libcore: Move the numeric operations out of Num. r=brson

Sadly I could not use trait inheritance due to a type parameter substitution
bug.

src/test/compile-fail/autoderef-full-lval.rs

@@ -8,7 +8,7 @@
 // option. This file may not be copied, modified, or distributed
 // except according to those terms.
 
-// error-pattern: binary operation + cannot be applied to type
+// error-pattern: mismatched types
 type clam = {x: @int, y: @int};
 
 type fish = {a: @int};

src/test/run-pass/issue-3149.rs

@@ -8,11 +8,11 @@
 // option. This file may not be copied, modified, or distributed
 // except according to those terms.
 
-pure fn Matrix4<T:Copy Num>(m11: T, m12: T, m13: T, m14: T,
-                                     m21: T, m22: T, m23: T, m24: T,
-                                     m31: T, m32: T, m33: T, m34: T,
-                                     m41: T, m42: T, m43: T, m44: T)
-                                  -> Matrix4<T> {
+pure fn Matrix4<T:Copy>(m11: T, m12: T, m13: T, m14: T,
+                        m21: T, m22: T, m23: T, m24: T,
+                        m31: T, m32: T, m33: T, m34: T,
+                        m41: T, m42: T, m43: T, m44: T)
+                     -> Matrix4<T> {
 
     Matrix4 {
         m11: m11, m12: m12, m13: m13, m14: m14,

src/test/run-pass/trait-inheritance-num.rs

@@ -16,7 +16,7 @@ use num::NumCast::from;
 extern mod std;
 use std::cmp::FuzzyEq;
 
-pub trait NumExt: Num NumCast Eq Ord {}
+pub trait NumExt: NumCast Eq Ord {}
 
 pub trait FloatExt: NumExt FuzzyEq<Self> {}
 

src/test/run-pass/trait-inheritance-num1.rs

@@ -8,12 +8,10 @@
 // option. This file may not be copied, modified, or distributed
 // except according to those terms.
 
-// Using the real Num from core
-
 use cmp::Ord;
 use num::NumCast::from;
 
-pub trait NumExt: Num NumCast Ord { }
+pub trait NumExt: NumCast Ord { }
 
 fn greater_than_one<T:NumExt>(n: &T) -> bool {
     *n > from(1)

src/test/run-pass/trait-inheritance-num2.rs

@@ -38,7 +38,7 @@ pub impl f64: TypeExt {}
 pub impl float: TypeExt {}
 
 
-pub trait NumExt: TypeExt Eq Ord Num NumCast {}
+pub trait NumExt: TypeExt Eq Ord NumCast {}
 
 pub impl u8: NumExt {}
 pub impl u16: NumExt {}

src/test/run-pass/trait-inheritance-num3.rs

@@ -11,7 +11,7 @@
 use cmp::{Eq, Ord};
 use num::NumCast::from;
 
-pub trait NumExt: Eq Ord Num NumCast {}
+pub trait NumExt: Eq Ord NumCast {}
 
 pub impl f32: NumExt {}
 
@@ -19,4 +19,4 @@ fn num_eq_one<T:NumExt>(n: T) { io::println(fmt!("%?", n == from(1))) }
 
 pub fn main() {
     num_eq_one(1f32); // you need to actually use the function to trigger the ICE
-}
+}

src/test/run-pass/trait-inheritance-num5.rs

@@ -11,7 +11,7 @@
 use cmp::{Eq, Ord};
 use num::NumCast::from;
 
-pub trait NumExt: Eq Num NumCast {}
+pub trait NumExt: Eq NumCast {}
 
 pub impl f32: NumExt {}
 pub impl int: NumExt {}