From 4234883d234aed7389215ce5f1dc05b331c8a83c Mon Sep 17 00:00:00 2001
From: Andreas Longva <andreas.b.longva@gmail.com>
Date: Fri, 11 Nov 2022 17:36:50 +0100
Subject: [PATCH] Add View type aliases

---
 src/base/alias_view.rs | 589 +++++++++++++++++++++++++++++++++++++++++
 src/base/mod.rs        |   2 +
 2 files changed, 591 insertions(+)
 create mode 100644 src/base/alias_view.rs

diff --git a/src/base/alias_view.rs b/src/base/alias_view.rs
new file mode 100644
index 00000000..1bbee3f8
--- /dev/null
+++ b/src/base/alias_view.rs
@@ -0,0 +1,589 @@
+use crate::base::dimension::{Dynamic, U1, U2, U3, U4, U5, U6};
+use crate::base::matrix_view::{ViewStorage, ViewStorageMut};
+use crate::base::{Const, Matrix};
+
+/*
+ *
+ *
+ * Matrix view aliases.
+ *
+ *
+ */
+// NOTE: we can't provide defaults for the strides because it's not supported yet by min_const_generics.
+/// A column-major matrix view with dimensions known at compile-time.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type SMatrixView<'a, T, const R: usize, const C: usize> =
+    Matrix<T, Const<R>, Const<C>, ViewStorage<'a, T, Const<R>, Const<C>, Const<1>, Const<R>>>;
+
+/// A column-major matrix view dynamic numbers of rows and columns.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type DMatrixView<'a, T, RStride = U1, CStride = Dynamic> =
+    Matrix<T, Dynamic, Dynamic, ViewStorage<'a, T, Dynamic, Dynamic, RStride, CStride>>;
+
+/// A column-major 1x1 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView1<'a, T, RStride = U1, CStride = U1> =
+    Matrix<T, U1, U1, ViewStorage<'a, T, U1, U1, RStride, CStride>>;
+/// A column-major 2x2 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView2<'a, T, RStride = U1, CStride = U2> =
+    Matrix<T, U2, U2, ViewStorage<'a, T, U2, U2, RStride, CStride>>;
+/// A column-major 3x3 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView3<'a, T, RStride = U1, CStride = U3> =
+    Matrix<T, U3, U3, ViewStorage<'a, T, U3, U3, RStride, CStride>>;
+/// A column-major 4x4 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView4<'a, T, RStride = U1, CStride = U4> =
+    Matrix<T, U4, U4, ViewStorage<'a, T, U4, U4, RStride, CStride>>;
+/// A column-major 5x5 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView5<'a, T, RStride = U1, CStride = U5> =
+    Matrix<T, U5, U5, ViewStorage<'a, T, U5, U5, RStride, CStride>>;
+/// A column-major 6x6 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView6<'a, T, RStride = U1, CStride = U6> =
+    Matrix<T, U6, U6, ViewStorage<'a, T, U6, U6, RStride, CStride>>;
+
+/// A column-major 1x2 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView1x2<'a, T, RStride = U1, CStride = U1> =
+    Matrix<T, U1, U2, ViewStorage<'a, T, U1, U2, RStride, CStride>>;
+/// A column-major 1x3 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView1x3<'a, T, RStride = U1, CStride = U1> =
+    Matrix<T, U1, U3, ViewStorage<'a, T, U1, U3, RStride, CStride>>;
+/// A column-major 1x4 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView1x4<'a, T, RStride = U1, CStride = U1> =
+    Matrix<T, U1, U4, ViewStorage<'a, T, U1, U4, RStride, CStride>>;
+/// A column-major 1x5 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView1x5<'a, T, RStride = U1, CStride = U1> =
+    Matrix<T, U1, U5, ViewStorage<'a, T, U1, U5, RStride, CStride>>;
+/// A column-major 1x6 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView1x6<'a, T, RStride = U1, CStride = U1> =
+    Matrix<T, U1, U6, ViewStorage<'a, T, U1, U6, RStride, CStride>>;
+
+/// A column-major 2x1 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView2x1<'a, T, RStride = U1, CStride = U2> =
+    Matrix<T, U2, U1, ViewStorage<'a, T, U2, U1, RStride, CStride>>;
+/// A column-major 2x3 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView2x3<'a, T, RStride = U1, CStride = U2> =
+    Matrix<T, U2, U3, ViewStorage<'a, T, U2, U3, RStride, CStride>>;
+/// A column-major 2x4 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView2x4<'a, T, RStride = U1, CStride = U2> =
+    Matrix<T, U2, U4, ViewStorage<'a, T, U2, U4, RStride, CStride>>;
+/// A column-major 2x5 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView2x5<'a, T, RStride = U1, CStride = U2> =
+    Matrix<T, U2, U5, ViewStorage<'a, T, U2, U5, RStride, CStride>>;
+/// A column-major 2x6 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView2x6<'a, T, RStride = U1, CStride = U2> =
+    Matrix<T, U2, U6, ViewStorage<'a, T, U2, U6, RStride, CStride>>;
+
+/// A column-major 3x1 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView3x1<'a, T, RStride = U1, CStride = U3> =
+    Matrix<T, U3, U1, ViewStorage<'a, T, U3, U1, RStride, CStride>>;
+/// A column-major 3x2 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView3x2<'a, T, RStride = U1, CStride = U3> =
+    Matrix<T, U3, U2, ViewStorage<'a, T, U3, U2, RStride, CStride>>;
+/// A column-major 3x4 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView3x4<'a, T, RStride = U1, CStride = U3> =
+    Matrix<T, U3, U4, ViewStorage<'a, T, U3, U4, RStride, CStride>>;
+/// A column-major 3x5 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView3x5<'a, T, RStride = U1, CStride = U3> =
+    Matrix<T, U3, U5, ViewStorage<'a, T, U3, U5, RStride, CStride>>;
+/// A column-major 3x6 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView3x6<'a, T, RStride = U1, CStride = U3> =
+    Matrix<T, U3, U6, ViewStorage<'a, T, U3, U6, RStride, CStride>>;
+
+/// A column-major 4x1 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView4x1<'a, T, RStride = U1, CStride = U4> =
+    Matrix<T, U4, U1, ViewStorage<'a, T, U4, U1, RStride, CStride>>;
+/// A column-major 4x2 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView4x2<'a, T, RStride = U1, CStride = U4> =
+    Matrix<T, U4, U2, ViewStorage<'a, T, U4, U2, RStride, CStride>>;
+/// A column-major 4x3 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView4x3<'a, T, RStride = U1, CStride = U4> =
+    Matrix<T, U4, U3, ViewStorage<'a, T, U4, U3, RStride, CStride>>;
+/// A column-major 4x5 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView4x5<'a, T, RStride = U1, CStride = U4> =
+    Matrix<T, U4, U5, ViewStorage<'a, T, U4, U5, RStride, CStride>>;
+/// A column-major 4x6 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView4x6<'a, T, RStride = U1, CStride = U4> =
+    Matrix<T, U4, U6, ViewStorage<'a, T, U4, U6, RStride, CStride>>;
+
+/// A column-major 5x1 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView5x1<'a, T, RStride = U1, CStride = U5> =
+    Matrix<T, U5, U1, ViewStorage<'a, T, U5, U1, RStride, CStride>>;
+/// A column-major 5x2 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView5x2<'a, T, RStride = U1, CStride = U5> =
+    Matrix<T, U5, U2, ViewStorage<'a, T, U5, U2, RStride, CStride>>;
+/// A column-major 5x3 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView5x3<'a, T, RStride = U1, CStride = U5> =
+    Matrix<T, U5, U3, ViewStorage<'a, T, U5, U3, RStride, CStride>>;
+/// A column-major 5x4 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView5x4<'a, T, RStride = U1, CStride = U5> =
+    Matrix<T, U5, U4, ViewStorage<'a, T, U5, U4, RStride, CStride>>;
+/// A column-major 5x6 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView5x6<'a, T, RStride = U1, CStride = U5> =
+    Matrix<T, U5, U6, ViewStorage<'a, T, U5, U6, RStride, CStride>>;
+
+/// A column-major 6x1 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView6x1<'a, T, RStride = U1, CStride = U6> =
+    Matrix<T, U6, U1, ViewStorage<'a, T, U6, U1, RStride, CStride>>;
+/// A column-major 6x2 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView6x2<'a, T, RStride = U1, CStride = U6> =
+    Matrix<T, U6, U2, ViewStorage<'a, T, U6, U2, RStride, CStride>>;
+/// A column-major 6x3 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView6x3<'a, T, RStride = U1, CStride = U6> =
+    Matrix<T, U6, U3, ViewStorage<'a, T, U6, U3, RStride, CStride>>;
+/// A column-major 6x4 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView6x4<'a, T, RStride = U1, CStride = U6> =
+    Matrix<T, U6, U4, ViewStorage<'a, T, U6, U4, RStride, CStride>>;
+/// A column-major 6x5 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixView6x5<'a, T, RStride = U1, CStride = U6> =
+    Matrix<T, U6, U5, ViewStorage<'a, T, U6, U5, RStride, CStride>>;
+
+/// A column-major matrix view with 1 row and a number of columns chosen at runtime.
+pub type MatrixView1xX<'a, T, RStride = U1, CStride = U1> =
+    Matrix<T, U1, Dynamic, ViewStorage<'a, T, U1, Dynamic, RStride, CStride>>;
+/// A column-major matrix view with 2 rows and a number of columns chosen at runtime.
+pub type MatrixView2xX<'a, T, RStride = U1, CStride = U2> =
+    Matrix<T, U2, Dynamic, ViewStorage<'a, T, U2, Dynamic, RStride, CStride>>;
+/// A column-major matrix view with 3 rows and a number of columns chosen at runtime.
+pub type MatrixView3xX<'a, T, RStride = U1, CStride = U3> =
+    Matrix<T, U3, Dynamic, ViewStorage<'a, T, U3, Dynamic, RStride, CStride>>;
+/// A column-major matrix view with 4 rows and a number of columns chosen at runtime.
+pub type MatrixView4xX<'a, T, RStride = U1, CStride = U4> =
+    Matrix<T, U4, Dynamic, ViewStorage<'a, T, U4, Dynamic, RStride, CStride>>;
+/// A column-major matrix view with 5 rows and a number of columns chosen at runtime.
+pub type MatrixView5xX<'a, T, RStride = U1, CStride = U5> =
+    Matrix<T, U5, Dynamic, ViewStorage<'a, T, U5, Dynamic, RStride, CStride>>;
+/// A column-major matrix view with 6 rows and a number of columns chosen at runtime.
+pub type MatrixView6xX<'a, T, RStride = U1, CStride = U6> =
+    Matrix<T, U6, Dynamic, ViewStorage<'a, T, U6, Dynamic, RStride, CStride>>;
+
+/// A column-major matrix view with a number of rows chosen at runtime and 1 column.
+pub type MatrixViewXx1<'a, T, RStride = U1, CStride = Dynamic> =
+    Matrix<T, Dynamic, U1, ViewStorage<'a, T, Dynamic, U1, RStride, CStride>>;
+/// A column-major matrix view with a number of rows chosen at runtime and 2 columns.
+pub type MatrixViewXx2<'a, T, RStride = U1, CStride = Dynamic> =
+    Matrix<T, Dynamic, U2, ViewStorage<'a, T, Dynamic, U2, RStride, CStride>>;
+/// A column-major matrix view with a number of rows chosen at runtime and 3 columns.
+pub type MatrixViewXx3<'a, T, RStride = U1, CStride = Dynamic> =
+    Matrix<T, Dynamic, U3, ViewStorage<'a, T, Dynamic, U3, RStride, CStride>>;
+/// A column-major matrix view with a number of rows chosen at runtime and 4 columns.
+pub type MatrixViewXx4<'a, T, RStride = U1, CStride = Dynamic> =
+    Matrix<T, Dynamic, U4, ViewStorage<'a, T, Dynamic, U4, RStride, CStride>>;
+/// A column-major matrix view with a number of rows chosen at runtime and 5 columns.
+pub type MatrixViewXx5<'a, T, RStride = U1, CStride = Dynamic> =
+    Matrix<T, Dynamic, U5, ViewStorage<'a, T, Dynamic, U5, RStride, CStride>>;
+/// A column-major matrix view with a number of rows chosen at runtime and 6 columns.
+pub type MatrixViewXx6<'a, T, RStride = U1, CStride = Dynamic> =
+    Matrix<T, Dynamic, U6, ViewStorage<'a, T, Dynamic, U6, RStride, CStride>>;
+
+/// A column vector view with dimensions known at compile-time.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type VectorView<'a, T, D, RStride = U1, CStride = D> =
+    Matrix<T, D, U1, ViewStorage<'a, T, D, U1, RStride, CStride>>;
+
+/// A column vector view with dimensions known at compile-time.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type SVectorView<'a, T, const D: usize> =
+    Matrix<T, Const<D>, Const<1>, ViewStorage<'a, T, Const<D>, Const<1>, Const<1>, Const<D>>>;
+
+/// A column vector view dynamic numbers of rows and columns.
+pub type DVectorView<'a, T, RStride = U1, CStride = Dynamic> =
+    Matrix<T, Dynamic, U1, ViewStorage<'a, T, Dynamic, U1, RStride, CStride>>;
+
+/// A 1D column vector view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type VectorView1<'a, T, RStride = U1, CStride = U1> =
+    Matrix<T, U1, U1, ViewStorage<'a, T, U1, U1, RStride, CStride>>;
+/// A 2D column vector view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type VectorView2<'a, T, RStride = U1, CStride = U2> =
+    Matrix<T, U2, U1, ViewStorage<'a, T, U2, U1, RStride, CStride>>;
+/// A 3D column vector view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type VectorView3<'a, T, RStride = U1, CStride = U3> =
+    Matrix<T, U3, U1, ViewStorage<'a, T, U3, U1, RStride, CStride>>;
+/// A 4D column vector view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type VectorView4<'a, T, RStride = U1, CStride = U4> =
+    Matrix<T, U4, U1, ViewStorage<'a, T, U4, U1, RStride, CStride>>;
+/// A 5D column vector view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type VectorView5<'a, T, RStride = U1, CStride = U5> =
+    Matrix<T, U5, U1, ViewStorage<'a, T, U5, U1, RStride, CStride>>;
+/// A 6D column vector view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type VectorView6<'a, T, RStride = U1, CStride = U6> =
+    Matrix<T, U6, U1, ViewStorage<'a, T, U6, U1, RStride, CStride>>;
+
+/*
+ *
+ *
+ * Same thing, but for mutable views.
+ *
+ *
+ */
+
+/// A column-major matrix view with dimensions known at compile-time.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type SMatrixViewMut<'a, T, const R: usize, const C: usize> =
+    Matrix<T, Const<R>, Const<C>, ViewStorageMut<'a, T, Const<R>, Const<C>, Const<1>, Const<R>>>;
+
+/// A column-major matrix view dynamic numbers of rows and columns.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type DMatrixViewMut<'a, T, RStride = U1, CStride = Dynamic> =
+    Matrix<T, Dynamic, Dynamic, ViewStorageMut<'a, T, Dynamic, Dynamic, RStride, CStride>>;
+
+/// A column-major 1x1 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut1<'a, T, RStride = U1, CStride = U1> =
+    Matrix<T, U1, U1, ViewStorageMut<'a, T, U1, U1, RStride, CStride>>;
+/// A column-major 2x2 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut2<'a, T, RStride = U1, CStride = U2> =
+    Matrix<T, U2, U2, ViewStorageMut<'a, T, U2, U2, RStride, CStride>>;
+/// A column-major 3x3 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut3<'a, T, RStride = U1, CStride = U3> =
+    Matrix<T, U3, U3, ViewStorageMut<'a, T, U3, U3, RStride, CStride>>;
+/// A column-major 4x4 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut4<'a, T, RStride = U1, CStride = U4> =
+    Matrix<T, U4, U4, ViewStorageMut<'a, T, U4, U4, RStride, CStride>>;
+/// A column-major 5x5 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut5<'a, T, RStride = U1, CStride = U5> =
+    Matrix<T, U5, U5, ViewStorageMut<'a, T, U5, U5, RStride, CStride>>;
+/// A column-major 6x6 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut6<'a, T, RStride = U1, CStride = U6> =
+    Matrix<T, U6, U6, ViewStorageMut<'a, T, U6, U6, RStride, CStride>>;
+
+/// A column-major 1x2 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut1x2<'a, T, RStride = U1, CStride = U1> =
+    Matrix<T, U1, U2, ViewStorageMut<'a, T, U1, U2, RStride, CStride>>;
+/// A column-major 1x3 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut1x3<'a, T, RStride = U1, CStride = U1> =
+    Matrix<T, U1, U3, ViewStorageMut<'a, T, U1, U3, RStride, CStride>>;
+/// A column-major 1x4 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut1x4<'a, T, RStride = U1, CStride = U1> =
+    Matrix<T, U1, U4, ViewStorageMut<'a, T, U1, U4, RStride, CStride>>;
+/// A column-major 1x5 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut1x5<'a, T, RStride = U1, CStride = U1> =
+    Matrix<T, U1, U5, ViewStorageMut<'a, T, U1, U5, RStride, CStride>>;
+/// A column-major 1x6 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut1x6<'a, T, RStride = U1, CStride = U1> =
+    Matrix<T, U1, U6, ViewStorageMut<'a, T, U1, U6, RStride, CStride>>;
+
+/// A column-major 2x1 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut2x1<'a, T, RStride = U1, CStride = U2> =
+    Matrix<T, U2, U1, ViewStorageMut<'a, T, U2, U1, RStride, CStride>>;
+/// A column-major 2x3 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut2x3<'a, T, RStride = U1, CStride = U2> =
+    Matrix<T, U2, U3, ViewStorageMut<'a, T, U2, U3, RStride, CStride>>;
+/// A column-major 2x4 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut2x4<'a, T, RStride = U1, CStride = U2> =
+    Matrix<T, U2, U4, ViewStorageMut<'a, T, U2, U4, RStride, CStride>>;
+/// A column-major 2x5 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut2x5<'a, T, RStride = U1, CStride = U2> =
+    Matrix<T, U2, U5, ViewStorageMut<'a, T, U2, U5, RStride, CStride>>;
+/// A column-major 2x6 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut2x6<'a, T, RStride = U1, CStride = U2> =
+    Matrix<T, U2, U6, ViewStorageMut<'a, T, U2, U6, RStride, CStride>>;
+
+/// A column-major 3x1 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut3x1<'a, T, RStride = U1, CStride = U3> =
+    Matrix<T, U3, U1, ViewStorageMut<'a, T, U3, U1, RStride, CStride>>;
+/// A column-major 3x2 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut3x2<'a, T, RStride = U1, CStride = U3> =
+    Matrix<T, U3, U2, ViewStorageMut<'a, T, U3, U2, RStride, CStride>>;
+/// A column-major 3x4 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut3x4<'a, T, RStride = U1, CStride = U3> =
+    Matrix<T, U3, U4, ViewStorageMut<'a, T, U3, U4, RStride, CStride>>;
+/// A column-major 3x5 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut3x5<'a, T, RStride = U1, CStride = U3> =
+    Matrix<T, U3, U5, ViewStorageMut<'a, T, U3, U5, RStride, CStride>>;
+/// A column-major 3x6 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut3x6<'a, T, RStride = U1, CStride = U3> =
+    Matrix<T, U3, U6, ViewStorageMut<'a, T, U3, U6, RStride, CStride>>;
+
+/// A column-major 4x1 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut4x1<'a, T, RStride = U1, CStride = U4> =
+    Matrix<T, U4, U1, ViewStorageMut<'a, T, U4, U1, RStride, CStride>>;
+/// A column-major 4x2 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut4x2<'a, T, RStride = U1, CStride = U4> =
+    Matrix<T, U4, U2, ViewStorageMut<'a, T, U4, U2, RStride, CStride>>;
+/// A column-major 4x3 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut4x3<'a, T, RStride = U1, CStride = U4> =
+    Matrix<T, U4, U3, ViewStorageMut<'a, T, U4, U3, RStride, CStride>>;
+/// A column-major 4x5 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut4x5<'a, T, RStride = U1, CStride = U4> =
+    Matrix<T, U4, U5, ViewStorageMut<'a, T, U4, U5, RStride, CStride>>;
+/// A column-major 4x6 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut4x6<'a, T, RStride = U1, CStride = U4> =
+    Matrix<T, U4, U6, ViewStorageMut<'a, T, U4, U6, RStride, CStride>>;
+
+/// A column-major 5x1 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut5x1<'a, T, RStride = U1, CStride = U5> =
+    Matrix<T, U5, U1, ViewStorageMut<'a, T, U5, U1, RStride, CStride>>;
+/// A column-major 5x2 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut5x2<'a, T, RStride = U1, CStride = U5> =
+    Matrix<T, U5, U2, ViewStorageMut<'a, T, U5, U2, RStride, CStride>>;
+/// A column-major 5x3 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut5x3<'a, T, RStride = U1, CStride = U5> =
+    Matrix<T, U5, U3, ViewStorageMut<'a, T, U5, U3, RStride, CStride>>;
+/// A column-major 5x4 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut5x4<'a, T, RStride = U1, CStride = U5> =
+    Matrix<T, U5, U4, ViewStorageMut<'a, T, U5, U4, RStride, CStride>>;
+/// A column-major 5x6 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut5x6<'a, T, RStride = U1, CStride = U5> =
+    Matrix<T, U5, U6, ViewStorageMut<'a, T, U5, U6, RStride, CStride>>;
+
+/// A column-major 6x1 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut6x1<'a, T, RStride = U1, CStride = U6> =
+    Matrix<T, U6, U1, ViewStorageMut<'a, T, U6, U1, RStride, CStride>>;
+/// A column-major 6x2 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut6x2<'a, T, RStride = U1, CStride = U6> =
+    Matrix<T, U6, U2, ViewStorageMut<'a, T, U6, U2, RStride, CStride>>;
+/// A column-major 6x3 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut6x3<'a, T, RStride = U1, CStride = U6> =
+    Matrix<T, U6, U3, ViewStorageMut<'a, T, U6, U3, RStride, CStride>>;
+/// A column-major 6x4 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut6x4<'a, T, RStride = U1, CStride = U6> =
+    Matrix<T, U6, U4, ViewStorageMut<'a, T, U6, U4, RStride, CStride>>;
+/// A column-major 6x5 matrix view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type MatrixViewMut6x5<'a, T, RStride = U1, CStride = U6> =
+    Matrix<T, U6, U5, ViewStorageMut<'a, T, U6, U5, RStride, CStride>>;
+
+/// A column-major matrix view with 1 row and a number of columns chosen at runtime.
+pub type MatrixViewMut1xX<'a, T, RStride = U1, CStride = U1> =
+    Matrix<T, U1, Dynamic, ViewStorageMut<'a, T, U1, Dynamic, RStride, CStride>>;
+/// A column-major matrix view with 2 rows and a number of columns chosen at runtime.
+pub type MatrixViewMut2xX<'a, T, RStride = U1, CStride = U2> =
+    Matrix<T, U2, Dynamic, ViewStorageMut<'a, T, U2, Dynamic, RStride, CStride>>;
+/// A column-major matrix view with 3 rows and a number of columns chosen at runtime.
+pub type MatrixViewMut3xX<'a, T, RStride = U1, CStride = U3> =
+    Matrix<T, U3, Dynamic, ViewStorageMut<'a, T, U3, Dynamic, RStride, CStride>>;
+/// A column-major matrix view with 4 rows and a number of columns chosen at runtime.
+pub type MatrixViewMut4xX<'a, T, RStride = U1, CStride = U4> =
+    Matrix<T, U4, Dynamic, ViewStorageMut<'a, T, U4, Dynamic, RStride, CStride>>;
+/// A column-major matrix view with 5 rows and a number of columns chosen at runtime.
+pub type MatrixViewMut5xX<'a, T, RStride = U1, CStride = U5> =
+    Matrix<T, U5, Dynamic, ViewStorageMut<'a, T, U5, Dynamic, RStride, CStride>>;
+/// A column-major matrix view with 6 rows and a number of columns chosen at runtime.
+pub type MatrixViewMut6xX<'a, T, RStride = U1, CStride = U6> =
+    Matrix<T, U6, Dynamic, ViewStorageMut<'a, T, U6, Dynamic, RStride, CStride>>;
+
+/// A column-major matrix view with a number of rows chosen at runtime and 1 column.
+pub type MatrixViewMutXx1<'a, T, RStride = U1, CStride = Dynamic> =
+    Matrix<T, Dynamic, U1, ViewStorageMut<'a, T, Dynamic, U1, RStride, CStride>>;
+/// A column-major matrix view with a number of rows chosen at runtime and 2 columns.
+pub type MatrixViewMutXx2<'a, T, RStride = U1, CStride = Dynamic> =
+    Matrix<T, Dynamic, U2, ViewStorageMut<'a, T, Dynamic, U2, RStride, CStride>>;
+/// A column-major matrix view with a number of rows chosen at runtime and 3 columns.
+pub type MatrixViewMutXx3<'a, T, RStride = U1, CStride = Dynamic> =
+    Matrix<T, Dynamic, U3, ViewStorageMut<'a, T, Dynamic, U3, RStride, CStride>>;
+/// A column-major matrix view with a number of rows chosen at runtime and 4 columns.
+pub type MatrixViewMutXx4<'a, T, RStride = U1, CStride = Dynamic> =
+    Matrix<T, Dynamic, U4, ViewStorageMut<'a, T, Dynamic, U4, RStride, CStride>>;
+/// A column-major matrix view with a number of rows chosen at runtime and 5 columns.
+pub type MatrixViewMutXx5<'a, T, RStride = U1, CStride = Dynamic> =
+    Matrix<T, Dynamic, U5, ViewStorageMut<'a, T, Dynamic, U5, RStride, CStride>>;
+/// A column-major matrix view with a number of rows chosen at runtime and 6 columns.
+pub type MatrixViewMutXx6<'a, T, RStride = U1, CStride = Dynamic> =
+    Matrix<T, Dynamic, U6, ViewStorageMut<'a, T, Dynamic, U6, RStride, CStride>>;
+
+/// A column vector view with dimensions known at compile-time.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type VectorViewMut<'a, T, D, RStride = U1, CStride = D> =
+    Matrix<T, D, U1, ViewStorageMut<'a, T, D, U1, RStride, CStride>>;
+
+/// A column vector view with dimensions known at compile-time.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type SVectorViewMut<'a, T, const D: usize> =
+    Matrix<T, Const<D>, Const<1>, ViewStorageMut<'a, T, Const<D>, Const<1>, Const<1>, Const<D>>>;
+
+/// A column vector view dynamic numbers of rows and columns.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type DVectorViewMut<'a, T, RStride = U1, CStride = Dynamic> =
+    Matrix<T, Dynamic, U1, ViewStorageMut<'a, T, Dynamic, U1, RStride, CStride>>;
+
+/// A 1D column vector view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type VectorViewMut1<'a, T, RStride = U1, CStride = U1> =
+    Matrix<T, U1, U1, ViewStorageMut<'a, T, U1, U1, RStride, CStride>>;
+/// A 2D column vector view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type VectorViewMut2<'a, T, RStride = U1, CStride = U2> =
+    Matrix<T, U2, U1, ViewStorageMut<'a, T, U2, U1, RStride, CStride>>;
+/// A 3D column vector view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type VectorViewMut3<'a, T, RStride = U1, CStride = U3> =
+    Matrix<T, U3, U1, ViewStorageMut<'a, T, U3, U1, RStride, CStride>>;
+/// A 4D column vector view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type VectorViewMut4<'a, T, RStride = U1, CStride = U4> =
+    Matrix<T, U4, U1, ViewStorageMut<'a, T, U4, U1, RStride, CStride>>;
+/// A 5D column vector view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type VectorViewMut5<'a, T, RStride = U1, CStride = U5> =
+    Matrix<T, U5, U1, ViewStorageMut<'a, T, U5, U1, RStride, CStride>>;
+/// A 6D column vector view.
+///
+/// **Because this is an alias, not all its methods are listed here. See the [`Matrix`](crate::base::Matrix) type too.**
+pub type VectorViewMut6<'a, T, RStride = U1, CStride = U6> =
+    Matrix<T, U6, U1, ViewStorageMut<'a, T, U6, U1, RStride, CStride>>;
diff --git a/src/base/mod.rs b/src/base/mod.rs
index ed1b5d44..6fb3685d 100644
--- a/src/base/mod.rs
+++ b/src/base/mod.rs
@@ -12,6 +12,7 @@ pub mod storage;
 
 mod alias;
 mod alias_slice;
+mod alias_view;
 mod array_storage;
 mod cg;
 mod componentwise;
@@ -51,6 +52,7 @@ pub use self::dimension::*;
 
 pub use self::alias::*;
 pub use self::alias_slice::*;
+pub use self::alias_view::*;
 pub use self::array_storage::*;
 pub use self::matrix_view::*;
 pub use self::storage::*;