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dormtr.c 21 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. /* > \brief \b DORMTR */
  384. /* =========== DOCUMENTATION =========== */
  385. /* Online html documentation available at */
  386. /* http://www.netlib.org/lapack/explore-html/ */
  387. /* > \htmlonly */
  388. /* > Download DORMTR + dependencies */
  389. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dormtr.
  390. f"> */
  391. /* > [TGZ]</a> */
  392. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dormtr.
  393. f"> */
  394. /* > [ZIP]</a> */
  395. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dormtr.
  396. f"> */
  397. /* > [TXT]</a> */
  398. /* > \endhtmlonly */
  399. /* Definition: */
  400. /* =========== */
  401. /* SUBROUTINE DORMTR( SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, */
  402. /* WORK, LWORK, INFO ) */
  403. /* CHARACTER SIDE, TRANS, UPLO */
  404. /* INTEGER INFO, LDA, LDC, LWORK, M, N */
  405. /* DOUBLE PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * ) */
  406. /* > \par Purpose: */
  407. /* ============= */
  408. /* > */
  409. /* > \verbatim */
  410. /* > */
  411. /* > DORMTR overwrites the general real M-by-N matrix C with */
  412. /* > */
  413. /* > SIDE = 'L' SIDE = 'R' */
  414. /* > TRANS = 'N': Q * C C * Q */
  415. /* > TRANS = 'T': Q**T * C C * Q**T */
  416. /* > */
  417. /* > where Q is a real orthogonal matrix of order nq, with nq = m if */
  418. /* > SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of */
  419. /* > nq-1 elementary reflectors, as returned by DSYTRD: */
  420. /* > */
  421. /* > if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1); */
  422. /* > */
  423. /* > if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1). */
  424. /* > \endverbatim */
  425. /* Arguments: */
  426. /* ========== */
  427. /* > \param[in] SIDE */
  428. /* > \verbatim */
  429. /* > SIDE is CHARACTER*1 */
  430. /* > = 'L': apply Q or Q**T from the Left; */
  431. /* > = 'R': apply Q or Q**T from the Right. */
  432. /* > \endverbatim */
  433. /* > */
  434. /* > \param[in] UPLO */
  435. /* > \verbatim */
  436. /* > UPLO is CHARACTER*1 */
  437. /* > = 'U': Upper triangle of A contains elementary reflectors */
  438. /* > from DSYTRD; */
  439. /* > = 'L': Lower triangle of A contains elementary reflectors */
  440. /* > from DSYTRD. */
  441. /* > \endverbatim */
  442. /* > */
  443. /* > \param[in] TRANS */
  444. /* > \verbatim */
  445. /* > TRANS is CHARACTER*1 */
  446. /* > = 'N': No transpose, apply Q; */
  447. /* > = 'T': Transpose, apply Q**T. */
  448. /* > \endverbatim */
  449. /* > */
  450. /* > \param[in] M */
  451. /* > \verbatim */
  452. /* > M is INTEGER */
  453. /* > The number of rows of the matrix C. M >= 0. */
  454. /* > \endverbatim */
  455. /* > */
  456. /* > \param[in] N */
  457. /* > \verbatim */
  458. /* > N is INTEGER */
  459. /* > The number of columns of the matrix C. N >= 0. */
  460. /* > \endverbatim */
  461. /* > */
  462. /* > \param[in] A */
  463. /* > \verbatim */
  464. /* > A is DOUBLE PRECISION array, dimension */
  465. /* > (LDA,M) if SIDE = 'L' */
  466. /* > (LDA,N) if SIDE = 'R' */
  467. /* > The vectors which define the elementary reflectors, as */
  468. /* > returned by DSYTRD. */
  469. /* > \endverbatim */
  470. /* > */
  471. /* > \param[in] LDA */
  472. /* > \verbatim */
  473. /* > LDA is INTEGER */
  474. /* > The leading dimension of the array A. */
  475. /* > LDA >= f2cmax(1,M) if SIDE = 'L'; LDA >= f2cmax(1,N) if SIDE = 'R'. */
  476. /* > \endverbatim */
  477. /* > */
  478. /* > \param[in] TAU */
  479. /* > \verbatim */
  480. /* > TAU is DOUBLE PRECISION array, dimension */
  481. /* > (M-1) if SIDE = 'L' */
  482. /* > (N-1) if SIDE = 'R' */
  483. /* > TAU(i) must contain the scalar factor of the elementary */
  484. /* > reflector H(i), as returned by DSYTRD. */
  485. /* > \endverbatim */
  486. /* > */
  487. /* > \param[in,out] C */
  488. /* > \verbatim */
  489. /* > C is DOUBLE PRECISION array, dimension (LDC,N) */
  490. /* > On entry, the M-by-N matrix C. */
  491. /* > On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q. */
  492. /* > \endverbatim */
  493. /* > */
  494. /* > \param[in] LDC */
  495. /* > \verbatim */
  496. /* > LDC is INTEGER */
  497. /* > The leading dimension of the array C. LDC >= f2cmax(1,M). */
  498. /* > \endverbatim */
  499. /* > */
  500. /* > \param[out] WORK */
  501. /* > \verbatim */
  502. /* > WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)) */
  503. /* > On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */
  504. /* > \endverbatim */
  505. /* > */
  506. /* > \param[in] LWORK */
  507. /* > \verbatim */
  508. /* > LWORK is INTEGER */
  509. /* > The dimension of the array WORK. */
  510. /* > If SIDE = 'L', LWORK >= f2cmax(1,N); */
  511. /* > if SIDE = 'R', LWORK >= f2cmax(1,M). */
  512. /* > For optimum performance LWORK >= N*NB if SIDE = 'L', and */
  513. /* > LWORK >= M*NB if SIDE = 'R', where NB is the optimal */
  514. /* > blocksize. */
  515. /* > */
  516. /* > If LWORK = -1, then a workspace query is assumed; the routine */
  517. /* > only calculates the optimal size of the WORK array, returns */
  518. /* > this value as the first entry of the WORK array, and no error */
  519. /* > message related to LWORK is issued by XERBLA. */
  520. /* > \endverbatim */
  521. /* > */
  522. /* > \param[out] INFO */
  523. /* > \verbatim */
  524. /* > INFO is INTEGER */
  525. /* > = 0: successful exit */
  526. /* > < 0: if INFO = -i, the i-th argument had an illegal value */
  527. /* > \endverbatim */
  528. /* Authors: */
  529. /* ======== */
  530. /* > \author Univ. of Tennessee */
  531. /* > \author Univ. of California Berkeley */
  532. /* > \author Univ. of Colorado Denver */
  533. /* > \author NAG Ltd. */
  534. /* > \date December 2016 */
  535. /* > \ingroup doubleOTHERcomputational */
  536. /* ===================================================================== */
  537. /* Subroutine */ int dormtr_(char *side, char *uplo, char *trans, integer *m,
  538. integer *n, doublereal *a, integer *lda, doublereal *tau, doublereal *
  539. c__, integer *ldc, doublereal *work, integer *lwork, integer *info)
  540. {
  541. /* System generated locals */
  542. address a__1[2];
  543. integer a_dim1, a_offset, c_dim1, c_offset, i__1[2], i__2, i__3;
  544. char ch__1[2];
  545. /* Local variables */
  546. logical left;
  547. extern logical lsame_(char *, char *);
  548. integer iinfo, i1;
  549. logical upper;
  550. integer i2, nb, mi, ni, nq, nw;
  551. extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
  552. extern integer ilaenv_(integer *, char *, char *, integer *, integer *,
  553. integer *, integer *, ftnlen, ftnlen);
  554. extern /* Subroutine */ int dormql_(char *, char *, integer *, integer *,
  555. integer *, doublereal *, integer *, doublereal *, doublereal *,
  556. integer *, doublereal *, integer *, integer *),
  557. dormqr_(char *, char *, integer *, integer *, integer *,
  558. doublereal *, integer *, doublereal *, doublereal *, integer *,
  559. doublereal *, integer *, integer *);
  560. integer lwkopt;
  561. logical lquery;
  562. /* -- LAPACK computational routine (version 3.7.0) -- */
  563. /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
  564. /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  565. /* December 2016 */
  566. /* ===================================================================== */
  567. /* Test the input arguments */
  568. /* Parameter adjustments */
  569. a_dim1 = *lda;
  570. a_offset = 1 + a_dim1 * 1;
  571. a -= a_offset;
  572. --tau;
  573. c_dim1 = *ldc;
  574. c_offset = 1 + c_dim1 * 1;
  575. c__ -= c_offset;
  576. --work;
  577. /* Function Body */
  578. *info = 0;
  579. left = lsame_(side, "L");
  580. upper = lsame_(uplo, "U");
  581. lquery = *lwork == -1;
  582. /* NQ is the order of Q and NW is the minimum dimension of WORK */
  583. if (left) {
  584. nq = *m;
  585. nw = *n;
  586. } else {
  587. nq = *n;
  588. nw = *m;
  589. }
  590. if (! left && ! lsame_(side, "R")) {
  591. *info = -1;
  592. } else if (! upper && ! lsame_(uplo, "L")) {
  593. *info = -2;
  594. } else if (! lsame_(trans, "N") && ! lsame_(trans,
  595. "T")) {
  596. *info = -3;
  597. } else if (*m < 0) {
  598. *info = -4;
  599. } else if (*n < 0) {
  600. *info = -5;
  601. } else if (*lda < f2cmax(1,nq)) {
  602. *info = -7;
  603. } else if (*ldc < f2cmax(1,*m)) {
  604. *info = -10;
  605. } else if (*lwork < f2cmax(1,nw) && ! lquery) {
  606. *info = -12;
  607. }
  608. if (*info == 0) {
  609. if (upper) {
  610. if (left) {
  611. /* Writing concatenation */
  612. i__1[0] = 1, a__1[0] = side;
  613. i__1[1] = 1, a__1[1] = trans;
  614. s_cat(ch__1, a__1, i__1, &c__2, (ftnlen)2);
  615. i__2 = *m - 1;
  616. i__3 = *m - 1;
  617. nb = ilaenv_(&c__1, "DORMQL", ch__1, &i__2, n, &i__3, &c_n1, (
  618. ftnlen)6, (ftnlen)2);
  619. } else {
  620. /* Writing concatenation */
  621. i__1[0] = 1, a__1[0] = side;
  622. i__1[1] = 1, a__1[1] = trans;
  623. s_cat(ch__1, a__1, i__1, &c__2, (ftnlen)2);
  624. i__2 = *n - 1;
  625. i__3 = *n - 1;
  626. nb = ilaenv_(&c__1, "DORMQL", ch__1, m, &i__2, &i__3, &c_n1, (
  627. ftnlen)6, (ftnlen)2);
  628. }
  629. } else {
  630. if (left) {
  631. /* Writing concatenation */
  632. i__1[0] = 1, a__1[0] = side;
  633. i__1[1] = 1, a__1[1] = trans;
  634. s_cat(ch__1, a__1, i__1, &c__2, (ftnlen)2);
  635. i__2 = *m - 1;
  636. i__3 = *m - 1;
  637. nb = ilaenv_(&c__1, "DORMQR", ch__1, &i__2, n, &i__3, &c_n1, (
  638. ftnlen)6, (ftnlen)2);
  639. } else {
  640. /* Writing concatenation */
  641. i__1[0] = 1, a__1[0] = side;
  642. i__1[1] = 1, a__1[1] = trans;
  643. s_cat(ch__1, a__1, i__1, &c__2, (ftnlen)2);
  644. i__2 = *n - 1;
  645. i__3 = *n - 1;
  646. nb = ilaenv_(&c__1, "DORMQR", ch__1, m, &i__2, &i__3, &c_n1, (
  647. ftnlen)6, (ftnlen)2);
  648. }
  649. }
  650. lwkopt = f2cmax(1,nw) * nb;
  651. work[1] = (doublereal) lwkopt;
  652. }
  653. if (*info != 0) {
  654. i__2 = -(*info);
  655. xerbla_("DORMTR", &i__2, (ftnlen)6);
  656. return 0;
  657. } else if (lquery) {
  658. return 0;
  659. }
  660. /* Quick return if possible */
  661. if (*m == 0 || *n == 0 || nq == 1) {
  662. work[1] = 1.;
  663. return 0;
  664. }
  665. if (left) {
  666. mi = *m - 1;
  667. ni = *n;
  668. } else {
  669. mi = *m;
  670. ni = *n - 1;
  671. }
  672. if (upper) {
  673. /* Q was determined by a call to DSYTRD with UPLO = 'U' */
  674. i__2 = nq - 1;
  675. dormql_(side, trans, &mi, &ni, &i__2, &a[(a_dim1 << 1) + 1], lda, &
  676. tau[1], &c__[c_offset], ldc, &work[1], lwork, &iinfo);
  677. } else {
  678. /* Q was determined by a call to DSYTRD with UPLO = 'L' */
  679. if (left) {
  680. i1 = 2;
  681. i2 = 1;
  682. } else {
  683. i1 = 1;
  684. i2 = 2;
  685. }
  686. i__2 = nq - 1;
  687. dormqr_(side, trans, &mi, &ni, &i__2, &a[a_dim1 + 2], lda, &tau[1], &
  688. c__[i1 + i2 * c_dim1], ldc, &work[1], lwork, &iinfo);
  689. }
  690. work[1] = (doublereal) lwkopt;
  691. return 0;
  692. /* End of DORMTR */
  693. } /* dormtr_ */