Run rustmt.

src/base/alias_slice.rs

@@ -1,6 +1,6 @@
-use base::Matrix;
 use base::dimension::{Dynamic, U1, U2, U3, U4, U5, U6};
 use base::matrix_slice::{SliceStorage, SliceStorageMut};
+use base::Matrix;
 
 /*
  *

src/base/allocator.rs

@@ -2,10 +2,10 @@
 
 use std::any::Any;
 
-use base::{DefaultAllocator, Scalar};
 use base::constraint::{SameNumberOfColumns, SameNumberOfRows, ShapeConstraint};
 use base::dimension::{Dim, U1};
 use base::storage::ContiguousStorageMut;
+use base::{DefaultAllocator, Scalar};
 
 /// A matrix allocator of a memory buffer that may contain `R::to_usize() * C::to_usize()`
 /// elements of type `N`.
@@ -33,8 +33,9 @@ pub trait Allocator<N: Scalar, R: Dim, C: Dim = U1>: Any + Sized {
 
 /// A matrix reallocator. Changes the size of the memory buffer that initially contains (RFrom ×
 /// CFrom) elements to a smaller or larger size (RTo, CTo).
-pub trait Reallocator<N: Scalar, RFrom: Dim, CFrom: Dim, RTo: Dim, CTo: Dim>
+pub trait Reallocator<N: Scalar, RFrom: Dim, CFrom: Dim, RTo: Dim, CTo: Dim>:
-    : Allocator<N, RFrom, CFrom> + Allocator<N, RTo, CTo> {
+    Allocator<N, RFrom, CFrom> + Allocator<N, RTo, CTo>
+{
     /// Reallocates a buffer of shape `(RTo, CTo)`, possibly reusing a previously allocated buffer
     /// `buf`. Data stored by `buf` are linearly copied to the output:
     ///
@@ -57,8 +58,8 @@ pub type SameShapeC<C1, C2> = <ShapeConstraint as SameNumberOfColumns<C1, C2>>::
 
 // FIXME: Bad name.
 /// Restricts the given number of rows and columns to be respectively the same.
-pub trait SameShapeAllocator<N, R1, C1, R2, C2>
+pub trait SameShapeAllocator<N, R1, C1, R2, C2>:
-    : Allocator<N, R1, C1> + Allocator<N, SameShapeR<R1, R2>, SameShapeC<C1, C2>>
+    Allocator<N, R1, C1> + Allocator<N, SameShapeR<R1, R2>, SameShapeC<C1, C2>>
 where
     R1: Dim,
     R2: Dim,
@@ -78,13 +79,12 @@ where
     N: Scalar,
     DefaultAllocator: Allocator<N, R1, C1> + Allocator<N, SameShapeR<R1, R2>, SameShapeC<C1, C2>>,
     ShapeConstraint: SameNumberOfRows<R1, R2> + SameNumberOfColumns<C1, C2>,
-{
+{}
-}
 
 // XXX: Bad name.
 /// Restricts the given number of rows to be equal.
-pub trait SameShapeVectorAllocator<N, R1, R2>
+pub trait SameShapeVectorAllocator<N, R1, R2>:
-    : Allocator<N, R1> + Allocator<N, SameShapeR<R1, R2>> + SameShapeAllocator<N, R1, U1, R2, U1>
+    Allocator<N, R1> + Allocator<N, SameShapeR<R1, R2>> + SameShapeAllocator<N, R1, U1, R2, U1>
 where
     R1: Dim,
     R2: Dim,
@@ -100,5 +100,4 @@ where
     N: Scalar,
     DefaultAllocator: Allocator<N, R1, U1> + Allocator<N, SameShapeR<R1, R2>>,
     ShapeConstraint: SameNumberOfRows<R1, R2>,
-{
+{}
-}

src/base/blas.rs

@@ -14,7 +14,6 @@ use base::storage::{Storage, StorageMut};
 use base::{DefaultAllocator, Matrix, Scalar, SquareMatrix, Vector};
 
 impl<N: Scalar + PartialOrd + Signed, D: Dim, S: Storage<N, D>> Vector<N, D, S> {
-
     /// Computes the index of the vector component with the largest value.
     ///
     /// # Examples:
@@ -685,13 +684,19 @@ where
             // We could use matrixmultiply for large statically-sized matrices but the performance
             // threshold to activate it would be different from SMALL_DIM because our code optimizes
             // better for statically-sized matrices.
-            let is_dynamic = R1::is::<Dynamic>() || C1::is::<Dynamic>() || R2::is::<Dynamic>()
+            let is_dynamic = R1::is::<Dynamic>()
-                || C2::is::<Dynamic>() || R3::is::<Dynamic>()
+                || C1::is::<Dynamic>()
+                || R2::is::<Dynamic>()
+                || C2::is::<Dynamic>()
+                || R3::is::<Dynamic>()
                 || C3::is::<Dynamic>();
             // Threshold determined empirically.
             const SMALL_DIM: usize = 5;
 
-            if is_dynamic && nrows1 > SMALL_DIM && ncols1 > SMALL_DIM && nrows2 > SMALL_DIM
+            if is_dynamic
+                && nrows1 > SMALL_DIM
+                && ncols1 > SMALL_DIM
+                && nrows2 > SMALL_DIM
                 && ncols2 > SMALL_DIM
             {
                 if N::is::<f32>() {

src/base/cg.rs

@@ -7,15 +7,18 @@
 
 use num::One;
 
-use base::{DefaultAllocator, Matrix3, Matrix4, MatrixN, Scalar, SquareMatrix, Unit, Vector,
+use base::allocator::Allocator;
-           Vector3, VectorN};
 use base::dimension::{DimName, DimNameDiff, DimNameSub, U1};
 use base::storage::{Storage, StorageMut};
-use base::allocator::Allocator;
+use base::{
-use geometry::{Isometry, IsometryMatrix3, Orthographic3, Perspective3, Point, Point3, Rotation2,
+    DefaultAllocator, Matrix3, Matrix4, MatrixN, Scalar, SquareMatrix, Unit, Vector, Vector3,
-               Rotation3};
+    VectorN,
+};
+use geometry::{
+    Isometry, IsometryMatrix3, Orthographic3, Perspective3, Point, Point3, Rotation2, Rotation3,
+};
 
-use alga::general::{Ring, Real};
+use alga::general::{Real, Ring};
 use alga::linear::Transformation;
 
 impl<N, D: DimName> MatrixN<N, D>
@@ -302,7 +305,8 @@ impl<N: Scalar + Ring, D: DimName, S: StorageMut<N, D, D>> SquareMatrix<N, D, S>
         SB: Storage<N, DimNameDiff<D, U1>>,
         DefaultAllocator: Allocator<N, DimNameDiff<D, U1>>,
     {
-        let scale = self.fixed_slice::<U1, DimNameDiff<D, U1>>(D::dim() - 1, 0)
+        let scale = self
+            .fixed_slice::<U1, DimNameDiff<D, U1>>(D::dim() - 1, 0)
             .tr_dot(&shift);
         let post_translation =
             self.fixed_slice::<DimNameDiff<D, U1>, DimNameDiff<D, U1>>(0, 0) * shift;
@@ -341,9 +345,8 @@ where
         let transform = self.fixed_slice::<DimNameDiff<D, U1>, DimNameDiff<D, U1>>(0, 0);
         let translation = self.fixed_slice::<DimNameDiff<D, U1>, U1>(0, D::dim() - 1);
         let normalizer = self.fixed_slice::<U1, DimNameDiff<D, U1>>(D::dim() - 1, 0);
-        let n = normalizer.tr_dot(&pt.coords) + unsafe {
+        let n = normalizer.tr_dot(&pt.coords)
-            *self.get_unchecked(D::dim() - 1, D::dim() - 1)
+            + unsafe { *self.get_unchecked(D::dim() - 1, D::dim() - 1) };
-        };
 
         if !n.is_zero() {
             return transform * (pt / n) + translation;

src/base/componentwise.rs

@@ -1,4 +1,4 @@
-// Non-conventional componentwise operators.
+// Non-conventional component-wise operators.
 
 use num::{Signed, Zero};
 use std::ops::{Add, Mul};

src/base/constraint.rs

@@ -8,11 +8,9 @@ pub struct ShapeConstraint;
 /// Constraints `C1` and `R2` to be equivalent.
 pub trait AreMultipliable<R1: Dim, C1: Dim, R2: Dim, C2: Dim>: DimEq<C1, R2> {}
 
-impl<R1: Dim, C1: Dim, R2: Dim, C2: Dim> AreMultipliable<R1, C1, R2, C2> for ShapeConstraint
+impl<R1: Dim, C1: Dim, R2: Dim, C2: Dim> AreMultipliable<R1, C1, R2, C2> for ShapeConstraint where
-where
+    ShapeConstraint: DimEq<C1, R2>
-    ShapeConstraint: DimEq<C1, R2>,
+{}
-{
-}
 
 /// Constraints `D1` and `D2` to be equivalent.
 pub trait DimEq<D1: Dim, D2: Dim> {
@@ -70,8 +68,9 @@ equality_trait_decl!(
 
 /// Constraints D1 and D2 to be equivalent, where they both designate dimensions of algebraic
 /// entities (e.g. square matrices).
-pub trait SameDimension<D1: Dim, D2: Dim>
+pub trait SameDimension<D1: Dim, D2: Dim>:
-    : SameNumberOfRows<D1, D2> + SameNumberOfColumns<D1, D2> {
+    SameNumberOfRows<D1, D2> + SameNumberOfColumns<D1, D2>
+{
     /// This is either equal to `D1` or `D2`, always choosing the one (if any) which is a type-level
     /// constant.
     type Representative: Dim;

src/base/coordinates.rs

@@ -7,9 +7,9 @@
 use std::mem;
 use std::ops::{Deref, DerefMut};
 
-use base::{Matrix, Scalar};
 use base::dimension::{U1, U2, U3, U4, U5, U6};
 use base::storage::{ContiguousStorage, ContiguousStorageMut};
+use base::{Matrix, Scalar};
 
 /*
  *

src/base/dimension.rs

@@ -7,7 +7,7 @@ use std::cmp;
 use std::fmt::Debug;
 use std::ops::{Add, Div, Mul, Sub};
 use typenum::{
-    self, B1, Bit, Diff, Max, Maximum, Min, Minimum, Prod, Quot, Sum, UInt, UTerm, Unsigned,
+    self, Bit, Diff, Max, Maximum, Min, Minimum, Prod, Quot, Sum, UInt, UTerm, Unsigned, B1,
 };
 
 #[cfg(feature = "serde-serialize")]

src/base/edition.rs

@@ -285,7 +285,8 @@ impl<N: Scalar, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> {
             let copied_value_start = i + nremove.value();
 
             unsafe {
-                let ptr_in = m.data
+                let ptr_in = m
+                    .data
                     .ptr()
                     .offset((copied_value_start * nrows.value()) as isize);
                 let ptr_out = m.data.ptr_mut().offset((i * nrows.value()) as isize);
@@ -448,7 +449,8 @@ impl<N: Scalar, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> {
 
         if ninsert.value() != 0 && i != ncols.value() {
             let ptr_in = res.data.ptr().offset((i * nrows.value()) as isize);
-            let ptr_out = res.data
+            let ptr_out = res
+                .data
                 .ptr_mut()
                 .offset(((i + ninsert.value()) * nrows.value()) as isize);
 

src/base/iter.rs

@@ -3,21 +3,20 @@
 use std::marker::PhantomData;
 use std::mem;
 
-use base::Scalar;
 use base::dimension::Dim;
 use base::storage::{Storage, StorageMut};
+use base::Scalar;
 
 macro_rules! iterator {
     (struct $Name:ident for $Storage:ident.$ptr: ident -> $Ptr:ty, $Ref:ty, $SRef: ty) => {
-
         /// An iterator through a dense matrix with arbitrary strides matrix.
         pub struct $Name<'a, N: Scalar, R: Dim, C: Dim, S: 'a + $Storage<N, R, C>> {
-            ptr:       $Ptr,
+            ptr: $Ptr,
             inner_ptr: $Ptr,
             inner_end: $Ptr,
-            size:      usize, // We can't use an end pointer here because a stride might be zero.
+            size: usize, // We can't use an end pointer here because a stride might be zero.
-            strides:   (S::RStride, S::CStride),
+            strides: (S::RStride, S::CStride),
-            _phantoms: PhantomData<($Ref, R, C, S)>
+            _phantoms: PhantomData<($Ref, R, C, S)>,
         }
 
         // FIXME: we need to specialize for the case where the matrix storage is owned (in which
@@ -25,23 +24,25 @@ macro_rules! iterator {
         impl<'a, N: Scalar, R: Dim, C: Dim, S: 'a + $Storage<N, R, C>> $Name<'a, N, R, C, S> {
             /// Creates a new iterator for the given matrix storage.
             pub fn new(storage: $SRef) -> $Name<'a, N, R, C, S> {
-                let shape   = storage.shape();
+                let shape = storage.shape();
                 let strides = storage.strides();
                 let inner_offset = shape.0.value() * strides.0.value();
                 let ptr = storage.$ptr();
 
                 $Name {
-                    ptr:       ptr,
+                    ptr: ptr,
                     inner_ptr: ptr,
                     inner_end: unsafe { ptr.offset(inner_offset as isize) },
-                    size:      shape.0.value() * shape.1.value(),
+                    size: shape.0.value() * shape.1.value(),
-                    strides:   strides,
+                    strides: strides,
-                    _phantoms: PhantomData
+                    _phantoms: PhantomData,
                 }
             }
         }
 
-        impl<'a, N: Scalar, R: Dim, C: Dim, S: 'a + $Storage<N, R, C>> Iterator for $Name<'a, N, R, C, S> {
+        impl<'a, N: Scalar, R: Dim, C: Dim, S: 'a + $Storage<N, R, C>> Iterator
+            for $Name<'a, N, R, C, S>
+        {
             type Item = $Ref;
 
             #[inline]
@@ -82,13 +83,15 @@ macro_rules! iterator {
             }
         }
 
-        impl<'a, N: Scalar, R: Dim, C: Dim, S: 'a + $Storage<N, R, C>> ExactSizeIterator for $Name<'a, N, R, C, S> {
+        impl<'a, N: Scalar, R: Dim, C: Dim, S: 'a + $Storage<N, R, C>> ExactSizeIterator
+            for $Name<'a, N, R, C, S>
+        {
             #[inline]
             fn len(&self) -> usize {
                 self.size
             }
         }
-    }
+    };
 }
 
 iterator!(struct MatrixIter for Storage.ptr -> *const N, &'a N, &'a S);

src/base/matrix_array.rs

@@ -107,8 +107,7 @@ where
     R::Value: Mul<C::Value>,
     Prod<R::Value, C::Value>: ArrayLength<N>,
     GenericArray<N, Prod<R::Value, C::Value>>: Copy,
-{
+{}
-}
 
 impl<N, R, C> Clone for MatrixArray<N, R, C>
 where
@@ -133,8 +132,7 @@ where
     C: DimName,
     R::Value: Mul<C::Value>,
     Prod<R::Value, C::Value>: ArrayLength<N>,
-{
+{}
-}
 
 impl<N, R, C> PartialEq for MatrixArray<N, R, C>
 where
@@ -234,8 +232,7 @@ where
     R::Value: Mul<C::Value>,
     Prod<R::Value, C::Value>: ArrayLength<N>,
     DefaultAllocator: Allocator<N, R, C, Buffer = Self>,
-{
+{}
-}
 
 unsafe impl<N, R, C> ContiguousStorageMut<N, R, C> for MatrixArray<N, R, C>
 where
@@ -245,8 +242,7 @@ where
     R::Value: Mul<C::Value>,
     Prod<R::Value, C::Value>: ArrayLength<N>,
     DefaultAllocator: Allocator<N, R, C, Buffer = Self>,
-{
+{}
-}
 
 /*
  *

src/base/matrix_vec.rs

@@ -211,17 +211,13 @@ where
     }
 }
 
-unsafe impl<N: Scalar, C: Dim> ContiguousStorage<N, Dynamic, C> for MatrixVec<N, Dynamic, C>
+unsafe impl<N: Scalar, C: Dim> ContiguousStorage<N, Dynamic, C> for MatrixVec<N, Dynamic, C> where
-where
+    DefaultAllocator: Allocator<N, Dynamic, C, Buffer = Self>
-    DefaultAllocator: Allocator<N, Dynamic, C, Buffer = Self>,
+{}
-{
-}
 
-unsafe impl<N: Scalar, C: Dim> ContiguousStorageMut<N, Dynamic, C> for MatrixVec<N, Dynamic, C>
+unsafe impl<N: Scalar, C: Dim> ContiguousStorageMut<N, Dynamic, C> for MatrixVec<N, Dynamic, C> where
-where
+    DefaultAllocator: Allocator<N, Dynamic, C, Buffer = Self>
-    DefaultAllocator: Allocator<N, Dynamic, C, Buffer = Self>,
+{}
-{
-}
 
 unsafe impl<N: Scalar, R: DimName> StorageMut<N, R, Dynamic> for MatrixVec<N, R, Dynamic>
 where
@@ -253,14 +249,10 @@ impl<N: Abomonation, R: Dim, C: Dim> Abomonation for MatrixVec<N, R, C> {
     }
 }
 
-unsafe impl<N: Scalar, R: DimName> ContiguousStorage<N, R, Dynamic> for MatrixVec<N, R, Dynamic>
+unsafe impl<N: Scalar, R: DimName> ContiguousStorage<N, R, Dynamic> for MatrixVec<N, R, Dynamic> where
-where
+    DefaultAllocator: Allocator<N, R, Dynamic, Buffer = Self>
-    DefaultAllocator: Allocator<N, R, Dynamic, Buffer = Self>,
+{}
-{
-}
 
-unsafe impl<N: Scalar, R: DimName> ContiguousStorageMut<N, R, Dynamic> for MatrixVec<N, R, Dynamic>
+unsafe impl<N: Scalar, R: DimName> ContiguousStorageMut<N, R, Dynamic> for MatrixVec<N, R, Dynamic> where
-where
+    DefaultAllocator: Allocator<N, R, Dynamic, Buffer = Self>
-    DefaultAllocator: Allocator<N, R, Dynamic, Buffer = Self>,
+{}
-{
-}

src/base/mod.rs

@@ -12,7 +12,6 @@ pub mod storage;
 
 mod alias;
 mod alias_slice;
-mod swizzle;
 mod cg;
 mod componentwise;
 mod construction;
@@ -27,6 +26,7 @@ mod matrix_slice;
 mod matrix_vec;
 mod properties;
 mod scalar;
+mod swizzle;
 mod unit;
 
 #[doc(hidden)]

src/base/ops.rs

@@ -1,17 +1,19 @@
-use std::iter;
-use std::ops::{Add, AddAssign, Div, DivAssign, Index, IndexMut, Mul, MulAssign, Neg, Sub,
-               SubAssign};
-use std::cmp::PartialOrd;
 use num::{One, Signed, Zero};
+use std::cmp::PartialOrd;
+use std::iter;
+use std::ops::{
+    Add, AddAssign, Div, DivAssign, Index, IndexMut, Mul, MulAssign, Neg, Sub, SubAssign,
+};
 
 use alga::general::{ClosedAdd, ClosedDiv, ClosedMul, ClosedNeg, ClosedSub};
 
-use base::{DefaultAllocator, Matrix, MatrixMN, MatrixN, MatrixSum, Scalar};
-use base::dimension::{Dim, DimMul, DimName, DimProd};
-use base::constraint::{AreMultipliable, DimEq, SameNumberOfColumns, SameNumberOfRows,
-                       ShapeConstraint};
-use base::storage::{ContiguousStorageMut, Storage, StorageMut};
 use base::allocator::{Allocator, SameShapeAllocator, SameShapeC, SameShapeR};
+use base::constraint::{
+    AreMultipliable, DimEq, SameNumberOfColumns, SameNumberOfRows, ShapeConstraint,
+};
+use base::dimension::{Dim, DimMul, DimName, DimProd};
+use base::storage::{ContiguousStorageMut, Storage, StorageMut};
+use base::{DefaultAllocator, Matrix, MatrixMN, MatrixN, MatrixSum, Scalar};
 
 /*
  *
@@ -783,7 +785,8 @@ impl<N: Scalar + PartialOrd + Signed, R: Dim, C: Dim, S: Storage<N, R, C>> Matri
     #[inline]
     pub fn amin(&self) -> N {
         let mut it = self.iter();
-        let mut min = it.next()
+        let mut min = it
+            .next()
             .expect("amin: empty matrices not supported.")
             .abs();
 

src/base/scalar.rs

@@ -1,6 +1,6 @@
+use std::any::Any;
 use std::any::TypeId;
 use std::fmt::Debug;
-use std::any::Any;
 
 /// The basic scalar type for all structures of `nalgebra`.
 ///

src/base/storage.rs

@@ -3,10 +3,10 @@
 use std::fmt::Debug;
 use std::mem;
 
-use base::Scalar;
+use base::allocator::{Allocator, SameShapeC, SameShapeR};
 use base::default_allocator::DefaultAllocator;
 use base::dimension::{Dim, U1};
-use base::allocator::{Allocator, SameShapeC, SameShapeR};
+use base::Scalar;
 
 /*
  * Aliases for allocation results.
@@ -177,8 +177,9 @@ pub unsafe trait StorageMut<N: Scalar, R: Dim, C: Dim = U1>: Storage<N, R, C> {
 /// The storage requirement means that for any value of `i` in `[0, nrows * ncols[`, the value
 /// `.get_unchecked_linear` returns one of the matrix component. This trait is unsafe because
 /// failing to comply to this may cause Undefined Behaviors.
-pub unsafe trait ContiguousStorage<N: Scalar, R: Dim, C: Dim = U1>
+pub unsafe trait ContiguousStorage<N: Scalar, R: Dim, C: Dim = U1>:
-    : Storage<N, R, C> {
+    Storage<N, R, C>
+{
 }
 
 /// A mutable matrix storage that is stored contiguously in memory.
@@ -186,6 +187,7 @@ pub unsafe trait ContiguousStorage<N: Scalar, R: Dim, C: Dim = U1>
 /// The storage requirement means that for any value of `i` in `[0, nrows * ncols[`, the value
 /// `.get_unchecked_linear` returns one of the matrix component. This trait is unsafe because
 /// failing to comply to this may cause Undefined Behaviors.
-pub unsafe trait ContiguousStorageMut<N: Scalar, R: Dim, C: Dim = U1>
+pub unsafe trait ContiguousStorageMut<N: Scalar, R: Dim, C: Dim = U1>:
-    : ContiguousStorage<N, R, C> + StorageMut<N, R, C> {
+    ContiguousStorage<N, R, C> + StorageMut<N, R, C>
+{
 }

src/base/swizzle.rs

@@ -1,8 +1,7 @@
-use base::{Scalar, Vector, DimName, Vector2, Vector3};
+use base::{DimName, Scalar, Vector, Vector2, Vector3};
 use storage::Storage;
 use typenum::{self, Cmp, Greater};
 
-
 macro_rules! impl_swizzle {
     ($(where $BaseDim: ident: $name: ident() -> $Result: ident[$($i: expr),*]);*) => {
         $(
@@ -64,4 +63,4 @@ impl_swizzle!(
     where U2: zzx() -> Vector3[2, 2, 0];
     where U2: zzy() -> Vector3[2, 2, 1];
     where U2: zzz() -> Vector3[2, 2, 2]
-);
+);

src/geometry/isometry.rs

@@ -6,7 +6,7 @@ use std::io::{Result as IOResult, Write};
 use std::marker::PhantomData;
 
 #[cfg(feature = "serde-serialize")]
-use serde::{Serialize, Deserialize};
+use serde::{Deserialize, Serialize};
 
 #[cfg(feature = "abomonation-serialize")]
 use abomonation::Abomonation;
@@ -26,23 +26,19 @@ use geometry::{Point, Translation};
 #[cfg_attr(feature = "serde-serialize", derive(Serialize, Deserialize))]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        serialize = "R: Serialize,
-            serialize = "R: Serialize,
                      DefaultAllocator: Allocator<N, D>,
                      Owned<N, D>: Serialize"
-        )
+    ))
-    )
 )]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        deserialize = "R: Deserialize<'de>,
-            deserialize = "R: Deserialize<'de>,
                        DefaultAllocator: Allocator<N, D>,
                        Owned<N, D>: Deserialize<'de>"
-        )
+    ))
-    )
 )]
 pub struct Isometry<N: Real, D: DimName, R>
 where
@@ -54,7 +50,10 @@ where
     pub translation: Translation<N, D>,
 
     // One dummy private field just to prevent explicit construction.
-    #[cfg_attr(feature = "serde-serialize", serde(skip_serializing, skip_deserializing))]
+    #[cfg_attr(
+        feature = "serde-serialize",
+        serde(skip_serializing, skip_deserializing)
+    )]
     _noconstruct: PhantomData<N>,
 }
 
@@ -98,8 +97,7 @@ impl<N: Real, D: DimName + Copy, R: Rotation<Point<N, D>> + Copy> Copy for Isome
 where
     DefaultAllocator: Allocator<N, D>,
     Owned<N, D>: Copy,
-{
+{}
-}
 
 impl<N: Real, D: DimName, R: Rotation<Point<N, D>> + Clone> Clone for Isometry<N, D, R>
 where
@@ -200,8 +198,7 @@ impl<N: Real, D: DimName, R> Eq for Isometry<N, D, R>
 where
     R: Rotation<Point<N, D>> + Eq,
     DefaultAllocator: Allocator<N, D>,
-{
+{}
-}
 
 impl<N: Real, D: DimName, R> PartialEq for Isometry<N, D, R>
 where

src/geometry/isometry_alga.rs

@@ -1,9 +1,12 @@
-use alga::general::{AbstractGroup, AbstractLoop, AbstractMagma, AbstractMonoid,
+use alga::general::{
-                    AbstractQuasigroup, AbstractSemigroup, Id, Identity, Inverse, Multiplicative,
+    AbstractGroup, AbstractLoop, AbstractMagma, AbstractMonoid, AbstractQuasigroup,
-                    Real};
+    AbstractSemigroup, Id, Identity, Inverse, Multiplicative, Real,
+};
 use alga::linear::Isometry as AlgaIsometry;
-use alga::linear::{AffineTransformation, DirectIsometry, ProjectiveTransformation, Rotation,
+use alga::linear::{
-                   Similarity, Transformation};
+    AffineTransformation, DirectIsometry, ProjectiveTransformation, Rotation, Similarity,
+    Transformation,
+};
 
 use base::allocator::Allocator;
 use base::dimension::DimName;

src/geometry/mod.rs

@@ -4,61 +4,61 @@
 mod op_macros;
 
 mod point;
-mod point_construction;
-mod point_alias;
-mod point_ops;
 mod point_alga;
+mod point_alias;
+mod point_construction;
 mod point_conversion;
 mod point_coordinates;
+mod point_ops;
 
 mod rotation;
-mod rotation_construction;
-mod rotation_ops;
 mod rotation_alga; // FIXME: implement Rotation methods.
-mod rotation_conversion;
 mod rotation_alias;
+mod rotation_construction;
+mod rotation_conversion;
+mod rotation_ops;
 mod rotation_specialization;
 
 mod quaternion;
-mod quaternion_construction;
-mod quaternion_ops;
 mod quaternion_alga;
+mod quaternion_construction;
 mod quaternion_conversion;
 mod quaternion_coordinates;
+mod quaternion_ops;
 
 mod unit_complex;
-mod unit_complex_construction;
-mod unit_complex_ops;
 mod unit_complex_alga;
+mod unit_complex_construction;
 mod unit_complex_conversion;
+mod unit_complex_ops;
 
 mod translation;
-mod translation_construction;
-mod translation_ops;
 mod translation_alga;
-mod translation_conversion;
 mod translation_alias;
+mod translation_construction;
+mod translation_conversion;
+mod translation_ops;
 
 mod isometry;
-mod isometry_construction;
-mod isometry_ops;
 mod isometry_alga;
-mod isometry_conversion;
 mod isometry_alias;
+mod isometry_construction;
+mod isometry_conversion;
+mod isometry_ops;
 
 mod similarity;
-mod similarity_construction;
-mod similarity_ops;
 mod similarity_alga;
-mod similarity_conversion;
 mod similarity_alias;
+mod similarity_construction;
+mod similarity_conversion;
+mod similarity_ops;
 
 mod transform;
-mod transform_construction;
-mod transform_ops;
 mod transform_alga;
-mod transform_conversion;
 mod transform_alias;
+mod transform_construction;
+mod transform_conversion;
+mod transform_ops;
 
 mod reflection;
 

src/geometry/point.rs

@@ -7,7 +7,7 @@ use std::hash;
 use std::io::{Result as IOResult, Write};
 
 #[cfg(feature = "serde-serialize")]
-use serde::{Serialize, Deserialize, Serializer, Deserializer};
+use serde::{Deserialize, Deserializer, Serialize, Serializer};
 
 #[cfg(feature = "abomonation-serialize")]
 use abomonation::Abomonation;
@@ -42,8 +42,7 @@ impl<N: Scalar, D: DimName> Copy for Point<N, D>
 where
     DefaultAllocator: Allocator<N, D>,
     <DefaultAllocator as Allocator<N, D>>::Buffer: Copy,
-{
+{}
-}
 
 impl<N: Scalar, D: DimName> Clone for Point<N, D>
 where
@@ -241,11 +240,7 @@ where
     }
 }
 
-impl<N: Scalar + Eq, D: DimName> Eq for Point<N, D>
+impl<N: Scalar + Eq, D: DimName> Eq for Point<N, D> where DefaultAllocator: Allocator<N, D> {}
-where
-    DefaultAllocator: Allocator<N, D>,
-{
-}
 
 impl<N: Scalar, D: DimName> PartialEq for Point<N, D>
 where

src/geometry/point_alga.rs

@@ -1,9 +1,9 @@
 use alga::general::{Field, JoinSemilattice, Lattice, MeetSemilattice, Real};
 use alga::linear::{AffineSpace, EuclideanSpace};
 
-use base::{DefaultAllocator, Scalar, VectorN};
-use base::dimension::DimName;
 use base::allocator::Allocator;
+use base::dimension::DimName;
+use base::{DefaultAllocator, Scalar, VectorN};
 
 use geometry::Point;
 

src/geometry/quaternion.rs

@@ -8,7 +8,7 @@ use std::io::{Result as IOResult, Write};
 #[cfg(feature = "serde-serialize")]
 use base::storage::Owned;
 #[cfg(feature = "serde-serialize")]
-use serde::{Serialize, Deserialize, Serializer, Deserializer};
+use serde::{Deserialize, Deserializer, Serialize, Serializer};
 
 #[cfg(feature = "abomonation-serialize")]
 use abomonation::Abomonation;
@@ -457,9 +457,11 @@ impl<N: Real> UnitQuaternion<N> {
     /// is not well-defined).
     #[inline]
     pub fn slerp(&self, other: &UnitQuaternion<N>, t: N) -> UnitQuaternion<N> {
-        Unit::new_unchecked(
+        Unit::new_unchecked(Quaternion::from_vector(
-            Quaternion::from_vector(Unit::new_unchecked(self.coords).slerp(&Unit::new_unchecked(other.coords), t).unwrap())
+            Unit::new_unchecked(self.coords)
-        )
+                .slerp(&Unit::new_unchecked(other.coords), t)
+                .unwrap(),
+        ))
     }
 
     /// Computes the spherical linear interpolation between two unit quaternions or returns `None`
@@ -479,7 +481,8 @@ impl<N: Real> UnitQuaternion<N> {
         t: N,
         epsilon: N,
     ) -> Option<UnitQuaternion<N>> {
-        Unit::new_unchecked(self.coords).try_slerp(&Unit::new_unchecked(other.coords), t, epsilon)
+        Unit::new_unchecked(self.coords)
+            .try_slerp(&Unit::new_unchecked(other.coords), t, epsilon)
             .map(|q| Unit::new_unchecked(Quaternion::from_vector(q.unwrap())))
     }
 

src/geometry/quaternion_alga.rs

@@ -1,11 +1,15 @@
 use num::Zero;
 
-use alga::general::{AbstractGroup, AbstractGroupAbelian, AbstractLoop, AbstractMagma,
+use alga::general::{
-                    AbstractModule, AbstractMonoid, AbstractQuasigroup, AbstractSemigroup,
+    AbstractGroup, AbstractGroupAbelian, AbstractLoop, AbstractMagma, AbstractModule,
-                    Additive, Id, Identity, Inverse, Module, Multiplicative, Real};
+    AbstractMonoid, AbstractQuasigroup, AbstractSemigroup, Additive, Id, Identity, Inverse, Module,
-use alga::linear::{AffineTransformation, DirectIsometry, FiniteDimVectorSpace, Isometry,
+    Multiplicative, Real,
-                   NormedSpace, OrthogonalTransformation, ProjectiveTransformation, Rotation,
+};
-                   Similarity, Transformation, VectorSpace};
+use alga::linear::{
+    AffineTransformation, DirectIsometry, FiniteDimVectorSpace, Isometry, NormedSpace,
+    OrthogonalTransformation, ProjectiveTransformation, Rotation, Similarity, Transformation,
+    VectorSpace,
+};
 
 use base::{Vector3, Vector4};
 use geometry::{Point3, Quaternion, UnitQuaternion};

src/geometry/quaternion_ops.rs

@@ -50,15 +50,16 @@
  *
  */
 
-use std::ops::{Add, AddAssign, Div, DivAssign, Index, IndexMut, Mul, MulAssign, Neg, Sub,
+use std::ops::{
-               SubAssign};
+    Add, AddAssign, Div, DivAssign, Index, IndexMut, Mul, MulAssign, Neg, Sub, SubAssign,
+};
 
 use alga::general::Real;
 
-use base::{DefaultAllocator, Unit, Vector, Vector3};
-use base::storage::Storage;
 use base::allocator::Allocator;
 use base::dimension::{U1, U3, U4};
+use base::storage::Storage;
+use base::{DefaultAllocator, Unit, Vector, Vector3};
 
 use geometry::{Point3, Quaternion, Rotation, UnitQuaternion};
 

src/geometry/rotation.rs

@@ -6,7 +6,7 @@ use std::hash;
 use std::io::{Result as IOResult, Write};
 
 #[cfg(feature = "serde-serialize")]
-use serde::{Serialize, Deserialize, Serializer, Deserializer};
+use serde::{Deserialize, Deserializer, Serialize, Serializer};
 
 #[cfg(feature = "serde-serialize")]
 use base::storage::Owned;
@@ -44,8 +44,7 @@ impl<N: Scalar, D: DimName> Copy for Rotation<N, D>
 where
     DefaultAllocator: Allocator<N, D, D>,
     <DefaultAllocator as Allocator<N, D, D>>::Buffer: Copy,
-{
+{}
-}
 
 impl<N: Scalar, D: DimName> Clone for Rotation<N, D>
 where
@@ -187,11 +186,7 @@ where
     }
 }
 
-impl<N: Scalar + Eq, D: DimName> Eq for Rotation<N, D>
+impl<N: Scalar + Eq, D: DimName> Eq for Rotation<N, D> where DefaultAllocator: Allocator<N, D, D> {}
-where
-    DefaultAllocator: Allocator<N, D, D>,
-{
-}
 
 impl<N: Scalar + PartialEq, D: DimName> PartialEq for Rotation<N, D>
 where

src/geometry/rotation_alga.rs

@@ -1,12 +1,15 @@
-use alga::general::{AbstractGroup, AbstractLoop, AbstractMagma, AbstractMonoid,
+use alga::general::{
-                    AbstractQuasigroup, AbstractSemigroup, Id, Identity, Inverse, Multiplicative,
+    AbstractGroup, AbstractLoop, AbstractMagma, AbstractMonoid, AbstractQuasigroup,
-                    Real};
+    AbstractSemigroup, Id, Identity, Inverse, Multiplicative, Real,
-use alga::linear::{self, AffineTransformation, DirectIsometry, Isometry, OrthogonalTransformation,
+};
-                   ProjectiveTransformation, Similarity, Transformation};
+use alga::linear::{
+    self, AffineTransformation, DirectIsometry, Isometry, OrthogonalTransformation,
+    ProjectiveTransformation, Similarity, Transformation,
+};
 
-use base::{DefaultAllocator, VectorN};
-use base::dimension::DimName;
 use base::allocator::Allocator;
+use base::dimension::DimName;
+use base::{DefaultAllocator, VectorN};
 
 use geometry::{Point, Rotation};
 

src/geometry/rotation_construction.rs

@@ -2,9 +2,9 @@ use num::{One, Zero};
 
 use alga::general::{ClosedAdd, ClosedMul};
 
-use base::{DefaultAllocator, MatrixN, Scalar};
-use base::dimension::DimName;
 use base::allocator::Allocator;
+use base::dimension::DimName;
+use base::{DefaultAllocator, MatrixN, Scalar};
 
 use geometry::Rotation;
 

src/geometry/rotation_ops.rs

@@ -17,16 +17,16 @@
  * Matrix   ×= Rotation
  */
 
-use std::ops::{Div, DivAssign, Index, Mul, MulAssign};
 use num::{One, Zero};
+use std::ops::{Div, DivAssign, Index, Mul, MulAssign};
 
 use alga::general::{ClosedAdd, ClosedMul};
 
-use base::{DefaultAllocator, Matrix, MatrixMN, Scalar, Unit, Vector, VectorN};
-use base::dimension::{Dim, DimName, U1};
-use base::constraint::{AreMultipliable, ShapeConstraint};
-use base::storage::Storage;
 use base::allocator::Allocator;
+use base::constraint::{AreMultipliable, ShapeConstraint};
+use base::dimension::{Dim, DimName, U1};
+use base::storage::Storage;
+use base::{DefaultAllocator, Matrix, MatrixMN, Scalar, Unit, Vector, VectorN};
 
 use geometry::{Point, Rotation};
 

src/geometry/rotation_specialization.rs

@@ -5,7 +5,7 @@ use quickcheck::{Arbitrary, Gen};
 
 use alga::general::Real;
 use num::Zero;
-use rand::distributions::{Distribution, Standard, OpenClosed01};
+use rand::distributions::{Distribution, OpenClosed01, Standard};
 use rand::Rng;
 use std::ops::Neg;
 
@@ -329,7 +329,7 @@ impl<N: Real> Rotation3<N> {
     pub fn angle(&self) -> N {
         ((self.matrix()[(0, 0)] + self.matrix()[(1, 1)] + self.matrix()[(2, 2)] - N::one())
             / ::convert(2.0))
-            .acos()
+        .acos()
     }
 
     /// The rotation axis. Returns `None` if the rotation angle is zero or PI.
@@ -398,9 +398,15 @@ where
         let theta = N::two_pi() * rng.sample(OpenClosed01);
         let (ts, tc) = theta.sin_cos();
         let a = MatrixN::<N, U3>::new(
-            tc, ts, N::zero(),
+            tc,
-            -ts, tc, N::zero(),
+            ts,
-            N::zero(), N::zero(), N::one()
+            N::zero(),
+            -ts,
+            tc,
+            N::zero(),
+            N::zero(),
+            N::zero(),
+            N::one(),
         );
 
         // Compute a random rotation *of* Z

src/geometry/similarity.rs

@@ -5,7 +5,7 @@ use std::hash;
 use std::io::{Result as IOResult, Write};
 
 #[cfg(feature = "serde-serialize")]
-use serde::{Serialize, Deserialize};
+use serde::{Deserialize, Serialize};
 
 #[cfg(feature = "abomonation-serialize")]
 use abomonation::Abomonation;
@@ -25,25 +25,21 @@ use geometry::{Isometry, Point, Translation};
 #[cfg_attr(feature = "serde-serialize", derive(Serialize, Deserialize))]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        serialize = "N: Serialize,
-            serialize = "N: Serialize,
                      R: Serialize,
                      DefaultAllocator: Allocator<N, D>,
                      Owned<N, D>: Serialize"
-        )
+    ))
-    )
 )]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        deserialize = "N: Deserialize<'de>,
-            deserialize = "N: Deserialize<'de>,
                        R: Deserialize<'de>,
                        DefaultAllocator: Allocator<N, D>,
                        Owned<N, D>: Deserialize<'de>"
-        )
+    ))
-    )
 )]
 pub struct Similarity<N: Real, D: DimName, R>
 where
@@ -89,8 +85,7 @@ impl<N: Real, D: DimName + Copy, R: Rotation<Point<N, D>> + Copy> Copy for Simil
 where
     DefaultAllocator: Allocator<N, D>,
     Owned<N, D>: Copy,
-{
+{}
-}
 
 impl<N: Real, D: DimName, R: Rotation<Point<N, D>> + Clone> Clone for Similarity<N, D, R>
 where
@@ -276,8 +271,7 @@ impl<N: Real, D: DimName, R> Eq for Similarity<N, D, R>
 where
     R: Rotation<Point<N, D>> + Eq,
     DefaultAllocator: Allocator<N, D>,
-{
+{}
-}
 
 impl<N: Real, D: DimName, R> PartialEq for Similarity<N, D, R>
 where

src/geometry/similarity_alga.rs

@@ -1,11 +1,13 @@
-use alga::general::{AbstractGroup, AbstractLoop, AbstractMagma, AbstractMonoid,
+use alga::general::{
-                    AbstractQuasigroup, AbstractSemigroup, Identity, Inverse, Multiplicative, Real};
+    AbstractGroup, AbstractLoop, AbstractMagma, AbstractMonoid, AbstractQuasigroup,
-use alga::linear::{AffineTransformation, ProjectiveTransformation, Rotation, Transformation};
+    AbstractSemigroup, Identity, Inverse, Multiplicative, Real,
+};
 use alga::linear::Similarity as AlgaSimilarity;
+use alga::linear::{AffineTransformation, ProjectiveTransformation, Rotation, Transformation};
 
-use base::{DefaultAllocator, VectorN};
-use base::dimension::DimName;
 use base::allocator::Allocator;
+use base::dimension::DimName;
+use base::{DefaultAllocator, VectorN};
 
 use geometry::{Point, Similarity, Translation};
 

src/geometry/similarity_ops.rs

@@ -3,9 +3,9 @@ use std::ops::{Div, DivAssign, Mul, MulAssign};
 use alga::general::Real;
 use alga::linear::Rotation as AlgaRotation;
 
-use base::{DefaultAllocator, VectorN};
-use base::dimension::{DimName, U1, U3, U4};
 use base::allocator::Allocator;
+use base::dimension::{DimName, U1, U3, U4};
+use base::{DefaultAllocator, VectorN};
 
 use geometry::{Isometry, Point, Rotation, Similarity, Translation, UnitQuaternion};
 

src/geometry/transform.rs

@@ -3,14 +3,14 @@ use std::fmt::Debug;
 use std::marker::PhantomData;
 
 #[cfg(feature = "serde-serialize")]
-use serde::{Serialize, Deserialize, Serializer, Deserializer};
+use serde::{Deserialize, Deserializer, Serialize, Serializer};
 
 use alga::general::Real;
 
-use base::{DefaultAllocator, MatrixN};
+use base::allocator::Allocator;
 use base::dimension::{DimName, DimNameAdd, DimNameSum, U1};
 use base::storage::Owned;
-use base::allocator::Allocator;
+use base::{DefaultAllocator, MatrixN};
 
 /// Trait implemented by phantom types identifying the projective transformation type.
 ///
@@ -56,18 +56,15 @@ where
 
 /// Tag representing the most general (not necessarily inversible) `Transform` type.
 #[derive(Debug, Copy, Clone, Hash, PartialEq, Eq)]
-pub enum TGeneral {
+pub enum TGeneral {}
-}
 
 /// Tag representing the most general inversible `Transform` type.
 #[derive(Debug, Copy, Clone, Hash, PartialEq, Eq)]
-pub enum TProjective {
+pub enum TProjective {}
-}
 
 /// Tag representing an affine `Transform`. Its bottom-row is equal to `(0, 0 ... 0, 1)`.
 #[derive(Debug, Copy, Clone, Hash, PartialEq, Eq)]
-pub enum TAffine {
+pub enum TAffine {}
-}
 
 impl TCategory for TGeneral {
     #[inline]
@@ -104,7 +101,8 @@ impl TCategory for TAffine {
         DefaultAllocator: Allocator<N, D, D>,
     {
         let last = D::dim() - 1;
-        mat.is_invertible() && mat[(last, last)] == N::one()
+        mat.is_invertible()
+            && mat[(last, last)] == N::one()
             && (0..last).all(|i| mat[(last, i)].is_zero())
     }
 }
@@ -177,8 +175,7 @@ impl<N: Real, D: DimNameAdd<U1> + Copy, C: TCategory> Copy for Transform<N, D, C
 where
     DefaultAllocator: Allocator<N, DimNameSum<D, U1>, DimNameSum<D, U1>>,
     Owned<N, DimNameSum<D, U1>, DimNameSum<D, U1>>: Copy,
-{
+{}
-}
 
 impl<N: Real, D: DimNameAdd<U1>, C: TCategory> Clone for Transform<N, D, C>
 where
@@ -220,11 +217,9 @@ where
     }
 }
 
-impl<N: Real + Eq, D: DimNameAdd<U1>, C: TCategory> Eq for Transform<N, D, C>
+impl<N: Real + Eq, D: DimNameAdd<U1>, C: TCategory> Eq for Transform<N, D, C> where
-where
+    DefaultAllocator: Allocator<N, DimNameSum<D, U1>, DimNameSum<D, U1>>
-    DefaultAllocator: Allocator<N, DimNameSum<D, U1>, DimNameSum<D, U1>>,
+{}
-{
-}
 
 impl<N: Real, D: DimNameAdd<U1>, C: TCategory> PartialEq for Transform<N, D, C>
 where

src/geometry/transform_alga.rs

@@ -1,10 +1,12 @@
-use alga::general::{AbstractGroup, AbstractLoop, AbstractMagma, AbstractMonoid,
+use alga::general::{
-                    AbstractQuasigroup, AbstractSemigroup, Identity, Inverse, Multiplicative, Real};
+    AbstractGroup, AbstractLoop, AbstractMagma, AbstractMonoid, AbstractQuasigroup,
+    AbstractSemigroup, Identity, Inverse, Multiplicative, Real,
+};
 use alga::linear::{ProjectiveTransformation, Transformation};
 
-use base::{DefaultAllocator, VectorN};
-use base::dimension::{DimNameAdd, DimNameSum, U1};
 use base::allocator::Allocator;
+use base::dimension::{DimNameAdd, DimNameSum, U1};
+use base::{DefaultAllocator, VectorN};
 
 use geometry::{Point, SubTCategoryOf, TCategory, TProjective, Transform};
 

src/geometry/transform_construction.rs

@@ -2,9 +2,9 @@ use num::One;
 
 use alga::general::Real;
 
-use base::{DefaultAllocator, MatrixN};
-use base::dimension::{DimNameAdd, DimNameSum, U1};
 use base::allocator::Allocator;
+use base::dimension::{DimNameAdd, DimNameSum, U1};
+use base::{DefaultAllocator, MatrixN};
 
 use geometry::{TCategory, Transform};
 

src/geometry/transform_ops.rs

@@ -3,13 +3,14 @@ use std::ops::{Div, DivAssign, Index, IndexMut, Mul, MulAssign};
 
 use alga::general::{ClosedAdd, ClosedMul, Real, SubsetOf};
 
-use base::{DefaultAllocator, MatrixN, Scalar, VectorN};
 use base::allocator::Allocator;
 use base::dimension::{DimName, DimNameAdd, DimNameSum, U1, U3, U4};
+use base::{DefaultAllocator, MatrixN, Scalar, VectorN};
 
-use geometry::{Isometry, Point, Rotation, Similarity, SubTCategoryOf, SuperTCategoryOf, TAffine,
+use geometry::{
-               TCategory, TCategoryMul, TGeneral, TProjective, Transform, Translation,
+    Isometry, Point, Rotation, Similarity, SubTCategoryOf, SuperTCategoryOf, TAffine, TCategory,
-               UnitQuaternion};
+    TCategoryMul, TGeneral, TProjective, Transform, Translation, UnitQuaternion,
+};
 
 /*
  *

src/geometry/translation.rs

@@ -6,7 +6,7 @@ use std::hash;
 use std::io::{Result as IOResult, Write};
 
 #[cfg(feature = "serde-serialize")]
-use serde::{Serialize, Deserialize, Serializer, Deserializer};
+use serde::{Deserialize, Deserializer, Serialize, Serializer};
 
 #[cfg(feature = "abomonation-serialize")]
 use abomonation::Abomonation;
@@ -44,8 +44,7 @@ impl<N: Scalar, D: DimName> Copy for Translation<N, D>
 where
     DefaultAllocator: Allocator<N, D>,
     Owned<N, D>: Copy,
-{
+{}
-}
 
 impl<N: Scalar, D: DimName> Clone for Translation<N, D>
 where
@@ -153,11 +152,7 @@ where
     }
 }
 
-impl<N: Scalar + Eq, D: DimName> Eq for Translation<N, D>
+impl<N: Scalar + Eq, D: DimName> Eq for Translation<N, D> where DefaultAllocator: Allocator<N, D> {}
-where
-    DefaultAllocator: Allocator<N, D>,
-{
-}
 
 impl<N: Scalar + PartialEq, D: DimName> PartialEq for Translation<N, D>
 where

src/geometry/translation_alga.rs

@@ -1,13 +1,16 @@
-use alga::general::{AbstractGroup, AbstractLoop, AbstractMagma, AbstractMonoid,
+use alga::general::{
-                    AbstractQuasigroup, AbstractSemigroup, Id, Identity, Inverse, Multiplicative,
+    AbstractGroup, AbstractLoop, AbstractMagma, AbstractMonoid, AbstractQuasigroup,
-                    Real};
+    AbstractSemigroup, Id, Identity, Inverse, Multiplicative, Real,
-use alga::linear::{AffineTransformation, DirectIsometry, Isometry, ProjectiveTransformation,
+};
-                   Similarity, Transformation};
 use alga::linear::Translation as AlgaTranslation;
+use alga::linear::{
+    AffineTransformation, DirectIsometry, Isometry, ProjectiveTransformation, Similarity,
+    Transformation,
+};
 
-use base::{DefaultAllocator, VectorN};
-use base::dimension::DimName;
 use base::allocator::Allocator;
+use base::dimension::DimName;
+use base::{DefaultAllocator, VectorN};
 
 use geometry::{Point, Translation};
 

src/geometry/translation_ops.rs

@@ -2,10 +2,10 @@ use std::ops::{Div, DivAssign, Mul, MulAssign};
 
 use alga::general::{ClosedAdd, ClosedSub};
 
-use base::{DefaultAllocator, Scalar};
-use base::dimension::{DimName, U1};
-use base::constraint::{SameNumberOfColumns, SameNumberOfRows, ShapeConstraint};
 use base::allocator::{Allocator, SameShapeAllocator};
+use base::constraint::{SameNumberOfColumns, SameNumberOfRows, ShapeConstraint};
+use base::dimension::{DimName, U1};
+use base::{DefaultAllocator, Scalar};
 
 use geometry::{Point, Translation};
 

src/geometry/unit_complex_alga.rs

@@ -1,12 +1,15 @@
-use alga::general::{AbstractGroup, AbstractLoop, AbstractMagma, AbstractMonoid,
+use alga::general::{
-                    AbstractQuasigroup, AbstractSemigroup, Id, Identity, Inverse, Multiplicative,
+    AbstractGroup, AbstractLoop, AbstractMagma, AbstractMonoid, AbstractQuasigroup,
-                    Real};
+    AbstractSemigroup, Id, Identity, Inverse, Multiplicative, Real,
-use alga::linear::{AffineTransformation, DirectIsometry, Isometry, OrthogonalTransformation,
+};
-                   ProjectiveTransformation, Rotation, Similarity, Transformation};
+use alga::linear::{
+    AffineTransformation, DirectIsometry, Isometry, OrthogonalTransformation,
+    ProjectiveTransformation, Rotation, Similarity, Transformation,
+};
 
-use base::{DefaultAllocator, Vector2};
 use base::allocator::Allocator;
 use base::dimension::U2;
+use base::{DefaultAllocator, Vector2};
 use geometry::{Point2, UnitComplex};
 
 /*

src/geometry/unit_complex_construction.rs

@@ -3,7 +3,7 @@ use quickcheck::{Arbitrary, Gen};
 
 use num::One;
 use num_complex::Complex;
-use rand::distributions::{Distribution, Standard, OpenClosed01};
+use rand::distributions::{Distribution, OpenClosed01, Standard};
 use rand::Rng;
 
 use alga::general::Real;

src/linalg/bidiagonal.rs

@@ -1,5 +1,5 @@
 #[cfg(feature = "serde-serialize")]
-use serde::{Serialize, Deserialize};
+use serde::{Deserialize, Serialize};
 
 use alga::general::Real;
 use allocator::Allocator;
@@ -15,31 +15,27 @@ use linalg::householder;
 #[cfg_attr(feature = "serde-serialize", derive(Serialize, Deserialize))]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        serialize = "DimMinimum<R, C>: DimSub<U1>,
-            serialize = "DimMinimum<R, C>: DimSub<U1>,
          DefaultAllocator: Allocator<N, R, C>             +
                            Allocator<N, DimMinimum<R, C>> +
                            Allocator<N, DimDiff<DimMinimum<R, C>, U1>>,
          MatrixMN<N, R, C>: Serialize,
          VectorN<N, DimMinimum<R, C>>: Serialize,
          VectorN<N, DimDiff<DimMinimum<R, C>, U1>>: Serialize"
-        )
+    ))
-    )
 )]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        deserialize = "DimMinimum<R, C>: DimSub<U1>,
-            deserialize = "DimMinimum<R, C>: DimSub<U1>,
          DefaultAllocator: Allocator<N, R, C>             +
                            Allocator<N, DimMinimum<R, C>> +
                            Allocator<N, DimDiff<DimMinimum<R, C>, U1>>,
          MatrixMN<N, R, C>: Deserialize<'de>,
          VectorN<N, DimMinimum<R, C>>: Deserialize<'de>,
          VectorN<N, DimDiff<DimMinimum<R, C>, U1>>: Deserialize<'de>"
-        )
+    ))
-    )
 )]
 #[derive(Clone, Debug)]
 pub struct Bidiagonal<N: Real, R: DimMin<C>, C: Dim>
@@ -68,8 +64,7 @@ where
     MatrixMN<N, R, C>: Copy,
     VectorN<N, DimMinimum<R, C>>: Copy,
     VectorN<N, DimDiff<DimMinimum<R, C>, U1>>: Copy,
-{
+{}
-}
 
 impl<N: Real, R: DimMin<C>, C: Dim> Bidiagonal<N, R, C>
 where

src/linalg/cholesky.rs

@@ -1,5 +1,5 @@
 #[cfg(feature = "serde-serialize")]
-use serde::{Serialize, Deserialize};
+use serde::{Deserialize, Serialize};
 
 use alga::general::Real;
 
@@ -13,21 +13,17 @@ use storage::{Storage, StorageMut};
 #[cfg_attr(feature = "serde-serialize", derive(Serialize, Deserialize))]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        serialize = "DefaultAllocator: Allocator<N, D>,
-            serialize = "DefaultAllocator: Allocator<N, D>,
          MatrixN<N, D>: Serialize"
-        )
+    ))
-    )
 )]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        deserialize = "DefaultAllocator: Allocator<N, D>,
-            deserialize = "DefaultAllocator: Allocator<N, D>,
          MatrixN<N, D>: Deserialize<'de>"
-        )
+    ))
-    )
 )]
 #[derive(Clone, Debug)]
 pub struct Cholesky<N: Real, D: Dim>
@@ -41,8 +37,7 @@ impl<N: Real, D: Dim> Copy for Cholesky<N, D>
 where
     DefaultAllocator: Allocator<N, D, D>,
     MatrixN<N, D>: Copy,
-{
+{}
-}
 
 impl<N: Real, D: DimSub<Dynamic>> Cholesky<N, D>
 where

src/linalg/full_piv_lu.rs

@@ -1,5 +1,5 @@
 #[cfg(feature = "serde-serialize")]
-use serde::{Serialize, Deserialize};
+use serde::{Deserialize, Serialize};
 
 use alga::general::Real;
 use allocator::Allocator;
@@ -15,25 +15,21 @@ use linalg::PermutationSequence;
 #[cfg_attr(feature = "serde-serialize", derive(Serialize, Deserialize))]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        serialize = "DefaultAllocator: Allocator<N, R, C> +
-            serialize = "DefaultAllocator: Allocator<N, R, C> +
                            Allocator<(usize, usize), DimMinimum<R, C>>,
          MatrixMN<N, R, C>: Serialize,
          PermutationSequence<DimMinimum<R, C>>: Serialize"
-        )
+    ))
-    )
 )]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        deserialize = "DefaultAllocator: Allocator<N, R, C> +
-            deserialize = "DefaultAllocator: Allocator<N, R, C> +
                            Allocator<(usize, usize), DimMinimum<R, C>>,
          MatrixMN<N, R, C>: Deserialize<'de>,
          PermutationSequence<DimMinimum<R, C>>: Deserialize<'de>"
-        )
+    ))
-    )
 )]
 #[derive(Clone, Debug)]
 pub struct FullPivLU<N: Real, R: DimMin<C>, C: Dim>
@@ -50,8 +46,7 @@ where
     DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimum<R, C>>,
     MatrixMN<N, R, C>: Copy,
     PermutationSequence<DimMinimum<R, C>>: Copy,
-{
+{}
-}
 
 impl<N: Real, R: DimMin<C>, C: Dim> FullPivLU<N, R, C>
 where

src/linalg/hessenberg.rs

@@ -1,5 +1,5 @@
 #[cfg(feature = "serde-serialize")]
-use serde::{Serialize, Deserialize};
+use serde::{Deserialize, Serialize};
 
 use alga::general::Real;
 use allocator::Allocator;
@@ -14,25 +14,21 @@ use linalg::householder;
 #[cfg_attr(feature = "serde-serialize", derive(Serialize, Deserialize))]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        serialize = "DefaultAllocator: Allocator<N, D, D> +
-            serialize = "DefaultAllocator: Allocator<N, D, D> +
                            Allocator<N, DimDiff<D, U1>>,
          MatrixN<N, D>: Serialize,
          VectorN<N, DimDiff<D, U1>>: Serialize"
-        )
+    ))
-    )
 )]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        deserialize = "DefaultAllocator: Allocator<N, D, D> +
-            deserialize = "DefaultAllocator: Allocator<N, D, D> +
                            Allocator<N, DimDiff<D, U1>>,
          MatrixN<N, D>: Deserialize<'de>,
          VectorN<N, DimDiff<D, U1>>: Deserialize<'de>"
-        )
+    ))
-    )
 )]
 #[derive(Clone, Debug)]
 pub struct Hessenberg<N: Real, D: DimSub<U1>>
@@ -48,8 +44,7 @@ where
     DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>>,
     MatrixN<N, D>: Copy,
     VectorN<N, DimDiff<D, U1>>: Copy,
-{
+{}
-}
 
 impl<N: Real, D: DimSub<U1>> Hessenberg<N, D>
 where

src/linalg/inverse.rs

@@ -1,9 +1,9 @@
 use alga::general::Real;
 
-use base::{DefaultAllocator, MatrixN, SquareMatrix};
+use base::allocator::Allocator;
 use base::dimension::Dim;
 use base::storage::{Storage, StorageMut};
-use base::allocator::Allocator;
+use base::{DefaultAllocator, MatrixN, SquareMatrix};
 
 use linalg::lu;
 
@@ -129,52 +129,84 @@ where
     let m = m.data.as_slice();
 
     out[(0, 0)] = m[5] * m[10] * m[15] - m[5] * m[11] * m[14] - m[9] * m[6] * m[15]
-        + m[9] * m[7] * m[14] + m[13] * m[6] * m[11] - m[13] * m[7] * m[10];
+        + m[9] * m[7] * m[14]
+        + m[13] * m[6] * m[11]
+        - m[13] * m[7] * m[10];
 
     out[(1, 0)] = -m[1] * m[10] * m[15] + m[1] * m[11] * m[14] + m[9] * m[2] * m[15]
-        - m[9] * m[3] * m[14] - m[13] * m[2] * m[11] + m[13] * m[3] * m[10];
+        - m[9] * m[3] * m[14]
+        - m[13] * m[2] * m[11]
+        + m[13] * m[3] * m[10];
 
     out[(2, 0)] = m[1] * m[6] * m[15] - m[1] * m[7] * m[14] - m[5] * m[2] * m[15]
-        + m[5] * m[3] * m[14] + m[13] * m[2] * m[7] - m[13] * m[3] * m[6];
+        + m[5] * m[3] * m[14]
+        + m[13] * m[2] * m[7]
+        - m[13] * m[3] * m[6];
 
     out[(3, 0)] = -m[1] * m[6] * m[11] + m[1] * m[7] * m[10] + m[5] * m[2] * m[11]
-        - m[5] * m[3] * m[10] - m[9] * m[2] * m[7] + m[9] * m[3] * m[6];
+        - m[5] * m[3] * m[10]
+        - m[9] * m[2] * m[7]
+        + m[9] * m[3] * m[6];
 
     out[(0, 1)] = -m[4] * m[10] * m[15] + m[4] * m[11] * m[14] + m[8] * m[6] * m[15]
-        - m[8] * m[7] * m[14] - m[12] * m[6] * m[11] + m[12] * m[7] * m[10];
+        - m[8] * m[7] * m[14]
+        - m[12] * m[6] * m[11]
+        + m[12] * m[7] * m[10];
 
     out[(1, 1)] = m[0] * m[10] * m[15] - m[0] * m[11] * m[14] - m[8] * m[2] * m[15]
-        + m[8] * m[3] * m[14] + m[12] * m[2] * m[11] - m[12] * m[3] * m[10];
+        + m[8] * m[3] * m[14]
+        + m[12] * m[2] * m[11]
+        - m[12] * m[3] * m[10];
 
     out[(2, 1)] = -m[0] * m[6] * m[15] + m[0] * m[7] * m[14] + m[4] * m[2] * m[15]
-        - m[4] * m[3] * m[14] - m[12] * m[2] * m[7] + m[12] * m[3] * m[6];
+        - m[4] * m[3] * m[14]
+        - m[12] * m[2] * m[7]
+        + m[12] * m[3] * m[6];
 
     out[(3, 1)] = m[0] * m[6] * m[11] - m[0] * m[7] * m[10] - m[4] * m[2] * m[11]
-        + m[4] * m[3] * m[10] + m[8] * m[2] * m[7] - m[8] * m[3] * m[6];
+        + m[4] * m[3] * m[10]
+        + m[8] * m[2] * m[7]
+        - m[8] * m[3] * m[6];
 
     out[(0, 2)] = m[4] * m[9] * m[15] - m[4] * m[11] * m[13] - m[8] * m[5] * m[15]
-        + m[8] * m[7] * m[13] + m[12] * m[5] * m[11] - m[12] * m[7] * m[9];
+        + m[8] * m[7] * m[13]
+        + m[12] * m[5] * m[11]
+        - m[12] * m[7] * m[9];
 
     out[(1, 2)] = -m[0] * m[9] * m[15] + m[0] * m[11] * m[13] + m[8] * m[1] * m[15]
-        - m[8] * m[3] * m[13] - m[12] * m[1] * m[11] + m[12] * m[3] * m[9];
+        - m[8] * m[3] * m[13]
+        - m[12] * m[1] * m[11]
+        + m[12] * m[3] * m[9];
 
     out[(2, 2)] = m[0] * m[5] * m[15] - m[0] * m[7] * m[13] - m[4] * m[1] * m[15]
-        + m[4] * m[3] * m[13] + m[12] * m[1] * m[7] - m[12] * m[3] * m[5];
+        + m[4] * m[3] * m[13]
+        + m[12] * m[1] * m[7]
+        - m[12] * m[3] * m[5];
 
     out[(0, 3)] = -m[4] * m[9] * m[14] + m[4] * m[10] * m[13] + m[8] * m[5] * m[14]
-        - m[8] * m[6] * m[13] - m[12] * m[5] * m[10] + m[12] * m[6] * m[9];
+        - m[8] * m[6] * m[13]
+        - m[12] * m[5] * m[10]
+        + m[12] * m[6] * m[9];
 
     out[(3, 2)] = -m[0] * m[5] * m[11] + m[0] * m[7] * m[9] + m[4] * m[1] * m[11]
-        - m[4] * m[3] * m[9] - m[8] * m[1] * m[7] + m[8] * m[3] * m[5];
+        - m[4] * m[3] * m[9]
+        - m[8] * m[1] * m[7]
+        + m[8] * m[3] * m[5];
 
     out[(1, 3)] = m[0] * m[9] * m[14] - m[0] * m[10] * m[13] - m[8] * m[1] * m[14]
-        + m[8] * m[2] * m[13] + m[12] * m[1] * m[10] - m[12] * m[2] * m[9];
+        + m[8] * m[2] * m[13]
+        + m[12] * m[1] * m[10]
+        - m[12] * m[2] * m[9];
 
     out[(2, 3)] = -m[0] * m[5] * m[14] + m[0] * m[6] * m[13] + m[4] * m[1] * m[14]
-        - m[4] * m[2] * m[13] - m[12] * m[1] * m[6] + m[12] * m[2] * m[5];
+        - m[4] * m[2] * m[13]
+        - m[12] * m[1] * m[6]
+        + m[12] * m[2] * m[5];
 
     out[(3, 3)] = m[0] * m[5] * m[10] - m[0] * m[6] * m[9] - m[4] * m[1] * m[10]
-        + m[4] * m[2] * m[9] + m[8] * m[1] * m[6] - m[8] * m[2] * m[5];
+        + m[4] * m[2] * m[9]
+        + m[8] * m[1] * m[6]
+        - m[8] * m[2] * m[5];
 
     let det = m[0] * out[(0, 0)] + m[1] * out[(0, 1)] + m[2] * out[(0, 2)] + m[3] * out[(0, 3)];
 

src/linalg/lu.rs

@@ -1,5 +1,5 @@
 #[cfg(feature = "serde-serialize")]
-use serde::{Serialize, Deserialize};
+use serde::{Deserialize, Serialize};
 
 use alga::general::{Field, Real};
 use allocator::{Allocator, Reallocator};
@@ -15,25 +15,21 @@ use linalg::PermutationSequence;
 #[cfg_attr(feature = "serde-serialize", derive(Serialize, Deserialize))]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        serialize = "DefaultAllocator: Allocator<N, R, C> +
-            serialize = "DefaultAllocator: Allocator<N, R, C> +
                            Allocator<(usize, usize), DimMinimum<R, C>>,
          MatrixMN<N, R, C>: Serialize,
          PermutationSequence<DimMinimum<R, C>>: Serialize"
-        )
+    ))
-    )
 )]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        deserialize = "DefaultAllocator: Allocator<N, R, C> +
-            deserialize = "DefaultAllocator: Allocator<N, R, C> +
                            Allocator<(usize, usize), DimMinimum<R, C>>,
          MatrixMN<N, R, C>: Deserialize<'de>,
          PermutationSequence<DimMinimum<R, C>>: Deserialize<'de>"
-        )
+    ))
-    )
 )]
 #[derive(Clone, Debug)]
 pub struct LU<N: Real, R: DimMin<C>, C: Dim>
@@ -49,8 +45,7 @@ where
     DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimum<R, C>>,
     MatrixMN<N, R, C>: Copy,
     PermutationSequence<DimMinimum<R, C>>: Copy,
-{
+{}
-}
 
 /// Performs a LU decomposition to overwrite `out` with the inverse of `matrix`.
 ///

src/linalg/mod.rs

@@ -1,35 +1,35 @@
 //! [Reexported at the root of this crate.] Factorization of real matrices.
 
-mod solve;
-mod determinant;
-mod inverse;
-pub mod householder;
-pub mod givens;
 pub mod balancing;
+mod bidiagonal;
+mod cholesky;
+mod determinant;
+mod full_piv_lu;
+pub mod givens;
+mod hessenberg;
+pub mod householder;
+mod inverse;
+mod lu;
 mod permutation_sequence;
 mod qr;
-mod hessenberg;
-mod bidiagonal;
-mod symmetric_tridiagonal;
-mod cholesky;
-mod lu;
-mod full_piv_lu;
 mod schur;
+mod solve;
 mod svd;
 mod symmetric_eigen;
+mod symmetric_tridiagonal;
 
 //// FIXME: Not complete enough for publishing.
 //// This handles only cases where each eigenvalue has multiplicity one.
 // mod eigen;
 
-pub use self::permutation_sequence::*;
-pub use self::qr::*;
-pub use self::hessenberg::*;
 pub use self::bidiagonal::*;
 pub use self::cholesky::*;
-pub use self::lu::*;
 pub use self::full_piv_lu::*;
+pub use self::hessenberg::*;
+pub use self::lu::*;
+pub use self::permutation_sequence::*;
+pub use self::qr::*;
 pub use self::schur::*;
 pub use self::svd::*;
-pub use self::symmetric_tridiagonal::*;
 pub use self::symmetric_eigen::*;
+pub use self::symmetric_tridiagonal::*;

src/linalg/permutation_sequence.rs

@@ -1,5 +1,5 @@
 #[cfg(feature = "serde-serialize")]
-use serde::{Serialize, Deserialize};
+use serde::{Deserialize, Serialize};
 
 use alga::general::ClosedNeg;
 use num::One;
@@ -15,21 +15,17 @@ use storage::StorageMut;
 #[cfg_attr(feature = "serde-serialize", derive(Serialize, Deserialize))]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        serialize = "DefaultAllocator: Allocator<(usize, usize), D>,
-            serialize = "DefaultAllocator: Allocator<(usize, usize), D>,
          VectorN<(usize, usize), D>: Serialize"
-        )
+    ))
-    )
 )]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        deserialize = "DefaultAllocator: Allocator<(usize, usize), D>,
-            deserialize = "DefaultAllocator: Allocator<(usize, usize), D>,
          VectorN<(usize, usize), D>: Deserialize<'de>"
-        )
+    ))
-    )
 )]
 #[derive(Clone, Debug)]
 pub struct PermutationSequence<D: Dim>
@@ -44,8 +40,7 @@ impl<D: Dim> Copy for PermutationSequence<D>
 where
     DefaultAllocator: Allocator<(usize, usize), D>,
     VectorN<(usize, usize), D>: Copy,
-{
+{}
-}
 
 impl<D: DimName> PermutationSequence<D>
 where

src/linalg/qr.rs

@@ -1,28 +1,36 @@
 #[cfg(feature = "serde-serialize")]
-use serde::{Serialize, Deserialize};
+use serde::{Deserialize, Serialize};
 
 use alga::general::Real;
+use allocator::{Allocator, Reallocator};
 use base::{DefaultAllocator, Matrix, MatrixMN, MatrixN, Unit, VectorN};
+use constraint::{SameNumberOfRows, ShapeConstraint};
 use dimension::{Dim, DimMin, DimMinimum, U1};
 use storage::{Storage, StorageMut};
-use allocator::{Allocator, Reallocator};
-use constraint::{SameNumberOfRows, ShapeConstraint};
 
-use linalg::householder;
 use geometry::Reflection;
+use linalg::householder;
 
 /// The QR decomposition of a general matrix.
 #[cfg_attr(feature = "serde-serialize", derive(Serialize, Deserialize))]
-#[cfg_attr(feature = "serde-serialize",
+#[cfg_attr(
-           serde(bound(serialize = "DefaultAllocator: Allocator<N, R, C> +
+    feature = "serde-serialize",
+    serde(bound(
+        serialize = "DefaultAllocator: Allocator<N, R, C> +
                            Allocator<N, DimMinimum<R, C>>,
          MatrixMN<N, R, C>: Serialize,
-         VectorN<N, DimMinimum<R, C>>: Serialize")))]
+         VectorN<N, DimMinimum<R, C>>: Serialize"
-#[cfg_attr(feature = "serde-serialize",
+    ))
-           serde(bound(deserialize = "DefaultAllocator: Allocator<N, R, C> +
+)]
+#[cfg_attr(
+    feature = "serde-serialize",
+    serde(bound(
+        deserialize = "DefaultAllocator: Allocator<N, R, C> +
                            Allocator<N, DimMinimum<R, C>>,
          MatrixMN<N, R, C>: Deserialize<'de>,
-         VectorN<N, DimMinimum<R, C>>: Deserialize<'de>")))]
+         VectorN<N, DimMinimum<R, C>>: Deserialize<'de>"
+    ))
+)]
 #[derive(Clone, Debug)]
 pub struct QR<N: Real, R: DimMin<C>, C: Dim>
 where
@@ -37,8 +45,7 @@ where
     DefaultAllocator: Allocator<N, R, C> + Allocator<N, DimMinimum<R, C>>,
     MatrixMN<N, R, C>: Copy,
     VectorN<N, DimMinimum<R, C>>: Copy,
-{
+{}
-}
 
 impl<N: Real, R: DimMin<C>, C: Dim> QR<N, R, C>
 where
@@ -132,8 +139,8 @@ where
     )
     where
         DimMinimum<R, C>: DimMin<C, Output = DimMinimum<R, C>>,
-        DefaultAllocator: Allocator<N, R, DimMinimum<R, C>>
+        DefaultAllocator:
-            + Reallocator<N, R, C, DimMinimum<R, C>, C>,
+            Allocator<N, R, DimMinimum<R, C>> + Reallocator<N, R, C, DimMinimum<R, C>, C>,
     {
         (self.q(), self.unpack_r())
     }

src/linalg/schur.rs

@@ -1,5 +1,5 @@
 #[cfg(feature = "serde-serialize")]
-use serde::{Serialize, Deserialize};
+use serde::{Deserialize, Serialize};
 
 use alga::general::Real;
 use num_complex::Complex;
@@ -19,21 +19,17 @@ use linalg::Hessenberg;
 #[cfg_attr(feature = "serde-serialize", derive(Serialize, Deserialize))]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        serialize = "DefaultAllocator: Allocator<N, D, D>,
-            serialize = "DefaultAllocator: Allocator<N, D, D>,
          MatrixN<N, D>: Serialize"
-        )
+    ))
-    )
 )]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        deserialize = "DefaultAllocator: Allocator<N, D, D>,
-            deserialize = "DefaultAllocator: Allocator<N, D, D>,
          MatrixN<N, D>: Deserialize<'de>"
-        )
+    ))
-    )
 )]
 #[derive(Clone, Debug)]
 pub struct RealSchur<N: Real, D: Dim>
@@ -48,8 +44,7 @@ impl<N: Real, D: Dim> Copy for RealSchur<N, D>
 where
     DefaultAllocator: Allocator<N, D, D>,
     MatrixN<N, D>: Copy,
-{
+{}
-}
 
 impl<N: Real, D: Dim> RealSchur<N, D>
 where
@@ -180,10 +175,10 @@ where
                         {
                             let krows = cmp::min(k + 4, end + 1);
                             let mut work = work.rows_mut(0, krows);
-                            refl.reflect(&mut t.generic_slice_mut(
+                            refl.reflect(
-                                (k, k),
+                                &mut t
-                                (U3, Dynamic::new(dim.value() - k)),
+                                    .generic_slice_mut((k, k), (U3, Dynamic::new(dim.value() - k))),
-                            ));
+                            );
                             refl.reflect_rows(
                                 &mut t.generic_slice_mut((0, k), (Dynamic::new(krows), U3)),
                                 &mut work,
@@ -214,10 +209,9 @@ where
 
                     {
                         let mut work = work.rows_mut(0, end + 1);
-                        refl.reflect(&mut t.generic_slice_mut(
+                        refl.reflect(
-                            (m, m),
+                            &mut t.generic_slice_mut((m, m), (U2, Dynamic::new(dim.value() - m))),
-                            (U2, Dynamic::new(dim.value() - m)),
+                        );
-                        ));
                         refl.reflect_rows(
                             &mut t.generic_slice_mut((0, m), (Dynamic::new(end + 1), U2)),
                             &mut work,
@@ -236,10 +230,9 @@ where
                         (start, start),
                         (U2, Dynamic::new(dim.value() - start)),
                     ));
-                    rot.rotate_rows(&mut t.generic_slice_mut(
+                    rot.rotate_rows(
-                        (0, start),
+                        &mut t.generic_slice_mut((0, start), (Dynamic::new(end + 1), U2)),
-                        (Dynamic::new(end + 1), U2),
+                    );
-                    ));
                     t[(end, start)] = N::zero();
 
                     if let Some(ref mut q) = q {
@@ -433,9 +426,11 @@ where
                 ));
             }
         }
-        None => if compute_q {
+        None => {
-            q = Some(MatrixN::identity_generic(dim, dim));
+            if compute_q {
-        },
+                q = Some(MatrixN::identity_generic(dim, dim));
+            }
+        }
     };
 
     Some((q, m))
@@ -558,7 +553,8 @@ where
             N::default_epsilon(),
             0,
             false,
-        ).unwrap();
+        )
+        .unwrap();
         if RealSchur::do_eigenvalues(&schur.1, &mut work) {
             Some(work)
         } else {
@@ -581,7 +577,8 @@ where
             N::default_epsilon(),
             0,
             false,
-        ).unwrap();
+        )
+        .unwrap();
         let mut eig = unsafe { VectorN::new_uninitialized_generic(dim, U1) };
         RealSchur::do_complex_eigenvalues(&schur.1, &mut eig);
         eig

src/linalg/svd.rs

@@ -1,5 +1,5 @@
 #[cfg(feature = "serde-serialize")]
-use serde::{Serialize, Deserialize};
+use serde::{Deserialize, Serialize};
 
 use num_complex::Complex;
 use std::ops::MulAssign;
@@ -20,31 +20,27 @@ use linalg::Bidiagonal;
 #[cfg_attr(feature = "serde-serialize", derive(Serialize, Deserialize))]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        serialize = "DefaultAllocator: Allocator<N, R, C>                +
-            serialize = "DefaultAllocator: Allocator<N, R, C>                +
                            Allocator<N, DimMinimum<R, C>>    +
                            Allocator<N, DimMinimum<R, C>, C> +
                            Allocator<N, R, DimMinimum<R, C>>,
          MatrixMN<N, R, DimMinimum<R, C>>: Serialize,
          MatrixMN<N, DimMinimum<R, C>, C>: Serialize,
          VectorN<N, DimMinimum<R, C>>: Serialize"
-        )
+    ))
-    )
 )]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        deserialize = "DefaultAllocator: Allocator<N, R, C>                +
-            deserialize = "DefaultAllocator: Allocator<N, R, C>                +
                            Allocator<N, DimMinimum<R, C>>    +
                            Allocator<N, DimMinimum<R, C>, C> +
                            Allocator<N, R, DimMinimum<R, C>>,
          MatrixMN<N, R, DimMinimum<R, C>>: Deserialize<'de>,
          MatrixMN<N, DimMinimum<R, C>, C>: Deserialize<'de>,
          VectorN<N, DimMinimum<R, C>>: Deserialize<'de>"
-        )
+    ))
-    )
 )]
 #[derive(Clone, Debug)]
 pub struct SVD<N: Real, R: DimMin<C>, C: Dim>
@@ -69,8 +65,7 @@ where
     MatrixMN<N, R, DimMinimum<R, C>>: Copy,
     MatrixMN<N, DimMinimum<R, C>, C>: Copy,
     VectorN<N, DimMinimum<R, C>>: Copy,
-{
+{}
-}
 
 impl<N: Real, R: DimMin<C>, C: Dim> SVD<N, R, C>
 where
@@ -489,7 +484,8 @@ where
     /// right- and left- singular vectors have not been computed at construction-time.
     pub fn recompose(self) -> MatrixMN<N, R, C> {
         let mut u = self.u.expect("SVD recomposition: U has not been computed.");
-        let v_t = self.v_t
+        let v_t = self
+            .v_t
             .expect("SVD recomposition: V^t has not been computed.");
 
         for i in 0..self.singular_values.len() {
@@ -545,10 +541,12 @@ where
             eps >= N::zero(),
             "SVD solve: the epsilon must be non-negative."
         );
-        let u = self.u
+        let u = self
+            .u
             .as_ref()
             .expect("SVD solve: U has not been computed.");
-        let v_t = self.v_t
+        let v_t = self
+            .v_t
             .as_ref()
             .expect("SVD solve: V^t has not been computed.");
 

src/linalg/symmetric_eigen.rs

@@ -1,5 +1,5 @@
 #[cfg(feature = "serde-serialize")]
-use serde::{Serialize, Deserialize};
+use serde::{Deserialize, Serialize};
 
 use num_complex::Complex;
 use std::ops::MulAssign;
@@ -18,25 +18,21 @@ use linalg::SymmetricTridiagonal;
 #[cfg_attr(feature = "serde-serialize", derive(Serialize, Deserialize))]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        serialize = "DefaultAllocator: Allocator<N, D, D> +
-            serialize = "DefaultAllocator: Allocator<N, D, D> +
                            Allocator<N, D>,
          VectorN<N, D>: Serialize,
          MatrixN<N, D>: Serialize"
-        )
+    ))
-    )
 )]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        deserialize = "DefaultAllocator: Allocator<N, D, D> +
-            deserialize = "DefaultAllocator: Allocator<N, D, D> +
                            Allocator<N, D>,
          VectorN<N, D>: Deserialize<'de>,
          MatrixN<N, D>: Deserialize<'de>"
-        )
+    ))
-    )
 )]
 #[derive(Clone, Debug)]
 pub struct SymmetricEigen<N: Real, D: Dim>
@@ -55,8 +51,7 @@ where
     DefaultAllocator: Allocator<N, D, D> + Allocator<N, D>,
     MatrixN<N, D>: Copy,
     VectorN<N, D>: Copy,
-{
+{}
-}
 
 impl<N: Real, D: Dim> SymmetricEigen<N, D>
 where

src/linalg/symmetric_tridiagonal.rs

@@ -1,5 +1,5 @@
 #[cfg(feature = "serde-serialize")]
-use serde::{Serialize, Deserialize};
+use serde::{Deserialize, Serialize};
 
 use alga::general::Real;
 use allocator::Allocator;
@@ -13,25 +13,21 @@ use linalg::householder;
 #[cfg_attr(feature = "serde-serialize", derive(Serialize, Deserialize))]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        serialize = "DefaultAllocator: Allocator<N, D, D> +
-            serialize = "DefaultAllocator: Allocator<N, D, D> +
                            Allocator<N, DimDiff<D, U1>>,
          MatrixN<N, D>: Serialize,
          VectorN<N, DimDiff<D, U1>>: Serialize"
-        )
+    ))
-    )
 )]
 #[cfg_attr(
     feature = "serde-serialize",
-    serde(
+    serde(bound(
-        bound(
+        deserialize = "DefaultAllocator: Allocator<N, D, D> +
-            deserialize = "DefaultAllocator: Allocator<N, D, D> +
                            Allocator<N, DimDiff<D, U1>>,
          MatrixN<N, D>: Deserialize<'de>,
          VectorN<N, DimDiff<D, U1>>: Deserialize<'de>"
-        )
+    ))
-    )
 )]
 #[derive(Clone, Debug)]
 pub struct SymmetricTridiagonal<N: Real, D: DimSub<U1>>
@@ -47,8 +43,7 @@ where
     DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>>,
     MatrixN<N, D>: Copy,
     VectorN<N, DimDiff<D, U1>>: Copy,
-{
+{}
-}
 
 impl<N: Real, D: DimSub<U1>> SymmetricTridiagonal<N, D>
 where

src/sparse/cs_matrix.rs

@@ -0,0 +1,485 @@
+use alga::general::{ClosedAdd, ClosedMul};
+use num::{One, Zero};
+use std::marker::PhantomData;
+use std::ops::{Add, Mul, Range};
+
+use allocator::Allocator;
+use constraint::{AreMultipliable, DimEq, ShapeConstraint};
+use storage::{Storage, StorageMut};
+use {DefaultAllocator, Dim, Matrix, MatrixMN, Scalar, Vector, VectorN, U1};
+
+pub trait CsStorage<N, R, C = U1> {
+    fn shape(&self) -> (R, C);
+    fn nvalues(&self) -> usize;
+    unsafe fn row_index_unchecked(&self, i: usize) -> usize;
+    unsafe fn get_value_unchecked(&self, i: usize) -> &N;
+    fn get_value(&self, i: usize) -> &N;
+    fn row_index(&self, i: usize) -> usize;
+    fn column_range(&self, j: usize) -> Range<usize>;
+}
+
+pub trait CsStorageMut<N, R, C = U1>: CsStorage<N, R, C> {
+    /*
+    /// Sets the length of this column without initializing its values and row indices.
+    ///
+    /// If the given length is larger than the current one, uninitialized entries are
+    /// added at the end of the column `i`. This will effectively shift all the matrix entries
+    /// of the columns at indices `j` with `j > i`. Therefore this is a `O(n)` operation.
+    /// This is unsafe as the row indices on newly created components may end up being out
+    /// of bounds.
+    unsafe fn set_column_len(&mut self, i: usize, len: usize);
+    */
+}
+
+#[derive(Clone, Debug)]
+pub struct CsVecStorage<N: Scalar, R: Dim, C: Dim>
+where
+    DefaultAllocator: Allocator<usize, C>,
+{
+    shape: (R, C),
+    p: VectorN<usize, C>,
+    i: Vec<usize>,
+    vals: Vec<N>,
+}
+
+impl<N: Scalar, R: Dim, C: Dim> CsStorage<N, R, C> for CsVecStorage<N, R, C>
+where
+    DefaultAllocator: Allocator<usize, C>,
+{
+    #[inline]
+    fn shape(&self) -> (R, C) {
+        self.shape
+    }
+
+    #[inline]
+    fn nvalues(&self) -> usize {
+        self.vals.len()
+    }
+
+    #[inline]
+    fn column_range(&self, j: usize) -> Range<usize> {
+        let end = if j + 1 == self.p.len() {
+            self.nvalues()
+        } else {
+            self.p[j + 1]
+        };
+
+        self.p[j]..end
+    }
+
+    #[inline]
+    fn row_index(&self, i: usize) -> usize {
+        self.i[i]
+    }
+
+    #[inline]
+    unsafe fn row_index_unchecked(&self, i: usize) -> usize {
+        *self.i.get_unchecked(i)
+    }
+
+    #[inline]
+    unsafe fn get_value_unchecked(&self, i: usize) -> &N {
+        self.vals.get_unchecked(i)
+    }
+
+    #[inline]
+    fn get_value(&self, i: usize) -> &N {
+        &self.vals[i]
+    }
+}
+
+/*
+pub struct CsSliceStorage<'a, N: Scalar, R: Dim, C: DimAdd<U1>> {
+    shape: (R, C),
+    p: VectorSlice<usize, DimSum<C, U1>>,
+    i: VectorSlice<usize, Dynamic>,
+    vals: VectorSlice<N, Dynamic>,
+}*/
+
+/// A compressed sparse column matrix.
+#[derive(Clone, Debug)]
+pub struct CsMatrix<N: Scalar, R: Dim, C: Dim, S: CsStorage<N, R, C> = CsVecStorage<N, R, C>> {
+    pub data: S,
+    _phantoms: PhantomData<(N, R, C)>,
+}
+
+pub type CsVector<N, R, S> = CsMatrix<N, R, U1, S>;
+
+impl<N: Scalar, R: Dim, C: Dim> CsMatrix<N, R, C>
+where
+    DefaultAllocator: Allocator<usize, C>,
+{
+    pub fn new_uninitialized_generic(nrows: R, ncols: C, nvals: usize) -> Self {
+        let mut i = Vec::with_capacity(nvals);
+        unsafe {
+            i.set_len(nvals);
+        }
+        i.shrink_to_fit();
+
+        let mut vals = Vec::with_capacity(nvals);
+        unsafe {
+            vals.set_len(nvals);
+        }
+        vals.shrink_to_fit();
+
+        CsMatrix {
+            data: CsVecStorage {
+                shape: (nrows, ncols),
+                p: unsafe { VectorN::new_uninitialized_generic(ncols, U1) },
+                i,
+                vals,
+            },
+            _phantoms: PhantomData,
+        }
+    }
+}
+
+fn cumsum<D: Dim>(a: &mut VectorN<usize, D>, b: &mut VectorN<usize, D>) -> usize
+where
+    DefaultAllocator: Allocator<usize, D>,
+{
+    assert!(a.len() == b.len());
+    let mut sum = 0;
+
+    for i in 0..a.len() {
+        b[i] = sum;
+        sum += a[i];
+        a[i] = b[i];
+    }
+
+    sum
+}
+
+impl<N: Scalar, R: Dim, C: Dim, S: CsStorage<N, R, C>> CsMatrix<N, R, C, S> {
+    pub fn nvalues(&self) -> usize {
+        self.data.nvalues()
+    }
+
+    pub fn transpose(&self) -> CsMatrix<N, C, R>
+    where
+        DefaultAllocator: Allocator<usize, R>,
+    {
+        let (nrows, ncols) = self.data.shape();
+
+        let nvals = self.nvalues();
+        let mut res = CsMatrix::new_uninitialized_generic(ncols, nrows, nvals);
+        let mut workspace = Vector::zeros_generic(nrows, U1);
+
+        // Compute p.
+        for i in 0..nvals {
+            let row_id = self.data.row_index(i);
+            workspace[row_id] += 1;
+        }
+
+        let _ = cumsum(&mut workspace, &mut res.data.p);
+
+        // Fill the result.
+        for j in 0..ncols.value() {
+            let column_idx = self.data.column_range(j);
+
+            for vi in column_idx {
+                let row_id = self.data.row_index(vi);
+                let shift = workspace[row_id];
+
+                res.data.vals[shift] = *self.data.get_value(vi);
+                res.data.i[shift] = j;
+                workspace[row_id] += 1;
+            }
+        }
+
+        res
+    }
+
+    fn scatter<R2: Dim, C2: Dim>(
+        &self,
+        j: usize,
+        beta: N,
+        timestamps: &mut [usize],
+        timestamp: usize,
+        workspace: &mut [N],
+        mut nz: usize,
+        res: &mut CsMatrix<N, R2, C2>,
+    ) -> usize
+    where
+        N: ClosedAdd + ClosedMul,
+        DefaultAllocator: Allocator<usize, C2>,
+    {
+        let column_idx = self.data.column_range(j);
+
+        for vi in column_idx {
+            let i = self.data.row_index(vi);
+            let val = beta * *self.data.get_value(vi);
+
+            if timestamps[i] < timestamp {
+                timestamps[i] = timestamp;
+                res.data.i[nz] = i;
+                nz += 1;
+                workspace[i] = val;
+            } else {
+                workspace[i] += val;
+            }
+        }
+
+        nz
+    }
+}
+
+/*
+impl<N: Scalar, R, S> CsVector<N, R, S> {
+    pub fn axpy(&mut self, alpha: N, x: CsVector<N, R, S>, beta: N) {
+        // First, compute the number of non-zero entries.
+        let mut nnzero = 0;
+
+        // Allocate a size large enough.
+        self.data.set_column_len(0, nnzero);
+
+        // Fill with the axpy.
+        let mut i = self.nvalues();
+        let mut j = x.nvalues();
+        let mut k = nnzero - 1;
+        let mut rid1 = self.data.row_index(0, i - 1);
+        let mut rid2 = x.data.row_index(0, j - 1);
+
+        while k > 0 {
+            if rid1 == rid2 {
+                self.data.set_row_index(0, k, rid1);
+                self[k] = alpha * x[j] + beta * self[k];
+                i -= 1;
+                j -= 1;
+            } else if rid1 < rid2 {
+                self.data.set_row_index(0, k, rid1);
+                self[k] = beta * self[i];
+                i -= 1;
+            } else {
+                self.data.set_row_index(0, k, rid2);
+                self[k] = alpha * x[j];
+                j -= 1;
+            }
+
+            k -= 1;
+        }
+    }
+}
+*/
+
+impl<N: Scalar + Zero + ClosedAdd + ClosedMul, D: Dim, S: StorageMut<N, D>> Vector<N, D, S> {
+    pub fn axpy_cs<D2: Dim, S2>(&mut self, alpha: N, x: &CsVector<N, D2, S2>, beta: N)
+    where
+        S2: CsStorage<N, D2>,
+        ShapeConstraint: DimEq<D, D2>,
+    {
+        if beta.is_zero() {
+            for i in 0..x.nvalues() {
+                unsafe {
+                    let k = x.data.row_index_unchecked(i);
+                    let y = self.vget_unchecked_mut(k);
+                    *y = alpha * *x.data.get_value_unchecked(i);
+                }
+            }
+        } else {
+            for i in 0..x.nvalues() {
+                unsafe {
+                    let k = x.data.row_index_unchecked(i);
+                    let y = self.vget_unchecked_mut(k);
+                    *y = alpha * *x.data.get_value_unchecked(i) + beta * *y;
+                }
+            }
+        }
+    }
+
+    /*
+    pub fn gemv_sparse<R2: Dim, C2: Dim, S2>(&mut self, alpha: N, a: &CsMatrix<N, R2, C2, S2>, x: &DVector<N>, beta: N)
+        where
+            S2: CsStorage<N, R2, C2> {
+        let col2 = a.column(0);
+        let val = unsafe { *x.vget_unchecked(0) };
+        self.axpy_sparse(alpha * val, &col2, beta);
+    
+        for j in 1..ncols2 {
+            let col2 = a.column(j);
+            let val = unsafe { *x.vget_unchecked(j) };
+    
+            self.axpy_sparse(alpha * val, &col2, N::one());
+        }
+    }
+    */
+}
+
+impl<'a, 'b, N, R1, R2, C1, C2, S1, S2> Mul<&'b CsMatrix<N, R2, C2, S2>>
+    for &'a CsMatrix<N, R1, C1, S1>
+where
+    N: Scalar + ClosedAdd + ClosedMul + Zero,
+    R1: Dim,
+    C1: Dim,
+    R2: Dim,
+    C2: Dim,
+    S1: CsStorage<N, R1, C1>,
+    S2: CsStorage<N, R2, C2>,
+    ShapeConstraint: AreMultipliable<R1, C1, R2, C2>,
+    DefaultAllocator: Allocator<usize, C2> + Allocator<usize, R1> + Allocator<N, R1>,
+{
+    type Output = CsMatrix<N, R1, C2>;
+
+    fn mul(self, rhs: &'b CsMatrix<N, R2, C2, S2>) -> CsMatrix<N, R1, C2> {
+        let (nrows1, ncols1) = self.data.shape();
+        let (nrows2, ncols2) = rhs.data.shape();
+        assert_eq!(
+            ncols1.value(),
+            nrows2.value(),
+            "Mismatched dimensions for matrix multiplication."
+        );
+
+        let mut res =
+            CsMatrix::new_uninitialized_generic(nrows1, ncols2, self.nvalues() + rhs.nvalues());
+        let mut timestamps = VectorN::zeros_generic(nrows1, U1);
+        let mut workspace = unsafe { VectorN::new_uninitialized_generic(nrows1, U1) };
+        let mut nz = 0;
+
+        for j in 0..ncols2.value() {
+            res.data.p[j] = nz;
+            let column_idx = rhs.data.column_range(j);
+            let new_size_bound = nz + nrows1.value();
+            res.data.i.resize(new_size_bound, 0);
+            res.data.vals.resize(new_size_bound, N::zero());
+
+            for vi in column_idx {
+                let i = rhs.data.row_index(vi);
+                nz = self.scatter(
+                    i,
+                    *rhs.data.get_value(vi),
+                    timestamps.as_mut_slice(),
+                    j + 1,
+                    workspace.as_mut_slice(),
+                    nz,
+                    &mut res,
+                );
+            }
+
+            for p in res.data.p[j]..nz {
+                res.data.vals[p] = workspace[res.data.i[p]]
+            }
+        }
+
+        res.data.i.truncate(nz);
+        res.data.i.shrink_to_fit();
+        res.data.vals.truncate(nz);
+        res.data.vals.shrink_to_fit();
+        res
+    }
+}
+
+impl<'a, 'b, N, R1, R2, C1, C2, S1, S2> Add<&'b CsMatrix<N, R2, C2, S2>>
+    for &'a CsMatrix<N, R1, C1, S1>
+where
+    N: Scalar + ClosedAdd + ClosedMul + One,
+    R1: Dim,
+    C1: Dim,
+    R2: Dim,
+    C2: Dim,
+    S1: CsStorage<N, R1, C1>,
+    S2: CsStorage<N, R2, C2>,
+    ShapeConstraint: DimEq<R1, R2> + DimEq<C1, C2>,
+    DefaultAllocator: Allocator<usize, C2> + Allocator<usize, R1> + Allocator<N, R1>,
+{
+    type Output = CsMatrix<N, R1, C2>;
+
+    fn add(self, rhs: &'b CsMatrix<N, R2, C2, S2>) -> CsMatrix<N, R1, C2> {
+        let (nrows1, ncols1) = self.data.shape();
+        let (nrows2, ncols2) = rhs.data.shape();
+        assert_eq!(
+            (nrows1.value(), ncols1.value()),
+            (nrows2.value(), ncols2.value()),
+            "Mismatched dimensions for matrix sum."
+        );
+
+        let mut res =
+            CsMatrix::new_uninitialized_generic(nrows1, ncols2, self.nvalues() + rhs.nvalues());
+        let mut timestamps = VectorN::zeros_generic(nrows1, U1);
+        let mut workspace = unsafe { VectorN::new_uninitialized_generic(nrows1, U1) };
+        let mut nz = 0;
+
+        for j in 0..ncols2.value() {
+            res.data.p[j] = nz;
+
+            nz = self.scatter(
+                j,
+                N::one(),
+                timestamps.as_mut_slice(),
+                j + 1,
+                workspace.as_mut_slice(),
+                nz,
+                &mut res,
+            );
+
+            nz = rhs.scatter(
+                j,
+                N::one(),
+                timestamps.as_mut_slice(),
+                j + 1,
+                workspace.as_mut_slice(),
+                nz,
+                &mut res,
+            );
+
+            for p in res.data.p[j]..nz {
+                res.data.vals[p] = workspace[res.data.i[p]]
+            }
+        }
+
+        res.data.i.truncate(nz);
+        res.data.i.shrink_to_fit();
+        res.data.vals.truncate(nz);
+        res.data.vals.shrink_to_fit();
+        res
+    }
+}
+
+impl<'a, N: Scalar + Zero, R: Dim, C: Dim, S> From<CsMatrix<N, R, C, S>> for MatrixMN<N, R, C>
+where
+    S: CsStorage<N, R, C>,
+    DefaultAllocator: Allocator<N, R, C>,
+{
+    fn from(m: CsMatrix<N, R, C, S>) -> Self {
+        let (nrows, ncols) = m.data.shape();
+        let mut res = MatrixMN::zeros_generic(nrows, ncols);
+
+        for j in 0..ncols.value() {
+            let column_idx = m.data.column_range(j);
+
+            for iv in column_idx {
+                let i = m.data.row_index(iv);
+                res[(i, j)] = *m.data.get_value(iv);
+            }
+        }
+
+        res
+    }
+}
+
+impl<'a, N: Scalar + Zero, R: Dim, C: Dim, S> From<Matrix<N, R, C, S>> for CsMatrix<N, R, C>
+where
+    S: Storage<N, R, C>,
+    DefaultAllocator: Allocator<N, R, C> + Allocator<usize, C>,
+{
+    fn from(m: Matrix<N, R, C, S>) -> Self {
+        let (nrows, ncols) = m.data.shape();
+        let nvalues = m.iter().filter(|e| !e.is_zero()).count();
+        let mut res = CsMatrix::new_uninitialized_generic(nrows, ncols, nvalues);
+        let mut nz = 0;
+
+        for j in 0..ncols.value() {
+            let column = m.column(j);
+            res.data.p[j] = nz;
+
+            for i in 0..nrows.value() {
+                if !column[i].is_zero() {
+                    res.data.i[nz] = i;
+                    res.data.vals[nz] = column[i];
+                    nz += 1;
+                }
+            }
+        }
+
+        res
+    }
+}

src/sparse/mod.rs

@@ -0,0 +1,3 @@
+pub use self::cs_matrix::CsMatrix;
+
+mod cs_matrix;

tests/core/abomonation.rs

@@ -1,9 +1,9 @@
-use rand::random;
+use abomonation::{decode, encode, Abomonation};
-use abomonation::{Abomonation, encode, decode};
 use na::{
-    DMatrix, Matrix3x4, Point3, Translation3, Rotation3, Isometry3, Quaternion,
+    DMatrix, Isometry3, IsometryMatrix3, Matrix3x4, Point3, Quaternion, Rotation3, Similarity3,
-    IsometryMatrix3, Similarity3, SimilarityMatrix3
+    SimilarityMatrix3, Translation3,
 };
+use rand::random;
 
 #[test]
 fn abomonate_dmatrix() {
@@ -39,7 +39,9 @@ fn assert_encode_and_decode<T: Abomonation + PartialEq + Clone>(original_data: T
 
     // Encode
     let mut bytes = Vec::new();
-    unsafe { encode(&original_data, &mut bytes); }
+    unsafe {
+        encode(&original_data, &mut bytes);
+    }
 
     // Drop the original, so that dangling pointers are revealed by the test
     drop(original_data);

tests/core/blas.rs

@@ -1,7 +1,7 @@
 #![cfg(feature = "arbitrary")]
 
+use na::{DMatrix, DVector};
 use std::cmp;
-use na::{DVector, DMatrix};
 
 quickcheck! {
     /*

tests/core/conversion.rs

@@ -1,18 +1,13 @@
 #![cfg(feature = "arbitrary")]
 use alga::linear::Transformation;
 use na::{
-    self,
+    self, Affine3, Isometry3, Matrix2, Matrix2x3, Matrix2x4, Matrix2x5, Matrix2x6, Matrix3,
+    Matrix3x2, Matrix3x4, Matrix3x5, Matrix3x6, Matrix4, Matrix4x2, Matrix4x3, Matrix4x5,
+    Matrix4x6, Matrix5, Matrix5x2, Matrix5x3, Matrix5x4, Matrix5x6, Matrix6, Matrix6x2, Matrix6x3,
+    Matrix6x4, Matrix6x5, Point3, Projective3, Rotation3, RowVector1, RowVector2, RowVector3,
+    RowVector4, RowVector5, RowVector6, Similarity3, Transform3, Translation3, UnitQuaternion,
     Vector1, Vector2, Vector3, Vector4, Vector5, Vector6,
-    RowVector1, RowVector2, RowVector3, RowVector4, RowVector5, RowVector6,
+};
-    Matrix2, Matrix3, Matrix4, Matrix5, Matrix6,
-    Matrix2x3, Matrix2x4, Matrix2x5, Matrix2x6,
-    Matrix3x2, Matrix3x4, Matrix3x5, Matrix3x6,
-    Matrix4x2, Matrix4x3, Matrix4x5, Matrix4x6,
-    Matrix5x2, Matrix5x3, Matrix5x4, Matrix5x6,
-    Matrix6x2, Matrix6x3, Matrix6x4, Matrix6x5,
-    Point3, Translation3, Isometry3, Similarity3, Affine3,
-    Projective3, Transform3, Rotation3, UnitQuaternion};
-
 
 quickcheck!{
     fn translation_conversion(t: Translation3<f64>, v: Vector3<f64>, p: Point3<f64>) -> bool {

tests/core/mod.rs

@@ -1,10 +1,10 @@
+#[cfg(feature = "abomonation-serialize")]
+mod abomonation;
+mod blas;
 mod conversion;
 mod edition;
 mod matrix;
 mod matrix_slice;
-mod blas;
-mod serde;
-#[cfg(feature = "abomonation-serialize")]
-mod abomonation;
 #[cfg(feature = "mint")]
 mod mint;
+mod serde;

tests/core/serde.rs

@@ -1,20 +1,11 @@
 #![cfg(feature = "serde-serialize")]
 
-use serde_json;
-use rand;
 use na::{
-    DMatrix,
+    DMatrix, Isometry3, IsometryMatrix3, Matrix3x4, Point3, Quaternion, Rotation3, Similarity3,
-    Matrix3x4,
+    SimilarityMatrix3, Translation3, Unit,
-    Point3,
-    Translation3,
-    Rotation3,
-    Isometry3,
-    IsometryMatrix3,
-    Similarity3,
-    SimilarityMatrix3,
-    Quaternion,
-    Unit,
 };
+use rand;
+use serde_json;
 
 macro_rules! test_serde(
     ($($test: ident, $ty: ident);* $(;)*) => {$(

tests/geometry/isometry.rs

@@ -1,10 +1,10 @@
 #![cfg(feature = "arbitrary")]
 #![allow(non_snake_case)]
 
-use alga::linear::{Transformation, ProjectiveTransformation};
+use alga::linear::{ProjectiveTransformation, Transformation};
 use na::{
-    Vector3, Point3, Rotation3, Isometry3, Translation3, UnitQuaternion,
+    Isometry2, Isometry3, Point2, Point3, Rotation2, Rotation3, Translation2, Translation3,
-    Vector2, Point2, Rotation2, Isometry2, Translation2, UnitComplex
+    UnitComplex, UnitQuaternion, Vector2, Vector3,
 };
 
 quickcheck!(

tests/geometry/point.rs

@@ -1,6 +1,6 @@
 #![cfg(feature = "arbitrary")]
-use num::Zero;
 use na::{Point3, Vector3, Vector4};
+use num::Zero;
 
 #[test]
 fn point_ops() {
@@ -8,20 +8,20 @@ fn point_ops() {
     let b = Point3::new(1.0, 2.0, 3.0);
     let c = Vector3::new(1.0, 2.0, 3.0);
 
-    assert_eq!( a -  b, Vector3::zero());
+    assert_eq!(a - b, Vector3::zero());
     assert_eq!(&a - &b, Vector3::zero());
-    assert_eq!( a - &b, Vector3::zero());
+    assert_eq!(a - &b, Vector3::zero());
-    assert_eq!(&a -  b, Vector3::zero());
+    assert_eq!(&a - b, Vector3::zero());
 
-    assert_eq!( b -  c, Point3::origin());
+    assert_eq!(b - c, Point3::origin());
     assert_eq!(&b - &c, Point3::origin());
-    assert_eq!( b - &c, Point3::origin());
+    assert_eq!(b - &c, Point3::origin());
-    assert_eq!(&b -  c, Point3::origin());
+    assert_eq!(&b - c, Point3::origin());
 
-    assert_eq!( b +  c, 2.0 * a);
+    assert_eq!(b + c, 2.0 * a);
     assert_eq!(&b + &c, 2.0 * a);
-    assert_eq!( b + &c, 2.0 * a);
+    assert_eq!(b + &c, 2.0 * a);
-    assert_eq!(&b +  c, 2.0 * a);
+    assert_eq!(&b + c, 2.0 * a);
 
     let mut a1 = a;
     let mut a2 = a;
@@ -58,20 +58,19 @@ fn point_coordinates() {
 
 #[test]
 fn point_scale() {
-    let pt       = Point3::new(1, 2, 3);
+    let pt = Point3::new(1, 2, 3);
     let expected = Point3::new(10, 20, 30);
 
     assert_eq!(pt * 10, expected);
     assert_eq!(&pt * 10, expected);
     assert_eq!(10 * pt, expected);
     assert_eq!(10 * &pt, expected);
-
 }
 
 #[test]
 fn point_vector_sum() {
-    let pt       = Point3::new(1, 2, 3);
+    let pt = Point3::new(1, 2, 3);
-    let vec      = Vector3::new(10, 20, 30);
+    let vec = Vector3::new(10, 20, 30);
     let expected = Point3::new(11, 22, 33);
 
     assert_eq!(&pt + &vec, expected);
@@ -82,15 +81,13 @@ fn point_vector_sum() {
 
 #[test]
 fn to_homogeneous() {
-    let a        = Point3::new(1.0, 2.0, 3.0);
+    let a = Point3::new(1.0, 2.0, 3.0);
     let expected = Vector4::new(1.0, 2.0, 3.0, 1.0);
 
     assert_eq!(a.to_homogeneous(), expected);
 }
 
-quickcheck!(
+quickcheck!(fn point_sub(pt1: Point3<f64>, pt2: Point3<f64>) -> bool {
-    fn point_sub(pt1: Point3<f64>, pt2: Point3<f64>) -> bool {
+    let dpt = &pt2 - &pt1;
-        let dpt = &pt2 - &pt1;
+    relative_eq!(pt2, pt1 + dpt, epsilon = 1.0e-7)
-        relative_eq!(pt2, pt1 + dpt, epsilon = 1.0e-7)
+});
-    }
-);

tests/geometry/projection.rs

@@ -1,9 +1,9 @@
-use na::{Perspective3, Orthographic3};
+use na::{Orthographic3, Perspective3};
 
 #[test]
 fn perspective_inverse() {
     let proj = Perspective3::new(800.0 / 600.0, 3.14 / 2.0, 1.0, 1000.0);
-    let inv  = proj.inverse();
+    let inv = proj.inverse();
 
     let id = inv * proj.unwrap();
 
@@ -13,17 +13,16 @@ fn perspective_inverse() {
 #[test]
 fn orthographic_inverse() {
     let proj = Orthographic3::new(1.0, 2.0, -3.0, -2.5, 10.0, 900.0);
-    let inv  = proj.inverse();
+    let inv = proj.inverse();
 
     let id = inv * proj.unwrap();
 
     assert!(id.is_identity(1.0e-7));
 }
 
-
 #[cfg(feature = "arbitrary")]
 mod quickcheck_tests {
-    use na::{Point3, Perspective3, Orthographic3};
+    use na::{Orthographic3, Perspective3, Point3};
 
     quickcheck!{
         fn perspective_project_unproject(pt: Point3<f64>) -> bool {

tests/geometry/quaternion.rs

@@ -1,8 +1,7 @@
 #![cfg(feature = "arbitrary")]
 #![allow(non_snake_case)]
 
-use na::{Unit, UnitQuaternion, Quaternion, Vector3, Point3, Rotation3};
+use na::{Point3, Quaternion, Rotation3, Unit, UnitQuaternion, Vector3};
-
 
 quickcheck!(
     /*

tests/geometry/rotation.rs

@@ -18,9 +18,9 @@ fn angle_3() {
 
 #[cfg(feature = "arbitrary")]
 mod quickcheck_tests {
-    use std::f64;
     use alga::general::Real;
-    use na::{self, Vector2, Vector3, Rotation2, Rotation3, Unit};
+    use na::{self, Rotation2, Rotation3, Unit, Vector2, Vector3};
+    use std::f64;
 
     quickcheck! {
         /*

tests/geometry/similarity.rs

@@ -1,8 +1,8 @@
 #![cfg(feature = "arbitrary")]
 #![allow(non_snake_case)]
 
-use alga::linear::{Transformation, ProjectiveTransformation};
+use alga::linear::{ProjectiveTransformation, Transformation};
-use na::{Vector3, Point3, Similarity3, Translation3, Isometry3, UnitQuaternion};
+use na::{Isometry3, Point3, Similarity3, Translation3, UnitQuaternion, Vector3};
 
 quickcheck!(
     fn inverse_is_identity(i: Similarity3<f64>, p: Point3<f64>, v: Vector3<f64>) -> bool {

tests/geometry/unit_complex.rs

@@ -1,7 +1,7 @@
 #![cfg(feature = "arbitrary")]
 #![allow(non_snake_case)]
 
-use na::{Unit, UnitComplex, Vector2, Point2, Rotation2};
+use na::{Point2, Rotation2, Unit, UnitComplex, Vector2};
 
 quickcheck!(
 

tests/lib.rs

@@ -14,5 +14,7 @@ extern crate rand;
 extern crate serde_json;
 
 mod core;
-mod linalg;
 mod geometry;
+mod linalg;
+#[cfg(feature = "sparse")]
+mod sparse;

tests/linalg/balancing.rs

@@ -2,8 +2,8 @@
 
 use std::cmp;
 
-use na::{DMatrix, Matrix4};
 use na::balancing;
+use na::{DMatrix, Matrix4};
 
 quickcheck! {
     fn balancing_parlett_reinsch(n: usize) -> bool {

tests/linalg/bidiagonal.rs

@@ -1,6 +1,6 @@
 #![cfg(feature = "arbitrary")]
 
-use na::{DMatrix, Matrix2, Matrix4, Matrix5x3, Matrix3x5};
+use na::{DMatrix, Matrix2, Matrix3x5, Matrix4, Matrix5x3};
 
 quickcheck! {
     fn bidiagonal(m: DMatrix<f64>) -> bool {

tests/linalg/cholesky.rs

@@ -1,9 +1,9 @@
 #![cfg(all(feature = "arbitrary", feature = "debug"))]
 
-use std::cmp;
-use na::{DMatrix, Matrix4x3, DVector, Vector4};
-use na::dimension::U4;
 use na::debug::RandomSDP;
+use na::dimension::U4;
+use na::{DMatrix, DVector, Matrix4x3, Vector4};
+use std::cmp;
 
 quickcheck! {
     fn cholesky(m: RandomSDP<f64>) -> bool {

tests/linalg/eigen.rs

@@ -2,8 +2,8 @@ use na::DMatrix;
 
 #[cfg(feature = "arbitrary")]
 mod quickcheck_tests {
-    use std::cmp;
     use na::{DMatrix, Matrix2, Matrix3, Matrix4};
+    use std::cmp;
 
     quickcheck! {
         fn symmetric_eigen(n: usize) -> bool {
@@ -62,39 +62,58 @@ mod quickcheck_tests {
 // Test proposed on the issue #176 of rulinalg.
 #[test]
 fn symmetric_eigen_singular_24x24() {
-    let m = DMatrix::from_row_slice(24, 24, &[
+    let m = DMatrix::from_row_slice(
-        1.0,  1.0,  1.0,  1.0,  1.0,  1.0,  0.0,  1.0,  1.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+        24,
-        -1.0, -1.0, -1.0, -1.0, -1.0,  0.0,  1.0,  0.0,  0.0,  1.0,  1.0,  1.0,  1.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+        24,
-        0.0,  0.0,  0.0,  0.0,  0.0, -1.0, -1.0, -1.0, -1.0,  0.0,  0.0,  0.0,  0.0,  1.0,  1.0,  1.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+        &[
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -1.0, -1.0, -1.0,  0.0,  0.0,  0.0,  0.0,  1.0,  1.0,  1.0,  1.0,  0.0,  0.0,  0.0,  0.0,
+            1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0,  0.0,  1.0,  1.0,  1.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 1.0, 0.0, 0.0,
-        0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 0.0, 0.0,
-        0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0,
-        0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            -1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 1.0, 1.0, 1.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, -4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  4.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 4.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, -4.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 4.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0]);
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 4.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 4.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0,
+            0.0, 0.0, 0.0, -4.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0,
+            -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, -4.0, 4.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0,
+            -4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0,
+            0.0,
+        ],
+    );
 
     let eig = m.clone().symmetric_eigen();
     let recomp = eig.recompose();
 
-    assert!(relative_eq!(m.lower_triangle(), recomp.lower_triangle(), epsilon = 1.0e-5));
+    assert!(relative_eq!(
+        m.lower_triangle(),
+        recomp.lower_triangle(),
+        epsilon = 1.0e-5
+    ));
 }
 
-
 //  #[cfg(feature = "arbitrary")]
 //  quickcheck! {
 // FIXME: full eigendecomposition is not implemented yet because of its complexity when some
@@ -167,16 +186,16 @@ fn symmetric_eigen_singular_24x24() {
 //           MatrixN<f64, D>: Display,
 //           VectorN<f64, D>: Display {
 //     let mv = &m * &eig.eigenvectors;
-// 
+//
 //     println!("eigenvalues: {}eigenvectors: {}", eig.eigenvalues, eig.eigenvectors);
-// 
+//
 //     let dim = m.nrows();
 //     for i in 0 .. dim {
 //         let mut col = eig.eigenvectors.column_mut(i);
 //         col *= eig.eigenvalues[i];
 //     }
-// 
+//
 //     println!("{}{:.5}{:.5}", m, mv, eig.eigenvectors);
-// 
+//
 //     relative_eq!(eig.eigenvectors, mv, epsilon = 1.0e-5)
 // }

tests/linalg/hessenberg.rs

@@ -1,12 +1,11 @@
 #![cfg(feature = "arbitrary")]
 
-use std::cmp;
 use na::{DMatrix, Matrix2, Matrix4};
+use std::cmp;
 
 #[test]
 fn hessenberg_simple() {
-    let m = Matrix2::new(1.0, 0.0,
+    let m = Matrix2::new(1.0, 0.0, 1.0, 3.0);
-                         1.0, 3.0);
     let hess = m.hessenberg();
     let (p, h) = hess.unpack();
     assert!(relative_eq!(m, p * h * p.transpose(), epsilon = 1.0e-7))

tests/linalg/mod.rs

@@ -1,13 +1,13 @@
-mod inverse;
-mod solve;
-mod qr;
-mod cholesky;
-mod hessenberg;
-mod lu;
-mod full_piv_lu;
-mod bidiagonal;
-mod real_schur;
-mod svd;
 mod balancing;
-mod tridiagonal;
+mod bidiagonal;
+mod cholesky;
 mod eigen;
+mod full_piv_lu;
+mod hessenberg;
+mod inverse;
+mod lu;
+mod qr;
+mod real_schur;
+mod solve;
+mod svd;
+mod tridiagonal;

tests/linalg/qr.rs

@@ -1,8 +1,7 @@
 #![cfg(feature = "arbitrary")]
 
+use na::{DMatrix, DVector, Matrix3x5, Matrix4, Matrix4x3, Matrix5x3, Vector4};
 use std::cmp;
-use na::{DMatrix, Matrix4, Matrix4x3, Matrix5x3, Matrix3x5,
-         DVector, Vector4};
 
 quickcheck! {
     fn qr(m: DMatrix<f64>) -> bool {

tests/linalg/solve.rs

@@ -3,7 +3,7 @@
 use na::{Matrix4, Matrix4x5};
 
 fn unzero_diagonal(a: &mut Matrix4<f64>) {
-    for i in 0 .. 4 {
+    for i in 0..4 {
         if a[(i, i)] < 1.0e-7 {
             a[(i, i)] = 1.0;
         }

tests/linalg/svd.rs

@@ -2,8 +2,10 @@ use na::{DMatrix, Matrix6};
 
 #[cfg(feature = "arbitrary")]
 mod quickcheck_tests {
+    use na::{
+        DMatrix, DVector, Matrix2, Matrix2x5, Matrix3, Matrix3x5, Matrix4, Matrix5x2, Matrix5x3,
+    };
     use std::cmp;
-    use na::{DMatrix, Matrix2, Matrix3, Matrix4, Matrix5x2, Matrix5x3, Matrix2x5, Matrix3x5, DVector};
 
     quickcheck! {
         fn svd(m: DMatrix<f64>) -> bool {
@@ -143,31 +145,47 @@ mod quickcheck_tests {
 // Test proposed on the issue #176 of rulinalg.
 #[test]
 fn svd_singular() {
-    let m = DMatrix::from_row_slice(24, 24, &[
+    let m = DMatrix::from_row_slice(
-        1.0,  1.0,  1.0,  1.0,  1.0,  1.0,  0.0,  1.0,  1.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+        24,
-        -1.0, -1.0, -1.0, -1.0, -1.0,  0.0,  1.0,  0.0,  0.0,  1.0,  1.0,  1.0,  1.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+        24,
-        0.0,  0.0,  0.0,  0.0,  0.0, -1.0, -1.0, -1.0, -1.0,  0.0,  0.0,  0.0,  0.0,  1.0,  1.0,  1.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+        &[
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -1.0, -1.0, -1.0,  0.0,  0.0,  0.0,  0.0,  1.0,  1.0,  1.0,  1.0,  0.0,  0.0,  0.0,  0.0,
+            1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0,  0.0,  1.0,  1.0,  1.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 1.0, 0.0, 0.0,
-        0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 0.0, 0.0,
-        0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0,
-        0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            -1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 1.0, 1.0, 1.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, -4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  4.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 4.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, -4.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 4.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0]);
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 4.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 4.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0,
+            0.0, 0.0, 0.0, -4.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0,
+            -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, -4.0, 4.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0,
+            -4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0,
+            0.0,
+        ],
+    );
 
     let svd = m.clone().svd(true, true);
     let (u, s, v_t) = (svd.u.unwrap(), svd.singular_values, svd.v_t.unwrap());
@@ -184,33 +202,48 @@ fn svd_singular() {
 // Same as the previous test but with one additional row.
 #[test]
 fn svd_singular_vertical() {
-    let m = DMatrix::from_row_slice(25, 24, &[
+    let m = DMatrix::from_row_slice(
-        1.0,  1.0,  1.0,  1.0,  1.0,  1.0,  0.0,  1.0,  1.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+        25,
-        -1.0, -1.0, -1.0, -1.0, -1.0,  0.0,  1.0,  0.0,  0.0,  1.0,  1.0,  1.0,  1.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+        24,
-        0.0,  0.0,  0.0,  0.0,  0.0, -1.0, -1.0, -1.0, -1.0,  0.0,  0.0,  0.0,  0.0,  1.0,  1.0,  1.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+        &[
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -1.0, -1.0, -1.0,  0.0,  0.0,  0.0,  0.0,  1.0,  1.0,  1.0,  1.0,  0.0,  0.0,  0.0,  0.0,
+            1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0,  0.0,  1.0,  1.0,  1.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 1.0, 0.0, 0.0,
-        0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 0.0, 0.0,
-        0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0,
-        0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            -1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 1.0, 1.0, 1.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, -4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  4.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 4.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, -4.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 4.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 4.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 4.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0]);
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0,
-
+            0.0, 0.0, 0.0, -4.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0,
+            -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, -4.0, 4.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0,
+            -4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0,
+            0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+        ],
+    );
 
     let svd = m.clone().svd(true, true);
     let (u, s, v_t) = (svd.u.unwrap(), svd.singular_values, svd.v_t.unwrap());
@@ -223,31 +256,48 @@ fn svd_singular_vertical() {
 // Same as the previous test but with one additional column.
 #[test]
 fn svd_singular_horizontal() {
-    let m = DMatrix::from_row_slice(24, 25, &[
+    let m = DMatrix::from_row_slice(
-        1.0,  1.0,  1.0,  1.0,  1.0,  1.0,  0.0,  1.0,  1.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+        24,
-        -1.0, -1.0, -1.0, -1.0, -1.0,  0.0,  1.0,  0.0,  0.0,  1.0,  1.0,  1.0,  1.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,
+        25,
-        0.0,  0.0,  0.0,  0.0,  0.0, -1.0, -1.0, -1.0, -1.0,  0.0,  0.0,  0.0,  0.0,  1.0,  1.0,  1.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+        &[
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -1.0, -1.0, -1.0,  0.0,  0.0,  0.0,  0.0,  1.0,  1.0,  1.0,  1.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0,  0.0,  1.0,  1.0,  1.0,   1.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 1.0, 0.0,
-        0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            0.0, 1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0,
-        0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            0.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            -1.0, -1.0, -1.0, -1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 4.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  4.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, -4.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 4.0, 0.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0,   0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0,
-        0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0, -4.0,  0.0,  0.0,  0.0,  0.0,  4.0,  0.0,  0.0,  0.0,  0.0,  0.0, 0.0]);
+            0.0, 0.0, -4.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 4.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0,
+            0.0, 0.0, -4.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0,
+            0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, -4.0, 4.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            -4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 0.0,
+            0.0, 0.0, 4.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+            0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, -4.0, 0.0, 0.0,
+            0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
+        ],
+    );
 
     let svd = m.clone().svd(true, true);
     let (u, s, v_t) = (svd.u.unwrap(), svd.singular_values, svd.v_t.unwrap());
@@ -257,7 +307,6 @@ fn svd_singular_horizontal() {
     assert!(relative_eq!(m, &u * ds * &v_t, epsilon = 1.0e-5));
 }
 
-
 #[test]
 fn svd_zeros() {
     let m = DMatrix::from_element(10, 10, 0.0);
@@ -283,47 +332,100 @@ fn svd_identity() {
 #[test]
 fn svd_with_delimited_subproblem() {
     let mut m = DMatrix::<f64>::from_element(10, 10, 0.0);
-    m[(0,0)] = 1.0;  m[(0,1)] = 2.0;
+    m[(0, 0)] = 1.0;
-    m[(1,1)] = 0.0;  m[(1,2)] = 3.0;
+    m[(0, 1)] = 2.0;
-    m[(2,2)] = 4.0;  m[(2,3)] = 5.0;
+    m[(1, 1)] = 0.0;
-    m[(3,3)] = 6.0;  m[(3,4)] = 0.0;
+    m[(1, 2)] = 3.0;
-    m[(4,4)] = 8.0;  m[(3,5)] = 9.0;
+    m[(2, 2)] = 4.0;
-    m[(5,5)] = 10.0; m[(3,6)] = 11.0;
+    m[(2, 3)] = 5.0;
-    m[(6,6)] = 12.0; m[(3,7)] = 12.0;
+    m[(3, 3)] = 6.0;
-    m[(7,7)] = 14.0; m[(3,8)] = 13.0;
+    m[(3, 4)] = 0.0;
-    m[(8,8)] = 16.0; m[(3,9)] = 17.0;
+    m[(4, 4)] = 8.0;
-    m[(9,9)] = 18.0;
+    m[(3, 5)] = 9.0;
+    m[(5, 5)] = 10.0;
+    m[(3, 6)] = 11.0;
+    m[(6, 6)] = 12.0;
+    m[(3, 7)] = 12.0;
+    m[(7, 7)] = 14.0;
+    m[(3, 8)] = 13.0;
+    m[(8, 8)] = 16.0;
+    m[(3, 9)] = 17.0;
+    m[(9, 9)] = 18.0;
     let svd = m.clone().svd(true, true);
     assert!(relative_eq!(m, svd.recompose(), epsilon = 1.0e-7));
 
     // Rectangular versions.
     let mut m = DMatrix::<f64>::from_element(15, 10, 0.0);
-    m[(0,0)] = 1.0;  m[(0,1)] = 2.0;
+    m[(0, 0)] = 1.0;
-    m[(1,1)] = 0.0;  m[(1,2)] = 3.0;
+    m[(0, 1)] = 2.0;
-    m[(2,2)] = 4.0;  m[(2,3)] = 5.0;
+    m[(1, 1)] = 0.0;
-    m[(3,3)] = 6.0;  m[(3,4)] = 0.0;
+    m[(1, 2)] = 3.0;
-    m[(4,4)] = 8.0;  m[(3,5)] = 9.0;
+    m[(2, 2)] = 4.0;
-    m[(5,5)] = 10.0; m[(3,6)] = 11.0;
+    m[(2, 3)] = 5.0;
-    m[(6,6)] = 12.0; m[(3,7)] = 12.0;
+    m[(3, 3)] = 6.0;
-    m[(7,7)] = 14.0; m[(3,8)] = 13.0;
+    m[(3, 4)] = 0.0;
-    m[(8,8)] = 16.0; m[(3,9)] = 17.0;
+    m[(4, 4)] = 8.0;
-    m[(9,9)] = 18.0;
+    m[(3, 5)] = 9.0;
+    m[(5, 5)] = 10.0;
+    m[(3, 6)] = 11.0;
+    m[(6, 6)] = 12.0;
+    m[(3, 7)] = 12.0;
+    m[(7, 7)] = 14.0;
+    m[(3, 8)] = 13.0;
+    m[(8, 8)] = 16.0;
+    m[(3, 9)] = 17.0;
+    m[(9, 9)] = 18.0;
     let svd = m.clone().svd(true, true);
     assert!(relative_eq!(m, svd.recompose(), epsilon = 1.0e-7));
 
     let svd = m.transpose().svd(true, true);
-    assert!(relative_eq!(m.transpose(), svd.recompose(), epsilon = 1.0e-7));
+    assert!(relative_eq!(
+        m.transpose(),
+        svd.recompose(),
+        epsilon = 1.0e-7
+    ));
 }
 
 #[test]
 fn svd_fail() {
     let m = Matrix6::new(
-         0.9299319121545955,   0.9955870335651049,   0.8824725266413644,  0.28966880207132295,  0.06102723649846409,   0.9311880746048009,
+        0.9299319121545955,
-         0.5938395242304351,   0.8398522876024204,  0.06672831951963198,   0.9941213119963099,   0.9431846038057834,   0.8159885168706427,
+        0.9955870335651049,
-         0.9121962883152357,   0.6471119669367571,   0.4823309702814407,   0.6420516076705516,   0.7731203925207113,   0.7424069470756647,
+        0.8824725266413644,
-        0.07311092531259344,   0.5579247949052946,  0.14518764691585773,  0.03502980663114896,   0.7991329455957719,   0.4929930019965745,
+        0.28966880207132295,
-        0.12293810556077789,   0.6617084679545999,   0.9002240700227326, 0.027153062135304884,   0.3630189466989524,  0.18207502727558866,
+        0.06102723649846409,
-          0.843196731466686,  0.08951878746549924,   0.7533450877576973, 0.009558876499740077,   0.9429679490873482,   0.9355764454129878);
+        0.9311880746048009,
+        0.5938395242304351,
+        0.8398522876024204,
+        0.06672831951963198,
+        0.9941213119963099,
+        0.9431846038057834,
+        0.8159885168706427,
+        0.9121962883152357,
+        0.6471119669367571,
+        0.4823309702814407,
+        0.6420516076705516,
+        0.7731203925207113,
+        0.7424069470756647,
+        0.07311092531259344,
+        0.5579247949052946,
+        0.14518764691585773,
+        0.03502980663114896,
+        0.7991329455957719,
+        0.4929930019965745,
+        0.12293810556077789,
+        0.6617084679545999,
+        0.9002240700227326,
+        0.027153062135304884,
+        0.3630189466989524,
+        0.18207502727558866,
+        0.843196731466686,
+        0.08951878746549924,
+        0.7533450877576973,
+        0.009558876499740077,
+        0.9429679490873482,
+        0.9355764454129878,
+    );
     let svd = m.clone().svd(true, true);
     println!("Singular values: {}", svd.singular_values);
     println!("u: {:.5}", svd.u.unwrap());