// Copyright (C) 2019-2020 Aleo Systems Inc. // This file is part of the Leo library. // The Leo library is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 3 of the License, or // (at your option) any later version. // The Leo library is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // You should have received a copy of the GNU General Public License // along with the Leo library. If not, see . use leo_gadgets::{arithmetic::*, Int16}; use snarkos_models::{ curves::{One, Zero}, gadgets::{ r1cs::{ConstraintSystem, Fr, TestConstraintSystem}, utilities::{alloc::AllocGadget, boolean::Boolean}, }, }; use rand::{Rng, SeedableRng}; use rand_xorshift::XorShiftRng; use std::i16; fn check_all_constant_bits(expected: i16, actual: Int16) { for (i, b) in actual.bits.iter().enumerate() { // shift value by i let mask = 1 << i as i16; let result = expected & mask; match b { &Boolean::Is(_) => panic!(), &Boolean::Not(_) => panic!(), &Boolean::Constant(b) => { let bit = result == mask; assert_eq!(b, bit); } } } } fn check_all_allocated_bits(expected: i16, actual: Int16) { for (i, b) in actual.bits.iter().enumerate() { // shift value by i let mask = 1 << i as i16; let result = expected & mask; match b { &Boolean::Is(ref b) => { let bit = result == mask; assert_eq!(b.get_value().unwrap(), bit); } &Boolean::Not(ref b) => { let bit = result == mask; assert_eq!(!b.get_value().unwrap(), bit); } &Boolean::Constant(_) => unreachable!(), } } } #[test] fn test_int16_constant_and_alloc() { let mut rng = XorShiftRng::seed_from_u64(1231275789u64); for _ in 0..1000 { let mut cs = TestConstraintSystem::::new(); let a: i16 = rng.gen(); let a_const = Int16::constant(a); assert!(a_const.value == Some(a)); check_all_constant_bits(a, a_const); let a_bit = Int16::alloc(cs.ns(|| "a_bit"), || Ok(a)).unwrap(); assert!(cs.is_satisfied()); assert!(a_bit.value == Some(a)); check_all_allocated_bits(a, a_bit); } } #[test] fn test_int16_add_constants() { let mut rng = XorShiftRng::seed_from_u64(1231275789u64); for _ in 0..1000 { let mut cs = TestConstraintSystem::::new(); let a: i16 = rng.gen(); let b: i16 = rng.gen(); let expected = match a.checked_add(b) { Some(valid) => valid, None => continue, }; let a_bit = Int16::constant(a); let b_bit = Int16::constant(b); let r = a_bit.add(cs.ns(|| "addition"), &b_bit).unwrap(); assert!(r.value == Some(expected)); check_all_constant_bits(expected, r); } } #[test] fn test_int16_add() { let mut rng = XorShiftRng::seed_from_u64(1231275789u64); for _ in 0..1000 { let mut cs = TestConstraintSystem::::new(); let a: i16 = rng.gen(); let b: i16 = rng.gen(); let expected = match a.checked_add(b) { Some(valid) => valid, None => continue, }; let a_bit = Int16::alloc(cs.ns(|| "a_bit"), || Ok(a)).unwrap(); let b_bit = Int16::alloc(cs.ns(|| "b_bit"), || Ok(b)).unwrap(); let r = a_bit.add(cs.ns(|| "addition"), &b_bit).unwrap(); assert!(cs.is_satisfied()); assert!(r.value == Some(expected)); check_all_allocated_bits(expected, r); // Flip a bit_gadget and see if the addition constraint still works if cs.get("addition/result bit_gadget 0/boolean").is_zero() { cs.set("addition/result bit_gadget 0/boolean", Fr::one()); } else { cs.set("addition/result bit_gadget 0/boolean", Fr::zero()); } assert!(!cs.is_satisfied()); } } #[test] fn test_int16_sub_constants() { let mut rng = XorShiftRng::seed_from_u64(1231275789u64); for _ in 0..1000 { let mut cs = TestConstraintSystem::::new(); let a: i16 = rng.gen(); let b: i16 = rng.gen(); if b.checked_neg().is_none() { // negate with overflows will fail: -128 continue; } let expected = match a.checked_sub(b) { // subtract with overflow will fail: -0 Some(valid) => valid, None => continue, }; let a_bit = Int16::constant(a); let b_bit = Int16::constant(b); let r = a_bit.sub(cs.ns(|| "subtraction"), &b_bit).unwrap(); assert!(r.value == Some(expected)); check_all_constant_bits(expected, r); } } #[test] fn test_int16_sub() { let mut rng = XorShiftRng::seed_from_u64(1231275789u64); for _ in 0..1000 { let mut cs = TestConstraintSystem::::new(); let a: i16 = rng.gen(); let b: i16 = rng.gen(); if b.checked_neg().is_none() { // negate with overflows will fail: -128 continue; } let expected = match a.checked_sub(b) { // subtract with overflow will fail: -0 Some(valid) => valid, None => continue, }; let a_bit = Int16::alloc(cs.ns(|| "a_bit"), || Ok(a)).unwrap(); let b_bit = Int16::alloc(cs.ns(|| "b_bit"), || Ok(b)).unwrap(); let r = a_bit.sub(cs.ns(|| "subtraction"), &b_bit).unwrap(); assert!(cs.is_satisfied()); assert!(r.value == Some(expected)); check_all_allocated_bits(expected, r); // Flip a bit_gadget and see if the subtraction constraint still works if cs .get("subtraction/add_complement/result bit_gadget 0/boolean") .is_zero() { cs.set("subtraction/add_complement/result bit_gadget 0/boolean", Fr::one()); } else { cs.set("subtraction/add_complement/result bit_gadget 0/boolean", Fr::zero()); } assert!(!cs.is_satisfied()); } } #[test] fn test_int16_mul_constants() { let mut rng = XorShiftRng::seed_from_u64(1231275789u64); for _ in 0..100 { let mut cs = TestConstraintSystem::::new(); let max = i8::MAX as i16; let min = i8::MIN as i16; let a: i16 = rng.gen_range(min, max); let b: i16 = rng.gen_range(min, max); let expected = match a.checked_mul(b) { Some(valid) => valid, None => continue, }; let a_bit = Int16::constant(a); let b_bit = Int16::constant(b); let r = a_bit.mul(cs.ns(|| "multiplication"), &b_bit).unwrap(); assert!(r.value == Some(expected)); check_all_constant_bits(expected, r); } } #[test] fn test_int16_mul() { let mut rng = XorShiftRng::seed_from_u64(1231275789u64); for _ in 0..50 { let mut cs = TestConstraintSystem::::new(); let max = i8::MAX as i16; let min = i8::MIN as i16; let a: i16 = rng.gen_range(min, max); let b: i16 = rng.gen_range(min, max); let expected = match a.checked_mul(b) { Some(valid) => valid, None => continue, }; let a_bit = Int16::alloc(cs.ns(|| "a_bit"), || Ok(a)).unwrap(); let b_bit = Int16::alloc(cs.ns(|| "b_bit"), || Ok(b)).unwrap(); let r = a_bit.mul(cs.ns(|| "multiplication"), &b_bit).unwrap(); assert!(cs.is_satisfied()); assert!(r.value == Some(expected)); check_all_allocated_bits(expected, r); // Flip a bit_gadget and see if the multiplication constraint still works if cs.get("multiplication/result bit_gadget 0/boolean").is_zero() { cs.set("multiplication/result bit_gadget 0/boolean", Fr::one()); } else { cs.set("multiplication/result bit_gadget 0/boolean", Fr::zero()); } assert!(!cs.is_satisfied()); } } #[test] fn test_int16_div_constants() { let mut rng = XorShiftRng::seed_from_u64(1231275789u64); for _ in 0..100 { let mut cs = TestConstraintSystem::::new(); let a: i16 = rng.gen(); let b: i16 = rng.gen(); if a.checked_neg().is_none() { return; } let expected = match a.checked_div(b) { Some(valid) => valid, None => return, }; let a_bit = Int16::constant(a); let b_bit = Int16::constant(b); let r = a_bit.div(cs.ns(|| "division"), &b_bit).unwrap(); assert!(r.value == Some(expected)); check_all_constant_bits(expected, r); } } #[test] fn test_int16_div() { let mut rng = XorShiftRng::seed_from_u64(1231275789u64); for _ in 0..10 { let mut cs = TestConstraintSystem::::new(); let a: i16 = rng.gen(); let b: i16 = rng.gen(); if a.checked_neg().is_none() { continue; } let expected = match a.checked_div(b) { Some(valid) => valid, None => return, }; let a_bit = Int16::alloc(cs.ns(|| "a_bit"), || Ok(a)).unwrap(); let b_bit = Int16::alloc(cs.ns(|| "b_bit"), || Ok(b)).unwrap(); let r = a_bit.div(cs.ns(|| "division"), &b_bit).unwrap(); assert!(cs.is_satisfied()); assert!(r.value == Some(expected)); check_all_allocated_bits(expected, r); } } #[test] fn test_int16_pow_constants() { let mut rng = XorShiftRng::seed_from_u64(1231275789u64); for _ in 0..10 { let mut cs = TestConstraintSystem::::new(); let a: i16 = rng.gen_range(-16, 16); let b: i16 = rng.gen_range(-4, 4); let expected = match a.checked_pow(b as u32) { Some(valid) => valid, None => continue, }; let a_bit = Int16::constant(a); let b_bit = Int16::constant(b); let r = a_bit.pow(cs.ns(|| "exponentiation"), &b_bit).unwrap(); assert!(r.value == Some(expected)); check_all_constant_bits(expected, r); } } #[test] fn test_int16_pow() { let mut rng = XorShiftRng::seed_from_u64(1231275789u64); for _ in 0..3 { let mut cs = TestConstraintSystem::::new(); let a: i16 = rng.gen_range(-16, 16); let b: i16 = rng.gen_range(-4, 4); let expected = match a.checked_pow(b as u32) { Some(valid) => valid, None => continue, }; let a_bit = Int16::alloc(cs.ns(|| "a_bit"), || Ok(a)).unwrap(); let b_bit = Int16::alloc(cs.ns(|| "b_bit"), || Ok(b)).unwrap(); let r = a_bit.pow(cs.ns(|| "exponentiation"), &b_bit).unwrap(); assert!(cs.is_satisfied()); assert!(r.value == Some(expected)); check_all_allocated_bits(expected, r); // Flip a bit_gadget and see if the exponentiation constraint still works if cs .get("exponentiation/multiply_by_self_0/result bit_gadget 0/boolean") .is_zero() { cs.set( "exponentiation/multiply_by_self_0/result bit_gadget 0/boolean", Fr::one(), ); } else { cs.set( "exponentiation/multiply_by_self_0/result bit_gadget 0/boolean", Fr::zero(), ); } assert!(!cs.is_satisfied()); } }