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 <stdarg.h>
  27. #include <linux/compiler.h>
  28. #include <asm/byteorder.h>
  29. #include <linux/kernel.h>
  30. #include <linux/types.h>
  31. #include <linux/sched.h>
  32. #include <asm/bitfield.h>
  33. struct ieee754dp_const {
  34. __BITFIELD_FIELD(unsigned sign:1,
  35. __BITFIELD_FIELD(unsigned bexp:11,
  36. __BITFIELD_FIELD(unsigned manthi:20,
  37. __BITFIELD_FIELD(unsigned mantlo:32,
  38. ;))))
  39. };
  40. union ieee754dp {
  41. struct ieee754dp_const oparts;
  42. struct {
  43. __BITFIELD_FIELD(unsigned int sign:1,
  44. __BITFIELD_FIELD(unsigned int bexp:11,
  45. __BITFIELD_FIELD(u64 mant:52,
  46. ;)))
  47. } parts;
  48. double d;
  49. u64 bits;
  50. };
  51. struct ieee754sp_const {
  52. __BITFIELD_FIELD(unsigned sign:1,
  53. __BITFIELD_FIELD(unsigned bexp:8,
  54. __BITFIELD_FIELD(unsigned mant:23,
  55. ;)))
  56. };
  57. union ieee754sp {
  58. struct ieee754sp_const parts;
  59. float f;
  60. u32 bits;
  61. };
  62. /*
  63. * single precision (often aka float)
  64. */
  65. int ieee754sp_class(union ieee754sp x);
  66. union ieee754sp ieee754sp_abs(union ieee754sp x);
  67. union ieee754sp ieee754sp_neg(union ieee754sp x);
  68. union ieee754sp ieee754sp_scalb(union ieee754sp x, int);
  69. union ieee754sp ieee754sp_logb(union ieee754sp x);
  70. /* x with sign of y */
  71. union ieee754sp ieee754sp_copysign(union ieee754sp x, union ieee754sp y);
  72. union ieee754sp ieee754sp_add(union ieee754sp x, union ieee754sp y);
  73. union ieee754sp ieee754sp_sub(union ieee754sp x, union ieee754sp y);
  74. union ieee754sp ieee754sp_mul(union ieee754sp x, union ieee754sp y);
  75. union ieee754sp ieee754sp_div(union ieee754sp x, union ieee754sp y);
  76. union ieee754sp ieee754sp_fint(int x);
  77. union ieee754sp ieee754sp_funs(unsigned x);
  78. union ieee754sp ieee754sp_flong(s64 x);
  79. union ieee754sp ieee754sp_fulong(u64 x);
  80. union ieee754sp ieee754sp_fdp(union ieee754dp x);
  81. int ieee754sp_tint(union ieee754sp x);
  82. unsigned int ieee754sp_tuns(union ieee754sp x);
  83. s64 ieee754sp_tlong(union ieee754sp x);
  84. u64 ieee754sp_tulong(union ieee754sp x);
  85. int ieee754sp_cmp(union ieee754sp x, union ieee754sp y, int cop, int sig);
  86. /*
  87. * basic sp math
  88. */
  89. union ieee754sp ieee754sp_modf(union ieee754sp x, union ieee754sp * ip);
  90. union ieee754sp ieee754sp_frexp(union ieee754sp x, int *exp);
  91. union ieee754sp ieee754sp_ldexp(union ieee754sp x, int exp);
  92. union ieee754sp ieee754sp_ceil(union ieee754sp x);
  93. union ieee754sp ieee754sp_floor(union ieee754sp x);
  94. union ieee754sp ieee754sp_trunc(union ieee754sp x);
  95. union ieee754sp ieee754sp_sqrt(union ieee754sp x);
  96. /*
  97. * double precision (often aka double)
  98. */
  99. int ieee754dp_class(union ieee754dp x);
  100. /* x with sign of y */
  101. union ieee754dp ieee754dp_copysign(union ieee754dp x, union ieee754dp y);
  102. union ieee754dp ieee754dp_add(union ieee754dp x, union ieee754dp y);
  103. union ieee754dp ieee754dp_sub(union ieee754dp x, union ieee754dp y);
  104. union ieee754dp ieee754dp_mul(union ieee754dp x, union ieee754dp y);
  105. union ieee754dp ieee754dp_div(union ieee754dp x, union ieee754dp y);
  106. union ieee754dp ieee754dp_abs(union ieee754dp x);
  107. union ieee754dp ieee754dp_neg(union ieee754dp x);
  108. union ieee754dp ieee754dp_scalb(union ieee754dp x, int);
  109. /* return exponent as integer in floating point format
  110. */
  111. union ieee754dp ieee754dp_logb(union ieee754dp x);
  112. union ieee754dp ieee754dp_fint(int x);
  113. union ieee754dp ieee754dp_funs(unsigned x);
  114. union ieee754dp ieee754dp_flong(s64 x);
  115. union ieee754dp ieee754dp_fulong(u64 x);
  116. union ieee754dp ieee754dp_fsp(union ieee754sp x);
  117. union ieee754dp ieee754dp_ceil(union ieee754dp x);
  118. union ieee754dp ieee754dp_floor(union ieee754dp x);
  119. union ieee754dp ieee754dp_trunc(union ieee754dp x);
  120. int ieee754dp_tint(union ieee754dp x);
  121. unsigned int ieee754dp_tuns(union ieee754dp x);
  122. s64 ieee754dp_tlong(union ieee754dp x);
  123. u64 ieee754dp_tulong(union ieee754dp x);
  124. int ieee754dp_cmp(union ieee754dp x, union ieee754dp y, int cop, int sig);
  125. /*
  126. * basic sp math
  127. */
  128. union ieee754dp ieee754dp_modf(union ieee754dp x, union ieee754dp * ip);
  129. union ieee754dp ieee754dp_frexp(union ieee754dp x, int *exp);
  130. union ieee754dp ieee754dp_ldexp(union ieee754dp x, int exp);
  131. union ieee754dp ieee754dp_ceil(union ieee754dp x);
  132. union ieee754dp ieee754dp_floor(union ieee754dp x);
  133. union ieee754dp ieee754dp_trunc(union ieee754dp x);
  134. union ieee754dp ieee754dp_sqrt(union ieee754dp x);
  135. /* 5 types of floating point number
  136. */
  137. enum {
  138. IEEE754_CLASS_NORM = 0x00,
  139. IEEE754_CLASS_ZERO = 0x01,
  140. IEEE754_CLASS_DNORM = 0x02,
  141. IEEE754_CLASS_INF = 0x03,
  142. IEEE754_CLASS_SNAN = 0x04,
  143. IEEE754_CLASS_QNAN = 0x05,
  144. };
  145. /* exception numbers */
  146. #define IEEE754_INEXACT 0x01
  147. #define IEEE754_UNDERFLOW 0x02
  148. #define IEEE754_OVERFLOW 0x04
  149. #define IEEE754_ZERO_DIVIDE 0x08
  150. #define IEEE754_INVALID_OPERATION 0x10
  151. /* cmp operators
  152. */
  153. #define IEEE754_CLT 0x01
  154. #define IEEE754_CEQ 0x02
  155. #define IEEE754_CGT 0x04
  156. #define IEEE754_CUN 0x08
  157. /* rounding mode
  158. */
  159. #define IEEE754_RN 0 /* round to nearest */
  160. #define IEEE754_RZ 1 /* round toward zero */
  161. #define IEEE754_RD 2 /* round toward -Infinity */
  162. #define IEEE754_RU 3 /* round toward +Infinity */
  163. /* other naming */
  164. #define IEEE754_RM IEEE754_RD
  165. #define IEEE754_RP IEEE754_RU
  166. /* "normal" comparisons
  167. */
  168. static inline int ieee754sp_eq(union ieee754sp x, union ieee754sp y)
  169. {
  170. return ieee754sp_cmp(x, y, IEEE754_CEQ, 0);
  171. }
  172. static inline int ieee754sp_ne(union ieee754sp x, union ieee754sp y)
  173. {
  174. return ieee754sp_cmp(x, y,
  175. IEEE754_CLT | IEEE754_CGT | IEEE754_CUN, 0);
  176. }
  177. static inline int ieee754sp_lt(union ieee754sp x, union ieee754sp y)
  178. {
  179. return ieee754sp_cmp(x, y, IEEE754_CLT, 0);
  180. }
  181. static inline int ieee754sp_le(union ieee754sp x, union ieee754sp y)
  182. {
  183. return ieee754sp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ, 0);
  184. }
  185. static inline int ieee754sp_gt(union ieee754sp x, union ieee754sp y)
  186. {
  187. return ieee754sp_cmp(x, y, IEEE754_CGT, 0);
  188. }
  189. static inline int ieee754sp_ge(union ieee754sp x, union ieee754sp y)
  190. {
  191. return ieee754sp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ, 0);
  192. }
  193. static inline int ieee754dp_eq(union ieee754dp x, union ieee754dp y)
  194. {
  195. return ieee754dp_cmp(x, y, IEEE754_CEQ, 0);
  196. }
  197. static inline int ieee754dp_ne(union ieee754dp x, union ieee754dp y)
  198. {
  199. return ieee754dp_cmp(x, y,
  200. IEEE754_CLT | IEEE754_CGT | IEEE754_CUN, 0);
  201. }
  202. static inline int ieee754dp_lt(union ieee754dp x, union ieee754dp y)
  203. {
  204. return ieee754dp_cmp(x, y, IEEE754_CLT, 0);
  205. }
  206. static inline int ieee754dp_le(union ieee754dp x, union ieee754dp y)
  207. {
  208. return ieee754dp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ, 0);
  209. }
  210. static inline int ieee754dp_gt(union ieee754dp x, union ieee754dp y)
  211. {
  212. return ieee754dp_cmp(x, y, IEEE754_CGT, 0);
  213. }
  214. static inline int ieee754dp_ge(union ieee754dp x, union ieee754dp y)
  215. {
  216. return ieee754dp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ, 0);
  217. }
  218. /*
  219. * Like strtod
  220. */
  221. union ieee754dp ieee754dp_fstr(const char *s, char **endp);
  222. char *ieee754dp_tstr(union ieee754dp x, int prec, int fmt, int af);
  223. /*
  224. * The control status register
  225. */
  226. struct _ieee754_csr {
  227. __BITFIELD_FIELD(unsigned pad0:7,
  228. __BITFIELD_FIELD(unsigned nod:1, /* set 1 for no denormalised numbers */
  229. __BITFIELD_FIELD(unsigned c:1, /* condition */
  230. __BITFIELD_FIELD(unsigned pad1:5,
  231. __BITFIELD_FIELD(unsigned cx:6, /* exceptions this operation */
  232. __BITFIELD_FIELD(unsigned mx:5, /* exception enable mask */
  233. __BITFIELD_FIELD(unsigned sx:5, /* exceptions total */
  234. __BITFIELD_FIELD(unsigned rm:2, /* current rounding mode */
  235. ;))))))))
  236. };
  237. #define ieee754_csr (*(struct _ieee754_csr *)(&current->thread.fpu.fcr31))
  238. static inline unsigned ieee754_getrm(void)
  239. {
  240. return (ieee754_csr.rm);
  241. }
  242. static inline unsigned ieee754_setrm(unsigned rm)
  243. {
  244. return (ieee754_csr.rm = rm);
  245. }
  246. /*
  247. * get current exceptions
  248. */
  249. static inline unsigned ieee754_getcx(void)
  250. {
  251. return (ieee754_csr.cx);
  252. }
  253. /* test for current exception condition
  254. */
  255. static inline int ieee754_cxtest(unsigned n)
  256. {
  257. return (ieee754_csr.cx & n);
  258. }
  259. /*
  260. * get sticky exceptions
  261. */
  262. static inline unsigned ieee754_getsx(void)
  263. {
  264. return (ieee754_csr.sx);
  265. }
  266. /* clear sticky conditions
  267. */
  268. static inline unsigned ieee754_clrsx(void)
  269. {
  270. return (ieee754_csr.sx = 0);
  271. }
  272. /* test for sticky exception condition
  273. */
  274. static inline int ieee754_sxtest(unsigned n)
  275. {
  276. return (ieee754_csr.sx & n);
  277. }
  278. /* debugging */
  279. union ieee754sp ieee754sp_dump(char *s, union ieee754sp x);
  280. union ieee754dp ieee754dp_dump(char *s, union ieee754dp x);
  281. #define IEEE754_SPCVAL_PZERO 0
  282. #define IEEE754_SPCVAL_NZERO 1
  283. #define IEEE754_SPCVAL_PONE 2
  284. #define IEEE754_SPCVAL_NONE 3
  285. #define IEEE754_SPCVAL_PTEN 4
  286. #define IEEE754_SPCVAL_NTEN 5
  287. #define IEEE754_SPCVAL_PINFINITY 6
  288. #define IEEE754_SPCVAL_NINFINITY 7
  289. #define IEEE754_SPCVAL_INDEF 8
  290. #define IEEE754_SPCVAL_PMAX 9 /* +max norm */
  291. #define IEEE754_SPCVAL_NMAX 10 /* -max norm */
  292. #define IEEE754_SPCVAL_PMIN 11 /* +min norm */
  293. #define IEEE754_SPCVAL_NMIN 12 /* +min norm */
  294. #define IEEE754_SPCVAL_PMIND 13 /* +min denorm */
  295. #define IEEE754_SPCVAL_NMIND 14 /* +min denorm */
  296. #define IEEE754_SPCVAL_P1E31 15 /* + 1.0e31 */
  297. #define IEEE754_SPCVAL_P1E63 16 /* + 1.0e63 */
  298. extern const struct ieee754dp_const __ieee754dp_spcvals[];
  299. extern const struct ieee754sp_const __ieee754sp_spcvals[];
  300. #define ieee754dp_spcvals ((const union ieee754dp *)__ieee754dp_spcvals)
  301. #define ieee754sp_spcvals ((const union ieee754sp *)__ieee754sp_spcvals)
  302. /*
  303. * Return infinity with given sign
  304. */
  305. #define ieee754dp_inf(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
  306. #define ieee754dp_zero(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
  307. #define ieee754dp_one(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
  308. #define ieee754dp_ten(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
  309. #define ieee754dp_indef() (ieee754dp_spcvals[IEEE754_SPCVAL_INDEF])
  310. #define ieee754dp_max(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
  311. #define ieee754dp_min(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
  312. #define ieee754dp_mind(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
  313. #define ieee754dp_1e31() (ieee754dp_spcvals[IEEE754_SPCVAL_P1E31])
  314. #define ieee754dp_1e63() (ieee754dp_spcvals[IEEE754_SPCVAL_P1E63])
  315. #define ieee754sp_inf(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
  316. #define ieee754sp_zero(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
  317. #define ieee754sp_one(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
  318. #define ieee754sp_ten(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
  319. #define ieee754sp_indef() (ieee754sp_spcvals[IEEE754_SPCVAL_INDEF])
  320. #define ieee754sp_max(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
  321. #define ieee754sp_min(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
  322. #define ieee754sp_mind(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
  323. #define ieee754sp_1e31() (ieee754sp_spcvals[IEEE754_SPCVAL_P1E31])
  324. #define ieee754sp_1e63() (ieee754sp_spcvals[IEEE754_SPCVAL_P1E63])
  325. /*
  326. * Indefinite integer value
  327. */
  328. static inline int ieee754si_indef(void)
  329. {
  330. return INT_MAX;
  331. }
  332. static inline s64 ieee754di_indef(void)
  333. {
  334. return S64_MAX;
  335. }
  336. /* IEEE exception context, passed to handler */
  337. struct ieee754xctx {
  338. const char *op; /* operation name */
  339. int rt; /* result type */
  340. union {
  341. union ieee754sp sp; /* single precision */
  342. union ieee754dp dp; /* double precision */
  343. int si; /* standard signed integer (32bits) */
  344. s64 di; /* extended signed integer (64bits) */
  345. } rv; /* default result format implied by op */
  346. va_list ap;
  347. };
  348. /* result types for xctx.rt */
  349. #define IEEE754_RT_SP 0
  350. #define IEEE754_RT_DP 1
  351. #define IEEE754_RT_XP 2
  352. #define IEEE754_RT_SI 3
  353. #define IEEE754_RT_DI 4
  354. extern void __cold ieee754_xcpt(struct ieee754xctx *xcp);
  355. /* compat */
  356. #define ieee754dp_fix(x) ieee754dp_tint(x)
  357. #define ieee754sp_fix(x) ieee754sp_tint(x)
  358. #endif /* __ARCH_MIPS_MATH_EMU_IEEE754_H */