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dtpmlqt.c 23 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. /* > \brief \b DTPMLQT */
  380. /* =========== DOCUMENTATION =========== */
  381. /* Online html documentation available at */
  382. /* http://www.netlib.org/lapack/explore-html/ */
  383. /* > \htmlonly */
  384. /* > Download DTPMQRT + dependencies */
  385. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dtpmlqt
  386. .f"> */
  387. /* > [TGZ]</a> */
  388. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dtpmlqt
  389. .f"> */
  390. /* > [ZIP]</a> */
  391. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dtpmlqt
  392. .f"> */
  393. /* > [TXT]</a> */
  394. /* > \endhtmlonly */
  395. /* Definition: */
  396. /* =========== */
  397. /* SUBROUTINE DTPMLQT( SIDE, TRANS, M, N, K, L, MB, V, LDV, T, LDT, */
  398. /* A, LDA, B, LDB, WORK, INFO ) */
  399. /* CHARACTER SIDE, TRANS */
  400. /* INTEGER INFO, K, LDV, LDA, LDB, M, N, L, MB, LDT */
  401. /* DOUBLE PRECISION V( LDV, * ), A( LDA, * ), B( LDB, * ), */
  402. /* $ T( LDT, * ), WORK( * ) */
  403. /* > \par Purpose: */
  404. /* ============= */
  405. /* > */
  406. /* > \verbatim */
  407. /* > */
  408. /* > DTPMQRT applies a real orthogonal matrix Q obtained from a */
  409. /* > "triangular-pentagonal" real block reflector H to a general */
  410. /* > real matrix C, which consists of two blocks A and B. */
  411. /* > \endverbatim */
  412. /* Arguments: */
  413. /* ========== */
  414. /* > \param[in] SIDE */
  415. /* > \verbatim */
  416. /* > SIDE is CHARACTER*1 */
  417. /* > = 'L': apply Q or Q**T from the Left; */
  418. /* > = 'R': apply Q or Q**T from the Right. */
  419. /* > \endverbatim */
  420. /* > */
  421. /* > \param[in] TRANS */
  422. /* > \verbatim */
  423. /* > TRANS is CHARACTER*1 */
  424. /* > = 'N': No transpose, apply Q; */
  425. /* > = 'T': Transpose, apply Q**T. */
  426. /* > \endverbatim */
  427. /* > */
  428. /* > \param[in] M */
  429. /* > \verbatim */
  430. /* > M is INTEGER */
  431. /* > The number of rows of the matrix B. M >= 0. */
  432. /* > \endverbatim */
  433. /* > */
  434. /* > \param[in] N */
  435. /* > \verbatim */
  436. /* > N is INTEGER */
  437. /* > The number of columns of the matrix B. N >= 0. */
  438. /* > \endverbatim */
  439. /* > */
  440. /* > \param[in] K */
  441. /* > \verbatim */
  442. /* > K is INTEGER */
  443. /* > The number of elementary reflectors whose product defines */
  444. /* > the matrix Q. */
  445. /* > \endverbatim */
  446. /* > */
  447. /* > \param[in] L */
  448. /* > \verbatim */
  449. /* > L is INTEGER */
  450. /* > The order of the trapezoidal part of V. */
  451. /* > K >= L >= 0. See Further Details. */
  452. /* > \endverbatim */
  453. /* > */
  454. /* > \param[in] MB */
  455. /* > \verbatim */
  456. /* > MB is INTEGER */
  457. /* > The block size used for the storage of T. K >= MB >= 1. */
  458. /* > This must be the same value of MB used to generate T */
  459. /* > in DTPLQT. */
  460. /* > \endverbatim */
  461. /* > */
  462. /* > \param[in] V */
  463. /* > \verbatim */
  464. /* > V is DOUBLE PRECISION array, dimension (LDV,K) */
  465. /* > The i-th row must contain the vector which defines the */
  466. /* > elementary reflector H(i), for i = 1,2,...,k, as returned by */
  467. /* > DTPLQT in B. See Further Details. */
  468. /* > \endverbatim */
  469. /* > */
  470. /* > \param[in] LDV */
  471. /* > \verbatim */
  472. /* > LDV is INTEGER */
  473. /* > The leading dimension of the array V. */
  474. /* > If SIDE = 'L', LDV >= f2cmax(1,M); */
  475. /* > if SIDE = 'R', LDV >= f2cmax(1,N). */
  476. /* > \endverbatim */
  477. /* > */
  478. /* > \param[in] T */
  479. /* > \verbatim */
  480. /* > T is DOUBLE PRECISION array, dimension (LDT,K) */
  481. /* > The upper triangular factors of the block reflectors */
  482. /* > as returned by DTPLQT, stored as a MB-by-K matrix. */
  483. /* > \endverbatim */
  484. /* > */
  485. /* > \param[in] LDT */
  486. /* > \verbatim */
  487. /* > LDT is INTEGER */
  488. /* > The leading dimension of the array T. LDT >= MB. */
  489. /* > \endverbatim */
  490. /* > */
  491. /* > \param[in,out] A */
  492. /* > \verbatim */
  493. /* > A is DOUBLE PRECISION array, dimension */
  494. /* > (LDA,N) if SIDE = 'L' or */
  495. /* > (LDA,K) if SIDE = 'R' */
  496. /* > On entry, the K-by-N or M-by-K matrix A. */
  497. /* > On exit, A is overwritten by the corresponding block of */
  498. /* > Q*C or Q**T*C or C*Q or C*Q**T. See Further Details. */
  499. /* > \endverbatim */
  500. /* > */
  501. /* > \param[in] LDA */
  502. /* > \verbatim */
  503. /* > LDA is INTEGER */
  504. /* > The leading dimension of the array A. */
  505. /* > If SIDE = 'L', LDC >= f2cmax(1,K); */
  506. /* > If SIDE = 'R', LDC >= f2cmax(1,M). */
  507. /* > \endverbatim */
  508. /* > */
  509. /* > \param[in,out] B */
  510. /* > \verbatim */
  511. /* > B is DOUBLE PRECISION array, dimension (LDB,N) */
  512. /* > On entry, the M-by-N matrix B. */
  513. /* > On exit, B is overwritten by the corresponding block of */
  514. /* > Q*C or Q**T*C or C*Q or C*Q**T. See Further Details. */
  515. /* > \endverbatim */
  516. /* > */
  517. /* > \param[in] LDB */
  518. /* > \verbatim */
  519. /* > LDB is INTEGER */
  520. /* > The leading dimension of the array B. */
  521. /* > LDB >= f2cmax(1,M). */
  522. /* > \endverbatim */
  523. /* > */
  524. /* > \param[out] WORK */
  525. /* > \verbatim */
  526. /* > WORK is DOUBLE PRECISION array. The dimension of WORK is */
  527. /* > N*MB if SIDE = 'L', or M*MB if SIDE = 'R'. */
  528. /* > \endverbatim */
  529. /* > */
  530. /* > \param[out] INFO */
  531. /* > \verbatim */
  532. /* > INFO is INTEGER */
  533. /* > = 0: successful exit */
  534. /* > < 0: if INFO = -i, the i-th argument had an illegal value */
  535. /* > \endverbatim */
  536. /* Authors: */
  537. /* ======== */
  538. /* > \author Univ. of Tennessee */
  539. /* > \author Univ. of California Berkeley */
  540. /* > \author Univ. of Colorado Denver */
  541. /* > \author NAG Ltd. */
  542. /* > \date November 2017 */
  543. /* > \ingroup doubleOTHERcomputational */
  544. /* > \par Further Details: */
  545. /* ===================== */
  546. /* > */
  547. /* > \verbatim */
  548. /* > */
  549. /* > The columns of the pentagonal matrix V contain the elementary reflectors */
  550. /* > H(1), H(2), ..., H(K); V is composed of a rectangular block V1 and a */
  551. /* > trapezoidal block V2: */
  552. /* > */
  553. /* > V = [V1] [V2]. */
  554. /* > */
  555. /* > */
  556. /* > The size of the trapezoidal block V2 is determined by the parameter L, */
  557. /* > where 0 <= L <= K; V2 is lower trapezoidal, consisting of the first L */
  558. /* > rows of a K-by-K upper triangular matrix. If L=K, V2 is lower triangular; */
  559. /* > if L=0, there is no trapezoidal block, hence V = V1 is rectangular. */
  560. /* > */
  561. /* > If SIDE = 'L': C = [A] where A is K-by-N, B is M-by-N and V is K-by-M. */
  562. /* > [B] */
  563. /* > */
  564. /* > If SIDE = 'R': C = [A B] where A is M-by-K, B is M-by-N and V is K-by-N. */
  565. /* > */
  566. /* > The real orthogonal matrix Q is formed from V and T. */
  567. /* > */
  568. /* > If TRANS='N' and SIDE='L', C is on exit replaced with Q * C. */
  569. /* > */
  570. /* > If TRANS='T' and SIDE='L', C is on exit replaced with Q**T * C. */
  571. /* > */
  572. /* > If TRANS='N' and SIDE='R', C is on exit replaced with C * Q. */
  573. /* > */
  574. /* > If TRANS='T' and SIDE='R', C is on exit replaced with C * Q**T. */
  575. /* > \endverbatim */
  576. /* > */
  577. /* ===================================================================== */
  578. /* Subroutine */ int dtpmlqt_(char *side, char *trans, integer *m, integer *n,
  579. integer *k, integer *l, integer *mb, doublereal *v, integer *ldv,
  580. doublereal *t, integer *ldt, doublereal *a, integer *lda, doublereal *
  581. b, integer *ldb, doublereal *work, integer *info)
  582. {
  583. /* System generated locals */
  584. integer v_dim1, v_offset, a_dim1, a_offset, b_dim1, b_offset, t_dim1,
  585. t_offset, i__1, i__2, i__3, i__4;
  586. /* Local variables */
  587. integer ldaq;
  588. logical left, tran;
  589. integer i__;
  590. extern logical lsame_(char *, char *);
  591. logical right;
  592. integer ib, lb, nb, kf;
  593. extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen), dtprfb_(
  594. char *, char *, char *, char *, integer *, integer *, integer *,
  595. integer *, doublereal *, integer *, doublereal *, integer *,
  596. doublereal *, integer *, doublereal *, integer *, doublereal *,
  597. integer *);
  598. logical notran;
  599. /* -- LAPACK computational routine (version 3.8.0) -- */
  600. /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
  601. /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  602. /* November 2017 */
  603. /* ===================================================================== */
  604. /* Parameter adjustments */
  605. v_dim1 = *ldv;
  606. v_offset = 1 + v_dim1 * 1;
  607. v -= v_offset;
  608. t_dim1 = *ldt;
  609. t_offset = 1 + t_dim1 * 1;
  610. t -= t_offset;
  611. a_dim1 = *lda;
  612. a_offset = 1 + a_dim1 * 1;
  613. a -= a_offset;
  614. b_dim1 = *ldb;
  615. b_offset = 1 + b_dim1 * 1;
  616. b -= b_offset;
  617. --work;
  618. /* Function Body */
  619. *info = 0;
  620. left = lsame_(side, "L");
  621. right = lsame_(side, "R");
  622. tran = lsame_(trans, "T");
  623. notran = lsame_(trans, "N");
  624. if (left) {
  625. ldaq = f2cmax(1,*k);
  626. } else if (right) {
  627. ldaq = f2cmax(1,*m);
  628. }
  629. if (! left && ! right) {
  630. *info = -1;
  631. } else if (! tran && ! notran) {
  632. *info = -2;
  633. } else if (*m < 0) {
  634. *info = -3;
  635. } else if (*n < 0) {
  636. *info = -4;
  637. } else if (*k < 0) {
  638. *info = -5;
  639. } else if (*l < 0 || *l > *k) {
  640. *info = -6;
  641. } else if (*mb < 1 || *mb > *k && *k > 0) {
  642. *info = -7;
  643. } else if (*ldv < *k) {
  644. *info = -9;
  645. } else if (*ldt < *mb) {
  646. *info = -11;
  647. } else if (*lda < ldaq) {
  648. *info = -13;
  649. } else if (*ldb < f2cmax(1,*m)) {
  650. *info = -15;
  651. }
  652. if (*info != 0) {
  653. i__1 = -(*info);
  654. xerbla_("DTPMLQT", &i__1, (ftnlen)7);
  655. return 0;
  656. }
  657. if (*m == 0 || *n == 0 || *k == 0) {
  658. return 0;
  659. }
  660. if (left && notran) {
  661. i__1 = *k;
  662. i__2 = *mb;
  663. for (i__ = 1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += i__2) {
  664. /* Computing MIN */
  665. i__3 = *mb, i__4 = *k - i__ + 1;
  666. ib = f2cmin(i__3,i__4);
  667. /* Computing MIN */
  668. i__3 = *m - *l + i__ + ib - 1;
  669. nb = f2cmin(i__3,*m);
  670. if (i__ >= *l) {
  671. lb = 0;
  672. } else {
  673. lb = 0;
  674. }
  675. dtprfb_("L", "T", "F", "R", &nb, n, &ib, &lb, &v[i__ + v_dim1],
  676. ldv, &t[i__ * t_dim1 + 1], ldt, &a[i__ + a_dim1], lda, &b[
  677. b_offset], ldb, &work[1], &ib);
  678. }
  679. } else if (right && tran) {
  680. i__2 = *k;
  681. i__1 = *mb;
  682. for (i__ = 1; i__1 < 0 ? i__ >= i__2 : i__ <= i__2; i__ += i__1) {
  683. /* Computing MIN */
  684. i__3 = *mb, i__4 = *k - i__ + 1;
  685. ib = f2cmin(i__3,i__4);
  686. /* Computing MIN */
  687. i__3 = *n - *l + i__ + ib - 1;
  688. nb = f2cmin(i__3,*n);
  689. if (i__ >= *l) {
  690. lb = 0;
  691. } else {
  692. lb = nb - *n + *l - i__ + 1;
  693. }
  694. dtprfb_("R", "N", "F", "R", m, &nb, &ib, &lb, &v[i__ + v_dim1],
  695. ldv, &t[i__ * t_dim1 + 1], ldt, &a[i__ * a_dim1 + 1], lda,
  696. &b[b_offset], ldb, &work[1], m);
  697. }
  698. } else if (left && tran) {
  699. kf = (*k - 1) / *mb * *mb + 1;
  700. i__1 = -(*mb);
  701. for (i__ = kf; i__1 < 0 ? i__ >= 1 : i__ <= 1; i__ += i__1) {
  702. /* Computing MIN */
  703. i__2 = *mb, i__3 = *k - i__ + 1;
  704. ib = f2cmin(i__2,i__3);
  705. /* Computing MIN */
  706. i__2 = *m - *l + i__ + ib - 1;
  707. nb = f2cmin(i__2,*m);
  708. if (i__ >= *l) {
  709. lb = 0;
  710. } else {
  711. lb = 0;
  712. }
  713. dtprfb_("L", "N", "F", "R", &nb, n, &ib, &lb, &v[i__ + v_dim1],
  714. ldv, &t[i__ * t_dim1 + 1], ldt, &a[i__ + a_dim1], lda, &b[
  715. b_offset], ldb, &work[1], &ib);
  716. }
  717. } else if (right && notran) {
  718. kf = (*k - 1) / *mb * *mb + 1;
  719. i__1 = -(*mb);
  720. for (i__ = kf; i__1 < 0 ? i__ >= 1 : i__ <= 1; i__ += i__1) {
  721. /* Computing MIN */
  722. i__2 = *mb, i__3 = *k - i__ + 1;
  723. ib = f2cmin(i__2,i__3);
  724. /* Computing MIN */
  725. i__2 = *n - *l + i__ + ib - 1;
  726. nb = f2cmin(i__2,*n);
  727. if (i__ >= *l) {
  728. lb = 0;
  729. } else {
  730. lb = nb - *n + *l - i__ + 1;
  731. }
  732. dtprfb_("R", "T", "F", "R", m, &nb, &ib, &lb, &v[i__ + v_dim1],
  733. ldv, &t[i__ * t_dim1 + 1], ldt, &a[i__ * a_dim1 + 1], lda,
  734. &b[b_offset], ldb, &work[1], m);
  735. }
  736. }
  737. return 0;
  738. /* End of DTPMLQT */
  739. } /* dtpmlqt_ */