refined 0.3.1

Simple refinement types; parse, don't validate!
Documentation 
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
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275

use crate::{boundable::*, Predicate, SignedBoundable, UnsignedBoundable};

mod add;
mod div;
mod mul;
mod sub;

/// A type that has a statically knowable unsigned maximum value.
pub trait UnsignedMax<T: UnsignedBoundable>: Predicate<T> {
    /// The maximum value.
    const UMAX: usize;
}

impl<T: UnsignedBoundable, const MAX: usize> UnsignedMax<T> for unsigned::LessThan<MAX> {
    const UMAX: usize = MAX - 1;
}

impl<T: UnsignedBoundable, const MAX: usize> UnsignedMax<T> for unsigned::LessThanEqual<MAX> {
    const UMAX: usize = MAX;
}

impl<T: UnsignedBoundable, const VAL: usize> UnsignedMax<T> for unsigned::Equals<VAL> {
    const UMAX: usize = VAL;
}

impl<T: UnsignedBoundable, const MIN: usize, const MAX: usize> UnsignedMax<T>
    for unsigned::ClosedInterval<MIN, MAX>
{
    const UMAX: usize = MAX;
}

impl<T: UnsignedBoundable, const MIN: usize, const MAX: usize> UnsignedMax<T>
    for unsigned::OpenClosedInterval<MIN, MAX>
{
    const UMAX: usize = MAX;
}

impl<T: UnsignedBoundable, const MIN: usize, const MAX: usize> UnsignedMax<T>
    for unsigned::OpenInterval<MIN, MAX>
{
    const UMAX: usize = MAX - 1;
}

impl<T: UnsignedBoundable, const MIN: usize, const MAX: usize> UnsignedMax<T>
    for unsigned::ClosedOpenInterval<MIN, MAX>
{
    const UMAX: usize = MAX - 1;
}

/// A type that has a statically knowable unsigned minimum value.
pub trait UnsignedMin<T: UnsignedBoundable>: Predicate<T> {
    /// The minimum value.
    const UMIN: usize;
}

impl<T: UnsignedBoundable, const MIN: usize> UnsignedMin<T> for unsigned::GreaterThan<MIN> {
    const UMIN: usize = MIN + 1;
}

impl<T: UnsignedBoundable, const MIN: usize> UnsignedMin<T> for unsigned::GreaterThanEqual<MIN> {
    const UMIN: usize = MIN;
}

impl<T: UnsignedBoundable, const VAL: usize> UnsignedMin<T> for unsigned::Equals<VAL> {
    const UMIN: usize = VAL;
}

impl<T: UnsignedBoundable, const MIN: usize, const MAX: usize> UnsignedMin<T>
    for unsigned::ClosedInterval<MIN, MAX>
{
    const UMIN: usize = MIN;
}

impl<T: UnsignedBoundable, const MIN: usize, const MAX: usize> UnsignedMin<T>
    for unsigned::OpenClosedInterval<MIN, MAX>
{
    const UMIN: usize = MIN + 1;
}

impl<T: UnsignedBoundable, const MIN: usize, const MAX: usize> UnsignedMin<T>
    for unsigned::OpenInterval<MIN, MAX>
{
    const UMIN: usize = MIN + 1;
}

impl<T: UnsignedBoundable, const MIN: usize, const MAX: usize> UnsignedMin<T>
    for unsigned::ClosedOpenInterval<MIN, MAX>
{
    const UMIN: usize = MIN;
}

/// A type that has a statically knowable unsigned minimum value and maximum value.
pub trait UnsignedMinMax<T: UnsignedBoundable>:
    Predicate<T> + UnsignedMin<T> + UnsignedMax<T>
{
}

impl<T: UnsignedBoundable, const VAL: usize> UnsignedMinMax<T> for unsigned::Equals<VAL> {}

impl<T: UnsignedBoundable, const MIN: usize, const MAX: usize> UnsignedMinMax<T>
    for unsigned::ClosedInterval<MIN, MAX>
{
}

impl<T: UnsignedBoundable, const MIN: usize, const MAX: usize> UnsignedMinMax<T>
    for unsigned::OpenClosedInterval<MIN, MAX>
{
}

impl<T: UnsignedBoundable, const MIN: usize, const MAX: usize> UnsignedMinMax<T>
    for unsigned::OpenInterval<MIN, MAX>
{
}

impl<T: UnsignedBoundable, const MIN: usize, const MAX: usize> UnsignedMinMax<T>
    for unsigned::ClosedOpenInterval<MIN, MAX>
{
}

/// A type that has a statically knowable signed maximum value.
pub trait SignedMax<T: SignedBoundable>: Predicate<T> {
    /// The maximum value.
    const UMAX: isize;
}

impl<T: SignedBoundable, const MAX: isize> SignedMax<T> for signed::LessThan<MAX> {
    const UMAX: isize = MAX - 1;
}

impl<T: SignedBoundable, const MAX: isize> SignedMax<T> for signed::LessThanEqual<MAX> {
    const UMAX: isize = MAX;
}

impl<T: SignedBoundable, const VAL: isize> SignedMax<T> for signed::Equals<VAL> {
    const UMAX: isize = VAL;
}

impl<T: SignedBoundable, const MIN: isize, const MAX: isize> SignedMax<T>
    for signed::ClosedInterval<MIN, MAX>
{
    const UMAX: isize = MAX;
}

impl<T: SignedBoundable, const MIN: isize, const MAX: isize> SignedMax<T>
    for signed::OpenClosedInterval<MIN, MAX>
{
    const UMAX: isize = MAX;
}

impl<T: SignedBoundable, const MIN: isize, const MAX: isize> SignedMax<T>
    for signed::OpenInterval<MIN, MAX>
{
    const UMAX: isize = MAX - 1;
}

impl<T: SignedBoundable, const MIN: isize, const MAX: isize> SignedMax<T>
    for signed::ClosedOpenInterval<MIN, MAX>
{
    const UMAX: isize = MAX - 1;
}

/// A type that has a statically knowable signed minimum value.
pub trait SignedMin<T: SignedBoundable>: Predicate<T> {
    /// The minimum value.
    const UMIN: isize;
}

impl<T: SignedBoundable, const MIN: isize> SignedMin<T> for signed::GreaterThan<MIN> {
    const UMIN: isize = MIN + 1;
}

impl<T: SignedBoundable, const MIN: isize> SignedMin<T> for signed::GreaterThanEqual<MIN> {
    const UMIN: isize = MIN;
}

impl<T: SignedBoundable, const VAL: isize> SignedMin<T> for signed::Equals<VAL> {
    const UMIN: isize = VAL;
}

impl<T: SignedBoundable, const MIN: isize, const MAX: isize> SignedMin<T>
    for signed::ClosedInterval<MIN, MAX>
{
    const UMIN: isize = MIN;
}

impl<T: SignedBoundable, const MIN: isize, const MAX: isize> SignedMin<T>
    for signed::OpenClosedInterval<MIN, MAX>
{
    const UMIN: isize = MIN + 1;
}

impl<T: SignedBoundable, const MIN: isize, const MAX: isize> SignedMin<T>
    for signed::OpenInterval<MIN, MAX>
{
    const UMIN: isize = MIN + 1;
}

impl<T: SignedBoundable, const MIN: isize, const MAX: isize> SignedMin<T>
    for signed::ClosedOpenInterval<MIN, MAX>
{
    const UMIN: isize = MIN;
}

/// A type that has a statically knowable signed minimum value and maximum value.
pub trait SignedMinMax<T: SignedBoundable>: Predicate<T> + SignedMin<T> + SignedMax<T> {}

impl<T: SignedBoundable, const VAL: isize> SignedMinMax<T> for signed::Equals<VAL> {}

impl<T: SignedBoundable, const MIN: isize, const MAX: isize> SignedMinMax<T>
    for signed::ClosedInterval<MIN, MAX>
{
}

impl<T: SignedBoundable, const MIN: isize, const MAX: isize> SignedMinMax<T>
    for signed::OpenClosedInterval<MIN, MAX>
{
}

impl<T: SignedBoundable, const MIN: isize, const MAX: isize> SignedMinMax<T>
    for signed::OpenInterval<MIN, MAX>
{
}

impl<T: SignedBoundable, const MIN: isize, const MAX: isize> SignedMinMax<T>
    for signed::ClosedOpenInterval<MIN, MAX>
{
}

pub const fn elem_min(a: isize, b: isize) -> isize {
    if a <= b {
        a
    } else {
        b
    }
}

/// Calculates the minimum bounds for an interval over multiplication.
pub const fn min_mul(xmin: isize, xmax: isize, ymin: isize, ymax: isize) -> isize {
    elem_min(
        xmin * ymin,
        elem_min(xmin * ymax, elem_min(xmax * ymin, xmax * ymax)),
    )
}

/// Calculates the minimum bounds for an interval over division.
pub const fn min_div(xmin: isize, xmax: isize, ymin: isize, ymax: isize) -> isize {
    elem_min(
        xmin / ymin,
        elem_min(xmin / ymax, elem_min(xmax / ymin, xmax / ymax)),
    )
}

pub const fn elem_max(a: isize, b: isize) -> isize {
    if a >= b {
        a
    } else {
        b
    }
}

/// Calculates the maximum bounds for an interval over multiplication.
pub const fn max_mul(xmin: isize, xmax: isize, ymin: isize, ymax: isize) -> isize {
    elem_max(
        xmin * ymin,
        elem_max(xmin * ymax, elem_max(xmax * ymin, xmax * ymax)),
    )
}

/// Calculates the maximum bounds for an interval over division.
pub const fn max_div(xmin: isize, xmax: isize, ymin: isize, ymax: isize) -> isize {
    elem_max(
        xmin / ymin,
        elem_max(xmin / ymax, elem_max(xmax / ymin, xmax / ymax)),
    )
}