Viewing file:  ieee754.h (12.7 KB) -rw-r--r--
Select action/file-type:
 (+) |  (+) |  (+) | Code (+) | Session (+) |  (+) | SDB (+) |  (+) |  (+) |  (+) |  (+) |  (+) |
/* 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 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);
}
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 noq:1; /* set 1 for no quiet NaN's */
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_MIN
#ifdef LONG_LONG_MIN
#define ieee754di_indef() LONG_LONG_MIN
#else
#define ieee754di_indef() (-9223372036854775807LL-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 4
extern void ieee754_xcpt(struct ieee754xctx *xcp);
/* compat */
#define ieee754dp_fix(x) ieee754dp_tint(x)
#define ieee754sp_fix(x) ieee754sp_tint(x)
|