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chore: add bigint solver in ACVM and add a unit test for bigints in N…
…oir (AztecProtocol#4415) The PR enable bigints in ACVM, i.e you can now compile and execute Noir programs using bigint opcodes. This is demonstrated in the added unit test. --------- Co-authored-by: kevaundray <kevtheappdev@gmail.com>
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,120 @@ | ||
| use std::collections::HashMap; | ||
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| use acir::{ | ||
| circuit::opcodes::FunctionInput, | ||
| native_types::{Witness, WitnessMap}, | ||
| BlackBoxFunc, FieldElement, | ||
| }; | ||
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|
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| use num_bigint::BigUint; | ||
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| use crate::pwg::OpcodeResolutionError; | ||
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| /// Resolve BigInt opcodes by storing BigInt values (and their moduli) by their ID in a HashMap: | ||
| /// - When it encounters a bigint operation opcode, it performs the operation on the stored values | ||
| /// and store the result using the provided ID. | ||
| /// - When it gets a to_bytes opcode, it simply looks up the value and resolves the output witness accordingly. | ||
| #[derive(Default)] | ||
| pub(crate) struct BigIntSolver { | ||
| bigint_id_to_value: HashMap<u32, BigUint>, | ||
| bigint_id_to_modulus: HashMap<u32, BigUint>, | ||
| } | ||
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| impl BigIntSolver { | ||
| pub(crate) fn get_bigint( | ||
| &self, | ||
| id: u32, | ||
| func: BlackBoxFunc, | ||
| ) -> Result<BigUint, OpcodeResolutionError> { | ||
| self.bigint_id_to_value | ||
| .get(&id) | ||
| .ok_or(OpcodeResolutionError::BlackBoxFunctionFailed( | ||
| func, | ||
| format!("could not find bigint of id {id}"), | ||
| )) | ||
| .cloned() | ||
| } | ||
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| pub(crate) fn get_modulus( | ||
| &self, | ||
| id: u32, | ||
| func: BlackBoxFunc, | ||
| ) -> Result<BigUint, OpcodeResolutionError> { | ||
| self.bigint_id_to_modulus | ||
| .get(&id) | ||
| .ok_or(OpcodeResolutionError::BlackBoxFunctionFailed( | ||
| func, | ||
| format!("could not find bigint of id {id}"), | ||
| )) | ||
| .cloned() | ||
| } | ||
| pub(crate) fn bigint_from_bytes( | ||
| &mut self, | ||
| inputs: &[FunctionInput], | ||
| modulus: &[u8], | ||
| output: u32, | ||
| initial_witness: &mut WitnessMap, | ||
| ) -> Result<(), OpcodeResolutionError> { | ||
| let bytes = inputs | ||
| .iter() | ||
| .map(|input| initial_witness.get(&input.witness).unwrap().to_u128() as u8) | ||
| .collect::<Vec<u8>>(); | ||
| let bigint = BigUint::from_bytes_le(&bytes); | ||
| self.bigint_id_to_value.insert(output, bigint); | ||
| let modulus = BigUint::from_bytes_le(modulus); | ||
| self.bigint_id_to_modulus.insert(output, modulus); | ||
| Ok(()) | ||
| } | ||
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| pub(crate) fn bigint_to_bytes( | ||
| &self, | ||
| input: u32, | ||
| outputs: &Vec<Witness>, | ||
| initial_witness: &mut WitnessMap, | ||
| ) -> Result<(), OpcodeResolutionError> { | ||
| let bigint = self.get_bigint(input, BlackBoxFunc::BigIntToLeBytes)?; | ||
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| let mut bytes = bigint.to_bytes_le(); | ||
| while bytes.len() < outputs.len() { | ||
| bytes.push(0); | ||
| } | ||
| bytes.iter().zip(outputs.iter()).for_each(|(byte, output)| { | ||
| initial_witness.insert(*output, FieldElement::from(*byte as u128)); | ||
| }); | ||
| Ok(()) | ||
| } | ||
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| pub(crate) fn bigint_op( | ||
| &mut self, | ||
| lhs: u32, | ||
| rhs: u32, | ||
| output: u32, | ||
| func: BlackBoxFunc, | ||
| ) -> Result<(), OpcodeResolutionError> { | ||
| let modulus = self.get_modulus(lhs, func)?; | ||
| let lhs = self.get_bigint(lhs, func)?; | ||
| let rhs = self.get_bigint(rhs, func)?; | ||
| let mut result = match func { | ||
| BlackBoxFunc::BigIntAdd => lhs + rhs, | ||
| BlackBoxFunc::BigIntNeg => { | ||
| if lhs >= rhs { | ||
| &lhs - &rhs | ||
| } else { | ||
| &lhs + &modulus - &rhs | ||
| } | ||
| } | ||
| BlackBoxFunc::BigIntMul => lhs * rhs, | ||
| BlackBoxFunc::BigIntDiv => { | ||
| lhs * rhs.modpow(&(&modulus - BigUint::from(1_u32)), &modulus) | ||
| } //TODO ensure that modulus is prime | ||
| _ => unreachable!("ICE - bigint_op must be called for an operation"), | ||
| }; | ||
| if result > modulus { | ||
| let q = &result / &modulus; | ||
| result -= q * &modulus; | ||
| } | ||
| self.bigint_id_to_value.insert(output, result); | ||
| self.bigint_id_to_modulus.insert(output, modulus); | ||
| Ok(()) | ||
| } | ||
| } |
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,6 @@ | ||
| [package] | ||
| name = "bigint" | ||
| type = "bin" | ||
| authors = [""] | ||
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| [dependencies] |
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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,2 @@ | ||
| x = [34,3,5,8,4] | ||
| y = [44,7,1,8,8] |
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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,21 @@ | ||
| use dep::std::bigint; | ||
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| fn main(mut x: [u8;5], y: [u8;5]) { | ||
| let a = bigint::BigInt::secpk1_fq_from_le_bytes([x[0],x[1],x[2],x[3],x[4]]); | ||
| let b = bigint::BigInt::secpk1_fq_from_le_bytes([y[0],y[1],y[2],y[3],y[4]]); | ||
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| let a_bytes = a.to_le_bytes(); | ||
| let b_bytes = b.to_le_bytes(); | ||
| for i in 0..5 { | ||
| assert(a_bytes[i] == x[i]); | ||
| assert(b_bytes[i] == y[i]); | ||
| } | ||
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| let d = a*b - b; | ||
| let d_bytes = d.to_le_bytes(); | ||
| let d1 = bigint::BigInt::secpk1_fq_from_le_bytes(597243850900842442924.to_le_bytes(10)); | ||
| let d1_bytes = d1.to_le_bytes(); | ||
| for i in 0..32 { | ||
| assert(d_bytes[i] == d1_bytes[i]); | ||
| } | ||
| } |