use core::mem; use core::fmt; pub mod add; pub mod pow; /// Trait for some basic operations on floats pub trait Float: Sized + Copy { /// A uint of the same with as the float type Int; /// Returns the bitwidth of the float type fn bits() -> u32; /// Returns the bitwidth of the significand fn significand_bits() -> u32; /// Returns `self` transmuted to `Self::Int` fn repr(self) -> Self::Int; #[cfg(test)] /// Checks if two floats have the same bit representation. *Except* for NaNs! NaN can be /// represented in multiple different ways. This methods returns `true` if two NaNs are /// compared. fn eq_repr(self, rhs: Self) -> bool; /// Returns a `Self::Int` transmuted back to `Self` fn from_repr(a: Self::Int) -> Self; /// Returns (normalized exponent, normalized significand) fn normalize(significand: Self::Int) -> (i32, Self::Int); } impl Float for f32 { type Int = u32; fn bits() -> u32 { 32 } fn significand_bits() -> u32 { 23 } fn repr(self) -> Self::Int { unsafe { mem::transmute(self) } } #[cfg(test)] fn eq_repr(self, rhs: Self) -> bool { if self.is_nan() && rhs.is_nan() { true } else { self.repr() == rhs.repr() } } fn from_repr(a: Self::Int) -> Self { unsafe { mem::transmute(a) } } fn normalize(significand: Self::Int) -> (i32, Self::Int) { let shift = significand.leading_zeros() .wrapping_sub((1u32 << Self::significand_bits()).leading_zeros()); (1i32.wrapping_sub(shift as i32), significand << shift as Self::Int) } } impl Float for f64 { type Int = u64; fn bits() -> u32 { 64 } fn significand_bits() -> u32 { 52 } fn repr(self) -> Self::Int { unsafe { mem::transmute(self) } } #[cfg(test)] fn eq_repr(self, rhs: Self) -> bool { if self.is_nan() && rhs.is_nan() { true } else { self.repr() == rhs.repr() } } fn from_repr(a: Self::Int) -> Self { unsafe { mem::transmute(a) } } fn normalize(significand: Self::Int) -> (i32, Self::Int) { let shift = significand.leading_zeros() .wrapping_sub((1u64 << Self::significand_bits()).leading_zeros()); (1i32.wrapping_sub(shift as i32), significand << shift as Self::Int) } } // TODO: Move this to F32/F64 in qc.rs #[cfg(test)] #[derive(Copy, Clone)] pub struct FRepr(F); #[cfg(test)] impl PartialEq for FRepr { fn eq(&self, other: &FRepr) -> bool { // NOTE(cfg) for some reason, on hard float targets, our implementation doesn't // match the output of its gcc_s counterpart. Until we investigate further, we'll // just avoid testing against gcc_s on those targets. Do note that our // implementation matches the output of the FPU instruction on *hard* float targets // and matches its gcc_s counterpart on *soft* float targets. if cfg!(gnueabihf) { return true } self.0.eq_repr(other.0) } } #[cfg(test)] impl fmt::Debug for FRepr { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { self.0.fmt(f) } }