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
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
// numera::number::family
//
//!
//

use super::{
    integer::AnyInteger,
    rational::AnyRational, // real::AnyReal, complex::AnyComplex,
    traits::{self, Numbers},
    NoNumber,
};

/// The family of *non-custom* numbers.
///
/// This is an alias of [`AnyNumber`] which allows to concisely use variants
/// other than `Any`, without having to specify a type.
pub type Number = AnyNumber<NoNumber>;

/// Abbreviation of [`AnyNumber`] family.
pub type AnyN<N> = AnyNumber<N>;

/// Defines the `AnyNumber` family and implements `Numbers` on it.
macro_rules! define_numbers {
    // applies a method to each variant
    (match_variants:
        $self:ident,
        $method:ident,
        no_std: $($v:ident),+
    ) => {
        match $self {
            $( AnyNumber::$v(n) => n.$method(), )+
            AnyNumber::Any(n) => n.$method(),
        }
    };

    // applies a method to each variant and re-wraps it
    (match_variants_rewrap:
        $self:ident,
        $method:ident,
        no_std: $($v:ident),+
    ) => {
        match $self {
            $( AnyNumber::$v(n) => n.$method().map(|n| AnyNumber::$v(n)), )+
            AnyNumber::Any(n) => n.$method().map(|n| AnyNumber::Any(n)),
        }
    };

    // $v: variant name
    // $t: variant data type
    (build_variants:
        no_std: $($v:ident, $t:ident),+
    ) => {
        /// The family of [any kind of number][super], also known as [`AnyN`].
        ///
        /// # Notes
        /// Note that it wont have several specific traits implemented, like for
        /// example [`Zero`][traits::Zero] or [`NonZero`][traits::NonZero],
        /// since they are mutually exclusive, and don't apply to all cases.
        ///
        /// The [`Number`] alias is more convenient to use unless you need to
        /// refer to custom numbers via the [`Any`][AnyNumber::Any] variant.
        #[derive(Clone, Debug, PartialEq)]
        #[non_exhaustive]
        #[allow(clippy::derive_partial_eq_without_eq)]
        pub enum AnyNumber<N: Numbers> {
            $( $v($t),)+

            /// Any kind of number.
            Any(N)
        }

        /* impl Numbers */

        /// This implementation is no-op.
        impl<N: Numbers> Numbers for AnyNumber<N> {
            type InnerRepr = Self;
            type InnermostRepr = Self;

            /// Returns `value` unchanged.
            #[inline]
            fn from_inner_repr(value: Self) -> $crate::all::NumeraResult<Self> { Ok(value) }

            /// Returns `value` unchanged.
            #[inline]
            #[cfg(not(feature = "safe"))]
            #[cfg_attr(feature = "nightly", doc(cfg(feature = "not(safe)")))]
            unsafe fn from_inner_repr_unchecked(value: AnyNumber<N>) -> Self { value }

            /// Returns `value` unchanged.
            #[inline]
            fn from_innermost_repr(value: Self) -> $crate::all::NumeraResult<Self> { Ok(value) }

            /// Returns `value` unchanged.
            ///
            /// # Safety
            /// This is safe
            #[inline]
            #[cfg(not(feature = "safe"))]
            #[cfg_attr(feature = "nightly", doc(cfg(feature = "not(safe)")))]
            unsafe fn from_innermost_repr_unchecked(value: Self) -> Self { value }

            /// Returns `self`.
            #[inline]
            fn into_inner_repr(self) -> Self::InnerRepr { self }
            /// Returns `self`.
            #[inline]
            fn into_innermost_repr(self) -> Self::InnermostRepr { self }
        }

        /// This implementation defers to the actual number variant.
        impl<N: Numbers> traits::Bound for AnyNumber<N> {
            fn is_lower_bounded(&self) -> bool {
                define_numbers! { match_variants: self, is_lower_bounded, no_std: $($v),+ }
            }
            fn is_upper_bounded(&self) -> bool {
                define_numbers! { match_variants: self, is_lower_bounded, no_std: $($v),+ }
            }
            fn lower_bound(&self) -> Option<Self> {
                define_numbers! { match_variants_rewrap: self, lower_bound, no_std: $($v),+ }
            }
            fn upper_bound(&self) -> Option<Self> {
                define_numbers! { match_variants_rewrap: self, upper_bound, no_std: $($v),+ }
            }
        }

        /// This implementation defers to the actual number variant.
        impl<N: Numbers> traits::Count for AnyNumber<N> {
            fn is_countable(&self) -> bool {
                define_numbers! { match_variants: self, is_countable, no_std: $($v),+ }
            }
        }

        /// This implementation defers to the actual number variant.
        impl<N: Numbers> traits::Sign for AnyNumber<N> {
            fn can_positive(&self) -> bool {
                define_numbers! { match_variants: self, can_positive, no_std: $($v),+ }
            }
            fn can_negative(&self) -> bool {
                define_numbers! { match_variants: self, can_negative, no_std: $($v),+ }
            }
            fn is_positive(&self) -> bool {
                define_numbers! { match_variants: self, is_positive, no_std: $($v),+ }
            }
            fn is_negative(&self) -> bool {
                define_numbers! { match_variants: self, is_negative, no_std: $($v),+ }
            }
        }

        /// This implementation defers to the actual number variant.
        impl<N: Numbers> traits::Ident for AnyNumber<N> {
            fn can_zero(&self) -> bool {
                define_numbers! { match_variants: self, can_zero, no_std: $($v),+ }
            }
            fn can_one(&self) -> bool {
                define_numbers! { match_variants: self, can_one, no_std: $($v),+ }
            }
            fn can_neg_one(&self) -> bool {
                define_numbers! { match_variants: self, can_neg_one, no_std: $($v),+ }
            }
            fn is_zero(&self) -> bool {
                define_numbers! { match_variants: self, is_zero, no_std: $($v),+ }
            }
            fn is_one(&self) -> bool {
                define_numbers! { match_variants: self, is_one, no_std: $($v),+ }
            }
            fn is_neg_one(&self) -> bool {
                define_numbers! { match_variants: self, is_neg_one, no_std: $($v),+ }
            }
        }

        /* impl From & TryFrom */

        $(
        impl<N: Numbers> From<$t> for AnyNumber<N> {
            #[inline]
            fn from(n: $t) -> AnyNumber<N> { AnyNumber::$v(n) }
        }
        )+

        $(
        impl<N: Numbers> TryFrom<AnyNumber<N>> for $t {
            type Error = crate::error::NumeraError;
            fn try_from(n: AnyNumber<N>) -> core::result::Result<$t, Self::Error> {
                match n {
                    AnyNumber::$v(n) => Ok(n),
                    _ => Err(Self::Error::Conversion)
                }
            }
        }
        )+
    };
}

#[rustfmt::skip]
define_numbers![build_variants:
    no_std:
    Integer, AnyInteger,
    Rational, AnyRational
    // Real, AnyReals,
    // Complex, AnyComplex,
];