Macro groupping.

CHANGELOG.md

@@ -13,6 +13,7 @@ This project adheres to [Semantic Versioning](http://semver.org/).
     - `.set_col` -> `.set_column`
     - `::canonical_basis_with_dim` -> `::canonical_basis_with_dimension`
     - `::from_elem` -> `::from_element`
+    - `DiagMut` -> `DiagonalMut`
   * Added:
     - Added `.exp()` and `.pow()` for quaternions.
 

Cargo.toml

@@ -1,6 +1,6 @@
 [package]
 name    = "nalgebra"
-version = "0.8.2"
+version = "0.9.0"
 authors = [ "Sébastien Crozet <developer@crozet.re>" ] # FIXME: add the contributors.
 
 description = "Linear algebra library for computer physics, computer graphics and general low-dimensional linear algebra for Rust."

benches/vec.rs

@@ -63,6 +63,13 @@ bench_unop!(_bench_vec4_normalize, Vector4<f32>, normalize);
 
 #[cfg(feature = "generic_sizes")]
 mod bench_vecn {
+    extern crate test;
+    extern crate rand;
+    extern crate nalgebra as na;
+
+    use rand::{IsaacRng, Rng};
+    use test::Bencher;
+    use std::ops::{Add, Sub, Mul, Div};
     use typenum::{U2, U3, U4};
     use na::VectorN;
 

src/linalg/decompositions.rs

@@ -1,5 +1,5 @@
 use traits::operations::{Transpose, ApproxEq};
-use traits::structure::{ColumnSlice, Eye, Indexable, Diagonal, SquareMatrix, BaseFloat, Cast};
+use traits::structure::{ColumnSlice, Eye, Indexable, SquareMatrix, BaseFloat, Cast};
 use traits::geometry::Norm;
 use std::cmp;
 use std::ops::{Mul, Add, Sub};

src/structs/common_macros.rs

@@ -0,0 +1,351 @@
+#![macro_use]
+
+macro_rules! pointwise_mul(
+    ($t: ident, $($compN: ident),+) => (
+        impl<N: Mul<N, Output = N>> Mul<$t<N>> for $t<N> {
+            type Output = $t<N>;
+
+            #[inline]
+            fn mul(self, right: $t<N>) -> $t<N> {
+                $t::new($(self.$compN * right.$compN),+)
+            }
+        }
+
+        impl<N: MulAssign<N>> MulAssign<$t<N>> for $t<N> {
+            #[inline]
+            fn mul_assign(&mut self, right: $t<N>) {
+                $( self.$compN *= right.$compN; )+
+            }
+        }
+    )
+);
+
+macro_rules! pointwise_div(
+    ($t: ident, $($compN: ident),+) => (
+        impl<N: Div<N, Output = N>> Div<$t<N>> for $t<N> {
+            type Output = $t<N>;
+
+            #[inline]
+            fn div(self, right: $t<N>) -> $t<N> {
+                $t::new($(self.$compN / right.$compN),+)
+            }
+        }
+
+        impl<N: DivAssign<N>> DivAssign<$t<N>> for $t<N> {
+            #[inline]
+            fn div_assign(&mut self, right: $t<N>) {
+                $( self.$compN /= right.$compN; )+
+            }
+        }
+    )
+);
+
+macro_rules! pointwise_add(
+    ($t: ident, $($compN: ident),+) => (
+        impl<N: Add<N, Output = N>> Add<$t<N>> for $t<N> {
+            type Output = $t<N>;
+
+            #[inline]
+            fn add(self, right: $t<N>) -> $t<N> {
+                $t::new($(self.$compN + right.$compN),+)
+            }
+        }
+
+        impl<N: AddAssign<N>> AddAssign<$t<N>> for $t<N> {
+            #[inline]
+            fn add_assign(&mut self, right: $t<N>) {
+                $( self.$compN += right.$compN; )+
+            }
+        }
+    )
+);
+
+
+macro_rules! pointwise_sub(
+    ($t: ident, $($compN: ident),+) => (
+        impl<N: Sub<N, Output = N>> Sub<$t<N>> for $t<N> {
+            type Output = $t<N>;
+
+            #[inline]
+            fn sub(self, right: $t<N>) -> $t<N> {
+                $t::new($(self.$compN - right.$compN),+)
+            }
+        }
+
+
+        impl<N: SubAssign<N>> SubAssign<$t<N>> for $t<N> {
+            #[inline]
+            fn sub_assign(&mut self, right: $t<N>) {
+                $( self.$compN -= right.$compN; )+
+            }
+        }
+    )
+);
+
+
+macro_rules! pointwise_scalar_mul(
+    ($t: ident, $($compN: ident),+) => (
+        impl<N: Copy + Mul<N, Output = N>> Mul<N> for $t<N> {
+            type Output = $t<N>;
+
+            #[inline]
+            fn mul(self, right: N) -> $t<N> {
+                $t::new($(self.$compN * right),+)
+            }
+        }
+
+        impl<N: Copy + MulAssign<N>> MulAssign<N> for $t<N> {
+            #[inline]
+            fn mul_assign(&mut self, right: N) {
+                $( self.$compN *= right; )+
+            }
+        }
+
+        impl Mul<$t<f32>> for f32 {
+            type Output = $t<f32>;
+
+            #[inline]
+            fn mul(self, right: $t<f32>) -> $t<f32> {
+                $t::new($(self * right.$compN),+)
+            }
+        }
+
+        impl Mul<$t<f64>> for f64 {
+            type Output = $t<f64>;
+
+            #[inline]
+            fn mul(self, right: $t<f64>) -> $t<f64> {
+                $t::new($(self * right.$compN),+)
+            }
+        }
+    )
+);
+
+
+macro_rules! pointwise_scalar_div(
+    ($t: ident, $($compN: ident),+) => (
+        impl<N: Copy + Div<N, Output = N>> Div<N> for $t<N> {
+            type Output = $t<N>;
+
+            #[inline]
+            fn div(self, right: N) -> $t<N> {
+                $t::new($(self.$compN / right),+)
+            }
+        }
+
+        impl<N: Copy + DivAssign<N>> DivAssign<N> for $t<N> {
+            #[inline]
+            fn div_assign(&mut self, right: N) {
+                $( self.$compN /= right; )+
+            }
+        }
+    )
+);
+
+
+macro_rules! pointwise_scalar_add(
+    ($t: ident, $($compN: ident),+) => (
+        impl<N: Copy + Add<N, Output = N>> Add<N> for $t<N> {
+            type Output = $t<N>;
+
+            #[inline]
+            fn add(self, right: N) -> $t<N> {
+                $t::new($(self.$compN + right),+)
+            }
+        }
+
+        impl<N: Copy + AddAssign<N>> AddAssign<N> for $t<N> {
+            #[inline]
+            fn add_assign(&mut self, right: N) {
+                $( self.$compN += right; )+
+            }
+        }
+
+        impl Add<$t<f32>> for f32 {
+            type Output = $t<f32>;
+
+            #[inline]
+            fn add(self, right: $t<f32>) -> $t<f32> {
+                $t::new($(self + right.$compN),+)
+            }
+        }
+
+        impl Add<$t<f64>> for f64 {
+            type Output = $t<f64>;
+
+            #[inline]
+            fn add(self, right: $t<f64>) -> $t<f64> {
+                $t::new($(self + right.$compN),+)
+            }
+        }
+    )
+);
+
+macro_rules! pointwise_scalar_sub(
+    ($t: ident, $($compN: ident),+) => (
+        impl<N: Copy + Sub<N, Output = N>> Sub<N> for $t<N> {
+            type Output = $t<N>;
+
+            #[inline]
+            fn sub(self, right: N) -> $t<N> {
+                $t::new($(self.$compN - right),+)
+            }
+        }
+
+        impl<N: Copy + SubAssign<N>> SubAssign<N> for $t<N> {
+            #[inline]
+            fn sub_assign(&mut self, right: N) {
+                $( self.$compN -= right; )+
+            }
+        }
+
+        impl Sub<$t<f32>> for f32 {
+            type Output = $t<f32>;
+
+            #[inline]
+            fn sub(self, right: $t<f32>) -> $t<f32> {
+                $t::new($(self - right.$compN),+)
+            }
+        }
+
+        impl Sub<$t<f64>> for f64 {
+            type Output = $t<f64>;
+
+            #[inline]
+            fn sub(self, right: $t<f64>) -> $t<f64> {
+                $t::new($(self - right.$compN),+)
+            }
+        }
+    )
+);
+
+macro_rules! componentwise_neg(
+    ($t: ident, $($compN: ident),+) => (
+        impl<N: Neg<Output = N> + Copy> Neg for $t<N> {
+            type Output = $t<N>;
+
+            #[inline]
+            fn neg(self) -> $t<N> {
+                $t::new($(-self.$compN ),+)
+            }
+        }
+    )
+);
+
+macro_rules! componentwise_repeat(
+    ($t: ident, $($compN: ident),+) => (
+        impl<N: Copy> Repeat<N> for $t<N> {
+            fn repeat(val: N) -> $t<N> {
+                $t {
+                    $($compN: val ),+
+                }
+            }
+        }
+    )
+);
+
+macro_rules! componentwise_absolute(
+    ($t: ident, $($compN: ident),+) => (
+        impl<N: Absolute<N>> Absolute<$t<N>> for $t<N> {
+            #[inline]
+            fn abs(m: &$t<N>) -> $t<N> {
+                $t::new($(::abs(&m.$compN) ),+)
+            }
+        }
+    )
+);
+
+macro_rules! componentwise_zero(
+    ($t: ident, $($compN: ident),+ ) => (
+        impl<N: Zero> Zero for $t<N> {
+            #[inline]
+            fn zero() -> $t<N> {
+                $t {
+                    $($compN: ::zero() ),+
+                }
+            }
+
+            #[inline]
+            fn is_zero(&self) -> bool {
+                $(::is_zero(&self.$compN) )&&+
+            }
+        }
+    )
+);
+
+macro_rules! componentwise_one(
+    ($t: ident, $($compN: ident),+ ) => (
+        impl<N: BaseNum> One for $t<N> {
+            #[inline]
+            fn one() -> $t<N> {
+                $t {
+                    $($compN: ::one() ),+
+                }
+            }
+        }
+    )
+);
+
+// Implements Arbitrary by setting each components to Arbitrary::arbitrary.
+macro_rules! componentwise_arbitrary(
+    ($t: ident, $($compN: ident),+ ) => (
+        #[cfg(feature="arbitrary")]
+        impl<N: Arbitrary> Arbitrary for $t<N> {
+            #[inline]
+            fn arbitrary<G: Gen>(g: &mut G) -> $t<N> {
+                $t { $($compN: Arbitrary::arbitrary(g),)* }
+            }
+        }
+    )
+);
+
+// Implements Rand by setting each components to Rand::rand.
+macro_rules! componentwise_rand(
+    ($t: ident, $($compN: ident),+ ) => (
+        impl<N: Rand> Rand for $t<N> {
+            #[inline]
+            fn rand<R: Rng>(rng: &mut R) -> $t<N> {
+                $t { $($compN: Rand::rand(rng), )* }
+            }
+        }
+    )
+);
+
+macro_rules! component_basis_element(
+    ($t: ident, $($compN: ident),+ ) => (
+        /*
+         *
+         * Element of the canonical basis.
+         *
+         */
+        impl<N: Zero + One> $t<N> {
+            $(
+                /// Create the element of the canonical basis having this component set to one and
+                /// all the others set to zero.
+                #[inline]
+                pub fn $compN() -> $t<N> {
+                    let mut res: $t<N> = ::zero();
+        
+                    res.$compN = ::one();
+        
+                    res
+                }
+             )+
+        }
+    )
+);
+
+// A function to create a new element from its component values.
+macro_rules! component_new(
+    ($t: ident, $($compN: ident),+) => (
+        impl<N> $t<N> {
+            /// Creation from component values.
+            #[inline]
+            pub fn new($($compN: N ),+) -> $t<N> {
+                $t {
+                    $($compN: $compN ),+
+                }
+            }
+        }
+    );
+);

src/structs/dmatrix.rs

@@ -9,7 +9,8 @@ use rand::{self, Rand};
 use num::{Zero, One};
 use structs::dvector::{DVector, DVector1, DVector2, DVector3, DVector4, DVector5, DVector6};
 use traits::operations::{ApproxEq, Inverse, Transpose, Mean, Covariance};
-use traits::structure::{Cast, Column, ColumnSlice, Row, RowSlice, Diagonal, DiagMut, Eye, Indexable, Shape, BaseNum};
+use traits::structure::{Cast, Column, ColumnSlice, Row, RowSlice, Diagonal, DiagonalMut, Eye,
+                        Indexable, Shape, BaseNum};
 #[cfg(feature="arbitrary")]
 use quickcheck::{Arbitrary, Gen};
 

src/structs/dmatrix_macros.rs

@@ -858,7 +858,7 @@ macro_rules! dmat_impl(
             }
         }
 
-        impl<N: Copy + Clone + Zero> DiagMut<$dvector<N>> for $dmatrix<N> {
+        impl<N: Copy + Clone + Zero> DiagonalMut<$dvector<N>> for $dmatrix<N> {
             #[inline]
             fn set_diagonal(&mut self, diagonal: &$dvector<N>) {
                 let smallest_dim = cmp::min(self.nrows, self.ncols);

src/structs/isometry.rs

@@ -74,8 +74,8 @@ impl<N: BaseFloat> Isometry3<N> {
     ///   requirement of this parameter is to not be collinear to `target - eye`.
     #[inline]
     pub fn look_at_rh(eye: &Point3<N>, target: &Point3<N>, up: &Vector3<N>) -> Isometry3<N> {
-        let rotation   = Rotation3::look_at_rh(&(*target - *eye), up);
-        let trans = rotation * (-*eye);
+        let rotation = Rotation3::look_at_rh(&(*target - *eye), up);
+        let trans    = rotation * (-*eye);
 
         Isometry3::new_with_rotation_matrix(trans.to_vector(), rotation)
     }
@@ -92,53 +92,15 @@ impl<N: BaseFloat> Isometry3<N> {
     ///   requirement of this parameter is to not be collinear to `target - eye`.
     #[inline]
     pub fn look_at_lh(eye: &Point3<N>, target: &Point3<N>, up: &Vector3<N>) -> Isometry3<N> {
-        let rotation   = Rotation3::look_at_lh(&(*target - *eye), up);
-        let trans = rotation * (-*eye);
+        let rotation = Rotation3::look_at_lh(&(*target - *eye), up);
+        let trans    = rotation * (-*eye);
 
         Isometry3::new_with_rotation_matrix(trans.to_vector(), rotation)
     }
 }
 
-isometry_impl!(Isometry2, Rotation2, Vector2, Vector1);
-rotation_matrix_impl!(Isometry2, Rotation2, Vector2, Vector1);
-rotation_impl!(Isometry2, Rotation2, Vector1);
+isometry_impl!(Isometry2, Rotation2, Vector2, Vector1, Point2, Matrix3);
 dim_impl!(Isometry2, 2);
-one_impl!(Isometry2);
-absolute_rotate_impl!(Isometry2, Vector2);
-rand_impl!(Isometry2);
-approx_eq_impl!(Isometry2);
-to_homogeneous_impl!(Isometry2, Matrix3);
-inverse_impl!(Isometry2);
-transform_impl!(Isometry2, Point2);
-transformation_impl!(Isometry2);
-rotate_impl!(Isometry2, Vector2);
-translation_impl!(Isometry2, Vector2);
-translate_impl!(Isometry2, Point2);
-isometry_mul_isometry_impl!(Isometry2);
-isometry_mul_rotation_impl!(Isometry2, Rotation2);
-isometry_mul_point_impl!(Isometry2, Point2);
-isometry_mul_vec_impl!(Isometry2, Vector2);
-arbitrary_isometry_impl!(Isometry2);
-isometry_display_impl!(Isometry2);
 
-isometry_impl!(Isometry3, Rotation3, Vector3, Vector3);
-rotation_matrix_impl!(Isometry3, Rotation3, Vector3, Vector3);
-rotation_impl!(Isometry3, Rotation3, Vector3);
+isometry_impl!(Isometry3, Rotation3, Vector3, Vector3, Point3, Matrix4);
 dim_impl!(Isometry3, 3);
-one_impl!(Isometry3);
-absolute_rotate_impl!(Isometry3, Vector3);
-rand_impl!(Isometry3);
-approx_eq_impl!(Isometry3);
-to_homogeneous_impl!(Isometry3, Matrix4);
-inverse_impl!(Isometry3);
-transform_impl!(Isometry3, Point3);
-transformation_impl!(Isometry3);
-rotate_impl!(Isometry3, Vector3);
-translation_impl!(Isometry3, Vector3);
-translate_impl!(Isometry3, Point3);
-isometry_mul_isometry_impl!(Isometry3);
-isometry_mul_rotation_impl!(Isometry3, Rotation3);
-isometry_mul_point_impl!(Isometry3, Point3);
-isometry_mul_vec_impl!(Isometry3, Vector3);
-arbitrary_isometry_impl!(Isometry3);
-isometry_display_impl!(Isometry3);

src/structs/isometry_macros.rs

@@ -1,68 +1,63 @@
 #![macro_use]
 
 macro_rules! isometry_impl(
-    ($t: ident, $submatrix: ident, $subvector: ident, $subrotvector: ident) => (
+    ($t: ident, $rotmatrix: ident, $vector: ident, $rotvector: ident, $point: ident,
+     $homogeneous: ident) => (
         impl<N: BaseFloat> $t<N> {
             /// Creates a new isometry from an axis-angle rotation, and a vector.
             #[inline]
-            pub fn new(translation: $subvector<N>, rotation: $subrotvector<N>) -> $t<N> {
+            pub fn new(translation: $vector<N>, rotation: $rotvector<N>) -> $t<N> {
                 $t {
-                    rotation:    $submatrix::new(rotation),
+                    rotation:    $rotmatrix::new(rotation),
                     translation: translation
                 }
             }
 
             /// Creates a new isometry from a rotation matrix and a vector.
             #[inline]
-            pub fn new_with_rotation_matrix(translation: $subvector<N>, rotation: $submatrix<N>) -> $t<N> {
+            pub fn new_with_rotation_matrix(translation: $vector<N>, rotation: $rotmatrix<N>) -> $t<N> {
                 $t {
                     rotation:    rotation,
                     translation: translation
                 }
             }
         }
-    )
-);
 
-macro_rules! rotation_matrix_impl(
-    ($t: ident, $trotation: ident, $tlv: ident, $tav: ident) => (
+
+        /*
+         *
+         * RotationMatrix
+         *
+         */
         impl<N: Cast<f64> + BaseFloat>
-        RotationMatrix<N, $tlv<N>, $tav<N>> for $t<N> {
-            type Output = $trotation<N>;
+        RotationMatrix<N, $vector<N>, $rotvector<N>> for $t<N> {
+            type Output = $rotmatrix<N>;
 
             #[inline]
-            fn to_rotation_matrix(&self) -> $trotation<N> {
+            fn to_rotation_matrix(&self) -> $rotmatrix<N> {
                 self.rotation
             }
         }
-    )
-);
 
 
-macro_rules! dim_impl(
-    ($t: ident, $dimension: expr) => (
-        impl<N> Dimension for $t<N> {
-            #[inline]
-            fn dimension(_: Option<$t<N>>) -> usize {
-                $dimension
-            }
-        }
-    )
-);
-
-macro_rules! one_impl(
-    ($t: ident) => (
+        /*
+         *
+         * One
+         *
+         */
         impl<N: BaseFloat> One for $t<N> {
             #[inline]
             fn one() -> $t<N> {
                 $t::new_with_rotation_matrix(::zero(), ::one())
             }
         }
-    )
-);
 
-macro_rules! isometry_mul_isometry_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * Isometry × Isometry
+         *
+         */
         impl<N: BaseFloat> Mul<$t<N>> for $t<N> {
             type Output = $t<N>;
 
@@ -81,21 +76,23 @@ macro_rules! isometry_mul_isometry_impl(
                 self.rotation    *= right.rotation;
             }
         }
-    )
-);
 
-macro_rules! isometry_mul_rotation_impl(
-    ($t: ident, $rotation: ident) => (
-        impl<N: BaseFloat> Mul<$rotation<N>> for $t<N> {
+
+        /*
+         *
+         * Isometry × Rotation
+         *
+         */
+        impl<N: BaseFloat> Mul<$rotmatrix<N>> for $t<N> {
             type Output = $t<N>;
 
             #[inline]
-            fn mul(self, right: $rotation<N>) -> $t<N> {
+            fn mul(self, right: $rotmatrix<N>) -> $t<N> {
                 $t::new_with_rotation_matrix(self.translation, self.rotation * right)
             }
         }
 
-        impl<N: BaseFloat> Mul<$t<N>> for $rotation<N> {
+        impl<N: BaseFloat> Mul<$t<N>> for $rotmatrix<N> {
             type Output = $t<N>;
 
             #[inline]
@@ -106,167 +103,181 @@ macro_rules! isometry_mul_rotation_impl(
             }
         }
 
-        impl<N: BaseFloat> MulAssign<$rotation<N>> for $t<N> {
+        impl<N: BaseFloat> MulAssign<$rotmatrix<N>> for $t<N> {
             #[inline]
-            fn mul_assign(&mut self, right: $rotation<N>) {
+            fn mul_assign(&mut self, right: $rotmatrix<N>) {
                 self.rotation *= right
             }
         }
-    )
-);
 
-macro_rules! isometry_mul_point_impl(
-    ($t: ident, $tv: ident) => (
-        impl<N: BaseNum> Mul<$tv<N>> for $t<N> {
-            type Output = $tv<N>;
+
+        /*
+         *
+         * Isometry × Point
+         *
+         */
+        impl<N: BaseNum> Mul<$point<N>> for $t<N> {
+            type Output = $point<N>;
 
             #[inline]
-            fn mul(self, right: $tv<N>) -> $tv<N> {
+            fn mul(self, right: $point<N>) -> $point<N> {
                 self.rotation * right + self.translation
             }
         }
-    )
-);
 
-macro_rules! isometry_mul_vec_impl(
-    ($t: ident, $tv: ident) => (
-        impl<N: BaseNum> Mul<$tv<N>> for $t<N> {
-            type Output = $tv<N>;
+
+        /*
+         *
+         * Isometry × Vector
+         *
+         */
+        impl<N: BaseNum> Mul<$vector<N>> for $t<N> {
+            type Output = $vector<N>;
 
             #[inline]
-            fn mul(self, right: $tv<N>) -> $tv<N> {
+            fn mul(self, right: $vector<N>) -> $vector<N> {
                 self.rotation * right
             }
         }
-    )
-);
 
-macro_rules! translation_impl(
-    ($t: ident, $tv: ident) => (
-        impl<N: BaseFloat> Translation<$tv<N>> for $t<N> {
+
+        /*
+         *
+         * Translation
+         *
+         */
+        impl<N: BaseFloat> Translation<$vector<N>> for $t<N> {
             #[inline]
-            fn translation(&self) -> $tv<N> {
+            fn translation(&self) -> $vector<N> {
                 self.translation
             }
 
             #[inline]
-            fn inverse_translation(&self) -> $tv<N> {
+            fn inverse_translation(&self) -> $vector<N> {
                 -self.translation
             }
 
             #[inline]
-            fn append_translation_mut(&mut self, t: &$tv<N>) {
+            fn append_translation_mut(&mut self, t: &$vector<N>) {
                 self.translation = *t + self.translation
             }
 
             #[inline]
-            fn append_translation(&self, t: &$tv<N>) -> $t<N> {
+            fn append_translation(&self, t: &$vector<N>) -> $t<N> {
                 $t::new_with_rotation_matrix(*t + self.translation, self.rotation)
             }
 
             #[inline]
-            fn prepend_translation_mut(&mut self, t: &$tv<N>) {
+            fn prepend_translation_mut(&mut self, t: &$vector<N>) {
                 self.translation = self.translation + self.rotation * *t
             }
 
             #[inline]
-            fn prepend_translation(&self, t: &$tv<N>) -> $t<N> {
+            fn prepend_translation(&self, t: &$vector<N>) -> $t<N> {
                 $t::new_with_rotation_matrix(self.translation + self.rotation * *t, self.rotation)
             }
 
             #[inline]
-            fn set_translation(&mut self, t: $tv<N>) {
+            fn set_translation(&mut self, t: $vector<N>) {
                 self.translation = t
             }
         }
-    )
-);
 
-macro_rules! translate_impl(
-    ($t: ident, $tv: ident) => (
-        impl<N: Copy + Add<N, Output = N> + Sub<N, Output = N>> Translate<$tv<N>> for $t<N> {
+
+        /*
+         *
+         * Translate
+         *
+         */
+        impl<N: Copy + Add<N, Output = N> + Sub<N, Output = N>> Translate<$point<N>> for $t<N> {
             #[inline]
-            fn translate(&self, v: &$tv<N>) -> $tv<N> {
+            fn translate(&self, v: &$point<N>) -> $point<N> {
                 *v + self.translation
             }
 
             #[inline]
-            fn inverse_translate(&self, v: &$tv<N>) -> $tv<N> {
+            fn inverse_translate(&self, v: &$point<N>) -> $point<N> {
                 *v - self.translation
             }
         }
-    )
-);
 
-macro_rules! rotation_impl(
-    ($t: ident, $trotation: ident, $tav: ident) => (
-        impl<N: Cast<f64> + BaseFloat> Rotation<$tav<N>> for $t<N> {
+
+        /*
+         *
+         * Rotation
+         *
+         */
+        impl<N: Cast<f64> + BaseFloat> Rotation<$rotvector<N>> for $t<N> {
             #[inline]
-            fn rotation(&self) -> $tav<N> {
+            fn rotation(&self) -> $rotvector<N> {
                 self.rotation.rotation()
             }
 
             #[inline]
-            fn inverse_rotation(&self) -> $tav<N> {
+            fn inverse_rotation(&self) -> $rotvector<N> {
                 self.rotation.inverse_rotation()
             }
 
             #[inline]
-            fn append_rotation_mut(&mut self, rotation: &$tav<N>) {
-                let delta = $trotation::new(*rotation);
+            fn append_rotation_mut(&mut self, rotation: &$rotvector<N>) {
+                let delta = $rotmatrix::new(*rotation);
 
                 self.rotation    = delta * self.rotation;
                 self.translation = delta * self.translation;
             }
 
             #[inline]
-            fn append_rotation(&self, rotation: &$tav<N>) -> $t<N> {
-                let delta = $trotation::new(*rotation);
+            fn append_rotation(&self, rotation: &$rotvector<N>) -> $t<N> {
+                let delta = $rotmatrix::new(*rotation);
 
                 $t::new_with_rotation_matrix(delta * self.translation, delta * self.rotation)
             }
 
             #[inline]
-            fn prepend_rotation_mut(&mut self, rotation: &$tav<N>) {
-                let delta = $trotation::new(*rotation);
+            fn prepend_rotation_mut(&mut self, rotation: &$rotvector<N>) {
+                let delta = $rotmatrix::new(*rotation);
 
                 self.rotation = self.rotation * delta;
             }
 
             #[inline]
-            fn prepend_rotation(&self, rotation: &$tav<N>) -> $t<N> {
-                let delta = $trotation::new(*rotation);
+            fn prepend_rotation(&self, rotation: &$rotvector<N>) -> $t<N> {
+                let delta = $rotmatrix::new(*rotation);
 
                 $t::new_with_rotation_matrix(self.translation, self.rotation * delta)
             }
 
             #[inline]
-            fn set_rotation(&mut self, rotation: $tav<N>) {
+            fn set_rotation(&mut self, rotation: $rotvector<N>) {
                 // FIXME: should the translation be changed too?
                 self.rotation.set_rotation(rotation)
             }
         }
-    )
-);
 
-macro_rules! rotate_impl(
-    ($t: ident, $tv: ident) => (
-        impl<N: BaseNum> Rotate<$tv<N>> for $t<N> {
+
+        /*
+         *
+         * Rotate
+         *
+         */
+        impl<N: BaseNum> Rotate<$vector<N>> for $t<N> {
             #[inline]
-            fn rotate(&self, v: &$tv<N>) -> $tv<N> {
+            fn rotate(&self, v: &$vector<N>) -> $vector<N> {
                 self.rotation.rotate(v)
             }
 
             #[inline]
-            fn inverse_rotate(&self, v: &$tv<N>) -> $tv<N> {
+            fn inverse_rotate(&self, v: &$vector<N>) -> $vector<N> {
                 self.rotation.inverse_rotate(v)
             }
         }
-    )
-);
 
-macro_rules! transformation_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * Transformation
+         *
+         */
         impl<N: BaseFloat> Transformation<$t<N>> for $t<N> {
             fn transformation(&self) -> $t<N> {
                 *self
@@ -297,27 +308,31 @@ macro_rules! transformation_impl(
                 *self = t
             }
         }
-    )
-);
 
-macro_rules! transform_impl(
-    ($t: ident, $tp: ident) => (
-        impl<N: BaseNum> Transform<$tp<N>> for $t<N> {
+
+        /*
+         *
+         * Transform
+         *
+         */
+        impl<N: BaseNum> Transform<$point<N>> for $t<N> {
             #[inline]
-            fn transform(&self, p: &$tp<N>) -> $tp<N> {
+            fn transform(&self, p: &$point<N>) -> $point<N> {
                 self.rotation.transform(p) + self.translation
             }
 
             #[inline]
-            fn inverse_transform(&self, p: &$tp<N>) -> $tp<N> {
+            fn inverse_transform(&self, p: &$point<N>) -> $point<N> {
                 self.rotation.inverse_transform(&(*p - self.translation))
             }
         }
-    )
-);
 
-macro_rules! inverse_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * Inverse
+         *
+         */
         impl<N: BaseNum + Neg<Output = N>> Inverse for $t<N> {
             #[inline]
             fn inverse_mut(&mut self) -> bool {
@@ -335,28 +350,32 @@ macro_rules! inverse_impl(
                 Some(res)
             }
         }
-    )
-);
 
-macro_rules! to_homogeneous_impl(
-    ($t: ident, $th: ident) => (
-        impl<N: BaseNum> ToHomogeneous<$th<N>> for $t<N> {
-            fn to_homogeneous(&self) -> $th<N> {
+
+        /*
+         *
+         * ToHomogeneous
+         *
+         */
+        impl<N: BaseNum> ToHomogeneous<$homogeneous<N>> for $t<N> {
+            fn to_homogeneous(&self) -> $homogeneous<N> {
                 let mut res = self.rotation.to_homogeneous();
 
                 // copy the translation
-                let dimension = Dimension::dimension(None::<$th<N>>);
+                let dimension = Dimension::dimension(None::<$homogeneous<N>>);
 
                 res.set_column(dimension - 1, self.translation.as_point().to_homogeneous().to_vector());
 
                 res
             }
         }
-    )
-);
 
-macro_rules! approx_eq_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * ApproxEq
+         *
+         */
         impl<N: ApproxEq<N>> ApproxEq<N> for $t<N> {
             #[inline]
             fn approx_epsilon(_: Option<$t<N>>) -> N {
@@ -380,33 +399,39 @@ macro_rules! approx_eq_impl(
                     ApproxEq::approx_eq_ulps(&self.translation, &other.translation, ulps)
             }
         }
-    )
-);
 
-macro_rules! rand_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * Rand
+         *
+         */
         impl<N: Rand + BaseFloat> Rand for $t<N> {
             #[inline]
             fn rand<R: Rng>(rng: &mut R) -> $t<N> {
                 $t::new(rng.gen(), rng.gen())
             }
         }
-    )
-);
 
-macro_rules! absolute_rotate_impl(
-    ($t: ident, $tv: ident) => (
-        impl<N: BaseFloat> AbsoluteRotate<$tv<N>> for $t<N> {
+
+        /*
+         *
+         * AbsoluteRotate
+         *
+         */
+        impl<N: BaseFloat> AbsoluteRotate<$vector<N>> for $t<N> {
             #[inline]
-            fn absolute_rotate(&self, v: &$tv<N>) -> $tv<N> {
+            fn absolute_rotate(&self, v: &$vector<N>) -> $vector<N> {
                 self.rotation.absolute_rotate(v)
             }
         }
-    )
-);
 
-macro_rules! arbitrary_isometry_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * Arbitrary
+         *
+         */
         #[cfg(feature="arbitrary")]
         impl<N: Arbitrary + BaseFloat> Arbitrary for $t<N> {
             fn arbitrary<G: Gen>(g: &mut G) -> $t<N> {
@@ -416,11 +441,13 @@ macro_rules! arbitrary_isometry_impl(
                 )
             }
         }
-    )
-);
 
-macro_rules! isometry_display_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * Display
+         *
+         */
         impl<N: fmt::Display + BaseFloat> fmt::Display for $t<N> {
             fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
                 try!(writeln!(f, "Isometry {{"));
@@ -441,3 +468,14 @@ macro_rules! isometry_display_impl(
         }
     )
 );
+
+macro_rules! dim_impl(
+    ($t: ident, $dimension: expr) => (
+        impl<N> Dimension for $t<N> {
+            #[inline]
+            fn dimension(_: Option<$t<N>>) -> usize {
+                $dimension
+            }
+        }
+    )
+);

src/structs/matrix.rs

@@ -14,7 +14,7 @@ use structs::point::{Point1, Point4, Point5, Point6};
 use structs::dvector::{DVector1, DVector2, DVector3, DVector4, DVector5, DVector6};
 
 use traits::structure::{Cast, Row, Column, Iterable, IterableMut, Dimension, Indexable, Eye, ColumnSlice,
-                        RowSlice, Diagonal, DiagMut, Shape, BaseFloat, BaseNum, Repeat};
+                        RowSlice, Diagonal, DiagonalMut, Shape, BaseFloat, BaseNum, Repeat};
 use traits::operations::{Absolute, Transpose, Inverse, Outer, EigenQR, Mean};
 use traits::geometry::{ToHomogeneous, FromHomogeneous, Origin};
 use linalg;
@@ -50,45 +50,20 @@ pub struct Matrix1<N> {
 
 eye_impl!(Matrix1, 1, m11);
 
-mat_impl!(Matrix1, m11);
-repeat_impl!(Matrix1, m11);
-conversion_impl!(Matrix1, 1);
-mat_cast_impl!(Matrix1, m11);
-add_impl!(Matrix1, m11);
-sub_impl!(Matrix1, m11);
-scalar_add_impl!(Matrix1, m11);
-scalar_sub_impl!(Matrix1, m11);
-scalar_mul_impl!(Matrix1, m11);
-scalar_div_impl!(Matrix1, m11);
-absolute_impl!(Matrix1, m11);
-zero_impl!(Matrix1, m11);
+matrix_impl!(Matrix1, 1, Vector1, DVector1, m11);
 one_impl!(Matrix1, ::one);
-iterable_impl!(Matrix1, 1);
-iterable_mut_impl!(Matrix1, 1);
-at_fast_impl!(Matrix1, 1);
 dim_impl!(Matrix1, 1);
-indexable_impl!(Matrix1, 1);
-index_impl!(Matrix1, 1);
 mat_mul_mat_impl!(Matrix1, 1);
 mat_mul_vec_impl!(Matrix1, Vector1, 1, ::zero);
 vec_mul_mat_impl!(Matrix1, Vector1, 1, ::zero);
 mat_mul_point_impl!(Matrix1, Point1, 1, Origin::origin);
 point_mul_mat_impl!(Matrix1, Point1, 1, Origin::origin);
 // (specialized); inverse_impl!(Matrix1, 1);
-transpose_impl!(Matrix1, 1);
-approx_eq_impl!(Matrix1);
-row_impl!(Matrix1, Vector1, 1);
-column_impl!(Matrix1, Vector1, 1);
-column_slice_impl!(Matrix1, Vector1, DVector1, 1);
-row_slice_impl!(Matrix1, Vector1, DVector1, 1);
-diag_impl!(Matrix1, Vector1, 1);
 to_homogeneous_impl!(Matrix1, Matrix2, 1, 2);
 from_homogeneous_impl!(Matrix1, Matrix2, 1, 2);
-outer_impl!(Vector1, Matrix1);
 eigen_qr_impl!(Matrix1, Vector1);
-arbitrary_impl!(Matrix1, m11);
-rand_impl!(Matrix1, m11);
-mean_impl!(Matrix1, Vector1, 1);
+componentwise_arbitrary!(Matrix1, m11);
+componentwise_rand!(Matrix1, m11);
 mat_display_impl!(Matrix1, 1);
 
 /// Square matrix of dimension 2.
@@ -101,49 +76,20 @@ pub struct Matrix2<N> {
 
 eye_impl!(Matrix2, 2, m11, m22);
 
-mat_impl!(Matrix2, m11, m12,
-                m21, m22);
-repeat_impl!(Matrix2, m11, m12,
-                   m21, m22);
-conversion_impl!(Matrix2, 2);
-mat_cast_impl!(Matrix2, m11, m12,
-                     m21, m22);
-add_impl!(Matrix2, m11, m12, m21, m22);
-sub_impl!(Matrix2, m11, m12, m21, m22);
-scalar_add_impl!(Matrix2, m11, m12, m21, m22);
-scalar_sub_impl!(Matrix2, m11, m12, m21, m22);
-scalar_mul_impl!(Matrix2, m11, m12, m21, m22);
-scalar_div_impl!(Matrix2, m11, m12, m21, m22);
-absolute_impl!(Matrix2, m11, m12,
-                     m21, m22);
-zero_impl!(Matrix2, m11, m12,
-                 m21, m22);
+matrix_impl!(Matrix2, 2, Vector2, DVector2, m11, m12,
+                                  m21, m22);
 one_impl!(Matrix2, ::one,  ::zero,
                 ::zero, ::one);
-iterable_impl!(Matrix2, 2);
-iterable_mut_impl!(Matrix2, 2);
 dim_impl!(Matrix2, 2);
-indexable_impl!(Matrix2, 2);
-index_impl!(Matrix2, 2);
-at_fast_impl!(Matrix2, 2);
 // (specialized); mul_impl!(Matrix2, 2);
 // (specialized); rmul_impl!(Matrix2, Vector2, 2);
 // (specialized); lmul_impl!(Matrix2, Vector2, 2);
 // (specialized); inverse_impl!(Matrix2, 2);
-transpose_impl!(Matrix2, 2);
-approx_eq_impl!(Matrix2);
-row_impl!(Matrix2, Vector2, 2);
-column_impl!(Matrix2, Vector2, 2);
-column_slice_impl!(Matrix2, Vector2, DVector2, 2);
-row_slice_impl!(Matrix2, Vector2, DVector2, 2);
-diag_impl!(Matrix2, Vector2, 2);
 to_homogeneous_impl!(Matrix2, Matrix3, 2, 3);
 from_homogeneous_impl!(Matrix2, Matrix3, 2, 3);
-outer_impl!(Vector2, Matrix2);
 eigen_qr_impl!(Matrix2, Vector2);
-arbitrary_impl!(Matrix2, m11, m12, m21, m22);
-rand_impl!(Matrix2, m11, m12, m21, m22);
-mean_impl!(Matrix2, Vector2, 2);
+componentwise_arbitrary!(Matrix2, m11, m12, m21, m22);
+componentwise_rand!(Matrix2, m11, m12, m21, m22);
 mat_display_impl!(Matrix2, 2);
 
 /// Square matrix of dimension 3.
@@ -157,91 +103,30 @@ pub struct Matrix3<N> {
 
 eye_impl!(Matrix3, 3, m11, m22, m33);
 
-mat_impl!(Matrix3, m11, m12, m13,
-                m21, m22, m23,
-                m31, m32, m33);
-repeat_impl!(Matrix3, m11, m12, m13,
-                   m21, m22, m23,
-                   m31, m32, m33);
-conversion_impl!(Matrix3, 3);
-mat_cast_impl!(Matrix3, m11, m12, m13,
-                     m21, m22, m23,
-                     m31, m32, m33);
-add_impl!(Matrix3,
-    m11, m12, m13,
-    m21, m22, m23,
-    m31, m32, m33
-);
-sub_impl!(Matrix3,
-    m11, m12, m13,
-    m21, m22, m23,
-    m31, m32, m33
-);
-scalar_add_impl!(Matrix3,
-    m11, m12, m13,
-    m21, m22, m23,
-    m31, m32, m33
-);
-scalar_sub_impl!(Matrix3,
-    m11, m12, m13,
-    m21, m22, m23,
-    m31, m32, m33
-);
-scalar_mul_impl!(Matrix3,
-    m11, m12, m13,
-    m21, m22, m23,
-    m31, m32, m33
-);
-scalar_div_impl!(Matrix3,
-    m11, m12, m13,
-    m21, m22, m23,
-    m31, m32, m33
-);
-absolute_impl!(Matrix3,
-    m11, m12, m13,
-    m21, m22, m23,
-    m31, m32, m33
-);
-zero_impl!(Matrix3,
-    m11, m12, m13,
-    m21, m22, m23,
-    m31, m32, m33
-);
+matrix_impl!(Matrix3, 3, Vector3, DVector3, m11, m12, m13,
+                                            m21, m22, m23,
+                                            m31, m32, m33);
 one_impl!(Matrix3, ::one , ::zero, ::zero,
                 ::zero, ::one , ::zero,
                 ::zero, ::zero, ::one);
-iterable_impl!(Matrix3, 3);
-iterable_mut_impl!(Matrix3, 3);
 dim_impl!(Matrix3, 3);
-indexable_impl!(Matrix3, 3);
-index_impl!(Matrix3, 3);
-at_fast_impl!(Matrix3, 3);
 // (specialized); mul_impl!(Matrix3, 3);
 // (specialized); rmul_impl!(Matrix3, Vector3, 3);
 // (specialized); lmul_impl!(Matrix3, Vector3, 3);
 // (specialized); inverse_impl!(Matrix3, 3);
-transpose_impl!(Matrix3, 3);
-approx_eq_impl!(Matrix3);
-// (specialized); row_impl!(Matrix3, Vector3, 3);
-// (specialized); column_impl!(Matrix3, Vector3, 3);
-column_slice_impl!(Matrix3, Vector3, DVector3, 3);
-row_slice_impl!(Matrix3, Vector3, DVector3, 3);
-diag_impl!(Matrix3, Vector3, 3);
 to_homogeneous_impl!(Matrix3, Matrix4, 3, 4);
 from_homogeneous_impl!(Matrix3, Matrix4, 3, 4);
-outer_impl!(Vector3, Matrix3);
 eigen_qr_impl!(Matrix3, Vector3);
-arbitrary_impl!(Matrix3,
+componentwise_arbitrary!(Matrix3,
     m11, m12, m13,
     m21, m22, m23,
     m31, m32, m33
 );
-rand_impl!(Matrix3,
+componentwise_rand!(Matrix3,
     m11, m12, m13,
     m21, m22, m23,
     m31, m32, m33
 );
-mean_impl!(Matrix3, Vector3, 3);
 mat_display_impl!(Matrix3, 3);
 
 /// Square matrix of dimension 4.
@@ -256,68 +141,7 @@ pub struct Matrix4<N> {
 
 eye_impl!(Matrix4, 4, m11, m22, m33, m44);
 
-mat_impl!(Matrix4,
-  m11, m12, m13, m14,
-  m21, m22, m23, m24,
-  m31, m32, m33, m34,
-  m41, m42, m43, m44
-);
-repeat_impl!(Matrix4,
-  m11, m12, m13, m14,
-  m21, m22, m23, m24,
-  m31, m32, m33, m34,
-  m41, m42, m43, m44
-);
-conversion_impl!(Matrix4, 4);
-mat_cast_impl!(Matrix4,
-  m11, m12, m13, m14,
-  m21, m22, m23, m24,
-  m31, m32, m33, m34,
-  m41, m42, m43, m44
-);
-add_impl!(Matrix4,
-  m11, m12, m13, m14,
-  m21, m22, m23, m24,
-  m31, m32, m33, m34,
-  m41, m42, m43, m44
-);
-sub_impl!(Matrix4,
-  m11, m12, m13, m14,
-  m21, m22, m23, m24,
-  m31, m32, m33, m34,
-  m41, m42, m43, m44
-);
-scalar_add_impl!(Matrix4,
-  m11, m12, m13, m14,
-  m21, m22, m23, m24,
-  m31, m32, m33, m34,
-  m41, m42, m43, m44
-);
-scalar_sub_impl!(Matrix4,
-  m11, m12, m13, m14,
-  m21, m22, m23, m24,
-  m31, m32, m33, m34,
-  m41, m42, m43, m44
-);
-scalar_mul_impl!(Matrix4,
-  m11, m12, m13, m14,
-  m21, m22, m23, m24,
-  m31, m32, m33, m34,
-  m41, m42, m43, m44
-);
-scalar_div_impl!(Matrix4,
-  m11, m12, m13, m14,
-  m21, m22, m23, m24,
-  m31, m32, m33, m34,
-  m41, m42, m43, m44
-);
-absolute_impl!(Matrix4,
-  m11, m12, m13, m14,
-  m21, m22, m23, m24,
-  m31, m32, m33, m34,
-  m41, m42, m43, m44
-);
-zero_impl!(Matrix4,
+matrix_impl!(Matrix4, 4, Vector4, DVector4,
   m11, m12, m13, m14,
   m21, m22, m23, m24,
   m31, m32, m33, m34,
@@ -327,42 +151,28 @@ one_impl!(Matrix4, ::one  , ::zero, ::zero, ::zero,
                 ::zero, ::one  , ::zero, ::zero,
                 ::zero, ::zero, ::one  , ::zero,
                 ::zero, ::zero, ::zero, ::one);
-iterable_impl!(Matrix4, 4);
-iterable_mut_impl!(Matrix4, 4);
 dim_impl!(Matrix4, 4);
-indexable_impl!(Matrix4, 4);
-index_impl!(Matrix4, 4);
-at_fast_impl!(Matrix4, 4);
 mat_mul_mat_impl!(Matrix4, 4);
 mat_mul_vec_impl!(Matrix4, Vector4, 4, ::zero);
 vec_mul_mat_impl!(Matrix4, Vector4, 4, ::zero);
 mat_mul_point_impl!(Matrix4, Point4, 4, Origin::origin);
 point_mul_mat_impl!(Matrix4, Point4, 4, Origin::origin);
 inverse_impl!(Matrix4, 4);
-transpose_impl!(Matrix4, 4);
-approx_eq_impl!(Matrix4);
-row_impl!(Matrix4, Vector4, 4);
-column_impl!(Matrix4, Vector4, 4);
-column_slice_impl!(Matrix4, Vector4, DVector4, 4);
-row_slice_impl!(Matrix4, Vector4, DVector4, 4);
-diag_impl!(Matrix4, Vector4, 4);
 to_homogeneous_impl!(Matrix4, Matrix5, 4, 5);
 from_homogeneous_impl!(Matrix4, Matrix5, 4, 5);
-outer_impl!(Vector4, Matrix4);
 eigen_qr_impl!(Matrix4, Vector4);
-arbitrary_impl!(Matrix4,
+componentwise_arbitrary!(Matrix4,
   m11, m12, m13, m14,
   m21, m22, m23, m24,
   m31, m32, m33, m34,
   m41, m42, m43, m44
 );
-rand_impl!(Matrix4,
+componentwise_rand!(Matrix4,
   m11, m12, m13, m14,
   m21, m22, m23, m24,
   m31, m32, m33, m34,
   m41, m42, m43, m44
 );
-mean_impl!(Matrix4, Vector4, 4);
 mat_display_impl!(Matrix4, 4);
 
 /// Square matrix of dimension 5.
@@ -378,36 +188,7 @@ pub struct Matrix5<N> {
 
 eye_impl!(Matrix5, 5, m11, m22, m33, m44, m55);
 
-mat_impl!(Matrix5,
-  m11, m12, m13, m14, m15,
-  m21, m22, m23, m24, m25,
-  m31, m32, m33, m34, m35,
-  m41, m42, m43, m44, m45,
-  m51, m52, m53, m54, m55
-);
-repeat_impl!(Matrix5,
-  m11, m12, m13, m14, m15,
-  m21, m22, m23, m24, m25,
-  m31, m32, m33, m34, m35,
-  m41, m42, m43, m44, m45,
-  m51, m52, m53, m54, m55
-);
-conversion_impl!(Matrix5, 5);
-mat_cast_impl!(Matrix5,
-  m11, m12, m13, m14, m15,
-  m21, m22, m23, m24, m25,
-  m31, m32, m33, m34, m35,
-  m41, m42, m43, m44, m45,
-  m51, m52, m53, m54, m55
-);
-absolute_impl!(Matrix5,
-  m11, m12, m13, m14, m15,
-  m21, m22, m23, m24, m25,
-  m31, m32, m33, m34, m35,
-  m41, m42, m43, m44, m45,
-  m51, m52, m53, m54, m55
-);
-zero_impl!(Matrix5,
+matrix_impl!(Matrix5, 5, Vector5, DVector5,
   m11, m12, m13, m14, m15,
   m21, m22, m23, m24, m25,
   m31, m32, m33, m34, m35,
@@ -421,86 +202,30 @@ one_impl!(Matrix5,
   ::zero, ::zero, ::zero, ::one  , ::zero,
   ::zero, ::zero, ::zero, ::zero, ::one
 );
-add_impl!(Matrix5,
-  m11, m12, m13, m14, m15,
-  m21, m22, m23, m24, m25,
-  m31, m32, m33, m34, m35,
-  m41, m42, m43, m44, m45,
-  m51, m52, m53, m54, m55
-);
-sub_impl!(Matrix5,
-  m11, m12, m13, m14, m15,
-  m21, m22, m23, m24, m25,
-  m31, m32, m33, m34, m35,
-  m41, m42, m43, m44, m45,
-  m51, m52, m53, m54, m55
-);
-scalar_add_impl!(Matrix5,
-  m11, m12, m13, m14, m15,
-  m21, m22, m23, m24, m25,
-  m31, m32, m33, m34, m35,
-  m41, m42, m43, m44, m45,
-  m51, m52, m53, m54, m55
-);
-scalar_sub_impl!(Matrix5,
-  m11, m12, m13, m14, m15,
-  m21, m22, m23, m24, m25,
-  m31, m32, m33, m34, m35,
-  m41, m42, m43, m44, m45,
-  m51, m52, m53, m54, m55
-);
-scalar_mul_impl!(Matrix5,
-  m11, m12, m13, m14, m15,
-  m21, m22, m23, m24, m25,
-  m31, m32, m33, m34, m35,
-  m41, m42, m43, m44, m45,
-  m51, m52, m53, m54, m55
-);
-scalar_div_impl!(Matrix5,
-  m11, m12, m13, m14, m15,
-  m21, m22, m23, m24, m25,
-  m31, m32, m33, m34, m35,
-  m41, m42, m43, m44, m45,
-  m51, m52, m53, m54, m55
-);
-iterable_impl!(Matrix5, 5);
-iterable_mut_impl!(Matrix5, 5);
 dim_impl!(Matrix5, 5);
-indexable_impl!(Matrix5, 5);
-index_impl!(Matrix5, 5);
-at_fast_impl!(Matrix5, 5);
 mat_mul_mat_impl!(Matrix5, 5);
 mat_mul_vec_impl!(Matrix5, Vector5, 5, ::zero);
 vec_mul_mat_impl!(Matrix5, Vector5, 5, ::zero);
 mat_mul_point_impl!(Matrix5, Point5, 5, Origin::origin);
 point_mul_mat_impl!(Matrix5, Point5, 5, Origin::origin);
 inverse_impl!(Matrix5, 5);
-transpose_impl!(Matrix5, 5);
-approx_eq_impl!(Matrix5);
-row_impl!(Matrix5, Vector5, 5);
-column_impl!(Matrix5, Vector5, 5);
-column_slice_impl!(Matrix5, Vector5, DVector5, 5);
-row_slice_impl!(Matrix5, Vector5, DVector5, 5);
-diag_impl!(Matrix5, Vector5, 5);
 to_homogeneous_impl!(Matrix5, Matrix6, 5, 6);
 from_homogeneous_impl!(Matrix5, Matrix6, 5, 6);
-outer_impl!(Vector5, Matrix5);
 eigen_qr_impl!(Matrix5, Vector5);
-arbitrary_impl!(Matrix5,
+componentwise_arbitrary!(Matrix5,
   m11, m12, m13, m14, m15,
   m21, m22, m23, m24, m25,
   m31, m32, m33, m34, m35,
   m41, m42, m43, m44, m45,
   m51, m52, m53, m54, m55
 );
-rand_impl!(Matrix5,
+componentwise_rand!(Matrix5,
   m11, m12, m13, m14, m15,
   m21, m22, m23, m24, m25,
   m31, m32, m33, m34, m35,
   m41, m42, m43, m44, m45,
   m51, m52, m53, m54, m55
 );
-mean_impl!(Matrix5, Vector5, 5);
 mat_display_impl!(Matrix5, 5);
 
 /// Square matrix of dimension 6.
@@ -517,7 +242,7 @@ pub struct Matrix6<N> {
 
 eye_impl!(Matrix6, 6, m11, m22, m33, m44, m55, m66);
 
-mat_impl!(Matrix6,
+matrix_impl!(Matrix6, 6, Vector6, DVector6,
   m11, m12, m13, m14, m15, m16,
   m21, m22, m23, m24, m25, m26,
   m31, m32, m33, m34, m35, m36,
@@ -525,78 +250,6 @@ mat_impl!(Matrix6,
   m51, m52, m53, m54, m55, m56,
   m61, m62, m63, m64, m65, m66
 );
-repeat_impl!(Matrix6,
-  m11, m12, m13, m14, m15, m16,
-  m21, m22, m23, m24, m25, m26,
-  m31, m32, m33, m34, m35, m36,
-  m41, m42, m43, m44, m45, m46,
-  m51, m52, m53, m54, m55, m56,
-  m61, m62, m63, m64, m65, m66
-);
-conversion_impl!(Matrix6, 6);
-mat_cast_impl!(Matrix6,
-  m11, m12, m13, m14, m15, m16,
-  m21, m22, m23, m24, m25, m26,
-  m31, m32, m33, m34, m35, m36,
-  m41, m42, m43, m44, m45, m46,
-  m51, m52, m53, m54, m55, m56,
-  m61, m62, m63, m64, m65, m66
-);
-add_impl!(Matrix6,
-  m11, m12, m13, m14, m15, m16,
-  m21, m22, m23, m24, m25, m26,
-  m31, m32, m33, m34, m35, m36,
-  m41, m42, m43, m44, m45, m46,
-  m51, m52, m53, m54, m55, m56,
-  m61, m62, m63, m64, m65, m66
-);
-sub_impl!(Matrix6,
-  m11, m12, m13, m14, m15, m16,
-  m21, m22, m23, m24, m25, m26,
-  m31, m32, m33, m34, m35, m36,
-  m41, m42, m43, m44, m45, m46,
-  m51, m52, m53, m54, m55, m56,
-  m61, m62, m63, m64, m65, m66
-);
-scalar_add_impl!(Matrix6,
-  m11, m12, m13, m14, m15, m16,
-  m21, m22, m23, m24, m25, m26,
-  m31, m32, m33, m34, m35, m36,
-  m41, m42, m43, m44, m45, m46,
-  m51, m52, m53, m54, m55, m56,
-  m61, m62, m63, m64, m65, m66
-);
-scalar_sub_impl!(Matrix6,
-  m11, m12, m13, m14, m15, m16,
-  m21, m22, m23, m24, m25, m26,
-  m31, m32, m33, m34, m35, m36,
-  m41, m42, m43, m44, m45, m46,
-  m51, m52, m53, m54, m55, m56,
-  m61, m62, m63, m64, m65, m66
-);
-scalar_mul_impl!(Matrix6,
-  m11, m12, m13, m14, m15, m16,
-  m21, m22, m23, m24, m25, m26,
-  m31, m32, m33, m34, m35, m36,
-  m41, m42, m43, m44, m45, m46,
-  m51, m52, m53, m54, m55, m56,
-  m61, m62, m63, m64, m65, m66
-);
-scalar_div_impl!(Matrix6,
-  m11, m12, m13, m14, m15, m16,
-  m21, m22, m23, m24, m25, m26,
-  m31, m32, m33, m34, m35, m36,
-  m41, m42, m43, m44, m45, m46,
-  m51, m52, m53, m54, m55, m56,
-  m61, m62, m63, m64, m65, m66
-);
-absolute_impl!(Matrix6, m11, m12, m13, m14, m15, m16, m21, m22, m23, m24, m25, m26,
-  m31, m32, m33, m34, m35, m36, m41, m42, m43, m44, m45, m46, m51, m52, m53, m54, m55, m56,
-  m61, m62, m63, m64, m65, m66);
-
-zero_impl!(Matrix6, m11, m12, m13, m14, m15, m16, m21, m22, m23, m24, m25, m26,
-  m31, m32, m33, m34, m35, m36, m41, m42, m43, m44, m45, m46, m51, m52, m53, m54, m55, m56,
-  m61, m62, m63, m64, m65, m66);
 
 one_impl!(Matrix6,
   ::one  , ::zero, ::zero, ::zero, ::zero, ::zero,
@@ -606,28 +259,15 @@ one_impl!(Matrix6,
   ::zero, ::zero, ::zero, ::zero, ::one  , ::zero,
   ::zero, ::zero, ::zero, ::zero, ::zero, ::one
 );
-iterable_impl!(Matrix6, 6);
-iterable_mut_impl!(Matrix6, 6);
 dim_impl!(Matrix6, 6);
-indexable_impl!(Matrix6, 6);
-index_impl!(Matrix6, 6);
-at_fast_impl!(Matrix6, 6);
 mat_mul_mat_impl!(Matrix6, 6);
 mat_mul_vec_impl!(Matrix6, Vector6, 6, ::zero);
 vec_mul_mat_impl!(Matrix6, Vector6, 6, ::zero);
 mat_mul_point_impl!(Matrix6, Point6, 6, Origin::origin);
 point_mul_mat_impl!(Matrix6, Point6, 6, Origin::origin);
 inverse_impl!(Matrix6, 6);
-transpose_impl!(Matrix6, 6);
-approx_eq_impl!(Matrix6);
-row_impl!(Matrix6, Vector6, 6);
-column_impl!(Matrix6, Vector6, 6);
-column_slice_impl!(Matrix6, Vector6, DVector6, 6);
-row_slice_impl!(Matrix6, Vector6, DVector6, 6);
-diag_impl!(Matrix6, Vector6, 6);
-outer_impl!(Vector6, Matrix6);
 eigen_qr_impl!(Matrix6, Vector6);
-arbitrary_impl!(Matrix6,
+componentwise_arbitrary!(Matrix6,
   m11, m12, m13, m14, m15, m16,
   m21, m22, m23, m24, m25, m26,
   m31, m32, m33, m34, m35, m36,
@@ -635,7 +275,7 @@ arbitrary_impl!(Matrix6,
   m51, m52, m53, m54, m55, m56,
   m61, m62, m63, m64, m65, m66
 );
-rand_impl!(Matrix6,
+componentwise_rand!(Matrix6,
   m11, m12, m13, m14, m15, m16,
   m21, m22, m23, m24, m25, m26,
   m31, m32, m33, m34, m35, m36,
@@ -643,5 +283,4 @@ rand_impl!(Matrix6,
   m51, m52, m53, m54, m55, m56,
   m61, m62, m63, m64, m65, m66
 );
-mean_impl!(Matrix6, Vector6, 6);
 mat_display_impl!(Matrix6, 6);

src/structs/matrix_macros.rs

@@ -1,20 +1,22 @@
 #![macro_use]
 
-macro_rules! mat_impl(
-  ($t: ident, $($compN: ident),+) => (
-    impl<N> $t<N> {
-        #[inline]
-        pub fn new($($compN: N ),+) -> $t<N> {
-            $t {
-                $($compN: $compN ),+
+macro_rules! matrix_impl(
+    ($t: ident, $dimension: expr, $vector: ident, $dvector: ident, $($compN: ident),+) => (
+        impl<N> $t<N> {
+            #[inline]
+            pub fn new($($compN: N ),+) -> $t<N> {
+                $t {
+                    $($compN: $compN ),+
+                }
             }
         }
-    }
-  )
-);
 
-macro_rules! conversion_impl(
-    ($t: ident, $dimension: expr) => (
+
+        /*
+         *
+         * Conversions (AsRef, AsMut, From)
+         *
+         */
         impl<N> AsRef<[[N; $dimension]; $dimension]> for $t<N> {
             #[inline]
             fn as_ref(&self) -> &[[N; $dimension]; $dimension] {
@@ -58,11 +60,13 @@ macro_rules! conversion_impl(
                 tref.clone()
             }
         }
-    )
-);
 
-macro_rules! at_fast_impl(
-    ($t: ident, $dimension: expr) => (
+
+        /*
+         *
+         * Unsafe indexing.
+         *
+         */
         impl<N: Copy> $t<N> {
             #[inline]
             pub unsafe fn at_fast(&self, (i, j): (usize, usize)) -> N {
@@ -76,331 +80,77 @@ macro_rules! at_fast_impl(
                  .get_unchecked_mut(i + j * $dimension)) = val
             }
         }
-    )
-);
 
-macro_rules! mat_cast_impl(
-    ($t: ident, $($compN: ident),+) => (
+
+        /*
+         *
+         * Cast
+         *
+         */
         impl<Nin: Copy, Nout: Copy + Cast<Nin>> Cast<$t<Nin>> for $t<Nout> {
             #[inline]
             fn from(v: $t<Nin>) -> $t<Nout> {
                 $t::new($(Cast::from(v.$compN)),+)
             }
         }
-    )
-);
 
-macro_rules! add_impl(
-    ($t: ident, $($compN: ident),+) => (
-        impl<N: Add<N, Output = N>> Add<$t<N>> for $t<N> {
-            type Output = $t<N>;
 
+        /*
+         *
+         * Iterable
+         *
+         */
+        impl<N> Iterable<N> for $t<N> {
             #[inline]
-            fn add(self, right: $t<N>) -> $t<N> {
-                $t::new($(self.$compN + right.$compN),+)
-            }
-        }
-
-        impl<N: AddAssign<N>> AddAssign<$t<N>> for $t<N> {
-            #[inline]
-            fn add_assign(&mut self, right: $t<N>) {
-                $( self.$compN += right.$compN; )+
-            }
-        }
-    )
-);
-
-macro_rules! sub_impl(
-    ($t: ident, $($compN: ident),+) => (
-        impl<N: Sub<N, Output = N>> Sub<$t<N>> for $t<N> {
-            type Output = $t<N>;
-
-            #[inline]
-            fn sub(self, right: $t<N>) -> $t<N> {
-                $t::new($(self.$compN - right.$compN),+)
-            }
-        }
-
-
-        impl<N: SubAssign<N>> SubAssign<$t<N>> for $t<N> {
-            #[inline]
-            fn sub_assign(&mut self, right: $t<N>) {
-                $( self.$compN -= right.$compN; )+
-            }
-        }
-    )
-);
-
-macro_rules! mat_mul_scalar_impl(
-    ($t: ident, $($compN: ident),+) => (
-        impl<N: Mul<N, Output = N>> Mul<N> for N {
-            type Output = $t<N>;
-
-            #[inline]
-            fn mul(self, right: N) -> $t<N> {
-                $t::new($(self.$compN * *right),+)
-            }
-        }
-
-        impl<N: MulAssign<N>> MulAssign<N> for $t<N> {
-            #[inline]
-            fn mul_assign(&mut self, right: N) {
-                $( self.$compN *= *right; )+
-            }
-        }
-
-        impl Mul<$t<f32>> for f32 {
-            type Output = $t<f32>;
-
-            #[inline]
-            fn mul(self, right: $t<f32>) -> $t<f32> {
-                $t::new($(self * right.$compN),+)
-            }
-        }
-
-        impl Mul<$t<f64>> for f64 {
-            type Output = $t<f64>;
-
-            #[inline]
-            fn mul(self, right: $t<f64>) -> $t<f64> {
-                $t::new($(self * right.$compN),+)
-            }
-        }
-    )
-);
-
-macro_rules! mat_div_scalar_impl(
-    ($t: ident, $($compN: ident),+) => (
-        impl<N: Div<N, Output = N>> Div<N> for $t<N> {
-            type Output = $t<N>;
-
-            #[inline]
-            fn div(self, right: N) -> $t<N> {
-                $t::new($(self.$compN / *right),+)
-            }
-        }
-
-        impl<N: DivAssign<N>> DivAssign<N> for $t<N> {
-            #[inline]
-            fn div_assign(&mut self, right: N) {
-                $( self.$compN /= *right; )+
-            }
-        }
-    )
-);
-
-macro_rules! mat_add_scalar_impl(
-    ($t: ident, $($compN: ident),+) => (
-        impl<N: Add<N, Output = N>> Add<N> for $t<N> {
-            type Output = $t<N>;
-
-            #[inline]
-            fn add(self, right: N) -> $t<N> {
-                $t::new($(self.$compN + *right),+)
-            }
-        }
-
-        impl<N: AddAssign<N>> AddAssign<N> for $t<N> {
-            #[inline]
-            fn add_assign(&mut self, right: N) {
-                $( self.$compN += *right; )+
-            }
-        }
-
-        impl Add<$t<f32>> for f32 {
-            type Output = $t<f32>;
-
-            #[inline]
-            fn add(self, right: $t<f32>) -> $t<f32> {
-                $t::new($(self + right.$compN),+)
-            }
-        }
-
-        impl Add<$t<f64>> for f64 {
-            type Output = $t<f64>;
-
-            #[inline]
-            fn add(self, right: $t<f64>) -> $t<f64> {
-                $t::new($(self + right.$compN),+)
-            }
-        }
-    )
-);
-
-macro_rules! mat_sub_scalar_impl(
-    ($t: ident, $($compN: ident),+) => (
-        impl<N: Sub<N, Output = N>> Sub<N> for $t<N> {
-            type Output = $t<N>;
-
-            #[inline]
-            fn sub(self, right: &N) -> $t<N> {
-                $t::new($(self.$compN - *right),+)
-            }
-        }
-
-        impl<N: SubAssign<N>> SubAssign<N> for $t<N> {
-            #[inline]
-            fn sub_assign(&mut self, right: N) {
-                $( self.$compN -= *right; )+
-            }
-        }
-
-        impl Sub<f32> for $t<f32> {
-            type Output = $t<f32>;
-
-            #[inline]
-            fn sub(self, right: $t<f32>) -> $t<f32> {
-                $t::new($(self - right.$compN),+)
-            }
-        }
-
-        impl Sub<f64> for $t<f64> {
-            type Output = $t<f64>;
-
-            #[inline]
-            fn sub(self, right: $t<f64>) -> $t<f64> {
-                $t::new($(self - right.$compN),+)
-            }
-        }
-    )
-);
-
-
-macro_rules! eye_impl(
-    ($t: ident, $dimension: expr, $($comp_diagN: ident),+) => (
-        impl<N: Zero + One> Eye for $t<N> {
-            fn new_identity(dimension: usize) -> $t<N> {
-                assert!(dimension == $dimension);
-                let mut eye: $t<N> = ::zero();
-                $(eye.$comp_diagN = ::one();)+
-                eye
-            }
-        }
-    )
-);
-
-macro_rules! repeat_impl(
-    ($t: ident, $($compN: ident),+) => (
-        impl<N: Copy> Repeat<N> for $t<N> {
-            fn repeat(val: N) -> $t<N> {
-                $t {
-                    $($compN: val ),+
+            fn iter(&self) -> Iter<N> {
+                unsafe {
+                    mem::transmute::<&$t<N>, &[N; $dimension * $dimension]>(self).iter()
                 }
             }
         }
-    )
-);
 
-macro_rules! absolute_impl(
-  ($t: ident, $($compN: ident),+) => (
-    impl<N: Absolute<N>> Absolute<$t<N>> for $t<N> {
-        #[inline]
-        fn abs(m: &$t<N>) -> $t<N> {
-            $t::new($(::abs(&m.$compN) ),+)
-        }
-    }
-  )
-);
-
-macro_rules! iterable_impl(
-  ($t: ident, $dimension: expr) => (
-    impl<N> Iterable<N> for $t<N> {
-        #[inline]
-        fn iter(&self) -> Iter<N> {
-            unsafe {
-                mem::transmute::<&$t<N>, &[N; $dimension * $dimension]>(self).iter()
-            }
-        }
-    }
-  )
-);
-
-macro_rules! iterable_mut_impl(
-  ($t: ident, $dimension: expr) => (
-    impl<N> IterableMut<N> for $t<N> {
-        #[inline]
-        fn iter_mut(& mut self) -> IterMut<N> {
-            unsafe {
-                mem::transmute::<&mut $t<N>, &mut [N; $dimension * $dimension]>(self).iter_mut()
-            }
-        }
-    }
-  )
-);
-
-macro_rules! one_impl(
-  ($t: ident, $($valueN: expr),+ ) => (
-    impl<N: Copy + BaseNum> One for $t<N> {
-        #[inline]
-        fn one() -> $t<N> {
-            $t::new($($valueN() ),+)
-        }
-    }
-  )
-);
-
-macro_rules! zero_impl(
-  ($t: ident, $($compN: ident),+ ) => (
-    impl<N: Zero> Zero for $t<N> {
-        #[inline]
-        fn zero() -> $t<N> {
-            $t {
-                $($compN: ::zero() ),+
+        impl<N> IterableMut<N> for $t<N> {
+            #[inline]
+            fn iter_mut(& mut self) -> IterMut<N> {
+                unsafe {
+                    mem::transmute::<&mut $t<N>, &mut [N; $dimension * $dimension]>(self).iter_mut()
+                }
             }
         }
 
-        #[inline]
-        fn is_zero(&self) -> bool {
-            $(::is_zero(&self.$compN) )&&+
-        }
-    }
-  )
-);
 
-macro_rules! dim_impl(
-  ($t: ident, $dimension: expr) => (
-    impl<N> Dimension for $t<N> {
-        #[inline]
-        fn dimension(_: Option<$t<N>>) -> usize {
-            $dimension
-        }
-    }
-  )
-);
-
-macro_rules! indexable_impl(
-  ($t: ident, $dimension: expr) => (
-    impl<N> Shape<(usize, usize)> for $t<N> {
-        #[inline]
-        fn shape(&self) -> (usize, usize) {
-            ($dimension, $dimension)
-        }
-    }
-
-    impl<N: Copy> Indexable<(usize, usize), N> for $t<N> {
-        #[inline]
-        fn swap(&mut self, (i1, j1): (usize, usize), (i2, j2): (usize, usize)) {
-            unsafe {
-              mem::transmute::<&mut $t<N>, &mut [N; $dimension * $dimension]>(self)
-                .swap(i1 + j1 * $dimension, i2 + j2 * $dimension)
+        /*
+         *
+         * Shape/Indexable/Index
+         *
+         */
+        impl<N> Shape<(usize, usize)> for $t<N> {
+            #[inline]
+            fn shape(&self) -> (usize, usize) {
+                ($dimension, $dimension)
             }
         }
 
-        #[inline]
-        unsafe fn unsafe_at(&self, (i, j): (usize, usize)) -> N {
-            (*mem::transmute::<&$t<N>, &[N; $dimension * $dimension]>(self).get_unchecked(i + j * $dimension))
+        impl<N: Copy> Indexable<(usize, usize), N> for $t<N> {
+            #[inline]
+            fn swap(&mut self, (i1, j1): (usize, usize), (i2, j2): (usize, usize)) {
+                unsafe {
+                  mem::transmute::<&mut $t<N>, &mut [N; $dimension * $dimension]>(self)
+                    .swap(i1 + j1 * $dimension, i2 + j2 * $dimension)
+                }
+            }
+
+            #[inline]
+            unsafe fn unsafe_at(&self, (i, j): (usize, usize)) -> N {
+                (*mem::transmute::<&$t<N>, &[N; $dimension * $dimension]>(self).get_unchecked(i + j * $dimension))
+            }
+
+            #[inline]
+            unsafe fn unsafe_set(&mut self, (i, j): (usize, usize), val: N) {
+                (*mem::transmute::<&mut $t<N>, &mut [N; $dimension * $dimension]>(self).get_unchecked_mut(i + j * $dimension)) = val
+            }
         }
 
-        #[inline]
-        unsafe fn unsafe_set(&mut self, (i, j): (usize, usize), val: N) {
-            (*mem::transmute::<&mut $t<N>, &mut [N; $dimension * $dimension]>(self).get_unchecked_mut(i + j * $dimension)) = val
-        }
-    }
-  )
-);
-
-macro_rules! index_impl(
-    ($t: ident, $dimension: expr) => (
         impl<N> Index<(usize, usize)> for $t<N> {
             type Output = N;
 
@@ -418,96 +168,167 @@ macro_rules! index_impl(
                 }
             }
         }
-    )
-);
 
-macro_rules! column_slice_impl(
-    ($t: ident, $tv: ident, $slice: ident, $dimension: expr) => (
-        impl<N: Clone + Copy + Zero> ColumnSlice<$slice<N>> for $t<N> {
-            fn column_slice(&self, cid: usize, rstart: usize, rend: usize) -> $slice<N> {
+
+        /*
+         *
+         * Row/Column
+         *
+         */
+        impl<N: Copy + Zero> Column<$vector<N>> for $t<N> {
+            #[inline]
+            fn ncols(&self) -> usize {
+                Dimension::dimension(None::<$t<N>>)
+            }
+
+            #[inline]
+            fn set_column(&mut self, column: usize, v: $vector<N>) {
+                for (i, e) in v.iter().enumerate() {
+                    self[(i, column)] = *e;
+                }
+            }
+
+            #[inline]
+            fn column(&self, column: usize) -> $vector<N> {
+                let mut res: $vector<N> = ::zero();
+
+                for (i, e) in res.iter_mut().enumerate() {
+                    *e = self[(i, column)];
+                }
+
+                res
+            }
+        }
+
+        impl<N: Clone + Copy + Zero> ColumnSlice<$dvector<N>> for $t<N> {
+            fn column_slice(&self, cid: usize, rstart: usize, rend: usize) -> $dvector<N> {
                 let column = self.column(cid);
 
-                $slice::from_slice(rend - rstart, &column.as_ref()[rstart .. rend])
-            }
-        }
-    )
-);
-
-macro_rules! row_impl(
-  ($t: ident, $tv: ident, $dimension: expr) => (
-    impl<N: Copy + Zero> Row<$tv<N>> for $t<N> {
-        #[inline]
-        fn nrows(&self) -> usize {
-            Dimension::dimension(None::<$t<N>>)
-        }
-
-        #[inline]
-        fn set_row(&mut self, row: usize, v: $tv<N>) {
-            for (i, e) in v.iter().enumerate() {
-                self[(row, i)] = *e;
+                $dvector::from_slice(rend - rstart, &column.as_ref()[rstart .. rend])
             }
         }
 
-        #[inline]
-        fn row(&self, row: usize) -> $tv<N> {
-            let mut res: $tv<N> = ::zero();
-
-            for (i, e) in res.iter_mut().enumerate() {
-                *e = self[(row, i)];
+        impl<N: Copy + Zero> Row<$vector<N>> for $t<N> {
+            #[inline]
+            fn nrows(&self) -> usize {
+                Dimension::dimension(None::<$t<N>>)
             }
 
-            res
-        }
-    }
-  )
-);
+            #[inline]
+            fn set_row(&mut self, row: usize, v: $vector<N>) {
+                for (i, e) in v.iter().enumerate() {
+                    self[(row, i)] = *e;
+                }
+            }
 
-macro_rules! row_slice_impl(
-    ($t: ident, $tv: ident, $slice: ident, $dimension: expr) => (
-        impl<N: Clone + Copy + Zero> RowSlice<$slice<N>> for $t<N> {
-            fn row_slice(&self, rid: usize, cstart: usize, cend: usize) -> $slice<N> {
+            #[inline]
+            fn row(&self, row: usize) -> $vector<N> {
+                let mut res: $vector<N> = ::zero();
+
+                for (i, e) in res.iter_mut().enumerate() {
+                    *e = self[(row, i)];
+                }
+
+                res
+            }
+        }
+
+        impl<N: Clone + Copy + Zero> RowSlice<$dvector<N>> for $t<N> {
+            fn row_slice(&self, rid: usize, cstart: usize, cend: usize) -> $dvector<N> {
                 let row = self.row(rid);
 
-                $slice::from_slice(cend - cstart, &row.as_ref()[cstart .. cend])
-            }
-        }
-    )
-);
-
-macro_rules! column_impl(
-  ($t: ident, $tv: ident, $dimension: expr) => (
-    impl<N: Copy + Zero> Column<$tv<N>> for $t<N> {
-        #[inline]
-        fn ncols(&self) -> usize {
-            Dimension::dimension(None::<$t<N>>)
-        }
-
-        #[inline]
-        fn set_column(&mut self, column: usize, v: $tv<N>) {
-            for (i, e) in v.iter().enumerate() {
-                self[(i, column)] = *e;
+                $dvector::from_slice(cend - cstart, &row.as_ref()[cstart .. cend])
             }
         }
 
-        #[inline]
-        fn column(&self, column: usize) -> $tv<N> {
-            let mut res: $tv<N> = ::zero();
 
-            for (i, e) in res.iter_mut().enumerate() {
-                *e = self[(i, column)];
-            }
-
-            res
-        }
-    }
-  )
-);
-
-macro_rules! diag_impl(
-    ($t: ident, $tv: ident, $dimension: expr) => (
-        impl<N: Copy + Zero> Diagonal<$tv<N>> for $t<N> {
+        /*
+         *
+         * Transpose
+         *
+         */
+        impl<N: Copy> Transpose for $t<N> {
             #[inline]
-            fn from_diagonal(diagonal: &$tv<N>) -> $t<N> {
+            fn transpose(&self) -> $t<N> {
+                let mut res = *self;
+
+                res.transpose_mut();
+                res
+            }
+
+            #[inline]
+            fn transpose_mut(&mut self) {
+                for i in 1 .. $dimension {
+                    for j in 0 .. i {
+                        self.swap((i, j), (j, i))
+                    }
+                }
+            }
+        }
+
+
+        /*
+         *
+         * ApproxEq
+         *
+         */
+        impl<N: ApproxEq<N>> ApproxEq<N> for $t<N> {
+            #[inline]
+            fn approx_epsilon(_: Option<$t<N>>) -> N {
+                ApproxEq::approx_epsilon(None::<N>)
+            }
+
+            #[inline]
+            fn approx_ulps(_: Option<$t<N>>) -> u32 {
+                ApproxEq::approx_ulps(None::<N>)
+            }
+
+            #[inline]
+            fn approx_eq_eps(&self, other: &$t<N>, epsilon: &N) -> bool {
+                let mut zip = self.iter().zip(other.iter());
+                zip.all(|(a, b)| ApproxEq::approx_eq_eps(a, b, epsilon))
+            }
+
+            #[inline]
+            fn approx_eq_ulps(&self, other: &$t<N>, ulps: u32) -> bool {
+                let mut zip = self.iter().zip(other.iter());
+                zip.all(|(a, b)| ApproxEq::approx_eq_ulps(a, b, ulps))
+            }
+        }
+
+
+        /*
+         *
+         * Mean
+         *
+         */
+        impl<N: BaseNum + Cast<f64> + Clone> Mean<$vector<N>> for $t<N> {
+            fn mean(&self) -> $vector<N> {
+                let mut res: $vector<N> = ::zero();
+                let normalizer: N  = Cast::from(1.0f64 / $dimension as f64);
+        
+                for i in 0 .. $dimension {
+                    for j in 0 .. $dimension {
+                        unsafe {
+                            let acc = res.unsafe_at(j) + self.unsafe_at((i, j)) * normalizer;
+                            res.unsafe_set(j, acc);
+                        }
+                    }
+                }
+        
+                res
+            }
+        }
+
+
+        /*
+         *
+         * Diagonal
+         *
+         */
+        impl<N: Copy + Zero> Diagonal<$vector<N>> for $t<N> {
+            #[inline]
+            fn from_diagonal(diagonal: &$vector<N>) -> $t<N> {
                 let mut res: $t<N> = ::zero();
 
                 res.set_diagonal(diagonal);
@@ -516,8 +337,8 @@ macro_rules! diag_impl(
             }
 
             #[inline]
-            fn diagonal(&self) -> $tv<N> {
-                let mut diagonal: $tv<N> = ::zero();
+            fn diagonal(&self) -> $vector<N> {
+                let mut diagonal: $vector<N> = ::zero();
 
                 for i in 0 .. $dimension {
                     unsafe { diagonal.unsafe_set(i, self.unsafe_at((i, i))) }
@@ -527,17 +348,61 @@ macro_rules! diag_impl(
             }
         }
 
-        impl<N: Copy + Zero> DiagMut<$tv<N>> for $t<N> {
+        impl<N: Copy + Zero> DiagonalMut<$vector<N>> for $t<N> {
             #[inline]
-            fn set_diagonal(&mut self, diagonal: &$tv<N>) {
+            fn set_diagonal(&mut self, diagonal: &$vector<N>) {
                 for i in 0 .. $dimension {
                     unsafe { self.unsafe_set((i, i), diagonal.unsafe_at(i)) }
                 }
             }
         }
+
+
+        /*
+         *
+         * Outer
+         *
+         */
+        impl<N: Copy + Mul<N, Output = N> + Zero> Outer for $vector<N> {
+            type OuterProductType = $t<N>;
+
+            #[inline]
+            fn outer(&self, other: &$vector<N>) -> $t<N> {
+                let mut res: $t<N> = ::zero();
+
+                for i in 0 .. ::dimension::<$vector<N>>() {
+                    for j in 0 .. ::dimension::<$vector<N>>() {
+                        res[(i, j)] = self[i] * other[j]
+                    }
+                }
+                res
+            }
+        }
+
+        /*
+         *
+         * Componentwise unary operations.
+         *
+         */
+        componentwise_repeat!($t, $($compN),+);
+        componentwise_absolute!($t, $($compN),+);
+        componentwise_zero!($t, $($compN),+);
+
+        /*
+         *
+         * Pointwise binary operations.
+         *
+         */
+        pointwise_add!($t, $($compN),+);
+        pointwise_sub!($t, $($compN),+);
+        pointwise_scalar_add!($t, $($compN),+);
+        pointwise_scalar_sub!($t, $($compN),+);
+        pointwise_scalar_div!($t, $($compN),+);
+        pointwise_scalar_mul!($t, $($compN),+);
     )
 );
 
+
 macro_rules! mat_mul_mat_impl(
   ($t: ident, $dimension: expr) => (
     impl<N: Copy + BaseNum> Mul<$t<N>> for $t<N> {
@@ -727,56 +592,6 @@ macro_rules! inverse_impl(
   )
 );
 
-macro_rules! transpose_impl(
-  ($t: ident, $dimension: expr) => (
-    impl<N: Copy> Transpose for $t<N> {
-        #[inline]
-        fn transpose(&self) -> $t<N> {
-            let mut res = *self;
-
-            res.transpose_mut();
-            res
-        }
-
-        #[inline]
-        fn transpose_mut(&mut self) {
-            for i in 1 .. $dimension {
-                for j in 0 .. i {
-                    self.swap((i, j), (j, i))
-                }
-            }
-        }
-    }
-  )
-);
-
-macro_rules! approx_eq_impl(
-  ($t: ident) => (
-    impl<N: ApproxEq<N>> ApproxEq<N> for $t<N> {
-        #[inline]
-        fn approx_epsilon(_: Option<$t<N>>) -> N {
-            ApproxEq::approx_epsilon(None::<N>)
-        }
-
-        #[inline]
-        fn approx_ulps(_: Option<$t<N>>) -> u32 {
-            ApproxEq::approx_ulps(None::<N>)
-        }
-
-        #[inline]
-        fn approx_eq_eps(&self, other: &$t<N>, epsilon: &N) -> bool {
-            let mut zip = self.iter().zip(other.iter());
-            zip.all(|(a, b)| ApproxEq::approx_eq_eps(a, b, epsilon))
-        }
-
-        #[inline]
-        fn approx_eq_ulps(&self, other: &$t<N>, ulps: u32) -> bool {
-            let mut zip = self.iter().zip(other.iter());
-            zip.all(|(a, b)| ApproxEq::approx_eq_ulps(a, b, ulps))
-        }
-    }
-  )
-);
 
 macro_rules! to_homogeneous_impl(
   ($t: ident, $t2: ident, $dimension: expr, $dim2: expr) => (
@@ -785,8 +600,8 @@ macro_rules! to_homogeneous_impl(
         fn to_homogeneous(&self) -> $t2<N> {
             let mut res: $t2<N> = ::one();
 
-            for i in 0..$dimension {
-                for j in 0..$dimension {
+            for i in 0 .. $dimension {
+                for j in 0 .. $dimension {
                     res[(i, j)] = self[(i, j)]
                 }
             }
@@ -804,8 +619,8 @@ macro_rules! from_homogeneous_impl(
         fn from(m: &$t2<N>) -> $t<N> {
             let mut res: $t<N> = ::one();
 
-            for i in 0..$dimension {
-                for j in 0..$dimension {
+            for i in 0 .. $dimension {
+                for j in 0 .. $dimension {
                     res[(i, j)] = m[(i, j)]
                 }
             }
@@ -819,25 +634,6 @@ macro_rules! from_homogeneous_impl(
   )
 );
 
-macro_rules! outer_impl(
-    ($t: ident, $m: ident) => (
-        impl<N: Copy + Mul<N, Output = N> + Zero> Outer for $t<N> {
-            type OuterProductType = $m<N>;
-
-            #[inline]
-            fn outer(&self, other: &$t<N>) -> $m<N> {
-                let mut res: $m<N> = ::zero();
-
-                for i in 0 .. ::dimension::<$t<N>>() {
-                    for j in 0 .. ::dimension::<$t<N>>() {
-                        res[(i, j)] = self[i] * other[j]
-                    }
-                }
-                res
-            }
-        }
-    )
-);
 
 macro_rules! eigen_qr_impl(
     ($t: ident, $v: ident) => (
@@ -851,27 +647,6 @@ macro_rules! eigen_qr_impl(
 );
 
 
-macro_rules! mean_impl(
-    ($t: ident, $v: ident, $dimension: expr) => (
-        impl<N: BaseNum + Cast<f64> + Clone> Mean<$v<N>> for $t<N> {
-            fn mean(&self) -> $v<N> {
-                let mut res: $v<N> = ::zero();
-                let normalizer: N  = Cast::from(1.0f64 / $dimension as f64);
-        
-                for i in 0 .. $dimension {
-                    for j in 0 .. $dimension {
-                        unsafe {
-                            let acc = res.unsafe_at(j) + self.unsafe_at((i, j)) * normalizer;
-                            res.unsafe_set(j, acc);
-                        }
-                    }
-                }
-        
-                res
-            }
-        }
-    )
-);
 
 macro_rules! mat_display_impl(
     ($t: ident, $dimension: expr) => (
@@ -925,3 +700,39 @@ macro_rules! mat_display_impl(
         }
     )
 );
+
+macro_rules! one_impl(
+  ($t: ident, $($valueN: expr),+ ) => (
+    impl<N: Copy + BaseNum> One for $t<N> {
+        #[inline]
+        fn one() -> $t<N> {
+            $t::new($($valueN() ),+)
+        }
+    }
+  )
+);
+
+macro_rules! eye_impl(
+    ($t: ident, $dimension: expr, $($comp_diagN: ident),+) => (
+        impl<N: Zero + One> Eye for $t<N> {
+            fn new_identity(dimension: usize) -> $t<N> {
+                assert!(dimension == $dimension);
+                let mut eye: $t<N> = ::zero();
+                $(eye.$comp_diagN = ::one();)+
+                eye
+            }
+        }
+    )
+);
+
+
+macro_rules! dim_impl(
+  ($t: ident, $dimension: expr) => (
+    impl<N> Dimension for $t<N> {
+        #[inline]
+        fn dimension(_: Option<$t<N>>) -> usize {
+            $dimension
+        }
+    }
+  )
+);

src/structs/mod.rs

@@ -15,6 +15,7 @@ pub use self::quaternion::{Quaternion, UnitQuaternion};
 #[cfg(feature="generic_sizes")]
 pub use self::vectorn::VectorN;
 
+mod common_macros;
 mod dmatrix_macros;
 mod dmatrix;
 mod vectorn_macros;

src/structs/point.rs

@@ -27,38 +27,9 @@ pub struct Point1<N> {
     pub x: N
 }
 
-new_impl!(Point1, x);
-origin_impl!(Point1, x);
-pord_impl!(Point1, x,);
-scalar_mul_impl!(Point1, x);
-scalar_div_impl!(Point1, x);
-scalar_add_impl!(Point1, x);
-scalar_sub_impl!(Point1, x);
-vec_cast_impl!(Point1, x);
-conversion_impl!(Point1, 1);
-index_impl!(Point1);
-indexable_impl!(Point1, 1);
-at_fast_impl!(Point1, 1);
-repeat_impl!(Point1, val, x);
-dim_impl!(Point1, 1);
-container_impl!(Point1);
-point_as_vec_impl!(Point1, Vector1, x);
-point_sub_impl!(Point1, Vector1);
-neg_impl!(Point1, x);
-point_add_vec_impl!(Point1, Vector1, x);
-point_sub_vec_impl!(Point1, Vector1, x);
-approx_eq_impl!(Point1, x);
+point_impl!(Point1, Vector1, Point2, y | x);
+vectorlike_impl!(Point1, 1, x);
 from_iterator_impl!(Point1, iterator);
-bounded_impl!(Point1, x);
-axpy_impl!(Point1, x);
-iterable_impl!(Point1, 1);
-iterable_mut_impl!(Point1, 1);
-point_to_homogeneous_impl!(Point1, Point2, y, x);
-point_from_homogeneous_impl!(Point1, Point2, y, x);
-num_float_point_impl!(Point1, Vector1);
-arbitrary_point_impl!(Point1, x);
-rand_impl!(Point1, x);
-point_display_impl!(Point1);
 
 /// Point of dimension 2.
 ///
@@ -73,38 +44,9 @@ pub struct Point2<N> {
     pub y: N
 }
 
-new_impl!(Point2, x, y);
-origin_impl!(Point2, x, y);
-pord_impl!(Point2, x, y);
-scalar_mul_impl!(Point2, x, y);
-scalar_div_impl!(Point2, x, y);
-scalar_add_impl!(Point2, x, y);
-scalar_sub_impl!(Point2, x, y);
-vec_cast_impl!(Point2, x, y);
-conversion_impl!(Point2, 2);
-index_impl!(Point2);
-indexable_impl!(Point2, 2);
-at_fast_impl!(Point2, 2);
-repeat_impl!(Point2, val, x, y);
-dim_impl!(Point2, 2);
-container_impl!(Point2);
-point_as_vec_impl!(Point2, Vector2, x, y);
-point_sub_impl!(Point2, Vector2);
-neg_impl!(Point2, x, y);
-point_add_vec_impl!(Point2, Vector2, x, y);
-point_sub_vec_impl!(Point2, Vector2, x, y);
-approx_eq_impl!(Point2, x, y);
+point_impl!(Point2, Vector2, Point3, z | x, y);
+vectorlike_impl!(Point2, 2, x, y);
 from_iterator_impl!(Point2, iterator, iterator);
-bounded_impl!(Point2, x, y);
-axpy_impl!(Point2, x, y);
-iterable_impl!(Point2, 2);
-iterable_mut_impl!(Point2, 2);
-point_to_homogeneous_impl!(Point2, Point3, z, x, y);
-point_from_homogeneous_impl!(Point2, Point3, z, x, y);
-num_float_point_impl!(Point2, Vector2);
-arbitrary_point_impl!(Point2, x, y);
-rand_impl!(Point2, x, y);
-point_display_impl!(Point2);
 
 /// Point of dimension 3.
 ///
@@ -121,38 +63,9 @@ pub struct Point3<N> {
     pub z: N
 }
 
-new_impl!(Point3, x, y, z);
-origin_impl!(Point3, x, y, z);
-pord_impl!(Point3, x, y, z);
-scalar_mul_impl!(Point3, x, y, z);
-scalar_div_impl!(Point3, x, y, z);
-scalar_add_impl!(Point3, x, y, z);
-scalar_sub_impl!(Point3, x, y, z);
-vec_cast_impl!(Point3, x, y, z);
-conversion_impl!(Point3, 3);
-index_impl!(Point3);
-indexable_impl!(Point3, 3);
-at_fast_impl!(Point3, 3);
-repeat_impl!(Point3, val, x, y, z);
-dim_impl!(Point3, 3);
-container_impl!(Point3);
-point_as_vec_impl!(Point3, Vector3, x, y, z);
-point_sub_impl!(Point3, Vector3);
-neg_impl!(Point3, x, y, z);
-point_add_vec_impl!(Point3, Vector3, x, y, z);
-point_sub_vec_impl!(Point3, Vector3, x, y, z);
-approx_eq_impl!(Point3, x, y, z);
+point_impl!(Point3, Vector3, Point4, w | x, y, z);
+vectorlike_impl!(Point3, 3, x, y, z);
 from_iterator_impl!(Point3, iterator, iterator, iterator);
-bounded_impl!(Point3, x, y, z);
-axpy_impl!(Point3, x, y, z);
-iterable_impl!(Point3, 3);
-iterable_mut_impl!(Point3, 3);
-point_to_homogeneous_impl!(Point3, Point4, w, x, y, z);
-point_from_homogeneous_impl!(Point3, Point4, w, x, y, z);
-num_float_point_impl!(Point3, Vector3);
-arbitrary_point_impl!(Point3, x, y, z);
-rand_impl!(Point3, x, y, z);
-point_display_impl!(Point3);
 
 /// Point of dimension 4.
 ///
@@ -171,38 +84,9 @@ pub struct Point4<N> {
     pub w: N
 }
 
-new_impl!(Point4, x, y, z, w);
-origin_impl!(Point4, x, y, z, w);
-pord_impl!(Point4, x, y, z, w);
-scalar_mul_impl!(Point4, x, y, z, w);
-scalar_div_impl!(Point4, x, y, z, w);
-scalar_add_impl!(Point4, x, y, z, w);
-scalar_sub_impl!(Point4, x, y, z, w);
-vec_cast_impl!(Point4, x, y, z, w);
-conversion_impl!(Point4, 4);
-index_impl!(Point4);
-indexable_impl!(Point4, 4);
-at_fast_impl!(Point4, 4);
-repeat_impl!(Point4, val, x, y, z, w);
-dim_impl!(Point4, 4);
-container_impl!(Point4);
-point_as_vec_impl!(Point4, Vector4, x, y, z, w);
-point_sub_impl!(Point4, Vector4);
-neg_impl!(Point4, x, y, z, w);
-point_add_vec_impl!(Point4, Vector4, x, y, z, w);
-point_sub_vec_impl!(Point4, Vector4, x, y, z, w);
-approx_eq_impl!(Point4, x, y, z, w);
+point_impl!(Point4, Vector4, Point5, a | x, y, z, w);
+vectorlike_impl!(Point4, 4, x, y, z, w);
 from_iterator_impl!(Point4, iterator, iterator, iterator, iterator);
-bounded_impl!(Point4, x, y, z, w);
-axpy_impl!(Point4, x, y, z, w);
-iterable_impl!(Point4, 4);
-iterable_mut_impl!(Point4, 4);
-point_to_homogeneous_impl!(Point4, Point5, a, x, y, z, w);
-point_from_homogeneous_impl!(Point4, Point5, a, x, y, z, w);
-num_float_point_impl!(Point4, Vector4);
-arbitrary_point_impl!(Point4, x, y, z, w);
-rand_impl!(Point4, x, y, z, w);
-point_display_impl!(Point4);
 
 /// Point of dimension 5.
 ///
@@ -223,38 +107,9 @@ pub struct Point5<N> {
     pub a: N
 }
 
-new_impl!(Point5, x, y, z, w, a);
-origin_impl!(Point5, x, y, z, w, a);
-pord_impl!(Point5, x, y, z, w, a);
-scalar_mul_impl!(Point5, x, y, z, w, a);
-scalar_div_impl!(Point5, x, y, z, w, a);
-scalar_add_impl!(Point5, x, y, z, w, a);
-scalar_sub_impl!(Point5, x, y, z, w, a);
-vec_cast_impl!(Point5, x, y, z, w, a);
-conversion_impl!(Point5, 5);
-index_impl!(Point5);
-indexable_impl!(Point5, 5);
-at_fast_impl!(Point5, 5);
-repeat_impl!(Point5, val, x, y, z, w, a);
-dim_impl!(Point5, 5);
-container_impl!(Point5);
-point_as_vec_impl!(Point5, Vector5, x, y, z, w, a);
-point_sub_impl!(Point5, Vector5);
-neg_impl!(Point5, x, y, z, w, a);
-point_add_vec_impl!(Point5, Vector5, x, y, z, w, a);
-point_sub_vec_impl!(Point5, Vector5, x, y, z, w, a);
-approx_eq_impl!(Point5, x, y, z, w, a);
+point_impl!(Point5, Vector5, Point6, b | x, y, z, w, a);
+vectorlike_impl!(Point5, 5, x, y, z, w, a);
 from_iterator_impl!(Point5, iterator, iterator, iterator, iterator, iterator);
-bounded_impl!(Point5, x, y, z, w, a);
-axpy_impl!(Point5, x, y, z, w, a);
-iterable_impl!(Point5, 5);
-iterable_mut_impl!(Point5, 5);
-point_to_homogeneous_impl!(Point5, Point6, b, x, y, z, w, a);
-point_from_homogeneous_impl!(Point5, Point6, b, x, y, z, w, a);
-num_float_point_impl!(Point5, Vector5);
-arbitrary_point_impl!(Point5, x, y, z, w, a);
-rand_impl!(Point5, x, y, z, w, a);
-point_display_impl!(Point5);
 
 /// Point of dimension 6.
 ///
@@ -277,33 +132,6 @@ pub struct Point6<N> {
     pub b: N
 }
 
-new_impl!(Point6, x, y, z, w, a, b);
-origin_impl!(Point6, x, y, z, w, a, b);
-pord_impl!(Point6, x, y, z, w, a, b);
-scalar_mul_impl!(Point6, x, y, z, w, a, b);
-scalar_div_impl!(Point6, x, y, z, w, a, b);
-scalar_add_impl!(Point6, x, y, z, w, a, b);
-scalar_sub_impl!(Point6, x, y, z, w, a, b);
-vec_cast_impl!(Point6, x, y, z, w, a, b);
-conversion_impl!(Point6, 6);
-index_impl!(Point6);
-indexable_impl!(Point6, 6);
-at_fast_impl!(Point6, 6);
-repeat_impl!(Point6, val, x, y, z, w, a, b);
-dim_impl!(Point6, 6);
-container_impl!(Point6);
-point_as_vec_impl!(Point6, Vector6, x, y, z, w, a, b);
-point_sub_impl!(Point6, Vector6);
-neg_impl!(Point6, x, y, z, w, a, b);
-point_add_vec_impl!(Point6, Vector6, x, y, z, w, a, b);
-point_sub_vec_impl!(Point6, Vector6, x, y, z, w, a, b);
-approx_eq_impl!(Point6, x, y, z, w, a, b);
+point_impl!(Point6, Vector6 | x, y, z, w, a, b);
+vectorlike_impl!(Point6, 6, x, y, z, w, a, b);
 from_iterator_impl!(Point6, iterator, iterator, iterator, iterator, iterator, iterator);
-bounded_impl!(Point6, x, y, z, w, a, b);
-axpy_impl!(Point6, x, y, z, w, a, b);
-iterable_impl!(Point6, 6);
-iterable_mut_impl!(Point6, 6);
-num_float_point_impl!(Point6, Vector6);
-arbitrary_point_impl!(Point6, x, y, z, w, a, b);
-rand_impl!(Point6, x, y, z, w, a, b);
-point_display_impl!(Point6);

src/structs/point_macros.rs

@@ -1,7 +1,13 @@
 #![macro_use]
 
-macro_rules! origin_impl(
-    ($t: ident, $($compN: ident),+) => (
+macro_rules! point_impl(
+    ($t: ident, $tv: ident | $($compN: ident),+) => (
+
+        /*
+         *
+         * Origin.
+         *
+         */
         impl<N: Zero> Origin for $t<N> {
             #[inline]
             fn origin() -> $t<N> {
@@ -15,11 +21,13 @@ macro_rules! origin_impl(
                 $(self.$compN.is_zero() )&&+
             }
         }
-    )
-);
 
-macro_rules! point_sub_impl(
-    ($t: ident, $tv: ident) => (
+
+        /*
+         *
+         * Point - Point
+         *
+         */
         impl<N: Copy + Sub<N, Output = N>> Sub<$t<N>> for $t<N> {
             type Output = $tv<N>;
 
@@ -28,11 +36,13 @@ macro_rules! point_sub_impl(
                 *self.as_vector() - *right.as_vector()
             }
         }
-    )
-);
 
-macro_rules! point_add_vec_impl(
-    ($t: ident, $tv: ident, $($compN: ident),+) => (
+
+        /*
+         *
+         * Point + Vector
+         *
+         */
         impl<N: Copy + Add<N, Output = N>> Add<$tv<N>> for $t<N> {
             type Output = $t<N>;
 
@@ -48,11 +58,13 @@ macro_rules! point_add_vec_impl(
                 $( self.$compN += right.$compN; )+
             }
         }
-    )
-);
 
-macro_rules! point_sub_vec_impl(
-    ($t: ident, $tv: ident, $($compN: ident),+) => (
+
+        /*
+         *
+         * Point - Vector
+         *
+         */
         impl<N: Copy + Sub<N, Output = N>> Sub<$tv<N>> for $t<N> {
             type Output = $t<N>;
 
@@ -68,11 +80,14 @@ macro_rules! point_sub_vec_impl(
                 $( self.$compN -= right.$compN; )+
             }
         }
-    )
-);
 
-macro_rules! point_as_vec_impl(
-    ($t: ident, $tv: ident, $($compN: ident),+) => (
+
+
+        /*
+         *
+         * Point as vector.
+         *
+         */
         impl<N> $t<N> {
             /// Converts this point to its associated vector.
             #[inline]
@@ -114,40 +129,14 @@ macro_rules! point_as_vec_impl(
                 self.set_coords(v)
             }
         }
-    )
-);
 
-macro_rules! point_to_homogeneous_impl(
-    ($t: ident, $t2: ident, $extra: ident, $($compN: ident),+) => (
-        impl<N: Copy + One + Zero> ToHomogeneous<$t2<N>> for $t<N> {
-            fn to_homogeneous(&self) -> $t2<N> {
-                let mut res: $t2<N> = Origin::origin();
 
-                $( res.$compN = self.$compN; )+
-                res.$extra    = ::one();
 
-                res
-            }
-        }
-    )
-);
-
-macro_rules! point_from_homogeneous_impl(
-    ($t: ident, $t2: ident, $extra: ident, $($compN: ident),+) => (
-        impl<N: Copy + Div<N, Output = N> + One + Zero> FromHomogeneous<$t2<N>> for $t<N> {
-            fn from(v: &$t2<N>) -> $t<N> {
-                let mut res: $t<N> = Origin::origin();
-
-                $( res.$compN = v.$compN / v.$extra; )+
-
-                res
-            }
-        }
-    )
-);
-
-macro_rules! num_float_point_impl(
-    ($t: ident, $tv: ident) => (
+        /*
+         *
+         * NumPoint / FloatPoint
+         *
+         */
         impl<N> NumPoint<N> for $t<N>
             where N: BaseNum {
         }
@@ -155,25 +144,13 @@ macro_rules! num_float_point_impl(
         impl<N> FloatPoint<N> for $t<N>
             where N: BaseFloat + ApproxEq<N> {
         }
-    )
-);
 
-macro_rules! arbitrary_point_impl(
-    ($t: ident, $($compN: ident),*) => (
-        #[cfg(feature="arbitrary")]
-        impl<N: Arbitrary> Arbitrary for $t<N> {
-            #[inline]
-            fn arbitrary<G: Gen>(g: &mut G) -> $t<N> {
-                $t {
-                    $($compN: Arbitrary::arbitrary(g),)*
-                }
-            }
-        }
-    )
-);
 
-macro_rules! point_display_impl(
-    ($t: ident) => (
+        /*
+         *
+         * Display
+         *
+         */
         impl<N: fmt::Display> fmt::Display for $t<N> {
             fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
                 // FIXME: differenciate them from vectors ?
@@ -190,5 +167,34 @@ macro_rules! point_display_impl(
                 write!(f, ")")
             }
         }
+    );
+    ($t: ident, $tv: ident, $th: ident, $comp_extra: ident | $($compN: ident),+) => (
+        point_impl!($t, $tv | $($compN),+);
+
+        /*
+         *
+         * ToHomogeneous / FromHomogeneous
+         *
+         */
+        impl<N: Copy + One + Zero> ToHomogeneous<$th<N>> for $t<N> {
+            fn to_homogeneous(&self) -> $th<N> {
+                let mut res: $th<N> = Origin::origin();
+
+                $( res.$compN = self.$compN; )+
+                res.$comp_extra = ::one();
+
+                res
+            }
+        }
+
+        impl<N: Copy + Div<N, Output = N> + One + Zero> FromHomogeneous<$th<N>> for $t<N> {
+            fn from(v: &$th<N>) -> $t<N> {
+                let mut res: $t<N> = Origin::origin();
+
+                $( res.$compN = v.$compN / v.$comp_extra; )+
+
+                res
+            }
+        }
     )
 );

src/structs/quaternion.rs

@@ -32,17 +32,6 @@ pub struct Quaternion<N> {
 }
 
 impl<N> Quaternion<N> {
-    /// Creates a new quaternion from its components.
-    #[inline]
-    pub fn new(w: N, i: N, j: N, k: N) -> Quaternion<N> {
-        Quaternion {
-            w: w,
-            i: i,
-            j: j,
-            k: k
-        }
-    }
-
     /// The vector part `(i, j, k)` of this quaternion.
     #[inline]
     pub fn vector(&self) -> &Vector3<N> {
@@ -176,9 +165,6 @@ impl<N: fmt::Display> fmt::Display for Quaternion<N> {
     }
 }
 
-rand_impl!(Quaternion, w, i, j, k);
-
-
 /// A unit quaternion that can represent a 3D rotation.
 #[repr(C)]
 #[derive(Eq, PartialEq, RustcEncodable, RustcDecodable, Clone, Hash, Debug, Copy)]
@@ -557,6 +543,18 @@ impl<N: fmt::Display> fmt::Display for UnitQuaternion<N> {
     }
 }
 
+/*
+ *
+ * Dimension
+ *
+ */
+impl<N> Dimension for UnitQuaternion<N> {
+    #[inline]
+    fn dimension(_: Option<UnitQuaternion<N>>) -> usize {
+        3
+    }
+}
+
 #[cfg(feature="arbitrary")]
 impl<N: Arbitrary + BaseFloat> Arbitrary for UnitQuaternion<N> {
     fn arbitrary<G: Gen>(g: &mut G) -> UnitQuaternion<N> {
@@ -592,45 +590,15 @@ impl Quaternion<f32> {
   }
 }
 
-impl<T> Zero for Quaternion<T> where T: Zero {
-  fn zero() -> Self {
-    Quaternion::new(::zero(), ::zero(), ::zero(), ::zero())
-  }
-
-  fn is_zero(&self) -> bool {
-    self.w.is_zero() && self.i.is_zero() && self.j.is_zero() && self.k.is_zero()
-  }
-}
-
 impl<T> One for Quaternion<T> where T: Copy + One + Zero + Sub<T, Output = T> + Add<T, Output = T> {
   fn one() -> Self {
     Quaternion::new(T::one(), T::zero(), T::zero(), T::zero())
   }
 }
 
-pord_impl!(Quaternion, w, i, j, k);
-vec_axis_impl!(Quaternion, w, i, j, k);
-vec_cast_impl!(Quaternion, w, i, j, k);
-conversion_impl!(Quaternion, 4);
-index_impl!(Quaternion);
-indexable_impl!(Quaternion, 4);
-at_fast_impl!(Quaternion, 4);
-repeat_impl!(Quaternion, val, w, i, j, k);
-dim_impl!(Quaternion, 3);
-container_impl!(Quaternion);
-add_impl!(Quaternion, w, i, j, k);
-sub_impl!(Quaternion, w, i, j, k);
-scalar_add_impl!(Quaternion, w, i, j, k);
-scalar_sub_impl!(Quaternion, w, i, j, k);
-scalar_mul_impl!(Quaternion, w, i, j, k);
-scalar_div_impl!(Quaternion, w, i, j, k);
-neg_impl!(Quaternion, w, i, j, k);
-approx_eq_impl!(Quaternion, w, i, j, k);
+componentwise_zero!(Quaternion, w, i, j, k);
+component_basis_element!(Quaternion, w, i, j, k);
+pointwise_add!(Quaternion, w, i, j, k);
+pointwise_sub!(Quaternion, w, i, j, k);
 from_iterator_impl!(Quaternion, iterator, iterator, iterator, iterator);
-bounded_impl!(Quaternion, w, i, j, k);
-axpy_impl!(Quaternion, w, i, j, k);
-iterable_impl!(Quaternion, 4);
-iterable_mut_impl!(Quaternion, 4);
-arbitrary_impl!(Quaternion, w, i, j, k);
-
-dim_impl!(UnitQuaternion, 3);
+vectorlike_impl!(Quaternion, 4, w, i, j, k);

src/structs/rotation.rs

@@ -105,13 +105,6 @@ impl<N: BaseFloat> AbsoluteRotate<Vector2<N>> for Rotation2<N> {
     }
 }
 
-#[cfg(feature="arbitrary")]
-impl<N: Arbitrary + BaseFloat> Arbitrary for Rotation2<N> {
-    fn arbitrary<G: Gen>(g: &mut G) -> Rotation2<N> {
-        Rotation2::new(Arbitrary::arbitrary(g))
-    }
-}
-
 
 /*
  * 3d rotation
@@ -343,60 +336,13 @@ impl<N: BaseFloat> AbsoluteRotate<Vector3<N>> for Rotation3<N> {
     }
 }
 
-#[cfg(feature="arbitrary")]
-impl<N: Arbitrary + BaseFloat> Arbitrary for Rotation3<N> {
-    fn arbitrary<G: Gen>(g: &mut G) -> Rotation3<N> {
-        Rotation3::new(Arbitrary::arbitrary(g))
-    }
-}
-
 
 /*
  * Common implementations.
  */
 
-submat_impl!(Rotation2, Matrix2);
-rotate_impl!(Rotation2, Vector2, Point2);
-transform_impl!(Rotation2, Vector2, Point2);
+rotation_impl!(Rotation2, Matrix2, Vector2, Vector1, Point2, Matrix3);
 dim_impl!(Rotation2, 2);
-rotation_mul_rotation_impl!(Rotation2);
-rotation_mul_vec_impl!(Rotation2, Vector2);
-vec_mul_rotation_impl!(Rotation2, Vector2);
-rotation_mul_point_impl!(Rotation2, Point2);
-point_mul_rotation_impl!(Rotation2, Point2);
-one_impl!(Rotation2);
-eye_impl!(Rotation2);
-rotation_matrix_impl!(Rotation2, Vector2, Vector1);
-column_impl!(Rotation2, Vector2);
-row_impl!(Rotation2, Vector2);
-index_impl!(Rotation2);
-absolute_impl!(Rotation2, Matrix2);
-to_homogeneous_impl!(Rotation2, Matrix3);
-inverse_impl!(Rotation2);
-transpose_impl!(Rotation2);
-approx_eq_impl!(Rotation2);
-diag_impl!(Rotation2, Vector2);
-rotation_display_impl!(Rotation2);
 
-submat_impl!(Rotation3, Matrix3);
-rotate_impl!(Rotation3, Vector3, Point3);
-transform_impl!(Rotation3, Vector3, Point3);
+rotation_impl!(Rotation3, Matrix3, Vector3, Vector3, Point3, Matrix4);
 dim_impl!(Rotation3, 3);
-rotation_mul_rotation_impl!(Rotation3);
-rotation_mul_vec_impl!(Rotation3, Vector3);
-vec_mul_rotation_impl!(Rotation3, Vector3);
-rotation_mul_point_impl!(Rotation3, Point3);
-point_mul_rotation_impl!(Rotation3, Point3);
-one_impl!(Rotation3);
-eye_impl!(Rotation3);
-rotation_matrix_impl!(Rotation3, Vector3, Vector3);
-column_impl!(Rotation3, Vector3);
-row_impl!(Rotation3, Vector3);
-index_impl!(Rotation3);
-absolute_impl!(Rotation3, Matrix3);
-to_homogeneous_impl!(Rotation3, Matrix4);
-inverse_impl!(Rotation3);
-transpose_impl!(Rotation3);
-approx_eq_impl!(Rotation3);
-diag_impl!(Rotation3, Vector3);
-rotation_display_impl!(Rotation3);

src/structs/rotation_macros.rs

@@ -1,7 +1,7 @@
 #![macro_use]
 
-macro_rules! submat_impl(
-    ($t: ident, $submatrix: ident) => (
+macro_rules! rotation_impl(
+    ($t: ident, $submatrix: ident, $vector: ident, $rotvector: ident, $point: ident, $homogeneous: ident) => (
         impl<N> $t<N> {
             /// This rotation's underlying matrix.
             #[inline]
@@ -9,79 +9,75 @@ macro_rules! submat_impl(
                 &self.submatrix
             }
         }
-    )
-);
 
-macro_rules! rotate_impl(
-    ($t: ident, $tv: ident, $tp: ident) => (
-        impl<N: BaseNum> Rotate<$tv<N>> for $t<N> {
+
+        /*
+         *
+         * Rotate Vector and Point
+         *
+         */
+        impl<N: BaseNum> Rotate<$vector<N>> for $t<N> {
             #[inline]
-            fn rotate(&self, v: &$tv<N>) -> $tv<N> {
+            fn rotate(&self, v: &$vector<N>) -> $vector<N> {
                 *self * *v
             }
 
             #[inline]
-            fn inverse_rotate(&self, v: &$tv<N>) -> $tv<N> {
+            fn inverse_rotate(&self, v: &$vector<N>) -> $vector<N> {
                 *v * *self
             }
         }
 
-        impl<N: BaseNum> Rotate<$tp<N>> for $t<N> {
+        impl<N: BaseNum> Rotate<$point<N>> for $t<N> {
             #[inline]
-            fn rotate(&self, p: &$tp<N>) -> $tp<N> {
+            fn rotate(&self, p: &$point<N>) -> $point<N> {
                 *self * *p
             }
 
             #[inline]
-            fn inverse_rotate(&self, p: &$tp<N>) -> $tp<N> {
+            fn inverse_rotate(&self, p: &$point<N>) -> $point<N> {
                 *p * *self
             }
         }
-    )
-);
 
-macro_rules! transform_impl(
-    ($t: ident, $tv: ident, $tp: ident) => (
-        impl<N: BaseNum> Transform<$tv<N>> for $t<N> {
+
+        /*
+         *
+         * Transform Vector and Point
+         *
+         */
+        impl<N: BaseNum> Transform<$vector<N>> for $t<N> {
             #[inline]
-            fn transform(&self, v: &$tv<N>) -> $tv<N> {
+            fn transform(&self, v: &$vector<N>) -> $vector<N> {
                 self.rotate(v)
             }
 
             #[inline]
-            fn inverse_transform(&self, v: &$tv<N>) -> $tv<N> {
+            fn inverse_transform(&self, v: &$vector<N>) -> $vector<N> {
                 self.inverse_rotate(v)
             }
         }
 
-        impl<N: BaseNum> Transform<$tp<N>> for $t<N> {
+        impl<N: BaseNum> Transform<$point<N>> for $t<N> {
             #[inline]
-            fn transform(&self, p: &$tp<N>) -> $tp<N> {
+            fn transform(&self, p: &$point<N>) -> $point<N> {
                 self.rotate(p)
             }
 
             #[inline]
-            fn inverse_transform(&self, p: &$tp<N>) -> $tp<N> {
+            fn inverse_transform(&self, p: &$point<N>) -> $point<N> {
                 self.inverse_rotate(p)
             }
         }
-    )
-);
 
-macro_rules! dim_impl(
-    ($t: ident, $dimension: expr) => (
-        impl<N> Dimension for $t<N> {
-            #[inline]
-            fn dimension(_: Option<$t<N>>) -> usize {
-                $dimension
-            }
-        }
-    )
-);
 
-macro_rules! rotation_matrix_impl(
-    ($t: ident, $tlv: ident, $tav: ident) => (
-        impl<N: Zero + BaseNum + Cast<f64> + BaseFloat> RotationMatrix<N, $tlv<N>, $tav<N>> for $t<N> {
+
+        /*
+         *
+         * Rotation Matrix
+         *
+         */
+        impl<N: Zero + BaseNum + Cast<f64> + BaseFloat> RotationMatrix<N, $vector<N>, $rotvector<N>> for $t<N> {
             type Output = $t<N>;
 
             #[inline]
@@ -89,22 +85,26 @@ macro_rules! rotation_matrix_impl(
                 self.clone()
             }
         }
-    )
-);
 
-macro_rules! one_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * One
+         *
+         */
         impl<N: BaseNum> One for $t<N> {
             #[inline]
             fn one() -> $t<N> {
                 $t { submatrix: ::one() }
             }
         }
-    )
-);
 
-macro_rules! eye_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * Eye
+         *
+         */
         impl<N: BaseNum> Eye for $t<N> {
             #[inline]
             fn new_identity(dimension: usize) -> $t<N> {
@@ -116,27 +116,31 @@ macro_rules! eye_impl(
                 }
             }
         }
-    )
-);
 
-macro_rules! diag_impl(
-    ($t: ident, $tv: ident) => (
-        impl<N: Copy + Zero> Diagonal<$tv<N>> for $t<N> {
+
+        /*
+         *
+         * Diagonal
+         *
+         */
+        impl<N: Copy + Zero> Diagonal<$vector<N>> for $t<N> {
             #[inline]
-            fn from_diagonal(diagonal: &$tv<N>) -> $t<N> {
+            fn from_diagonal(diagonal: &$vector<N>) -> $t<N> {
                 $t { submatrix: Diagonal::from_diagonal(diagonal) }
             }
 
             #[inline]
-            fn diagonal(&self) -> $tv<N> {
+            fn diagonal(&self) -> $vector<N> {
                 self.submatrix.diagonal()
             }
         }
-    )
-);
 
-macro_rules! rotation_mul_rotation_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * Rotation * Rotation
+         *
+         */
         impl<N: BaseNum> Mul<$t<N>> for $t<N> {
             type Output = $t<N>;
 
@@ -152,56 +156,75 @@ macro_rules! rotation_mul_rotation_impl(
                 self.submatrix *= right.submatrix
             }
         }
-    )
-);
 
-macro_rules! rotation_mul_vec_impl(
-    ($t: ident, $tv: ident) => (
-        impl<N: BaseNum> Mul<$tv<N>> for $t<N> {
-            type Output = $tv<N>;
+
+        /*
+         *
+         * Rotation * Vector
+         *
+         */
+        impl<N: BaseNum> Mul<$vector<N>> for $t<N> {
+            type Output = $vector<N>;
 
             #[inline]
-            fn mul(self, right: $tv<N>) -> $tv<N> {
+            fn mul(self, right: $vector<N>) -> $vector<N> {
                 self.submatrix * right
             }
         }
-    )
-);
 
-macro_rules! rotation_mul_point_impl(
-    ($t: ident, $tv: ident) => (
-        rotation_mul_vec_impl!($t, $tv);
-    )
-);
-
-macro_rules! vec_mul_rotation_impl(
-    ($t: ident, $tv: ident) => (
-        impl<N: BaseNum> Mul<$t<N>> for $tv<N> {
-            type Output = $tv<N>;
+        impl<N: BaseNum> Mul<$t<N>> for $vector<N> {
+            type Output = $vector<N>;
 
             #[inline]
-            fn mul(self, right: $t<N>) -> $tv<N> {
+            fn mul(self, right: $t<N>) -> $vector<N> {
                 self * right.submatrix
             }
         }
 
-        impl<N: Copy + BaseNum> MulAssign<$t<N>> for $tv<N> {
+        impl<N: Copy + BaseNum> MulAssign<$t<N>> for $vector<N> {
             #[inline]
             fn mul_assign(&mut self, right: $t<N>) {
                 *self *= right.submatrix
             }
         }
-    )
-);
 
-macro_rules! point_mul_rotation_impl(
-    ($t: ident, $tv: ident) => (
-        vec_mul_rotation_impl!($t, $tv);
-    )
-);
 
-macro_rules! inverse_impl(
-    ($t: ident) => (
+        /*
+         *
+         * Rotation * Point
+         *
+         */
+        impl<N: BaseNum> Mul<$point<N>> for $t<N> {
+            type Output = $point<N>;
+
+            #[inline]
+            fn mul(self, right: $point<N>) -> $point<N> {
+                self.submatrix * right
+            }
+        }
+
+        impl<N: BaseNum> Mul<$t<N>> for $point<N> {
+            type Output = $point<N>;
+
+            #[inline]
+            fn mul(self, right: $t<N>) -> $point<N> {
+                self * right.submatrix
+            }
+        }
+
+        impl<N: Copy + BaseNum> MulAssign<$t<N>> for $point<N> {
+            #[inline]
+            fn mul_assign(&mut self, right: $t<N>) {
+                *self *= right.submatrix
+            }
+        }
+
+
+        /*
+         *
+         * Inverse
+         *
+         */
         impl<N: Copy> Inverse for $t<N> {
             #[inline]
             fn inverse_mut(&mut self) -> bool {
@@ -217,11 +240,13 @@ macro_rules! inverse_impl(
                 Some(self.transpose())
             }
         }
-    )
-);
 
-macro_rules! transpose_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * Transpose
+         *
+         */
         impl<N: Copy> Transpose for $t<N> {
             #[inline]
             fn transpose(&self) -> $t<N> {
@@ -233,51 +258,57 @@ macro_rules! transpose_impl(
                 self.submatrix.transpose_mut()
             }
         }
-    )
-);
 
-macro_rules! row_impl(
-    ($t: ident, $tv: ident) => (
-        impl<N: Copy + Zero> Row<$tv<N>> for $t<N> {
+
+        /*
+         *
+         * Row
+         *
+         */
+        impl<N: Copy + Zero> Row<$vector<N>> for $t<N> {
             #[inline]
             fn nrows(&self) -> usize {
                 self.submatrix.nrows()
             }
             #[inline]
-            fn row(&self, i: usize) -> $tv<N> {
+            fn row(&self, i: usize) -> $vector<N> {
                 self.submatrix.row(i)
             }
 
             #[inline]
-            fn set_row(&mut self, i: usize, row: $tv<N>) {
+            fn set_row(&mut self, i: usize, row: $vector<N>) {
                 self.submatrix.set_row(i, row);
             }
         }
-    )
-);
 
-macro_rules! column_impl(
-    ($t: ident, $tv: ident) => (
-        impl<N: Copy + Zero> Column<$tv<N>> for $t<N> {
+
+        /*
+         *
+         * Column
+         *
+         */
+        impl<N: Copy + Zero> Column<$vector<N>> for $t<N> {
             #[inline]
             fn ncols(&self) -> usize {
                 self.submatrix.ncols()
             }
             #[inline]
-            fn column(&self, i: usize) -> $tv<N> {
+            fn column(&self, i: usize) -> $vector<N> {
                 self.submatrix.column(i)
             }
 
             #[inline]
-            fn set_column(&mut self, i: usize, column: $tv<N>) {
+            fn set_column(&mut self, i: usize, column: $vector<N>) {
                 self.submatrix.set_column(i, column);
             }
         }
-    )
-);
 
-macro_rules! index_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * Index
+         *
+         */
         impl<N> Index<(usize, usize)> for $t<N> {
             type Output = N;
 
@@ -285,22 +316,26 @@ macro_rules! index_impl(
                 &self.submatrix[i]
             }
         }
-    )
-);
 
-macro_rules! to_homogeneous_impl(
-    ($t: ident, $tm: ident) => (
-        impl<N: BaseNum> ToHomogeneous<$tm<N>> for $t<N> {
+
+        /*
+         *
+         * ToHomogeneous
+         *
+         */
+        impl<N: BaseNum> ToHomogeneous<$homogeneous<N>> for $t<N> {
             #[inline]
-            fn to_homogeneous(&self) -> $tm<N> {
+            fn to_homogeneous(&self) -> $homogeneous<N> {
                 self.submatrix.to_homogeneous()
             }
         }
-    )
-);
 
-macro_rules! approx_eq_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * ApproxEq
+         *
+         */
         impl<N: ApproxEq<N>> ApproxEq<N> for $t<N> {
             #[inline]
             fn approx_epsilon(_: Option<$t<N>>) -> N {
@@ -327,22 +362,27 @@ macro_rules! approx_eq_impl(
                 ApproxEq::approx_eq_ulps(&self.submatrix, &other.submatrix, ulps)
             }
         }
-    )
-);
 
-macro_rules! absolute_impl(
-    ($t: ident, $tm: ident) => (
-        impl<N: Absolute<N>> Absolute<$tm<N>> for $t<N> {
+
+        /*
+         *
+         * Absolute
+         *
+         */
+        impl<N: Absolute<N>> Absolute<$submatrix<N>> for $t<N> {
             #[inline]
-            fn abs(m: &$t<N>) -> $tm<N> {
+            fn abs(m: &$t<N>) -> $submatrix<N> {
                 Absolute::abs(&m.submatrix)
             }
         }
-    )
-);
 
-macro_rules! rotation_display_impl(
-    ($t: ident) => (
+
+
+        /*
+         *
+         * Display
+         *
+         */
         impl<N: fmt::Display + BaseFloat> fmt::Display for $t<N> {
             fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
                 let precision = f.precision().unwrap_or(3);
@@ -352,5 +392,29 @@ macro_rules! rotation_display_impl(
                 writeln!(f, "}}")
             }
         }
+
+
+        /*
+         *
+         * Arbitrary
+         *
+         */
+        #[cfg(feature="arbitrary")]
+        impl<N: Arbitrary + BaseFloat> Arbitrary for $t<N> {
+            fn arbitrary<G: Gen>(g: &mut G) -> $t<N> {
+                $t::new(Arbitrary::arbitrary(g))
+            }
+        }
+    )
+);
+
+macro_rules! dim_impl(
+    ($t: ident, $dimension: expr) => (
+        impl<N> Dimension for $t<N> {
+            #[inline]
+            fn dimension(_: Option<$t<N>>) -> usize {
+                $dimension
+            }
+        }
     )
 );

src/structs/similarity.rs

@@ -6,7 +6,7 @@ use num::One;
 use structs::matrix::{Matrix3, Matrix4};
 use traits::structure::{Dimension, Column, BaseFloat, BaseNum};
 use traits::operations::{Inverse, ApproxEq};
-use traits::geometry::{Rotation, Transform, Transformation, Translation, ToHomogeneous};
+use traits::geometry::{Transform, Transformation, ToHomogeneous};
 
 use structs::vector::{Vector1, Vector2, Vector3};
 use structs::point::{Point2, Point3};
@@ -49,38 +49,9 @@ pub struct Similarity3<N> {
     pub isometry: Isometry3<N>
 }
 
-sim_impl!(Similarity2, Isometry2, Rotation2, Vector2, Vector1);
-dim_impl!(Similarity2, 2);
-sim_scale_impl!(Similarity2);
-sim_one_impl!(Similarity2);
-sim_mul_sim_impl!(Similarity2);
-sim_mul_isometry_impl!(Similarity2, Isometry2);
-sim_mul_rotation_impl!(Similarity2, Rotation2);
-sim_mul_point_vec_impl!(Similarity2, Point2);
-sim_mul_point_vec_impl!(Similarity2, Vector2);
-transformation_impl!(Similarity2);
-sim_transform_impl!(Similarity2, Point2);
-sim_inverse_impl!(Similarity2);
-sim_to_homogeneous_impl!(Similarity2, Matrix3);
-sim_approx_eq_impl!(Similarity2);
-sim_rand_impl!(Similarity2);
-sim_arbitrary_impl!(Similarity2);
-sim_display_impl!(Similarity2);
 
-sim_impl!(Similarity3, Isometry3, Rotation3, Vector3, Vector3);
+similarity_impl!(Similarity2, Isometry2, Rotation2, Vector2, Vector1, Point2, Matrix3);
+dim_impl!(Similarity2, 2);
+
+similarity_impl!(Similarity3, Isometry3, Rotation3, Vector3, Vector3, Point3, Matrix4);
 dim_impl!(Similarity3, 3);
-sim_scale_impl!(Similarity3);
-sim_one_impl!(Similarity3);
-sim_mul_sim_impl!(Similarity3);
-sim_mul_isometry_impl!(Similarity3, Isometry3);
-sim_mul_rotation_impl!(Similarity3, Rotation3);
-sim_mul_point_vec_impl!(Similarity3, Point3);
-sim_mul_point_vec_impl!(Similarity3, Vector3);
-transformation_impl!(Similarity3);
-sim_transform_impl!(Similarity3, Point3);
-sim_inverse_impl!(Similarity3);
-sim_to_homogeneous_impl!(Similarity3, Matrix4);
-sim_approx_eq_impl!(Similarity3);
-sim_rand_impl!(Similarity3);
-sim_arbitrary_impl!(Similarity3);
-sim_display_impl!(Similarity3);

src/structs/similarity_macros.rs

@@ -1,13 +1,22 @@
 #![macro_use]
 
-macro_rules! sim_impl(
-    ($t: ident, $isometry: ident, $rotation_matrix: ident, $subvector: ident, $subrotvector: ident) => (
+macro_rules! similarity_impl(
+    ($t: ident,
+     $isometry: ident, $rotation_matrix: ident,
+     $vector: ident, $rotvector: ident,
+     $point: ident,
+     $homogeneous_matrix: ident) => (
         impl<N: BaseFloat> $t<N> {
+            /*
+             *
+             * Constructors.
+             *
+             */
             /// Creates a new similarity transformation from a vector, an axis-angle rotation, and a scale factor.
             ///
             /// The scale factor may be negative but not zero.
             #[inline]
-            pub fn new(translation: $subvector<N>, rotation: $subrotvector<N>, scale: N) -> $t<N> {
+            pub fn new(translation: $vector<N>, rotation: $rotvector<N>, scale: N) -> $t<N> {
                 assert!(!scale.is_zero(), "A similarity transformation scale factor cannot be zero.");
 
                 $t {
@@ -20,7 +29,7 @@ macro_rules! sim_impl(
             ///
             /// The scale factor may be negative but not zero.
             #[inline]
-            pub fn new_with_rotation_matrix(translation: $subvector<N>, rotation: $rotation_matrix<N>, scale: N) -> $t<N> {
+            pub fn new_with_rotation_matrix(translation: $vector<N>, rotation: $rotation_matrix<N>, scale: N) -> $t<N> {
                 assert!(!scale.is_zero(), "A similarity transformation scale factor cannot be zero.");
 
                 $t {
@@ -41,13 +50,12 @@ macro_rules! sim_impl(
                     isometry: isometry
                 }
             }
-        }
-    )
-);
 
-macro_rules! sim_scale_impl(
-    ($t: ident) => (
-        impl<N: BaseFloat> $t<N> {
+            /*
+             *
+             * Methods related to scaling.
+             *
+             */
             /// The scale factor of this similarity transformation.
             #[inline]
             pub fn scale(&self) -> N {
@@ -96,22 +104,61 @@ macro_rules! sim_scale_impl(
                 self.scale = s
             }
         }
-    )
-);
 
-macro_rules! sim_one_impl(
-    ($t: ident) => (
+        /*
+         *
+         * One Impl.
+         *
+         */
         impl<N: BaseFloat> One for $t<N> {
             #[inline]
             fn one() -> $t<N> {
                 $t::new_with_isometry(::one(), ::one())
             }
         }
-    )
-);
 
-macro_rules! sim_mul_sim_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * Transformation
+         *
+         */
+        impl<N: BaseFloat> Transformation<$t<N>> for $t<N> {
+            fn transformation(&self) -> $t<N> {
+                *self
+            }
+
+            fn inverse_transformation(&self) -> $t<N> {
+                // inversion will never fails
+                Inverse::inverse(self).unwrap()
+            }
+
+            fn append_transformation_mut(&mut self, t: &$t<N>) {
+                *self = *t * *self
+            }
+
+            fn append_transformation(&self, t: &$t<N>) -> $t<N> {
+                *t * *self
+            }
+
+            fn prepend_transformation_mut(&mut self, t: &$t<N>) {
+                *self = *self * *t
+            }
+
+            fn prepend_transformation(&self, t: &$t<N>) -> $t<N> {
+                *self * *t
+            }
+
+            fn set_transformation(&mut self, t: $t<N>) {
+                *self = t
+            }
+        }
+
+        /*
+         *
+         * Similarity × Similarity
+         *
+         */
         impl<N: BaseFloat> Mul<$t<N>> for $t<N> {
             type Output = $t<N>;
 
@@ -132,16 +179,18 @@ macro_rules! sim_mul_sim_impl(
                 self.scale                *= right.scale;
             }
         }
-    )
-);
 
-macro_rules! sim_mul_isometry_impl(
-    ($t: ident, $ti: ident) => (
-        impl<N: BaseFloat> Mul<$ti<N>> for $t<N> {
+
+        /*
+         *
+         * Similarity × Isometry
+         *
+         */
+        impl<N: BaseFloat> Mul<$isometry<N>> for $t<N> {
             type Output = $t<N>;
 
             #[inline]
-            fn mul(self, right: $ti<N>) -> $t<N> {
+            fn mul(self, right: $isometry<N>) -> $t<N> {
                 $t::new_with_rotation_matrix(
                     self.isometry.translation + self.isometry.rotation * (right.translation * self.scale),
                     self.isometry.rotation * right.rotation,
@@ -149,15 +198,15 @@ macro_rules! sim_mul_isometry_impl(
             }
         }
 
-        impl<N: BaseFloat> MulAssign<$ti<N>> for $t<N> {
+        impl<N: BaseFloat> MulAssign<$isometry<N>> for $t<N> {
             #[inline]
-            fn mul_assign(&mut self, right: $ti<N>) {
+            fn mul_assign(&mut self, right: $isometry<N>) {
                 self.isometry.translation += self.isometry.rotation * (right.translation * self.scale);
                 self.isometry.rotation    *= right.rotation;
             }
         }
 
-        impl<N: BaseFloat> Mul<$t<N>> for $ti<N> {
+        impl<N: BaseFloat> Mul<$t<N>> for $isometry<N> {
             type Output = $t<N>;
 
             #[inline]
@@ -168,16 +217,17 @@ macro_rules! sim_mul_isometry_impl(
                     right.scale)
             }
         }
-    )
-);
 
-macro_rules! sim_mul_rotation_impl(
-    ($t: ident, $tr: ident) => (
-        impl<N: BaseFloat> Mul<$tr<N>> for $t<N> {
+        /*
+         *
+         * Similarity × Rotation
+         *
+         */
+        impl<N: BaseFloat> Mul<$rotation_matrix<N>> for $t<N> {
             type Output = $t<N>;
 
             #[inline]
-            fn mul(self, right: $tr<N>) -> $t<N> {
+            fn mul(self, right: $rotation_matrix<N>) -> $t<N> {
                 $t::new_with_rotation_matrix(
                     self.isometry.translation,
                     self.isometry.rotation * right,
@@ -185,14 +235,14 @@ macro_rules! sim_mul_rotation_impl(
             }
         }
 
-        impl<N: BaseFloat> MulAssign<$tr<N>> for $t<N> {
+        impl<N: BaseFloat> MulAssign<$rotation_matrix<N>> for $t<N> {
             #[inline]
-            fn mul_assign(&mut self, right: $tr<N>) {
+            fn mul_assign(&mut self, right: $rotation_matrix<N>) {
                 self.isometry.rotation *= right;
             }
         }
 
-        impl<N: BaseFloat> Mul<$t<N>> for $tr<N> {
+        impl<N: BaseFloat> Mul<$t<N>> for $rotation_matrix<N> {
             type Output = $t<N>;
 
             #[inline]
@@ -203,44 +253,56 @@ macro_rules! sim_mul_rotation_impl(
                     right.scale)
             }
         }
-    )
-);
 
-macro_rules! sim_mul_point_vec_impl(
-    ($t: ident, $tv: ident) => (
-        impl<N: BaseNum> Mul<$tv<N>> for $t<N> {
-            type Output = $tv<N>;
+        /*
+         *
+         * Similarity × { Point, Vector }
+         *
+         */
+        impl<N: BaseNum> Mul<$vector<N>> for $t<N> {
+            type Output = $vector<N>;
 
             #[inline]
-            fn mul(self, right: $tv<N>) -> $tv<N> {
+            fn mul(self, right: $vector<N>) -> $vector<N> {
                 self.isometry * (right * self.scale)
             }
         }
 
+        impl<N: BaseNum> Mul<$point<N>> for $t<N> {
+            type Output = $point<N>;
+
+            #[inline]
+            fn mul(self, right: $point<N>) -> $point<N> {
+                self.isometry * (right * self.scale)
+            }
+        }
 
         // NOTE: there is no viable pre-multiplication definition because of the translation
         // component.
-    )
-);
 
-macro_rules! sim_transform_impl(
-    ($t: ident, $tp: ident) => (
-        impl<N: BaseNum> Transform<$tp<N>> for $t<N> {
+        /*
+         *
+         * Similarity × Point
+         *
+         */
+        impl<N: BaseNum> Transform<$point<N>> for $t<N> {
             #[inline]
-            fn transform(&self, p: &$tp<N>) -> $tp<N> {
+            fn transform(&self, p: &$point<N>) -> $point<N> {
                 self.isometry.transform(&(*p * self.scale))
             }
 
             #[inline]
-            fn inverse_transform(&self, p: &$tp<N>) -> $tp<N> {
+            fn inverse_transform(&self, p: &$point<N>) -> $point<N> {
                 self.isometry.inverse_transform(p) / self.scale
             }
         }
-    )
-);
 
-macro_rules! sim_inverse_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * Inverse
+         *
+         */
         impl<N: BaseNum + Neg<Output = N>> Inverse for $t<N> {
             #[inline]
             fn inverse_mut(&mut self) -> bool {
@@ -263,28 +325,32 @@ macro_rules! sim_inverse_impl(
                 Some(res)
             }
         }
-    )
-);
 
-macro_rules! sim_to_homogeneous_impl(
-    ($t: ident, $th: ident) => (
-        impl<N: BaseNum> ToHomogeneous<$th<N>> for $t<N> {
-            fn to_homogeneous(&self) -> $th<N> {
+
+        /*
+         *
+         * ToHomogeneous
+         *
+         */
+        impl<N: BaseNum> ToHomogeneous<$homogeneous_matrix<N>> for $t<N> {
+            fn to_homogeneous(&self) -> $homogeneous_matrix<N> {
                 let mut res = (*self.isometry.rotation.submatrix() * self.scale).to_homogeneous();
 
                 // copy the translation
-                let dimension = Dimension::dimension(None::<$th<N>>);
+                let dimension = Dimension::dimension(None::<$homogeneous_matrix<N>>);
 
                 res.set_column(dimension - 1, self.isometry.translation.as_point().to_homogeneous().to_vector());
 
                 res
             }
         }
-    )
-);
 
-macro_rules! sim_approx_eq_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * ApproxEq
+         *
+         */
         impl<N: ApproxEq<N>> ApproxEq<N> for $t<N> {
             #[inline]
             fn approx_epsilon(_: Option<$t<N>>) -> N {
@@ -308,11 +374,13 @@ macro_rules! sim_approx_eq_impl(
                     ApproxEq::approx_eq_ulps(&self.isometry, &other.isometry, ulps)
             }
         }
-    )
-);
 
-macro_rules! sim_rand_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * Rand
+         *
+         */
         impl<N: Rand + BaseFloat> Rand for $t<N> {
             #[inline]
             fn rand<R: Rng>(rng: &mut R) -> $t<N> {
@@ -324,11 +392,13 @@ macro_rules! sim_rand_impl(
                 $t::new_with_isometry(rng.gen(), scale)
             }
         }
-    )
-);
 
-macro_rules! sim_arbitrary_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * Arbitrary
+         *
+         */
         #[cfg(feature="arbitrary")]
         impl<N: Arbitrary + BaseFloat> Arbitrary for $t<N> {
             fn arbitrary<G: Gen>(g: &mut G) -> $t<N> {
@@ -338,11 +408,13 @@ macro_rules! sim_arbitrary_impl(
                 )
             }
         }
-    )
-);
 
-macro_rules! sim_display_impl(
-    ($t: ident) => (
+
+        /*
+         *
+         * Display
+         *
+         */
         impl<N: fmt::Display + BaseFloat> fmt::Display for $t<N> {
             fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
                 try!(writeln!(f, "Similarity transformation {{"));

src/structs/specializations/matrix.rs

@@ -3,7 +3,7 @@ use structs::vector::{Vector2, Vector3};
 use structs::point::{Point2, Point3};
 use structs::matrix::{Matrix1, Matrix2, Matrix3};
 use traits::operations::{Inverse, Determinant, ApproxEq};
-use traits::structure::{Row, Column, BaseNum};
+use traits::structure::BaseNum;
 
 // some specializations:
 impl<N: BaseNum + ApproxEq<N>> Inverse for Matrix1<N> {
@@ -129,85 +129,6 @@ impl<N: BaseNum> Determinant<N> for Matrix3<N> {
     }
 }
 
-impl<N: Copy> Row<Vector3<N>> for Matrix3<N> {
-    #[inline]
-    fn nrows(&self) -> usize {
-        3
-    }
-
-    #[inline]
-    fn row(&self, i: usize) -> Vector3<N> {
-        match i {
-            0 => Vector3::new(self.m11, self.m12, self.m13),
-            1 => Vector3::new(self.m21, self.m22, self.m23),
-            2 => Vector3::new(self.m31, self.m32, self.m33),
-            _ => panic!(format!("Index out of range: 3d matrices do not have {} rows.",  i))
-        }
-    }
-
-    #[inline]
-    fn set_row(&mut self, i: usize, r: Vector3<N>) {
-        match i {
-            0 => {
-                self.m11 = r.x;
-                self.m12 = r.y;
-                self.m13 = r.z;
-            },
-            1 => {
-                self.m21 = r.x;
-                self.m22 = r.y;
-                self.m23 = r.z;
-            },
-            2 => {
-                self.m31 = r.x;
-                self.m32 = r.y;
-                self.m33 = r.z;
-            },
-            _ => panic!(format!("Index out of range: 3d matrices do not have {} rows.",  i))
-
-        }
-    }
-}
-
-impl<N: Copy> Column<Vector3<N>> for Matrix3<N> {
-    #[inline]
-    fn ncols(&self) -> usize {
-        3
-    }
-
-    #[inline]
-    fn column(&self, i: usize) -> Vector3<N> {
-        match i {
-            0 => Vector3::new(self.m11, self.m21, self.m31),
-            1 => Vector3::new(self.m12, self.m22, self.m32),
-            2 => Vector3::new(self.m13, self.m23, self.m33),
-            _ => panic!(format!("Index out of range: 3d matrices do not have {} cols.", i))
-        }
-    }
-
-    #[inline]
-    fn set_column(&mut self, i: usize, r: Vector3<N>) {
-        match i {
-            0 => {
-                self.m11 = r.x;
-                self.m21 = r.y;
-                self.m31 = r.z;
-            },
-            1 => {
-                self.m12 = r.x;
-                self.m22 = r.y;
-                self.m32 = r.z;
-            },
-            2 => {
-                self.m13 = r.x;
-                self.m23 = r.y;
-                self.m33 = r.z;
-            },
-            _ => panic!(format!("Index out of range: 3d matrices do not have {} cols.", i))
-
-        }
-    }
-}
 
 impl<N: Copy + Mul<N, Output = N> + Add<N, Output = N>> Mul<Matrix3<N>> for Matrix3<N> {
     type Output = Matrix3<N>;

src/structs/vector.rs

@@ -29,50 +29,14 @@ pub struct Vector1<N> {
     pub x: N
 }
 
-new_impl!(Vector1, x);
-pord_impl!(Vector1, x,);
-vec_axis_impl!(Vector1, x);
-vec_cast_impl!(Vector1, x);
-conversion_impl!(Vector1, 1);
-index_impl!(Vector1);
-indexable_impl!(Vector1, 1);
-at_fast_impl!(Vector1, 1);
-repeat_impl!(Vector1, val, x);
-dim_impl!(Vector1, 1);
-container_impl!(Vector1);
-// (specialized); basis_impl!(Vector1, 1);
-add_impl!(Vector1, x);
-sub_impl!(Vector1, x);
-mul_impl!(Vector1, x);
-div_impl!(Vector1, x);
-scalar_add_impl!(Vector1, x);
-scalar_sub_impl!(Vector1, x);
-scalar_mul_impl!(Vector1, x);
-scalar_div_impl!(Vector1, x);
-neg_impl!(Vector1, x);
-dot_impl!(Vector1, x);
-translation_impl!(Vector1);
-norm_impl!(Vector1, x);
-approx_eq_impl!(Vector1, x);
-zero_one_impl!(Vector1, x);
+vector_impl!(Vector1, Point1, x);
+vectorlike_impl!(Vector1, 1, x);
 from_iterator_impl!(Vector1, iterator);
-bounded_impl!(Vector1, x);
-axpy_impl!(Vector1, x);
-iterable_impl!(Vector1, 1);
-iterable_mut_impl!(Vector1, 1);
+// (specialized); basis_impl!(Vector1, 1);
 vec_to_homogeneous_impl!(Vector1, Vector2, y, x);
 vec_from_homogeneous_impl!(Vector1, Vector2, y, x);
-translate_impl!(Vector1, Point1);
-rotate_impl!(Vector1);
-rotate_impl!(Point1);
-transform_impl!(Vector1, Point1);
-vec_as_point_impl!(Vector1, Point1, x);
-num_float_vec_impl!(Vector1);
-absolute_vec_impl!(Vector1, x);
-arbitrary_impl!(Vector1, x);
-rand_impl!(Vector1, x);
-mean_impl!(Vector1);
-vec_display_impl!(Vector1);
+
+
 
 /// Vector of dimension 2.
 ///
@@ -87,50 +51,14 @@ pub struct Vector2<N> {
     pub y: N
 }
 
-new_impl!(Vector2, x, y);
-pord_impl!(Vector2, x, y);
-vec_axis_impl!(Vector2, x, y);
-vec_cast_impl!(Vector2, x, y);
-conversion_impl!(Vector2, 2);
-index_impl!(Vector2);
-indexable_impl!(Vector2, 2);
-at_fast_impl!(Vector2, 2);
-repeat_impl!(Vector2, val, x, y);
-dim_impl!(Vector2, 2);
-container_impl!(Vector2);
-// (specialized); basis_impl!(Vector2, 1);
-add_impl!(Vector2, x, y);
-sub_impl!(Vector2, x, y);
-mul_impl!(Vector2, x, y);
-div_impl!(Vector2, x, y);
-scalar_add_impl!(Vector2, x, y);
-scalar_sub_impl!(Vector2, x, y);
-scalar_mul_impl!(Vector2, x, y);
-scalar_div_impl!(Vector2, x, y);
-neg_impl!(Vector2, x, y);
-dot_impl!(Vector2, x, y);
-translation_impl!(Vector2);
-norm_impl!(Vector2, x, y);
-approx_eq_impl!(Vector2, x, y);
-zero_one_impl!(Vector2, x, y);
+vector_impl!(Vector2, Point2, x, y);
+vectorlike_impl!(Vector2, 2, x, y);
 from_iterator_impl!(Vector2, iterator, iterator);
-bounded_impl!(Vector2, x, y);
-axpy_impl!(Vector2, x, y);
-iterable_impl!(Vector2, 2);
-iterable_mut_impl!(Vector2, 2);
+// (specialized); basis_impl!(Vector2, 1);
 vec_to_homogeneous_impl!(Vector2, Vector3, z, x, y);
 vec_from_homogeneous_impl!(Vector2, Vector3, z, x, y);
-translate_impl!(Vector2, Point2);
-rotate_impl!(Vector2);
-rotate_impl!(Point2);
-transform_impl!(Vector2, Point2);
-vec_as_point_impl!(Vector2, Point2, x, y);
-num_float_vec_impl!(Vector2);
-absolute_vec_impl!(Vector2, x, y);
-arbitrary_impl!(Vector2, x, y);
-rand_impl!(Vector2, x, y);
-mean_impl!(Vector2);
-vec_display_impl!(Vector2);
+
+
 
 /// Vector of dimension 3.
 ///
@@ -147,50 +75,12 @@ pub struct Vector3<N> {
     pub z: N
 }
 
-new_impl!(Vector3, x, y, z);
-pord_impl!(Vector3, x, y, z);
-vec_axis_impl!(Vector3, x, y, z);
-vec_cast_impl!(Vector3, x, y, z);
-conversion_impl!(Vector3, 3);
-index_impl!(Vector3);
-indexable_impl!(Vector3, 3);
-at_fast_impl!(Vector3, 3);
-repeat_impl!(Vector3, val, x, y, z);
-dim_impl!(Vector3, 3);
-container_impl!(Vector3);
-// (specialized); basis_impl!(Vector3, 1);
-add_impl!(Vector3, x, y, z);
-sub_impl!(Vector3, x, y, z);
-mul_impl!(Vector3, x, y, z);
-div_impl!(Vector3, x, y, z);
-scalar_add_impl!(Vector3, x, y, z);
-scalar_sub_impl!(Vector3, x, y, z);
-scalar_mul_impl!(Vector3, x, y, z);
-scalar_div_impl!(Vector3, x, y, z);
-neg_impl!(Vector3, x, y, z);
-dot_impl!(Vector3, x, y, z);
-translation_impl!(Vector3);
-norm_impl!(Vector3, x, y ,z);
-approx_eq_impl!(Vector3, x, y, z);
-zero_one_impl!(Vector3, x, y, z);
+vector_impl!(Vector3, Point3, x, y, z);
+vectorlike_impl!(Vector3, 3, x, y, z);
 from_iterator_impl!(Vector3, iterator, iterator, iterator);
-bounded_impl!(Vector3, x, y, z);
-axpy_impl!(Vector3, x, y, z);
-iterable_impl!(Vector3, 3);
-iterable_mut_impl!(Vector3, 3);
+// (specialized); basis_impl!(Vector3, 1);
 vec_to_homogeneous_impl!(Vector3, Vector4, w, x, y, z);
 vec_from_homogeneous_impl!(Vector3, Vector4, w, x, y, z);
-translate_impl!(Vector3, Point3);
-rotate_impl!(Vector3);
-rotate_impl!(Point3);
-transform_impl!(Vector3, Point3);
-vec_as_point_impl!(Vector3, Point3, x, y, z);
-num_float_vec_impl!(Vector3);
-absolute_vec_impl!(Vector3, x, y, z);
-arbitrary_impl!(Vector3, x, y, z);
-rand_impl!(Vector3, x, y, z);
-mean_impl!(Vector3);
-vec_display_impl!(Vector3);
 
 
 /// Vector of dimension 4.
@@ -210,50 +100,14 @@ pub struct Vector4<N> {
     pub w: N
 }
 
-new_impl!(Vector4, x, y, z, w);
-pord_impl!(Vector4, x, y, z, w);
-vec_axis_impl!(Vector4, x, y, z, w);
-vec_cast_impl!(Vector4, x, y, z, w);
-conversion_impl!(Vector4, 4);
-index_impl!(Vector4);
-indexable_impl!(Vector4, 4);
-at_fast_impl!(Vector4, 4);
-repeat_impl!(Vector4, val, x, y, z, w);
-dim_impl!(Vector4, 4);
-container_impl!(Vector4);
-basis_impl!(Vector4, 4);
-add_impl!(Vector4, x, y, z, w);
-sub_impl!(Vector4, x, y, z, w);
-mul_impl!(Vector4, x, y, z, w);
-div_impl!(Vector4, x, y, z, w);
-scalar_add_impl!(Vector4, x, y, z, w);
-scalar_sub_impl!(Vector4, x, y, z, w);
-scalar_mul_impl!(Vector4, x, y, z, w);
-scalar_div_impl!(Vector4, x, y, z, w);
-neg_impl!(Vector4, x, y, z, w);
-dot_impl!(Vector4, x, y, z, w);
-translation_impl!(Vector4);
-norm_impl!(Vector4, x, y, z, w);
-approx_eq_impl!(Vector4, x, y, z, w);
-zero_one_impl!(Vector4, x, y, z, w);
+vector_impl!(Vector4, Point4, x, y, z, w);
+vectorlike_impl!(Vector4, 4, x, y, z, w);
 from_iterator_impl!(Vector4, iterator, iterator, iterator, iterator);
-bounded_impl!(Vector4, x, y, z, w);
-axpy_impl!(Vector4, x, y, z, w);
-iterable_impl!(Vector4, 4);
-iterable_mut_impl!(Vector4, 4);
+basis_impl!(Vector4, 4);
 vec_to_homogeneous_impl!(Vector4, Vector5, a, x, y, z, w);
 vec_from_homogeneous_impl!(Vector4, Vector5, a, x, y, z, w);
-translate_impl!(Vector4, Point4);
-rotate_impl!(Vector4);
-rotate_impl!(Point4);
-transform_impl!(Vector4, Point4);
-vec_as_point_impl!(Vector4, Point4, x, y, z, w);
-num_float_vec_impl!(Vector4);
-absolute_vec_impl!(Vector4, x, y, z, w);
-arbitrary_impl!(Vector4, x, y, z, w);
-rand_impl!(Vector4, x, y, z, w);
-mean_impl!(Vector4);
-vec_display_impl!(Vector4);
+
+
 
 /// Vector of dimension 5.
 ///
@@ -274,50 +128,13 @@ pub struct Vector5<N> {
     pub a: N
 }
 
-new_impl!(Vector5, x, y, z, w, a);
-pord_impl!(Vector5, x, y, z, w, a);
-vec_axis_impl!(Vector5, x, y, z, w, a);
-vec_cast_impl!(Vector5, x, y, z, w, a);
-conversion_impl!(Vector5, 5);
-index_impl!(Vector5);
-indexable_impl!(Vector5, 5);
-at_fast_impl!(Vector5, 5);
-repeat_impl!(Vector5, val, x, y, z, w, a);
-dim_impl!(Vector5, 5);
-container_impl!(Vector5);
-basis_impl!(Vector5, 5);
-add_impl!(Vector5, x, y, z, w, a);
-sub_impl!(Vector5, x, y, z, w, a);
-mul_impl!(Vector5, x, y, z, w, a);
-div_impl!(Vector5, x, y, z, w, a);
-scalar_add_impl!(Vector5, x, y, z, w, a);
-scalar_sub_impl!(Vector5, x, y, z, w, a);
-scalar_mul_impl!(Vector5, x, y, z, w, a);
-scalar_div_impl!(Vector5, x, y, z, w, a);
-neg_impl!(Vector5, x, y, z, w, a);
-dot_impl!(Vector5, x, y, z, w, a);
-translation_impl!(Vector5);
-norm_impl!(Vector5, x, y, z, w, a);
-approx_eq_impl!(Vector5, x, y, z, w, a);
-zero_one_impl!(Vector5, x, y, z, w, a);
+vector_impl!(Vector5, Point5, x, y, z, w, a);
+vectorlike_impl!(Vector5, 5, x, y, z, w, a);
 from_iterator_impl!(Vector5, iterator, iterator, iterator, iterator, iterator);
-bounded_impl!(Vector5, x, y, z, w, a);
-axpy_impl!(Vector5, x, y, z, w, a);
-iterable_impl!(Vector5, 5);
-iterable_mut_impl!(Vector5, 5);
+basis_impl!(Vector5, 5);
 vec_to_homogeneous_impl!(Vector5, Vector6, b, x, y, z, w, a);
 vec_from_homogeneous_impl!(Vector5, Vector6, b, x, y, z, w, a);
-translate_impl!(Vector5, Point5);
-rotate_impl!(Vector5);
-rotate_impl!(Point5);
-transform_impl!(Vector5, Point5);
-vec_as_point_impl!(Vector5, Point5, x, y, z, w, a);
-num_float_vec_impl!(Vector5);
-absolute_vec_impl!(Vector5, x, y, z, w, a);
-arbitrary_impl!(Vector5, x, y, z, w, a);
-rand_impl!(Vector5, x, y, z, w, a);
-mean_impl!(Vector5);
-vec_display_impl!(Vector5);
+
 
 /// Vector of dimension 6.
 ///
@@ -340,45 +157,8 @@ pub struct Vector6<N> {
     pub b: N
 }
 
-new_impl!(Vector6, x, y, z, w, a, b);
-pord_impl!(Vector6, x, y, z, w, a, b);
-vec_axis_impl!(Vector6, x, y, z, w, a, b);
-vec_cast_impl!(Vector6, x, y, z, w, a, b);
-conversion_impl!(Vector6, 6);
-index_impl!(Vector6);
-indexable_impl!(Vector6, 6);
-at_fast_impl!(Vector6, 6);
-repeat_impl!(Vector6, val, x, y, z, w, a, b);
-dim_impl!(Vector6, 6);
-container_impl!(Vector6);
-basis_impl!(Vector6, 6);
-add_impl!(Vector6, x, y, z, w, a, b);
-sub_impl!(Vector6, x, y, z, w, a, b);
-mul_impl!(Vector6, x, y, z, w, a, b);
-div_impl!(Vector6, x, y, z, w, a, b);
-scalar_add_impl!(Vector6, x, y, z, w, a, b);
-scalar_sub_impl!(Vector6, x, y, z, w, a, b);
-scalar_mul_impl!(Vector6, x, y, z, w, a, b);
-scalar_div_impl!(Vector6, x, y, z, w, a, b);
-neg_impl!(Vector6, x, y, z, w, a, b);
-dot_impl!(Vector6, x, y, z, w, a, b);
-translation_impl!(Vector6);
-norm_impl!(Vector6, x, y, z, w, a, b);
-approx_eq_impl!(Vector6, x, y, z, w, a, b);
-zero_one_impl!(Vector6, x, y, z, w, a, b);
+vector_impl!(Vector6, Point6, x, y, z, w, a, b);
+vectorlike_impl!(Vector6, 6, x, y, z, w, a, b);
 from_iterator_impl!(Vector6, iterator, iterator, iterator, iterator, iterator, iterator);
-bounded_impl!(Vector6, x, y, z, w, a, b);
-axpy_impl!(Vector6, x, y, z, w, a, b);
-iterable_impl!(Vector6, 6);
-iterable_mut_impl!(Vector6, 6);
-translate_impl!(Vector6, Point6);
-rotate_impl!(Vector6);
-rotate_impl!(Point6);
-transform_impl!(Vector6, Point6);
-vec_as_point_impl!(Vector6, Point6, x, y, z, w, a, b);
-num_float_vec_impl!(Vector6);
-absolute_vec_impl!(Vector6, x, y, z, w, a, b);
-arbitrary_impl!(Vector6, x, y, z, w, a, b);
-rand_impl!(Vector6, x, y, z, w, a, b);
-mean_impl!(Vector6);
-vec_display_impl!(Vector6);
+
+basis_impl!(Vector6, 6);

src/traits/mod.rs

@@ -7,7 +7,7 @@ pub use traits::geometry::{AbsoluteRotate, Cross, CrossMatrix, Dot, FromHomogene
 
 pub use traits::structure::{FloatVector, FloatPoint, Basis, Cast, Column, Dimension, Indexable, Iterable,
                             IterableMut, Matrix, SquareMatrix, Row, NumVector, NumPoint, PointAsVector, ColumnSlice,
-                            RowSlice, Diagonal, DiagMut, Eye, Repeat, Shape, BaseFloat, BaseNum,
+                            RowSlice, Diagonal, DiagonalMut, Eye, Repeat, Shape, BaseFloat, BaseNum,
                             Bounded};
 
 pub use traits::operations::{Absolute, ApproxEq, Axpy, Covariance, Determinant, Inverse, Mean, Outer, PartialOrder, Transpose,

src/traits/operations.rs

@@ -1,7 +1,7 @@
 //! Low level operations on vectors and matrices.
 
 use std::mem;
-use num::{Float, Signed};
+use num::Signed;
 use std::ops::Mul;
 use std::cmp::Ordering;
 use traits::structure::SquareMatrix;

src/traits/structure.rs

@@ -176,7 +176,7 @@ pub trait Diagonal<V> {
 }
 
 /// Trait to set the diagonal of square matrices.
-pub trait DiagMut<V>: Diagonal<V> {
+pub trait DiagonalMut<V>: Diagonal<V> {
     /// Sets the diagonal of this matrix.
     fn set_diagonal(&mut self, diagonal: &V);
 }