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csyconvf.c 30 kB

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  1. #include <math.h>
  2. #include <stdlib.h>
  3. #include <string.h>
  4. #include <stdio.h>
  5. #include <complex.h>
  6. #ifdef complex
  7. #undef complex
  8. #endif
  9. #ifdef I
  10. #undef I
  11. #endif
  12. #if defined(_WIN64)
  13. typedef long long BLASLONG;
  14. typedef unsigned long long BLASULONG;
  15. #else
  16. typedef long BLASLONG;
  17. typedef unsigned long BLASULONG;
  18. #endif
  19. #ifdef LAPACK_ILP64
  20. typedef BLASLONG blasint;
  21. #if defined(_WIN64)
  22. #define blasabs(x) llabs(x)
  23. #else
  24. #define blasabs(x) labs(x)
  25. #endif
  26. #else
  27. typedef int blasint;
  28. #define blasabs(x) abs(x)
  29. #endif
  30. typedef blasint integer;
  31. typedef unsigned int uinteger;
  32. typedef char *address;
  33. typedef short int shortint;
  34. typedef float real;
  35. typedef double doublereal;
  36. typedef struct { real r, i; } complex;
  37. typedef struct { doublereal r, i; } doublecomplex;
  38. #ifdef _MSC_VER
  39. static inline _Fcomplex Cf(complex *z) {_Fcomplex zz={z->r , z->i}; return zz;}
  40. static inline _Dcomplex Cd(doublecomplex *z) {_Dcomplex zz={z->r , z->i};return zz;}
  41. static inline _Fcomplex * _pCf(complex *z) {return (_Fcomplex*)z;}
  42. static inline _Dcomplex * _pCd(doublecomplex *z) {return (_Dcomplex*)z;}
  43. #else
  44. static inline _Complex float Cf(complex *z) {return z->r + z->i*_Complex_I;}
  45. static inline _Complex double Cd(doublecomplex *z) {return z->r + z->i*_Complex_I;}
  46. static inline _Complex float * _pCf(complex *z) {return (_Complex float*)z;}
  47. static inline _Complex double * _pCd(doublecomplex *z) {return (_Complex double*)z;}
  48. #endif
  49. #define pCf(z) (*_pCf(z))
  50. #define pCd(z) (*_pCd(z))
  51. typedef blasint logical;
  52. typedef char logical1;
  53. typedef char integer1;
  54. #define TRUE_ (1)
  55. #define FALSE_ (0)
  56. /* Extern is for use with -E */
  57. #ifndef Extern
  58. #define Extern extern
  59. #endif
  60. /* I/O stuff */
  61. typedef int flag;
  62. typedef int ftnlen;
  63. typedef int ftnint;
  64. /*external read, write*/
  65. typedef struct
  66. { flag cierr;
  67. ftnint ciunit;
  68. flag ciend;
  69. char *cifmt;
  70. ftnint cirec;
  71. } cilist;
  72. /*internal read, write*/
  73. typedef struct
  74. { flag icierr;
  75. char *iciunit;
  76. flag iciend;
  77. char *icifmt;
  78. ftnint icirlen;
  79. ftnint icirnum;
  80. } icilist;
  81. /*open*/
  82. typedef struct
  83. { flag oerr;
  84. ftnint ounit;
  85. char *ofnm;
  86. ftnlen ofnmlen;
  87. char *osta;
  88. char *oacc;
  89. char *ofm;
  90. ftnint orl;
  91. char *oblnk;
  92. } olist;
  93. /*close*/
  94. typedef struct
  95. { flag cerr;
  96. ftnint cunit;
  97. char *csta;
  98. } cllist;
  99. /*rewind, backspace, endfile*/
  100. typedef struct
  101. { flag aerr;
  102. ftnint aunit;
  103. } alist;
  104. /* inquire */
  105. typedef struct
  106. { flag inerr;
  107. ftnint inunit;
  108. char *infile;
  109. ftnlen infilen;
  110. ftnint *inex; /*parameters in standard's order*/
  111. ftnint *inopen;
  112. ftnint *innum;
  113. ftnint *innamed;
  114. char *inname;
  115. ftnlen innamlen;
  116. char *inacc;
  117. ftnlen inacclen;
  118. char *inseq;
  119. ftnlen inseqlen;
  120. char *indir;
  121. ftnlen indirlen;
  122. char *infmt;
  123. ftnlen infmtlen;
  124. char *inform;
  125. ftnint informlen;
  126. char *inunf;
  127. ftnlen inunflen;
  128. ftnint *inrecl;
  129. ftnint *innrec;
  130. char *inblank;
  131. ftnlen inblanklen;
  132. } inlist;
  133. #define VOID void
  134. union Multitype { /* for multiple entry points */
  135. integer1 g;
  136. shortint h;
  137. integer i;
  138. /* longint j; */
  139. real r;
  140. doublereal d;
  141. complex c;
  142. doublecomplex z;
  143. };
  144. typedef union Multitype Multitype;
  145. struct Vardesc { /* for Namelist */
  146. char *name;
  147. char *addr;
  148. ftnlen *dims;
  149. int type;
  150. };
  151. typedef struct Vardesc Vardesc;
  152. struct Namelist {
  153. char *name;
  154. Vardesc **vars;
  155. int nvars;
  156. };
  157. typedef struct Namelist Namelist;
  158. #define abs(x) ((x) >= 0 ? (x) : -(x))
  159. #define dabs(x) (fabs(x))
  160. #define f2cmin(a,b) ((a) <= (b) ? (a) : (b))
  161. #define f2cmax(a,b) ((a) >= (b) ? (a) : (b))
  162. #define dmin(a,b) (f2cmin(a,b))
  163. #define dmax(a,b) (f2cmax(a,b))
  164. #define bit_test(a,b) ((a) >> (b) & 1)
  165. #define bit_clear(a,b) ((a) & ~((uinteger)1 << (b)))
  166. #define bit_set(a,b) ((a) | ((uinteger)1 << (b)))
  167. #define abort_() { sig_die("Fortran abort routine called", 1); }
  168. #define c_abs(z) (cabsf(Cf(z)))
  169. #define c_cos(R,Z) { pCf(R)=ccos(Cf(Z)); }
  170. #ifdef _MSC_VER
  171. #define c_div(c, a, b) {Cf(c)._Val[0] = (Cf(a)._Val[0]/Cf(b)._Val[0]); Cf(c)._Val[1]=(Cf(a)._Val[1]/Cf(b)._Val[1]);}
  172. #define z_div(c, a, b) {Cd(c)._Val[0] = (Cd(a)._Val[0]/Cd(b)._Val[0]); Cd(c)._Val[1]=(Cd(a)._Val[1]/df(b)._Val[1]);}
  173. #else
  174. #define c_div(c, a, b) {pCf(c) = Cf(a)/Cf(b);}
  175. #define z_div(c, a, b) {pCd(c) = Cd(a)/Cd(b);}
  176. #endif
  177. #define c_exp(R, Z) {pCf(R) = cexpf(Cf(Z));}
  178. #define c_log(R, Z) {pCf(R) = clogf(Cf(Z));}
  179. #define c_sin(R, Z) {pCf(R) = csinf(Cf(Z));}
  180. //#define c_sqrt(R, Z) {*(R) = csqrtf(Cf(Z));}
  181. #define c_sqrt(R, Z) {pCf(R) = csqrtf(Cf(Z));}
  182. #define d_abs(x) (fabs(*(x)))
  183. #define d_acos(x) (acos(*(x)))
  184. #define d_asin(x) (asin(*(x)))
  185. #define d_atan(x) (atan(*(x)))
  186. #define d_atn2(x, y) (atan2(*(x),*(y)))
  187. #define d_cnjg(R, Z) { pCd(R) = conj(Cd(Z)); }
  188. #define r_cnjg(R, Z) { pCf(R) = conjf(Cf(Z)); }
  189. #define d_cos(x) (cos(*(x)))
  190. #define d_cosh(x) (cosh(*(x)))
  191. #define d_dim(__a, __b) ( *(__a) > *(__b) ? *(__a) - *(__b) : 0.0 )
  192. #define d_exp(x) (exp(*(x)))
  193. #define d_imag(z) (cimag(Cd(z)))
  194. #define r_imag(z) (cimagf(Cf(z)))
  195. #define d_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  196. #define r_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  197. #define d_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  198. #define r_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  199. #define d_log(x) (log(*(x)))
  200. #define d_mod(x, y) (fmod(*(x), *(y)))
  201. #define u_nint(__x) ((__x)>=0 ? floor((__x) + .5) : -floor(.5 - (__x)))
  202. #define d_nint(x) u_nint(*(x))
  203. #define u_sign(__a,__b) ((__b) >= 0 ? ((__a) >= 0 ? (__a) : -(__a)) : -((__a) >= 0 ? (__a) : -(__a)))
  204. #define d_sign(a,b) u_sign(*(a),*(b))
  205. #define r_sign(a,b) u_sign(*(a),*(b))
  206. #define d_sin(x) (sin(*(x)))
  207. #define d_sinh(x) (sinh(*(x)))
  208. #define d_sqrt(x) (sqrt(*(x)))
  209. #define d_tan(x) (tan(*(x)))
  210. #define d_tanh(x) (tanh(*(x)))
  211. #define i_abs(x) abs(*(x))
  212. #define i_dnnt(x) ((integer)u_nint(*(x)))
  213. #define i_len(s, n) (n)
  214. #define i_nint(x) ((integer)u_nint(*(x)))
  215. #define i_sign(a,b) ((integer)u_sign((integer)*(a),(integer)*(b)))
  216. #define pow_dd(ap, bp) ( pow(*(ap), *(bp)))
  217. #define pow_si(B,E) spow_ui(*(B),*(E))
  218. #define pow_ri(B,E) spow_ui(*(B),*(E))
  219. #define pow_di(B,E) dpow_ui(*(B),*(E))
  220. #define pow_zi(p, a, b) {pCd(p) = zpow_ui(Cd(a), *(b));}
  221. #define pow_ci(p, a, b) {pCf(p) = cpow_ui(Cf(a), *(b));}
  222. #define pow_zz(R,A,B) {pCd(R) = cpow(Cd(A),*(B));}
  223. #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++ = ' '; }
  224. #define s_cmp(a,b,c,d) ((integer)strncmp((a),(b),f2cmin((c),(d))))
  225. #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]; }
  226. #define sig_die(s, kill) { exit(1); }
  227. #define s_stop(s, n) {exit(0);}
  228. static char junk[] = "\n@(#)LIBF77 VERSION 19990503\n";
  229. #define z_abs(z) (cabs(Cd(z)))
  230. #define z_exp(R, Z) {pCd(R) = cexp(Cd(Z));}
  231. #define z_sqrt(R, Z) {pCd(R) = csqrt(Cd(Z));}
  232. #define myexit_() break;
  233. #define mycycle() continue;
  234. #define myceiling(w) {ceil(w)}
  235. #define myhuge(w) {HUGE_VAL}
  236. //#define mymaxloc_(w,s,e,n) {if (sizeof(*(w)) == sizeof(double)) dmaxloc_((w),*(s),*(e),n); else dmaxloc_((w),*(s),*(e),n);}
  237. #define mymaxloc(w,s,e,n) {dmaxloc_(w,*(s),*(e),n)}
  238. /* procedure parameter types for -A and -C++ */
  239. #ifdef __cplusplus
  240. typedef logical (*L_fp)(...);
  241. #else
  242. typedef logical (*L_fp)();
  243. #endif
  244. static float spow_ui(float x, integer n) {
  245. float pow=1.0; unsigned long int u;
  246. if(n != 0) {
  247. if(n < 0) n = -n, x = 1/x;
  248. for(u = n; ; ) {
  249. if(u & 01) pow *= x;
  250. if(u >>= 1) x *= x;
  251. else break;
  252. }
  253. }
  254. return pow;
  255. }
  256. static double dpow_ui(double x, integer n) {
  257. double pow=1.0; unsigned long int u;
  258. if(n != 0) {
  259. if(n < 0) n = -n, x = 1/x;
  260. for(u = n; ; ) {
  261. if(u & 01) pow *= x;
  262. if(u >>= 1) x *= x;
  263. else break;
  264. }
  265. }
  266. return pow;
  267. }
  268. #ifdef _MSC_VER
  269. static _Fcomplex cpow_ui(complex x, integer n) {
  270. complex pow={1.0,0.0}; unsigned long int u;
  271. if(n != 0) {
  272. if(n < 0) n = -n, x.r = 1/x.r, x.i=1/x.i;
  273. for(u = n; ; ) {
  274. if(u & 01) pow.r *= x.r, pow.i *= x.i;
  275. if(u >>= 1) x.r *= x.r, x.i *= x.i;
  276. else break;
  277. }
  278. }
  279. _Fcomplex p={pow.r, pow.i};
  280. return p;
  281. }
  282. #else
  283. static _Complex float cpow_ui(_Complex float x, integer n) {
  284. _Complex float pow=1.0; unsigned long int u;
  285. if(n != 0) {
  286. if(n < 0) n = -n, x = 1/x;
  287. for(u = n; ; ) {
  288. if(u & 01) pow *= x;
  289. if(u >>= 1) x *= x;
  290. else break;
  291. }
  292. }
  293. return pow;
  294. }
  295. #endif
  296. #ifdef _MSC_VER
  297. static _Dcomplex zpow_ui(_Dcomplex x, integer n) {
  298. _Dcomplex pow={1.0,0.0}; unsigned long int u;
  299. if(n != 0) {
  300. if(n < 0) n = -n, x._Val[0] = 1/x._Val[0], x._Val[1] =1/x._Val[1];
  301. for(u = n; ; ) {
  302. if(u & 01) pow._Val[0] *= x._Val[0], pow._Val[1] *= x._Val[1];
  303. if(u >>= 1) x._Val[0] *= x._Val[0], x._Val[1] *= x._Val[1];
  304. else break;
  305. }
  306. }
  307. _Dcomplex p = {pow._Val[0], pow._Val[1]};
  308. return p;
  309. }
  310. #else
  311. static _Complex double zpow_ui(_Complex double x, integer n) {
  312. _Complex double pow=1.0; unsigned long int u;
  313. if(n != 0) {
  314. if(n < 0) n = -n, x = 1/x;
  315. for(u = n; ; ) {
  316. if(u & 01) pow *= x;
  317. if(u >>= 1) x *= x;
  318. else break;
  319. }
  320. }
  321. return pow;
  322. }
  323. #endif
  324. static integer pow_ii(integer x, integer n) {
  325. integer pow; unsigned long int u;
  326. if (n <= 0) {
  327. if (n == 0 || x == 1) pow = 1;
  328. else if (x != -1) pow = x == 0 ? 1/x : 0;
  329. else n = -n;
  330. }
  331. if ((n > 0) || !(n == 0 || x == 1 || x != -1)) {
  332. u = n;
  333. for(pow = 1; ; ) {
  334. if(u & 01) pow *= x;
  335. if(u >>= 1) x *= x;
  336. else break;
  337. }
  338. }
  339. return pow;
  340. }
  341. static integer dmaxloc_(double *w, integer s, integer e, integer *n)
  342. {
  343. double m; integer i, mi;
  344. for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
  345. if (w[i-1]>m) mi=i ,m=w[i-1];
  346. return mi-s+1;
  347. }
  348. static integer smaxloc_(float *w, integer s, integer e, integer *n)
  349. {
  350. float m; integer i, mi;
  351. for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
  352. if (w[i-1]>m) mi=i ,m=w[i-1];
  353. return mi-s+1;
  354. }
  355. static inline void cdotc_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
  356. integer n = *n_, incx = *incx_, incy = *incy_, i;
  357. #ifdef _MSC_VER
  358. _Fcomplex zdotc = {0.0, 0.0};
  359. if (incx == 1 && incy == 1) {
  360. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  361. zdotc._Val[0] += conjf(Cf(&x[i]))._Val[0] * Cf(&y[i])._Val[0];
  362. zdotc._Val[1] += conjf(Cf(&x[i]))._Val[1] * Cf(&y[i])._Val[1];
  363. }
  364. } else {
  365. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  366. zdotc._Val[0] += conjf(Cf(&x[i*incx]))._Val[0] * Cf(&y[i*incy])._Val[0];
  367. zdotc._Val[1] += conjf(Cf(&x[i*incx]))._Val[1] * Cf(&y[i*incy])._Val[1];
  368. }
  369. }
  370. pCf(z) = zdotc;
  371. }
  372. #else
  373. _Complex float zdotc = 0.0;
  374. if (incx == 1 && incy == 1) {
  375. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  376. zdotc += conjf(Cf(&x[i])) * Cf(&y[i]);
  377. }
  378. } else {
  379. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  380. zdotc += conjf(Cf(&x[i*incx])) * Cf(&y[i*incy]);
  381. }
  382. }
  383. pCf(z) = zdotc;
  384. }
  385. #endif
  386. static inline void zdotc_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
  387. integer n = *n_, incx = *incx_, incy = *incy_, i;
  388. #ifdef _MSC_VER
  389. _Dcomplex zdotc = {0.0, 0.0};
  390. if (incx == 1 && incy == 1) {
  391. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  392. zdotc._Val[0] += conj(Cd(&x[i]))._Val[0] * Cd(&y[i])._Val[0];
  393. zdotc._Val[1] += conj(Cd(&x[i]))._Val[1] * Cd(&y[i])._Val[1];
  394. }
  395. } else {
  396. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  397. zdotc._Val[0] += conj(Cd(&x[i*incx]))._Val[0] * Cd(&y[i*incy])._Val[0];
  398. zdotc._Val[1] += conj(Cd(&x[i*incx]))._Val[1] * Cd(&y[i*incy])._Val[1];
  399. }
  400. }
  401. pCd(z) = zdotc;
  402. }
  403. #else
  404. _Complex double zdotc = 0.0;
  405. if (incx == 1 && incy == 1) {
  406. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  407. zdotc += conj(Cd(&x[i])) * Cd(&y[i]);
  408. }
  409. } else {
  410. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  411. zdotc += conj(Cd(&x[i*incx])) * Cd(&y[i*incy]);
  412. }
  413. }
  414. pCd(z) = zdotc;
  415. }
  416. #endif
  417. static inline void cdotu_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
  418. integer n = *n_, incx = *incx_, incy = *incy_, i;
  419. #ifdef _MSC_VER
  420. _Fcomplex zdotc = {0.0, 0.0};
  421. if (incx == 1 && incy == 1) {
  422. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  423. zdotc._Val[0] += Cf(&x[i])._Val[0] * Cf(&y[i])._Val[0];
  424. zdotc._Val[1] += Cf(&x[i])._Val[1] * Cf(&y[i])._Val[1];
  425. }
  426. } else {
  427. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  428. zdotc._Val[0] += Cf(&x[i*incx])._Val[0] * Cf(&y[i*incy])._Val[0];
  429. zdotc._Val[1] += Cf(&x[i*incx])._Val[1] * Cf(&y[i*incy])._Val[1];
  430. }
  431. }
  432. pCf(z) = zdotc;
  433. }
  434. #else
  435. _Complex float zdotc = 0.0;
  436. if (incx == 1 && incy == 1) {
  437. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  438. zdotc += Cf(&x[i]) * Cf(&y[i]);
  439. }
  440. } else {
  441. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  442. zdotc += Cf(&x[i*incx]) * Cf(&y[i*incy]);
  443. }
  444. }
  445. pCf(z) = zdotc;
  446. }
  447. #endif
  448. static inline void zdotu_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
  449. integer n = *n_, incx = *incx_, incy = *incy_, i;
  450. #ifdef _MSC_VER
  451. _Dcomplex zdotc = {0.0, 0.0};
  452. if (incx == 1 && incy == 1) {
  453. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  454. zdotc._Val[0] += Cd(&x[i])._Val[0] * Cd(&y[i])._Val[0];
  455. zdotc._Val[1] += Cd(&x[i])._Val[1] * Cd(&y[i])._Val[1];
  456. }
  457. } else {
  458. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  459. zdotc._Val[0] += Cd(&x[i*incx])._Val[0] * Cd(&y[i*incy])._Val[0];
  460. zdotc._Val[1] += Cd(&x[i*incx])._Val[1] * Cd(&y[i*incy])._Val[1];
  461. }
  462. }
  463. pCd(z) = zdotc;
  464. }
  465. #else
  466. _Complex double zdotc = 0.0;
  467. if (incx == 1 && incy == 1) {
  468. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  469. zdotc += Cd(&x[i]) * Cd(&y[i]);
  470. }
  471. } else {
  472. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  473. zdotc += Cd(&x[i*incx]) * Cd(&y[i*incy]);
  474. }
  475. }
  476. pCd(z) = zdotc;
  477. }
  478. #endif
  479. /* -- translated by f2c (version 20000121).
  480. You must link the resulting object file with the libraries:
  481. -lf2c -lm (in that order)
  482. */
  483. /* > \brief \b CSYCONVF */
  484. /* =========== DOCUMENTATION =========== */
  485. /* Online html documentation available at */
  486. /* http://www.netlib.org/lapack/explore-html/ */
  487. /* > \htmlonly */
  488. /* > Download CSYCONVF + dependencies */
  489. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/csyconv
  490. f.f"> */
  491. /* > [TGZ]</a> */
  492. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/csyconv
  493. f.f"> */
  494. /* > [ZIP]</a> */
  495. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/csyconv
  496. f.f"> */
  497. /* > [TXT]</a> */
  498. /* > \endhtmlonly */
  499. /* Definition: */
  500. /* =========== */
  501. /* SUBROUTINE CSYCONVF( UPLO, WAY, N, A, LDA, E, IPIV, INFO ) */
  502. /* CHARACTER UPLO, WAY */
  503. /* INTEGER INFO, LDA, N */
  504. /* INTEGER IPIV( * ) */
  505. /* COMPLEX A( LDA, * ), E( * ) */
  506. /* > \par Purpose: */
  507. /* ============= */
  508. /* > */
  509. /* > \verbatim */
  510. /* > If parameter WAY = 'C': */
  511. /* > CSYCONVF converts the factorization output format used in */
  512. /* > CSYTRF provided on entry in parameter A into the factorization */
  513. /* > output format used in CSYTRF_RK (or CSYTRF_BK) that is stored */
  514. /* > on exit in parameters A and E. It also coverts in place details of */
  515. /* > the intechanges stored in IPIV from the format used in CSYTRF into */
  516. /* > the format used in CSYTRF_RK (or CSYTRF_BK). */
  517. /* > */
  518. /* > If parameter WAY = 'R': */
  519. /* > CSYCONVF performs the conversion in reverse direction, i.e. */
  520. /* > converts the factorization output format used in CSYTRF_RK */
  521. /* > (or CSYTRF_BK) provided on entry in parameters A and E into */
  522. /* > the factorization output format used in CSYTRF that is stored */
  523. /* > on exit in parameter A. It also coverts in place details of */
  524. /* > the intechanges stored in IPIV from the format used in CSYTRF_RK */
  525. /* > (or CSYTRF_BK) into the format used in CSYTRF. */
  526. /* > */
  527. /* > CSYCONVF can also convert in Hermitian matrix case, i.e. between */
  528. /* > formats used in CHETRF and CHETRF_RK (or CHETRF_BK). */
  529. /* > \endverbatim */
  530. /* Arguments: */
  531. /* ========== */
  532. /* > \param[in] UPLO */
  533. /* > \verbatim */
  534. /* > UPLO is CHARACTER*1 */
  535. /* > Specifies whether the details of the factorization are */
  536. /* > stored as an upper or lower triangular matrix A. */
  537. /* > = 'U': Upper triangular */
  538. /* > = 'L': Lower triangular */
  539. /* > \endverbatim */
  540. /* > */
  541. /* > \param[in] WAY */
  542. /* > \verbatim */
  543. /* > WAY is CHARACTER*1 */
  544. /* > = 'C': Convert */
  545. /* > = 'R': Revert */
  546. /* > \endverbatim */
  547. /* > */
  548. /* > \param[in] N */
  549. /* > \verbatim */
  550. /* > N is INTEGER */
  551. /* > The order of the matrix A. N >= 0. */
  552. /* > \endverbatim */
  553. /* > */
  554. /* > \param[in,out] A */
  555. /* > \verbatim */
  556. /* > A is COMPLEX array, dimension (LDA,N) */
  557. /* > */
  558. /* > 1) If WAY ='C': */
  559. /* > */
  560. /* > On entry, contains factorization details in format used in */
  561. /* > CSYTRF: */
  562. /* > a) all elements of the symmetric block diagonal */
  563. /* > matrix D on the diagonal of A and on superdiagonal */
  564. /* > (or subdiagonal) of A, and */
  565. /* > b) If UPLO = 'U': multipliers used to obtain factor U */
  566. /* > in the superdiagonal part of A. */
  567. /* > If UPLO = 'L': multipliers used to obtain factor L */
  568. /* > in the superdiagonal part of A. */
  569. /* > */
  570. /* > On exit, contains factorization details in format used in */
  571. /* > CSYTRF_RK or CSYTRF_BK: */
  572. /* > a) ONLY diagonal elements of the symmetric block diagonal */
  573. /* > matrix D on the diagonal of A, i.e. D(k,k) = A(k,k); */
  574. /* > (superdiagonal (or subdiagonal) elements of D */
  575. /* > are stored on exit in array E), and */
  576. /* > b) If UPLO = 'U': factor U in the superdiagonal part of A. */
  577. /* > If UPLO = 'L': factor L in the subdiagonal part of A. */
  578. /* > */
  579. /* > 2) If WAY = 'R': */
  580. /* > */
  581. /* > On entry, contains factorization details in format used in */
  582. /* > CSYTRF_RK or CSYTRF_BK: */
  583. /* > a) ONLY diagonal elements of the symmetric block diagonal */
  584. /* > matrix D on the diagonal of A, i.e. D(k,k) = A(k,k); */
  585. /* > (superdiagonal (or subdiagonal) elements of D */
  586. /* > are stored on exit in array E), and */
  587. /* > b) If UPLO = 'U': factor U in the superdiagonal part of A. */
  588. /* > If UPLO = 'L': factor L in the subdiagonal part of A. */
  589. /* > */
  590. /* > On exit, contains factorization details in format used in */
  591. /* > CSYTRF: */
  592. /* > a) all elements of the symmetric block diagonal */
  593. /* > matrix D on the diagonal of A and on superdiagonal */
  594. /* > (or subdiagonal) of A, and */
  595. /* > b) If UPLO = 'U': multipliers used to obtain factor U */
  596. /* > in the superdiagonal part of A. */
  597. /* > If UPLO = 'L': multipliers used to obtain factor L */
  598. /* > in the superdiagonal part of A. */
  599. /* > \endverbatim */
  600. /* > */
  601. /* > \param[in] LDA */
  602. /* > \verbatim */
  603. /* > LDA is INTEGER */
  604. /* > The leading dimension of the array A. LDA >= f2cmax(1,N). */
  605. /* > \endverbatim */
  606. /* > */
  607. /* > \param[in,out] E */
  608. /* > \verbatim */
  609. /* > E is COMPLEX array, dimension (N) */
  610. /* > */
  611. /* > 1) If WAY ='C': */
  612. /* > */
  613. /* > On entry, just a workspace. */
  614. /* > */
  615. /* > On exit, contains the superdiagonal (or subdiagonal) */
  616. /* > elements of the symmetric block diagonal matrix D */
  617. /* > with 1-by-1 or 2-by-2 diagonal blocks, where */
  618. /* > If UPLO = 'U': E(i) = D(i-1,i), i=2:N, E(1) is set to 0; */
  619. /* > If UPLO = 'L': E(i) = D(i+1,i), i=1:N-1, E(N) is set to 0. */
  620. /* > */
  621. /* > 2) If WAY = 'R': */
  622. /* > */
  623. /* > On entry, contains the superdiagonal (or subdiagonal) */
  624. /* > elements of the symmetric block diagonal matrix D */
  625. /* > with 1-by-1 or 2-by-2 diagonal blocks, where */
  626. /* > If UPLO = 'U': E(i) = D(i-1,i),i=2:N, E(1) not referenced; */
  627. /* > If UPLO = 'L': E(i) = D(i+1,i),i=1:N-1, E(N) not referenced. */
  628. /* > */
  629. /* > On exit, is not changed */
  630. /* > \endverbatim */
  631. /* . */
  632. /* > \param[in,out] IPIV */
  633. /* > \verbatim */
  634. /* > IPIV is INTEGER array, dimension (N) */
  635. /* > */
  636. /* > 1) If WAY ='C': */
  637. /* > On entry, details of the interchanges and the block */
  638. /* > structure of D in the format used in CSYTRF. */
  639. /* > On exit, details of the interchanges and the block */
  640. /* > structure of D in the format used in CSYTRF_RK */
  641. /* > ( or CSYTRF_BK). */
  642. /* > */
  643. /* > 1) If WAY ='R': */
  644. /* > On entry, details of the interchanges and the block */
  645. /* > structure of D in the format used in CSYTRF_RK */
  646. /* > ( or CSYTRF_BK). */
  647. /* > On exit, details of the interchanges and the block */
  648. /* > structure of D in the format used in CSYTRF. */
  649. /* > \endverbatim */
  650. /* > */
  651. /* > \param[out] INFO */
  652. /* > \verbatim */
  653. /* > INFO is INTEGER */
  654. /* > = 0: successful exit */
  655. /* > < 0: if INFO = -i, the i-th argument had an illegal value */
  656. /* > \endverbatim */
  657. /* Authors: */
  658. /* ======== */
  659. /* > \author Univ. of Tennessee */
  660. /* > \author Univ. of California Berkeley */
  661. /* > \author Univ. of Colorado Denver */
  662. /* > \author NAG Ltd. */
  663. /* > \date November 2017 */
  664. /* > \ingroup complexSYcomputational */
  665. /* > \par Contributors: */
  666. /* ================== */
  667. /* > */
  668. /* > \verbatim */
  669. /* > */
  670. /* > November 2017, Igor Kozachenko, */
  671. /* > Computer Science Division, */
  672. /* > University of California, Berkeley */
  673. /* > */
  674. /* > \endverbatim */
  675. /* ===================================================================== */
  676. /* Subroutine */ void csyconvf_(char *uplo, char *way, integer *n, complex *a,
  677. integer *lda, complex *e, integer *ipiv, integer *info)
  678. {
  679. /* System generated locals */
  680. integer a_dim1, a_offset, i__1, i__2;
  681. /* Local variables */
  682. integer i__;
  683. extern logical lsame_(char *, char *);
  684. extern /* Subroutine */ void cswap_(integer *, complex *, integer *,
  685. complex *, integer *);
  686. logical upper;
  687. integer ip;
  688. extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
  689. logical convert;
  690. /* -- LAPACK computational routine (version 3.8.0) -- */
  691. /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
  692. /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  693. /* November 2017 */
  694. /* ===================================================================== */
  695. /* Parameter adjustments */
  696. a_dim1 = *lda;
  697. a_offset = 1 + a_dim1 * 1;
  698. a -= a_offset;
  699. --e;
  700. --ipiv;
  701. /* Function Body */
  702. *info = 0;
  703. upper = lsame_(uplo, "U");
  704. convert = lsame_(way, "C");
  705. if (! upper && ! lsame_(uplo, "L")) {
  706. *info = -1;
  707. } else if (! convert && ! lsame_(way, "R")) {
  708. *info = -2;
  709. } else if (*n < 0) {
  710. *info = -3;
  711. } else if (*lda < f2cmax(1,*n)) {
  712. *info = -5;
  713. }
  714. if (*info != 0) {
  715. i__1 = -(*info);
  716. xerbla_("CSYCONVF", &i__1, (ftnlen)8);
  717. return;
  718. }
  719. /* Quick return if possible */
  720. if (*n == 0) {
  721. return;
  722. }
  723. if (upper) {
  724. /* Begin A is UPPER */
  725. if (convert) {
  726. /* Convert A (A is upper) */
  727. /* Convert VALUE */
  728. /* Assign superdiagonal entries of D to array E and zero out */
  729. /* corresponding entries in input storage A */
  730. i__ = *n;
  731. e[1].r = 0.f, e[1].i = 0.f;
  732. while(i__ > 1) {
  733. if (ipiv[i__] < 0) {
  734. i__1 = i__;
  735. i__2 = i__ - 1 + i__ * a_dim1;
  736. e[i__1].r = a[i__2].r, e[i__1].i = a[i__2].i;
  737. i__1 = i__ - 1;
  738. e[i__1].r = 0.f, e[i__1].i = 0.f;
  739. i__1 = i__ - 1 + i__ * a_dim1;
  740. a[i__1].r = 0.f, a[i__1].i = 0.f;
  741. --i__;
  742. } else {
  743. i__1 = i__;
  744. e[i__1].r = 0.f, e[i__1].i = 0.f;
  745. }
  746. --i__;
  747. }
  748. /* Convert PERMUTATIONS and IPIV */
  749. /* Apply permutations to submatrices of upper part of A */
  750. /* in factorization order where i decreases from N to 1 */
  751. i__ = *n;
  752. while(i__ >= 1) {
  753. if (ipiv[i__] > 0) {
  754. /* 1-by-1 pivot interchange */
  755. /* Swap rows i and IPIV(i) in A(1:i,N-i:N) */
  756. ip = ipiv[i__];
  757. if (i__ < *n) {
  758. if (ip != i__) {
  759. i__1 = *n - i__;
  760. cswap_(&i__1, &a[i__ + (i__ + 1) * a_dim1], lda, &
  761. a[ip + (i__ + 1) * a_dim1], lda);
  762. }
  763. }
  764. } else {
  765. /* 2-by-2 pivot interchange */
  766. /* Swap rows i-1 and IPIV(i) in A(1:i,N-i:N) */
  767. ip = -ipiv[i__];
  768. if (i__ < *n) {
  769. if (ip != i__ - 1) {
  770. i__1 = *n - i__;
  771. cswap_(&i__1, &a[i__ - 1 + (i__ + 1) * a_dim1],
  772. lda, &a[ip + (i__ + 1) * a_dim1], lda);
  773. }
  774. }
  775. /* Convert IPIV */
  776. /* There is no interchnge of rows i and and IPIV(i), */
  777. /* so this should be reflected in IPIV format for */
  778. /* *SYTRF_RK ( or *SYTRF_BK) */
  779. ipiv[i__] = i__;
  780. --i__;
  781. }
  782. --i__;
  783. }
  784. } else {
  785. /* Revert A (A is upper) */
  786. /* Revert PERMUTATIONS and IPIV */
  787. /* Apply permutations to submatrices of upper part of A */
  788. /* in reverse factorization order where i increases from 1 to N */
  789. i__ = 1;
  790. while(i__ <= *n) {
  791. if (ipiv[i__] > 0) {
  792. /* 1-by-1 pivot interchange */
  793. /* Swap rows i and IPIV(i) in A(1:i,N-i:N) */
  794. ip = ipiv[i__];
  795. if (i__ < *n) {
  796. if (ip != i__) {
  797. i__1 = *n - i__;
  798. cswap_(&i__1, &a[ip + (i__ + 1) * a_dim1], lda, &
  799. a[i__ + (i__ + 1) * a_dim1], lda);
  800. }
  801. }
  802. } else {
  803. /* 2-by-2 pivot interchange */
  804. /* Swap rows i-1 and IPIV(i) in A(1:i,N-i:N) */
  805. ++i__;
  806. ip = -ipiv[i__];
  807. if (i__ < *n) {
  808. if (ip != i__ - 1) {
  809. i__1 = *n - i__;
  810. cswap_(&i__1, &a[ip + (i__ + 1) * a_dim1], lda, &
  811. a[i__ - 1 + (i__ + 1) * a_dim1], lda);
  812. }
  813. }
  814. /* Convert IPIV */
  815. /* There is one interchange of rows i-1 and IPIV(i-1), */
  816. /* so this should be recorded in two consecutive entries */
  817. /* in IPIV format for *SYTRF */
  818. ipiv[i__] = ipiv[i__ - 1];
  819. }
  820. ++i__;
  821. }
  822. /* Revert VALUE */
  823. /* Assign superdiagonal entries of D from array E to */
  824. /* superdiagonal entries of A. */
  825. i__ = *n;
  826. while(i__ > 1) {
  827. if (ipiv[i__] < 0) {
  828. i__1 = i__ - 1 + i__ * a_dim1;
  829. i__2 = i__;
  830. a[i__1].r = e[i__2].r, a[i__1].i = e[i__2].i;
  831. --i__;
  832. }
  833. --i__;
  834. }
  835. /* End A is UPPER */
  836. }
  837. } else {
  838. /* Begin A is LOWER */
  839. if (convert) {
  840. /* Convert A (A is lower) */
  841. /* Convert VALUE */
  842. /* Assign subdiagonal entries of D to array E and zero out */
  843. /* corresponding entries in input storage A */
  844. i__ = 1;
  845. i__1 = *n;
  846. e[i__1].r = 0.f, e[i__1].i = 0.f;
  847. while(i__ <= *n) {
  848. if (i__ < *n && ipiv[i__] < 0) {
  849. i__1 = i__;
  850. i__2 = i__ + 1 + i__ * a_dim1;
  851. e[i__1].r = a[i__2].r, e[i__1].i = a[i__2].i;
  852. i__1 = i__ + 1;
  853. e[i__1].r = 0.f, e[i__1].i = 0.f;
  854. i__1 = i__ + 1 + i__ * a_dim1;
  855. a[i__1].r = 0.f, a[i__1].i = 0.f;
  856. ++i__;
  857. } else {
  858. i__1 = i__;
  859. e[i__1].r = 0.f, e[i__1].i = 0.f;
  860. }
  861. ++i__;
  862. }
  863. /* Convert PERMUTATIONS and IPIV */
  864. /* Apply permutations to submatrices of lower part of A */
  865. /* in factorization order where k increases from 1 to N */
  866. i__ = 1;
  867. while(i__ <= *n) {
  868. if (ipiv[i__] > 0) {
  869. /* 1-by-1 pivot interchange */
  870. /* Swap rows i and IPIV(i) in A(i:N,1:i-1) */
  871. ip = ipiv[i__];
  872. if (i__ > 1) {
  873. if (ip != i__) {
  874. i__1 = i__ - 1;
  875. cswap_(&i__1, &a[i__ + a_dim1], lda, &a[ip +
  876. a_dim1], lda);
  877. }
  878. }
  879. } else {
  880. /* 2-by-2 pivot interchange */
  881. /* Swap rows i+1 and IPIV(i) in A(i:N,1:i-1) */
  882. ip = -ipiv[i__];
  883. if (i__ > 1) {
  884. if (ip != i__ + 1) {
  885. i__1 = i__ - 1;
  886. cswap_(&i__1, &a[i__ + 1 + a_dim1], lda, &a[ip +
  887. a_dim1], lda);
  888. }
  889. }
  890. /* Convert IPIV */
  891. /* There is no interchnge of rows i and and IPIV(i), */
  892. /* so this should be reflected in IPIV format for */
  893. /* *SYTRF_RK ( or *SYTRF_BK) */
  894. ipiv[i__] = i__;
  895. ++i__;
  896. }
  897. ++i__;
  898. }
  899. } else {
  900. /* Revert A (A is lower) */
  901. /* Revert PERMUTATIONS and IPIV */
  902. /* Apply permutations to submatrices of lower part of A */
  903. /* in reverse factorization order where i decreases from N to 1 */
  904. i__ = *n;
  905. while(i__ >= 1) {
  906. if (ipiv[i__] > 0) {
  907. /* 1-by-1 pivot interchange */
  908. /* Swap rows i and IPIV(i) in A(i:N,1:i-1) */
  909. ip = ipiv[i__];
  910. if (i__ > 1) {
  911. if (ip != i__) {
  912. i__1 = i__ - 1;
  913. cswap_(&i__1, &a[ip + a_dim1], lda, &a[i__ +
  914. a_dim1], lda);
  915. }
  916. }
  917. } else {
  918. /* 2-by-2 pivot interchange */
  919. /* Swap rows i+1 and IPIV(i) in A(i:N,1:i-1) */
  920. --i__;
  921. ip = -ipiv[i__];
  922. if (i__ > 1) {
  923. if (ip != i__ + 1) {
  924. i__1 = i__ - 1;
  925. cswap_(&i__1, &a[ip + a_dim1], lda, &a[i__ + 1 +
  926. a_dim1], lda);
  927. }
  928. }
  929. /* Convert IPIV */
  930. /* There is one interchange of rows i+1 and IPIV(i+1), */
  931. /* so this should be recorded in consecutive entries */
  932. /* in IPIV format for *SYTRF */
  933. ipiv[i__] = ipiv[i__ + 1];
  934. }
  935. --i__;
  936. }
  937. /* Revert VALUE */
  938. /* Assign subdiagonal entries of D from array E to */
  939. /* subgiagonal entries of A. */
  940. i__ = 1;
  941. while(i__ <= *n - 1) {
  942. if (ipiv[i__] < 0) {
  943. i__1 = i__ + 1 + i__ * a_dim1;
  944. i__2 = i__;
  945. a[i__1].r = e[i__2].r, a[i__1].i = e[i__2].i;
  946. ++i__;
  947. }
  948. ++i__;
  949. }
  950. }
  951. /* End A is LOWER */
  952. }
  953. return;
  954. /* End of CSYCONVF */
  955. } /* csyconvf_ */