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clatm5.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 char integer1;
  52. #define TRUE_ (1)
  53. #define FALSE_ (0)
  54. /* Extern is for use with -E */
  55. #ifndef Extern
  56. #define Extern extern
  57. #endif
  58. /* I/O stuff */
  59. typedef int flag;
  60. typedef int ftnlen;
  61. typedef int ftnint;
  62. /*external read, write*/
  63. typedef struct
  64. { flag cierr;
  65. ftnint ciunit;
  66. flag ciend;
  67. char *cifmt;
  68. ftnint cirec;
  69. } cilist;
  70. /*internal read, write*/
  71. typedef struct
  72. { flag icierr;
  73. char *iciunit;
  74. flag iciend;
  75. char *icifmt;
  76. ftnint icirlen;
  77. ftnint icirnum;
  78. } icilist;
  79. /*open*/
  80. typedef struct
  81. { flag oerr;
  82. ftnint ounit;
  83. char *ofnm;
  84. ftnlen ofnmlen;
  85. char *osta;
  86. char *oacc;
  87. char *ofm;
  88. ftnint orl;
  89. char *oblnk;
  90. } olist;
  91. /*close*/
  92. typedef struct
  93. { flag cerr;
  94. ftnint cunit;
  95. char *csta;
  96. } cllist;
  97. /*rewind, backspace, endfile*/
  98. typedef struct
  99. { flag aerr;
  100. ftnint aunit;
  101. } alist;
  102. /* inquire */
  103. typedef struct
  104. { flag inerr;
  105. ftnint inunit;
  106. char *infile;
  107. ftnlen infilen;
  108. ftnint *inex; /*parameters in standard's order*/
  109. ftnint *inopen;
  110. ftnint *innum;
  111. ftnint *innamed;
  112. char *inname;
  113. ftnlen innamlen;
  114. char *inacc;
  115. ftnlen inacclen;
  116. char *inseq;
  117. ftnlen inseqlen;
  118. char *indir;
  119. ftnlen indirlen;
  120. char *infmt;
  121. ftnlen infmtlen;
  122. char *inform;
  123. ftnint informlen;
  124. char *inunf;
  125. ftnlen inunflen;
  126. ftnint *inrecl;
  127. ftnint *innrec;
  128. char *inblank;
  129. ftnlen inblanklen;
  130. } inlist;
  131. #define VOID void
  132. union Multitype { /* for multiple entry points */
  133. integer1 g;
  134. shortint h;
  135. integer i;
  136. /* longint j; */
  137. real r;
  138. doublereal d;
  139. complex c;
  140. doublecomplex z;
  141. };
  142. typedef union Multitype Multitype;
  143. struct Vardesc { /* for Namelist */
  144. char *name;
  145. char *addr;
  146. ftnlen *dims;
  147. int type;
  148. };
  149. typedef struct Vardesc Vardesc;
  150. struct Namelist {
  151. char *name;
  152. Vardesc **vars;
  153. int nvars;
  154. };
  155. typedef struct Namelist Namelist;
  156. #define abs(x) ((x) >= 0 ? (x) : -(x))
  157. #define dabs(x) (fabs(x))
  158. #define f2cmin(a,b) ((a) <= (b) ? (a) : (b))
  159. #define f2cmax(a,b) ((a) >= (b) ? (a) : (b))
  160. #define dmin(a,b) (f2cmin(a,b))
  161. #define dmax(a,b) (f2cmax(a,b))
  162. #define bit_test(a,b) ((a) >> (b) & 1)
  163. #define bit_clear(a,b) ((a) & ~((uinteger)1 << (b)))
  164. #define bit_set(a,b) ((a) | ((uinteger)1 << (b)))
  165. #define abort_() { sig_die("Fortran abort routine called", 1); }
  166. #define c_abs(z) (cabsf(Cf(z)))
  167. #define c_cos(R,Z) { pCf(R)=ccos(Cf(Z)); }
  168. #ifdef _MSC_VER
  169. #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]);}
  170. #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]);}
  171. #else
  172. #define c_div(c, a, b) {pCf(c) = Cf(a)/Cf(b);}
  173. #define z_div(c, a, b) {pCd(c) = Cd(a)/Cd(b);}
  174. #endif
  175. #define c_exp(R, Z) {pCf(R) = cexpf(Cf(Z));}
  176. #define c_log(R, Z) {pCf(R) = clogf(Cf(Z));}
  177. #define c_sin(R, Z) {pCf(R) = csinf(Cf(Z));}
  178. //#define c_sqrt(R, Z) {*(R) = csqrtf(Cf(Z));}
  179. #define c_sqrt(R, Z) {pCf(R) = csqrtf(Cf(Z));}
  180. #define d_abs(x) (fabs(*(x)))
  181. #define d_acos(x) (acos(*(x)))
  182. #define d_asin(x) (asin(*(x)))
  183. #define d_atan(x) (atan(*(x)))
  184. #define d_atn2(x, y) (atan2(*(x),*(y)))
  185. #define d_cnjg(R, Z) { pCd(R) = conj(Cd(Z)); }
  186. #define r_cnjg(R, Z) { pCf(R) = conjf(Cf(Z)); }
  187. #define d_cos(x) (cos(*(x)))
  188. #define d_cosh(x) (cosh(*(x)))
  189. #define d_dim(__a, __b) ( *(__a) > *(__b) ? *(__a) - *(__b) : 0.0 )
  190. #define d_exp(x) (exp(*(x)))
  191. #define d_imag(z) (cimag(Cd(z)))
  192. #define r_imag(z) (cimagf(Cf(z)))
  193. #define d_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  194. #define r_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  195. #define d_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  196. #define r_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  197. #define d_log(x) (log(*(x)))
  198. #define d_mod(x, y) (fmod(*(x), *(y)))
  199. #define u_nint(__x) ((__x)>=0 ? floor((__x) + .5) : -floor(.5 - (__x)))
  200. #define d_nint(x) u_nint(*(x))
  201. #define u_sign(__a,__b) ((__b) >= 0 ? ((__a) >= 0 ? (__a) : -(__a)) : -((__a) >= 0 ? (__a) : -(__a)))
  202. #define d_sign(a,b) u_sign(*(a),*(b))
  203. #define r_sign(a,b) u_sign(*(a),*(b))
  204. #define d_sin(x) (sin(*(x)))
  205. #define d_sinh(x) (sinh(*(x)))
  206. #define d_sqrt(x) (sqrt(*(x)))
  207. #define d_tan(x) (tan(*(x)))
  208. #define d_tanh(x) (tanh(*(x)))
  209. #define i_abs(x) abs(*(x))
  210. #define i_dnnt(x) ((integer)u_nint(*(x)))
  211. #define i_len(s, n) (n)
  212. #define i_nint(x) ((integer)u_nint(*(x)))
  213. #define i_sign(a,b) ((integer)u_sign((integer)*(a),(integer)*(b)))
  214. #define pow_dd(ap, bp) ( pow(*(ap), *(bp)))
  215. #define pow_si(B,E) spow_ui(*(B),*(E))
  216. #define pow_ri(B,E) spow_ui(*(B),*(E))
  217. #define pow_di(B,E) dpow_ui(*(B),*(E))
  218. #define pow_zi(p, a, b) {pCd(p) = zpow_ui(Cd(a), *(b));}
  219. #define pow_ci(p, a, b) {pCf(p) = cpow_ui(Cf(a), *(b));}
  220. #define pow_zz(R,A,B) {pCd(R) = cpow(Cd(A),*(B));}
  221. #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++ = ' '; }
  222. #define s_cmp(a,b,c,d) ((integer)strncmp((a),(b),f2cmin((c),(d))))
  223. #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]; }
  224. #define sig_die(s, kill) { exit(1); }
  225. #define s_stop(s, n) {exit(0);}
  226. #define z_abs(z) (cabs(Cd(z)))
  227. #define z_exp(R, Z) {pCd(R) = cexp(Cd(Z));}
  228. #define z_sqrt(R, Z) {pCd(R) = csqrt(Cd(Z));}
  229. #define myexit_() break;
  230. #define mycycle() continue;
  231. #define myceiling(w) {ceil(w)}
  232. #define myhuge(w) {HUGE_VAL}
  233. //#define mymaxloc_(w,s,e,n) {if (sizeof(*(w)) == sizeof(double)) dmaxloc_((w),*(s),*(e),n); else dmaxloc_((w),*(s),*(e),n);}
  234. #define mymaxloc(w,s,e,n) {dmaxloc_(w,*(s),*(e),n)}
  235. /* procedure parameter types for -A and -C++ */
  236. /* Table of constant values */
  237. static complex c_b1 = {1.f,0.f};
  238. static complex c_b3 = {0.f,0.f};
  239. static complex c_b5 = {20.f,0.f};
  240. /* > \brief \b CLATM5 */
  241. /* =========== DOCUMENTATION =========== */
  242. /* Online html documentation available at */
  243. /* http://www.netlib.org/lapack/explore-html/ */
  244. /* Definition: */
  245. /* =========== */
  246. /* SUBROUTINE CLATM5( PRTYPE, M, N, A, LDA, B, LDB, C, LDC, D, LDD, */
  247. /* E, LDE, F, LDF, R, LDR, L, LDL, ALPHA, QBLCKA, */
  248. /* QBLCKB ) */
  249. /* INTEGER LDA, LDB, LDC, LDD, LDE, LDF, LDL, LDR, M, N, */
  250. /* $ PRTYPE, QBLCKA, QBLCKB */
  251. /* REAL ALPHA */
  252. /* COMPLEX A( LDA, * ), B( LDB, * ), C( LDC, * ), */
  253. /* $ D( LDD, * ), E( LDE, * ), F( LDF, * ), */
  254. /* $ L( LDL, * ), R( LDR, * ) */
  255. /* > \par Purpose: */
  256. /* ============= */
  257. /* > */
  258. /* > \verbatim */
  259. /* > */
  260. /* > CLATM5 generates matrices involved in the Generalized Sylvester */
  261. /* > equation: */
  262. /* > */
  263. /* > A * R - L * B = C */
  264. /* > D * R - L * E = F */
  265. /* > */
  266. /* > They also satisfy (the diagonalization condition) */
  267. /* > */
  268. /* > [ I -L ] ( [ A -C ], [ D -F ] ) [ I R ] = ( [ A ], [ D ] ) */
  269. /* > [ I ] ( [ B ] [ E ] ) [ I ] ( [ B ] [ E ] ) */
  270. /* > */
  271. /* > \endverbatim */
  272. /* Arguments: */
  273. /* ========== */
  274. /* > \param[in] PRTYPE */
  275. /* > \verbatim */
  276. /* > PRTYPE is INTEGER */
  277. /* > "Points" to a certain type of the matrices to generate */
  278. /* > (see further details). */
  279. /* > \endverbatim */
  280. /* > */
  281. /* > \param[in] M */
  282. /* > \verbatim */
  283. /* > M is INTEGER */
  284. /* > Specifies the order of A and D and the number of rows in */
  285. /* > C, F, R and L. */
  286. /* > \endverbatim */
  287. /* > */
  288. /* > \param[in] N */
  289. /* > \verbatim */
  290. /* > N is INTEGER */
  291. /* > Specifies the order of B and E and the number of columns in */
  292. /* > C, F, R and L. */
  293. /* > \endverbatim */
  294. /* > */
  295. /* > \param[out] A */
  296. /* > \verbatim */
  297. /* > A is COMPLEX array, dimension (LDA, M). */
  298. /* > On exit A M-by-M is initialized according to PRTYPE. */
  299. /* > \endverbatim */
  300. /* > */
  301. /* > \param[in] LDA */
  302. /* > \verbatim */
  303. /* > LDA is INTEGER */
  304. /* > The leading dimension of A. */
  305. /* > \endverbatim */
  306. /* > */
  307. /* > \param[out] B */
  308. /* > \verbatim */
  309. /* > B is COMPLEX array, dimension (LDB, N). */
  310. /* > On exit B N-by-N is initialized according to PRTYPE. */
  311. /* > \endverbatim */
  312. /* > */
  313. /* > \param[in] LDB */
  314. /* > \verbatim */
  315. /* > LDB is INTEGER */
  316. /* > The leading dimension of B. */
  317. /* > \endverbatim */
  318. /* > */
  319. /* > \param[out] C */
  320. /* > \verbatim */
  321. /* > C is COMPLEX array, dimension (LDC, N). */
  322. /* > On exit C M-by-N is initialized according to PRTYPE. */
  323. /* > \endverbatim */
  324. /* > */
  325. /* > \param[in] LDC */
  326. /* > \verbatim */
  327. /* > LDC is INTEGER */
  328. /* > The leading dimension of C. */
  329. /* > \endverbatim */
  330. /* > */
  331. /* > \param[out] D */
  332. /* > \verbatim */
  333. /* > D is COMPLEX array, dimension (LDD, M). */
  334. /* > On exit D M-by-M is initialized according to PRTYPE. */
  335. /* > \endverbatim */
  336. /* > */
  337. /* > \param[in] LDD */
  338. /* > \verbatim */
  339. /* > LDD is INTEGER */
  340. /* > The leading dimension of D. */
  341. /* > \endverbatim */
  342. /* > */
  343. /* > \param[out] E */
  344. /* > \verbatim */
  345. /* > E is COMPLEX array, dimension (LDE, N). */
  346. /* > On exit E N-by-N is initialized according to PRTYPE. */
  347. /* > \endverbatim */
  348. /* > */
  349. /* > \param[in] LDE */
  350. /* > \verbatim */
  351. /* > LDE is INTEGER */
  352. /* > The leading dimension of E. */
  353. /* > \endverbatim */
  354. /* > */
  355. /* > \param[out] F */
  356. /* > \verbatim */
  357. /* > F is COMPLEX array, dimension (LDF, N). */
  358. /* > On exit F M-by-N is initialized according to PRTYPE. */
  359. /* > \endverbatim */
  360. /* > */
  361. /* > \param[in] LDF */
  362. /* > \verbatim */
  363. /* > LDF is INTEGER */
  364. /* > The leading dimension of F. */
  365. /* > \endverbatim */
  366. /* > */
  367. /* > \param[out] R */
  368. /* > \verbatim */
  369. /* > R is COMPLEX array, dimension (LDR, N). */
  370. /* > On exit R M-by-N is initialized according to PRTYPE. */
  371. /* > \endverbatim */
  372. /* > */
  373. /* > \param[in] LDR */
  374. /* > \verbatim */
  375. /* > LDR is INTEGER */
  376. /* > The leading dimension of R. */
  377. /* > \endverbatim */
  378. /* > */
  379. /* > \param[out] L */
  380. /* > \verbatim */
  381. /* > L is COMPLEX array, dimension (LDL, N). */
  382. /* > On exit L M-by-N is initialized according to PRTYPE. */
  383. /* > \endverbatim */
  384. /* > */
  385. /* > \param[in] LDL */
  386. /* > \verbatim */
  387. /* > LDL is INTEGER */
  388. /* > The leading dimension of L. */
  389. /* > \endverbatim */
  390. /* > */
  391. /* > \param[in] ALPHA */
  392. /* > \verbatim */
  393. /* > ALPHA is REAL */
  394. /* > Parameter used in generating PRTYPE = 1 and 5 matrices. */
  395. /* > \endverbatim */
  396. /* > */
  397. /* > \param[in] QBLCKA */
  398. /* > \verbatim */
  399. /* > QBLCKA is INTEGER */
  400. /* > When PRTYPE = 3, specifies the distance between 2-by-2 */
  401. /* > blocks on the diagonal in A. Otherwise, QBLCKA is not */
  402. /* > referenced. QBLCKA > 1. */
  403. /* > \endverbatim */
  404. /* > */
  405. /* > \param[in] QBLCKB */
  406. /* > \verbatim */
  407. /* > QBLCKB is INTEGER */
  408. /* > When PRTYPE = 3, specifies the distance between 2-by-2 */
  409. /* > blocks on the diagonal in B. Otherwise, QBLCKB is not */
  410. /* > referenced. QBLCKB > 1. */
  411. /* > \endverbatim */
  412. /* Authors: */
  413. /* ======== */
  414. /* > \author Univ. of Tennessee */
  415. /* > \author Univ. of California Berkeley */
  416. /* > \author Univ. of Colorado Denver */
  417. /* > \author NAG Ltd. */
  418. /* > \date June 2016 */
  419. /* > \ingroup complex_matgen */
  420. /* > \par Further Details: */
  421. /* ===================== */
  422. /* > */
  423. /* > \verbatim */
  424. /* > */
  425. /* > PRTYPE = 1: A and B are Jordan blocks, D and E are identity matrices */
  426. /* > */
  427. /* > A : if (i == j) then A(i, j) = 1.0 */
  428. /* > if (j == i + 1) then A(i, j) = -1.0 */
  429. /* > else A(i, j) = 0.0, i, j = 1...M */
  430. /* > */
  431. /* > B : if (i == j) then B(i, j) = 1.0 - ALPHA */
  432. /* > if (j == i + 1) then B(i, j) = 1.0 */
  433. /* > else B(i, j) = 0.0, i, j = 1...N */
  434. /* > */
  435. /* > D : if (i == j) then D(i, j) = 1.0 */
  436. /* > else D(i, j) = 0.0, i, j = 1...M */
  437. /* > */
  438. /* > E : if (i == j) then E(i, j) = 1.0 */
  439. /* > else E(i, j) = 0.0, i, j = 1...N */
  440. /* > */
  441. /* > L = R are chosen from [-10...10], */
  442. /* > which specifies the right hand sides (C, F). */
  443. /* > */
  444. /* > PRTYPE = 2 or 3: Triangular and/or quasi- triangular. */
  445. /* > */
  446. /* > A : if (i <= j) then A(i, j) = [-1...1] */
  447. /* > else A(i, j) = 0.0, i, j = 1...M */
  448. /* > */
  449. /* > if (PRTYPE = 3) then */
  450. /* > A(k + 1, k + 1) = A(k, k) */
  451. /* > A(k + 1, k) = [-1...1] */
  452. /* > sign(A(k, k + 1) = -(sin(A(k + 1, k)) */
  453. /* > k = 1, M - 1, QBLCKA */
  454. /* > */
  455. /* > B : if (i <= j) then B(i, j) = [-1...1] */
  456. /* > else B(i, j) = 0.0, i, j = 1...N */
  457. /* > */
  458. /* > if (PRTYPE = 3) then */
  459. /* > B(k + 1, k + 1) = B(k, k) */
  460. /* > B(k + 1, k) = [-1...1] */
  461. /* > sign(B(k, k + 1) = -(sign(B(k + 1, k)) */
  462. /* > k = 1, N - 1, QBLCKB */
  463. /* > */
  464. /* > D : if (i <= j) then D(i, j) = [-1...1]. */
  465. /* > else D(i, j) = 0.0, i, j = 1...M */
  466. /* > */
  467. /* > */
  468. /* > E : if (i <= j) then D(i, j) = [-1...1] */
  469. /* > else E(i, j) = 0.0, i, j = 1...N */
  470. /* > */
  471. /* > L, R are chosen from [-10...10], */
  472. /* > which specifies the right hand sides (C, F). */
  473. /* > */
  474. /* > PRTYPE = 4 Full */
  475. /* > A(i, j) = [-10...10] */
  476. /* > D(i, j) = [-1...1] i,j = 1...M */
  477. /* > B(i, j) = [-10...10] */
  478. /* > E(i, j) = [-1...1] i,j = 1...N */
  479. /* > R(i, j) = [-10...10] */
  480. /* > L(i, j) = [-1...1] i = 1..M ,j = 1...N */
  481. /* > */
  482. /* > L, R specifies the right hand sides (C, F). */
  483. /* > */
  484. /* > PRTYPE = 5 special case common and/or close eigs. */
  485. /* > \endverbatim */
  486. /* > */
  487. /* ===================================================================== */
  488. /* Subroutine */ void clatm5_(integer *prtype, integer *m, integer *n, complex
  489. *a, integer *lda, complex *b, integer *ldb, complex *c__, integer *
  490. ldc, complex *d__, integer *ldd, complex *e, integer *lde, complex *f,
  491. integer *ldf, complex *r__, integer *ldr, complex *l, integer *ldl,
  492. real *alpha, integer *qblcka, integer *qblckb)
  493. {
  494. /* System generated locals */
  495. integer a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset, d_dim1,
  496. d_offset, e_dim1, e_offset, f_dim1, f_offset, l_dim1, l_offset,
  497. r_dim1, r_offset, i__1, i__2, i__3, i__4;
  498. doublereal d__1;
  499. complex q__1, q__2, q__3, q__4, q__5;
  500. /* Local variables */
  501. integer i__, j, k;
  502. extern /* Subroutine */ void cgemm_(char *, char *, integer *, integer *,
  503. integer *, complex *, complex *, integer *, complex *, integer *,
  504. complex *, complex *, integer *);
  505. complex imeps, reeps;
  506. /* -- LAPACK computational routine (version 3.7.0) -- */
  507. /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
  508. /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  509. /* June 2016 */
  510. /* ===================================================================== */
  511. /* Parameter adjustments */
  512. a_dim1 = *lda;
  513. a_offset = 1 + a_dim1 * 1;
  514. a -= a_offset;
  515. b_dim1 = *ldb;
  516. b_offset = 1 + b_dim1 * 1;
  517. b -= b_offset;
  518. c_dim1 = *ldc;
  519. c_offset = 1 + c_dim1 * 1;
  520. c__ -= c_offset;
  521. d_dim1 = *ldd;
  522. d_offset = 1 + d_dim1 * 1;
  523. d__ -= d_offset;
  524. e_dim1 = *lde;
  525. e_offset = 1 + e_dim1 * 1;
  526. e -= e_offset;
  527. f_dim1 = *ldf;
  528. f_offset = 1 + f_dim1 * 1;
  529. f -= f_offset;
  530. r_dim1 = *ldr;
  531. r_offset = 1 + r_dim1 * 1;
  532. r__ -= r_offset;
  533. l_dim1 = *ldl;
  534. l_offset = 1 + l_dim1 * 1;
  535. l -= l_offset;
  536. /* Function Body */
  537. if (*prtype == 1) {
  538. i__1 = *m;
  539. for (i__ = 1; i__ <= i__1; ++i__) {
  540. i__2 = *m;
  541. for (j = 1; j <= i__2; ++j) {
  542. if (i__ == j) {
  543. i__3 = i__ + j * a_dim1;
  544. a[i__3].r = 1.f, a[i__3].i = 0.f;
  545. i__3 = i__ + j * d_dim1;
  546. d__[i__3].r = 1.f, d__[i__3].i = 0.f;
  547. } else if (i__ == j - 1) {
  548. i__3 = i__ + j * a_dim1;
  549. q__1.r = -1.f, q__1.i = 0.f;
  550. a[i__3].r = q__1.r, a[i__3].i = q__1.i;
  551. i__3 = i__ + j * d_dim1;
  552. d__[i__3].r = 0.f, d__[i__3].i = 0.f;
  553. } else {
  554. i__3 = i__ + j * a_dim1;
  555. a[i__3].r = 0.f, a[i__3].i = 0.f;
  556. i__3 = i__ + j * d_dim1;
  557. d__[i__3].r = 0.f, d__[i__3].i = 0.f;
  558. }
  559. /* L10: */
  560. }
  561. /* L20: */
  562. }
  563. i__1 = *n;
  564. for (i__ = 1; i__ <= i__1; ++i__) {
  565. i__2 = *n;
  566. for (j = 1; j <= i__2; ++j) {
  567. if (i__ == j) {
  568. i__3 = i__ + j * b_dim1;
  569. q__1.r = 1.f - *alpha, q__1.i = 0.f;
  570. b[i__3].r = q__1.r, b[i__3].i = q__1.i;
  571. i__3 = i__ + j * e_dim1;
  572. e[i__3].r = 1.f, e[i__3].i = 0.f;
  573. } else if (i__ == j - 1) {
  574. i__3 = i__ + j * b_dim1;
  575. b[i__3].r = 1.f, b[i__3].i = 0.f;
  576. i__3 = i__ + j * e_dim1;
  577. e[i__3].r = 0.f, e[i__3].i = 0.f;
  578. } else {
  579. i__3 = i__ + j * b_dim1;
  580. b[i__3].r = 0.f, b[i__3].i = 0.f;
  581. i__3 = i__ + j * e_dim1;
  582. e[i__3].r = 0.f, e[i__3].i = 0.f;
  583. }
  584. /* L30: */
  585. }
  586. /* L40: */
  587. }
  588. i__1 = *m;
  589. for (i__ = 1; i__ <= i__1; ++i__) {
  590. i__2 = *n;
  591. for (j = 1; j <= i__2; ++j) {
  592. i__3 = i__ + j * r_dim1;
  593. i__4 = i__ / j;
  594. q__4.r = (real) i__4, q__4.i = 0.f;
  595. c_sin(&q__3, &q__4);
  596. q__2.r = .5f - q__3.r, q__2.i = 0.f - q__3.i;
  597. q__1.r = q__2.r * 20.f - q__2.i * 0.f, q__1.i = q__2.r * 0.f
  598. + q__2.i * 20.f;
  599. r__[i__3].r = q__1.r, r__[i__3].i = q__1.i;
  600. i__3 = i__ + j * l_dim1;
  601. i__4 = i__ + j * r_dim1;
  602. l[i__3].r = r__[i__4].r, l[i__3].i = r__[i__4].i;
  603. /* L50: */
  604. }
  605. /* L60: */
  606. }
  607. } else if (*prtype == 2 || *prtype == 3) {
  608. i__1 = *m;
  609. for (i__ = 1; i__ <= i__1; ++i__) {
  610. i__2 = *m;
  611. for (j = 1; j <= i__2; ++j) {
  612. if (i__ <= j) {
  613. i__3 = i__ + j * a_dim1;
  614. q__4.r = (real) i__, q__4.i = 0.f;
  615. c_sin(&q__3, &q__4);
  616. q__2.r = .5f - q__3.r, q__2.i = 0.f - q__3.i;
  617. q__1.r = q__2.r * 2.f - q__2.i * 0.f, q__1.i = q__2.r *
  618. 0.f + q__2.i * 2.f;
  619. a[i__3].r = q__1.r, a[i__3].i = q__1.i;
  620. i__3 = i__ + j * d_dim1;
  621. i__4 = i__ * j;
  622. q__4.r = (real) i__4, q__4.i = 0.f;
  623. c_sin(&q__3, &q__4);
  624. q__2.r = .5f - q__3.r, q__2.i = 0.f - q__3.i;
  625. q__1.r = q__2.r * 2.f - q__2.i * 0.f, q__1.i = q__2.r *
  626. 0.f + q__2.i * 2.f;
  627. d__[i__3].r = q__1.r, d__[i__3].i = q__1.i;
  628. } else {
  629. i__3 = i__ + j * a_dim1;
  630. a[i__3].r = 0.f, a[i__3].i = 0.f;
  631. i__3 = i__ + j * d_dim1;
  632. d__[i__3].r = 0.f, d__[i__3].i = 0.f;
  633. }
  634. /* L70: */
  635. }
  636. /* L80: */
  637. }
  638. i__1 = *n;
  639. for (i__ = 1; i__ <= i__1; ++i__) {
  640. i__2 = *n;
  641. for (j = 1; j <= i__2; ++j) {
  642. if (i__ <= j) {
  643. i__3 = i__ + j * b_dim1;
  644. i__4 = i__ + j;
  645. q__4.r = (real) i__4, q__4.i = 0.f;
  646. c_sin(&q__3, &q__4);
  647. q__2.r = .5f - q__3.r, q__2.i = 0.f - q__3.i;
  648. q__1.r = q__2.r * 2.f - q__2.i * 0.f, q__1.i = q__2.r *
  649. 0.f + q__2.i * 2.f;
  650. b[i__3].r = q__1.r, b[i__3].i = q__1.i;
  651. i__3 = i__ + j * e_dim1;
  652. q__4.r = (real) j, q__4.i = 0.f;
  653. c_sin(&q__3, &q__4);
  654. q__2.r = .5f - q__3.r, q__2.i = 0.f - q__3.i;
  655. q__1.r = q__2.r * 2.f - q__2.i * 0.f, q__1.i = q__2.r *
  656. 0.f + q__2.i * 2.f;
  657. e[i__3].r = q__1.r, e[i__3].i = q__1.i;
  658. } else {
  659. i__3 = i__ + j * b_dim1;
  660. b[i__3].r = 0.f, b[i__3].i = 0.f;
  661. i__3 = i__ + j * e_dim1;
  662. e[i__3].r = 0.f, e[i__3].i = 0.f;
  663. }
  664. /* L90: */
  665. }
  666. /* L100: */
  667. }
  668. i__1 = *m;
  669. for (i__ = 1; i__ <= i__1; ++i__) {
  670. i__2 = *n;
  671. for (j = 1; j <= i__2; ++j) {
  672. i__3 = i__ + j * r_dim1;
  673. i__4 = i__ * j;
  674. q__4.r = (real) i__4, q__4.i = 0.f;
  675. c_sin(&q__3, &q__4);
  676. q__2.r = .5f - q__3.r, q__2.i = 0.f - q__3.i;
  677. q__1.r = q__2.r * 20.f - q__2.i * 0.f, q__1.i = q__2.r * 0.f
  678. + q__2.i * 20.f;
  679. r__[i__3].r = q__1.r, r__[i__3].i = q__1.i;
  680. i__3 = i__ + j * l_dim1;
  681. i__4 = i__ + j;
  682. q__4.r = (real) i__4, q__4.i = 0.f;
  683. c_sin(&q__3, &q__4);
  684. q__2.r = .5f - q__3.r, q__2.i = 0.f - q__3.i;
  685. q__1.r = q__2.r * 20.f - q__2.i * 0.f, q__1.i = q__2.r * 0.f
  686. + q__2.i * 20.f;
  687. l[i__3].r = q__1.r, l[i__3].i = q__1.i;
  688. /* L110: */
  689. }
  690. /* L120: */
  691. }
  692. if (*prtype == 3) {
  693. if (*qblcka <= 1) {
  694. *qblcka = 2;
  695. }
  696. i__1 = *m - 1;
  697. i__2 = *qblcka;
  698. for (k = 1; i__2 < 0 ? k >= i__1 : k <= i__1; k += i__2) {
  699. i__3 = k + 1 + (k + 1) * a_dim1;
  700. i__4 = k + k * a_dim1;
  701. a[i__3].r = a[i__4].r, a[i__3].i = a[i__4].i;
  702. i__3 = k + 1 + k * a_dim1;
  703. c_sin(&q__2, &a[k + (k + 1) * a_dim1]);
  704. q__1.r = -q__2.r, q__1.i = -q__2.i;
  705. a[i__3].r = q__1.r, a[i__3].i = q__1.i;
  706. /* L130: */
  707. }
  708. if (*qblckb <= 1) {
  709. *qblckb = 2;
  710. }
  711. i__2 = *n - 1;
  712. i__1 = *qblckb;
  713. for (k = 1; i__1 < 0 ? k >= i__2 : k <= i__2; k += i__1) {
  714. i__3 = k + 1 + (k + 1) * b_dim1;
  715. i__4 = k + k * b_dim1;
  716. b[i__3].r = b[i__4].r, b[i__3].i = b[i__4].i;
  717. i__3 = k + 1 + k * b_dim1;
  718. c_sin(&q__2, &b[k + (k + 1) * b_dim1]);
  719. q__1.r = -q__2.r, q__1.i = -q__2.i;
  720. b[i__3].r = q__1.r, b[i__3].i = q__1.i;
  721. /* L140: */
  722. }
  723. }
  724. } else if (*prtype == 4) {
  725. i__1 = *m;
  726. for (i__ = 1; i__ <= i__1; ++i__) {
  727. i__2 = *m;
  728. for (j = 1; j <= i__2; ++j) {
  729. i__3 = i__ + j * a_dim1;
  730. i__4 = i__ * j;
  731. q__4.r = (real) i__4, q__4.i = 0.f;
  732. c_sin(&q__3, &q__4);
  733. q__2.r = .5f - q__3.r, q__2.i = 0.f - q__3.i;
  734. q__1.r = q__2.r * 20.f - q__2.i * 0.f, q__1.i = q__2.r * 0.f
  735. + q__2.i * 20.f;
  736. a[i__3].r = q__1.r, a[i__3].i = q__1.i;
  737. i__3 = i__ + j * d_dim1;
  738. i__4 = i__ + j;
  739. q__4.r = (real) i__4, q__4.i = 0.f;
  740. c_sin(&q__3, &q__4);
  741. q__2.r = .5f - q__3.r, q__2.i = 0.f - q__3.i;
  742. q__1.r = q__2.r * 2.f - q__2.i * 0.f, q__1.i = q__2.r * 0.f +
  743. q__2.i * 2.f;
  744. d__[i__3].r = q__1.r, d__[i__3].i = q__1.i;
  745. /* L150: */
  746. }
  747. /* L160: */
  748. }
  749. i__1 = *n;
  750. for (i__ = 1; i__ <= i__1; ++i__) {
  751. i__2 = *n;
  752. for (j = 1; j <= i__2; ++j) {
  753. i__3 = i__ + j * b_dim1;
  754. i__4 = i__ + j;
  755. q__4.r = (real) i__4, q__4.i = 0.f;
  756. c_sin(&q__3, &q__4);
  757. q__2.r = .5f - q__3.r, q__2.i = 0.f - q__3.i;
  758. q__1.r = q__2.r * 20.f - q__2.i * 0.f, q__1.i = q__2.r * 0.f
  759. + q__2.i * 20.f;
  760. b[i__3].r = q__1.r, b[i__3].i = q__1.i;
  761. i__3 = i__ + j * e_dim1;
  762. i__4 = i__ * j;
  763. q__4.r = (real) i__4, q__4.i = 0.f;
  764. c_sin(&q__3, &q__4);
  765. q__2.r = .5f - q__3.r, q__2.i = 0.f - q__3.i;
  766. q__1.r = q__2.r * 2.f - q__2.i * 0.f, q__1.i = q__2.r * 0.f +
  767. q__2.i * 2.f;
  768. e[i__3].r = q__1.r, e[i__3].i = q__1.i;
  769. /* L170: */
  770. }
  771. /* L180: */
  772. }
  773. i__1 = *m;
  774. for (i__ = 1; i__ <= i__1; ++i__) {
  775. i__2 = *n;
  776. for (j = 1; j <= i__2; ++j) {
  777. i__3 = i__ + j * r_dim1;
  778. i__4 = j / i__;
  779. q__4.r = (real) i__4, q__4.i = 0.f;
  780. c_sin(&q__3, &q__4);
  781. q__2.r = .5f - q__3.r, q__2.i = 0.f - q__3.i;
  782. q__1.r = q__2.r * 20.f - q__2.i * 0.f, q__1.i = q__2.r * 0.f
  783. + q__2.i * 20.f;
  784. r__[i__3].r = q__1.r, r__[i__3].i = q__1.i;
  785. i__3 = i__ + j * l_dim1;
  786. i__4 = i__ * j;
  787. q__4.r = (real) i__4, q__4.i = 0.f;
  788. c_sin(&q__3, &q__4);
  789. q__2.r = .5f - q__3.r, q__2.i = 0.f - q__3.i;
  790. q__1.r = q__2.r * 2.f - q__2.i * 0.f, q__1.i = q__2.r * 0.f +
  791. q__2.i * 2.f;
  792. l[i__3].r = q__1.r, l[i__3].i = q__1.i;
  793. /* L190: */
  794. }
  795. /* L200: */
  796. }
  797. } else if (*prtype >= 5) {
  798. q__3.r = 1.f, q__3.i = 0.f;
  799. q__2.r = q__3.r * 20.f - q__3.i * 0.f, q__2.i = q__3.r * 0.f + q__3.i
  800. * 20.f;
  801. q__1.r = q__2.r / *alpha, q__1.i = q__2.i / *alpha;
  802. reeps.r = q__1.r, reeps.i = q__1.i;
  803. q__2.r = -1.5f, q__2.i = 0.f;
  804. q__1.r = q__2.r / *alpha, q__1.i = q__2.i / *alpha;
  805. imeps.r = q__1.r, imeps.i = q__1.i;
  806. i__1 = *m;
  807. for (i__ = 1; i__ <= i__1; ++i__) {
  808. i__2 = *n;
  809. for (j = 1; j <= i__2; ++j) {
  810. i__3 = i__ + j * r_dim1;
  811. i__4 = i__ * j;
  812. q__5.r = (real) i__4, q__5.i = 0.f;
  813. c_sin(&q__4, &q__5);
  814. q__3.r = .5f - q__4.r, q__3.i = 0.f - q__4.i;
  815. q__2.r = *alpha * q__3.r, q__2.i = *alpha * q__3.i;
  816. c_div(&q__1, &q__2, &c_b5);
  817. r__[i__3].r = q__1.r, r__[i__3].i = q__1.i;
  818. i__3 = i__ + j * l_dim1;
  819. i__4 = i__ + j;
  820. q__5.r = (real) i__4, q__5.i = 0.f;
  821. c_sin(&q__4, &q__5);
  822. q__3.r = .5f - q__4.r, q__3.i = 0.f - q__4.i;
  823. q__2.r = *alpha * q__3.r, q__2.i = *alpha * q__3.i;
  824. c_div(&q__1, &q__2, &c_b5);
  825. l[i__3].r = q__1.r, l[i__3].i = q__1.i;
  826. /* L210: */
  827. }
  828. /* L220: */
  829. }
  830. i__1 = *m;
  831. for (i__ = 1; i__ <= i__1; ++i__) {
  832. i__2 = i__ + i__ * d_dim1;
  833. d__[i__2].r = 1.f, d__[i__2].i = 0.f;
  834. /* L230: */
  835. }
  836. i__1 = *m;
  837. for (i__ = 1; i__ <= i__1; ++i__) {
  838. if (i__ <= 4) {
  839. i__2 = i__ + i__ * a_dim1;
  840. a[i__2].r = 1.f, a[i__2].i = 0.f;
  841. if (i__ > 2) {
  842. i__2 = i__ + i__ * a_dim1;
  843. q__1.r = reeps.r + 1.f, q__1.i = reeps.i + 0.f;
  844. a[i__2].r = q__1.r, a[i__2].i = q__1.i;
  845. }
  846. if (i__ % 2 != 0 && i__ < *m) {
  847. i__2 = i__ + (i__ + 1) * a_dim1;
  848. a[i__2].r = imeps.r, a[i__2].i = imeps.i;
  849. } else if (i__ > 1) {
  850. i__2 = i__ + (i__ - 1) * a_dim1;
  851. q__1.r = -imeps.r, q__1.i = -imeps.i;
  852. a[i__2].r = q__1.r, a[i__2].i = q__1.i;
  853. }
  854. } else if (i__ <= 8) {
  855. if (i__ <= 6) {
  856. i__2 = i__ + i__ * a_dim1;
  857. a[i__2].r = reeps.r, a[i__2].i = reeps.i;
  858. } else {
  859. i__2 = i__ + i__ * a_dim1;
  860. q__1.r = -reeps.r, q__1.i = -reeps.i;
  861. a[i__2].r = q__1.r, a[i__2].i = q__1.i;
  862. }
  863. if (i__ % 2 != 0 && i__ < *m) {
  864. i__2 = i__ + (i__ + 1) * a_dim1;
  865. a[i__2].r = 1.f, a[i__2].i = 0.f;
  866. } else if (i__ > 1) {
  867. i__2 = i__ + (i__ - 1) * a_dim1;
  868. q__1.r = -1.f, q__1.i = 0.f;
  869. a[i__2].r = q__1.r, a[i__2].i = q__1.i;
  870. }
  871. } else {
  872. i__2 = i__ + i__ * a_dim1;
  873. a[i__2].r = 1.f, a[i__2].i = 0.f;
  874. if (i__ % 2 != 0 && i__ < *m) {
  875. i__2 = i__ + (i__ + 1) * a_dim1;
  876. d__1 = 2.;
  877. q__1.r = d__1 * imeps.r, q__1.i = d__1 * imeps.i;
  878. a[i__2].r = q__1.r, a[i__2].i = q__1.i;
  879. } else if (i__ > 1) {
  880. i__2 = i__ + (i__ - 1) * a_dim1;
  881. q__2.r = -imeps.r, q__2.i = -imeps.i;
  882. d__1 = 2.;
  883. q__1.r = d__1 * q__2.r, q__1.i = d__1 * q__2.i;
  884. a[i__2].r = q__1.r, a[i__2].i = q__1.i;
  885. }
  886. }
  887. /* L240: */
  888. }
  889. i__1 = *n;
  890. for (i__ = 1; i__ <= i__1; ++i__) {
  891. i__2 = i__ + i__ * e_dim1;
  892. e[i__2].r = 1.f, e[i__2].i = 0.f;
  893. if (i__ <= 4) {
  894. i__2 = i__ + i__ * b_dim1;
  895. q__1.r = -1.f, q__1.i = 0.f;
  896. b[i__2].r = q__1.r, b[i__2].i = q__1.i;
  897. if (i__ > 2) {
  898. i__2 = i__ + i__ * b_dim1;
  899. q__1.r = 1.f - reeps.r, q__1.i = 0.f - reeps.i;
  900. b[i__2].r = q__1.r, b[i__2].i = q__1.i;
  901. }
  902. if (i__ % 2 != 0 && i__ < *n) {
  903. i__2 = i__ + (i__ + 1) * b_dim1;
  904. b[i__2].r = imeps.r, b[i__2].i = imeps.i;
  905. } else if (i__ > 1) {
  906. i__2 = i__ + (i__ - 1) * b_dim1;
  907. q__1.r = -imeps.r, q__1.i = -imeps.i;
  908. b[i__2].r = q__1.r, b[i__2].i = q__1.i;
  909. }
  910. } else if (i__ <= 8) {
  911. if (i__ <= 6) {
  912. i__2 = i__ + i__ * b_dim1;
  913. b[i__2].r = reeps.r, b[i__2].i = reeps.i;
  914. } else {
  915. i__2 = i__ + i__ * b_dim1;
  916. q__1.r = -reeps.r, q__1.i = -reeps.i;
  917. b[i__2].r = q__1.r, b[i__2].i = q__1.i;
  918. }
  919. if (i__ % 2 != 0 && i__ < *n) {
  920. i__2 = i__ + (i__ + 1) * b_dim1;
  921. q__1.r = imeps.r + 1.f, q__1.i = imeps.i + 0.f;
  922. b[i__2].r = q__1.r, b[i__2].i = q__1.i;
  923. } else if (i__ > 1) {
  924. i__2 = i__ + (i__ - 1) * b_dim1;
  925. q__2.r = -1.f, q__2.i = 0.f;
  926. q__1.r = q__2.r - imeps.r, q__1.i = q__2.i - imeps.i;
  927. b[i__2].r = q__1.r, b[i__2].i = q__1.i;
  928. }
  929. } else {
  930. i__2 = i__ + i__ * b_dim1;
  931. q__1.r = 1.f - reeps.r, q__1.i = 0.f - reeps.i;
  932. b[i__2].r = q__1.r, b[i__2].i = q__1.i;
  933. if (i__ % 2 != 0 && i__ < *n) {
  934. i__2 = i__ + (i__ + 1) * b_dim1;
  935. d__1 = 2.;
  936. q__1.r = d__1 * imeps.r, q__1.i = d__1 * imeps.i;
  937. b[i__2].r = q__1.r, b[i__2].i = q__1.i;
  938. } else if (i__ > 1) {
  939. i__2 = i__ + (i__ - 1) * b_dim1;
  940. q__2.r = -imeps.r, q__2.i = -imeps.i;
  941. d__1 = 2.;
  942. q__1.r = d__1 * q__2.r, q__1.i = d__1 * q__2.i;
  943. b[i__2].r = q__1.r, b[i__2].i = q__1.i;
  944. }
  945. }
  946. /* L250: */
  947. }
  948. }
  949. /* Compute rhs (C, F) */
  950. cgemm_("N", "N", m, n, m, &c_b1, &a[a_offset], lda, &r__[r_offset], ldr, &
  951. c_b3, &c__[c_offset], ldc);
  952. q__1.r = -1.f, q__1.i = 0.f;
  953. cgemm_("N", "N", m, n, n, &q__1, &l[l_offset], ldl, &b[b_offset], ldb, &
  954. c_b1, &c__[c_offset], ldc);
  955. cgemm_("N", "N", m, n, m, &c_b1, &d__[d_offset], ldd, &r__[r_offset], ldr,
  956. &c_b3, &f[f_offset], ldf);
  957. q__1.r = -1.f, q__1.i = 0.f;
  958. cgemm_("N", "N", m, n, n, &q__1, &l[l_offset], ldl, &e[e_offset], lde, &
  959. c_b1, &f[f_offset], ldf);
  960. /* End of CLATM5 */
  961. return;
  962. } /* clatm5_ */