2019-12-06 22:18:12 -06:00
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macro_rules! int_module {
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($T:ident, $T_i:ident) => {
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#[cfg(test)]
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mod tests {
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use core::ops::{BitAnd, BitOr, BitXor, Not, Shl, Shr};
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use core::$T_i::*;
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use crate::num;
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#[test]
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fn test_overflows() {
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assert!(MAX > 0);
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assert!(MIN <= 0);
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assert_eq!(MIN + MAX + 1, 0);
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}
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#[test]
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fn test_num() {
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num::test_num(10 as $T, 2 as $T);
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}
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#[test]
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fn test_rem_euclid() {
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assert_eq!((-1 as $T).rem_euclid(MIN), MAX);
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}
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#[test]
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pub fn test_abs() {
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assert_eq!((1 as $T).abs(), 1 as $T);
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assert_eq!((0 as $T).abs(), 0 as $T);
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assert_eq!((-1 as $T).abs(), 1 as $T);
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}
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#[test]
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fn test_signum() {
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assert_eq!((1 as $T).signum(), 1 as $T);
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assert_eq!((0 as $T).signum(), 0 as $T);
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assert_eq!((-0 as $T).signum(), 0 as $T);
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assert_eq!((-1 as $T).signum(), -1 as $T);
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}
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#[test]
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fn test_is_positive() {
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assert!((1 as $T).is_positive());
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assert!(!(0 as $T).is_positive());
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assert!(!(-0 as $T).is_positive());
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assert!(!(-1 as $T).is_positive());
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}
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#[test]
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fn test_is_negative() {
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assert!(!(1 as $T).is_negative());
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assert!(!(0 as $T).is_negative());
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assert!(!(-0 as $T).is_negative());
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assert!((-1 as $T).is_negative());
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}
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#[test]
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fn test_bitwise_operators() {
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assert_eq!(0b1110 as $T, (0b1100 as $T).bitor(0b1010 as $T));
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assert_eq!(0b1000 as $T, (0b1100 as $T).bitand(0b1010 as $T));
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assert_eq!(0b0110 as $T, (0b1100 as $T).bitxor(0b1010 as $T));
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assert_eq!(0b1110 as $T, (0b0111 as $T).shl(1));
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assert_eq!(0b0111 as $T, (0b1110 as $T).shr(1));
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assert_eq!(-(0b11 as $T) - (1 as $T), (0b11 as $T).not());
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}
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const A: $T = 0b0101100;
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const B: $T = 0b0100001;
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const C: $T = 0b1111001;
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const _0: $T = 0;
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const _1: $T = !0;
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#[test]
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fn test_count_ones() {
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assert_eq!(A.count_ones(), 3);
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assert_eq!(B.count_ones(), 2);
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assert_eq!(C.count_ones(), 5);
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}
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#[test]
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fn test_count_zeros() {
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2020-09-08 14:39:13 -05:00
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assert_eq!(A.count_zeros(), $T::BITS - 3);
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assert_eq!(B.count_zeros(), $T::BITS - 2);
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assert_eq!(C.count_zeros(), $T::BITS - 5);
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2019-12-06 22:18:12 -06:00
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}
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2020-01-12 16:50:00 -06:00
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#[test]
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fn test_leading_trailing_ones() {
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let a: $T = 0b0101_1111;
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assert_eq!(a.trailing_ones(), 5);
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2020-09-08 14:39:13 -05:00
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assert_eq!((!a).leading_ones(), $T::BITS - 7);
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2020-01-12 16:50:00 -06:00
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assert_eq!(a.reverse_bits().leading_ones(), 5);
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2020-09-08 14:39:13 -05:00
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assert_eq!(_1.leading_ones(), $T::BITS);
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assert_eq!(_1.trailing_ones(), $T::BITS);
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2020-01-12 16:50:00 -06:00
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assert_eq!((_1 << 1).trailing_ones(), 0);
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assert_eq!(MAX.leading_ones(), 0);
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2020-09-08 14:39:13 -05:00
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assert_eq!((_1 << 1).leading_ones(), $T::BITS - 1);
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assert_eq!(MAX.trailing_ones(), $T::BITS - 1);
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2020-01-12 16:50:00 -06:00
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assert_eq!(_0.leading_ones(), 0);
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assert_eq!(_0.trailing_ones(), 0);
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let x: $T = 0b0010_1100;
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assert_eq!(x.leading_ones(), 0);
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assert_eq!(x.trailing_ones(), 0);
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}
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2019-12-06 22:18:12 -06:00
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#[test]
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fn test_rotate() {
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assert_eq!(A.rotate_left(6).rotate_right(2).rotate_right(4), A);
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assert_eq!(B.rotate_left(3).rotate_left(2).rotate_right(5), B);
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assert_eq!(C.rotate_left(6).rotate_right(2).rotate_right(4), C);
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// Rotating these should make no difference
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//
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// We test using 124 bits because to ensure that overlong bit shifts do
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// not cause undefined behaviour. See #10183.
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assert_eq!(_0.rotate_left(124), _0);
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assert_eq!(_1.rotate_left(124), _1);
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assert_eq!(_0.rotate_right(124), _0);
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assert_eq!(_1.rotate_right(124), _1);
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// Rotating by 0 should have no effect
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assert_eq!(A.rotate_left(0), A);
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assert_eq!(B.rotate_left(0), B);
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assert_eq!(C.rotate_left(0), C);
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// Rotating by a multiple of word size should also have no effect
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assert_eq!(A.rotate_left(64), A);
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assert_eq!(B.rotate_left(64), B);
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assert_eq!(C.rotate_left(64), C);
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}
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#[test]
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fn test_swap_bytes() {
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assert_eq!(A.swap_bytes().swap_bytes(), A);
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assert_eq!(B.swap_bytes().swap_bytes(), B);
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assert_eq!(C.swap_bytes().swap_bytes(), C);
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// Swapping these should make no difference
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assert_eq!(_0.swap_bytes(), _0);
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assert_eq!(_1.swap_bytes(), _1);
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}
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#[test]
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fn test_le() {
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assert_eq!($T::from_le(A.to_le()), A);
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assert_eq!($T::from_le(B.to_le()), B);
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assert_eq!($T::from_le(C.to_le()), C);
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assert_eq!($T::from_le(_0), _0);
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assert_eq!($T::from_le(_1), _1);
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assert_eq!(_0.to_le(), _0);
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assert_eq!(_1.to_le(), _1);
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}
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#[test]
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fn test_be() {
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assert_eq!($T::from_be(A.to_be()), A);
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assert_eq!($T::from_be(B.to_be()), B);
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assert_eq!($T::from_be(C.to_be()), C);
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assert_eq!($T::from_be(_0), _0);
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assert_eq!($T::from_be(_1), _1);
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assert_eq!(_0.to_be(), _0);
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assert_eq!(_1.to_be(), _1);
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}
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#[test]
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fn test_signed_checked_div() {
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assert_eq!((10 as $T).checked_div(2), Some(5));
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assert_eq!((5 as $T).checked_div(0), None);
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assert_eq!(isize::MIN.checked_div(-1), None);
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}
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#[test]
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fn test_saturating_abs() {
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assert_eq!((0 as $T).saturating_abs(), 0);
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assert_eq!((123 as $T).saturating_abs(), 123);
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assert_eq!((-123 as $T).saturating_abs(), 123);
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assert_eq!((MAX - 2).saturating_abs(), MAX - 2);
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assert_eq!((MAX - 1).saturating_abs(), MAX - 1);
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assert_eq!(MAX.saturating_abs(), MAX);
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assert_eq!((MIN + 2).saturating_abs(), MAX - 1);
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assert_eq!((MIN + 1).saturating_abs(), MAX);
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assert_eq!(MIN.saturating_abs(), MAX);
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}
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#[test]
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fn test_saturating_neg() {
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assert_eq!((0 as $T).saturating_neg(), 0);
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assert_eq!((123 as $T).saturating_neg(), -123);
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assert_eq!((-123 as $T).saturating_neg(), 123);
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assert_eq!((MAX - 2).saturating_neg(), MIN + 3);
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assert_eq!((MAX - 1).saturating_neg(), MIN + 2);
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assert_eq!(MAX.saturating_neg(), MIN + 1);
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assert_eq!((MIN + 2).saturating_neg(), MAX - 1);
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assert_eq!((MIN + 1).saturating_neg(), MAX);
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assert_eq!(MIN.saturating_neg(), MAX);
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}
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#[test]
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fn test_from_str() {
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2020-10-13 03:17:05 -05:00
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fn from_str<T: std::str::FromStr>(t: &str) -> Option<T> {
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std::str::FromStr::from_str(t).ok()
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2019-12-06 22:18:12 -06:00
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}
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assert_eq!(from_str::<$T>("0"), Some(0 as $T));
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assert_eq!(from_str::<$T>("3"), Some(3 as $T));
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assert_eq!(from_str::<$T>("10"), Some(10 as $T));
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assert_eq!(from_str::<i32>("123456789"), Some(123456789 as i32));
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assert_eq!(from_str::<$T>("00100"), Some(100 as $T));
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assert_eq!(from_str::<$T>("-1"), Some(-1 as $T));
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assert_eq!(from_str::<$T>("-3"), Some(-3 as $T));
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assert_eq!(from_str::<$T>("-10"), Some(-10 as $T));
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assert_eq!(from_str::<i32>("-123456789"), Some(-123456789 as i32));
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assert_eq!(from_str::<$T>("-00100"), Some(-100 as $T));
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assert_eq!(from_str::<$T>(""), None);
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assert_eq!(from_str::<$T>(" "), None);
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assert_eq!(from_str::<$T>("x"), None);
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}
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#[test]
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fn test_from_str_radix() {
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assert_eq!($T::from_str_radix("123", 10), Ok(123 as $T));
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assert_eq!($T::from_str_radix("1001", 2), Ok(9 as $T));
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assert_eq!($T::from_str_radix("123", 8), Ok(83 as $T));
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assert_eq!(i32::from_str_radix("123", 16), Ok(291 as i32));
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assert_eq!(i32::from_str_radix("ffff", 16), Ok(65535 as i32));
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assert_eq!(i32::from_str_radix("FFFF", 16), Ok(65535 as i32));
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assert_eq!($T::from_str_radix("z", 36), Ok(35 as $T));
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assert_eq!($T::from_str_radix("Z", 36), Ok(35 as $T));
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assert_eq!($T::from_str_radix("-123", 10), Ok(-123 as $T));
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assert_eq!($T::from_str_radix("-1001", 2), Ok(-9 as $T));
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assert_eq!($T::from_str_radix("-123", 8), Ok(-83 as $T));
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assert_eq!(i32::from_str_radix("-123", 16), Ok(-291 as i32));
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assert_eq!(i32::from_str_radix("-ffff", 16), Ok(-65535 as i32));
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assert_eq!(i32::from_str_radix("-FFFF", 16), Ok(-65535 as i32));
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assert_eq!($T::from_str_radix("-z", 36), Ok(-35 as $T));
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assert_eq!($T::from_str_radix("-Z", 36), Ok(-35 as $T));
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assert_eq!($T::from_str_radix("Z", 35).ok(), None::<$T>);
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assert_eq!($T::from_str_radix("-9", 2).ok(), None::<$T>);
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}
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#[test]
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fn test_pow() {
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let mut r = 2 as $T;
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assert_eq!(r.pow(2), 4 as $T);
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assert_eq!(r.pow(0), 1 as $T);
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Rearrange the pipeline of `pow` to gain efficiency
The check of the `exp` parameter seems useless if we execute the while-loop more than once.
The original implementation of `pow` function using one more comparison if the `exp==0` and may break the pipeline of the cpu, which may generate a slower code.
The performance gap between the old and the new implementation may be small, but IMO, at least the newer one looks more beautiful.
---
bench prog:
```
extern crate test;
($a:expr)=>{let time=std::time::Instant::now();{$a;}print!("{:?} ",time.elapsed())};
($a:expr,$b:literal)=>{let time=std::time::Instant::now();let mut a=0;for _ in 0..$b{a^=$a;}print!("{:?} {} ",time.elapsed(),a)}
}
pub fn pow_rust(x:i64, mut exp: u32) -> i64 {
let mut base = x;
let mut acc = 1;
while exp > 1 {
if (exp & 1) == 1 {
acc = acc * base;
}
exp /= 2;
base = base * base;
}
if exp == 1 {
acc = acc * base;
}
acc
}
pub fn pow_new(x:i64, mut exp: u32) -> i64 {
if exp==0{
1
}else{
let mut base = x;
let mut acc = 1;
while exp > 1 {
if (exp & 1) == 1 {
acc = acc * base;
}
exp >>= 1;
base = base * base;
}
acc * base
}
}
fn main(){
let a=2i64;
let b=1_u32;
println!();
timing!(test::black_box(a).pow(test::black_box(b)),100000000);
timing!(pow_new(test::black_box(a),test::black_box(b)),100000000);
timing!(pow_rust(test::black_box(a),test::black_box(b)),100000000);
println!();
timing!(test::black_box(a).pow(test::black_box(b)),100000000);
timing!(pow_new(test::black_box(a),test::black_box(b)),100000000);
timing!(pow_rust(test::black_box(a),test::black_box(b)),100000000);
println!();
timing!(test::black_box(a).pow(test::black_box(b)),100000000);
timing!(pow_new(test::black_box(a),test::black_box(b)),100000000);
timing!(pow_rust(test::black_box(a),test::black_box(b)),100000000);
println!();
timing!(test::black_box(a).pow(test::black_box(b)),100000000);
timing!(pow_new(test::black_box(a),test::black_box(b)),100000000);
timing!(pow_rust(test::black_box(a),test::black_box(b)),100000000);
println!();
timing!(test::black_box(a).pow(test::black_box(b)),100000000);
timing!(pow_new(test::black_box(a),test::black_box(b)),100000000);
timing!(pow_rust(test::black_box(a),test::black_box(b)),100000000);
println!();
timing!(test::black_box(a).pow(test::black_box(b)),100000000);
timing!(pow_new(test::black_box(a),test::black_box(b)),100000000);
timing!(pow_rust(test::black_box(a),test::black_box(b)),100000000);
println!();
timing!(test::black_box(a).pow(test::black_box(b)),100000000);
timing!(pow_new(test::black_box(a),test::black_box(b)),100000000);
timing!(pow_rust(test::black_box(a),test::black_box(b)),100000000);
println!();
timing!(test::black_box(a).pow(test::black_box(b)),100000000);
timing!(pow_new(test::black_box(a),test::black_box(b)),100000000);
timing!(pow_rust(test::black_box(a),test::black_box(b)),100000000);
println!();
}
```
bench in my laptop:
```
neutron@Neutron:/me/rust$ rc commit.rs
rustc commit.rs && ./commit
3.978419716s 0 4.079765171s 0 3.964630622s 0
3.997127013s 0 4.260304804s 0 3.997638211s 0
3.963195544s 0 4.11657718s 0 4.176054164s 0
3.830128579s 0 3.980396122s 0 3.937258567s 0
3.986055948s 0 4.127804162s 0 4.018943411s 0
4.185568857s 0 4.217512517s 0 3.98313603s 0
3.863018225s 0 4.030447988s 0 3.694878237s 0
4.206987927s 0 4.137608047s 0 4.115564664s 0
neutron@Neutron:/me/rust$ rc commit.rs -O
rustc commit.rs -O && ./commit
162.111993ms 0 165.107125ms 0 166.26924ms 0
175.20479ms 0 205.062565ms 0 176.278791ms 0
174.408975ms 0 166.526899ms 0 201.857604ms 0
146.190062ms 0 168.592821ms 0 154.61411ms 0
199.678912ms 0 168.411598ms 0 162.129996ms 0
147.420765ms 0 209.759326ms 0 154.807907ms 0
165.507134ms 0 188.476239ms 0 157.351524ms 0
121.320123ms 0 126.401229ms 0 114.86428ms 0
```
delete an unnecessary semicolon...
Sorry for the typo.
delete trailing whitespace
Sorry, too..
Sorry for the missing...
I checked all the implementations, and finally found that there is one function that does not check whether `exp == 0`
add extra tests
add extra tests.
finished adding the extra tests to prevent further typo
add pow(2) to negative exp
add whitespace.
add whitespace
add whitespace
delete extra line
2020-07-15 09:39:39 -05:00
|
|
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assert_eq!(r.wrapping_pow(2), 4 as $T);
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|
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assert_eq!(r.wrapping_pow(0), 1 as $T);
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assert_eq!(r.checked_pow(2), Some(4 as $T));
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assert_eq!(r.checked_pow(0), Some(1 as $T));
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assert_eq!(r.overflowing_pow(2), (4 as $T, false));
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assert_eq!(r.overflowing_pow(0), (1 as $T, false));
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assert_eq!(r.saturating_pow(2), 4 as $T);
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assert_eq!(r.saturating_pow(0), 1 as $T);
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r = MAX;
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// use `^` to represent .pow() with no overflow.
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// if itest::MAX == 2^j-1, then itest is a `j` bit int,
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// so that `itest::MAX*itest::MAX == 2^(2*j)-2^(j+1)+1`,
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// thussaturating_pow the overflowing result is exactly 1.
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assert_eq!(r.wrapping_pow(2), 1 as $T);
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assert_eq!(r.checked_pow(2), None);
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assert_eq!(r.overflowing_pow(2), (1 as $T, true));
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assert_eq!(r.saturating_pow(2), MAX);
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//test for negative exponent.
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2019-12-06 22:18:12 -06:00
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r = -2 as $T;
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assert_eq!(r.pow(2), 4 as $T);
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assert_eq!(r.pow(3), -8 as $T);
|
Rearrange the pipeline of `pow` to gain efficiency
The check of the `exp` parameter seems useless if we execute the while-loop more than once.
The original implementation of `pow` function using one more comparison if the `exp==0` and may break the pipeline of the cpu, which may generate a slower code.
The performance gap between the old and the new implementation may be small, but IMO, at least the newer one looks more beautiful.
---
bench prog:
```
extern crate test;
($a:expr)=>{let time=std::time::Instant::now();{$a;}print!("{:?} ",time.elapsed())};
($a:expr,$b:literal)=>{let time=std::time::Instant::now();let mut a=0;for _ in 0..$b{a^=$a;}print!("{:?} {} ",time.elapsed(),a)}
}
pub fn pow_rust(x:i64, mut exp: u32) -> i64 {
let mut base = x;
let mut acc = 1;
while exp > 1 {
if (exp & 1) == 1 {
acc = acc * base;
}
exp /= 2;
base = base * base;
}
if exp == 1 {
acc = acc * base;
}
acc
}
pub fn pow_new(x:i64, mut exp: u32) -> i64 {
if exp==0{
1
}else{
let mut base = x;
let mut acc = 1;
while exp > 1 {
if (exp & 1) == 1 {
acc = acc * base;
}
exp >>= 1;
base = base * base;
}
acc * base
}
}
fn main(){
let a=2i64;
let b=1_u32;
println!();
timing!(test::black_box(a).pow(test::black_box(b)),100000000);
timing!(pow_new(test::black_box(a),test::black_box(b)),100000000);
timing!(pow_rust(test::black_box(a),test::black_box(b)),100000000);
println!();
timing!(test::black_box(a).pow(test::black_box(b)),100000000);
timing!(pow_new(test::black_box(a),test::black_box(b)),100000000);
timing!(pow_rust(test::black_box(a),test::black_box(b)),100000000);
println!();
timing!(test::black_box(a).pow(test::black_box(b)),100000000);
timing!(pow_new(test::black_box(a),test::black_box(b)),100000000);
timing!(pow_rust(test::black_box(a),test::black_box(b)),100000000);
println!();
timing!(test::black_box(a).pow(test::black_box(b)),100000000);
timing!(pow_new(test::black_box(a),test::black_box(b)),100000000);
timing!(pow_rust(test::black_box(a),test::black_box(b)),100000000);
println!();
timing!(test::black_box(a).pow(test::black_box(b)),100000000);
timing!(pow_new(test::black_box(a),test::black_box(b)),100000000);
timing!(pow_rust(test::black_box(a),test::black_box(b)),100000000);
println!();
timing!(test::black_box(a).pow(test::black_box(b)),100000000);
timing!(pow_new(test::black_box(a),test::black_box(b)),100000000);
timing!(pow_rust(test::black_box(a),test::black_box(b)),100000000);
println!();
timing!(test::black_box(a).pow(test::black_box(b)),100000000);
timing!(pow_new(test::black_box(a),test::black_box(b)),100000000);
timing!(pow_rust(test::black_box(a),test::black_box(b)),100000000);
println!();
timing!(test::black_box(a).pow(test::black_box(b)),100000000);
timing!(pow_new(test::black_box(a),test::black_box(b)),100000000);
timing!(pow_rust(test::black_box(a),test::black_box(b)),100000000);
println!();
}
```
bench in my laptop:
```
neutron@Neutron:/me/rust$ rc commit.rs
rustc commit.rs && ./commit
3.978419716s 0 4.079765171s 0 3.964630622s 0
3.997127013s 0 4.260304804s 0 3.997638211s 0
3.963195544s 0 4.11657718s 0 4.176054164s 0
3.830128579s 0 3.980396122s 0 3.937258567s 0
3.986055948s 0 4.127804162s 0 4.018943411s 0
4.185568857s 0 4.217512517s 0 3.98313603s 0
3.863018225s 0 4.030447988s 0 3.694878237s 0
4.206987927s 0 4.137608047s 0 4.115564664s 0
neutron@Neutron:/me/rust$ rc commit.rs -O
rustc commit.rs -O && ./commit
162.111993ms 0 165.107125ms 0 166.26924ms 0
175.20479ms 0 205.062565ms 0 176.278791ms 0
174.408975ms 0 166.526899ms 0 201.857604ms 0
146.190062ms 0 168.592821ms 0 154.61411ms 0
199.678912ms 0 168.411598ms 0 162.129996ms 0
147.420765ms 0 209.759326ms 0 154.807907ms 0
165.507134ms 0 188.476239ms 0 157.351524ms 0
121.320123ms 0 126.401229ms 0 114.86428ms 0
```
delete an unnecessary semicolon...
Sorry for the typo.
delete trailing whitespace
Sorry, too..
Sorry for the missing...
I checked all the implementations, and finally found that there is one function that does not check whether `exp == 0`
add extra tests
add extra tests.
finished adding the extra tests to prevent further typo
add pow(2) to negative exp
add whitespace.
add whitespace
add whitespace
delete extra line
2020-07-15 09:39:39 -05:00
|
|
|
assert_eq!(r.pow(0), 1 as $T);
|
|
|
|
assert_eq!(r.wrapping_pow(2), 4 as $T);
|
|
|
|
assert_eq!(r.wrapping_pow(3), -8 as $T);
|
|
|
|
assert_eq!(r.wrapping_pow(0), 1 as $T);
|
|
|
|
assert_eq!(r.checked_pow(2), Some(4 as $T));
|
|
|
|
assert_eq!(r.checked_pow(3), Some(-8 as $T));
|
|
|
|
assert_eq!(r.checked_pow(0), Some(1 as $T));
|
|
|
|
assert_eq!(r.overflowing_pow(2), (4 as $T, false));
|
|
|
|
assert_eq!(r.overflowing_pow(3), (-8 as $T, false));
|
|
|
|
assert_eq!(r.overflowing_pow(0), (1 as $T, false));
|
|
|
|
assert_eq!(r.saturating_pow(2), 4 as $T);
|
|
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assert_eq!(r.saturating_pow(3), -8 as $T);
|
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|
assert_eq!(r.saturating_pow(0), 1 as $T);
|
2019-12-06 22:18:12 -06:00
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}
|
2015-01-02 01:53:35 -06:00
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}
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2019-12-06 22:18:12 -06:00
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|
|
};
|
2014-06-28 15:57:36 -05:00
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}
|