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
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
use num::arithmetic::traits::Parity;
use num::basic::integers::PrimitiveInt;
use num::conversion::string::from_string::digit_from_display_byte;
use num::conversion::string::options::FromSciStringOptions;
use num::conversion::traits::{CheckedFrom, FromSciString};
use rounding_modes::RoundingMode;
use std::cmp::Ordering;
use std::str::FromStr;

#[doc(hidden)]
pub fn parse_exponent(s: &[u8]) -> Option<i64> {
    i64::from_str(std::str::from_utf8(s).ok()?).ok()
}

#[doc(hidden)]
pub fn validate_helper(s: &[u8], base: u8) -> Option<()> {
    for &c in s {
        if digit_from_display_byte(c)? >= base {
            return None;
        }
    }
    Some(())
}

#[doc(hidden)]
pub fn is_zero_helper(s: &[u8], base: u8) -> Option<bool> {
    let mut all_zeros = true;
    for &c in s {
        let d = digit_from_display_byte(c)?;
        if d >= base {
            return None;
        }
        if d != 0 {
            all_zeros = false;
        }
    }
    Some(all_zeros)
}

#[doc(hidden)]
pub fn cmp_half_helper(s: &[u8], base: u8) -> Option<Ordering> {
    if s.is_empty() {
        return Some(Ordering::Less);
    }
    let h = base >> 1;
    let mut done = false;
    let mut result;
    if base.even() {
        // 1/2 is 0.h
        result = Ordering::Equal;
        let mut first = true;
        for &c in s {
            let d = digit_from_display_byte(c)?;
            if d >= base {
                return None;
            }
            if done {
                continue;
            }
            if first {
                let half_c = d.cmp(&h);
                if half_c != Ordering::Equal {
                    result = half_c;
                    done = true;
                }
                first = false;
            } else if d != 0 {
                result = Ordering::Greater;
                done = true;
            }
        }
    } else {
        // 1/2 is 0.hhh...
        result = Ordering::Less;
        for &c in s {
            let d = digit_from_display_byte(c)?;
            if done {
                continue;
            }
            let half_c = d.cmp(&h);
            if half_c != Ordering::Equal {
                result = half_c;
                done = true;
            }
        }
    }
    Some(result)
}

fn parse_int<T: PrimitiveInt>(cs: &[u8], base: u8) -> Option<T> {
    // if T is unsigned, from_string_base won't handle -0
    let mut test_neg_zero = false;
    if T::MIN == T::ZERO {
        if let Some(&b'-') = cs.get(0) {
            test_neg_zero = true;
        }
    }
    if test_neg_zero {
        if cs.len() == 1 {
            return None;
        }
        for &c in &cs[1..] {
            if c != b'0' {
                return None;
            }
        }
        Some(T::ZERO)
    } else {
        T::from_string_base(base, std::str::from_utf8(cs).ok()?)
    }
}

fn up_1<T: PrimitiveInt>(x: T, neg: bool) -> Option<T> {
    if neg {
        x.checked_sub(T::ONE)
    } else {
        x.checked_add(T::ONE)
    }
}

#[doc(hidden)]
pub fn preprocess_sci_string(s: &str, options: FromSciStringOptions) -> Option<(Vec<u8>, i64)> {
    let mut s = s.as_bytes().to_vec();
    let mut exponent = 0;
    if options.base < 15 {
        for (i, &c) in s.iter().enumerate().rev() {
            if c == b'e' || c == b'E' {
                if i == 0 || i == s.len() - 1 {
                    return None;
                }
                exponent = parse_exponent(&s[i + 1..])?;
                s.truncate(i);
                break;
            }
        }
    } else {
        for (i, &c) in s.iter().enumerate().rev() {
            if c == b'+' || c == b'-' {
                if i == 0 {
                    break;
                }
                if i == 1 || i == s.len() - 1 {
                    return None;
                }
                let exp_indicator = s[i - 1];
                if exp_indicator != b'e' && exp_indicator != b'E' {
                    return None;
                }
                exponent = parse_exponent(&s[i..])?;
                s.truncate(i - 1);
                break;
            }
        }
    }
    let mut point_index = None;
    for (i, &c) in s.iter().enumerate() {
        if c == b'.' {
            point_index = Some(i);
            break;
        }
    }
    if let Some(point_index) = point_index {
        let len = s.len();
        if point_index != len - 1 {
            let next_char = s[point_index + 1];
            if next_char == b'+' || next_char == b'-' {
                return None;
            }
            exponent = exponent.checked_sub(i64::checked_from(len - point_index - 1)?)?;
            s.copy_within(point_index + 1..len, point_index);
        }
        s.pop();
    }
    Some((s, exponent))
}

fn from_sci_string_with_options_primitive_int<T: PrimitiveInt>(
    s: &str,
    options: FromSciStringOptions,
) -> Option<T> {
    let (s, exponent) = preprocess_sci_string(s, options)?;
    if exponent >= 0 {
        let x = parse_int::<T>(&s, options.base)?;
        x.checked_mul(T::wrapping_from(options.base).checked_pow(exponent.unsigned_abs())?)
    } else {
        let neg_exponent = usize::checked_from(exponent.unsigned_abs())?;
        let len = s.len();
        if len == 0 {
            return None;
        }
        let first = s[0];
        let neg = first == b'-';
        let sign = neg || first == b'+';
        let rm = if neg {
            -options.rounding_mode
        } else {
            options.rounding_mode
        };
        let sig_len = if sign { len - 1 } else { len };
        if sig_len == 0 {
            return None;
        }
        if neg_exponent > sig_len {
            let s = if sign { &s[1..] } else { &s[..] };
            return match rm {
                RoundingMode::Down | RoundingMode::Floor | RoundingMode::Nearest => {
                    validate_helper(s, options.base)?;
                    Some(T::ZERO)
                }
                RoundingMode::Up | RoundingMode::Ceiling => {
                    if is_zero_helper(s, options.base)? {
                        Some(T::ZERO)
                    } else {
                        up_1(T::ZERO, neg)
                    }
                }
                RoundingMode::Exact => None,
            };
        }
        let (before_e, after_e) = s.split_at(len - neg_exponent);
        let x = match before_e {
            &[] | &[b'-'] | &[b'+'] => T::ZERO,
            before_e => parse_int(before_e, options.base)?,
        };
        if after_e.is_empty() {
            return Some(x);
        }
        match rm {
            RoundingMode::Down | RoundingMode::Floor => {
                validate_helper(after_e, options.base)?;
                Some(x)
            }
            RoundingMode::Up | RoundingMode::Ceiling => {
                if is_zero_helper(after_e, options.base)? {
                    Some(x)
                } else {
                    up_1(x, neg)
                }
            }
            RoundingMode::Exact => {
                if is_zero_helper(after_e, options.base)? {
                    Some(x)
                } else {
                    None
                }
            }
            RoundingMode::Nearest => match cmp_half_helper(after_e, options.base)? {
                Ordering::Less => Some(x),
                Ordering::Greater => up_1(x, neg),
                Ordering::Equal => {
                    if x.even() {
                        Some(x)
                    } else {
                        up_1(x, neg)
                    }
                }
            },
        }
    }
}

macro_rules! impl_from_sci_string {
    ($t:ident) => {
        impl FromSciString for $t {
            /// Converts a [`String`], possibly in scientfic notation, to a primitive integer.
            ///
            /// Use [`FromSciStringOptions`](super::options::FromSciStringOptions) to specify the
            /// base (from 2 to 36, inclusive) and the rounding mode, in case rounding is necessary
            /// because the string represents a non-integer.
            ///
            /// If the base is greater than 10, the higher digits are represented by the letters
            /// `'a'` through `'z'` or `'A'` through `'Z'`; the case doesn't matter and doesn't
            /// need to be consistent.
            ///
            /// Exponents are allowed, and are indicated using the character `'e'` or `'E'`. If the
            /// base is 15 or greater, an ambiguity arises where it may not be clear whether `'e'`
            /// is a digit or an exponent indicator. To resolve this ambiguity, always use a `'+'`
            /// or `'-'` sign after the exponent indicator when the base is 15 or greater.
            ///
            /// The exponent itself is always parsed using base 10.
            ///
            /// Decimal (or other-base) points are allowed. These are most useful in conjunction
            /// with exponents, but they may be used on their own. If the string represents a
            /// non-integer, the rounding mode specified in `options` is used to round to an
            /// integer.
            ///
            /// If the string is unparseable or parses to an out-of-range integer, `None` is
            /// returned. `None` is also returned if the rounding mode in options is `Exact`, but
            /// rounding is necessary.
            ///
            /// # Worst-case complexity
            /// $T(n) = O(n)$
            ///
            /// $M(n) = O(1)$
            ///
            /// where $T$ is time, $M$ is additional memory, and $n$ is `s.len()`.
            ///
            /// # Examples
            /// See [here](super::from_sci_string).
            #[inline]
            fn from_sci_string_with_options(s: &str, options: FromSciStringOptions) -> Option<$t> {
                from_sci_string_with_options_primitive_int(s, options)
            }
        }
    };
}
apply_to_primitive_ints!(impl_from_sci_string);