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use core::borrow::Borrow;
use p3_air::{Air, AirBuilder, BaseAir};
use p3_field::AbstractField;
use p3_matrix::Matrix;
use super::columns::{ShaCompressCols, NUM_SHA_COMPRESS_COLS};
use super::{ShaCompressChip, SHA_COMPRESS_K};
use crate::air::{BaseAirBuilder, SP1AirBuilder, Word, WordAirBuilder};
use crate::memory::MemoryCols;
use crate::operations::{
Add5Operation, AddOperation, AndOperation, FixedRotateRightOperation, NotOperation,
XorOperation,
};
use crate::runtime::SyscallCode;
impl<F> BaseAir<F> for ShaCompressChip {
fn width(&self) -> usize {
NUM_SHA_COMPRESS_COLS
}
}
impl<AB> Air<AB> for ShaCompressChip
where
AB: SP1AirBuilder,
{
fn eval(&self, builder: &mut AB) {
let main = builder.main();
let (local, next) = (main.row_slice(0), main.row_slice(1));
let local: &ShaCompressCols<AB::Var> = (*local).borrow();
let next: &ShaCompressCols<AB::Var> = (*next).borrow();
// Constrain the incrementing nonce.
builder.when_first_row().assert_zero(local.nonce);
builder
.when_transition()
.assert_eq(local.nonce + AB::Expr::one(), next.nonce);
self.eval_control_flow_flags(builder, local, next);
self.eval_memory(builder, local);
self.eval_compression_ops(builder, local, next);
self.eval_finalize_ops(builder, local);
builder.assert_eq(
local.start,
local.is_real * local.octet[0] * local.octet_num[0],
);
builder.receive_syscall(
local.shard,
local.channel,
local.clk,
local.nonce,
AB::F::from_canonical_u32(SyscallCode::SHA_COMPRESS.syscall_id()),
local.w_ptr,
local.h_ptr,
local.start,
);
}
}
impl ShaCompressChip {
fn eval_control_flow_flags<AB: SP1AirBuilder>(
&self,
builder: &mut AB,
local: &ShaCompressCols<AB::Var>,
next: &ShaCompressCols<AB::Var>,
) {
// Verify that all of the octet columns are bool.
for i in 0..8 {
builder.assert_bool(local.octet[i]);
}
// Verify that exactly one of the octet columns is true.
let mut octet_sum = AB::Expr::zero();
for i in 0..8 {
octet_sum += local.octet[i].into();
}
builder.assert_one(octet_sum);
// Verify that the first row's octet value is correct.
builder.when_first_row().assert_one(local.octet[0]);
// Verify correct transition for octet column.
for i in 0..8 {
builder
.when_transition()
.when(local.octet[i])
.assert_one(next.octet[(i + 1) % 8])
}
// Verify that all of the octet_num columns are bool.
for i in 0..10 {
builder.assert_bool(local.octet_num[i]);
}
// Verify that exactly one of the octet_num columns is true.
let mut octet_num_sum = AB::Expr::zero();
for i in 0..10 {
octet_num_sum += local.octet_num[i].into();
}
builder.assert_one(octet_num_sum);
// The first row should have octet_num[0] = 1 if it's real.
builder.when_first_row().assert_one(local.octet_num[0]);
// If current row is not last of an octet and next row is real, octet_num should be the same.
for i in 0..10 {
builder
.when_transition()
.when_not(local.octet[7])
.assert_eq(local.octet_num[i], next.octet_num[i]);
}
// If current row is last of an octet and next row is real, octet_num should rotate by 1.
for i in 0..10 {
builder
.when_transition()
.when(local.octet[7])
.assert_eq(local.octet_num[i], next.octet_num[(i + 1) % 10]);
}
// Constrain A-H columns
let vars = [
local.a, local.b, local.c, local.d, local.e, local.f, local.g, local.h,
];
let next_vars = [
next.a, next.b, next.c, next.d, next.e, next.f, next.g, next.h,
];
for (i, var) in vars.iter().enumerate() {
// For all initialize and finalize cycles, A-H should be the same in the next row. The
// last cycle is an exception since the next row must be a new 80-cycle loop or nonreal.
builder
.when_transition()
.when(local.octet_num[0] + local.octet_num[9] * (AB::Expr::one() - local.octet[7]))
.assert_word_eq(*var, next_vars[i]);
// When column is read from memory during init, is should be equal to the memory value.
builder
.when_transition()
.when(local.octet_num[0] * local.octet[i])
.assert_word_eq(*var, *local.mem.value());
}
// Assert that the is_initialize flag is correct.
builder.assert_eq(local.is_initialize, local.octet_num[0] * local.is_real);
// Assert that the is_compression flag is correct.
builder.assert_eq(
local.is_compression,
(local.octet_num[1]
+ local.octet_num[2]
+ local.octet_num[3]
+ local.octet_num[4]
+ local.octet_num[5]
+ local.octet_num[6]
+ local.octet_num[7]
+ local.octet_num[8])
* local.is_real,
);
// Assert that the is_finalize flag is correct.
builder.assert_eq(local.is_finalize, local.octet_num[9] * local.is_real);
builder.assert_eq(
local.is_last_row.into(),
local.octet[7] * local.octet_num[9],
);
// If this row is real and not the last cycle, then next row should have same inputs
builder
.when_transition()
.when(local.is_real)
.when_not(local.is_last_row)
.assert_eq(local.shard, next.shard);
builder
.when_transition()
.when(local.is_real)
.when_not(local.is_last_row)
.assert_eq(local.clk, next.clk);
builder
.when_transition()
.when_not(local.is_last_row)
.assert_eq(local.channel, next.channel);
builder
.when_transition()
.when(local.is_real)
.when_not(local.is_last_row)
.assert_eq(local.w_ptr, next.w_ptr);
builder
.when_transition()
.when(local.is_real)
.when_not(local.is_last_row)
.assert_eq(local.h_ptr, next.h_ptr);
// Assert that is_real is a bool.
builder.assert_bool(local.is_real);
// If this row is real and not the last cycle, then next row should also be real.
builder
.when_transition()
.when(local.is_real)
.when_not(local.is_last_row)
.assert_one(next.is_real);
// Once the is_real flag is changed to false, it should not be changed back.
builder
.when_transition()
.when_not(local.is_real)
.assert_zero(next.is_real);
// Assert that the table ends in nonreal columns. Since each compress ecall is 80 cycles and
// the table is padded to a power of 2, the last row of the table should always be padding.
builder.when_last_row().assert_zero(local.is_real);
}
/// Constrains that memory address is correct and that memory is correctly written/read.
fn eval_memory<AB: SP1AirBuilder>(&self, builder: &mut AB, local: &ShaCompressCols<AB::Var>) {
builder.eval_memory_access(
local.shard,
local.channel,
local.clk + local.is_finalize,
local.mem_addr,
&local.mem,
local.is_initialize + local.is_compression + local.is_finalize,
);
// Calculate the current cycle_num.
let mut cycle_num = AB::Expr::zero();
for i in 0..10 {
cycle_num += local.octet_num[i] * AB::Expr::from_canonical_usize(i);
}
// Calculate the current step of the cycle 8.
let mut cycle_step = AB::Expr::zero();
for i in 0..8 {
cycle_step += local.octet[i] * AB::Expr::from_canonical_usize(i);
}
// Verify correct mem address for initialize phase
builder.when(local.is_initialize).assert_eq(
local.mem_addr,
local.h_ptr + cycle_step.clone() * AB::Expr::from_canonical_u32(4),
);
// Verify correct mem address for compression phase
builder.when(local.is_compression).assert_eq(
local.mem_addr,
local.w_ptr
+ (((cycle_num - AB::Expr::one()) * AB::Expr::from_canonical_u32(8))
+ cycle_step.clone())
* AB::Expr::from_canonical_u32(4),
);
// Verify correct mem address for finalize phase
builder.when(local.is_finalize).assert_eq(
local.mem_addr,
local.h_ptr + cycle_step.clone() * AB::Expr::from_canonical_u32(4),
);
// In the initialize phase, verify that local.a, local.b, ... is correctly read from memory
// and does not change
let vars = [
local.a, local.b, local.c, local.d, local.e, local.f, local.g, local.h,
];
for (i, var) in vars.iter().enumerate() {
builder
.when(local.is_initialize)
.when(local.octet[i])
.assert_word_eq(*var, *local.mem.prev_value());
builder
.when(local.is_initialize)
.when(local.octet[i])
.assert_word_eq(*var, *local.mem.value());
}
// During compression, verify that memory is read only and does not change.
builder
.when(local.is_compression)
.assert_word_eq(*local.mem.prev_value(), *local.mem.value());
// In the finalize phase, verify that the correct value is written to memory.
builder
.when(local.is_finalize)
.assert_word_eq(*local.mem.value(), local.finalize_add.value);
}
fn eval_compression_ops<AB: SP1AirBuilder>(
&self,
builder: &mut AB,
local: &ShaCompressCols<AB::Var>,
next: &ShaCompressCols<AB::Var>,
) {
// Constrain k column which loops over 64 constant values.
for i in 0..64 {
let octet_num = i / 8;
let inner_index = i % 8;
builder
.when(local.octet_num[octet_num + 1] * local.octet[inner_index])
.assert_all_eq(local.k, Word::<AB::F>::from(SHA_COMPRESS_K[i]));
}
// S1 := (e rightrotate 6) xor (e rightrotate 11) xor (e rightrotate 25).
// Calculate e rightrotate 6.
FixedRotateRightOperation::<AB::F>::eval(
builder,
local.e,
6,
local.e_rr_6,
local.shard,
local.channel,
local.is_compression,
);
// Calculate e rightrotate 11.
FixedRotateRightOperation::<AB::F>::eval(
builder,
local.e,
11,
local.e_rr_11,
local.shard,
local.channel,
local.is_compression,
);
// Calculate e rightrotate 25.
FixedRotateRightOperation::<AB::F>::eval(
builder,
local.e,
25,
local.e_rr_25,
local.shard,
local.channel,
local.is_compression,
);
// Calculate (e rightrotate 6) xor (e rightrotate 11).
XorOperation::<AB::F>::eval(
builder,
local.e_rr_6.value,
local.e_rr_11.value,
local.s1_intermediate,
local.shard,
local.channel,
local.is_compression,
);
// Calculate S1 := ((e rightrotate 6) xor (e rightrotate 11)) xor (e rightrotate 25).
XorOperation::<AB::F>::eval(
builder,
local.s1_intermediate.value,
local.e_rr_25.value,
local.s1,
local.shard,
local.channel,
local.is_compression,
);
// Calculate ch := (e and f) xor ((not e) and g).
// Calculate e and f.
AndOperation::<AB::F>::eval(
builder,
local.e,
local.f,
local.e_and_f,
local.shard,
local.channel,
local.is_compression,
);
// Calculate not e.
NotOperation::<AB::F>::eval(
builder,
local.e,
local.e_not,
local.shard,
local.channel,
local.is_compression,
);
// Calculate (not e) and g.
AndOperation::<AB::F>::eval(
builder,
local.e_not.value,
local.g,
local.e_not_and_g,
local.shard,
local.channel,
local.is_compression,
);
// Calculate ch := (e and f) xor ((not e) and g).
XorOperation::<AB::F>::eval(
builder,
local.e_and_f.value,
local.e_not_and_g.value,
local.ch,
local.shard,
local.channel,
local.is_compression,
);
// Calculate temp1 := h + S1 + ch + k[i] + w[i].
Add5Operation::<AB::F>::eval(
builder,
&[
local.h,
local.s1.value,
local.ch.value,
local.k,
local.mem.access.value,
],
local.shard,
local.channel,
local.is_compression,
local.temp1,
);
// Calculate S0 := (a rightrotate 2) xor (a rightrotate 13) xor (a rightrotate 22).
// Calculate a rightrotate 2.
FixedRotateRightOperation::<AB::F>::eval(
builder,
local.a,
2,
local.a_rr_2,
local.shard,
local.channel,
local.is_compression,
);
// Calculate a rightrotate 13.
FixedRotateRightOperation::<AB::F>::eval(
builder,
local.a,
13,
local.a_rr_13,
local.shard,
local.channel,
local.is_compression,
);
// Calculate a rightrotate 22.
FixedRotateRightOperation::<AB::F>::eval(
builder,
local.a,
22,
local.a_rr_22,
local.shard,
local.channel,
local.is_compression,
);
// Calculate (a rightrotate 2) xor (a rightrotate 13).
XorOperation::<AB::F>::eval(
builder,
local.a_rr_2.value,
local.a_rr_13.value,
local.s0_intermediate,
local.shard,
local.channel,
local.is_compression,
);
// Calculate S0 := ((a rightrotate 2) xor (a rightrotate 13)) xor (a rightrotate 22).
XorOperation::<AB::F>::eval(
builder,
local.s0_intermediate.value,
local.a_rr_22.value,
local.s0,
local.shard,
local.channel,
local.is_compression,
);
// Calculate maj := (a and b) xor (a and c) xor (b and c).
// Calculate a and b.
AndOperation::<AB::F>::eval(
builder,
local.a,
local.b,
local.a_and_b,
local.shard,
local.channel,
local.is_compression,
);
// Calculate a and c.
AndOperation::<AB::F>::eval(
builder,
local.a,
local.c,
local.a_and_c,
local.shard,
local.channel,
local.is_compression,
);
// Calculate b and c.
AndOperation::<AB::F>::eval(
builder,
local.b,
local.c,
local.b_and_c,
local.shard,
local.channel,
local.is_compression,
);
// Calculate (a and b) xor (a and c).
XorOperation::<AB::F>::eval(
builder,
local.a_and_b.value,
local.a_and_c.value,
local.maj_intermediate,
local.shard,
local.channel,
local.is_compression,
);
// Calculate maj := ((a and b) xor (a and c)) xor (b and c).
XorOperation::<AB::F>::eval(
builder,
local.maj_intermediate.value,
local.b_and_c.value,
local.maj,
local.shard,
local.channel,
local.is_compression,
);
// Calculate temp2 := s0 + maj.
AddOperation::<AB::F>::eval(
builder,
local.s0.value,
local.maj.value,
local.temp2,
local.shard,
local.channel,
local.is_compression.into(),
);
// Calculate d + temp1 for the new value of e.
AddOperation::<AB::F>::eval(
builder,
local.d,
local.temp1.value,
local.d_add_temp1,
local.shard,
local.channel,
local.is_compression.into(),
);
// Calculate temp1 + temp2 for the new value of a.
AddOperation::<AB::F>::eval(
builder,
local.temp1.value,
local.temp2.value,
local.temp1_add_temp2,
local.shard,
local.channel,
local.is_compression.into(),
);
// h := g
// g := f
// f := e
// e := d + temp1
// d := c
// c := b
// b := a
// a := temp1 + temp2
builder
.when_transition()
.when(local.is_compression)
.assert_word_eq(next.h, local.g);
builder
.when_transition()
.when(local.is_compression)
.assert_word_eq(next.g, local.f);
builder
.when_transition()
.when(local.is_compression)
.assert_word_eq(next.f, local.e);
builder
.when_transition()
.when(local.is_compression)
.assert_word_eq(next.e, local.d_add_temp1.value);
builder
.when_transition()
.when(local.is_compression)
.assert_word_eq(next.d, local.c);
builder
.when_transition()
.when(local.is_compression)
.assert_word_eq(next.c, local.b);
builder
.when_transition()
.when(local.is_compression)
.assert_word_eq(next.b, local.a);
builder
.when_transition()
.when(local.is_compression)
.assert_word_eq(next.a, local.temp1_add_temp2.value);
}
fn eval_finalize_ops<AB: SP1AirBuilder>(
&self,
builder: &mut AB,
local: &ShaCompressCols<AB::Var>,
) {
// In the finalize phase, need to execute h[0] + a, h[1] + b, ..., h[7] + h, for each of the
// phase's 8 rows.
// We can get the needed operand (a,b,c,...,h) by doing an inner product between octet and
// [a,b,c,...,h] which will act as a selector.
let add_operands = [
local.a, local.b, local.c, local.d, local.e, local.f, local.g, local.h,
];
let zero = AB::Expr::zero();
let mut filtered_operand = Word([zero.clone(), zero.clone(), zero.clone(), zero]);
for (i, operand) in local.octet.iter().zip(add_operands.iter()) {
for j in 0..4 {
filtered_operand.0[j] += *i * operand.0[j];
}
}
builder
.when(local.is_finalize)
.assert_word_eq(filtered_operand, local.finalized_operand.map(|x| x.into()));
// finalize_add.result = h[i] + finalized_operand
AddOperation::<AB::F>::eval(
builder,
local.mem.prev_value,
local.finalized_operand,
local.finalize_add,
local.shard,
local.channel,
local.is_finalize.into(),
);
// Memory write is constrained in constrain_memory.
}
}