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claror.c 22 kB

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  1. /* f2c.h -- Standard Fortran to C header file */
  2. /** barf [ba:rf] 2. "He suggested using FORTRAN, and everybody barfed."
  3. - From The Shogakukan DICTIONARY OF NEW ENGLISH (Second edition) */
  4. #ifndef F2C_INCLUDE
  5. #define F2C_INCLUDE
  6. #include <math.h>
  7. #include <stdlib.h>
  8. #include <string.h>
  9. #include <stdio.h>
  10. #include <complex.h>
  11. #ifdef complex
  12. #undef complex
  13. #endif
  14. #ifdef I
  15. #undef I
  16. #endif
  17. typedef int integer;
  18. typedef unsigned int uinteger;
  19. typedef char *address;
  20. typedef short int shortint;
  21. typedef float real;
  22. typedef double doublereal;
  23. typedef struct { real r, i; } complex;
  24. typedef struct { doublereal r, i; } doublecomplex;
  25. static inline _Complex float Cf(complex *z) {return z->r + z->i*_Complex_I;}
  26. static inline _Complex double Cd(doublecomplex *z) {return z->r + z->i*_Complex_I;}
  27. static inline _Complex float * _pCf(complex *z) {return (_Complex float*)z;}
  28. static inline _Complex double * _pCd(doublecomplex *z) {return (_Complex double*)z;}
  29. #define pCf(z) (*_pCf(z))
  30. #define pCd(z) (*_pCd(z))
  31. typedef int logical;
  32. typedef short int shortlogical;
  33. typedef char logical1;
  34. typedef char integer1;
  35. #define TRUE_ (1)
  36. #define FALSE_ (0)
  37. /* Extern is for use with -E */
  38. #ifndef Extern
  39. #define Extern extern
  40. #endif
  41. /* I/O stuff */
  42. typedef int flag;
  43. typedef int ftnlen;
  44. typedef int ftnint;
  45. /*external read, write*/
  46. typedef struct
  47. { flag cierr;
  48. ftnint ciunit;
  49. flag ciend;
  50. char *cifmt;
  51. ftnint cirec;
  52. } cilist;
  53. /*internal read, write*/
  54. typedef struct
  55. { flag icierr;
  56. char *iciunit;
  57. flag iciend;
  58. char *icifmt;
  59. ftnint icirlen;
  60. ftnint icirnum;
  61. } icilist;
  62. /*open*/
  63. typedef struct
  64. { flag oerr;
  65. ftnint ounit;
  66. char *ofnm;
  67. ftnlen ofnmlen;
  68. char *osta;
  69. char *oacc;
  70. char *ofm;
  71. ftnint orl;
  72. char *oblnk;
  73. } olist;
  74. /*close*/
  75. typedef struct
  76. { flag cerr;
  77. ftnint cunit;
  78. char *csta;
  79. } cllist;
  80. /*rewind, backspace, endfile*/
  81. typedef struct
  82. { flag aerr;
  83. ftnint aunit;
  84. } alist;
  85. /* inquire */
  86. typedef struct
  87. { flag inerr;
  88. ftnint inunit;
  89. char *infile;
  90. ftnlen infilen;
  91. ftnint *inex; /*parameters in standard's order*/
  92. ftnint *inopen;
  93. ftnint *innum;
  94. ftnint *innamed;
  95. char *inname;
  96. ftnlen innamlen;
  97. char *inacc;
  98. ftnlen inacclen;
  99. char *inseq;
  100. ftnlen inseqlen;
  101. char *indir;
  102. ftnlen indirlen;
  103. char *infmt;
  104. ftnlen infmtlen;
  105. char *inform;
  106. ftnint informlen;
  107. char *inunf;
  108. ftnlen inunflen;
  109. ftnint *inrecl;
  110. ftnint *innrec;
  111. char *inblank;
  112. ftnlen inblanklen;
  113. } inlist;
  114. #define VOID void
  115. union Multitype { /* for multiple entry points */
  116. integer1 g;
  117. shortint h;
  118. integer i;
  119. /* longint j; */
  120. real r;
  121. doublereal d;
  122. complex c;
  123. doublecomplex z;
  124. };
  125. typedef union Multitype Multitype;
  126. struct Vardesc { /* for Namelist */
  127. char *name;
  128. char *addr;
  129. ftnlen *dims;
  130. int type;
  131. };
  132. typedef struct Vardesc Vardesc;
  133. struct Namelist {
  134. char *name;
  135. Vardesc **vars;
  136. int nvars;
  137. };
  138. typedef struct Namelist Namelist;
  139. #define abs(x) ((x) >= 0 ? (x) : -(x))
  140. #define dabs(x) (fabs(x))
  141. #define f2cmin(a,b) ((a) <= (b) ? (a) : (b))
  142. #define f2cmax(a,b) ((a) >= (b) ? (a) : (b))
  143. #define dmin(a,b) (f2cmin(a,b))
  144. #define dmax(a,b) (f2cmax(a,b))
  145. #define bit_test(a,b) ((a) >> (b) & 1)
  146. #define bit_clear(a,b) ((a) & ~((uinteger)1 << (b)))
  147. #define bit_set(a,b) ((a) | ((uinteger)1 << (b)))
  148. #define abort_() { sig_die("Fortran abort routine called", 1); }
  149. #define c_abs(z) (cabsf(Cf(z)))
  150. #define c_cos(R,Z) { pCf(R)=ccos(Cf(Z)); }
  151. #define c_div(c, a, b) {pCf(c) = Cf(a)/Cf(b);}
  152. #define z_div(c, a, b) {pCd(c) = Cd(a)/Cd(b);}
  153. #define c_exp(R, Z) {pCf(R) = cexpf(Cf(Z));}
  154. #define c_log(R, Z) {pCf(R) = clogf(Cf(Z));}
  155. #define c_sin(R, Z) {pCf(R) = csinf(Cf(Z));}
  156. //#define c_sqrt(R, Z) {*(R) = csqrtf(Cf(Z));}
  157. #define c_sqrt(R, Z) {pCf(R) = csqrtf(Cf(Z));}
  158. #define d_abs(x) (fabs(*(x)))
  159. #define d_acos(x) (acos(*(x)))
  160. #define d_asin(x) (asin(*(x)))
  161. #define d_atan(x) (atan(*(x)))
  162. #define d_atn2(x, y) (atan2(*(x),*(y)))
  163. #define d_cnjg(R, Z) { pCd(R) = conj(Cd(Z)); }
  164. #define r_cnjg(R, Z) { pCf(R) = conj(Cf(Z)); }
  165. #define d_cos(x) (cos(*(x)))
  166. #define d_cosh(x) (cosh(*(x)))
  167. #define d_dim(__a, __b) ( *(__a) > *(__b) ? *(__a) - *(__b) : 0.0 )
  168. #define d_exp(x) (exp(*(x)))
  169. #define d_imag(z) (cimag(Cd(z)))
  170. #define r_imag(z) (cimag(Cf(z)))
  171. #define d_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  172. #define r_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  173. #define d_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  174. #define r_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  175. #define d_log(x) (log(*(x)))
  176. #define d_mod(x, y) (fmod(*(x), *(y)))
  177. #define u_nint(__x) ((__x)>=0 ? floor((__x) + .5) : -floor(.5 - (__x)))
  178. #define d_nint(x) u_nint(*(x))
  179. #define u_sign(__a,__b) ((__b) >= 0 ? ((__a) >= 0 ? (__a) : -(__a)) : -((__a) >= 0 ? (__a) : -(__a)))
  180. #define d_sign(a,b) u_sign(*(a),*(b))
  181. #define r_sign(a,b) u_sign(*(a),*(b))
  182. #define d_sin(x) (sin(*(x)))
  183. #define d_sinh(x) (sinh(*(x)))
  184. #define d_sqrt(x) (sqrt(*(x)))
  185. #define d_tan(x) (tan(*(x)))
  186. #define d_tanh(x) (tanh(*(x)))
  187. #define i_abs(x) abs(*(x))
  188. #define i_dnnt(x) ((integer)u_nint(*(x)))
  189. #define i_len(s, n) (n)
  190. #define i_nint(x) ((integer)u_nint(*(x)))
  191. #define i_sign(a,b) ((integer)u_sign((integer)*(a),(integer)*(b)))
  192. #define pow_dd(ap, bp) ( pow(*(ap), *(bp)))
  193. #define pow_si(B,E) spow_ui(*(B),*(E))
  194. #define pow_ri(B,E) spow_ui(*(B),*(E))
  195. #define pow_di(B,E) dpow_ui(*(B),*(E))
  196. #define pow_zi(p, a, b) {pCd(p) = zpow_ui(Cd(a), *(b));}
  197. #define pow_ci(p, a, b) {pCf(p) = cpow_ui(Cf(a), *(b));}
  198. #define pow_zz(R,A,B) {pCd(R) = cpow(Cd(A),*(B));}
  199. #define s_cat(lpp, rpp, rnp, np, llp) { ftnlen i, nc, ll; char *f__rp, *lp; ll = (llp); lp = (lpp); for(i=0; i < (int)*(np); ++i) { nc = ll; if((rnp)[i] < nc) nc = (rnp)[i]; ll -= nc; f__rp = (rpp)[i]; while(--nc >= 0) *lp++ = *(f__rp)++; } while(--ll >= 0) *lp++ = ' '; }
  200. #define s_cmp(a,b,c,d) ((integer)strncmp((a),(b),f2cmin((c),(d))))
  201. #define s_copy(A,B,C,D) { int __i,__m; for (__i=0, __m=f2cmin((C),(D)); __i<__m && (B)[__i] != 0; ++__i) (A)[__i] = (B)[__i]; }
  202. #define sig_die(s, kill) { exit(1); }
  203. #define s_stop(s, n) {exit(0);}
  204. static char junk[] = "\n@(#)LIBF77 VERSION 19990503\n";
  205. #define z_abs(z) (cabs(Cd(z)))
  206. #define z_exp(R, Z) {pCd(R) = cexp(Cd(Z));}
  207. #define z_sqrt(R, Z) {pCd(R) = csqrt(Cd(Z));}
  208. #define myexit_() break;
  209. #define mycycle_() continue;
  210. #define myceiling_(w) ceil(w)
  211. #define myhuge_(w) HUGE_VAL
  212. //#define mymaxloc_(w,s,e,n) {if (sizeof(*(w)) == sizeof(double)) dmaxloc_((w),*(s),*(e),n); else dmaxloc_((w),*(s),*(e),n);}
  213. #define mymaxloc_(w,s,e,n) dmaxloc_(w,*(s),*(e),n)
  214. /* procedure parameter types for -A and -C++ */
  215. #define F2C_proc_par_types 1
  216. #ifdef __cplusplus
  217. typedef logical (*L_fp)(...);
  218. #else
  219. typedef logical (*L_fp)();
  220. #endif
  221. static float spow_ui(float x, integer n) {
  222. float pow=1.0; unsigned long int u;
  223. if(n != 0) {
  224. if(n < 0) n = -n, x = 1/x;
  225. for(u = n; ; ) {
  226. if(u & 01) pow *= x;
  227. if(u >>= 1) x *= x;
  228. else break;
  229. }
  230. }
  231. return pow;
  232. }
  233. static double dpow_ui(double x, integer n) {
  234. double pow=1.0; unsigned long int u;
  235. if(n != 0) {
  236. if(n < 0) n = -n, x = 1/x;
  237. for(u = n; ; ) {
  238. if(u & 01) pow *= x;
  239. if(u >>= 1) x *= x;
  240. else break;
  241. }
  242. }
  243. return pow;
  244. }
  245. static _Complex float cpow_ui(_Complex float x, integer n) {
  246. _Complex float pow=1.0; unsigned long int u;
  247. if(n != 0) {
  248. if(n < 0) n = -n, x = 1/x;
  249. for(u = n; ; ) {
  250. if(u & 01) pow *= x;
  251. if(u >>= 1) x *= x;
  252. else break;
  253. }
  254. }
  255. return pow;
  256. }
  257. static _Complex double zpow_ui(_Complex double x, integer n) {
  258. _Complex double pow=1.0; unsigned long int u;
  259. if(n != 0) {
  260. if(n < 0) n = -n, x = 1/x;
  261. for(u = n; ; ) {
  262. if(u & 01) pow *= x;
  263. if(u >>= 1) x *= x;
  264. else break;
  265. }
  266. }
  267. return pow;
  268. }
  269. static integer pow_ii(integer x, integer n) {
  270. integer pow; unsigned long int u;
  271. if (n <= 0) {
  272. if (n == 0 || x == 1) pow = 1;
  273. else if (x != -1) pow = x == 0 ? 1/x : 0;
  274. else n = -n;
  275. }
  276. if ((n > 0) || !(n == 0 || x == 1 || x != -1)) {
  277. u = n;
  278. for(pow = 1; ; ) {
  279. if(u & 01) pow *= x;
  280. if(u >>= 1) x *= x;
  281. else break;
  282. }
  283. }
  284. return pow;
  285. }
  286. static integer dmaxloc_(double *w, integer s, integer e, integer *n)
  287. {
  288. double m; integer i, mi;
  289. for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
  290. if (w[i-1]>m) mi=i ,m=w[i-1];
  291. return mi-s+1;
  292. }
  293. static integer smaxloc_(float *w, integer s, integer e, integer *n)
  294. {
  295. float m; integer i, mi;
  296. for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
  297. if (w[i-1]>m) mi=i ,m=w[i-1];
  298. return mi-s+1;
  299. }
  300. static inline void cdotc_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
  301. integer n = *n_, incx = *incx_, incy = *incy_, i;
  302. _Complex float zdotc = 0.0;
  303. if (incx == 1 && incy == 1) {
  304. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  305. zdotc += conjf(Cf(&x[i])) * Cf(&y[i]);
  306. }
  307. } else {
  308. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  309. zdotc += conjf(Cf(&x[i*incx])) * Cf(&y[i*incy]);
  310. }
  311. }
  312. pCf(z) = zdotc;
  313. }
  314. static inline void zdotc_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
  315. integer n = *n_, incx = *incx_, incy = *incy_, i;
  316. _Complex double zdotc = 0.0;
  317. if (incx == 1 && incy == 1) {
  318. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  319. zdotc += conj(Cd(&x[i])) * Cd(&y[i]);
  320. }
  321. } else {
  322. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  323. zdotc += conj(Cd(&x[i*incx])) * Cd(&y[i*incy]);
  324. }
  325. }
  326. pCd(z) = zdotc;
  327. }
  328. static inline void cdotu_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
  329. integer n = *n_, incx = *incx_, incy = *incy_, i;
  330. _Complex float zdotc = 0.0;
  331. if (incx == 1 && incy == 1) {
  332. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  333. zdotc += Cf(&x[i]) * Cf(&y[i]);
  334. }
  335. } else {
  336. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  337. zdotc += Cf(&x[i*incx]) * Cf(&y[i*incy]);
  338. }
  339. }
  340. pCf(z) = zdotc;
  341. }
  342. static inline void zdotu_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
  343. integer n = *n_, incx = *incx_, incy = *incy_, i;
  344. _Complex double zdotc = 0.0;
  345. if (incx == 1 && incy == 1) {
  346. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  347. zdotc += Cd(&x[i]) * Cd(&y[i]);
  348. }
  349. } else {
  350. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  351. zdotc += Cd(&x[i*incx]) * Cd(&y[i*incy]);
  352. }
  353. }
  354. pCd(z) = zdotc;
  355. }
  356. #endif
  357. /* -- translated by f2c (version 20000121).
  358. You must link the resulting object file with the libraries:
  359. -lf2c -lm (in that order)
  360. */
  361. /* Table of constant values */
  362. static complex c_b1 = {0.f,0.f};
  363. static complex c_b2 = {1.f,0.f};
  364. static integer c__3 = 3;
  365. static integer c__1 = 1;
  366. /* > \brief \b CLAROR */
  367. /* =========== DOCUMENTATION =========== */
  368. /* Online html documentation available at */
  369. /* http://www.netlib.org/lapack/explore-html/ */
  370. /* Definition: */
  371. /* =========== */
  372. /* SUBROUTINE CLAROR( SIDE, INIT, M, N, A, LDA, ISEED, X, INFO ) */
  373. /* CHARACTER INIT, SIDE */
  374. /* INTEGER INFO, LDA, M, N */
  375. /* INTEGER ISEED( 4 ) */
  376. /* COMPLEX A( LDA, * ), X( * ) */
  377. /* > \par Purpose: */
  378. /* ============= */
  379. /* > */
  380. /* > \verbatim */
  381. /* > */
  382. /* > CLAROR pre- or post-multiplies an M by N matrix A by a random */
  383. /* > unitary matrix U, overwriting A. A may optionally be */
  384. /* > initialized to the identity matrix before multiplying by U. */
  385. /* > U is generated using the method of G.W. Stewart */
  386. /* > ( SIAM J. Numer. Anal. 17, 1980, pp. 403-409 ). */
  387. /* > (BLAS-2 version) */
  388. /* > \endverbatim */
  389. /* Arguments: */
  390. /* ========== */
  391. /* > \param[in] SIDE */
  392. /* > \verbatim */
  393. /* > SIDE is CHARACTER*1 */
  394. /* > SIDE specifies whether A is multiplied on the left or right */
  395. /* > by U. */
  396. /* > SIDE = 'L' Multiply A on the left (premultiply) by U */
  397. /* > SIDE = 'R' Multiply A on the right (postmultiply) by UC> SIDE = 'C' Multiply A on the lef
  398. t by U and the right by UC> SIDE = 'T' Multiply A on the left by U and the right by U' */
  399. /* > Not modified. */
  400. /* > \endverbatim */
  401. /* > */
  402. /* > \param[in] INIT */
  403. /* > \verbatim */
  404. /* > INIT is CHARACTER*1 */
  405. /* > INIT specifies whether or not A should be initialized to */
  406. /* > the identity matrix. */
  407. /* > INIT = 'I' Initialize A to (a section of) the */
  408. /* > identity matrix before applying U. */
  409. /* > INIT = 'N' No initialization. Apply U to the */
  410. /* > input matrix A. */
  411. /* > */
  412. /* > INIT = 'I' may be used to generate square (i.e., unitary) */
  413. /* > or rectangular orthogonal matrices (orthogonality being */
  414. /* > in the sense of CDOTC): */
  415. /* > */
  416. /* > For square matrices, M=N, and SIDE many be either 'L' or */
  417. /* > 'R'; the rows will be orthogonal to each other, as will the */
  418. /* > columns. */
  419. /* > For rectangular matrices where M < N, SIDE = 'R' will */
  420. /* > produce a dense matrix whose rows will be orthogonal and */
  421. /* > whose columns will not, while SIDE = 'L' will produce a */
  422. /* > matrix whose rows will be orthogonal, and whose first M */
  423. /* > columns will be orthogonal, the remaining columns being */
  424. /* > zero. */
  425. /* > For matrices where M > N, just use the previous */
  426. /* > explanation, interchanging 'L' and 'R' and "rows" and */
  427. /* > "columns". */
  428. /* > */
  429. /* > Not modified. */
  430. /* > \endverbatim */
  431. /* > */
  432. /* > \param[in] M */
  433. /* > \verbatim */
  434. /* > M is INTEGER */
  435. /* > Number of rows of A. Not modified. */
  436. /* > \endverbatim */
  437. /* > */
  438. /* > \param[in] N */
  439. /* > \verbatim */
  440. /* > N is INTEGER */
  441. /* > Number of columns of A. Not modified. */
  442. /* > \endverbatim */
  443. /* > */
  444. /* > \param[in,out] A */
  445. /* > \verbatim */
  446. /* > A is COMPLEX array, dimension ( LDA, N ) */
  447. /* > Input and output array. Overwritten by U A ( if SIDE = 'L' ) */
  448. /* > or by A U ( if SIDE = 'R' ) */
  449. /* > or by U A U* ( if SIDE = 'C') */
  450. /* > or by U A U' ( if SIDE = 'T') on exit. */
  451. /* > \endverbatim */
  452. /* > */
  453. /* > \param[in] LDA */
  454. /* > \verbatim */
  455. /* > LDA is INTEGER */
  456. /* > Leading dimension of A. Must be at least MAX ( 1, M ). */
  457. /* > Not modified. */
  458. /* > \endverbatim */
  459. /* > */
  460. /* > \param[in,out] ISEED */
  461. /* > \verbatim */
  462. /* > ISEED is INTEGER array, dimension ( 4 ) */
  463. /* > On entry ISEED specifies the seed of the random number */
  464. /* > generator. The array elements should be between 0 and 4095; */
  465. /* > if not they will be reduced mod 4096. Also, ISEED(4) must */
  466. /* > be odd. The random number generator uses a linear */
  467. /* > congruential sequence limited to small integers, and so */
  468. /* > should produce machine independent random numbers. The */
  469. /* > values of ISEED are changed on exit, and can be used in the */
  470. /* > next call to CLAROR to continue the same random number */
  471. /* > sequence. */
  472. /* > Modified. */
  473. /* > \endverbatim */
  474. /* > */
  475. /* > \param[out] X */
  476. /* > \verbatim */
  477. /* > X is COMPLEX array, dimension ( 3*MAX( M, N ) ) */
  478. /* > Workspace. Of length: */
  479. /* > 2*M + N if SIDE = 'L', */
  480. /* > 2*N + M if SIDE = 'R', */
  481. /* > 3*N if SIDE = 'C' or 'T'. */
  482. /* > Modified. */
  483. /* > \endverbatim */
  484. /* > */
  485. /* > \param[out] INFO */
  486. /* > \verbatim */
  487. /* > INFO is INTEGER */
  488. /* > An error flag. It is set to: */
  489. /* > 0 if no error. */
  490. /* > 1 if CLARND returned a bad random number (installation */
  491. /* > problem) */
  492. /* > -1 if SIDE is not L, R, C, or T. */
  493. /* > -3 if M is negative. */
  494. /* > -4 if N is negative or if SIDE is C or T and N is not equal */
  495. /* > to M. */
  496. /* > -6 if LDA is less than M. */
  497. /* > \endverbatim */
  498. /* Authors: */
  499. /* ======== */
  500. /* > \author Univ. of Tennessee */
  501. /* > \author Univ. of California Berkeley */
  502. /* > \author Univ. of Colorado Denver */
  503. /* > \author NAG Ltd. */
  504. /* > \date December 2016 */
  505. /* > \ingroup complex_matgen */
  506. /* ===================================================================== */
  507. /* Subroutine */ int claror_(char *side, char *init, integer *m, integer *n,
  508. complex *a, integer *lda, integer *iseed, complex *x, integer *info)
  509. {
  510. /* System generated locals */
  511. integer a_dim1, a_offset, i__1, i__2, i__3;
  512. complex q__1, q__2;
  513. /* Local variables */
  514. integer kbeg, jcol;
  515. real xabs;
  516. integer irow, j;
  517. extern /* Subroutine */ int cgerc_(integer *, integer *, complex *,
  518. complex *, integer *, complex *, integer *, complex *, integer *),
  519. cscal_(integer *, complex *, complex *, integer *);
  520. extern logical lsame_(char *, char *);
  521. extern /* Subroutine */ int cgemv_(char *, integer *, integer *, complex *
  522. , complex *, integer *, complex *, integer *, complex *, complex *
  523. , integer *);
  524. complex csign;
  525. integer ixfrm, itype, nxfrm;
  526. real xnorm;
  527. extern real scnrm2_(integer *, complex *, integer *);
  528. extern /* Subroutine */ int clacgv_(integer *, complex *, integer *);
  529. //extern /* Complex */ VOID clarnd_(complex *, integer *, integer *);
  530. extern complex clarnd_(integer *, integer *);
  531. extern /* Subroutine */ int claset_(char *, integer *, integer *, complex
  532. *, complex *, complex *, integer *), xerbla_(char *,
  533. integer *);
  534. real factor;
  535. complex xnorms;
  536. /* -- LAPACK auxiliary routine (version 3.7.0) -- */
  537. /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
  538. /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  539. /* December 2016 */
  540. /* ===================================================================== */
  541. /* Parameter adjustments */
  542. a_dim1 = *lda;
  543. a_offset = 1 + a_dim1 * 1;
  544. a -= a_offset;
  545. --iseed;
  546. --x;
  547. /* Function Body */
  548. *info = 0;
  549. if (*n == 0 || *m == 0) {
  550. return 0;
  551. }
  552. itype = 0;
  553. if (lsame_(side, "L")) {
  554. itype = 1;
  555. } else if (lsame_(side, "R")) {
  556. itype = 2;
  557. } else if (lsame_(side, "C")) {
  558. itype = 3;
  559. } else if (lsame_(side, "T")) {
  560. itype = 4;
  561. }
  562. /* Check for argument errors. */
  563. if (itype == 0) {
  564. *info = -1;
  565. } else if (*m < 0) {
  566. *info = -3;
  567. } else if (*n < 0 || itype == 3 && *n != *m) {
  568. *info = -4;
  569. } else if (*lda < *m) {
  570. *info = -6;
  571. }
  572. if (*info != 0) {
  573. i__1 = -(*info);
  574. xerbla_("CLAROR", &i__1);
  575. return 0;
  576. }
  577. if (itype == 1) {
  578. nxfrm = *m;
  579. } else {
  580. nxfrm = *n;
  581. }
  582. /* Initialize A to the identity matrix if desired */
  583. if (lsame_(init, "I")) {
  584. claset_("Full", m, n, &c_b1, &c_b2, &a[a_offset], lda);
  585. }
  586. /* If no rotation possible, still multiply by */
  587. /* a random complex number from the circle |x| = 1 */
  588. /* 2) Compute Rotation by computing Householder */
  589. /* Transformations H(2), H(3), ..., H(n). Note that the */
  590. /* order in which they are computed is irrelevant. */
  591. i__1 = nxfrm;
  592. for (j = 1; j <= i__1; ++j) {
  593. i__2 = j;
  594. x[i__2].r = 0.f, x[i__2].i = 0.f;
  595. /* L40: */
  596. }
  597. i__1 = nxfrm;
  598. for (ixfrm = 2; ixfrm <= i__1; ++ixfrm) {
  599. kbeg = nxfrm - ixfrm + 1;
  600. /* Generate independent normal( 0, 1 ) random numbers */
  601. i__2 = nxfrm;
  602. for (j = kbeg; j <= i__2; ++j) {
  603. i__3 = j;
  604. //clarnd_(&q__1, &c__3, &iseed[1]);
  605. q__1=clarnd_(&c__3, &iseed[1]);
  606. x[i__3].r = q__1.r, x[i__3].i = q__1.i;
  607. /* L50: */
  608. }
  609. /* Generate a Householder transformation from the random vector X */
  610. xnorm = scnrm2_(&ixfrm, &x[kbeg], &c__1);
  611. xabs = c_abs(&x[kbeg]);
  612. if (xabs != 0.f) {
  613. i__2 = kbeg;
  614. q__1.r = x[i__2].r / xabs, q__1.i = x[i__2].i / xabs;
  615. csign.r = q__1.r, csign.i = q__1.i;
  616. } else {
  617. csign.r = 1.f, csign.i = 0.f;
  618. }
  619. q__1.r = xnorm * csign.r, q__1.i = xnorm * csign.i;
  620. xnorms.r = q__1.r, xnorms.i = q__1.i;
  621. i__2 = nxfrm + kbeg;
  622. q__1.r = -csign.r, q__1.i = -csign.i;
  623. x[i__2].r = q__1.r, x[i__2].i = q__1.i;
  624. factor = xnorm * (xnorm + xabs);
  625. if (abs(factor) < 1e-20f) {
  626. *info = 1;
  627. i__2 = -(*info);
  628. xerbla_("CLAROR", &i__2);
  629. return 0;
  630. } else {
  631. factor = 1.f / factor;
  632. }
  633. i__2 = kbeg;
  634. i__3 = kbeg;
  635. q__1.r = x[i__3].r + xnorms.r, q__1.i = x[i__3].i + xnorms.i;
  636. x[i__2].r = q__1.r, x[i__2].i = q__1.i;
  637. /* Apply Householder transformation to A */
  638. if (itype == 1 || itype == 3 || itype == 4) {
  639. /* Apply H(k) on the left of A */
  640. cgemv_("C", &ixfrm, n, &c_b2, &a[kbeg + a_dim1], lda, &x[kbeg], &
  641. c__1, &c_b1, &x[(nxfrm << 1) + 1], &c__1);
  642. q__2.r = factor, q__2.i = 0.f;
  643. q__1.r = -q__2.r, q__1.i = -q__2.i;
  644. cgerc_(&ixfrm, n, &q__1, &x[kbeg], &c__1, &x[(nxfrm << 1) + 1], &
  645. c__1, &a[kbeg + a_dim1], lda);
  646. }
  647. if (itype >= 2 && itype <= 4) {
  648. /* Apply H(k)* (or H(k)') on the right of A */
  649. if (itype == 4) {
  650. clacgv_(&ixfrm, &x[kbeg], &c__1);
  651. }
  652. cgemv_("N", m, &ixfrm, &c_b2, &a[kbeg * a_dim1 + 1], lda, &x[kbeg]
  653. , &c__1, &c_b1, &x[(nxfrm << 1) + 1], &c__1);
  654. q__2.r = factor, q__2.i = 0.f;
  655. q__1.r = -q__2.r, q__1.i = -q__2.i;
  656. cgerc_(m, &ixfrm, &q__1, &x[(nxfrm << 1) + 1], &c__1, &x[kbeg], &
  657. c__1, &a[kbeg * a_dim1 + 1], lda);
  658. }
  659. /* L60: */
  660. }
  661. //clarnd_(&q__1, &c__3, &iseed[1]);
  662. q__1=clarnd_(&c__3, &iseed[1]);
  663. x[1].r = q__1.r, x[1].i = q__1.i;
  664. xabs = c_abs(&x[1]);
  665. if (xabs != 0.f) {
  666. q__1.r = x[1].r / xabs, q__1.i = x[1].i / xabs;
  667. csign.r = q__1.r, csign.i = q__1.i;
  668. } else {
  669. csign.r = 1.f, csign.i = 0.f;
  670. }
  671. i__1 = nxfrm << 1;
  672. x[i__1].r = csign.r, x[i__1].i = csign.i;
  673. /* Scale the matrix A by D. */
  674. if (itype == 1 || itype == 3 || itype == 4) {
  675. i__1 = *m;
  676. for (irow = 1; irow <= i__1; ++irow) {
  677. r_cnjg(&q__1, &x[nxfrm + irow]);
  678. cscal_(n, &q__1, &a[irow + a_dim1], lda);
  679. /* L70: */
  680. }
  681. }
  682. if (itype == 2 || itype == 3) {
  683. i__1 = *n;
  684. for (jcol = 1; jcol <= i__1; ++jcol) {
  685. cscal_(m, &x[nxfrm + jcol], &a[jcol * a_dim1 + 1], &c__1);
  686. /* L80: */
  687. }
  688. }
  689. if (itype == 4) {
  690. i__1 = *n;
  691. for (jcol = 1; jcol <= i__1; ++jcol) {
  692. r_cnjg(&q__1, &x[nxfrm + jcol]);
  693. cscal_(m, &q__1, &a[jcol * a_dim1 + 1], &c__1);
  694. /* L90: */
  695. }
  696. }
  697. return 0;
  698. /* End of CLAROR */
  699. } /* claror_ */