ieee754.h (9992B)
1/* SPDX-License-Identifier: GPL-2.0-only */ 2/* 3 * MIPS floating point support 4 * Copyright (C) 1994-2000 Algorithmics Ltd. 5 * 6 * Nov 7, 2000 7 * Modification to allow integration with Linux kernel 8 * 9 * Kevin D. Kissell, kevink@mips.com and Carsten Langgard, carstenl@mips.com 10 * Copyright (C) 2000 MIPS Technologies, Inc. All rights reserved. 11 */ 12#ifndef __ARCH_MIPS_MATH_EMU_IEEE754_H 13#define __ARCH_MIPS_MATH_EMU_IEEE754_H 14 15#include <linux/compiler.h> 16#include <asm/byteorder.h> 17#include <linux/kernel.h> 18#include <linux/types.h> 19#include <linux/sched.h> 20#include <asm/bitfield.h> 21 22union ieee754dp { 23 struct { 24 __BITFIELD_FIELD(unsigned int sign:1, 25 __BITFIELD_FIELD(unsigned int bexp:11, 26 __BITFIELD_FIELD(u64 mant:52, 27 ;))) 28 }; 29 u64 bits; 30}; 31 32union ieee754sp { 33 struct { 34 __BITFIELD_FIELD(unsigned sign:1, 35 __BITFIELD_FIELD(unsigned bexp:8, 36 __BITFIELD_FIELD(unsigned mant:23, 37 ;))) 38 }; 39 u32 bits; 40}; 41 42/* 43 * single precision (often aka float) 44*/ 45int ieee754sp_class(union ieee754sp x); 46 47union ieee754sp ieee754sp_abs(union ieee754sp x); 48union ieee754sp ieee754sp_neg(union ieee754sp x); 49 50union ieee754sp ieee754sp_add(union ieee754sp x, union ieee754sp y); 51union ieee754sp ieee754sp_sub(union ieee754sp x, union ieee754sp y); 52union ieee754sp ieee754sp_mul(union ieee754sp x, union ieee754sp y); 53union ieee754sp ieee754sp_div(union ieee754sp x, union ieee754sp y); 54 55union ieee754sp ieee754sp_fint(int x); 56union ieee754sp ieee754sp_flong(s64 x); 57union ieee754sp ieee754sp_fdp(union ieee754dp x); 58union ieee754sp ieee754sp_rint(union ieee754sp x); 59 60int ieee754sp_tint(union ieee754sp x); 61s64 ieee754sp_tlong(union ieee754sp x); 62 63int ieee754sp_cmp(union ieee754sp x, union ieee754sp y, int cop, int sig); 64 65union ieee754sp ieee754sp_sqrt(union ieee754sp x); 66 67union ieee754sp ieee754sp_maddf(union ieee754sp z, union ieee754sp x, 68 union ieee754sp y); 69union ieee754sp ieee754sp_msubf(union ieee754sp z, union ieee754sp x, 70 union ieee754sp y); 71union ieee754sp ieee754sp_madd(union ieee754sp z, union ieee754sp x, 72 union ieee754sp y); 73union ieee754sp ieee754sp_msub(union ieee754sp z, union ieee754sp x, 74 union ieee754sp y); 75union ieee754sp ieee754sp_nmadd(union ieee754sp z, union ieee754sp x, 76 union ieee754sp y); 77union ieee754sp ieee754sp_nmsub(union ieee754sp z, union ieee754sp x, 78 union ieee754sp y); 79int ieee754sp_2008class(union ieee754sp x); 80union ieee754sp ieee754sp_fmin(union ieee754sp x, union ieee754sp y); 81union ieee754sp ieee754sp_fmina(union ieee754sp x, union ieee754sp y); 82union ieee754sp ieee754sp_fmax(union ieee754sp x, union ieee754sp y); 83union ieee754sp ieee754sp_fmaxa(union ieee754sp x, union ieee754sp y); 84 85/* 86 * double precision (often aka double) 87*/ 88int ieee754dp_class(union ieee754dp x); 89 90union ieee754dp ieee754dp_add(union ieee754dp x, union ieee754dp y); 91union ieee754dp ieee754dp_sub(union ieee754dp x, union ieee754dp y); 92union ieee754dp ieee754dp_mul(union ieee754dp x, union ieee754dp y); 93union ieee754dp ieee754dp_div(union ieee754dp x, union ieee754dp y); 94 95union ieee754dp ieee754dp_abs(union ieee754dp x); 96union ieee754dp ieee754dp_neg(union ieee754dp x); 97 98union ieee754dp ieee754dp_fint(int x); 99union ieee754dp ieee754dp_flong(s64 x); 100union ieee754dp ieee754dp_fsp(union ieee754sp x); 101union ieee754dp ieee754dp_rint(union ieee754dp x); 102 103int ieee754dp_tint(union ieee754dp x); 104s64 ieee754dp_tlong(union ieee754dp x); 105 106int ieee754dp_cmp(union ieee754dp x, union ieee754dp y, int cop, int sig); 107 108union ieee754dp ieee754dp_sqrt(union ieee754dp x); 109 110union ieee754dp ieee754dp_maddf(union ieee754dp z, union ieee754dp x, 111 union ieee754dp y); 112union ieee754dp ieee754dp_msubf(union ieee754dp z, union ieee754dp x, 113 union ieee754dp y); 114union ieee754dp ieee754dp_madd(union ieee754dp z, union ieee754dp x, 115 union ieee754dp y); 116union ieee754dp ieee754dp_msub(union ieee754dp z, union ieee754dp x, 117 union ieee754dp y); 118union ieee754dp ieee754dp_nmadd(union ieee754dp z, union ieee754dp x, 119 union ieee754dp y); 120union ieee754dp ieee754dp_nmsub(union ieee754dp z, union ieee754dp x, 121 union ieee754dp y); 122int ieee754dp_2008class(union ieee754dp x); 123union ieee754dp ieee754dp_fmin(union ieee754dp x, union ieee754dp y); 124union ieee754dp ieee754dp_fmina(union ieee754dp x, union ieee754dp y); 125union ieee754dp ieee754dp_fmax(union ieee754dp x, union ieee754dp y); 126union ieee754dp ieee754dp_fmaxa(union ieee754dp x, union ieee754dp y); 127 128 129/* 5 types of floating point number 130*/ 131enum { 132 IEEE754_CLASS_NORM = 0x00, 133 IEEE754_CLASS_ZERO = 0x01, 134 IEEE754_CLASS_DNORM = 0x02, 135 IEEE754_CLASS_INF = 0x03, 136 IEEE754_CLASS_SNAN = 0x04, 137 IEEE754_CLASS_QNAN = 0x05, 138}; 139 140/* exception numbers */ 141#define IEEE754_INEXACT 0x01 142#define IEEE754_UNDERFLOW 0x02 143#define IEEE754_OVERFLOW 0x04 144#define IEEE754_ZERO_DIVIDE 0x08 145#define IEEE754_INVALID_OPERATION 0x10 146 147/* cmp operators 148*/ 149#define IEEE754_CLT 0x01 150#define IEEE754_CEQ 0x02 151#define IEEE754_CGT 0x04 152#define IEEE754_CUN 0x08 153 154/* 155 * The control status register 156 */ 157struct _ieee754_csr { 158 __BITFIELD_FIELD(unsigned fcc:7, /* condition[7:1] */ 159 __BITFIELD_FIELD(unsigned nod:1, /* set 1 for no denormals */ 160 __BITFIELD_FIELD(unsigned c:1, /* condition[0] */ 161 __BITFIELD_FIELD(unsigned pad0:3, 162 __BITFIELD_FIELD(unsigned abs2008:1, /* IEEE 754-2008 ABS/NEG.fmt */ 163 __BITFIELD_FIELD(unsigned nan2008:1, /* IEEE 754-2008 NaN mode */ 164 __BITFIELD_FIELD(unsigned cx:6, /* exceptions this operation */ 165 __BITFIELD_FIELD(unsigned mx:5, /* exception enable mask */ 166 __BITFIELD_FIELD(unsigned sx:5, /* exceptions total */ 167 __BITFIELD_FIELD(unsigned rm:2, /* current rounding mode */ 168 ;)))))))))) 169}; 170#define ieee754_csr (*(struct _ieee754_csr *)(¤t->thread.fpu.fcr31)) 171 172static inline unsigned int ieee754_getrm(void) 173{ 174 return (ieee754_csr.rm); 175} 176 177static inline unsigned int ieee754_setrm(unsigned int rm) 178{ 179 return (ieee754_csr.rm = rm); 180} 181 182/* 183 * get current exceptions 184 */ 185static inline unsigned int ieee754_getcx(void) 186{ 187 return (ieee754_csr.cx); 188} 189 190/* test for current exception condition 191 */ 192static inline int ieee754_cxtest(unsigned int n) 193{ 194 return (ieee754_csr.cx & n); 195} 196 197/* 198 * get sticky exceptions 199 */ 200static inline unsigned int ieee754_getsx(void) 201{ 202 return (ieee754_csr.sx); 203} 204 205/* clear sticky conditions 206*/ 207static inline unsigned int ieee754_clrsx(void) 208{ 209 return (ieee754_csr.sx = 0); 210} 211 212/* test for sticky exception condition 213 */ 214static inline int ieee754_sxtest(unsigned int n) 215{ 216 return (ieee754_csr.sx & n); 217} 218 219/* debugging */ 220union ieee754sp ieee754sp_dump(char *s, union ieee754sp x); 221union ieee754dp ieee754dp_dump(char *s, union ieee754dp x); 222 223#define IEEE754_SPCVAL_PZERO 0 /* +0.0 */ 224#define IEEE754_SPCVAL_NZERO 1 /* -0.0 */ 225#define IEEE754_SPCVAL_PONE 2 /* +1.0 */ 226#define IEEE754_SPCVAL_NONE 3 /* -1.0 */ 227#define IEEE754_SPCVAL_PTEN 4 /* +10.0 */ 228#define IEEE754_SPCVAL_NTEN 5 /* -10.0 */ 229#define IEEE754_SPCVAL_PINFINITY 6 /* +inf */ 230#define IEEE754_SPCVAL_NINFINITY 7 /* -inf */ 231#define IEEE754_SPCVAL_INDEF_LEG 8 /* legacy quiet NaN */ 232#define IEEE754_SPCVAL_INDEF_2008 9 /* IEEE 754-2008 quiet NaN */ 233#define IEEE754_SPCVAL_PMAX 10 /* +max norm */ 234#define IEEE754_SPCVAL_NMAX 11 /* -max norm */ 235#define IEEE754_SPCVAL_PMIN 12 /* +min norm */ 236#define IEEE754_SPCVAL_NMIN 13 /* -min norm */ 237#define IEEE754_SPCVAL_PMIND 14 /* +min denorm */ 238#define IEEE754_SPCVAL_NMIND 15 /* -min denorm */ 239#define IEEE754_SPCVAL_P1E31 16 /* + 1.0e31 */ 240#define IEEE754_SPCVAL_P1E63 17 /* + 1.0e63 */ 241 242extern const union ieee754dp __ieee754dp_spcvals[]; 243extern const union ieee754sp __ieee754sp_spcvals[]; 244#define ieee754dp_spcvals ((const union ieee754dp *)__ieee754dp_spcvals) 245#define ieee754sp_spcvals ((const union ieee754sp *)__ieee754sp_spcvals) 246 247/* 248 * Return infinity with given sign 249 */ 250#define ieee754dp_inf(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)]) 251#define ieee754dp_zero(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PZERO+(sn)]) 252#define ieee754dp_one(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PONE+(sn)]) 253#define ieee754dp_ten(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PTEN+(sn)]) 254#define ieee754dp_indef() (ieee754dp_spcvals[IEEE754_SPCVAL_INDEF_LEG + \ 255 ieee754_csr.nan2008]) 256#define ieee754dp_max(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMAX+(sn)]) 257#define ieee754dp_min(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMIN+(sn)]) 258#define ieee754dp_mind(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMIND+(sn)]) 259#define ieee754dp_1e31() (ieee754dp_spcvals[IEEE754_SPCVAL_P1E31]) 260#define ieee754dp_1e63() (ieee754dp_spcvals[IEEE754_SPCVAL_P1E63]) 261 262#define ieee754sp_inf(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)]) 263#define ieee754sp_zero(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PZERO+(sn)]) 264#define ieee754sp_one(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PONE+(sn)]) 265#define ieee754sp_ten(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PTEN+(sn)]) 266#define ieee754sp_indef() (ieee754sp_spcvals[IEEE754_SPCVAL_INDEF_LEG + \ 267 ieee754_csr.nan2008]) 268#define ieee754sp_max(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMAX+(sn)]) 269#define ieee754sp_min(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMIN+(sn)]) 270#define ieee754sp_mind(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMIND+(sn)]) 271#define ieee754sp_1e31() (ieee754sp_spcvals[IEEE754_SPCVAL_P1E31]) 272#define ieee754sp_1e63() (ieee754sp_spcvals[IEEE754_SPCVAL_P1E63]) 273 274/* 275 * Indefinite integer value 276 */ 277static inline int ieee754si_indef(void) 278{ 279 return ieee754_csr.nan2008 ? 0 : INT_MAX; 280} 281 282static inline s64 ieee754di_indef(void) 283{ 284 return ieee754_csr.nan2008 ? 0 : S64_MAX; 285} 286 287/* 288 * Overflow integer value 289 */ 290static inline int ieee754si_overflow(int xs) 291{ 292 return ieee754_csr.nan2008 && xs ? INT_MIN : INT_MAX; 293} 294 295static inline s64 ieee754di_overflow(int xs) 296{ 297 return ieee754_csr.nan2008 && xs ? S64_MIN : S64_MAX; 298} 299 300/* result types for xctx.rt */ 301#define IEEE754_RT_SP 0 302#define IEEE754_RT_DP 1 303#define IEEE754_RT_XP 2 304#define IEEE754_RT_SI 3 305#define IEEE754_RT_DI 4 306 307/* compat */ 308#define ieee754dp_fix(x) ieee754dp_tint(x) 309#define ieee754sp_fix(x) ieee754sp_tint(x) 310 311#endif /* __ARCH_MIPS_MATH_EMU_IEEE754_H */