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
use super::{Scanner, Result, basic::*};
use num_bigint::BigInt;
use num_traits::{identities::Zero, ToPrimitive, Signed};
use crate::utils::char::{CharPredicate, Stream};
use crate::lexeme::{Rational, Lexeme};
use crate::lexeme::Lexeme::{Integer, Float};
use crate::error::Diagnostic;
use crate::error::DiagnosticMessage::Error;
use crate::error::Error::FloatOutOfBound;
use crate::scanner::Location;
pub const MAXIMUM_EXPONENT: i64 = 4096;
impl<I: std::io::Read> Scanner<I> {
pub fn numeric_literal(&mut self) -> Result<Lexeme> {
alt!(self, Self::float, Self::integer);
Self::keep_trying()
}
pub(super) fn app_int(base: u32) -> impl Fn(&mut BigInt, char) {
move |r, x| {
*r *= base;
*r += x.to_digit(base).unwrap()
}
}
fn decimal_cont(&mut self, x: BigInt) -> Option<(usize, BigInt)> {
let cont = |(n, d): &mut (usize, BigInt), c: char| {
Self::app_int(10)(d, c);
*n += 1
};
analyse!(self, d: {(0, x)}{cont} +Digit);
Some(d)
}
fn decimal(&mut self) -> Option<BigInt> {
self.decimal_cont(BigInt::from(0)).map(|(_, x)| x)
}
fn integer(&mut self) -> Option<Lexeme> {
simple_alt!(self,
choice!(d; '0', "oO", d: {BigInt::from(0)}{Self::app_int(8)} +Octit),
choice!(d; '0', "xX", d: {BigInt::from(0)}{Self::app_int(16)} +Hexit),
Self::decimal).map(Integer)
}
fn make_float(&mut self, d: BigInt, n: usize, mut exp: BigInt,
start_loc: Location) -> Option<Rational> {
exp -= n;
Some(match exp.to_i64() {
Some(x) if (0..=MAXIMUM_EXPONENT).contains(&x) =>
Rational::from(d * BigInt::from(10).pow(x as u32)),
Some(x) if (-MAXIMUM_EXPONENT..0).contains(&x) =>
Rational::new(d, BigInt::from(10).pow((-x) as u32)),
_ => {
let signum = exp.signum();
Diagnostic::new(self.location, Error(FloatOutOfBound(exp)))
.within(start_loc, self.location)
.report(&mut self.diagnostics);
Rational::new(signum, BigInt::zero())
}
})
}
fn float1(&mut self) -> Option<Rational> {
let start_loc = self.location;
let d = self.decimal()?;
analyse!(self, '.');
let (n, d) = self.decimal_cont(d)?;
let exp = self.exponent().unwrap_or_else(BigInt::zero);
self.make_float(d, n, exp, start_loc)
}
fn float2(&mut self) -> Option<Rational> {
let start_loc = self.location;
let d = self.decimal()?;
let exp = self.exponent()?;
self.make_float(d, 0, exp, start_loc)
}
fn float(&mut self) -> Option<Lexeme> {
simple_alt!(self, Self::float1, Self::float2).map(Float)
}
fn exponent(&mut self) -> Option<BigInt> {
analyse!(self, "eE");
let sign = self.anchored(choice!(c; c: "+-")).unwrap_or('+');
self.decimal().map(|x| if sign == '+' { x } else { -x })
}
}
#[cfg(test)]
mod tests {
use num_bigint::BigInt;
use crate::scanner::test_scanner_on;
use crate::utils::setup_logger;
use crate::utils::Result3::Success;
use crate::lexeme::Lexeme::{self, Integer, Float};
use crate::lexeme::Rational;
#[test]
fn test_numerics() {
setup_logger();
fn test(input: &str, res: Lexeme) {
trace!(scanner, "test on {:?} ...", input);
test_scanner_on(input, method!(numeric_literal), Success(res), None);
}
test("42", Integer(BigInt::from(42)));
test("0xcd", Integer(BigInt::from(0xcd)));
test("0o42", Integer(BigInt::from(0o42)));
test("3.1415", Float(Rational::new(31415, 10000)));
test("1.5e4", Float(Rational::from(BigInt::from(15000))));
test("1.5e+3", Float(Rational::from(BigInt::from(1500))));
test("1.5e-2", Float(Rational::new(15, 1000)));
}
}