// Copyright 2020 Parity Technologies // // Licensed under the Apache License, Version 2.0 or the MIT license // , at your // option. This file may not be copied, modified, or distributed // except according to those terms. use core::{convert::TryInto, str::FromStr, u64::MAX}; use crunchy::unroll; use uint::{construct_uint, overflowing, FromDecStrErr}; construct_uint! { pub struct U256(4); } construct_uint! { pub struct U512(8); } #[cfg(feature = "std")] #[test] fn hash_impl_is_the_same_as_for_a_slice() { use core::hash::{Hash, Hasher as _}; use std::collections::hash_map::DefaultHasher; let uint_hash = { let mut h = DefaultHasher::new(); let uint = U256::from(123u64); Hash::hash(&uint, &mut h); h.finish() }; let slice_hash = { let mut h = DefaultHasher::new(); Hash::hash(&[123u64, 0, 0, 0], &mut h); h.finish() }; assert_eq!(uint_hash, slice_hash); } // https://github.com/paritytech/parity-common/issues/420 #[test] fn const_matching_works() { const ONE: U256 = U256([1, 0, 0, 0]); match U256::zero() { ONE => unreachable!(), _ => {}, } } #[test] fn max() { let max = U256::MAX; assert_eq!(max.0, [0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF]); let max = U512::MAX; assert_eq!( max.0, [ 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF ] ); } #[test] fn one() { let one = U256::one(); assert_eq!(one.0, [1, 0, 0, 0]); let one = U512::one(); assert_eq!(one.0, [1, 0, 0, 0, 0, 0, 0, 0]); let any = U256::from(123456789); assert_eq!(any * U256::one(), any); let any = U512::from(123456789); assert_eq!(any * U512::one(), any); } #[test] #[allow(deprecated)] fn max_value() { let max = U256::max_value(); assert_eq!(max.0, [0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF]); let max = U512::max_value(); assert_eq!( max.0, [ 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF ] ); } #[test] fn u128_conversions() { let mut a = U256::from(u128::max_value()); assert_eq!(a.low_u128(), u128::max_value()); a += 2u128.into(); assert_eq!(a.low_u128(), 1u128); a -= 3u128.into(); assert_eq!(a.low_u128(), u128::max_value() - 1); } #[test] fn uint256_checked_ops() { let z = U256::from(0); let a = U256::from(10); let b = !U256::from(1); assert_eq!(U256::from(10).checked_pow(U256::from(0)), Some(U256::from(1))); assert_eq!(U256::from(10).checked_pow(U256::from(1)), Some(U256::from(10))); assert_eq!(U256::from(10).checked_pow(U256::from(2)), Some(U256::from(100))); assert_eq!(U256::from(10).checked_pow(U256::from(3)), Some(U256::from(1000))); assert_eq!(U256::from(10).checked_pow(U256::from(20)), Some(U256::exp10(20))); assert_eq!(U256::from(2).checked_pow(U256::from(0x100)), None); assert_eq!(U256::MAX.checked_pow(U256::from(2)), None); assert_eq!(a.checked_add(b), None); assert_eq!(a.checked_add(a), Some(20.into())); assert_eq!(a.checked_sub(b), None); assert_eq!(a.checked_sub(a), Some(0.into())); assert_eq!(a.checked_mul(b), None); assert_eq!(a.checked_mul(a), Some(100.into())); assert_eq!(a.checked_div(z), None); assert_eq!(a.checked_div(a), Some(1.into())); assert_eq!(a.checked_rem(z), None); assert_eq!(a.checked_rem(a), Some(0.into())); assert_eq!(a.checked_neg(), None); assert_eq!(z.checked_neg(), Some(z)); } #[test] fn uint256_abs_diff() { let zero = U256::zero(); let max = U256::MAX; assert_eq!(zero.abs_diff(zero), zero); assert_eq!(max.abs_diff(max), zero); assert_eq!(zero.abs_diff(max), max); assert_eq!(max.abs_diff(zero), max); } #[test] fn uint256_from() { let e = U256([10, 0, 0, 0]); // test unsigned initialization let ua = U256::from(10u8); let ub = U256::from(10u16); let uc = U256::from(10u32); let ud = U256::from(10u64); assert_eq!(e, ua); assert_eq!(e, ub); assert_eq!(e, uc); assert_eq!(e, ud); // test initialization from bytes let va = U256::from_big_endian(&[10u8][..]); assert_eq!(e, va); // more tests for initialization from bytes assert_eq!(U256([0x1010, 0, 0, 0]), U256::from_big_endian(&[0x10u8, 0x10][..])); assert_eq!(U256([0x12f0, 0, 0, 0]), U256::from_big_endian(&[0x12u8, 0xf0][..])); assert_eq!(U256([0x12f0, 0, 0, 0]), U256::from_big_endian(&[0, 0x12u8, 0xf0][..])); assert_eq!(U256([0x12f0, 0, 0, 0]), U256::from_big_endian(&[0, 0, 0, 0, 0, 0, 0, 0x12u8, 0xf0][..])); assert_eq!(U256([0x12f0, 1, 0, 0]), U256::from_big_endian(&[1, 0, 0, 0, 0, 0, 0, 0x12u8, 0xf0][..])); assert_eq!( U256([0x12f0, 1, 0x0910203040506077, 0x8090a0b0c0d0e0f0]), U256::from_big_endian( &[ 0x80, 0x90, 0xa0, 0xb0, 0xc0, 0xd0, 0xe0, 0xf0, 0x09, 0x10, 0x20, 0x30, 0x40, 0x50, 0x60, 0x77, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0x12u8, 0xf0 ][..] ) ); assert_eq!( U256([0x00192437100019fa, 0x243710, 0, 0]), U256::from_big_endian(&[0x24u8, 0x37, 0x10, 0, 0x19, 0x24, 0x37, 0x10, 0, 0x19, 0xfa][..]) ); // test initializtion from string let sa = U256::from_str("0a").unwrap(); let sa2 = U256::from_str("0x0a").unwrap(); assert_eq!(sa2, sa); assert_eq!(e, sa); assert_eq!(U256([0, 0, 0, 0]), U256::from_str("").unwrap()); assert_eq!(U256([0x1, 0, 0, 0]), U256::from_str("1").unwrap()); assert_eq!(U256([0x101, 0, 0, 0]), U256::from_str("101").unwrap()); assert_eq!(U256([0x1010, 0, 0, 0]), U256::from_str("1010").unwrap()); assert_eq!(U256([0x12f0, 0, 0, 0]), U256::from_str("12f0").unwrap()); assert_eq!(U256([0x12f0, 0, 0, 0]), U256::from_str("0000000012f0").unwrap()); assert_eq!(U256([0x12f0, 1, 0, 0]), U256::from_str("0100000000000012f0").unwrap()); assert_eq!( U256([0x12f0, 1, 0x0910203040506077, 0x8090a0b0c0d0e0f0]), U256::from_str("8090a0b0c0d0e0f00910203040506077000000000000000100000000000012f0").unwrap() ); // This string contains more bits than what fits in a U256. assert!(U256::from_str("000000000000000000000000000000000000000000000000000000000000000000").is_err()); assert!(U256::from_str("100000000000000000000000000000000000000000000000000000000000000000").is_err()); } #[test] fn uint256_try_into_primitives() { macro_rules! try_into_uint_primitive_ok { ($primitive: ty) => { assert_eq!(U256::from(10).try_into() as Result<$primitive, _>, Ok(<$primitive>::from(10u8))); }; } try_into_uint_primitive_ok!(u8); try_into_uint_primitive_ok!(u16); try_into_uint_primitive_ok!(u32); try_into_uint_primitive_ok!(usize); try_into_uint_primitive_ok!(u64); try_into_uint_primitive_ok!(u128); macro_rules! try_into_iint_primitive_ok { ($primitive: ty) => { assert_eq!(U256::from(10).try_into() as Result<$primitive, _>, Ok(<$primitive>::from(10i8))); }; } try_into_iint_primitive_ok!(i8); try_into_iint_primitive_ok!(i16); try_into_iint_primitive_ok!(i32); try_into_iint_primitive_ok!(isize); try_into_iint_primitive_ok!(i64); try_into_iint_primitive_ok!(i128); macro_rules! try_into_primitive_err { ($small: ty, $big: ty) => { assert_eq!( U256::from(<$small>::max_value() as $big + 1).try_into() as Result<$small, _>, Err(concat!("integer overflow when casting to ", stringify!($small))) ); }; } try_into_primitive_err!(u8, u16); try_into_primitive_err!(u16, u32); try_into_primitive_err!(u32, u64); try_into_primitive_err!(usize, u128); try_into_primitive_err!(u64, u128); assert_eq!(U256([0, 0, 1, 0]).try_into() as Result, Err("integer overflow when casting to u128")); try_into_primitive_err!(i8, i16); try_into_primitive_err!(i16, i32); try_into_primitive_err!(i32, i64); try_into_primitive_err!(isize, i128); try_into_primitive_err!(i64, i128); try_into_primitive_err!(i128, u128); assert_eq!(U256([0, 0, 1, 0]).try_into() as Result, Err("integer overflow when casting to i128")); } #[test] fn uint256_to() { let hex = "8090a0b0c0d0e0f00910203040506077583a2cf8264910e1436bda32571012f0"; let uint = U256::from_str(hex).unwrap(); let bytes = uint.to_big_endian(); let uint2 = U256::from_big_endian(&bytes[..]); assert_eq!(uint, uint2); } #[test] fn uint256_bits_test() { assert_eq!(U256::from(0u64).bits(), 0); assert_eq!(U256::from(255u64).bits(), 8); assert_eq!(U256::from(256u64).bits(), 9); assert_eq!(U256::from(300u64).bits(), 9); assert_eq!(U256::from(60000u64).bits(), 16); assert_eq!(U256::from(70000u64).bits(), 17); //// Try to read the following lines out loud quickly let mut shl = U256::from(70000u64); shl = shl << 100; assert_eq!(shl.bits(), 117); shl = shl << 100; assert_eq!(shl.bits(), 217); shl = shl << 100; assert_eq!(shl.bits(), 0); //// Bit set check //// 01010 assert!(!U256::from(10u8).bit(0)); assert!(U256::from(10u8).bit(1)); assert!(!U256::from(10u8).bit(2)); assert!(U256::from(10u8).bit(3)); assert!(!U256::from(10u8).bit(4)); //// byte check assert_eq!(U256::from(10u8).byte(0), 10); assert_eq!(U256::from(0xffu64).byte(0), 0xff); assert_eq!(U256::from(0xffu64).byte(1), 0); assert_eq!(U256::from(0x01ffu64).byte(0), 0xff); assert_eq!(U256::from(0x01ffu64).byte(1), 0x1); assert_eq!(U256([0u64, 0xfc, 0, 0]).byte(8), 0xfc); assert_eq!(U256([0u64, 0, 0, u64::max_value()]).byte(31), 0xff); assert_eq!(U256([0u64, 0, 0, (u64::max_value() >> 8) + 1]).byte(31), 0x01); } #[test] fn uint256_comp_test() { let small = U256([10u64, 0, 0, 0]); let big = U256([0x8C8C3EE70C644118u64, 0x0209E7378231E632, 0, 0]); let bigger = U256([0x9C8C3EE70C644118u64, 0x0209E7378231E632, 0, 0]); let biggest = U256([0x5C8C3EE70C644118u64, 0x0209E7378231E632, 0, 1]); assert!(small < big); assert!(big < bigger); assert!(bigger < biggest); assert!(bigger <= biggest); assert!(biggest <= biggest); assert!(bigger >= big); assert!(bigger >= small); assert!(small <= small); assert_eq!(small, small); assert_eq!(biggest, biggest); assert_ne!(big, biggest); assert_ne!(big, bigger); } #[test] fn uint256_arithmetic_test() { let init = U256::from(0xDEADBEEFDEADBEEFu64); let copy = init; let add = init + copy; assert_eq!(add, U256([0xBD5B7DDFBD5B7DDEu64, 1, 0, 0])); // Bitshifts let shl = add << 88; assert_eq!(shl, U256([0u64, 0xDFBD5B7DDE000000, 0x1BD5B7D, 0])); let shr = shl >> 40; assert_eq!(shr, U256([0x7DDE000000000000u64, 0x0001BD5B7DDFBD5B, 0, 0])); // Increment let incr = shr + U256::from(1u64); assert_eq!(incr, U256([0x7DDE000000000001u64, 0x0001BD5B7DDFBD5B, 0, 0])); // Subtraction let sub = overflowing!(incr.overflowing_sub(init)); assert_eq!(sub, U256([0x9F30411021524112u64, 0x0001BD5B7DDFBD5A, 0, 0])); // Multiplication let mult = sub * 300u32; assert_eq!(mult, U256([0x8C8C3EE70C644118u64, 0x0209E7378231E632, 0, 0])); // Division assert_eq!(U256::from(105u8) / U256::from(5u8), U256::from(21u8)); let div = mult / U256::from(300u16); assert_eq!(div, U256([0x9F30411021524112u64, 0x0001BD5B7DDFBD5A, 0, 0])); let a = U256::from_str("ff000000000000000000000000000000000000000000000000000000000000d1").unwrap(); let b = U256::from_str("00ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff2e").unwrap(); println!("{:x}", a); println!("{:x}", b); assert_eq!(!a, b); assert_eq!(a, !b); } #[test] fn uint256_simple_mul() { let a = U256::from_str("10000000000000000").unwrap(); let b = U256::from_str("10000000000000000").unwrap(); let c = U256::from_str("100000000000000000000000000000000").unwrap(); println!("Multiplying"); let result = a.overflowing_mul(b); println!("Got result"); assert_eq!(result, (c, false)) } #[test] fn uint256_extreme_bitshift_test() { //// Shifting a u64 by 64 bits gives an undefined value, so make sure that //// we're doing the Right Thing here let init = U256::from(0xDEADBEEFDEADBEEFu64); assert_eq!(init << 64, U256([0, 0xDEADBEEFDEADBEEF, 0, 0])); let add = (init << 64) + init; assert_eq!(add, U256([0xDEADBEEFDEADBEEF, 0xDEADBEEFDEADBEEF, 0, 0])); assert_eq!(add >> 0, U256([0xDEADBEEFDEADBEEF, 0xDEADBEEFDEADBEEF, 0, 0])); assert_eq!(add << 0, U256([0xDEADBEEFDEADBEEF, 0xDEADBEEFDEADBEEF, 0, 0])); assert_eq!(add >> 64, U256([0xDEADBEEFDEADBEEF, 0, 0, 0])); assert_eq!(add << 64, U256([0, 0xDEADBEEFDEADBEEF, 0xDEADBEEFDEADBEEF, 0])); } #[test] fn uint256_exp10() { assert_eq!(U256::exp10(0), U256::from(1u64)); println!("\none: {:?}", U256::from(1u64)); println!("ten: {:?}", U256::from(10u64)); assert_eq!(U256::from(2u64) * U256::from(10u64), U256::from(20u64)); assert_eq!(U256::exp10(1), U256::from(10u64)); assert_eq!(U256::exp10(2), U256::from(100u64)); assert_eq!(U256::exp10(5), U256::from(100000u64)); } #[test] fn uint256_mul32() { assert_eq!(U256::from(0u64) * 2u32, U256::from(0u64)); assert_eq!(U256::from(1u64) * 2u32, U256::from(2u64)); assert_eq!(U256::from(10u64) * 2u32, U256::from(20u64)); assert_eq!(U256::from(10u64) * 5u32, U256::from(50u64)); assert_eq!(U256::from(1000u64) * 50u32, U256::from(50000u64)); } #[test] fn uint256_pow() { assert_eq!(U256::from(10).pow(U256::from(0)), U256::from(1)); assert_eq!(U256::from(10).pow(U256::from(1)), U256::from(10)); assert_eq!(U256::from(10).pow(U256::from(2)), U256::from(100)); assert_eq!(U256::from(10).pow(U256::from(3)), U256::from(1000)); assert_eq!(U256::from(10).pow(U256::from(20)), U256::exp10(20)); } #[test] #[should_panic] fn uint256_pow_overflow_panic() { U256::from(2).pow(U256::from(0x100)); } #[test] fn should_format_and_debug_correctly() { let test = |x: usize, hex: &'static str, display: &'static str| { assert_eq!(format!("{}", U256::from(x)), display); // TODO: proper impl for Debug so we get this to pass: assert_eq!(format!("{:?}", U256::from(x)), format!("0x{}", hex)); assert_eq!(format!("{:?}", U256::from(x)), display); assert_eq!(format!("{:x}", U256::from(x)), hex); assert_eq!(format!("{:#x}", U256::from(x)), format!("0x{}", hex)); }; test(0x1, "1", "1"); test(0xf, "f", "15"); test(0x10, "10", "16"); test(0xff, "ff", "255"); test(0x100, "100", "256"); test(0xfff, "fff", "4095"); test(0x1000, "1000", "4096"); } #[test] pub fn display_u256() { let expected = "115792089237316195423570985008687907853269984665640564039457584007913129639935"; let value = U256::MAX; assert_eq!(format!("{}", value), expected); assert_eq!(format!("{:?}", value), expected); } #[test] pub fn display_u512() { let expected = "13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084095"; let value = U512::MAX; assert_eq!(format!("{}", value), expected); assert_eq!(format!("{:?}", value), expected); } #[test] fn uint256_overflowing_pow() { assert_eq!( U256::from(2).overflowing_pow(U256::from(0xff)), (U256::from_str("8000000000000000000000000000000000000000000000000000000000000000").unwrap(), false) ); assert_eq!(U256::from(2).overflowing_pow(U256::from(0x100)), (U256::zero(), true)); } #[test] fn uint256_mul1() { assert_eq!(U256::from(1u64) * U256::from(10u64), U256::from(10u64)); } #[test] fn uint256_mul2() { let a = U512::from_str("10000000000000000fffffffffffffffe").unwrap(); let b = U512::from_str("ffffffffffffffffffffffffffffffff").unwrap(); assert_eq!(a * b, U512::from_str("10000000000000000fffffffffffffffcffffffffffffffff0000000000000002").unwrap()); } #[test] fn uint256_overflowing_mul() { assert_eq!( U256::from_str("100000000000000000000000000000000") .unwrap() .overflowing_mul(U256::from_str("100000000000000000000000000000000").unwrap()), (U256::zero(), true) ); } #[test] fn uint512_mul() { assert_eq!( U512::from_str("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap() * U512::from_str("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap(), U512::from_str("3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff0000000000000000000000000000000000000000000000000000000000000001").unwrap() ); } #[test] fn uint256_mul_overflow() { assert_eq!( U256::from_str("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff") .unwrap() .overflowing_mul( U256::from_str("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap() ), (U256::from_str("1").unwrap(), true) ); } #[test] #[should_panic] #[allow(unused_must_use)] fn uint256_mul_overflow_panic() { U256::from_str("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap() * U256::from_str("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap(); } #[test] fn uint256_sub_overflow() { assert_eq!( U256::from_str("0").unwrap().overflowing_sub(U256::from_str("1").unwrap()), (U256::from_str("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap(), true) ); } #[test] fn uint256_neg_overflow() { assert_eq!(U256::from_str("0").unwrap().overflowing_neg(), (U256::from_str("0").unwrap(), false)); assert_eq!( U256::from_str("1").unwrap().overflowing_neg(), (U256::from_str("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap(), true) ); assert_eq!( U256::from_str("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff") .unwrap() .overflowing_neg(), (U256::from_str("1").unwrap(), true) ); assert_eq!( U256::from_str("8000000000000000000000000000000000000000000000000000000000000000") .unwrap() .overflowing_neg(), (U256::from_str("8000000000000000000000000000000000000000000000000000000000000000").unwrap(), true) ); assert_eq!( U256::from_str("ffffffffffffffff0000000000000000ffffffffffffffff0000000000000000") .unwrap() .overflowing_neg(), (U256::from_str("0000000000000000ffffffffffffffff00000000000000010000000000000000").unwrap(), true) ); assert_eq!( U256::from_str("0000000000000000ffffffffffffffff0000000000000000ffffffffffffffff") .unwrap() .overflowing_neg(), (U256::from_str("ffffffffffffffff0000000000000000ffffffffffffffff0000000000000001").unwrap(), true) ); } #[test] #[should_panic] #[allow(unused_must_use)] fn uint256_sub_overflow_panic() { U256::from_str("0").unwrap() - U256::from_str("1").unwrap(); } #[test] fn uint256_shl() { assert_eq!( U256::from_str("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap() << 4, U256::from_str("fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff0").unwrap() ); } #[test] fn uint256_shl_words() { assert_eq!( U256::from_str("0000000000000001ffffffffffffffffffffffffffffffffffffffffffffffff").unwrap() << 64, U256::from_str("ffffffffffffffffffffffffffffffffffffffffffffffff0000000000000000").unwrap() ); assert_eq!( U256::from_str("0000000000000000ffffffffffffffffffffffffffffffffffffffffffffffff").unwrap() << 64, U256::from_str("ffffffffffffffffffffffffffffffffffffffffffffffff0000000000000000").unwrap() ); } #[test] fn uint256_mul() { assert_eq!( U256::from_str("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff").unwrap() * U256::from_str("2").unwrap(), U256::from_str("fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe").unwrap() ); } #[test] fn uint256_div() { assert_eq!(U256::from(10u64) / U256::from(1u64), U256::from(10u64)); assert_eq!(U256::from(10u64) / U256::from(2u64), U256::from(5u64)); assert_eq!(U256::from(10u64) / U256::from(3u64), U256::from(3u64)); } #[test] fn uint256_rem() { assert_eq!(U256::from(10u64) % U256::from(1u64), U256::from(0u64)); assert_eq!(U256::from(10u64) % U256::from(3u64), U256::from(1u64)); } #[test] fn uint256_from_dec_str() { assert_eq!(U256::from_dec_str("10").unwrap(), U256::from(10u64)); assert_eq!(U256::from_dec_str("1024").unwrap(), U256::from(1024u64)); assert_eq!( U256::from_dec_str("115792089237316195423570985008687907853269984665640564039457584007913129639936"), Err(FromDecStrErr::InvalidLength) ); assert_eq!(U256::from_dec_str("0x11"), Err(FromDecStrErr::InvalidCharacter)); } #[test] fn display_uint() { let s = U256::from_dec_str("12345678987654321023456789").unwrap(); assert_eq!(format!("{}", s), "12345678987654321023456789"); assert_eq!(format!("{:x}", s), "a364c995584f929f39615"); assert_eq!(format!("{:X}", s), "A364C995584F929F39615"); assert_eq!(format!("{:032}", s), "00000012345678987654321023456789"); assert_eq!(format!("{:032x}", s), "00000000000a364c995584f929f39615"); assert_eq!(format!("{:032X}", s), "00000000000A364C995584F929F39615"); assert_eq!(format!("{:#032x}", s), "0x000000000a364c995584f929f39615"); assert_eq!(format!("{:#032X}", s), "0x000000000A364C995584F929F39615"); } #[test] fn display_uint_zero() { let s = U256::from(0); assert_eq!(format!("{}", s), "0"); assert_eq!(format!("{:x}", s), "0"); assert_eq!(format!("{:X}", s), "0"); assert_eq!(format!("{:032x}", s), "00000000000000000000000000000000"); assert_eq!(format!("{:032X}", s), "00000000000000000000000000000000"); assert_eq!(format!("{:#032x}", s), "0x000000000000000000000000000000"); assert_eq!(format!("{:#032X}", s), "0x000000000000000000000000000000"); } #[test] fn u512_multi_adds() { let (result, _) = U512([0, 0, 0, 0, 0, 0, 0, 0]).overflowing_add(U512([0, 0, 0, 0, 0, 0, 0, 0])); assert_eq!(result, U512([0, 0, 0, 0, 0, 0, 0, 0])); let (result, _) = U512([1, 0, 0, 0, 0, 0, 0, 1]).overflowing_add(U512([1, 0, 0, 0, 0, 0, 0, 1])); assert_eq!(result, U512([2, 0, 0, 0, 0, 0, 0, 2])); let (result, _) = U512([0, 0, 0, 0, 0, 0, 0, 1]).overflowing_add(U512([0, 0, 0, 0, 0, 0, 0, 1])); assert_eq!(result, U512([0, 0, 0, 0, 0, 0, 0, 2])); let (result, _) = U512([0, 0, 0, 0, 0, 0, 2, 1]).overflowing_add(U512([0, 0, 0, 0, 0, 0, 3, 1])); assert_eq!(result, U512([0, 0, 0, 0, 0, 0, 5, 2])); let (result, _) = U512([1, 2, 3, 4, 5, 6, 7, 8]).overflowing_add(U512([9, 10, 11, 12, 13, 14, 15, 16])); assert_eq!(result, U512([10, 12, 14, 16, 18, 20, 22, 24])); let (_, overflow) = U512([0, 0, 0, 0, 0, 0, 2, 1]).overflowing_add(U512([0, 0, 0, 0, 0, 0, 3, 1])); assert!(!overflow); let (_, overflow) = U512([MAX, MAX, MAX, MAX, MAX, MAX, MAX, MAX]).overflowing_add(U512([MAX, MAX, MAX, MAX, MAX, MAX, MAX, MAX])); assert!(overflow); let (_, overflow) = U512([0, 0, 0, 0, 0, 0, 0, MAX]).overflowing_add(U512([0, 0, 0, 0, 0, 0, 0, MAX])); assert!(overflow); let (_, overflow) = U512([0, 0, 0, 0, 0, 0, 0, MAX]).overflowing_add(U512([0, 0, 0, 0, 0, 0, 0, 0])); assert!(!overflow); } #[test] fn u256_multi_adds() { let (result, _) = U256([0, 0, 0, 0]).overflowing_add(U256([0, 0, 0, 0])); assert_eq!(result, U256([0, 0, 0, 0])); let (result, _) = U256([0, 0, 0, 1]).overflowing_add(U256([0, 0, 0, 1])); assert_eq!(result, U256([0, 0, 0, 2])); let (result, overflow) = U256([0, 0, 2, 1]).overflowing_add(U256([0, 0, 3, 1])); assert_eq!(result, U256([0, 0, 5, 2])); assert!(!overflow); let (_, overflow) = U256([MAX, MAX, MAX, MAX]).overflowing_add(U256([MAX, MAX, MAX, MAX])); assert!(overflow); let (_, overflow) = U256([0, 0, 0, MAX]).overflowing_add(U256([0, 0, 0, MAX])); assert!(overflow); } #[test] fn u256_multi_subs() { let (result, _) = U256([0, 0, 0, 0]).overflowing_sub(U256([0, 0, 0, 0])); assert_eq!(result, U256([0, 0, 0, 0])); let (result, _) = U256([0, 0, 0, 1]).overflowing_sub(U256([0, 0, 0, 1])); assert_eq!(result, U256([0, 0, 0, 0])); let (_, overflow) = U256([0, 0, 2, 1]).overflowing_sub(U256([0, 0, 3, 1])); assert!(overflow); let (result, overflow) = U256([MAX, MAX, MAX, MAX]).overflowing_sub(U256([MAX / 2, MAX / 2, MAX / 2, MAX / 2])); assert!(!overflow); assert_eq!(U256([MAX / 2 + 1, MAX / 2 + 1, MAX / 2 + 1, MAX / 2 + 1]), result); let (result, overflow) = U256([0, 0, 0, 1]).overflowing_sub(U256([0, 0, 1, 0])); assert!(!overflow); assert_eq!(U256([0, 0, MAX, 0]), result); let (result, overflow) = U256([0, 0, 0, 1]).overflowing_sub(U256([1, 0, 0, 0])); assert!(!overflow); assert_eq!(U256([MAX, MAX, MAX, 0]), result); } #[test] fn u512_multi_subs() { let (result, _) = U512([0, 0, 0, 0, 0, 0, 0, 0]).overflowing_sub(U512([0, 0, 0, 0, 0, 0, 0, 0])); assert_eq!(result, U512([0, 0, 0, 0, 0, 0, 0, 0])); let (result, _) = U512([10, 9, 8, 7, 6, 5, 4, 3]).overflowing_sub(U512([9, 8, 7, 6, 5, 4, 3, 2])); assert_eq!(result, U512([1, 1, 1, 1, 1, 1, 1, 1])); let (_, overflow) = U512([10, 9, 8, 7, 6, 5, 4, 3]).overflowing_sub(U512([9, 8, 7, 6, 5, 4, 3, 2])); assert!(!overflow); let (_, overflow) = U512([9, 8, 7, 6, 5, 4, 3, 2]).overflowing_sub(U512([10, 9, 8, 7, 6, 5, 4, 3])); assert!(overflow); } #[test] fn u256_multi_carry_all() { let (result, _) = U256([MAX, 0, 0, 0]).overflowing_mul(U256([MAX, 0, 0, 0])); assert_eq!(U256([1, MAX - 1, 0, 0]), result); let (result, _) = U256([0, MAX, 0, 0]).overflowing_mul(U256([MAX, 0, 0, 0])); assert_eq!(U256([0, 1, MAX - 1, 0]), result); let (result, _) = U256([MAX, MAX, 0, 0]).overflowing_mul(U256([MAX, 0, 0, 0])); assert_eq!(U256([1, MAX, MAX - 1, 0]), result); let (result, _) = U256([MAX, 0, 0, 0]).overflowing_mul(U256([MAX, MAX, 0, 0])); assert_eq!(U256([1, MAX, MAX - 1, 0]), result); let (result, _) = U256([MAX, MAX, 0, 0]).overflowing_mul(U256([MAX, MAX, 0, 0])); assert_eq!(U256([1, 0, MAX - 1, MAX]), result); let (result, _) = U256([MAX, 0, 0, 0]).overflowing_mul(U256([MAX, MAX, MAX, 0])); assert_eq!(U256([1, MAX, MAX, MAX - 1]), result); let (result, _) = U256([MAX, MAX, MAX, 0]).overflowing_mul(U256([MAX, 0, 0, 0])); assert_eq!(U256([1, MAX, MAX, MAX - 1]), result); let (result, _) = U256([MAX, 0, 0, 0]).overflowing_mul(U256([MAX, MAX, MAX, MAX])); assert_eq!(U256([1, MAX, MAX, MAX]), result); let (result, _) = U256([MAX, MAX, MAX, MAX]).overflowing_mul(U256([MAX, 0, 0, 0])); assert_eq!(U256([1, MAX, MAX, MAX]), result); let (result, _) = U256([MAX, MAX, MAX, 0]).overflowing_mul(U256([MAX, MAX, 0, 0])); assert_eq!(U256([1, 0, MAX, MAX - 1]), result); let (result, _) = U256([MAX, MAX, 0, 0]).overflowing_mul(U256([MAX, MAX, MAX, 0])); assert_eq!(U256([1, 0, MAX, MAX - 1]), result); let (result, _) = U256([MAX, MAX, MAX, MAX]).overflowing_mul(U256([MAX, MAX, 0, 0])); assert_eq!(U256([1, 0, MAX, MAX]), result); let (result, _) = U256([MAX, MAX, 0, 0]).overflowing_mul(U256([MAX, MAX, MAX, MAX])); assert_eq!(U256([1, 0, MAX, MAX]), result); let (result, _) = U256([MAX, MAX, MAX, 0]).overflowing_mul(U256([MAX, MAX, MAX, 0])); assert_eq!(U256([1, 0, 0, MAX - 1]), result); let (result, _) = U256([MAX, MAX, MAX, 0]).overflowing_mul(U256([MAX, MAX, MAX, MAX])); assert_eq!(U256([1, 0, 0, MAX]), result); let (result, _) = U256([MAX, MAX, MAX, MAX]).overflowing_mul(U256([MAX, MAX, MAX, 0])); assert_eq!(U256([1, 0, 0, MAX]), result); let (result, _) = U256([0, 0, 0, MAX]).overflowing_mul(U256([0, 0, 0, MAX])); assert_eq!(U256([0, 0, 0, 0]), result); let (result, _) = U256([1, 0, 0, 0]).overflowing_mul(U256([0, 0, 0, MAX])); assert_eq!(U256([0, 0, 0, MAX]), result); let (result, _) = U256([MAX, MAX, MAX, MAX]).overflowing_mul(U256([MAX, MAX, MAX, MAX])); assert_eq!(U256([1, 0, 0, 0]), result); } #[test] fn u256_multi_muls() { let (result, _) = U256([0, 0, 0, 0]).overflowing_mul(U256([0, 0, 0, 0])); assert_eq!(U256([0, 0, 0, 0]), result); let (result, _) = U256([1, 0, 0, 0]).overflowing_mul(U256([1, 0, 0, 0])); assert_eq!(U256([1, 0, 0, 0]), result); let (result, _) = U256([5, 0, 0, 0]).overflowing_mul(U256([5, 0, 0, 0])); assert_eq!(U256([25, 0, 0, 0]), result); let (result, _) = U256([0, 5, 0, 0]).overflowing_mul(U256([0, 5, 0, 0])); assert_eq!(U256([0, 0, 25, 0]), result); let (result, _) = U256([0, 0, 0, 1]).overflowing_mul(U256([1, 0, 0, 0])); assert_eq!(U256([0, 0, 0, 1]), result); let (result, _) = U256([0, 0, 0, 5]).overflowing_mul(U256([2, 0, 0, 0])); assert_eq!(U256([0, 0, 0, 10]), result); let (result, _) = U256([0, 0, 1, 0]).overflowing_mul(U256([0, 5, 0, 0])); assert_eq!(U256([0, 0, 0, 5]), result); let (result, _) = U256([0, 0, 8, 0]).overflowing_mul(U256([0, 0, 7, 0])); assert_eq!(U256([0, 0, 0, 0]), result); let (result, _) = U256([2, 0, 0, 0]).overflowing_mul(U256([0, 5, 0, 0])); assert_eq!(U256([0, 10, 0, 0]), result); let (result, _) = U256([1, 0, 0, 0]).overflowing_mul(U256([0, 0, 0, MAX])); assert_eq!(U256([0, 0, 0, MAX]), result); } #[test] fn u256_multi_muls_overflow() { let (_, overflow) = U256([1, 0, 0, 0]).overflowing_mul(U256([0, 0, 0, 0])); assert!(!overflow); let (_, overflow) = U256([1, 0, 0, 0]).overflowing_mul(U256([0, 0, 0, MAX])); assert!(!overflow); let (_, overflow) = U256([0, 1, 0, 0]).overflowing_mul(U256([0, 0, 0, MAX])); assert!(overflow); let (_, overflow) = U256([0, 1, 0, 0]).overflowing_mul(U256([0, 1, 0, 0])); assert!(!overflow); let (_, overflow) = U256([0, 1, 0, MAX]).overflowing_mul(U256([0, 1, 0, MAX])); assert!(overflow); let (_, overflow) = U256([0, MAX, 0, 0]).overflowing_mul(U256([0, MAX, 0, 0])); assert!(!overflow); let (_, overflow) = U256([1, 0, 0, 0]).overflowing_mul(U256([10, 0, 0, 0])); assert!(!overflow); let (_, overflow) = U256([2, 0, 0, 0]).overflowing_mul(U256([0, 0, 0, MAX / 2])); assert!(!overflow); let (_, overflow) = U256([0, 0, 8, 0]).overflowing_mul(U256([0, 0, 7, 0])); assert!(overflow); } #[test] fn u512_div() { let fuzz_data = [ 0x38, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0xff, 0xff, 0xff, 0x7, 0x0, 0x0, 0x0, 0x0, 0xc1, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x8, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0xfe, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x80, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, ]; let a = U512::from_little_endian(&fuzz_data[..64]); let b = U512::from_little_endian(&fuzz_data[64..]); let (x, y) = (a / b, a % b); let (q, r) = a.div_mod(b); assert_eq!((x, y), (q, r)); } #[test] fn big_endian() { let source = U256([1, 0, 0, 0]); let mut target = vec![0u8; 32]; assert_eq!(source, U256::from(1)); source.write_as_big_endian(&mut target); assert_eq!( vec![ 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 1u8 ], target ); let source = U256([512, 0, 0, 0]); let mut target = vec![0u8; 32]; source.write_as_big_endian(&mut target); assert_eq!( vec![ 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 2u8, 0u8 ], target ); let source = U256([0, 512, 0, 0]); let mut target = vec![0u8; 32]; source.write_as_big_endian(&mut target); assert_eq!( vec![ 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 2u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8, 0u8 ], target ); let source = U256::from_str("0102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f20").unwrap(); source.write_as_big_endian(&mut target); assert_eq!( vec![ 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f, 0x20 ], target ); } #[test] fn u256_multi_muls2() { let (result, _) = U256([0, 0, 0, 0]).overflowing_mul(U256([0, 0, 0, 0])); assert_eq!(U256([0, 0, 0, 0]), result); let (result, _) = U256([1, 0, 0, 0]).overflowing_mul(U256([1, 0, 0, 0])); assert_eq!(U256([1, 0, 0, 0]), result); let (result, _) = U256([5, 0, 0, 0]).overflowing_mul(U256([5, 0, 0, 0])); assert_eq!(U256([25, 0, 0, 0]), result); let (result, _) = U256([0, 5, 0, 0]).overflowing_mul(U256([0, 5, 0, 0])); assert_eq!(U256([0, 0, 25, 0]), result); let (result, _) = U256([0, 0, 0, 1]).overflowing_mul(U256([1, 0, 0, 0])); assert_eq!(U256([0, 0, 0, 1]), result); let (result, _) = U256([0, 0, 0, 5]).overflowing_mul(U256([2, 0, 0, 0])); assert_eq!(U256([0, 0, 0, 10]), result); let (result, _) = U256([0, 0, 1, 0]).overflowing_mul(U256([0, 5, 0, 0])); assert_eq!(U256([0, 0, 0, 5]), result); let (result, _) = U256([0, 0, 8, 0]).overflowing_mul(U256([0, 0, 7, 0])); assert_eq!(U256([0, 0, 0, 0]), result); let (result, _) = U256([2, 0, 0, 0]).overflowing_mul(U256([0, 5, 0, 0])); assert_eq!(U256([0, 10, 0, 0]), result); let (result, _) = U256([1, 0, 0, 0]).overflowing_mul(U256([0, 0, 0, u64::max_value()])); assert_eq!(U256([0, 0, 0, u64::max_value()]), result); let x1: U256 = "0000000000000000000000000000000000000000000000000000012365124623".into(); let x2sqr_right: U256 = "000000000000000000000000000000000000000000014baeef72e0378e2328c9".into(); let x1sqr = x1 * x1; assert_eq!(x2sqr_right, x1sqr); let x1cube = x1sqr * x1; let x1cube_right: U256 = "0000000000000000000000000000000001798acde139361466f712813717897b".into(); assert_eq!(x1cube_right, x1cube); let x1quad = x1cube * x1; let x1quad_right: U256 = "000000000000000000000001adbdd6bd6ff027485484b97f8a6a4c7129756dd1".into(); assert_eq!(x1quad_right, x1quad); let x1penta = x1quad * x1; let x1penta_right: U256 = "00000000000001e92875ac24be246e1c57e0507e8c46cc8d233b77f6f4c72993".into(); assert_eq!(x1penta_right, x1penta); let x1septima = x1penta * x1; let x1septima_right: U256 = "00022cca1da3f6e5722b7d3cc5bbfb486465ebc5a708dd293042f932d7eee119".into(); assert_eq!(x1septima_right, x1septima); } #[test] fn example() { let mut val: U256 = 1023.into(); for _ in 0..200 { val = val * U256::from(2) } assert_eq!(&format!("{}", val), "1643897619276947051879427220465009342380213662639797070513307648"); } #[test] fn little_endian() { let number: U256 = "00022cca1da3f6e5722b7d3cc5bbfb486465ebc5a708dd293042f932d7eee119".into(); let expected = [ 0x19, 0xe1, 0xee, 0xd7, 0x32, 0xf9, 0x42, 0x30, 0x29, 0xdd, 0x08, 0xa7, 0xc5, 0xeb, 0x65, 0x64, 0x48, 0xfb, 0xbb, 0xc5, 0x3c, 0x7d, 0x2b, 0x72, 0xe5, 0xf6, 0xa3, 0x1d, 0xca, 0x2c, 0x02, 0x00, ]; let mut result = [0u8; 32]; number.write_as_little_endian(&mut result); assert_eq!(expected, result); } #[test] fn slice_roundtrip() { let raw = [ 1u8, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, ]; let u256 = U256::from_big_endian(&raw[..]); let mut new_raw = [0u8; 32]; u256.write_as_big_endian(&mut new_raw); assert_eq!(&raw, &new_raw); } #[test] fn slice_roundtrip_le() { let raw = [ 1u8, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, ]; let u256 = U256::from_little_endian(&raw[..]); let mut new_raw = [0u8; 32]; u256.write_as_little_endian(&mut new_raw); assert_eq!(&raw, &new_raw); } #[test] fn slice_roundtrip_le2() { let raw = [ 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, ]; let u256 = U256::from_little_endian(&raw[..]); let mut new_raw = [0u8; 32]; u256.write_as_little_endian(&mut new_raw); assert_eq!(&raw, &new_raw[..31]); } #[test] fn from_little_endian() { let source: [u8; 32] = [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; let number = U256::from_little_endian(&source[..]); assert_eq!(U256::from(1), number); } #[test] fn from_big_endian() { let source: [u8; 32] = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]; let number = U256::from_big_endian(&source[..]); assert_eq!(U256::from(1), number); let number = U256::from_big_endian(&[]); assert_eq!(U256::zero(), number); let number = U256::from_big_endian(&[1]); assert_eq!(U256::from(1), number); } #[test] fn into_fixed_array() { let expected: [u8; 32] = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]; let ary: [u8; 32] = U256::from(1).to_big_endian(); assert_eq!(ary, expected); } #[test] fn test_u256_from_fixed_array() { let ary = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 123]; let num = U256::from_big_endian(&ary); assert_eq!(num, U256::from(core::u64::MAX) + 1 + 123); let a_ref = &U256::from_big_endian(&ary); assert_eq!(a_ref, &(U256::from(core::u64::MAX) + 1 + 123)); } #[test] fn test_from_ref_to_fixed_array() { let ary: &[u8; 32] = &[1, 0, 1, 2, 1, 0, 1, 2, 3, 0, 3, 4, 3, 0, 3, 4, 5, 0, 5, 6, 5, 0, 5, 6, 7, 0, 7, 8, 7, 0, 7, 8]; let big = U256::from_big_endian(ary); // the numbers are each row of 8 bytes reversed and cast to u64 assert_eq!(big, U256([504410889324070664, 360293493601469702, 216176097878868740, 72058702156267778u64])); } #[test] fn test_u512_from_fixed_array() { let ary = [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 123, ]; let num = U512::from_big_endian(&ary); assert_eq!(num, U512::from(123)); let a_ref = U512::from_big_endian(&ary); assert_eq!(a_ref, U512::from(123)); } #[test] fn leading_zeros() { assert_eq!(U256::from("000000000000000000000001adbdd6bd6ff027485484b97f8a6a4c7129756dd1").leading_zeros(), 95); assert_eq!(U256::from("f00000000000000000000001adbdd6bd6ff027485484b97f8a6a4c7129756dd1").leading_zeros(), 0); assert_eq!(U256::from("0000000000000000000000000000000000000000000000000000000000000001").leading_zeros(), 255); assert_eq!(U256::from("0000000000000000000000000000000000000000000000000000000000000000").leading_zeros(), 256); } #[test] fn issue_507_roundtrip() { let mut b32 = <[u8; 32]>::default(); let a = U256::from(10); a.write_as_little_endian(&mut b32); let b = U256::from_little_endian(&b32[..]); assert_eq!(a, b); } #[test] fn trailing_zeros() { assert_eq!(U256::from("1adbdd6bd6ff027485484b97f8a6a4c7129756dd100000000000000000000000").trailing_zeros(), 92); assert_eq!(U256::from("1adbdd6bd6ff027485484b97f8a6a4c7129756dd10000000000000000000000f").trailing_zeros(), 0); assert_eq!(U256::from("8000000000000000000000000000000000000000000000000000000000000000").trailing_zeros(), 255); assert_eq!(U256::from("0000000000000000000000000000000000000000000000000000000000000000").trailing_zeros(), 256); } #[test] fn bit_assign() { fn check(a: U256, b: U256) { // and { let mut x = a; x &= b; assert_eq!(x, a & b); } // or { let mut x = a; x |= b; assert_eq!(x, a | b); } // xor { let mut x = a; x ^= b; assert_eq!(x, a ^ b); } // shr { let mut x = a; x >>= b; assert_eq!(x, a >> b); } // shl { let mut x = a; x <<= b; assert_eq!(x, a << b); } } check(U256::from(9), U256::from(999999)); check(U256::from(0), U256::from(0)); check(U256::from(23432), U256::from(u32::MAX)); check(U256::MAX, U256::zero()); } #[cfg(feature = "quickcheck")] pub mod laws { use super::construct_uint; macro_rules! uint_laws { ($mod_name:ident, $uint_ty:ident) => { mod $mod_name { use quickcheck::{TestResult, quickcheck}; use super::$uint_ty; quickcheck! { fn associative_add(x: $uint_ty, y: $uint_ty, z: $uint_ty) -> TestResult { if x.overflowing_add(y).1 || y.overflowing_add(z).1 || (x + y).overflowing_add(z).1 { return TestResult::discard(); } TestResult::from_bool( (x + y) + z == x + (y + z) ) } } quickcheck! { fn associative_mul(x: $uint_ty, y: $uint_ty, z: $uint_ty) -> TestResult { if x.overflowing_mul(y).1 || y.overflowing_mul(z).1 || (x * y).overflowing_mul(z).1 { return TestResult::discard(); } TestResult::from_bool( (x * y) * z == x * (y * z) ) } } quickcheck! { fn commutative_add(x: $uint_ty, y: $uint_ty) -> TestResult { if x.overflowing_add(y).1 { return TestResult::discard(); } TestResult::from_bool( x + y == y + x ) } } quickcheck! { fn commutative_mul(x: $uint_ty, y: $uint_ty) -> TestResult { if x.overflowing_mul(y).1 { return TestResult::discard(); } TestResult::from_bool( x * y == y * x ) } } quickcheck! { fn identity_add(x: $uint_ty) -> bool { x + $uint_ty::zero() == x } } quickcheck! { fn identity_mul(x: $uint_ty) -> bool { x * $uint_ty::one() == x } } quickcheck! { fn identity_div(x: $uint_ty) -> bool { x / $uint_ty::one() == x } } quickcheck! { fn absorbing_rem(x: $uint_ty) -> bool { x % $uint_ty::one() == $uint_ty::zero() } } quickcheck! { fn absorbing_sub(x: $uint_ty) -> bool { x - x == $uint_ty::zero() } } quickcheck! { fn absorbing_mul(x: $uint_ty) -> bool { x * $uint_ty::zero() == $uint_ty::zero() } } quickcheck! { fn distributive_mul_over_add(x: $uint_ty, y: $uint_ty, z: $uint_ty) -> TestResult { if y.overflowing_add(z).1 || x.overflowing_mul(y + z).1 || x.overflowing_add(y).1 || (x + y).overflowing_mul(z).1 { return TestResult::discard(); } TestResult::from_bool( (x * (y + z) == (x * y + x * z)) && (((x + y) * z) == (x * z + y * z)) ) } } quickcheck! { fn isqrt(x: $uint_ty) -> TestResult { let s = x.integer_sqrt(); let higher = s + 1; if let Some(y) = higher.checked_mul(higher) { TestResult::from_bool( (s * s <= x) && (y > x) ) } else { TestResult::from_bool( s * s <= x ) } } } quickcheck! { fn pow_mul(x: $uint_ty) -> TestResult { if x.overflowing_pow($uint_ty::from(2)).1 || x.overflowing_pow($uint_ty::from(3)).1 { // On overflow `checked_pow` should return `None`. assert_eq!(x.checked_pow($uint_ty::from(2)), None); assert_eq!(x.checked_pow($uint_ty::from(3)), None); return TestResult::discard(); } TestResult::from_bool( x.pow($uint_ty::from(2)) == x * x && x.pow($uint_ty::from(3)) == x * x * x ) } } quickcheck! { fn add_increases(x: $uint_ty, y: $uint_ty) -> TestResult { if y.is_zero() || x.overflowing_add(y).1 { return TestResult::discard(); } TestResult::from_bool( x + y > x ) } } quickcheck! { fn mul_increases(x: $uint_ty, y: $uint_ty) -> TestResult { if y.is_zero() || x.overflowing_mul(y).1 { return TestResult::discard(); } TestResult::from_bool( x * y >= x ) } } quickcheck! { fn div_decreases_dividend(x: $uint_ty, y: $uint_ty) -> TestResult { if y.is_zero() { return TestResult::discard(); } TestResult::from_bool( x / y <= x ) } } quickcheck! { fn rem_decreases_divisor(x: $uint_ty, y: $uint_ty) -> TestResult { if y.is_zero() { return TestResult::discard(); } TestResult::from_bool( x % y < y ) } } } } } construct_uint! { pub struct U64(1); } construct_uint! { pub struct U256(4); } construct_uint! { pub struct U512(8); } construct_uint! { pub struct U1024(16); } uint_laws!(u64, U64); uint_laws!(u256, U256); uint_laws!(u512, U512); uint_laws!(u1024, U1024); }