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dtfsm.c 44 kB

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  1. #include <math.h>
  2. #include <stdlib.h>
  3. #include <string.h>
  4. #include <stdio.h>
  5. #include <complex.h>
  6. #ifdef complex
  7. #undef complex
  8. #endif
  9. #ifdef I
  10. #undef I
  11. #endif
  12. #if defined(_WIN64)
  13. typedef long long BLASLONG;
  14. typedef unsigned long long BLASULONG;
  15. #else
  16. typedef long BLASLONG;
  17. typedef unsigned long BLASULONG;
  18. #endif
  19. #ifdef LAPACK_ILP64
  20. typedef BLASLONG blasint;
  21. #if defined(_WIN64)
  22. #define blasabs(x) llabs(x)
  23. #else
  24. #define blasabs(x) labs(x)
  25. #endif
  26. #else
  27. typedef int blasint;
  28. #define blasabs(x) abs(x)
  29. #endif
  30. typedef blasint integer;
  31. typedef unsigned int uinteger;
  32. typedef char *address;
  33. typedef short int shortint;
  34. typedef float real;
  35. typedef double doublereal;
  36. typedef struct { real r, i; } complex;
  37. typedef struct { doublereal r, i; } doublecomplex;
  38. #ifdef _MSC_VER
  39. static inline _Fcomplex Cf(complex *z) {_Fcomplex zz={z->r , z->i}; return zz;}
  40. static inline _Dcomplex Cd(doublecomplex *z) {_Dcomplex zz={z->r , z->i};return zz;}
  41. static inline _Fcomplex * _pCf(complex *z) {return (_Fcomplex*)z;}
  42. static inline _Dcomplex * _pCd(doublecomplex *z) {return (_Dcomplex*)z;}
  43. #else
  44. static inline _Complex float Cf(complex *z) {return z->r + z->i*_Complex_I;}
  45. static inline _Complex double Cd(doublecomplex *z) {return z->r + z->i*_Complex_I;}
  46. static inline _Complex float * _pCf(complex *z) {return (_Complex float*)z;}
  47. static inline _Complex double * _pCd(doublecomplex *z) {return (_Complex double*)z;}
  48. #endif
  49. #define pCf(z) (*_pCf(z))
  50. #define pCd(z) (*_pCd(z))
  51. typedef blasint logical;
  52. typedef char logical1;
  53. typedef char integer1;
  54. #define TRUE_ (1)
  55. #define FALSE_ (0)
  56. /* Extern is for use with -E */
  57. #ifndef Extern
  58. #define Extern extern
  59. #endif
  60. /* I/O stuff */
  61. typedef int flag;
  62. typedef int ftnlen;
  63. typedef int ftnint;
  64. /*external read, write*/
  65. typedef struct
  66. { flag cierr;
  67. ftnint ciunit;
  68. flag ciend;
  69. char *cifmt;
  70. ftnint cirec;
  71. } cilist;
  72. /*internal read, write*/
  73. typedef struct
  74. { flag icierr;
  75. char *iciunit;
  76. flag iciend;
  77. char *icifmt;
  78. ftnint icirlen;
  79. ftnint icirnum;
  80. } icilist;
  81. /*open*/
  82. typedef struct
  83. { flag oerr;
  84. ftnint ounit;
  85. char *ofnm;
  86. ftnlen ofnmlen;
  87. char *osta;
  88. char *oacc;
  89. char *ofm;
  90. ftnint orl;
  91. char *oblnk;
  92. } olist;
  93. /*close*/
  94. typedef struct
  95. { flag cerr;
  96. ftnint cunit;
  97. char *csta;
  98. } cllist;
  99. /*rewind, backspace, endfile*/
  100. typedef struct
  101. { flag aerr;
  102. ftnint aunit;
  103. } alist;
  104. /* inquire */
  105. typedef struct
  106. { flag inerr;
  107. ftnint inunit;
  108. char *infile;
  109. ftnlen infilen;
  110. ftnint *inex; /*parameters in standard's order*/
  111. ftnint *inopen;
  112. ftnint *innum;
  113. ftnint *innamed;
  114. char *inname;
  115. ftnlen innamlen;
  116. char *inacc;
  117. ftnlen inacclen;
  118. char *inseq;
  119. ftnlen inseqlen;
  120. char *indir;
  121. ftnlen indirlen;
  122. char *infmt;
  123. ftnlen infmtlen;
  124. char *inform;
  125. ftnint informlen;
  126. char *inunf;
  127. ftnlen inunflen;
  128. ftnint *inrecl;
  129. ftnint *innrec;
  130. char *inblank;
  131. ftnlen inblanklen;
  132. } inlist;
  133. #define VOID void
  134. union Multitype { /* for multiple entry points */
  135. integer1 g;
  136. shortint h;
  137. integer i;
  138. /* longint j; */
  139. real r;
  140. doublereal d;
  141. complex c;
  142. doublecomplex z;
  143. };
  144. typedef union Multitype Multitype;
  145. struct Vardesc { /* for Namelist */
  146. char *name;
  147. char *addr;
  148. ftnlen *dims;
  149. int type;
  150. };
  151. typedef struct Vardesc Vardesc;
  152. struct Namelist {
  153. char *name;
  154. Vardesc **vars;
  155. int nvars;
  156. };
  157. typedef struct Namelist Namelist;
  158. #define abs(x) ((x) >= 0 ? (x) : -(x))
  159. #define dabs(x) (fabs(x))
  160. #define f2cmin(a,b) ((a) <= (b) ? (a) : (b))
  161. #define f2cmax(a,b) ((a) >= (b) ? (a) : (b))
  162. #define dmin(a,b) (f2cmin(a,b))
  163. #define dmax(a,b) (f2cmax(a,b))
  164. #define bit_test(a,b) ((a) >> (b) & 1)
  165. #define bit_clear(a,b) ((a) & ~((uinteger)1 << (b)))
  166. #define bit_set(a,b) ((a) | ((uinteger)1 << (b)))
  167. #define abort_() { sig_die("Fortran abort routine called", 1); }
  168. #define c_abs(z) (cabsf(Cf(z)))
  169. #define c_cos(R,Z) { pCf(R)=ccos(Cf(Z)); }
  170. #ifdef _MSC_VER
  171. #define c_div(c, a, b) {Cf(c)._Val[0] = (Cf(a)._Val[0]/Cf(b)._Val[0]); Cf(c)._Val[1]=(Cf(a)._Val[1]/Cf(b)._Val[1]);}
  172. #define z_div(c, a, b) {Cd(c)._Val[0] = (Cd(a)._Val[0]/Cd(b)._Val[0]); Cd(c)._Val[1]=(Cd(a)._Val[1]/df(b)._Val[1]);}
  173. #else
  174. #define c_div(c, a, b) {pCf(c) = Cf(a)/Cf(b);}
  175. #define z_div(c, a, b) {pCd(c) = Cd(a)/Cd(b);}
  176. #endif
  177. #define c_exp(R, Z) {pCf(R) = cexpf(Cf(Z));}
  178. #define c_log(R, Z) {pCf(R) = clogf(Cf(Z));}
  179. #define c_sin(R, Z) {pCf(R) = csinf(Cf(Z));}
  180. //#define c_sqrt(R, Z) {*(R) = csqrtf(Cf(Z));}
  181. #define c_sqrt(R, Z) {pCf(R) = csqrtf(Cf(Z));}
  182. #define d_abs(x) (fabs(*(x)))
  183. #define d_acos(x) (acos(*(x)))
  184. #define d_asin(x) (asin(*(x)))
  185. #define d_atan(x) (atan(*(x)))
  186. #define d_atn2(x, y) (atan2(*(x),*(y)))
  187. #define d_cnjg(R, Z) { pCd(R) = conj(Cd(Z)); }
  188. #define r_cnjg(R, Z) { pCf(R) = conjf(Cf(Z)); }
  189. #define d_cos(x) (cos(*(x)))
  190. #define d_cosh(x) (cosh(*(x)))
  191. #define d_dim(__a, __b) ( *(__a) > *(__b) ? *(__a) - *(__b) : 0.0 )
  192. #define d_exp(x) (exp(*(x)))
  193. #define d_imag(z) (cimag(Cd(z)))
  194. #define r_imag(z) (cimagf(Cf(z)))
  195. #define d_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  196. #define r_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  197. #define d_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  198. #define r_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  199. #define d_log(x) (log(*(x)))
  200. #define d_mod(x, y) (fmod(*(x), *(y)))
  201. #define u_nint(__x) ((__x)>=0 ? floor((__x) + .5) : -floor(.5 - (__x)))
  202. #define d_nint(x) u_nint(*(x))
  203. #define u_sign(__a,__b) ((__b) >= 0 ? ((__a) >= 0 ? (__a) : -(__a)) : -((__a) >= 0 ? (__a) : -(__a)))
  204. #define d_sign(a,b) u_sign(*(a),*(b))
  205. #define r_sign(a,b) u_sign(*(a),*(b))
  206. #define d_sin(x) (sin(*(x)))
  207. #define d_sinh(x) (sinh(*(x)))
  208. #define d_sqrt(x) (sqrt(*(x)))
  209. #define d_tan(x) (tan(*(x)))
  210. #define d_tanh(x) (tanh(*(x)))
  211. #define i_abs(x) abs(*(x))
  212. #define i_dnnt(x) ((integer)u_nint(*(x)))
  213. #define i_len(s, n) (n)
  214. #define i_nint(x) ((integer)u_nint(*(x)))
  215. #define i_sign(a,b) ((integer)u_sign((integer)*(a),(integer)*(b)))
  216. #define pow_dd(ap, bp) ( pow(*(ap), *(bp)))
  217. #define pow_si(B,E) spow_ui(*(B),*(E))
  218. #define pow_ri(B,E) spow_ui(*(B),*(E))
  219. #define pow_di(B,E) dpow_ui(*(B),*(E))
  220. #define pow_zi(p, a, b) {pCd(p) = zpow_ui(Cd(a), *(b));}
  221. #define pow_ci(p, a, b) {pCf(p) = cpow_ui(Cf(a), *(b));}
  222. #define pow_zz(R,A,B) {pCd(R) = cpow(Cd(A),*(B));}
  223. #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++ = ' '; }
  224. #define s_cmp(a,b,c,d) ((integer)strncmp((a),(b),f2cmin((c),(d))))
  225. #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]; }
  226. #define sig_die(s, kill) { exit(1); }
  227. #define s_stop(s, n) {exit(0);}
  228. static char junk[] = "\n@(#)LIBF77 VERSION 19990503\n";
  229. #define z_abs(z) (cabs(Cd(z)))
  230. #define z_exp(R, Z) {pCd(R) = cexp(Cd(Z));}
  231. #define z_sqrt(R, Z) {pCd(R) = csqrt(Cd(Z));}
  232. #define myexit_() break;
  233. #define mycycle() continue;
  234. #define myceiling(w) {ceil(w)}
  235. #define myhuge(w) {HUGE_VAL}
  236. //#define mymaxloc_(w,s,e,n) {if (sizeof(*(w)) == sizeof(double)) dmaxloc_((w),*(s),*(e),n); else dmaxloc_((w),*(s),*(e),n);}
  237. #define mymaxloc(w,s,e,n) {dmaxloc_(w,*(s),*(e),n)}
  238. /* procedure parameter types for -A and -C++ */
  239. #ifdef __cplusplus
  240. typedef logical (*L_fp)(...);
  241. #else
  242. typedef logical (*L_fp)();
  243. #endif
  244. static float spow_ui(float x, integer n) {
  245. float pow=1.0; unsigned long int u;
  246. if(n != 0) {
  247. if(n < 0) n = -n, x = 1/x;
  248. for(u = n; ; ) {
  249. if(u & 01) pow *= x;
  250. if(u >>= 1) x *= x;
  251. else break;
  252. }
  253. }
  254. return pow;
  255. }
  256. static double dpow_ui(double x, integer n) {
  257. double pow=1.0; unsigned long int u;
  258. if(n != 0) {
  259. if(n < 0) n = -n, x = 1/x;
  260. for(u = n; ; ) {
  261. if(u & 01) pow *= x;
  262. if(u >>= 1) x *= x;
  263. else break;
  264. }
  265. }
  266. return pow;
  267. }
  268. #ifdef _MSC_VER
  269. static _Fcomplex cpow_ui(complex x, integer n) {
  270. complex pow={1.0,0.0}; unsigned long int u;
  271. if(n != 0) {
  272. if(n < 0) n = -n, x.r = 1/x.r, x.i=1/x.i;
  273. for(u = n; ; ) {
  274. if(u & 01) pow.r *= x.r, pow.i *= x.i;
  275. if(u >>= 1) x.r *= x.r, x.i *= x.i;
  276. else break;
  277. }
  278. }
  279. _Fcomplex p={pow.r, pow.i};
  280. return p;
  281. }
  282. #else
  283. static _Complex float cpow_ui(_Complex float x, integer n) {
  284. _Complex float pow=1.0; unsigned long int u;
  285. if(n != 0) {
  286. if(n < 0) n = -n, x = 1/x;
  287. for(u = n; ; ) {
  288. if(u & 01) pow *= x;
  289. if(u >>= 1) x *= x;
  290. else break;
  291. }
  292. }
  293. return pow;
  294. }
  295. #endif
  296. #ifdef _MSC_VER
  297. static _Dcomplex zpow_ui(_Dcomplex x, integer n) {
  298. _Dcomplex pow={1.0,0.0}; unsigned long int u;
  299. if(n != 0) {
  300. if(n < 0) n = -n, x._Val[0] = 1/x._Val[0], x._Val[1] =1/x._Val[1];
  301. for(u = n; ; ) {
  302. if(u & 01) pow._Val[0] *= x._Val[0], pow._Val[1] *= x._Val[1];
  303. if(u >>= 1) x._Val[0] *= x._Val[0], x._Val[1] *= x._Val[1];
  304. else break;
  305. }
  306. }
  307. _Dcomplex p = {pow._Val[0], pow._Val[1]};
  308. return p;
  309. }
  310. #else
  311. static _Complex double zpow_ui(_Complex double x, integer n) {
  312. _Complex double pow=1.0; unsigned long int u;
  313. if(n != 0) {
  314. if(n < 0) n = -n, x = 1/x;
  315. for(u = n; ; ) {
  316. if(u & 01) pow *= x;
  317. if(u >>= 1) x *= x;
  318. else break;
  319. }
  320. }
  321. return pow;
  322. }
  323. #endif
  324. static integer pow_ii(integer x, integer n) {
  325. integer pow; unsigned long int u;
  326. if (n <= 0) {
  327. if (n == 0 || x == 1) pow = 1;
  328. else if (x != -1) pow = x == 0 ? 1/x : 0;
  329. else n = -n;
  330. }
  331. if ((n > 0) || !(n == 0 || x == 1 || x != -1)) {
  332. u = n;
  333. for(pow = 1; ; ) {
  334. if(u & 01) pow *= x;
  335. if(u >>= 1) x *= x;
  336. else break;
  337. }
  338. }
  339. return pow;
  340. }
  341. static integer dmaxloc_(double *w, integer s, integer e, integer *n)
  342. {
  343. double m; integer i, mi;
  344. for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
  345. if (w[i-1]>m) mi=i ,m=w[i-1];
  346. return mi-s+1;
  347. }
  348. static integer smaxloc_(float *w, integer s, integer e, integer *n)
  349. {
  350. float m; integer i, mi;
  351. for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
  352. if (w[i-1]>m) mi=i ,m=w[i-1];
  353. return mi-s+1;
  354. }
  355. static inline void cdotc_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
  356. integer n = *n_, incx = *incx_, incy = *incy_, i;
  357. #ifdef _MSC_VER
  358. _Fcomplex zdotc = {0.0, 0.0};
  359. if (incx == 1 && incy == 1) {
  360. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  361. zdotc._Val[0] += conjf(Cf(&x[i]))._Val[0] * Cf(&y[i])._Val[0];
  362. zdotc._Val[1] += conjf(Cf(&x[i]))._Val[1] * Cf(&y[i])._Val[1];
  363. }
  364. } else {
  365. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  366. zdotc._Val[0] += conjf(Cf(&x[i*incx]))._Val[0] * Cf(&y[i*incy])._Val[0];
  367. zdotc._Val[1] += conjf(Cf(&x[i*incx]))._Val[1] * Cf(&y[i*incy])._Val[1];
  368. }
  369. }
  370. pCf(z) = zdotc;
  371. }
  372. #else
  373. _Complex float zdotc = 0.0;
  374. if (incx == 1 && incy == 1) {
  375. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  376. zdotc += conjf(Cf(&x[i])) * Cf(&y[i]);
  377. }
  378. } else {
  379. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  380. zdotc += conjf(Cf(&x[i*incx])) * Cf(&y[i*incy]);
  381. }
  382. }
  383. pCf(z) = zdotc;
  384. }
  385. #endif
  386. static inline void zdotc_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
  387. integer n = *n_, incx = *incx_, incy = *incy_, i;
  388. #ifdef _MSC_VER
  389. _Dcomplex zdotc = {0.0, 0.0};
  390. if (incx == 1 && incy == 1) {
  391. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  392. zdotc._Val[0] += conj(Cd(&x[i]))._Val[0] * Cd(&y[i])._Val[0];
  393. zdotc._Val[1] += conj(Cd(&x[i]))._Val[1] * Cd(&y[i])._Val[1];
  394. }
  395. } else {
  396. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  397. zdotc._Val[0] += conj(Cd(&x[i*incx]))._Val[0] * Cd(&y[i*incy])._Val[0];
  398. zdotc._Val[1] += conj(Cd(&x[i*incx]))._Val[1] * Cd(&y[i*incy])._Val[1];
  399. }
  400. }
  401. pCd(z) = zdotc;
  402. }
  403. #else
  404. _Complex double zdotc = 0.0;
  405. if (incx == 1 && incy == 1) {
  406. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  407. zdotc += conj(Cd(&x[i])) * Cd(&y[i]);
  408. }
  409. } else {
  410. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  411. zdotc += conj(Cd(&x[i*incx])) * Cd(&y[i*incy]);
  412. }
  413. }
  414. pCd(z) = zdotc;
  415. }
  416. #endif
  417. static inline void cdotu_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
  418. integer n = *n_, incx = *incx_, incy = *incy_, i;
  419. #ifdef _MSC_VER
  420. _Fcomplex zdotc = {0.0, 0.0};
  421. if (incx == 1 && incy == 1) {
  422. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  423. zdotc._Val[0] += Cf(&x[i])._Val[0] * Cf(&y[i])._Val[0];
  424. zdotc._Val[1] += Cf(&x[i])._Val[1] * Cf(&y[i])._Val[1];
  425. }
  426. } else {
  427. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  428. zdotc._Val[0] += Cf(&x[i*incx])._Val[0] * Cf(&y[i*incy])._Val[0];
  429. zdotc._Val[1] += Cf(&x[i*incx])._Val[1] * Cf(&y[i*incy])._Val[1];
  430. }
  431. }
  432. pCf(z) = zdotc;
  433. }
  434. #else
  435. _Complex float zdotc = 0.0;
  436. if (incx == 1 && incy == 1) {
  437. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  438. zdotc += Cf(&x[i]) * Cf(&y[i]);
  439. }
  440. } else {
  441. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  442. zdotc += Cf(&x[i*incx]) * Cf(&y[i*incy]);
  443. }
  444. }
  445. pCf(z) = zdotc;
  446. }
  447. #endif
  448. static inline void zdotu_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
  449. integer n = *n_, incx = *incx_, incy = *incy_, i;
  450. #ifdef _MSC_VER
  451. _Dcomplex zdotc = {0.0, 0.0};
  452. if (incx == 1 && incy == 1) {
  453. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  454. zdotc._Val[0] += Cd(&x[i])._Val[0] * Cd(&y[i])._Val[0];
  455. zdotc._Val[1] += Cd(&x[i])._Val[1] * Cd(&y[i])._Val[1];
  456. }
  457. } else {
  458. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  459. zdotc._Val[0] += Cd(&x[i*incx])._Val[0] * Cd(&y[i*incy])._Val[0];
  460. zdotc._Val[1] += Cd(&x[i*incx])._Val[1] * Cd(&y[i*incy])._Val[1];
  461. }
  462. }
  463. pCd(z) = zdotc;
  464. }
  465. #else
  466. _Complex double zdotc = 0.0;
  467. if (incx == 1 && incy == 1) {
  468. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  469. zdotc += Cd(&x[i]) * Cd(&y[i]);
  470. }
  471. } else {
  472. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  473. zdotc += Cd(&x[i*incx]) * Cd(&y[i*incy]);
  474. }
  475. }
  476. pCd(z) = zdotc;
  477. }
  478. #endif
  479. /* -- translated by f2c (version 20000121).
  480. You must link the resulting object file with the libraries:
  481. -lf2c -lm (in that order)
  482. */
  483. /* Table of constant values */
  484. static doublereal c_b23 = -1.;
  485. static doublereal c_b27 = 1.;
  486. /* > \brief \b DTFSM solves a matrix equation (one operand is a triangular matrix in RFP format). */
  487. /* =========== DOCUMENTATION =========== */
  488. /* Online html documentation available at */
  489. /* http://www.netlib.org/lapack/explore-html/ */
  490. /* > \htmlonly */
  491. /* > Download DTFSM + dependencies */
  492. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dtfsm.f
  493. "> */
  494. /* > [TGZ]</a> */
  495. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dtfsm.f
  496. "> */
  497. /* > [ZIP]</a> */
  498. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dtfsm.f
  499. "> */
  500. /* > [TXT]</a> */
  501. /* > \endhtmlonly */
  502. /* Definition: */
  503. /* =========== */
  504. /* SUBROUTINE DTFSM( TRANSR, SIDE, UPLO, TRANS, DIAG, M, N, ALPHA, A, */
  505. /* B, LDB ) */
  506. /* CHARACTER TRANSR, DIAG, SIDE, TRANS, UPLO */
  507. /* INTEGER LDB, M, N */
  508. /* DOUBLE PRECISION ALPHA */
  509. /* DOUBLE PRECISION A( 0: * ), B( 0: LDB-1, 0: * ) */
  510. /* > \par Purpose: */
  511. /* ============= */
  512. /* > */
  513. /* > \verbatim */
  514. /* > */
  515. /* > Level 3 BLAS like routine for A in RFP Format. */
  516. /* > */
  517. /* > DTFSM solves the matrix equation */
  518. /* > */
  519. /* > op( A )*X = alpha*B or X*op( A ) = alpha*B */
  520. /* > */
  521. /* > where alpha is a scalar, X and B are m by n matrices, A is a unit, or */
  522. /* > non-unit, upper or lower triangular matrix and op( A ) is one of */
  523. /* > */
  524. /* > op( A ) = A or op( A ) = A**T. */
  525. /* > */
  526. /* > A is in Rectangular Full Packed (RFP) Format. */
  527. /* > */
  528. /* > The matrix X is overwritten on B. */
  529. /* > \endverbatim */
  530. /* Arguments: */
  531. /* ========== */
  532. /* > \param[in] TRANSR */
  533. /* > \verbatim */
  534. /* > TRANSR is CHARACTER*1 */
  535. /* > = 'N': The Normal Form of RFP A is stored; */
  536. /* > = 'T': The Transpose Form of RFP A is stored. */
  537. /* > \endverbatim */
  538. /* > */
  539. /* > \param[in] SIDE */
  540. /* > \verbatim */
  541. /* > SIDE is CHARACTER*1 */
  542. /* > On entry, SIDE specifies whether op( A ) appears on the left */
  543. /* > or right of X as follows: */
  544. /* > */
  545. /* > SIDE = 'L' or 'l' op( A )*X = alpha*B. */
  546. /* > */
  547. /* > SIDE = 'R' or 'r' X*op( A ) = alpha*B. */
  548. /* > */
  549. /* > Unchanged on exit. */
  550. /* > \endverbatim */
  551. /* > */
  552. /* > \param[in] UPLO */
  553. /* > \verbatim */
  554. /* > UPLO is CHARACTER*1 */
  555. /* > On entry, UPLO specifies whether the RFP matrix A came from */
  556. /* > an upper or lower triangular matrix as follows: */
  557. /* > UPLO = 'U' or 'u' RFP A came from an upper triangular matrix */
  558. /* > UPLO = 'L' or 'l' RFP A came from a lower triangular matrix */
  559. /* > */
  560. /* > Unchanged on exit. */
  561. /* > \endverbatim */
  562. /* > */
  563. /* > \param[in] TRANS */
  564. /* > \verbatim */
  565. /* > TRANS is CHARACTER*1 */
  566. /* > On entry, TRANS specifies the form of op( A ) to be used */
  567. /* > in the matrix multiplication as follows: */
  568. /* > */
  569. /* > TRANS = 'N' or 'n' op( A ) = A. */
  570. /* > */
  571. /* > TRANS = 'T' or 't' op( A ) = A'. */
  572. /* > */
  573. /* > Unchanged on exit. */
  574. /* > \endverbatim */
  575. /* > */
  576. /* > \param[in] DIAG */
  577. /* > \verbatim */
  578. /* > DIAG is CHARACTER*1 */
  579. /* > On entry, DIAG specifies whether or not RFP A is unit */
  580. /* > triangular as follows: */
  581. /* > */
  582. /* > DIAG = 'U' or 'u' A is assumed to be unit triangular. */
  583. /* > */
  584. /* > DIAG = 'N' or 'n' A is not assumed to be unit */
  585. /* > triangular. */
  586. /* > */
  587. /* > Unchanged on exit. */
  588. /* > \endverbatim */
  589. /* > */
  590. /* > \param[in] M */
  591. /* > \verbatim */
  592. /* > M is INTEGER */
  593. /* > On entry, M specifies the number of rows of B. M must be at */
  594. /* > least zero. */
  595. /* > Unchanged on exit. */
  596. /* > \endverbatim */
  597. /* > */
  598. /* > \param[in] N */
  599. /* > \verbatim */
  600. /* > N is INTEGER */
  601. /* > On entry, N specifies the number of columns of B. N must be */
  602. /* > at least zero. */
  603. /* > Unchanged on exit. */
  604. /* > \endverbatim */
  605. /* > */
  606. /* > \param[in] ALPHA */
  607. /* > \verbatim */
  608. /* > ALPHA is DOUBLE PRECISION */
  609. /* > On entry, ALPHA specifies the scalar alpha. When alpha is */
  610. /* > zero then A is not referenced and B need not be set before */
  611. /* > entry. */
  612. /* > Unchanged on exit. */
  613. /* > \endverbatim */
  614. /* > */
  615. /* > \param[in] A */
  616. /* > \verbatim */
  617. /* > A is DOUBLE PRECISION array, dimension (NT) */
  618. /* > NT = N*(N+1)/2. On entry, the matrix A in RFP Format. */
  619. /* > RFP Format is described by TRANSR, UPLO and N as follows: */
  620. /* > If TRANSR='N' then RFP A is (0:N,0:K-1) when N is even; */
  621. /* > K=N/2. RFP A is (0:N-1,0:K) when N is odd; K=N/2. If */
  622. /* > TRANSR = 'T' then RFP is the transpose of RFP A as */
  623. /* > defined when TRANSR = 'N'. The contents of RFP A are defined */
  624. /* > by UPLO as follows: If UPLO = 'U' the RFP A contains the NT */
  625. /* > elements of upper packed A either in normal or */
  626. /* > transpose Format. If UPLO = 'L' the RFP A contains */
  627. /* > the NT elements of lower packed A either in normal or */
  628. /* > transpose Format. The LDA of RFP A is (N+1)/2 when */
  629. /* > TRANSR = 'T'. When TRANSR is 'N' the LDA is N+1 when N is */
  630. /* > even and is N when is odd. */
  631. /* > See the Note below for more details. Unchanged on exit. */
  632. /* > \endverbatim */
  633. /* > */
  634. /* > \param[in,out] B */
  635. /* > \verbatim */
  636. /* > B is DOUBLE PRECISION array, dimension (LDB,N) */
  637. /* > Before entry, the leading m by n part of the array B must */
  638. /* > contain the right-hand side matrix B, and on exit is */
  639. /* > overwritten by the solution matrix X. */
  640. /* > \endverbatim */
  641. /* > */
  642. /* > \param[in] LDB */
  643. /* > \verbatim */
  644. /* > LDB is INTEGER */
  645. /* > On entry, LDB specifies the first dimension of B as declared */
  646. /* > in the calling (sub) program. LDB must be at least */
  647. /* > f2cmax( 1, m ). */
  648. /* > Unchanged on exit. */
  649. /* > \endverbatim */
  650. /* Authors: */
  651. /* ======== */
  652. /* > \author Univ. of Tennessee */
  653. /* > \author Univ. of California Berkeley */
  654. /* > \author Univ. of Colorado Denver */
  655. /* > \author NAG Ltd. */
  656. /* > \date December 2016 */
  657. /* > \ingroup doubleOTHERcomputational */
  658. /* > \par Further Details: */
  659. /* ===================== */
  660. /* > */
  661. /* > \verbatim */
  662. /* > */
  663. /* > We first consider Rectangular Full Packed (RFP) Format when N is */
  664. /* > even. We give an example where N = 6. */
  665. /* > */
  666. /* > AP is Upper AP is Lower */
  667. /* > */
  668. /* > 00 01 02 03 04 05 00 */
  669. /* > 11 12 13 14 15 10 11 */
  670. /* > 22 23 24 25 20 21 22 */
  671. /* > 33 34 35 30 31 32 33 */
  672. /* > 44 45 40 41 42 43 44 */
  673. /* > 55 50 51 52 53 54 55 */
  674. /* > */
  675. /* > */
  676. /* > Let TRANSR = 'N'. RFP holds AP as follows: */
  677. /* > For UPLO = 'U' the upper trapezoid A(0:5,0:2) consists of the last */
  678. /* > three columns of AP upper. The lower triangle A(4:6,0:2) consists of */
  679. /* > the transpose of the first three columns of AP upper. */
  680. /* > For UPLO = 'L' the lower trapezoid A(1:6,0:2) consists of the first */
  681. /* > three columns of AP lower. The upper triangle A(0:2,0:2) consists of */
  682. /* > the transpose of the last three columns of AP lower. */
  683. /* > This covers the case N even and TRANSR = 'N'. */
  684. /* > */
  685. /* > RFP A RFP A */
  686. /* > */
  687. /* > 03 04 05 33 43 53 */
  688. /* > 13 14 15 00 44 54 */
  689. /* > 23 24 25 10 11 55 */
  690. /* > 33 34 35 20 21 22 */
  691. /* > 00 44 45 30 31 32 */
  692. /* > 01 11 55 40 41 42 */
  693. /* > 02 12 22 50 51 52 */
  694. /* > */
  695. /* > Now let TRANSR = 'T'. RFP A in both UPLO cases is just the */
  696. /* > transpose of RFP A above. One therefore gets: */
  697. /* > */
  698. /* > */
  699. /* > RFP A RFP A */
  700. /* > */
  701. /* > 03 13 23 33 00 01 02 33 00 10 20 30 40 50 */
  702. /* > 04 14 24 34 44 11 12 43 44 11 21 31 41 51 */
  703. /* > 05 15 25 35 45 55 22 53 54 55 22 32 42 52 */
  704. /* > */
  705. /* > */
  706. /* > We then consider Rectangular Full Packed (RFP) Format when N is */
  707. /* > odd. We give an example where N = 5. */
  708. /* > */
  709. /* > AP is Upper AP is Lower */
  710. /* > */
  711. /* > 00 01 02 03 04 00 */
  712. /* > 11 12 13 14 10 11 */
  713. /* > 22 23 24 20 21 22 */
  714. /* > 33 34 30 31 32 33 */
  715. /* > 44 40 41 42 43 44 */
  716. /* > */
  717. /* > */
  718. /* > Let TRANSR = 'N'. RFP holds AP as follows: */
  719. /* > For UPLO = 'U' the upper trapezoid A(0:4,0:2) consists of the last */
  720. /* > three columns of AP upper. The lower triangle A(3:4,0:1) consists of */
  721. /* > the transpose of the first two columns of AP upper. */
  722. /* > For UPLO = 'L' the lower trapezoid A(0:4,0:2) consists of the first */
  723. /* > three columns of AP lower. The upper triangle A(0:1,1:2) consists of */
  724. /* > the transpose of the last two columns of AP lower. */
  725. /* > This covers the case N odd and TRANSR = 'N'. */
  726. /* > */
  727. /* > RFP A RFP A */
  728. /* > */
  729. /* > 02 03 04 00 33 43 */
  730. /* > 12 13 14 10 11 44 */
  731. /* > 22 23 24 20 21 22 */
  732. /* > 00 33 34 30 31 32 */
  733. /* > 01 11 44 40 41 42 */
  734. /* > */
  735. /* > Now let TRANSR = 'T'. RFP A in both UPLO cases is just the */
  736. /* > transpose of RFP A above. One therefore gets: */
  737. /* > */
  738. /* > RFP A RFP A */
  739. /* > */
  740. /* > 02 12 22 00 01 00 10 20 30 40 50 */
  741. /* > 03 13 23 33 11 33 11 21 31 41 51 */
  742. /* > 04 14 24 34 44 43 44 22 32 42 52 */
  743. /* > \endverbatim */
  744. /* ===================================================================== */
  745. /* Subroutine */ void dtfsm_(char *transr, char *side, char *uplo, char *trans,
  746. char *diag, integer *m, integer *n, doublereal *alpha, doublereal *a,
  747. doublereal *b, integer *ldb)
  748. {
  749. /* System generated locals */
  750. integer b_dim1, b_offset, i__1, i__2;
  751. /* Local variables */
  752. integer info, i__, j, k;
  753. logical normaltransr;
  754. extern /* Subroutine */ void dgemm_(char *, char *, integer *, integer *,
  755. integer *, doublereal *, doublereal *, integer *, doublereal *,
  756. integer *, doublereal *, doublereal *, integer *);
  757. logical lside;
  758. extern logical lsame_(char *, char *);
  759. logical lower;
  760. extern /* Subroutine */ void dtrsm_(char *, char *, char *, char *,
  761. integer *, integer *, doublereal *, doublereal *, integer *,
  762. doublereal *, integer *);
  763. integer m1, m2, n1, n2;
  764. extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
  765. logical misodd, nisodd, notrans;
  766. /* -- LAPACK computational routine (version 3.7.0) -- */
  767. /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
  768. /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  769. /* December 2016 */
  770. /* ===================================================================== */
  771. /* Test the input parameters. */
  772. /* Parameter adjustments */
  773. b_dim1 = *ldb - 1 - 0 + 1;
  774. b_offset = 0 + b_dim1 * 0;
  775. b -= b_offset;
  776. /* Function Body */
  777. info = 0;
  778. normaltransr = lsame_(transr, "N");
  779. lside = lsame_(side, "L");
  780. lower = lsame_(uplo, "L");
  781. notrans = lsame_(trans, "N");
  782. if (! normaltransr && ! lsame_(transr, "T")) {
  783. info = -1;
  784. } else if (! lside && ! lsame_(side, "R")) {
  785. info = -2;
  786. } else if (! lower && ! lsame_(uplo, "U")) {
  787. info = -3;
  788. } else if (! notrans && ! lsame_(trans, "T")) {
  789. info = -4;
  790. } else if (! lsame_(diag, "N") && ! lsame_(diag,
  791. "U")) {
  792. info = -5;
  793. } else if (*m < 0) {
  794. info = -6;
  795. } else if (*n < 0) {
  796. info = -7;
  797. } else if (*ldb < f2cmax(1,*m)) {
  798. info = -11;
  799. }
  800. if (info != 0) {
  801. i__1 = -info;
  802. xerbla_("DTFSM ", &i__1, (ftnlen)6);
  803. return;
  804. }
  805. /* Quick return when ( (N.EQ.0).OR.(M.EQ.0) ) */
  806. if (*m == 0 || *n == 0) {
  807. return;
  808. }
  809. /* Quick return when ALPHA.EQ.(0D+0) */
  810. if (*alpha == 0.) {
  811. i__1 = *n - 1;
  812. for (j = 0; j <= i__1; ++j) {
  813. i__2 = *m - 1;
  814. for (i__ = 0; i__ <= i__2; ++i__) {
  815. b[i__ + j * b_dim1] = 0.;
  816. /* L10: */
  817. }
  818. /* L20: */
  819. }
  820. return;
  821. }
  822. if (lside) {
  823. /* SIDE = 'L' */
  824. /* A is M-by-M. */
  825. /* If M is odd, set NISODD = .TRUE., and M1 and M2. */
  826. /* If M is even, NISODD = .FALSE., and M. */
  827. if (*m % 2 == 0) {
  828. misodd = FALSE_;
  829. k = *m / 2;
  830. } else {
  831. misodd = TRUE_;
  832. if (lower) {
  833. m2 = *m / 2;
  834. m1 = *m - m2;
  835. } else {
  836. m1 = *m / 2;
  837. m2 = *m - m1;
  838. }
  839. }
  840. if (misodd) {
  841. /* SIDE = 'L' and N is odd */
  842. if (normaltransr) {
  843. /* SIDE = 'L', N is odd, and TRANSR = 'N' */
  844. if (lower) {
  845. /* SIDE ='L', N is odd, TRANSR = 'N', and UPLO = 'L' */
  846. if (notrans) {
  847. /* SIDE ='L', N is odd, TRANSR = 'N', UPLO = 'L', and */
  848. /* TRANS = 'N' */
  849. if (*m == 1) {
  850. dtrsm_("L", "L", "N", diag, &m1, n, alpha, a, m, &
  851. b[b_offset], ldb);
  852. } else {
  853. dtrsm_("L", "L", "N", diag, &m1, n, alpha, a, m, &
  854. b[b_offset], ldb);
  855. dgemm_("N", "N", &m2, n, &m1, &c_b23, &a[m1], m, &
  856. b[b_offset], ldb, alpha, &b[m1], ldb);
  857. dtrsm_("L", "U", "T", diag, &m2, n, &c_b27, &a[*m]
  858. , m, &b[m1], ldb);
  859. }
  860. } else {
  861. /* SIDE ='L', N is odd, TRANSR = 'N', UPLO = 'L', and */
  862. /* TRANS = 'T' */
  863. if (*m == 1) {
  864. dtrsm_("L", "L", "T", diag, &m1, n, alpha, a, m, &
  865. b[b_offset], ldb);
  866. } else {
  867. dtrsm_("L", "U", "N", diag, &m2, n, alpha, &a[*m],
  868. m, &b[m1], ldb);
  869. dgemm_("T", "N", &m1, n, &m2, &c_b23, &a[m1], m, &
  870. b[m1], ldb, alpha, &b[b_offset], ldb);
  871. dtrsm_("L", "L", "T", diag, &m1, n, &c_b27, a, m,
  872. &b[b_offset], ldb);
  873. }
  874. }
  875. } else {
  876. /* SIDE ='L', N is odd, TRANSR = 'N', and UPLO = 'U' */
  877. if (! notrans) {
  878. /* SIDE ='L', N is odd, TRANSR = 'N', UPLO = 'U', and */
  879. /* TRANS = 'N' */
  880. dtrsm_("L", "L", "N", diag, &m1, n, alpha, &a[m2], m,
  881. &b[b_offset], ldb);
  882. dgemm_("T", "N", &m2, n, &m1, &c_b23, a, m, &b[
  883. b_offset], ldb, alpha, &b[m1], ldb);
  884. dtrsm_("L", "U", "T", diag, &m2, n, &c_b27, &a[m1], m,
  885. &b[m1], ldb);
  886. } else {
  887. /* SIDE ='L', N is odd, TRANSR = 'N', UPLO = 'U', and */
  888. /* TRANS = 'T' */
  889. dtrsm_("L", "U", "N", diag, &m2, n, alpha, &a[m1], m,
  890. &b[m1], ldb);
  891. dgemm_("N", "N", &m1, n, &m2, &c_b23, a, m, &b[m1],
  892. ldb, alpha, &b[b_offset], ldb);
  893. dtrsm_("L", "L", "T", diag, &m1, n, &c_b27, &a[m2], m,
  894. &b[b_offset], ldb);
  895. }
  896. }
  897. } else {
  898. /* SIDE = 'L', N is odd, and TRANSR = 'T' */
  899. if (lower) {
  900. /* SIDE ='L', N is odd, TRANSR = 'T', and UPLO = 'L' */
  901. if (notrans) {
  902. /* SIDE ='L', N is odd, TRANSR = 'T', UPLO = 'L', and */
  903. /* TRANS = 'N' */
  904. if (*m == 1) {
  905. dtrsm_("L", "U", "T", diag, &m1, n, alpha, a, &m1,
  906. &b[b_offset], ldb);
  907. } else {
  908. dtrsm_("L", "U", "T", diag, &m1, n, alpha, a, &m1,
  909. &b[b_offset], ldb);
  910. dgemm_("T", "N", &m2, n, &m1, &c_b23, &a[m1 * m1],
  911. &m1, &b[b_offset], ldb, alpha, &b[m1],
  912. ldb);
  913. dtrsm_("L", "L", "N", diag, &m2, n, &c_b27, &a[1],
  914. &m1, &b[m1], ldb);
  915. }
  916. } else {
  917. /* SIDE ='L', N is odd, TRANSR = 'T', UPLO = 'L', and */
  918. /* TRANS = 'T' */
  919. if (*m == 1) {
  920. dtrsm_("L", "U", "N", diag, &m1, n, alpha, a, &m1,
  921. &b[b_offset], ldb);
  922. } else {
  923. dtrsm_("L", "L", "T", diag, &m2, n, alpha, &a[1],
  924. &m1, &b[m1], ldb);
  925. dgemm_("N", "N", &m1, n, &m2, &c_b23, &a[m1 * m1],
  926. &m1, &b[m1], ldb, alpha, &b[b_offset],
  927. ldb);
  928. dtrsm_("L", "U", "N", diag, &m1, n, &c_b27, a, &
  929. m1, &b[b_offset], ldb);
  930. }
  931. }
  932. } else {
  933. /* SIDE ='L', N is odd, TRANSR = 'T', and UPLO = 'U' */
  934. if (! notrans) {
  935. /* SIDE ='L', N is odd, TRANSR = 'T', UPLO = 'U', and */
  936. /* TRANS = 'N' */
  937. dtrsm_("L", "U", "T", diag, &m1, n, alpha, &a[m2 * m2]
  938. , &m2, &b[b_offset], ldb);
  939. dgemm_("N", "N", &m2, n, &m1, &c_b23, a, &m2, &b[
  940. b_offset], ldb, alpha, &b[m1], ldb);
  941. dtrsm_("L", "L", "N", diag, &m2, n, &c_b27, &a[m1 *
  942. m2], &m2, &b[m1], ldb);
  943. } else {
  944. /* SIDE ='L', N is odd, TRANSR = 'T', UPLO = 'U', and */
  945. /* TRANS = 'T' */
  946. dtrsm_("L", "L", "T", diag, &m2, n, alpha, &a[m1 * m2]
  947. , &m2, &b[m1], ldb);
  948. dgemm_("T", "N", &m1, n, &m2, &c_b23, a, &m2, &b[m1],
  949. ldb, alpha, &b[b_offset], ldb);
  950. dtrsm_("L", "U", "N", diag, &m1, n, &c_b27, &a[m2 *
  951. m2], &m2, &b[b_offset], ldb);
  952. }
  953. }
  954. }
  955. } else {
  956. /* SIDE = 'L' and N is even */
  957. if (normaltransr) {
  958. /* SIDE = 'L', N is even, and TRANSR = 'N' */
  959. if (lower) {
  960. /* SIDE ='L', N is even, TRANSR = 'N', and UPLO = 'L' */
  961. if (notrans) {
  962. /* SIDE ='L', N is even, TRANSR = 'N', UPLO = 'L', */
  963. /* and TRANS = 'N' */
  964. i__1 = *m + 1;
  965. dtrsm_("L", "L", "N", diag, &k, n, alpha, &a[1], &
  966. i__1, &b[b_offset], ldb);
  967. i__1 = *m + 1;
  968. dgemm_("N", "N", &k, n, &k, &c_b23, &a[k + 1], &i__1,
  969. &b[b_offset], ldb, alpha, &b[k], ldb);
  970. i__1 = *m + 1;
  971. dtrsm_("L", "U", "T", diag, &k, n, &c_b27, a, &i__1, &
  972. b[k], ldb);
  973. } else {
  974. /* SIDE ='L', N is even, TRANSR = 'N', UPLO = 'L', */
  975. /* and TRANS = 'T' */
  976. i__1 = *m + 1;
  977. dtrsm_("L", "U", "N", diag, &k, n, alpha, a, &i__1, &
  978. b[k], ldb);
  979. i__1 = *m + 1;
  980. dgemm_("T", "N", &k, n, &k, &c_b23, &a[k + 1], &i__1,
  981. &b[k], ldb, alpha, &b[b_offset], ldb);
  982. i__1 = *m + 1;
  983. dtrsm_("L", "L", "T", diag, &k, n, &c_b27, &a[1], &
  984. i__1, &b[b_offset], ldb);
  985. }
  986. } else {
  987. /* SIDE ='L', N is even, TRANSR = 'N', and UPLO = 'U' */
  988. if (! notrans) {
  989. /* SIDE ='L', N is even, TRANSR = 'N', UPLO = 'U', */
  990. /* and TRANS = 'N' */
  991. i__1 = *m + 1;
  992. dtrsm_("L", "L", "N", diag, &k, n, alpha, &a[k + 1], &
  993. i__1, &b[b_offset], ldb);
  994. i__1 = *m + 1;
  995. dgemm_("T", "N", &k, n, &k, &c_b23, a, &i__1, &b[
  996. b_offset], ldb, alpha, &b[k], ldb);
  997. i__1 = *m + 1;
  998. dtrsm_("L", "U", "T", diag, &k, n, &c_b27, &a[k], &
  999. i__1, &b[k], ldb);
  1000. } else {
  1001. /* SIDE ='L', N is even, TRANSR = 'N', UPLO = 'U', */
  1002. /* and TRANS = 'T' */
  1003. i__1 = *m + 1;
  1004. dtrsm_("L", "U", "N", diag, &k, n, alpha, &a[k], &
  1005. i__1, &b[k], ldb);
  1006. i__1 = *m + 1;
  1007. dgemm_("N", "N", &k, n, &k, &c_b23, a, &i__1, &b[k],
  1008. ldb, alpha, &b[b_offset], ldb);
  1009. i__1 = *m + 1;
  1010. dtrsm_("L", "L", "T", diag, &k, n, &c_b27, &a[k + 1],
  1011. &i__1, &b[b_offset], ldb);
  1012. }
  1013. }
  1014. } else {
  1015. /* SIDE = 'L', N is even, and TRANSR = 'T' */
  1016. if (lower) {
  1017. /* SIDE ='L', N is even, TRANSR = 'T', and UPLO = 'L' */
  1018. if (notrans) {
  1019. /* SIDE ='L', N is even, TRANSR = 'T', UPLO = 'L', */
  1020. /* and TRANS = 'N' */
  1021. dtrsm_("L", "U", "T", diag, &k, n, alpha, &a[k], &k, &
  1022. b[b_offset], ldb);
  1023. dgemm_("T", "N", &k, n, &k, &c_b23, &a[k * (k + 1)], &
  1024. k, &b[b_offset], ldb, alpha, &b[k], ldb);
  1025. dtrsm_("L", "L", "N", diag, &k, n, &c_b27, a, &k, &b[
  1026. k], ldb);
  1027. } else {
  1028. /* SIDE ='L', N is even, TRANSR = 'T', UPLO = 'L', */
  1029. /* and TRANS = 'T' */
  1030. dtrsm_("L", "L", "T", diag, &k, n, alpha, a, &k, &b[k]
  1031. , ldb);
  1032. dgemm_("N", "N", &k, n, &k, &c_b23, &a[k * (k + 1)], &
  1033. k, &b[k], ldb, alpha, &b[b_offset], ldb);
  1034. dtrsm_("L", "U", "N", diag, &k, n, &c_b27, &a[k], &k,
  1035. &b[b_offset], ldb);
  1036. }
  1037. } else {
  1038. /* SIDE ='L', N is even, TRANSR = 'T', and UPLO = 'U' */
  1039. if (! notrans) {
  1040. /* SIDE ='L', N is even, TRANSR = 'T', UPLO = 'U', */
  1041. /* and TRANS = 'N' */
  1042. dtrsm_("L", "U", "T", diag, &k, n, alpha, &a[k * (k +
  1043. 1)], &k, &b[b_offset], ldb);
  1044. dgemm_("N", "N", &k, n, &k, &c_b23, a, &k, &b[
  1045. b_offset], ldb, alpha, &b[k], ldb);
  1046. dtrsm_("L", "L", "N", diag, &k, n, &c_b27, &a[k * k],
  1047. &k, &b[k], ldb);
  1048. } else {
  1049. /* SIDE ='L', N is even, TRANSR = 'T', UPLO = 'U', */
  1050. /* and TRANS = 'T' */
  1051. dtrsm_("L", "L", "T", diag, &k, n, alpha, &a[k * k], &
  1052. k, &b[k], ldb);
  1053. dgemm_("T", "N", &k, n, &k, &c_b23, a, &k, &b[k], ldb,
  1054. alpha, &b[b_offset], ldb);
  1055. dtrsm_("L", "U", "N", diag, &k, n, &c_b27, &a[k * (k
  1056. + 1)], &k, &b[b_offset], ldb);
  1057. }
  1058. }
  1059. }
  1060. }
  1061. } else {
  1062. /* SIDE = 'R' */
  1063. /* A is N-by-N. */
  1064. /* If N is odd, set NISODD = .TRUE., and N1 and N2. */
  1065. /* If N is even, NISODD = .FALSE., and K. */
  1066. if (*n % 2 == 0) {
  1067. nisodd = FALSE_;
  1068. k = *n / 2;
  1069. } else {
  1070. nisodd = TRUE_;
  1071. if (lower) {
  1072. n2 = *n / 2;
  1073. n1 = *n - n2;
  1074. } else {
  1075. n1 = *n / 2;
  1076. n2 = *n - n1;
  1077. }
  1078. }
  1079. if (nisodd) {
  1080. /* SIDE = 'R' and N is odd */
  1081. if (normaltransr) {
  1082. /* SIDE = 'R', N is odd, and TRANSR = 'N' */
  1083. if (lower) {
  1084. /* SIDE ='R', N is odd, TRANSR = 'N', and UPLO = 'L' */
  1085. if (notrans) {
  1086. /* SIDE ='R', N is odd, TRANSR = 'N', UPLO = 'L', and */
  1087. /* TRANS = 'N' */
  1088. dtrsm_("R", "U", "T", diag, m, &n2, alpha, &a[*n], n,
  1089. &b[n1 * b_dim1], ldb);
  1090. dgemm_("N", "N", m, &n1, &n2, &c_b23, &b[n1 * b_dim1],
  1091. ldb, &a[n1], n, alpha, b, ldb);
  1092. dtrsm_("R", "L", "N", diag, m, &n1, &c_b27, a, n, b,
  1093. ldb);
  1094. } else {
  1095. /* SIDE ='R', N is odd, TRANSR = 'N', UPLO = 'L', and */
  1096. /* TRANS = 'T' */
  1097. dtrsm_("R", "L", "T", diag, m, &n1, alpha, a, n, b,
  1098. ldb);
  1099. dgemm_("N", "T", m, &n2, &n1, &c_b23, b, ldb, &a[n1],
  1100. n, alpha, &b[n1 * b_dim1], ldb);
  1101. dtrsm_("R", "U", "N", diag, m, &n2, &c_b27, &a[*n], n,
  1102. &b[n1 * b_dim1], ldb);
  1103. }
  1104. } else {
  1105. /* SIDE ='R', N is odd, TRANSR = 'N', and UPLO = 'U' */
  1106. if (notrans) {
  1107. /* SIDE ='R', N is odd, TRANSR = 'N', UPLO = 'U', and */
  1108. /* TRANS = 'N' */
  1109. dtrsm_("R", "L", "T", diag, m, &n1, alpha, &a[n2], n,
  1110. b, ldb);
  1111. dgemm_("N", "N", m, &n2, &n1, &c_b23, b, ldb, a, n,
  1112. alpha, &b[n1 * b_dim1], ldb);
  1113. dtrsm_("R", "U", "N", diag, m, &n2, &c_b27, &a[n1], n,
  1114. &b[n1 * b_dim1], ldb);
  1115. } else {
  1116. /* SIDE ='R', N is odd, TRANSR = 'N', UPLO = 'U', and */
  1117. /* TRANS = 'T' */
  1118. dtrsm_("R", "U", "T", diag, m, &n2, alpha, &a[n1], n,
  1119. &b[n1 * b_dim1], ldb);
  1120. dgemm_("N", "T", m, &n1, &n2, &c_b23, &b[n1 * b_dim1],
  1121. ldb, a, n, alpha, b, ldb);
  1122. dtrsm_("R", "L", "N", diag, m, &n1, &c_b27, &a[n2], n,
  1123. b, ldb);
  1124. }
  1125. }
  1126. } else {
  1127. /* SIDE = 'R', N is odd, and TRANSR = 'T' */
  1128. if (lower) {
  1129. /* SIDE ='R', N is odd, TRANSR = 'T', and UPLO = 'L' */
  1130. if (notrans) {
  1131. /* SIDE ='R', N is odd, TRANSR = 'T', UPLO = 'L', and */
  1132. /* TRANS = 'N' */
  1133. dtrsm_("R", "L", "N", diag, m, &n2, alpha, &a[1], &n1,
  1134. &b[n1 * b_dim1], ldb);
  1135. dgemm_("N", "T", m, &n1, &n2, &c_b23, &b[n1 * b_dim1],
  1136. ldb, &a[n1 * n1], &n1, alpha, b, ldb);
  1137. dtrsm_("R", "U", "T", diag, m, &n1, &c_b27, a, &n1, b,
  1138. ldb);
  1139. } else {
  1140. /* SIDE ='R', N is odd, TRANSR = 'T', UPLO = 'L', and */
  1141. /* TRANS = 'T' */
  1142. dtrsm_("R", "U", "N", diag, m, &n1, alpha, a, &n1, b,
  1143. ldb);
  1144. dgemm_("N", "N", m, &n2, &n1, &c_b23, b, ldb, &a[n1 *
  1145. n1], &n1, alpha, &b[n1 * b_dim1], ldb);
  1146. dtrsm_("R", "L", "T", diag, m, &n2, &c_b27, &a[1], &
  1147. n1, &b[n1 * b_dim1], ldb);
  1148. }
  1149. } else {
  1150. /* SIDE ='R', N is odd, TRANSR = 'T', and UPLO = 'U' */
  1151. if (notrans) {
  1152. /* SIDE ='R', N is odd, TRANSR = 'T', UPLO = 'U', and */
  1153. /* TRANS = 'N' */
  1154. dtrsm_("R", "U", "N", diag, m, &n1, alpha, &a[n2 * n2]
  1155. , &n2, b, ldb);
  1156. dgemm_("N", "T", m, &n2, &n1, &c_b23, b, ldb, a, &n2,
  1157. alpha, &b[n1 * b_dim1], ldb);
  1158. dtrsm_("R", "L", "T", diag, m, &n2, &c_b27, &a[n1 *
  1159. n2], &n2, &b[n1 * b_dim1], ldb);
  1160. } else {
  1161. /* SIDE ='R', N is odd, TRANSR = 'T', UPLO = 'U', and */
  1162. /* TRANS = 'T' */
  1163. dtrsm_("R", "L", "N", diag, m, &n2, alpha, &a[n1 * n2]
  1164. , &n2, &b[n1 * b_dim1], ldb);
  1165. dgemm_("N", "N", m, &n1, &n2, &c_b23, &b[n1 * b_dim1],
  1166. ldb, a, &n2, alpha, b, ldb);
  1167. dtrsm_("R", "U", "T", diag, m, &n1, &c_b27, &a[n2 *
  1168. n2], &n2, b, ldb);
  1169. }
  1170. }
  1171. }
  1172. } else {
  1173. /* SIDE = 'R' and N is even */
  1174. if (normaltransr) {
  1175. /* SIDE = 'R', N is even, and TRANSR = 'N' */
  1176. if (lower) {
  1177. /* SIDE ='R', N is even, TRANSR = 'N', and UPLO = 'L' */
  1178. if (notrans) {
  1179. /* SIDE ='R', N is even, TRANSR = 'N', UPLO = 'L', */
  1180. /* and TRANS = 'N' */
  1181. i__1 = *n + 1;
  1182. dtrsm_("R", "U", "T", diag, m, &k, alpha, a, &i__1, &
  1183. b[k * b_dim1], ldb);
  1184. i__1 = *n + 1;
  1185. dgemm_("N", "N", m, &k, &k, &c_b23, &b[k * b_dim1],
  1186. ldb, &a[k + 1], &i__1, alpha, b, ldb);
  1187. i__1 = *n + 1;
  1188. dtrsm_("R", "L", "N", diag, m, &k, &c_b27, &a[1], &
  1189. i__1, b, ldb);
  1190. } else {
  1191. /* SIDE ='R', N is even, TRANSR = 'N', UPLO = 'L', */
  1192. /* and TRANS = 'T' */
  1193. i__1 = *n + 1;
  1194. dtrsm_("R", "L", "T", diag, m, &k, alpha, &a[1], &
  1195. i__1, b, ldb);
  1196. i__1 = *n + 1;
  1197. dgemm_("N", "T", m, &k, &k, &c_b23, b, ldb, &a[k + 1],
  1198. &i__1, alpha, &b[k * b_dim1], ldb);
  1199. i__1 = *n + 1;
  1200. dtrsm_("R", "U", "N", diag, m, &k, &c_b27, a, &i__1, &
  1201. b[k * b_dim1], ldb);
  1202. }
  1203. } else {
  1204. /* SIDE ='R', N is even, TRANSR = 'N', and UPLO = 'U' */
  1205. if (notrans) {
  1206. /* SIDE ='R', N is even, TRANSR = 'N', UPLO = 'U', */
  1207. /* and TRANS = 'N' */
  1208. i__1 = *n + 1;
  1209. dtrsm_("R", "L", "T", diag, m, &k, alpha, &a[k + 1], &
  1210. i__1, b, ldb);
  1211. i__1 = *n + 1;
  1212. dgemm_("N", "N", m, &k, &k, &c_b23, b, ldb, a, &i__1,
  1213. alpha, &b[k * b_dim1], ldb);
  1214. i__1 = *n + 1;
  1215. dtrsm_("R", "U", "N", diag, m, &k, &c_b27, &a[k], &
  1216. i__1, &b[k * b_dim1], ldb);
  1217. } else {
  1218. /* SIDE ='R', N is even, TRANSR = 'N', UPLO = 'U', */
  1219. /* and TRANS = 'T' */
  1220. i__1 = *n + 1;
  1221. dtrsm_("R", "U", "T", diag, m, &k, alpha, &a[k], &
  1222. i__1, &b[k * b_dim1], ldb);
  1223. i__1 = *n + 1;
  1224. dgemm_("N", "T", m, &k, &k, &c_b23, &b[k * b_dim1],
  1225. ldb, a, &i__1, alpha, b, ldb);
  1226. i__1 = *n + 1;
  1227. dtrsm_("R", "L", "N", diag, m, &k, &c_b27, &a[k + 1],
  1228. &i__1, b, ldb);
  1229. }
  1230. }
  1231. } else {
  1232. /* SIDE = 'R', N is even, and TRANSR = 'T' */
  1233. if (lower) {
  1234. /* SIDE ='R', N is even, TRANSR = 'T', and UPLO = 'L' */
  1235. if (notrans) {
  1236. /* SIDE ='R', N is even, TRANSR = 'T', UPLO = 'L', */
  1237. /* and TRANS = 'N' */
  1238. dtrsm_("R", "L", "N", diag, m, &k, alpha, a, &k, &b[k
  1239. * b_dim1], ldb);
  1240. dgemm_("N", "T", m, &k, &k, &c_b23, &b[k * b_dim1],
  1241. ldb, &a[(k + 1) * k], &k, alpha, b, ldb);
  1242. dtrsm_("R", "U", "T", diag, m, &k, &c_b27, &a[k], &k,
  1243. b, ldb);
  1244. } else {
  1245. /* SIDE ='R', N is even, TRANSR = 'T', UPLO = 'L', */
  1246. /* and TRANS = 'T' */
  1247. dtrsm_("R", "U", "N", diag, m, &k, alpha, &a[k], &k,
  1248. b, ldb);
  1249. dgemm_("N", "N", m, &k, &k, &c_b23, b, ldb, &a[(k + 1)
  1250. * k], &k, alpha, &b[k * b_dim1], ldb);
  1251. dtrsm_("R", "L", "T", diag, m, &k, &c_b27, a, &k, &b[
  1252. k * b_dim1], ldb);
  1253. }
  1254. } else {
  1255. /* SIDE ='R', N is even, TRANSR = 'T', and UPLO = 'U' */
  1256. if (notrans) {
  1257. /* SIDE ='R', N is even, TRANSR = 'T', UPLO = 'U', */
  1258. /* and TRANS = 'N' */
  1259. dtrsm_("R", "U", "N", diag, m, &k, alpha, &a[(k + 1) *
  1260. k], &k, b, ldb);
  1261. dgemm_("N", "T", m, &k, &k, &c_b23, b, ldb, a, &k,
  1262. alpha, &b[k * b_dim1], ldb);
  1263. dtrsm_("R", "L", "T", diag, m, &k, &c_b27, &a[k * k],
  1264. &k, &b[k * b_dim1], ldb);
  1265. } else {
  1266. /* SIDE ='R', N is even, TRANSR = 'T', UPLO = 'U', */
  1267. /* and TRANS = 'T' */
  1268. dtrsm_("R", "L", "N", diag, m, &k, alpha, &a[k * k], &
  1269. k, &b[k * b_dim1], ldb);
  1270. dgemm_("N", "N", m, &k, &k, &c_b23, &b[k * b_dim1],
  1271. ldb, a, &k, alpha, b, ldb);
  1272. dtrsm_("R", "U", "T", diag, m, &k, &c_b27, &a[(k + 1)
  1273. * k], &k, b, ldb);
  1274. }
  1275. }
  1276. }
  1277. }
  1278. }
  1279. return;
  1280. /* End of DTFSM */
  1281. } /* dtfsm_ */