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//! Functions to parse floating-point numbers.
use crate::num::dec2flt::common::{is_8digits, AsciiStr, ByteSlice};
use crate::num::dec2flt::float::RawFloat;
use crate::num::dec2flt::number::Number;
const MIN_19DIGIT_INT: u64 = 100_0000_0000_0000_0000;
/// Parse 8 digits, loaded as bytes in little-endian order.
///
/// This uses the trick where every digit is in [0x030, 0x39],
/// and therefore can be parsed in 3 multiplications, much
/// faster than the normal 8.
///
/// This is based off the algorithm described in "Fast numeric string to
/// int", available here: <https://johnnylee-sde.github.io/Fast-numeric-string-to-int/>.
fn parse_8digits(mut v: u64) -> u64 {
const MASK: u64 = 0x0000_00FF_0000_00FF;
const MUL1: u64 = 0x000F_4240_0000_0064;
const MUL2: u64 = 0x0000_2710_0000_0001;
v -= 0x3030_3030_3030_3030;
v = (v * 10) + (v >> 8); // will not overflow, fits in 63 bits
let v1 = (v & MASK).wrapping_mul(MUL1);
let v2 = ((v >> 16) & MASK).wrapping_mul(MUL2);
((v1.wrapping_add(v2) >> 32) as u32) as u64
}
/// Parse digits until a non-digit character is found.
fn try_parse_digits(s: &mut AsciiStr<'_>, x: &mut u64) {
// may cause overflows, to be handled later
s.parse_digits(|digit| {
*x = x.wrapping_mul(10).wrapping_add(digit as _);
});
}
/// Parse up to 19 digits (the max that can be stored in a 64-bit integer).
fn try_parse_19digits(s: &mut AsciiStr<'_>, x: &mut u64) {
while *x < MIN_19DIGIT_INT {
if let Some(&c) = s.as_ref().first() {
let digit = c.wrapping_sub(b'0');
if digit < 10 {
*x = (*x * 10) + digit as u64; // no overflows here
// SAFETY: cannot be empty
unsafe {
s.step();
}
} else {
break;
}
} else {
break;
}
}
}
/// Try to parse 8 digits at a time, using an optimized algorithm.
fn try_parse_8digits(s: &mut AsciiStr<'_>, x: &mut u64) {
// may cause overflows, to be handled later
if let Some(v) = s.read_u64() {
if is_8digits(v) {
*x = x.wrapping_mul(1_0000_0000).wrapping_add(parse_8digits(v));
// SAFETY: already ensured the buffer was >= 8 bytes in read_u64.
unsafe {
s.step_by(8);
}
if let Some(v) = s.read_u64() {
if is_8digits(v) {
*x = x.wrapping_mul(1_0000_0000).wrapping_add(parse_8digits(v));
// SAFETY: already ensured the buffer was >= 8 bytes in try_read_u64.
unsafe {
s.step_by(8);
}
}
}
}
}
}
/// Parse the scientific notation component of a float.
fn parse_scientific(s: &mut AsciiStr<'_>) -> Option<i64> {
let mut exponent = 0_i64;
let mut negative = false;
if let Some(&c) = s.as_ref().get(0) {
negative = c == b'-';
if c == b'-' || c == b'+' {
// SAFETY: s cannot be empty
unsafe {
s.step();
}
}
}
if s.first_isdigit() {
s.parse_digits(|digit| {
// no overflows here, saturate well before overflow
if exponent < 0x10000 {
exponent = 10 * exponent + digit as i64;
}
});
if negative { Some(-exponent) } else { Some(exponent) }
} else {
None
}
}
/// Parse a partial, non-special floating point number.
///
/// This creates a representation of the float as the
/// significant digits and the decimal exponent.
fn parse_partial_number(s: &[u8], negative: bool) -> Option<(Number, usize)> {
let mut s = AsciiStr::new(s);
let start = s;
debug_assert!(!s.is_empty());
// parse initial digits before dot
let mut mantissa = 0_u64;
let digits_start = s;
try_parse_digits(&mut s, &mut mantissa);
let mut n_digits = s.offset_from(&digits_start);
// handle dot with the following digits
let mut n_after_dot = 0;
let mut exponent = 0_i64;
let int_end = s;
if s.first_is(b'.') {
// SAFETY: s cannot be empty due to first_is
unsafe { s.step() };
let before = s;
try_parse_8digits(&mut s, &mut mantissa);
try_parse_digits(&mut s, &mut mantissa);
n_after_dot = s.offset_from(&before);
exponent = -n_after_dot as i64;
}
n_digits += n_after_dot;
if n_digits == 0 {
return None;
}
// handle scientific format
let mut exp_number = 0_i64;
if s.first_is2(b'e', b'E') {
// SAFETY: s cannot be empty
unsafe {
s.step();
}
// If None, we have no trailing digits after exponent, or an invalid float.
exp_number = parse_scientific(&mut s)?;
exponent += exp_number;
}
let len = s.offset_from(&start) as _;
// handle uncommon case with many digits
if n_digits <= 19 {
return Some((Number { exponent, mantissa, negative, many_digits: false }, len));
}
n_digits -= 19;
let mut many_digits = false;
let mut p = digits_start;
while p.first_is2(b'0', b'.') {
// SAFETY: p cannot be empty due to first_is2
unsafe {
// '0' = b'.' + 2
n_digits -= p.first_unchecked().saturating_sub(b'0' - 1) as isize;
p.step();
}
}
if n_digits > 0 {
// at this point we have more than 19 significant digits, let's try again
many_digits = true;
mantissa = 0;
let mut s = digits_start;
try_parse_19digits(&mut s, &mut mantissa);
exponent = if mantissa >= MIN_19DIGIT_INT {
// big int
int_end.offset_from(&s)
} else {
// SAFETY: the next byte must be present and be '.'
// We know this is true because we had more than 19
// digits previously, so we overflowed a 64-bit integer,
// but parsing only the integral digits produced less
// than 19 digits. That means we must have a decimal
// point, and at least 1 fractional digit.
unsafe { s.step() };
let before = s;
try_parse_19digits(&mut s, &mut mantissa);
-s.offset_from(&before)
} as i64;
// add back the explicit part
exponent += exp_number;
}
Some((Number { exponent, mantissa, negative, many_digits }, len))
}
/// Try to parse a non-special floating point number.
pub fn parse_number(s: &[u8], negative: bool) -> Option<Number> {
if let Some((float, rest)) = parse_partial_number(s, negative) {
if rest == s.len() {
return Some(float);
}
}
None
}
/// Parse a partial representation of a special, non-finite float.
fn parse_partial_inf_nan<F: RawFloat>(s: &[u8]) -> Option<(F, usize)> {
fn parse_inf_rest(s: &[u8]) -> usize {
if s.len() >= 8 && s[3..].as_ref().starts_with_ignore_case(b"inity") { 8 } else { 3 }
}
if s.len() >= 3 {
if s.starts_with_ignore_case(b"nan") {
return Some((F::NAN, 3));
} else if s.starts_with_ignore_case(b"inf") {
return Some((F::INFINITY, parse_inf_rest(s)));
}
}
None
}
/// Try to parse a special, non-finite float.
pub fn parse_inf_nan<F: RawFloat>(s: &[u8], negative: bool) -> Option<F> {
if let Some((mut float, rest)) = parse_partial_inf_nan::<F>(s) {
if rest == s.len() {
if negative {
float = -float;
}
return Some(float);
}
}
None
}