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csymv.c 25 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. /* > \brief \b CSYMV computes a matrix-vector product for a complex symmetric matrix. */
  362. /* =========== DOCUMENTATION =========== */
  363. /* Online html documentation available at */
  364. /* http://www.netlib.org/lapack/explore-html/ */
  365. /* > \htmlonly */
  366. /* > Download CSYMV + dependencies */
  367. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/csymv.f
  368. "> */
  369. /* > [TGZ]</a> */
  370. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/csymv.f
  371. "> */
  372. /* > [ZIP]</a> */
  373. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/csymv.f
  374. "> */
  375. /* > [TXT]</a> */
  376. /* > \endhtmlonly */
  377. /* Definition: */
  378. /* =========== */
  379. /* SUBROUTINE CSYMV( UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY ) */
  380. /* CHARACTER UPLO */
  381. /* INTEGER INCX, INCY, LDA, N */
  382. /* COMPLEX ALPHA, BETA */
  383. /* COMPLEX A( LDA, * ), X( * ), Y( * ) */
  384. /* > \par Purpose: */
  385. /* ============= */
  386. /* > */
  387. /* > \verbatim */
  388. /* > */
  389. /* > CSYMV performs the matrix-vector operation */
  390. /* > */
  391. /* > y := alpha*A*x + beta*y, */
  392. /* > */
  393. /* > where alpha and beta are scalars, x and y are n element vectors and */
  394. /* > A is an n by n symmetric matrix. */
  395. /* > \endverbatim */
  396. /* Arguments: */
  397. /* ========== */
  398. /* > \param[in] UPLO */
  399. /* > \verbatim */
  400. /* > UPLO is CHARACTER*1 */
  401. /* > On entry, UPLO specifies whether the upper or lower */
  402. /* > triangular part of the array A is to be referenced as */
  403. /* > follows: */
  404. /* > */
  405. /* > UPLO = 'U' or 'u' Only the upper triangular part of A */
  406. /* > is to be referenced. */
  407. /* > */
  408. /* > UPLO = 'L' or 'l' Only the lower triangular part of A */
  409. /* > is to be referenced. */
  410. /* > */
  411. /* > Unchanged on exit. */
  412. /* > \endverbatim */
  413. /* > */
  414. /* > \param[in] N */
  415. /* > \verbatim */
  416. /* > N is INTEGER */
  417. /* > On entry, N specifies the order of the matrix A. */
  418. /* > N must be at least zero. */
  419. /* > Unchanged on exit. */
  420. /* > \endverbatim */
  421. /* > */
  422. /* > \param[in] ALPHA */
  423. /* > \verbatim */
  424. /* > ALPHA is COMPLEX */
  425. /* > On entry, ALPHA specifies the scalar alpha. */
  426. /* > Unchanged on exit. */
  427. /* > \endverbatim */
  428. /* > */
  429. /* > \param[in] A */
  430. /* > \verbatim */
  431. /* > A is COMPLEX array, dimension ( LDA, N ) */
  432. /* > Before entry, with UPLO = 'U' or 'u', the leading n by n */
  433. /* > upper triangular part of the array A must contain the upper */
  434. /* > triangular part of the symmetric matrix and the strictly */
  435. /* > lower triangular part of A is not referenced. */
  436. /* > Before entry, with UPLO = 'L' or 'l', the leading n by n */
  437. /* > lower triangular part of the array A must contain the lower */
  438. /* > triangular part of the symmetric matrix and the strictly */
  439. /* > upper triangular part of A is not referenced. */
  440. /* > Unchanged on exit. */
  441. /* > \endverbatim */
  442. /* > */
  443. /* > \param[in] LDA */
  444. /* > \verbatim */
  445. /* > LDA is INTEGER */
  446. /* > On entry, LDA specifies the first dimension of A as declared */
  447. /* > in the calling (sub) program. LDA must be at least */
  448. /* > f2cmax( 1, N ). */
  449. /* > Unchanged on exit. */
  450. /* > \endverbatim */
  451. /* > */
  452. /* > \param[in] X */
  453. /* > \verbatim */
  454. /* > X is COMPLEX array, dimension at least */
  455. /* > ( 1 + ( N - 1 )*abs( INCX ) ). */
  456. /* > Before entry, the incremented array X must contain the N- */
  457. /* > element vector x. */
  458. /* > Unchanged on exit. */
  459. /* > \endverbatim */
  460. /* > */
  461. /* > \param[in] INCX */
  462. /* > \verbatim */
  463. /* > INCX is INTEGER */
  464. /* > On entry, INCX specifies the increment for the elements of */
  465. /* > X. INCX must not be zero. */
  466. /* > Unchanged on exit. */
  467. /* > \endverbatim */
  468. /* > */
  469. /* > \param[in] BETA */
  470. /* > \verbatim */
  471. /* > BETA is COMPLEX */
  472. /* > On entry, BETA specifies the scalar beta. When BETA is */
  473. /* > supplied as zero then Y need not be set on input. */
  474. /* > Unchanged on exit. */
  475. /* > \endverbatim */
  476. /* > */
  477. /* > \param[in,out] Y */
  478. /* > \verbatim */
  479. /* > Y is COMPLEX array, dimension at least */
  480. /* > ( 1 + ( N - 1 )*abs( INCY ) ). */
  481. /* > Before entry, the incremented array Y must contain the n */
  482. /* > element vector y. On exit, Y is overwritten by the updated */
  483. /* > vector y. */
  484. /* > \endverbatim */
  485. /* > */
  486. /* > \param[in] INCY */
  487. /* > \verbatim */
  488. /* > INCY is INTEGER */
  489. /* > On entry, INCY specifies the increment for the elements of */
  490. /* > Y. INCY must not be zero. */
  491. /* > Unchanged on exit. */
  492. /* > \endverbatim */
  493. /* Authors: */
  494. /* ======== */
  495. /* > \author Univ. of Tennessee */
  496. /* > \author Univ. of California Berkeley */
  497. /* > \author Univ. of Colorado Denver */
  498. /* > \author NAG Ltd. */
  499. /* > \date December 2016 */
  500. /* > \ingroup complexSYauxiliary */
  501. /* ===================================================================== */
  502. /* Subroutine */ int csymv_(char *uplo, integer *n, complex *alpha, complex *
  503. a, integer *lda, complex *x, integer *incx, complex *beta, complex *y,
  504. integer *incy)
  505. {
  506. /* System generated locals */
  507. integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5;
  508. complex q__1, q__2, q__3, q__4;
  509. /* Local variables */
  510. integer info;
  511. complex temp1, temp2;
  512. integer i__, j;
  513. extern logical lsame_(char *, char *);
  514. integer ix, iy, jx, jy, kx, ky;
  515. extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
  516. /* -- LAPACK auxiliary routine (version 3.7.0) -- */
  517. /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
  518. /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  519. /* December 2016 */
  520. /* ===================================================================== */
  521. /* Test the input parameters. */
  522. /* Parameter adjustments */
  523. a_dim1 = *lda;
  524. a_offset = 1 + a_dim1 * 1;
  525. a -= a_offset;
  526. --x;
  527. --y;
  528. /* Function Body */
  529. info = 0;
  530. if (! lsame_(uplo, "U") && ! lsame_(uplo, "L")) {
  531. info = 1;
  532. } else if (*n < 0) {
  533. info = 2;
  534. } else if (*lda < f2cmax(1,*n)) {
  535. info = 5;
  536. } else if (*incx == 0) {
  537. info = 7;
  538. } else if (*incy == 0) {
  539. info = 10;
  540. }
  541. if (info != 0) {
  542. xerbla_("CSYMV ", &info, (ftnlen)6);
  543. return 0;
  544. }
  545. /* Quick return if possible. */
  546. if (*n == 0 || alpha->r == 0.f && alpha->i == 0.f && (beta->r == 1.f &&
  547. beta->i == 0.f)) {
  548. return 0;
  549. }
  550. /* Set up the start points in X and Y. */
  551. if (*incx > 0) {
  552. kx = 1;
  553. } else {
  554. kx = 1 - (*n - 1) * *incx;
  555. }
  556. if (*incy > 0) {
  557. ky = 1;
  558. } else {
  559. ky = 1 - (*n - 1) * *incy;
  560. }
  561. /* Start the operations. In this version the elements of A are */
  562. /* accessed sequentially with one pass through the triangular part */
  563. /* of A. */
  564. /* First form y := beta*y. */
  565. if (beta->r != 1.f || beta->i != 0.f) {
  566. if (*incy == 1) {
  567. if (beta->r == 0.f && beta->i == 0.f) {
  568. i__1 = *n;
  569. for (i__ = 1; i__ <= i__1; ++i__) {
  570. i__2 = i__;
  571. y[i__2].r = 0.f, y[i__2].i = 0.f;
  572. /* L10: */
  573. }
  574. } else {
  575. i__1 = *n;
  576. for (i__ = 1; i__ <= i__1; ++i__) {
  577. i__2 = i__;
  578. i__3 = i__;
  579. q__1.r = beta->r * y[i__3].r - beta->i * y[i__3].i,
  580. q__1.i = beta->r * y[i__3].i + beta->i * y[i__3]
  581. .r;
  582. y[i__2].r = q__1.r, y[i__2].i = q__1.i;
  583. /* L20: */
  584. }
  585. }
  586. } else {
  587. iy = ky;
  588. if (beta->r == 0.f && beta->i == 0.f) {
  589. i__1 = *n;
  590. for (i__ = 1; i__ <= i__1; ++i__) {
  591. i__2 = iy;
  592. y[i__2].r = 0.f, y[i__2].i = 0.f;
  593. iy += *incy;
  594. /* L30: */
  595. }
  596. } else {
  597. i__1 = *n;
  598. for (i__ = 1; i__ <= i__1; ++i__) {
  599. i__2 = iy;
  600. i__3 = iy;
  601. q__1.r = beta->r * y[i__3].r - beta->i * y[i__3].i,
  602. q__1.i = beta->r * y[i__3].i + beta->i * y[i__3]
  603. .r;
  604. y[i__2].r = q__1.r, y[i__2].i = q__1.i;
  605. iy += *incy;
  606. /* L40: */
  607. }
  608. }
  609. }
  610. }
  611. if (alpha->r == 0.f && alpha->i == 0.f) {
  612. return 0;
  613. }
  614. if (lsame_(uplo, "U")) {
  615. /* Form y when A is stored in upper triangle. */
  616. if (*incx == 1 && *incy == 1) {
  617. i__1 = *n;
  618. for (j = 1; j <= i__1; ++j) {
  619. i__2 = j;
  620. q__1.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i, q__1.i =
  621. alpha->r * x[i__2].i + alpha->i * x[i__2].r;
  622. temp1.r = q__1.r, temp1.i = q__1.i;
  623. temp2.r = 0.f, temp2.i = 0.f;
  624. i__2 = j - 1;
  625. for (i__ = 1; i__ <= i__2; ++i__) {
  626. i__3 = i__;
  627. i__4 = i__;
  628. i__5 = i__ + j * a_dim1;
  629. q__2.r = temp1.r * a[i__5].r - temp1.i * a[i__5].i,
  630. q__2.i = temp1.r * a[i__5].i + temp1.i * a[i__5]
  631. .r;
  632. q__1.r = y[i__4].r + q__2.r, q__1.i = y[i__4].i + q__2.i;
  633. y[i__3].r = q__1.r, y[i__3].i = q__1.i;
  634. i__3 = i__ + j * a_dim1;
  635. i__4 = i__;
  636. q__2.r = a[i__3].r * x[i__4].r - a[i__3].i * x[i__4].i,
  637. q__2.i = a[i__3].r * x[i__4].i + a[i__3].i * x[
  638. i__4].r;
  639. q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
  640. temp2.r = q__1.r, temp2.i = q__1.i;
  641. /* L50: */
  642. }
  643. i__2 = j;
  644. i__3 = j;
  645. i__4 = j + j * a_dim1;
  646. q__3.r = temp1.r * a[i__4].r - temp1.i * a[i__4].i, q__3.i =
  647. temp1.r * a[i__4].i + temp1.i * a[i__4].r;
  648. q__2.r = y[i__3].r + q__3.r, q__2.i = y[i__3].i + q__3.i;
  649. q__4.r = alpha->r * temp2.r - alpha->i * temp2.i, q__4.i =
  650. alpha->r * temp2.i + alpha->i * temp2.r;
  651. q__1.r = q__2.r + q__4.r, q__1.i = q__2.i + q__4.i;
  652. y[i__2].r = q__1.r, y[i__2].i = q__1.i;
  653. /* L60: */
  654. }
  655. } else {
  656. jx = kx;
  657. jy = ky;
  658. i__1 = *n;
  659. for (j = 1; j <= i__1; ++j) {
  660. i__2 = jx;
  661. q__1.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i, q__1.i =
  662. alpha->r * x[i__2].i + alpha->i * x[i__2].r;
  663. temp1.r = q__1.r, temp1.i = q__1.i;
  664. temp2.r = 0.f, temp2.i = 0.f;
  665. ix = kx;
  666. iy = ky;
  667. i__2 = j - 1;
  668. for (i__ = 1; i__ <= i__2; ++i__) {
  669. i__3 = iy;
  670. i__4 = iy;
  671. i__5 = i__ + j * a_dim1;
  672. q__2.r = temp1.r * a[i__5].r - temp1.i * a[i__5].i,
  673. q__2.i = temp1.r * a[i__5].i + temp1.i * a[i__5]
  674. .r;
  675. q__1.r = y[i__4].r + q__2.r, q__1.i = y[i__4].i + q__2.i;
  676. y[i__3].r = q__1.r, y[i__3].i = q__1.i;
  677. i__3 = i__ + j * a_dim1;
  678. i__4 = ix;
  679. q__2.r = a[i__3].r * x[i__4].r - a[i__3].i * x[i__4].i,
  680. q__2.i = a[i__3].r * x[i__4].i + a[i__3].i * x[
  681. i__4].r;
  682. q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
  683. temp2.r = q__1.r, temp2.i = q__1.i;
  684. ix += *incx;
  685. iy += *incy;
  686. /* L70: */
  687. }
  688. i__2 = jy;
  689. i__3 = jy;
  690. i__4 = j + j * a_dim1;
  691. q__3.r = temp1.r * a[i__4].r - temp1.i * a[i__4].i, q__3.i =
  692. temp1.r * a[i__4].i + temp1.i * a[i__4].r;
  693. q__2.r = y[i__3].r + q__3.r, q__2.i = y[i__3].i + q__3.i;
  694. q__4.r = alpha->r * temp2.r - alpha->i * temp2.i, q__4.i =
  695. alpha->r * temp2.i + alpha->i * temp2.r;
  696. q__1.r = q__2.r + q__4.r, q__1.i = q__2.i + q__4.i;
  697. y[i__2].r = q__1.r, y[i__2].i = q__1.i;
  698. jx += *incx;
  699. jy += *incy;
  700. /* L80: */
  701. }
  702. }
  703. } else {
  704. /* Form y when A is stored in lower triangle. */
  705. if (*incx == 1 && *incy == 1) {
  706. i__1 = *n;
  707. for (j = 1; j <= i__1; ++j) {
  708. i__2 = j;
  709. q__1.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i, q__1.i =
  710. alpha->r * x[i__2].i + alpha->i * x[i__2].r;
  711. temp1.r = q__1.r, temp1.i = q__1.i;
  712. temp2.r = 0.f, temp2.i = 0.f;
  713. i__2 = j;
  714. i__3 = j;
  715. i__4 = j + j * a_dim1;
  716. q__2.r = temp1.r * a[i__4].r - temp1.i * a[i__4].i, q__2.i =
  717. temp1.r * a[i__4].i + temp1.i * a[i__4].r;
  718. q__1.r = y[i__3].r + q__2.r, q__1.i = y[i__3].i + q__2.i;
  719. y[i__2].r = q__1.r, y[i__2].i = q__1.i;
  720. i__2 = *n;
  721. for (i__ = j + 1; i__ <= i__2; ++i__) {
  722. i__3 = i__;
  723. i__4 = i__;
  724. i__5 = i__ + j * a_dim1;
  725. q__2.r = temp1.r * a[i__5].r - temp1.i * a[i__5].i,
  726. q__2.i = temp1.r * a[i__5].i + temp1.i * a[i__5]
  727. .r;
  728. q__1.r = y[i__4].r + q__2.r, q__1.i = y[i__4].i + q__2.i;
  729. y[i__3].r = q__1.r, y[i__3].i = q__1.i;
  730. i__3 = i__ + j * a_dim1;
  731. i__4 = i__;
  732. q__2.r = a[i__3].r * x[i__4].r - a[i__3].i * x[i__4].i,
  733. q__2.i = a[i__3].r * x[i__4].i + a[i__3].i * x[
  734. i__4].r;
  735. q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
  736. temp2.r = q__1.r, temp2.i = q__1.i;
  737. /* L90: */
  738. }
  739. i__2 = j;
  740. i__3 = j;
  741. q__2.r = alpha->r * temp2.r - alpha->i * temp2.i, q__2.i =
  742. alpha->r * temp2.i + alpha->i * temp2.r;
  743. q__1.r = y[i__3].r + q__2.r, q__1.i = y[i__3].i + q__2.i;
  744. y[i__2].r = q__1.r, y[i__2].i = q__1.i;
  745. /* L100: */
  746. }
  747. } else {
  748. jx = kx;
  749. jy = ky;
  750. i__1 = *n;
  751. for (j = 1; j <= i__1; ++j) {
  752. i__2 = jx;
  753. q__1.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i, q__1.i =
  754. alpha->r * x[i__2].i + alpha->i * x[i__2].r;
  755. temp1.r = q__1.r, temp1.i = q__1.i;
  756. temp2.r = 0.f, temp2.i = 0.f;
  757. i__2 = jy;
  758. i__3 = jy;
  759. i__4 = j + j * a_dim1;
  760. q__2.r = temp1.r * a[i__4].r - temp1.i * a[i__4].i, q__2.i =
  761. temp1.r * a[i__4].i + temp1.i * a[i__4].r;
  762. q__1.r = y[i__3].r + q__2.r, q__1.i = y[i__3].i + q__2.i;
  763. y[i__2].r = q__1.r, y[i__2].i = q__1.i;
  764. ix = jx;
  765. iy = jy;
  766. i__2 = *n;
  767. for (i__ = j + 1; i__ <= i__2; ++i__) {
  768. ix += *incx;
  769. iy += *incy;
  770. i__3 = iy;
  771. i__4 = iy;
  772. i__5 = i__ + j * a_dim1;
  773. q__2.r = temp1.r * a[i__5].r - temp1.i * a[i__5].i,
  774. q__2.i = temp1.r * a[i__5].i + temp1.i * a[i__5]
  775. .r;
  776. q__1.r = y[i__4].r + q__2.r, q__1.i = y[i__4].i + q__2.i;
  777. y[i__3].r = q__1.r, y[i__3].i = q__1.i;
  778. i__3 = i__ + j * a_dim1;
  779. i__4 = ix;
  780. q__2.r = a[i__3].r * x[i__4].r - a[i__3].i * x[i__4].i,
  781. q__2.i = a[i__3].r * x[i__4].i + a[i__3].i * x[
  782. i__4].r;
  783. q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
  784. temp2.r = q__1.r, temp2.i = q__1.i;
  785. /* L110: */
  786. }
  787. i__2 = jy;
  788. i__3 = jy;
  789. q__2.r = alpha->r * temp2.r - alpha->i * temp2.i, q__2.i =
  790. alpha->r * temp2.i + alpha->i * temp2.r;
  791. q__1.r = y[i__3].r + q__2.r, q__1.i = y[i__3].i + q__2.i;
  792. y[i__2].r = q__1.r, y[i__2].i = q__1.i;
  793. jx += *incx;
  794. jy += *incy;
  795. /* L120: */
  796. }
  797. }
  798. }
  799. return 0;
  800. /* End of CSYMV */
  801. } /* csymv_ */