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/* multi_arith.h: multi-precision integer arithmetic functions, needed
to do extended-precision floating point.
(c) 1998 David Huggins-Daines.
Somewhat based on arch/alpha/math-emu/ieee-math.c, which is (c)
David Mosberger-Tang.
You may copy, modify, and redistribute this file under the terms of
the GNU General Public License, version 2, or any later version, at
your convenience. */
/* Note:
These are not general multi-precision math routines. Rather, they
implement the subset of integer arithmetic that we need in order to
multiply, divide, and normalize 128-bit unsigned mantissae. */
#ifndef MULTI_ARITH_H
#define MULTI_ARITH_H
#if 0 /* old code... */
/* Unsigned only, because we don't need signs to multiply and divide. */
typedef unsigned int int128[4];
/* Word order */
enum {
MSW128,
NMSW128,
NLSW128,
LSW128
};
/* big-endian */
#define LO_WORD(ll) (((unsigned int *) &ll)[1])
#define HI_WORD(ll) (((unsigned int *) &ll)[0])
/* Convenience functions to stuff various integer values into int128s */
static inline void zero128(int128 a)
{
a[LSW128] = a[NLSW128] = a[NMSW128] = a[MSW128] = 0;
}
/* Human-readable word order in the arguments */
static inline void set128(unsigned int i3, unsigned int i2, unsigned int i1,
unsigned int i0, int128 a)
{
a[LSW128] = i0;
a[NLSW128] = i1;
a[NMSW128] = i2;
a[MSW128] = i3;
}
/* Convenience functions (for testing as well) */
static inline void int64_to_128(unsigned long long src, int128 dest)
{
dest[LSW128] = (unsigned int) src;
dest[NLSW128] = src >> 32;
dest[NMSW128] = dest[MSW128] = 0;
}
static inline void int128_to_64(const int128 src, unsigned long long *dest)
{
*dest = src[LSW128] | (long long) src[NLSW128] << 32;
}
static inline void put_i128(const int128 a)
{
printk("%08x %08x %08x %08x\n", a[MSW128], a[NMSW128],
a[NLSW128], a[LSW128]);
}
/* Internal shifters:
Note that these are only good for 0 < count < 32.
*/
static inline void _lsl128(unsigned int count, int128 a)
{
a[MSW128] = (a[MSW128] << count) | (a[NMSW128] >> (32 - count));
a[NMSW128] = (a[NMSW128] << count) | (a[NLSW128] >> (32 - count));
a[NLSW128] = (a[NLSW128] << count) | (a[LSW128] >> (32 - count));
a[LSW128] <<= count;
}
static inline void _lsr128(unsigned int count, int128 a)
{
a[LSW128] = (a[LSW128] >> count) | (a[NLSW128] << (32 - count));
a[NLSW128] = (a[NLSW128] >> count) | (a[NMSW128] << (32 - count));
a[NMSW128] = (a[NMSW128] >> count) | (a[MSW128] << (32 - count));
a[MSW128] >>= count;
}
/* Should be faster, one would hope */
static inline void lslone128(int128 a)
{
asm volatile ("lsl.l #1,%0\n"
"roxl.l #1,%1\n"
"roxl.l #1,%2\n"
"roxl.l #1,%3\n"
:
"=d" (a[LSW128]),
"=d"(a[NLSW128]),
"=d"(a[NMSW128]),
"=d"(a[MSW128])
:
"0"(a[LSW128]),
"1"(a[NLSW128]),
"2"(a[NMSW128]),
"3"(a[MSW128]));
}
static inline void lsrone128(int128 a)
{
asm volatile ("lsr.l #1,%0\n"
"roxr.l #1,%1\n"
"roxr.l #1,%2\n"
"roxr.l #1,%3\n"
:
"=d" (a[MSW128]),
"=d"(a[NMSW128]),
"=d"(a[NLSW128]),
"=d"(a[LSW128])
:
"0"(a[MSW128]),
"1"(a[NMSW128]),
"2"(a[NLSW128]),
"3"(a[LSW128]));
}
/* Generalized 128-bit shifters:
These bit-shift to a multiple of 32, then move whole longwords. */
static inline void lsl128(unsigned int count, int128 a)
{
int wordcount, i;
if (count % 32)
_lsl128(count % 32, a);
if (0 == (wordcount = count / 32))
return;
/* argh, gak, endian-sensitive */
for (i = 0; i < 4 - wordcount; i++) {
a[i] = a[i + wordcount];
}
for (i = 3; i >= 4 - wordcount; --i) {
a[i] = 0;
}
}
static inline void lsr128(unsigned int count, int128 a)
{
int wordcount, i;
if (count % 32)
_lsr128(count % 32, a);
if (0 == (wordcount = count / 32))
return;
for (i = 3; i >= wordcount; --i) {
a[i] = a[i - wordcount];
}
for (i = 0; i < wordcount; i++) {
a[i] = 0;
}
}
static inline int orl128(int a, int128 b)
{
b[LSW128] |= a;
}
static inline int btsthi128(const int128 a)
{
return a[MSW128] & 0x80000000;
}
/* test bits (numbered from 0 = LSB) up to and including "top" */
static inline int bftestlo128(int top, const int128 a)
{
int r = 0;
if (top > 31)
r |= a[LSW128];
if (top > 63)
r |= a[NLSW128];
if (top > 95)
r |= a[NMSW128];
r |= a[3 - (top / 32)] & ((1 << (top % 32 + 1)) - 1);
return (r != 0);
}
/* Aargh. We need these because GCC is broken */
/* FIXME: do them in assembly, for goodness' sake! */
static inline void mask64(int pos, unsigned long long *mask)
{
*mask = 0;
if (pos < 32) {
LO_WORD(*mask) = (1 << pos) - 1;
return;
}
LO_WORD(*mask) = -1;
HI_WORD(*mask) = (1 << (pos - 32)) - 1;
}
static inline void bset64(int pos, unsigned long long *dest)
{
/* This conditional will be optimized away. Thanks, GCC! */
if (pos < 32)
asm volatile ("bset %1,%0":"=m"
(LO_WORD(*dest)):"id"(pos));
else
asm volatile ("bset %1,%0":"=m"
(HI_WORD(*dest)):"id"(pos - 32));
}
static inline int btst64(int pos, unsigned long long dest)
{
if (pos < 32)
return (0 != (LO_WORD(dest) & (1 << pos)));
else
return (0 != (HI_WORD(dest) & (1 << (pos - 32))));
}
static inline void lsl64(int count, unsigned long long *dest)
{
if (count < 32) {
HI_WORD(*dest) = (HI_WORD(*dest) << count)
| (LO_WORD(*dest) >> count);
LO_WORD(*dest) <<= count;
return;
}
count -= 32;
HI_WORD(*dest) = LO_WORD(*dest) << count;
LO_WORD(*dest) = 0;
}
static inline void lsr64(int count, unsigned long long *dest)
{
if (count < 32) {
LO_WORD(*dest) = (LO_WORD(*dest) >> count)
| (HI_WORD(*dest) << (32 - count));
HI_WORD(*dest) >>= count;
return;
}
count -= 32;
LO_WORD(*dest) = HI_WORD(*dest) >> count;
HI_WORD(*dest) = 0;
}
#endif
static inline void fp_denormalize(struct fp_ext *reg, unsigned int cnt)
{
reg->exp += cnt;
switch (cnt) {
case 0 ... 8:
reg->lowmant = reg->mant.m32[1] << (8 - cnt);
reg->mant.m32[1] = (reg->mant.m32[1] >> cnt) |
(reg->mant.m32[0] << (32 - cnt));
reg->mant.m32[0] = reg->mant.m32[0] >> cnt;
break;
case 9 ... 32:
reg->lowmant = reg->mant.m32[1] >> (cnt - 8);
if (reg->mant.m32[1] << (40 - cnt))
reg->lowmant |= 1;
reg->mant.m32[1] = (reg->mant.m32[1] >> cnt) |
(reg->mant.m32[0] << (32 - cnt));
reg->mant.m32[0] = reg->mant.m32[0] >> cnt;
break;
case 33 ... 39:
asm volatile ("bfextu %1{%2,#8},%0" : "=d" (reg->lowmant)
: "m" (reg->mant.m32[0]), "d" (64 - cnt));
if (reg->mant.m32[1] << (40 - cnt))
reg->lowmant |= 1;
reg->mant.m32[1] = reg->mant.m32[0] >> (cnt - 32);
reg->mant.m32[0] = 0;
break;
case 40 ... 71:
reg->lowmant = reg->mant.m32[0] >> (cnt - 40);
if ((reg->mant.m32[0] << (72 - cnt)) || reg->mant.m32[1])
reg->lowmant |= 1;
reg->mant.m32[1] = reg->mant.m32[0] >> (cnt - 32);
reg->mant.m32[0] = 0;
break;
default:
reg->lowmant = reg->mant.m32[0] || reg->mant.m32[1];
reg->mant.m32[0] = 0;
reg->mant.m32[1] = 0;
break;
}
}
static inline int fp_overnormalize(struct fp_ext *reg)
{
int shift;
if (reg->mant.m32[0]) {
asm ("bfffo %1{#0,#32},%0" : "=d" (shift) : "dm" (reg->mant.m32[0]));
reg->mant.m32[0] = (reg->mant.m32[0] << shift) |
|