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clascl.c 25 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. /* > \brief \b CLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom. */
  484. /* =========== DOCUMENTATION =========== */
  485. /* Online html documentation available at */
  486. /* http://www.netlib.org/lapack/explore-html/ */
  487. /* > \htmlonly */
  488. /* > Download CLASCL + dependencies */
  489. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/clascl.
  490. f"> */
  491. /* > [TGZ]</a> */
  492. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/clascl.
  493. f"> */
  494. /* > [ZIP]</a> */
  495. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/clascl.
  496. f"> */
  497. /* > [TXT]</a> */
  498. /* > \endhtmlonly */
  499. /* Definition: */
  500. /* =========== */
  501. /* SUBROUTINE CLASCL( TYPE, KL, KU, CFROM, CTO, M, N, A, LDA, INFO ) */
  502. /* CHARACTER TYPE */
  503. /* INTEGER INFO, KL, KU, LDA, M, N */
  504. /* REAL CFROM, CTO */
  505. /* COMPLEX A( LDA, * ) */
  506. /* > \par Purpose: */
  507. /* ============= */
  508. /* > */
  509. /* > \verbatim */
  510. /* > */
  511. /* > CLASCL multiplies the M by N complex matrix A by the real scalar */
  512. /* > CTO/CFROM. This is done without over/underflow as long as the final */
  513. /* > result CTO*A(I,J)/CFROM does not over/underflow. TYPE specifies that */
  514. /* > A may be full, upper triangular, lower triangular, upper Hessenberg, */
  515. /* > or banded. */
  516. /* > \endverbatim */
  517. /* Arguments: */
  518. /* ========== */
  519. /* > \param[in] TYPE */
  520. /* > \verbatim */
  521. /* > TYPE is CHARACTER*1 */
  522. /* > TYPE indices the storage type of the input matrix. */
  523. /* > = 'G': A is a full matrix. */
  524. /* > = 'L': A is a lower triangular matrix. */
  525. /* > = 'U': A is an upper triangular matrix. */
  526. /* > = 'H': A is an upper Hessenberg matrix. */
  527. /* > = 'B': A is a symmetric band matrix with lower bandwidth KL */
  528. /* > and upper bandwidth KU and with the only the lower */
  529. /* > half stored. */
  530. /* > = 'Q': A is a symmetric band matrix with lower bandwidth KL */
  531. /* > and upper bandwidth KU and with the only the upper */
  532. /* > half stored. */
  533. /* > = 'Z': A is a band matrix with lower bandwidth KL and upper */
  534. /* > bandwidth KU. See CGBTRF for storage details. */
  535. /* > \endverbatim */
  536. /* > */
  537. /* > \param[in] KL */
  538. /* > \verbatim */
  539. /* > KL is INTEGER */
  540. /* > The lower bandwidth of A. Referenced only if TYPE = 'B', */
  541. /* > 'Q' or 'Z'. */
  542. /* > \endverbatim */
  543. /* > */
  544. /* > \param[in] KU */
  545. /* > \verbatim */
  546. /* > KU is INTEGER */
  547. /* > The upper bandwidth of A. Referenced only if TYPE = 'B', */
  548. /* > 'Q' or 'Z'. */
  549. /* > \endverbatim */
  550. /* > */
  551. /* > \param[in] CFROM */
  552. /* > \verbatim */
  553. /* > CFROM is REAL */
  554. /* > \endverbatim */
  555. /* > */
  556. /* > \param[in] CTO */
  557. /* > \verbatim */
  558. /* > CTO is REAL */
  559. /* > */
  560. /* > The matrix A is multiplied by CTO/CFROM. A(I,J) is computed */
  561. /* > without over/underflow if the final result CTO*A(I,J)/CFROM */
  562. /* > can be represented without over/underflow. CFROM must be */
  563. /* > nonzero. */
  564. /* > \endverbatim */
  565. /* > */
  566. /* > \param[in] M */
  567. /* > \verbatim */
  568. /* > M is INTEGER */
  569. /* > The number of rows of the matrix A. M >= 0. */
  570. /* > \endverbatim */
  571. /* > */
  572. /* > \param[in] N */
  573. /* > \verbatim */
  574. /* > N is INTEGER */
  575. /* > The number of columns of the matrix A. N >= 0. */
  576. /* > \endverbatim */
  577. /* > */
  578. /* > \param[in,out] A */
  579. /* > \verbatim */
  580. /* > A is COMPLEX array, dimension (LDA,N) */
  581. /* > The matrix to be multiplied by CTO/CFROM. See TYPE for the */
  582. /* > storage type. */
  583. /* > \endverbatim */
  584. /* > */
  585. /* > \param[in] LDA */
  586. /* > \verbatim */
  587. /* > LDA is INTEGER */
  588. /* > The leading dimension of the array A. */
  589. /* > If TYPE = 'G', 'L', 'U', 'H', LDA >= f2cmax(1,M); */
  590. /* > TYPE = 'B', LDA >= KL+1; */
  591. /* > TYPE = 'Q', LDA >= KU+1; */
  592. /* > TYPE = 'Z', LDA >= 2*KL+KU+1. */
  593. /* > \endverbatim */
  594. /* > */
  595. /* > \param[out] INFO */
  596. /* > \verbatim */
  597. /* > INFO is INTEGER */
  598. /* > 0 - successful exit */
  599. /* > <0 - if INFO = -i, the i-th argument had an illegal value. */
  600. /* > \endverbatim */
  601. /* Authors: */
  602. /* ======== */
  603. /* > \author Univ. of Tennessee */
  604. /* > \author Univ. of California Berkeley */
  605. /* > \author Univ. of Colorado Denver */
  606. /* > \author NAG Ltd. */
  607. /* > \date June 2016 */
  608. /* > \ingroup complexOTHERauxiliary */
  609. /* ===================================================================== */
  610. /* Subroutine */ void clascl_(char *type__, integer *kl, integer *ku, real *
  611. cfrom, real *cto, integer *m, integer *n, complex *a, integer *lda,
  612. integer *info)
  613. {
  614. /* System generated locals */
  615. integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5;
  616. complex q__1;
  617. /* Local variables */
  618. logical done;
  619. real ctoc;
  620. integer i__, j;
  621. extern logical lsame_(char *, char *);
  622. integer itype, k1, k2, k3, k4;
  623. real cfrom1;
  624. extern real slamch_(char *);
  625. real cfromc;
  626. extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
  627. real bignum;
  628. extern logical sisnan_(real *);
  629. real smlnum, mul, cto1;
  630. /* -- LAPACK auxiliary routine (version 3.7.0) -- */
  631. /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
  632. /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  633. /* June 2016 */
  634. /* ===================================================================== */
  635. /* Test the input arguments */
  636. /* Parameter adjustments */
  637. a_dim1 = *lda;
  638. a_offset = 1 + a_dim1 * 1;
  639. a -= a_offset;
  640. /* Function Body */
  641. *info = 0;
  642. if (lsame_(type__, "G")) {
  643. itype = 0;
  644. } else if (lsame_(type__, "L")) {
  645. itype = 1;
  646. } else if (lsame_(type__, "U")) {
  647. itype = 2;
  648. } else if (lsame_(type__, "H")) {
  649. itype = 3;
  650. } else if (lsame_(type__, "B")) {
  651. itype = 4;
  652. } else if (lsame_(type__, "Q")) {
  653. itype = 5;
  654. } else if (lsame_(type__, "Z")) {
  655. itype = 6;
  656. } else {
  657. itype = -1;
  658. }
  659. if (itype == -1) {
  660. *info = -1;
  661. } else if (*cfrom == 0.f || sisnan_(cfrom)) {
  662. *info = -4;
  663. } else if (sisnan_(cto)) {
  664. *info = -5;
  665. } else if (*m < 0) {
  666. *info = -6;
  667. } else if (*n < 0 || itype == 4 && *n != *m || itype == 5 && *n != *m) {
  668. *info = -7;
  669. } else if (itype <= 3 && *lda < f2cmax(1,*m)) {
  670. *info = -9;
  671. } else if (itype >= 4) {
  672. /* Computing MAX */
  673. i__1 = *m - 1;
  674. if (*kl < 0 || *kl > f2cmax(i__1,0)) {
  675. *info = -2;
  676. } else /* if(complicated condition) */ {
  677. /* Computing MAX */
  678. i__1 = *n - 1;
  679. if (*ku < 0 || *ku > f2cmax(i__1,0) || (itype == 4 || itype == 5) &&
  680. *kl != *ku) {
  681. *info = -3;
  682. } else if (itype == 4 && *lda < *kl + 1 || itype == 5 && *lda < *
  683. ku + 1 || itype == 6 && *lda < (*kl << 1) + *ku + 1) {
  684. *info = -9;
  685. }
  686. }
  687. }
  688. if (*info != 0) {
  689. i__1 = -(*info);
  690. xerbla_("CLASCL", &i__1, (ftnlen)6);
  691. return;
  692. }
  693. /* Quick return if possible */
  694. if (*n == 0 || *m == 0) {
  695. return;
  696. }
  697. /* Get machine parameters */
  698. smlnum = slamch_("S");
  699. bignum = 1.f / smlnum;
  700. cfromc = *cfrom;
  701. ctoc = *cto;
  702. L10:
  703. cfrom1 = cfromc * smlnum;
  704. if (cfrom1 == cfromc) {
  705. /* CFROMC is an inf. Multiply by a correctly signed zero for */
  706. /* finite CTOC, or a NaN if CTOC is infinite. */
  707. mul = ctoc / cfromc;
  708. done = TRUE_;
  709. cto1 = ctoc;
  710. } else {
  711. cto1 = ctoc / bignum;
  712. if (cto1 == ctoc) {
  713. /* CTOC is either 0 or an inf. In both cases, CTOC itself */
  714. /* serves as the correct multiplication factor. */
  715. mul = ctoc;
  716. done = TRUE_;
  717. cfromc = 1.f;
  718. } else if (abs(cfrom1) > abs(ctoc) && ctoc != 0.f) {
  719. mul = smlnum;
  720. done = FALSE_;
  721. cfromc = cfrom1;
  722. } else if (abs(cto1) > abs(cfromc)) {
  723. mul = bignum;
  724. done = FALSE_;
  725. ctoc = cto1;
  726. } else {
  727. mul = ctoc / cfromc;
  728. done = TRUE_;
  729. }
  730. }
  731. if (itype == 0) {
  732. /* Full matrix */
  733. i__1 = *n;
  734. for (j = 1; j <= i__1; ++j) {
  735. i__2 = *m;
  736. for (i__ = 1; i__ <= i__2; ++i__) {
  737. i__3 = i__ + j * a_dim1;
  738. i__4 = i__ + j * a_dim1;
  739. q__1.r = mul * a[i__4].r, q__1.i = mul * a[i__4].i;
  740. a[i__3].r = q__1.r, a[i__3].i = q__1.i;
  741. /* L20: */
  742. }
  743. /* L30: */
  744. }
  745. } else if (itype == 1) {
  746. /* Lower triangular matrix */
  747. i__1 = *n;
  748. for (j = 1; j <= i__1; ++j) {
  749. i__2 = *m;
  750. for (i__ = j; i__ <= i__2; ++i__) {
  751. i__3 = i__ + j * a_dim1;
  752. i__4 = i__ + j * a_dim1;
  753. q__1.r = mul * a[i__4].r, q__1.i = mul * a[i__4].i;
  754. a[i__3].r = q__1.r, a[i__3].i = q__1.i;
  755. /* L40: */
  756. }
  757. /* L50: */
  758. }
  759. } else if (itype == 2) {
  760. /* Upper triangular matrix */
  761. i__1 = *n;
  762. for (j = 1; j <= i__1; ++j) {
  763. i__2 = f2cmin(j,*m);
  764. for (i__ = 1; i__ <= i__2; ++i__) {
  765. i__3 = i__ + j * a_dim1;
  766. i__4 = i__ + j * a_dim1;
  767. q__1.r = mul * a[i__4].r, q__1.i = mul * a[i__4].i;
  768. a[i__3].r = q__1.r, a[i__3].i = q__1.i;
  769. /* L60: */
  770. }
  771. /* L70: */
  772. }
  773. } else if (itype == 3) {
  774. /* Upper Hessenberg matrix */
  775. i__1 = *n;
  776. for (j = 1; j <= i__1; ++j) {
  777. /* Computing MIN */
  778. i__3 = j + 1;
  779. i__2 = f2cmin(i__3,*m);
  780. for (i__ = 1; i__ <= i__2; ++i__) {
  781. i__3 = i__ + j * a_dim1;
  782. i__4 = i__ + j * a_dim1;
  783. q__1.r = mul * a[i__4].r, q__1.i = mul * a[i__4].i;
  784. a[i__3].r = q__1.r, a[i__3].i = q__1.i;
  785. /* L80: */
  786. }
  787. /* L90: */
  788. }
  789. } else if (itype == 4) {
  790. /* Lower half of a symmetric band matrix */
  791. k3 = *kl + 1;
  792. k4 = *n + 1;
  793. i__1 = *n;
  794. for (j = 1; j <= i__1; ++j) {
  795. /* Computing MIN */
  796. i__3 = k3, i__4 = k4 - j;
  797. i__2 = f2cmin(i__3,i__4);
  798. for (i__ = 1; i__ <= i__2; ++i__) {
  799. i__3 = i__ + j * a_dim1;
  800. i__4 = i__ + j * a_dim1;
  801. q__1.r = mul * a[i__4].r, q__1.i = mul * a[i__4].i;
  802. a[i__3].r = q__1.r, a[i__3].i = q__1.i;
  803. /* L100: */
  804. }
  805. /* L110: */
  806. }
  807. } else if (itype == 5) {
  808. /* Upper half of a symmetric band matrix */
  809. k1 = *ku + 2;
  810. k3 = *ku + 1;
  811. i__1 = *n;
  812. for (j = 1; j <= i__1; ++j) {
  813. /* Computing MAX */
  814. i__2 = k1 - j;
  815. i__3 = k3;
  816. for (i__ = f2cmax(i__2,1); i__ <= i__3; ++i__) {
  817. i__2 = i__ + j * a_dim1;
  818. i__4 = i__ + j * a_dim1;
  819. q__1.r = mul * a[i__4].r, q__1.i = mul * a[i__4].i;
  820. a[i__2].r = q__1.r, a[i__2].i = q__1.i;
  821. /* L120: */
  822. }
  823. /* L130: */
  824. }
  825. } else if (itype == 6) {
  826. /* Band matrix */
  827. k1 = *kl + *ku + 2;
  828. k2 = *kl + 1;
  829. k3 = (*kl << 1) + *ku + 1;
  830. k4 = *kl + *ku + 1 + *m;
  831. i__1 = *n;
  832. for (j = 1; j <= i__1; ++j) {
  833. /* Computing MAX */
  834. i__3 = k1 - j;
  835. /* Computing MIN */
  836. i__4 = k3, i__5 = k4 - j;
  837. i__2 = f2cmin(i__4,i__5);
  838. for (i__ = f2cmax(i__3,k2); i__ <= i__2; ++i__) {
  839. i__3 = i__ + j * a_dim1;
  840. i__4 = i__ + j * a_dim1;
  841. q__1.r = mul * a[i__4].r, q__1.i = mul * a[i__4].i;
  842. a[i__3].r = q__1.r, a[i__3].i = q__1.i;
  843. /* L140: */
  844. }
  845. /* L150: */
  846. }
  847. }
  848. if (! done) {
  849. goto L10;
  850. }
  851. return;
  852. /* End of CLASCL */
  853. } /* clascl_ */