mirror of
https://github.com/zydeco/minivmac4ios.git
synced 2024-11-26 15:49:16 +00:00
504 lines
9.8 KiB
C
Executable File
504 lines
9.8 KiB
C
Executable File
/*
|
|
FPMATHNT.h
|
|
|
|
Copyright (C) 2009 Ross Martin, Paul C. Pratt
|
|
|
|
You can redistribute this file and/or modify it under the terms
|
|
of version 2 of the GNU General Public License as published by
|
|
the Free Software Foundation. You should have received a copy
|
|
of the license along with this file; see the file COPYING.
|
|
|
|
This file is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
license for more details.
|
|
*/
|
|
|
|
/*
|
|
Floating Point MATH implemented with NaTive operations
|
|
*/
|
|
|
|
#include <stdio.h>
|
|
#include <math.h>
|
|
|
|
#define FPDEBUG if (0)
|
|
/* #define FPDEBUG */
|
|
|
|
typedef long double myfpr;
|
|
|
|
/*
|
|
Only valid for a host that's an X386 processor
|
|
|
|
68881 extended is 96 bits. This is 1 bit sign, 15 bits exponent
|
|
16 bits unused, 1 bit explicit integer bit of mantissa, and
|
|
63 bits of normal mantissa
|
|
|
|
Intel extended is packed into 128 bits. It is 80 bits, with
|
|
1 bit sign, 15 bits exponent, 1 bit explicit integer bit of
|
|
mantissa, and 63 bits of mantissa.
|
|
|
|
So for the most part these match. Just have to match the correct
|
|
bytes.
|
|
*/
|
|
|
|
#if BigEndianUnaligned
|
|
#define fldbitsi(i) (9 - (i))
|
|
#else
|
|
#define fldbitsi(i) (i)
|
|
#endif
|
|
|
|
LOCALPROC myfp_FromExtendedFormat(myfpr *r, ui4r v2, ui5r v1, ui5r v0)
|
|
{
|
|
int ii;
|
|
union {
|
|
ui3b fbits[16];
|
|
myfpr x;
|
|
} extended_p, fixer;
|
|
myfpr result;
|
|
|
|
/* filler. Don't really need, helped me debug */
|
|
for (ii = 10; ii < 16; ii++) {
|
|
extended_p.fbits[ii] = 0x77;
|
|
}
|
|
|
|
/* sign and exponent */
|
|
*(ui4b *)&extended_p.fbits[fldbitsi(8)] = v2;
|
|
|
|
/* mantissa */
|
|
*(ui5b *)&extended_p.fbits[fldbitsi(4)] = v1;
|
|
*(ui5b *)&extended_p.fbits[fldbitsi(0)] = v0;
|
|
|
|
result = extended_p.x;
|
|
|
|
|
|
FPDEBUG printf("read_long_double reads %lf (0x",
|
|
(double)extended_p.x);
|
|
FPDEBUG {
|
|
int ii;
|
|
|
|
for (ii = 12; ii >= 0; ii--) {
|
|
printf("%02x", extended_p.fbits[ii]);
|
|
}
|
|
}
|
|
|
|
|
|
|
|
/*
|
|
Check for unusual condition where 68881 mantissa high bit
|
|
isnt' set.
|
|
This is an error for the x86 FPU, so I need to patch it.
|
|
*/
|
|
|
|
if ((extended_p.fbits[fldbitsi(7)] & 0x80) == 0x00) {
|
|
/* High bit of mantissa isn't set */
|
|
|
|
if (((extended_p.fbits[fldbitsi(9)] & 0x7F) == 0x7F)
|
|
&& (extended_p.fbits[fldbitsi(8)] == 0xFF))
|
|
{
|
|
/* infinity, OK for mantissa high bit to not be set */
|
|
} else if (((extended_p.fbits[fldbitsi(9)] & 0x7F) == 0x00)
|
|
&& (extended_p.fbits[fldbitsi(8)] == 0x00))
|
|
{
|
|
/* zero, OK for mantissa high bit to not be set */
|
|
} else {
|
|
/*
|
|
Not OK for mantissa high bit to not be set.
|
|
Fix using the FPU itself
|
|
*/
|
|
|
|
extended_p.fbits[fldbitsi(7)] =
|
|
extended_p.fbits[fldbitsi(7)] | 0x80;
|
|
/* Force top bit to 1 */
|
|
|
|
/*
|
|
Create a second extended long with *only* the high bit
|
|
of the mantissa set, identical sign and exponent. Then
|
|
subtract it off to remove the 1 bit we just forced in
|
|
the top of the mantissa.
|
|
*/
|
|
|
|
/* sign and exponent */
|
|
fixer.fbits[fldbitsi(9)] = extended_p.fbits[fldbitsi(9)];
|
|
fixer.fbits[fldbitsi(8)] = extended_p.fbits[fldbitsi(8)];
|
|
|
|
/* mantissa */
|
|
fixer.fbits[fldbitsi(7)] = 0x80;
|
|
fixer.fbits[fldbitsi(6)] = 0x00;
|
|
fixer.fbits[fldbitsi(5)] = 0x00;
|
|
fixer.fbits[fldbitsi(4)] = 0x00;
|
|
fixer.fbits[fldbitsi(3)] = 0x00;
|
|
fixer.fbits[fldbitsi(2)] = 0x00;
|
|
fixer.fbits[fldbitsi(1)] = 0x00;
|
|
fixer.fbits[fldbitsi(0)] = 0x00;
|
|
|
|
result = extended_p.x - fixer.x;
|
|
|
|
FPDEBUG
|
|
{
|
|
printf(
|
|
"Fixing denormalized extended precision float\n");
|
|
|
|
printf("XP: 0x");
|
|
for (ii = 0; ii < 16; ii++) {
|
|
printf("%02x", extended_p.fbits[ii]);
|
|
}
|
|
printf(" %lf\n", (double)extended_p.x);
|
|
|
|
printf("FX: 0x");
|
|
for (ii = 0; ii < 16; ii++) {
|
|
printf("%02x", fixer.fbits[ii]);
|
|
}
|
|
printf(" %lf\n", (double)fixer.x);
|
|
|
|
fixer.x = result;
|
|
|
|
printf("Out: 0x");
|
|
for (ii = 0; ii < 16; ii++) {
|
|
printf("%02x", fixer.fbits[ii]);
|
|
}
|
|
printf(" %lf\n", (double)fixer.x);
|
|
}
|
|
}
|
|
}
|
|
|
|
/*
|
|
printf("XP: 0x");
|
|
for (ii = 0; ii < 16; ii++) {
|
|
printf("%02x", extended_p.fbits[ii]);
|
|
}
|
|
printf(" %lf\n", (double)extended_p.x);
|
|
|
|
extended_p.x = 1.5 + 7.0 / 1024 / 1024 / 1024 / 1024;
|
|
|
|
printf("ZP: 0x");
|
|
for(ii = 0; ii < 16; ii++) {
|
|
printf("%02x", extended_p.fbits[ii]);
|
|
}
|
|
printf(" %lf\n", (double)extended_p.x);
|
|
*/
|
|
|
|
/*
|
|
printf("read_long_double returns %lf\n", (double)extended_p.x);
|
|
*/
|
|
|
|
*r = result;
|
|
}
|
|
|
|
|
|
LOCALPROC myfp_ToExtendedFormat(myfpr *dd, ui4r *v2, ui5r *v1, ui5r *v0)
|
|
{
|
|
union {
|
|
ui3b fbits[16];
|
|
myfpr x;
|
|
} extended_p;
|
|
|
|
extended_p.x = *dd;
|
|
|
|
/* sign and exponent */
|
|
*v2 = *(ui4b *)&extended_p.fbits[fldbitsi(8)];
|
|
|
|
/* mantissa */
|
|
*v1 = *(ui5b *)&extended_p.fbits[fldbitsi(4)];
|
|
*v0 = *(ui5b *)&extended_p.fbits[fldbitsi(0)];
|
|
}
|
|
|
|
|
|
/*
|
|
Only valid for a host that's an X386 processor
|
|
*/
|
|
|
|
#if BigEndianUnaligned
|
|
#define fdbitsi(i) (7 - (i))
|
|
#else
|
|
#define fdbitsi(i) (i)
|
|
#endif
|
|
|
|
LOCALPROC myfp_FromDoubleFormat(myfpr *r, ui5r v1, ui5r v0)
|
|
{
|
|
union {
|
|
ui3b fbits[8];
|
|
double d;
|
|
} double_p;
|
|
|
|
*(ui5b *)&double_p.fbits[fdbitsi(4)] = v1;
|
|
*(ui5b *)&double_p.fbits[fdbitsi(0)] = v0;
|
|
|
|
*r = (myfpr)double_p.d;
|
|
}
|
|
|
|
LOCALPROC myfp_ToDoubleFormat(myfpr *dd, ui5r *v1, ui5r *v0)
|
|
{
|
|
union {
|
|
ui3b fbits[8];
|
|
double d;
|
|
} double_p;
|
|
|
|
double_p.d = (double)*dd;
|
|
|
|
*v1 = *(ui5b *)&double_p.fbits[fdbitsi(4)];
|
|
*v0 = *(ui5b *)&double_p.fbits[fdbitsi(0)];
|
|
}
|
|
|
|
|
|
LOCALPROC myfp_FromSingleFormat(myfpr *r, ui5r x)
|
|
{
|
|
union {
|
|
ui5b fbits;
|
|
float f;
|
|
} single_p;
|
|
|
|
single_p.fbits = x;
|
|
|
|
*r = (myfpr)single_p.f;
|
|
}
|
|
|
|
|
|
LOCALFUNC ui5r myfp_ToSingleFormat(myfpr *ff)
|
|
{
|
|
union {
|
|
ui5b fbits;
|
|
float f;
|
|
} single_p;
|
|
|
|
single_p.f = (float)*ff;
|
|
|
|
return single_p.fbits;
|
|
}
|
|
|
|
LOCALPROC myfp_FromLong(myfpr *r, ui5r x)
|
|
{
|
|
*r = (myfpr)(si5b)x;
|
|
}
|
|
|
|
LOCALFUNC ui5r myfp_ToLong(myfpr *x)
|
|
{
|
|
return (ui5r)(si5r)(si5b)*x;
|
|
}
|
|
|
|
LOCALFUNC blnr myfp_IsNan(myfpr *x)
|
|
{
|
|
return isnan(*x);
|
|
}
|
|
|
|
LOCALFUNC blnr myfp_IsInf(myfpr *x)
|
|
{
|
|
return isinf(*x);
|
|
}
|
|
|
|
LOCALFUNC blnr myfp_IsZero(myfpr *x)
|
|
{
|
|
return (*x == 0.0);
|
|
}
|
|
|
|
LOCALFUNC blnr myfp_IsNeg(myfpr *x)
|
|
{
|
|
return (*x < 0.0);
|
|
}
|
|
|
|
#define myfp_Add(r, a, b) (*r) = ((*a) + (*b))
|
|
#define myfp_Sub(r, a, b) (*r) = ((*a) - (*b))
|
|
#define myfp_Mul(r, a, b) (*r) = ((*a) * (*b))
|
|
#define myfp_Div(r, a, b) (*r) = ((*a) / (*b))
|
|
#define myfp_Mod(r, a, b) (*r) = (fmod((*a), (*b)))
|
|
#define myfp_Rem(r, a, b) (*r) = (remainder((*a), (*b)))
|
|
|
|
LOCALPROC myfp_Scale(myfpr *r, myfpr *a, myfpr *b)
|
|
{
|
|
myfpr fscaleval;
|
|
fscaleval = (*b < 0.0) ? ceil(*b) : floor(*b);
|
|
*r = *a * pow(2.0, fscaleval);
|
|
}
|
|
|
|
LOCALPROC myfp_GetMan(myfpr *r, myfpr *x)
|
|
{
|
|
int expval;
|
|
|
|
*r = frexp(*x, &expval) * 2.0;
|
|
}
|
|
|
|
LOCALPROC myfp_GetExp(myfpr *r, myfpr *x)
|
|
{
|
|
int expval;
|
|
|
|
(void) frexp(*x, &expval);
|
|
*r = (myfpr) (expval - 1);
|
|
}
|
|
|
|
LOCALPROC myfp_IntRZ(myfpr *r, myfpr *x)
|
|
{
|
|
*r = (*x < 0.0) ? ceil(*x) : floor(*x);
|
|
}
|
|
|
|
LOCALPROC myfp_Int(myfpr *r, myfpr *x)
|
|
{
|
|
/* Should take the current rounding mode into account, don't */
|
|
*r = floor(*x + 0.5);
|
|
}
|
|
|
|
#define myfp_RoundToSingle(r, x) (*r) = ((myfpr)(float)(*x))
|
|
#define myfp_RoundToDouble(r, x) (*r) = ((myfpr)(double)(*x))
|
|
|
|
#define myfp_Abs(r, x) (*r) = (((*x) < 0) ? - (*x) : (*x))
|
|
#define myfp_Neg(r, x) (*r) = (- (*x))
|
|
#define myfp_Sqrt(r, x) (*r) = (sqrt(*x))
|
|
|
|
#define myfp_TenToX(r, x) (*r) = (pow(10.0, *x))
|
|
#define myfp_TwoToX(r, x) (*r) = (pow(2.0, *x))
|
|
#define myfp_EToX(r, x) (*r) = (exp(*x))
|
|
#define myfp_EToXM1(r, x) (*r) = (exp(*x) - 1.0)
|
|
#define myfp_Log10(r, x) (*r) = (log10(*x))
|
|
#define myfp_Log2(r, x) (*r) = (log(*x) / log(2.0))
|
|
#define myfp_LogN(r, x) (*r) = (log(*x))
|
|
#define myfp_LogNP1(r, x) (*x) = (log(*x + 1.0))
|
|
|
|
#define myfp_Sin(r, x) (*r) = (sin(*x))
|
|
#define myfp_Cos(r, x) (*r) = (cos(*x))
|
|
#define myfp_Tan(r, x) (*r) = (tan(*x))
|
|
|
|
#define myfp_ASin(r, x) (*r) = (asin(*x))
|
|
#define myfp_ACos(r, x) (*r) = (acos(*x))
|
|
#define myfp_ATan(r, x) (*r) = (atan(*x))
|
|
|
|
#define myfp_Sinh(r, x) (*r) = (sinh(*x))
|
|
#define myfp_Cosh(r, x) (*r) = (cosh(*x))
|
|
#define myfp_Tanh(r, x) (*r) = (tanh(*x))
|
|
|
|
#define myfp_ATanh(r, x) (*r) = (atanh(*x))
|
|
|
|
LOCALPROC myfp_SinCos(myfpr *r_sin, myfpr *r_cos, myfpr *source)
|
|
{
|
|
*r_sin = sin(*source);
|
|
*r_cos = cos(*source);
|
|
}
|
|
|
|
LOCALFUNC blnr myfp_getCR(myfpr *r, ui4b opmode)
|
|
{
|
|
myfpr v;
|
|
|
|
switch (opmode) {
|
|
case 0x00:
|
|
v = M_PI;
|
|
break;
|
|
case 0x0B:
|
|
v = log10(2.0);
|
|
break;
|
|
case 0x0C:
|
|
v = exp(1.0);
|
|
break;
|
|
case 0x0D:
|
|
v = 1.0 / log(2.0);
|
|
break;
|
|
case 0x0E:
|
|
v = 1.0 / log(10.0);
|
|
break;
|
|
case 0x0F:
|
|
v = 0.0;
|
|
break;
|
|
case 0x30:
|
|
v = log(2.0);
|
|
break;
|
|
case 0x31:
|
|
v = log(10.0);
|
|
break;
|
|
case 0x32:
|
|
v = 1.0;
|
|
break;
|
|
case 0x33:
|
|
v = 10.0;
|
|
break;
|
|
case 0x34:
|
|
v = 100.0;
|
|
break;
|
|
case 0x35:
|
|
v = 10000.0;
|
|
break;
|
|
case 0x36:
|
|
v = 1.0e8;
|
|
break;
|
|
case 0x37:
|
|
v = 1.0e16;
|
|
break;
|
|
case 0x38:
|
|
v = 1.0e32;
|
|
break;
|
|
case 0x39:
|
|
v = 1.0e64;
|
|
break;
|
|
case 0x3A:
|
|
v = 1.0e128;
|
|
break;
|
|
case 0x3B:
|
|
v = 1.0e256;
|
|
break;
|
|
case 0x3C:
|
|
v = 1.0e512;
|
|
break;
|
|
case 0x3D:
|
|
v = 1.0e1024;
|
|
break;
|
|
case 0x3E:
|
|
v = 1.0e2048;
|
|
break;
|
|
case 0x3F:
|
|
v = 1.0e4096;
|
|
break;
|
|
default:
|
|
return falseblnr;
|
|
}
|
|
|
|
*r = v;
|
|
return trueblnr;
|
|
}
|
|
|
|
LOCALVAR struct myfp_envStruct
|
|
{
|
|
ui5r FPCR; /* Floating point control register */
|
|
ui5r FPSR; /* Floating point status register */
|
|
} myfp_env;
|
|
|
|
LOCALPROC myfp_SetFPCR(ui5r v)
|
|
{
|
|
myfp_env.FPCR = v;
|
|
}
|
|
|
|
LOCALPROC myfp_SetFPSR(ui5r v)
|
|
{
|
|
myfp_env.FPSR = v;
|
|
}
|
|
|
|
LOCALFUNC ui5r myfp_GetFPCR(void)
|
|
{
|
|
return myfp_env.FPCR;
|
|
}
|
|
|
|
LOCALFUNC ui5r myfp_GetFPSR(void)
|
|
{
|
|
return myfp_env.FPSR;
|
|
}
|
|
|
|
LOCALFUNC ui3r myfp_GetConditionCodeByte(void)
|
|
{
|
|
return (myfp_env.FPSR >> 24) & 0x0F;
|
|
}
|
|
|
|
LOCALPROC myfp_SetConditionCodeByte(ui3r v)
|
|
{
|
|
myfp_env.FPSR = ((myfp_env.FPSR & 0x00FFFFFF)
|
|
| (v << 24));
|
|
}
|
|
|
|
LOCALPROC myfp_SetConditionCodeByteFromResult(myfpr *result)
|
|
{
|
|
/* Set condition codes here based on result */
|
|
|
|
int c_nan = myfp_IsNan(result) ? 1 : 0;
|
|
int c_inf = myfp_IsInf(result) ? 1 : 0;
|
|
int c_zero = myfp_IsZero(result) ? 1 : 0;
|
|
int c_neg = myfp_IsNeg(result) ? 1 : 0;
|
|
|
|
myfp_SetConditionCodeByte(c_nan
|
|
| (c_inf << 1)
|
|
| (c_zero << 2)
|
|
| (c_neg << 3));
|
|
}
|