Math: deinlined heavy functions, removed redundant `inline`.

Also fixed unary RectangularMatrix::operator-() and Vector::operator-()
documentation (was stating that the operation is done in-place, which is
impossible.

src/Math/Algorithms/Svd.h

@@ -49,9 +49,9 @@ template<class T> T pythagoras(T a, T b) {
 }
 
 template<class T> constexpr T smallestDelta();
-template<> inline constexpr Float smallestDelta<Float>() { return 1.0e-32; }
+template<> constexpr Float smallestDelta<Float>() { return 1.0e-32; }
 #ifndef MAGNUM_TARGET_GLES
-template<> inline constexpr Double smallestDelta<Double>() { return 1.0e-64; }
+template<> constexpr Double smallestDelta<Double>() { return 1.0e-64; }
 #endif
 
 }

src/Math/Angle.h

@@ -124,16 +124,16 @@ std::sin(Float(Rad<Float>(angleInDegrees)); // required explicit conversion hint
 template<class T> class Deg: public Unit<Deg, T> {
     public:
         /** @brief Default constructor */
-        inline constexpr /*implicit*/ Deg() {}
+        constexpr /*implicit*/ Deg() {}
 
         /** @brief Explicit constructor from unitless type */
-        inline constexpr explicit Deg(T value): Unit<Math::Deg, T>(value) {}
+        constexpr explicit Deg(T value): Unit<Math::Deg, T>(value) {}
 
         /** @brief Copy constructor */
-        inline constexpr /*implicit*/ Deg(Unit<Math::Deg, T> value): Unit<Math::Deg, T>(value) {}
+        constexpr /*implicit*/ Deg(Unit<Math::Deg, T> value): Unit<Math::Deg, T>(value) {}
 
         /** @brief Construct from another underlying type */
-        template<class U> inline constexpr explicit Deg(Unit<Math::Deg, U> value): Unit<Math::Deg, T>(value) {}
+        template<class U> constexpr explicit Deg(Unit<Math::Deg, U> value): Unit<Math::Deg, T>(value) {}
 
         /**
          * @brief Construct degrees from radians
@@ -143,7 +143,7 @@ template<class T> class Deg: public Unit<Deg, T> {
          *      deg = 180 \frac {rad} \pi
          * @f]
          */
-        inline constexpr /*implicit*/ Deg(Unit<Rad, T> value);
+        constexpr /*implicit*/ Deg(Unit<Rad, T> value);
 };
 
 #ifndef CORRADE_GCC46_COMPATIBILITY
@@ -160,7 +160,7 @@ Double cosine = Math::cos(1.047_rad); // cosine = 0.5
 @note Not available on GCC < 4.7. Use Deg::Deg(T) instead.
 @requires_gl Only single-precision types are available in OpenGL ES.
 */
-inline constexpr Deg<Double> operator "" _deg(long double value) { return Deg<Double>(value); }
+constexpr Deg<Double> operator "" _deg(long double value) { return Deg<Double>(value); }
 #endif
 
 /** @relates Deg
@@ -175,7 +175,7 @@ Float tangent = Math::tan(1.047_radf); // tangent = 1.732f
 @note Not available on GCC < 4.7. Use Deg::Deg(T) instead.
 @requires_gl Only single-precision types are available in OpenGL ES.
 */
-inline constexpr Deg<Float> operator "" _degf(long double value) { return Deg<Float>(value); }
+constexpr Deg<Float> operator "" _degf(long double value) { return Deg<Float>(value); }
 #endif
 
 /**
@@ -187,16 +187,16 @@ See Deg for more information.
 template<class T> class Rad: public Unit<Rad, T> {
     public:
         /** @brief Default constructor */
-        inline constexpr /*implicit*/ Rad() {}
+        constexpr /*implicit*/ Rad() {}
 
         /** @brief Construct from unitless type */
-        inline constexpr explicit Rad(T value): Unit<Math::Rad, T>(value) {}
+        constexpr explicit Rad(T value): Unit<Math::Rad, T>(value) {}
 
         /** @brief Copy constructor */
-        inline constexpr /*implicit*/ Rad(Unit<Math::Rad, T> value): Unit<Math::Rad, T>(value) {}
+        constexpr /*implicit*/ Rad(Unit<Math::Rad, T> value): Unit<Math::Rad, T>(value) {}
 
         /** @brief Construct from another underlying type */
-        template<class U> inline constexpr explicit Rad(Unit<Math::Rad, U> value): Unit<Math::Rad, T>(value) {}
+        template<class U> constexpr explicit Rad(Unit<Math::Rad, U> value): Unit<Math::Rad, T>(value) {}
 
         /**
          * @brief Construct radians from degrees
@@ -206,7 +206,7 @@ template<class T> class Rad: public Unit<Rad, T> {
          *      rad = deg \frac \pi 180
          * @f]
          */
-        inline constexpr /*implicit*/ Rad(Unit<Deg, T> value);
+        constexpr /*implicit*/ Rad(Unit<Deg, T> value);
 };
 
 #ifndef CORRADE_GCC46_COMPATIBILITY
@@ -218,7 +218,7 @@ See operator""_rad() for more information.
 @see Magnum::operator""_rad(), operator""_radf(), operator""_deg()
 @note Not available on GCC < 4.7. Use Rad::Rad(T) instead.
 */
-inline constexpr Rad<Double> operator "" _rad(long double value) { return Rad<Double>(value); }
+constexpr Rad<Double> operator "" _rad(long double value) { return Rad<Double>(value); }
 #endif
 
 /** @relates Rad
@@ -228,11 +228,11 @@ See operator""_degf() for more information.
 @see Magnum::operator""_radf(), operator""_rad(), operator""_degf()
 @note Not available on GCC < 4.7. Use Rad::Rad(T) instead.
 */
-inline constexpr Rad<Float> operator "" _radf(long double value) { return Rad<Float>(value); }
+constexpr Rad<Float> operator "" _radf(long double value) { return Rad<Float>(value); }
 #endif
 
-template<class T> inline constexpr Deg<T>::Deg(Unit<Rad, T> value): Unit<Math::Deg, T>(T(180)*T(value)/Math::Constants<T>::pi()) {}
-template<class T> inline constexpr Rad<T>::Rad(Unit<Deg, T> value): Unit<Math::Rad, T>(T(value)*Math::Constants<T>::pi()/T(180)) {}
+template<class T> constexpr Deg<T>::Deg(Unit<Rad, T> value): Unit<Math::Deg, T>(T(180)*T(value)/Math::Constants<T>::pi()) {}
+template<class T> constexpr Rad<T>::Rad(Unit<Deg, T> value): Unit<Math::Rad, T>(T(value)*Math::Constants<T>::pi()/T(180)) {}
 
 /** @debugoperator{Magnum::Math::Rad} */
 template<class T> Corrade::Utility::Debug operator<<(Corrade::Utility::Debug debug, const Unit<Rad, T>& value) {

src/Math/BoolVector.h

@@ -49,7 +49,7 @@ namespace Implementation {
     };
     #endif
 
-    template<class T> inline constexpr T repeat(T value, std::size_t) { return value; }
+    template<class T> constexpr T repeat(T value, std::size_t) { return value; }
 }
 
 /**
@@ -69,7 +69,7 @@ template<std::size_t size> class BoolVector {
         static const std::size_t DataSize = (size-1)/8+1;   /**< @brief %Vector storage size */
 
         /** @brief Construct zero-filled boolean vector */
-        inline constexpr BoolVector(): _data() {}
+        constexpr BoolVector(): _data() {}
 
         /**
          * @brief Construct boolean vector from segment values
@@ -77,9 +77,9 @@ template<std::size_t size> class BoolVector {
          * @param next  Values for next Bbit segments
          */
         #ifdef DOXYGEN_GENERATING_OUTPUT
-        template<class ...T> inline constexpr /*implicit*/ BoolVector(UnsignedByte first, T... next);
+        template<class ...T> constexpr /*implicit*/ BoolVector(UnsignedByte first, T... next);
         #else
-        template<class ...T, class U = typename std::enable_if<sizeof...(T)+1 == DataSize, bool>::type> inline constexpr /*implicit*/ BoolVector(UnsignedByte first, T... next): _data{first, UnsignedByte(next)...} {}
+        template<class ...T, class U = typename std::enable_if<sizeof...(T)+1 == DataSize, bool>::type> constexpr /*implicit*/ BoolVector(UnsignedByte first, T... next): _data{first, UnsignedByte(next)...} {}
         #endif
 
         /** @brief Construct boolean vector with one value for all fields */
@@ -87,19 +87,19 @@ template<std::size_t size> class BoolVector {
         inline explicit BoolVector(T value);
         #else
         #ifndef CORRADE_GCC46_COMPATIBILITY
-        template<class T, class U = typename std::enable_if<std::is_same<bool, T>::value && size != 1, bool>::type> inline constexpr explicit BoolVector(T value): BoolVector(typename Implementation::GenerateSequence<DataSize>::Type(), value ? FullSegmentMask : 0) {}
+        template<class T, class U = typename std::enable_if<std::is_same<bool, T>::value && size != 1, bool>::type> constexpr explicit BoolVector(T value): BoolVector(typename Implementation::GenerateSequence<DataSize>::Type(), value ? FullSegmentMask : 0) {}
         #else
-        template<class T, class U = typename std::enable_if<std::is_same<bool, T>::value && size != 1, bool>::type> inline explicit BoolVector(T value) {
+        template<class T, class U = typename std::enable_if<std::is_same<bool, T>::value && size != 1, bool>::type> explicit BoolVector(T value) {
             *this = BoolVector(typename Implementation::GenerateSequence<DataSize>::Type(), value ? FullSegmentMask : 0);
         }
         #endif
         #endif
 
         /** @brief Copy constructor */
-        inline constexpr BoolVector(const BoolVector<size>&) = default;
+        constexpr BoolVector(const BoolVector<size>&) = default;
 
         /** @brief Copy assignment */
-        inline BoolVector<size>& operator=(const BoolVector<size>&) = default;
+        BoolVector<size>& operator=(const BoolVector<size>&) = default;
 
         /**
          * @brief Raw data
@@ -107,84 +107,46 @@ template<std::size_t size> class BoolVector {
          *
          * @see operator[](), set()
          */
-        inline UnsignedByte* data() { return _data; }
-        inline constexpr const UnsignedByte* data() const { return _data; } /**< @overload */
+        UnsignedByte* data() { return _data; }
+        constexpr const UnsignedByte* data() const { return _data; } /**< @overload */
 
         /** @brief Bit at given position */
-        inline constexpr bool operator[](std::size_t i) const {
+        constexpr bool operator[](std::size_t i) const {
             return (_data[i/8] >> i%8) & 0x01;
         }
 
         /** @brief Set bit at given position */
-        inline BoolVector<size>& set(std::size_t i, bool value) {
+        BoolVector<size>& set(std::size_t i, bool value) {
             _data[i/8] |= ((value & 0x01) << i%8);
             return *this;
         }
 
         /** @brief Equality comparison */
-        inline bool operator==(const BoolVector<size>& other) const {
-            for(std::size_t i = 0; i != size/8; ++i)
-                if(_data[i] != other._data[i]) return false;
-
-            /* Check last segment */
-            if(size%8 && (_data[DataSize-1] & LastSegmentMask) != (other._data[DataSize-1] & LastSegmentMask))
-                return false;
-
-            return true;
-        }
+        bool operator==(const BoolVector<size>& other) const;
 
         /** @brief Non-equality comparison */
-        inline bool operator!=(const BoolVector<size>& other) const {
+        bool operator!=(const BoolVector<size>& other) const {
             return !operator==(other);
         }
 
         /** @brief Whether all bits are set */
-        bool all() const {
-            /* Check all full segments */
-            for(std::size_t i = 0; i != size/8; ++i)
-                if(_data[i] != FullSegmentMask) return false;
-
-            /* Check last segment */
-            if(size%8 && (_data[DataSize-1] & LastSegmentMask) != LastSegmentMask)
-                return false;
-
-            return true;
-        }
+        bool all() const;
 
         /** @brief Whether no bits are set */
-        bool none() const {
-            /* Check all full segments */
-            for(std::size_t i = 0; i != size/8; ++i)
-                if(_data[i]) return false;
-
-            /* Check last segment */
-            if(size%8 && (_data[DataSize-1] & LastSegmentMask))
-                return false;
-
-            return true;
-        }
+        bool none() const;
 
         /** @brief Whether any bit is set */
-        inline bool any() const {
-            return !none();
-        }
+        bool any() const { return !none(); }
 
         /** @brief Bitwise inversion */
-        inline BoolVector<size> operator~() const {
-            BoolVector<size> out;
-
-            for(std::size_t i = 0; i != DataSize; ++i)
-                out._data[i] = ~_data[i];
-
-            return out;
-        }
+        BoolVector<size> operator~() const;
 
         /**
          * @brief Bitwise AND and assign
          *
          * The computation is done in-place.
          */
-        inline BoolVector<size>& operator&=(const BoolVector<size>& other) {
+        BoolVector<size>& operator&=(const BoolVector<size>& other) {
             for(std::size_t i = 0; i != DataSize; ++i)
                 _data[i] &= other._data[i];
 
@@ -196,7 +158,7 @@ template<std::size_t size> class BoolVector {
          *
          * @see operator&=()
          */
-        inline BoolVector<size> operator&(const BoolVector<size>& other) const {
+        BoolVector<size> operator&(const BoolVector<size>& other) const {
             return BoolVector<size>(*this) &= other;
         }
 
@@ -205,7 +167,7 @@ template<std::size_t size> class BoolVector {
          *
          * The computation is done in-place.
          */
-        inline BoolVector<size>& operator|=(const BoolVector<size>& other) {
+        BoolVector<size>& operator|=(const BoolVector<size>& other) {
             for(std::size_t i = 0; i != DataSize; ++i)
                 _data[i] |= other._data[i];
 
@@ -217,7 +179,7 @@ template<std::size_t size> class BoolVector {
          *
          * @see operator|=()
          */
-        inline BoolVector<size> operator|(const BoolVector<size>& other) const {
+        BoolVector<size> operator|(const BoolVector<size>& other) const {
             return BoolVector<size>(*this) |= other;
         }
 
@@ -226,7 +188,7 @@ template<std::size_t size> class BoolVector {
          *
          * The computation is done in-place.
          */
-        inline BoolVector<size>& operator^=(const BoolVector<size>& other) {
+        BoolVector<size>& operator^=(const BoolVector<size>& other) {
             for(std::size_t i = 0; i != DataSize; ++i)
                 _data[i] ^= other._data[i];
 
@@ -238,7 +200,7 @@ template<std::size_t size> class BoolVector {
          *
          * @see operator^=()
          */
-        inline BoolVector<size> operator^(const BoolVector<size>& other) const {
+        BoolVector<size> operator^(const BoolVector<size>& other) const {
             return BoolVector<size>(*this) ^= other;
         }
 
@@ -249,7 +211,7 @@ template<std::size_t size> class BoolVector {
         };
 
         /* Implementation for Vector<size, T>::Vector(U) */
-        template<std::size_t ...sequence> inline constexpr explicit BoolVector(Implementation::Sequence<sequence...>, UnsignedByte value): _data{Implementation::repeat(value, sequence)...} {}
+        template<std::size_t ...sequence> constexpr explicit BoolVector(Implementation::Sequence<sequence...>, UnsignedByte value): _data{Implementation::repeat(value, sequence)...} {}
 
         UnsignedByte _data[(size-1)/8+1];
 };
@@ -267,6 +229,50 @@ template<std::size_t size> Corrade::Utility::Debug operator<<(Corrade::Utility::
     return debug;
 }
 
+template<std::size_t size> inline bool BoolVector<size>::operator==(const BoolVector< size >& other) const {
+    for(std::size_t i = 0; i != size/8; ++i)
+        if(_data[i] != other._data[i]) return false;
+
+    /* Check last segment */
+    if(size%8 && (_data[DataSize-1] & LastSegmentMask) != (other._data[DataSize-1] & LastSegmentMask))
+        return false;
+
+    return true;
+}
+
+template<std::size_t size> inline bool BoolVector<size>::all() const {
+    /* Check all full segments */
+    for(std::size_t i = 0; i != size/8; ++i)
+        if(_data[i] != FullSegmentMask) return false;
+
+    /* Check last segment */
+    if(size%8 && (_data[DataSize-1] & LastSegmentMask) != LastSegmentMask)
+        return false;
+
+    return true;
+}
+
+template<std::size_t size> inline bool BoolVector<size>::none() const {
+    /* Check all full segments */
+    for(std::size_t i = 0; i != size/8; ++i)
+        if(_data[i]) return false;
+
+    /* Check last segment */
+    if(size%8 && (_data[DataSize-1] & LastSegmentMask))
+        return false;
+
+    return true;
+}
+
+template<std::size_t size> inline BoolVector<size> BoolVector<size>::operator~() const {
+    BoolVector<size> out;
+
+    for(std::size_t i = 0; i != DataSize; ++i)
+        out._data[i] = ~_data[i];
+
+    return out;
+}
+
 }}
 
 #endif

src/Math/Complex.h

@@ -40,7 +40,7 @@ namespace Magnum { namespace Math {
 namespace Implementation {
     /* No assertions fired, for internal use. Not private member because used
        from outside the class. */
-    template<class T> inline static Complex<T> complexFromMatrix(const Matrix<2, T>& matrix) {
+    template<class T> constexpr static Complex<T> complexFromMatrix(const Matrix<2, T>& matrix) {
         return {matrix[0][0], matrix[0][1]};
     }
 }
@@ -64,7 +64,7 @@ template<class T> class Complex {
          * @f]
          * @see dot() const
          */
-        inline static T dot(const Complex<T>& a, const Complex<T>& b) {
+        static T dot(const Complex<T>& a, const Complex<T>& b) {
             return a._real*b._real + a._imaginary*b._imaginary;
         }
 
@@ -76,7 +76,7 @@ template<class T> class Complex {
          * @f]
          * @see isNormalized(), Quaternion::angle(), Vector::angle()
          */
-        inline static Rad<T> angle(const Complex<T>& normalizedA, const Complex<T>& normalizedB) {
+        static Rad<T> angle(const Complex<T>& normalizedA, const Complex<T>& normalizedB) {
             CORRADE_ASSERT(normalizedA.isNormalized() && normalizedB.isNormalized(),
                            "Math::Complex::angle(): complex numbers must be normalized", Rad<T>(std::numeric_limits<T>::quiet_NaN()));
             return Rad<T>(std::acos(normalizedA._real*normalizedB._real + normalizedA._imaginary*normalizedB._imaginary));
@@ -91,7 +91,7 @@ template<class T> class Complex {
          * @f]
          * @see angle(), Matrix3::rotation(), Quaternion::rotation()
          */
-        inline static Complex<T> rotation(Rad<T> angle) {
+        static Complex<T> rotation(Rad<T> angle) {
             return {std::cos(T(angle)), std::sin(T(angle))};
         }
 
@@ -101,7 +101,7 @@ template<class T> class Complex {
          * Expects that the matrix is orthogonal (i.e. pure rotation).
          * @see toMatrix(), DualComplex::fromMatrix(), Matrix::isOrthogonal()
          */
-        inline static Complex<T> fromMatrix(const Matrix<2, T>& matrix) {
+        static Complex<T> fromMatrix(const Matrix<2, T>& matrix) {
             CORRADE_ASSERT(matrix.isOrthogonal(),
                 "Math::Complex::fromMatrix(): the matrix is not orthogonal", {});
             return Implementation::complexFromMatrix(matrix);
@@ -114,7 +114,7 @@ template<class T> class Complex {
          *      c = 1 + i0
          * @f]
          */
-        inline constexpr /*implicit*/ Complex(): _real(T(1)), _imaginary(T(0)) {}
+        constexpr /*implicit*/ Complex(): _real(T(1)), _imaginary(T(0)) {}
 
         /**
          * @brief Construct complex number from real and imaginary part
@@ -123,7 +123,7 @@ template<class T> class Complex {
          *      c = a + ib
          * @f]
          */
-        inline constexpr /*implicit*/ Complex(T real, T imaginary): _real(real), _imaginary(imaginary) {}
+        constexpr /*implicit*/ Complex(T real, T imaginary): _real(real), _imaginary(imaginary) {}
 
         /**
          * @brief Construct complex number from vector
@@ -133,16 +133,16 @@ template<class T> class Complex {
          * @f]
          * @see operator Vector2(), transformVector()
          */
-        inline constexpr explicit Complex(const Vector2<T>& vector): _real(vector.x()), _imaginary(vector.y()) {}
+        constexpr explicit Complex(const Vector2<T>& vector): _real(vector.x()), _imaginary(vector.y()) {}
 
         /** @brief Equality comparison */
-        inline bool operator==(const Complex<T>& other) const {
+        bool operator==(const Complex<T>& other) const {
             return TypeTraits<T>::equals(_real, other._real) &&
                    TypeTraits<T>::equals(_imaginary, other._imaginary);
         }
 
         /** @brief Non-equality comparison */
-        inline bool operator!=(const Complex<T>& other) const {
+        bool operator!=(const Complex<T>& other) const {
             return !operator==(other);
         }
 
@@ -154,15 +154,15 @@ template<class T> class Complex {
          * @f]
          * @see dot(), normalized()
          */
-        inline bool isNormalized() const {
+        bool isNormalized() const {
             return Implementation::isNormalizedSquared(dot());
         }
 
         /** @brief Real part */
-        inline constexpr T real() const { return _real; }
+        constexpr T real() const { return _real; }
 
         /** @brief Imaginary part */
-        inline constexpr T imaginary() const { return _imaginary; }
+        constexpr T imaginary() const { return _imaginary; }
 
         /**
          * @brief Convert complex number to vector
@@ -171,7 +171,7 @@ template<class T> class Complex {
          *      \boldsymbol v = \begin{pmatrix} a \\ b \end{pmatrix}
          * @f]
          */
-        inline constexpr explicit operator Vector2<T>() const {
+        constexpr explicit operator Vector2<T>() const {
             return {_real, _imaginary};
         }
 
@@ -183,7 +183,7 @@ template<class T> class Complex {
          * @f]
          * @see rotation()
          */
-        inline Rad<T> angle() const {
+        Rad<T> angle() const {
             return Rad<T>(std::atan2(_imaginary, _real));
         }
 
@@ -211,7 +211,7 @@ template<class T> class Complex {
          *      c_0 + c_1 = (a_0 + a_1) + i(b_0 + b_1)
          * @f]
          */
-        inline Complex<T>& operator+=(const Complex<T>& other) {
+        Complex<T>& operator+=(const Complex<T>& other) {
             _real += other._real;
             _imaginary += other._imaginary;
             return *this;
@@ -222,7 +222,7 @@ template<class T> class Complex {
          *
          * @see operator+=()
          */
-        inline Complex<T> operator+(const Complex<T>& other) const {
+        Complex<T> operator+(const Complex<T>& other) const {
             return Complex<T>(*this) += other;
         }
 
@@ -233,7 +233,7 @@ template<class T> class Complex {
          *      -c = -a -ib
          * @f]
          */
-        inline Complex<T> operator-() const {
+        Complex<T> operator-() const {
             return {-_real, -_imaginary};
         }
 
@@ -244,7 +244,7 @@ template<class T> class Complex {
          *      c_0 - c_1 = (a_0 - a_1) + i(b_0 - b_1)
          * @f]
          */
-        inline Complex<T>& operator-=(const Complex<T>& other) {
+        Complex<T>& operator-=(const Complex<T>& other) {
             _real -= other._real;
             _imaginary -= other._imaginary;
             return *this;
@@ -255,7 +255,7 @@ template<class T> class Complex {
          *
          * @see operator-=()
          */
-        inline Complex<T> operator-(const Complex<T>& other) const {
+        Complex<T> operator-(const Complex<T>& other) const {
             return Complex<T>(*this) -= other;
         }
 
@@ -266,7 +266,7 @@ template<class T> class Complex {
          *      c \cdot t = ta + itb
          * @f]
          */
-        inline Complex<T>& operator*=(T scalar) {
+        Complex<T>& operator*=(T scalar) {
             _real *= scalar;
             _imaginary *= scalar;
             return *this;
@@ -277,7 +277,7 @@ template<class T> class Complex {
          *
          * @see operator*=(T)
          */
-        inline Complex<T> operator*(T scalar) const {
+        Complex<T> operator*(T scalar) const {
             return Complex<T>(*this) *= scalar;
         }
 
@@ -288,7 +288,7 @@ template<class T> class Complex {
          *      \frac c t = \frac a t + i \frac b t
          * @f]
          */
-        inline Complex<T>& operator/=(T scalar) {
+        Complex<T>& operator/=(T scalar) {
             _real /= scalar;
             _imaginary /= scalar;
             return *this;
@@ -299,7 +299,7 @@ template<class T> class Complex {
          *
          * @see operator/=(T)
          */
-        inline Complex<T> operator/(T scalar) const {
+        Complex<T> operator/(T scalar) const {
             return Complex<T>(*this) /= scalar;
         }
 
@@ -310,7 +310,7 @@ template<class T> class Complex {
          *      c_0 c_1 = (a_0 + ib_0)(a_1 + ib_1) = (a_0 a_1 - b_0 b_1) + i(a_1 b_0 + a_0 b_1)
          * @f]
          */
-        inline Complex<T> operator*(const Complex<T>& other) const {
+        Complex<T> operator*(const Complex<T>& other) const {
             return {_real*other._real - _imaginary*other._imaginary,
                     _imaginary*other._real + _real*other._imaginary};
         }
@@ -324,7 +324,7 @@ template<class T> class Complex {
          * @f]
          * @see dot(const Complex&, const Complex&), isNormalized()
          */
-        inline T dot() const {
+        T dot() const {
             return dot(*this, *this);
         }
 
@@ -337,7 +337,7 @@ template<class T> class Complex {
          * @f]
          * @see isNormalized()
          */
-        inline T length() const {
+        T length() const {
             /** @todo Remove when NaCl's newlib has this fixed */
             #ifndef CORRADE_TARGET_NACL_NEWLIB
             return std::hypot(_real, _imaginary);
@@ -351,7 +351,7 @@ template<class T> class Complex {
          *
          * @see isNormalized()
          */
-        inline Complex<T> normalized() const {
+        Complex<T> normalized() const {
             return (*this)/length();
         }
 
@@ -362,7 +362,7 @@ template<class T> class Complex {
          *      c^* = a - ib
          * @f]
          */
-        inline Complex<T> conjugated() const {
+        Complex<T> conjugated() const {
             return {_real, -_imaginary};
         }
 
@@ -374,7 +374,7 @@ template<class T> class Complex {
          *      c^{-1} = \frac{c^*}{|c|^2} = \frac{c^*}{c \cdot c}
          * @f]
          */
-        inline Complex<T> inverted() const {
+        Complex<T> inverted() const {
             return conjugated()/dot();
         }
 
@@ -387,7 +387,7 @@ template<class T> class Complex {
          * @f]
          * @see isNormalized(), inverted()
          */
-        inline Complex<T> invertedNormalized() const {
+        Complex<T> invertedNormalized() const {
             CORRADE_ASSERT(isNormalized(),
                            "Math::Complex::invertedNormalized(): complex number must be normalized",
                            Complex<T>(std::numeric_limits<T>::quiet_NaN(), {}));
@@ -402,7 +402,7 @@ template<class T> class Complex {
          * @f]
          * @see Complex(const Vector2&), operator Vector2(), Matrix3::transformVector()
          */
-        inline Vector2<T> transformVector(const Vector2<T>& vector) const {
+        Vector2<T> transformVector(const Vector2<T>& vector) const {
             return Vector2<T>((*this)*Complex<T>(vector));
         }
 

src/Math/Constants.h

@@ -47,10 +47,10 @@ template<class T> struct Constants {
      *
      * @see Deg, Rad
      */
-    static inline constexpr T pi();
+    static constexpr T pi();
 
-    static inline constexpr T sqrt2();  /**< @brief Square root of 2 */
-    static inline constexpr T sqrt3();  /**< @brief Square root of 3 */
+    static constexpr T sqrt2();  /**< @brief Square root of 2 */
+    static constexpr T sqrt3();  /**< @brief Square root of 3 */
     #endif
 };
 
@@ -59,17 +59,17 @@ template<class T> struct Constants {
 template<> struct Constants<Double> {
     Constants() = delete;
 
-    static inline constexpr Double pi()    { return 3.141592653589793; }
-    static inline constexpr Double sqrt2() { return 1.414213562373095; }
-    static inline constexpr Double sqrt3() { return 1.732050807568877; }
+    static constexpr Double pi()    { return 3.141592653589793; }
+    static constexpr Double sqrt2() { return 1.414213562373095; }
+    static constexpr Double sqrt3() { return 1.732050807568877; }
 };
 #endif
 template<> struct Constants<Float> {
     Constants() = delete;
 
-    static inline constexpr Float pi()    { return 3.141592654f; }
-    static inline constexpr Float sqrt2() { return 1.414213562f; }
-    static inline constexpr Float sqrt3() { return 1.732050808f; }
+    static constexpr Float pi()    { return 3.141592654f; }
+    static constexpr Float sqrt2() { return 1.414213562f; }
+    static constexpr Float sqrt3() { return 1.732050808f; }
 };
 #endif
 

src/Math/Dual.h

@@ -50,7 +50,7 @@ template<class T> class Dual {
          *
          * Both parts are default-constructed.
          */
-        inline constexpr /*implicit*/ Dual(): _real(), _dual() {}
+        constexpr /*implicit*/ Dual(): _real(), _dual() {}
 
         /**
          * @brief Construct dual number from real and dual part
@@ -59,24 +59,24 @@ template<class T> class Dual {
          *      \hat a = a_0 + \epsilon a_\epsilon
          * @f]
          */
-        inline constexpr /*implicit*/ Dual(const T& real, const T& dual = T()): _real(real), _dual(dual) {}
+        constexpr /*implicit*/ Dual(const T& real, const T& dual = T()): _real(real), _dual(dual) {}
 
         /** @brief Equality comparison */
-        inline bool operator==(const Dual<T>& other) const {
+        bool operator==(const Dual<T>& other) const {
             return TypeTraits<T>::equals(_real, other._real) &&
                    TypeTraits<T>::equals(_dual, other._dual);
         }
 
         /** @brief Non-equality comparison */
-        inline bool operator!=(const Dual<T>& other) const {
+        bool operator!=(const Dual<T>& other) const {
             return !operator==(other);
         }
 
         /** @brief Real part */
-        inline constexpr T real() const { return _real; }
+        constexpr T real() const { return _real; }
 
         /** @brief %Dual part */
-        inline constexpr T dual() const { return _dual; }
+        constexpr T dual() const { return _dual; }
 
         /**
          * @brief Add and assign dual number
@@ -85,7 +85,7 @@ template<class T> class Dual {
          *      \hat a + \hat b = a_0 + b_0 + \epsilon (a_\epsilon + b_\epsilon)
          * @f]
          */
-        inline Dual<T>& operator+=(const Dual<T>& other) {
+        Dual<T>& operator+=(const Dual<T>& other) {
             _real += other._real;
             _dual += other._dual;
             return *this;
@@ -96,7 +96,7 @@ template<class T> class Dual {
          *
          * @see operator+=()
          */
-        inline Dual<T> operator+(const Dual<T>& other) const {
+        Dual<T> operator+(const Dual<T>& other) const {
             return Dual<T>(*this)+=other;
         }
 
@@ -107,7 +107,7 @@ template<class T> class Dual {
          *      -\hat a = -a_0 - \epsilon a_\epsilon
          * @f]
          */
-        inline Dual<T> operator-() const {
+        Dual<T> operator-() const {
             return {-_real, -_dual};
         }
 
@@ -118,7 +118,7 @@ template<class T> class Dual {
          *      \hat a - \hat b = a_0 - b_0 + \epsilon (a_\epsilon - b_\epsilon)
          * @f]
          */
-        inline Dual<T>& operator-=(const Dual<T>& other) {
+        Dual<T>& operator-=(const Dual<T>& other) {
             _real -= other._real;
             _dual -= other._dual;
             return *this;
@@ -129,7 +129,7 @@ template<class T> class Dual {
          *
          * @see operator-=()
          */
-        inline Dual<T> operator-(const Dual<T>& other) const {
+        Dual<T> operator-(const Dual<T>& other) const {
             return Dual<T>(*this)-=other;
         }
 
@@ -140,7 +140,7 @@ template<class T> class Dual {
          *      \hat a \hat b = a_0 b_0 + \epsilon (a_0 b_\epsilon + a_\epsilon b_0)
          * @f]
          */
-        template<class U> inline Dual<T> operator*(const Dual<U>& other) const {
+        template<class U> Dual<T> operator*(const Dual<U>& other) const {
             return {_real*other._real, _real*other._dual + _dual*other._real};
         }
 
@@ -151,7 +151,7 @@ template<class T> class Dual {
          *      \frac{\hat a}{\hat b} = \frac{a_0}{b_0} + \epsilon \frac{a_\epsilon b_0 - a_0 b_\epsilon}{b_0^2}
          * @f]
          */
-        template<class U> inline Dual<T> operator/(const Dual<U>& other) const {
+        template<class U> Dual<T> operator/(const Dual<U>& other) const {
             return {_real/other._real, (_dual*other._real - _real*other._dual)/(other._real*other._real)};
         }
 
@@ -162,7 +162,7 @@ template<class T> class Dual {
          *      \overline{\hat a} = a_0 - \epsilon a_\epsilon
          * @f]
          */
-        inline Dual<T> conjugated() const {
+        Dual<T> conjugated() const {
             return {_real, -_dual};
         }
 
@@ -172,27 +172,27 @@ template<class T> class Dual {
 
 #ifndef DOXYGEN_GENERATING_OUTPUT
 #define MAGNUM_DUAL_SUBCLASS_IMPLEMENTATION(Type, Underlying)               \
-    inline Type<T> operator-() const {                                      \
+    Type<T> operator-() const {                                             \
         return Dual<Underlying<T>>::operator-();                            \
     }                                                                       \
-    inline Type<T>& operator+=(const Dual<Underlying<T>>& other) {          \
+    Type<T>& operator+=(const Dual<Underlying<T>>& other) {                 \
         Dual<Underlying<T>>::operator+=(other);                             \
         return *this;                                                       \
     }                                                                       \
-    inline Type<T> operator+(const Dual<Underlying<T>>& other) const {      \
+    Type<T> operator+(const Dual<Underlying<T>>& other) const {             \
         return Dual<Underlying<T>>::operator+(other);                       \
     }                                                                       \
-    inline Type<T>& operator-=(const Dual<Underlying<T>>& other) {          \
+    Type<T>& operator-=(const Dual<Underlying<T>>& other) {                 \
         Dual<Underlying<T>>::operator-=(other);                             \
         return *this;                                                       \
     }                                                                       \
-    inline Type<T> operator-(const Dual<Underlying<T>>& other) const {      \
+    Type<T> operator-(const Dual<Underlying<T>>& other) const {             \
         return Dual<Underlying<T>>::operator-(other);                       \
     }                                                                       \
-    template<class U> inline Type<T> operator*(const Dual<U>& other) const { \
+    template<class U> Type<T> operator*(const Dual<U>& other) const {       \
         return Dual<Underlying<T>>::operator*(other);                       \
     }                                                                       \
-    template<class U> inline Type<T> operator/(const Dual<U>& other) const { \
+    template<class U> Type<T> operator/(const Dual<U>& other) const {       \
         return Dual<Underlying<T>>::operator/(other);                       \
     }
 #endif

src/Math/DualComplex.h

@@ -58,7 +58,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @see angle(), Complex::rotation(), Matrix3::rotation(),
          *      DualQuaternion::rotation()
          */
-        inline static DualComplex<T> rotation(Rad<T> angle) {
+        static DualComplex<T> rotation(Rad<T> angle) {
             return {Complex<T>::rotation(angle), {{}, {}}};
         }
 
@@ -72,7 +72,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @see translation() const, Matrix3::translation(const Vector2&),
          *      DualQuaternion::translation(), Vector2::xAxis(), Vector2::yAxis()
          */
-        inline static DualComplex<T> translation(const Vector2<T>& vector) {
+        static DualComplex<T> translation(const Vector2<T>& vector) {
             return {{}, {vector.x(), vector.y()}};
         }
 
@@ -83,7 +83,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @see toMatrix(), Complex::fromMatrix(),
          *      Matrix3::isRigidTransformation()
          */
-        inline static DualComplex<T> fromMatrix(const Matrix3<T>& matrix) {
+        static DualComplex<T> fromMatrix(const Matrix3<T>& matrix) {
             CORRADE_ASSERT(matrix.isRigidTransformation(),
                 "Math::DualComplex::fromMatrix(): the matrix doesn't represent rigid transformation", {});
             return {Implementation::complexFromMatrix(matrix.rotationScaling()), Complex<T>(matrix.translation())};
@@ -98,9 +98,9 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @todoc Remove workaround when Doxygen is predictable
          */
         #ifdef DOXYGEN_GENERATING_OUTPUT
-        inline constexpr /*implicit*/ DualComplex();
+        constexpr /*implicit*/ DualComplex();
         #else
-        inline constexpr /*implicit*/ DualComplex(): Dual<Complex<T>>({}, {T(0), T(0)}) {}
+        constexpr /*implicit*/ DualComplex(): Dual<Complex<T>>({}, {T(0), T(0)}) {}
         #endif
 
         /**
@@ -110,7 +110,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          *      \hat c = c_0 + \epsilon c_\epsilon
          * @f]
          */
-        inline constexpr /*implicit*/ DualComplex(const Complex<T>& real, const Complex<T>& dual = Complex<T>(T(0), T(0))): Dual<Complex<T>>(real, dual) {}
+        constexpr /*implicit*/ DualComplex(const Complex<T>& real, const Complex<T>& dual = Complex<T>(T(0), T(0))): Dual<Complex<T>>(real, dual) {}
 
         /**
          * @brief Construct dual complex number from vector
@@ -121,9 +121,9 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @todoc Remove workaround when Doxygen is predictable
          */
         #ifdef DOXYGEN_GENERATING_OUTPUT
-        inline constexpr explicit DualComplex(const Vector2<T>& vector);
+        constexpr explicit DualComplex(const Vector2<T>& vector);
         #else
-        inline constexpr explicit DualComplex(const Vector2<T>& vector): Dual<Complex<T>>({}, Complex<T>(vector)) {}
+        constexpr explicit DualComplex(const Vector2<T>& vector): Dual<Complex<T>>({}, Complex<T>(vector)) {}
         #endif
 
         /**
@@ -134,7 +134,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @f]
          * @see Complex::dot(), normalized()
          */
-        inline bool isNormalized() const {
+        bool isNormalized() const {
             return Implementation::isNormalizedSquared(lengthSquared());
         }
 
@@ -143,7 +143,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          *
          * @see Complex::angle()
          */
-        inline constexpr Complex<T> rotation() const {
+        constexpr Complex<T> rotation() const {
             return this->real();
         }
 
@@ -155,7 +155,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @f]
          * @see translation(const Vector2&)
          */
-        inline Vector2<T> translation() const {
+        Vector2<T> translation() const {
             return Vector2<T>(this->dual());
         }
 
@@ -164,7 +164,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          *
          * @see fromMatrix(), Complex::toMatrix()
          */
-        inline Matrix3<T> toMatrix() const {
+        Matrix3<T> toMatrix() const {
             return Matrix3<T>::from(this->real().toMatrix(), translation());
         }
 
@@ -176,7 +176,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @f]
          * @todo can this be done similarly to dual quaternions?
          */
-        inline DualComplex<T> operator*(const DualComplex<T>& other) const {
+        DualComplex<T> operator*(const DualComplex<T>& other) const {
             return {this->real()*other.real(), this->real()*other.dual() + this->dual()};
         }
 
@@ -188,7 +188,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @f]
          * @see dualConjugated(), conjugated(), Complex::conjugated()
          */
-        inline DualComplex<T> complexConjugated() const {
+        DualComplex<T> complexConjugated() const {
             return {this->real().conjugated(), this->dual().conjugated()};
         }
 
@@ -200,7 +200,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @f]
          * @see complexConjugated(), conjugated(), Dual::conjugated()
          */
-        inline DualComplex<T> dualConjugated() const {
+        DualComplex<T> dualConjugated() const {
             return Dual<Complex<T>>::conjugated();
         }
 
@@ -213,7 +213,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @see complexConjugated(), dualConjugated(), Complex::conjugated(),
          *      Dual::conjugated()
          */
-        inline DualComplex<T> conjugated() const {
+        DualComplex<T> conjugated() const {
             return {this->real().conjugated(), {-this->dual().real(), this->dual().imaginary()}};
         }
 
@@ -226,7 +226,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @f]
          * @todo Can this be done similarly to dual quaternins?
          */
-        inline T lengthSquared() const {
+        T lengthSquared() const {
             return this->real().dot();
         }
 
@@ -239,7 +239,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @f]
          * @todo can this be done similarly to dual quaternions?
          */
-        inline T length() const {
+        T length() const {
             return this->real().length();
         }
 
@@ -252,7 +252,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @see isNormalized()
          * @todo can this be done similarly to dual quaternions?
          */
-        inline DualComplex<T> normalized() const {
+        DualComplex<T> normalized() const {
             return {this->real()/length(), this->dual()};
         }
 
@@ -265,7 +265,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @f]
          * @todo can this be done similarly to dual quaternions?
          */
-        inline DualComplex<T> inverted() const {
+        DualComplex<T> inverted() const {
             return DualComplex<T>(this->real().inverted(), {{}, {}})*DualComplex<T>({}, -this->dual());
         }
 
@@ -278,7 +278,7 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @see isNormalized(), inverted()
          * @todo can this be done similarly to dual quaternions?
          */
-        inline DualComplex<T> invertedNormalized() const {
+        DualComplex<T> invertedNormalized() const {
             return DualComplex<T>(this->real().invertedNormalized(), {{}, {}})*DualComplex<T>({}, -this->dual());
         }
 
@@ -292,35 +292,35 @@ template<class T> class DualComplex: public Dual<Complex<T>> {
          * @see DualComplex(const Vector2&), dual(), Matrix3::transformPoint(),
          *      Complex::transformVector(), DualQuaternion::transformPoint()
          */
-        inline Vector2<T> transformPoint(const Vector2<T>& vector) const {
+        Vector2<T> transformPoint(const Vector2<T>& vector) const {
             return Vector2<T>(((*this)*DualComplex<T>(vector)).dual());
         }
 
         /* Verbatim copy of DUAL_SUBCLASS_IMPLEMENTATION(), as we need to hide
            Dual's operator*() and operator/() */
         #ifndef DOXYGEN_GENERATING_OUTPUT
-        inline DualComplex<T> operator-() const {
+        DualComplex<T> operator-() const {
             return Dual<Complex<T>>::operator-();
         }
-        inline DualComplex<T>& operator+=(const Dual<Complex<T>>& other) {
+        DualComplex<T>& operator+=(const Dual<Complex<T>>& other) {
             Dual<Complex<T>>::operator+=(other);
             return *this;
         }
-        inline DualComplex<T> operator+(const Dual<Complex<T>>& other) const {
+        DualComplex<T> operator+(const Dual<Complex<T>>& other) const {
             return Dual<Complex<T>>::operator+(other);
         }
-        inline DualComplex<T>& operator-=(const Dual<Complex<T>>& other) {
+        DualComplex<T>& operator-=(const Dual<Complex<T>>& other) {
             Dual<Complex<T>>::operator-=(other);
             return *this;
         }
-        inline DualComplex<T> operator-(const Dual<Complex<T>>& other) const {
+        DualComplex<T> operator-(const Dual<Complex<T>>& other) const {
             return Dual<Complex<T>>::operator-(other);
         }
         #endif
 
     private:
         /* Used by Dual operators and dualConjugated() */
-        inline constexpr DualComplex(const Dual<Complex<T>>& other): Dual<Complex<T>>(other) {}
+        constexpr DualComplex(const Dual<Complex<T>>& other): Dual<Complex<T>>(other) {}
 
         /* Just to be sure nobody uses this, as it wouldn't probably work with
            our operator*() */

src/Math/DualQuaternion.h

@@ -58,7 +58,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          *      DualComplex::rotation(), Vector3::xAxis(), Vector3::yAxis(),
          *      Vector3::zAxis(), Vector::isNormalized()
          */
-        inline static DualQuaternion<T> rotation(Rad<T> angle, const Vector3<T>& normalizedAxis) {
+        static DualQuaternion<T> rotation(Rad<T> angle, const Vector3<T>& normalizedAxis) {
             return {Quaternion<T>::rotation(angle, normalizedAxis), {{}, T(0)}};
         }
 
@@ -75,7 +75,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          *      DualComplex::translation(), Vector3::xAxis(), Vector3::yAxis(),
          *      Vector3::zAxis()
          */
-        inline static DualQuaternion<T> translation(const Vector3<T>& vector) {
+        static DualQuaternion<T> translation(const Vector3<T>& vector) {
             return {{}, {vector/T(2), T(0)}};
         }
 
@@ -86,7 +86,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          * @see toMatrix(), Quaternion::fromMatrix(),
          *      Matrix4::isRigidTransformation()
          */
-        inline static DualQuaternion<T> fromMatrix(const Matrix4<T>& matrix) {
+        static DualQuaternion<T> fromMatrix(const Matrix4<T>& matrix) {
             CORRADE_ASSERT(matrix.isRigidTransformation(),
                 "Math::DualQuaternion::fromMatrix(): the matrix doesn't represent rigid transformation", {});
 
@@ -103,9 +103,9 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          * @todoc Remove workaround when Doxygen is predictable
          */
         #ifdef DOXYGEN_GENERATING_OUTPUT
-        inline constexpr /*implicit*/ DualQuaternion();
+        constexpr /*implicit*/ DualQuaternion();
         #else
-        inline constexpr /*implicit*/ DualQuaternion(): Dual<Quaternion<T>>({}, {{}, T(0)}) {}
+        constexpr /*implicit*/ DualQuaternion(): Dual<Quaternion<T>>({}, {{}, T(0)}) {}
         #endif
 
         /**
@@ -115,7 +115,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          *      \hat q = q_0 + \epsilon q_\epsilon
          * @f]
          */
-        inline constexpr /*implicit*/ DualQuaternion(const Quaternion<T>& real, const Quaternion<T>& dual = Quaternion<T>({}, T(0))): Dual<Quaternion<T>>(real, dual) {}
+        constexpr /*implicit*/ DualQuaternion(const Quaternion<T>& real, const Quaternion<T>& dual = Quaternion<T>({}, T(0))): Dual<Quaternion<T>>(real, dual) {}
 
         /**
          * @brief Construct dual quaternion from vector
@@ -127,9 +127,9 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          * @todoc Remove workaround when Doxygen is predictable
          */
         #ifdef DOXYGEN_GENERATING_OUTPUT
-        inline constexpr explicit DualQuaternion(const Vector3<T>& vector);
+        constexpr explicit DualQuaternion(const Vector3<T>& vector);
         #else
-        inline constexpr explicit DualQuaternion(const Vector3<T>& vector): Dual<Quaternion<T>>({}, {vector, T(0)}) {}
+        constexpr explicit DualQuaternion(const Vector3<T>& vector): Dual<Quaternion<T>>({}, {vector, T(0)}) {}
         #endif
 
         /**
@@ -140,7 +140,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          * @f]
          * @see lengthSquared(), normalized()
          */
-        inline bool isNormalized() const {
+        bool isNormalized() const {
             /* Comparing dual part classically, as comparing sqrt() of it would
                lead to overly strict precision */
             Dual<T> a = lengthSquared();
@@ -153,7 +153,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          *
          * @see Quaternion::angle(), Quaternion::axis()
          */
-        inline constexpr Quaternion<T> rotation() const {
+        constexpr Quaternion<T> rotation() const {
             return this->real();
         }
 
@@ -165,7 +165,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          * @f]
          * @see translation(const Vector3&)
          */
-        inline Vector3<T> translation() const {
+        Vector3<T> translation() const {
             return (this->dual()*this->real().conjugated()).vector()*T(2);
         }
 
@@ -186,7 +186,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          * @f]
          * @see dualConjugated(), conjugated(), Quaternion::conjugated()
          */
-        inline DualQuaternion<T> quaternionConjugated() const {
+        DualQuaternion<T> quaternionConjugated() const {
             return {this->real().conjugated(), this->dual().conjugated()};
         }
 
@@ -198,7 +198,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          * @f]
          * @see quaternionConjugated(), conjugated(), Dual::conjugated()
          */
-        inline DualQuaternion<T> dualConjugated() const {
+        DualQuaternion<T> dualConjugated() const {
             return Dual<Quaternion<T>>::conjugated();
         }
 
@@ -211,7 +211,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          * @see quaternionConjugated(), dualConjugated(), Quaternion::conjugated(),
          *      Dual::conjugated()
          */
-        inline DualQuaternion<T> conjugated() const {
+        DualQuaternion<T> conjugated() const {
             return {this->real().conjugated(), {this->dual().vector(), -this->dual().scalar()}};
         }
 
@@ -223,7 +223,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          *      |\hat q|^2 = \sqrt{\hat q^* \hat q}^2 = q_0 \cdot q_0 + \epsilon 2 (q_0 \cdot q_\epsilon)
          * @f]
          */
-        inline Dual<T> lengthSquared() const {
+        Dual<T> lengthSquared() const {
             return {this->real().dot(), T(2)*Quaternion<T>::dot(this->real(), this->dual())};
         }
 
@@ -235,7 +235,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          *      |\hat q| = \sqrt{\hat q^* \hat q} = |q_0| + \epsilon \frac{q_0 \cdot q_\epsilon}{|q_0|}
          * @f]
          */
-        inline Dual<T> length() const {
+        Dual<T> length() const {
             return Math::sqrt(lengthSquared());
         }
 
@@ -244,7 +244,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          *
          * @see isNormalized()
          */
-        inline DualQuaternion<T> normalized() const {
+        DualQuaternion<T> normalized() const {
             return (*this)/length();
         }
 
@@ -256,7 +256,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          *      \hat q^{-1} = \frac{\hat q^*}{|\hat q|^2}
          * @f]
          */
-        inline DualQuaternion<T> inverted() const {
+        DualQuaternion<T> inverted() const {
             return quaternionConjugated()/lengthSquared();
         }
 
@@ -269,7 +269,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          * @f]
          * @see isNormalized(), inverted()
          */
-        inline DualQuaternion<T> invertedNormalized() const {
+        DualQuaternion<T> invertedNormalized() const {
             CORRADE_ASSERT(isNormalized(),
                            "Math::DualQuaternion::invertedNormalized(): dual quaternion must be normalized", {});
             return quaternionConjugated();
@@ -285,7 +285,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          * @see DualQuaternion(const Vector3&), dual(), Matrix4::transformPoint(),
          *      Quaternion::transformVector(), DualComplex::transformPoint()
          */
-        inline Vector3<T> transformPoint(const Vector3<T>& vector) const {
+        Vector3<T> transformPoint(const Vector3<T>& vector) const {
             return ((*this)*DualQuaternion<T>(vector)*inverted().dualConjugated()).dual().vector();
         }
 
@@ -300,7 +300,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
          *      Matrix4::transformPoint(), Quaternion::transformVectorNormalized(),
          *      DualComplex::transformPointNormalized()
          */
-        inline Vector3<T> transformPointNormalized(const Vector3<T>& vector) const {
+        Vector3<T> transformPointNormalized(const Vector3<T>& vector) const {
             CORRADE_ASSERT(isNormalized(),
                            "Math::DualQuaternion::transformPointNormalized(): dual quaternion must be normalized",
                            Vector3<T>(std::numeric_limits<T>::quiet_NaN()));
@@ -311,7 +311,7 @@ template<class T> class DualQuaternion: public Dual<Quaternion<T>> {
 
     private:
         /* Used by Dual operators and dualConjugated() */
-        inline constexpr DualQuaternion(const Dual<Quaternion<T>>& other): Dual<Quaternion<T>>(other) {}
+        constexpr DualQuaternion(const Dual<Quaternion<T>>& other): Dual<Quaternion<T>>(other) {}
 };
 
 /** @debugoperator{Magnum::Math::DualQuaternion} */

src/Math/Functions.h

@@ -42,14 +42,14 @@ namespace Implementation {
     template<UnsignedInt exponent> struct Pow {
         Pow() = delete;
 
-        template<class T> inline constexpr static T pow(T base) {
+        template<class T> constexpr static T pow(T base) {
             return base*Pow<exponent-1>::pow(base);
         }
     };
     template<> struct Pow<0> {
         Pow() = delete;
 
-        template<class T> inline constexpr static T pow(T) { return 1; }
+        template<class T> constexpr static T pow(T) { return 1; }
     };
 }
 
@@ -58,7 +58,7 @@ namespace Implementation {
  *
  * Returns integral power of base to the exponent.
  */
-template<UnsignedInt exponent, class T> inline constexpr T pow(T base) {
+template<UnsignedInt exponent, class T> constexpr T pow(T base) {
     return Implementation::Pow<exponent>::pow(base);
 }
 

src/Math/Geometry/Distance.h

@@ -51,7 +51,7 @@ class Distance {
          * Source: http://mathworld.wolfram.com/Point-LineDistance2-Dimensional.html
          * @see linePointSquared(const Vector2&, const Vector2&, const Vector2&)
          */
-        template<class T> inline static T linePoint(const Vector2<T>& a, const Vector2<T>& b, const Vector2<T>& point) {
+        template<class T> static T linePoint(const Vector2<T>& a, const Vector2<T>& b, const Vector2<T>& point) {
             const Vector2<T> bMinusA = b - a;
             return std::abs(Vector2<T>::cross(bMinusA, a - point))/bMinusA.length();
         }
@@ -66,7 +66,7 @@ class Distance {
          * for comparing distance with other values, because it doesn't
          * compute the square root.
          */
-        template<class T> inline static T linePointSquared(const Vector2<T>& a, const Vector2<T>& b, const Vector2<T>& point) {
+        template<class T> static T linePointSquared(const Vector2<T>& a, const Vector2<T>& b, const Vector2<T>& point) {
             const Vector2<T> bMinusA = b - a;
             return Math::pow<2>(Vector2<T>::cross(bMinusA, a - point))/bMinusA.dot();
         }
@@ -85,7 +85,7 @@ class Distance {
          * Source: http://mathworld.wolfram.com/Point-LineDistance3-Dimensional.html
          * @see linePointSquared(const Vector3&, const Vector3&, const Vector3&)
          */
-        template<class T> inline static T linePoint(const Vector3<T>& a, const Vector3<T>& b, const Vector3<T>& point) {
+        template<class T> static T linePoint(const Vector3<T>& a, const Vector3<T>& b, const Vector3<T>& point) {
             return std::sqrt(linePointSquared(a, b, point));
         }
 
@@ -126,25 +126,7 @@ class Distance {
          *
          * @see lineSegmentPointSquared()
          */
-        template<class T> inline static T lineSegmentPoint(const Vector2<T>& a, const Vector2<T>& b, const Vector2<T>& point) {
-            const Vector2<T> pointMinusA = point - a;
-            const Vector2<T> pointMinusB = point - b;
-            const Vector2<T> bMinusA = b - a;
-            const T pointDistanceA = pointMinusA.dot();
-            const T pointDistanceB = pointMinusB.dot();
-            const T bDistanceA = bMinusA.dot();
-
-            /* Point is before A */
-            if(pointDistanceB > bDistanceA + pointDistanceA)
-                return std::sqrt(pointDistanceA);
-
-            /* Point is after B */
-            if(pointDistanceA > bDistanceA + pointDistanceB)
-                return std::sqrt(pointDistanceB);
-
-            /* Between A and B */
-            return std::abs(Vector2<T>::cross(bMinusA, -pointMinusA))/std::sqrt(bDistanceA);
-        }
+        template<class T> static T lineSegmentPoint(const Vector2<T>& a, const Vector2<T>& b, const Vector2<T>& point);
 
         /**
          * @brief %Distance of point from line segment in 2D, squared
@@ -152,25 +134,7 @@ class Distance {
          * More efficient than lineSegmentPoint() for comparing distance with
          * other values, because it doesn't compute the square root.
          */
-        template<class T> static T lineSegmentPointSquared(const Vector2<T>& a, const Vector2<T>& b, const Vector2<T>& point) {
-            const Vector2<T> pointMinusA = point - a;
-            const Vector2<T> pointMinusB = point - b;
-            const Vector2<T> bMinusA = b - a;
-            const T pointDistanceA = pointMinusA.dot();
-            const T pointDistanceB = pointMinusB.dot();
-            const T bDistanceA = bMinusA.dot();
-
-            /* Point is before A */
-            if(pointDistanceB > bDistanceA + pointDistanceA)
-                return pointDistanceA;
-
-            /* Point is after B */
-            if(pointDistanceA > bDistanceA + pointDistanceB)
-                return pointDistanceB;
-
-            /* Between A and B */
-            return Math::pow<2>(Vector2<T>::cross(bMinusA, -pointMinusA))/bDistanceA;
-        }
+        template<class T> static T lineSegmentPointSquared(const Vector2<T>& a, const Vector2<T>& b, const Vector2<T>& point);
 
         /**
          * @brief %Dístance of point from line segment in 3D
@@ -183,7 +147,7 @@ class Distance {
          *
          * @see lineSegmentPointSquared(const Vector3&, const Vector3&, const Vector3&)
          */
-        template<class T> inline static T lineSegmentPoint(const Vector3<T>& a, const Vector3<T>& b, const Vector3<T>& point) {
+        template<class T> static T lineSegmentPoint(const Vector3<T>& a, const Vector3<T>& b, const Vector3<T>& point) {
             return std::sqrt(lineSegmentPointSquared(a, b, point));
         }
 
@@ -193,26 +157,68 @@ class Distance {
          * More efficient than lineSegmentPoint(const Vector3&, const Vector3&, const Vector3&) for comparing distance with
          * other values, because it doesn't compute the square root.
          */
-        template<class T> static T lineSegmentPointSquared(const Vector3<T>& a, const Vector3<T>& b, const Vector3<T>& point) {
-            const Vector3<T> pointMinusA = point - a;
-            const Vector3<T> pointMinusB = point - b;
-            const T pointDistanceA = pointMinusA.dot();
-            const T pointDistanceB = pointMinusB.dot();
-            const T bDistanceA = (b - a).dot();
-
-            /* Point is before A */
-            if(pointDistanceB > bDistanceA + pointDistanceA)
-                return pointDistanceA;
-
-            /* Point is after B */
-            if(pointDistanceA > bDistanceA + pointDistanceB)
-                return pointDistanceB;
-
-            /* Between A and B */
-            return Vector3<T>::cross(pointMinusA, pointMinusB).dot()/bDistanceA;
-        }
+        template<class T> static T lineSegmentPointSquared(const Vector3<T>& a, const Vector3<T>& b, const Vector3<T>& point);
 };
 
+template<class T> T Distance::lineSegmentPoint(const Vector2<T>& a, const Vector2<T>& b, const Vector2<T>& point) {
+    const Vector2<T> pointMinusA = point - a;
+    const Vector2<T> pointMinusB = point - b;
+    const Vector2<T> bMinusA = b - a;
+    const T pointDistanceA = pointMinusA.dot();
+    const T pointDistanceB = pointMinusB.dot();
+    const T bDistanceA = bMinusA.dot();
+
+    /* Point is before A */
+    if(pointDistanceB > bDistanceA + pointDistanceA)
+        return std::sqrt(pointDistanceA);
+
+    /* Point is after B */
+    if(pointDistanceA > bDistanceA + pointDistanceB)
+        return std::sqrt(pointDistanceB);
+
+    /* Between A and B */
+    return std::abs(Vector2<T>::cross(bMinusA, -pointMinusA))/std::sqrt(bDistanceA);
+}
+
+template<class T> T Distance::lineSegmentPointSquared(const Vector2<T>& a, const Vector2<T>& b, const Vector2<T>& point) {
+    const Vector2<T> pointMinusA = point - a;
+    const Vector2<T> pointMinusB = point - b;
+    const Vector2<T> bMinusA = b - a;
+    const T pointDistanceA = pointMinusA.dot();
+    const T pointDistanceB = pointMinusB.dot();
+    const T bDistanceA = bMinusA.dot();
+
+    /* Point is before A */
+    if(pointDistanceB > bDistanceA + pointDistanceA)
+        return pointDistanceA;
+
+    /* Point is after B */
+    if(pointDistanceA > bDistanceA + pointDistanceB)
+        return pointDistanceB;
+
+    /* Between A and B */
+    return Math::pow<2>(Vector2<T>::cross(bMinusA, -pointMinusA))/bDistanceA;
+}
+
+template<class T> T Distance::lineSegmentPointSquared(const Vector3<T>& a, const Vector3<T>& b, const Vector3<T>& point) {
+    const Vector3<T> pointMinusA = point - a;
+    const Vector3<T> pointMinusB = point - b;
+    const T pointDistanceA = pointMinusA.dot();
+    const T pointDistanceB = pointMinusB.dot();
+    const T bDistanceA = (b - a).dot();
+
+    /* Point is before A */
+    if(pointDistanceB > bDistanceA + pointDistanceA)
+        return pointDistanceA;
+
+    /* Point is after B */
+    if(pointDistanceA > bDistanceA + pointDistanceB)
+        return pointDistanceB;
+
+    /* Between A and B */
+    return Vector3<T>::cross(pointMinusA, pointMinusB).dot()/bDistanceA;
+}
+
 }}}
 
 #endif

src/Math/Geometry/Rectangle.h

@@ -51,7 +51,7 @@ template<class T> class Rectangle {
          * @param bottomLeft    Bottom left rectangle corner
          * @param size          %Rectangle size
          */
-        inline static Rectangle<T> fromSize(const Vector2<T>& bottomLeft, const Vector2<T>& size) {
+        static Rectangle<T> fromSize(const Vector2<T>& bottomLeft, const Vector2<T>& size) {
             return {bottomLeft, bottomLeft+size};
         }
 
@@ -60,10 +60,10 @@ template<class T> class Rectangle {
          *
          * Construct zero-area rectangle positioned at origin.
          */
-        inline constexpr Rectangle() {}
+        constexpr Rectangle() {}
 
         /** @brief Construct rectangle from two corners */
-        inline constexpr Rectangle(const Vector2<T>& bottomLeft, const Vector2<T>& topRight): _bottomLeft(bottomLeft), _topRight(topRight) {}
+        constexpr Rectangle(const Vector2<T>& bottomLeft, const Vector2<T>& topRight): _bottomLeft(bottomLeft), _topRight(topRight) {}
 
         /**
          * @brief Construct rectangle from another of different type
@@ -75,64 +75,62 @@ template<class T> class Rectangle {
          * Rectangle<Byte> integral(floatingPoint); // {{1, 2}, {-15, 7}}
          * @endcode
          */
-        template<class U> inline constexpr explicit Rectangle(const Rectangle<U>& other): _bottomLeft(other._bottomLeft), _topRight(other._topRight) {}
+        template<class U> constexpr explicit Rectangle(const Rectangle<U>& other): _bottomLeft(other._bottomLeft), _topRight(other._topRight) {}
 
         /** @brief Copy constructor */
-        inline constexpr Rectangle(const Rectangle<T>&) = default;
+        constexpr Rectangle(const Rectangle<T>&) = default;
 
         /** @brief Assignment operator */
-        inline Rectangle<T>& operator=(const Rectangle<T>&) = default;
+        Rectangle<T>& operator=(const Rectangle<T>&) = default;
 
         /** @brief Equality operator */
-        inline constexpr bool operator==(const Rectangle<T>& other) const {
+        constexpr bool operator==(const Rectangle<T>& other) const {
             return _bottomLeft == other._bottomLeft && _topRight == other._topRight;
         }
 
         /** @brief Non-equality operator */
-        inline constexpr bool operator!=(const Rectangle<T>& other) const {
+        constexpr bool operator!=(const Rectangle<T>& other) const {
             return !operator==(other);
         }
 
         /** @brief Bottom left corner */
-        inline Vector2<T>& bottomLeft() { return _bottomLeft; }
-        inline constexpr Vector2<T> bottomLeft() const { return _bottomLeft; } /**< @overload */
+        Vector2<T>& bottomLeft() { return _bottomLeft; }
+        constexpr Vector2<T> bottomLeft() const { return _bottomLeft; } /**< @overload */
 
         /** @brief Bottom right corner */
-        inline constexpr Vector2<T> bottomRight() const { return {_topRight.x(), _bottomLeft.y()}; } /**< @overload */
+        constexpr Vector2<T> bottomRight() const { return {_topRight.x(), _bottomLeft.y()}; } /**< @overload */
 
         /** @brief Top left corner */
-        inline constexpr Vector2<T> topLeft() const { return {_bottomLeft.x(), _topRight.y()}; } /**< @overload */
+        constexpr Vector2<T> topLeft() const { return {_bottomLeft.x(), _topRight.y()}; } /**< @overload */
 
         /** @brief Top right corner */
-        inline Vector2<T>& topRight() { return _topRight; }
-        inline constexpr Vector2<T> topRight() const { return _topRight; } /**< @overload */
+        Vector2<T>& topRight() { return _topRight; }
+        constexpr Vector2<T> topRight() const { return _topRight; } /**< @overload */
 
         /** @brief Bottom edge */
-        inline T& bottom() { return _bottomLeft.y(); }
-        inline constexpr T bottom() const { return _bottomLeft.y(); } /**< @overload */
+        T& bottom() { return _bottomLeft.y(); }
+        constexpr T bottom() const { return _bottomLeft.y(); } /**< @overload */
 
         /** @brief Top edge */
-        inline T& top() { return _topRight.y(); }
-        inline constexpr T top() const { return _topRight.y(); } /**< @overload */
+        T& top() { return _topRight.y(); }
+        constexpr T top() const { return _topRight.y(); } /**< @overload */
 
         /** @brief Left edge */
-        inline T& left() { return _bottomLeft.x(); }
-        inline constexpr T left() const { return _bottomLeft.x(); } /**< @overload */
+        T& left() { return _bottomLeft.x(); }
+        constexpr T left() const { return _bottomLeft.x(); } /**< @overload */
 
         /** @brief Right edge */
-        inline T& right() { return _topRight.x(); }
-        inline constexpr T right() const { return _topRight.x(); } /**< @overload */
+        T& right() { return _topRight.x(); }
+        constexpr T right() const { return _topRight.x(); } /**< @overload */
 
         /** @brief %Rectangle size */
-        inline constexpr Vector2<T> size() const {
-            return _topRight-_bottomLeft;
-        }
+        constexpr Vector2<T> size() const { return _topRight-_bottomLeft; }
 
         /** @brief %Rectangle width */
-        inline constexpr T width() const { return _topRight.x() - _bottomLeft.x(); }
+        constexpr T width() const { return _topRight.x() - _bottomLeft.x(); }
 
         /** @brief %Rectangle height */
-        inline constexpr T height() const { return _topRight.y() - _bottomLeft.y(); }
+        constexpr T height() const { return _topRight.y() - _bottomLeft.y(); }
 
     private:
         Vector2<T> _bottomLeft;

src/Math/Matrix.h

@@ -58,7 +58,7 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
          *
          * Use this constructor by calling `Matrix m(Matrix::Zero);`.
          */
-        inline constexpr explicit Matrix(ZeroType) {}
+        constexpr explicit Matrix(ZeroType) {}
 
         /** @brief Pass to constructor to create identity matrix */
         enum IdentityType { Identity };
@@ -71,7 +71,7 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
          * you to specify value on diagonal.
          * @todo use constexpr fromDiagonal() for this when it's done
          */
-        inline /*implicit*/ Matrix(IdentityType = Identity, T value = T(1)) {
+        /*implicit*/ Matrix(IdentityType = Identity, T value = T(1)) {
             for(std::size_t i = 0; i != size; ++i)
                 (*this)[i][i] = value;
         }
@@ -81,7 +81,7 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
          * @param first First column vector
          * @param next  Next column vectors
          */
-        template<class ...U> inline constexpr /*implicit*/ Matrix(const Vector<size, T>& first, const U&... next): RectangularMatrix<size, size, T>(first, next...) {}
+        template<class ...U> constexpr /*implicit*/ Matrix(const Vector<size, T>& first, const U&... next): RectangularMatrix<size, size, T>(first, next...) {}
 
         /**
          * @brief Construct matrix from another of different type
@@ -95,13 +95,13 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
          * // integral == {{1, 2}, {-15, 7}}
          * @endcode
          */
-        template<class U> inline constexpr explicit Matrix(const RectangularMatrix<size, size, U>& other): RectangularMatrix<size, size, T>(other) {}
+        template<class U> constexpr explicit Matrix(const RectangularMatrix<size, size, U>& other): RectangularMatrix<size, size, T>(other) {}
 
         /** @brief Construct matrix from external representation */
-        template<class U, class V = decltype(Implementation::RectangularMatrixConverter<size, size, T, U>::from(std::declval<U>()))> inline constexpr explicit Matrix(const U& other): RectangularMatrix<size, size, T>(Implementation::RectangularMatrixConverter<size, size, T, U>::from(other)) {}
+        template<class U, class V = decltype(Implementation::RectangularMatrixConverter<size, size, T, U>::from(std::declval<U>()))> constexpr explicit Matrix(const U& other): RectangularMatrix<size, size, T>(Implementation::RectangularMatrixConverter<size, size, T, U>::from(other)) {}
 
         /** @brief Copy constructor */
-        inline constexpr Matrix(const RectangularMatrix<size, size, T>& other): RectangularMatrix<size, size, T>(other) {}
+        constexpr Matrix(const RectangularMatrix<size, size, T>& other): RectangularMatrix<size, size, T>(other) {}
 
         /**
          * @brief Whether the matrix is orthogonal
@@ -112,19 +112,7 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
          * @see transposed(), inverted(), Matrix3::isRigidTransformation(),
          *      Matrix4::isRigidTransformation()
          */
-        bool isOrthogonal() const {
-            /* Normality */
-            for(std::size_t i = 0; i != size; ++i)
-                if(!(*this)[i].isNormalized()) return false;
-
-            /* Orthogonality */
-            for(std::size_t i = 0; i != size-1; ++i)
-                for(std::size_t j = i+1; j != size; ++j)
-                    if(Vector<size, T>::dot((*this)[i], (*this)[j]) > TypeTraits<T>::epsilon())
-                        return false;
-
-            return true;
-        }
+        bool isOrthogonal() const;
 
         /**
          * @brief Trace of the matrix
@@ -133,21 +121,10 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
          * tr(A) = \sum_{i=1}^n a_{i,i}
          * @f]
          */
-        T trace() const {
-            return this->diagonal().sum();
-        }
+        T trace() const { return this->diagonal().sum(); }
 
         /** @brief %Matrix without given column and row */
-        Matrix<size-1, T> ij(std::size_t skipCol, std::size_t skipRow) const {
-            Matrix<size-1, T> out(Matrix<size-1, T>::Zero);
-
-            for(std::size_t col = 0; col != size-1; ++col)
-                for(std::size_t row = 0; row != size-1; ++row)
-                    out[col][row] = (*this)[col + (col >= skipCol)]
-                                           [row + (row >= skipRow)];
-
-            return out;
-        }
+        Matrix<size-1, T> ij(std::size_t skipCol, std::size_t skipRow) const;
 
         /**
          * @brief Determinant
@@ -160,7 +137,7 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
          *      \det(A) = a_{0, 0} a_{1, 1} - a_{1, 0} a_{0, 1}
          * @f]
          */
-        inline T determinant() const { return Implementation::MatrixDeterminant<size, T>()(*this); }
+        T determinant() const { return Implementation::MatrixDeterminant<size, T>()(*this); }
 
         /**
          * @brief Inverted matrix
@@ -171,17 +148,7 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
          * See invertedOrthogonal(), Matrix3::invertedRigid() and Matrix4::invertedRigid()
          * which are faster alternatives for particular matrix types.
          */
-        Matrix<size, T> inverted() const {
-            Matrix<size, T> out(Zero);
-
-            T _determinant = determinant();
-
-            for(std::size_t col = 0; col != size; ++col)
-                for(std::size_t row = 0; row != size; ++row)
-                    out[col][row] = (((row+col) & 1) ? -1 : 1)*ij(row, col).determinant()/_determinant;
-
-            return out;
-        }
+        Matrix<size, T> inverted() const;
 
         /**
          * @brief Inverted orthogonal matrix
@@ -192,7 +159,7 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
          * @see inverted(), isOrthogonal(), Matrix3::invertedRigid(),
          *      Matrix4::invertedRigid()
          */
-        inline Matrix<size, T> invertedOrthogonal() const {
+        Matrix<size, T> invertedOrthogonal() const {
             CORRADE_ASSERT(isOrthogonal(),
                 "Math::Matrix::invertedOrthogonal(): the matrix is not orthogonal", {});
             return this->transposed();
@@ -200,13 +167,13 @@ template<std::size_t size, class T> class Matrix: public RectangularMatrix<size,
 
         #ifndef DOXYGEN_GENERATING_OUTPUT
         /* Reimplementation of functions to return correct type */
-        inline Matrix<size, T> operator*(const Matrix<size, T>& other) const {
+        Matrix<size, T> operator*(const Matrix<size, T>& other) const {
             return RectangularMatrix<size, size, T>::operator*(other);
         }
-        template<std::size_t otherCols> inline RectangularMatrix<otherCols, size, T> operator*(const RectangularMatrix<otherCols, size, T>& other) const {
+        template<std::size_t otherCols> RectangularMatrix<otherCols, size, T> operator*(const RectangularMatrix<otherCols, size, T>& other) const {
             return RectangularMatrix<size, size, T>::operator*(other);
         }
-        inline Vector<size, T> operator*(const Vector<size, T>& other) const {
+        Vector<size, T> operator*(const Vector<size, T>& other) const {
             return RectangularMatrix<size, size, T>::operator*(other);
         }
         MAGNUM_RECTANGULARMATRIX_SUBCLASS_IMPLEMENTATION(size, size, Matrix<size, T>)
@@ -232,29 +199,29 @@ template<std::size_t size, class T> inline Corrade::Utility::Debug operator<<(Co
 
 #ifndef DOXYGEN_GENERATING_OUTPUT
 #define MAGNUM_MATRIX_SUBCLASS_IMPLEMENTATION(Type, VectorType, size)       \
-    inline VectorType<T>& operator[](std::size_t col) {                     \
+    VectorType<T>& operator[](std::size_t col) {                            \
         return static_cast<VectorType<T>&>(Matrix<size, T>::operator[](col)); \
     }                                                                       \
-    inline constexpr const VectorType<T> operator[](std::size_t col) const { \
+    constexpr const VectorType<T> operator[](std::size_t col) const {       \
         return VectorType<T>(Matrix<size, T>::operator[](col));             \
     }                                                                       \
-    inline VectorType<T> row(std::size_t row) const {                       \
+    VectorType<T> row(std::size_t row) const {                              \
         return VectorType<T>(Matrix<size, T>::row(row));                    \
     }                                                                       \
                                                                             \
-    inline Type<T> operator*(const Matrix<size, T>& other) const {          \
+    Type<T> operator*(const Matrix<size, T>& other) const {                 \
         return Matrix<size, T>::operator*(other);                           \
     }                                                                       \
-    template<std::size_t otherCols> inline RectangularMatrix<otherCols, size, T> operator*(const RectangularMatrix<otherCols, size, T>& other) const { \
+    template<std::size_t otherCols> RectangularMatrix<otherCols, size, T> operator*(const RectangularMatrix<otherCols, size, T>& other) const { \
         return Matrix<size, T>::operator*(other);                           \
     }                                                                       \
-    inline VectorType<T> operator*(const Vector<size, T>& other) const {    \
+    VectorType<T> operator*(const Vector<size, T>& other) const {           \
         return Matrix<size, T>::operator*(other);                           \
     }                                                                       \
                                                                             \
-    inline Type<T> transposed() const { return Matrix<size, T>::transposed(); } \
-    inline Type<T> inverted() const { return Matrix<size, T>::inverted(); } \
-    inline Type<T> invertedOrthogonal() const {                             \
+    Type<T> transposed() const { return Matrix<size, T>::transposed(); }    \
+    Type<T> inverted() const { return Matrix<size, T>::inverted(); }        \
+    Type<T> invertedOrthogonal() const {                                    \
         return Matrix<size, T>::invertedOrthogonal();                       \
     }
 
@@ -273,26 +240,28 @@ namespace Implementation {
 
 template<std::size_t size, class T> class MatrixDeterminant {
     public:
-        T operator()(const Matrix<size, T>& m) {
-            T out(0);
+        T operator()(const Matrix<size, T>& m);
+};
 
-            for(std::size_t col = 0; col != size; ++col)
-                out += ((col & 1) ? -1 : 1)*m[col][0]*m.ij(col, 0).determinant();
+template<std::size_t size, class T> T MatrixDeterminant<size, T>::operator()(const Matrix<size, T>& m) {
+    T out(0);
 
-            return out;
-        }
-};
+    for(std::size_t col = 0; col != size; ++col)
+        out += ((col & 1) ? -1 : 1)*m[col][0]*m.ij(col, 0).determinant();
+
+    return out;
+}
 
 template<class T> class MatrixDeterminant<2, T> {
     public:
-        inline constexpr T operator()(const Matrix<2, T>& m) {
+        constexpr T operator()(const Matrix<2, T>& m) {
             return m[0][0]*m[1][1] - m[1][0]*m[0][1];
         }
 };
 
 template<class T> class MatrixDeterminant<1, T> {
     public:
-        inline constexpr T operator()(const Matrix<1, T>& m) {
+        constexpr T operator()(const Matrix<1, T>& m) {
             return m[0][0];
         }
 };
@@ -300,6 +269,43 @@ template<class T> class MatrixDeterminant<1, T> {
 }
 #endif
 
+template<std::size_t size, class T> bool Matrix<size, T>::isOrthogonal() const {
+    /* Normality */
+    for(std::size_t i = 0; i != size; ++i)
+        if(!(*this)[i].isNormalized()) return false;
+
+    /* Orthogonality */
+    for(std::size_t i = 0; i != size-1; ++i)
+        for(std::size_t j = i+1; j != size; ++j)
+            if(Vector<size, T>::dot((*this)[i], (*this)[j]) > TypeTraits<T>::epsilon())
+                return false;
+
+    return true;
+}
+
+template<std::size_t size, class T> Matrix<size-1, T> Matrix<size, T>::ij(const std::size_t skipCol, const std::size_t skipRow) const {
+    Matrix<size-1, T> out(Matrix<size-1, T>::Zero);
+
+    for(std::size_t col = 0; col != size-1; ++col)
+        for(std::size_t row = 0; row != size-1; ++row)
+            out[col][row] = (*this)[col + (col >= skipCol)]
+                                    [row + (row >= skipRow)];
+
+    return out;
+}
+
+template<std::size_t size, class T> Matrix<size, T> Matrix<size, T>::inverted() const {
+    Matrix<size, T> out(Zero);
+
+    const T _determinant = determinant();
+
+    for(std::size_t col = 0; col != size; ++col)
+        for(std::size_t row = 0; row != size; ++row)
+            out[col][row] = (((row+col) & 1) ? -1 : 1)*ij(row, col).determinant()/_determinant;
+
+    return out;
+}
+
 }}
 
 namespace Corrade { namespace Utility {

src/Math/Matrix3.h

@@ -53,11 +53,7 @@ template<class T> class Matrix3: public Matrix<3, T> {
          *      Matrix4::translation(const Vector3&), Vector2::xAxis(),
          *      Vector2::yAxis()
          */
-        inline constexpr static Matrix3<T> translation(const Vector2<T>& vector) {
-            return {{      T(1),       T(0), T(0)},
-                    {      T(0),       T(1), T(0)},
-                    {vector.x(), vector.y(), T(1)}};
-        }
+        constexpr static Matrix3<T> translation(const Vector2<T>& vector);
 
         /**
          * @brief 2D scaling matrix
@@ -66,11 +62,7 @@ template<class T> class Matrix3: public Matrix<3, T> {
          * @see rotationScaling() const, Matrix4::scaling(const Vector3&),
          *      Vector2::xScale(), Vector2::yScale()
          */
-        inline constexpr static Matrix3<T> scaling(const Vector2<T>& vector) {
-            return {{vector.x(),       T(0), T(0)},
-                    {      T(0), vector.y(), T(0)},
-                    {      T(0),       T(0), T(1)}};
-        }
+        constexpr static Matrix3<T> scaling(const Vector2<T>& vector);
 
         /**
          * @brief 2D rotation matrix
@@ -79,14 +71,7 @@ template<class T> class Matrix3: public Matrix<3, T> {
          * @see rotation() const, Complex::rotation(), DualComplex::rotation(),
          *      Matrix4::rotation(Rad, const Vector3&)
          */
-        static Matrix3<T> rotation(Rad<T> angle) {
-            T sine = std::sin(T(angle));
-            T cosine = std::cos(T(angle));
-
-            return {{ cosine,   sine, T(0)},
-                    {  -sine, cosine, T(0)},
-                    {   T(0),   T(0), T(1)}};
-        }
+        static Matrix3<T> rotation(Rad<T> angle);
 
         /**
          * @brief 2D reflection matrix
@@ -120,14 +105,14 @@ template<class T> class Matrix3: public Matrix<3, T> {
          *
          * @see rotationScaling() const, translation() const
          */
-        inline constexpr static Matrix3<T> from(const Matrix<2, T>& rotationScaling, const Vector2<T>& translation) {
+        constexpr static Matrix3<T> from(const Matrix<2, T>& rotationScaling, const Vector2<T>& translation) {
             return {{rotationScaling[0], T(0)},
                     {rotationScaling[1], T(0)},
                     {       translation, T(1)}};
         }
 
         /** @copydoc Matrix::Matrix(ZeroType) */
-        inline constexpr explicit Matrix3(typename Matrix<3, T>::ZeroType): Matrix<3, T>(Matrix<3, T>::Zero) {}
+        constexpr explicit Matrix3(typename Matrix<3, T>::ZeroType): Matrix<3, T>(Matrix<3, T>::Zero) {}
 
         /**
          * @brief Default constructor
@@ -137,23 +122,19 @@ template<class T> class Matrix3: public Matrix<3, T> {
          * @p value allows you to specify value on diagonal.
          * @todo Use constexpr implementation in Matrix, when done
          */
-        inline constexpr /*implicit*/ Matrix3(typename Matrix<3, T>::IdentityType = (Matrix<3, T>::Identity), T value = T(1)): Matrix<3, T>(
-            Vector<3, T>(value,  T(0),  T(0)),
-            Vector<3, T>( T(0), value,  T(0)),
-            Vector<3, T>( T(0),  T(0), value)
-        ) {}
+        constexpr /*implicit*/ Matrix3(typename Matrix<3, T>::IdentityType = (Matrix<3, T>::Identity), T value = T(1));
 
         /** @brief %Matrix from column vectors */
-        inline constexpr /*implicit*/ Matrix3(const Vector3<T>& first, const Vector3<T>& second, const Vector3<T>& third): Matrix<3, T>(first, second, third) {}
+        constexpr /*implicit*/ Matrix3(const Vector3<T>& first, const Vector3<T>& second, const Vector3<T>& third): Matrix<3, T>(first, second, third) {}
 
         /** @copydoc Matrix::Matrix(const RectangularMatrix<size, size, U>&) */
-        template<class U> inline constexpr explicit Matrix3(const RectangularMatrix<3, 3, U>& other): Matrix<3, T>(other) {}
+        template<class U> constexpr explicit Matrix3(const RectangularMatrix<3, 3, U>& other): Matrix<3, T>(other) {}
 
         /** @brief Construct matrix from external representation */
-        template<class U, class V = decltype(Implementation::RectangularMatrixConverter<3, 3, T, U>::from(std::declval<U>()))> inline constexpr explicit Matrix3(const U& other): Matrix<3, T>(Implementation::RectangularMatrixConverter<3, 3, T, U>::from(other)) {}
+        template<class U, class V = decltype(Implementation::RectangularMatrixConverter<3, 3, T, U>::from(std::declval<U>()))> constexpr explicit Matrix3(const U& other): Matrix<3, T>(Implementation::RectangularMatrixConverter<3, 3, T, U>::from(other)) {}
 
         /** @brief Copy constructor */
-        inline constexpr Matrix3(const RectangularMatrix<3, 3, T>& other): Matrix<3, T>(other) {}
+        constexpr Matrix3(const RectangularMatrix<3, 3, T>& other): Matrix<3, T>(other) {}
 
         /**
          * @brief Check whether the matrix represents rigid transformation
@@ -162,7 +143,7 @@ template<class T> class Matrix3: public Matrix<3, T> {
          * no scaling or projection).
          * @see isOrthogonal()
          */
-        inline bool isRigidTransformation() const {
+        bool isRigidTransformation() const {
             return rotationScaling().isOrthogonal() && row(2) == Vector3<T>(T(0), T(0), T(1));
         }
 
@@ -174,7 +155,7 @@ template<class T> class Matrix3: public Matrix<3, T> {
          *      rotation(T), Matrix4::rotationScaling() const
          * @todo extract rotation with assert for no scaling
          */
-        inline constexpr Matrix<2, T> rotationScaling() const {
+        constexpr Matrix<2, T> rotationScaling() const {
             return {(*this)[0].xy(),
                     (*this)[1].xy()};
         }
@@ -186,7 +167,7 @@ template<class T> class Matrix3: public Matrix<3, T> {
          * @see rotationScaling() const, rotation(T), Matrix4::rotation() const
          * @todo assert uniform scaling (otherwise this would be garbage)
          */
-        inline Matrix<2, T> rotation() const {
+        Matrix<2, T> rotation() const {
             return {(*this)[0].xy().normalized(),
                     (*this)[1].xy().normalized()};
         }
@@ -199,8 +180,8 @@ template<class T> class Matrix3: public Matrix<3, T> {
          * First two elements of first column.
          * @see up(), Vector2::xAxis(), Matrix4::right()
          */
-        inline Vector2<T>& right() { return (*this)[0].xy(); }
-        inline constexpr Vector2<T> right() const { return (*this)[0].xy(); } /**< @overload */
+        Vector2<T>& right() { return (*this)[0].xy(); }
+        constexpr Vector2<T> right() const { return (*this)[0].xy(); } /**< @overload */
 
         /**
          * @brief Up-pointing 2D vector
@@ -208,8 +189,8 @@ template<class T> class Matrix3: public Matrix<3, T> {
          * First two elements of second column.
          * @see right(), Vector2::yAxis(), Matrix4::up()
          */
-        inline Vector2<T>& up() { return (*this)[1].xy(); }
-        inline constexpr Vector2<T> up() const { return (*this)[1].xy(); } /**< @overload */
+        Vector2<T>& up() { return (*this)[1].xy(); }
+        constexpr Vector2<T> up() const { return (*this)[1].xy(); } /**< @overload */
 
         /**
          * @brief 2D translation part of the matrix
@@ -218,8 +199,8 @@ template<class T> class Matrix3: public Matrix<3, T> {
          * @see from(const Matrix<2, T>&, const Vector2&),
          *      translation(const Vector2&), Matrix4::translation()
          */
-        inline Vector2<T>& translation() { return (*this)[2].xy(); }
-        inline constexpr Vector2<T> translation() const { return (*this)[2].xy(); } /**< @overload */
+        Vector2<T>& translation() { return (*this)[2].xy(); }
+        constexpr Vector2<T> translation() const { return (*this)[2].xy(); } /**< @overload */
 
         /**
          * @brief Inverted rigid transformation matrix
@@ -229,13 +210,7 @@ template<class T> class Matrix3: public Matrix<3, T> {
          * @see isRigidTransformation(), invertedOrthogonal(),
          *      rotationScaling() const, translation() const
          */
-        inline Matrix3<T> invertedRigid() const {
-            CORRADE_ASSERT(isRigidTransformation(),
-                "Math::Matrix3::invertedRigid(): the matrix doesn't represent rigid transformation", {});
-
-            Matrix<2, T> inverseRotation = rotationScaling().transposed();
-            return from(inverseRotation, inverseRotation*-translation());
-        }
+        Matrix3<T> invertedRigid() const;
 
         /**
          * @brief Transform 2D vector with the matrix
@@ -247,7 +222,7 @@ template<class T> class Matrix3: public Matrix<3, T> {
          * @see Complex::transformVector(), Matrix4::transformVector()
          * @todo extract 2x2 matrix and multiply directly? (benchmark that)
          */
-        inline Vector2<T> transformVector(const Vector2<T>& vector) const {
+        Vector2<T> transformVector(const Vector2<T>& vector) const {
             return ((*this)*Vector3<T>(vector, T(0))).xy();
         }
 
@@ -260,7 +235,7 @@ template<class T> class Matrix3: public Matrix<3, T> {
          * @f]
          * @see DualComplex::transformPoint(), Matrix4::transformPoint()
          */
-        inline Vector2<T> transformPoint(const Vector2<T>& vector) const {
+        Vector2<T> transformPoint(const Vector2<T>& vector) const {
             return ((*this)*Vector3<T>(vector, T(1))).xy();
         }
 
@@ -275,6 +250,41 @@ template<class T> inline Corrade::Utility::Debug operator<<(Corrade::Utility::De
     return debug << static_cast<const Matrix<3, T>&>(value);
 }
 
+template<class T> constexpr Matrix3<T>::Matrix3(typename Matrix<3, T>::IdentityType, const T value): Matrix<3, T>(
+    Vector<3, T>(value,  T(0),  T(0)),
+    Vector<3, T>( T(0), value,  T(0)),
+    Vector<3, T>( T(0),  T(0), value)
+) {}
+
+template<class T> constexpr Matrix3<T> Matrix3<T>::translation(const Vector2<T>& vector) {
+    return {{      T(1),       T(0), T(0)},
+            {      T(0),       T(1), T(0)},
+            {vector.x(), vector.y(), T(1)}};
+}
+
+template<class T> constexpr Matrix3<T> Matrix3<T>::scaling(const Vector2< T >& vector) {
+    return {{vector.x(),       T(0), T(0)},
+            {      T(0), vector.y(), T(0)},
+            {      T(0),       T(0), T(1)}};
+}
+
+template<class T> Matrix3<T> Matrix3<T>::rotation(const Rad<T> angle) {
+    const T sine = std::sin(T(angle));
+    const T cosine = std::cos(T(angle));
+
+    return {{ cosine,   sine, T(0)},
+            {  -sine, cosine, T(0)},
+            {   T(0),   T(0), T(1)}};
+}
+
+template<class T> inline Matrix3<T> Matrix3<T>::invertedRigid() const {
+    CORRADE_ASSERT(isRigidTransformation(),
+        "Math::Matrix3::invertedRigid(): the matrix doesn't represent rigid transformation", {});
+
+    Matrix<2, T> inverseRotation = rotationScaling().transposed();
+    return from(inverseRotation, inverseRotation*-translation());
+}
+
 }}
 
 namespace Corrade { namespace Utility {

src/Math/Matrix4.h

@@ -58,12 +58,7 @@ template<class T> class Matrix4: public Matrix<4, T> {
          *      Matrix3::translation(const Vector2&), Vector3::xAxis(),
          *      Vector3::yAxis(), Vector3::zAxis()
          */
-        inline constexpr static Matrix4<T> translation(const Vector3<T>& vector) {
-            return {{      T(1),       T(0),       T(0), T(0)},
-                    {      T(0),       T(1),       T(0), T(0)},
-                    {      T(0),       T(0),       T(1), T(0)},
-                    {vector.x(), vector.y(), vector.z(), T(1)}};
-        }
+        constexpr static Matrix4<T> translation(const Vector3<T>& vector);
 
         /**
          * @brief 3D scaling
@@ -72,12 +67,7 @@ template<class T> class Matrix4: public Matrix<4, T> {
          * @see rotationScaling() const, Matrix3::scaling(const Vector2&),
          *      Vector3::xScale(), Vector3::yScale(), Vector3::zScale()
          */
-        inline constexpr static Matrix4<T> scaling(const Vector3<T>& vector) {
-            return {{vector.x(),       T(0),       T(0), T(0)},
-                    {      T(0), vector.y(),       T(0), T(0)},
-                    {      T(0),       T(0), vector.z(), T(0)},
-                    {      T(0),       T(0),       T(0), T(1)}};
-        }
+        constexpr static Matrix4<T> scaling(const Vector3<T>& vector);
 
         /**
          * @brief 3D rotation around arbitrary axis
@@ -90,37 +80,7 @@ template<class T> class Matrix4: public Matrix<4, T> {
          *      Matrix3::rotation(Rad), Vector3::xAxis(), Vector3::yAxis(),
          *      Vector3::zAxis(), Vector::isNormalized()
          */
-        static Matrix4<T> rotation(Rad<T> angle, const Vector3<T>& normalizedAxis) {
-            CORRADE_ASSERT(normalizedAxis.isNormalized(),
-                           "Math::Matrix4::rotation(): axis must be normalized", {});
-
-            T sine = std::sin(T(angle));
-            T cosine = std::cos(T(angle));
-            T oneMinusCosine = T(1) - cosine;
-
-            T xx = normalizedAxis.x()*normalizedAxis.x();
-            T xy = normalizedAxis.x()*normalizedAxis.y();
-            T xz = normalizedAxis.x()*normalizedAxis.z();
-            T yy = normalizedAxis.y()*normalizedAxis.y();
-            T yz = normalizedAxis.y()*normalizedAxis.z();
-            T zz = normalizedAxis.z()*normalizedAxis.z();
-
-            return {
-                {cosine + xx*oneMinusCosine,
-                    xy*oneMinusCosine + normalizedAxis.z()*sine,
-                        xz*oneMinusCosine - normalizedAxis.y()*sine,
-                           T(0)},
-                {xy*oneMinusCosine - normalizedAxis.z()*sine,
-                    cosine + yy*oneMinusCosine,
-                        yz*oneMinusCosine + normalizedAxis.x()*sine,
-                           T(0)},
-                {xz*oneMinusCosine + normalizedAxis.y()*sine,
-                    yz*oneMinusCosine - normalizedAxis.x()*sine,
-                        cosine + zz*oneMinusCosine,
-                           T(0)},
-                {T(0), T(0), T(0), T(1)}
-            };
-        }
+        static Matrix4<T> rotation(Rad<T> angle, const Vector3<T>& normalizedAxis);
 
         /**
          * @brief 3D rotation around X axis
@@ -130,15 +90,7 @@ template<class T> class Matrix4: public Matrix<4, T> {
          * @see rotation(Rad, const Vector3&), rotationY(), rotationZ(),
          *      rotation() const, Quaternion::rotation(), Matrix3::rotation(Rad)
          */
-        static Matrix4<T> rotationX(Rad<T> angle) {
-            T sine = std::sin(T(angle));
-            T cosine = std::cos(T(angle));
-
-            return {{T(1),   T(0),   T(0), T(0)},
-                    {T(0), cosine,   sine, T(0)},
-                    {T(0),  -sine, cosine, T(0)},
-                    {T(0),   T(0),   T(0), T(1)}};
-        }
+        static Matrix4<T> rotationX(Rad<T> angle);
 
         /**
          * @brief 3D rotation around Y axis
@@ -148,15 +100,7 @@ template<class T> class Matrix4: public Matrix<4, T> {
          * @see rotation(Rad, const Vector3&), rotationX(), rotationZ(),
          *      rotation() const, Quaternion::rotation(), Matrix3::rotation(Rad)
          */
-        static Matrix4<T> rotationY(Rad<T> angle) {
-            T sine = std::sin(T(angle));
-            T cosine = std::cos(T(angle));
-
-            return {{cosine, T(0),  -sine, T(0)},
-                    {  T(0), T(1),   T(0), T(0)},
-                    {  sine, T(0), cosine, T(0)},
-                    {  T(0), T(0),   T(0), T(1)}};
-        }
+        static Matrix4<T> rotationY(Rad<T> angle);
 
         /**
          * @brief 3D rotation matrix around Z axis
@@ -166,15 +110,7 @@ template<class T> class Matrix4: public Matrix<4, T> {
          * @see rotation(Rad, const Vector3&), rotationX(), rotationY(),
          *      rotation() const, Quaternion::rotation(), Matrix3::rotation(Rad)
          */
-        static Matrix4<T> rotationZ(Rad<T> angle) {
-            T sine = std::sin(T(angle));
-            T cosine = std::cos(T(angle));
-
-            return {{cosine,   sine, T(0), T(0)},
-                    { -sine, cosine, T(0), T(0)},
-                    {  T(0),   T(0), T(1), T(0)},
-                    {  T(0),   T(0), T(0), T(1)}};
-        }
+        static Matrix4<T> rotationZ(Rad<T> angle);
 
         /**
          * @brief 3D reflection matrix
@@ -183,11 +119,7 @@ template<class T> class Matrix4: public Matrix<4, T> {
          * Expects that the normal is normalized.
          * @see Matrix3::reflection(), Vector::isNormalized()
          */
-        static Matrix4<T> reflection(const Vector3<T>& normal) {
-            CORRADE_ASSERT(normal.isNormalized(),
-                           "Math::Matrix4::reflection(): normal must be normalized", {});
-            return from(Matrix<3, T>() - T(2)*normal*RectangularMatrix<1, 3, T>(normal).transposed(), {});
-        }
+        static Matrix4<T> reflection(const Vector3<T>& normal);
 
         /**
          * @brief 3D orthographic projection matrix
@@ -197,15 +129,7 @@ template<class T> class Matrix4: public Matrix<4, T> {
          *
          * @see perspectiveProjection(), Matrix3::projection()
          */
-        static Matrix4<T> orthographicProjection(const Vector2<T>& size, T near, T far) {
-            Vector2<T> xyScale = T(2.0)/size;
-            T zScale = T(2.0)/(near-far);
-
-            return {{xyScale.x(),        T(0),             T(0), T(0)},
-                    {       T(0), xyScale.y(),             T(0), T(0)},
-                    {       T(0),        T(0),           zScale, T(0)},
-                    {       T(0),        T(0), near*zScale-T(1), T(1)}};
-        }
+        static Matrix4<T> orthographicProjection(const Vector2<T>& size, T near, T far);
 
         /**
          * @brief 3D perspective projection matrix
@@ -215,15 +139,7 @@ template<class T> class Matrix4: public Matrix<4, T> {
          *
          * @see orthographicProjection(), Matrix3::projection()
          */
-        static Matrix4<T> perspectiveProjection(const Vector2<T>& size, T near, T far) {
-            Vector2<T> xyScale = 2*near/size;
-            T zScale = T(1.0)/(near-far);
-
-            return {{xyScale.x(),        T(0),                 T(0),  T(0)},
-                    {       T(0), xyScale.y(),                 T(0),  T(0)},
-                    {       T(0),        T(0),    (far+near)*zScale, T(-1)},
-                    {       T(0),        T(0), T(2)*far*near*zScale,  T(0)}};
-        }
+        static Matrix4<T> perspectiveProjection(const Vector2<T>& size, T near, T far);
 
         /**
          * @brief 3D perspective projection matrix
@@ -235,8 +151,7 @@ template<class T> class Matrix4: public Matrix<4, T> {
          * @see orthographicProjection(), Matrix3::projection()
          */
         static Matrix4<T> perspectiveProjection(Rad<T> fov, T aspectRatio, T near, T far) {
-            T xyScale = 2*std::tan(T(fov)/2)*near;
-
+            const T xyScale = 2*std::tan(T(fov)/2)*near;
             return perspectiveProjection(Vector2<T>(xyScale, xyScale/aspectRatio), near, far);
         }
 
@@ -249,15 +164,10 @@ template<class T> class Matrix4: public Matrix<4, T> {
          *
          * @see rotationScaling() const, translation() const
          */
-        inline constexpr static Matrix4<T> from(const Matrix<3, T>& rotationScaling, const Vector3<T>& translation) {
-            return {{rotationScaling[0], T(0)},
-                    {rotationScaling[1], T(0)},
-                    {rotationScaling[2], T(0)},
-                    {       translation, T(1)}};
-        }
+        constexpr static Matrix4<T> from(const Matrix<3, T>& rotationScaling, const Vector3<T>& translation);
 
         /** @copydoc Matrix::Matrix(ZeroType) */
-        inline constexpr explicit Matrix4(typename Matrix<4, T>::ZeroType): Matrix<4, T>(Matrix<4, T>::Zero) {}
+        constexpr explicit Matrix4(typename Matrix<4, T>::ZeroType): Matrix<4, T>(Matrix<4, T>::Zero) {}
 
         /**
          * @brief Default constructor
@@ -267,24 +177,19 @@ template<class T> class Matrix4: public Matrix<4, T> {
          * @p value allows you to specify value on diagonal.
          * @todo Use constexpr implementation in Matrix, when done
          */
-        inline constexpr /*implicit*/ Matrix4(typename Matrix<4, T>::IdentityType = (Matrix<4, T>::Identity), T value = T(1)): Matrix<4, T>(
-            Vector<4, T>(value,  T(0),  T(0),  T(0)),
-            Vector<4, T>( T(0), value,  T(0),  T(0)),
-            Vector<4, T>( T(0),  T(0), value,  T(0)),
-            Vector<4, T>( T(0),  T(0),  T(0), value)
-        ) {}
+        constexpr /*implicit*/ Matrix4(typename Matrix<4, T>::IdentityType = (Matrix<4, T>::Identity), T value = T(1));
 
         /** @brief %Matrix from column vectors */
-        inline constexpr /*implicit*/ Matrix4(const Vector4<T>& first, const Vector4<T>& second, const Vector4<T>& third, const Vector4<T>& fourth): Matrix<4, T>(first, second, third, fourth) {}
+        constexpr /*implicit*/ Matrix4(const Vector4<T>& first, const Vector4<T>& second, const Vector4<T>& third, const Vector4<T>& fourth): Matrix<4, T>(first, second, third, fourth) {}
 
         /** @copydoc Matrix::Matrix(const RectangularMatrix<size, size, U>&) */
-        template<class U> inline constexpr explicit Matrix4(const RectangularMatrix<4, 4, U>& other): Matrix<4, T>(other) {}
+        template<class U> constexpr explicit Matrix4(const RectangularMatrix<4, 4, U>& other): Matrix<4, T>(other) {}
 
         /** @brief Construct matrix from external representation */
-        template<class U, class V = decltype(Implementation::RectangularMatrixConverter<4, 4, T, U>::from(std::declval<U>()))> inline constexpr explicit Matrix4(const U& other): Matrix<4, T>(Implementation::RectangularMatrixConverter<4, 4, T, U>::from(other)) {}
+        template<class U, class V = decltype(Implementation::RectangularMatrixConverter<4, 4, T, U>::from(std::declval<U>()))> constexpr explicit Matrix4(const U& other): Matrix<4, T>(Implementation::RectangularMatrixConverter<4, 4, T, U>::from(other)) {}
 
         /** @brief Copy constructor */
-        inline constexpr Matrix4(const RectangularMatrix<4, 4, T>& other): Matrix<4, T>(other) {}
+        constexpr Matrix4(const RectangularMatrix<4, 4, T>& other): Matrix<4, T>(other) {}
 
         /**
          * @brief Check whether the matrix represents rigid transformation
@@ -293,7 +198,7 @@ template<class T> class Matrix4: public Matrix<4, T> {
          * no scaling or projection).
          * @see isOrthogonal()
          */
-        inline bool isRigidTransformation() const {
+        bool isRigidTransformation() const {
             return rotationScaling().isOrthogonal() && row(3) == Vector4<T>(T(0), T(0), T(0), T(1));
         }
 
@@ -305,12 +210,8 @@ template<class T> class Matrix4: public Matrix<4, T> {
          *      rotation(T, const Vector3&), Matrix3::rotationScaling() const
          * @todo extract rotation with assert for no scaling
          */
-        inline constexpr Matrix<3, T> rotationScaling() const {
-            /* Not Matrix3, because it is for affine 2D transformations */
-            return {(*this)[0].xyz(),
-                    (*this)[1].xyz(),
-                    (*this)[2].xyz()};
-        }
+        /* Not Matrix3, because it is for affine 2D transformations */
+        constexpr Matrix<3, T> rotationScaling() const;
 
         /**
          * @brief 3D rotation part of the matrix
@@ -320,12 +221,8 @@ template<class T> class Matrix4: public Matrix<4, T> {
          *      Matrix3::rotation() const
          * @todo assert uniform scaling (otherwise this would be garbage)
          */
-        inline Matrix<3, T> rotation() const {
-            /* Not Matrix3, because it is for affine 2D transformations */
-            return {(*this)[0].xyz().normalized(),
-                    (*this)[1].xyz().normalized(),
-                    (*this)[2].xyz().normalized()};
-        }
+        /* Not Matrix3, because it is for affine 2D transformations */
+        Matrix<3, T> rotation() const;
 
         /** @todo uniform scaling extraction */
 
@@ -335,8 +232,8 @@ template<class T> class Matrix4: public Matrix<4, T> {
          * First three elements of first column.
          * @see up(), backward(), Vector3::xAxis(), Matrix3::right()
          */
-        inline Vector3<T>& right() { return (*this)[0].xyz(); }
-        inline constexpr Vector3<T> right() const { return (*this)[0].xyz(); } /**< @overload */
+        Vector3<T>& right() { return (*this)[0].xyz(); }
+        constexpr Vector3<T> right() const { return (*this)[0].xyz(); } /**< @overload */
 
         /**
          * @brief Up-pointing 3D vector
@@ -344,8 +241,8 @@ template<class T> class Matrix4: public Matrix<4, T> {
          * First three elements of second column.
          * @see right(), backward(), Vector3::yAxis(), Matrix3::up()
          */
-        inline Vector3<T>& up() { return (*this)[1].xyz(); }
-        inline constexpr Vector3<T> up() const { return (*this)[1].xyz(); } /**< @overload */
+        Vector3<T>& up() { return (*this)[1].xyz(); }
+        constexpr Vector3<T> up() const { return (*this)[1].xyz(); } /**< @overload */
 
         /**
          * @brief Backward-pointing 3D vector
@@ -353,8 +250,8 @@ template<class T> class Matrix4: public Matrix<4, T> {
          * First three elements of third column.
          * @see right(), up(), Vector3::yAxis()
          */
-        inline Vector3<T>& backward() { return (*this)[2].xyz(); }
-        inline constexpr Vector3<T> backward() const { return (*this)[2].xyz(); } /**< @overload */
+        Vector3<T>& backward() { return (*this)[2].xyz(); }
+        constexpr Vector3<T> backward() const { return (*this)[2].xyz(); } /**< @overload */
 
         /**
          * @brief 3D translation part of the matrix
@@ -363,8 +260,8 @@ template<class T> class Matrix4: public Matrix<4, T> {
          * @see from(const Matrix<3, T>&, const Vector3&),
          *      translation(const Vector3&), Matrix3::translation()
          */
-        inline Vector3<T>& translation() { return (*this)[3].xyz(); }
-        inline constexpr Vector3<T> translation() const { return (*this)[3].xyz(); } /**< @overload */
+        Vector3<T>& translation() { return (*this)[3].xyz(); }
+        constexpr Vector3<T> translation() const { return (*this)[3].xyz(); } /**< @overload */
 
         /**
          * @brief Inverted rigid transformation matrix
@@ -374,13 +271,7 @@ template<class T> class Matrix4: public Matrix<4, T> {
          * @see isRigidTransformation(), invertedOrthogonal(),
          *      rotationScaling() const, translation() const
          */
-        inline Matrix4<T> invertedRigid() const {
-            CORRADE_ASSERT(isRigidTransformation(),
-                "Math::Matrix4::invertedRigid(): the matrix doesn't represent rigid transformation", {});
-
-            Matrix<3, T> inverseRotation = rotationScaling().transposed();
-            return from(inverseRotation, inverseRotation*-translation());
-        }
+        Matrix4<T> invertedRigid() const;
 
         /**
          * @brief Transform 3D vector with the matrix
@@ -392,7 +283,7 @@ template<class T> class Matrix4: public Matrix<4, T> {
          * @see Quaternion::transformVector(), Matrix3::transformVector()
          * @todo extract 3x3 matrix and multiply directly? (benchmark that)
          */
-        inline Vector3<T> transformVector(const Vector3<T>& vector) const {
+        Vector3<T> transformVector(const Vector3<T>& vector) const {
             return ((*this)*Vector4<T>(vector, T(0))).xyz();
         }
 
@@ -405,7 +296,7 @@ template<class T> class Matrix4: public Matrix<4, T> {
          * @f]
          * @see DualQuaternion::transformPoint(), Matrix3::transformPoint()
          */
-        inline Vector3<T> transformPoint(const Vector3<T>& vector) const {
+        Vector3<T> transformPoint(const Vector3<T>& vector) const {
             return ((*this)*Vector4<T>(vector, T(1))).xyz();
         }
 
@@ -420,6 +311,142 @@ template<class T> inline Corrade::Utility::Debug operator<<(Corrade::Utility::De
     return debug << static_cast<const Matrix<4, T>&>(value);
 }
 
+template<class T> constexpr Matrix4<T> Matrix4<T>::translation(const Vector3<T>& vector) {
+    return {{      T(1),       T(0),       T(0), T(0)},
+            {      T(0),       T(1),       T(0), T(0)},
+            {      T(0),       T(0),       T(1), T(0)},
+            {vector.x(), vector.y(), vector.z(), T(1)}};
+}
+
+template<class T> constexpr Matrix4<T> Matrix4<T>::scaling(const Vector3<T>& vector) {
+    return {{vector.x(),       T(0),       T(0), T(0)},
+            {      T(0), vector.y(),       T(0), T(0)},
+            {      T(0),       T(0), vector.z(), T(0)},
+            {      T(0),       T(0),       T(0), T(1)}};
+}
+
+template<class T> Matrix4<T> Matrix4<T>::rotation(const Rad<T> angle, const Vector3<T>& normalizedAxis) {
+    CORRADE_ASSERT(normalizedAxis.isNormalized(),
+                   "Math::Matrix4::rotation(): axis must be normalized", {});
+
+    const T sine = std::sin(T(angle));
+    const T cosine = std::cos(T(angle));
+    const T oneMinusCosine = T(1) - cosine;
+
+    const T xx = normalizedAxis.x()*normalizedAxis.x();
+    const T xy = normalizedAxis.x()*normalizedAxis.y();
+    const T xz = normalizedAxis.x()*normalizedAxis.z();
+    const T yy = normalizedAxis.y()*normalizedAxis.y();
+    const T yz = normalizedAxis.y()*normalizedAxis.z();
+    const T zz = normalizedAxis.z()*normalizedAxis.z();
+
+    return {
+        {cosine + xx*oneMinusCosine,
+            xy*oneMinusCosine + normalizedAxis.z()*sine,
+                xz*oneMinusCosine - normalizedAxis.y()*sine,
+                   T(0)},
+        {xy*oneMinusCosine - normalizedAxis.z()*sine,
+            cosine + yy*oneMinusCosine,
+                yz*oneMinusCosine + normalizedAxis.x()*sine,
+                   T(0)},
+        {xz*oneMinusCosine + normalizedAxis.y()*sine,
+            yz*oneMinusCosine - normalizedAxis.x()*sine,
+                cosine + zz*oneMinusCosine,
+                   T(0)},
+        {T(0), T(0), T(0), T(1)}
+    };
+}
+
+template<class T> Matrix4<T> Matrix4<T>::rotationX(const Rad<T> angle) {
+    const T sine = std::sin(T(angle));
+    const T cosine = std::cos(T(angle));
+
+    return {{T(1),   T(0),   T(0), T(0)},
+            {T(0), cosine,   sine, T(0)},
+            {T(0),  -sine, cosine, T(0)},
+            {T(0),   T(0),   T(0), T(1)}};
+}
+
+template<class T> Matrix4<T> Matrix4<T>::rotationY(const Rad<T> angle) {
+    const T sine = std::sin(T(angle));
+    const T cosine = std::cos(T(angle));
+
+    return {{cosine, T(0),  -sine, T(0)},
+            {  T(0), T(1),   T(0), T(0)},
+            {  sine, T(0), cosine, T(0)},
+            {  T(0), T(0),   T(0), T(1)}};
+}
+
+template<class T> Matrix4<T> Matrix4<T>::rotationZ(const Rad<T> angle) {
+    const T sine = std::sin(T(angle));
+    const T cosine = std::cos(T(angle));
+
+    return {{cosine,   sine, T(0), T(0)},
+            { -sine, cosine, T(0), T(0)},
+            {  T(0),   T(0), T(1), T(0)},
+            {  T(0),   T(0), T(0), T(1)}};
+}
+
+template<class T> Matrix4<T> Matrix4<T>::reflection(const Vector3<T>& normal) {
+    CORRADE_ASSERT(normal.isNormalized(),
+                    "Math::Matrix4::reflection(): normal must be normalized", {});
+    return from(Matrix<3, T>() - T(2)*normal*RectangularMatrix<1, 3, T>(normal).transposed(), {});
+}
+
+template<class T> Matrix4<T> Matrix4<T>::orthographicProjection(const Vector2<T>& size, const T near, const T far) {
+    const Vector2<T> xyScale = T(2.0)/size;
+    const T zScale = T(2.0)/(near-far);
+
+    return {{xyScale.x(),        T(0),             T(0), T(0)},
+            {       T(0), xyScale.y(),             T(0), T(0)},
+            {       T(0),        T(0),           zScale, T(0)},
+            {       T(0),        T(0), near*zScale-T(1), T(1)}};
+}
+
+template<class T> Matrix4<T> Matrix4<T>::perspectiveProjection(const Vector2<T>& size, const T near, const T far) {
+    Vector2<T> xyScale = 2*near/size;
+    T zScale = T(1.0)/(near-far);
+
+    return {{xyScale.x(),        T(0),                 T(0),  T(0)},
+            {       T(0), xyScale.y(),                 T(0),  T(0)},
+            {       T(0),        T(0),    (far+near)*zScale, T(-1)},
+            {       T(0),        T(0), T(2)*far*near*zScale,  T(0)}};
+}
+
+template<class T> constexpr Matrix4<T> Matrix4<T>::from(const Matrix<3, T>& rotationScaling, const Vector3<T>& translation) {
+    return {{rotationScaling[0], T(0)},
+            {rotationScaling[1], T(0)},
+            {rotationScaling[2], T(0)},
+            {       translation, T(1)}};
+}
+
+template<class T> constexpr Matrix4<T>::Matrix4(typename Matrix<4, T>::IdentityType, const T value): Matrix<4, T>(
+    Vector<4, T>(value,  T(0),  T(0),  T(0)),
+    Vector<4, T>( T(0), value,  T(0),  T(0)),
+    Vector<4, T>( T(0),  T(0), value,  T(0)),
+    Vector<4, T>( T(0),  T(0),  T(0), value)
+) {}
+
+template<class T> constexpr Matrix<3, T> Matrix4<T>::rotationScaling() const {
+    return {(*this)[0].xyz(),
+            (*this)[1].xyz(),
+            (*this)[2].xyz()};
+}
+
+template<class T> inline Matrix<3, T> Matrix4<T>::rotation() const {
+    return {(*this)[0].xyz().normalized(),
+            (*this)[1].xyz().normalized(),
+            (*this)[2].xyz().normalized()};
+}
+
+template<class T> Matrix4<T> Matrix4<T>::invertedRigid() const {
+    CORRADE_ASSERT(isRigidTransformation(),
+        "Math::Matrix4::invertedRigid(): the matrix doesn't represent rigid transformation", {});
+
+    Matrix<3, T> inverseRotation = rotationScaling().transposed();
+    return from(inverseRotation, inverseRotation*-translation());
+}
+
 }}
 
 namespace Corrade { namespace Utility {

src/Math/Quaternion.h

@@ -38,44 +38,6 @@
 
 namespace Magnum { namespace Math {
 
-namespace Implementation {
-
-/* No assertions fired, for internal use. Not private member because used from
-   outside the class. */
-template<class T> inline Quaternion<T> quaternionFromMatrix(const Matrix<3, T>& m) {
-    const Vector<3, T> diagonal = m.diagonal();
-    const T trace = diagonal.sum();
-
-    /* Diagonal is positive */
-    if(trace > T(0)) {
-        const T s = std::sqrt(trace + T(1));
-        const T t = T(0.5)/s;
-        return {Vector3<T>(m[1][2] - m[2][1],
-                           m[2][0] - m[0][2],
-                           m[0][1] - m[1][0])*t, s*T(0.5)};
-    }
-
-    /* Diagonal is negative */
-    std::size_t i = 0;
-    if(diagonal[1] > diagonal[0]) i = 1;
-    if(diagonal[2] > diagonal[i]) i = 2;
-
-    const std::size_t j = (i + 1) % 3;
-    const std::size_t k = (i + 2) % 3;
-
-    const T s = std::sqrt(diagonal[i] - diagonal[j] - diagonal[k] + T(1));
-    const T t = (s == T(0) ? T(0) : T(0.5)/s);
-
-    Vector3<T> vec;
-    vec[i] = s*T(0.5);
-    vec[j] = (m[i][j] + m[j][i])*t;
-    vec[k] = (m[i][k] + m[k][i])*t;
-
-    return {vec, (m[j][k] - m[k][j])*t};
-}
-
-}
-
 /**
 @brief %Quaternion
 @tparam T   Underlying data type
@@ -95,7 +57,7 @@ template<class T> class Quaternion {
          * @f]
          * @see dot() const
          */
-        inline static T dot(const Quaternion<T>& a, const Quaternion<T>& b) {
+        static T dot(const Quaternion<T>& a, const Quaternion<T>& b) {
             /** @todo Use four-component SIMD implementation when available */
             return Vector3<T>::dot(a.vector(), b.vector()) + a.scalar()*b.scalar();
         }
@@ -108,11 +70,7 @@ template<class T> class Quaternion {
          * @f]
          * @see isNormalized(), Complex::angle(), Vector::angle()
          */
-        inline static Rad<T> angle(const Quaternion<T>& normalizedA, const Quaternion<T>& normalizedB) {
-            CORRADE_ASSERT(normalizedA.isNormalized() && normalizedB.isNormalized(),
-                           "Math::Quaternion::angle(): quaternions must be normalized", Rad<T>(std::numeric_limits<T>::quiet_NaN()));
-            return Rad<T>(angleInternal(normalizedA, normalizedB));
-        }
+        static Rad<T> angle(const Quaternion<T>& normalizedA, const Quaternion<T>& normalizedB);
 
         /**
          * @brief Linear interpolation of two quaternions
@@ -125,12 +83,7 @@ template<class T> class Quaternion {
          * @f]
          * @see isNormalized(), slerp(), Math::lerp()
          */
-        inline static Quaternion<T> lerp(const Quaternion<T>& normalizedA, const Quaternion<T>& normalizedB, T t) {
-            CORRADE_ASSERT(normalizedA.isNormalized() && normalizedB.isNormalized(),
-                           "Math::Quaternion::lerp(): quaternions must be normalized",
-                           Quaternion<T>({}, std::numeric_limits<T>::quiet_NaN()));
-            return ((T(1) - t)*normalizedA + t*normalizedB).normalized();
-        }
+        static Quaternion<T> lerp(const Quaternion<T>& normalizedA, const Quaternion<T>& normalizedB, T t);
 
         /**
          * @brief Spherical linear interpolation of two quaternions
@@ -145,13 +98,7 @@ template<class T> class Quaternion {
          * @f]
          * @see isNormalized(), lerp()
          */
-        inline static Quaternion<T> slerp(const Quaternion<T>& normalizedA, const Quaternion<T>& normalizedB, T t) {
-            CORRADE_ASSERT(normalizedA.isNormalized() && normalizedB.isNormalized(),
-                           "Math::Quaternion::slerp(): quaternions must be normalized",
-                           Quaternion<T>({}, std::numeric_limits<T>::quiet_NaN()));
-            T a = angleInternal(normalizedA, normalizedB);
-            return (std::sin((T(1) - t)*a)*normalizedA + std::sin(t*a)*normalizedB)/std::sin(a);
-        }
+        static Quaternion<T> slerp(const Quaternion<T>& normalizedA, const Quaternion<T>& normalizedB, T t);
 
         /**
          * @brief Rotation quaternion
@@ -165,12 +112,7 @@ template<class T> class Quaternion {
          *      Matrix4::rotation(), Complex::rotation(), Vector3::xAxis(),
          *      Vector3::yAxis(), Vector3::zAxis(), Vector::isNormalized()
          */
-        inline static Quaternion<T> rotation(Rad<T> angle, const Vector3<T>& normalizedAxis) {
-            CORRADE_ASSERT(normalizedAxis.isNormalized(),
-                           "Math::Quaternion::rotation(): axis must be normalized", {});
-
-            return {normalizedAxis*std::sin(T(angle)/2), std::cos(T(angle)/2)};
-        }
+        static Quaternion<T> rotation(Rad<T> angle, const Vector3<T>& normalizedAxis);
 
         /**
          * @brief Create quaternion from rotation matrix
@@ -178,11 +120,7 @@ template<class T> class Quaternion {
          * Expects that the matrix is orthogonal (i.e. pure rotation).
          * @see toMatrix(), DualComplex::fromMatrix(), Matrix::isOrthogonal()
          */
-        inline static Quaternion<T> fromMatrix(const Matrix<3, T>& matrix) {
-            CORRADE_ASSERT(matrix.isOrthogonal(),
-                "Math::Quaternion::fromMatrix(): the matrix is not orthogonal", {});
-            return Implementation::quaternionFromMatrix(matrix);
-        }
+        static Quaternion<T> fromMatrix(const Matrix<3, T>& matrix);
 
         /**
          * @brief Default constructor
@@ -191,7 +129,7 @@ template<class T> class Quaternion {
          *      q = [\boldsymbol 0, 1]
          * @f]
          */
-        inline constexpr /*implicit*/ Quaternion(): _scalar(T(1)) {}
+        constexpr /*implicit*/ Quaternion(): _scalar(T(1)) {}
 
         /**
          * @brief Construct quaternion from vector and scalar
@@ -200,7 +138,7 @@ template<class T> class Quaternion {
          *      q = [\boldsymbol v, s]
          * @f]
          */
-        inline constexpr /*implicit*/ Quaternion(const Vector3<T>& vector, T scalar): _vector(vector), _scalar(scalar) {}
+        constexpr /*implicit*/ Quaternion(const Vector3<T>& vector, T scalar): _vector(vector), _scalar(scalar) {}
 
         /**
          * @brief Construct quaternion from vector
@@ -210,15 +148,15 @@ template<class T> class Quaternion {
          * @f]
          * @see transformVector(), transformVectorNormalized()
          */
-        inline constexpr explicit Quaternion(const Vector3<T>& vector): _vector(vector), _scalar(T(0)) {}
+        constexpr explicit Quaternion(const Vector3<T>& vector): _vector(vector), _scalar(T(0)) {}
 
         /** @brief Equality comparison */
-        inline bool operator==(const Quaternion<T>& other) const {
+        bool operator==(const Quaternion<T>& other) const {
             return _vector == other._vector && TypeTraits<T>::equals(_scalar, other._scalar);
         }
 
         /** @brief Non-equality comparison */
-        inline bool operator!=(const Quaternion<T>& other) const {
+        bool operator!=(const Quaternion<T>& other) const {
             return !operator==(other);
         }
 
@@ -230,15 +168,15 @@ template<class T> class Quaternion {
          * @f]
          * @see dot(), normalized()
          */
-        inline bool isNormalized() const {
+        bool isNormalized() const {
             return Implementation::isNormalizedSquared(dot());
         }
 
         /** @brief %Vector part */
-        inline constexpr Vector3<T> vector() const { return _vector; }
+        constexpr Vector3<T> vector() const { return _vector; }
 
         /** @brief %Scalar part */
-        inline constexpr T scalar() const { return _scalar; }
+        constexpr T scalar() const { return _scalar; }
 
         /**
          * @brief Rotation angle of unit quaternion
@@ -248,12 +186,7 @@ template<class T> class Quaternion {
          * @f]
          * @see isNormalized(), axis(), rotation()
          */
-        inline Rad<T> angle() const {
-            CORRADE_ASSERT(isNormalized(),
-                           "Math::Quaternion::angle(): quaternion must be normalized",
-                           Rad<T>(std::numeric_limits<T>::quiet_NaN()));
-            return Rad<T>(T(2)*std::acos(_scalar));
-        }
+        Rad<T> angle() const;
 
         /**
          * @brief Rotation axis of unit quaternion
@@ -265,12 +198,7 @@ template<class T> class Quaternion {
          * @f]
          * @see isNormalized(), angle(), rotation()
          */
-        inline Vector3<T> axis() const {
-            CORRADE_ASSERT(isNormalized(),
-                           "Math::Quaternion::axis(): quaternion must be normalized",
-                           {});
-            return _vector/std::sqrt(1-pow2(_scalar));
-        }
+        Vector3<T> axis() const;
 
         /**
          * @brief Convert quaternion to rotation matrix
@@ -278,19 +206,7 @@ template<class T> class Quaternion {
          * @see fromMatrix(), DualQuaternion::toMatrix(),
          *      Matrix4::from(const Matrix<3, T>&, const Vector3<T>&)
          */
-        Matrix<3, T> toMatrix() const {
-            return {
-                Vector<3, T>(T(1) - 2*pow2(_vector.y()) - 2*pow2(_vector.z()),
-                    2*_vector.x()*_vector.y() + 2*_vector.z()*_scalar,
-                        2*_vector.x()*_vector.z() - 2*_vector.y()*_scalar),
-                Vector<3, T>(2*_vector.x()*_vector.y() - 2*_vector.z()*_scalar,
-                    T(1) - 2*pow2(_vector.x()) - 2*pow2(_vector.z()),
-                        2*_vector.y()*_vector.z() + 2*_vector.x()*_scalar),
-                Vector<3, T>(2*_vector.x()*_vector.z() + 2*_vector.y()*_scalar,
-                    2*_vector.y()*_vector.z() - 2*_vector.x()*_scalar,
-                        T(1) - 2*pow2(_vector.x()) - 2*pow2(_vector.y()))
-            };
-        }
+        Matrix<3, T> toMatrix() const;
 
         /**
          * @brief Add and assign quaternion
@@ -299,7 +215,7 @@ template<class T> class Quaternion {
          *      p + q = [\boldsymbol p_V + \boldsymbol q_V, p_S + q_S]
          * @f]
          */
-        inline Quaternion<T>& operator+=(const Quaternion<T>& other) {
+        Quaternion<T>& operator+=(const Quaternion<T>& other) {
             _vector += other._vector;
             _scalar += other._scalar;
             return *this;
@@ -310,7 +226,7 @@ template<class T> class Quaternion {
          *
          * @see operator+=()
          */
-        inline Quaternion<T> operator+(const Quaternion<T>& other) const {
+        Quaternion<T> operator+(const Quaternion<T>& other) const {
             return Quaternion<T>(*this) += other;
         }
 
@@ -321,9 +237,7 @@ template<class T> class Quaternion {
          *      -q = [-\boldsymbol q_V, -q_S]
          * @f]
          */
-        inline Quaternion<T> operator-() const {
-            return {-_vector, -_scalar};
-        }
+        Quaternion<T> operator-() const { return {-_vector, -_scalar}; }
 
         /**
          * @brief Subtract and assign quaternion
@@ -332,7 +246,7 @@ template<class T> class Quaternion {
          *      p - q = [\boldsymbol p_V - \boldsymbol q_V, p_S - q_S]
          * @f]
          */
-        inline Quaternion<T>& operator-=(const Quaternion<T>& other) {
+        Quaternion<T>& operator-=(const Quaternion<T>& other) {
             _vector -= other._vector;
             _scalar -= other._scalar;
             return *this;
@@ -343,7 +257,7 @@ template<class T> class Quaternion {
          *
          * @see operator-=()
          */
-        inline Quaternion<T> operator-(const Quaternion<T>& other) const {
+        Quaternion<T> operator-(const Quaternion<T>& other) const {
             return Quaternion<T>(*this) -= other;
         }
 
@@ -354,7 +268,7 @@ template<class T> class Quaternion {
          *      q \cdot a = [\boldsymbol q_V \cdot a, q_S \cdot a]
          * @f]
          */
-        inline Quaternion<T>& operator*=(T scalar) {
+        Quaternion<T>& operator*=(T scalar) {
             _vector *= scalar;
             _scalar *= scalar;
             return *this;
@@ -365,7 +279,7 @@ template<class T> class Quaternion {
          *
          * @see operator*=(T)
          */
-        inline Quaternion<T> operator*(T scalar) const {
+        Quaternion<T> operator*(T scalar) const {
             return Quaternion<T>(*this) *= scalar;
         }
 
@@ -376,7 +290,7 @@ template<class T> class Quaternion {
          *      \frac q a = [\frac {\boldsymbol q_V} a, \frac {q_S} a]
          * @f]
          */
-        inline Quaternion<T>& operator/=(T scalar) {
+        Quaternion<T>& operator/=(T scalar) {
             _vector /= scalar;
             _scalar /= scalar;
             return *this;
@@ -387,7 +301,7 @@ template<class T> class Quaternion {
          *
          * @see operator/=(T)
          */
-        inline Quaternion<T> operator/(T scalar) const {
+        Quaternion<T> operator/(T scalar) const {
             return Quaternion<T>(*this) /= scalar;
         }
 
@@ -399,10 +313,7 @@ template<class T> class Quaternion {
          *             p_S q_S - \boldsymbol p_V \cdot \boldsymbol q_V]
          * @f]
          */
-        inline Quaternion<T> operator*(const Quaternion<T>& other) const {
-            return {_scalar*other._vector + other._scalar*_vector + Vector3<T>::cross(_vector, other._vector),
-                    _scalar*other._scalar - Vector3<T>::dot(_vector, other._vector)};
-        }
+        Quaternion<T> operator*(const Quaternion<T>& other) const;
 
         /**
          * @brief Dot product of the quaternion
@@ -413,9 +324,7 @@ template<class T> class Quaternion {
          * @f]
          * @see isNormalized(), dot(const Quaternion&, const Quaternion&)
          */
-        inline T dot() const {
-            return dot(*this, *this);
-        }
+        T dot() const { return dot(*this, *this); }
 
         /**
          * @brief %Quaternion length
@@ -426,18 +335,14 @@ template<class T> class Quaternion {
          * @f]
          * @see isNormalized()
          */
-        inline T length() const {
-            return std::sqrt(dot());
-        }
+        T length() const { return std::sqrt(dot()); }
 
         /**
          * @brief Normalized quaternion (of unit length)
          *
          * @see isNormalized()
          */
-        inline Quaternion<T> normalized() const {
-            return (*this)/length();
-        }
+        Quaternion<T> normalized() const { return (*this)/length(); }
 
         /**
          * @brief Conjugated quaternion
@@ -446,9 +351,7 @@ template<class T> class Quaternion {
          *      q^* = [-\boldsymbol q_V, q_S]
          * @f]
          */
-        inline Quaternion<T> conjugated() const {
-            return {-_vector, _scalar};
-        }
+        Quaternion<T> conjugated() const { return {-_vector, _scalar}; }
 
         /**
          * @brief Inverted quaternion
@@ -458,9 +361,7 @@ template<class T> class Quaternion {
          *      q^{-1} = \frac{q^*}{|q|^2} = \frac{q^*}{q \cdot q}
          * @f]
          */
-        inline Quaternion<T> inverted() const {
-            return conjugated()/dot();
-        }
+        Quaternion<T> inverted() const { return conjugated()/dot(); }
 
         /**
          * @brief Inverted normalized quaternion
@@ -471,12 +372,7 @@ template<class T> class Quaternion {
          * @f]
          * @see isNormalized(), inverted()
          */
-        inline Quaternion<T> invertedNormalized() const {
-            CORRADE_ASSERT(isNormalized(),
-                           "Math::Quaternion::invertedNormalized(): quaternion must be normalized",
-                           Quaternion<T>({}, std::numeric_limits<T>::quiet_NaN()));
-            return conjugated();
-        }
+        Quaternion<T> invertedNormalized() const;
 
         /**
          * @brief Rotate vector with quaternion
@@ -488,7 +384,7 @@ template<class T> class Quaternion {
          * @see Quaternion(const Vector3&), vector(), Matrix4::transformVector(),
          *      DualQuaternion::transformPoint(), Complex::transformVector()
          */
-        inline Vector3<T> transformVector(const Vector3<T>& vector) const {
+        Vector3<T> transformVector(const Vector3<T>& vector) const {
             return ((*this)*Quaternion<T>(vector)*inverted()).vector();
         }
 
@@ -502,21 +398,16 @@ template<class T> class Quaternion {
          * @see isNormalized(), Quaternion(const Vector3&), vector(), Matrix4::transformVector(),
          *      DualQuaternion::transformPointNormalized(), Complex::transformVector()
          */
-        inline Vector3<T> transformVectorNormalized(const Vector3<T>& vector) const {
-            CORRADE_ASSERT(isNormalized(),
-                           "Math::Quaternion::transformVectorNormalized(): quaternion must be normalized",
-                           Vector3<T>(std::numeric_limits<T>::quiet_NaN()));
-            return ((*this)*Quaternion<T>(vector)*conjugated()).vector();
-        }
+        Vector3<T> transformVectorNormalized(const Vector3<T>& vector) const;
 
     private:
         /* Used to avoid including Functions.h */
-        inline constexpr static T pow2(T value) {
+        constexpr static T pow2(T value) {
             return value*value;
         }
 
         /* Used in angle() and slerp() (no assertions) */
-        inline static T angleInternal(const Quaternion<T>& normalizedA, const Quaternion<T>& normalizedB) {
+        static T angleInternal(const Quaternion<T>& normalizedA, const Quaternion<T>& normalizedB) {
             return std::acos(dot(normalizedA, normalizedB));
         }
 
@@ -562,6 +453,116 @@ extern template Corrade::Utility::Debug MAGNUM_EXPORT operator<<(Corrade::Utilit
 #endif
 #endif
 
+namespace Implementation {
+
+/* No assertions fired, for internal use. Not private member because used from
+   outside the class. */
+template<class T> Quaternion<T> quaternionFromMatrix(const Matrix<3, T>& m) {
+    const Vector<3, T> diagonal = m.diagonal();
+    const T trace = diagonal.sum();
+
+    /* Diagonal is positive */
+    if(trace > T(0)) {
+        const T s = std::sqrt(trace + T(1));
+        const T t = T(0.5)/s;
+        return {Vector3<T>(m[1][2] - m[2][1],
+                           m[2][0] - m[0][2],
+                           m[0][1] - m[1][0])*t, s*T(0.5)};
+    }
+
+    /* Diagonal is negative */
+    std::size_t i = 0;
+    if(diagonal[1] > diagonal[0]) i = 1;
+    if(diagonal[2] > diagonal[i]) i = 2;
+
+    const std::size_t j = (i + 1) % 3;
+    const std::size_t k = (i + 2) % 3;
+
+    const T s = std::sqrt(diagonal[i] - diagonal[j] - diagonal[k] + T(1));
+    const T t = (s == T(0) ? T(0) : T(0.5)/s);
+
+    Vector3<T> vec;
+    vec[i] = s*T(0.5);
+    vec[j] = (m[i][j] + m[j][i])*t;
+    vec[k] = (m[i][k] + m[k][i])*t;
+
+    return {vec, (m[j][k] - m[k][j])*t};
+}
+
+}
+
+template<class T> inline Rad<T> Quaternion<T>::angle(const Quaternion<T>& normalizedA, const Quaternion<T>& normalizedB) {
+    CORRADE_ASSERT(normalizedA.isNormalized() && normalizedB.isNormalized(),
+        "Math::Quaternion::angle(): quaternions must be normalized", Rad<T>(std::numeric_limits<T>::quiet_NaN()));
+    return Rad<T>(angleInternal(normalizedA, normalizedB));
+}
+
+template<class T> inline Quaternion<T> Quaternion<T>::lerp(const Quaternion<T>& normalizedA, const Quaternion<T>& normalizedB, const T t) {
+    CORRADE_ASSERT(normalizedA.isNormalized() && normalizedB.isNormalized(),
+        "Math::Quaternion::lerp(): quaternions must be normalized", Quaternion<T>({}, std::numeric_limits<T>::quiet_NaN()));
+    return ((T(1) - t)*normalizedA + t*normalizedB).normalized();
+}
+
+template<class T> inline Quaternion<T> Quaternion<T>::slerp(const Quaternion<T>& normalizedA, const Quaternion<T>& normalizedB, const T t) {
+    CORRADE_ASSERT(normalizedA.isNormalized() && normalizedB.isNormalized(),
+        "Math::Quaternion::slerp(): quaternions must be normalized", Quaternion<T>({}, std::numeric_limits<T>::quiet_NaN()));
+    const T a = angleInternal(normalizedA, normalizedB);
+    return (std::sin((T(1) - t)*a)*normalizedA + std::sin(t*a)*normalizedB)/std::sin(a);
+}
+
+template<class T> inline Quaternion<T> Quaternion<T>::rotation(const Rad<T> angle, const Vector3<T>& normalizedAxis) {
+    CORRADE_ASSERT(normalizedAxis.isNormalized(),
+        "Math::Quaternion::rotation(): axis must be normalized", {});
+    return {normalizedAxis*std::sin(T(angle)/2), std::cos(T(angle)/2)};
+}
+
+template<class T> inline Quaternion<T> Quaternion<T>::fromMatrix(const Matrix<3, T>& matrix) {
+    CORRADE_ASSERT(matrix.isOrthogonal(), "Math::Quaternion::fromMatrix(): the matrix is not orthogonal", {});
+    return Implementation::quaternionFromMatrix(matrix);
+}
+
+template<class T> inline Rad<T> Quaternion<T>::angle() const {
+    CORRADE_ASSERT(isNormalized(), "Math::Quaternion::angle(): quaternion must be normalized",
+        Rad<T>(std::numeric_limits<T>::quiet_NaN()));
+    return Rad<T>(T(2)*std::acos(_scalar));
+}
+
+template<class T> inline Vector3<T> Quaternion<T>::axis() const {
+    CORRADE_ASSERT(isNormalized(), "Math::Quaternion::axis(): quaternion must be normalized", {});
+    return _vector/std::sqrt(1-pow2(_scalar));
+}
+
+template<class T> Matrix<3, T> Quaternion<T>::toMatrix() const {
+    return {
+        Vector<3, T>(T(1) - 2*pow2(_vector.y()) - 2*pow2(_vector.z()),
+            2*_vector.x()*_vector.y() + 2*_vector.z()*_scalar,
+                2*_vector.x()*_vector.z() - 2*_vector.y()*_scalar),
+        Vector<3, T>(2*_vector.x()*_vector.y() - 2*_vector.z()*_scalar,
+            T(1) - 2*pow2(_vector.x()) - 2*pow2(_vector.z()),
+                2*_vector.y()*_vector.z() + 2*_vector.x()*_scalar),
+        Vector<3, T>(2*_vector.x()*_vector.z() + 2*_vector.y()*_scalar,
+            2*_vector.y()*_vector.z() - 2*_vector.x()*_scalar,
+                T(1) - 2*pow2(_vector.x()) - 2*pow2(_vector.y()))
+    };
+}
+
+template<class T> inline Quaternion<T> Quaternion<T>::operator*(const Quaternion<T>& other) const {
+    return {_scalar*other._vector + other._scalar*_vector + Vector3<T>::cross(_vector, other._vector),
+            _scalar*other._scalar - Vector3<T>::dot(_vector, other._vector)};
+}
+
+template<class T> inline Quaternion<T> Quaternion<T>::invertedNormalized() const {
+    CORRADE_ASSERT(isNormalized(), "Math::Quaternion::invertedNormalized(): quaternion must be normalized",
+        Quaternion<T>({}, std::numeric_limits<T>::quiet_NaN()));
+    return conjugated();
+}
+
+template<class T> inline Vector3<T> Quaternion<T>::transformVectorNormalized(const Vector3< T >& vector) const {
+    CORRADE_ASSERT(isNormalized(), "Math::Quaternion::transformVectorNormalized(): quaternion must be normalized",
+        Vector3<T>(std::numeric_limits<T>::quiet_NaN()));
+    return ((*this)*Quaternion<T>(vector)*conjugated()).vector();
+}
+
 }}
 
 #endif

src/Math/RectangularMatrix.h

@@ -77,11 +77,11 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
          * @attention Use with caution, the function doesn't check whether the
          *      array is long enough.
          */
-        inline constexpr static RectangularMatrix<cols, rows, T>& from(T* data) {
+        constexpr static RectangularMatrix<cols, rows, T>& from(T* data) {
             return *reinterpret_cast<RectangularMatrix<cols, rows, T>*>(data);
         }
         /** @overload */
-        inline constexpr static const RectangularMatrix<cols, rows, T>& from(const T* data) {
+        constexpr static const RectangularMatrix<cols, rows, T>& from(const T* data) {
             return *reinterpret_cast<const RectangularMatrix<cols, rows, T>*>(data);
         }
 
@@ -91,14 +91,7 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
          * @see diagonal()
          * @todo make this constexpr
          */
-        inline static RectangularMatrix<cols, rows, T> fromDiagonal(const Vector<DiagonalSize, T>& diagonal) {
-            RectangularMatrix<cols, rows, T> out;
-
-            for(std::size_t i = 0; i != DiagonalSize; ++i)
-                out[i][i] = diagonal[i];
-
-            return out;
-        }
+        static RectangularMatrix<cols, rows, T> fromDiagonal(const Vector<DiagonalSize, T>& diagonal);
 
         /**
          * @brief Construct matrix from vector
@@ -107,12 +100,12 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
          * vector will make first column of resulting matrix.
          * @see toVector()
          */
-        inline static RectangularMatrix<cols, rows, T> fromVector(const Vector<cols*rows, T>& vector) {
+        static RectangularMatrix<cols, rows, T> fromVector(const Vector<cols*rows, T>& vector) {
             return *reinterpret_cast<const RectangularMatrix<cols, rows, T>*>(vector.data());
         }
 
         /** @brief Construct zero-filled matrix */
-        inline constexpr /*implicit*/ RectangularMatrix() {}
+        constexpr /*implicit*/ RectangularMatrix() {}
 
         /**
          * @brief Construct matrix from column vectors
@@ -121,7 +114,7 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
          *
          * @todo Creating matrix from arbitrary combination of matrices with n rows
          */
-        template<class ...U> inline constexpr /*implicit*/ RectangularMatrix(const Vector<rows, T>& first, const U&... next): _data{first, next...} {
+        template<class ...U> constexpr /*implicit*/ RectangularMatrix(const Vector<rows, T>& first, const U&... next): _data{first, next...} {
             static_assert(sizeof...(next)+1 == cols, "Improper number of arguments passed to RectangularMatrix constructor");
         }
 
@@ -137,30 +130,30 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
          * @endcode
          */
         #ifndef CORRADE_GCC46_COMPATIBILITY
-        template<class U> inline constexpr explicit RectangularMatrix(const RectangularMatrix<cols, rows, U>& other): RectangularMatrix(typename Implementation::GenerateSequence<cols>::Type(), other) {}
+        template<class U> constexpr explicit RectangularMatrix(const RectangularMatrix<cols, rows, U>& other): RectangularMatrix(typename Implementation::GenerateSequence<cols>::Type(), other) {}
         #else
-        template<class U> inline explicit RectangularMatrix(const RectangularMatrix<cols, rows, U>& other) {
+        template<class U> explicit RectangularMatrix(const RectangularMatrix<cols, rows, U>& other) {
             *this = RectangularMatrix(typename Implementation::GenerateSequence<cols>::Type(), other);
         }
         #endif
 
         /** @brief Construct matrix from external representation */
         #ifndef CORRADE_GCC46_COMPATIBILITY
-        template<class U, class V = decltype(Implementation::RectangularMatrixConverter<cols, rows, T, U>::from(std::declval<U>()))> inline constexpr explicit RectangularMatrix(const U& other): RectangularMatrix(Implementation::RectangularMatrixConverter<cols, rows, T, U>::from(other)) {}
+        template<class U, class V = decltype(Implementation::RectangularMatrixConverter<cols, rows, T, U>::from(std::declval<U>()))> constexpr explicit RectangularMatrix(const U& other): RectangularMatrix(Implementation::RectangularMatrixConverter<cols, rows, T, U>::from(other)) {}
         #else
-        template<class U, class V = decltype(Implementation::RectangularMatrixConverter<cols, rows, T, U>::from(std::declval<U>()))> inline explicit RectangularMatrix(const U& other) {
+        template<class U, class V = decltype(Implementation::RectangularMatrixConverter<cols, rows, T, U>::from(std::declval<U>()))> explicit RectangularMatrix(const U& other) {
             *this = Implementation::RectangularMatrixConverter<cols, rows, T, U>::from(other);
         }
         #endif
 
         /** @brief Copy constructor */
-        inline constexpr RectangularMatrix(const RectangularMatrix<cols, rows, T>&) = default;
+        constexpr RectangularMatrix(const RectangularMatrix<cols, rows, T>&) = default;
 
         /** @brief Assignment operator */
-        inline RectangularMatrix<cols, rows, T>& operator=(const RectangularMatrix<cols, rows, T>&) = default;
+        RectangularMatrix<cols, rows, T>& operator=(const RectangularMatrix<cols, rows, T>&) = default;
 
         /** @brief Convert matrix to external representation */
-        template<class U, class V = decltype(Implementation::RectangularMatrixConverter<cols, rows, T, U>::to(std::declval<RectangularMatrix<cols, rows, T>>()))> inline constexpr explicit operator U() const {
+        template<class U, class V = decltype(Implementation::RectangularMatrixConverter<cols, rows, T, U>::to(std::declval<RectangularMatrix<cols, rows, T>>()))> constexpr explicit operator U() const {
             /** @bug Why this is not constexpr under GCC 4.6? */
             return Implementation::RectangularMatrixConverter<cols, rows, T, U>::to(*this);
         }
@@ -172,8 +165,8 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
          *
          * @see operator[]
          */
-        inline T* data() { return _data[0].data(); }
-        inline constexpr const T* data() const { return _data[0].data(); } /**< @overload */
+        T* data() { return _data[0].data(); }
+        constexpr const T* data() const { return _data[0].data(); } /**< @overload */
 
         /**
          * @brief %Matrix column
@@ -186,13 +179,8 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
          *
          * @see row(), data()
          */
-        inline Vector<rows, T>& operator[](std::size_t col) {
-            return _data[col];
-        }
-        /** @overload */
-        inline constexpr const Vector<rows, T>& operator[](std::size_t col) const {
-            return _data[col];
-        }
+        Vector<rows, T>& operator[](std::size_t col) { return _data[col]; }
+        constexpr const Vector<rows, T>& operator[](std::size_t col) const { return _data[col]; } /** @overload */
 
         /**
          * @brief %Matrix row
@@ -201,17 +189,10 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
          * is slower than accessing columns due to the way the matrix is stored.
          * @see operator[]()
          */
-        inline Vector<cols, T> row(std::size_t row) const {
-            Vector<cols, T> out;
-
-            for(std::size_t i = 0; i != cols; ++i)
-                out[i] = _data[i][row];
-
-            return out;
-        }
+        Vector<cols, T> row(std::size_t row) const;
 
         /** @brief Equality comparison */
-        inline bool operator==(const RectangularMatrix<cols, rows, T>& other) const {
+        bool operator==(const RectangularMatrix<cols, rows, T>& other) const {
             for(std::size_t i = 0; i != cols; ++i)
                 if(_data[i] != other._data[i]) return false;
 
@@ -224,10 +205,19 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
          * @see Vector::operator<(), Vector::operator<=(), Vector::operator>=(),
          *      Vector::operator>()
          */
-        inline bool operator!=(const RectangularMatrix<cols, rows, T>& other) const {
+        bool operator!=(const RectangularMatrix<cols, rows, T>& other) const {
             return !operator==(other);
         }
 
+        /**
+         * @brief Negated matrix
+         *
+         * The computation is done column-wise. @f[
+         *      \boldsymbol B_j = -\boldsymbol A_j
+         * @f]
+         */
+        RectangularMatrix<cols, rows, T> operator-() const;
+
         /**
          * @brief Add and assign matrix
          *
@@ -247,26 +237,10 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
          *
          * @see operator+=()
          */
-        inline RectangularMatrix<cols, rows, T> operator+(const RectangularMatrix<cols, rows, T>& other) const {
+        RectangularMatrix<cols, rows, T> operator+(const RectangularMatrix<cols, rows, T>& other) const {
             return RectangularMatrix<cols, rows, T>(*this)+=other;
         }
 
-        /**
-         * @brief Negated matrix
-         *
-         * The computation is done column-wise in-place. @f[
-         *      \boldsymbol A_j = -\boldsymbol A_j
-         * @f]
-         */
-        RectangularMatrix<cols, rows, T> operator-() const {
-            RectangularMatrix<cols, rows, T> out;
-
-            for(std::size_t i = 0; i != cols; ++i)
-                out._data[i] = -_data[i];
-
-            return out;
-        }
-
         /**
          * @brief Subtract and assign matrix
          *
@@ -286,7 +260,7 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
          *
          * @see operator-=()
          */
-        inline RectangularMatrix<cols, rows, T> operator-(const RectangularMatrix<cols, rows, T>& other) const {
+        RectangularMatrix<cols, rows, T> operator-(const RectangularMatrix<cols, rows, T>& other) const {
             return RectangularMatrix<cols, rows, T>(*this)-=other;
         }
 
@@ -316,7 +290,7 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
         #ifndef DOXYGEN_GENERATING_OUTPUT
         template<class U> inline typename std::enable_if<std::is_arithmetic<U>::value, RectangularMatrix<cols, rows, T>>::type operator*(U number) const {
         #else
-        template<class U> inline RectangularMatrix<cols, rows, T> operator*(U number) const {
+        template<class U> RectangularMatrix<cols, rows, T> operator*(U number) const {
         #endif
             return RectangularMatrix<cols, rows, T>(*this)*=number;
         }
@@ -347,7 +321,7 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
         #ifndef DOXYGEN_GENERATING_OUTPUT
         template<class U> inline typename std::enable_if<std::is_arithmetic<U>::value, RectangularMatrix<cols, rows, T>>::type operator/(U number) const {
         #else
-        template<class U> inline RectangularMatrix<cols, rows, T> operator/(U number) const {
+        template<class U> RectangularMatrix<cols, rows, T> operator/(U number) const {
         #endif
             return RectangularMatrix<cols, rows, T>(*this)/=number;
         }
@@ -359,16 +333,7 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
          *      (\boldsymbol {AB})_{ji} = \sum_{k=0}^{m-1} \boldsymbol A_{ki} \boldsymbol B_{jk}
          * @f]
          */
-        template<std::size_t size> RectangularMatrix<size, rows, T> operator*(const RectangularMatrix<size, cols, T>& other) const {
-            RectangularMatrix<size, rows, T> out;
-
-            for(std::size_t col = 0; col != size; ++col)
-                for(std::size_t row = 0; row != rows; ++row)
-                    for(std::size_t pos = 0; pos != cols; ++pos)
-                        out[col][row] += _data[pos][row]*other._data[col][pos];
-
-            return out;
-        }
+        template<std::size_t size> RectangularMatrix<size, rows, T> operator*(const RectangularMatrix<size, cols, T>& other) const;
 
         /**
          * @brief Multiply vector
@@ -387,29 +352,15 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
          *
          * @see row()
          */
-        RectangularMatrix<rows, cols, T> transposed() const {
-            RectangularMatrix<rows, cols, T> out;
-
-            for(std::size_t col = 0; col != cols; ++col)
-                for(std::size_t row = 0; row != rows; ++row)
-                    out[row][col] = _data[col][row];
-
-            return out;
-        }
+        RectangularMatrix<rows, cols, T> transposed() const;
 
         /**
          * @brief Values on diagonal
          *
          * @see fromDiagonal()
+         * @todo constexpr
          */
-        Vector<DiagonalSize, T> diagonal() const {
-            Vector<DiagonalSize, T> out;
-
-            for(std::size_t i = 0; i != DiagonalSize; ++i)
-                out[i] = _data[i][i];
-
-            return out;
-        }
+        Vector<DiagonalSize, T> diagonal() const;
 
         /**
          * @brief Convert matrix to vector
@@ -420,13 +371,13 @@ template<std::size_t cols, std::size_t rows, class T> class RectangularMatrix {
          * summing the elements etc.).
          * @see fromVector()
          */
-        inline Vector<rows*cols, T> toVector() const {
+        Vector<rows*cols, T> toVector() const {
             return *reinterpret_cast<const Vector<rows*cols, T>*>(data());
         }
 
     private:
         /* Implementation for RectangularMatrix<cols, rows, T>::RectangularMatrix(const RectangularMatrix<cols, rows, U>&) */
-        template<class U, std::size_t ...sequence> inline constexpr explicit RectangularMatrix(Implementation::Sequence<sequence...>, const RectangularMatrix<cols, rows, U>& matrix): _data{Vector<rows, T>(matrix[sequence])...} {}
+        template<class U, std::size_t ...sequence> constexpr explicit RectangularMatrix(Implementation::Sequence<sequence...>, const RectangularMatrix<cols, rows, U>& matrix): _data{Vector<rows, T>(matrix[sequence])...} {}
 
         Vector<rows, T> _data[cols];
 };
@@ -453,9 +404,9 @@ The computation is done column-wise. @f[
 @see RectangularMatrix::operator/(U) const
 */
 #ifdef DOXYGEN_GENERATING_OUTPUT
-template<std::size_t cols, std::size_t rows, class T, class U> RectangularMatrix<cols, rows, T> operator/(U number, const RectangularMatrix<cols, rows, T>& matrix) {
+template<std::size_t cols, std::size_t rows, class T, class U> inline RectangularMatrix<cols, rows, T> operator/(U number, const RectangularMatrix<cols, rows, T>& matrix) {
 #else
-template<std::size_t cols, std::size_t rows, class T, class U> typename std::enable_if<std::is_arithmetic<U>::value, RectangularMatrix<cols, rows, T>>::type operator/(U number, const RectangularMatrix<cols, rows, T>& matrix) {
+template<std::size_t cols, std::size_t rows, class T, class U> inline typename std::enable_if<std::is_arithmetic<U>::value, RectangularMatrix<cols, rows, T>>::type operator/(U number, const RectangularMatrix<cols, rows, T>& matrix) {
 #endif
     RectangularMatrix<cols, rows, T> out;
 
@@ -522,51 +473,108 @@ extern template Corrade::Utility::Debug MAGNUM_EXPORT operator<<(Corrade::Utilit
 #endif
 
 #define MAGNUM_RECTANGULARMATRIX_SUBCLASS_IMPLEMENTATION(cols, rows, ...)   \
-    inline constexpr static __VA_ARGS__& from(T* data) {                    \
+    constexpr static __VA_ARGS__& from(T* data) {                           \
         return *reinterpret_cast<__VA_ARGS__*>(data);                       \
     }                                                                       \
-    inline constexpr static const __VA_ARGS__& from(const T* data) {        \
+    constexpr static const __VA_ARGS__& from(const T* data) {               \
         return *reinterpret_cast<const __VA_ARGS__*>(data);                 \
     }                                                                       \
                                                                             \
-    inline __VA_ARGS__& operator=(const Math::RectangularMatrix<cols, rows, T>& other) { \
+    __VA_ARGS__& operator=(const Math::RectangularMatrix<cols, rows, T>& other) { \
         Math::RectangularMatrix<cols, rows, T>::operator=(other);           \
         return *this;                                                       \
     }                                                                       \
                                                                             \
-    inline __VA_ARGS__ operator-() const {                                  \
+    __VA_ARGS__ operator-() const {                                         \
         return Math::RectangularMatrix<cols, rows, T>::operator-();         \
     }                                                                       \
-    inline __VA_ARGS__& operator+=(const Math::RectangularMatrix<cols, rows, T>& other) { \
+    __VA_ARGS__& operator+=(const Math::RectangularMatrix<cols, rows, T>& other) { \
         Math::RectangularMatrix<cols, rows, T>::operator+=(other);          \
         return *this;                                                       \
     }                                                                       \
-    inline __VA_ARGS__ operator+(const Math::RectangularMatrix<cols, rows, T>& other) const { \
+    __VA_ARGS__ operator+(const Math::RectangularMatrix<cols, rows, T>& other) const { \
         return Math::RectangularMatrix<cols, rows, T>::operator+(other);    \
     }                                                                       \
-    inline __VA_ARGS__& operator-=(const Math::RectangularMatrix<cols, rows, T>& other) { \
+    __VA_ARGS__& operator-=(const Math::RectangularMatrix<cols, rows, T>& other) { \
         Math::RectangularMatrix<cols, rows, T>::operator-=(other);          \
         return *this;                                                       \
     }                                                                       \
-    inline __VA_ARGS__ operator-(const Math::RectangularMatrix<cols, rows, T>& other) const { \
+    __VA_ARGS__ operator-(const Math::RectangularMatrix<cols, rows, T>& other) const { \
         return Math::RectangularMatrix<cols, rows, T>::operator-(other);    \
     }                                                                       \
-    template<class U> inline typename std::enable_if<std::is_arithmetic<U>::value, __VA_ARGS__&>::type operator*=(U number) { \
+    template<class U> typename std::enable_if<std::is_arithmetic<U>::value, __VA_ARGS__&>::type operator*=(U number) { \
         Math::RectangularMatrix<cols, rows, T>::operator*=(number);         \
         return *this;                                                       \
     }                                                                       \
-    template<class U> inline typename std::enable_if<std::is_arithmetic<U>::value, __VA_ARGS__>::type operator*(U number) const { \
+    template<class U> typename std::enable_if<std::is_arithmetic<U>::value, __VA_ARGS__>::type operator*(U number) const { \
         return Math::RectangularMatrix<cols, rows, T>::operator*(number);   \
     }                                                                       \
-    template<class U> inline typename std::enable_if<std::is_arithmetic<U>::value, __VA_ARGS__&>::type operator/=(U number) { \
+    template<class U> typename std::enable_if<std::is_arithmetic<U>::value, __VA_ARGS__&>::type operator/=(U number) { \
         Math::RectangularMatrix<cols, rows, T>::operator/=(number);         \
         return *this;                                                       \
     }                                                                       \
-    template<class U> inline typename std::enable_if<std::is_arithmetic<U>::value, __VA_ARGS__>::type operator/(U number) const { \
+    template<class U> typename std::enable_if<std::is_arithmetic<U>::value, __VA_ARGS__>::type operator/(U number) const { \
         return Math::RectangularMatrix<cols, rows, T>::operator/(number);   \
     }
 #endif
 
+template<std::size_t cols, std::size_t rows, class T> inline RectangularMatrix<cols, rows, T> RectangularMatrix<cols, rows, T>::fromDiagonal(const Vector<DiagonalSize, T>& diagonal) {
+    RectangularMatrix<cols, rows, T> out;
+
+    for(std::size_t i = 0; i != DiagonalSize; ++i)
+        out[i][i] = diagonal[i];
+
+    return out;
+}
+
+template<std::size_t cols, std::size_t rows, class T> inline Vector<cols, T> RectangularMatrix<cols, rows, T>::row(std::size_t row) const {
+    Vector<cols, T> out;
+
+    for(std::size_t i = 0; i != cols; ++i)
+        out[i] = _data[i][row];
+
+    return out;
+}
+
+template<std::size_t cols, std::size_t rows, class T> inline RectangularMatrix<cols, rows, T> RectangularMatrix<cols, rows, T>::operator-() const {
+    RectangularMatrix<cols, rows, T> out;
+
+    for(std::size_t i = 0; i != cols; ++i)
+        out._data[i] = -_data[i];
+
+    return out;
+}
+
+template<std::size_t cols, std::size_t rows, class T> template<std::size_t size> inline RectangularMatrix<size, rows, T> RectangularMatrix<cols, rows, T>::operator*(const RectangularMatrix<size, cols, T>& other) const {
+    RectangularMatrix<size, rows, T> out;
+
+    for(std::size_t col = 0; col != size; ++col)
+        for(std::size_t row = 0; row != rows; ++row)
+            for(std::size_t pos = 0; pos != cols; ++pos)
+                out[col][row] += _data[pos][row]*other._data[col][pos];
+
+    return out;
+}
+
+template<std::size_t cols, std::size_t rows, class T> inline RectangularMatrix<rows, cols, T> RectangularMatrix<cols, rows, T>::transposed() const {
+    RectangularMatrix<rows, cols, T> out;
+
+    for(std::size_t col = 0; col != cols; ++col)
+        for(std::size_t row = 0; row != rows; ++row)
+            out[row][col] = _data[col][row];
+
+    return out;
+}
+
+template<std::size_t cols, std::size_t rows, class T> auto RectangularMatrix<cols, rows, T>::diagonal() const -> Vector<DiagonalSize, T> {
+    Vector<DiagonalSize, T> out;
+
+    for(std::size_t i = 0; i != DiagonalSize; ++i)
+        out[i] = _data[i][i];
+
+    return out;
+}
+
 }}
 
 namespace Corrade { namespace Utility {

src/Math/Swizzle.h

@@ -36,7 +36,7 @@ namespace Implementation {
     template<std::size_t size, std::size_t position> struct ComponentAtPosition {
         static_assert(size > position, "Swizzle parameter out of range of base vector");
 
-        template<class T> inline constexpr static T value(const Math::Vector<size, T>& vector) { return vector[position]; }
+        template<class T> constexpr static T value(const Math::Vector<size, T>& vector) { return vector[position]; }
     };
 
     template<std::size_t size, char component> struct Component {};
@@ -45,10 +45,10 @@ namespace Implementation {
     template<std::size_t size> struct Component<size, 'z'>: public ComponentAtPosition<size, 2> {};
     template<std::size_t size> struct Component<size, 'w'>: public ComponentAtPosition<size, 3> {};
     template<std::size_t size> struct Component<size, '0'> {
-        template<class T> inline constexpr static T value(const Math::Vector<size, T>&) { return T(0); }
+        template<class T> constexpr static T value(const Math::Vector<size, T>&) { return T(0); }
     };
     template<std::size_t size> struct Component<size, '1'> {
-        template<class T> inline constexpr static T value(const Math::Vector<size, T>&) { return T(1); }
+        template<class T> constexpr static T value(const Math::Vector<size, T>&) { return T(1); }
     };
 }
 
@@ -72,7 +72,7 @@ present in this lightweight implementation for Math namespace.
 @see @ref matrix-vector-component-access, Vector4::xyz(),
     Vector4::xy(), Vector3::xy()
 */
-template<char ...components, std::size_t size, class T> inline constexpr Vector<sizeof...(components), T> swizzle(const Vector<size, T>& vector) {
+template<char ...components, std::size_t size, class T> constexpr Vector<sizeof...(components), T> swizzle(const Vector<size, T>& vector) {
     return {Implementation::Component<size, components>::value(vector)...};
 }
 

src/Math/Test/Matrix3Test.cpp

@@ -37,14 +37,14 @@ namespace Magnum { namespace Math {
 namespace Implementation {
 
 template<> struct RectangularMatrixConverter<3, 3, float, Mat3> {
-    inline constexpr static RectangularMatrix<3, 3, Float> from(const Mat3& other) {
+    constexpr static RectangularMatrix<3, 3, Float> from(const Mat3& other) {
         return RectangularMatrix<3, 3, Float>(
             Vector<3, Float>(other.a[0], other.a[1], other.a[2]),
             Vector<3, Float>(other.a[3], other.a[4], other.a[5]),
             Vector<3, Float>(other.a[6], other.a[7], other.a[8]));
     }
 
-    inline constexpr static Mat3 to(const RectangularMatrix<3, 3, Float>& other) {
+    constexpr static Mat3 to(const RectangularMatrix<3, 3, Float>& other) {
         return Mat3{{other[0][0], other[0][1], other[0][2],
                      other[1][0], other[1][1], other[1][2],
                      other[2][0], other[2][1], other[2][2]}};

src/Math/Test/Matrix4Test.cpp

@@ -37,7 +37,7 @@ namespace Magnum { namespace Math {
 namespace Implementation {
 
 template<> struct RectangularMatrixConverter<4, 4, float, Mat4> {
-    inline constexpr static RectangularMatrix<4, 4, Float> from(const Mat4& other) {
+    constexpr static RectangularMatrix<4, 4, Float> from(const Mat4& other) {
         return RectangularMatrix<4, 4, Float>(
             Vector<4, Float>(other.a[0], other.a[1], other.a[2], other.a[3]),
             Vector<4, Float>(other.a[4], other.a[5], other.a[6], other.a[7]),
@@ -45,7 +45,7 @@ template<> struct RectangularMatrixConverter<4, 4, float, Mat4> {
             Vector<4, Float>(other.a[12], other.a[13], other.a[14], other.a[15]));
     }
 
-    inline constexpr static Mat4 to(const RectangularMatrix<4, 4, Float>& other) {
+    constexpr static Mat4 to(const RectangularMatrix<4, 4, Float>& other) {
         return Mat4{{other[0][0], other[0][1], other[0][2], other[0][3],
                      other[1][0], other[1][1], other[1][2], other[1][3],
                      other[2][0], other[2][1], other[2][2], other[2][3],

src/Math/Test/MatrixTest.cpp

@@ -37,14 +37,14 @@ namespace Magnum { namespace Math {
 namespace Implementation {
 
 template<> struct RectangularMatrixConverter<3, 3, float, Mat3> {
-    inline constexpr static RectangularMatrix<3, 3, Float> from(const Mat3& other) {
+    constexpr static RectangularMatrix<3, 3, Float> from(const Mat3& other) {
         return RectangularMatrix<3, 3, Float>(
             Vector<3, Float>(other.a[0], other.a[1], other.a[2]),
             Vector<3, Float>(other.a[3], other.a[4], other.a[5]),
             Vector<3, Float>(other.a[6], other.a[7], other.a[8]));
     }
 
-    inline constexpr static Mat3 to(const RectangularMatrix<3, 3, Float>& other) {
+    constexpr static Mat3 to(const RectangularMatrix<3, 3, Float>& other) {
         return Mat3{{other[0][0], other[0][1], other[0][2],
                      other[1][0], other[1][1], other[1][2],
                      other[2][0], other[2][1], other[2][2]}};

src/Math/Test/RectangularMatrixTest.cpp

@@ -37,13 +37,13 @@ namespace Magnum { namespace Math {
 namespace Implementation {
 
 template<> struct RectangularMatrixConverter<2, 3, float, Mat2x3> {
-    inline constexpr static RectangularMatrix<2, 3, Float> from(const Mat2x3& other) {
+    constexpr static RectangularMatrix<2, 3, Float> from(const Mat2x3& other) {
         return RectangularMatrix<2, 3, Float>(
             Vector<3, Float>(other.a[0], other.a[1], other.a[2]),
             Vector<3, Float>(other.a[3], other.a[4], other.a[5]));
     }
 
-    inline constexpr static Mat2x3 to(const RectangularMatrix<2, 3, Float>& other) {
+    constexpr static Mat2x3 to(const RectangularMatrix<2, 3, Float>& other) {
         return Mat2x3{{other[0][0], other[0][1], other[0][2],
                        other[1][0], other[1][1], other[1][2]}};
     }

src/Math/Test/Vector2Test.cpp

@@ -37,11 +37,11 @@ namespace Magnum { namespace Math {
 namespace Implementation {
 
 template<> struct VectorConverter<2, float, Vec2> {
-    inline constexpr static Vector<2, float> from(const Vec2& other) {
+    constexpr static Vector<2, float> from(const Vec2& other) {
         return {other.x, other.y};
     }
 
-    inline constexpr static Vec2 to(const Vector<2, float>& other) {
+    constexpr static Vec2 to(const Vector<2, float>& other) {
         return {other[0], other[1]};
     }
 };

src/Math/Test/Vector3Test.cpp

@@ -37,11 +37,11 @@ namespace Magnum { namespace Math {
 namespace Implementation {
 
 template<> struct VectorConverter<3, float, Vec3> {
-    inline constexpr static Vector<3, Float> from(const Vec3& other) {
+    constexpr static Vector<3, Float> from(const Vec3& other) {
         return {other.x, other.y, other.z};
     }
 
-    inline constexpr static Vec3 to(const Vector<3, Float>& other) {
+    constexpr static Vec3 to(const Vector<3, Float>& other) {
         return {other[0], other[1], other[2]};
     }
 };

src/Math/Test/Vector4Test.cpp

@@ -37,11 +37,11 @@ namespace Magnum { namespace Math {
 namespace Implementation {
 
 template<> struct VectorConverter<4, float, Vec4> {
-    inline constexpr static Vector<4, Float> from(const Vec4& other) {
+    constexpr static Vector<4, Float> from(const Vec4& other) {
         return {other.x, other.y, other.z, other.w};
     }
 
-    inline constexpr static Vec4 to(const Vector<4, Float>& other) {
+    constexpr static Vec4 to(const Vector<4, Float>& other) {
         return {other[0], other[1], other[2], other[3]};
     }
 };

src/Math/Test/VectorTest.cpp

@@ -37,11 +37,11 @@ namespace Magnum { namespace Math {
 namespace Implementation {
 
 template<> struct VectorConverter<3, float, Vec3> {
-    inline constexpr static Vector<3, Float> from(const Vec3& other) {
+    constexpr static Vector<3, Float> from(const Vec3& other) {
         return {other.x, other.y, other.z};
     }
 
-    inline constexpr static Vec3 to(const Vector<3, Float>& other) {
+    constexpr static Vec3 to(const Vector<3, Float>& other) {
         return {other[0], other[1], other[2]};
     }
 };

src/Math/TypeTraits.h

@@ -56,7 +56,7 @@ namespace Implementation {
     template<class T> struct TypeTraitsDefault {
         TypeTraitsDefault() = delete;
 
-        inline constexpr static bool equals(T a, T b) {
+        constexpr static bool equals(T a, T b) {
             return a == b;
         }
     };
@@ -93,7 +93,7 @@ template<class T> struct TypeTraits: Implementation::TypeTraitsDefault<T> {
      * inequal. Returns 1 for integer types and reasonably small value for
      * floating-point types. Not implemented for arbitrary types.
      */
-    inline constexpr static T epsilon();
+    constexpr static T epsilon();
 
     /**
      * @brief Fuzzy compare
@@ -116,7 +116,7 @@ template<class T> struct TypeTraits: Implementation::TypeTraitsDefault<T> {
 /* Integral scalar types */
 namespace Implementation {
     template<class T> struct TypeTraitsIntegral: TypeTraitsDefault<T> {
-        inline constexpr static T epsilon() { return T(1); }
+        constexpr static T epsilon() { return T(1); }
     };
 }
 
@@ -159,7 +159,7 @@ namespace Implementation {
     template<class T> struct TypeTraitsFloatingPoint {
         TypeTraitsFloatingPoint() = delete;
 
-        inline static bool equals(T a, T b) {
+        static bool equals(T a, T b) {
             return std::abs(a - b) < TypeTraits<T>::epsilon();
         }
     };
@@ -168,19 +168,19 @@ namespace Implementation {
 template<> struct TypeTraits<Float>: Implementation::TypeTraitsFloatingPoint<Float> {
     typedef Float FloatingPointType;
 
-    inline constexpr static Float epsilon() { return FLOAT_EQUALITY_PRECISION; }
+    constexpr static Float epsilon() { return FLOAT_EQUALITY_PRECISION; }
 };
 #ifndef MAGNUM_TARGET_GLES
 template<> struct TypeTraits<Double>: Implementation::TypeTraitsFloatingPoint<Double> {
     typedef Double FloatingPointType;
 
-    inline constexpr static Double epsilon() { return DOUBLE_EQUALITY_PRECISION; }
+    constexpr static Double epsilon() { return DOUBLE_EQUALITY_PRECISION; }
 };
 #endif
 template<> struct TypeTraits<long double>: Implementation::TypeTraitsFloatingPoint<long double> {
     typedef long double FloatingPointType;
 
-    inline constexpr static long double epsilon() { return LONG_DOUBLE_EQUALITY_PRECISION; }
+    constexpr static long double epsilon() { return LONG_DOUBLE_EQUALITY_PRECISION; }
 };
 
 /* Comparing squared length to 1 is not sufficient to compare within range

src/Math/Unit.h

@@ -45,98 +45,98 @@ template<template<class> class Derived, class T> class Unit {
         typedef T Type;             /**< @brief Underlying data type */
 
         /** @brief Default constructor */
-        inline constexpr /*implicit*/ Unit(): value(T(0)) {}
+        constexpr /*implicit*/ Unit(): value(T(0)) {}
 
         /** @brief Explicit conversion from unitless type */
-        inline constexpr explicit Unit(T value): value(value) {}
+        constexpr explicit Unit(T value): value(value) {}
 
         /** @brief Construct from another underlying type */
-        template<class U> inline constexpr explicit Unit(Unit<Derived, U> value): value(value.value) {}
+        template<class U> constexpr explicit Unit(Unit<Derived, U> value): value(value.value) {}
 
         /** @brief Explicit conversion to underlying type */
-        inline constexpr explicit operator T() const { return value; }
+        constexpr explicit operator T() const { return value; }
 
         /** @brief Equality comparison */
-        inline constexpr bool operator==(Unit<Derived, T> other) const {
+        constexpr bool operator==(Unit<Derived, T> other) const {
             return TypeTraits<T>::equals(value, other.value);
         }
 
         /** @brief Non-equality comparison */
-        inline constexpr bool operator!=(Unit<Derived, T> other) const {
+        constexpr bool operator!=(Unit<Derived, T> other) const {
             return !operator==(other);
         }
 
         /** @brief Less than comparison */
-        inline constexpr bool operator<(Unit<Derived, T> other) const {
+        constexpr bool operator<(Unit<Derived, T> other) const {
             return value < other.value;
         }
 
         /** @brief Greater than comparison */
-        inline constexpr bool operator>(Unit<Derived, T> other) const {
+        constexpr bool operator>(Unit<Derived, T> other) const {
             return value > other.value;
         }
 
         /** @brief Less than or equal comparison */
-        inline constexpr bool operator<=(Unit<Derived, T> other) const {
+        constexpr bool operator<=(Unit<Derived, T> other) const {
             return !operator>(other);
         }
 
         /** @brief Greater than or equal comparison */
-        inline constexpr bool operator>=(Unit<Derived, T> other) const {
+        constexpr bool operator>=(Unit<Derived, T> other) const {
             return !operator<(other);
         }
 
         /** @brief Negated value */
-        inline constexpr Unit<Derived, T> operator-() const {
+        constexpr Unit<Derived, T> operator-() const {
             return Unit<Derived, T>(-value);
         }
 
         /** @brief Add and assign value */
-        inline Unit<Derived, T>& operator+=(Unit<Derived, T> other) {
+        Unit<Derived, T>& operator+=(Unit<Derived, T> other) {
             value += other.value;
             return *this;
         }
 
         /** @brief Add value */
-        inline constexpr Unit<Derived, T> operator+(Unit<Derived, T> other) const {
+        constexpr Unit<Derived, T> operator+(Unit<Derived, T> other) const {
             return Unit<Derived, T>(value + other.value);
         }
 
         /** @brief Subtract and assign value */
-        inline Unit<Derived, T>& operator-=(Unit<Derived, T> other) {
+        Unit<Derived, T>& operator-=(Unit<Derived, T> other) {
             value -= other.value;
             return *this;
         }
 
         /** @brief Subtract value */
-        inline constexpr Unit<Derived, T> operator-(Unit<Derived, T> other) const {
+        constexpr Unit<Derived, T> operator-(Unit<Derived, T> other) const {
             return Unit<Derived, T>(value - other.value);
         }
 
         /** @brief Multiply with number and assign */
-        inline Unit<Derived, T>& operator*=(T number) {
+        Unit<Derived, T>& operator*=(T number) {
             value *= number;
             return *this;
         }
 
         /** @brief Multiply with number */
-        inline constexpr Unit<Derived, T> operator*(T number) const {
+        constexpr Unit<Derived, T> operator*(T number) const {
             return Unit<Derived, T>(value*number);
         }
 
         /** @brief Divide with number and assign */
-        inline Unit<Derived, T>& operator/=(T number) {
+        Unit<Derived, T>& operator/=(T number) {
             value /= number;
             return *this;
         }
 
         /** @brief Divide with number */
-        inline constexpr Unit<Derived, T> operator/(T number) const {
+        constexpr Unit<Derived, T> operator/(T number) const {
             return Unit<Derived, T>(value/number);
         }
 
         /** @brief Ratio of two values */
-        inline constexpr T operator/(Unit<Derived, T> other) const {
+        constexpr T operator/(Unit<Derived, T> other) const {
             return value/other.value;
         }
 
@@ -147,7 +147,7 @@ template<template<class> class Derived, class T> class Unit {
 /** @relates Unit
 @brief Multiply number with value
 */
-template<template<class> class Derived, class T> inline constexpr Unit<Derived, T> operator*(typename std::common_type<T>::type number, const Unit<Derived, T>& value) {
+template<template<class> class Derived, class T> constexpr Unit<Derived, T> operator*(typename std::common_type<T>::type number, const Unit<Derived, T>& value) {
     return value*number;
 }
 

src/Math/Vector.h

@@ -71,11 +71,11 @@ template<std::size_t size, class T> class Vector {
          * @attention Use with caution, the function doesn't check whether the
          *      array is long enough.
          */
-        inline constexpr static Vector<size, T>& from(T* data) {
+        constexpr static Vector<size, T>& from(T* data) {
             return *reinterpret_cast<Vector<size, T>*>(data);
         }
         /** @overload */
-        inline constexpr static const Vector<size, T>& from(const T* data) {
+        constexpr static const Vector<size, T>& from(const T* data) {
             return *reinterpret_cast<const Vector<size, T>*>(data);
         }
 
@@ -89,7 +89,7 @@ template<std::size_t size, class T> class Vector {
          * @f]
          * @see dot() const, operator-(), Vector2::perpendicular()
          */
-        inline static T dot(const Vector<size, T>& a, const Vector<size, T>& b) {
+        static T dot(const Vector<size, T>& a, const Vector<size, T>& b) {
             return (a*b).sum();
         }
 
@@ -101,11 +101,7 @@ template<std::size_t size, class T> class Vector {
          * @f]
          * @see isNormalized(), Quaternion::angle(), Complex::angle()
          */
-        inline static Rad<T> angle(const Vector<size, T>& normalizedA, const Vector<size, T>& normalizedB) {
-            CORRADE_ASSERT(normalizedA.isNormalized() && normalizedB.isNormalized(),
-                           "Math::Vector::angle(): vectors must be normalized", Rad<T>(std::numeric_limits<T>::quiet_NaN()));
-            return Rad<T>(std::acos(dot(normalizedA, normalizedB)));
-        }
+        static Rad<T> angle(const Vector<size, T>& normalizedA, const Vector<size, T>& normalizedB);
 
         /**
          * @brief Default constructor
@@ -114,7 +110,7 @@ template<std::size_t size, class T> class Vector {
          *      \boldsymbol v = \boldsymbol 0
          * @f]
          */
-        inline constexpr /*implicit*/ Vector(): _data() {}
+        constexpr /*implicit*/ Vector(): _data() {}
 
         /** @todo Creating Vector from combination of vector and scalar types */
 
@@ -124,19 +120,19 @@ template<std::size_t size, class T> class Vector {
          * @param next  Next values
          */
         #ifdef DOXYGEN_GENERATING_OUTPUT
-        template<class ...U> inline constexpr /*implicit*/ Vector(T first, U... next);
+        template<class ...U> constexpr /*implicit*/ Vector(T first, U... next);
         #else
-        template<class ...U, class V = typename std::enable_if<sizeof...(U)+1 == size, T>::type> inline constexpr /*implicit*/ Vector(T first, U... next): _data{first, next...} {}
+        template<class ...U, class V = typename std::enable_if<sizeof...(U)+1 == size, T>::type> constexpr /*implicit*/ Vector(T first, U... next): _data{first, next...} {}
         #endif
 
         /** @brief Construct vector with one value for all fields */
         #ifdef DOXYGEN_GENERATING_OUTPUT
-        inline explicit Vector(T value);
+        constexpr explicit Vector(T value);
         #else
         #ifndef CORRADE_GCC46_COMPATIBILITY
-        template<class U, class V = typename std::enable_if<std::is_same<T, U>::value && size != 1, T>::type> inline constexpr explicit Vector(U value): Vector(typename Implementation::GenerateSequence<size>::Type(), value) {}
+        template<class U, class V = typename std::enable_if<std::is_same<T, U>::value && size != 1, T>::type> constexpr explicit Vector(U value): Vector(typename Implementation::GenerateSequence<size>::Type(), value) {}
         #else
-        template<class U, class V = typename std::enable_if<std::is_same<T, U>::value && size != 1, T>::type> inline explicit Vector(U value) {
+        template<class U, class V = typename std::enable_if<std::is_same<T, U>::value && size != 1, T>::type> explicit Vector(U value) {
             *this = Vector(typename Implementation::GenerateSequence<size>::Type(), value);
         }
         #endif
@@ -154,30 +150,30 @@ template<std::size_t size, class T> class Vector {
          * @endcode
          */
         #ifndef CORRADE_GCC46_COMPATIBILITY
-        template<class U> inline constexpr explicit Vector(const Vector<size, U>& other): Vector(typename Implementation::GenerateSequence<size>::Type(), other) {}
+        template<class U> constexpr explicit Vector(const Vector<size, U>& other): Vector(typename Implementation::GenerateSequence<size>::Type(), other) {}
         #else
-        template<class U> inline explicit Vector(const Vector<size, U>& other) {
+        template<class U> explicit Vector(const Vector<size, U>& other) {
             *this = Vector(typename Implementation::GenerateSequence<size>::Type(), other);
         }
         #endif
 
         /** @brief Construct vector from external representation */
         #ifndef CORRADE_GCC46_COMPATIBILITY
-        template<class U, class V = decltype(Implementation::VectorConverter<size, T, U>::from(std::declval<U>()))> inline constexpr explicit Vector(const U& other): Vector(Implementation::VectorConverter<size, T, U>::from(other)) {}
+        template<class U, class V = decltype(Implementation::VectorConverter<size, T, U>::from(std::declval<U>()))> constexpr explicit Vector(const U& other): Vector(Implementation::VectorConverter<size, T, U>::from(other)) {}
         #else
-        template<class U, class V = decltype(Implementation::VectorConverter<size, T, U>::from(std::declval<U>()))> inline explicit Vector(const U& other) {
+        template<class U, class V = decltype(Implementation::VectorConverter<size, T, U>::from(std::declval<U>()))> explicit Vector(const U& other) {
             *this = Implementation::VectorConverter<size, T, U>::from(other);
         }
         #endif
 
         /** @brief Copy constructor */
-        inline constexpr Vector(const Vector<size, T>&) = default;
+        constexpr Vector(const Vector<size, T>&) = default;
 
         /** @brief Assignment operator */
-        inline Vector<size, T>& operator=(const Vector<size, T>&) = default;
+        Vector<size, T>& operator=(const Vector<size, T>&) = default;
 
         /** @brief Convert vector to external representation */
-        template<class U, class V = decltype(Implementation::VectorConverter<size, T, U>::to(std::declval<Vector<size, T>>()))> inline constexpr explicit operator U() const {
+        template<class U, class V = decltype(Implementation::VectorConverter<size, T, U>::to(std::declval<Vector<size, T>>()))> constexpr explicit operator U() const {
             /** @bug Why this is not constexpr under GCC 4.6? */
             return Implementation::VectorConverter<size, T, U>::to(*this);
         }
@@ -188,19 +184,19 @@ template<std::size_t size, class T> class Vector {
          *
          * @see operator[]()
          */
-        inline T* data() { return _data; }
-        inline constexpr const T* data() const { return _data; } /**< @overload */
+        T* data() { return _data; }
+        constexpr const T* data() const { return _data; } /**< @overload */
 
         /**
          * @brief Value at given position
          *
          * @see data()
          */
-        inline T& operator[](std::size_t pos) { return _data[pos]; }
-        inline constexpr T operator[](std::size_t pos) const { return _data[pos]; } /**< @overload */
+        T& operator[](std::size_t pos) { return _data[pos]; }
+        constexpr T operator[](std::size_t pos) const { return _data[pos]; } /**< @overload */
 
         /** @brief Equality comparison */
-        inline bool operator==(const Vector<size, T>& other) const {
+        bool operator==(const Vector<size, T>& other) const {
             for(std::size_t i = 0; i != size; ++i)
                 if(!TypeTraits<T>::equals(_data[i], other._data[i])) return false;
 
@@ -208,49 +204,21 @@ template<std::size_t size, class T> class Vector {
         }
 
         /** @brief Non-equality comparison */
-        inline bool operator!=(const Vector<size, T>& other) const {
+        bool operator!=(const Vector<size, T>& other) const {
             return !operator==(other);
         }
 
         /** @brief Component-wise less than */
-        inline BoolVector<size> operator<(const Vector<size, T>& other) const {
-            BoolVector<size> out;
-
-            for(std::size_t i = 0; i != size; ++i)
-                out.set(i, _data[i] < other._data[i]);
-
-            return out;
-        }
+        BoolVector<size> operator<(const Vector<size, T>& other) const;
 
         /** @brief Component-wise less than or equal */
-        inline BoolVector<size> operator<=(const Vector<size, T>& other) const {
-            BoolVector<size> out;
-
-            for(std::size_t i = 0; i != size; ++i)
-                out.set(i, _data[i] <= other._data[i]);
-
-            return out;
-        }
+        BoolVector<size> operator<=(const Vector<size, T>& other) const;
 
         /** @brief Component-wise greater than or equal */
-        inline BoolVector<size> operator>=(const Vector<size, T>& other) const {
-            BoolVector<size> out;
-
-            for(std::size_t i = 0; i != size; ++i)
-                out.set(i, _data[i] >= other._data[i]);
-
-            return out;
-        }
+        BoolVector<size> operator>=(const Vector<size, T>& other) const;
 
         /** @brief Component-wise greater than */
-        inline BoolVector<size> operator>(const Vector<size, T>& other) const {
-            BoolVector<size> out;
-
-            for(std::size_t i = 0; i != size; ++i)
-                out.set(i, _data[i] > other._data[i]);
-
-            return out;
-        }
+        BoolVector<size> operator>(const Vector<size, T>& other) const;
 
         /**
          * @brief Whether the vector is normalized
@@ -260,26 +228,19 @@ template<std::size_t size, class T> class Vector {
          * @f]
          * @see dot(), normalized()
          */
-        inline bool isNormalized() const {
+        bool isNormalized() const {
             return Implementation::isNormalizedSquared(dot());
         }
 
         /**
          * @brief Negated vector
          *
-         * The computation is done in-place. @f[
-         *      \boldsymbol a_i = -\boldsymbol a_i
+         * @f[
+         *      \boldsymbol b_i = -\boldsymbol a_i
          * @f]
          * @see Vector2::perpendicular()
          */
-        Vector<size, T> operator-() const {
-            Vector<size, T> out;
-
-            for(std::size_t i = 0; i != size; ++i)
-                out._data[i] = -_data[i];
-
-            return out;
-        }
+        Vector<size, T> operator-() const;
 
         /**
          * @brief Add and assign vector
@@ -300,7 +261,7 @@ template<std::size_t size, class T> class Vector {
          *
          * @see operator+=(), sum()
          */
-        inline Vector<size, T> operator+(const Vector<size, T>& other) const {
+        Vector<size, T> operator+(const Vector<size, T>& other) const {
             return Vector<size, T>(*this) += other;
         }
 
@@ -323,7 +284,7 @@ template<std::size_t size, class T> class Vector {
          *
          * @see operator-=()
          */
-        inline Vector<size, T> operator-(const Vector<size, T>& other) const {
+        Vector<size, T> operator-(const Vector<size, T>& other) const {
             return Vector<size, T>(*this) -= other;
         }
 
@@ -337,7 +298,7 @@ template<std::size_t size, class T> class Vector {
         #ifdef DOXYGEN_GENERATING_OUTPUT
         template<class U> Vector<size, T>& operator*=(U number) {
         #else
-        template<class U> inline typename std::enable_if<std::is_arithmetic<U>::value, Vector<size, T>&>::type operator*=(U number) {
+        template<class U> typename std::enable_if<std::is_arithmetic<U>::value, Vector<size, T>&>::type operator*=(U number) {
         #endif
             for(std::size_t i = 0; i != size; ++i)
                 _data[i] *= number;
@@ -351,9 +312,9 @@ template<std::size_t size, class T> class Vector {
          * @see operator*=(U), operator*(U, const Vector<size, T>&)
          */
         #ifdef DOXYGEN_GENERATING_OUTPUT
-        template<class U> inline Vector<size, T> operator*(U number) const {
+        template<class U> Vector<size, T> operator*(U number) const {
         #else
-        template<class U> inline typename std::enable_if<std::is_arithmetic<U>::value, Vector<size, T>>::type operator*(U number) const {
+        template<class U> typename std::enable_if<std::is_arithmetic<U>::value, Vector<size, T>>::type operator*(U number) const {
         #endif
             return Vector<size, T>(*this) *= number;
         }
@@ -368,7 +329,7 @@ template<std::size_t size, class T> class Vector {
         #ifdef DOXYGEN_GENERATING_OUTPUT
         template<class U> Vector<size, T>& operator/=(U number) {
         #else
-        template<class U> inline typename std::enable_if<std::is_arithmetic<U>::value, Vector<size, T>&>::type operator/=(U number) {
+        template<class U> typename std::enable_if<std::is_arithmetic<U>::value, Vector<size, T>&>::type operator/=(U number) {
         #endif
             for(std::size_t i = 0; i != size; ++i)
                 _data[i] /= number;
@@ -382,9 +343,9 @@ template<std::size_t size, class T> class Vector {
          * @see operator/=(), operator/(U, const Vector<size, T>&)
          */
         #ifdef DOXYGEN_GENERATING_OUTPUT
-        template<class U> inline Vector<size, T> operator/(U number) const {
+        template<class U> Vector<size, T> operator/(U number) const {
         #else
-        template<class U> inline typename std::enable_if<std::is_arithmetic<U>::value, Vector<size, T>>::type operator/(U number) const {
+        template<class U> typename std::enable_if<std::is_arithmetic<U>::value, Vector<size, T>>::type operator/(U number) const {
         #endif
             return Vector<size, T>(*this) /= number;
         }
@@ -408,7 +369,7 @@ template<std::size_t size, class T> class Vector {
          *
          * @see operator*=(const Vector<size, U>&), product()
          */
-        template<class U> inline Vector<size, T> operator*(const Vector<size, U>& other) const {
+        template<class U> Vector<size, T> operator*(const Vector<size, U>& other) const {
             return Vector<size, T>(*this) *= other;
         }
 
@@ -431,7 +392,7 @@ template<std::size_t size, class T> class Vector {
          *
          * @see operator/=(const Vector<size, U>&)
          */
-        template<class U> inline Vector<size, T> operator/(const Vector<size, U>& other) const {
+        template<class U> Vector<size, T> operator/(const Vector<size, U>& other) const {
             return Vector<size, T>(*this) /= other;
         }
 
@@ -444,9 +405,7 @@ template<std::size_t size, class T> class Vector {
          * @f]
          * @see dot(const Vector&, const Vector&), isNormalized()
          */
-        inline T dot() const {
-            return dot(*this, *this);
-        }
+        T dot() const { return dot(*this, *this); }
 
         /**
          * @brief %Vector length
@@ -458,9 +417,7 @@ template<std::size_t size, class T> class Vector {
          * @see lengthInverted(), Math::sqrt(), normalized(), resized()
          * @todo something like std::hypot() for possibly better precision?
          */
-        inline T length() const {
-            return std::sqrt(dot());
-        }
+        T length() const { return std::sqrt(dot()); }
 
         /**
          * @brief Inverse vector length
@@ -470,18 +427,14 @@ template<std::size_t size, class T> class Vector {
          * @f]
          * @see length(), Math::sqrtInverted(), normalized(), resized()
          */
-        inline T lengthInverted() const {
-            return T(1)/length();
-        }
+        T lengthInverted() const { return T(1)/length(); }
 
         /**
          * @brief Normalized vector (of unit length)
          *
          * @see isNormalized(), lengthInverted(), resized()
          */
-        inline Vector<size, T> normalized() const {
-            return *this*lengthInverted();
-        }
+        Vector<size, T> normalized() const { return *this*lengthInverted(); }
 
         /**
          * @brief Resized vector
@@ -494,7 +447,7 @@ template<std::size_t size, class T> class Vector {
          * @endcode
          * @see normalized()
          */
-        inline Vector<size, T> resized(T length) const {
+        Vector<size, T> resized(T length) const {
             return *this*(lengthInverted()*length);
         }
 
@@ -506,7 +459,7 @@ template<std::size_t size, class T> class Vector {
          * @f]
          * @see dot(), projectedOntoNormalized()
          */
-        inline Vector<size, T> projected(const Vector<size, T>& line) const {
+        Vector<size, T> projected(const Vector<size, T>& line) const {
             return line*dot(*this, line)/line.dot();
         }
 
@@ -520,73 +473,42 @@ template<std::size_t size, class T> class Vector {
          * @f]
          * @see dot()
          */
-        inline Vector<size, T> projectedOntoNormalized(const Vector<size, T>& line) const {
-            CORRADE_ASSERT(line.isNormalized(), "Math::Vector::projectedOntoNormalized(): line must be normalized", (Vector<size, T>(std::numeric_limits<T>::quiet_NaN())));
-            return line*dot(*this, line);
-        }
+        Vector<size, T> projectedOntoNormalized(const Vector<size, T>& line) const;
 
         /**
          * @brief Sum of values in the vector
          *
          * @see operator+()
          */
-        T sum() const {
-            T out(_data[0]);
-
-            for(std::size_t i = 1; i != size; ++i)
-                out += _data[i];
-
-            return out;
-        }
+        T sum() const;
 
         /**
          * @brief Product of values in the vector
          *
          * @see operator*(const Vector&)
          */
-        T product() const {
-            T out(_data[0]);
-
-            for(std::size_t i = 1; i != size; ++i)
-                out *= _data[i];
-
-            return out;
-        }
+        T product() const;
 
         /**
          * @brief Minimal value in the vector
          *
          * @see Math::min()
          */
-        T min() const {
-            T out(_data[0]);
-
-            for(std::size_t i = 1; i != size; ++i)
-                out = std::min(out, _data[i]);
-
-            return out;
-        }
+        T min() const;
 
         /**
          * @brief Maximal value in the vector
          *
          * @see Math::max()
          */
-        T max() const {
-            T out(_data[0]);
-
-            for(std::size_t i = 1; i != size; ++i)
-                out = std::max(out, _data[i]);
-
-            return out;
-        }
+        T max() const;
 
     private:
         /* Implementation for Vector<size, T>::Vector(const Vector<size, U>&) */
-        template<class U, std::size_t ...sequence> inline constexpr explicit Vector(Implementation::Sequence<sequence...>, const Vector<sizeof...(sequence), U>& vector): _data{T(vector._data[sequence])...} {}
+        template<class U, std::size_t ...sequence> constexpr explicit Vector(Implementation::Sequence<sequence...>, const Vector<sizeof...(sequence), U>& vector): _data{T(vector._data[sequence])...} {}
 
         /* Implementation for Vector<size, T>::Vector(U) */
-        template<std::size_t ...sequence> inline constexpr explicit Vector(Implementation::Sequence<sequence...>, T value): _data{Implementation::repeat(value, sequence)...} {}
+        template<std::size_t ...sequence> constexpr explicit Vector(Implementation::Sequence<sequence...>, T value): _data{Implementation::repeat(value, sequence)...} {}
 
         T _data[size];
 };
@@ -658,71 +580,71 @@ extern template Corrade::Utility::Debug MAGNUM_EXPORT operator<<(Corrade::Utilit
 
 #ifndef DOXYGEN_GENERATING_OUTPUT
 #define MAGNUM_VECTOR_SUBCLASS_IMPLEMENTATION(Type, size)                   \
-    inline constexpr static Type<T>& from(T* data) {                        \
+    constexpr static Type<T>& from(T* data) {                               \
         return *reinterpret_cast<Type<T>*>(data);                           \
     }                                                                       \
-    inline constexpr static const Type<T>& from(const T* data) {            \
+    constexpr static const Type<T>& from(const T* data) {                   \
         return *reinterpret_cast<const Type<T>*>(data);                     \
     }                                                                       \
                                                                             \
-    inline Type<T>& operator=(const Type<T>& other) {                       \
+    Type<T>& operator=(const Type<T>& other) {                              \
         Math::Vector<size, T>::operator=(other);                            \
         return *this;                                                       \
     }                                                                       \
                                                                             \
-    inline Type<T> operator-() const {                                      \
+    Type<T> operator-() const {                                             \
         return Math::Vector<size, T>::operator-();                          \
     }                                                                       \
-    inline Type<T>& operator+=(const Math::Vector<size, T>& other) {        \
+    Type<T>& operator+=(const Math::Vector<size, T>& other) {               \
         Math::Vector<size, T>::operator+=(other);                           \
         return *this;                                                       \
     }                                                                       \
-    inline Type<T> operator+(const Math::Vector<size, T>& other) const {    \
+    Type<T> operator+(const Math::Vector<size, T>& other) const {           \
         return Math::Vector<size, T>::operator+(other);                     \
     }                                                                       \
-    inline Type<T>& operator-=(const Math::Vector<size, T>& other) {        \
+    Type<T>& operator-=(const Math::Vector<size, T>& other) {               \
         Math::Vector<size, T>::operator-=(other);                           \
         return *this;                                                       \
     }                                                                       \
-    inline Type<T> operator-(const Math::Vector<size, T>& other) const {    \
+    Type<T> operator-(const Math::Vector<size, T>& other) const {           \
         return Math::Vector<size, T>::operator-(other);                     \
     }                                                                       \
-    template<class U> inline typename std::enable_if<std::is_arithmetic<U>::value, Type<T>&>::type operator*=(U number) { \
+    template<class U> typename std::enable_if<std::is_arithmetic<U>::value, Type<T>&>::type operator*=(U number) { \
         Math::Vector<size, T>::operator*=(number);                          \
         return *this;                                                       \
     }                                                                       \
-    template<class U> inline typename std::enable_if<std::is_arithmetic<U>::value, Type<T>>::type operator*(U number) const { \
+    template<class U> typename std::enable_if<std::is_arithmetic<U>::value, Type<T>>::type operator*(U number) const { \
         return Math::Vector<size, T>::operator*(number);                    \
     }                                                                       \
-    template<class U> inline typename std::enable_if<std::is_arithmetic<U>::value, Type<T>&>::type operator/=(U number) { \
+    template<class U> typename std::enable_if<std::is_arithmetic<U>::value, Type<T>&>::type operator/=(U number) { \
         Math::Vector<size, T>::operator/=(number);                          \
         return *this;                                                       \
     }                                                                       \
-    template<class U> inline typename std::enable_if<std::is_arithmetic<U>::value, Type<T>>::type operator/(U number) const { \
+    template<class U> typename std::enable_if<std::is_arithmetic<U>::value, Type<T>>::type operator/(U number) const { \
         return Math::Vector<size, T>::operator/(number);                    \
     }                                                                       \
-    template<class U> inline Type<T>& operator*=(const Math::Vector<size, U>& other) { \
+    template<class U> Type<T>& operator*=(const Math::Vector<size, U>& other) { \
         Math::Vector<size, T>::operator*=(other);                           \
         return *this;                                                       \
     }                                                                       \
-    template<class U> inline Type<T> operator*(const Math::Vector<size, U>& other) const { \
+    template<class U> Type<T> operator*(const Math::Vector<size, U>& other) const { \
         return Math::Vector<size, T>::operator*(other);                     \
     }                                                                       \
-    template<class U> inline Type<T>& operator/=(const Math::Vector<size, U>& other) { \
+    template<class U> Type<T>& operator/=(const Math::Vector<size, U>& other) { \
         Math::Vector<size, T>::operator/=(other);                           \
         return *this;                                                       \
     }                                                                       \
-    template<class U> inline Type<T> operator/(const Math::Vector<size, U>& other) const { \
+    template<class U> Type<T> operator/(const Math::Vector<size, U>& other) const { \
         return Math::Vector<size, T>::operator/(other);                     \
     }                                                                       \
                                                                             \
-    inline Type<T> normalized() const {                                     \
+    Type<T> normalized() const {                                            \
         return Math::Vector<size, T>::normalized();                         \
     }                                                                       \
-    inline Type<T> resized(T length) const {                                \
+    Type<T> resized(T length) const {                                       \
         return Math::Vector<size, T>::resized(length);                      \
     }                                                                       \
-    inline Type<T> projected(const Math::Vector<size, T>& other) const {    \
+    Type<T> projected(const Math::Vector<size, T>& other) const {           \
         return Math::Vector<size, T>::projected(other);                     \
     }
 
@@ -735,6 +657,99 @@ extern template Corrade::Utility::Debug MAGNUM_EXPORT operator<<(Corrade::Utilit
     }
 #endif
 
+template<std::size_t size, class T> inline Rad<T> Vector<size, T>::angle(const Vector<size, T>& normalizedA, const Vector<size, T>& normalizedB) {
+    CORRADE_ASSERT(normalizedA.isNormalized() && normalizedB.isNormalized(),
+        "Math::Vector::angle(): vectors must be normalized", Rad<T>(std::numeric_limits<T>::quiet_NaN()));
+    return Rad<T>(std::acos(dot(normalizedA, normalizedB)));
+}
+
+template<std::size_t size, class T> inline BoolVector<size> Vector<size, T>::operator<(const Vector<size, T>& other) const {
+    BoolVector<size> out;
+
+    for(std::size_t i = 0; i != size; ++i)
+        out.set(i, _data[i] < other._data[i]);
+
+    return out;
+}
+
+template<std::size_t size, class T> inline BoolVector<size> Vector<size, T>::operator<=(const Vector<size, T>& other) const {
+    BoolVector<size> out;
+
+    for(std::size_t i = 0; i != size; ++i)
+        out.set(i, _data[i] <= other._data[i]);
+
+    return out;
+}
+
+template<std::size_t size, class T> inline BoolVector<size> Vector<size, T>::operator>=(const Vector<size, T>& other) const {
+    BoolVector<size> out;
+
+    for(std::size_t i = 0; i != size; ++i)
+        out.set(i, _data[i] >= other._data[i]);
+
+    return out;
+}
+
+template<std::size_t size, class T> inline BoolVector<size> Vector<size, T>::operator>(const Vector<size, T>& other) const {
+    BoolVector<size> out;
+
+    for(std::size_t i = 0; i != size; ++i)
+        out.set(i, _data[i] > other._data[i]);
+
+    return out;
+}
+
+template<std::size_t size, class T> inline Vector<size, T> Vector<size, T>::operator-() const {
+    Vector<size, T> out;
+
+    for(std::size_t i = 0; i != size; ++i)
+        out._data[i] = -_data[i];
+
+    return out;
+}
+
+template<std::size_t size, class T> inline Vector<size, T> Vector<size, T>::projectedOntoNormalized(const Vector<size, T>& line) const {
+    CORRADE_ASSERT(line.isNormalized(), "Math::Vector::projectedOntoNormalized(): line must be normalized",
+        (Vector<size, T>(std::numeric_limits<T>::quiet_NaN())));
+    return line*dot(*this, line);
+}
+
+template<std::size_t size, class T> inline T Vector<size, T>::sum() const {
+    T out(_data[0]);
+
+    for(std::size_t i = 1; i != size; ++i)
+        out += _data[i];
+
+    return out;
+}
+
+template<std::size_t size, class T> inline T Vector<size, T>::product() const {
+    T out(_data[0]);
+
+    for(std::size_t i = 1; i != size; ++i)
+        out *= _data[i];
+
+    return out;
+}
+
+template<std::size_t size, class T> inline T Vector<size, T>::min() const {
+    T out(_data[0]);
+
+    for(std::size_t i = 1; i != size; ++i)
+        out = std::min(out, _data[i]);
+
+    return out;
+}
+
+template<std::size_t size, class T> inline T Vector<size, T>::max() const {
+    T out(_data[0]);
+
+    for(std::size_t i = 1; i != size; ++i)
+        out = std::max(out, _data[i]);
+
+    return out;
+}
+
 }}
 
 namespace Corrade { namespace Utility {

src/Math/Vector2.h

@@ -51,7 +51,7 @@ template<class T> class Vector2: public Vector<2, T> {
          * @endcode
          * @see yAxis(), xScale(), Matrix3::right()
          */
-        inline constexpr static Vector2<T> xAxis(T length = T(1)) { return Vector2<T>(length, T()); }
+        constexpr static Vector2<T> xAxis(T length = T(1)) { return Vector2<T>(length, T()); }
 
         /**
          * @brief %Vector in direction of Y axis (up)
@@ -59,7 +59,7 @@ template<class T> class Vector2: public Vector<2, T> {
          * See xAxis() for more information.
          * @see yScale(), Matrix3::up()
          */
-        inline constexpr static Vector2<T> yAxis(T length = T(1)) { return Vector2<T>(T(), length); }
+        constexpr static Vector2<T> yAxis(T length = T(1)) { return Vector2<T>(T(), length); }
 
         /**
          * @brief Scaling vector in direction of X axis (width)
@@ -70,7 +70,7 @@ template<class T> class Vector2: public Vector<2, T> {
          * @endcode
          * @see yScale(), xAxis()
          */
-        inline constexpr static Vector2<T> xScale(T scale) { return Vector2<T>(scale, T(1)); }
+        constexpr static Vector2<T> xScale(T scale) { return Vector2<T>(scale, T(1)); }
 
         /**
          * @brief Scaling vector in direction of Y axis (height)
@@ -78,7 +78,7 @@ template<class T> class Vector2: public Vector<2, T> {
          * See xScale() for more information.
          * @see yAxis()
          */
-        inline constexpr static Vector2<T> yScale(T scale) { return Vector2<T>(T(1), scale); }
+        constexpr static Vector2<T> yScale(T scale) { return Vector2<T>(T(1), scale); }
 
         /**
          * @brief 2D cross product
@@ -91,15 +91,15 @@ template<class T> class Vector2: public Vector<2, T> {
          * @f]
          * @see perpendicular(), dot(const Vector&, const Vector&)
          */
-        inline static T cross(const Vector2<T>& a, const Vector2<T>& b) {
+        static T cross(const Vector2<T>& a, const Vector2<T>& b) {
             return Vector<2, T>::dot(a.perpendicular(), b);
         }
 
         /** @copydoc Vector::Vector() */
-        inline constexpr /*implicit*/ Vector2() {}
+        constexpr /*implicit*/ Vector2() {}
 
         /** @copydoc Vector::Vector(T) */
-        inline constexpr explicit Vector2(T value): Vector<2, T>(value) {}
+        constexpr explicit Vector2(T value): Vector<2, T>(value) {}
 
         /**
          * @brief Constructor
@@ -108,21 +108,21 @@ template<class T> class Vector2: public Vector<2, T> {
          *      \boldsymbol v = \begin{pmatrix} x \\ y \end{pmatrix}
          * @f]
          */
-        inline constexpr /*implicit*/ Vector2(T x, T y): Vector<2, T>(x, y) {}
+        constexpr /*implicit*/ Vector2(T x, T y): Vector<2, T>(x, y) {}
 
         /** @copydoc Vector::Vector(const Vector<size, U>&) */
-        template<class U> inline constexpr explicit Vector2(const Vector<2, U>& other): Vector<2, T>(other) {}
+        template<class U> constexpr explicit Vector2(const Vector<2, U>& other): Vector<2, T>(other) {}
 
         /** @brief Construct vector from external representation */
-        template<class U, class V = decltype(Implementation::VectorConverter<2, T, U>::from(std::declval<U>()))> inline constexpr explicit Vector2(const U& other): Vector<2, T>(Implementation::VectorConverter<2, T, U>::from(other)) {}
+        template<class U, class V = decltype(Implementation::VectorConverter<2, T, U>::from(std::declval<U>()))> constexpr explicit Vector2(const U& other): Vector<2, T>(Implementation::VectorConverter<2, T, U>::from(other)) {}
 
         /** @brief Copy constructor */
-        inline constexpr Vector2(const Vector<2, T>& other): Vector<2, T>(other) {}
+        constexpr Vector2(const Vector<2, T>& other): Vector<2, T>(other) {}
 
-        inline T& x() { return (*this)[0]; }                /**< @brief X component */
-        inline constexpr T x() const { return (*this)[0]; } /**< @overload */
-        inline T& y() { return (*this)[1]; }                /**< @brief Y component */
-        inline constexpr T y() const { return (*this)[1]; } /**< @overload */
+        T& x() { return (*this)[0]; }                   /**< @brief X component */
+        constexpr T x() const { return (*this)[0]; }    /**< @overload */
+        T& y() { return (*this)[1]; }                   /**< @brief Y component */
+        constexpr T y() const { return (*this)[1]; }    /**< @overload */
 
         /**
          * @brief Perpendicular vector
@@ -132,7 +132,7 @@ template<class T> class Vector2: public Vector<2, T> {
          * @f]
          * @see cross(), dot(const Vector&, const Vector&), operator-() const
          */
-        inline Vector2<T> perpendicular() const { return {-y(), x()}; }
+        Vector2<T> perpendicular() const { return {-y(), x()}; }
 
         MAGNUM_VECTOR_SUBCLASS_IMPLEMENTATION(Vector2, 2)
 };

src/Math/Vector3.h

@@ -53,7 +53,7 @@ template<class T> class Vector3: public Vector<3, T> {
          * @endcode
          * @see yAxis(), zAxis(), xScale(), Matrix4::right()
          */
-        inline constexpr static Vector3<T> xAxis(T length = T(1)) { return Vector3<T>(length, T(), T()); }
+        constexpr static Vector3<T> xAxis(T length = T(1)) { return Vector3<T>(length, T(), T()); }
 
         /**
          * @brief %Vector in direction of Y axis (up)
@@ -61,7 +61,7 @@ template<class T> class Vector3: public Vector<3, T> {
          * See xAxis() for more information.
          * @see yScale(), Matrix4::up()
          */
-        inline constexpr static Vector3<T> yAxis(T length = T(1)) { return Vector3<T>(T(), length, T()); }
+        constexpr static Vector3<T> yAxis(T length = T(1)) { return Vector3<T>(T(), length, T()); }
 
         /**
          * @brief %Vector in direction of Z axis (backward)
@@ -69,7 +69,7 @@ template<class T> class Vector3: public Vector<3, T> {
          * See xAxis() for more information.
          * @see zScale(), Matrix4::backward()
          */
-        inline constexpr static Vector3<T> zAxis(T length = T(1)) { return Vector3<T>(T(), T(), length); }
+        constexpr static Vector3<T> zAxis(T length = T(1)) { return Vector3<T>(T(), T(), length); }
 
         /**
          * @brief Scaling vector in direction of X axis (width)
@@ -80,7 +80,7 @@ template<class T> class Vector3: public Vector<3, T> {
          * @endcode
          * @see yScale(), zScale(), xAxis()
          */
-        inline constexpr static Vector3<T> xScale(T scale) { return Vector3<T>(scale, T(1), T(1)); }
+        constexpr static Vector3<T> xScale(T scale) { return Vector3<T>(scale, T(1), T(1)); }
 
         /**
          * @brief Scaling vector in direction of Y axis (height)
@@ -88,7 +88,7 @@ template<class T> class Vector3: public Vector<3, T> {
          * See xScale() for more information.
          * @see yAxis()
          */
-        inline constexpr static Vector3<T> yScale(T scale) { return Vector3<T>(T(1), scale, T(1)); }
+        constexpr static Vector3<T> yScale(T scale) { return Vector3<T>(T(1), scale, T(1)); }
 
         /**
          * @brief Scaling vector in direction of Z axis (depth)
@@ -96,7 +96,7 @@ template<class T> class Vector3: public Vector<3, T> {
          * See xScale() for more information.
          * @see zAxis()
          */
-        inline constexpr static Vector3<T> zScale(T scale) { return Vector3<T>(T(1), T(1), scale); }
+        constexpr static Vector3<T> zScale(T scale) { return Vector3<T>(T(1), T(1), scale); }
 
         /**
          * @brief Cross product
@@ -107,16 +107,16 @@ template<class T> class Vector3: public Vector<3, T> {
          * @f]
          * @see Vector2::cross()
          */
-        inline static Vector3<T> cross(const Vector3<T>& a, const Vector3<T>& b) {
+        static Vector3<T> cross(const Vector3<T>& a, const Vector3<T>& b) {
             return swizzle<'y', 'z', 'x'>(a)*swizzle<'z', 'x', 'y'>(b) -
                    swizzle<'z', 'x', 'y'>(a)*swizzle<'y', 'z', 'x'>(b);
         }
 
         /** @copydoc Vector::Vector() */
-        inline constexpr /*implicit*/ Vector3() {}
+        constexpr /*implicit*/ Vector3() {}
 
         /** @copydoc Vector::Vector(T) */
-        inline constexpr explicit Vector3(T value): Vector<3, T>(value) {}
+        constexpr explicit Vector3(T value): Vector<3, T>(value) {}
 
         /**
          * @brief Constructor
@@ -125,7 +125,7 @@ template<class T> class Vector3: public Vector<3, T> {
          *      \boldsymbol v = \begin{pmatrix} x \\ y \\ z \end{pmatrix}
          * @f]
          */
-        inline constexpr /*implicit*/ Vector3(T x, T y, T z): Vector<3, T>(x, y, z) {}
+        constexpr /*implicit*/ Vector3(T x, T y, T z): Vector<3, T>(x, y, z) {}
 
         /**
          * @brief Constructor
@@ -134,23 +134,23 @@ template<class T> class Vector3: public Vector<3, T> {
          *      \boldsymbol v = \begin{pmatrix} v_x \\ v_y \\ z \end{pmatrix}
          * @f]
          */
-        inline constexpr /*implicit*/ Vector3(const Vector2<T>& xy, T z): Vector<3, T>(xy[0], xy[1], z) {}
+        constexpr /*implicit*/ Vector3(const Vector2<T>& xy, T z): Vector<3, T>(xy[0], xy[1], z) {}
 
         /** @copydoc Vector::Vector(const Vector<size, U>&) */
-        template<class U> inline constexpr explicit Vector3(const Vector<3, U>& other): Vector<3, T>(other) {}
+        template<class U> constexpr explicit Vector3(const Vector<3, U>& other): Vector<3, T>(other) {}
 
         /** @brief Construct vector from external representation */
-        template<class U, class V = decltype(Implementation::VectorConverter<3, T, U>::from(std::declval<U>()))> inline constexpr explicit Vector3(const U& other): Vector<3, T>(Implementation::VectorConverter<3, T, U>::from(other)) {}
+        template<class U, class V = decltype(Implementation::VectorConverter<3, T, U>::from(std::declval<U>()))> constexpr explicit Vector3(const U& other): Vector<3, T>(Implementation::VectorConverter<3, T, U>::from(other)) {}
 
         /** @brief Copy constructor */
-        inline constexpr Vector3(const Vector<3, T>& other): Vector<3, T>(other) {}
+        constexpr Vector3(const Vector<3, T>& other): Vector<3, T>(other) {}
 
-        inline T& x() { return (*this)[0]; }                /**< @brief X component */
-        inline constexpr T x() const { return (*this)[0]; } /**< @overload */
-        inline T& y() { return (*this)[1]; }                /**< @brief Y component */
-        inline constexpr T y() const { return (*this)[1]; } /**< @overload */
-        inline T& z() { return (*this)[2]; }                /**< @brief Z component */
-        inline constexpr T z() const { return (*this)[2]; } /**< @overload */
+        T& x() { return (*this)[0]; }                   /**< @brief X component */
+        constexpr T x() const { return (*this)[0]; }    /**< @overload */
+        T& y() { return (*this)[1]; }                   /**< @brief Y component */
+        constexpr T y() const { return (*this)[1]; }    /**< @overload */
+        T& z() { return (*this)[2]; }                   /**< @brief Z component */
+        constexpr T z() const { return (*this)[2]; }    /**< @overload */
 
         /**
          * @brief XY part of the vector
@@ -158,8 +158,8 @@ template<class T> class Vector3: public Vector<3, T> {
          *
          * @see swizzle()
          */
-        inline Vector2<T>& xy() { return Vector2<T>::from(Vector<3, T>::data()); }
-        inline constexpr const Vector2<T> xy() const { return {x(), y()}; } /**< @overload */
+        Vector2<T>& xy() { return Vector2<T>::from(Vector<3, T>::data()); }
+        constexpr const Vector2<T> xy() const { return {x(), y()}; } /**< @overload */
 
         MAGNUM_VECTOR_SUBCLASS_IMPLEMENTATION(Vector3, 3)
 };

src/Math/Vector4.h

@@ -43,10 +43,10 @@ See @ref matrix-vector for brief introduction.
 template<class T> class Vector4: public Vector<4, T> {
     public:
         /** @copydoc Vector::Vector() */
-        inline constexpr /*implicit*/ Vector4() {}
+        constexpr /*implicit*/ Vector4() {}
 
         /** @copydoc Vector::Vector(T) */
-        inline constexpr explicit Vector4(T value): Vector<4, T>(value) {}
+        constexpr explicit Vector4(T value): Vector<4, T>(value) {}
 
         /**
          * @brief Constructor
@@ -55,7 +55,7 @@ template<class T> class Vector4: public Vector<4, T> {
          *      \boldsymbol v = \begin{pmatrix} x \\ y \\ z \\ w \end{pmatrix}
          * @f]
          */
-        inline constexpr /*implicit*/ Vector4(T x, T y, T z, T w): Vector<4, T>(x, y, z, w) {}
+        constexpr /*implicit*/ Vector4(T x, T y, T z, T w): Vector<4, T>(x, y, z, w) {}
 
         /**
          * @brief Constructor
@@ -64,25 +64,25 @@ template<class T> class Vector4: public Vector<4, T> {
          *      \boldsymbol v = \begin{pmatrix} v_x \\ v_y \\ v_z \\ w \end{pmatrix}
          * @f]
          */
-        inline constexpr /*implicit*/ Vector4(const Vector3<T>& xyz, T w): Vector<4, T>(xyz[0], xyz[1], xyz[2], w) {}
+        constexpr /*implicit*/ Vector4(const Vector3<T>& xyz, T w): Vector<4, T>(xyz[0], xyz[1], xyz[2], w) {}
 
         /** @copydoc Vector::Vector(const Vector<size, U>&) */
-        template<class U> inline constexpr explicit Vector4(const Vector<4, U>& other): Vector<4, T>(other) {}
+        template<class U> constexpr explicit Vector4(const Vector<4, U>& other): Vector<4, T>(other) {}
 
         /** @brief Construct vector from external representation */
-        template<class U, class V = decltype(Implementation::VectorConverter<4, T, U>::from(std::declval<U>()))> inline constexpr explicit Vector4(const U& other): Vector<4, T>(Implementation::VectorConverter<4, T, U>::from(other)) {}
+        template<class U, class V = decltype(Implementation::VectorConverter<4, T, U>::from(std::declval<U>()))> constexpr explicit Vector4(const U& other): Vector<4, T>(Implementation::VectorConverter<4, T, U>::from(other)) {}
 
         /** @brief Copy constructor */
-        inline constexpr Vector4(const Vector<4, T>& other): Vector<4, T>(other) {}
+        constexpr Vector4(const Vector<4, T>& other): Vector<4, T>(other) {}
 
-        inline T& x() { return (*this)[0]; }                /**< @brief X component */
-        inline constexpr T x() const { return (*this)[0]; } /**< @overload */
-        inline T& y() { return (*this)[1]; }                /**< @brief Y component */
-        inline constexpr T y() const { return (*this)[1]; } /**< @overload */
-        inline T& z() { return (*this)[2]; }                /**< @brief Z component */
-        inline constexpr T z() const { return (*this)[2]; } /**< @overload */
-        inline T& w() { return (*this)[3]; }                /**< @brief W component */
-        inline constexpr T w() const { return (*this)[3]; } /**< @overload */
+        T& x() { return (*this)[0]; }                   /**< @brief X component */
+        constexpr T x() const { return (*this)[0]; }    /**< @overload */
+        T& y() { return (*this)[1]; }                   /**< @brief Y component */
+        constexpr T y() const { return (*this)[1]; }    /**< @overload */
+        T& z() { return (*this)[2]; }                   /**< @brief Z component */
+        constexpr T z() const { return (*this)[2]; }    /**< @overload */
+        T& w() { return (*this)[3]; }                   /**< @brief W component */
+        constexpr T w() const { return (*this)[3]; }    /**< @overload */
 
         /**
          * @brief XYZ part of the vector
@@ -90,8 +90,8 @@ template<class T> class Vector4: public Vector<4, T> {
          *
          * @see swizzle()
          */
-        inline Vector3<T>& xyz() { return Vector3<T>::from(Vector<4, T>::data()); }
-        inline constexpr const Vector3<T> xyz() const { return {x(), y(), z()}; } /**< @overload */
+        Vector3<T>& xyz() { return Vector3<T>::from(Vector<4, T>::data()); }
+        constexpr const Vector3<T> xyz() const { return {x(), y(), z()}; } /**< @overload */
 
         /**
          * @brief XY part of the vector
@@ -99,8 +99,8 @@ template<class T> class Vector4: public Vector<4, T> {
          *
          * @see swizzle()
          */
-        inline Vector2<T>& xy() { return Vector2<T>::from(Vector<4, T>::data()); }
-        inline constexpr const Vector2<T> xy() const { return {x(), y()}; } /**< @overload */
+        Vector2<T>& xy() { return Vector2<T>::from(Vector<4, T>::data()); }
+        constexpr const Vector2<T> xy() const { return {x(), y()}; } /**< @overload */
 
         MAGNUM_VECTOR_SUBCLASS_IMPLEMENTATION(Vector4, 4)
 };