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template<typename T , typename ... Ts, typename = typename std::enable_if<sizeof...(Ts)+1 == DIM>::type, typename = typename std::enable_if< are_convertible_to<Scalar, T, Ts...>::value>::type> |
constexpr | VectorT (T v, Ts... vs) |
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constexpr | VectorT () |
| default constructor creates uninitialized values.
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| VectorT (const Scalar &v) |
| Creates a vector with all components set to v.
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| VectorT (const VectorT &rhs)=default |
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| VectorT (VectorT &&rhs)=default |
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VectorT & | operator= (const VectorT &rhs)=default |
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VectorT & | operator= (VectorT &&rhs)=default |
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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 |
| Only for 4-component vectors with division operator on their Scalar: Dehomogenization.
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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
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| VectorT (container &&_array) |
| construct from an array
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template<typename otherScalarType , typename = typename std::enable_if< std::is_convertible<otherScalarType, Scalar>::value>> |
| VectorT (const VectorT< otherScalarType, DIM > &_rhs) |
| copy & cast constructor (explicit)
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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
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Scalar * | data () |
| access to Scalar array
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const Scalar * | data () const |
| access to const Scalar array
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Scalar & | operator[] (size_t _i) |
| get i'th element read-write
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const Scalar & | operator[] (size_t _i) const |
| get i'th element read-only
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bool | operator== (const vector_type &_rhs) const |
| component-wise comparison
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bool | operator!= (const vector_type &_rhs) const |
| component-wise comparison
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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vector_type | operator- (void) const |
| unary minus
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template<typename OtherScalar > |
auto | operator% (const VectorT< OtherScalar, DIM > &_rhs) const -> typename std::enable_if< DIM==3, VectorT< decltype((*this)[0] *_rhs[0] -(*this)[0] *_rhs[0]), DIM >>::type |
| cross product: only defined for Vec3* as specialization More...
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template<typename OtherScalar > |
auto | cross (const VectorT< OtherScalar, DIM > &_rhs) const -> decltype(*this % _rhs) |
| cross product: only defined for Vec3* as specialization More...
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template<typename OtherScalar > |
auto | operator| (const VectorT< OtherScalar, DIM > &_rhs) const -> decltype(*this->data() **_rhs.data()) |
| compute scalar product More...
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template<typename OtherScalar > |
auto | dot (const VectorT< OtherScalar, DIM > &_rhs) const -> decltype(*this|_rhs) |
| compute scalar product More...
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template<typename S = Scalar> |
decltype(std::declval< S >() *std::declval< S >()) | sqrnorm () const |
| compute squared euclidean norm
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template<typename S = Scalar> |
auto | norm () const -> decltype(std::sqrt(std::declval< VectorT< S, DIM >>().sqrnorm())) |
| compute euclidean norm
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template<typename S = Scalar> |
auto | length () const -> decltype(std::declval< VectorT< S, DIM >>().norm()) |
| compute squared euclidean norm
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template<typename S = Scalar> |
auto | normalize () -> decltype(*this/=std::declval< VectorT< S, DIM >>().norm()) |
| normalize vector, return normalized vector
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template<typename S = Scalar> |
auto | normalized () const -> decltype(*this/std::declval< VectorT< S, DIM >>().norm()) |
| return normalized vector
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vector_type &::type | normalize_cond () |
| compute squared euclidean norm
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Scalar | l1_norm () const |
| compute L1 (Manhattan) norm
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Scalar | l8_norm () const |
| compute l8_norm
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(Note that these are not member functions.)
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template<typename Scalar , int DIM> |
Scalar | dot (const VectorT< Scalar, DIM > &_v1, const VectorT< Scalar, DIM > &_v2) |
| symmetric version of the dot product
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template<typename LScalar , typename RScalar , int DIM> |
auto | cross (const VectorT< LScalar, DIM > &_v1, const VectorT< RScalar, DIM > &_v2) -> decltype(_v1 % _v2) |
| symmetric version of the cross product
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template<typename Scalar , int DIM> |
void | swap (VectorT< Scalar, DIM > &_v1, VectorT< Scalar, DIM > &_v2) noexcept(noexcept(_v1.swap(_v2))) |
| non-member swap
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template<typename Scalar , int DIM> |
Scalar | norm (const VectorT< Scalar, DIM > &_v) |
| non-member norm
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template<typename Scalar , int DIM> |
Scalar | sqrnorm (const VectorT< Scalar, DIM > &_v) |
| non-member sqrnorm
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template<typename Scalar , int DIM, typename OtherScalar > |
VectorT< Scalar, DIM > & | vectorize (VectorT< Scalar, DIM > &_v, OtherScalar const &_val) |
| non-member vectorize
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template<typename Scalar , int DIM> |
VectorT< Scalar, DIM > & | normalize (VectorT< Scalar, DIM > &_v) |
| non-member normalize
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template<typename Scalar , int DIM> |
VectorT< Scalar, DIM > & | maximize (VectorT< Scalar, DIM > &_v1, VectorT< Scalar, DIM > &_v2) |
| non-member maximize
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template<typename Scalar , int DIM> |
VectorT< Scalar, DIM > & | minimize (VectorT< Scalar, DIM > &_v1, VectorT< Scalar, DIM > &_v2) |
| non-member minimize
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template<typename Scalar , int DIM> |
VectorT< Scalar, DIM > | max (const VectorT< Scalar, DIM > &_v1, const VectorT< Scalar, DIM > &_v2) |
| non-member max
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template<typename Scalar , int DIM> |
VectorT< Scalar, DIM > | min (const VectorT< Scalar, DIM > &_v1, const VectorT< Scalar, DIM > &_v2) |
| non-member min
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static vector_type | vectorized (const Scalar &_s) |
| store the same value in each component
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Scalar | max () const |
| return the maximal component
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Scalar | max_abs () const |
| return the maximal absolute component
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Scalar | min () const |
| return the minimal component
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Scalar | min_abs () const |
| return the minimal absolute component
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Scalar | mean () const |
| return arithmetic mean
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Scalar | mean_abs () const |
| return absolute arithmetic mean
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vector_type & | minimize (const vector_type &_rhs) |
| minimize values: same as *this = min(*this, _rhs), but faster
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bool | minimized (const vector_type &_rhs) |
| minimize values and signalize coordinate minimization
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vector_type & | maximize (const vector_type &_rhs) |
| maximize values: same as *this = max(*this, _rhs), but faster
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bool | maximized (const vector_type &_rhs) |
| maximize values and signalize coordinate maximization
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vector_type | min (const vector_type &_rhs) const |
| component-wise min
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vector_type | max (const vector_type &_rhs) const |
| component-wise max
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template<typename Functor > |
vector_type | apply (const Functor &_func) const |
| component-wise apply function object with Scalar operator()(Scalar).
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vector_type & | vectorize (const Scalar &_s) |
| store the same value in each component (e.g. to clear all entries)
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bool | operator< (const vector_type &_rhs) const |
| lexicographical comparison
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void | swap (VectorT &_other) noexcept(noexcept(std::swap(values_, _other.values_))) |
| swap with another vector
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