Skip to content
New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

feat: fast const pow #336

Merged
merged 5 commits into from
Oct 15, 2024
Merged

feat: fast const pow #336

Show file tree
Hide file tree
Changes from all commits
Commits
Show all changes
5 commits
Select commit Hold shift + click to select a range
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
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
3 changes: 3 additions & 0 deletions Scarb.lock
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -50,6 +50,9 @@ version = "0.2.1"
[[package]]
name = "alexandria_merkle_tree"
version = "0.1.0"
dependencies = [
"alexandria_math",
]

[[package]]
name = "alexandria_numeric"
Expand Down
270 changes: 4 additions & 266 deletions packages/bytes/src/utils.cairo
View file
Open in desktop
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
}
}
2 changes: 1 addition & 1 deletion packages/math/src/armstrong_number.cairo
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -15,7 +15,7 @@ pub fn is_armstrong_number(mut num: u128) -> bool {
}

let lastDigit = num % 10;
let sum = pow(lastDigit, digits);
let sum = pow(lastDigit, digits.into());
num = num / 10;
if sum > original_num {
break false;
Expand Down
Loading
Loading