2016-08-18 04:51:37 +08:00
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use core::mem;
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pub mod add;
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/// Trait for some basic operations on floats
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2016-09-27 13:22:10 +08:00
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pub trait Float: Sized + Copy {
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2016-08-18 04:51:37 +08:00
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/// A uint of the same with as the float
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type Int;
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2016-09-27 13:22:10 +08:00
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2016-08-18 04:51:37 +08:00
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/// Returns the bitwidth of the float type
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fn bits() -> u32;
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/// Returns the bitwidth of the significand
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fn significand_bits() -> u32;
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2016-09-30 09:48:33 +08:00
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/// Returns `self` transmuted to `Self::Int`
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fn repr(self) -> Self::Int;
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#[cfg(test)]
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/// Checks if two floats have the same bit representation. *Except* for NaNs! NaN can be
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2016-10-01 08:12:17 +08:00
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/// represented in multiple different ways. This methods returns `true` if two NaNs are
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2016-09-30 09:48:33 +08:00
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/// compared.
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fn eq_repr(self, rhs: Self) -> bool;
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/// Returns a `Self::Int` transmuted back to `Self`
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fn from_repr(a: Self::Int) -> Self;
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2016-08-18 04:51:37 +08:00
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/// Returns (normalized exponent, normalized significand)
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fn normalize(significand: Self::Int) -> (i32, Self::Int);
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}
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impl Float for f32 {
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type Int = u32;
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fn bits() -> u32 {
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32
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}
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fn significand_bits() -> u32 {
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23
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}
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fn repr(self) -> Self::Int {
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unsafe { mem::transmute(self) }
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}
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2016-08-22 00:24:58 +08:00
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#[cfg(test)]
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fn eq_repr(self, rhs: Self) -> bool {
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if self.is_nan() && rhs.is_nan() {
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true
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} else {
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self.repr() == rhs.repr()
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}
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}
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2016-08-18 04:51:37 +08:00
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fn from_repr(a: Self::Int) -> Self {
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unsafe { mem::transmute(a) }
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}
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fn normalize(significand: Self::Int) -> (i32, Self::Int) {
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let shift = significand.leading_zeros()
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.wrapping_sub((1u32 << Self::significand_bits()).leading_zeros());
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(1i32.wrapping_sub(shift as i32), significand << shift as Self::Int)
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}
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}
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impl Float for f64 {
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type Int = u64;
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fn bits() -> u32 {
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64
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}
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fn significand_bits() -> u32 {
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52
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}
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fn repr(self) -> Self::Int {
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unsafe { mem::transmute(self) }
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}
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2016-08-22 00:24:58 +08:00
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#[cfg(test)]
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fn eq_repr(self, rhs: Self) -> bool {
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if self.is_nan() && rhs.is_nan() {
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true
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} else {
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self.repr() == rhs.repr()
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}
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}
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2016-08-18 04:51:37 +08:00
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fn from_repr(a: Self::Int) -> Self {
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unsafe { mem::transmute(a) }
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}
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fn normalize(significand: Self::Int) -> (i32, Self::Int) {
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let shift = significand.leading_zeros()
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.wrapping_sub((1u64 << Self::significand_bits()).leading_zeros());
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(1i32.wrapping_sub(shift as i32), significand << shift as Self::Int)
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}
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}
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