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//! Extended precision "soft float", for internal use only.
// This module is only for dec2flt and flt2dec, and only public because of coretests.
// It is not intended to ever be stabilized.
#![doc(hidden)]
#![unstable(
feature = "core_private_diy_float",
reason = "internal routines only exposed for testing",
issue = "none"
)]
/// A custom 64-bit floating point type, representing `f * 2^e`.
#[derive(Copy, Clone, Debug)]
#[doc(hidden)]
pub struct Fp {
/// The integer mantissa.
pub f: u64,
/// The exponent in base 2.
pub e: i16,
}
impl Fp {
/// Returns a correctly rounded product of itself and `other`.
pub fn mul(&self, other: &Fp) -> Fp {
const MASK: u64 = 0xffffffff;
let a = self.f >> 32;
let b = self.f & MASK;
let c = other.f >> 32;
let d = other.f & MASK;
let ac = a * c;
let bc = b * c;
let ad = a * d;
let bd = b * d;
let tmp = (bd >> 32) + (ad & MASK) + (bc & MASK) + (1 << 31) /* round */;
let f = ac + (ad >> 32) + (bc >> 32) + (tmp >> 32);
let e = self.e + other.e + 64;
Fp { f, e }
}
/// Normalizes itself so that the resulting mantissa is at least `2^63`.
pub fn normalize(&self) -> Fp {
let mut f = self.f;
let mut e = self.e;
if f >> (64 - 32) == 0 {
f <<= 32;
e -= 32;
}
if f >> (64 - 16) == 0 {
f <<= 16;
e -= 16;
}
if f >> (64 - 8) == 0 {
f <<= 8;
e -= 8;
}
if f >> (64 - 4) == 0 {
f <<= 4;
e -= 4;
}
if f >> (64 - 2) == 0 {
f <<= 2;
e -= 2;
}
if f >> (64 - 1) == 0 {
f <<= 1;
e -= 1;
}
debug_assert!(f >= (1 << 63));
Fp { f, e }
}
/// Normalizes itself to have the shared exponent.
/// It can only decrease the exponent (and thus increase the mantissa).
pub fn normalize_to(&self, e: i16) -> Fp {
let edelta = self.e - e;
assert!(edelta >= 0);
let edelta = edelta as usize;
assert_eq!(self.f << edelta >> edelta, self.f);
Fp { f: self.f << edelta, e }
}
}