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dtrtri.c 19 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. #if defined(_WIN64)
  18. typedef long long BLASLONG;
  19. typedef unsigned long long BLASULONG;
  20. #else
  21. typedef long BLASLONG;
  22. typedef unsigned long BLASULONG;
  23. #endif
  24. #ifdef LAPACK_ILP64
  25. typedef BLASLONG blasint;
  26. #if defined(_WIN64)
  27. #define blasabs(x) llabs(x)
  28. #else
  29. #define blasabs(x) labs(x)
  30. #endif
  31. #else
  32. typedef int blasint;
  33. #define blasabs(x) abs(x)
  34. #endif
  35. typedef blasint integer;
  36. typedef unsigned int uinteger;
  37. typedef char *address;
  38. typedef short int shortint;
  39. typedef float real;
  40. typedef double doublereal;
  41. typedef struct { real r, i; } complex;
  42. typedef struct { doublereal r, i; } doublecomplex;
  43. static inline _Complex float Cf(complex *z) {return z->r + z->i*_Complex_I;}
  44. static inline _Complex double Cd(doublecomplex *z) {return z->r + z->i*_Complex_I;}
  45. static inline _Complex float * _pCf(complex *z) {return (_Complex float*)z;}
  46. static inline _Complex double * _pCd(doublecomplex *z) {return (_Complex double*)z;}
  47. #define pCf(z) (*_pCf(z))
  48. #define pCd(z) (*_pCd(z))
  49. typedef int logical;
  50. typedef short int shortlogical;
  51. typedef char logical1;
  52. typedef char integer1;
  53. #define TRUE_ (1)
  54. #define FALSE_ (0)
  55. /* Extern is for use with -E */
  56. #ifndef Extern
  57. #define Extern extern
  58. #endif
  59. /* I/O stuff */
  60. typedef int flag;
  61. typedef int ftnlen;
  62. typedef int ftnint;
  63. /*external read, write*/
  64. typedef struct
  65. { flag cierr;
  66. ftnint ciunit;
  67. flag ciend;
  68. char *cifmt;
  69. ftnint cirec;
  70. } cilist;
  71. /*internal read, write*/
  72. typedef struct
  73. { flag icierr;
  74. char *iciunit;
  75. flag iciend;
  76. char *icifmt;
  77. ftnint icirlen;
  78. ftnint icirnum;
  79. } icilist;
  80. /*open*/
  81. typedef struct
  82. { flag oerr;
  83. ftnint ounit;
  84. char *ofnm;
  85. ftnlen ofnmlen;
  86. char *osta;
  87. char *oacc;
  88. char *ofm;
  89. ftnint orl;
  90. char *oblnk;
  91. } olist;
  92. /*close*/
  93. typedef struct
  94. { flag cerr;
  95. ftnint cunit;
  96. char *csta;
  97. } cllist;
  98. /*rewind, backspace, endfile*/
  99. typedef struct
  100. { flag aerr;
  101. ftnint aunit;
  102. } alist;
  103. /* inquire */
  104. typedef struct
  105. { flag inerr;
  106. ftnint inunit;
  107. char *infile;
  108. ftnlen infilen;
  109. ftnint *inex; /*parameters in standard's order*/
  110. ftnint *inopen;
  111. ftnint *innum;
  112. ftnint *innamed;
  113. char *inname;
  114. ftnlen innamlen;
  115. char *inacc;
  116. ftnlen inacclen;
  117. char *inseq;
  118. ftnlen inseqlen;
  119. char *indir;
  120. ftnlen indirlen;
  121. char *infmt;
  122. ftnlen infmtlen;
  123. char *inform;
  124. ftnint informlen;
  125. char *inunf;
  126. ftnlen inunflen;
  127. ftnint *inrecl;
  128. ftnint *innrec;
  129. char *inblank;
  130. ftnlen inblanklen;
  131. } inlist;
  132. #define VOID void
  133. union Multitype { /* for multiple entry points */
  134. integer1 g;
  135. shortint h;
  136. integer i;
  137. /* longint j; */
  138. real r;
  139. doublereal d;
  140. complex c;
  141. doublecomplex z;
  142. };
  143. typedef union Multitype Multitype;
  144. struct Vardesc { /* for Namelist */
  145. char *name;
  146. char *addr;
  147. ftnlen *dims;
  148. int type;
  149. };
  150. typedef struct Vardesc Vardesc;
  151. struct Namelist {
  152. char *name;
  153. Vardesc **vars;
  154. int nvars;
  155. };
  156. typedef struct Namelist Namelist;
  157. #define abs(x) ((x) >= 0 ? (x) : -(x))
  158. #define dabs(x) (fabs(x))
  159. #define f2cmin(a,b) ((a) <= (b) ? (a) : (b))
  160. #define f2cmax(a,b) ((a) >= (b) ? (a) : (b))
  161. #define dmin(a,b) (f2cmin(a,b))
  162. #define dmax(a,b) (f2cmax(a,b))
  163. #define bit_test(a,b) ((a) >> (b) & 1)
  164. #define bit_clear(a,b) ((a) & ~((uinteger)1 << (b)))
  165. #define bit_set(a,b) ((a) | ((uinteger)1 << (b)))
  166. #define abort_() { sig_die("Fortran abort routine called", 1); }
  167. #define c_abs(z) (cabsf(Cf(z)))
  168. #define c_cos(R,Z) { pCf(R)=ccos(Cf(Z)); }
  169. #define c_div(c, a, b) {pCf(c) = Cf(a)/Cf(b);}
  170. #define z_div(c, a, b) {pCd(c) = Cd(a)/Cd(b);}
  171. #define c_exp(R, Z) {pCf(R) = cexpf(Cf(Z));}
  172. #define c_log(R, Z) {pCf(R) = clogf(Cf(Z));}
  173. #define c_sin(R, Z) {pCf(R) = csinf(Cf(Z));}
  174. //#define c_sqrt(R, Z) {*(R) = csqrtf(Cf(Z));}
  175. #define c_sqrt(R, Z) {pCf(R) = csqrtf(Cf(Z));}
  176. #define d_abs(x) (fabs(*(x)))
  177. #define d_acos(x) (acos(*(x)))
  178. #define d_asin(x) (asin(*(x)))
  179. #define d_atan(x) (atan(*(x)))
  180. #define d_atn2(x, y) (atan2(*(x),*(y)))
  181. #define d_cnjg(R, Z) { pCd(R) = conj(Cd(Z)); }
  182. #define r_cnjg(R, Z) { pCf(R) = conj(Cf(Z)); }
  183. #define d_cos(x) (cos(*(x)))
  184. #define d_cosh(x) (cosh(*(x)))
  185. #define d_dim(__a, __b) ( *(__a) > *(__b) ? *(__a) - *(__b) : 0.0 )
  186. #define d_exp(x) (exp(*(x)))
  187. #define d_imag(z) (cimag(Cd(z)))
  188. #define r_imag(z) (cimag(Cf(z)))
  189. #define d_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  190. #define r_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  191. #define d_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  192. #define r_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  193. #define d_log(x) (log(*(x)))
  194. #define d_mod(x, y) (fmod(*(x), *(y)))
  195. #define u_nint(__x) ((__x)>=0 ? floor((__x) + .5) : -floor(.5 - (__x)))
  196. #define d_nint(x) u_nint(*(x))
  197. #define u_sign(__a,__b) ((__b) >= 0 ? ((__a) >= 0 ? (__a) : -(__a)) : -((__a) >= 0 ? (__a) : -(__a)))
  198. #define d_sign(a,b) u_sign(*(a),*(b))
  199. #define r_sign(a,b) u_sign(*(a),*(b))
  200. #define d_sin(x) (sin(*(x)))
  201. #define d_sinh(x) (sinh(*(x)))
  202. #define d_sqrt(x) (sqrt(*(x)))
  203. #define d_tan(x) (tan(*(x)))
  204. #define d_tanh(x) (tanh(*(x)))
  205. #define i_abs(x) abs(*(x))
  206. #define i_dnnt(x) ((integer)u_nint(*(x)))
  207. #define i_len(s, n) (n)
  208. #define i_nint(x) ((integer)u_nint(*(x)))
  209. #define i_sign(a,b) ((integer)u_sign((integer)*(a),(integer)*(b)))
  210. #define pow_dd(ap, bp) ( pow(*(ap), *(bp)))
  211. #define pow_si(B,E) spow_ui(*(B),*(E))
  212. #define pow_ri(B,E) spow_ui(*(B),*(E))
  213. #define pow_di(B,E) dpow_ui(*(B),*(E))
  214. #define pow_zi(p, a, b) {pCd(p) = zpow_ui(Cd(a), *(b));}
  215. #define pow_ci(p, a, b) {pCf(p) = cpow_ui(Cf(a), *(b));}
  216. #define pow_zz(R,A,B) {pCd(R) = cpow(Cd(A),*(B));}
  217. #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++ = ' '; }
  218. #define s_cmp(a,b,c,d) ((integer)strncmp((a),(b),f2cmin((c),(d))))
  219. #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]; }
  220. #define sig_die(s, kill) { exit(1); }
  221. #define s_stop(s, n) {exit(0);}
  222. static char junk[] = "\n@(#)LIBF77 VERSION 19990503\n";
  223. #define z_abs(z) (cabs(Cd(z)))
  224. #define z_exp(R, Z) {pCd(R) = cexp(Cd(Z));}
  225. #define z_sqrt(R, Z) {pCd(R) = csqrt(Cd(Z));}
  226. #define myexit_() break;
  227. #define mycycle() continue;
  228. #define myceiling(w) {ceil(w)}
  229. #define myhuge(w) {HUGE_VAL}
  230. //#define mymaxloc_(w,s,e,n) {if (sizeof(*(w)) == sizeof(double)) dmaxloc_((w),*(s),*(e),n); else dmaxloc_((w),*(s),*(e),n);}
  231. #define mymaxloc(w,s,e,n) {dmaxloc_(w,*(s),*(e),n)}
  232. /* procedure parameter types for -A and -C++ */
  233. #define F2C_proc_par_types 1
  234. #ifdef __cplusplus
  235. typedef logical (*L_fp)(...);
  236. #else
  237. typedef logical (*L_fp)();
  238. #endif
  239. static float spow_ui(float x, integer n) {
  240. float pow=1.0; unsigned long int u;
  241. if(n != 0) {
  242. if(n < 0) n = -n, x = 1/x;
  243. for(u = n; ; ) {
  244. if(u & 01) pow *= x;
  245. if(u >>= 1) x *= x;
  246. else break;
  247. }
  248. }
  249. return pow;
  250. }
  251. static double dpow_ui(double x, integer n) {
  252. double pow=1.0; unsigned long int u;
  253. if(n != 0) {
  254. if(n < 0) n = -n, x = 1/x;
  255. for(u = n; ; ) {
  256. if(u & 01) pow *= x;
  257. if(u >>= 1) x *= x;
  258. else break;
  259. }
  260. }
  261. return pow;
  262. }
  263. static _Complex float cpow_ui(_Complex float x, integer n) {
  264. _Complex float pow=1.0; unsigned long int u;
  265. if(n != 0) {
  266. if(n < 0) n = -n, x = 1/x;
  267. for(u = n; ; ) {
  268. if(u & 01) pow *= x;
  269. if(u >>= 1) x *= x;
  270. else break;
  271. }
  272. }
  273. return pow;
  274. }
  275. static _Complex double zpow_ui(_Complex double x, integer n) {
  276. _Complex double pow=1.0; unsigned long int u;
  277. if(n != 0) {
  278. if(n < 0) n = -n, x = 1/x;
  279. for(u = n; ; ) {
  280. if(u & 01) pow *= x;
  281. if(u >>= 1) x *= x;
  282. else break;
  283. }
  284. }
  285. return pow;
  286. }
  287. static integer pow_ii(integer x, integer n) {
  288. integer pow; unsigned long int u;
  289. if (n <= 0) {
  290. if (n == 0 || x == 1) pow = 1;
  291. else if (x != -1) pow = x == 0 ? 1/x : 0;
  292. else n = -n;
  293. }
  294. if ((n > 0) || !(n == 0 || x == 1 || x != -1)) {
  295. u = n;
  296. for(pow = 1; ; ) {
  297. if(u & 01) pow *= x;
  298. if(u >>= 1) x *= x;
  299. else break;
  300. }
  301. }
  302. return pow;
  303. }
  304. static integer dmaxloc_(double *w, integer s, integer e, integer *n)
  305. {
  306. double m; integer i, mi;
  307. for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
  308. if (w[i-1]>m) mi=i ,m=w[i-1];
  309. return mi-s+1;
  310. }
  311. static integer smaxloc_(float *w, integer s, integer e, integer *n)
  312. {
  313. float m; integer i, mi;
  314. for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
  315. if (w[i-1]>m) mi=i ,m=w[i-1];
  316. return mi-s+1;
  317. }
  318. static inline void cdotc_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
  319. integer n = *n_, incx = *incx_, incy = *incy_, i;
  320. _Complex float zdotc = 0.0;
  321. if (incx == 1 && incy == 1) {
  322. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  323. zdotc += conjf(Cf(&x[i])) * Cf(&y[i]);
  324. }
  325. } else {
  326. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  327. zdotc += conjf(Cf(&x[i*incx])) * Cf(&y[i*incy]);
  328. }
  329. }
  330. pCf(z) = zdotc;
  331. }
  332. static inline void zdotc_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
  333. integer n = *n_, incx = *incx_, incy = *incy_, i;
  334. _Complex double zdotc = 0.0;
  335. if (incx == 1 && incy == 1) {
  336. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  337. zdotc += conj(Cd(&x[i])) * Cd(&y[i]);
  338. }
  339. } else {
  340. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  341. zdotc += conj(Cd(&x[i*incx])) * Cd(&y[i*incy]);
  342. }
  343. }
  344. pCd(z) = zdotc;
  345. }
  346. static inline void cdotu_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
  347. integer n = *n_, incx = *incx_, incy = *incy_, i;
  348. _Complex float zdotc = 0.0;
  349. if (incx == 1 && incy == 1) {
  350. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  351. zdotc += Cf(&x[i]) * Cf(&y[i]);
  352. }
  353. } else {
  354. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  355. zdotc += Cf(&x[i*incx]) * Cf(&y[i*incy]);
  356. }
  357. }
  358. pCf(z) = zdotc;
  359. }
  360. static inline void zdotu_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
  361. integer n = *n_, incx = *incx_, incy = *incy_, i;
  362. _Complex double zdotc = 0.0;
  363. if (incx == 1 && incy == 1) {
  364. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  365. zdotc += Cd(&x[i]) * Cd(&y[i]);
  366. }
  367. } else {
  368. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  369. zdotc += Cd(&x[i*incx]) * Cd(&y[i*incy]);
  370. }
  371. }
  372. pCd(z) = zdotc;
  373. }
  374. #endif
  375. /* -- translated by f2c (version 20000121).
  376. You must link the resulting object file with the libraries:
  377. -lf2c -lm (in that order)
  378. */
  379. /* Table of constant values */
  380. static integer c__1 = 1;
  381. static integer c_n1 = -1;
  382. static integer c__2 = 2;
  383. static doublereal c_b18 = 1.;
  384. static doublereal c_b22 = -1.;
  385. /* > \brief \b DTRTRI */
  386. /* =========== DOCUMENTATION =========== */
  387. /* Online html documentation available at */
  388. /* http://www.netlib.org/lapack/explore-html/ */
  389. /* > \htmlonly */
  390. /* > Download DTRTRI + dependencies */
  391. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dtrtri.
  392. f"> */
  393. /* > [TGZ]</a> */
  394. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dtrtri.
  395. f"> */
  396. /* > [ZIP]</a> */
  397. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dtrtri.
  398. f"> */
  399. /* > [TXT]</a> */
  400. /* > \endhtmlonly */
  401. /* Definition: */
  402. /* =========== */
  403. /* SUBROUTINE DTRTRI( UPLO, DIAG, N, A, LDA, INFO ) */
  404. /* CHARACTER DIAG, UPLO */
  405. /* INTEGER INFO, LDA, N */
  406. /* DOUBLE PRECISION A( LDA, * ) */
  407. /* > \par Purpose: */
  408. /* ============= */
  409. /* > */
  410. /* > \verbatim */
  411. /* > */
  412. /* > DTRTRI computes the inverse of a real upper or lower triangular */
  413. /* > matrix A. */
  414. /* > */
  415. /* > This is the Level 3 BLAS version of the algorithm. */
  416. /* > \endverbatim */
  417. /* Arguments: */
  418. /* ========== */
  419. /* > \param[in] UPLO */
  420. /* > \verbatim */
  421. /* > UPLO is CHARACTER*1 */
  422. /* > = 'U': A is upper triangular; */
  423. /* > = 'L': A is lower triangular. */
  424. /* > \endverbatim */
  425. /* > */
  426. /* > \param[in] DIAG */
  427. /* > \verbatim */
  428. /* > DIAG is CHARACTER*1 */
  429. /* > = 'N': A is non-unit triangular; */
  430. /* > = 'U': A is unit triangular. */
  431. /* > \endverbatim */
  432. /* > */
  433. /* > \param[in] N */
  434. /* > \verbatim */
  435. /* > N is INTEGER */
  436. /* > The order of the matrix A. N >= 0. */
  437. /* > \endverbatim */
  438. /* > */
  439. /* > \param[in,out] A */
  440. /* > \verbatim */
  441. /* > A is DOUBLE PRECISION array, dimension (LDA,N) */
  442. /* > On entry, the triangular matrix A. If UPLO = 'U', the */
  443. /* > leading N-by-N upper triangular part of the array A contains */
  444. /* > the upper triangular matrix, and the strictly lower */
  445. /* > triangular part of A is not referenced. If UPLO = 'L', the */
  446. /* > leading N-by-N lower triangular part of the array A contains */
  447. /* > the lower triangular matrix, and the strictly upper */
  448. /* > triangular part of A is not referenced. If DIAG = 'U', the */
  449. /* > diagonal elements of A are also not referenced and are */
  450. /* > assumed to be 1. */
  451. /* > On exit, the (triangular) inverse of the original matrix, in */
  452. /* > the same storage format. */
  453. /* > \endverbatim */
  454. /* > */
  455. /* > \param[in] LDA */
  456. /* > \verbatim */
  457. /* > LDA is INTEGER */
  458. /* > The leading dimension of the array A. LDA >= f2cmax(1,N). */
  459. /* > \endverbatim */
  460. /* > */
  461. /* > \param[out] INFO */
  462. /* > \verbatim */
  463. /* > INFO is INTEGER */
  464. /* > = 0: successful exit */
  465. /* > < 0: if INFO = -i, the i-th argument had an illegal value */
  466. /* > > 0: if INFO = i, A(i,i) is exactly zero. The triangular */
  467. /* > matrix is singular and its inverse can not be computed. */
  468. /* > \endverbatim */
  469. /* Authors: */
  470. /* ======== */
  471. /* > \author Univ. of Tennessee */
  472. /* > \author Univ. of California Berkeley */
  473. /* > \author Univ. of Colorado Denver */
  474. /* > \author NAG Ltd. */
  475. /* > \date December 2016 */
  476. /* > \ingroup doubleOTHERcomputational */
  477. /* ===================================================================== */
  478. /* Subroutine */ int dtrtri_(char *uplo, char *diag, integer *n, doublereal *
  479. a, integer *lda, integer *info)
  480. {
  481. /* System generated locals */
  482. address a__1[2];
  483. integer a_dim1, a_offset, i__1, i__2[2], i__3, i__4, i__5;
  484. char ch__1[2];
  485. /* Local variables */
  486. integer j;
  487. extern logical lsame_(char *, char *);
  488. extern /* Subroutine */ int dtrmm_(char *, char *, char *, char *,
  489. integer *, integer *, doublereal *, doublereal *, integer *,
  490. doublereal *, integer *), dtrsm_(
  491. char *, char *, char *, char *, integer *, integer *, doublereal *
  492. , doublereal *, integer *, doublereal *, integer *);
  493. logical upper;
  494. extern /* Subroutine */ int dtrti2_(char *, char *, integer *, doublereal
  495. *, integer *, integer *);
  496. integer jb, nb, nn;
  497. extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
  498. extern integer ilaenv_(integer *, char *, char *, integer *, integer *,
  499. integer *, integer *, ftnlen, ftnlen);
  500. logical nounit;
  501. /* -- LAPACK computational routine (version 3.7.0) -- */
  502. /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
  503. /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  504. /* December 2016 */
  505. /* ===================================================================== */
  506. /* Test the input parameters. */
  507. /* Parameter adjustments */
  508. a_dim1 = *lda;
  509. a_offset = 1 + a_dim1 * 1;
  510. a -= a_offset;
  511. /* Function Body */
  512. *info = 0;
  513. upper = lsame_(uplo, "U");
  514. nounit = lsame_(diag, "N");
  515. if (! upper && ! lsame_(uplo, "L")) {
  516. *info = -1;
  517. } else if (! nounit && ! lsame_(diag, "U")) {
  518. *info = -2;
  519. } else if (*n < 0) {
  520. *info = -3;
  521. } else if (*lda < f2cmax(1,*n)) {
  522. *info = -5;
  523. }
  524. if (*info != 0) {
  525. i__1 = -(*info);
  526. xerbla_("DTRTRI", &i__1, (ftnlen)6);
  527. return 0;
  528. }
  529. /* Quick return if possible */
  530. if (*n == 0) {
  531. return 0;
  532. }
  533. /* Check for singularity if non-unit. */
  534. if (nounit) {
  535. i__1 = *n;
  536. for (*info = 1; *info <= i__1; ++(*info)) {
  537. if (a[*info + *info * a_dim1] == 0.) {
  538. return 0;
  539. }
  540. /* L10: */
  541. }
  542. *info = 0;
  543. }
  544. /* Determine the block size for this environment. */
  545. /* Writing concatenation */
  546. i__2[0] = 1, a__1[0] = uplo;
  547. i__2[1] = 1, a__1[1] = diag;
  548. s_cat(ch__1, a__1, i__2, &c__2, (ftnlen)2);
  549. nb = ilaenv_(&c__1, "DTRTRI", ch__1, n, &c_n1, &c_n1, &c_n1, (ftnlen)6, (
  550. ftnlen)2);
  551. if (nb <= 1 || nb >= *n) {
  552. /* Use unblocked code */
  553. dtrti2_(uplo, diag, n, &a[a_offset], lda, info);
  554. } else {
  555. /* Use blocked code */
  556. if (upper) {
  557. /* Compute inverse of upper triangular matrix */
  558. i__1 = *n;
  559. i__3 = nb;
  560. for (j = 1; i__3 < 0 ? j >= i__1 : j <= i__1; j += i__3) {
  561. /* Computing MIN */
  562. i__4 = nb, i__5 = *n - j + 1;
  563. jb = f2cmin(i__4,i__5);
  564. /* Compute rows 1:j-1 of current block column */
  565. i__4 = j - 1;
  566. dtrmm_("Left", "Upper", "No transpose", diag, &i__4, &jb, &
  567. c_b18, &a[a_offset], lda, &a[j * a_dim1 + 1], lda);
  568. i__4 = j - 1;
  569. dtrsm_("Right", "Upper", "No transpose", diag, &i__4, &jb, &
  570. c_b22, &a[j + j * a_dim1], lda, &a[j * a_dim1 + 1],
  571. lda);
  572. /* Compute inverse of current diagonal block */
  573. dtrti2_("Upper", diag, &jb, &a[j + j * a_dim1], lda, info);
  574. /* L20: */
  575. }
  576. } else {
  577. /* Compute inverse of lower triangular matrix */
  578. nn = (*n - 1) / nb * nb + 1;
  579. i__3 = -nb;
  580. for (j = nn; i__3 < 0 ? j >= 1 : j <= 1; j += i__3) {
  581. /* Computing MIN */
  582. i__1 = nb, i__4 = *n - j + 1;
  583. jb = f2cmin(i__1,i__4);
  584. if (j + jb <= *n) {
  585. /* Compute rows j+jb:n of current block column */
  586. i__1 = *n - j - jb + 1;
  587. dtrmm_("Left", "Lower", "No transpose", diag, &i__1, &jb,
  588. &c_b18, &a[j + jb + (j + jb) * a_dim1], lda, &a[j
  589. + jb + j * a_dim1], lda);
  590. i__1 = *n - j - jb + 1;
  591. dtrsm_("Right", "Lower", "No transpose", diag, &i__1, &jb,
  592. &c_b22, &a[j + j * a_dim1], lda, &a[j + jb + j *
  593. a_dim1], lda);
  594. }
  595. /* Compute inverse of current diagonal block */
  596. dtrti2_("Lower", diag, &jb, &a[j + j * a_dim1], lda, info);
  597. /* L30: */
  598. }
  599. }
  600. }
  601. return 0;
  602. /* End of DTRTRI */
  603. } /* dtrtri_ */