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slarnd.c 10 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 char integer1;
  52. #define TRUE_ (1)
  53. #define FALSE_ (0)
  54. /* Extern is for use with -E */
  55. #ifndef Extern
  56. #define Extern extern
  57. #endif
  58. /* I/O stuff */
  59. typedef int flag;
  60. typedef int ftnlen;
  61. typedef int ftnint;
  62. /*external read, write*/
  63. typedef struct
  64. { flag cierr;
  65. ftnint ciunit;
  66. flag ciend;
  67. char *cifmt;
  68. ftnint cirec;
  69. } cilist;
  70. /*internal read, write*/
  71. typedef struct
  72. { flag icierr;
  73. char *iciunit;
  74. flag iciend;
  75. char *icifmt;
  76. ftnint icirlen;
  77. ftnint icirnum;
  78. } icilist;
  79. /*open*/
  80. typedef struct
  81. { flag oerr;
  82. ftnint ounit;
  83. char *ofnm;
  84. ftnlen ofnmlen;
  85. char *osta;
  86. char *oacc;
  87. char *ofm;
  88. ftnint orl;
  89. char *oblnk;
  90. } olist;
  91. /*close*/
  92. typedef struct
  93. { flag cerr;
  94. ftnint cunit;
  95. char *csta;
  96. } cllist;
  97. /*rewind, backspace, endfile*/
  98. typedef struct
  99. { flag aerr;
  100. ftnint aunit;
  101. } alist;
  102. /* inquire */
  103. typedef struct
  104. { flag inerr;
  105. ftnint inunit;
  106. char *infile;
  107. ftnlen infilen;
  108. ftnint *inex; /*parameters in standard's order*/
  109. ftnint *inopen;
  110. ftnint *innum;
  111. ftnint *innamed;
  112. char *inname;
  113. ftnlen innamlen;
  114. char *inacc;
  115. ftnlen inacclen;
  116. char *inseq;
  117. ftnlen inseqlen;
  118. char *indir;
  119. ftnlen indirlen;
  120. char *infmt;
  121. ftnlen infmtlen;
  122. char *inform;
  123. ftnint informlen;
  124. char *inunf;
  125. ftnlen inunflen;
  126. ftnint *inrecl;
  127. ftnint *innrec;
  128. char *inblank;
  129. ftnlen inblanklen;
  130. } inlist;
  131. #define VOID void
  132. union Multitype { /* for multiple entry points */
  133. integer1 g;
  134. shortint h;
  135. integer i;
  136. /* longint j; */
  137. real r;
  138. doublereal d;
  139. complex c;
  140. doublecomplex z;
  141. };
  142. typedef union Multitype Multitype;
  143. struct Vardesc { /* for Namelist */
  144. char *name;
  145. char *addr;
  146. ftnlen *dims;
  147. int type;
  148. };
  149. typedef struct Vardesc Vardesc;
  150. struct Namelist {
  151. char *name;
  152. Vardesc **vars;
  153. int nvars;
  154. };
  155. typedef struct Namelist Namelist;
  156. #define abs(x) ((x) >= 0 ? (x) : -(x))
  157. #define dabs(x) (fabs(x))
  158. #define f2cmin(a,b) ((a) <= (b) ? (a) : (b))
  159. #define f2cmax(a,b) ((a) >= (b) ? (a) : (b))
  160. #define dmin(a,b) (f2cmin(a,b))
  161. #define dmax(a,b) (f2cmax(a,b))
  162. #define bit_test(a,b) ((a) >> (b) & 1)
  163. #define bit_clear(a,b) ((a) & ~((uinteger)1 << (b)))
  164. #define bit_set(a,b) ((a) | ((uinteger)1 << (b)))
  165. #define abort_() { sig_die("Fortran abort routine called", 1); }
  166. #define c_abs(z) (cabsf(Cf(z)))
  167. #define c_cos(R,Z) { pCf(R)=ccos(Cf(Z)); }
  168. #ifdef _MSC_VER
  169. #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]);}
  170. #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]);}
  171. #else
  172. #define c_div(c, a, b) {pCf(c) = Cf(a)/Cf(b);}
  173. #define z_div(c, a, b) {pCd(c) = Cd(a)/Cd(b);}
  174. #endif
  175. #define c_exp(R, Z) {pCf(R) = cexpf(Cf(Z));}
  176. #define c_log(R, Z) {pCf(R) = clogf(Cf(Z));}
  177. #define c_sin(R, Z) {pCf(R) = csinf(Cf(Z));}
  178. //#define c_sqrt(R, Z) {*(R) = csqrtf(Cf(Z));}
  179. #define c_sqrt(R, Z) {pCf(R) = csqrtf(Cf(Z));}
  180. #define d_abs(x) (fabs(*(x)))
  181. #define d_acos(x) (acos(*(x)))
  182. #define d_asin(x) (asin(*(x)))
  183. #define d_atan(x) (atan(*(x)))
  184. #define d_atn2(x, y) (atan2(*(x),*(y)))
  185. #define d_cnjg(R, Z) { pCd(R) = conj(Cd(Z)); }
  186. #define r_cnjg(R, Z) { pCf(R) = conjf(Cf(Z)); }
  187. #define d_cos(x) (cos(*(x)))
  188. #define d_cosh(x) (cosh(*(x)))
  189. #define d_dim(__a, __b) ( *(__a) > *(__b) ? *(__a) - *(__b) : 0.0 )
  190. #define d_exp(x) (exp(*(x)))
  191. #define d_imag(z) (cimag(Cd(z)))
  192. #define r_imag(z) (cimagf(Cf(z)))
  193. #define d_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  194. #define r_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  195. #define d_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  196. #define r_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  197. #define d_log(x) (log(*(x)))
  198. #define d_mod(x, y) (fmod(*(x), *(y)))
  199. #define u_nint(__x) ((__x)>=0 ? floor((__x) + .5) : -floor(.5 - (__x)))
  200. #define d_nint(x) u_nint(*(x))
  201. #define u_sign(__a,__b) ((__b) >= 0 ? ((__a) >= 0 ? (__a) : -(__a)) : -((__a) >= 0 ? (__a) : -(__a)))
  202. #define d_sign(a,b) u_sign(*(a),*(b))
  203. #define r_sign(a,b) u_sign(*(a),*(b))
  204. #define d_sin(x) (sin(*(x)))
  205. #define d_sinh(x) (sinh(*(x)))
  206. #define d_sqrt(x) (sqrt(*(x)))
  207. #define d_tan(x) (tan(*(x)))
  208. #define d_tanh(x) (tanh(*(x)))
  209. #define i_abs(x) abs(*(x))
  210. #define i_dnnt(x) ((integer)u_nint(*(x)))
  211. #define i_len(s, n) (n)
  212. #define i_nint(x) ((integer)u_nint(*(x)))
  213. #define i_sign(a,b) ((integer)u_sign((integer)*(a),(integer)*(b)))
  214. #define pow_dd(ap, bp) ( pow(*(ap), *(bp)))
  215. #define pow_si(B,E) spow_ui(*(B),*(E))
  216. #define pow_ri(B,E) spow_ui(*(B),*(E))
  217. #define pow_di(B,E) dpow_ui(*(B),*(E))
  218. #define pow_zi(p, a, b) {pCd(p) = zpow_ui(Cd(a), *(b));}
  219. #define pow_ci(p, a, b) {pCf(p) = cpow_ui(Cf(a), *(b));}
  220. #define pow_zz(R,A,B) {pCd(R) = cpow(Cd(A),*(B));}
  221. #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++ = ' '; }
  222. #define s_cmp(a,b,c,d) ((integer)strncmp((a),(b),f2cmin((c),(d))))
  223. #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]; }
  224. #define sig_die(s, kill) { exit(1); }
  225. #define s_stop(s, n) {exit(0);}
  226. #define z_abs(z) (cabs(Cd(z)))
  227. #define z_exp(R, Z) {pCd(R) = cexp(Cd(Z));}
  228. #define z_sqrt(R, Z) {pCd(R) = csqrt(Cd(Z));}
  229. #define myexit_() break;
  230. #define mycycle() continue;
  231. #define myceiling(w) {ceil(w)}
  232. #define myhuge(w) {HUGE_VAL}
  233. //#define mymaxloc_(w,s,e,n) {if (sizeof(*(w)) == sizeof(double)) dmaxloc_((w),*(s),*(e),n); else dmaxloc_((w),*(s),*(e),n);}
  234. #define mymaxloc(w,s,e,n) {dmaxloc_(w,*(s),*(e),n)}
  235. /* procedure parameter types for -A and -C++ */
  236. /* > \brief \b SLARND */
  237. /* =========== DOCUMENTATION =========== */
  238. /* Online html documentation available at */
  239. /* http://www.netlib.org/lapack/explore-html/ */
  240. /* Definition: */
  241. /* =========== */
  242. /* REAL FUNCTION SLARND( IDIST, ISEED ) */
  243. /* INTEGER IDIST */
  244. /* INTEGER ISEED( 4 ) */
  245. /* > \par Purpose: */
  246. /* ============= */
  247. /* > */
  248. /* > \verbatim */
  249. /* > */
  250. /* > SLARND returns a random real number from a uniform or normal */
  251. /* > distribution. */
  252. /* > \endverbatim */
  253. /* Arguments: */
  254. /* ========== */
  255. /* > \param[in] IDIST */
  256. /* > \verbatim */
  257. /* > IDIST is INTEGER */
  258. /* > Specifies the distribution of the random numbers: */
  259. /* > = 1: uniform (0,1) */
  260. /* > = 2: uniform (-1,1) */
  261. /* > = 3: normal (0,1) */
  262. /* > \endverbatim */
  263. /* > */
  264. /* > \param[in,out] ISEED */
  265. /* > \verbatim */
  266. /* > ISEED is INTEGER array, dimension (4) */
  267. /* > On entry, the seed of the random number generator; the array */
  268. /* > elements must be between 0 and 4095, and ISEED(4) must be */
  269. /* > odd. */
  270. /* > On exit, the seed is updated. */
  271. /* > \endverbatim */
  272. /* Authors: */
  273. /* ======== */
  274. /* > \author Univ. of Tennessee */
  275. /* > \author Univ. of California Berkeley */
  276. /* > \author Univ. of Colorado Denver */
  277. /* > \author NAG Ltd. */
  278. /* > \date December 2016 */
  279. /* > \ingroup real_matgen */
  280. /* > \par Further Details: */
  281. /* ===================== */
  282. /* > */
  283. /* > \verbatim */
  284. /* > */
  285. /* > This routine calls the auxiliary routine SLARAN to generate a random */
  286. /* > real number from a uniform (0,1) distribution. The Box-Muller method */
  287. /* > is used to transform numbers from a uniform to a normal distribution. */
  288. /* > \endverbatim */
  289. /* > */
  290. /* ===================================================================== */
  291. real slarnd_(integer *idist, integer *iseed)
  292. {
  293. /* System generated locals */
  294. real ret_val;
  295. /* Local variables */
  296. real t1, t2;
  297. extern real slaran_(integer *);
  298. /* -- LAPACK auxiliary routine (version 3.7.0) -- */
  299. /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
  300. /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  301. /* December 2016 */
  302. /* ===================================================================== */
  303. /* Generate a real random number from a uniform (0,1) distribution */
  304. /* Parameter adjustments */
  305. --iseed;
  306. /* Function Body */
  307. t1 = slaran_(&iseed[1]);
  308. if (*idist == 1) {
  309. /* uniform (0,1) */
  310. ret_val = t1;
  311. } else if (*idist == 2) {
  312. /* uniform (-1,1) */
  313. ret_val = t1 * 2.f - 1.f;
  314. } else if (*idist == 3) {
  315. /* normal (0,1) */
  316. t2 = slaran_(&iseed[1]);
  317. ret_val = sqrt(log(t1) * -2.f) * cos(t2 *
  318. 6.2831853071795864769252867663f);
  319. }
  320. return ret_val;
  321. /* End of SLARND */
  322. } /* slarnd_ */