1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74

// Copyright © 2024 Mikhail Hogrefe
//
// This file is part of Malachite.
//
// Malachite is free software: you can redistribute it and/or modify it under the terms of the GNU
// Lesser General Public License (LGPL) as published by the Free Software Foundation; either version
// 3 of the License, or (at your option) any later version. See <https://www.gnu.org/licenses/>.

use crate::num::basic::floats::PrimitiveFloat;
use crate::num::conversion::traits::{IsInteger, WrappingFrom};
use crate::num::logic::traits::TrailingZeros;

fn is_integer_float<T: PrimitiveFloat>(x: T) -> bool {
    if x.is_nan() || x.is_infinite() {
        false
    } else if x == T::ZERO {
        true
    } else {
        let (raw_mantissa, raw_exponent) = x.raw_mantissa_and_exponent();
        raw_exponent != 0
            && i64::wrapping_from(
                raw_exponent
                    + if raw_mantissa == 0 {
                        T::MANTISSA_WIDTH
                    } else {
                        TrailingZeros::trailing_zeros(raw_mantissa)
                    },
            ) > -T::MIN_EXPONENT
    }
}

macro_rules! impl_is_integer_primitive_int {
    ($t:ident) => {
        impl IsInteger for $t {
            /// Determines whether a value is an integer.
            ///
            /// For primitive integer types this always returns `true`.
            ///
            /// $f(x) = \textrm{true}$.
            ///
            /// # Worst-case complexity
            /// Constant time and additional memory.
            ///
            /// # Examples
            /// See [here](super::is_integer#is_integer).
            #[inline]
            fn is_integer(self) -> bool {
                true
            }
        }
    };
}
apply_to_primitive_ints!(impl_is_integer_primitive_int);

macro_rules! impl_is_integer_primitive_float {
    ($t:ident) => {
        impl IsInteger for $t {
            /// Determines whether a value is an integer.
            ///
            /// $f(x) = (x \in \Z)$.
            ///
            /// # Worst-case complexity
            /// Constant time and additional memory.
            ///
            /// # Examples
            /// See [here](super::is_integer#is_integer).
            #[inline]
            fn is_integer(self) -> bool {
                is_integer_float(self)
            }
        }
    };
}
apply_to_primitive_floats!(impl_is_integer_primitive_float);