Move the `.shape()` method to its own trait: `Shape`.

src/lib.rs

@@ -151,6 +151,7 @@ pub use traits::{
     Row,
     ScalarAdd, ScalarSub,
     ScalarMul, ScalarDiv,
+    Shape,
     ToHomogeneous,
     Transform, Transformation,
     Translate, Translation,
@@ -932,6 +933,12 @@ pub fn dim<V: Dim>() -> uint {
     Dim::dim(None::<V>)
 }
 
+/// Gets the indexable range of an object.
+#[inline(always)]
+pub fn shape<V: Shape<I, N>, I, N>(v: &V) -> I {
+    v.shape()
+}
+
 /*
  * Cast<T>
  */

src/structs/dmat.rs

@@ -10,7 +10,7 @@ use traits::operations::ApproxEq;
 use std::mem;
 use structs::dvec::{DVec, DVecMulRhs};
 use traits::operations::{Inv, Transpose, Mean, Cov};
-use traits::structure::{Cast, ColSlice, RowSlice, Diag, Eye, Indexable};
+use traits::structure::{Cast, ColSlice, RowSlice, Diag, Eye, Indexable, Shape};
 use std::fmt::{Show, Formatter, Result};
 
 
@@ -261,10 +261,13 @@ impl<N: Clone> Indexable<(uint, uint), N> for DMat<N> {
         self.mij.as_mut_slice().swap(offset1, offset2);
     }
 
+}
+
+impl<N> Shape<(uint, uint), N> for DMat<N> {
+    #[inline]
     fn shape(&self) -> (uint, uint) {
         (self.nrows, self.ncols)
     }
-
 }
 
 impl<N> Index<(uint, uint), N> for DMat<N> {

src/structs/dvec.rs

@@ -9,7 +9,7 @@ use std::slice::{Items, MutItems};
 use traits::operations::ApproxEq;
 use std::iter::FromIterator;
 use traits::geometry::{Dot, Norm};
-use traits::structure::{Iterable, IterableMut, Indexable};
+use traits::structure::{Iterable, IterableMut, Indexable, Shape};
 
 /// Heap allocated, dynamically sized vector.
 #[deriving(Eq, PartialEq, Show, Clone)]

src/structs/dvec_macros.rs

@@ -44,6 +44,13 @@ macro_rules! dvec_impl(
             }
         }
 
+        impl<N> Shape<uint, N> for $dvec<N> {
+            #[inline]
+            fn shape(&self) -> uint {
+                self.len()
+            }
+        }
+
         impl<N: Clone> Indexable<uint, N> for $dvec<N> {
             #[inline]
             fn at(&self, i: uint) -> N {
@@ -68,11 +75,6 @@ macro_rules! dvec_impl(
                 self.as_mut_slice().swap(i, j);
             }
 
-            #[inline]
-            fn shape(&self) -> uint {
-                self.len()
-            }
-
             #[inline]
             unsafe fn unsafe_at(&self, i: uint) -> N {
                 (*self.at.as_slice().unsafe_get(i)).clone()

src/structs/mat.rs

@@ -12,7 +12,7 @@ use structs::pnt::{Pnt1, Pnt4, Pnt5, Pnt6, Pnt1MulRhs, Pnt4MulRhs, Pnt5MulRhs, P
 use structs::dvec::{DVec1, DVec2, DVec3, DVec4, DVec5, DVec6};
 
 use traits::structure::{Cast, Row, Col, Iterable, IterableMut, Dim, Indexable,
-                        Eye, ColSlice, RowSlice, Diag};
+                        Eye, ColSlice, RowSlice, Diag, Shape};
 use traits::operations::{Absolute, Transpose, Inv, Outer};
 use traits::geometry::{ToHomogeneous, FromHomogeneous, Orig};
 

src/structs/mat_macros.rs

@@ -184,6 +184,13 @@ macro_rules! dim_impl(
 
 macro_rules! indexable_impl(
   ($t: ident, $dim: expr) => (
+    impl<N> Shape<(uint, uint), N> for $t<N> {
+        #[inline]
+        fn shape(&self) -> (uint, uint) {
+            ($dim, $dim)
+        }
+    }
+
     impl<N: Clone> Indexable<(uint, uint), N> for $t<N> {
         #[inline]
         fn at(&self, (i, j): (uint, uint)) -> N {
@@ -207,11 +214,6 @@ macro_rules! indexable_impl(
             }
         }
 
-        #[inline]
-        fn shape(&self) -> (uint, uint) {
-            ($dim, $dim)
-        }
-
         #[inline]
         unsafe fn unsafe_at(&self, (i, j): (uint, uint)) -> N {
             (*mem::transmute::<&$t<N>, &[N, ..$dim * $dim]>(self).unsafe_get(i + j * $dim)).clone()

src/structs/pnt.rs

@@ -8,7 +8,7 @@ use std::slice::{Items, MutItems};
 use std::iter::{Iterator, FromIterator};
 use traits::operations::{ApproxEq, POrd, POrdering, PartialLess, PartialEqual,
                          PartialGreater, NotComparable, Axpy};
-use traits::structure::{Cast, Dim, Indexable, Iterable, IterableMut, PntAsVec};
+use traits::structure::{Cast, Dim, Indexable, Iterable, IterableMut, PntAsVec, Shape};
 use traits::geometry::{Orig, FromHomogeneous, ToHomogeneous};
 use structs::vec::{Vec1, Vec2, Vec3, Vec4, Vec5, Vec6};
 

src/structs/quat.rs

@@ -10,7 +10,7 @@ use std::slice::{Items, MutItems};
 use structs::{Vec3, Pnt3, Rot3, Mat3, Vec3MulRhs, Pnt3MulRhs};
 use traits::operations::{ApproxEq, Inv, POrd, POrdering, NotComparable, PartialLess,
                          PartialGreater, PartialEqual, Axpy};
-use traits::structure::{Cast, Indexable, Iterable, IterableMut, Dim};
+use traits::structure::{Cast, Indexable, Iterable, IterableMut, Dim, Shape};
 use traits::geometry::{Norm, Cross, Rotation, Rotate, Transform};
 
 /// A quaternion.

src/structs/spec/vec0.rs

@@ -3,10 +3,31 @@ use std::num::{Zero, One, Float, Bounded};
 use std::slice::{Items, MutItems};
 use std::iter::{Iterator, FromIterator};
 use traits::operations::ApproxEq;
-use traits::structure::{Iterable, IterableMut, Indexable, Basis, Dim};
+use traits::structure::{Iterable, IterableMut, Indexable, Basis, Dim, Shape};
 use traits::geometry::{Translation, Dot, Norm};
 use structs::vec;
 
+impl<N> Index<uint, N> for vec::Vec0<N> {
+    #[inline]
+    fn index(&self, _: &uint) -> &N {
+        panic!("Canot index a Vec0.")
+    }
+}
+
+impl<N> IndexMut<uint, N> for vec::Vec0<N> {
+    #[inline]
+    fn index_mut(&mut self, _: &uint) -> &mut N {
+        panic!("Canot index a Vec0.")
+    }
+}
+
+impl<N> Shape<uint, N> for vec::Vec0<N> {
+    #[inline]
+    fn shape(&self) -> uint {
+        0
+    }
+}
+
 impl<N> Indexable<uint, N> for vec::Vec0<N> {
     #[inline]
     fn at(&self, _: uint) -> N {
@@ -17,11 +38,6 @@ impl<N> Indexable<uint, N> for vec::Vec0<N> {
     fn set(&mut self, _: uint, _: N) {
     }
 
-    #[inline]
-    fn shape(&self) -> uint {
-        0
-    }
-
     #[inline]
     fn swap(&mut self, _: uint, _: uint) {
     }

src/structs/vec.rs

@@ -10,7 +10,7 @@ use traits::operations::{ApproxEq, POrd, POrdering, PartialLess, PartialEqual,
                          PartialGreater, NotComparable, Axpy};
 use traits::geometry::{Transform, Rotate, FromHomogeneous, ToHomogeneous, Dot, Norm,
                        Translation, Translate};
-use traits::structure::{Basis, Cast, Dim, Indexable, Iterable, IterableMut, VecAsPnt};
+use traits::structure::{Basis, Cast, Dim, Indexable, Iterable, IterableMut, VecAsPnt, Shape};
 use structs::pnt::{Pnt1, Pnt2, Pnt3, Pnt4, Pnt5, Pnt6};
 
 

src/structs/vec_macros.rs

@@ -170,6 +170,13 @@ macro_rules! vec_cast_impl(
 
 macro_rules! indexable_impl(
     ($t: ident, $dim: expr) => (
+        impl<N> Shape<uint, N> for $t<N> {
+            #[inline]
+            fn shape(&self) -> uint {
+                $dim
+            }
+        }
+
         impl<N: Clone> Indexable<uint, N> for $t<N> {
             #[inline]
             fn at(&self, i: uint) -> N {
@@ -185,11 +192,6 @@ macro_rules! indexable_impl(
                 }
             }
 
-            #[inline]
-            fn shape(&self) -> uint {
-                $dim
-            }
-
             #[inline]
             fn swap(&mut self, i1: uint, i2: uint) {
                 unsafe {

src/traits/mod.rs

@@ -6,7 +6,7 @@ pub use self::geometry::{AbsoluteRotate, Cross, CrossMatrix, Dot, FromHomogeneou
 
 pub use self::structure::{FloatVec, FloatPnt, Basis, Cast, Col, Dim, Indexable, Iterable,
                           IterableMut, Mat, Row, AnyVec, AnyPnt, PntAsVec, VecAsPnt, ColSlice,
-                          RowSlice, Diag, Eye};
+                          RowSlice, Diag, Eye, Shape};
 
 pub use self::operations::{Absolute, ApproxEq, Axpy, Cov, Det, Inv, LMul, Mean, Outer, POrd,
                            RMul, ScalarAdd, ScalarSub, ScalarMul, ScalarDiv, Transpose};

src/traits/structure.rs

@@ -96,36 +96,35 @@ pub trait Diag<V> {
     fn diag(&self) -> V;
 }
 
-// FIXME: this trait should not be on nalgebra.
-// however, it is needed because std::ops::Index is (strangely) to poor: it
-// does not have a function to set values.
-// Also, using Index with tuples crashes.
+/// The shape of an indexable object.
+pub trait Shape<I, Res>: Index<I, Res> {
+    /// Returns the shape of an indexable object.
+    fn shape(&self) -> I;
+}
+
 /// This is a workaround of current Rust limitations.
 ///
-/// It exists because the `Index` trait cannot be used to express write access.
-/// Thus, this is the same as the `Index` trait but without the syntactic sugar and with a method
+/// It exists because the `I` trait cannot be used to express write access.
+/// Thus, this is the same as the `I` trait but without the syntactic sugar and with a method
 /// to write to a specific index.
-pub trait Indexable<Index, Res> {
+pub trait Indexable<I, Res>: Shape<I, Res> + IndexMut<I, Res> {
     #[deprecated = "use the Index `[]` overloaded operator instead"]
     /// Reads the `i`-th element of `self`.
-    fn at(&self, i: Index) -> Res;
+    fn at(&self, i: I) -> Res;
     #[deprecated = "use the IndexMut `[]` overloaded operator instead"]
     /// Writes to the `i`-th element of `self`.
-    fn set(&mut self, i: Index, Res);
+    fn set(&mut self, i: I, Res);
     /// Swaps the `i`-th element of `self` with its `j`-th element.
-    fn swap(&mut self, i: Index, j: Index);
-
-    /// Returns the shape of the iterable range.
-    fn shape(&self) -> Index;
+    fn swap(&mut self, i: I, j: I);
 
     /// Reads the `i`-th element of `self`.
     ///
     /// `i` is not checked.
-    unsafe fn unsafe_at(&self, i: Index) -> Res;
+    unsafe fn unsafe_at(&self, i: I) -> Res;
     /// Writes to the `i`-th element of `self`.
     ///
     /// `i` is not checked.
-    unsafe fn unsafe_set(&mut self, i: Index, Res);
+    unsafe fn unsafe_set(&mut self, i: I, Res);
 }
 
 /// This is a workaround of current Rust limitations.