GC parameters encoded as floating-point bytes

This encoding brings more precision and a larger range for these
parameters.
This commit is contained in:
Roberto Ierusalimschy
2023-12-20 16:25:20 -03:00
parent 666e95a66d
commit ad0ea7813b
8 changed files with 113 additions and 57 deletions

View File

@@ -33,7 +33,7 @@
** Computes ceil(log2(x))
*/
int luaO_ceillog2 (unsigned int x) {
static const lu_byte log_2[256] = { /* log_2[i] = ceil(log2(i - 1)) */
static const lu_byte log_2[256] = { /* log_2[i - 1] = ceil(log2(i)) */
0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
@@ -49,6 +49,57 @@ int luaO_ceillog2 (unsigned int x) {
return l + log_2[x];
}
/*
** Encodes 'p'% as a floating-point byte, represented as (eeeeexxx).
** The exponent is represented using excess-7. Mimicking IEEE 754, the
** representation normalizes the number when possible, assuming an extra
** 1 before the mantissa (xxx) and adding one to the exponent (eeeeexxx)
** to signal that. So, the real value is (1xxx) * 2^(eeeee - 8) if
** eeeee != 0, and (xxx) * 2^-7 otherwise.
*/
unsigned int luaO_codeparam (unsigned int p) {
if (p >= (cast(lu_mem, 0xF) << 0xF) / 128 * 100) /* overflow? */
return 0xFF; /* return maximum value */
else {
p = (p * 128u) / 100;
if (p <= 0xF)
return p;
else {
int log = luaO_ceillog2(p + 1) - 5;
return ((p >> log) - 0x10) | ((log + 1) << 4);
}
}
}
/*
** Computes 'p' times 'x', where 'p' is a floating-point byte.
*/
l_obj luaO_applyparam (unsigned int p, l_obj x) {
unsigned int m = p & 0xF; /* mantissa */
int e = (p >> 4); /* exponent */
if (e > 0) { /* normalized? */
e--;
m += 0x10; /* maximum 'm' is 0x1F */
}
e -= 7; /* correct excess-7 */
if (e < 0) {
e = -e;
if (x < MAX_LOBJ / 0x1F) /* multiplication cannot overflow? */
return (x * m) >> e; /* multiplying first gives more precision */
else if ((x >> e) < MAX_LOBJ / 0x1F) /* cannot overflow after shift? */
return (x >> e) * m;
else /* real overflow */
return MAX_LOBJ;
}
else {
if (x < (MAX_LOBJ / 0x1F) >> e) /* no overflow? */
return (x * m) << e; /* order doesn't matter here */
else /* real overflow */
return MAX_LOBJ;
}
}
static lua_Integer intarith (lua_State *L, int op, lua_Integer v1,
lua_Integer v2) {