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dsyconvf.c 26 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 DSYCONVF */
  362. /* =========== DOCUMENTATION =========== */
  363. /* Online html documentation available at */
  364. /* http://www.netlib.org/lapack/explore-html/ */
  365. /* > \htmlonly */
  366. /* > Download DSYCONVF + dependencies */
  367. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsyconv
  368. f.f"> */
  369. /* > [TGZ]</a> */
  370. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsyconv
  371. f.f"> */
  372. /* > [ZIP]</a> */
  373. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsyconv
  374. f.f"> */
  375. /* > [TXT]</a> */
  376. /* > \endhtmlonly */
  377. /* Definition: */
  378. /* =========== */
  379. /* SUBROUTINE DSYCONVF( UPLO, WAY, N, A, LDA, E, IPIV, INFO ) */
  380. /* CHARACTER UPLO, WAY */
  381. /* INTEGER INFO, LDA, N */
  382. /* INTEGER IPIV( * ) */
  383. /* DOUBLE PRECISION A( LDA, * ), E( * ) */
  384. /* > \par Purpose: */
  385. /* ============= */
  386. /* > */
  387. /* > \verbatim */
  388. /* > If parameter WAY = 'C': */
  389. /* > DSYCONVF converts the factorization output format used in */
  390. /* > DSYTRF provided on entry in parameter A into the factorization */
  391. /* > output format used in DSYTRF_RK (or DSYTRF_BK) that is stored */
  392. /* > on exit in parameters A and E. It also coverts in place details of */
  393. /* > the intechanges stored in IPIV from the format used in DSYTRF into */
  394. /* > the format used in DSYTRF_RK (or DSYTRF_BK). */
  395. /* > */
  396. /* > If parameter WAY = 'R': */
  397. /* > DSYCONVF performs the conversion in reverse direction, i.e. */
  398. /* > converts the factorization output format used in DSYTRF_RK */
  399. /* > (or DSYTRF_BK) provided on entry in parameters A and E into */
  400. /* > the factorization output format used in DSYTRF that is stored */
  401. /* > on exit in parameter A. It also coverts in place details of */
  402. /* > the intechanges stored in IPIV from the format used in DSYTRF_RK */
  403. /* > (or DSYTRF_BK) into the format used in DSYTRF. */
  404. /* > \endverbatim */
  405. /* Arguments: */
  406. /* ========== */
  407. /* > \param[in] UPLO */
  408. /* > \verbatim */
  409. /* > UPLO is CHARACTER*1 */
  410. /* > Specifies whether the details of the factorization are */
  411. /* > stored as an upper or lower triangular matrix A. */
  412. /* > = 'U': Upper triangular */
  413. /* > = 'L': Lower triangular */
  414. /* > \endverbatim */
  415. /* > */
  416. /* > \param[in] WAY */
  417. /* > \verbatim */
  418. /* > WAY is CHARACTER*1 */
  419. /* > = 'C': Convert */
  420. /* > = 'R': Revert */
  421. /* > \endverbatim */
  422. /* > */
  423. /* > \param[in] N */
  424. /* > \verbatim */
  425. /* > N is INTEGER */
  426. /* > The order of the matrix A. N >= 0. */
  427. /* > \endverbatim */
  428. /* > */
  429. /* > \param[in,out] A */
  430. /* > \verbatim */
  431. /* > A is DOUBLE PRECISION array, dimension (LDA,N) */
  432. /* > */
  433. /* > 1) If WAY ='C': */
  434. /* > */
  435. /* > On entry, contains factorization details in format used in */
  436. /* > DSYTRF: */
  437. /* > a) all elements of the symmetric block diagonal */
  438. /* > matrix D on the diagonal of A and on superdiagonal */
  439. /* > (or subdiagonal) of A, and */
  440. /* > b) If UPLO = 'U': multipliers used to obtain factor U */
  441. /* > in the superdiagonal part of A. */
  442. /* > If UPLO = 'L': multipliers used to obtain factor L */
  443. /* > in the superdiagonal part of A. */
  444. /* > */
  445. /* > On exit, contains factorization details in format used in */
  446. /* > DSYTRF_RK or DSYTRF_BK: */
  447. /* > a) ONLY diagonal elements of the symmetric block diagonal */
  448. /* > matrix D on the diagonal of A, i.e. D(k,k) = A(k,k); */
  449. /* > (superdiagonal (or subdiagonal) elements of D */
  450. /* > are stored on exit in array E), and */
  451. /* > b) If UPLO = 'U': factor U in the superdiagonal part of A. */
  452. /* > If UPLO = 'L': factor L in the subdiagonal part of A. */
  453. /* > */
  454. /* > 2) If WAY = 'R': */
  455. /* > */
  456. /* > On entry, contains factorization details in format used in */
  457. /* > DSYTRF_RK or DSYTRF_BK: */
  458. /* > a) ONLY diagonal elements of the symmetric block diagonal */
  459. /* > matrix D on the diagonal of A, i.e. D(k,k) = A(k,k); */
  460. /* > (superdiagonal (or subdiagonal) elements of D */
  461. /* > are stored on exit in array E), and */
  462. /* > b) If UPLO = 'U': factor U in the superdiagonal part of A. */
  463. /* > If UPLO = 'L': factor L in the subdiagonal part of A. */
  464. /* > */
  465. /* > On exit, contains factorization details in format used in */
  466. /* > DSYTRF: */
  467. /* > a) all elements of the symmetric block diagonal */
  468. /* > matrix D on the diagonal of A and on superdiagonal */
  469. /* > (or subdiagonal) of A, and */
  470. /* > b) If UPLO = 'U': multipliers used to obtain factor U */
  471. /* > in the superdiagonal part of A. */
  472. /* > If UPLO = 'L': multipliers used to obtain factor L */
  473. /* > in the superdiagonal part of A. */
  474. /* > \endverbatim */
  475. /* > */
  476. /* > \param[in] LDA */
  477. /* > \verbatim */
  478. /* > LDA is INTEGER */
  479. /* > The leading dimension of the array A. LDA >= f2cmax(1,N). */
  480. /* > \endverbatim */
  481. /* > */
  482. /* > \param[in,out] E */
  483. /* > \verbatim */
  484. /* > E is DOUBLE PRECISION array, dimension (N) */
  485. /* > */
  486. /* > 1) If WAY ='C': */
  487. /* > */
  488. /* > On entry, just a workspace. */
  489. /* > */
  490. /* > On exit, contains the superdiagonal (or subdiagonal) */
  491. /* > elements of the symmetric block diagonal matrix D */
  492. /* > with 1-by-1 or 2-by-2 diagonal blocks, where */
  493. /* > If UPLO = 'U': E(i) = D(i-1,i), i=2:N, E(1) is set to 0; */
  494. /* > If UPLO = 'L': E(i) = D(i+1,i), i=1:N-1, E(N) is set to 0. */
  495. /* > */
  496. /* > 2) If WAY = 'R': */
  497. /* > */
  498. /* > On entry, contains the superdiagonal (or subdiagonal) */
  499. /* > elements of the symmetric block diagonal matrix D */
  500. /* > with 1-by-1 or 2-by-2 diagonal blocks, where */
  501. /* > If UPLO = 'U': E(i) = D(i-1,i),i=2:N, E(1) not referenced; */
  502. /* > If UPLO = 'L': E(i) = D(i+1,i),i=1:N-1, E(N) not referenced. */
  503. /* > */
  504. /* > On exit, is not changed */
  505. /* > \endverbatim */
  506. /* . */
  507. /* > \param[in,out] IPIV */
  508. /* > \verbatim */
  509. /* > IPIV is INTEGER array, dimension (N) */
  510. /* > */
  511. /* > 1) If WAY ='C': */
  512. /* > On entry, details of the interchanges and the block */
  513. /* > structure of D in the format used in DSYTRF. */
  514. /* > On exit, details of the interchanges and the block */
  515. /* > structure of D in the format used in DSYTRF_RK */
  516. /* > ( or DSYTRF_BK). */
  517. /* > */
  518. /* > 1) If WAY ='R': */
  519. /* > On entry, details of the interchanges and the block */
  520. /* > structure of D in the format used in DSYTRF_RK */
  521. /* > ( or DSYTRF_BK). */
  522. /* > On exit, details of the interchanges and the block */
  523. /* > structure of D in the format used in DSYTRF. */
  524. /* > \endverbatim */
  525. /* > */
  526. /* > \param[out] INFO */
  527. /* > \verbatim */
  528. /* > INFO is INTEGER */
  529. /* > = 0: successful exit */
  530. /* > < 0: if INFO = -i, the i-th argument had an illegal value */
  531. /* > \endverbatim */
  532. /* Authors: */
  533. /* ======== */
  534. /* > \author Univ. of Tennessee */
  535. /* > \author Univ. of California Berkeley */
  536. /* > \author Univ. of Colorado Denver */
  537. /* > \author NAG Ltd. */
  538. /* > \date November 2017 */
  539. /* > \ingroup doubleSYcomputational */
  540. /* > \par Contributors: */
  541. /* ================== */
  542. /* > */
  543. /* > \verbatim */
  544. /* > */
  545. /* > November 2017, Igor Kozachenko, */
  546. /* > Computer Science Division, */
  547. /* > University of California, Berkeley */
  548. /* > */
  549. /* > \endverbatim */
  550. /* ===================================================================== */
  551. /* Subroutine */ int dsyconvf_(char *uplo, char *way, integer *n, doublereal *
  552. a, integer *lda, doublereal *e, integer *ipiv, integer *info)
  553. {
  554. /* System generated locals */
  555. integer a_dim1, a_offset, i__1;
  556. /* Local variables */
  557. integer i__;
  558. extern logical lsame_(char *, char *);
  559. extern /* Subroutine */ int dswap_(integer *, doublereal *, integer *,
  560. doublereal *, integer *);
  561. logical upper;
  562. integer ip;
  563. extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
  564. logical convert;
  565. /* -- LAPACK computational routine (version 3.8.0) -- */
  566. /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
  567. /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  568. /* November 2017 */
  569. /* ===================================================================== */
  570. /* Parameter adjustments */
  571. a_dim1 = *lda;
  572. a_offset = 1 + a_dim1 * 1;
  573. a -= a_offset;
  574. --e;
  575. --ipiv;
  576. /* Function Body */
  577. *info = 0;
  578. upper = lsame_(uplo, "U");
  579. convert = lsame_(way, "C");
  580. if (! upper && ! lsame_(uplo, "L")) {
  581. *info = -1;
  582. } else if (! convert && ! lsame_(way, "R")) {
  583. *info = -2;
  584. } else if (*n < 0) {
  585. *info = -3;
  586. } else if (*lda < f2cmax(1,*n)) {
  587. *info = -5;
  588. }
  589. if (*info != 0) {
  590. i__1 = -(*info);
  591. xerbla_("DSYCONVF", &i__1, (ftnlen)8);
  592. return 0;
  593. }
  594. /* Quick return if possible */
  595. if (*n == 0) {
  596. return 0;
  597. }
  598. if (upper) {
  599. /* Begin A is UPPER */
  600. if (convert) {
  601. /* Convert A (A is upper) */
  602. /* Convert VALUE */
  603. /* Assign superdiagonal entries of D to array E and zero out */
  604. /* corresponding entries in input storage A */
  605. i__ = *n;
  606. e[1] = 0.;
  607. while(i__ > 1) {
  608. if (ipiv[i__] < 0) {
  609. e[i__] = a[i__ - 1 + i__ * a_dim1];
  610. e[i__ - 1] = 0.;
  611. a[i__ - 1 + i__ * a_dim1] = 0.;
  612. --i__;
  613. } else {
  614. e[i__] = 0.;
  615. }
  616. --i__;
  617. }
  618. /* Convert PERMUTATIONS and IPIV */
  619. /* Apply permutations to submatrices of upper part of A */
  620. /* in factorization order where i decreases from N to 1 */
  621. i__ = *n;
  622. while(i__ >= 1) {
  623. if (ipiv[i__] > 0) {
  624. /* 1-by-1 pivot interchange */
  625. /* Swap rows i and IPIV(i) in A(1:i,N-i:N) */
  626. ip = ipiv[i__];
  627. if (i__ < *n) {
  628. if (ip != i__) {
  629. i__1 = *n - i__;
  630. dswap_(&i__1, &a[i__ + (i__ + 1) * a_dim1], lda, &
  631. a[ip + (i__ + 1) * a_dim1], lda);
  632. }
  633. }
  634. } else {
  635. /* 2-by-2 pivot interchange */
  636. /* Swap rows i-1 and IPIV(i) in A(1:i,N-i:N) */
  637. ip = -ipiv[i__];
  638. if (i__ < *n) {
  639. if (ip != i__ - 1) {
  640. i__1 = *n - i__;
  641. dswap_(&i__1, &a[i__ - 1 + (i__ + 1) * a_dim1],
  642. lda, &a[ip + (i__ + 1) * a_dim1], lda);
  643. }
  644. }
  645. /* Convert IPIV */
  646. /* There is no interchnge of rows i and and IPIV(i), */
  647. /* so this should be reflected in IPIV format for */
  648. /* *SYTRF_RK ( or *SYTRF_BK) */
  649. ipiv[i__] = i__;
  650. --i__;
  651. }
  652. --i__;
  653. }
  654. } else {
  655. /* Revert A (A is upper) */
  656. /* Revert PERMUTATIONS and IPIV */
  657. /* Apply permutations to submatrices of upper part of A */
  658. /* in reverse factorization order where i increases from 1 to N */
  659. i__ = 1;
  660. while(i__ <= *n) {
  661. if (ipiv[i__] > 0) {
  662. /* 1-by-1 pivot interchange */
  663. /* Swap rows i and IPIV(i) in A(1:i,N-i:N) */
  664. ip = ipiv[i__];
  665. if (i__ < *n) {
  666. if (ip != i__) {
  667. i__1 = *n - i__;
  668. dswap_(&i__1, &a[ip + (i__ + 1) * a_dim1], lda, &
  669. a[i__ + (i__ + 1) * a_dim1], lda);
  670. }
  671. }
  672. } else {
  673. /* 2-by-2 pivot interchange */
  674. /* Swap rows i-1 and IPIV(i) in A(1:i,N-i:N) */
  675. ++i__;
  676. ip = -ipiv[i__];
  677. if (i__ < *n) {
  678. if (ip != i__ - 1) {
  679. i__1 = *n - i__;
  680. dswap_(&i__1, &a[ip + (i__ + 1) * a_dim1], lda, &
  681. a[i__ - 1 + (i__ + 1) * a_dim1], lda);
  682. }
  683. }
  684. /* Convert IPIV */
  685. /* There is one interchange of rows i-1 and IPIV(i-1), */
  686. /* so this should be recorded in two consecutive entries */
  687. /* in IPIV format for *SYTRF */
  688. ipiv[i__] = ipiv[i__ - 1];
  689. }
  690. ++i__;
  691. }
  692. /* Revert VALUE */
  693. /* Assign superdiagonal entries of D from array E to */
  694. /* superdiagonal entries of A. */
  695. i__ = *n;
  696. while(i__ > 1) {
  697. if (ipiv[i__] < 0) {
  698. a[i__ - 1 + i__ * a_dim1] = e[i__];
  699. --i__;
  700. }
  701. --i__;
  702. }
  703. /* End A is UPPER */
  704. }
  705. } else {
  706. /* Begin A is LOWER */
  707. if (convert) {
  708. /* Convert A (A is lower) */
  709. /* Convert VALUE */
  710. /* Assign subdiagonal entries of D to array E and zero out */
  711. /* corresponding entries in input storage A */
  712. i__ = 1;
  713. e[*n] = 0.;
  714. while(i__ <= *n) {
  715. if (i__ < *n && ipiv[i__] < 0) {
  716. e[i__] = a[i__ + 1 + i__ * a_dim1];
  717. e[i__ + 1] = 0.;
  718. a[i__ + 1 + i__ * a_dim1] = 0.;
  719. ++i__;
  720. } else {
  721. e[i__] = 0.;
  722. }
  723. ++i__;
  724. }
  725. /* Convert PERMUTATIONS and IPIV */
  726. /* Apply permutations to submatrices of lower part of A */
  727. /* in factorization order where k increases from 1 to N */
  728. i__ = 1;
  729. while(i__ <= *n) {
  730. if (ipiv[i__] > 0) {
  731. /* 1-by-1 pivot interchange */
  732. /* Swap rows i and IPIV(i) in A(i:N,1:i-1) */
  733. ip = ipiv[i__];
  734. if (i__ > 1) {
  735. if (ip != i__) {
  736. i__1 = i__ - 1;
  737. dswap_(&i__1, &a[i__ + a_dim1], lda, &a[ip +
  738. a_dim1], lda);
  739. }
  740. }
  741. } else {
  742. /* 2-by-2 pivot interchange */
  743. /* Swap rows i+1 and IPIV(i) in A(i:N,1:i-1) */
  744. ip = -ipiv[i__];
  745. if (i__ > 1) {
  746. if (ip != i__ + 1) {
  747. i__1 = i__ - 1;
  748. dswap_(&i__1, &a[i__ + 1 + a_dim1], lda, &a[ip +
  749. a_dim1], lda);
  750. }
  751. }
  752. /* Convert IPIV */
  753. /* There is no interchnge of rows i and and IPIV(i), */
  754. /* so this should be reflected in IPIV format for */
  755. /* *SYTRF_RK ( or *SYTRF_BK) */
  756. ipiv[i__] = i__;
  757. ++i__;
  758. }
  759. ++i__;
  760. }
  761. } else {
  762. /* Revert A (A is lower) */
  763. /* Revert PERMUTATIONS and IPIV */
  764. /* Apply permutations to submatrices of lower part of A */
  765. /* in reverse factorization order where i decreases from N to 1 */
  766. i__ = *n;
  767. while(i__ >= 1) {
  768. if (ipiv[i__] > 0) {
  769. /* 1-by-1 pivot interchange */
  770. /* Swap rows i and IPIV(i) in A(i:N,1:i-1) */
  771. ip = ipiv[i__];
  772. if (i__ > 1) {
  773. if (ip != i__) {
  774. i__1 = i__ - 1;
  775. dswap_(&i__1, &a[ip + a_dim1], lda, &a[i__ +
  776. a_dim1], lda);
  777. }
  778. }
  779. } else {
  780. /* 2-by-2 pivot interchange */
  781. /* Swap rows i+1 and IPIV(i) in A(i:N,1:i-1) */
  782. --i__;
  783. ip = -ipiv[i__];
  784. if (i__ > 1) {
  785. if (ip != i__ + 1) {
  786. i__1 = i__ - 1;
  787. dswap_(&i__1, &a[ip + a_dim1], lda, &a[i__ + 1 +
  788. a_dim1], lda);
  789. }
  790. }
  791. /* Convert IPIV */
  792. /* There is one interchange of rows i+1 and IPIV(i+1), */
  793. /* so this should be recorded in consecutive entries */
  794. /* in IPIV format for *SYTRF */
  795. ipiv[i__] = ipiv[i__ + 1];
  796. }
  797. --i__;
  798. }
  799. /* Revert VALUE */
  800. /* Assign subdiagonal entries of D from array E to */
  801. /* subgiagonal entries of A. */
  802. i__ = 1;
  803. while(i__ <= *n - 1) {
  804. if (ipiv[i__] < 0) {
  805. a[i__ + 1 + i__ * a_dim1] = e[i__];
  806. ++i__;
  807. }
  808. ++i__;
  809. }
  810. }
  811. /* End A is LOWER */
  812. }
  813. return 0;
  814. /* End of DSYCONVF */
  815. } /* dsyconvf_ */