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clarzb.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. #if defined(_WIN64)
  18. typedef long long BLASLONG;
  19. typedef unsigned long long BLASULONG;
  20. #else
  21. typedef long BLASLONG;
  22. typedef unsigned long BLASULONG;
  23. #endif
  24. #ifdef LAPACK_ILP64
  25. typedef BLASLONG blasint;
  26. #if defined(_WIN64)
  27. #define blasabs(x) llabs(x)
  28. #else
  29. #define blasabs(x) labs(x)
  30. #endif
  31. #else
  32. typedef int blasint;
  33. #define blasabs(x) abs(x)
  34. #endif
  35. typedef blasint integer;
  36. typedef unsigned int uinteger;
  37. typedef char *address;
  38. typedef short int shortint;
  39. typedef float real;
  40. typedef double doublereal;
  41. typedef struct { real r, i; } complex;
  42. typedef struct { doublereal r, i; } doublecomplex;
  43. static inline _Complex float Cf(complex *z) {return z->r + z->i*_Complex_I;}
  44. static inline _Complex double Cd(doublecomplex *z) {return z->r + z->i*_Complex_I;}
  45. static inline _Complex float * _pCf(complex *z) {return (_Complex float*)z;}
  46. static inline _Complex double * _pCd(doublecomplex *z) {return (_Complex double*)z;}
  47. #define pCf(z) (*_pCf(z))
  48. #define pCd(z) (*_pCd(z))
  49. typedef int logical;
  50. typedef short int shortlogical;
  51. typedef char logical1;
  52. typedef char integer1;
  53. #define TRUE_ (1)
  54. #define FALSE_ (0)
  55. /* Extern is for use with -E */
  56. #ifndef Extern
  57. #define Extern extern
  58. #endif
  59. /* I/O stuff */
  60. typedef int flag;
  61. typedef int ftnlen;
  62. typedef int ftnint;
  63. /*external read, write*/
  64. typedef struct
  65. { flag cierr;
  66. ftnint ciunit;
  67. flag ciend;
  68. char *cifmt;
  69. ftnint cirec;
  70. } cilist;
  71. /*internal read, write*/
  72. typedef struct
  73. { flag icierr;
  74. char *iciunit;
  75. flag iciend;
  76. char *icifmt;
  77. ftnint icirlen;
  78. ftnint icirnum;
  79. } icilist;
  80. /*open*/
  81. typedef struct
  82. { flag oerr;
  83. ftnint ounit;
  84. char *ofnm;
  85. ftnlen ofnmlen;
  86. char *osta;
  87. char *oacc;
  88. char *ofm;
  89. ftnint orl;
  90. char *oblnk;
  91. } olist;
  92. /*close*/
  93. typedef struct
  94. { flag cerr;
  95. ftnint cunit;
  96. char *csta;
  97. } cllist;
  98. /*rewind, backspace, endfile*/
  99. typedef struct
  100. { flag aerr;
  101. ftnint aunit;
  102. } alist;
  103. /* inquire */
  104. typedef struct
  105. { flag inerr;
  106. ftnint inunit;
  107. char *infile;
  108. ftnlen infilen;
  109. ftnint *inex; /*parameters in standard's order*/
  110. ftnint *inopen;
  111. ftnint *innum;
  112. ftnint *innamed;
  113. char *inname;
  114. ftnlen innamlen;
  115. char *inacc;
  116. ftnlen inacclen;
  117. char *inseq;
  118. ftnlen inseqlen;
  119. char *indir;
  120. ftnlen indirlen;
  121. char *infmt;
  122. ftnlen infmtlen;
  123. char *inform;
  124. ftnint informlen;
  125. char *inunf;
  126. ftnlen inunflen;
  127. ftnint *inrecl;
  128. ftnint *innrec;
  129. char *inblank;
  130. ftnlen inblanklen;
  131. } inlist;
  132. #define VOID void
  133. union Multitype { /* for multiple entry points */
  134. integer1 g;
  135. shortint h;
  136. integer i;
  137. /* longint j; */
  138. real r;
  139. doublereal d;
  140. complex c;
  141. doublecomplex z;
  142. };
  143. typedef union Multitype Multitype;
  144. struct Vardesc { /* for Namelist */
  145. char *name;
  146. char *addr;
  147. ftnlen *dims;
  148. int type;
  149. };
  150. typedef struct Vardesc Vardesc;
  151. struct Namelist {
  152. char *name;
  153. Vardesc **vars;
  154. int nvars;
  155. };
  156. typedef struct Namelist Namelist;
  157. #define abs(x) ((x) >= 0 ? (x) : -(x))
  158. #define dabs(x) (fabs(x))
  159. #define f2cmin(a,b) ((a) <= (b) ? (a) : (b))
  160. #define f2cmax(a,b) ((a) >= (b) ? (a) : (b))
  161. #define dmin(a,b) (f2cmin(a,b))
  162. #define dmax(a,b) (f2cmax(a,b))
  163. #define bit_test(a,b) ((a) >> (b) & 1)
  164. #define bit_clear(a,b) ((a) & ~((uinteger)1 << (b)))
  165. #define bit_set(a,b) ((a) | ((uinteger)1 << (b)))
  166. #define abort_() { sig_die("Fortran abort routine called", 1); }
  167. #define c_abs(z) (cabsf(Cf(z)))
  168. #define c_cos(R,Z) { pCf(R)=ccos(Cf(Z)); }
  169. #define c_div(c, a, b) {pCf(c) = Cf(a)/Cf(b);}
  170. #define z_div(c, a, b) {pCd(c) = Cd(a)/Cd(b);}
  171. #define c_exp(R, Z) {pCf(R) = cexpf(Cf(Z));}
  172. #define c_log(R, Z) {pCf(R) = clogf(Cf(Z));}
  173. #define c_sin(R, Z) {pCf(R) = csinf(Cf(Z));}
  174. //#define c_sqrt(R, Z) {*(R) = csqrtf(Cf(Z));}
  175. #define c_sqrt(R, Z) {pCf(R) = csqrtf(Cf(Z));}
  176. #define d_abs(x) (fabs(*(x)))
  177. #define d_acos(x) (acos(*(x)))
  178. #define d_asin(x) (asin(*(x)))
  179. #define d_atan(x) (atan(*(x)))
  180. #define d_atn2(x, y) (atan2(*(x),*(y)))
  181. #define d_cnjg(R, Z) { pCd(R) = conj(Cd(Z)); }
  182. #define r_cnjg(R, Z) { pCf(R) = conj(Cf(Z)); }
  183. #define d_cos(x) (cos(*(x)))
  184. #define d_cosh(x) (cosh(*(x)))
  185. #define d_dim(__a, __b) ( *(__a) > *(__b) ? *(__a) - *(__b) : 0.0 )
  186. #define d_exp(x) (exp(*(x)))
  187. #define d_imag(z) (cimag(Cd(z)))
  188. #define r_imag(z) (cimag(Cf(z)))
  189. #define d_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  190. #define r_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  191. #define d_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  192. #define r_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  193. #define d_log(x) (log(*(x)))
  194. #define d_mod(x, y) (fmod(*(x), *(y)))
  195. #define u_nint(__x) ((__x)>=0 ? floor((__x) + .5) : -floor(.5 - (__x)))
  196. #define d_nint(x) u_nint(*(x))
  197. #define u_sign(__a,__b) ((__b) >= 0 ? ((__a) >= 0 ? (__a) : -(__a)) : -((__a) >= 0 ? (__a) : -(__a)))
  198. #define d_sign(a,b) u_sign(*(a),*(b))
  199. #define r_sign(a,b) u_sign(*(a),*(b))
  200. #define d_sin(x) (sin(*(x)))
  201. #define d_sinh(x) (sinh(*(x)))
  202. #define d_sqrt(x) (sqrt(*(x)))
  203. #define d_tan(x) (tan(*(x)))
  204. #define d_tanh(x) (tanh(*(x)))
  205. #define i_abs(x) abs(*(x))
  206. #define i_dnnt(x) ((integer)u_nint(*(x)))
  207. #define i_len(s, n) (n)
  208. #define i_nint(x) ((integer)u_nint(*(x)))
  209. #define i_sign(a,b) ((integer)u_sign((integer)*(a),(integer)*(b)))
  210. #define pow_dd(ap, bp) ( pow(*(ap), *(bp)))
  211. #define pow_si(B,E) spow_ui(*(B),*(E))
  212. #define pow_ri(B,E) spow_ui(*(B),*(E))
  213. #define pow_di(B,E) dpow_ui(*(B),*(E))
  214. #define pow_zi(p, a, b) {pCd(p) = zpow_ui(Cd(a), *(b));}
  215. #define pow_ci(p, a, b) {pCf(p) = cpow_ui(Cf(a), *(b));}
  216. #define pow_zz(R,A,B) {pCd(R) = cpow(Cd(A),*(B));}
  217. #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++ = ' '; }
  218. #define s_cmp(a,b,c,d) ((integer)strncmp((a),(b),f2cmin((c),(d))))
  219. #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]; }
  220. #define sig_die(s, kill) { exit(1); }
  221. #define s_stop(s, n) {exit(0);}
  222. static char junk[] = "\n@(#)LIBF77 VERSION 19990503\n";
  223. #define z_abs(z) (cabs(Cd(z)))
  224. #define z_exp(R, Z) {pCd(R) = cexp(Cd(Z));}
  225. #define z_sqrt(R, Z) {pCd(R) = csqrt(Cd(Z));}
  226. #define myexit_() break;
  227. #define mycycle() continue;
  228. #define myceiling(w) {ceil(w)}
  229. #define myhuge(w) {HUGE_VAL}
  230. //#define mymaxloc_(w,s,e,n) {if (sizeof(*(w)) == sizeof(double)) dmaxloc_((w),*(s),*(e),n); else dmaxloc_((w),*(s),*(e),n);}
  231. #define mymaxloc(w,s,e,n) {dmaxloc_(w,*(s),*(e),n)}
  232. /* procedure parameter types for -A and -C++ */
  233. #define F2C_proc_par_types 1
  234. #ifdef __cplusplus
  235. typedef logical (*L_fp)(...);
  236. #else
  237. typedef logical (*L_fp)();
  238. #endif
  239. static float spow_ui(float x, integer n) {
  240. float pow=1.0; unsigned long int u;
  241. if(n != 0) {
  242. if(n < 0) n = -n, x = 1/x;
  243. for(u = n; ; ) {
  244. if(u & 01) pow *= x;
  245. if(u >>= 1) x *= x;
  246. else break;
  247. }
  248. }
  249. return pow;
  250. }
  251. static double dpow_ui(double x, integer n) {
  252. double pow=1.0; unsigned long int u;
  253. if(n != 0) {
  254. if(n < 0) n = -n, x = 1/x;
  255. for(u = n; ; ) {
  256. if(u & 01) pow *= x;
  257. if(u >>= 1) x *= x;
  258. else break;
  259. }
  260. }
  261. return pow;
  262. }
  263. static _Complex float cpow_ui(_Complex float x, integer n) {
  264. _Complex float pow=1.0; unsigned long int u;
  265. if(n != 0) {
  266. if(n < 0) n = -n, x = 1/x;
  267. for(u = n; ; ) {
  268. if(u & 01) pow *= x;
  269. if(u >>= 1) x *= x;
  270. else break;
  271. }
  272. }
  273. return pow;
  274. }
  275. static _Complex double zpow_ui(_Complex double x, integer n) {
  276. _Complex double pow=1.0; unsigned long int u;
  277. if(n != 0) {
  278. if(n < 0) n = -n, x = 1/x;
  279. for(u = n; ; ) {
  280. if(u & 01) pow *= x;
  281. if(u >>= 1) x *= x;
  282. else break;
  283. }
  284. }
  285. return pow;
  286. }
  287. static integer pow_ii(integer x, integer n) {
  288. integer pow; unsigned long int u;
  289. if (n <= 0) {
  290. if (n == 0 || x == 1) pow = 1;
  291. else if (x != -1) pow = x == 0 ? 1/x : 0;
  292. else n = -n;
  293. }
  294. if ((n > 0) || !(n == 0 || x == 1 || x != -1)) {
  295. u = n;
  296. for(pow = 1; ; ) {
  297. if(u & 01) pow *= x;
  298. if(u >>= 1) x *= x;
  299. else break;
  300. }
  301. }
  302. return pow;
  303. }
  304. static integer dmaxloc_(double *w, integer s, integer e, integer *n)
  305. {
  306. double m; integer i, mi;
  307. for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
  308. if (w[i-1]>m) mi=i ,m=w[i-1];
  309. return mi-s+1;
  310. }
  311. static integer smaxloc_(float *w, integer s, integer e, integer *n)
  312. {
  313. float m; integer i, mi;
  314. for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
  315. if (w[i-1]>m) mi=i ,m=w[i-1];
  316. return mi-s+1;
  317. }
  318. static inline void cdotc_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
  319. integer n = *n_, incx = *incx_, incy = *incy_, i;
  320. _Complex float zdotc = 0.0;
  321. if (incx == 1 && incy == 1) {
  322. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  323. zdotc += conjf(Cf(&x[i])) * Cf(&y[i]);
  324. }
  325. } else {
  326. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  327. zdotc += conjf(Cf(&x[i*incx])) * Cf(&y[i*incy]);
  328. }
  329. }
  330. pCf(z) = zdotc;
  331. }
  332. static inline void zdotc_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
  333. integer n = *n_, incx = *incx_, incy = *incy_, i;
  334. _Complex double zdotc = 0.0;
  335. if (incx == 1 && incy == 1) {
  336. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  337. zdotc += conj(Cd(&x[i])) * Cd(&y[i]);
  338. }
  339. } else {
  340. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  341. zdotc += conj(Cd(&x[i*incx])) * Cd(&y[i*incy]);
  342. }
  343. }
  344. pCd(z) = zdotc;
  345. }
  346. static inline void cdotu_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
  347. integer n = *n_, incx = *incx_, incy = *incy_, i;
  348. _Complex float zdotc = 0.0;
  349. if (incx == 1 && incy == 1) {
  350. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  351. zdotc += Cf(&x[i]) * Cf(&y[i]);
  352. }
  353. } else {
  354. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  355. zdotc += Cf(&x[i*incx]) * Cf(&y[i*incy]);
  356. }
  357. }
  358. pCf(z) = zdotc;
  359. }
  360. static inline void zdotu_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
  361. integer n = *n_, incx = *incx_, incy = *incy_, i;
  362. _Complex double zdotc = 0.0;
  363. if (incx == 1 && incy == 1) {
  364. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  365. zdotc += Cd(&x[i]) * Cd(&y[i]);
  366. }
  367. } else {
  368. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  369. zdotc += Cd(&x[i*incx]) * Cd(&y[i*incy]);
  370. }
  371. }
  372. pCd(z) = zdotc;
  373. }
  374. #endif
  375. /* -- translated by f2c (version 20000121).
  376. You must link the resulting object file with the libraries:
  377. -lf2c -lm (in that order)
  378. */
  379. /* Table of constant values */
  380. static complex c_b1 = {1.f,0.f};
  381. static integer c__1 = 1;
  382. /* > \brief \b CLARZB applies a block reflector or its conjugate-transpose to a general matrix. */
  383. /* =========== DOCUMENTATION =========== */
  384. /* Online html documentation available at */
  385. /* http://www.netlib.org/lapack/explore-html/ */
  386. /* > \htmlonly */
  387. /* > Download CLARZB + dependencies */
  388. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/clarzb.
  389. f"> */
  390. /* > [TGZ]</a> */
  391. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/clarzb.
  392. f"> */
  393. /* > [ZIP]</a> */
  394. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/clarzb.
  395. f"> */
  396. /* > [TXT]</a> */
  397. /* > \endhtmlonly */
  398. /* Definition: */
  399. /* =========== */
  400. /* SUBROUTINE CLARZB( SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, */
  401. /* LDV, T, LDT, C, LDC, WORK, LDWORK ) */
  402. /* CHARACTER DIRECT, SIDE, STOREV, TRANS */
  403. /* INTEGER K, L, LDC, LDT, LDV, LDWORK, M, N */
  404. /* COMPLEX C( LDC, * ), T( LDT, * ), V( LDV, * ), */
  405. /* $ WORK( LDWORK, * ) */
  406. /* > \par Purpose: */
  407. /* ============= */
  408. /* > */
  409. /* > \verbatim */
  410. /* > */
  411. /* > CLARZB applies a complex block reflector H or its transpose H**H */
  412. /* > to a complex distributed M-by-N C from the left or the right. */
  413. /* > */
  414. /* > Currently, only STOREV = 'R' and DIRECT = 'B' are supported. */
  415. /* > \endverbatim */
  416. /* Arguments: */
  417. /* ========== */
  418. /* > \param[in] SIDE */
  419. /* > \verbatim */
  420. /* > SIDE is CHARACTER*1 */
  421. /* > = 'L': apply H or H**H from the Left */
  422. /* > = 'R': apply H or H**H from the Right */
  423. /* > \endverbatim */
  424. /* > */
  425. /* > \param[in] TRANS */
  426. /* > \verbatim */
  427. /* > TRANS is CHARACTER*1 */
  428. /* > = 'N': apply H (No transpose) */
  429. /* > = 'C': apply H**H (Conjugate transpose) */
  430. /* > \endverbatim */
  431. /* > */
  432. /* > \param[in] DIRECT */
  433. /* > \verbatim */
  434. /* > DIRECT is CHARACTER*1 */
  435. /* > Indicates how H is formed from a product of elementary */
  436. /* > reflectors */
  437. /* > = 'F': H = H(1) H(2) . . . H(k) (Forward, not supported yet) */
  438. /* > = 'B': H = H(k) . . . H(2) H(1) (Backward) */
  439. /* > \endverbatim */
  440. /* > */
  441. /* > \param[in] STOREV */
  442. /* > \verbatim */
  443. /* > STOREV is CHARACTER*1 */
  444. /* > Indicates how the vectors which define the elementary */
  445. /* > reflectors are stored: */
  446. /* > = 'C': Columnwise (not supported yet) */
  447. /* > = 'R': Rowwise */
  448. /* > \endverbatim */
  449. /* > */
  450. /* > \param[in] M */
  451. /* > \verbatim */
  452. /* > M is INTEGER */
  453. /* > The number of rows of the matrix C. */
  454. /* > \endverbatim */
  455. /* > */
  456. /* > \param[in] N */
  457. /* > \verbatim */
  458. /* > N is INTEGER */
  459. /* > The number of columns of the matrix C. */
  460. /* > \endverbatim */
  461. /* > */
  462. /* > \param[in] K */
  463. /* > \verbatim */
  464. /* > K is INTEGER */
  465. /* > The order of the matrix T (= the number of elementary */
  466. /* > reflectors whose product defines the block reflector). */
  467. /* > \endverbatim */
  468. /* > */
  469. /* > \param[in] L */
  470. /* > \verbatim */
  471. /* > L is INTEGER */
  472. /* > The number of columns of the matrix V containing the */
  473. /* > meaningful part of the Householder reflectors. */
  474. /* > If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0. */
  475. /* > \endverbatim */
  476. /* > */
  477. /* > \param[in] V */
  478. /* > \verbatim */
  479. /* > V is COMPLEX array, dimension (LDV,NV). */
  480. /* > If STOREV = 'C', NV = K; if STOREV = 'R', NV = L. */
  481. /* > \endverbatim */
  482. /* > */
  483. /* > \param[in] LDV */
  484. /* > \verbatim */
  485. /* > LDV is INTEGER */
  486. /* > The leading dimension of the array V. */
  487. /* > If STOREV = 'C', LDV >= L; if STOREV = 'R', LDV >= K. */
  488. /* > \endverbatim */
  489. /* > */
  490. /* > \param[in] T */
  491. /* > \verbatim */
  492. /* > T is COMPLEX array, dimension (LDT,K) */
  493. /* > The triangular K-by-K matrix T in the representation of the */
  494. /* > block reflector. */
  495. /* > \endverbatim */
  496. /* > */
  497. /* > \param[in] LDT */
  498. /* > \verbatim */
  499. /* > LDT is INTEGER */
  500. /* > The leading dimension of the array T. LDT >= K. */
  501. /* > \endverbatim */
  502. /* > */
  503. /* > \param[in,out] C */
  504. /* > \verbatim */
  505. /* > C is COMPLEX array, dimension (LDC,N) */
  506. /* > On entry, the M-by-N matrix C. */
  507. /* > On exit, C is overwritten by H*C or H**H*C or C*H or C*H**H. */
  508. /* > \endverbatim */
  509. /* > */
  510. /* > \param[in] LDC */
  511. /* > \verbatim */
  512. /* > LDC is INTEGER */
  513. /* > The leading dimension of the array C. LDC >= f2cmax(1,M). */
  514. /* > \endverbatim */
  515. /* > */
  516. /* > \param[out] WORK */
  517. /* > \verbatim */
  518. /* > WORK is COMPLEX array, dimension (LDWORK,K) */
  519. /* > \endverbatim */
  520. /* > */
  521. /* > \param[in] LDWORK */
  522. /* > \verbatim */
  523. /* > LDWORK is INTEGER */
  524. /* > The leading dimension of the array WORK. */
  525. /* > If SIDE = 'L', LDWORK >= f2cmax(1,N); */
  526. /* > if SIDE = 'R', LDWORK >= f2cmax(1,M). */
  527. /* > \endverbatim */
  528. /* Authors: */
  529. /* ======== */
  530. /* > \author Univ. of Tennessee */
  531. /* > \author Univ. of California Berkeley */
  532. /* > \author Univ. of Colorado Denver */
  533. /* > \author NAG Ltd. */
  534. /* > \date December 2016 */
  535. /* > \ingroup complexOTHERcomputational */
  536. /* > \par Contributors: */
  537. /* ================== */
  538. /* > */
  539. /* > A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA */
  540. /* > \par Further Details: */
  541. /* ===================== */
  542. /* > */
  543. /* > \verbatim */
  544. /* > \endverbatim */
  545. /* > */
  546. /* ===================================================================== */
  547. /* Subroutine */ int clarzb_(char *side, char *trans, char *direct, char *
  548. storev, integer *m, integer *n, integer *k, integer *l, complex *v,
  549. integer *ldv, complex *t, integer *ldt, complex *c__, integer *ldc,
  550. complex *work, integer *ldwork)
  551. {
  552. /* System generated locals */
  553. integer c_dim1, c_offset, t_dim1, t_offset, v_dim1, v_offset, work_dim1,
  554. work_offset, i__1, i__2, i__3, i__4, i__5;
  555. complex q__1;
  556. /* Local variables */
  557. integer info, i__, j;
  558. extern /* Subroutine */ int cgemm_(char *, char *, integer *, integer *,
  559. integer *, complex *, complex *, integer *, complex *, integer *,
  560. complex *, complex *, integer *);
  561. extern logical lsame_(char *, char *);
  562. extern /* Subroutine */ int ccopy_(integer *, complex *, integer *,
  563. complex *, integer *), ctrmm_(char *, char *, char *, char *,
  564. integer *, integer *, complex *, complex *, integer *, complex *,
  565. integer *), clacgv_(integer *,
  566. complex *, integer *), xerbla_(char *, integer *, ftnlen);
  567. char transt[1];
  568. /* -- LAPACK computational routine (version 3.7.0) -- */
  569. /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
  570. /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  571. /* December 2016 */
  572. /* ===================================================================== */
  573. /* Quick return if possible */
  574. /* Parameter adjustments */
  575. v_dim1 = *ldv;
  576. v_offset = 1 + v_dim1 * 1;
  577. v -= v_offset;
  578. t_dim1 = *ldt;
  579. t_offset = 1 + t_dim1 * 1;
  580. t -= t_offset;
  581. c_dim1 = *ldc;
  582. c_offset = 1 + c_dim1 * 1;
  583. c__ -= c_offset;
  584. work_dim1 = *ldwork;
  585. work_offset = 1 + work_dim1 * 1;
  586. work -= work_offset;
  587. /* Function Body */
  588. if (*m <= 0 || *n <= 0) {
  589. return 0;
  590. }
  591. /* Check for currently supported options */
  592. info = 0;
  593. if (! lsame_(direct, "B")) {
  594. info = -3;
  595. } else if (! lsame_(storev, "R")) {
  596. info = -4;
  597. }
  598. if (info != 0) {
  599. i__1 = -info;
  600. xerbla_("CLARZB", &i__1, (ftnlen)6);
  601. return 0;
  602. }
  603. if (lsame_(trans, "N")) {
  604. *(unsigned char *)transt = 'C';
  605. } else {
  606. *(unsigned char *)transt = 'N';
  607. }
  608. if (lsame_(side, "L")) {
  609. /* Form H * C or H**H * C */
  610. /* W( 1:n, 1:k ) = C( 1:k, 1:n )**H */
  611. i__1 = *k;
  612. for (j = 1; j <= i__1; ++j) {
  613. ccopy_(n, &c__[j + c_dim1], ldc, &work[j * work_dim1 + 1], &c__1);
  614. /* L10: */
  615. }
  616. /* W( 1:n, 1:k ) = W( 1:n, 1:k ) + ... */
  617. /* C( m-l+1:m, 1:n )**H * V( 1:k, 1:l )**T */
  618. if (*l > 0) {
  619. cgemm_("Transpose", "Conjugate transpose", n, k, l, &c_b1, &c__[*
  620. m - *l + 1 + c_dim1], ldc, &v[v_offset], ldv, &c_b1, &
  621. work[work_offset], ldwork);
  622. }
  623. /* W( 1:n, 1:k ) = W( 1:n, 1:k ) * T**T or W( 1:m, 1:k ) * T */
  624. ctrmm_("Right", "Lower", transt, "Non-unit", n, k, &c_b1, &t[t_offset]
  625. , ldt, &work[work_offset], ldwork);
  626. /* C( 1:k, 1:n ) = C( 1:k, 1:n ) - W( 1:n, 1:k )**H */
  627. i__1 = *n;
  628. for (j = 1; j <= i__1; ++j) {
  629. i__2 = *k;
  630. for (i__ = 1; i__ <= i__2; ++i__) {
  631. i__3 = i__ + j * c_dim1;
  632. i__4 = i__ + j * c_dim1;
  633. i__5 = j + i__ * work_dim1;
  634. q__1.r = c__[i__4].r - work[i__5].r, q__1.i = c__[i__4].i -
  635. work[i__5].i;
  636. c__[i__3].r = q__1.r, c__[i__3].i = q__1.i;
  637. /* L20: */
  638. }
  639. /* L30: */
  640. }
  641. /* C( m-l+1:m, 1:n ) = C( m-l+1:m, 1:n ) - ... */
  642. /* V( 1:k, 1:l )**H * W( 1:n, 1:k )**H */
  643. if (*l > 0) {
  644. q__1.r = -1.f, q__1.i = 0.f;
  645. cgemm_("Transpose", "Transpose", l, n, k, &q__1, &v[v_offset],
  646. ldv, &work[work_offset], ldwork, &c_b1, &c__[*m - *l + 1
  647. + c_dim1], ldc);
  648. }
  649. } else if (lsame_(side, "R")) {
  650. /* Form C * H or C * H**H */
  651. /* W( 1:m, 1:k ) = C( 1:m, 1:k ) */
  652. i__1 = *k;
  653. for (j = 1; j <= i__1; ++j) {
  654. ccopy_(m, &c__[j * c_dim1 + 1], &c__1, &work[j * work_dim1 + 1], &
  655. c__1);
  656. /* L40: */
  657. }
  658. /* W( 1:m, 1:k ) = W( 1:m, 1:k ) + ... */
  659. /* C( 1:m, n-l+1:n ) * V( 1:k, 1:l )**H */
  660. if (*l > 0) {
  661. cgemm_("No transpose", "Transpose", m, k, l, &c_b1, &c__[(*n - *l
  662. + 1) * c_dim1 + 1], ldc, &v[v_offset], ldv, &c_b1, &work[
  663. work_offset], ldwork);
  664. }
  665. /* W( 1:m, 1:k ) = W( 1:m, 1:k ) * conjg( T ) or */
  666. /* W( 1:m, 1:k ) * T**H */
  667. i__1 = *k;
  668. for (j = 1; j <= i__1; ++j) {
  669. i__2 = *k - j + 1;
  670. clacgv_(&i__2, &t[j + j * t_dim1], &c__1);
  671. /* L50: */
  672. }
  673. ctrmm_("Right", "Lower", trans, "Non-unit", m, k, &c_b1, &t[t_offset],
  674. ldt, &work[work_offset], ldwork);
  675. i__1 = *k;
  676. for (j = 1; j <= i__1; ++j) {
  677. i__2 = *k - j + 1;
  678. clacgv_(&i__2, &t[j + j * t_dim1], &c__1);
  679. /* L60: */
  680. }
  681. /* C( 1:m, 1:k ) = C( 1:m, 1:k ) - W( 1:m, 1:k ) */
  682. i__1 = *k;
  683. for (j = 1; j <= i__1; ++j) {
  684. i__2 = *m;
  685. for (i__ = 1; i__ <= i__2; ++i__) {
  686. i__3 = i__ + j * c_dim1;
  687. i__4 = i__ + j * c_dim1;
  688. i__5 = i__ + j * work_dim1;
  689. q__1.r = c__[i__4].r - work[i__5].r, q__1.i = c__[i__4].i -
  690. work[i__5].i;
  691. c__[i__3].r = q__1.r, c__[i__3].i = q__1.i;
  692. /* L70: */
  693. }
  694. /* L80: */
  695. }
  696. /* C( 1:m, n-l+1:n ) = C( 1:m, n-l+1:n ) - ... */
  697. /* W( 1:m, 1:k ) * conjg( V( 1:k, 1:l ) ) */
  698. i__1 = *l;
  699. for (j = 1; j <= i__1; ++j) {
  700. clacgv_(k, &v[j * v_dim1 + 1], &c__1);
  701. /* L90: */
  702. }
  703. if (*l > 0) {
  704. q__1.r = -1.f, q__1.i = 0.f;
  705. cgemm_("No transpose", "No transpose", m, l, k, &q__1, &work[
  706. work_offset], ldwork, &v[v_offset], ldv, &c_b1, &c__[(*n
  707. - *l + 1) * c_dim1 + 1], ldc);
  708. }
  709. i__1 = *l;
  710. for (j = 1; j <= i__1; ++j) {
  711. clacgv_(k, &v[j * v_dim1 + 1], &c__1);
  712. /* L100: */
  713. }
  714. }
  715. return 0;
  716. /* End of CLARZB */
  717. } /* clarzb_ */