twibint 0.3.2

Crate for arithmetic on arbitrarily large integers. Provides Python bindings as well.
Documentation 
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use crate::traits::Digit;
use crate::BigUint;
use typed_test_gen::test_with;

use crate::BigInt;

use crate::bigfloat::BigFloat;

#[test_with(u32, u64)]
fn test_big_float_from_int<T: Digit>() {
    let int = BigInt::<T>::default();
    let f = BigFloat::<T>::from(int.clone());

    assert_eq!(f.int, int);
    assert_eq!(f.scale, 0);
}

#[test_with(u32, u64)]
fn test_big_float_from_uint<T: Digit>() {
    let int = BigInt::<T>::default();
    let f = BigFloat::<T>::from(int.uint.clone());

    assert_eq!(f.int, int);
    assert_eq!(f.scale, 0);
}

#[test_with(u32, u64)]
fn test_big_float_from_big_uint<T: Digit>() {
    let uint = BigUint::<T>::from(vec![T::ZERO, T::ZERO, T::MAX, T::MAX]);
    let f = BigFloat::<T>::from(uint.clone());

    assert_eq!(f.int, BigInt::from(BigUint::from(vec![T::MAX, T::MAX])));
    assert_eq!(f.scale, 2);
}

#[test_with(u32, u64)]
fn test_trailing_zeros<T: Digit>() {
    let u = T::MAX - T::ONE;
    assert_eq!(u.leading_zeros(), 0);
    assert_eq!(u.trailing_zeros(), 1);
}

#[test_with(u32, u64)]
fn test_eq_bigint<T: Digit>() {
    let n1 = BigFloat::<T>::default();
    let mut n2 = BigFloat::<T>::default();
    n2.int.sign = false;
    let n3 = BigInt::<T>::default();
    let mut n33 = BigInt::<T>::default();
    n33.sign = false;
    let n333 = BigUint::<T>::default();

    let n4 = BigFloat::<T>::from(BigInt::<T>::from_unsigned(T::MAX)) << T::NB_BITS;
    let n5 = BigFloat::<T>::from(BigInt::from_unsigned(T::MAX)) >> T::NB_BITS;
    let n6 = BigInt::<T>::from(vec![T::ZERO, T::MAX]);
    let n7 = BigInt::<T>::from(vec![T::MAX]);
    let n8 = BigUint::<T>::new(T::MAX);
    let n9 = BigUint::<T>::from(vec![T::ZERO, T::MAX]);

    assert_eq!(n1, n2);
    assert_eq!(n1, n3);
    assert_eq!(n1, n33);
    assert_eq!(n2, n3);
    assert_eq!(n2, n33);
    assert_eq!(n1, n333);
    assert_eq!(n2, n333);

    assert_eq!(n4, n6);
    assert_eq!(n4, n9);
    assert_ne!(n4, n5);
    assert_ne!(n4, n7);
    assert_ne!(n4, n8);
    assert_ne!(n5, n6);
    assert_ne!(n5, n7);
}

#[test_with(u32, u64)]
fn test_ord<T: Digit>() {
    use std::cmp::Ordering;

    let n1 = BigFloat::<T>::from(vec![T::MAX, T::MAX]) >> T::NB_BITS;
    let n2 = vec![T::ONE, T::MAX, T::MAX];
    let n3 = vec![T::MAX];
    let n4 = vec![T::MAX, T::MAX];
    let n5 = vec![T::ONE, T::MAX];
    let n6 = vec![T::MAX, T::MAX, T::ONE];

    assert_eq!(n1.float_unsigned_ord(0, &n2), Ordering::Less);
    assert_eq!(n1.float_unsigned_ord(-1, &n2), Ordering::Less);
    assert_eq!(n1.float_unsigned_ord(-2, &n2), Ordering::Less);
    assert_eq!(n1.float_unsigned_ord(-3, &n2), Ordering::Greater);

    assert_eq!(n1.float_unsigned_ord(0, &n3), Ordering::Greater);
    assert_eq!(n1.float_unsigned_ord(1, &n3), Ordering::Less);

    assert_eq!(n1.float_unsigned_ord(0, &n4), Ordering::Less);
    assert_eq!(n1.float_unsigned_ord(-1, &n4), Ordering::Equal);
    assert_eq!(n1.float_unsigned_ord(-2, &n4), Ordering::Greater);

    assert_eq!(n1.float_unsigned_ord(0, &n5), Ordering::Less);
    assert_eq!(n1.float_unsigned_ord(-1, &n5), Ordering::Greater);
    assert_eq!(n1.float_unsigned_ord(-2, &n5), Ordering::Greater);

    assert_eq!(n1.float_unsigned_ord(0, &n6), Ordering::Less);
    assert_eq!(n1.float_unsigned_ord(-1, &n6), Ordering::Less);
    assert_eq!(n1.float_unsigned_ord(-2, &n6), Ordering::Greater);
    assert_eq!(n1.float_unsigned_ord(-3, &n6), Ordering::Greater);
}

#[test_with(u32, u64)]
fn test_ord_2<T: Digit>() {
    let mut n1 = BigFloat::<T>::from(vec![T::MAX, T::MAX]) >> T::NB_BITS;
    let n2 = BigFloat::<T>::from(vec![T::ONE, T::MAX, T::MAX]);
    let mut n3 = BigFloat::<T>::from(vec![T::MAX]);
    let n4 = BigFloat::<T>::from(vec![T::MAX, T::MAX]);
    let n5 = BigFloat::<T>::from(vec![T::ONE, T::MAX]);
    let n6 = BigFloat::<T>::from(vec![T::MAX, T::MAX, T::ONE]);

    assert!(n1 < n2);
    assert!(n1 < (&n2 >> T::NB_BITS));
    assert!(n1 < (&n2 >> 2 * T::NB_BITS));
    assert!(n1 > (&n2 >> 3 * T::NB_BITS));

    assert!(n1 > n3);
    assert!(n1 < (&n3 << T::NB_BITS));

    assert!(n1 < n4);
    assert!(n1 == (&n4 >> T::NB_BITS));
    assert!(n1 > (&n4 >> 2 * T::NB_BITS));

    assert!(n1 < n5);
    assert!(n1 > (&n5 >> T::NB_BITS));
    assert!(n1 > (&n5 >> 2 * T::NB_BITS));

    assert!(n1 < n6);
    assert!(n1 < (&n6 >> T::NB_BITS));
    assert!(n1 > (&n6 >> 2 * T::NB_BITS));

    n1.int.sign = false;
    assert!(n1 < (n2 >> 3 * T::NB_BITS));
    assert!(n1 < n3);
    assert!(n1 < (n4 >> 2 * T::NB_BITS));
    assert!(n1 < (n5 >> 2 * T::NB_BITS));
    assert!(n1 < (n6 >> 2 * T::NB_BITS));

    n3.int.sign = false;
    assert!(n3 > n1);
}
#[test_with(u32, u64)]
fn test_ord_3<T: Digit>() {
    let mut n1 = BigFloat::<T>::from(vec![T::MAX, T::MAX]) >> T::NB_BITS;
    let n2 = BigUint::<T>::from(vec![T::ONE, T::MAX, T::MAX]);
    let n3 = BigUint::<T>::from(vec![T::MAX]);
    let n4 = BigUint::<T>::from(vec![T::MAX, T::MAX]);
    let n5 = BigUint::<T>::from(vec![T::ONE, T::MAX]);
    let n6 = BigUint::<T>::from(vec![T::MAX, T::MAX, T::ONE]);

    assert!(n1 < n2);

    assert!(n1 > n3);
    assert!(n1 < (&n3 << T::NB_BITS));

    assert!(n1 < n4);
    assert!(n1 > (&n4 >> T::NB_BITS));

    assert!(n1 < n5);

    assert!(n1 < n6);

    n1.int.sign = false;
    assert!(n1 < (n2 >> 3 * T::NB_BITS));
    assert!(n1 < n3);
    assert!(n1 < (n4 >> 2 * T::NB_BITS));
    assert!(n1 < (n5 >> 2 * T::NB_BITS));
    assert!(n1 < (n6 >> 2 * T::NB_BITS));
}

#[test_with(u32, u64)]
fn test_ord_4<T: Digit>() {
    let mut n1 = BigFloat::<T>::from(vec![T::MAX, T::MAX]) >> T::NB_BITS;
    let n2 = BigInt::<T>::from(vec![T::ONE, T::MAX, T::MAX]);
    let mut n3 = BigInt::<T>::from(vec![T::MAX]);
    let n4 = BigInt::<T>::from(vec![T::MAX, T::MAX]);
    let n5 = BigInt::<T>::from(vec![T::ONE, T::MAX]);
    let n6 = BigInt::<T>::from(vec![T::MAX, T::MAX, T::ONE]);

    assert!(n1 < n2);

    assert!(n1 > n3);
    assert!(n1 < (&n3 << T::NB_BITS));

    assert!(n1 < n4);
    assert!(n1 > (&n4 >> T::NB_BITS));

    assert!(n1 < n5);

    assert!(n1 < n6);

    n1.int.sign = false;
    assert!(n1 < (n2 >> 3 * T::NB_BITS));
    assert!(n1 < n3);
    assert!(n1 < (n4 >> 2 * T::NB_BITS));
    assert!(n1 < (n5 >> 2 * T::NB_BITS));
    assert!(n1 < (n6 >> 2 * T::NB_BITS));

    n3.sign = false;
    assert!(n3 > n1);
}

#[test_with(u32, u64)]
fn test_round_1<T: Digit>() {
    let n1 = BigFloat::<T>::from(vec![T::MAX, T::ZERO, T::ONE]);

    let should_get = BigFloat::from(BigInt::from(vec![T::MAX, T::ZERO, T::ONE]));
    let mut a = n1.clone();
    let mut b = &n1 << T::NB_BITS;
    let mut c = &n1 << 2 * T::NB_BITS;
    a.round();
    b.round();
    c.round();

    assert_eq!(should_get, a);
    assert_eq!(&should_get << T::NB_BITS, b);
    assert_eq!(&should_get << 2 * T::NB_BITS, c);
}

#[test_with(u32, u64)]
fn test_round_2<T: Digit>() {
    let mut n1 = BigFloat::<T>::from(vec![T::MAX, T::MAX, T::MAX]) >> 4 * T::NB_BITS;
    n1.round();

    assert_eq!(BigInt::default(), n1);
}

#[test_with(u32, u64)]
fn test_round_3<T: Digit>() {
    let mut adjust_1 =
        BigFloat::<T>::from(vec![T::ZERO, T::ONE, T::ONE << (T::NB_BITS - 1)]) >> 3 * T::NB_BITS;
    let mut no_adjust_2 =
        BigFloat::<T>::from(vec![T::ZERO, T::ZERO, T::ONE << (T::NB_BITS - 1)]) >> 3 * T::NB_BITS;
    let mut no_adjust_1 = BigFloat::<T>::from(vec![T::ZERO, T::ONE, T::ZERO]) >> 3 * T::NB_BITS;

    adjust_1.round();
    no_adjust_2.round();
    no_adjust_1.round();

    assert_eq!(adjust_1, BigFloat::from(BigInt::from(vec![T::ONE])));
    assert_eq!(no_adjust_2, BigFloat::from(BigInt::from(vec![T::ZERO])));
    assert_eq!(no_adjust_1, BigFloat::from(BigInt::from(vec![T::ZERO])));
}

#[test_with(u32, u64)]
fn test_round_4<T: Digit>() {
    let mut adjust_1 =
        BigFloat::<T>::from(vec![T::ZERO, T::ONE, T::ONE << (T::NB_BITS - 1), T::ONE])
            >> 3 * T::NB_BITS;
    let mut no_adjust_2 =
        BigFloat::<T>::from(vec![T::ZERO, T::ZERO, T::ONE << (T::NB_BITS - 1), T::ONE])
            >> 3 * T::NB_BITS;
    let mut no_adjust_1 =
        BigFloat::<T>::from(vec![T::ZERO, T::ONE, T::ZERO, T::ONE]) >> 3 * T::NB_BITS;

    adjust_1.round();
    no_adjust_2.round();
    no_adjust_1.round();

    assert_eq!(adjust_1, BigFloat::from(BigInt::from(vec![T::TWO])));
    assert_eq!(no_adjust_2, BigFloat::from(BigInt::from(vec![T::ONE])));
    assert_eq!(no_adjust_1, BigFloat::from(BigInt::from(vec![T::ONE])));
}

#[test_with(u32, u64)]
fn test_binary<T: Digit>() {
    let n1 = -BigFloat::from(vec![T::ONE]);
    let n2 = &n1 << T::NB_BITS;
    let n3 = (&n1 >> T::NB_BITS) - T::ONE;

    let mut ret1 = "-".to_string();
    for _ in 0..T::NB_BITS - 1 {
        ret1.push('0');
    }
    ret1.push('1');
    let mut ret2 = ret1.clone();
    for _ in 0..T::NB_BITS {
        ret2.push('0');
    }
    let mut ret3 = ret1.clone();
    ret3.push('.');
    ret3.push_str(&ret1[1..]);

    assert_eq!(format!("{:b}", n1), ret1);
    assert_eq!(format!("{:b}", n2), ret2);
    assert_eq!(format!("{:b}", n3), ret3);
}