diff options
Diffstat (limited to 'third_party/rust/num-bigint/tests/bigint.rs')
-rw-r--r-- | third_party/rust/num-bigint/tests/bigint.rs | 1193 |
1 files changed, 1193 insertions, 0 deletions
diff --git a/third_party/rust/num-bigint/tests/bigint.rs b/third_party/rust/num-bigint/tests/bigint.rs new file mode 100644 index 0000000000..911bff0020 --- /dev/null +++ b/third_party/rust/num-bigint/tests/bigint.rs @@ -0,0 +1,1193 @@ +extern crate num_bigint; +extern crate num_integer; +extern crate num_traits; +#[cfg(feature = "rand")] +extern crate rand; + +use num_bigint::BigUint; +use num_bigint::Sign::{Minus, NoSign, Plus}; +use num_bigint::{BigInt, ToBigInt}; + +use std::cmp::Ordering::{Equal, Greater, Less}; +use std::collections::hash_map::RandomState; +use std::hash::{BuildHasher, Hash, Hasher}; +use std::iter::repeat; +use std::ops::Neg; +use std::{f32, f64}; +#[cfg(has_i128)] +use std::{i128, u128}; +use std::{i16, i32, i64, i8, isize}; +use std::{u16, u32, u64, u8, usize}; + +use num_integer::Integer; +use num_traits::{Float, FromPrimitive, Num, One, Pow, Signed, ToPrimitive, Zero}; + +mod consts; +use consts::*; + +#[macro_use] +mod macros; + +#[test] +fn test_from_bytes_be() { + fn check(s: &str, result: &str) { + assert_eq!( + BigInt::from_bytes_be(Plus, s.as_bytes()), + BigInt::parse_bytes(result.as_bytes(), 10).unwrap() + ); + } + check("A", "65"); + check("AA", "16705"); + check("AB", "16706"); + check("Hello world!", "22405534230753963835153736737"); + assert_eq!(BigInt::from_bytes_be(Plus, &[]), Zero::zero()); + assert_eq!(BigInt::from_bytes_be(Minus, &[]), Zero::zero()); +} + +#[test] +fn test_to_bytes_be() { + fn check(s: &str, result: &str) { + let b = BigInt::parse_bytes(result.as_bytes(), 10).unwrap(); + let (sign, v) = b.to_bytes_be(); + assert_eq!((Plus, s.as_bytes()), (sign, &*v)); + } + check("A", "65"); + check("AA", "16705"); + check("AB", "16706"); + check("Hello world!", "22405534230753963835153736737"); + let b: BigInt = Zero::zero(); + assert_eq!(b.to_bytes_be(), (NoSign, vec![0])); + + // Test with leading/trailing zero bytes and a full BigDigit of value 0 + let b = BigInt::from_str_radix("00010000000000000200", 16).unwrap(); + assert_eq!(b.to_bytes_be(), (Plus, vec![1, 0, 0, 0, 0, 0, 0, 2, 0])); +} + +#[test] +fn test_from_bytes_le() { + fn check(s: &str, result: &str) { + assert_eq!( + BigInt::from_bytes_le(Plus, s.as_bytes()), + BigInt::parse_bytes(result.as_bytes(), 10).unwrap() + ); + } + check("A", "65"); + check("AA", "16705"); + check("BA", "16706"); + check("!dlrow olleH", "22405534230753963835153736737"); + assert_eq!(BigInt::from_bytes_le(Plus, &[]), Zero::zero()); + assert_eq!(BigInt::from_bytes_le(Minus, &[]), Zero::zero()); +} + +#[test] +fn test_to_bytes_le() { + fn check(s: &str, result: &str) { + let b = BigInt::parse_bytes(result.as_bytes(), 10).unwrap(); + let (sign, v) = b.to_bytes_le(); + assert_eq!((Plus, s.as_bytes()), (sign, &*v)); + } + check("A", "65"); + check("AA", "16705"); + check("BA", "16706"); + check("!dlrow olleH", "22405534230753963835153736737"); + let b: BigInt = Zero::zero(); + assert_eq!(b.to_bytes_le(), (NoSign, vec![0])); + + // Test with leading/trailing zero bytes and a full BigDigit of value 0 + let b = BigInt::from_str_radix("00010000000000000200", 16).unwrap(); + assert_eq!(b.to_bytes_le(), (Plus, vec![0, 2, 0, 0, 0, 0, 0, 0, 1])); +} + +#[test] +fn test_to_signed_bytes_le() { + fn check(s: &str, result: Vec<u8>) { + assert_eq!( + BigInt::parse_bytes(s.as_bytes(), 10) + .unwrap() + .to_signed_bytes_le(), + result + ); + } + + check("0", vec![0]); + check("32767", vec![0xff, 0x7f]); + check("-1", vec![0xff]); + check("16777216", vec![0, 0, 0, 1]); + check("-100", vec![156]); + check("-8388608", vec![0, 0, 0x80]); + check("-192", vec![0x40, 0xff]); + check("128", vec![0x80, 0]) +} + +#[test] +fn test_from_signed_bytes_le() { + fn check(s: &[u8], result: &str) { + assert_eq!( + BigInt::from_signed_bytes_le(s), + BigInt::parse_bytes(result.as_bytes(), 10).unwrap() + ); + } + + check(&[], "0"); + check(&[0], "0"); + check(&[0; 10], "0"); + check(&[0xff, 0x7f], "32767"); + check(&[0xff], "-1"); + check(&[0, 0, 0, 1], "16777216"); + check(&[156], "-100"); + check(&[0, 0, 0x80], "-8388608"); + check(&[0xff; 10], "-1"); + check(&[0x40, 0xff], "-192"); +} + +#[test] +fn test_to_signed_bytes_be() { + fn check(s: &str, result: Vec<u8>) { + assert_eq!( + BigInt::parse_bytes(s.as_bytes(), 10) + .unwrap() + .to_signed_bytes_be(), + result + ); + } + + check("0", vec![0]); + check("32767", vec![0x7f, 0xff]); + check("-1", vec![255]); + check("16777216", vec![1, 0, 0, 0]); + check("-100", vec![156]); + check("-8388608", vec![128, 0, 0]); + check("-192", vec![0xff, 0x40]); + check("128", vec![0, 0x80]); +} + +#[test] +fn test_from_signed_bytes_be() { + fn check(s: &[u8], result: &str) { + assert_eq!( + BigInt::from_signed_bytes_be(s), + BigInt::parse_bytes(result.as_bytes(), 10).unwrap() + ); + } + + check(&[], "0"); + check(&[0], "0"); + check(&[0; 10], "0"); + check(&[127, 255], "32767"); + check(&[255], "-1"); + check(&[1, 0, 0, 0], "16777216"); + check(&[156], "-100"); + check(&[128, 0, 0], "-8388608"); + check(&[255; 10], "-1"); + check(&[0xff, 0x40], "-192"); +} + +#[test] +fn test_signed_bytes_be_round_trip() { + for i in -0x1FFFF..0x20000 { + let n = BigInt::from(i); + assert_eq!(n, BigInt::from_signed_bytes_be(&n.to_signed_bytes_be())); + } +} + +#[test] +fn test_signed_bytes_le_round_trip() { + for i in -0x1FFFF..0x20000 { + let n = BigInt::from(i); + assert_eq!(n, BigInt::from_signed_bytes_le(&n.to_signed_bytes_le())); + } +} + +#[test] +fn test_cmp() { + let vs: [&[u32]; 4] = [&[2 as u32], &[1, 1], &[2, 1], &[1, 1, 1]]; + let mut nums = Vec::new(); + for s in vs.iter().rev() { + nums.push(BigInt::from_slice(Minus, *s)); + } + nums.push(Zero::zero()); + nums.extend(vs.iter().map(|s| BigInt::from_slice(Plus, *s))); + + for (i, ni) in nums.iter().enumerate() { + for (j0, nj) in nums[i..].iter().enumerate() { + let j = i + j0; + if i == j { + assert_eq!(ni.cmp(nj), Equal); + assert_eq!(nj.cmp(ni), Equal); + assert_eq!(ni, nj); + assert!(!(ni != nj)); + assert!(ni <= nj); + assert!(ni >= nj); + assert!(!(ni < nj)); + assert!(!(ni > nj)); + } else { + assert_eq!(ni.cmp(nj), Less); + assert_eq!(nj.cmp(ni), Greater); + + assert!(!(ni == nj)); + assert!(ni != nj); + + assert!(ni <= nj); + assert!(!(ni >= nj)); + assert!(ni < nj); + assert!(!(ni > nj)); + + assert!(!(nj <= ni)); + assert!(nj >= ni); + assert!(!(nj < ni)); + assert!(nj > ni); + } + } + } +} + +fn hash<T: Hash>(x: &T) -> u64 { + let mut hasher = <RandomState as BuildHasher>::Hasher::new(); + x.hash(&mut hasher); + hasher.finish() +} + +#[test] +fn test_hash() { + let a = BigInt::new(NoSign, vec![]); + let b = BigInt::new(NoSign, vec![0]); + let c = BigInt::new(Plus, vec![1]); + let d = BigInt::new(Plus, vec![1, 0, 0, 0, 0, 0]); + let e = BigInt::new(Plus, vec![0, 0, 0, 0, 0, 1]); + let f = BigInt::new(Minus, vec![1]); + assert!(hash(&a) == hash(&b)); + assert!(hash(&b) != hash(&c)); + assert!(hash(&c) == hash(&d)); + assert!(hash(&d) != hash(&e)); + assert!(hash(&c) != hash(&f)); +} + +#[test] +fn test_convert_i64() { + fn check(b1: BigInt, i: i64) { + let b2: BigInt = FromPrimitive::from_i64(i).unwrap(); + assert!(b1 == b2); + assert!(b1.to_i64().unwrap() == i); + } + + check(Zero::zero(), 0); + check(One::one(), 1); + check(i64::MIN.to_bigint().unwrap(), i64::MIN); + check(i64::MAX.to_bigint().unwrap(), i64::MAX); + + assert_eq!((i64::MAX as u64 + 1).to_bigint().unwrap().to_i64(), None); + + assert_eq!( + BigInt::from_biguint(Plus, BigUint::new(vec![1, 2, 3, 4, 5])).to_i64(), + None + ); + + assert_eq!( + BigInt::from_biguint(Minus, BigUint::new(vec![1, 0, 0, 1 << 31])).to_i64(), + None + ); + + assert_eq!( + BigInt::from_biguint(Minus, BigUint::new(vec![1, 2, 3, 4, 5])).to_i64(), + None + ); +} + +#[test] +#[cfg(has_i128)] +fn test_convert_i128() { + fn check(b1: BigInt, i: i128) { + let b2: BigInt = FromPrimitive::from_i128(i).unwrap(); + assert!(b1 == b2); + assert!(b1.to_i128().unwrap() == i); + } + + check(Zero::zero(), 0); + check(One::one(), 1); + check(i128::MIN.to_bigint().unwrap(), i128::MIN); + check(i128::MAX.to_bigint().unwrap(), i128::MAX); + + assert_eq!((i128::MAX as u128 + 1).to_bigint().unwrap().to_i128(), None); + + assert_eq!( + BigInt::from_biguint(Plus, BigUint::new(vec![1, 2, 3, 4, 5])).to_i128(), + None + ); + + assert_eq!( + BigInt::from_biguint(Minus, BigUint::new(vec![1, 0, 0, 1 << 31])).to_i128(), + None + ); + + assert_eq!( + BigInt::from_biguint(Minus, BigUint::new(vec![1, 2, 3, 4, 5])).to_i128(), + None + ); +} + +#[test] +fn test_convert_u64() { + fn check(b1: BigInt, u: u64) { + let b2: BigInt = FromPrimitive::from_u64(u).unwrap(); + assert!(b1 == b2); + assert!(b1.to_u64().unwrap() == u); + } + + check(Zero::zero(), 0); + check(One::one(), 1); + check(u64::MIN.to_bigint().unwrap(), u64::MIN); + check(u64::MAX.to_bigint().unwrap(), u64::MAX); + + assert_eq!( + BigInt::from_biguint(Plus, BigUint::new(vec![1, 2, 3, 4, 5])).to_u64(), + None + ); + + let max_value: BigUint = FromPrimitive::from_u64(u64::MAX).unwrap(); + assert_eq!(BigInt::from_biguint(Minus, max_value).to_u64(), None); + assert_eq!( + BigInt::from_biguint(Minus, BigUint::new(vec![1, 2, 3, 4, 5])).to_u64(), + None + ); +} + +#[test] +#[cfg(has_i128)] +fn test_convert_u128() { + fn check(b1: BigInt, u: u128) { + let b2: BigInt = FromPrimitive::from_u128(u).unwrap(); + assert!(b1 == b2); + assert!(b1.to_u128().unwrap() == u); + } + + check(Zero::zero(), 0); + check(One::one(), 1); + check(u128::MIN.to_bigint().unwrap(), u128::MIN); + check(u128::MAX.to_bigint().unwrap(), u128::MAX); + + assert_eq!( + BigInt::from_biguint(Plus, BigUint::new(vec![1, 2, 3, 4, 5])).to_u128(), + None + ); + + let max_value: BigUint = FromPrimitive::from_u128(u128::MAX).unwrap(); + assert_eq!(BigInt::from_biguint(Minus, max_value).to_u128(), None); + assert_eq!( + BigInt::from_biguint(Minus, BigUint::new(vec![1, 2, 3, 4, 5])).to_u128(), + None + ); +} + +#[test] +fn test_convert_f32() { + fn check(b1: &BigInt, f: f32) { + let b2 = BigInt::from_f32(f).unwrap(); + assert_eq!(b1, &b2); + assert_eq!(b1.to_f32().unwrap(), f); + let neg_b1 = -b1; + let neg_b2 = BigInt::from_f32(-f).unwrap(); + assert_eq!(neg_b1, neg_b2); + assert_eq!(neg_b1.to_f32().unwrap(), -f); + } + + check(&BigInt::zero(), 0.0); + check(&BigInt::one(), 1.0); + check(&BigInt::from(u16::MAX), 2.0.powi(16) - 1.0); + check(&BigInt::from(1u64 << 32), 2.0.powi(32)); + check(&BigInt::from_slice(Plus, &[0, 0, 1]), 2.0.powi(64)); + check( + &((BigInt::one() << 100) + (BigInt::one() << 123)), + 2.0.powi(100) + 2.0.powi(123), + ); + check(&(BigInt::one() << 127), 2.0.powi(127)); + check(&(BigInt::from((1u64 << 24) - 1) << (128 - 24)), f32::MAX); + + // keeping all 24 digits with the bits at different offsets to the BigDigits + let x: u32 = 0b00000000101111011111011011011101; + let mut f = x as f32; + let mut b = BigInt::from(x); + for _ in 0..64 { + check(&b, f); + f *= 2.0; + b = b << 1; + } + + // this number when rounded to f64 then f32 isn't the same as when rounded straight to f32 + let mut n: i64 = 0b0000000000111111111111111111111111011111111111111111111111111111; + assert!((n as f64) as f32 != n as f32); + assert_eq!(BigInt::from(n).to_f32(), Some(n as f32)); + n = -n; + assert!((n as f64) as f32 != n as f32); + assert_eq!(BigInt::from(n).to_f32(), Some(n as f32)); + + // test rounding up with the bits at different offsets to the BigDigits + let mut f = ((1u64 << 25) - 1) as f32; + let mut b = BigInt::from(1u64 << 25); + for _ in 0..64 { + assert_eq!(b.to_f32(), Some(f)); + f *= 2.0; + b = b << 1; + } + + // rounding + assert_eq!( + BigInt::from_f32(-f32::consts::PI), + Some(BigInt::from(-3i32)) + ); + assert_eq!(BigInt::from_f32(-f32::consts::E), Some(BigInt::from(-2i32))); + assert_eq!(BigInt::from_f32(-0.99999), Some(BigInt::zero())); + assert_eq!(BigInt::from_f32(-0.5), Some(BigInt::zero())); + assert_eq!(BigInt::from_f32(-0.0), Some(BigInt::zero())); + assert_eq!( + BigInt::from_f32(f32::MIN_POSITIVE / 2.0), + Some(BigInt::zero()) + ); + assert_eq!(BigInt::from_f32(f32::MIN_POSITIVE), Some(BigInt::zero())); + assert_eq!(BigInt::from_f32(0.5), Some(BigInt::zero())); + assert_eq!(BigInt::from_f32(0.99999), Some(BigInt::zero())); + assert_eq!(BigInt::from_f32(f32::consts::E), Some(BigInt::from(2u32))); + assert_eq!(BigInt::from_f32(f32::consts::PI), Some(BigInt::from(3u32))); + + // special float values + assert_eq!(BigInt::from_f32(f32::NAN), None); + assert_eq!(BigInt::from_f32(f32::INFINITY), None); + assert_eq!(BigInt::from_f32(f32::NEG_INFINITY), None); + + // largest BigInt that will round to a finite f32 value + let big_num = (BigInt::one() << 128) - BigInt::one() - (BigInt::one() << (128 - 25)); + assert_eq!(big_num.to_f32(), Some(f32::MAX)); + assert_eq!((&big_num + BigInt::one()).to_f32(), None); + assert_eq!((-&big_num).to_f32(), Some(f32::MIN)); + assert_eq!(((-&big_num) - BigInt::one()).to_f32(), None); + + assert_eq!(((BigInt::one() << 128) - BigInt::one()).to_f32(), None); + assert_eq!((BigInt::one() << 128).to_f32(), None); + assert_eq!((-((BigInt::one() << 128) - BigInt::one())).to_f32(), None); + assert_eq!((-(BigInt::one() << 128)).to_f32(), None); +} + +#[test] +fn test_convert_f64() { + fn check(b1: &BigInt, f: f64) { + let b2 = BigInt::from_f64(f).unwrap(); + assert_eq!(b1, &b2); + assert_eq!(b1.to_f64().unwrap(), f); + let neg_b1 = -b1; + let neg_b2 = BigInt::from_f64(-f).unwrap(); + assert_eq!(neg_b1, neg_b2); + assert_eq!(neg_b1.to_f64().unwrap(), -f); + } + + check(&BigInt::zero(), 0.0); + check(&BigInt::one(), 1.0); + check(&BigInt::from(u32::MAX), 2.0.powi(32) - 1.0); + check(&BigInt::from(1u64 << 32), 2.0.powi(32)); + check(&BigInt::from_slice(Plus, &[0, 0, 1]), 2.0.powi(64)); + check( + &((BigInt::one() << 100) + (BigInt::one() << 152)), + 2.0.powi(100) + 2.0.powi(152), + ); + check(&(BigInt::one() << 1023), 2.0.powi(1023)); + check(&(BigInt::from((1u64 << 53) - 1) << (1024 - 53)), f64::MAX); + + // keeping all 53 digits with the bits at different offsets to the BigDigits + let x: u64 = 0b0000000000011110111110110111111101110111101111011111011011011101; + let mut f = x as f64; + let mut b = BigInt::from(x); + for _ in 0..128 { + check(&b, f); + f *= 2.0; + b = b << 1; + } + + // test rounding up with the bits at different offsets to the BigDigits + let mut f = ((1u64 << 54) - 1) as f64; + let mut b = BigInt::from(1u64 << 54); + for _ in 0..128 { + assert_eq!(b.to_f64(), Some(f)); + f *= 2.0; + b = b << 1; + } + + // rounding + assert_eq!( + BigInt::from_f64(-f64::consts::PI), + Some(BigInt::from(-3i32)) + ); + assert_eq!(BigInt::from_f64(-f64::consts::E), Some(BigInt::from(-2i32))); + assert_eq!(BigInt::from_f64(-0.99999), Some(BigInt::zero())); + assert_eq!(BigInt::from_f64(-0.5), Some(BigInt::zero())); + assert_eq!(BigInt::from_f64(-0.0), Some(BigInt::zero())); + assert_eq!( + BigInt::from_f64(f64::MIN_POSITIVE / 2.0), + Some(BigInt::zero()) + ); + assert_eq!(BigInt::from_f64(f64::MIN_POSITIVE), Some(BigInt::zero())); + assert_eq!(BigInt::from_f64(0.5), Some(BigInt::zero())); + assert_eq!(BigInt::from_f64(0.99999), Some(BigInt::zero())); + assert_eq!(BigInt::from_f64(f64::consts::E), Some(BigInt::from(2u32))); + assert_eq!(BigInt::from_f64(f64::consts::PI), Some(BigInt::from(3u32))); + + // special float values + assert_eq!(BigInt::from_f64(f64::NAN), None); + assert_eq!(BigInt::from_f64(f64::INFINITY), None); + assert_eq!(BigInt::from_f64(f64::NEG_INFINITY), None); + + // largest BigInt that will round to a finite f64 value + let big_num = (BigInt::one() << 1024) - BigInt::one() - (BigInt::one() << (1024 - 54)); + assert_eq!(big_num.to_f64(), Some(f64::MAX)); + assert_eq!((&big_num + BigInt::one()).to_f64(), None); + assert_eq!((-&big_num).to_f64(), Some(f64::MIN)); + assert_eq!(((-&big_num) - BigInt::one()).to_f64(), None); + + assert_eq!(((BigInt::one() << 1024) - BigInt::one()).to_f64(), None); + assert_eq!((BigInt::one() << 1024).to_f64(), None); + assert_eq!((-((BigInt::one() << 1024) - BigInt::one())).to_f64(), None); + assert_eq!((-(BigInt::one() << 1024)).to_f64(), None); +} + +#[test] +fn test_convert_to_biguint() { + fn check(n: BigInt, ans_1: BigUint) { + assert_eq!(n.to_biguint().unwrap(), ans_1); + assert_eq!(n.to_biguint().unwrap().to_bigint().unwrap(), n); + } + let zero: BigInt = Zero::zero(); + let unsigned_zero: BigUint = Zero::zero(); + let positive = BigInt::from_biguint(Plus, BigUint::new(vec![1, 2, 3])); + let negative = -&positive; + + check(zero, unsigned_zero); + check(positive, BigUint::new(vec![1, 2, 3])); + + assert_eq!(negative.to_biguint(), None); +} + +#[test] +fn test_convert_from_uint() { + macro_rules! check { + ($ty:ident, $max:expr) => { + assert_eq!(BigInt::from($ty::zero()), BigInt::zero()); + assert_eq!(BigInt::from($ty::one()), BigInt::one()); + assert_eq!(BigInt::from($ty::MAX - $ty::one()), $max - BigInt::one()); + assert_eq!(BigInt::from($ty::MAX), $max); + }; + } + + check!(u8, BigInt::from_slice(Plus, &[u8::MAX as u32])); + check!(u16, BigInt::from_slice(Plus, &[u16::MAX as u32])); + check!(u32, BigInt::from_slice(Plus, &[u32::MAX])); + check!(u64, BigInt::from_slice(Plus, &[u32::MAX, u32::MAX])); + #[cfg(has_i128)] + check!( + u128, + BigInt::from_slice(Plus, &[u32::MAX, u32::MAX, u32::MAX, u32::MAX]) + ); + check!(usize, BigInt::from(usize::MAX as u64)); +} + +#[test] +fn test_convert_from_int() { + macro_rules! check { + ($ty:ident, $min:expr, $max:expr) => { + assert_eq!(BigInt::from($ty::MIN), $min); + assert_eq!(BigInt::from($ty::MIN + $ty::one()), $min + BigInt::one()); + assert_eq!(BigInt::from(-$ty::one()), -BigInt::one()); + assert_eq!(BigInt::from($ty::zero()), BigInt::zero()); + assert_eq!(BigInt::from($ty::one()), BigInt::one()); + assert_eq!(BigInt::from($ty::MAX - $ty::one()), $max - BigInt::one()); + assert_eq!(BigInt::from($ty::MAX), $max); + }; + } + + check!( + i8, + BigInt::from_slice(Minus, &[1 << 7]), + BigInt::from_slice(Plus, &[i8::MAX as u32]) + ); + check!( + i16, + BigInt::from_slice(Minus, &[1 << 15]), + BigInt::from_slice(Plus, &[i16::MAX as u32]) + ); + check!( + i32, + BigInt::from_slice(Minus, &[1 << 31]), + BigInt::from_slice(Plus, &[i32::MAX as u32]) + ); + check!( + i64, + BigInt::from_slice(Minus, &[0, 1 << 31]), + BigInt::from_slice(Plus, &[u32::MAX, i32::MAX as u32]) + ); + #[cfg(has_i128)] + check!( + i128, + BigInt::from_slice(Minus, &[0, 0, 0, 1 << 31]), + BigInt::from_slice(Plus, &[u32::MAX, u32::MAX, u32::MAX, i32::MAX as u32]) + ); + check!( + isize, + BigInt::from(isize::MIN as i64), + BigInt::from(isize::MAX as i64) + ); +} + +#[test] +fn test_convert_from_biguint() { + assert_eq!(BigInt::from(BigUint::zero()), BigInt::zero()); + assert_eq!(BigInt::from(BigUint::one()), BigInt::one()); + assert_eq!( + BigInt::from(BigUint::from_slice(&[1, 2, 3])), + BigInt::from_slice(Plus, &[1, 2, 3]) + ); +} + +#[test] +fn test_add() { + for elm in SUM_TRIPLES.iter() { + let (a_vec, b_vec, c_vec) = *elm; + let a = BigInt::from_slice(Plus, a_vec); + let b = BigInt::from_slice(Plus, b_vec); + let c = BigInt::from_slice(Plus, c_vec); + let (na, nb, nc) = (-&a, -&b, -&c); + + assert_op!(a + b == c); + assert_op!(b + a == c); + assert_op!(c + na == b); + assert_op!(c + nb == a); + assert_op!(a + nc == nb); + assert_op!(b + nc == na); + assert_op!(na + nb == nc); + assert_op!(a + na == Zero::zero()); + + assert_assign_op!(a += b == c); + assert_assign_op!(b += a == c); + assert_assign_op!(c += na == b); + assert_assign_op!(c += nb == a); + assert_assign_op!(a += nc == nb); + assert_assign_op!(b += nc == na); + assert_assign_op!(na += nb == nc); + assert_assign_op!(a += na == Zero::zero()); + } +} + +#[test] +fn test_sub() { + for elm in SUM_TRIPLES.iter() { + let (a_vec, b_vec, c_vec) = *elm; + let a = BigInt::from_slice(Plus, a_vec); + let b = BigInt::from_slice(Plus, b_vec); + let c = BigInt::from_slice(Plus, c_vec); + let (na, nb, nc) = (-&a, -&b, -&c); + + assert_op!(c - a == b); + assert_op!(c - b == a); + assert_op!(nb - a == nc); + assert_op!(na - b == nc); + assert_op!(b - na == c); + assert_op!(a - nb == c); + assert_op!(nc - na == nb); + assert_op!(a - a == Zero::zero()); + + assert_assign_op!(c -= a == b); + assert_assign_op!(c -= b == a); + assert_assign_op!(nb -= a == nc); + assert_assign_op!(na -= b == nc); + assert_assign_op!(b -= na == c); + assert_assign_op!(a -= nb == c); + assert_assign_op!(nc -= na == nb); + assert_assign_op!(a -= a == Zero::zero()); + } +} + +#[test] +fn test_mul() { + for elm in MUL_TRIPLES.iter() { + let (a_vec, b_vec, c_vec) = *elm; + let a = BigInt::from_slice(Plus, a_vec); + let b = BigInt::from_slice(Plus, b_vec); + let c = BigInt::from_slice(Plus, c_vec); + let (na, nb, nc) = (-&a, -&b, -&c); + + assert_op!(a * b == c); + assert_op!(b * a == c); + assert_op!(na * nb == c); + + assert_op!(na * b == nc); + assert_op!(nb * a == nc); + + assert_assign_op!(a *= b == c); + assert_assign_op!(b *= a == c); + assert_assign_op!(na *= nb == c); + + assert_assign_op!(na *= b == nc); + assert_assign_op!(nb *= a == nc); + } + + for elm in DIV_REM_QUADRUPLES.iter() { + let (a_vec, b_vec, c_vec, d_vec) = *elm; + let a = BigInt::from_slice(Plus, a_vec); + let b = BigInt::from_slice(Plus, b_vec); + let c = BigInt::from_slice(Plus, c_vec); + let d = BigInt::from_slice(Plus, d_vec); + + assert!(a == &b * &c + &d); + assert!(a == &c * &b + &d); + } +} + +#[test] +fn test_div_mod_floor() { + fn check_sub(a: &BigInt, b: &BigInt, ans_d: &BigInt, ans_m: &BigInt) { + let (d, m) = a.div_mod_floor(b); + if !m.is_zero() { + assert_eq!(m.sign(), b.sign()); + } + assert!(m.abs() <= b.abs()); + assert!(*a == b * &d + &m); + assert!(d == *ans_d); + assert!(m == *ans_m); + } + + fn check(a: &BigInt, b: &BigInt, d: &BigInt, m: &BigInt) { + if m.is_zero() { + check_sub(a, b, d, m); + check_sub(a, &b.neg(), &d.neg(), m); + check_sub(&a.neg(), b, &d.neg(), m); + check_sub(&a.neg(), &b.neg(), d, m); + } else { + let one: BigInt = One::one(); + check_sub(a, b, d, m); + check_sub(a, &b.neg(), &(d.neg() - &one), &(m - b)); + check_sub(&a.neg(), b, &(d.neg() - &one), &(b - m)); + check_sub(&a.neg(), &b.neg(), d, &m.neg()); + } + } + + for elm in MUL_TRIPLES.iter() { + let (a_vec, b_vec, c_vec) = *elm; + let a = BigInt::from_slice(Plus, a_vec); + let b = BigInt::from_slice(Plus, b_vec); + let c = BigInt::from_slice(Plus, c_vec); + + if !a.is_zero() { + check(&c, &a, &b, &Zero::zero()); + } + if !b.is_zero() { + check(&c, &b, &a, &Zero::zero()); + } + } + + for elm in DIV_REM_QUADRUPLES.iter() { + let (a_vec, b_vec, c_vec, d_vec) = *elm; + let a = BigInt::from_slice(Plus, a_vec); + let b = BigInt::from_slice(Plus, b_vec); + let c = BigInt::from_slice(Plus, c_vec); + let d = BigInt::from_slice(Plus, d_vec); + + if !b.is_zero() { + check(&a, &b, &c, &d); + } + } +} + +#[test] +fn test_div_rem() { + fn check_sub(a: &BigInt, b: &BigInt, ans_q: &BigInt, ans_r: &BigInt) { + let (q, r) = a.div_rem(b); + if !r.is_zero() { + assert_eq!(r.sign(), a.sign()); + } + assert!(r.abs() <= b.abs()); + assert!(*a == b * &q + &r); + assert!(q == *ans_q); + assert!(r == *ans_r); + + let (a, b, ans_q, ans_r) = (a.clone(), b.clone(), ans_q.clone(), ans_r.clone()); + assert_op!(a / b == ans_q); + assert_op!(a % b == ans_r); + assert_assign_op!(a /= b == ans_q); + assert_assign_op!(a %= b == ans_r); + } + + fn check(a: &BigInt, b: &BigInt, q: &BigInt, r: &BigInt) { + check_sub(a, b, q, r); + check_sub(a, &b.neg(), &q.neg(), r); + check_sub(&a.neg(), b, &q.neg(), &r.neg()); + check_sub(&a.neg(), &b.neg(), q, &r.neg()); + } + for elm in MUL_TRIPLES.iter() { + let (a_vec, b_vec, c_vec) = *elm; + let a = BigInt::from_slice(Plus, a_vec); + let b = BigInt::from_slice(Plus, b_vec); + let c = BigInt::from_slice(Plus, c_vec); + + if !a.is_zero() { + check(&c, &a, &b, &Zero::zero()); + } + if !b.is_zero() { + check(&c, &b, &a, &Zero::zero()); + } + } + + for elm in DIV_REM_QUADRUPLES.iter() { + let (a_vec, b_vec, c_vec, d_vec) = *elm; + let a = BigInt::from_slice(Plus, a_vec); + let b = BigInt::from_slice(Plus, b_vec); + let c = BigInt::from_slice(Plus, c_vec); + let d = BigInt::from_slice(Plus, d_vec); + + if !b.is_zero() { + check(&a, &b, &c, &d); + } + } +} + +#[test] +fn test_checked_add() { + for elm in SUM_TRIPLES.iter() { + let (a_vec, b_vec, c_vec) = *elm; + let a = BigInt::from_slice(Plus, a_vec); + let b = BigInt::from_slice(Plus, b_vec); + let c = BigInt::from_slice(Plus, c_vec); + + assert!(a.checked_add(&b).unwrap() == c); + assert!(b.checked_add(&a).unwrap() == c); + assert!(c.checked_add(&(-&a)).unwrap() == b); + assert!(c.checked_add(&(-&b)).unwrap() == a); + assert!(a.checked_add(&(-&c)).unwrap() == (-&b)); + assert!(b.checked_add(&(-&c)).unwrap() == (-&a)); + assert!((-&a).checked_add(&(-&b)).unwrap() == (-&c)); + assert!(a.checked_add(&(-&a)).unwrap() == Zero::zero()); + } +} + +#[test] +fn test_checked_sub() { + for elm in SUM_TRIPLES.iter() { + let (a_vec, b_vec, c_vec) = *elm; + let a = BigInt::from_slice(Plus, a_vec); + let b = BigInt::from_slice(Plus, b_vec); + let c = BigInt::from_slice(Plus, c_vec); + + assert!(c.checked_sub(&a).unwrap() == b); + assert!(c.checked_sub(&b).unwrap() == a); + assert!((-&b).checked_sub(&a).unwrap() == (-&c)); + assert!((-&a).checked_sub(&b).unwrap() == (-&c)); + assert!(b.checked_sub(&(-&a)).unwrap() == c); + assert!(a.checked_sub(&(-&b)).unwrap() == c); + assert!((-&c).checked_sub(&(-&a)).unwrap() == (-&b)); + assert!(a.checked_sub(&a).unwrap() == Zero::zero()); + } +} + +#[test] +fn test_checked_mul() { + for elm in MUL_TRIPLES.iter() { + let (a_vec, b_vec, c_vec) = *elm; + let a = BigInt::from_slice(Plus, a_vec); + let b = BigInt::from_slice(Plus, b_vec); + let c = BigInt::from_slice(Plus, c_vec); + + assert!(a.checked_mul(&b).unwrap() == c); + assert!(b.checked_mul(&a).unwrap() == c); + + assert!((-&a).checked_mul(&b).unwrap() == -&c); + assert!((-&b).checked_mul(&a).unwrap() == -&c); + } + + for elm in DIV_REM_QUADRUPLES.iter() { + let (a_vec, b_vec, c_vec, d_vec) = *elm; + let a = BigInt::from_slice(Plus, a_vec); + let b = BigInt::from_slice(Plus, b_vec); + let c = BigInt::from_slice(Plus, c_vec); + let d = BigInt::from_slice(Plus, d_vec); + + assert!(a == b.checked_mul(&c).unwrap() + &d); + assert!(a == c.checked_mul(&b).unwrap() + &d); + } +} +#[test] +fn test_checked_div() { + for elm in MUL_TRIPLES.iter() { + let (a_vec, b_vec, c_vec) = *elm; + let a = BigInt::from_slice(Plus, a_vec); + let b = BigInt::from_slice(Plus, b_vec); + let c = BigInt::from_slice(Plus, c_vec); + + if !a.is_zero() { + assert!(c.checked_div(&a).unwrap() == b); + assert!((-&c).checked_div(&(-&a)).unwrap() == b); + assert!((-&c).checked_div(&a).unwrap() == -&b); + } + if !b.is_zero() { + assert!(c.checked_div(&b).unwrap() == a); + assert!((-&c).checked_div(&(-&b)).unwrap() == a); + assert!((-&c).checked_div(&b).unwrap() == -&a); + } + + assert!(c.checked_div(&Zero::zero()).is_none()); + assert!((-&c).checked_div(&Zero::zero()).is_none()); + } +} + +#[test] +fn test_gcd() { + fn check(a: isize, b: isize, c: isize) { + let big_a: BigInt = FromPrimitive::from_isize(a).unwrap(); + let big_b: BigInt = FromPrimitive::from_isize(b).unwrap(); + let big_c: BigInt = FromPrimitive::from_isize(c).unwrap(); + + assert_eq!(big_a.gcd(&big_b), big_c); + } + + check(10, 2, 2); + check(10, 3, 1); + check(0, 3, 3); + check(3, 3, 3); + check(56, 42, 14); + check(3, -3, 3); + check(-6, 3, 3); + check(-4, -2, 2); +} + +#[test] +fn test_lcm() { + fn check(a: isize, b: isize, c: isize) { + let big_a: BigInt = FromPrimitive::from_isize(a).unwrap(); + let big_b: BigInt = FromPrimitive::from_isize(b).unwrap(); + let big_c: BigInt = FromPrimitive::from_isize(c).unwrap(); + + assert_eq!(big_a.lcm(&big_b), big_c); + } + + check(0, 0, 0); + check(1, 0, 0); + check(0, 1, 0); + check(1, 1, 1); + check(-1, 1, 1); + check(1, -1, 1); + check(-1, -1, 1); + check(8, 9, 72); + check(11, 5, 55); +} + +#[test] +fn test_abs_sub() { + let zero: BigInt = Zero::zero(); + let one: BigInt = One::one(); + assert_eq!((-&one).abs_sub(&one), zero); + let one: BigInt = One::one(); + let zero: BigInt = Zero::zero(); + assert_eq!(one.abs_sub(&one), zero); + let one: BigInt = One::one(); + let zero: BigInt = Zero::zero(); + assert_eq!(one.abs_sub(&zero), one); + let one: BigInt = One::one(); + let two: BigInt = FromPrimitive::from_isize(2).unwrap(); + assert_eq!(one.abs_sub(&-&one), two); +} + +#[test] +fn test_from_str_radix() { + fn check(s: &str, ans: Option<isize>) { + let ans = ans.map(|n| { + let x: BigInt = FromPrimitive::from_isize(n).unwrap(); + x + }); + assert_eq!(BigInt::from_str_radix(s, 10).ok(), ans); + } + check("10", Some(10)); + check("1", Some(1)); + check("0", Some(0)); + check("-1", Some(-1)); + check("-10", Some(-10)); + check("+10", Some(10)); + check("--7", None); + check("++5", None); + check("+-9", None); + check("-+3", None); + check("Z", None); + check("_", None); + + // issue 10522, this hit an edge case that caused it to + // attempt to allocate a vector of size (-1u) == huge. + let x: BigInt = format!("1{}", repeat("0").take(36).collect::<String>()) + .parse() + .unwrap(); + let _y = x.to_string(); +} + +#[test] +fn test_lower_hex() { + let a = BigInt::parse_bytes(b"A", 16).unwrap(); + let hello = BigInt::parse_bytes("-22405534230753963835153736737".as_bytes(), 10).unwrap(); + + assert_eq!(format!("{:x}", a), "a"); + assert_eq!(format!("{:x}", hello), "-48656c6c6f20776f726c6421"); + assert_eq!(format!("{:♥>+#8x}", a), "♥♥♥♥+0xa"); +} + +#[test] +fn test_upper_hex() { + let a = BigInt::parse_bytes(b"A", 16).unwrap(); + let hello = BigInt::parse_bytes("-22405534230753963835153736737".as_bytes(), 10).unwrap(); + + assert_eq!(format!("{:X}", a), "A"); + assert_eq!(format!("{:X}", hello), "-48656C6C6F20776F726C6421"); + assert_eq!(format!("{:♥>+#8X}", a), "♥♥♥♥+0xA"); +} + +#[test] +fn test_binary() { + let a = BigInt::parse_bytes(b"A", 16).unwrap(); + let hello = BigInt::parse_bytes("-224055342307539".as_bytes(), 10).unwrap(); + + assert_eq!(format!("{:b}", a), "1010"); + assert_eq!( + format!("{:b}", hello), + "-110010111100011011110011000101101001100011010011" + ); + assert_eq!(format!("{:♥>+#8b}", a), "♥+0b1010"); +} + +#[test] +fn test_octal() { + let a = BigInt::parse_bytes(b"A", 16).unwrap(); + let hello = BigInt::parse_bytes("-22405534230753963835153736737".as_bytes(), 10).unwrap(); + + assert_eq!(format!("{:o}", a), "12"); + assert_eq!(format!("{:o}", hello), "-22062554330674403566756233062041"); + assert_eq!(format!("{:♥>+#8o}", a), "♥♥♥+0o12"); +} + +#[test] +fn test_display() { + let a = BigInt::parse_bytes(b"A", 16).unwrap(); + let hello = BigInt::parse_bytes("-22405534230753963835153736737".as_bytes(), 10).unwrap(); + + assert_eq!(format!("{}", a), "10"); + assert_eq!(format!("{}", hello), "-22405534230753963835153736737"); + assert_eq!(format!("{:♥>+#8}", a), "♥♥♥♥♥+10"); +} + +#[test] +fn test_neg() { + assert!(-BigInt::new(Plus, vec![1, 1, 1]) == BigInt::new(Minus, vec![1, 1, 1])); + assert!(-BigInt::new(Minus, vec![1, 1, 1]) == BigInt::new(Plus, vec![1, 1, 1])); + let zero: BigInt = Zero::zero(); + assert_eq!(-&zero, zero); +} + +#[test] +fn test_negative_shr() { + assert_eq!(BigInt::from(-1) >> 1, BigInt::from(-1)); + assert_eq!(BigInt::from(-2) >> 1, BigInt::from(-1)); + assert_eq!(BigInt::from(-3) >> 1, BigInt::from(-2)); + assert_eq!(BigInt::from(-3) >> 2, BigInt::from(-1)); +} + +#[test] +#[cfg(feature = "rand")] +fn test_random_shr() { + use rand::distributions::Standard; + use rand::Rng; + let mut rng = rand::thread_rng(); + + for p in rng.sample_iter::<i64, _>(&Standard).take(1000) { + let big = BigInt::from(p); + let bigger = &big << 1000; + assert_eq!(&bigger >> 1000, big); + for i in 0..64 { + let answer = BigInt::from(p >> i); + assert_eq!(&big >> i, answer); + assert_eq!(&bigger >> (1000 + i), answer); + } + } +} + +#[test] +fn test_iter_sum() { + let result: BigInt = FromPrimitive::from_isize(-1234567).unwrap(); + let data: Vec<BigInt> = vec![ + FromPrimitive::from_i32(-1000000).unwrap(), + FromPrimitive::from_i32(-200000).unwrap(), + FromPrimitive::from_i32(-30000).unwrap(), + FromPrimitive::from_i32(-4000).unwrap(), + FromPrimitive::from_i32(-500).unwrap(), + FromPrimitive::from_i32(-60).unwrap(), + FromPrimitive::from_i32(-7).unwrap(), + ]; + + assert_eq!(result, data.iter().sum()); + assert_eq!(result, data.into_iter().sum()); +} + +#[test] +fn test_iter_product() { + let data: Vec<BigInt> = vec![ + FromPrimitive::from_i32(1001).unwrap(), + FromPrimitive::from_i32(-1002).unwrap(), + FromPrimitive::from_i32(1003).unwrap(), + FromPrimitive::from_i32(-1004).unwrap(), + FromPrimitive::from_i32(1005).unwrap(), + ]; + let result = data.get(0).unwrap() + * data.get(1).unwrap() + * data.get(2).unwrap() + * data.get(3).unwrap() + * data.get(4).unwrap(); + + assert_eq!(result, data.iter().product()); + assert_eq!(result, data.into_iter().product()); +} + +#[test] +fn test_iter_sum_generic() { + let result: BigInt = FromPrimitive::from_isize(-1234567).unwrap(); + let data = vec![-1000000, -200000, -30000, -4000, -500, -60, -7]; + + assert_eq!(result, data.iter().sum()); + assert_eq!(result, data.into_iter().sum()); +} + +#[test] +fn test_iter_product_generic() { + let data = vec![1001, -1002, 1003, -1004, 1005]; + let result = data[0].to_bigint().unwrap() + * data[1].to_bigint().unwrap() + * data[2].to_bigint().unwrap() + * data[3].to_bigint().unwrap() + * data[4].to_bigint().unwrap(); + + assert_eq!(result, data.iter().product()); + assert_eq!(result, data.into_iter().product()); +} + +#[test] +fn test_pow() { + let one = BigInt::from(1i32); + let two = BigInt::from(2i32); + let four = BigInt::from(4i32); + let eight = BigInt::from(8i32); + let minus_two = BigInt::from(-2i32); + macro_rules! check { + ($t:ty) => { + assert_eq!(two.pow(0 as $t), one); + assert_eq!(two.pow(1 as $t), two); + assert_eq!(two.pow(2 as $t), four); + assert_eq!(two.pow(3 as $t), eight); + assert_eq!(two.pow(&(3 as $t)), eight); + assert_eq!(minus_two.pow(0 as $t), one, "-2^0"); + assert_eq!(minus_two.pow(1 as $t), minus_two, "-2^1"); + assert_eq!(minus_two.pow(2 as $t), four, "-2^2"); + assert_eq!(minus_two.pow(3 as $t), -&eight, "-2^3"); + }; + } + check!(u8); + check!(u16); + check!(u32); + check!(u64); + check!(usize); +} |