blob: 1eb0889066ed458d7cc36c6ae048235bdaff275f [file] [log] [blame]
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]);
}
#[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]);
}
#[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_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(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);
}