#![allow(dead_code)]
#![allow(clippy::excessive_precision)]
#[cfg(feature = "float64")]
pub type floatX = f64;
#[cfg(not(feature = "float64"))]
pub type floatX = f32;
static kLog2Table: [f32; 256] = [
0.0000000000000000,
0.0000000000000000,
1.0000000000000000,
1.5849625007211563,
2.0000000000000000,
2.3219280948873622,
2.5849625007211561,
2.8073549220576042,
3.0000000000000000,
3.1699250014423126,
3.3219280948873626,
3.4594316186372978,
3.5849625007211565,
3.7004397181410922,
3.8073549220576037,
3.9068905956085187,
4.0000000000000000,
4.0874628412503400,
4.1699250014423122,
4.2479275134435852,
4.3219280948873626,
4.3923174227787607,
4.4594316186372973,
4.5235619560570131,
4.5849625007211570,
4.6438561897747244,
4.7004397181410926,
4.7548875021634691,
4.8073549220576037,
4.8579809951275728,
4.9068905956085187,
4.9541963103868758,
5.0000000000000000,
5.0443941193584534,
5.0874628412503400,
5.1292830169449664,
5.1699250014423122,
5.2094533656289501,
5.2479275134435852,
5.2854022188622487,
5.3219280948873626,
5.3575520046180838,
5.3923174227787607,
5.4262647547020979,
5.4594316186372973,
5.4918530963296748,
5.5235619560570131,
5.5545888516776376,
5.5849625007211570,
5.6147098441152083,
5.6438561897747244,
5.6724253419714961,
5.7004397181410926,
5.7279204545631996,
5.7548875021634691,
5.7813597135246599,
5.8073549220576046,
5.8328900141647422,
5.8579809951275719,
5.8826430493618416,
5.9068905956085187,
5.9307373375628867,
5.9541963103868758,
5.9772799234999168,
6.0000000000000000,
6.0223678130284544,
6.0443941193584534,
6.0660891904577721,
6.0874628412503400,
6.1085244567781700,
6.1292830169449672,
6.1497471195046822,
6.1699250014423122,
6.1898245588800176,
6.2094533656289510,
6.2288186904958804,
6.2479275134435861,
6.2667865406949019,
6.2854022188622487,
6.3037807481771031,
6.3219280948873617,
6.3398500028846252,
6.3575520046180847,
6.3750394313469254,
6.3923174227787598,
6.4093909361377026,
6.4262647547020979,
6.4429434958487288,
6.4594316186372982,
6.4757334309663976,
6.4918530963296748,
6.5077946401986964,
6.5235619560570131,
6.5391588111080319,
6.5545888516776376,
6.5698556083309478,
6.5849625007211561,
6.5999128421871278,
6.6147098441152092,
6.6293566200796095,
6.6438561897747253,
6.6582114827517955,
6.6724253419714952,
6.6865005271832185,
6.7004397181410917,
6.7142455176661224,
6.7279204545631988,
6.7414669864011465,
6.7548875021634691,
6.7681843247769260,
6.7813597135246599,
6.7944158663501062,
6.8073549220576037,
6.8201789624151887,
6.8328900141647422,
6.8454900509443757,
6.8579809951275719,
6.8703647195834048,
6.8826430493618416,
6.8948177633079437,
6.9068905956085187,
6.9188632372745955,
6.9307373375628867,
6.9425145053392399,
6.9541963103868758,
6.9657842846620879,
6.9772799234999168,
6.9886846867721664,
7.0000000000000000,
7.0112272554232540,
7.0223678130284544,
7.0334230015374501,
7.0443941193584534,
7.0552824355011898,
7.0660891904577721,
7.0768155970508317,
7.0874628412503400,
7.0980320829605272,
7.1085244567781700,
7.1189410727235076,
7.1292830169449664,
7.1395513523987937,
7.1497471195046822,
7.1598713367783891,
7.1699250014423130,
7.1799090900149345,
7.1898245588800176,
7.1996723448363644,
7.2094533656289492,
7.2191685204621621,
7.2288186904958804,
7.2384047393250794,
7.2479275134435861,
7.2573878426926521,
7.2667865406949019,
7.2761244052742384,
7.2854022188622487,
7.2946207488916270,
7.3037807481771031,
7.3128829552843557,
7.3219280948873617,
7.3309168781146177,
7.3398500028846243,
7.3487281542310781,
7.3575520046180847,
7.3663222142458151,
7.3750394313469254,
7.3837042924740528,
7.3923174227787607,
7.4008794362821844,
7.4093909361377026,
7.4178525148858991,
7.4262647547020979,
7.4346282276367255,
7.4429434958487288,
7.4512111118323299,
7.4594316186372973,
7.4676055500829976,
7.4757334309663976,
7.4838157772642564,
7.4918530963296748,
7.4998458870832057,
7.5077946401986964,
7.5156998382840436,
7.5235619560570131,
7.5313814605163119,
7.5391588111080319,
7.5468944598876373,
7.5545888516776376,
7.5622424242210728,
7.5698556083309478,
7.5774288280357487,
7.5849625007211561,
7.5924570372680806,
7.5999128421871278,
7.6073303137496113,
7.6147098441152075,
7.6220518194563764,
7.6293566200796095,
7.6366246205436488,
7.6438561897747244,
7.6510516911789290,
7.6582114827517955,
7.6653359171851765,
7.6724253419714952,
7.6794800995054464,
7.6865005271832185,
7.6934869574993252,
7.7004397181410926,
7.7073591320808825,
7.7142455176661224,
7.7210991887071856,
7.7279204545631996,
7.7347096202258392,
7.7414669864011465,
7.7481928495894596,
7.7548875021634691,
7.7615512324444795,
7.7681843247769260,
7.7747870596011737,
7.7813597135246608,
7.7879025593914317,
7.7944158663501062,
7.8008998999203047,
7.8073549220576037,
7.8137811912170374,
7.8201789624151887,
7.8265484872909159,
7.8328900141647422,
7.8392037880969445,
7.8454900509443757,
7.8517490414160571,
7.8579809951275719,
7.8641861446542798,
7.8703647195834048,
7.8765169465650002,
7.8826430493618425,
7.8887432488982601,
7.8948177633079446,
7.9008668079807496,
7.9068905956085187,
7.9128893362299619,
7.9188632372745955,
7.9248125036057813,
7.9307373375628867,
7.9366379390025719,
7.9425145053392399,
7.9483672315846778,
7.9541963103868758,
7.9600019320680806,
7.9657842846620870,
7.9715435539507720,
7.9772799234999168,
7.9829935746943104,
7.9886846867721664,
7.9943534368588578,
];
#[inline(always)]
pub fn FastLog2u16(v: u16) -> floatX {
log64k[v as usize]
}
#[cfg(feature = "std")]
#[inline(always)]
pub fn FastLog2(v: u64) -> floatX {
if v < 256 {
return kLog2Table[v as usize] as floatX;
}
(v as f32).log2() as floatX
}
#[cfg(not(feature = "std"))]
#[inline(always)]
pub fn FastLog2(v: u64) -> floatX {
if v < 256 {
return kLog2Table[v as usize] as floatX;
}
FastLog2u64(v)
}
#[cfg(feature = "std")]
#[inline(always)]
pub fn FastLog2f64(v: u64) -> floatX {
if v < 256 {
return kLog2Table[v as usize] as floatX;
}
(v as floatX).log2()
}
#[cfg(not(feature = "std"))]
#[inline(always)]
pub fn FastLog2f64(v: u64) -> floatX {
FastLog2(v) as floatX
}
#[inline]
pub fn FastLog2u64(v: u64) -> floatX {
let bsr_8 = 56i8 - v.leading_zeros() as i8;
let offset = bsr_8 & -((bsr_8 >= 0) as i8);
offset as floatX + kLog2Table[(v >> offset) as u8 as usize] as (floatX)
}
#[inline(always)]
pub fn FastLog2u32(v: i32) -> floatX {
let bsr_8 = 24i8 - v.leading_zeros() as i8;
let offset = bsr_8 & -((bsr_8 >= 0) as i8);
offset as floatX + kLog2Table[(v >> offset) as u8 as usize] as (floatX)
}
#[inline(always)]
pub fn xFastLog2u16(v: u16) -> floatX {
let bsr_8 = 8i8 - v.leading_zeros() as i8;
let offset = (bsr_8 & -((bsr_8 >= 0) as i8));
offset as floatX + kLog2Table[(v >> offset) as u8 as usize] as (floatX)
}
#[cfg(feature = "std")]
#[inline(always)]
pub fn FastPow2(v: super::util::floatX) -> super::util::floatX {
(2 as super::util::floatX).powf(v)
}
#[cfg(not(feature = "std"))]
#[inline(always)]
pub fn FastPow2(v: super::util::floatX) -> super::util::floatX {
assert!(v >= 0 as super::util::floatX);
let round_down = v as i32;
let remainder = v - round_down as super::util::floatX;
let mut x = 1 as super::util::floatX;
x += remainder * (0.693147180559945309417232121458 / 256.0) as super::util::floatX;
x *= x;
x *= x;
x *= x;
x *= x;
x *= x;
x *= x;
x *= x;
x *= x;
return (1 << round_down) as super::util::floatX * x;
}
#[inline(always)]
pub fn Log2FloorNonZero(v: u64) -> u32 {
(63u32 ^ v.leading_zeros())
}
mod test {
fn baseline_log2_floor_non_zero(mut n: u64) -> u32 {
let mut result: u32 = 0u32;
while {
n >>= 1i32;
n
} != 0
{
result = result.wrapping_add(1);
}
result
}
#[test]
fn log2floor_non_zero_works() {
let examples = [
4u64,
254,
256,
1428,
25412509,
21350891256,
65536,
1258912591,
60968101,
1,
12589125190825,
105912059215091,
0,
];
for example in examples.iter() {
let fast_version = super::Log2FloorNonZero(*example);
let baseline_version = baseline_log2_floor_non_zero(*example);
if *example != 0 {
assert_eq!(fast_version, baseline_version);
}
}
}
pub fn approx_eq(a: f64, b: f64, tol: f64) {
let mut t0 = a - b;
let mut t1 = b - a;
if t0 < 0.0 {
t0 = -t0;
}
if t1 < 0.0 {
t1 = -t1;
}
if (!(t1 < tol)) {
assert_eq!(a, b);
}
if (!(t0 < tol)) {
assert_eq!(a, b);
}
}
#[test]
fn fast_log2_works() {
let examples = [
4u64,
254,
256,
1428,
25412509,
21350891256,
65536,
1258912591,
60968101,
1,
12589125190825,
105912059215091,
0,
];
let tol = [
0.00001, 0.0001, 0.0001, 0.005, 0.007, 0.008, 0.01, 0.01, 0.01, 0.000001, 0.01, 0.01,
0.0001,
];
for (index, example) in examples.iter().enumerate() {
let fast_version = super::FastLog2(*example);
if *example != 0 {
let baseline_version = (*example as f64).log2();
approx_eq(fast_version as f64, baseline_version, tol[index]);
} else {
}
}
}
}
static log64k: [floatX; 65536] = [
0.0,
0.0,
1.0,
1.58496250072,
2.0,
2.32192809489,
2.58496250072,
2.80735492206,
3.0,
3.16992500144,
3.32192809489,
3.45943161864,
3.58496250072,
3.70043971814,
3.80735492206,
3.90689059561,
4.0,
4.08746284125,
4.16992500144,
4.24792751344,
4.32192809489,
4.39231742278,
4.45943161864,
4.52356195606,
4.58496250072,
4.64385618977,
4.70043971814,
4.75488750216,
4.80735492206,
4.85798099513,
4.90689059561,
4.95419631039,
5.0,
5.04439411936,
5.08746284125,
5.12928301694,
5.16992500144,
5.20945336563,
5.24792751344,
5.28540221886,
5.32192809489,
5.35755200462,
5.39231742278,
5.4262647547,
5.45943161864,
5.49185309633,
5.52356195606,
5.55458885168,
5.58496250072,
5.61470984412,
5.64385618977,
5.67242534197,
5.70043971814,
5.72792045456,
5.75488750216,
5.78135971352,
5.80735492206,
5.83289001416,
5.85798099513,
5.88264304936,
5.90689059561,
5.93073733756,
5.95419631039,
5.9772799235,
6.0,
6.02236781303,
6.04439411936,
6.06608919046,
6.08746284125,
6.10852445678,
6.12928301694,
6.1497471195,
6.16992500144,
6.18982455888,
6.20945336563,
6.2288186905,
6.24792751344,
6.26678654069,
6.28540221886,
6.30378074818,
6.32192809489,
6.33985000288,
6.35755200462,
6.37503943135,
6.39231742278,
6.40939093614,
6.4262647547,
6.44294349585,
6.45943161864,
6.47573343097,
6.49185309633,
6.5077946402,
6.52356195606,
6.53915881111,
6.55458885168,
6.56985560833,
6.58496250072,
6.59991284219,
6.61470984412,
6.62935662008,
6.64385618977,
6.65821148275,
6.67242534197,
6.68650052718,
6.70043971814,
6.71424551767,
6.72792045456,
6.7414669864,
6.75488750216,
6.76818432478,
6.78135971352,
6.79441586635,
6.80735492206,
6.82017896242,
6.83289001416,
6.84549005094,
6.85798099513,
6.87036471958,
6.88264304936,
6.89481776331,
6.90689059561,
6.91886323727,
6.93073733756,
6.94251450534,
6.95419631039,
6.96578428466,
6.9772799235,
6.98868468677,
7.0,
7.01122725542,
7.02236781303,
7.03342300154,
7.04439411936,
7.0552824355,
7.06608919046,
7.07681559705,
7.08746284125,
7.09803208296,
7.10852445678,
7.11894107272,
7.12928301694,
7.1395513524,
7.1497471195,
7.15987133678,
7.16992500144,
7.17990909001,
7.18982455888,
7.19967234484,
7.20945336563,
7.21916852046,
7.2288186905,
7.23840473933,
7.24792751344,
7.25738784269,
7.26678654069,
7.27612440527,
7.28540221886,
7.29462074889,
7.30378074818,
7.31288295528,
7.32192809489,
7.33091687811,
7.33985000288,
7.34872815423,
7.35755200462,
7.36632221425,
7.37503943135,
7.38370429247,
7.39231742278,
7.40087943628,
7.40939093614,
7.41785251489,
7.4262647547,
7.43462822764,
7.44294349585,
7.45121111183,
7.45943161864,
7.46760555008,
7.47573343097,
7.48381577726,
7.49185309633,
7.49984588708,
7.5077946402,
7.51569983828,
7.52356195606,
7.53138146052,
7.53915881111,
7.54689445989,
7.55458885168,
7.56224242422,
7.56985560833,
7.57742882804,
7.58496250072,
7.59245703727,
7.59991284219,
7.60733031375,
7.61470984412,
7.62205181946,
7.62935662008,
7.63662462054,
7.64385618977,
7.65105169118,
7.65821148275,
7.66533591719,
7.67242534197,
7.67948009951,
7.68650052718,
7.6934869575,
7.70043971814,
7.70735913208,
7.71424551767,
7.72109918871,
7.72792045456,
7.73470962023,
7.7414669864,
7.74819284959,
7.75488750216,
7.76155123244,
7.76818432478,
7.7747870596,
7.78135971352,
7.78790255939,
7.79441586635,
7.80089989992,
7.80735492206,
7.81378119122,
7.82017896242,
7.82654848729,
7.83289001416,
7.8392037881,
7.84549005094,
7.85174904142,
7.85798099513,
7.86418614465,
7.87036471958,
7.87651694657,
7.88264304936,
7.8887432489,
7.89481776331,
7.90086680798,
7.90689059561,
7.91288933623,
7.91886323727,
7.92481250361,
7.93073733756,
7.936637939,
7.94251450534,
7.94836723158,
7.95419631039,
7.96000193207,
7.96578428466,
7.97154355395,
7.9772799235,
7.98299357469,
7.98868468677,
7.99435343686,
8.0,
8.00562454919,
8.01122725542,
8.01680828769,
8.02236781303,
8.02790599657,
8.03342300154,
8.03891898929,
8.04439411936,
8.04984854945,
8.0552824355,
8.06069593169,
8.06608919046,
8.07146236256,
8.07681559705,
8.08214904135,
8.08746284125,
8.09275714092,
8.09803208296,
8.10328780841,
8.10852445678,
8.11374216605,
8.11894107272,
8.12412131183,
8.12928301694,
8.13442632022,
8.1395513524,
8.14465824283,
8.1497471195,
8.15481810905,
8.15987133678,
8.16490692668,
8.16992500144,
8.1749256825,
8.17990909001,
8.18487534291,
8.18982455888,
8.19475685442,
8.19967234484,
8.20457114425,
8.20945336563,
8.2143191208,
8.21916852046,
8.2240016742,
8.2288186905,
8.23361967676,
8.23840473933,
8.24317398347,
8.24792751344,
8.25266543245,
8.25738784269,
8.26209484537,
8.26678654069,
8.2714630279,
8.27612440527,
8.28077077013,
8.28540221886,
8.29001884693,
8.29462074889,
8.29920801839,
8.30378074818,
8.30833903014,
8.31288295528,
8.31741261376,
8.32192809489,
8.32642948712,
8.33091687811,
8.33539035469,
8.33985000288,
8.34429590792,
8.34872815423,
8.3531468255,
8.35755200462,
8.36194377374,
8.36632221425,
8.37068740681,
8.37503943135,
8.37937836707,
8.38370429247,
8.38801728535,
8.39231742278,
8.39660478118,
8.40087943628,
8.40514146314,
8.40939093614,
8.41362792902,
8.41785251489,
8.42206476617,
8.4262647547,
8.43045255167,
8.43462822764,
8.43879185258,
8.44294349585,
8.44708322621,
8.45121111183,
8.4553272203,
8.45943161864,
8.46352437327,
8.46760555008,
8.47167521439,
8.47573343097,
8.47978026403,
8.48381577726,
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