//! 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 } } }