ieee754.h 12 KB

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  1. /*
  2. * MIPS floating point support
  3. * Copyright (C) 1994-2000 Algorithmics Ltd.
  4. * http://www.algor.co.uk
  5. *
  6. * This program is free software; you can distribute it and/or modify it
  7. * under the terms of the GNU General Public License (Version 2) as
  8. * published by the Free Software Foundation.
  9. *
  10. * This program is distributed in the hope it will be useful, but WITHOUT
  11. * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
  12. * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
  13. * for more details.
  14. *
  15. * You should have received a copy of the GNU General Public License along
  16. * with this program; if not, write to the Free Software Foundation, Inc.,
  17. * 59 Temple Place - Suite 330, Boston MA 02111-1307, USA.
  18. *
  19. * Nov 7, 2000
  20. * Modification to allow integration with Linux kernel
  21. *
  22. * Kevin D. Kissell, kevink@mips.com and Carsten Langgard, carstenl@mips.com
  23. * Copyright (C) 2000 MIPS Technologies, Inc. All rights reserved.
  24. */
  25. #ifndef __ARCH_MIPS_MATH_EMU_IEEE754_H
  26. #define __ARCH_MIPS_MATH_EMU_IEEE754_H
  27. #include <asm/byteorder.h>
  28. #include <linux/types.h>
  29. #include <linux/sched.h>
  30. /*
  31. * Not very pretty, but the Linux kernel's normal va_list definition
  32. * does not allow it to be used as a structure element, as it is here.
  33. */
  34. #ifndef _STDARG_H
  35. #include <stdarg.h>
  36. #endif
  37. #ifdef __LITTLE_ENDIAN
  38. struct ieee754dp_konst {
  39. unsigned mantlo:32;
  40. unsigned manthi:20;
  41. unsigned bexp:11;
  42. unsigned sign:1;
  43. };
  44. struct ieee754sp_konst {
  45. unsigned mant:23;
  46. unsigned bexp:8;
  47. unsigned sign:1;
  48. };
  49. typedef union _ieee754dp {
  50. struct ieee754dp_konst oparts;
  51. struct {
  52. u64 mant:52;
  53. unsigned int bexp:11;
  54. unsigned int sign:1;
  55. } parts;
  56. u64 bits;
  57. double d;
  58. } ieee754dp;
  59. typedef union _ieee754sp {
  60. struct ieee754sp_konst parts;
  61. float f;
  62. u32 bits;
  63. } ieee754sp;
  64. #endif
  65. #ifdef __BIG_ENDIAN
  66. struct ieee754dp_konst {
  67. unsigned sign:1;
  68. unsigned bexp:11;
  69. unsigned manthi:20;
  70. unsigned mantlo:32;
  71. };
  72. typedef union _ieee754dp {
  73. struct ieee754dp_konst oparts;
  74. struct {
  75. unsigned int sign:1;
  76. unsigned int bexp:11;
  77. u64 mant:52;
  78. } parts;
  79. double d;
  80. u64 bits;
  81. } ieee754dp;
  82. struct ieee754sp_konst {
  83. unsigned sign:1;
  84. unsigned bexp:8;
  85. unsigned mant:23;
  86. };
  87. typedef union _ieee754sp {
  88. struct ieee754sp_konst parts;
  89. float f;
  90. u32 bits;
  91. } ieee754sp;
  92. #endif
  93. /*
  94. * single precision (often aka float)
  95. */
  96. int ieee754sp_finite(ieee754sp x);
  97. int ieee754sp_class(ieee754sp x);
  98. ieee754sp ieee754sp_abs(ieee754sp x);
  99. ieee754sp ieee754sp_neg(ieee754sp x);
  100. ieee754sp ieee754sp_scalb(ieee754sp x, int);
  101. ieee754sp ieee754sp_logb(ieee754sp x);
  102. /* x with sign of y */
  103. ieee754sp ieee754sp_copysign(ieee754sp x, ieee754sp y);
  104. ieee754sp ieee754sp_add(ieee754sp x, ieee754sp y);
  105. ieee754sp ieee754sp_sub(ieee754sp x, ieee754sp y);
  106. ieee754sp ieee754sp_mul(ieee754sp x, ieee754sp y);
  107. ieee754sp ieee754sp_div(ieee754sp x, ieee754sp y);
  108. ieee754sp ieee754sp_fint(int x);
  109. ieee754sp ieee754sp_funs(unsigned x);
  110. ieee754sp ieee754sp_flong(s64 x);
  111. ieee754sp ieee754sp_fulong(u64 x);
  112. ieee754sp ieee754sp_fdp(ieee754dp x);
  113. int ieee754sp_tint(ieee754sp x);
  114. unsigned int ieee754sp_tuns(ieee754sp x);
  115. s64 ieee754sp_tlong(ieee754sp x);
  116. u64 ieee754sp_tulong(ieee754sp x);
  117. int ieee754sp_cmp(ieee754sp x, ieee754sp y, int cop, int sig);
  118. /*
  119. * basic sp math
  120. */
  121. ieee754sp ieee754sp_modf(ieee754sp x, ieee754sp * ip);
  122. ieee754sp ieee754sp_frexp(ieee754sp x, int *exp);
  123. ieee754sp ieee754sp_ldexp(ieee754sp x, int exp);
  124. ieee754sp ieee754sp_ceil(ieee754sp x);
  125. ieee754sp ieee754sp_floor(ieee754sp x);
  126. ieee754sp ieee754sp_trunc(ieee754sp x);
  127. ieee754sp ieee754sp_sqrt(ieee754sp x);
  128. /*
  129. * double precision (often aka double)
  130. */
  131. int ieee754dp_finite(ieee754dp x);
  132. int ieee754dp_class(ieee754dp x);
  133. /* x with sign of y */
  134. ieee754dp ieee754dp_copysign(ieee754dp x, ieee754dp y);
  135. ieee754dp ieee754dp_add(ieee754dp x, ieee754dp y);
  136. ieee754dp ieee754dp_sub(ieee754dp x, ieee754dp y);
  137. ieee754dp ieee754dp_mul(ieee754dp x, ieee754dp y);
  138. ieee754dp ieee754dp_div(ieee754dp x, ieee754dp y);
  139. ieee754dp ieee754dp_abs(ieee754dp x);
  140. ieee754dp ieee754dp_neg(ieee754dp x);
  141. ieee754dp ieee754dp_scalb(ieee754dp x, int);
  142. /* return exponent as integer in floating point format
  143. */
  144. ieee754dp ieee754dp_logb(ieee754dp x);
  145. ieee754dp ieee754dp_fint(int x);
  146. ieee754dp ieee754dp_funs(unsigned x);
  147. ieee754dp ieee754dp_flong(s64 x);
  148. ieee754dp ieee754dp_fulong(u64 x);
  149. ieee754dp ieee754dp_fsp(ieee754sp x);
  150. ieee754dp ieee754dp_ceil(ieee754dp x);
  151. ieee754dp ieee754dp_floor(ieee754dp x);
  152. ieee754dp ieee754dp_trunc(ieee754dp x);
  153. int ieee754dp_tint(ieee754dp x);
  154. unsigned int ieee754dp_tuns(ieee754dp x);
  155. s64 ieee754dp_tlong(ieee754dp x);
  156. u64 ieee754dp_tulong(ieee754dp x);
  157. int ieee754dp_cmp(ieee754dp x, ieee754dp y, int cop, int sig);
  158. /*
  159. * basic sp math
  160. */
  161. ieee754dp ieee754dp_modf(ieee754dp x, ieee754dp * ip);
  162. ieee754dp ieee754dp_frexp(ieee754dp x, int *exp);
  163. ieee754dp ieee754dp_ldexp(ieee754dp x, int exp);
  164. ieee754dp ieee754dp_ceil(ieee754dp x);
  165. ieee754dp ieee754dp_floor(ieee754dp x);
  166. ieee754dp ieee754dp_trunc(ieee754dp x);
  167. ieee754dp ieee754dp_sqrt(ieee754dp x);
  168. /* 5 types of floating point number
  169. */
  170. #define IEEE754_CLASS_NORM 0x00
  171. #define IEEE754_CLASS_ZERO 0x01
  172. #define IEEE754_CLASS_DNORM 0x02
  173. #define IEEE754_CLASS_INF 0x03
  174. #define IEEE754_CLASS_SNAN 0x04
  175. #define IEEE754_CLASS_QNAN 0x05
  176. /* exception numbers */
  177. #define IEEE754_INEXACT 0x01
  178. #define IEEE754_UNDERFLOW 0x02
  179. #define IEEE754_OVERFLOW 0x04
  180. #define IEEE754_ZERO_DIVIDE 0x08
  181. #define IEEE754_INVALID_OPERATION 0x10
  182. /* cmp operators
  183. */
  184. #define IEEE754_CLT 0x01
  185. #define IEEE754_CEQ 0x02
  186. #define IEEE754_CGT 0x04
  187. #define IEEE754_CUN 0x08
  188. /* rounding mode
  189. */
  190. #define IEEE754_RN 0 /* round to nearest */
  191. #define IEEE754_RZ 1 /* round toward zero */
  192. #define IEEE754_RD 2 /* round toward -Infinity */
  193. #define IEEE754_RU 3 /* round toward +Infinity */
  194. /* other naming */
  195. #define IEEE754_RM IEEE754_RD
  196. #define IEEE754_RP IEEE754_RU
  197. /* "normal" comparisons
  198. */
  199. static inline int ieee754sp_eq(ieee754sp x, ieee754sp y)
  200. {
  201. return ieee754sp_cmp(x, y, IEEE754_CEQ, 0);
  202. }
  203. static inline int ieee754sp_ne(ieee754sp x, ieee754sp y)
  204. {
  205. return ieee754sp_cmp(x, y,
  206. IEEE754_CLT | IEEE754_CGT | IEEE754_CUN, 0);
  207. }
  208. static inline int ieee754sp_lt(ieee754sp x, ieee754sp y)
  209. {
  210. return ieee754sp_cmp(x, y, IEEE754_CLT, 0);
  211. }
  212. static inline int ieee754sp_le(ieee754sp x, ieee754sp y)
  213. {
  214. return ieee754sp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ, 0);
  215. }
  216. static inline int ieee754sp_gt(ieee754sp x, ieee754sp y)
  217. {
  218. return ieee754sp_cmp(x, y, IEEE754_CGT, 0);
  219. }
  220. static inline int ieee754sp_ge(ieee754sp x, ieee754sp y)
  221. {
  222. return ieee754sp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ, 0);
  223. }
  224. static inline int ieee754dp_eq(ieee754dp x, ieee754dp y)
  225. {
  226. return ieee754dp_cmp(x, y, IEEE754_CEQ, 0);
  227. }
  228. static inline int ieee754dp_ne(ieee754dp x, ieee754dp y)
  229. {
  230. return ieee754dp_cmp(x, y,
  231. IEEE754_CLT | IEEE754_CGT | IEEE754_CUN, 0);
  232. }
  233. static inline int ieee754dp_lt(ieee754dp x, ieee754dp y)
  234. {
  235. return ieee754dp_cmp(x, y, IEEE754_CLT, 0);
  236. }
  237. static inline int ieee754dp_le(ieee754dp x, ieee754dp y)
  238. {
  239. return ieee754dp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ, 0);
  240. }
  241. static inline int ieee754dp_gt(ieee754dp x, ieee754dp y)
  242. {
  243. return ieee754dp_cmp(x, y, IEEE754_CGT, 0);
  244. }
  245. static inline int ieee754dp_ge(ieee754dp x, ieee754dp y)
  246. {
  247. return ieee754dp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ, 0);
  248. }
  249. /*
  250. * Like strtod
  251. */
  252. ieee754dp ieee754dp_fstr(const char *s, char **endp);
  253. char *ieee754dp_tstr(ieee754dp x, int prec, int fmt, int af);
  254. /*
  255. * The control status register
  256. */
  257. struct _ieee754_csr {
  258. #ifdef __BIG_ENDIAN
  259. unsigned pad0:7;
  260. unsigned nod:1; /* set 1 for no denormalised numbers */
  261. unsigned c:1; /* condition */
  262. unsigned pad1:5;
  263. unsigned cx:6; /* exceptions this operation */
  264. unsigned mx:5; /* exception enable mask */
  265. unsigned sx:5; /* exceptions total */
  266. unsigned rm:2; /* current rounding mode */
  267. #endif
  268. #ifdef __LITTLE_ENDIAN
  269. unsigned rm:2; /* current rounding mode */
  270. unsigned sx:5; /* exceptions total */
  271. unsigned mx:5; /* exception enable mask */
  272. unsigned cx:6; /* exceptions this operation */
  273. unsigned pad1:5;
  274. unsigned c:1; /* condition */
  275. unsigned nod:1; /* set 1 for no denormalised numbers */
  276. unsigned pad0:7;
  277. #endif
  278. };
  279. #define ieee754_csr (*(struct _ieee754_csr *)(&current->thread.fpu.fcr31))
  280. static inline unsigned ieee754_getrm(void)
  281. {
  282. return (ieee754_csr.rm);
  283. }
  284. static inline unsigned ieee754_setrm(unsigned rm)
  285. {
  286. return (ieee754_csr.rm = rm);
  287. }
  288. /*
  289. * get current exceptions
  290. */
  291. static inline unsigned ieee754_getcx(void)
  292. {
  293. return (ieee754_csr.cx);
  294. }
  295. /* test for current exception condition
  296. */
  297. static inline int ieee754_cxtest(unsigned n)
  298. {
  299. return (ieee754_csr.cx & n);
  300. }
  301. /*
  302. * get sticky exceptions
  303. */
  304. static inline unsigned ieee754_getsx(void)
  305. {
  306. return (ieee754_csr.sx);
  307. }
  308. /* clear sticky conditions
  309. */
  310. static inline unsigned ieee754_clrsx(void)
  311. {
  312. return (ieee754_csr.sx = 0);
  313. }
  314. /* test for sticky exception condition
  315. */
  316. static inline int ieee754_sxtest(unsigned n)
  317. {
  318. return (ieee754_csr.sx & n);
  319. }
  320. /* debugging */
  321. ieee754sp ieee754sp_dump(char *s, ieee754sp x);
  322. ieee754dp ieee754dp_dump(char *s, ieee754dp x);
  323. #define IEEE754_SPCVAL_PZERO 0
  324. #define IEEE754_SPCVAL_NZERO 1
  325. #define IEEE754_SPCVAL_PONE 2
  326. #define IEEE754_SPCVAL_NONE 3
  327. #define IEEE754_SPCVAL_PTEN 4
  328. #define IEEE754_SPCVAL_NTEN 5
  329. #define IEEE754_SPCVAL_PINFINITY 6
  330. #define IEEE754_SPCVAL_NINFINITY 7
  331. #define IEEE754_SPCVAL_INDEF 8
  332. #define IEEE754_SPCVAL_PMAX 9 /* +max norm */
  333. #define IEEE754_SPCVAL_NMAX 10 /* -max norm */
  334. #define IEEE754_SPCVAL_PMIN 11 /* +min norm */
  335. #define IEEE754_SPCVAL_NMIN 12 /* +min norm */
  336. #define IEEE754_SPCVAL_PMIND 13 /* +min denorm */
  337. #define IEEE754_SPCVAL_NMIND 14 /* +min denorm */
  338. #define IEEE754_SPCVAL_P1E31 15 /* + 1.0e31 */
  339. #define IEEE754_SPCVAL_P1E63 16 /* + 1.0e63 */
  340. extern const struct ieee754dp_konst __ieee754dp_spcvals[];
  341. extern const struct ieee754sp_konst __ieee754sp_spcvals[];
  342. #define ieee754dp_spcvals ((const ieee754dp *)__ieee754dp_spcvals)
  343. #define ieee754sp_spcvals ((const ieee754sp *)__ieee754sp_spcvals)
  344. /*
  345. * Return infinity with given sign
  346. */
  347. #define ieee754dp_inf(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
  348. #define ieee754dp_zero(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
  349. #define ieee754dp_one(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
  350. #define ieee754dp_ten(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
  351. #define ieee754dp_indef() (ieee754dp_spcvals[IEEE754_SPCVAL_INDEF])
  352. #define ieee754dp_max(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
  353. #define ieee754dp_min(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
  354. #define ieee754dp_mind(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
  355. #define ieee754dp_1e31() (ieee754dp_spcvals[IEEE754_SPCVAL_P1E31])
  356. #define ieee754dp_1e63() (ieee754dp_spcvals[IEEE754_SPCVAL_P1E63])
  357. #define ieee754sp_inf(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
  358. #define ieee754sp_zero(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
  359. #define ieee754sp_one(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
  360. #define ieee754sp_ten(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
  361. #define ieee754sp_indef() (ieee754sp_spcvals[IEEE754_SPCVAL_INDEF])
  362. #define ieee754sp_max(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
  363. #define ieee754sp_min(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
  364. #define ieee754sp_mind(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
  365. #define ieee754sp_1e31() (ieee754sp_spcvals[IEEE754_SPCVAL_P1E31])
  366. #define ieee754sp_1e63() (ieee754sp_spcvals[IEEE754_SPCVAL_P1E63])
  367. /*
  368. * Indefinite integer value
  369. */
  370. #define ieee754si_indef() INT_MAX
  371. #ifdef LONG_LONG_MAX
  372. #define ieee754di_indef() LONG_LONG_MAX
  373. #else
  374. #define ieee754di_indef() ((s64)(~0ULL>>1))
  375. #endif
  376. /* IEEE exception context, passed to handler */
  377. struct ieee754xctx {
  378. const char *op; /* operation name */
  379. int rt; /* result type */
  380. union {
  381. ieee754sp sp; /* single precision */
  382. ieee754dp dp; /* double precision */
  383. #ifdef IEEE854_XP
  384. ieee754xp xp; /* extended precision */
  385. #endif
  386. int si; /* standard signed integer (32bits) */
  387. s64 di; /* extended signed integer (64bits) */
  388. } rv; /* default result format implied by op */
  389. va_list ap;
  390. };
  391. /* result types for xctx.rt */
  392. #define IEEE754_RT_SP 0
  393. #define IEEE754_RT_DP 1
  394. #define IEEE754_RT_XP 2
  395. #define IEEE754_RT_SI 3
  396. #define IEEE754_RT_DI 4
  397. extern void ieee754_xcpt(struct ieee754xctx *xcp);
  398. /* compat */
  399. #define ieee754dp_fix(x) ieee754dp_tint(x)
  400. #define ieee754sp_fix(x) ieee754sp_tint(x)
  401. #endif /* __ARCH_MIPS_MATH_EMU_IEEE754_H */