📄 common.c
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x |= (x >> 4);
x |= (x >> 8);
x |= (x >> 16);
return (ones32(x) - 1);
#else
uint32_t count = 0;
while (x >>= 1)
count++;
return count;
#endif
}
/* returns position of first bit that is not 0 from msb,
* starting count at lsb */
uint32_t wl_min_lzc(uint32_t x)
{
#if 1
x |= (x >> 1);
x |= (x >> 2);
x |= (x >> 4);
x |= (x >> 8);
x |= (x >> 16);
return (ones32(x));
#else
uint32_t count = 0;
while (x >>= 1)
count++;
return (count + 1);
#endif
}
#ifdef FIXED_POINT
#define TABLE_BITS 6
/* just take the maximum number of bits for interpolation */
#define INTERP_BITS (REAL_BITS-TABLE_BITS)
static const real_t pow2_tab[] = {
REAL_CONST(1.000000000000000), REAL_CONST(1.010889286051701), REAL_CONST(1.021897148654117),
REAL_CONST(1.033024879021228), REAL_CONST(1.044273782427414), REAL_CONST(1.055645178360557),
REAL_CONST(1.067140400676824), REAL_CONST(1.078760797757120), REAL_CONST(1.090507732665258),
REAL_CONST(1.102382583307841), REAL_CONST(1.114386742595892), REAL_CONST(1.126521618608242),
REAL_CONST(1.138788634756692), REAL_CONST(1.151189229952983), REAL_CONST(1.163724858777578),
REAL_CONST(1.176396991650281), REAL_CONST(1.189207115002721), REAL_CONST(1.202156731452703),
REAL_CONST(1.215247359980469), REAL_CONST(1.228480536106870), REAL_CONST(1.241857812073484),
REAL_CONST(1.255380757024691), REAL_CONST(1.269050957191733), REAL_CONST(1.282870016078778),
REAL_CONST(1.296839554651010), REAL_CONST(1.310961211524764), REAL_CONST(1.325236643159741),
REAL_CONST(1.339667524053303), REAL_CONST(1.354255546936893), REAL_CONST(1.369002422974591),
REAL_CONST(1.383909881963832), REAL_CONST(1.398979672538311), REAL_CONST(1.414213562373095),
REAL_CONST(1.429613338391970), REAL_CONST(1.445180806977047), REAL_CONST(1.460917794180647),
REAL_CONST(1.476826145939499), REAL_CONST(1.492907728291265), REAL_CONST(1.509164427593423),
REAL_CONST(1.525598150744538), REAL_CONST(1.542210825407941), REAL_CONST(1.559004400237837),
REAL_CONST(1.575980845107887), REAL_CONST(1.593142151342267), REAL_CONST(1.610490331949254),
REAL_CONST(1.628027421857348), REAL_CONST(1.645755478153965), REAL_CONST(1.663676580326736),
REAL_CONST(1.681792830507429), REAL_CONST(1.700106353718524), REAL_CONST(1.718619298122478),
REAL_CONST(1.737333835273706), REAL_CONST(1.756252160373300), REAL_CONST(1.775376492526521),
REAL_CONST(1.794709075003107), REAL_CONST(1.814252175500399), REAL_CONST(1.834008086409342),
REAL_CONST(1.853979125083386), REAL_CONST(1.874167634110300), REAL_CONST(1.894575981586966),
REAL_CONST(1.915206561397147), REAL_CONST(1.936061793492294), REAL_CONST(1.957144124175400),
REAL_CONST(1.978456026387951), REAL_CONST(2.000000000000000)
};
static const real_t log2_tab[] = {
REAL_CONST(0.000000000000000), REAL_CONST(0.022367813028455), REAL_CONST(0.044394119358453),
REAL_CONST(0.066089190457772), REAL_CONST(0.087462841250339), REAL_CONST(0.108524456778169),
REAL_CONST(0.129283016944966), REAL_CONST(0.149747119504682), REAL_CONST(0.169925001442312),
REAL_CONST(0.189824558880017), REAL_CONST(0.209453365628950), REAL_CONST(0.228818690495881),
REAL_CONST(0.247927513443585), REAL_CONST(0.266786540694901), REAL_CONST(0.285402218862248),
REAL_CONST(0.303780748177103), REAL_CONST(0.321928094887362), REAL_CONST(0.339850002884625),
REAL_CONST(0.357552004618084), REAL_CONST(0.375039431346925), REAL_CONST(0.392317422778760),
REAL_CONST(0.409390936137702), REAL_CONST(0.426264754702098), REAL_CONST(0.442943495848728),
REAL_CONST(0.459431618637297), REAL_CONST(0.475733430966398), REAL_CONST(0.491853096329675),
REAL_CONST(0.507794640198696), REAL_CONST(0.523561956057013), REAL_CONST(0.539158811108031),
REAL_CONST(0.554588851677637), REAL_CONST(0.569855608330948), REAL_CONST(0.584962500721156),
REAL_CONST(0.599912842187128), REAL_CONST(0.614709844115208), REAL_CONST(0.629356620079610),
REAL_CONST(0.643856189774725), REAL_CONST(0.658211482751795), REAL_CONST(0.672425341971496),
REAL_CONST(0.686500527183218), REAL_CONST(0.700439718141092), REAL_CONST(0.714245517666123),
REAL_CONST(0.727920454563199), REAL_CONST(0.741466986401147), REAL_CONST(0.754887502163469),
REAL_CONST(0.768184324776926), REAL_CONST(0.781359713524660), REAL_CONST(0.794415866350106),
REAL_CONST(0.807354922057604), REAL_CONST(0.820178962415188), REAL_CONST(0.832890014164742),
REAL_CONST(0.845490050944375), REAL_CONST(0.857980995127572), REAL_CONST(0.870364719583405),
REAL_CONST(0.882643049361841), REAL_CONST(0.894817763307943), REAL_CONST(0.906890595608519),
REAL_CONST(0.918863237274595), REAL_CONST(0.930737337562886), REAL_CONST(0.942514505339240),
REAL_CONST(0.954196310386875), REAL_CONST(0.965784284662087), REAL_CONST(0.977279923499917),
REAL_CONST(0.988684686772166), REAL_CONST(1.000000000000000)
};
real_t pow2_fix(real_t val)
{
uint32_t x1, x2;
uint32_t errcorr;
uint32_t index_frac;
real_t retval;
int32_t whole = (val >> REAL_BITS);
/* rest = [0..1] */
int32_t rest = val - (whole << REAL_BITS);
/* index into pow2_tab */
int32_t index = rest >> (REAL_BITS-TABLE_BITS);
if (val == 0)
return (1<<REAL_BITS);
/* leave INTERP_BITS bits */
index_frac = rest >> (REAL_BITS-TABLE_BITS-INTERP_BITS);
index_frac = index_frac & ((1<<INTERP_BITS)-1);
if (whole > 0)
{
retval = 1 << whole;
} else {
retval = REAL_CONST(1) >> -whole;
}
x1 = pow2_tab[index & ((1<<TABLE_BITS)-1)];
x2 = pow2_tab[(index & ((1<<TABLE_BITS)-1)) + 1];
errcorr = ( (index_frac*(x2-x1))) >> INTERP_BITS;
if (whole > 0)
{
retval = retval * (errcorr + x1);
} else {
retval = MUL_R(retval, (errcorr + x1));
}
return retval;
}
int32_t pow2_int(real_t val)
{
uint32_t x1, x2;
uint32_t errcorr;
uint32_t index_frac;
real_t retval;
int32_t whole = (val >> REAL_BITS);
/* rest = [0..1] */
int32_t rest = val - (whole << REAL_BITS);
/* index into pow2_tab */
int32_t index = rest >> (REAL_BITS-TABLE_BITS);
if (val == 0)
return 1;
/* leave INTERP_BITS bits */
index_frac = rest >> (REAL_BITS-TABLE_BITS-INTERP_BITS);
index_frac = index_frac & ((1<<INTERP_BITS)-1);
if (whole > 0)
retval = 1 << whole;
else
retval = 0;
x1 = pow2_tab[index & ((1<<TABLE_BITS)-1)];
x2 = pow2_tab[(index & ((1<<TABLE_BITS)-1)) + 1];
errcorr = ( (index_frac*(x2-x1))) >> INTERP_BITS;
retval = MUL_R(retval, (errcorr + x1));
return retval;
}
/* ld(x) = ld(x*y/y) = ld(x/y) + ld(y), with y=2^N and [1 <= (x/y) < 2] */
int32_t log2_int(uint32_t val)
{
uint32_t frac;
//uint32_t whole = (val);
int32_t exp = 0;
uint32_t index;
uint32_t index_frac;
uint32_t x1, x2;
uint32_t errcorr;
/* error */
if (val == 0)
return -10000;
exp = floor_log2(val);
exp -= REAL_BITS;
/* frac = [1..2] */
if (exp >= 0)
frac = val >> exp;
else
frac = val << -exp;
/* index in the log2 table */
index = frac >> (REAL_BITS-TABLE_BITS);
/* leftover part for linear interpolation */
index_frac = frac & ((1<<(REAL_BITS-TABLE_BITS))-1);
/* leave INTERP_BITS bits */
index_frac = index_frac >> (REAL_BITS-TABLE_BITS-INTERP_BITS);
x1 = log2_tab[index & ((1<<TABLE_BITS)-1)];
x2 = log2_tab[(index & ((1<<TABLE_BITS)-1)) + 1];
/* linear interpolation */
/* retval = exp + ((index_frac)*x2 + (1-index_frac)*x1) */
errcorr = (index_frac * (x2-x1)) >> INTERP_BITS;
return ((exp+REAL_BITS) << REAL_BITS) + errcorr + x1;
}
/* ld(x) = ld(x*y/y) = ld(x/y) + ld(y), with y=2^N and [1 <= (x/y) < 2] */
real_t log2_fix(uint32_t val)
{
uint32_t frac;
//uint32_t whole = (val >> REAL_BITS);
int8_t exp = 0;
uint32_t index;
uint32_t index_frac;
uint32_t x1, x2;
uint32_t errcorr;
/* error */
if (val == 0)
return -100000;
exp = floor_log2(val);
exp -= REAL_BITS;
/* frac = [1..2] */
if (exp >= 0)
frac = val >> exp;
else
frac = val << -exp;
/* index in the log2 table */
index = frac >> (REAL_BITS-TABLE_BITS);
/* leftover part for linear interpolation */
index_frac = frac & ((1<<(REAL_BITS-TABLE_BITS))-1);
/* leave INTERP_BITS bits */
index_frac = index_frac >> (REAL_BITS-TABLE_BITS-INTERP_BITS);
x1 = log2_tab[index & ((1<<TABLE_BITS)-1)];
x2 = log2_tab[(index & ((1<<TABLE_BITS)-1)) + 1];
/* linear interpolation */
/* retval = exp + ((index_frac)*x2 + (1-index_frac)*x1) */
errcorr = (index_frac * (x2-x1)) >> INTERP_BITS;
return (exp << REAL_BITS) + errcorr + x1;
}
#endif
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