472 lines
12 KiB
C
472 lines
12 KiB
C
/*
|
|
* MIPS floating point support
|
|
* Copyright (C) 1994-2000 Algorithmics Ltd.
|
|
* 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.
|
|
*/
|
|
#ifndef __ARCH_MIPS_MATH_EMU_IEEE754_H
|
|
#define __ARCH_MIPS_MATH_EMU_IEEE754_H
|
|
|
|
#include <asm/byteorder.h>
|
|
#include <linux/types.h>
|
|
#include <linux/sched.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
|
|
|
|
#ifdef __LITTLE_ENDIAN
|
|
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
|
|
|
|
#ifdef __BIG_ENDIAN
|
|
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
|
|
|
|
/* 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 {
|
|
#ifdef __BIG_ENDIAN
|
|
unsigned pad0:7;
|
|
unsigned nod:1; /* set 1 for no denormalised numbers */
|
|
unsigned c:1; /* condition */
|
|
unsigned pad1:5;
|
|
unsigned cx:6; /* exceptions this operation */
|
|
unsigned mx:5; /* exception enable mask */
|
|
unsigned sx:5; /* exceptions total */
|
|
unsigned rm:2; /* current rounding mode */
|
|
#endif
|
|
#ifdef __LITTLE_ENDIAN
|
|
unsigned rm:2; /* current rounding mode */
|
|
unsigned sx:5; /* exceptions total */
|
|
unsigned mx:5; /* exception enable mask */
|
|
unsigned cx:6; /* exceptions this operation */
|
|
unsigned pad1:5;
|
|
unsigned c:1; /* condition */
|
|
unsigned nod:1; /* set 1 for no denormalised numbers */
|
|
unsigned pad0:7;
|
|
#endif
|
|
};
|
|
#define ieee754_csr (*(struct _ieee754_csr *)(¤t->thread.fpu.soft.fcr31))
|
|
|
|
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)
|
|
|
|
#endif /* __ARCH_MIPS_MATH_EMU_IEEE754_H */
|