halo2/halo2_gadgets/src/sha256/table16/message_schedule/subregion2.rs

488 lines
16 KiB
Rust

use super::super::{util::*, AssignedBits, Bits, SpreadVar, SpreadWord, Table16Assignment};
use super::{schedule_util::*, MessageScheduleConfig, MessageWord};
use halo2_proofs::{
circuit::{Region, Value},
pasta::pallas,
plonk::Error,
};
use std::convert::TryInto;
/// A word in subregion 2
/// (3, 4, 3, 7, 1, 1, 13)-bit chunks
#[derive(Clone, Debug)]
pub struct Subregion2Word {
index: usize,
a: AssignedBits<3>,
b: AssignedBits<4>,
c: AssignedBits<3>,
_d: AssignedBits<7>,
e: AssignedBits<1>,
f: AssignedBits<1>,
_g: AssignedBits<13>,
spread_d: AssignedBits<14>,
spread_g: AssignedBits<26>,
}
impl Subregion2Word {
fn spread_a(&self) -> Value<[bool; 6]> {
self.a.value().map(|v| v.spread())
}
fn spread_b(&self) -> Value<[bool; 8]> {
self.b.value().map(|v| v.spread())
}
fn spread_c(&self) -> Value<[bool; 6]> {
self.c.value().map(|v| v.spread())
}
fn spread_d(&self) -> Value<[bool; 14]> {
self.spread_d.value().map(|v| v.0)
}
fn spread_e(&self) -> Value<[bool; 2]> {
self.e.value().map(|v| v.spread())
}
fn spread_f(&self) -> Value<[bool; 2]> {
self.f.value().map(|v| v.spread())
}
fn spread_g(&self) -> Value<[bool; 26]> {
self.spread_g.value().map(|v| v.0)
}
fn xor_sigma_0(&self) -> Value<[bool; 64]> {
self.spread_a()
.zip(self.spread_b())
.zip(self.spread_c())
.zip(self.spread_d())
.zip(self.spread_e())
.zip(self.spread_f())
.zip(self.spread_g())
.map(|((((((a, b), c), d), e), f), g)| {
let xor_0 = b
.iter()
.chain(c.iter())
.chain(d.iter())
.chain(e.iter())
.chain(f.iter())
.chain(g.iter())
.chain(std::iter::repeat(&false).take(6))
.copied()
.collect::<Vec<_>>();
let xor_1 = c
.iter()
.chain(d.iter())
.chain(e.iter())
.chain(f.iter())
.chain(g.iter())
.chain(a.iter())
.chain(b.iter())
.copied()
.collect::<Vec<_>>();
let xor_2 = f
.iter()
.chain(g.iter())
.chain(a.iter())
.chain(b.iter())
.chain(c.iter())
.chain(d.iter())
.chain(e.iter())
.copied()
.collect::<Vec<_>>();
let xor_0 = lebs2ip::<64>(&xor_0.try_into().unwrap());
let xor_1 = lebs2ip::<64>(&xor_1.try_into().unwrap());
let xor_2 = lebs2ip::<64>(&xor_2.try_into().unwrap());
i2lebsp(xor_0 + xor_1 + xor_2)
})
}
fn xor_sigma_1(&self) -> Value<[bool; 64]> {
self.spread_a()
.zip(self.spread_b())
.zip(self.spread_c())
.zip(self.spread_d())
.zip(self.spread_e())
.zip(self.spread_f())
.zip(self.spread_g())
.map(|((((((a, b), c), d), e), f), g)| {
let xor_0 = d
.iter()
.chain(e.iter())
.chain(f.iter())
.chain(g.iter())
.chain(std::iter::repeat(&false).take(20))
.copied()
.collect::<Vec<_>>();
let xor_1 = e
.iter()
.chain(f.iter())
.chain(g.iter())
.chain(a.iter())
.chain(b.iter())
.chain(c.iter())
.chain(d.iter())
.copied()
.collect::<Vec<_>>();
let xor_2 = g
.iter()
.chain(a.iter())
.chain(b.iter())
.chain(c.iter())
.chain(d.iter())
.chain(e.iter())
.chain(f.iter())
.copied()
.collect::<Vec<_>>();
let xor_0 = lebs2ip::<64>(&xor_0.try_into().unwrap());
let xor_1 = lebs2ip::<64>(&xor_1.try_into().unwrap());
let xor_2 = lebs2ip::<64>(&xor_2.try_into().unwrap());
i2lebsp(xor_0 + xor_1 + xor_2)
})
}
}
impl MessageScheduleConfig {
// W_[14..49]
pub fn assign_subregion2(
&self,
region: &mut Region<'_, pallas::Base>,
lower_sigma_0_output: Vec<(AssignedBits<16>, AssignedBits<16>)>,
w: &mut Vec<MessageWord>,
w_halves: &mut Vec<(AssignedBits<16>, AssignedBits<16>)>,
) -> Result<Vec<(AssignedBits<16>, AssignedBits<16>)>, Error> {
let a_5 = self.message_schedule;
let a_6 = self.extras[2];
let a_7 = self.extras[3];
let a_8 = self.extras[4];
let a_9 = self.extras[5];
let mut lower_sigma_0_v2_results =
Vec::<(AssignedBits<16>, AssignedBits<16>)>::with_capacity(SUBREGION_2_LEN);
let mut lower_sigma_1_v2_results =
Vec::<(AssignedBits<16>, AssignedBits<16>)>::with_capacity(SUBREGION_2_LEN);
// Closure to compose new word
// W_i = sigma_1(W_{i - 2}) + W_{i - 7} + sigma_0(W_{i - 15}) + W_{i - 16}
// e.g. W_16 = sigma_1(W_14) + W_9 + sigma_0(W_1) + W_0
// sigma_0(W_[1..14]) will be used to get the new W_[16..29]
// sigma_0_v2(W_[14..36]) will be used to get the new W_[29..51]
// sigma_1_v2(W_[14..49]) will be used to get the W_[16..51]
// The lowest-index words involved will be W_[0..13]
let mut new_word = |idx: usize,
sigma_0_output: &(AssignedBits<16>, AssignedBits<16>)|
-> Result<Vec<(AssignedBits<16>, AssignedBits<16>)>, Error> {
// Decompose word into (3, 4, 3, 7, 1, 1, 13)-bit chunks
let word = self.decompose_word(region, w[idx].value(), idx)?;
// sigma_0 v2 and sigma_1 v2 on word
lower_sigma_0_v2_results.push(self.lower_sigma_0_v2(region, word.clone())?);
lower_sigma_1_v2_results.push(self.lower_sigma_1_v2(region, word)?);
let new_word_idx = idx + 2;
// Copy sigma_0(W_{i - 15}) output from Subregion 1
sigma_0_output.0.copy_advice(
|| format!("sigma_0(W_{})_lo", new_word_idx - 15),
region,
a_6,
get_word_row(new_word_idx - 16),
)?;
sigma_0_output.1.copy_advice(
|| format!("sigma_0(W_{})_hi", new_word_idx - 15),
region,
a_6,
get_word_row(new_word_idx - 16) + 1,
)?;
// Copy sigma_1(W_{i - 2})
lower_sigma_1_v2_results[new_word_idx - 16].0.copy_advice(
|| format!("sigma_1(W_{})_lo", new_word_idx - 2),
region,
a_7,
get_word_row(new_word_idx - 16),
)?;
lower_sigma_1_v2_results[new_word_idx - 16].1.copy_advice(
|| format!("sigma_1(W_{})_hi", new_word_idx - 2),
region,
a_7,
get_word_row(new_word_idx - 16) + 1,
)?;
// Copy W_{i - 7}
w_halves[new_word_idx - 7].0.copy_advice(
|| format!("W_{}_lo", new_word_idx - 7),
region,
a_8,
get_word_row(new_word_idx - 16),
)?;
w_halves[new_word_idx - 7].1.copy_advice(
|| format!("W_{}_hi", new_word_idx - 7),
region,
a_8,
get_word_row(new_word_idx - 16) + 1,
)?;
// Calculate W_i, carry_i
let (word, carry) = sum_with_carry(vec![
(
lower_sigma_1_v2_results[new_word_idx - 16].0.value_u16(),
lower_sigma_1_v2_results[new_word_idx - 16].1.value_u16(),
),
(
w_halves[new_word_idx - 7].0.value_u16(),
w_halves[new_word_idx - 7].1.value_u16(),
),
(sigma_0_output.0.value_u16(), sigma_0_output.1.value_u16()),
(
w_halves[new_word_idx - 16].0.value_u16(),
w_halves[new_word_idx - 16].1.value_u16(),
),
]);
// Assign W_i, carry_i
region.assign_advice(
|| format!("W_{}", new_word_idx),
a_5,
get_word_row(new_word_idx - 16) + 1,
|| word.map(|word| pallas::Base::from(word as u64)),
)?;
region.assign_advice(
|| format!("carry_{}", new_word_idx),
a_9,
get_word_row(new_word_idx - 16) + 1,
|| carry.map(pallas::Base::from),
)?;
let (word, halves) = self.assign_word_and_halves(region, word, new_word_idx)?;
w.push(MessageWord(word));
w_halves.push(halves);
Ok(lower_sigma_0_v2_results.clone())
};
let mut tmp_lower_sigma_0_v2_results: Vec<(AssignedBits<16>, AssignedBits<16>)> =
Vec::with_capacity(SUBREGION_2_LEN);
// Use up all the output from Subregion 1 lower_sigma_0
for i in 14..27 {
tmp_lower_sigma_0_v2_results = new_word(i, &lower_sigma_0_output[i - 14])?;
}
for i in 27..49 {
tmp_lower_sigma_0_v2_results =
new_word(i, &tmp_lower_sigma_0_v2_results[i + 2 - 15 - 14])?;
}
// Return lower_sigma_0_v2 output for W_[36..49]
Ok(lower_sigma_0_v2_results.split_off(36 - 14))
}
/// Pieces of length [3, 4, 3, 7, 1, 1, 13]
fn decompose_word(
&self,
region: &mut Region<'_, pallas::Base>,
word: Value<&Bits<32>>,
index: usize,
) -> Result<Subregion2Word, Error> {
let row = get_word_row(index);
let pieces = word.map(|word| {
vec![
word[0..3].to_vec(),
word[3..7].to_vec(),
word[7..10].to_vec(),
word[10..17].to_vec(),
vec![word[17]],
vec![word[18]],
word[19..32].to_vec(),
]
});
let pieces = pieces.transpose_vec(7);
// Rename these here for ease of matching the gates to the specification.
let a_3 = self.extras[0];
let a_4 = self.extras[1];
// Assign `a` (3-bit piece)
let a = AssignedBits::<3>::assign_bits(region, || "a", a_3, row - 1, pieces[0].clone())?;
// Assign `b` (4-bit piece) lookup
let spread_b: Value<SpreadWord<4, 8>> = pieces[1].clone().map(SpreadWord::try_new);
let spread_b = SpreadVar::with_lookup(region, &self.lookup, row + 1, spread_b)?;
// Assign `c` (3-bit piece)
let c = AssignedBits::<3>::assign_bits(region, || "c", a_4, row - 1, pieces[2].clone())?;
// Assign `d` (7-bit piece) lookup
let spread_d: Value<SpreadWord<7, 14>> = pieces[3].clone().map(SpreadWord::try_new);
let spread_d = SpreadVar::with_lookup(region, &self.lookup, row, spread_d)?;
// Assign `e` (1-bit piece)
let e = AssignedBits::<1>::assign_bits(region, || "e", a_3, row + 1, pieces[4].clone())?;
// Assign `f` (1-bit piece)
let f = AssignedBits::<1>::assign_bits(region, || "f", a_4, row + 1, pieces[5].clone())?;
// Assign `g` (13-bit piece) lookup
let spread_g = pieces[6].clone().map(SpreadWord::try_new);
let spread_g = SpreadVar::with_lookup(region, &self.lookup, row - 1, spread_g)?;
Ok(Subregion2Word {
index,
a,
b: spread_b.dense,
c,
_d: spread_d.dense,
e,
f,
_g: spread_g.dense,
spread_d: spread_d.spread,
spread_g: spread_g.spread,
})
}
/// A word in subregion 2
/// (3, 4, 3, 7, 1, 1, 13)-bit chunks
#[allow(clippy::type_complexity)]
fn assign_lower_sigma_v2_pieces(
&self,
region: &mut Region<'_, pallas::Base>,
row: usize,
word: &Subregion2Word,
) -> Result<(), Error> {
let a_3 = self.extras[0];
let a_4 = self.extras[1];
let a_5 = self.message_schedule;
let a_6 = self.extras[2];
let a_7 = self.extras[3];
// Assign `a` and copy constraint
word.a.copy_advice(|| "a", region, a_3, row + 1)?;
// Witness `spread_a`
AssignedBits::<6>::assign_bits(region, || "spread_a", a_4, row + 1, word.spread_a())?;
// Split `b` (4-bit chunk) into `b_hi` and `b_lo`
// Assign `b_lo`, `spread_b_lo`
let b_lo: Value<[bool; 2]> = word.b.value().map(|b| b.0[..2].try_into().unwrap());
let spread_b_lo = b_lo.map(spread_bits);
{
AssignedBits::<2>::assign_bits(region, || "b_lo", a_3, row - 1, b_lo)?;
AssignedBits::<4>::assign_bits(region, || "spread_b_lo", a_4, row - 1, spread_b_lo)?;
};
// Split `b` (2-bit chunk) into `b_hi` and `b_lo`
// Assign `b_hi`, `spread_b_hi`
let b_hi: Value<[bool; 2]> = word.b.value().map(|b| b.0[2..].try_into().unwrap());
let spread_b_hi = b_hi.map(spread_bits);
{
AssignedBits::<2>::assign_bits(region, || "b_hi", a_5, row - 1, b_hi)?;
AssignedBits::<4>::assign_bits(region, || "spread_b_hi", a_6, row - 1, spread_b_hi)?;
};
// Assign `b` and copy constraint
word.b.copy_advice(|| "b", region, a_6, row)?;
// Assign `c` and copy constraint
word.c.copy_advice(|| "c", region, a_5, row + 1)?;
// Witness `spread_c`
AssignedBits::<6>::assign_bits(region, || "spread_c", a_6, row + 1, word.spread_c())?;
// Assign `spread_d` and copy constraint
word.spread_d.copy_advice(|| "spread_d", region, a_4, row)?;
// Assign `e` and copy constraint
word.e.copy_advice(|| "e", region, a_7, row)?;
// Assign `f` and copy constraint
word.f.copy_advice(|| "f", region, a_7, row + 1)?;
// Assign `spread_g` and copy constraint
word.spread_g.copy_advice(|| "spread_g", region, a_5, row)?;
Ok(())
}
fn lower_sigma_0_v2(
&self,
region: &mut Region<'_, pallas::Base>,
word: Subregion2Word,
) -> Result<(AssignedBits<16>, AssignedBits<16>), Error> {
let a_3 = self.extras[0];
let row = get_word_row(word.index) + 3;
// Assign lower sigma_v2 pieces
self.assign_lower_sigma_v2_pieces(region, row, &word)?;
// Calculate R_0^{even}, R_0^{odd}, R_1^{even}, R_1^{odd}
let r = word.xor_sigma_0();
let r_0: Value<[bool; 32]> = r.map(|r| r[..32].try_into().unwrap());
let r_0_even = r_0.map(even_bits);
let r_0_odd = r_0.map(odd_bits);
let r_1: Value<[bool; 32]> = r.map(|r| r[32..].try_into().unwrap());
let r_1_even = r_1.map(even_bits);
let r_1_odd = r_1.map(odd_bits);
self.assign_sigma_outputs(
region,
&self.lookup,
a_3,
row,
r_0_even,
r_0_odd,
r_1_even,
r_1_odd,
)
}
fn lower_sigma_1_v2(
&self,
region: &mut Region<'_, pallas::Base>,
word: Subregion2Word,
) -> Result<(AssignedBits<16>, AssignedBits<16>), Error> {
let a_3 = self.extras[0];
let row = get_word_row(word.index) + SIGMA_0_V2_ROWS + 3;
// Assign lower sigma_v2 pieces
self.assign_lower_sigma_v2_pieces(region, row, &word)?;
// (3, 4, 3, 7, 1, 1, 13)
// Calculate R_0^{even}, R_0^{odd}, R_1^{even}, R_1^{odd}
// Calculate R_0^{even}, R_0^{odd}, R_1^{even}, R_1^{odd}
let r = word.xor_sigma_1();
let r_0: Value<[bool; 32]> = r.map(|r| r[..32].try_into().unwrap());
let r_0_even = r_0.map(even_bits);
let r_0_odd = r_0.map(odd_bits);
let r_1: Value<[bool; 32]> = r.map(|r| r[32..].try_into().unwrap());
let r_1_even = r_1.map(even_bits);
let r_1_odd = r_1.map(odd_bits);
self.assign_sigma_outputs(
region,
&self.lookup,
a_3,
row,
r_0_even,
r_0_odd,
r_1_even,
r_1_odd,
)
}
}