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feat: fast const pow #336

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merged 5 commits into from
Oct 15, 2024
Merged

feat: fast const pow #336

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93a2d75
feat: pow2 and pow10 using lookup table
Th0rgal Oct 14, 2024
d42bfca
feat: use lookup table for keccak pow2
Th0rgal Oct 14, 2024
e56a14e
feat: use lookup tables for storage_proof pow2
Th0rgal Oct 15, 2024
c1fc373
feat: faster storage_proofs via pow2_felt252
Th0rgal Oct 15, 2024
b999833
feat: multiple optimizations via const pow
Th0rgal Oct 15, 2024
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270 changes: 4 additions & 266 deletions packages/bytes/src/utils.cairo
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Original file line number Diff line number Diff line change
@@ -1,4 +1,5 @@
use alexandria_bytes::{Bytes, BytesTrait};
use alexandria_math::const_pow::pow2;
use alexandria_data_structures::array_ext::ArrayTraitExt;
use core::fmt::{Debug, Display, Formatter, Error};
use core::integer::u128_byte_reverse;
Expand Down Expand Up @@ -94,7 +95,7 @@ fn keccak_add_uint128_be(ref keccak_input: Array::<u64>, value: u128, value_size
keccak_input.append(reversed_value.try_into().unwrap());
} else {
let (high, low) = DivRem::div_rem(
reversed_value, u128_fast_pow2(64).try_into().expect('Division by 0')
reversed_value, pow2(64).try_into().expect('Division by 0')
);
keccak_input.append(low.try_into().unwrap());
keccak_input.append(high.try_into().unwrap());
Expand Down Expand Up @@ -209,7 +210,7 @@ pub fn u128_split(value: u128, value_size: usize, left_size: usize) -> (u128, u1
if left_size == 0 {
(0, value)
} else {
let power = u128_fast_pow2((value_size - left_size) * 8);
let power = pow2((value_size - left_size) * 8);
DivRem::div_rem(value, power.try_into().expect('Division by 0'))
}
}
Expand Down Expand Up @@ -253,7 +254,7 @@ pub fn read_sub_u128(value: u128, value_size: usize, offset: usize, size: usize)
pub fn u128_join(left: u128, right: u128, right_size: usize) -> u128 {
let left_size = u128_bytes_len(left);
assert(left_size + right_size <= 16, 'left shift overflow');
let shift = u128_fast_pow2(right_size * 8);
let shift = pow2(right_size * 8);
left * shift + right
}

Expand Down Expand Up @@ -295,266 +296,3 @@ fn u128_bytes_len(value: u128) -> usize {
16_usize
}
}

/// return 2^exp where exp in [0, 127]
fn u128_fast_pow2(exp: usize) -> u128 {
assert(exp <= 127, 'invalid exp');

if exp == 0_usize {
1_u128
} else if exp == 1_usize {
2_u128
} else if exp == 2_usize {
4_u128
} else if exp == 3_usize {
8_u128
} else if exp == 4_usize {
16_u128
} else if exp == 5_usize {
32_u128
} else if exp == 6_usize {
64_u128
} else if exp == 7_usize {
128_u128
} else if exp == 8_usize {
256_u128
} else if exp == 9_usize {
512_u128
} else if exp == 10_usize {
1024_u128
} else if exp == 11_usize {
2048_u128
} else if exp == 12_usize {
4096_u128
} else if exp == 13_usize {
8192_u128
} else if exp == 14_usize {
16384_u128
} else if exp == 15_usize {
32768_u128
} else if exp == 16_usize {
65536_u128
} else if exp == 17_usize {
131072_u128
} else if exp == 18_usize {
262144_u128
} else if exp == 19_usize {
524288_u128
} else if exp == 20_usize {
1048576_u128
} else if exp == 21_usize {
2097152_u128
} else if exp == 22_usize {
4194304_u128
} else if exp == 23_usize {
8388608_u128
} else if exp == 24_usize {
16777216_u128
} else if exp == 25_usize {
33554432_u128
} else if exp == 26_usize {
67108864_u128
} else if exp == 27_usize {
134217728_u128
} else if exp == 28_usize {
268435456_u128
} else if exp == 29_usize {
536870912_u128
} else if exp == 30_usize {
1073741824_u128
} else if exp == 31_usize {
2147483648_u128
} else if exp == 32_usize {
4294967296_u128
} else if exp == 33_usize {
8589934592_u128
} else if exp == 34_usize {
17179869184_u128
} else if exp == 35_usize {
34359738368_u128
} else if exp == 36_usize {
68719476736_u128
} else if exp == 37_usize {
137438953472_u128
} else if exp == 38_usize {
274877906944_u128
} else if exp == 39_usize {
549755813888_u128
} else if exp == 40_usize {
1099511627776_u128
} else if exp == 41_usize {
2199023255552_u128
} else if exp == 42_usize {
4398046511104_u128
} else if exp == 43_usize {
8796093022208_u128
} else if exp == 44_usize {
17592186044416_u128
} else if exp == 45_usize {
35184372088832_u128
} else if exp == 46_usize {
70368744177664_u128
} else if exp == 47_usize {
140737488355328_u128
} else if exp == 48_usize {
281474976710656_u128
} else if exp == 49_usize {
562949953421312_u128
} else if exp == 50_usize {
1125899906842624_u128
} else if exp == 51_usize {
2251799813685248_u128
} else if exp == 52_usize {
4503599627370496_u128
} else if exp == 53_usize {
9007199254740992_u128
} else if exp == 54_usize {
18014398509481984_u128
} else if exp == 55_usize {
36028797018963968_u128
} else if exp == 56_usize {
72057594037927936_u128
} else if exp == 57_usize {
144115188075855872_u128
} else if exp == 58_usize {
288230376151711744_u128
} else if exp == 59_usize {
576460752303423488_u128
} else if exp == 60_usize {
1152921504606846976_u128
} else if exp == 61_usize {
2305843009213693952_u128
} else if exp == 62_usize {
4611686018427387904_u128
} else if exp == 63_usize {
9223372036854775808_u128
} else if exp == 64_usize {
18446744073709551616_u128
} else if exp == 65_usize {
36893488147419103232_u128
} else if exp == 66_usize {
73786976294838206464_u128
} else if exp == 67_usize {
147573952589676412928_u128
} else if exp == 68_usize {
295147905179352825856_u128
} else if exp == 69_usize {
590295810358705651712_u128
} else if exp == 70_usize {
1180591620717411303424_u128
} else if exp == 71_usize {
2361183241434822606848_u128
} else if exp == 72_usize {
4722366482869645213696_u128
} else if exp == 73_usize {
9444732965739290427392_u128
} else if exp == 74_usize {
18889465931478580854784_u128
} else if exp == 75_usize {
37778931862957161709568_u128
} else if exp == 76_usize {
75557863725914323419136_u128
} else if exp == 77_usize {
151115727451828646838272_u128
} else if exp == 78_usize {
302231454903657293676544_u128
} else if exp == 79_usize {
604462909807314587353088_u128
} else if exp == 80_usize {
1208925819614629174706176_u128
} else if exp == 81_usize {
2417851639229258349412352_u128
} else if exp == 82_usize {
4835703278458516698824704_u128
} else if exp == 83_usize {
9671406556917033397649408_u128
} else if exp == 84_usize {
19342813113834066795298816_u128
} else if exp == 85_usize {
38685626227668133590597632_u128
} else if exp == 86_usize {
77371252455336267181195264_u128
} else if exp == 87_usize {
154742504910672534362390528_u128
} else if exp == 88_usize {
309485009821345068724781056_u128
} else if exp == 89_usize {
618970019642690137449562112_u128
} else if exp == 90_usize {
1237940039285380274899124224_u128
} else if exp == 91_usize {
2475880078570760549798248448_u128
} else if exp == 92_usize {
4951760157141521099596496896_u128
} else if exp == 93_usize {
9903520314283042199192993792_u128
} else if exp == 94_usize {
19807040628566084398385987584_u128
} else if exp == 95_usize {
39614081257132168796771975168_u128
} else if exp == 96_usize {
79228162514264337593543950336_u128
} else if exp == 97_usize {
158456325028528675187087900672_u128
} else if exp == 98_usize {
316912650057057350374175801344_u128
} else if exp == 99_usize {
633825300114114700748351602688_u128
} else if exp == 100_usize {
1267650600228229401496703205376_u128
} else if exp == 101_usize {
2535301200456458802993406410752_u128
} else if exp == 102_usize {
5070602400912917605986812821504_u128
} else if exp == 103_usize {
10141204801825835211973625643008_u128
} else if exp == 104_usize {
20282409603651670423947251286016_u128
} else if exp == 105_usize {
40564819207303340847894502572032_u128
} else if exp == 106_usize {
81129638414606681695789005144064_u128
} else if exp == 107_usize {
162259276829213363391578010288128_u128
} else if exp == 108_usize {
324518553658426726783156020576256_u128
} else if exp == 109_usize {
649037107316853453566312041152512_u128
} else if exp == 110_usize {
1298074214633706907132624082305024_u128
} else if exp == 111_usize {
2596148429267413814265248164610048_u128
} else if exp == 112_usize {
5192296858534827628530496329220096_u128
} else if exp == 113_usize {
10384593717069655257060992658440192_u128
} else if exp == 114_usize {
20769187434139310514121985316880384_u128
} else if exp == 115_usize {
41538374868278621028243970633760768_u128
} else if exp == 116_usize {
83076749736557242056487941267521536_u128
} else if exp == 117_usize {
166153499473114484112975882535043072_u128
} else if exp == 118_usize {
332306998946228968225951765070086144_u128
} else if exp == 119_usize {
664613997892457936451903530140172288_u128
} else if exp == 120_usize {
1329227995784915872903807060280344576_u128
} else if exp == 121_usize {
2658455991569831745807614120560689152_u128
} else if exp == 122_usize {
5316911983139663491615228241121378304_u128
} else if exp == 123_usize {
10633823966279326983230456482242756608_u128
} else if exp == 124_usize {
21267647932558653966460912964485513216_u128
} else if exp == 125_usize {
42535295865117307932921825928971026432_u128
} else if exp == 126_usize {
85070591730234615865843651857942052864_u128
} else {
170141183460469231731687303715884105728_u128
}
}
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