ieee754.h 12 KB

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