📄 ieee754.h
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/* single and double precision fp ops * missing extended precision.*//* * MIPS floating point support * Copyright (C) 1994-2000 Algorithmics Ltd. All rights reserved. * http://www.algor.co.uk * * ######################################################################## * * This program is free software; you can distribute it and/or modify it * under the terms of the GNU General Public License (Version 2) as * published by the Free Software Foundation. * * This program is distributed in the hope it will be useful, but WITHOUT * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License * for more details. * * You should have received a copy of the GNU General Public License along * with this program; if not, write to the Free Software Foundation, Inc., * 59 Temple Place - Suite 330, Boston MA 02111-1307, USA. * * ######################################################################## *//************************************************************************** * Nov 7, 2000 * Modification to allow integration with Linux kernel * * Kevin D. Kissell, kevink@mips.com and Carsten Langgard, carstenl@mips.com * Copyright (C) 2000 MIPS Technologies, Inc. All rights reserved. *************************************************************************/#ifdef __KERNEL__/* Going from Algorithmics to Linux native environment, add this */#include <linux/types.h>/* * Not very pretty, but the Linux kernel's normal va_list definition * does not allow it to be used as a structure element, as it is here. */#ifndef _STDARG_H#include <stdarg.h>#endif#else/* Note that __KERNEL__ is taken to mean Linux kernel */#if #system(OpenBSD)#include <machine/types.h>#endif#include <machine/endian.h>#endif /* __KERNEL__ */#if (defined(BYTE_ORDER) && BYTE_ORDER == LITTLE_ENDIAN) || defined(__MIPSEL__)struct ieee754dp_konst { unsigned mantlo:32; unsigned manthi:20; unsigned bexp:11; unsigned sign:1;};struct ieee754sp_konst { unsigned mant:23; unsigned bexp:8; unsigned sign:1;};typedef union _ieee754dp { struct ieee754dp_konst oparts; struct { unsigned long long mant:52; unsigned int bexp:11; unsigned int sign:1; } parts; unsigned long long bits; double d;} ieee754dp;typedef union _ieee754sp { struct ieee754sp_konst parts; float f; unsigned long bits;} ieee754sp;#endif#if (defined(BYTE_ORDER) && BYTE_ORDER == BIG_ENDIAN) || defined(__MIPSEB__)struct ieee754dp_konst { unsigned sign:1; unsigned bexp:11; unsigned manthi:20; unsigned mantlo:32;};typedef union _ieee754dp { struct ieee754dp_konst oparts; struct { unsigned int sign:1; unsigned int bexp:11; unsigned long long mant:52; } parts; double d; unsigned long long bits;} ieee754dp;struct ieee754sp_konst { unsigned sign:1; unsigned bexp:8; unsigned mant:23;};typedef union _ieee754sp { struct ieee754sp_konst parts; float f; unsigned long bits;} ieee754sp;#endif/* * single precision (often aka float)*/int ieee754sp_finite(ieee754sp x);int ieee754sp_class(ieee754sp x);ieee754sp ieee754sp_abs(ieee754sp x);ieee754sp ieee754sp_neg(ieee754sp x);ieee754sp ieee754sp_scalb(ieee754sp x, int);ieee754sp ieee754sp_logb(ieee754sp x);/* x with sign of y */ieee754sp ieee754sp_copysign(ieee754sp x, ieee754sp y);ieee754sp ieee754sp_add(ieee754sp x, ieee754sp y);ieee754sp ieee754sp_sub(ieee754sp x, ieee754sp y);ieee754sp ieee754sp_mul(ieee754sp x, ieee754sp y);ieee754sp ieee754sp_div(ieee754sp x, ieee754sp y);ieee754sp ieee754sp_fint(int x);ieee754sp ieee754sp_funs(unsigned x);ieee754sp ieee754sp_flong(long long x);ieee754sp ieee754sp_fulong(unsigned long long x);ieee754sp ieee754sp_fdp(ieee754dp x);int ieee754sp_tint(ieee754sp x);unsigned int ieee754sp_tuns(ieee754sp x);long long ieee754sp_tlong(ieee754sp x);unsigned long long ieee754sp_tulong(ieee754sp x);int ieee754sp_cmp(ieee754sp x, ieee754sp y, int cop);/* * basic sp math */ieee754sp ieee754sp_modf(ieee754sp x, ieee754sp * ip);ieee754sp ieee754sp_frexp(ieee754sp x, int *exp);ieee754sp ieee754sp_ldexp(ieee754sp x, int exp);ieee754sp ieee754sp_ceil(ieee754sp x);ieee754sp ieee754sp_floor(ieee754sp x);ieee754sp ieee754sp_trunc(ieee754sp x);ieee754sp ieee754sp_sqrt(ieee754sp x);/* * double precision (often aka double)*/int ieee754dp_finite(ieee754dp x);int ieee754dp_class(ieee754dp x);/* x with sign of y */ieee754dp ieee754dp_copysign(ieee754dp x, ieee754dp y);ieee754dp ieee754dp_add(ieee754dp x, ieee754dp y);ieee754dp ieee754dp_sub(ieee754dp x, ieee754dp y);ieee754dp ieee754dp_mul(ieee754dp x, ieee754dp y);ieee754dp ieee754dp_div(ieee754dp x, ieee754dp y);ieee754dp ieee754dp_abs(ieee754dp x);ieee754dp ieee754dp_neg(ieee754dp x);ieee754dp ieee754dp_scalb(ieee754dp x, int);/* return exponent as integer in floating point format */ieee754dp ieee754dp_logb(ieee754dp x);ieee754dp ieee754dp_fint(int x);ieee754dp ieee754dp_funs(unsigned x);ieee754dp ieee754dp_flong(long long x);ieee754dp ieee754dp_fulong(unsigned long long x);ieee754dp ieee754dp_fsp(ieee754sp x);ieee754dp ieee754dp_ceil(ieee754dp x);ieee754dp ieee754dp_floor(ieee754dp x);ieee754dp ieee754dp_trunc(ieee754dp x);int ieee754dp_tint(ieee754dp x);unsigned int ieee754dp_tuns(ieee754dp x);long long ieee754dp_tlong(ieee754dp x);unsigned long long ieee754dp_tulong(ieee754dp x);int ieee754dp_cmp(ieee754dp x, ieee754dp y, int cop);/* * basic sp math */ieee754dp ieee754dp_modf(ieee754dp x, ieee754dp * ip);ieee754dp ieee754dp_frexp(ieee754dp x, int *exp);ieee754dp ieee754dp_ldexp(ieee754dp x, int exp);ieee754dp ieee754dp_ceil(ieee754dp x);ieee754dp ieee754dp_floor(ieee754dp x);ieee754dp ieee754dp_trunc(ieee754dp x);ieee754dp ieee754dp_sqrt(ieee754dp x);/* 5 types of floating point number */#define IEEE754_CLASS_NORM 0x00#define IEEE754_CLASS_ZERO 0x01#define IEEE754_CLASS_DNORM 0x02#define IEEE754_CLASS_INF 0x03#define IEEE754_CLASS_SNAN 0x04#define IEEE754_CLASS_QNAN 0x05extern const char *const ieee754_cname[];/* exception numbers */#define IEEE754_INEXACT 0x01#define IEEE754_UNDERFLOW 0x02#define IEEE754_OVERFLOW 0x04#define IEEE754_ZERO_DIVIDE 0x08#define IEEE754_INVALID_OPERATION 0x10/* cmp operators*/#define IEEE754_CLT 0x01#define IEEE754_CEQ 0x02#define IEEE754_CGT 0x04#define IEEE754_CUN 0x08/* rounding mode */#define IEEE754_RN 0 /* round to nearest */#define IEEE754_RZ 1 /* round toward zero */#define IEEE754_RD 2 /* round toward -Infinity */#define IEEE754_RU 3 /* round toward +Infinity *//* other naming */#define IEEE754_RM IEEE754_RD#define IEEE754_RP IEEE754_RU/* "normal" comparisons*/static __inline int ieee754sp_eq(ieee754sp x, ieee754sp y){ return ieee754sp_cmp(x, y, IEEE754_CEQ);}static __inline int ieee754sp_ne(ieee754sp x, ieee754sp y){ return ieee754sp_cmp(x, y, IEEE754_CLT | IEEE754_CGT | IEEE754_CUN);}static __inline int ieee754sp_lt(ieee754sp x, ieee754sp y){ return ieee754sp_cmp(x, y, IEEE754_CLT);}static __inline int ieee754sp_le(ieee754sp x, ieee754sp y){ return ieee754sp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ);}static __inline int ieee754sp_gt(ieee754sp x, ieee754sp y){ return ieee754sp_cmp(x, y, IEEE754_CGT);}static __inline int ieee754sp_ge(ieee754sp x, ieee754sp y){ return ieee754sp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ);}static __inline int ieee754dp_eq(ieee754dp x, ieee754dp y){ return ieee754dp_cmp(x, y, IEEE754_CEQ);}static __inline int ieee754dp_ne(ieee754dp x, ieee754dp y){ return ieee754dp_cmp(x, y, IEEE754_CLT | IEEE754_CGT | IEEE754_CUN);}static __inline int ieee754dp_lt(ieee754dp x, ieee754dp y){ return ieee754dp_cmp(x, y, IEEE754_CLT);}static __inline int ieee754dp_le(ieee754dp x, ieee754dp y){ return ieee754dp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ);}static __inline int ieee754dp_gt(ieee754dp x, ieee754dp y){ return ieee754dp_cmp(x, y, IEEE754_CGT);}static __inline int ieee754dp_ge(ieee754dp x, ieee754dp y){ return ieee754dp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ);}/* like strtod*/ieee754dp ieee754dp_fstr(const char *s, char **endp);char *ieee754dp_tstr(ieee754dp x, int prec, int fmt, int af);/* the control status register */struct ieee754_csr { unsigned pad:13; unsigned nod:1; /* set 1 for no denormalised numbers */ unsigned cx:5; /* exceptions this operation */ unsigned mx:5; /* exception enable mask */ unsigned sx:5; /* exceptions total */ unsigned rm:2; /* current rounding mode */};extern struct ieee754_csr ieee754_csr;static __inline unsigned ieee754_getrm(void){ return (ieee754_csr.rm);}static __inline unsigned ieee754_setrm(unsigned rm){ return (ieee754_csr.rm = rm);}/* * get current exceptions */static __inline unsigned ieee754_getcx(void){ return (ieee754_csr.cx);}/* test for current exception condition */static __inline int ieee754_cxtest(unsigned n){ return (ieee754_csr.cx & n);}/* * get sticky exceptions */static __inline unsigned ieee754_getsx(void){ return (ieee754_csr.sx);}/* clear sticky conditions*/static __inline unsigned ieee754_clrsx(void){ return (ieee754_csr.sx = 0);}/* test for sticky exception condition */static __inline int ieee754_sxtest(unsigned n){ return (ieee754_csr.sx & n);}/* debugging */ieee754sp ieee754sp_dump(char *s, ieee754sp x);ieee754dp ieee754dp_dump(char *s, ieee754dp x);#define IEEE754_SPCVAL_PZERO 0#define IEEE754_SPCVAL_NZERO 1#define IEEE754_SPCVAL_PONE 2#define IEEE754_SPCVAL_NONE 3#define IEEE754_SPCVAL_PTEN 4#define IEEE754_SPCVAL_NTEN 5#define IEEE754_SPCVAL_PINFINITY 6#define IEEE754_SPCVAL_NINFINITY 7#define IEEE754_SPCVAL_INDEF 8#define IEEE754_SPCVAL_PMAX 9 /* +max norm */#define IEEE754_SPCVAL_NMAX 10 /* -max norm */#define IEEE754_SPCVAL_PMIN 11 /* +min norm */#define IEEE754_SPCVAL_NMIN 12 /* +min norm */#define IEEE754_SPCVAL_PMIND 13 /* +min denorm */#define IEEE754_SPCVAL_NMIND 14 /* +min denorm */#define IEEE754_SPCVAL_P1E31 15 /* + 1.0e31 */#define IEEE754_SPCVAL_P1E63 16 /* + 1.0e63 */extern const struct ieee754dp_konst __ieee754dp_spcvals[];extern const struct ieee754sp_konst __ieee754sp_spcvals[];#define ieee754dp_spcvals ((const ieee754dp *)__ieee754dp_spcvals)#define ieee754sp_spcvals ((const ieee754sp *)__ieee754sp_spcvals)/* return infinity with given sign*/#define ieee754dp_inf(sn) \ (ieee754dp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])#define ieee754dp_zero(sn) \ (ieee754dp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])#define ieee754dp_one(sn) \ (ieee754dp_spcvals[IEEE754_SPCVAL_PONE+(sn)])#define ieee754dp_ten(sn) \ (ieee754dp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])#define ieee754dp_indef() \ (ieee754dp_spcvals[IEEE754_SPCVAL_INDEF])#define ieee754dp_max(sn) \ (ieee754dp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])#define ieee754dp_min(sn) \ (ieee754dp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])#define ieee754dp_mind(sn) \ (ieee754dp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])#define ieee754dp_1e31() \ (ieee754dp_spcvals[IEEE754_SPCVAL_P1E31])#define ieee754dp_1e63() \ (ieee754dp_spcvals[IEEE754_SPCVAL_P1E63])#define ieee754sp_inf(sn) \ (ieee754sp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])#define ieee754sp_zero(sn) \ (ieee754sp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])#define ieee754sp_one(sn) \ (ieee754sp_spcvals[IEEE754_SPCVAL_PONE+(sn)])#define ieee754sp_ten(sn) \ (ieee754sp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])#define ieee754sp_indef() \ (ieee754sp_spcvals[IEEE754_SPCVAL_INDEF])#define ieee754sp_max(sn) \ (ieee754sp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])#define ieee754sp_min(sn) \ (ieee754sp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])#define ieee754sp_mind(sn) \ (ieee754sp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])#define ieee754sp_1e31() \ (ieee754sp_spcvals[IEEE754_SPCVAL_P1E31])#define ieee754sp_1e63() \ (ieee754sp_spcvals[IEEE754_SPCVAL_P1E63])/* indefinite integer value */#define ieee754si_indef() INT_MAX#ifdef LONG_LONG_MAX#define ieee754di_indef() LONG_LONG_MAX#else#define ieee754di_indef() ((long long)(~0ULL>>1))#endif/* IEEE exception context, passed to handler */struct ieee754xctx { const char *op; /* operation name */ int rt; /* result type */ union { ieee754sp sp; /* single precision */ ieee754dp dp; /* double precision */#ifdef IEEE854_XP ieee754xp xp; /* extended precision */#endif int si; /* standard signed integer (32bits) */ long long di; /* extended signed integer (64bits) */ } rv; /* default result format implied by op */ va_list ap;};/* result types for xctx.rt */#define IEEE754_RT_SP 0#define IEEE754_RT_DP 1#define IEEE754_RT_XP 2#define IEEE754_RT_SI 3#define IEEE754_RT_DI 4extern void ieee754_xcpt(struct ieee754xctx *xcp);/* compat */#define ieee754dp_fix(x) ieee754dp_tint(x)#define ieee754sp_fix(x) ieee754sp_tint(x)
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