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sormql.c 21 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_n1 = -1;
  364. static integer c__2 = 2;
  365. static integer c__65 = 65;
  366. /* > \brief \b SORMQL */
  367. /* =========== DOCUMENTATION =========== */
  368. /* Online html documentation available at */
  369. /* http://www.netlib.org/lapack/explore-html/ */
  370. /* > \htmlonly */
  371. /* > Download SORMQL + dependencies */
  372. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/sormql.
  373. f"> */
  374. /* > [TGZ]</a> */
  375. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/sormql.
  376. f"> */
  377. /* > [ZIP]</a> */
  378. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/sormql.
  379. f"> */
  380. /* > [TXT]</a> */
  381. /* > \endhtmlonly */
  382. /* Definition: */
  383. /* =========== */
  384. /* SUBROUTINE SORMQL( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, */
  385. /* WORK, LWORK, INFO ) */
  386. /* CHARACTER SIDE, TRANS */
  387. /* INTEGER INFO, K, LDA, LDC, LWORK, M, N */
  388. /* REAL A( LDA, * ), C( LDC, * ), TAU( * ), */
  389. /* $ WORK( * ) */
  390. /* > \par Purpose: */
  391. /* ============= */
  392. /* > */
  393. /* > \verbatim */
  394. /* > */
  395. /* > SORMQL overwrites the general real M-by-N matrix C with */
  396. /* > */
  397. /* > SIDE = 'L' SIDE = 'R' */
  398. /* > TRANS = 'N': Q * C C * Q */
  399. /* > TRANS = 'T': Q**T * C C * Q**T */
  400. /* > */
  401. /* > where Q is a real orthogonal matrix defined as the product of k */
  402. /* > elementary reflectors */
  403. /* > */
  404. /* > Q = H(k) . . . H(2) H(1) */
  405. /* > */
  406. /* > as returned by SGEQLF. Q is of order M if SIDE = 'L' and of order N */
  407. /* > if SIDE = 'R'. */
  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': No transpose, apply Q; */
  422. /* > = 'T': Transpose, apply Q**T. */
  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] K */
  438. /* > \verbatim */
  439. /* > K is INTEGER */
  440. /* > The number of elementary reflectors whose product defines */
  441. /* > the matrix Q. */
  442. /* > If SIDE = 'L', M >= K >= 0; */
  443. /* > if SIDE = 'R', N >= K >= 0. */
  444. /* > \endverbatim */
  445. /* > */
  446. /* > \param[in] A */
  447. /* > \verbatim */
  448. /* > A is REAL array, dimension (LDA,K) */
  449. /* > The i-th column must contain the vector which defines the */
  450. /* > elementary reflector H(i), for i = 1,2,...,k, as returned by */
  451. /* > SGEQLF in the last k columns of its array argument A. */
  452. /* > \endverbatim */
  453. /* > */
  454. /* > \param[in] LDA */
  455. /* > \verbatim */
  456. /* > LDA is INTEGER */
  457. /* > The leading dimension of the array A. */
  458. /* > If SIDE = 'L', LDA >= f2cmax(1,M); */
  459. /* > if SIDE = 'R', LDA >= f2cmax(1,N). */
  460. /* > \endverbatim */
  461. /* > */
  462. /* > \param[in] TAU */
  463. /* > \verbatim */
  464. /* > TAU is REAL array, dimension (K) */
  465. /* > TAU(i) must contain the scalar factor of the elementary */
  466. /* > reflector H(i), as returned by SGEQLF. */
  467. /* > \endverbatim */
  468. /* > */
  469. /* > \param[in,out] C */
  470. /* > \verbatim */
  471. /* > C is REAL array, dimension (LDC,N) */
  472. /* > On entry, the M-by-N matrix C. */
  473. /* > On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q. */
  474. /* > \endverbatim */
  475. /* > */
  476. /* > \param[in] LDC */
  477. /* > \verbatim */
  478. /* > LDC is INTEGER */
  479. /* > The leading dimension of the array C. LDC >= f2cmax(1,M). */
  480. /* > \endverbatim */
  481. /* > */
  482. /* > \param[out] WORK */
  483. /* > \verbatim */
  484. /* > WORK is REAL array, dimension (MAX(1,LWORK)) */
  485. /* > On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */
  486. /* > \endverbatim */
  487. /* > */
  488. /* > \param[in] LWORK */
  489. /* > \verbatim */
  490. /* > LWORK is INTEGER */
  491. /* > The dimension of the array WORK. */
  492. /* > If SIDE = 'L', LWORK >= f2cmax(1,N); */
  493. /* > if SIDE = 'R', LWORK >= f2cmax(1,M). */
  494. /* > For good performance, LWORK should generally be larger. */
  495. /* > */
  496. /* > If LWORK = -1, then a workspace query is assumed; the routine */
  497. /* > only calculates the optimal size of the WORK array, returns */
  498. /* > this value as the first entry of the WORK array, and no error */
  499. /* > message related to LWORK is issued by XERBLA. */
  500. /* > \endverbatim */
  501. /* > */
  502. /* > \param[out] INFO */
  503. /* > \verbatim */
  504. /* > INFO is INTEGER */
  505. /* > = 0: successful exit */
  506. /* > < 0: if INFO = -i, the i-th argument had an illegal value */
  507. /* > \endverbatim */
  508. /* Authors: */
  509. /* ======== */
  510. /* > \author Univ. of Tennessee */
  511. /* > \author Univ. of California Berkeley */
  512. /* > \author Univ. of Colorado Denver */
  513. /* > \author NAG Ltd. */
  514. /* > \date December 2016 */
  515. /* > \ingroup realOTHERcomputational */
  516. /* ===================================================================== */
  517. /* Subroutine */ int sormql_(char *side, char *trans, integer *m, integer *n,
  518. integer *k, real *a, integer *lda, real *tau, real *c__, integer *ldc,
  519. real *work, integer *lwork, integer *info)
  520. {
  521. /* System generated locals */
  522. address a__1[2];
  523. integer a_dim1, a_offset, c_dim1, c_offset, i__1, i__2, i__3[2], i__4,
  524. i__5;
  525. char ch__1[2];
  526. /* Local variables */
  527. logical left;
  528. integer i__;
  529. extern logical lsame_(char *, char *);
  530. integer nbmin, iinfo, i1, i2, i3, ib;
  531. extern /* Subroutine */ int sorm2l_(char *, char *, integer *, integer *,
  532. integer *, real *, integer *, real *, real *, integer *, real *,
  533. integer *);
  534. integer nb, mi, ni, nq, nw;
  535. extern /* Subroutine */ int slarfb_(char *, char *, char *, char *,
  536. integer *, integer *, integer *, real *, integer *, real *,
  537. integer *, real *, integer *, real *, integer *), xerbla_(char *, integer *, ftnlen);
  538. extern integer ilaenv_(integer *, char *, char *, integer *, integer *,
  539. integer *, integer *, ftnlen, ftnlen);
  540. extern /* Subroutine */ int slarft_(char *, char *, integer *, integer *,
  541. real *, integer *, real *, real *, integer *);
  542. logical notran;
  543. integer ldwork, lwkopt;
  544. logical lquery;
  545. integer iwt;
  546. /* -- LAPACK computational routine (version 3.7.0) -- */
  547. /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
  548. /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  549. /* December 2016 */
  550. /* ===================================================================== */
  551. /* Test the input arguments */
  552. /* Parameter adjustments */
  553. a_dim1 = *lda;
  554. a_offset = 1 + a_dim1 * 1;
  555. a -= a_offset;
  556. --tau;
  557. c_dim1 = *ldc;
  558. c_offset = 1 + c_dim1 * 1;
  559. c__ -= c_offset;
  560. --work;
  561. /* Function Body */
  562. *info = 0;
  563. left = lsame_(side, "L");
  564. notran = lsame_(trans, "N");
  565. lquery = *lwork == -1;
  566. /* NQ is the order of Q and NW is the minimum dimension of WORK */
  567. if (left) {
  568. nq = *m;
  569. nw = f2cmax(1,*n);
  570. } else {
  571. nq = *n;
  572. nw = f2cmax(1,*m);
  573. }
  574. if (! left && ! lsame_(side, "R")) {
  575. *info = -1;
  576. } else if (! notran && ! lsame_(trans, "T")) {
  577. *info = -2;
  578. } else if (*m < 0) {
  579. *info = -3;
  580. } else if (*n < 0) {
  581. *info = -4;
  582. } else if (*k < 0 || *k > nq) {
  583. *info = -5;
  584. } else if (*lda < f2cmax(1,nq)) {
  585. *info = -7;
  586. } else if (*ldc < f2cmax(1,*m)) {
  587. *info = -10;
  588. } else if (*lwork < nw && ! lquery) {
  589. *info = -12;
  590. }
  591. if (*info == 0) {
  592. /* Compute the workspace requirements */
  593. if (*m == 0 || *n == 0) {
  594. lwkopt = 1;
  595. } else {
  596. /* Computing MIN */
  597. /* Writing concatenation */
  598. i__3[0] = 1, a__1[0] = side;
  599. i__3[1] = 1, a__1[1] = trans;
  600. s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2);
  601. i__1 = 64, i__2 = ilaenv_(&c__1, "SORMQL", ch__1, m, n, k, &c_n1,
  602. (ftnlen)6, (ftnlen)2);
  603. nb = f2cmin(i__1,i__2);
  604. lwkopt = nw * nb + 4160;
  605. }
  606. work[1] = (real) lwkopt;
  607. }
  608. if (*info != 0) {
  609. i__1 = -(*info);
  610. xerbla_("SORMQL", &i__1, (ftnlen)6);
  611. return 0;
  612. } else if (lquery) {
  613. return 0;
  614. }
  615. /* Quick return if possible */
  616. if (*m == 0 || *n == 0) {
  617. return 0;
  618. }
  619. nbmin = 2;
  620. ldwork = nw;
  621. if (nb > 1 && nb < *k) {
  622. if (*lwork < nw * nb + 4160) {
  623. nb = (*lwork - 4160) / ldwork;
  624. /* Computing MAX */
  625. /* Writing concatenation */
  626. i__3[0] = 1, a__1[0] = side;
  627. i__3[1] = 1, a__1[1] = trans;
  628. s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2);
  629. i__1 = 2, i__2 = ilaenv_(&c__2, "SORMQL", ch__1, m, n, k, &c_n1, (
  630. ftnlen)6, (ftnlen)2);
  631. nbmin = f2cmax(i__1,i__2);
  632. }
  633. }
  634. if (nb < nbmin || nb >= *k) {
  635. /* Use unblocked code */
  636. sorm2l_(side, trans, m, n, k, &a[a_offset], lda, &tau[1], &c__[
  637. c_offset], ldc, &work[1], &iinfo);
  638. } else {
  639. /* Use blocked code */
  640. iwt = nw * nb + 1;
  641. if (left && notran || ! left && ! notran) {
  642. i1 = 1;
  643. i2 = *k;
  644. i3 = nb;
  645. } else {
  646. i1 = (*k - 1) / nb * nb + 1;
  647. i2 = 1;
  648. i3 = -nb;
  649. }
  650. if (left) {
  651. ni = *n;
  652. } else {
  653. mi = *m;
  654. }
  655. i__1 = i2;
  656. i__2 = i3;
  657. for (i__ = i1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += i__2) {
  658. /* Computing MIN */
  659. i__4 = nb, i__5 = *k - i__ + 1;
  660. ib = f2cmin(i__4,i__5);
  661. /* Form the triangular factor of the block reflector */
  662. /* H = H(i+ib-1) . . . H(i+1) H(i) */
  663. i__4 = nq - *k + i__ + ib - 1;
  664. slarft_("Backward", "Columnwise", &i__4, &ib, &a[i__ * a_dim1 + 1]
  665. , lda, &tau[i__], &work[iwt], &c__65);
  666. if (left) {
  667. /* H or H**T is applied to C(1:m-k+i+ib-1,1:n) */
  668. mi = *m - *k + i__ + ib - 1;
  669. } else {
  670. /* H or H**T is applied to C(1:m,1:n-k+i+ib-1) */
  671. ni = *n - *k + i__ + ib - 1;
  672. }
  673. /* Apply H or H**T */
  674. slarfb_(side, trans, "Backward", "Columnwise", &mi, &ni, &ib, &a[
  675. i__ * a_dim1 + 1], lda, &work[iwt], &c__65, &c__[c_offset]
  676. , ldc, &work[1], &ldwork);
  677. /* L10: */
  678. }
  679. }
  680. work[1] = (real) lwkopt;
  681. return 0;
  682. /* End of SORMQL */
  683. } /* sormql_ */