clean up prover code

This commit is contained in:
Dmitry Vagner 2022-12-21 14:55:07 -08:00
parent d5cec0e68f
commit 7af11f4340
2 changed files with 3 additions and 375 deletions

View File

@ -254,7 +254,7 @@ fn inv_fp6(c: Fp6) -> Fp6 {
[mul_fp2(d, f0), mul_fp2(d, f1), mul_fp2(d, f2)]
}
fn inv_fp12(f: Fp12) -> Fp12 {
pub fn inv_fp12(f: Fp12) -> Fp12 {
let [f0, f1] = f;
let a = mul_fp12(frob_fp12(1, f), frob_fp12(7, f))[0];
let b = mul_fp6(a, frob_fp6(2, a));

View File

@ -1,5 +1,7 @@
use std::str::FromStr;
use crate::bn254::inv_fp12;
use ethereum_types::{BigEndianHash, H256, U256};
use plonky2::field::types::Field;
@ -324,377 +326,3 @@ fn modexp(x: U256, e: U256, n: U256) -> U256 {
}
product
}
type Fp = U256;
type Fp2 = [U256; 2];
type Fp6 = [Fp2; 3];
type Fp12 = [Fp6; 2];
const ZERO: Fp = U256([0, 0, 0, 0]);
const BN_BASE: U256 = U256([
4332616871279656263,
10917124144477883021,
13281191951274694749,
3486998266802970665,
]);
fn embed_fp2(x: Fp) -> Fp2 {
[x, ZERO]
}
fn embed_fp2_fp6(a: Fp2) -> Fp6 {
[a, embed_fp2(ZERO), embed_fp2(ZERO)]
}
fn embed_fp6(x: Fp) -> Fp6 {
embed_fp2_fp6(embed_fp2(x))
}
fn embed_fp12(x: Fp) -> Fp12 {
[embed_fp6(x), embed_fp6(ZERO)]
}
fn add_fp(x: Fp, y: Fp) -> Fp {
(x + y) % BN_BASE
}
fn add3_fp(x: Fp, y: Fp, z: Fp) -> Fp {
(x + y + z) % BN_BASE
}
fn mul_fp(x: Fp, y: Fp) -> Fp {
U256::try_from(x.full_mul(y) % BN_BASE).unwrap()
}
fn sub_fp(x: Fp, y: Fp) -> Fp {
(BN_BASE + x - y) % BN_BASE
}
fn neg_fp(x: Fp) -> Fp {
(BN_BASE - x) % BN_BASE
}
fn conj_fp2(a: Fp2) -> Fp2 {
let [a, a_] = a;
[a, neg_fp(a_)]
}
fn add_fp2(a: Fp2, b: Fp2) -> Fp2 {
let [a, a_] = a;
let [b, b_] = b;
[add_fp(a, b), add_fp(a_, b_)]
}
fn add3_fp2(a: Fp2, b: Fp2, c: Fp2) -> Fp2 {
let [a, a_] = a;
let [b, b_] = b;
let [c, c_] = c;
[add3_fp(a, b, c), add3_fp(a_, b_, c_)]
}
fn sub_fp2(a: Fp2, b: Fp2) -> Fp2 {
let [a, a_] = a;
let [b, b_] = b;
[sub_fp(a, b), sub_fp(a_, b_)]
}
fn neg_fp2(a: Fp2) -> Fp2 {
sub_fp2(embed_fp2(ZERO), a)
}
fn mul_fp2(a: Fp2, b: Fp2) -> Fp2 {
let [a, a_] = a;
let [b, b_] = b;
[
sub_fp(mul_fp(a, b), mul_fp(a_, b_)),
add_fp(mul_fp(a, b_), mul_fp(a_, b)),
]
}
fn i9(a: Fp2) -> Fp2 {
let [a, a_] = a;
let nine = U256::from(9);
[sub_fp(mul_fp(nine, a), a_), add_fp(a, mul_fp(nine, a_))]
}
fn add_fp6(c: Fp6, d: Fp6) -> Fp6 {
let [c0, c1, c2] = c;
let [d0, d1, d2] = d;
let e0 = add_fp2(c0, d0);
let e1 = add_fp2(c1, d1);
let e2 = add_fp2(c2, d2);
[e0, e1, e2]
}
fn sub_fp6(c: Fp6, d: Fp6) -> Fp6 {
let [c0, c1, c2] = c;
let [d0, d1, d2] = d;
let e0 = sub_fp2(c0, d0);
let e1 = sub_fp2(c1, d1);
let e2 = sub_fp2(c2, d2);
[e0, e1, e2]
}
fn neg_fp6(a: Fp6) -> Fp6 {
sub_fp6(embed_fp6(ZERO), a)
}
fn mul_fp6(c: Fp6, d: Fp6) -> Fp6 {
let [c0, c1, c2] = c;
let [d0, d1, d2] = d;
let c0d0 = mul_fp2(c0, d0);
let c0d1 = mul_fp2(c0, d1);
let c0d2 = mul_fp2(c0, d2);
let c1d0 = mul_fp2(c1, d0);
let c1d1 = mul_fp2(c1, d1);
let c1d2 = mul_fp2(c1, d2);
let c2d0 = mul_fp2(c2, d0);
let c2d1 = mul_fp2(c2, d1);
let c2d2 = mul_fp2(c2, d2);
let cd12 = add_fp2(c1d2, c2d1);
[
add_fp2(c0d0, i9(cd12)),
add3_fp2(c0d1, c1d0, i9(c2d2)),
add3_fp2(c0d2, c1d1, c2d0),
]
}
fn sh(c: Fp6) -> Fp6 {
let [c0, c1, c2] = c;
[i9(c2), c0, c1]
}
fn sparse_embed(x: [U256; 5]) -> Fp12 {
let [g0, g1, g1_, g2, g2_] = x;
[
[embed_fp2(g0), [g1, g1_], embed_fp2(ZERO)],
[embed_fp2(ZERO), [g2, g2_], embed_fp2(ZERO)],
]
}
fn mul_fp12(f: Fp12, g: Fp12) -> Fp12 {
let [f0, f1] = f;
let [g0, g1] = g;
let h0 = mul_fp6(f0, g0);
let h1 = mul_fp6(f1, g1);
let h01 = mul_fp6(add_fp6(f0, f1), add_fp6(g0, g1));
[add_fp6(h0, sh(h1)), sub_fp6(h01, add_fp6(h0, h1))]
}
fn frob_t1(n: usize) -> Fp2 {
match n {
0 => [
U256::from_str("0x1").unwrap(),
U256::from_str("0x0").unwrap(),
],
1 => [
U256::from_str("0x2fb347984f7911f74c0bec3cf559b143b78cc310c2c3330c99e39557176f553d")
.unwrap(),
U256::from_str("0x16c9e55061ebae204ba4cc8bd75a079432ae2a1d0b7c9dce1665d51c640fcba2")
.unwrap(),
],
2 => [
U256::from_str("0x30644e72e131a0295e6dd9e7e0acccb0c28f069fbb966e3de4bd44e5607cfd48")
.unwrap(),
U256::from_str("0x0").unwrap(),
],
3 => [
U256::from_str("0x856e078b755ef0abaff1c77959f25ac805ffd3d5d6942d37b746ee87bdcfb6d")
.unwrap(),
U256::from_str("0x4f1de41b3d1766fa9f30e6dec26094f0fdf31bf98ff2631380cab2baaa586de")
.unwrap(),
],
4 => [
U256::from_str("0x59e26bcea0d48bacd4f263f1acdb5c4f5763473177fffffe").unwrap(),
U256::from_str("0x0").unwrap(),
],
5 => [
U256::from_str("0x28be74d4bb943f51699582b87809d9caf71614d4b0b71f3a62e913ee1dada9e4")
.unwrap(),
U256::from_str("0x14a88ae0cb747b99c2b86abcbe01477a54f40eb4c3f6068dedae0bcec9c7aac7")
.unwrap(),
],
_ => panic!(),
}
}
fn frob_t2(n: usize) -> Fp2 {
match n {
0 => [
U256::from_str("0x1").unwrap(),
U256::from_str("0x0").unwrap(),
],
1 => [
U256::from_str("0x5b54f5e64eea80180f3c0b75a181e84d33365f7be94ec72848a1f55921ea762")
.unwrap(),
U256::from_str("0x2c145edbe7fd8aee9f3a80b03b0b1c923685d2ea1bdec763c13b4711cd2b8126")
.unwrap(),
],
2 => [
U256::from_str("0x59e26bcea0d48bacd4f263f1acdb5c4f5763473177fffffe").unwrap(),
U256::from_str("0x0").unwrap(),
],
3 => [
U256::from_str("0xbc58c6611c08dab19bee0f7b5b2444ee633094575b06bcb0e1a92bc3ccbf066")
.unwrap(),
U256::from_str("0x23d5e999e1910a12feb0f6ef0cd21d04a44a9e08737f96e55fe3ed9d730c239f")
.unwrap(),
],
4 => [
U256::from_str("0x30644e72e131a0295e6dd9e7e0acccb0c28f069fbb966e3de4bd44e5607cfd48")
.unwrap(),
U256::from_str("0x0").unwrap(),
],
5 => [
U256::from_str("0x1ee972ae6a826a7d1d9da40771b6f589de1afb54342c724fa97bda050992657f")
.unwrap(),
U256::from_str("0x10de546ff8d4ab51d2b513cdbb25772454326430418536d15721e37e70c255c9")
.unwrap(),
],
_ => panic!(),
}
}
fn frob_z(n: usize) -> Fp2 {
match n {
0 => [
U256::from_str("0x1").unwrap(),
U256::from_str("0x0").unwrap(),
],
1 => [
U256::from_str("0x1284b71c2865a7dfe8b99fdd76e68b605c521e08292f2176d60b35dadcc9e470")
.unwrap(),
U256::from_str("0x246996f3b4fae7e6a6327cfe12150b8e747992778eeec7e5ca5cf05f80f362ac")
.unwrap(),
],
2 => [
U256::from_str("0x30644e72e131a0295e6dd9e7e0acccb0c28f069fbb966e3de4bd44e5607cfd49")
.unwrap(),
U256::from_str("0x0").unwrap(),
],
3 => [
U256::from_str("0x19dc81cfcc82e4bbefe9608cd0acaa90894cb38dbe55d24ae86f7d391ed4a67f")
.unwrap(),
U256::from_str("0xabf8b60be77d7306cbeee33576139d7f03a5e397d439ec7694aa2bf4c0c101")
.unwrap(),
],
4 => [
U256::from_str("0x30644e72e131a0295e6dd9e7e0acccb0c28f069fbb966e3de4bd44e5607cfd48")
.unwrap(),
U256::from_str("0x0").unwrap(),
],
5 => [
U256::from_str("0x757cab3a41d3cdc072fc0af59c61f302cfa95859526b0d41264475e420ac20f")
.unwrap(),
U256::from_str("0xca6b035381e35b618e9b79ba4e2606ca20b7dfd71573c93e85845e34c4a5b9c")
.unwrap(),
],
6 => [
U256::from_str("0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd46")
.unwrap(),
U256::from_str("0x0").unwrap(),
],
7 => [
U256::from_str("0x1ddf9756b8cbf849cf96a5d90a9accfd3b2f4c893f42a9166615563bfbb318d7")
.unwrap(),
U256::from_str("0xbfab77f2c36b843121dc8b86f6c4ccf2307d819d98302a771c39bb757899a9b")
.unwrap(),
],
8 => [
U256::from_str("0x59e26bcea0d48bacd4f263f1acdb5c4f5763473177fffffe").unwrap(),
U256::from_str("0x0").unwrap(),
],
9 => [
U256::from_str("0x1687cca314aebb6dc866e529b0d4adcd0e34b703aa1bf84253b10eddb9a856c8")
.unwrap(),
U256::from_str("0x2fb855bcd54a22b6b18456d34c0b44c0187dc4add09d90a0c58be1eae3bc3c46")
.unwrap(),
],
10 => [
U256::from_str("0x59e26bcea0d48bacd4f263f1acdb5c4f5763473177ffffff").unwrap(),
U256::from_str("0x0").unwrap(),
],
11 => [
U256::from_str("0x290c83bf3d14634db120850727bb392d6a86d50bd34b19b929bc44b896723b38")
.unwrap(),
U256::from_str("0x23bd9e3da9136a739f668e1adc9ef7f0f575ec93f71a8df953c846338c32a1ab")
.unwrap(),
],
_ => panic!(),
}
}
fn frob_fp6(n: usize, c: Fp6) -> Fp6 {
let [c0, c1, c2] = c;
let _c0 = conj_fp2(c0);
let _c1 = conj_fp2(c1);
let _c2 = conj_fp2(c2);
let n = n % 6;
let frob_t1 = frob_t1(n);
let frob_t2 = frob_t2(n);
if n % 2 != 0 {
[_c0, mul_fp2(frob_t1, _c1), mul_fp2(frob_t2, _c2)]
} else {
[c0, mul_fp2(frob_t1, c1), mul_fp2(frob_t2, c2)]
}
}
fn frob_fp12(n: usize, f: Fp12) -> Fp12 {
let [f0, f1] = f;
let scale = embed_fp2_fp6(frob_z(n));
[frob_fp6(n, f0), mul_fp6(scale, frob_fp6(n, f1))]
}
fn exp_fp(x: Fp, e: U256) -> Fp {
let mut current = x;
let mut product = U256::one();
for j in 0..256 {
if e.bit(j) {
product = U256::try_from(product.full_mul(current) % BN_BASE).unwrap();
}
current = U256::try_from(current.full_mul(current) % BN_BASE).unwrap();
}
product
}
fn inv_fp(x: Fp) -> Fp {
exp_fp(x, BN_BASE - 2)
}
fn inv_fp2(a: Fp2) -> Fp2 {
let [a0, a1] = a;
let norm = inv_fp(mul_fp(a0, a0) + mul_fp(a1, a1));
[mul_fp(norm, a0), neg_fp(mul_fp(norm, a1))]
}
fn inv_fp6(c: Fp6) -> Fp6 {
let b = mul_fp6(frob_fp6(1, c), frob_fp6(3, c));
let e = mul_fp6(b, frob_fp6(5, c))[0];
let n = mul_fp2(e, conj_fp2(e))[0];
let i = inv_fp(n);
let d = mul_fp2(embed_fp2(i), e);
let [f0, f1, f2] = frob_fp6(1, b);
[mul_fp2(d, f0), mul_fp2(d, f1), mul_fp2(d, f2)]
}
fn inv_fp12(f: Fp12) -> Fp12 {
let a = mul_fp12(frob_fp12(1, f), frob_fp12(7, f))[0];
let b = mul_fp6(a, frob_fp6(2, a));
let c = mul_fp6(b, frob_fp6(4, a))[0];
let n = mul_fp2(c, conj_fp2(c))[0];
let i = inv_fp(n);
let d = mul_fp2(embed_fp2(i), c);
let [g0, g1, g2] = frob_fp6(1, b);
let e = [mul_fp2(d, g0), mul_fp2(d, g1), mul_fp2(d, g2)];
[mul_fp6(e, f[0]), neg_fp6(mul_fp6(e, f[1]))]
}