Fix `Ord` implementations to be a partial order.

When two elements are not comparable, all comparison operators return `false`.

src/mat.rs

@@ -30,7 +30,7 @@ pub use traits::transpose::*;
 mod mat_macros;
 
 /// Square matrix of dimension 1.
-#[deriving(Eq, Ord, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
+#[deriving(Eq, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
 pub struct Mat1<N>
 {
   m11: N
@@ -55,7 +55,7 @@ to_homogeneous_impl!(Mat1, Mat2, 1, 2)
 from_homogeneous_impl!(Mat1, Mat2, 1, 2)
 
 /// Square matrix of dimension 2.
-#[deriving(Eq, Ord, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
+#[deriving(Eq, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
 pub struct Mat2<N>
 {
   m11: N, m12: N,
@@ -84,7 +84,7 @@ to_homogeneous_impl!(Mat2, Mat3, 2, 3)
 from_homogeneous_impl!(Mat2, Mat3, 2, 3)
 
 /// Square matrix of dimension 3.
-#[deriving(Eq, Ord, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
+#[deriving(Eq, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
 pub struct Mat3<N>
 {
   m11: N, m12: N, m13: N,
@@ -117,7 +117,7 @@ to_homogeneous_impl!(Mat3, Mat4, 3, 4)
 from_homogeneous_impl!(Mat3, Mat4, 3, 4)
 
 /// Square matrix of dimension 4.
-#[deriving(Eq, Ord, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
+#[deriving(Eq, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
 pub struct Mat4<N>
 {
   m11: N, m12: N, m13: N, m14: N,
@@ -158,7 +158,7 @@ to_homogeneous_impl!(Mat4, Mat5, 4, 5)
 from_homogeneous_impl!(Mat4, Mat5, 4, 5)
 
 /// Square matrix of dimension 5.
-#[deriving(Eq, Ord, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
+#[deriving(Eq, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
 pub struct Mat5<N>
 {
   m11: N, m12: N, m13: N, m14: N, m15: N,
@@ -205,7 +205,7 @@ to_homogeneous_impl!(Mat5, Mat6, 5, 6)
 from_homogeneous_impl!(Mat5, Mat6, 5, 6)
 
 /// Square matrix of dimension 6.
-#[deriving(Eq, Ord, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
+#[deriving(Eq, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
 pub struct Mat6<N>
 {
   m11: N, m12: N, m13: N, m14: N, m15: N, m16: N,

src/tests/vec.rs

@@ -264,3 +264,24 @@ fn test_iterator_vec5()
 #[test]
 fn test_iterator_vec6()
 { test_iterator_impl!(Vec6<f64>, f64); }
+
+#[test]
+fn test_ord_vec3()
+{
+    // equality
+    assert!(Vec3::new(0.5, 0.5, 0.5) == Vec3::new(0.5, 0.5, 0.5));
+    assert!(!(Vec3::new(1.5, 0.5, 0.5) == Vec3::new(0.5, 0.5, 0.5)));
+    assert!(Vec3::new(1.5, 0.5, 0.5) != Vec3::new(0.5, 0.5, 0.5));
+
+    // comparable
+    assert!(Vec3::new(0.5, 0.3, 0.3) < Vec3::new(1.0, 2.0, 1.0));
+    assert!(Vec3::new(0.5, 0.3, 0.3) <= Vec3::new(1.0, 2.0, 1.0));
+    assert!(Vec3::new(2.0, 4.0, 2.0) > Vec3::new(1.0, 2.0, 1.0));
+    assert!(Vec3::new(2.0, 4.0, 2.0) >= Vec3::new(1.0, 2.0, 1.0));
+
+    // not comparable
+    assert!(!(Vec3::new(0.0, 3.0, 0.0) < Vec3::new(1.0, 2.0, 1.0)));
+    assert!(!(Vec3::new(0.0, 3.0, 0.0) > Vec3::new(1.0, 2.0, 1.0)));
+    assert!(!(Vec3::new(0.0, 3.0, 0.0) <= Vec3::new(1.0, 2.0, 1.0)));
+    assert!(!(Vec3::new(0.0, 3.0, 0.0) >= Vec3::new(1.0, 2.0, 1.0)));
+}

src/vec.rs

@@ -27,11 +27,11 @@ pub use traits::scalar_op::*;
 mod vec_macros;
 
 /// Vector of dimension 0.
-#[deriving(Eq, Ord, Encodable, Decodable, Clone, DeepClone, Rand, Zero, ToStr)]
+#[deriving(Eq, Encodable, Decodable, Clone, DeepClone, Rand, Zero, ToStr)]
 pub struct Vec0<N>;
 
 /// Vector of dimension 1.
-#[deriving(Eq, Ord, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
+#[deriving(Eq, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
 pub struct Vec1<N>
 {
   /// First component of the vector.
@@ -39,6 +39,7 @@ pub struct Vec1<N>
 }
 
 new_impl!(Vec1, x)
+ord_impl!(Vec1, x)
 vec_axis_impl!(Vec1, x)
 vec_cast_impl!(Vec1, x)
 indexable_impl!(Vec1, 1)
@@ -67,7 +68,7 @@ to_homogeneous_impl!(Vec1, Vec2, y, x)
 from_homogeneous_impl!(Vec1, Vec2, y, x)
 
 /// Vector of dimension 2.
-#[deriving(Eq, Ord, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
+#[deriving(Eq, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
 pub struct Vec2<N>
 {
   /// First component of the vector.
@@ -77,6 +78,7 @@ pub struct Vec2<N>
 }
 
 new_impl!(Vec2, x, y)
+ord_impl!(Vec2, x, y)
 vec_axis_impl!(Vec2, x, y)
 vec_cast_impl!(Vec2, x, y)
 indexable_impl!(Vec2, 2)
@@ -105,7 +107,7 @@ to_homogeneous_impl!(Vec2, Vec3, z, x, y)
 from_homogeneous_impl!(Vec2, Vec3, z, x, y)
 
 /// Vector of dimension 3.
-#[deriving(Eq, Ord, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
+#[deriving(Eq, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
 pub struct Vec3<N>
 
 {
@@ -117,8 +119,8 @@ pub struct Vec3<N>
   z: N
 }
 
-
 new_impl!(Vec3, x, y, z)
+ord_impl!(Vec3, x, y, z)
 vec_axis_impl!(Vec3, x, y, z)
 vec_cast_impl!(Vec3, x, y, z)
 indexable_impl!(Vec3, 3)
@@ -147,7 +149,7 @@ to_homogeneous_impl!(Vec3, Vec4, w, x, y, z)
 from_homogeneous_impl!(Vec3, Vec4, w, x, y, z)
 
 /// Vector of dimension 4.
-#[deriving(Eq, Ord, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
+#[deriving(Eq, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
 pub struct Vec4<N>
 {
   /// First component of the vector.
@@ -161,6 +163,7 @@ pub struct Vec4<N>
 }
 
 new_impl!(Vec4, x, y, z, w)
+ord_impl!(Vec4, x, y, z, w)
 vec_axis_impl!(Vec4, x, y, z, w)
 vec_cast_impl!(Vec4, x, y, z, w)
 indexable_impl!(Vec4, 4)
@@ -189,7 +192,7 @@ to_homogeneous_impl!(Vec4, Vec5, a, x, y, z, w)
 from_homogeneous_impl!(Vec4, Vec5, a, x, y, z, w)
 
 /// Vector of dimension 5.
-#[deriving(Eq, Ord, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
+#[deriving(Eq, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
 pub struct Vec5<N>
 {
   /// First component of the vector.
@@ -205,6 +208,7 @@ pub struct Vec5<N>
 }
 
 new_impl!(Vec5, x, y, z, w, a)
+ord_impl!(Vec5, x, y, z, w, a)
 vec_axis_impl!(Vec5, x, y, z, w, a)
 vec_cast_impl!(Vec5, x, y, z, w, a)
 indexable_impl!(Vec5, 5)
@@ -233,7 +237,7 @@ to_homogeneous_impl!(Vec5, Vec6, b, x, y, z, w, a)
 from_homogeneous_impl!(Vec5, Vec6, b, x, y, z, w, a)
 
 /// Vector of dimension 6.
-#[deriving(Eq, Ord, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
+#[deriving(Eq, Encodable, Decodable, Clone, DeepClone, IterBytes, Rand, Zero, ToStr)]
 pub struct Vec6<N>
 {
   /// First component of the vector.
@@ -251,6 +255,7 @@ pub struct Vec6<N>
 }
 
 new_impl!(Vec6, x, y, z, w, a, b)
+ord_impl!(Vec6, x, y, z, w, a, b)
 vec_axis_impl!(Vec6, x, y, z, w, a, b)
 vec_cast_impl!(Vec6, x, y, z, w, a, b)
 indexable_impl!(Vec6, 6)

src/vec_macros.rs

@@ -17,6 +17,29 @@ macro_rules! new_impl(
   )
 )
 
+macro_rules! ord_impl(
+  ($t: ident, $comp0: ident $(,$compN: ident)*) => (
+    impl<N: Ord> Ord for $t<N>
+    {
+      #[inline]
+      fn lt(&self, other: &$t<N>) -> bool
+      { self.$comp0 < other.$comp0 $(&& self.$compN < other.$compN)* }
+
+      #[inline]
+      fn le(&self, other: &$t<N>) -> bool
+      { self.$comp0 <= other.$comp0 $(&& self.$compN <= other.$compN)* }
+
+      #[inline]
+      fn gt(&self, other: &$t<N>) -> bool
+      { self.$comp0 > other.$comp0 $(&& self.$compN > other.$compN)* }
+
+      #[inline]
+      fn ge(&self, other: &$t<N>) -> bool
+      { self.$comp0 >= other.$comp0 $(&& self.$compN >= other.$compN)* }
+    }
+  )
+)
+
 macro_rules! vec_axis_impl(
   ($t: ident, $comp0: ident $(,$compN: ident)*) => (
     impl<N: Zero + One> $t<N>