Merge #41

41: Various improvements to FloatCore r=vks a=cuviper

- New macros simplify forwarding method implementations.
  - `Float` and `Real` use this to compact their implementations.
  - `FloatCore` now forwards `std` implementations when possible.
- `FloatCore` now requires `NumCast`, like `Float does.
- New additions to `FloatCore`:
  - Constants like `min_value()` -> `f64::MIN`
  - Rounding methods `floor`, `ceil`, `round`, `trunc`, `fract`
  - `integer_decode` matching `Float`'s
- Fix NAN sign handling in `FloatCore` (rust-num/num#312, rust-lang/rust#42425)
- Fix overflow in `FloatCore::powi` exponent negation.
- Add doctests to all `FloatCore` methods.

src/cast.rs

@@ -1,4 +1,3 @@
-use core::f64;
 use core::mem::size_of;
 use core::num::Wrapping;
 

src/lib.rs

@@ -42,6 +42,9 @@ pub use cast::{AsPrimitive, FromPrimitive, ToPrimitive, NumCast, cast};
 pub use int::PrimInt;
 pub use pow::{Pow, pow, checked_pow};
 
+#[macro_use]
+mod macros;
+
 pub mod identities;
 pub mod sign;
 pub mod ops;

src/macros.rs

@@ -0,0 +1,37 @@
+// not all are used in all features configurations
+#![allow(unused)]
+
+/// Forward a method to an inherent method or a base trait method.
+macro_rules! forward {
+    ($( Self :: $method:ident ( self $( , $arg:ident : $ty:ty )* ) -> $ret:ty ; )*)
+        => {$(
+            #[inline]
+            fn $method(self $( , $arg : $ty )* ) -> $ret {
+                Self::$method(self $( , $arg )* )
+            }
+        )*};
+    ($( $base:ident :: $method:ident ( self $( , $arg:ident : $ty:ty )* ) -> $ret:ty ; )*)
+        => {$(
+            #[inline]
+            fn $method(self $( , $arg : $ty )* ) -> $ret {
+                <Self as $base>::$method(self $( , $arg )* )
+            }
+        )*};
+    ($( $base:ident :: $method:ident ( $( $arg:ident : $ty:ty ),* ) -> $ret:ty ; )*)
+        => {$(
+            #[inline]
+            fn $method( $( $arg : $ty ),* ) -> $ret {
+                <Self as $base>::$method( $( $arg ),* )
+            }
+        )*}
+}
+
+macro_rules! constant {
+    ($( $method:ident () -> $ret:expr ; )*)
+        => {$(
+            #[inline]
+            fn $method() -> Self {
+                $ret
+            }
+        )*};
+}

src/real.rs

@@ -782,145 +782,55 @@ pub trait Real
 }
 
 impl<T: Float> Real for T {
-    fn min_value() -> Self {
-        Self::min_value()
-    }
-    fn min_positive_value() -> Self {
-        Self::min_positive_value()
-    }
-    fn epsilon() -> Self {
-        Self::epsilon()
-    }
-    fn max_value() -> Self {
-        Self::max_value()
-    }
-    fn floor(self) -> Self {
-        self.floor()
-    }
-    fn ceil(self) -> Self {
-        self.ceil()
-    }
-    fn round(self) -> Self {
-        self.round()
-    }
-    fn trunc(self) -> Self {
-        self.trunc()
-    }
-    fn fract(self) -> Self {
-        self.fract()
-    }
-    fn abs(self) -> Self {
-        self.abs()
-    }
-    fn signum(self) -> Self {
-        self.signum()
-    }
-    fn is_sign_positive(self) -> bool {
-        self.is_sign_positive()
-    }
-    fn is_sign_negative(self) -> bool {
-        self.is_sign_negative()
-    }
-    fn mul_add(self, a: Self, b: Self) -> Self {
-        self.mul_add(a, b)
-    }
-    fn recip(self) -> Self {
-        self.recip()
-    }
-    fn powi(self, n: i32) -> Self {
-        self.powi(n)
-    }
-    fn powf(self, n: Self) -> Self {
-        self.powf(n)
-    }
-    fn sqrt(self) -> Self {
-        self.sqrt()
-    }
-    fn exp(self) -> Self {
-        self.exp()
-    }
-    fn exp2(self) -> Self {
-        self.exp2()
-    }
-    fn ln(self) -> Self {
-        self.ln()
-    }
-    fn log(self, base: Self) -> Self {
-        self.log(base)
-    }
-    fn log2(self) -> Self {
-        self.log2()
-    }
-    fn log10(self) -> Self {
-        self.log10()
-    }
-    fn to_degrees(self) -> Self {
-        self.to_degrees()
-    }
-    fn to_radians(self) -> Self {
-        self.to_radians()
-    }
-    fn max(self, other: Self) -> Self {
-        self.max(other)
-    }
-    fn min(self, other: Self) -> Self {
-        self.min(other)
-    }
-    fn abs_sub(self, other: Self) -> Self {
-        self.abs_sub(other)
-    }
-    fn cbrt(self) -> Self {
-        self.cbrt()
-    }
-    fn hypot(self, other: Self) -> Self {
-        self.hypot(other)
-    }
-    fn sin(self) -> Self {
-        self.sin()
-    }
-    fn cos(self) -> Self {
-        self.cos()
-    }
-    fn tan(self) -> Self {
-        self.tan()
-    }
-    fn asin(self) -> Self {
-        self.asin()
-    }
-    fn acos(self) -> Self {
-        self.acos()
-    }
-    fn atan(self) -> Self {
-        self.atan()
-    }
-    fn atan2(self, other: Self) -> Self {
-        self.atan2(other)
-    }
-    fn sin_cos(self) -> (Self, Self) {
-        self.sin_cos()
-    }
-    fn exp_m1(self) -> Self {
-        self.exp_m1()
-    }
-    fn ln_1p(self) -> Self {
-        self.ln_1p()
-    }
-    fn sinh(self) -> Self {
-        self.sinh()
-    }
-    fn cosh(self) -> Self {
-        self.cosh()
-    }
-    fn tanh(self) -> Self {
-        self.tanh()
-    }
-    fn asinh(self) -> Self {
-        self.asinh()
-    }
-    fn acosh(self) -> Self {
-        self.acosh()
-    }
-    fn atanh(self) -> Self {
-        self.atanh()
+    forward! {
+        Float::min_value() -> Self;
+        Float::min_positive_value() -> Self;
+        Float::epsilon() -> Self;
+        Float::max_value() -> Self;
+    }
+    forward! {
+        Float::floor(self) -> Self;
+        Float::ceil(self) -> Self;
+        Float::round(self) -> Self;
+        Float::trunc(self) -> Self;
+        Float::fract(self) -> Self;
+        Float::abs(self) -> Self;
+        Float::signum(self) -> Self;
+        Float::is_sign_positive(self) -> bool;
+        Float::is_sign_negative(self) -> bool;
+        Float::mul_add(self, a: Self, b: Self) -> Self;
+        Float::recip(self) -> Self;
+        Float::powi(self, n: i32) -> Self;
+        Float::powf(self, n: Self) -> Self;
+        Float::sqrt(self) -> Self;
+        Float::exp(self) -> Self;
+        Float::exp2(self) -> Self;
+        Float::ln(self) -> Self;
+        Float::log(self, base: Self) -> Self;
+        Float::log2(self) -> Self;
+        Float::log10(self) -> Self;
+        Float::to_degrees(self) -> Self;
+        Float::to_radians(self) -> Self;
+        Float::max(self, other: Self) -> Self;
+        Float::min(self, other: Self) -> Self;
+        Float::abs_sub(self, other: Self) -> Self;
+        Float::cbrt(self) -> Self;
+        Float::hypot(self, other: Self) -> Self;
+        Float::sin(self) -> Self;
+        Float::cos(self) -> Self;
+        Float::tan(self) -> Self;
+        Float::asin(self) -> Self;
+        Float::acos(self) -> Self;
+        Float::atan(self) -> Self;
+        Float::atan2(self, other: Self) -> Self;
+        Float::sin_cos(self) -> (Self, Self);
+        Float::exp_m1(self) -> Self;
+        Float::ln_1p(self) -> Self;
+        Float::sinh(self) -> Self;
+        Float::cosh(self) -> Self;
+        Float::tanh(self) -> Self;
+        Float::asinh(self) -> Self;
+        Float::acosh(self) -> Self;
+        Float::atanh(self) -> Self;
     }
 }

src/sign.rs

@@ -1,9 +1,7 @@
 use core::ops::Neg;
-use core::{f32, f64};
 use core::num::Wrapping;
 
 use Num;
-#[cfg(not(feature = "std"))]
 use float::FloatCore;
 
 /// Useful functions for signed numbers (i.e. numbers that can be negative).
@@ -101,12 +99,12 @@ impl<T: Signed> Signed for Wrapping<T> where Wrapping<T>: Num + Neg<Output=Wrapp
 }
 
 macro_rules! signed_float_impl {
-    ($t:ty, $nan:expr, $inf:expr, $neg_inf:expr) => {
+    ($t:ty) => {
         impl Signed for $t {
             /// Computes the absolute value. Returns `NAN` if the number is `NAN`.
             #[inline]
             fn abs(&self) -> $t {
-                (*self).abs()
+                FloatCore::abs(*self)
             }
 
             /// The positive difference of two numbers. Returns `0.0` if the number is
@@ -124,23 +122,22 @@ macro_rules! signed_float_impl {
             /// - `NAN` if the number is NaN
             #[inline]
             fn signum(&self) -> $t {
-                use float::FloatCore;
                 FloatCore::signum(*self)
             }
 
             /// Returns `true` if the number is positive, including `+0.0` and `INFINITY`
             #[inline]
-            fn is_positive(&self) -> bool { *self > 0.0 || (1.0 / *self) == $inf }
+            fn is_positive(&self) -> bool { FloatCore::is_sign_positive(*self) }
 
             /// Returns `true` if the number is negative, including `-0.0` and `NEG_INFINITY`
             #[inline]
-            fn is_negative(&self) -> bool { *self < 0.0 || (1.0 / *self) == $neg_inf }
+            fn is_negative(&self) -> bool { FloatCore::is_sign_negative(*self) }
         }
     }
 }
 
-signed_float_impl!(f32, f32::NAN, f32::INFINITY, f32::NEG_INFINITY);
-signed_float_impl!(f64, f64::NAN, f64::INFINITY, f64::NEG_INFINITY);
+signed_float_impl!(f32);
+signed_float_impl!(f64);
 
 /// Computes the absolute value.
 ///