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// This file comes from the `dtoa` port by David Tolnay:
// https://github.com/dtolnay/dtoa
//
// It's an implementation of a Grisu2 algorithm by Florian Loitsch:
// http://www.cs.tufts.edu/~nr/cs257/archive/florian-loitsch/printf.pdf
//
// The algorithm here has been modified to produce a `u64` mantisa and
// a decimal exponent instead of writing to a string.
//
// Copyright 2016 Dtoa Developers
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
// option. This file may not be copied, modified, or distributed
// except according to those terms.
use util::diyfp::{ self, DiyFp };
#[inline]
unsafe fn grisu_round(buffer: &mut u64, delta: u64, mut rest: u64, ten_kappa: u64, wp_w: u64) {
while rest < wp_w && delta - rest >= ten_kappa &&
(rest + ten_kappa < wp_w || // closer
wp_w - rest > rest + ten_kappa - wp_w) {
*buffer -= 1;
rest += ten_kappa;
}
}
#[inline]
fn count_decimal_digit32(n: u32) -> i16 {
if n < 10 { 1 }
else if n < 100 { 2 }
else if n < 1000 { 3 }
else if n < 10000 { 4 }
else if n < 100000 { 5 }
else if n < 1000000 { 6 }
else if n < 10000000 { 7 }
else if n < 100000000 { 8 }
// Will not reach 10 digits in digit_gen()
else { 9 }
}
#[inline]
unsafe fn digit_gen(w: DiyFp, mp: DiyFp, mut delta: u64, mut k: i16) -> (u64, i16) {
static POW10: [u32; 10] = [ 1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000 ];
let one = DiyFp::new(1u64 << -mp.e, mp.e);
let wp_w = mp - w;
let mut p1 = (mp.f >> -one.e) as u32;
let mut p2 = mp.f & (one.f - 1);
let mut kappa = count_decimal_digit32(p1); // kappa in [0, 9]
let mut buffer = p1 as u64;
while kappa > 0 {
match kappa {
9 => { p1 %= 100000000; }
8 => { p1 %= 10000000; }
7 => { p1 %= 1000000; }
6 => { p1 %= 100000; }
5 => { p1 %= 10000; }
4 => { p1 %= 1000; }
3 => { p1 %= 100; }
2 => { p1 %= 10; }
1 => { p1 = 0; }
_ => {}
}
kappa = kappa.wrapping_sub(1);
let tmp = ((p1 as u64) << -one.e) + p2;
if tmp <= delta {
k += kappa;
let pow10 = POW10[kappa as usize] as u64;
buffer /= pow10;
grisu_round(&mut buffer, delta, tmp, pow10 << -one.e, wp_w.f);
return (buffer, k);
}
}
loop {
p2 *= 10;
delta *= 10;
let d = (p2 >> -one.e) as u8;
if d != 0 || buffer != 0 {
buffer = buffer * 10 + d as u64;
}
p2 &= one.f - 1;
kappa = kappa.wrapping_sub(1);
if p2 < delta {
k += kappa;
let index = -(kappa as isize);
grisu_round(&mut buffer, delta, p2, one.f, wp_w.f * if index < 9 { POW10[-(kappa as isize) as usize] as u64 } else { 0 });
return (buffer, k);
}
}
}
#[inline]
pub fn convert(float: f64) -> (u64, i16) {
if float == 0.0 {
return (0, 0);
}
unsafe {
let v = DiyFp::from_f64(float);
let (w_m, w_p) = v.normalized_boundaries();
let (c_mk, k) = diyfp::get_cached_power(w_p.e);
let w = v.normalize() * c_mk;
let mut wp = w_p * c_mk;
let mut wm = w_m * c_mk;
wm.f += 1;
wp.f -= 1;
digit_gen(w, wp, wp.f - wm.f, k as i16)
}
}