIDE = 'L', LDA >= f2cmax(1,M); */
  462. /* > if SIDE = 'R', LDA >= f2cmax(1,N). */
  463. /* > \endverbatim */
  464. /* > */
  465. /* > \param[in] T */
  466. /* > \verbatim */
  467. /* > T is DOUBLE PRECISION array, dimension (LDT,K) */
  468. /* > The upper triangular factors of the block reflectors */
  469. /* > as returned by CGEQRT, stored as a NB-by-N matrix. */
  470. /* > \endverbatim */
  471. /* > */
  472. /* > \param[in] LDT */
  473. /* > \verbatim */
  474. /* > LDT is INTEGER */
  475. /* > The leading dimension of the array T. LDT >= NB. */
  476. /* > \endverbatim */
  477. /* > */
  478. /* > \param[in,out] C */
  479. /* > \verbatim */
  480. /* > C is DOUBLE PRECISION array, dimension (LDC,N) */
  481. /* > On entry, the M-by-N matrix C. */
  482. /* > On exit, C is overwritten by Q C, Q**T C, C Q**T or C Q. */
  483. /* > \endverbatim */
  484. /* > */
  485. /* > \param[in] LDC */
  486. /* > \verbatim */
  487. /* > LDC is INTEGER */
  488. /* > The leading dimension of the array C. LDC >= f2cmax(1,M). */
  489. /* > \endverbatim */
  490. /* > */
  491. /* > \param[out] WORK */
  492. /* > \verbatim */
  493. /* > WORK is DOUBLE PRECISION array. The dimension of */
  494. /* > WORK is N*NB if SIDE = 'L', or M*NB if SIDE = 'R'. */
  495. /* > \endverbatim */
  496. /* > */
  497. /* > \param[out] INFO */
  498. /* > \verbatim */
  499. /* > INFO is INTEGER */
  500. /* > = 0: successful exit */
  501. /* > < 0: if INFO = -i, the i-th argument had an illegal value */
  502. /* > \endverbatim */
  503. /* Authors: */
  504. /* ======== */
  505. /* > \author Univ. of Tennessee */
  506. /* > \author Univ. of California Berkeley */
  507. /* > \author Univ. of Colorado Denver */
  508. /* > \author NAG Ltd. */
  509. /* > \date December 2016 */
  510. /* > \ingroup doubleGEcomputational */
  511. /* ===================================================================== */
  512. /* Subroutine */ int dgemqrt_(char *side, char *trans, integer *m, integer *n,
  513. integer *k, integer *nb, doublereal *v, integer *ldv, doublereal *t,
  514. integer *ldt, doublereal *c__, integer *ldc, doublereal *work,
  515. integer *info)
  516. {
  517. /* System generated locals */
  518. integer v_dim1, v_offset, c_dim1, c_offset, t_dim1, t_offset, i__1, i__2,
  519. i__3, i__4;
  520. /* Local variables */
  521. logical left, tran;
  522. integer i__, q;
  523. extern logical lsame_(char *, char *);
  524. logical right;
  525. integer ib, kf;
  526. extern /* Subroutine */ int dlarfb_(char *, char *, char *, char *,
  527. integer *, integer *, integer *, doublereal *, integer *,
  528. doublereal *, integer *, doublereal *, integer *, doublereal *,
  529. integer *), xerbla_(char *, integer *, ftnlen);
  530. logical notran;
  531. integer ldwork;
  532. /* -- LAPACK computational routine (version 3.7.0) -- */
  533. /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
  534. /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  535. /* December 2016 */
  536. /* ===================================================================== */
  537. /* Parameter adjustments */
  538. v_dim1 = *ldv;
  539. v_offset = 1 + v_dim1 * 1;
  540. v -= v_offset;
  541. t_dim1 = *ldt;
  542. t_offset = 1 + t_dim1 * 1;
  543. t -= t_offset;
  544. c_dim1 = *ldc;
  545. c_offset = 1 + c_dim1 * 1;
  546. c__ -= c_offset;
  547. --work;
  548. /* Function Body */
  549. *info = 0;
  550. left = lsame_(side, "L");
  551. right = lsame_(side, "R");
  552. tran = lsame_(trans, "T");
  553. notran = lsame_(trans, "N");
  554. if (left) {
  555. ldwork = f2cmax(1,*n);
  556. q = *m;
  557. } else if (right) {
  558. ldwork = f2cmax(1,*m);
  559. q = *n;
  560. }
  561. if (! left && ! right) {
  562. *info = -1;
  563. } else if (! tran && ! notran) {
  564. *info = -2;
  565. } else if (*m < 0) {
  566. *info = -3;
  567. } else if (*n < 0) {
  568. *info = -4;
  569. } else if (*k < 0 || *k > q) {
  570. *info = -5;
  571. } else if (*nb < 1 || *nb > *k && *k > 0) {
  572. *info = -6;
  573. } else if (*ldv < f2cmax(1,q)) {
  574. *info = -8;
  575. } else if (*ldt < *nb) {
  576. *info = -10;
  577. } else if (*ldc < f2cmax(1,*m)) {
  578. *info = -12;
  579. }
  580. if (*info != 0) {
  581. i__1 = -(*info);
  582. xerbla_("DGEMQRT", &i__1, (ftnlen)7);
  583. return 0;
  584. }
  585. if (*m == 0 || *n == 0 || *k == 0) {
  586. return 0;
  587. }
  588. if (left && tran) {
  589. i__1 = *k;
  590. i__2 = *nb;
  591. for (i__ = 1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += i__2) {
  592. /* Computing MIN */
  593. i__3 = *nb, i__4 = *k - i__ + 1;
  594. ib = f2cmin(i__3,i__4);
  595. i__3 = *m - i__ + 1;
  596. dlarfb_("L", "T", "F", "C", &i__3, n, &ib, &v[i__ + i__ * v_dim1],
  597. ldv, &t[i__ * t_dim1 + 1], ldt, &c__[i__ + c_dim1], ldc,
  598. &work[1], &ldwork);
  599. }
  600. } else if (right && notran) {
  601. i__2 = *k;
  602. i__1 = *nb;
  603. for (i__ = 1; i__1 < 0 ? i__ >= i__2 : i__ <= i__2; i__ += i__1) {
  604. /* Computing MIN */
  605. i__3 = *nb, i__4 = *k - i__ + 1;
  606. ib = f2cmin(i__3,i__4);
  607. i__3 = *n - i__ + 1;
  608. dlarfb_("R", "N", "F", "C", m, &i__3, &ib, &v[i__ + i__ * v_dim1],
  609. ldv, &t[i__ * t_dim1 + 1], ldt, &c__[i__ * c_dim1 + 1],
  610. ldc, &work[1], &ldwork);
  611. }
  612. } else if (left && notran) {
  613. kf = (*k - 1) / *nb * *nb + 1;
  614. i__1 = -(*nb);
  615. for (i__ = kf; i__1 < 0 ? i__ >= 1 : i__ <= 1; i__ += i__1) {
  616. /* Computing MIN */
  617. i__2 = *nb, i__3 = *k - i__ + 1;
  618. ib = f2cmin(i__2,i__3);
  619. i__2 = *m - i__ + 1;
  620. dlarfb_("L", "N", "F", "C", &i__2, n, &ib, &v[i__ + i__ * v_dim1],
  621. ldv, &t[i__ * t_dim1 + 1], ldt, &c__[i__ + c_dim1], ldc,
  622. &work[1], &ldwork);
  623. }
  624. } else if (right && tran) {
  625. kf = (*k - 1) / *nb * *nb + 1;
  626. i__1 = -(*nb);
  627. for (i__ = kf; i__1 < 0 ? i__ >= 1 : i__ <= 1; i__ += i__1) {
  628. /* Computing MIN */
  629. i__2 = *nb, i__3 = *k - i__ + 1;
  630. ib = f2cmin(i__2,i__3);
  631. i__2 = *n - i__ + 1;
  632. dlarfb_("R", "T", "F", "C", m, &i__2, &ib, &v[i__ + i__ * v_dim1],
  633. ldv, &t[i__ * t_dim1 + 1], ldt, &c__[i__ * c_dim1 + 1],
  634. ldc, &work[1], &ldwork);
  635. }
  636. }
  637. return 0;
  638. /* End of DGEMQRT */
  639. } /* dgemqrt_ */