ieee754.h
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上传日期:2013-04-10
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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 {
- u64 mant:52;
- unsigned int bexp:11;
- unsigned int sign:1;
- } parts;
- u64 bits;
- double d;
- } ieee754dp;
- typedef union _ieee754sp {
- struct ieee754sp_konst parts;
- float f;
- u32 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;
- u64 mant:52;
- } parts;
- double d;
- u64 bits;
- } ieee754dp;
- struct ieee754sp_konst {
- unsigned sign:1;
- unsigned bexp:8;
- unsigned mant:23;
- };
- typedef union _ieee754sp {
- struct ieee754sp_konst parts;
- float f;
- u32 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(s64 x);
- ieee754sp ieee754sp_fulong(u64 x);
- ieee754sp ieee754sp_fdp(ieee754dp x);
- int ieee754sp_tint(ieee754sp x);
- unsigned int ieee754sp_tuns(ieee754sp x);
- s64 ieee754sp_tlong(ieee754sp x);
- u64 ieee754sp_tulong(ieee754sp x);
- int ieee754sp_cmp(ieee754sp x, ieee754sp y, int cop, int sig);
- /*
- * 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(s64 x);
- ieee754dp ieee754dp_fulong(u64 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);
- s64 ieee754dp_tlong(ieee754dp x);
- u64 ieee754dp_tulong(ieee754dp x);
- int ieee754dp_cmp(ieee754dp x, ieee754dp y, int cop, int sig);
- /*
- * 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 0x05
- extern 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, 0);
- }
- static __inline int ieee754sp_ne(ieee754sp x, ieee754sp y)
- {
- return ieee754sp_cmp(x, y,
- IEEE754_CLT | IEEE754_CGT | IEEE754_CUN, 0);
- }
- static __inline int ieee754sp_lt(ieee754sp x, ieee754sp y)
- {
- return ieee754sp_cmp(x, y, IEEE754_CLT, 0);
- }
- static __inline int ieee754sp_le(ieee754sp x, ieee754sp y)
- {
- return ieee754sp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ, 0);
- }
- static __inline int ieee754sp_gt(ieee754sp x, ieee754sp y)
- {
- return ieee754sp_cmp(x, y, IEEE754_CGT, 0);
- }
- static __inline int ieee754sp_ge(ieee754sp x, ieee754sp y)
- {
- return ieee754sp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ, 0);
- }
- static __inline int ieee754dp_eq(ieee754dp x, ieee754dp y)
- {
- return ieee754dp_cmp(x, y, IEEE754_CEQ, 0);
- }
- static __inline int ieee754dp_ne(ieee754dp x, ieee754dp y)
- {
- return ieee754dp_cmp(x, y,
- IEEE754_CLT | IEEE754_CGT | IEEE754_CUN, 0);
- }
- static __inline int ieee754dp_lt(ieee754dp x, ieee754dp y)
- {
- return ieee754dp_cmp(x, y, IEEE754_CLT, 0);
- }
- static __inline int ieee754dp_le(ieee754dp x, ieee754dp y)
- {
- return ieee754dp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ, 0);
- }
- static __inline int ieee754dp_gt(ieee754dp x, ieee754dp y)
- {
- return ieee754dp_cmp(x, y, IEEE754_CGT, 0);
- }
- static __inline int ieee754dp_ge(ieee754dp x, ieee754dp y)
- {
- return ieee754dp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ, 0);
- }
- /* 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() ((s64)(~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) */
- s64 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 4
- extern void ieee754_xcpt(struct ieee754xctx *xcp);
- /* compat */
- #define ieee754dp_fix(x) ieee754dp_tint(x)
- #define ieee754sp_fix(x) ieee754sp_tint(x)