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dlascl.c 21 kB

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  1. /* f2c.h -- Standard Fortran to C header file */
  2. /** barf [ba:rf] 2. "He suggested using FORTRAN, and everybody barfed."
  3. - From The Shogakukan DICTIONARY OF NEW ENGLISH (Second edition) */
  4. #ifndef F2C_INCLUDE
  5. #define F2C_INCLUDE
  6. #include <math.h>
  7. #include <stdlib.h>
  8. #include <string.h>
  9. #include <stdio.h>
  10. #include <complex.h>
  11. #ifdef complex
  12. #undef complex
  13. #endif
  14. #ifdef I
  15. #undef I
  16. #endif
  17. #if defined(OS_WINDOWS) && defined(__64BIT__)
  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(OS_WINDOWS) && defined(__64BIT__)
  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 DLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom. */
  380. /* =========== DOCUMENTATION =========== */
  381. /* Online html documentation available at */
  382. /* http://www.netlib.org/lapack/explore-html/ */
  383. /* > \htmlonly */
  384. /* > Download DLASCL + dependencies */
  385. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlascl.
  386. f"> */
  387. /* > [TGZ]</a> */
  388. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlascl.
  389. f"> */
  390. /* > [ZIP]</a> */
  391. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlascl.
  392. f"> */
  393. /* > [TXT]</a> */
  394. /* > \endhtmlonly */
  395. /* Definition: */
  396. /* =========== */
  397. /* SUBROUTINE DLASCL( TYPE, KL, KU, CFROM, CTO, M, N, A, LDA, INFO ) */
  398. /* CHARACTER TYPE */
  399. /* INTEGER INFO, KL, KU, LDA, M, N */
  400. /* DOUBLE PRECISION CFROM, CTO */
  401. /* DOUBLE PRECISION A( LDA, * ) */
  402. /* > \par Purpose: */
  403. /* ============= */
  404. /* > */
  405. /* > \verbatim */
  406. /* > */
  407. /* > DLASCL multiplies the M by N real matrix A by the real scalar */
  408. /* > CTO/CFROM. This is done without over/underflow as long as the final */
  409. /* > result CTO*A(I,J)/CFROM does not over/underflow. TYPE specifies that */
  410. /* > A may be full, upper triangular, lower triangular, upper Hessenberg, */
  411. /* > or banded. */
  412. /* > \endverbatim */
  413. /* Arguments: */
  414. /* ========== */
  415. /* > \param[in] TYPE */
  416. /* > \verbatim */
  417. /* > TYPE is CHARACTER*1 */
  418. /* > TYPE indices the storage type of the input matrix. */
  419. /* > = 'G': A is a full matrix. */
  420. /* > = 'L': A is a lower triangular matrix. */
  421. /* > = 'U': A is an upper triangular matrix. */
  422. /* > = 'H': A is an upper Hessenberg matrix. */
  423. /* > = 'B': A is a symmetric band matrix with lower bandwidth KL */
  424. /* > and upper bandwidth KU and with the only the lower */
  425. /* > half stored. */
  426. /* > = 'Q': A is a symmetric band matrix with lower bandwidth KL */
  427. /* > and upper bandwidth KU and with the only the upper */
  428. /* > half stored. */
  429. /* > = 'Z': A is a band matrix with lower bandwidth KL and upper */
  430. /* > bandwidth KU. See DGBTRF for storage details. */
  431. /* > \endverbatim */
  432. /* > */
  433. /* > \param[in] KL */
  434. /* > \verbatim */
  435. /* > KL is INTEGER */
  436. /* > The lower bandwidth of A. Referenced only if TYPE = 'B', */
  437. /* > 'Q' or 'Z'. */
  438. /* > \endverbatim */
  439. /* > */
  440. /* > \param[in] KU */
  441. /* > \verbatim */
  442. /* > KU is INTEGER */
  443. /* > The upper bandwidth of A. Referenced only if TYPE = 'B', */
  444. /* > 'Q' or 'Z'. */
  445. /* > \endverbatim */
  446. /* > */
  447. /* > \param[in] CFROM */
  448. /* > \verbatim */
  449. /* > CFROM is DOUBLE PRECISION */
  450. /* > \endverbatim */
  451. /* > */
  452. /* > \param[in] CTO */
  453. /* > \verbatim */
  454. /* > CTO is DOUBLE PRECISION */
  455. /* > */
  456. /* > The matrix A is multiplied by CTO/CFROM. A(I,J) is computed */
  457. /* > without over/underflow if the final result CTO*A(I,J)/CFROM */
  458. /* > can be represented without over/underflow. CFROM must be */
  459. /* > nonzero. */
  460. /* > \endverbatim */
  461. /* > */
  462. /* > \param[in] M */
  463. /* > \verbatim */
  464. /* > M is INTEGER */
  465. /* > The number of rows of the matrix A. M >= 0. */
  466. /* > \endverbatim */
  467. /* > */
  468. /* > \param[in] N */
  469. /* > \verbatim */
  470. /* > N is INTEGER */
  471. /* > The number of columns of the matrix A. N >= 0. */
  472. /* > \endverbatim */
  473. /* > */
  474. /* > \param[in,out] A */
  475. /* > \verbatim */
  476. /* > A is DOUBLE PRECISION array, dimension (LDA,N) */
  477. /* > The matrix to be multiplied by CTO/CFROM. See TYPE for the */
  478. /* > storage type. */
  479. /* > \endverbatim */
  480. /* > */
  481. /* > \param[in] LDA */
  482. /* > \verbatim */
  483. /* > LDA is INTEGER */
  484. /* > The leading dimension of the array A. */
  485. /* > If TYPE = 'G', 'L', 'U', 'H', LDA >= f2cmax(1,M); */
  486. /* > TYPE = 'B', LDA >= KL+1; */
  487. /* > TYPE = 'Q', LDA >= KU+1; */
  488. /* > TYPE = 'Z', LDA >= 2*KL+KU+1. */
  489. /* > \endverbatim */
  490. /* > */
  491. /* > \param[out] INFO */
  492. /* > \verbatim */
  493. /* > INFO is INTEGER */
  494. /* > 0 - successful exit */
  495. /* > <0 - if INFO = -i, the i-th argument had an illegal value. */
  496. /* > \endverbatim */
  497. /* Authors: */
  498. /* ======== */
  499. /* > \author Univ. of Tennessee */
  500. /* > \author Univ. of California Berkeley */
  501. /* > \author Univ. of Colorado Denver */
  502. /* > \author NAG Ltd. */
  503. /* > \date June 2016 */
  504. /* > \ingroup OTHERauxiliary */
  505. /* ===================================================================== */
  506. /* Subroutine */ int dlascl_(char *type__, integer *kl, integer *ku,
  507. doublereal *cfrom, doublereal *cto, integer *m, integer *n,
  508. doublereal *a, integer *lda, integer *info)
  509. {
  510. /* System generated locals */
  511. integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5;
  512. /* Local variables */
  513. logical done;
  514. doublereal ctoc;
  515. integer i__, j;
  516. extern logical lsame_(char *, char *);
  517. integer itype, k1, k2, k3, k4;
  518. doublereal cfrom1;
  519. extern doublereal dlamch_(char *);
  520. doublereal cfromc;
  521. extern logical disnan_(doublereal *);
  522. extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
  523. doublereal bignum, smlnum, mul, cto1;
  524. /* -- LAPACK auxiliary routine (version 3.7.0) -- */
  525. /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
  526. /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  527. /* June 2016 */
  528. /* ===================================================================== */
  529. /* Test the input arguments */
  530. /* Parameter adjustments */
  531. a_dim1 = *lda;
  532. a_offset = 1 + a_dim1 * 1;
  533. a -= a_offset;
  534. /* Function Body */
  535. *info = 0;
  536. if (lsame_(type__, "G")) {
  537. itype = 0;
  538. } else if (lsame_(type__, "L")) {
  539. itype = 1;
  540. } else if (lsame_(type__, "U")) {
  541. itype = 2;
  542. } else if (lsame_(type__, "H")) {
  543. itype = 3;
  544. } else if (lsame_(type__, "B")) {
  545. itype = 4;
  546. } else if (lsame_(type__, "Q")) {
  547. itype = 5;
  548. } else if (lsame_(type__, "Z")) {
  549. itype = 6;
  550. } else {
  551. itype = -1;
  552. }
  553. if (itype == -1) {
  554. *info = -1;
  555. } else if (*cfrom == 0. || disnan_(cfrom)) {
  556. *info = -4;
  557. } else if (disnan_(cto)) {
  558. *info = -5;
  559. } else if (*m < 0) {
  560. *info = -6;
  561. } else if (*n < 0 || itype == 4 && *n != *m || itype == 5 && *n != *m) {
  562. *info = -7;
  563. } else if (itype <= 3 && *lda < f2cmax(1,*m)) {
  564. *info = -9;
  565. } else if (itype >= 4) {
  566. /* Computing MAX */
  567. i__1 = *m - 1;
  568. if (*kl < 0 || *kl > f2cmax(i__1,0)) {
  569. *info = -2;
  570. } else /* if(complicated condition) */ {
  571. /* Computing MAX */
  572. i__1 = *n - 1;
  573. if (*ku < 0 || *ku > f2cmax(i__1,0) || (itype == 4 || itype == 5) &&
  574. *kl != *ku) {
  575. *info = -3;
  576. } else if (itype == 4 && *lda < *kl + 1 || itype == 5 && *lda < *
  577. ku + 1 || itype == 6 && *lda < (*kl << 1) + *ku + 1) {
  578. *info = -9;
  579. }
  580. }
  581. }
  582. if (*info != 0) {
  583. i__1 = -(*info);
  584. xerbla_("DLASCL", &i__1, (ftnlen)6);
  585. return 0;
  586. }
  587. /* Quick return if possible */
  588. if (*n == 0 || *m == 0) {
  589. return 0;
  590. }
  591. /* Get machine parameters */
  592. smlnum = dlamch_("S");
  593. bignum = 1. / smlnum;
  594. cfromc = *cfrom;
  595. ctoc = *cto;
  596. L10:
  597. cfrom1 = cfromc * smlnum;
  598. if (cfrom1 == cfromc) {
  599. /* CFROMC is an inf. Multiply by a correctly signed zero for */
  600. /* finite CTOC, or a NaN if CTOC is infinite. */
  601. mul = ctoc / cfromc;
  602. done = TRUE_;
  603. cto1 = ctoc;
  604. } else {
  605. cto1 = ctoc / bignum;
  606. if (cto1 == ctoc) {
  607. /* CTOC is either 0 or an inf. In both cases, CTOC itself */
  608. /* serves as the correct multiplication factor. */
  609. mul = ctoc;
  610. done = TRUE_;
  611. cfromc = 1.;
  612. } else if (abs(cfrom1) > abs(ctoc) && ctoc != 0.) {
  613. mul = smlnum;
  614. done = FALSE_;
  615. cfromc = cfrom1;
  616. } else if (abs(cto1) > abs(cfromc)) {
  617. mul = bignum;
  618. done = FALSE_;
  619. ctoc = cto1;
  620. } else {
  621. mul = ctoc / cfromc;
  622. done = TRUE_;
  623. }
  624. }
  625. if (itype == 0) {
  626. /* Full matrix */
  627. i__1 = *n;
  628. for (j = 1; j <= i__1; ++j) {
  629. i__2 = *m;
  630. for (i__ = 1; i__ <= i__2; ++i__) {
  631. a[i__ + j * a_dim1] *= mul;
  632. /* L20: */
  633. }
  634. /* L30: */
  635. }
  636. } else if (itype == 1) {
  637. /* Lower triangular matrix */
  638. i__1 = *n;
  639. for (j = 1; j <= i__1; ++j) {
  640. i__2 = *m;
  641. for (i__ = j; i__ <= i__2; ++i__) {
  642. a[i__ + j * a_dim1] *= mul;
  643. /* L40: */
  644. }
  645. /* L50: */
  646. }
  647. } else if (itype == 2) {
  648. /* Upper triangular matrix */
  649. i__1 = *n;
  650. for (j = 1; j <= i__1; ++j) {
  651. i__2 = f2cmin(j,*m);
  652. for (i__ = 1; i__ <= i__2; ++i__) {
  653. a[i__ + j * a_dim1] *= mul;
  654. /* L60: */
  655. }
  656. /* L70: */
  657. }
  658. } else if (itype == 3) {
  659. /* Upper Hessenberg matrix */
  660. i__1 = *n;
  661. for (j = 1; j <= i__1; ++j) {
  662. /* Computing MIN */
  663. i__3 = j + 1;
  664. i__2 = f2cmin(i__3,*m);
  665. for (i__ = 1; i__ <= i__2; ++i__) {
  666. a[i__ + j * a_dim1] *= mul;
  667. /* L80: */
  668. }
  669. /* L90: */
  670. }
  671. } else if (itype == 4) {
  672. /* Lower half of a symmetric band matrix */
  673. k3 = *kl + 1;
  674. k4 = *n + 1;
  675. i__1 = *n;
  676. for (j = 1; j <= i__1; ++j) {
  677. /* Computing MIN */
  678. i__3 = k3, i__4 = k4 - j;
  679. i__2 = f2cmin(i__3,i__4);
  680. for (i__ = 1; i__ <= i__2; ++i__) {
  681. a[i__ + j * a_dim1] *= mul;
  682. /* L100: */
  683. }
  684. /* L110: */
  685. }
  686. } else if (itype == 5) {
  687. /* Upper half of a symmetric band matrix */
  688. k1 = *ku + 2;
  689. k3 = *ku + 1;
  690. i__1 = *n;
  691. for (j = 1; j <= i__1; ++j) {
  692. /* Computing MAX */
  693. i__2 = k1 - j;
  694. i__3 = k3;
  695. for (i__ = f2cmax(i__2,1); i__ <= i__3; ++i__) {
  696. a[i__ + j * a_dim1] *= mul;
  697. /* L120: */
  698. }
  699. /* L130: */
  700. }
  701. } else if (itype == 6) {
  702. /* Band matrix */
  703. k1 = *kl + *ku + 2;
  704. k2 = *kl + 1;
  705. k3 = (*kl << 1) + *ku + 1;
  706. k4 = *kl + *ku + 1 + *m;
  707. i__1 = *n;
  708. for (j = 1; j <= i__1; ++j) {
  709. /* Computing MAX */
  710. i__3 = k1 - j;
  711. /* Computing MIN */
  712. i__4 = k3, i__5 = k4 - j;
  713. i__2 = f2cmin(i__4,i__5);
  714. for (i__ = f2cmax(i__3,k2); i__ <= i__2; ++i__) {
  715. a[i__ + j * a_dim1] *= mul;
  716. /* L140: */
  717. }
  718. /* L150: */
  719. }
  720. }
  721. if (! done) {
  722. goto L10;
  723. }
  724. return 0;
  725. /* End of DLASCL */
  726. } /* dlascl_ */