sp1-recursion-machine 6.2.3

Machine definitions for SP1 recursion
Documentation
use core::borrow::Borrow;
use slop_air::{Air, BaseAir, PairBuilder};
use slop_algebra::{extension::BinomiallyExtendable, Field, PrimeField32};
use slop_matrix::Matrix;
use slop_maybe_rayon::prelude::{IndexedParallelIterator, ParallelIterator, ParallelSliceMut};
use sp1_derive::AlignedBorrow;
use sp1_hypercube::{
    air::{ExtensionAirBuilder, MachineAir},
    next_multiple_of_32,
};
use sp1_primitives::SP1Field;
use sp1_recursion_executor::{
    Address, Block, ExecutionRecord, ExtAluInstr, ExtAluIo, ExtAluOpcode, Instruction,
    RecursionProgram, D,
};
use std::{borrow::BorrowMut, iter::zip, mem::MaybeUninit};

use crate::builder::SP1RecursionAirBuilder;

pub const NUM_EXT_ALU_ENTRIES_PER_ROW: usize = 1;

#[derive(Default, Clone)]
pub struct ExtAluChip;

pub const NUM_EXT_ALU_COLS: usize = core::mem::size_of::<ExtAluCols<u8>>();

#[derive(AlignedBorrow, Debug, Clone, Copy)]
#[repr(C)]
pub struct ExtAluCols<F: Copy> {
    pub values: [ExtAluValueCols<F>; NUM_EXT_ALU_ENTRIES_PER_ROW],
}
const NUM_EXT_ALU_VALUE_COLS: usize = core::mem::size_of::<ExtAluValueCols<u8>>();

#[derive(AlignedBorrow, Debug, Clone, Copy)]
#[repr(C)]
pub struct ExtAluValueCols<F: Copy> {
    pub vals: ExtAluIo<Block<F>>,
}

pub const NUM_EXT_ALU_PREPROCESSED_COLS: usize = core::mem::size_of::<ExtAluPreprocessedCols<u8>>();

#[derive(AlignedBorrow, Debug, Clone, Copy)]
#[repr(C)]
pub struct ExtAluPreprocessedCols<F: Copy> {
    pub accesses: [ExtAluAccessCols<F>; NUM_EXT_ALU_ENTRIES_PER_ROW],
}

pub const NUM_EXT_ALU_ACCESS_COLS: usize = core::mem::size_of::<ExtAluAccessCols<u8>>();

#[derive(AlignedBorrow, Debug, Clone, Copy)]
#[repr(C)]
pub struct ExtAluAccessCols<F: Copy> {
    pub addrs: ExtAluIo<Address<F>>,
    pub is_add: F,
    pub is_sub: F,
    pub is_mul: F,
    pub is_div: F,
    pub mult: F,
}

impl<F: Field> BaseAir<F> for ExtAluChip {
    fn width(&self) -> usize {
        NUM_EXT_ALU_COLS
    }
}

impl<F: PrimeField32 + BinomiallyExtendable<D>> MachineAir<F> for ExtAluChip {
    type Record = ExecutionRecord<F>;

    type Program = RecursionProgram<F>;

    fn name(&self) -> &'static str {
        "ExtAlu"
    }

    fn preprocessed_width(&self) -> usize {
        NUM_EXT_ALU_PREPROCESSED_COLS
    }

    fn preprocessed_num_rows(&self, program: &Self::Program) -> Option<usize> {
        let instrs_len = program
            .inner
            .iter()
            .filter_map(|instruction| match instruction.inner() {
                Instruction::ExtAlu(x) => Some(x),
                _ => None,
            })
            .count();
        self.preprocessed_num_rows_with_instrs_len(program, instrs_len)
    }

    fn preprocessed_num_rows_with_instrs_len(
        &self,
        program: &Self::Program,
        instrs_len: usize,
    ) -> Option<usize> {
        let height = program.shape.as_ref().and_then(|shape| shape.height(self));
        let nb_rows = instrs_len.div_ceil(NUM_EXT_ALU_ENTRIES_PER_ROW);
        Some(next_multiple_of_32(nb_rows, height))
    }

    fn generate_preprocessed_trace_into(
        &self,
        program: &Self::Program,
        buffer: &mut [MaybeUninit<F>],
    ) {
        assert_eq!(
            std::any::TypeId::of::<F>(),
            std::any::TypeId::of::<SP1Field>(),
            "generate_preprocessed_trace only supports SP1Field field"
        );

        let instrs = program
            .inner
            .iter()
            .filter_map(|instruction| match instruction.inner() {
                Instruction::ExtAlu(x) => Some(x),
                _ => None,
            })
            .collect::<Vec<_>>();

        let padded_nb_rows =
            self.preprocessed_num_rows_with_instrs_len(program, instrs.len()).unwrap();

        let buffer_ptr = buffer.as_mut_ptr() as *mut F;
        let values = unsafe {
            core::slice::from_raw_parts_mut(
                buffer_ptr,
                padded_nb_rows * NUM_EXT_ALU_PREPROCESSED_COLS,
            )
        };

        unsafe {
            let padding_start = instrs.len() * NUM_EXT_ALU_ACCESS_COLS;
            let padding_size = padded_nb_rows * NUM_EXT_ALU_PREPROCESSED_COLS - padding_start;
            if padding_size > 0 {
                core::ptr::write_bytes(buffer[padding_start..].as_mut_ptr(), 0, padding_size);
            }
        }

        // Generate the trace rows & corresponding records for each chunk of events in parallel.
        let populate_len = instrs.len() * NUM_EXT_ALU_ACCESS_COLS;
        values[..populate_len].par_chunks_mut(NUM_EXT_ALU_ACCESS_COLS).zip_eq(instrs).for_each(
            |(row, instr)| {
                let ExtAluInstr { opcode, mult, addrs } = instr;
                let access: &mut ExtAluAccessCols<_> = row.borrow_mut();
                *access = ExtAluAccessCols {
                    addrs: addrs.to_owned(),
                    is_add: F::from_bool(false),
                    is_sub: F::from_bool(false),
                    is_mul: F::from_bool(false),
                    is_div: F::from_bool(false),
                    mult: mult.to_owned(),
                };
                let target_flag = match opcode {
                    ExtAluOpcode::AddE => &mut access.is_add,
                    ExtAluOpcode::SubE => &mut access.is_sub,
                    ExtAluOpcode::MulE => &mut access.is_mul,
                    ExtAluOpcode::DivE => &mut access.is_div,
                };
                *target_flag = F::from_bool(true);
            },
        );
    }

    fn generate_dependencies(&self, _: &Self::Record, _: &mut Self::Record) {
        // This is a no-op.
    }

    fn num_rows(&self, input: &Self::Record) -> Option<usize> {
        let height = input.program.shape.as_ref().and_then(|shape| shape.height(self));
        let events = &input.ext_alu_events;
        let nb_rows = events.len().div_ceil(NUM_EXT_ALU_ENTRIES_PER_ROW);
        Some(next_multiple_of_32(nb_rows, height))
    }

    fn generate_trace_into(
        &self,
        input: &ExecutionRecord<F>,
        _: &mut ExecutionRecord<F>,
        buffer: &mut [MaybeUninit<F>],
    ) {
        assert_eq!(
            std::any::TypeId::of::<F>(),
            std::any::TypeId::of::<SP1Field>(),
            "generate_trace_into only supports SP1Field"
        );

        let events = &input.ext_alu_events;
        let padded_nb_rows = self.num_rows(input).unwrap();
        let num_event_rows = events.len();

        unsafe {
            let padding_start = num_event_rows * NUM_EXT_ALU_COLS;
            let padding_size = (padded_nb_rows - num_event_rows) * NUM_EXT_ALU_COLS;
            if padding_size > 0 {
                core::ptr::write_bytes(buffer[padding_start..].as_mut_ptr(), 0, padding_size);
            }
        }

        let buffer_ptr = buffer.as_mut_ptr() as *mut F;
        let values = unsafe {
            core::slice::from_raw_parts_mut(buffer_ptr, num_event_rows * NUM_EXT_ALU_COLS)
        };

        // Generate the trace rows & corresponding records for each chunk of events in parallel.
        let populate_len = events.len() * NUM_EXT_ALU_VALUE_COLS;
        values[..populate_len].par_chunks_mut(NUM_EXT_ALU_VALUE_COLS).zip_eq(events).for_each(
            |(row, &vals)| {
                let cols: &mut ExtAluValueCols<_> = row.borrow_mut();
                *cols = ExtAluValueCols { vals };
            },
        );
    }

    fn included(&self, _record: &Self::Record) -> bool {
        true
    }
}

impl<AB> Air<AB> for ExtAluChip
where
    AB: SP1RecursionAirBuilder + PairBuilder,
{
    fn eval(&self, builder: &mut AB) {
        let main = builder.main();
        let local = main.row_slice(0);
        let local: &ExtAluCols<AB::Var> = (*local).borrow();
        let prep = builder.preprocessed();
        let prep_local = prep.row_slice(0);
        let prep_local: &ExtAluPreprocessedCols<AB::Var> = (*prep_local).borrow();

        for (
            ExtAluValueCols { vals },
            ExtAluAccessCols { addrs, is_add, is_sub, is_mul, is_div, mult },
        ) in zip(local.values, prep_local.accesses)
        {
            let in1 = vals.in1.as_extension::<AB>();
            let in2 = vals.in2.as_extension::<AB>();
            let out = vals.out.as_extension::<AB>();

            // Check exactly one flag is enabled.
            let is_real = is_add + is_sub + is_mul + is_div;
            builder.assert_bool(is_real.clone());

            builder.when(is_add).assert_ext_eq(in1.clone() + in2.clone(), out.clone());
            builder.when(is_sub).assert_ext_eq(in1.clone(), in2.clone() + out.clone());
            builder.when(is_mul).assert_ext_eq(in1.clone() * in2.clone(), out.clone());
            builder.when(is_div).assert_ext_eq(in1, in2 * out);

            // Read the inputs from memory.
            builder.receive_block(addrs.in1, vals.in1, is_real.clone());
            builder.receive_block(addrs.in2, vals.in2, is_real);

            // Write the output to memory.
            builder.send_block(addrs.out, vals.out, mult);
        }
    }
}

#[cfg(test)]
mod tests {
    use crate::{chips::test_fixtures, test::test_recursion_linear_program};
    use rand::{rngs::StdRng, Rng, SeedableRng};
    use slop_algebra::{extension::BinomialExtensionField, AbstractExtensionField};

    use sp1_recursion_executor::{instruction as instr, ExtAluOpcode, MemAccessKind};

    use super::*;

    #[tokio::test]
    async fn generate_trace() {
        let shard = test_fixtures::shard().await;
        let trace = ExtAluChip.generate_trace(shard, &mut ExecutionRecord::default());
        assert!(trace.height() > test_fixtures::MIN_ROWS);
    }

    #[tokio::test]
    async fn generate_preprocessed_trace() {
        let program = &test_fixtures::program_with_input().await.0;
        let trace = ExtAluChip.generate_preprocessed_trace(program).unwrap();
        assert!(trace.height() > test_fixtures::MIN_ROWS);
    }

    #[tokio::test]
    async fn four_ops() {
        use sp1_primitives::SP1Field;
        type F = SP1Field;
        let mut rng = StdRng::seed_from_u64(0xDEADBEEF);
        let mut random_extfelt = move || {
            let inner: [F; 4] = core::array::from_fn(|_| rng.sample(rand::distributions::Standard));
            BinomialExtensionField::<F, D>::from_base_slice(&inner)
        };
        let mut addr = 0;

        let instructions = (0..1000)
            .flat_map(|_| {
                let quot = random_extfelt();
                let in2 = random_extfelt();
                let in1 = in2 * quot;
                let alloc_size = 6;
                let a = (0..alloc_size).map(|x| x + addr).collect::<Vec<_>>();
                addr += alloc_size;
                [
                    instr::mem_ext(MemAccessKind::Write, 4, a[0], in1),
                    instr::mem_ext(MemAccessKind::Write, 4, a[1], in2),
                    instr::ext_alu(ExtAluOpcode::AddE, 1, a[2], a[0], a[1]),
                    instr::mem_ext(MemAccessKind::Read, 1, a[2], in1 + in2),
                    instr::ext_alu(ExtAluOpcode::SubE, 1, a[3], a[0], a[1]),
                    instr::mem_ext(MemAccessKind::Read, 1, a[3], in1 - in2),
                    instr::ext_alu(ExtAluOpcode::MulE, 1, a[4], a[0], a[1]),
                    instr::mem_ext(MemAccessKind::Read, 1, a[4], in1 * in2),
                    instr::ext_alu(ExtAluOpcode::DivE, 1, a[5], a[0], a[1]),
                    instr::mem_ext(MemAccessKind::Read, 1, a[5], quot),
                ]
            })
            .collect::<Vec<Instruction<F>>>();

        test_recursion_linear_program(instructions).await;
    }
}