cairo-air 1.2.2

AIR (Algebraic Intermediate Representation) definitions for Cairo programs
Documentation
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// This file was created by the AIR team.

use crate::components::prelude::*;
use crate::components::subroutines::decode_instruction_4b8cf::DecodeInstruction4B8Cf;
use crate::components::subroutines::read_positive_num_bits_252::ReadPositiveNumBits252;
use crate::components::subroutines::verify_mul_252::VerifyMul252;

pub const N_TRACE_COLUMNS: usize = 130;
pub const RELATION_USES_PER_ROW: [RelationUse; 12] = [
    RelationUse {
        relation_id: "MemoryAddressToId",
        uses: 3,
    },
    RelationUse {
        relation_id: "MemoryIdToBig",
        uses: 3,
    },
    RelationUse {
        relation_id: "Opcodes",
        uses: 1,
    },
    RelationUse {
        relation_id: "RangeCheck_20",
        uses: 4,
    },
    RelationUse {
        relation_id: "RangeCheck_20_B",
        uses: 4,
    },
    RelationUse {
        relation_id: "RangeCheck_20_C",
        uses: 4,
    },
    RelationUse {
        relation_id: "RangeCheck_20_D",
        uses: 4,
    },
    RelationUse {
        relation_id: "RangeCheck_20_E",
        uses: 3,
    },
    RelationUse {
        relation_id: "RangeCheck_20_F",
        uses: 3,
    },
    RelationUse {
        relation_id: "RangeCheck_20_G",
        uses: 3,
    },
    RelationUse {
        relation_id: "RangeCheck_20_H",
        uses: 3,
    },
    RelationUse {
        relation_id: "VerifyInstruction",
        uses: 1,
    },
];

pub struct Eval {
    pub claim: Claim,
    pub common_lookup_elements: relations::CommonLookupElements,
}

#[derive(Copy, Clone, Serialize, Deserialize, CairoSerialize, CairoDeserialize)]
pub struct Claim {
    pub log_size: u32,
}
impl Claim {
    pub fn log_sizes(&self) -> TreeVec<Vec<u32>> {
        let trace_log_sizes = vec![self.log_size; N_TRACE_COLUMNS];
        let interaction_log_sizes = vec![self.log_size; SECURE_EXTENSION_DEGREE * 19];
        TreeVec::new(vec![vec![], trace_log_sizes, interaction_log_sizes])
    }
}

#[derive(Copy, Clone, Serialize, Deserialize, CairoSerialize, CairoDeserialize)]
pub struct InteractionClaim {
    pub claimed_sum: SecureField,
}

pub type Component = FrameworkComponent<Eval>;

impl FrameworkEval for Eval {
    fn log_size(&self) -> u32 {
        self.claim.log_size
    }

    fn max_constraint_log_degree_bound(&self) -> u32 {
        self.log_size() + 1
    }

    #[allow(unused_parens)]
    #[allow(clippy::double_parens)]
    #[allow(non_snake_case)]
    fn evaluate<E: EvalAtRow>(&self, mut eval: E) -> E {
        let M31_1 = E::F::from(M31::from(1));
        let M31_428564188 = E::F::from(M31::from(428564188));
        let input_pc_col0 = eval.next_trace_mask();
        let input_ap_col1 = eval.next_trace_mask();
        let input_fp_col2 = eval.next_trace_mask();
        let offset0_col3 = eval.next_trace_mask();
        let offset1_col4 = eval.next_trace_mask();
        let offset2_col5 = eval.next_trace_mask();
        let dst_base_fp_col6 = eval.next_trace_mask();
        let op0_base_fp_col7 = eval.next_trace_mask();
        let op1_imm_col8 = eval.next_trace_mask();
        let op1_base_fp_col9 = eval.next_trace_mask();
        let ap_update_add_1_col10 = eval.next_trace_mask();
        let mem_dst_base_col11 = eval.next_trace_mask();
        let mem0_base_col12 = eval.next_trace_mask();
        let mem1_base_col13 = eval.next_trace_mask();
        let dst_id_col14 = eval.next_trace_mask();
        let dst_limb_0_col15 = eval.next_trace_mask();
        let dst_limb_1_col16 = eval.next_trace_mask();
        let dst_limb_2_col17 = eval.next_trace_mask();
        let dst_limb_3_col18 = eval.next_trace_mask();
        let dst_limb_4_col19 = eval.next_trace_mask();
        let dst_limb_5_col20 = eval.next_trace_mask();
        let dst_limb_6_col21 = eval.next_trace_mask();
        let dst_limb_7_col22 = eval.next_trace_mask();
        let dst_limb_8_col23 = eval.next_trace_mask();
        let dst_limb_9_col24 = eval.next_trace_mask();
        let dst_limb_10_col25 = eval.next_trace_mask();
        let dst_limb_11_col26 = eval.next_trace_mask();
        let dst_limb_12_col27 = eval.next_trace_mask();
        let dst_limb_13_col28 = eval.next_trace_mask();
        let dst_limb_14_col29 = eval.next_trace_mask();
        let dst_limb_15_col30 = eval.next_trace_mask();
        let dst_limb_16_col31 = eval.next_trace_mask();
        let dst_limb_17_col32 = eval.next_trace_mask();
        let dst_limb_18_col33 = eval.next_trace_mask();
        let dst_limb_19_col34 = eval.next_trace_mask();
        let dst_limb_20_col35 = eval.next_trace_mask();
        let dst_limb_21_col36 = eval.next_trace_mask();
        let dst_limb_22_col37 = eval.next_trace_mask();
        let dst_limb_23_col38 = eval.next_trace_mask();
        let dst_limb_24_col39 = eval.next_trace_mask();
        let dst_limb_25_col40 = eval.next_trace_mask();
        let dst_limb_26_col41 = eval.next_trace_mask();
        let dst_limb_27_col42 = eval.next_trace_mask();
        let op0_id_col43 = eval.next_trace_mask();
        let op0_limb_0_col44 = eval.next_trace_mask();
        let op0_limb_1_col45 = eval.next_trace_mask();
        let op0_limb_2_col46 = eval.next_trace_mask();
        let op0_limb_3_col47 = eval.next_trace_mask();
        let op0_limb_4_col48 = eval.next_trace_mask();
        let op0_limb_5_col49 = eval.next_trace_mask();
        let op0_limb_6_col50 = eval.next_trace_mask();
        let op0_limb_7_col51 = eval.next_trace_mask();
        let op0_limb_8_col52 = eval.next_trace_mask();
        let op0_limb_9_col53 = eval.next_trace_mask();
        let op0_limb_10_col54 = eval.next_trace_mask();
        let op0_limb_11_col55 = eval.next_trace_mask();
        let op0_limb_12_col56 = eval.next_trace_mask();
        let op0_limb_13_col57 = eval.next_trace_mask();
        let op0_limb_14_col58 = eval.next_trace_mask();
        let op0_limb_15_col59 = eval.next_trace_mask();
        let op0_limb_16_col60 = eval.next_trace_mask();
        let op0_limb_17_col61 = eval.next_trace_mask();
        let op0_limb_18_col62 = eval.next_trace_mask();
        let op0_limb_19_col63 = eval.next_trace_mask();
        let op0_limb_20_col64 = eval.next_trace_mask();
        let op0_limb_21_col65 = eval.next_trace_mask();
        let op0_limb_22_col66 = eval.next_trace_mask();
        let op0_limb_23_col67 = eval.next_trace_mask();
        let op0_limb_24_col68 = eval.next_trace_mask();
        let op0_limb_25_col69 = eval.next_trace_mask();
        let op0_limb_26_col70 = eval.next_trace_mask();
        let op0_limb_27_col71 = eval.next_trace_mask();
        let op1_id_col72 = eval.next_trace_mask();
        let op1_limb_0_col73 = eval.next_trace_mask();
        let op1_limb_1_col74 = eval.next_trace_mask();
        let op1_limb_2_col75 = eval.next_trace_mask();
        let op1_limb_3_col76 = eval.next_trace_mask();
        let op1_limb_4_col77 = eval.next_trace_mask();
        let op1_limb_5_col78 = eval.next_trace_mask();
        let op1_limb_6_col79 = eval.next_trace_mask();
        let op1_limb_7_col80 = eval.next_trace_mask();
        let op1_limb_8_col81 = eval.next_trace_mask();
        let op1_limb_9_col82 = eval.next_trace_mask();
        let op1_limb_10_col83 = eval.next_trace_mask();
        let op1_limb_11_col84 = eval.next_trace_mask();
        let op1_limb_12_col85 = eval.next_trace_mask();
        let op1_limb_13_col86 = eval.next_trace_mask();
        let op1_limb_14_col87 = eval.next_trace_mask();
        let op1_limb_15_col88 = eval.next_trace_mask();
        let op1_limb_16_col89 = eval.next_trace_mask();
        let op1_limb_17_col90 = eval.next_trace_mask();
        let op1_limb_18_col91 = eval.next_trace_mask();
        let op1_limb_19_col92 = eval.next_trace_mask();
        let op1_limb_20_col93 = eval.next_trace_mask();
        let op1_limb_21_col94 = eval.next_trace_mask();
        let op1_limb_22_col95 = eval.next_trace_mask();
        let op1_limb_23_col96 = eval.next_trace_mask();
        let op1_limb_24_col97 = eval.next_trace_mask();
        let op1_limb_25_col98 = eval.next_trace_mask();
        let op1_limb_26_col99 = eval.next_trace_mask();
        let op1_limb_27_col100 = eval.next_trace_mask();
        let k_col101 = eval.next_trace_mask();
        let carry_0_col102 = eval.next_trace_mask();
        let carry_1_col103 = eval.next_trace_mask();
        let carry_2_col104 = eval.next_trace_mask();
        let carry_3_col105 = eval.next_trace_mask();
        let carry_4_col106 = eval.next_trace_mask();
        let carry_5_col107 = eval.next_trace_mask();
        let carry_6_col108 = eval.next_trace_mask();
        let carry_7_col109 = eval.next_trace_mask();
        let carry_8_col110 = eval.next_trace_mask();
        let carry_9_col111 = eval.next_trace_mask();
        let carry_10_col112 = eval.next_trace_mask();
        let carry_11_col113 = eval.next_trace_mask();
        let carry_12_col114 = eval.next_trace_mask();
        let carry_13_col115 = eval.next_trace_mask();
        let carry_14_col116 = eval.next_trace_mask();
        let carry_15_col117 = eval.next_trace_mask();
        let carry_16_col118 = eval.next_trace_mask();
        let carry_17_col119 = eval.next_trace_mask();
        let carry_18_col120 = eval.next_trace_mask();
        let carry_19_col121 = eval.next_trace_mask();
        let carry_20_col122 = eval.next_trace_mask();
        let carry_21_col123 = eval.next_trace_mask();
        let carry_22_col124 = eval.next_trace_mask();
        let carry_23_col125 = eval.next_trace_mask();
        let carry_24_col126 = eval.next_trace_mask();
        let carry_25_col127 = eval.next_trace_mask();
        let carry_26_col128 = eval.next_trace_mask();
        let enabler_col129 = eval.next_trace_mask();

        #[allow(clippy::unused_unit)]
        #[allow(unused_variables)]
        let [decode_instruction_4b8cf_output_tmp_42314_11_offset0, decode_instruction_4b8cf_output_tmp_42314_11_offset1, decode_instruction_4b8cf_output_tmp_42314_11_offset2, decode_instruction_4b8cf_output_tmp_42314_11_op1_base_ap] =
            DecodeInstruction4B8Cf::evaluate(
                [input_pc_col0.clone()],
                offset0_col3.clone(),
                offset1_col4.clone(),
                offset2_col5.clone(),
                dst_base_fp_col6.clone(),
                op0_base_fp_col7.clone(),
                op1_imm_col8.clone(),
                op1_base_fp_col9.clone(),
                ap_update_add_1_col10.clone(),
                &self.common_lookup_elements,
                &mut eval,
            );
        // if imm then offset2 is 1.
        eval.add_constraint(
            (op1_imm_col8.clone()
                * (M31_1.clone() - decode_instruction_4b8cf_output_tmp_42314_11_offset2.clone())),
        );
        // mem_dst_base.
        eval.add_constraint(
            (mem_dst_base_col11.clone()
                - ((dst_base_fp_col6.clone() * input_fp_col2.clone())
                    + ((M31_1.clone() - dst_base_fp_col6.clone()) * input_ap_col1.clone()))),
        );
        // mem0_base.
        eval.add_constraint(
            (mem0_base_col12.clone()
                - ((op0_base_fp_col7.clone() * input_fp_col2.clone())
                    + ((M31_1.clone() - op0_base_fp_col7.clone()) * input_ap_col1.clone()))),
        );
        // mem1_base.
        eval.add_constraint(
            (mem1_base_col13.clone()
                - (((op1_imm_col8.clone() * input_pc_col0.clone())
                    + (op1_base_fp_col9.clone() * input_fp_col2.clone()))
                    + (decode_instruction_4b8cf_output_tmp_42314_11_op1_base_ap.clone()
                        * input_ap_col1.clone()))),
        );
        ReadPositiveNumBits252::evaluate(
            [(mem_dst_base_col11.clone()
                + decode_instruction_4b8cf_output_tmp_42314_11_offset0.clone())],
            dst_id_col14.clone(),
            dst_limb_0_col15.clone(),
            dst_limb_1_col16.clone(),
            dst_limb_2_col17.clone(),
            dst_limb_3_col18.clone(),
            dst_limb_4_col19.clone(),
            dst_limb_5_col20.clone(),
            dst_limb_6_col21.clone(),
            dst_limb_7_col22.clone(),
            dst_limb_8_col23.clone(),
            dst_limb_9_col24.clone(),
            dst_limb_10_col25.clone(),
            dst_limb_11_col26.clone(),
            dst_limb_12_col27.clone(),
            dst_limb_13_col28.clone(),
            dst_limb_14_col29.clone(),
            dst_limb_15_col30.clone(),
            dst_limb_16_col31.clone(),
            dst_limb_17_col32.clone(),
            dst_limb_18_col33.clone(),
            dst_limb_19_col34.clone(),
            dst_limb_20_col35.clone(),
            dst_limb_21_col36.clone(),
            dst_limb_22_col37.clone(),
            dst_limb_23_col38.clone(),
            dst_limb_24_col39.clone(),
            dst_limb_25_col40.clone(),
            dst_limb_26_col41.clone(),
            dst_limb_27_col42.clone(),
            &self.common_lookup_elements,
            &mut eval,
        );
        ReadPositiveNumBits252::evaluate(
            [(mem0_base_col12.clone()
                + decode_instruction_4b8cf_output_tmp_42314_11_offset1.clone())],
            op0_id_col43.clone(),
            op0_limb_0_col44.clone(),
            op0_limb_1_col45.clone(),
            op0_limb_2_col46.clone(),
            op0_limb_3_col47.clone(),
            op0_limb_4_col48.clone(),
            op0_limb_5_col49.clone(),
            op0_limb_6_col50.clone(),
            op0_limb_7_col51.clone(),
            op0_limb_8_col52.clone(),
            op0_limb_9_col53.clone(),
            op0_limb_10_col54.clone(),
            op0_limb_11_col55.clone(),
            op0_limb_12_col56.clone(),
            op0_limb_13_col57.clone(),
            op0_limb_14_col58.clone(),
            op0_limb_15_col59.clone(),
            op0_limb_16_col60.clone(),
            op0_limb_17_col61.clone(),
            op0_limb_18_col62.clone(),
            op0_limb_19_col63.clone(),
            op0_limb_20_col64.clone(),
            op0_limb_21_col65.clone(),
            op0_limb_22_col66.clone(),
            op0_limb_23_col67.clone(),
            op0_limb_24_col68.clone(),
            op0_limb_25_col69.clone(),
            op0_limb_26_col70.clone(),
            op0_limb_27_col71.clone(),
            &self.common_lookup_elements,
            &mut eval,
        );
        ReadPositiveNumBits252::evaluate(
            [(mem1_base_col13.clone()
                + decode_instruction_4b8cf_output_tmp_42314_11_offset2.clone())],
            op1_id_col72.clone(),
            op1_limb_0_col73.clone(),
            op1_limb_1_col74.clone(),
            op1_limb_2_col75.clone(),
            op1_limb_3_col76.clone(),
            op1_limb_4_col77.clone(),
            op1_limb_5_col78.clone(),
            op1_limb_6_col79.clone(),
            op1_limb_7_col80.clone(),
            op1_limb_8_col81.clone(),
            op1_limb_9_col82.clone(),
            op1_limb_10_col83.clone(),
            op1_limb_11_col84.clone(),
            op1_limb_12_col85.clone(),
            op1_limb_13_col86.clone(),
            op1_limb_14_col87.clone(),
            op1_limb_15_col88.clone(),
            op1_limb_16_col89.clone(),
            op1_limb_17_col90.clone(),
            op1_limb_18_col91.clone(),
            op1_limb_19_col92.clone(),
            op1_limb_20_col93.clone(),
            op1_limb_21_col94.clone(),
            op1_limb_22_col95.clone(),
            op1_limb_23_col96.clone(),
            op1_limb_24_col97.clone(),
            op1_limb_25_col98.clone(),
            op1_limb_26_col99.clone(),
            op1_limb_27_col100.clone(),
            &self.common_lookup_elements,
            &mut eval,
        );
        VerifyMul252::evaluate(
            [
                op0_limb_0_col44.clone(),
                op0_limb_1_col45.clone(),
                op0_limb_2_col46.clone(),
                op0_limb_3_col47.clone(),
                op0_limb_4_col48.clone(),
                op0_limb_5_col49.clone(),
                op0_limb_6_col50.clone(),
                op0_limb_7_col51.clone(),
                op0_limb_8_col52.clone(),
                op0_limb_9_col53.clone(),
                op0_limb_10_col54.clone(),
                op0_limb_11_col55.clone(),
                op0_limb_12_col56.clone(),
                op0_limb_13_col57.clone(),
                op0_limb_14_col58.clone(),
                op0_limb_15_col59.clone(),
                op0_limb_16_col60.clone(),
                op0_limb_17_col61.clone(),
                op0_limb_18_col62.clone(),
                op0_limb_19_col63.clone(),
                op0_limb_20_col64.clone(),
                op0_limb_21_col65.clone(),
                op0_limb_22_col66.clone(),
                op0_limb_23_col67.clone(),
                op0_limb_24_col68.clone(),
                op0_limb_25_col69.clone(),
                op0_limb_26_col70.clone(),
                op0_limb_27_col71.clone(),
                op1_limb_0_col73.clone(),
                op1_limb_1_col74.clone(),
                op1_limb_2_col75.clone(),
                op1_limb_3_col76.clone(),
                op1_limb_4_col77.clone(),
                op1_limb_5_col78.clone(),
                op1_limb_6_col79.clone(),
                op1_limb_7_col80.clone(),
                op1_limb_8_col81.clone(),
                op1_limb_9_col82.clone(),
                op1_limb_10_col83.clone(),
                op1_limb_11_col84.clone(),
                op1_limb_12_col85.clone(),
                op1_limb_13_col86.clone(),
                op1_limb_14_col87.clone(),
                op1_limb_15_col88.clone(),
                op1_limb_16_col89.clone(),
                op1_limb_17_col90.clone(),
                op1_limb_18_col91.clone(),
                op1_limb_19_col92.clone(),
                op1_limb_20_col93.clone(),
                op1_limb_21_col94.clone(),
                op1_limb_22_col95.clone(),
                op1_limb_23_col96.clone(),
                op1_limb_24_col97.clone(),
                op1_limb_25_col98.clone(),
                op1_limb_26_col99.clone(),
                op1_limb_27_col100.clone(),
                dst_limb_0_col15.clone(),
                dst_limb_1_col16.clone(),
                dst_limb_2_col17.clone(),
                dst_limb_3_col18.clone(),
                dst_limb_4_col19.clone(),
                dst_limb_5_col20.clone(),
                dst_limb_6_col21.clone(),
                dst_limb_7_col22.clone(),
                dst_limb_8_col23.clone(),
                dst_limb_9_col24.clone(),
                dst_limb_10_col25.clone(),
                dst_limb_11_col26.clone(),
                dst_limb_12_col27.clone(),
                dst_limb_13_col28.clone(),
                dst_limb_14_col29.clone(),
                dst_limb_15_col30.clone(),
                dst_limb_16_col31.clone(),
                dst_limb_17_col32.clone(),
                dst_limb_18_col33.clone(),
                dst_limb_19_col34.clone(),
                dst_limb_20_col35.clone(),
                dst_limb_21_col36.clone(),
                dst_limb_22_col37.clone(),
                dst_limb_23_col38.clone(),
                dst_limb_24_col39.clone(),
                dst_limb_25_col40.clone(),
                dst_limb_26_col41.clone(),
                dst_limb_27_col42.clone(),
            ],
            k_col101.clone(),
            carry_0_col102.clone(),
            carry_1_col103.clone(),
            carry_2_col104.clone(),
            carry_3_col105.clone(),
            carry_4_col106.clone(),
            carry_5_col107.clone(),
            carry_6_col108.clone(),
            carry_7_col109.clone(),
            carry_8_col110.clone(),
            carry_9_col111.clone(),
            carry_10_col112.clone(),
            carry_11_col113.clone(),
            carry_12_col114.clone(),
            carry_13_col115.clone(),
            carry_14_col116.clone(),
            carry_15_col117.clone(),
            carry_16_col118.clone(),
            carry_17_col119.clone(),
            carry_18_col120.clone(),
            carry_19_col121.clone(),
            carry_20_col122.clone(),
            carry_21_col123.clone(),
            carry_22_col124.clone(),
            carry_23_col125.clone(),
            carry_24_col126.clone(),
            carry_25_col127.clone(),
            carry_26_col128.clone(),
            &self.common_lookup_elements,
            &mut eval,
        );
        // Enabler is a bit.
        eval.add_constraint(
            ((enabler_col129.clone() * enabler_col129.clone()) - enabler_col129.clone()),
        );
        eval.add_to_relation(RelationEntry::new(
            &self.common_lookup_elements,
            E::EF::from(enabler_col129.clone()),
            &[
                M31_428564188.clone(),
                input_pc_col0.clone(),
                input_ap_col1.clone(),
                input_fp_col2.clone(),
            ],
        ));

        eval.add_to_relation(RelationEntry::new(
            &self.common_lookup_elements,
            -E::EF::from(enabler_col129.clone()),
            &[
                M31_428564188.clone(),
                ((input_pc_col0.clone() + M31_1.clone()) + op1_imm_col8.clone()),
                (input_ap_col1.clone() + ap_update_add_1_col10.clone()),
                input_fp_col2.clone(),
            ],
        ));

        eval.finalize_logup_in_pairs();
        eval
    }
}

#[cfg(test)]
mod tests {
    use num_traits::Zero;
    use rand::rngs::SmallRng;
    use rand::{Rng, SeedableRng};
    use stwo::core::fields::qm31::QM31;
    use stwo_constraint_framework::expr::ExprEvaluator;

    use super::*;
    use crate::components::constraints_regression_test_values::MUL_OPCODE;

    #[test]
    fn mul_opcode_constraints_regression() {
        let mut rng = SmallRng::seed_from_u64(0);
        let eval = Eval {
            claim: Claim { log_size: 4 },
            common_lookup_elements: relations::CommonLookupElements::dummy(),
        };
        let expr_eval = eval.evaluate(ExprEvaluator::new());
        let assignment = expr_eval.random_assignment();

        let mut sum = QM31::zero();
        for c in expr_eval.constraints {
            sum += c.assign(&assignment) * rng.gen::<QM31>();
        }

        MUL_OPCODE.assert_debug_eq(&sum);
    }
}