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nono 1.2.0
/* $NetBSD: fpu_implode.c,v 1.15 2013/03/26 11:30:21 isaki Exp $ */
/*
* Copyright (c) 1992, 1993
* The Regents of the University of California. All rights reserved.
*
* This software was developed by the Computer Systems Engineering group
* at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
* contributed to Berkeley.
*
* All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Lawrence Berkeley Laboratory.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
* @(#)fpu_implode.c 8.1 (Berkeley) 6/11/93
*/
/*
* FPU subroutines: `implode' internal format numbers into the machine's
* `packed binary' format.
*/
#include "fpu_emulate.h"
/* Conversion from internal format -- note asymmetry. */
static uint32_t fpu_ftoi(struct fpemu *fe, struct fpn *fp);
static uint32_t fpu_ftos(struct fpemu *fe, struct fpn *fp);
static uint32_t fpu_ftod(struct fpemu *fe, struct fpn *fp, uint32_t *);
static uint32_t fpu_ftox(struct fpemu *fe, struct fpn *fp, uint32_t *);
static void fpu_round_chkmin(struct fpemu *fe, struct fpn *fp, int, int);
static void fpu_round_chkinf(struct fpemu *fe, struct fpn *fp, int);
/*
* Round a number (algorithm from Motorola MC68882 manual, modified for
* our internal format). Set inexact exception if rounding is required.
* Return true iff we rounded up.
*
* After rounding, we discard the guard and round bits by shifting right
* 2 bits (a la fpu_shr(), but we do not bother with fp->fp_sticky).
* This saves effort later.
*
* Note that we may leave the value 2.0 in fp->fp_mant; it is the caller's
* responsibility to fix this if necessary.
*/
// FPCR_ROUND (NR, RZ, RP, RM) によって fp (拡張精度) をラウンディングする。
// 戻り値はラウンドアップしたら 1(true)。
// ラウンディングが発生すると内部 FPSR:EXCP に INEX2 を立てる。
// 任意精度のラウンディングは fpu_round_prec() 参照のこと。XXX どうしたもんか
//
// 実行後の fp_mant[2] は GR ビットを捨ててあり、つまり fp_mant 全体が当初
// に比べて2ビット右シフトされた状態となる。
// ラウンドアップによって生じた整数部 2 は何もせずそのまま返されるので、
// これを必要に応じてどうにかするのは呼び出し側の責任。
// (ただし整数部(小数点位置)も2ビットずれてるはず、でいいのかな?)
// fp_sticky は常にゼロクリアされる。
// fp_exp は変更しない。
int
fpu_round(struct fpemu *fe, struct fpn *fp)
{
uint32_t m0, m1, m2;
int gr, s;
m0 = fp->fp_mant[0];
m1 = fp->fp_mant[1];
m2 = fp->fp_mant[2];
gr = m2 & 3;
s = fp->fp_sticky;
/* mant >>= FP_NG */
m2 = (m2 >> FP_NG) | (m1 << (32 - FP_NG));
m1 = (m1 >> FP_NG) | (m0 << (32 - FP_NG));
m0 >>= FP_NG;
if ((gr | s) == 0) /* result is exact: no rounding needed */
goto rounddown;
fe->fe_fpsr |= FPSR_INEX2; /* inexact */
/* Go to rounddown to round down; break to round up. */
switch (fe->fe_fpcr & FPCR_ROUND) {
case FPCR_NEAR:
default:
/*
* Round only if guard is set (gr & 2). If guard is set,
* but round & sticky both clear, then we want to round
* but have a tie, so round to even, i.e., add 1 iff odd.
*/
if ((gr & 2) == 0)
goto rounddown;
if ((gr & 1) || fp->fp_sticky || (m2 & 1))
break;
goto rounddown;
case FPCR_ZERO:
/* Round towards zero, i.e., down. */
goto rounddown;
case FPCR_MINF:
/* Round towards -Inf: up if negative, down if positive. */
if (fp->fp_sign)
break;
goto rounddown;
case FPCR_PINF:
/* Round towards +Inf: up if positive, down otherwise. */
if (!fp->fp_sign)
break;
goto rounddown;
}
/* Bump low bit of mantissa, with carry. */
if (++m2 == 0 && ++m1 == 0)
m0++;
fp->fp_sticky = 0;
fp->fp_mant[0] = m0;
fp->fp_mant[1] = m1;
fp->fp_mant[2] = m2;
return (1);
rounddown:
fp->fp_sticky = 0;
fp->fp_mant[0] = m0;
fp->fp_mant[1] = m1;
fp->fp_mant[2] = m2;
return (0);
}
/*
* For overflow: return true if overflow is to go to +/-Inf, according
* to the sign of the overflowing result. If false, overflow is to go
* to the largest magnitude value instead.
*/
static int
toinf(struct fpemu *fe, int sign)
{
int inf;
/* look at rounding direction */
switch (fe->fe_fpcr & FPCR_ROUND) {
default:
case FPCR_NEAR: /* the nearest value is always Inf */
inf = 1;
break;
case FPCR_ZERO: /* toward 0 => never towards Inf */
inf = 0;
break;
case FPCR_PINF: /* toward +Inf iff positive */
inf = (sign == 0);
break;
case FPCR_MINF: /* toward -Inf iff negative */
inf = sign;
break;
}
return (inf);
}
/*
* fpn -> int (int value returned as return value).
*
* N.B.: this conversion always rounds towards zero (this is a peculiarity
* of the SPARC instruction set).
*/
static uint32_t
fpu_ftoi(struct fpemu *fe, struct fpn *fp)
{
uint32_t i;
int sign, exp;
sign = fp->fp_sign;
switch (fp->fp_class) {
case FPC_ZERO:
return (0);
case FPC_NUM:
/*
* If exp >= 2^32, overflow. Otherwise shift value right
* into last mantissa word (this will not exceed 0xffffffff),
* shifting any guard and round bits out into the sticky
* bit. Then ``round'' towards zero, i.e., just set an
* inexact exception if sticky is set (see fpu_round()).
* If the result is > 0x80000000, or is positive and equals
* 0x80000000, overflow; otherwise the last fraction word
* is the result.
*/
if ((exp = fp->fp_exp) >= 32)
break;
/* NB: the following includes exp < 0 cases */
if (fpu_shr(fp, FP_NMANT - 1 - FP_NG - exp) != 0) {
/*
* m68881/2 do not underflow when
* converting to integer
*/
;
}
fpu_round(fe, fp);
i = fp->fp_mant[2];
if (i >= ((uint32_t)0x80000000 + sign))
break;
return (sign ? -i : i);
default: /* Inf, qNaN, sNaN */
break;
}
/* overflow: replace any inexact exception with invalid */
fe->fe_fpsr = (fe->fe_fpsr & ~FPSR_INEX2) | FPSR_OPERR;
return (0x7fffffff + sign);
}
/*
* fpn -> single (32 bit single returned as return value).
* We assume <= 29 bits in a single-precision fraction (1.f part).
*/
static uint32_t
fpu_ftos(struct fpemu *fe, struct fpn *fp)
{
uint32_t sign = fp->fp_sign << 31;
int exp;
#define SNG_EXP(e) ((e) << SNG_FRACBITS) /* makes e an exponent */
#define SNG_MASK (SNG_EXP(1) - 1) /* mask for fraction */
/* Take care of non-numbers first. */
if (ISNAN(fp)) {
/*
* Preserve upper bits of NaN, per SPARC V8 appendix N.
* Note that fp->fp_mant[0] has the quiet bit set,
* even if it is classified as a signalling NaN.
*/
(void) fpu_shr(fp, FP_NMANT - 1 - SNG_FRACBITS);
exp = SNG_EXP_INFNAN;
goto done;
}
if (ISINF(fp))
return (sign | SNG_EXP(SNG_EXP_INFNAN));
if (ISZERO(fp))
return (sign);
/*
* Normals (including subnormals). Drop all the fraction bits
* (including the explicit ``implied'' 1 bit) down into the
* single-precision range. If the number is subnormal, move
* the ``implied'' 1 into the explicit range as well, and shift
* right to introduce leading zeroes. Rounding then acts
* differently for normals and subnormals: the largest subnormal
* may round to the smallest normal (1.0 x 2^minexp), or may
* remain subnormal. In the latter case, signal an underflow
* if the result was inexact or if underflow traps are enabled.
*
* Rounding a normal, on the other hand, always produces another
* normal (although either way the result might be too big for
* single precision, and cause an overflow). If rounding a
* normal produces 2.0 in the fraction, we need not adjust that
* fraction at all, since both 1.0 and 2.0 are zero under the
* fraction mask.
*
* Note that the guard and round bits vanish from the number after
* rounding.
*/
if ((exp = fp->fp_exp + SNG_EXP_BIAS) <= 0) { /* subnormal */
fe->fe_fpsr |= FPSR_UNFL;
/* -NG for g,r; -SNG_FRACBITS-exp for fraction */
(void) fpu_shr(fp, FP_NMANT - FP_NG - SNG_FRACBITS - exp);
if (fpu_round(fe, fp) && fp->fp_mant[2] == SNG_EXP(1))
return (sign | SNG_EXP(1) | 0);
if (fe->fe_fpsr & FPSR_INEX2) {
/* mc68881/2 don't underflow when converting */
fe->fe_fpsr |= FPSR_UNFL;
}
return (sign | SNG_EXP(0) | fp->fp_mant[2]);
}
/* -FP_NG for g,r; -1 for implied 1; -SNG_FRACBITS for fraction */
(void) fpu_shr(fp, FP_NMANT - FP_NG - 1 - SNG_FRACBITS);
#ifdef DIAGNOSTIC
if ((fp->fp_mant[2] & SNG_EXP(1 << FP_NG)) == 0)
panic("fpu_ftos");
#endif
if (fpu_round(fe, fp) && fp->fp_mant[2] == SNG_EXP(2))
exp++;
if (exp >= SNG_EXP_INFNAN) {
/* overflow to inf or to max single */
fe->fe_fpsr |= FPSR_OVFL;
if (toinf(fe, sign)) {
fp->fp_class = FPC_INF;
return (sign | SNG_EXP(SNG_EXP_INFNAN));
}
fe->fe_fpsr |= FPSR_OPERR;
return (sign | SNG_EXP(SNG_EXP_INFNAN - 1) | SNG_MASK);
}
done:
if ((fp->fp_mant[2] & SNG_MASK) == 0)
fp->fp_class = FPC_ZERO;
/* phew, made it */
return (sign | SNG_EXP(exp) | (fp->fp_mant[2] & SNG_MASK));
}
/*
* fpn -> double (32 bit high-order result returned; 32-bit low order result
* left in res[1]). Assumes <= 61 bits in double precision fraction.
*
* This code mimics fpu_ftos; see it for comments.
*/
static uint32_t
fpu_ftod(struct fpemu *fe, struct fpn *fp, uint32_t *res)
{
uint32_t sign = fp->fp_sign << 31;
int exp;
#define DBL_EXP(e) ((e) << (DBL_FRACBITS & 31))
#define DBL_MASK (DBL_EXP(1) - 1)
if (ISNAN(fp)) {
(void) fpu_shr(fp, FP_NMANT - 1 - DBL_FRACBITS);
exp = DBL_EXP_INFNAN;
goto done;
}
if (ISINF(fp)) {
sign |= DBL_EXP(DBL_EXP_INFNAN);
res[1] = 0;
return (sign);
}
if (ISZERO(fp)) {
res[1] = 0;
return (sign);
}
if ((exp = fp->fp_exp + DBL_EXP_BIAS) <= 0) {
fe->fe_fpsr |= FPSR_UNFL;
(void) fpu_shr(fp, FP_NMANT - FP_NG - DBL_FRACBITS - exp);
if (fpu_round(fe, fp) && fp->fp_mant[1] == DBL_EXP(1)) {
res[1] = 0;
return (sign | DBL_EXP(1) | 0);
}
if (fe->fe_fpsr & FPSR_INEX2) {
/* mc68881/2 don't underflow when converting */
fe->fe_fpsr |= FPSR_UNFL;
}
exp = 0;
goto done;
}
(void) fpu_shr(fp, FP_NMANT - FP_NG - 1 - DBL_FRACBITS);
if (fpu_round(fe, fp) && fp->fp_mant[1] == DBL_EXP(2))
exp++;
if (exp >= DBL_EXP_INFNAN) {
fe->fe_fpsr |= FPSR_OVFL;
if (toinf(fe, sign)) {
fp->fp_class = FPC_INF;
res[1] = 0;
return (sign | DBL_EXP(DBL_EXP_INFNAN) | 0);
}
fe->fe_fpsr |= FPSR_OPERR;
res[1] = ~0;
return (sign | DBL_EXP(DBL_EXP_INFNAN) | DBL_MASK);
}
done:
res[1] = fp->fp_mant[2];
if (((fp->fp_mant[1] & DBL_MASK) | res[1]) == 0)
fp->fp_class = FPC_ZERO;
return (sign | DBL_EXP(exp) | (fp->fp_mant[1] & DBL_MASK));
}
/*
* fpn -> 68k extended (32 bit high-order result returned; two 32-bit low
* order result left in res[1] & res[2]). Assumes == 64 bits in extended
* precision fraction.
*
* This code mimics fpu_ftos; see it for comments.
*/
static uint32_t
fpu_ftox(struct fpemu *fe, struct fpn *fp, uint32_t *res)
{
uint32_t sign = fp->fp_sign << 31;
int exp;
#define EXT_EXP(e) ((e) << 16)
/*
* on m68k extended prec, significand does not share the same long
* word with exponent
*/
#define EXT_MASK 0
#define EXT_EXPLICIT1 (1UL << (63 & 31))
#define EXT_EXPLICIT2 (1UL << (64 & 31))
if (ISNAN(fp)) {
(void) fpu_shr(fp, FP_NMANT - EXT_FRACBITS);
exp = EXT_EXP_INFNAN;
goto done;
}
if (ISINF(fp)) {
sign |= EXT_EXP(EXT_EXP_INFNAN);
res[1] = res[2] = 0;
return (sign);
}
if (ISZERO(fp)) {
res[1] = res[2] = 0;
return (sign);
}
if ((exp = fp->fp_exp + EXT_EXP_BIAS) < 0) {
fe->fe_fpsr |= FPSR_UNFL;
/*
* I'm not sure about this <=... exp==0 doesn't mean
* it's a denormal in extended format
*/
(void) fpu_shr(fp, FP_NMANT - FP_NG - EXT_FRACBITS - exp);
if (fpu_round(fe, fp) && fp->fp_mant[1] == EXT_EXPLICIT1) {
res[1] = res[2] = 0;
return (sign | EXT_EXP(1) | 0);
}
if (fe->fe_fpsr & FPSR_INEX2) {
/* mc68881/2 don't underflow */
fe->fe_fpsr |= FPSR_UNFL;
}
exp = 0;
goto done;
}
#if (FP_NMANT - FP_NG - EXT_FRACBITS) > 0
(void) fpu_shr(fp, FP_NMANT - FP_NG - EXT_FRACBITS);
#endif
if (fpu_round(fe, fp) && fp->fp_mant[0] == EXT_EXPLICIT2) {
exp++;
fpu_shr(fp, 1);
}
if (exp >= EXT_EXP_INFNAN) {
fe->fe_fpsr |= FPSR_OVFL;
if (toinf(fe, sign)) {
fp->fp_class = FPC_INF;
res[1] = res[2] = 0;
return (sign | EXT_EXP(EXT_EXP_INFNAN) | 0);
}
fe->fe_fpsr |= FPSR_OPERR;
res[1] = res[2] = ~0;
return (sign | EXT_EXP(EXT_EXP_INFNAN) | EXT_MASK);
}
done:
res[1] = fp->fp_mant[1];
res[2] = fp->fp_mant[2];
if ((res[1] | res[2]) == 0)
fp->fp_class = FPC_ZERO;
return (sign | EXT_EXP(exp));
}
/*
* Implode an fpn, writing the result into the given space.
*/
void
fpu_implode(struct fpemu *fe, struct fpn *fp, int type, uint32_t *space)
{
/* XXX Dont delete exceptions set here: fe->fe_fpsr &= ~FPSR_EXCP; */
switch (type) {
case FTYPE_LNG:
space[0] = fpu_ftoi(fe, fp);
break;
case FTYPE_SNG:
space[0] = fpu_ftos(fe, fp);
break;
case FTYPE_DBL:
space[0] = fpu_ftod(fe, fp, space);
break;
case FTYPE_EXT:
/* funky rounding precision options ?? */
space[0] = fpu_ftox(fe, fp, space);
break;
default:
/* 何も出来ることがない */
break;
}
}
#if defined(XM6i_FPE)
/*
* Shift the given number left lsh bits.
* Note that the sticky filed is cleared.
*/
static void
fpu_shl(struct fpn *fp, int lsh)
{
uint32_t m0, m1, m2;
int rsh;
m0 = fp->fp_mant[0];
m1 = fp->fp_mant[1];
m2 = fp->fp_mant[2];
while (lsh >= 32) {
m0 = m1;
m1 = m2;
m2 = (fp->fp_sticky != 0) ? 0x80000000 : 0;
fp->fp_sticky = 0;
lsh -= 32;
}
if (lsh != 0) {
rsh = 32 - lsh;
m0 = (m0 << lsh) | (m1 >> rsh);
m1 = (m1 << lsh) | (m2 >> rsh);
m2 = (m2 << lsh);
m2 |= (fp->fp_sticky != 0) ? (1 << (lsh - 1)) : 0;
fp->fp_sticky = 0;
}
fp->fp_mant[0] = m0 & (FP_2 - 1);
fp->fp_mant[1] = m1;
fp->fp_mant[2] = m2;
}
/*
* Round a number according to FPCR_MODE.
* (fpu_round() rounds according to FPCR_ROUND as FPCR_MODE = FPCR_EXTD)
*/
// fp を FPCR_PREC(精度)/ FPCR_MODE(RN,RZ,RP,RM) によってラウンディングする。
// FPSR:EXCP に UNFL、INEX2 を立てる場合がある。
// 元からある fpu_round() は拡張精度限定のラウンディング。どうしたもんか。
void
fpu_round_prec(struct fpemu *fe, struct fpn *fp)
{
if (fp->fp_class != FPC_NUM) {
PRINTF("fpu_round_prec class != NUM\n");
return;
}
switch ((fe->fe_fpcr & FPCR_PREC)) {
case FPCR_SNGL:
fpu_round_chkmin(fe, fp, SNG_EXP_BIAS, SNG_FRACBITS);
fpu_round_chkinf(fe, fp, SNG_EXP_BIAS);
break;
case FPCR_DBL:
fpu_round_chkmin(fe, fp, DBL_EXP_BIAS, DBL_FRACBITS);
fpu_round_chkinf(fe, fp, DBL_EXP_BIAS);
break;
case FPCR_EXTD:
default:
//
// 拡張精度だけ fpu_round_chk{min,inf}() と微妙に処理が異なる…。
//
if (fp->fp_exp < -EXT_EXP_BIAS - EXT_FRACBITS) {
// 拡張精度にすると指数が小さすぎて表現できない場合
fe->fe_fpsr |= FPSR_UNFL;
DUMPFP("e1:start", fp);
// sticky だけの状態から FPCR_MODE によるラウンディングで
// fp_mant だけ作る。ここで仮数部ゼロならゼロ。
fp->fp_mant[0] = 0;
fp->fp_mant[1] = 0;
fp->fp_mant[2] = 0;
fp->fp_sticky = 1;
fpu_round(fe, fp);
if (fp->fp_mant[2] == 0)
fp->fp_class = FPC_ZERO;
// fp_mant の LSB に立ってるはずのビットを整数部になるよう正規化。
fp->fp_exp = FP_NMANT - EXT_EXP_BIAS - EXT_FRACBITS;
fpu_norm(fp);
} else if (fp->fp_exp < -EXT_EXP_BIAS) {
// 拡張精度にすると非正規化数になる場合
fe->fe_fpsr |= FPSR_UNFL;
DUMPFP("e2:start", fp);
int shift = FP_NMANT - EXT_FRACBITS - 0/*integer bit included*/;
int effbits = EXT_EXP_BIAS + EXT_FRACBITS + fp->fp_exp;
PRINTF("effbits=%d\n", effbits);
shift += EXT_FRACBITS - effbits;
PRINTF("shift=%d\n", shift);
fpu_shr(fp, shift - FP_NG);
DUMPFP("e2:shr ", fp);
int rup = fpu_round(fe, fp);
uint64_t m = (((uint64_t)fp->fp_mant[1]) << 32)
| (uint64_t)fp->fp_mant[2];
if (rup && m == (1ULL << effbits)) {
fp->fp_exp++;
shift--;
}
DUMPFP("e2:round", fp);
fpu_shl(fp, shift);
DUMPFP("e2:shl ", fp);
if (fp->fp_exp <= -EXT_EXP_BIAS - EXT_FRACBITS) {
PRINTF("e2:zero\n");
fp->fp_class = FPC_ZERO;
}
} else {
int shift = FP_NMANT - EXT_FRACBITS - 0/*Integer bit included*/;
PRINTF("shift=%d\n", shift);
fpu_shr(fp, shift - FP_NG);
DUMPFP("e3:shr ", fp);
int rup = fpu_round(fe, fp);
uint32_t m = fp->fp_mant[1] | fp->fp_mant[2];
if (rup && fp->fp_mant[0] == 1 && m == 0) { /* mant == 2.0 */
fp->fp_exp++;
shift--;
DUMPFP("e3:rup ", fp);
} else
DUMPFP("e3:round", fp);
fpu_shl(fp, shift);
DUMPFP("e3:shl ", fp);
}
if (fp->fp_exp > EXT_EXP_BIAS) {
PRINTF("fpu_round_prec EXTD\n");
fe->fe_fpsr |= FPSR_OVFL;
// 拡張精度で表現できない大きい値の場合は
// 正で RN/RP か、負で RN/RM なら Inf、
// そうでなければ拡張精度で表現できる最大値。
if (fp->fp_sign == 0) {
switch ((fe->fe_fpcr & FPCR_ROUND)) {
case FPCR_NEAR:
case FPCR_PINF:
fp->fp_class = FPC_INF;
break;
}
} else {
switch ((fe->fe_fpcr & FPCR_ROUND)) {
case FPCR_NEAR:
case FPCR_MINF:
fp->fp_class = FPC_INF;
break;
}
}
if (fp->fp_class != FPC_INF) {
PRINTF("fpu_round_prec make INF\n");
// 最大値
fp->fp_exp = EXT_EXP_BIAS;
fp->fp_mant[0] = FP_2 -1;
fp->fp_mant[1] = 0xffffffff;
fp->fp_mant[2] = 0xfff80000;
}
}
break;
}
}
void
fpu_round_chkmin(struct fpemu *fe, struct fpn *fp, int EXP_BIAS, int FRACBITS)
{
int shift;
int effbits;
int rup;
if (fp->fp_exp < -EXP_BIAS - FRACBITS) {
// 指定精度にすると指数が小さすぎて表現できない場合
fe->fe_fpsr |= FPSR_UNFL;
DUMPFP("s1:start", fp);
// sticky だけの状態から FPCR_MODE によるラウンディングで
// fp_mant だけ作る。ここで仮数部ゼロならゼロ。
fp->fp_mant[0] = 0;
fp->fp_mant[1] = 0;
fp->fp_mant[2] = 0;
fp->fp_sticky = 1;
fpu_round(fe, fp);
DUMPFP("s1:round", fp);
if (fp->fp_mant[2] == 0)
fp->fp_class = FPC_ZERO;
// fp_mant の LSB に立ってるはずのビットを整数部になるよう正規化。
fp->fp_exp = FP_NMANT - EXP_BIAS - FRACBITS;
fpu_norm(fp);
DUMPFP("s1:norm ", fp);
return;
}
if (fp->fp_exp <= -EXP_BIAS) {
// 指定精度にすると非正規化数になる場合
fe->fe_fpsr |= FPSR_UNFL;
DUMPFP("s2:start", fp);
shift = FP_NMANT - FRACBITS - 0/*No integer bit*/;
/*
* 1.XX~XX * 2^-127 => effbits = 22
* 1.X * 2^-148 => effbits = 2
* 1. * 2^-149 => effbits = 1
*/
effbits = EXP_BIAS + FRACBITS + fp->fp_exp;
PRINTF("effbits=%d\n", effbits);
shift += FRACBITS - effbits;
PRINTF("shift=%d\n", shift);
fpu_shr(fp, shift - FP_NG);
DUMPFP("s2:shr ", fp);
rup = fpu_round(fe, fp);
uint64_t m = (((uint64_t)fp->fp_mant[1]) << 32)
| (uint64_t)fp->fp_mant[2];
if (rup && m == (1ULL << effbits)) {
fp->fp_exp++;
shift--;
}
DUMPFP("s2:round", fp);
fpu_shl(fp, shift);
DUMPFP("s2:shl ", fp);
if (fp->fp_exp <= -EXP_BIAS - FRACBITS) {
PRINTF("s2:zero\n");
fp->fp_class = FPC_ZERO;
}
return;
}
// 指定精度の正規化数で表現できる場合
DUMPFP("s3:start", fp);
// [0] [1] [2]
// 8765432109876543210 0 0 0 0
// IMMMMMMMMMMMMMMMMMM m..m MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMGR : origin
// IMMMMMMMMMMMMMMMMMMmmmmmmm : shifted
// 21098765432109876543210GR
shift = FP_NMANT - FRACBITS - 1/*Integer bit*/;
fpu_shr(fp, shift - FP_NG);
DUMPFP("s3:shr ", fp);
rup = fpu_round(fe, fp);
uint64_t m = (((uint64_t)fp->fp_mant[1]) << 32)
| (uint64_t)fp->fp_mant[2];
if (rup && (m == (2ULL << FRACBITS))) {
fp->fp_exp++;
shift--;
}
DUMPFP("s3:round", fp);
fpu_shl(fp, shift);
DUMPFP("s3:shl ", fp);
}
void
fpu_round_chkinf(struct fpemu *fe, struct fpn *fp, int EXP_BIAS)
{
if (fp->fp_exp > EXP_BIAS) {
fe->fe_fpsr |= FPSR_OVFL;
// 指定精度で表現できない大きい値の場合は
// 正で RN/RP か、負で RN/RM なら Inf、
// そうでなければ指定精度で表現できる最大値。
if (fp->fp_sign == 0) {
switch ((fe->fe_fpcr & FPCR_ROUND)) {
case FPCR_NEAR:
case FPCR_PINF:
fp->fp_class = FPC_INF;
break;
}
} else {
switch ((fe->fe_fpcr & FPCR_ROUND)) {
case FPCR_NEAR:
case FPCR_MINF:
fp->fp_class = FPC_INF;
break;
}
}
if (fp->fp_class != FPC_INF) {
// 最大値
fp->fp_exp = EXP_BIAS;
fp->fp_mant[0] = FP_2 -1;
switch ((fe->fe_fpcr & FPCR_PREC)) {
case FPCR_SNGL:
fp->fp_mant[1] = 0xf8000000;
fp->fp_mant[2] = 0;
break;
case FPCR_DBL:
fp->fp_mant[1] = 0xffffffff;
fp->fp_mant[2] = 0xc0000000;
break;
case FPCR_EXTD:
fp->fp_mant[1] = 0xffffffff;
fp->fp_mant[2] = 0xfff80000;
break;
}
}
}
}
#endif /* XM6i_FPE */
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