Public Types | |
| typedef Scalar | value_type |
| the type of the scalar used in this template | |
| typedef VectorT< Scalar, DIM > | vector_type |
| type of this vector | |
Public Member Functions | |
| constexpr | VectorT () |
| default constructor creates uninitialized values. | |
| VectorT (const Scalar &v) | |
| template<typename... T, typename = typename std::enable_if<sizeof...(T) == DIM>::type, typename = typename std::enable_if< are_convertible_to<Scalar, T...>::value>::type> | |
| constexpr | VectorT (T...vs) |
| VectorT (const VectorT &rhs)=default | |
| VectorT (VectorT &&rhs)=default | |
| VectorT & | operator= (const VectorT &rhs)=default |
| VectorT & | operator= (VectorT &&rhs)=default |
| template<typename S = Scalar, int D = DIM> | |
| auto | homogenized () const -> typename std::enable_if< D==4, VectorT< decltype(std::declval< S >()/std::declval< S >()), DIM >>::type |
| template<typename Iterator , typename = decltype( *std::declval<Iterator&>(), void(), ++std::declval<Iterator&>(), void())> | |
| VectorT (Iterator it) | |
| construct from a value array or any other iterator | |
| template<typename otherScalarType , typename = typename std::enable_if< std::is_convertible<otherScalarType, Scalar>::value>> | |
| VectorT (const VectorT< otherScalarType, DIM > &_rhs) | |
| copy & cast constructor (explicit) | |
| template<typename OtherScalar , typename = typename std::enable_if< std::is_convertible<OtherScalar, Scalar>::value>> | |
| vector_type & | operator= (const VectorT< OtherScalar, DIM > &_rhs) |
| cast from vector with a different scalar type | |
| Scalar * | data () |
| access to Scalar array | |
| const Scalar * | data () const |
| access to const Scalar array | |
| Scalar & | operator[] (size_t _i) |
| get i'th element read-write | |
| const Scalar & | operator[] (size_t _i) const |
| get i'th element read-only | |
| bool | operator== (const vector_type &_rhs) const |
| component-wise comparison | |
| bool | operator!= (const vector_type &_rhs) const |
| component-wise comparison | |
| template<typename OtherScalar > | |
| auto | operator*= (const OtherScalar &_s) -> typename std::enable_if< std::is_convertible< decltype(this->values_[0]*_s), Scalar >::value, VectorT< Scalar, DIM > & >::type |
| component-wise self-multiplication with scalar | |
| template<typename OtherScalar > | |
| auto | operator/= (const OtherScalar &_s) -> typename std::enable_if< std::is_convertible< decltype(this->values_[0]/_s), Scalar >::value, VectorT< Scalar, DIM > & >::type |
| component-wise self-division by scalar | |
| template<typename OtherScalar > | |
| std::enable_if < std::is_convertible < decltype(std::declval < Scalar >)*std::declval < OtherScalar >)), Scalar > ::value, VectorT< Scalar, DIM > >::type | operator* (const OtherScalar &_s) const |
| component-wise multiplication with scalar | |
| template<typename OtherScalar > | |
| std::enable_if < std::is_convertible < decltype(std::declval < Scalar >)/std::declval < OtherScalar >)), Scalar > ::value, VectorT< Scalar, DIM > >::type | operator/ (const OtherScalar &_s) const |
| component-wise division by with scalar | |
| template<typename OtherScalar > | |
| auto | operator*= (const VectorT< OtherScalar, DIM > &_rhs) -> typename std::enable_if< sizeof(decltype(this->values_[0]**_rhs.data())) >=0 |
| component-wise self-multiplication | |
| template<typename OtherScalar > | |
| auto | operator/= (const VectorT< OtherScalar, DIM > &_rhs) -> typename std::enable_if< sizeof(decltype(this->values_[0]/*_rhs.data())) >=0 |
| component-wise self-division | |
| template<typename OtherScalar > | |
| auto | operator-= (const VectorT< OtherScalar, DIM > &_rhs) -> typename std::enable_if< sizeof(decltype(this->values_[0]-*_rhs.data())) >=0 |
| vector difference from this | |
| template<typename OtherScalar > | |
| auto | operator+= (const VectorT< OtherScalar, DIM > &_rhs) -> typename std::enable_if< sizeof(decltype(this->values_[0]+*_rhs.data())) >=0 |
| vector self-addition | |
| template<typename OtherScalar > | |
| auto | operator* (const VectorT< OtherScalar, DIM > &_rhs) const -> typename std::enable_if< sizeof(decltype(this->values_[0]**_rhs.data())) >=0 |
| component-wise vector multiplication | |
| template<typename OtherScalar > | |
| auto | operator/ (const VectorT< OtherScalar, DIM > &_rhs) const -> typename std::enable_if< sizeof(decltype(this->values_[0]/*_rhs.data())) >=0 |
| component-wise vector division | |
| template<typename OtherScalar > | |
| auto | operator+ (const VectorT< OtherScalar, DIM > &_rhs) const -> typename std::enable_if< sizeof(decltype(this->values_[0]+*_rhs.data())) >=0 |
| component-wise vector addition | |
| template<typename OtherScalar > | |
| auto | operator- (const VectorT< OtherScalar, DIM > &_rhs) const -> typename std::enable_if< sizeof(decltype(this->values_[0]-*_rhs.data())) >=0 |
| component-wise vector difference | |
| vector_type | operator- (void) const |
| unary minus | |
| template<typename OtherScalar > | |
| auto | operator% (const VectorT< OtherScalar, DIM > &_rhs) const -> typename std::enable_if< DIM==3, VectorT< decltype(this->values_[0]*_rhs[0]-this->values_[0]*_rhs[0]), DIM >>::type |
| template<typename OtherScalar > | |
| auto | operator| (const VectorT< OtherScalar, DIM > &_rhs) const -> decltype(*this->data()**_rhs.data()) |
| template<typename Functor > | |
| vector_type | apply (const Functor &_func) const |
| component-wise apply function object with Scalar operator()(Scalar). | |
| vector_type & | vectorize (const Scalar &_s) |
| store the same value in each component (e.g. to clear all entries) | |
| bool | operator< (const vector_type &_rhs) const |
| lexicographical comparison | |
| void | swap (VectorT &_other) noexcept(noexcept(std::swap(values_, _other.values_))) |
| swap with another vector | |
Euclidean norm calculations | |
| template<typename S = Scalar> | |
| decltype(std::declval< S > ()*std::declval< S >()) | sqrnorm () const |
| compute squared euclidean norm | |
| template<typename S = Scalar> | |
| auto | norm () const -> decltype(std::sqrt(std::declval< VectorT< S, DIM >>().sqrnorm())) |
| compute euclidean norm | |
| template<typename S = Scalar> | |
| auto | length () const -> decltype(std::declval< VectorT< S, DIM >>().norm()) |
| template<typename S = Scalar> | |
| auto | normalize () -> decltype(*this/=std::declval< VectorT< S, DIM >>().norm()) |
| template<typename S = Scalar> | |
| auto | normalized () const -> decltype(*this/std::declval< VectorT< S, DIM >>().norm()) |
| template<typename S = Scalar> | |
| vector_type &::type | normalize_cond () |
Non-Euclidean norm calculations | |
| Scalar | l1_norm () const |
| compute L1 (Manhattan) norm | |
| Scalar | l8_norm () const |
| compute l8_norm | |
Minimum maximum and mean | |
| Scalar | max () const |
| return the maximal component | |
| Scalar | max_abs () const |
| return the maximal absolute component | |
| Scalar | min () const |
| return the minimal component | |
| Scalar | min_abs () const |
| return the minimal absolute component | |
| Scalar | mean () const |
| return arithmetic mean | |
| Scalar | mean_abs () const |
| return absolute arithmetic mean | |
| vector_type & | minimize (const vector_type &_rhs) |
| minimize values: same as *this = min(*this, _rhs), but faster | |
| bool | minimized (const vector_type &_rhs) |
| minimize values and signalize coordinate minimization | |
| vector_type & | maximize (const vector_type &_rhs) |
| maximize values: same as *this = max(*this, _rhs), but faster | |
| bool | maximized (const vector_type &_rhs) |
| maximize values and signalize coordinate maximization | |
| vector_type | min (const vector_type &_rhs) const |
| component-wise min | |
| vector_type | max (const vector_type &_rhs) const |
| component-wise max | |
Static Public Member Functions | |
| static constexpr int | dim () |
| returns dimension of the vector (deprecated) | |
| static constexpr size_t | size () |
| returns dimension of the vector | |
| static vector_type | vectorized (const Scalar &_s) |
| store the same value in each component | |
Static Public Attributes | |
| static constexpr const size_t | size_ = DIM |
|
inlineexplicit |
Creates a vector with all components set to v.
|
inline |
Only for 4-component vectors with division operator on their Scalar: Dehomogenization.
|
inline |
normalize vector, return normalized vector
|
inline |
return normalized vector
|
inline |
cross product: only defined for Vec3* as specialization
|
inline |
compute scalar product