Convenience functions for accessing Matrix[34] vectors.

src/Math/Matrix3.h

@@ -127,21 +127,31 @@ template<class T> class Matrix3: public Matrix<3, T> {
         }
 
         /**
-         * @brief 2D translation part of the matrix
+         * @brief Right-pointing 2D vector
          *
-         * First two elements of last column.
-         * @see translation(const Vector2&), Matrix4::translation()
+         * First two elements of first column.
+         * @see Vector2::xAxis()
          */
-        inline Vector2<T>& translation() {
-            return (*this)[2].xy();
-        }
+        inline Vector2<T>& right() { return (*this)[0].xy(); }
+        inline constexpr Vector2<T> right() const { return (*this)[0].xy(); } /**< @overload */
 
-        /** @overload */
-        inline constexpr Vector2<T> translation() const {
-            return (*this)[2].xy();
-        }
+        /**
+         * @brief Up-pointing 2D vector
+         *
+         * First two elements of second column.
+         * @see Vector2::yAxis()
+         */
+        inline Vector2<T>& up() { return (*this)[1].xy(); }
+        inline constexpr Vector2<T> up() const { return (*this)[1].xy(); } /**< @overload */
 
-        /** @todo up(), right() */
+        /**
+         * @brief 2D translation part of the matrix
+         *
+         * First two elements of third column.
+         * @see translation(const Vector2&), Matrix4::translation()
+         */
+        inline Vector2<T>& translation() { return (*this)[2].xy(); }
+        inline constexpr Vector2<T> translation() const { return (*this)[2].xy(); } /**< @overload */
 
         #ifndef DOXYGEN_GENERATING_OUTPUT
         inline Point2D<T> operator*(const Point2D<T>& other) const {

src/Math/Matrix4.h

@@ -223,22 +223,42 @@ template<class T> class Matrix4: public Matrix<4, T> {
                 (*this)[2].xyz().normalized());
         }
 
+
         /**
-         * @brief 3D translation part of the matrix
+         * @brief Right-pointing 3D vector
          *
-         * First three elements of last column.
-         * @see translation(const Vector3&), Matrix3::translation()
+         * First three elements of first column.
+         * @see Vector3::xAxis()
          */
-        inline Vector3<T>& translation() {
-            return (*this)[3].xyz();
-        }
+        inline Vector3<T>& right() { return (*this)[0].xyz(); }
+        inline constexpr Vector3<T> right() const { return (*this)[0].xyz(); } /**< @overload */
 
-        /** @overload */
-        inline constexpr Vector3<T> translation() const {
-            return (*this)[3].xyz();
-        }
+        /**
+         * @brief Up-pointing 3D vector
+         *
+         * First three elements of second column.
+         * @see Vector3::yAxis()
+         */
+        inline Vector3<T>& up() { return (*this)[1].xyz(); }
+        inline constexpr Vector3<T> up() const { return (*this)[1].xyz(); } /**< @overload */
 
-        /** @todo up(), forward(), right() */
+        /**
+         * @brief Backward-pointing 3D vector
+         *
+         * First three elements of third column.
+         * @see Vector3::yAxis()
+         */
+        inline Vector3<T>& backward() { return (*this)[2].xyz(); }
+        inline constexpr Vector3<T> backward() const { return (*this)[2].xyz(); } /**< @overload */
+
+        /**
+         * @brief 3D translation part of the matrix
+         *
+         * First three elements of fourth column.
+         * @see translation(const Vector3&), Matrix3::translation()
+         */
+        inline Vector3<T>& translation() { return (*this)[3].xyz(); }
+        inline constexpr Vector3<T> translation() const { return (*this)[3].xyz(); } /**< @overload */
 
         #ifndef DOXYGEN_GENERATING_OUTPUT
         inline Point3D<T> operator*(const Point3D<T>& other) const {

src/Math/Test/Matrix3Test.cpp

@@ -38,7 +38,7 @@ Matrix3Test::Matrix3Test() {
              &Matrix3Test::rotation,
              &Matrix3Test::rotationScalingPart,
              &Matrix3Test::rotationPart,
-             &Matrix3Test::translationPart,
+             &Matrix3Test::vectorParts,
              &Matrix3Test::debug,
              &Matrix3Test::configuration);
 }
@@ -123,12 +123,14 @@ void Matrix3Test::rotationPart() {
     CORRADE_COMPARE(rotationTransformed.rotation(), expectedRotationPart);
 }
 
-void Matrix3Test::translationPart() {
-    Matrix3 m(1.0f, 0.0f, 0.0f,
-              0.0f, 1.0f, 0.0f,
+void Matrix3Test::vectorParts() {
+    Matrix3 m(15.0f, 0.0f, 0.0f,
+              0.0f, -3.0f, 0.0f,
               -5.0f, 12.0f, 1.0f);
-    Vector2 expected(-5.0f, 12.0f);
-    CORRADE_COMPARE(m.translation(), expected);
+
+    CORRADE_COMPARE(m.right(), Vector2::xAxis(15.0f));
+    CORRADE_COMPARE(m.up(), Vector2::yAxis(-3.0f));
+    CORRADE_COMPARE(m.translation(), Vector2(-5.0f, 12.0f));
 }
 
 void Matrix3Test::debug() {

src/Math/Test/Matrix3Test.h

@@ -30,7 +30,7 @@ class Matrix3Test: public Corrade::TestSuite::Tester<Matrix3Test> {
         void rotation();
         void rotationScalingPart();
         void rotationPart();
-        void translationPart();
+        void vectorParts();
 
         void debug();
         void configuration();

src/Math/Test/Matrix4Test.cpp

@@ -41,7 +41,7 @@ Matrix4Test::Matrix4Test() {
              &Matrix4Test::rotationZ,
              &Matrix4Test::rotationScalingPart,
              &Matrix4Test::rotationPart,
-             &Matrix4Test::translationPart,
+             &Matrix4Test::vectorParts,
              &Matrix4Test::debug,
              &Matrix4Test::configuration);
 }
@@ -166,13 +166,16 @@ void Matrix4Test::rotationPart() {
     CORRADE_COMPARE(rotationTransformed.rotation(), expectedRotationPart);
 }
 
-void Matrix4Test::translationPart() {
-    Matrix4 m(1.0f, 0.0f, 0.0f, 0.0f,
-              0.0f, 1.0f, 0.0f, 0.0f,
-              0.0f, 0.0f, 1.0f, 0.0f,
+void Matrix4Test::vectorParts() {
+    Matrix4 m(-1.0f, 0.0f, 0.0f, 0.0f,
+              0.0f, 12.0f, 0.0f, 0.0f,
+              0.0f, 0.0f, 35.0f, 0.0f,
               -5.0f, 12.0f, 0.5f, 1.0f);
-    Vector3 expected(-5.0f, 12.0f, 0.5f);
-    CORRADE_COMPARE(m.translation(), expected);
+
+    CORRADE_COMPARE(m.right(), Vector3::xAxis(-1.0f));
+    CORRADE_COMPARE(m.up(), Vector3::yAxis(12.0f));
+    CORRADE_COMPARE(m.backward(), Vector3::zAxis(35.0f));
+    CORRADE_COMPARE(m.translation(), Vector3(-5.0f, 12.0f, 0.5f));
 }
 
 void Matrix4Test::debug() {

src/Math/Test/Matrix4Test.h

@@ -33,7 +33,7 @@ class Matrix4Test: public Corrade::TestSuite::Tester<Matrix4Test> {
         void rotationZ();
         void rotationScalingPart();
         void rotationPart();
-        void translationPart();
+        void vectorParts();
 
         void debug();
         void configuration();

src/Math/Vector2.h

@@ -39,7 +39,7 @@ template<class T> class Vector2: public Vector<2, T> {
          * @code
          * Matrix3::translation(Vector2::xAxis(5.0f)); // same as Matrix3::translation({5.0f, 0.0f});
          * @endcode
-         * @see yAxis(), xScale()
+         * @see yAxis(), xScale(), Matrix3::right()
          */
         inline constexpr static Vector2<T> xAxis(T length = T(1)) { return Vector2<T>(length, T()); }
 
@@ -47,7 +47,7 @@ template<class T> class Vector2: public Vector<2, T> {
          * @brief %Vector in direction of Y axis (up)
          *
          * See xAxis() for more information.
-         * @see yScale()
+         * @see yScale(), Matrix3::up()
          */
         inline constexpr static Vector2<T> yAxis(T length = T(1)) { return Vector2<T>(T(), length); }
 

src/Math/Vector3.h

@@ -41,7 +41,7 @@ template<class T> class Vector3: public Vector<3, T> {
          * Matrix4::translation(Vector3::xAxis(5.0f)); // same as Matrix4::translation({5.0f, 0.0f, 0.0f});
          * Matrix4::rotation(deg(30.0f), Vector3::xAxis()); // same as Matrix::rotation(deg(30.0f), {1.0f, 0.0f, 0.0f});
          * @endcode
-         * @see yAxis(), zAxis(), xScale()
+         * @see yAxis(), zAxis(), xScale(), Matrix4::right()
          */
         inline constexpr static Vector3<T> xAxis(T length = T(1)) { return Vector3<T>(length, T(), T()); }
 
@@ -49,7 +49,7 @@ template<class T> class Vector3: public Vector<3, T> {
          * @brief %Vector in direction of Y axis (up)
          *
          * See xAxis() for more information.
-         * @see yScale()
+         * @see yScale(), Matrix4::up()
          */
         inline constexpr static Vector3<T> yAxis(T length = T(1)) { return Vector3<T>(T(), length, T()); }
 
@@ -57,7 +57,7 @@ template<class T> class Vector3: public Vector<3, T> {
          * @brief %Vector in direction of Z axis (backward)
          *
          * See xAxis() for more information.
-         * @see zScale()
+         * @see zScale(), Matrix4::backward()
          */
         inline constexpr static Vector3<T> zAxis(T length = T(1)) { return Vector3<T>(T(), T(), length); }