Math: added convenience MatrixNxN aliases for RectangularMatrix.

They were already in Magnum namespace for floats and doubles, now they
can be used also for generic type (e.g. use `Math::Matrix2x3<T>` instead
of overly verbose `Math::RectangularMatrix<2, 3, T>`). GCC 4.7+ only.

doc/matrix-vector.dox

@@ -101,8 +101,8 @@ auto diag2 = Matrix3::fromDiagonal({3.0f, 2.0f, 1.0f});
 It is possible to create matrices from other matrices and vectors with the same
 row count; vectors from vector and scalar:
 @code
-Math::RectangularMatrix<2, 3, Int> a;
-Math::Vector<3, Int> b, c;
+Math::Matrix2x3<Int> a;
+Math::Vector3<Int> b, c;
 Math::Matrix3<Int> mat(a, b);
 Math::Vector<8, Int> vec(1, b, 2, c);
 @endcode
@@ -115,7 +115,7 @@ on the array itself:
 @code
 Int[] mat = { 2, 4, 6,
               1, 3, 5 };
-RectangularMatrix<2, 3, Int>::from(mat) *= 2; // mat == { 4, 8, 12, 2, 6, 10 }
+Math::Matrix2x3<Int>::from(mat) *= 2; // mat == { 4, 8, 12, 2, 6, 10 }
 @endcode
 Note that unlike constructors, this function has no way to check whether the
 array is long enough to contain all elements, so use with caution.
@@ -235,7 +235,7 @@ implications and it may differ from what is common in mathematics:
 - Order of template arguments in specification of @ref Math::RectangularMatrix
   is also column-major:
 @code
-Math::RectangularMatrix<2, 3, Int> mat; // two columns, three rows
+Math::RectangularMatrix<2, 5, Int> mat; // two columns, five rows
 @endcode
 - Order of components in matrix constructors is also column-major, further
   emphasized by requirement that you have to pass directly column vectors:

src/Magnum.h

@@ -195,22 +195,46 @@ typedef Math::Matrix3<Float> Matrix3;
 typedef Math::Matrix4<Float> Matrix4;
 
 /** @brief Float matrix with 2 columns and 3 rows */
+#ifndef CORRADE_GCC46_COMPATIBILITY
+typedef Math::Matrix2x3<Float> Matrix2x3;
+#else
 typedef Math::RectangularMatrix<2, 3, Float> Matrix2x3;
+#endif
 
 /** @brief Float matrix with 3 columns and 2 rows */
+#ifndef CORRADE_GCC46_COMPATIBILITY
+typedef Math::Matrix3x2<Float> Matrix3x2;
+#else
 typedef Math::RectangularMatrix<3, 2, Float> Matrix3x2;
+#endif
 
 /** @brief Float matrix with 2 columns and 4 rows */
+#ifndef CORRADE_GCC46_COMPATIBILITY
+typedef Math::Matrix2x4<Float> Matrix2x4;
+#else
 typedef Math::RectangularMatrix<2, 4, Float> Matrix2x4;
+#endif
 
 /** @brief Float matrix with 4 columns and 2 rows */
+#ifndef CORRADE_GCC46_COMPATIBILITY
+typedef Math::Matrix4x2<Float> Matrix4x2;
+#else
 typedef Math::RectangularMatrix<4, 2, Float> Matrix4x2;
+#endif
 
 /** @brief Float matrix with 3 columns and 4 rows */
+#ifndef CORRADE_GCC46_COMPATIBILITY
+typedef Math::Matrix3x4<Float> Matrix3x4;
+#else
 typedef Math::RectangularMatrix<3, 4, Float> Matrix3x4;
+#endif
 
 /** @brief Float matrix with 4 columns and 3 rows */
+#ifndef CORRADE_GCC46_COMPATIBILITY
+typedef Math::Matrix4x3<Float> Matrix4x3;
+#else
 typedef Math::RectangularMatrix<4, 3, Float> Matrix4x3;
+#endif
 
 /** @brief Float complex number */
 typedef Math::Complex<Float> Complex;
@@ -270,22 +294,46 @@ typedef Math::Matrix3<Double> Matrix3d;
 typedef Math::Matrix4<Double> Matrix4d;
 
 /** @brief Double matrix with 2 columns and 3 rows */
+#ifndef CORRADE_GCC46_COMPATIBILITY
+typedef Math::Matrix2x3<Double> Matrix2x3d;
+#else
 typedef Math::RectangularMatrix<2, 3, Double> Matrix2x3d;
+#endif
 
 /** @brief Double matrix with 3 columns and 2 rows */
+#ifndef CORRADE_GCC46_COMPATIBILITY
+typedef Math::Matrix3x2<Double> Matrix3x2d;
+#else
 typedef Math::RectangularMatrix<3, 2, Double> Matrix3x2d;
+#endif
 
 /** @brief Double matrix with 2 columns and 4 rows */
+#ifndef CORRADE_GCC46_COMPATIBILITY
+typedef Math::Matrix2x4<Double> Matrix2x4d;
+#else
 typedef Math::RectangularMatrix<2, 4, Double> Matrix2x4d;
+#endif
 
 /** @brief Double matrix with 4 columns and 2 rows */
+#ifndef CORRADE_GCC46_COMPATIBILITY
+typedef Math::Matrix4x2<Double> Matrix4x2d;
+#else
 typedef Math::RectangularMatrix<4, 2, Double> Matrix4x2d;
+#endif
 
 /** @brief Double matrix with 3 columns and 4 rows */
+#ifndef CORRADE_GCC46_COMPATIBILITY
+typedef Math::Matrix3x4<Double> Matrix3x4d;
+#else
 typedef Math::RectangularMatrix<3, 4, Double> Matrix3x4d;
+#endif
 
 /** @brief Double matrix with 4 columns and 3 rows */
+#ifndef CORRADE_GCC46_COMPATIBILITY
+typedef Math::Matrix4x3<Double> Matrix4x3d;
+#else
 typedef Math::RectangularMatrix<4, 3, Double> Matrix4x3d;
+#endif
 
 /** @brief Double complex number */
 typedef Math::Complex<Double> Complexd;

src/Math/Math.h

@@ -30,6 +30,8 @@
 
 #include <cstddef>
 
+#include "corradeConfigure.h"
+
 namespace Magnum { namespace Math {
 
 /** @todo Denormals to zero */
@@ -48,6 +50,14 @@ template<class> class Matrix4;
 template<class> class Quaternion;
 
 template<std::size_t, std::size_t, class> class RectangularMatrix;
+#ifndef CORRADE_GCC46_COMPATIBILITY
+template<class T> using Matrix2x3 = RectangularMatrix<2, 3, T>;
+template<class T> using Matrix3x2 = RectangularMatrix<3, 2, T>;
+template<class T> using Matrix2x4 = RectangularMatrix<2, 4, T>;
+template<class T> using Matrix4x2 = RectangularMatrix<4, 2, T>;
+template<class T> using Matrix3x4 = RectangularMatrix<3, 4, T>;
+template<class T> using Matrix4x3 = RectangularMatrix<4, 3, T>;
+#endif
 
 template<template<class> class, class> class Unit;
 template<class> class Deg;

src/Math/RectangularMatrix.h

@@ -48,9 +48,8 @@ Vector.
 The data are stored in column-major order, to reflect that, all indices in
 math formulas are in reverse order (i.e. @f$ \boldsymbol A_{ji} @f$ instead
 of @f$ \boldsymbol A_{ij} @f$).
-@see Magnum::Matrix2x3, Magnum::Matrix3x2, Magnum::Matrix2x4, Magnum::Matrix4x2,
-    Magnum::Matrix3x4, Magnum::Matrix4x3, Magnum::Matrix2x3d, Magnum::Matrix3x2d,
-    Magnum::Matrix2x4d, Magnum::Matrix4x2d, Magnum::Matrix3x4d, Magnum::Matrix4x3d
+@see @ref Matrix2x3, @ref Matrix3x2, @ref Matrix2x4, @ref Matrix4x2,
+    @ref Matrix3x4, @ref Matrix4x3
 */
 template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
     static_assert(cols != 0 && rows != 0, "RectangularMatrix cannot have zero elements");
@@ -367,6 +366,74 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
         Vector<rows, T> _data[cols];
 };
 
+#ifndef CORRADE_GCC46_COMPATIBILITY
+/**
+@brief Matrix with 2 columns and 3 rows
+
+Convenience alternative to <tt>%RectangularMatrix<2, 3, T></tt>. See
+@ref RectangularMatrix for more information.
+@note Not available on GCC < 4.7. Use <tt>%RectangularMatrix<2, 3, T></tt>
+    instead.
+@see @ref Magnum::Matrix2x3, @ref Magnum::Matrix2x3d
+*/
+template<class T> using Matrix2x3 = RectangularMatrix<2, 3, T>;
+
+/**
+@brief Matrix with 3 columns and 2 rows
+
+Convenience alternative to <tt>%RectangularMatrix<3, 2, T></tt>. See
+@ref RectangularMatrix for more information.
+@note Not available on GCC < 4.7. Use <tt>%RectangularMatrix<3, 2, T></tt>
+    instead.
+@see @ref Magnum::Matrix3x2, @ref Magnum::Matrix3x2d
+*/
+template<class T> using Matrix3x2 = RectangularMatrix<3, 2, T>;
+
+/**
+@brief Matrix with 2 columns and 4 rows
+
+Convenience alternative to <tt>%RectangularMatrix<2, 4, T></tt>. See
+@ref RectangularMatrix for more information.
+@note Not available on GCC < 4.7. Use <tt>%RectangularMatrix<2, 4, T></tt>
+    instead.
+@see @ref Magnum::Matrix2x4, @ref Magnum::Matrix2x4d
+*/
+template<class T> using Matrix2x4 = RectangularMatrix<2, 4, T>;
+
+/**
+@brief Matrix with 4 columns and 2 rows
+
+Convenience alternative to <tt>%RectangularMatrix<4, 2, T></tt>. See
+@ref RectangularMatrix for more information.
+@note Not available on GCC < 4.7. Use <tt>%RectangularMatrix<4, 2, T></tt>
+    instead.
+@see @ref Magnum::Matrix4x2, @ref Magnum::Matrix4x2d
+*/
+template<class T> using Matrix4x2 = RectangularMatrix<4, 2, T>;
+
+/**
+@brief Matrix with 3 columns and 4 rows
+
+Convenience alternative to <tt>%RectangularMatrix<3, 4, T></tt>. See
+@ref RectangularMatrix for more information.
+@note Not available on GCC < 4.7. Use <tt>%RectangularMatrix<3, 4, T></tt>
+    instead.
+@see @ref Magnum::Matrix3x4, @ref Magnum::Matrix3x4d
+*/
+template<class T> using Matrix3x4 = RectangularMatrix<3, 4, T>;
+
+/**
+@brief Matrix with 4 columns and 3 rows
+
+Convenience alternative to <tt>%RectangularMatrix<4, 3, T></tt>. See
+@ref RectangularMatrix for more information.
+@note Not available on GCC < 4.7. Use <tt>%RectangularMatrix<4, 3, T></tt>
+    instead.
+@see @ref Magnum::Matrix4x3, @ref Magnum::Matrix4x3d
+*/
+template<class T> using Matrix4x3 = RectangularMatrix<4, 3, T>;
+#endif
+
 /** @relates RectangularMatrix
 @brief Multiply number with matrix