use anyhow::Result; use ethereum_types::U256; use rand::Rng; use crate::bn254_pairing::{ gen_fp12_sparse, invariant_exponent, miller_loop, tate, Curve, TwistedCurve, }; use crate::cpu::kernel::interpreter::{ run_interpreter_with_memory, Interpreter, InterpreterMemoryInitialization, }; use crate::extension_tower::{FieldExt, Fp12, Fp2, Fp6, Stack, BN254}; use crate::memory::segments::Segment::BnPairing; fn extract_stack(interpreter: Interpreter<'static>) -> Vec { interpreter .stack() .iter() .rev() .cloned() .collect::>() } fn setup_mul_fp6_test( f: Fp6, g: Fp6, label: &str, ) -> InterpreterMemoryInitialization { let mut stack = f.on_stack(); if label == "mul_fp254_6" { stack.extend(g.on_stack()); } stack.push(U256::from(0xdeadbeefu32)); InterpreterMemoryInitialization { label: label.to_string(), stack, segment: BnPairing, memory: vec![], } } #[test] fn test_mul_fp6() -> Result<()> { let mut rng = rand::thread_rng(); let f: Fp6 = rng.gen::>(); let g: Fp6 = rng.gen::>(); let setup_normal: InterpreterMemoryInitialization = setup_mul_fp6_test(f, g, "mul_fp254_6"); let setup_square: InterpreterMemoryInitialization = setup_mul_fp6_test(f, f, "square_fp254_6"); let intrptr_normal: Interpreter = run_interpreter_with_memory(setup_normal).unwrap(); let intrptr_square: Interpreter = run_interpreter_with_memory(setup_square).unwrap(); let out_normal: Vec = extract_stack(intrptr_normal); let out_square: Vec = extract_stack(intrptr_square); let exp_normal: Vec = (f * g).on_stack(); let exp_square: Vec = (f * f).on_stack(); assert_eq!(out_normal, exp_normal); assert_eq!(out_square, exp_square); Ok(()) } fn setup_mul_fp12_test( out: usize, f: Fp12, g: Fp12, label: &str, ) -> InterpreterMemoryInitialization { let in0: usize = 200; let in1: usize = 212; let mut stack = vec![ U256::from(in0), U256::from(in1), U256::from(out), U256::from(0xdeadbeefu32), ]; if label == "square_fp254_12" { stack.remove(0); } InterpreterMemoryInitialization { label: label.to_string(), stack, segment: BnPairing, memory: vec![(in0, f.on_stack()), (in1, g.on_stack())], } } #[test] fn test_mul_fp12() -> Result<()> { let out: usize = 224; let mut rng = rand::thread_rng(); let f: Fp12 = rng.gen::>(); let g: Fp12 = rng.gen::>(); let h: Fp12 = gen_fp12_sparse(&mut rng); let setup_normal: InterpreterMemoryInitialization = setup_mul_fp12_test(out, f, g, "mul_fp254_12"); let setup_sparse: InterpreterMemoryInitialization = setup_mul_fp12_test(out, f, h, "mul_fp254_12_sparse"); let setup_square: InterpreterMemoryInitialization = setup_mul_fp12_test(out, f, f, "square_fp254_12"); let intrptr_normal: Interpreter = run_interpreter_with_memory(setup_normal).unwrap(); let intrptr_sparse: Interpreter = run_interpreter_with_memory(setup_sparse).unwrap(); let intrptr_square: Interpreter = run_interpreter_with_memory(setup_square).unwrap(); let out_normal: Vec = intrptr_normal.extract_kernel_memory(BnPairing, out..out + 12); let out_sparse: Vec = intrptr_sparse.extract_kernel_memory(BnPairing, out..out + 12); let out_square: Vec = intrptr_square.extract_kernel_memory(BnPairing, out..out + 12); let exp_normal: Vec = (f * g).on_stack(); let exp_sparse: Vec = (f * h).on_stack(); let exp_square: Vec = (f * f).on_stack(); assert_eq!(out_normal, exp_normal); assert_eq!(out_sparse, exp_sparse); assert_eq!(out_square, exp_square); Ok(()) } fn setup_frob_fp6_test(f: Fp6, n: usize) -> InterpreterMemoryInitialization { InterpreterMemoryInitialization { label: String::from("test_frob_fp254_6_") + &(n.to_string()), stack: f.on_stack(), segment: BnPairing, memory: vec![], } } #[test] fn test_frob_fp6() -> Result<()> { let mut rng = rand::thread_rng(); let f: Fp6 = rng.gen::>(); for n in 1..4 { let setup_frob = setup_frob_fp6_test(f, n); let intrptr_frob: Interpreter = run_interpreter_with_memory(setup_frob).unwrap(); let out_frob: Vec = extract_stack(intrptr_frob); let exp_frob: Vec = f.frob(n).on_stack(); assert_eq!(out_frob, exp_frob); } Ok(()) } fn setup_frob_fp12_test(ptr: usize, f: Fp12, n: usize) -> InterpreterMemoryInitialization { InterpreterMemoryInitialization { label: String::from("test_frob_fp254_12_") + &(n.to_string()), stack: vec![U256::from(ptr)], segment: BnPairing, memory: vec![(ptr, f.on_stack())], } } #[test] fn test_frob_fp12() -> Result<()> { let ptr: usize = 200; let mut rng = rand::thread_rng(); let f: Fp12 = rng.gen::>(); for n in [1, 2, 3, 6] { let setup_frob = setup_frob_fp12_test(ptr, f, n); let intrptr_frob: Interpreter = run_interpreter_with_memory(setup_frob).unwrap(); let out_frob: Vec = intrptr_frob.extract_kernel_memory(BnPairing, ptr..ptr + 12); let exp_frob: Vec = f.frob(n).on_stack(); assert_eq!(out_frob, exp_frob); } Ok(()) } #[test] fn test_inv_fp12() -> Result<()> { let ptr: usize = 200; let inv: usize = 212; let mut rng = rand::thread_rng(); let f: Fp12 = rng.gen::>(); let setup = InterpreterMemoryInitialization { label: "inv_fp254_12".to_string(), stack: vec![U256::from(ptr), U256::from(inv), U256::from(0xdeadbeefu32)], segment: BnPairing, memory: vec![(ptr, f.on_stack())], }; let interpreter: Interpreter = run_interpreter_with_memory(setup).unwrap(); let output: Vec = interpreter.extract_kernel_memory(BnPairing, inv..inv + 12); let expected: Vec = f.inv().on_stack(); assert_eq!(output, expected); Ok(()) } #[test] fn test_invariant_exponent() -> Result<()> { let ptr: usize = 200; let mut rng = rand::thread_rng(); let f: Fp12 = rng.gen::>(); let setup = InterpreterMemoryInitialization { label: "bn254_invariant_exponent".to_string(), stack: vec![U256::from(ptr), U256::from(0xdeadbeefu32)], segment: BnPairing, memory: vec![(ptr, f.on_stack())], }; let interpreter: Interpreter = run_interpreter_with_memory(setup).unwrap(); let output: Vec = interpreter.extract_kernel_memory(BnPairing, ptr..ptr + 12); let expected: Vec = invariant_exponent(f).on_stack(); assert_eq!(output, expected); Ok(()) } // The curve is cyclic with generator (1, 2) pub const CURVE_GENERATOR: Curve = { Curve { x: BN254 { val: U256::one() }, y: BN254 { val: U256([2, 0, 0, 0]), }, } }; // The twisted curve is cyclic with generator (x, y) as follows pub const TWISTED_GENERATOR: TwistedCurve = { TwistedCurve { x: Fp2 { re: BN254 { val: U256([ 0x46debd5cd992f6ed, 0x674322d4f75edadd, 0x426a00665e5c4479, 0x1800deef121f1e76, ]), }, im: BN254 { val: U256([ 0x97e485b7aef312c2, 0xf1aa493335a9e712, 0x7260bfb731fb5d25, 0x198e9393920d483a, ]), }, }, y: Fp2 { re: BN254 { val: U256([ 0x4ce6cc0166fa7daa, 0xe3d1e7690c43d37b, 0x4aab71808dcb408f, 0x12c85ea5db8c6deb, ]), }, im: BN254 { val: U256([ 0x55acdadcd122975b, 0xbc4b313370b38ef3, 0xec9e99ad690c3395, 0x090689d0585ff075, ]), }, }, } }; #[test] fn test_miller() -> Result<()> { let ptr: usize = 200; let out: usize = 206; let inputs: Vec = vec![ CURVE_GENERATOR.x.val, CURVE_GENERATOR.y.val, TWISTED_GENERATOR.x.re.val, TWISTED_GENERATOR.x.im.val, TWISTED_GENERATOR.y.re.val, TWISTED_GENERATOR.y.im.val, ]; let setup = InterpreterMemoryInitialization { label: "bn254_miller".to_string(), stack: vec![U256::from(ptr), U256::from(out), U256::from(0xdeadbeefu32)], segment: BnPairing, memory: vec![(ptr, inputs)], }; let interpreter = run_interpreter_with_memory(setup).unwrap(); let output: Vec = interpreter.extract_kernel_memory(BnPairing, out..out + 12); let expected = miller_loop(CURVE_GENERATOR, TWISTED_GENERATOR).on_stack(); assert_eq!(output, expected); Ok(()) } #[test] fn test_tate() -> Result<()> { let ptr: usize = 200; let out: usize = 206; let inputs: Vec = vec![ CURVE_GENERATOR.x.val, CURVE_GENERATOR.y.val, TWISTED_GENERATOR.x.re.val, TWISTED_GENERATOR.x.im.val, TWISTED_GENERATOR.y.re.val, TWISTED_GENERATOR.y.im.val, ]; let setup = InterpreterMemoryInitialization { label: "bn254_tate".to_string(), stack: vec![U256::from(ptr), U256::from(out), U256::from(0xdeadbeefu32)], segment: BnPairing, memory: vec![(ptr, inputs)], }; let interpreter = run_interpreter_with_memory(setup).unwrap(); let output: Vec = interpreter.extract_kernel_memory(BnPairing, out..out + 12); let expected = tate(CURVE_GENERATOR, TWISTED_GENERATOR).on_stack(); assert_eq!(output, expected); Ok(()) }