/// Try to parse the significant digits quickly. /// /// This attempts a very quick parse, to deal with common cases. /// /// * `integer` - Slice containing the integer digits. /// * `fraction` - Slice containing the fraction digits. #[inline] fn parse_number_fast<'a, Iter1, Iter2>(
integer: Iter1,
fraction: Iter2,
exponent: i32,
) -> Option<Number> where
Iter1: Iterator<Item = &'a u8>,
Iter2: Iterator<Item = &'a u8>,
{ letmut num = Number::default(); letmut integer_count: usize = 0; letmut fraction_count: usize = 0; for &c in integer {
integer_count += 1; let digit = c - b'0';
num.mantissa = num.mantissa.wrapping_mul(10).wrapping_add(digit as u64);
} for &c in fraction {
fraction_count += 1; let digit = c - b'0';
num.mantissa = num.mantissa.wrapping_mul(10).wrapping_add(digit as u64);
}
if integer_count + fraction_count <= 19 { // Can't overflow, since must be <= 19.
num.exponent = exponent.saturating_sub(fraction_count as i32);
Some(num)
} else {
None
}
}
/// Parse the significant digits of the float and adjust the exponent. /// /// * `integer` - Slice containing the integer digits. /// * `fraction` - Slice containing the fraction digits. #[inline] fn parse_number<'a, Iter1, Iter2>(mut integer: Iter1, mut fraction: Iter2, exponent: i32) -> Number where
Iter1: Iterator<Item = &'a u8> + Clone,
Iter2: Iterator<Item = &'a u8> + Clone,
{ // NOTE: for performance, we do this in 2 passes: iflet Some(num) = parse_number_fast(integer.clone(), fraction.clone(), exponent) { return num;
}
// Can only add 19 digits. letmut num = Number::default(); letmut count = 0; whilelet Some(&c) = integer.next() {
count += 1; if count == 20 { // Only the integer digits affect the exponent.
num.many_digits = true;
num.exponent = exponent.saturating_add(into_i32(1 + integer.count())); return num;
} else { let digit = c - b'0';
num.mantissa = num.mantissa * 10 + digit as u64;
}
}
// Skip leading fraction zeros. // This is required otherwise we might have a 0 mantissa and many digits. letmut fraction_count: usize = 0; if count == 0 { for &c in &mut fraction {
fraction_count += 1; if c != b'0' {
count += 1; let digit = c - b'0';
num.mantissa = num.mantissa * 10 + digit as u64; break;
}
}
} for c in fraction {
fraction_count += 1;
count += 1; if count == 20 {
num.many_digits = true; // This can't wrap, since we have at most 20 digits. // We've adjusted the exponent too high by `fraction_count - 1`. // Note: -1 is due to incrementing this loop iteration, which we // didn't use.
num.exponent = exponent.saturating_sub(fraction_count as i32 - 1); return num;
} else { let digit = c - b'0';
num.mantissa = num.mantissa * 10 + digit as u64;
}
}
// No truncated digits: easy. // Cannot overflow: <= 20 digits.
num.exponent = exponent.saturating_sub(fraction_count as i32);
num
}
/// Parse float from extracted float components. /// /// * `integer` - Cloneable, forward iterator over integer digits. /// * `fraction` - Cloneable, forward iterator over integer digits. /// * `exponent` - Parsed, 32-bit exponent. /// /// # Preconditions /// 1. The integer should not have leading zeros. /// 2. The fraction should not have trailing zeros. /// 3. All bytes in `integer` and `fraction` should be valid digits, /// in the range [`b'0', b'9']. /// /// # Panics /// /// Although passing garbage input will not cause memory safety issues, /// it is very likely to cause a panic with a large number of digits, or /// in debug mode. The big-integer arithmetic without the `alloc` feature /// assumes a maximum, fixed-width input, which assumes at maximum a /// value of `10^(769 + 342)`, or ~4000 bits of storage. Passing in /// nonsensical digits may require up to ~6000 bits of storage, which will /// panic when attempting to add it to the big integer. It is therefore /// up to the caller to validate this input. /// /// We cannot efficiently remove trailing zeros while only accepting a /// forward iterator. pubfn parse_float<'a, F, Iter1, Iter2>(integer: Iter1, fraction: Iter2, exponent: i32) -> F where
F: Float,
Iter1: Iterator<Item = &'a u8> + Clone,
Iter2: Iterator<Item = &'a u8> + Clone,
{ // Parse the mantissa and attempt the fast and moderate-path algorithms. let num = parse_number(integer.clone(), fraction.clone(), exponent); // Try the fast-path algorithm. iflet Some(value) = num.try_fast_path() { return value;
}
// Now try the moderate path algorithm. letmut fp = moderate_path::<F>(&num); if fp.exp < 0 { // Undo the invalid extended float biasing.
fp.exp -= F::INVALID_FP;
fp = slow::<F, _, _>(num, fp, integer, fraction);
}
// Unable to correctly round the float using the fast or moderate algorithms. // Fallback to a slower, but always correct algorithm. If we have // lossy, we can't be here.
extended_to_float::<F>(fp)
}
/// Wrapper for different moderate-path algorithms. /// A return exponent of `-1` indicates an invalid value. #[inline] pubfn moderate_path<F: Float>(num: &Number) -> ExtendedFloat { #[cfg(not(feature = "compact"))] return lemire::<F>(num);
/// Convert usize into i32 without overflow. /// /// This is needed to ensure when adjusting the exponent relative to /// the mantissa we do not overflow for comically-long exponents. #[inline] fn into_i32(value: usize) -> i32 { if value > i32::max_value() as usize {
i32::max_value()
} else {
value as i32
}
}
// Add digit to mantissa. #[inline] pubfn add_digit(value: u64, digit: u8) -> Option<u64> {
value.checked_mul(10)?.checked_add(digit as u64)
}
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