ROOT::VecOps Namespace Reference

Classes
class	RVec
	A "std::vector"-like collection of values implementing handy operation to analyse them. More...
class	RVecN

Functions
template<typename T >
auto	All (const RVec< T > &v) -> decltype(v[0]==false)
	Return true if all of the elements equate to true, return false otherwise.
template<typename T >
auto	Any (const RVec< T > &v) -> decltype(v[0]==true)
	Return true if any of the elements equates to true, return false otherwise.
template<typename T >
std::size_t	ArgMax (const RVec< T > &v)
	Get the index of the greatest element of an RVec In case of multiple occurrences of the maximum values, the index corresponding to the first occurrence is returned.
template<typename T >
std::size_t	ArgMin (const RVec< T > &v)
	Get the index of the smallest element of an RVec In case of multiple occurrences of the minimum values, the index corresponding to the first occurrence is returned.
template<typename T >
RVec< typename RVec< T >::size_type >	Argsort (const RVec< T > &v)
	Return an RVec of indices that sort the input RVec.
template<typename T , typename Compare >
RVec< typename RVec< T >::size_type >	Argsort (const RVec< T > &v, Compare &&c)
	Return an RVec of indices that sort the input RVec based on a comparison function.
template<typename T , unsigned N>
size_t	CapacityInBytes (const RVecN< T, N > &X)
template<typename T >
RVec< RVec< typename RVec< T >::size_type > >	Combinations (const RVec< T > &v, const typename RVec< T >::size_type n)
	Return the indices that represent all unique combinations of the elements of a given RVec.
template<typename T1 , typename T2 >
RVec< RVec< typename RVec< T1 >::size_type > >	Combinations (const RVec< T1 > &v1, const RVec< T2 > &v2)
	Return the indices that represent all combinations of the elements of two RVecs.
RVec< RVec< std::size_t > >	Combinations (const std::size_t size1, const std::size_t size2)
	Return the indices that represent all combinations of the elements of two RVecs.
template<typename T0 , typename T1 , typename Common_t = typename std::common_type<T0, T1>::type>
RVec< Common_t >	Concatenate (const RVec< T0 > &v0, const RVec< T1 > &v1)
	Return the concatenation of two RVecs.
template<typename T , typename... Args_t>
RVec< T >	Construct (const RVec< Args_t > &... args)
	Build an RVec of objects starting from RVecs of input to their constructors.
template<typename T0 , typename T1 = T0, typename Common_t = typename std::common_type_t<T0, T1>>
RVec< Common_t >	DeltaPhi (const RVec< T0 > &v1, const RVec< T1 > &v2, const Common_t c=M_PI)
	Return the angle difference \(\Delta \phi\) in radians of two vectors.
template<typename T0 , typename T1 = T0, typename Common_t = typename std::common_type_t<T0, T1>>
RVec< Common_t >	DeltaPhi (const RVec< T0 > &v1, T1 v2, const Common_t c=M_PI)
	Return the angle difference \(\Delta \phi\) in radians of a vector and a scalar.
template<typename T0 , typename T1 = T0, typename Common_t = typename std::common_type_t<T0, T1>>
RVec< Common_t >	DeltaPhi (T0 v1, const RVec< T1 > &v2, const Common_t c=M_PI)
	Return the angle difference \(\Delta \phi\) in radians of a scalar and a vector.
template<typename T0 , typename T1 = T0, typename Common_t = std::common_type_t<T0, T1>>
Common_t	DeltaPhi (T0 v1, T1 v2, const Common_t c=M_PI)
	Return the angle difference \(\Delta \phi\) of two scalars.
template<typename T0 , typename T1 = T0, typename T2 = T0, typename T3 = T0, typename Common_t = std::common_type_t<T0, T1, T2, T3>>
RVec< Common_t >	DeltaR (const RVec< T0 > &eta1, const RVec< T1 > &eta2, const RVec< T2 > &phi1, const RVec< T3 > &phi2, const Common_t c=M_PI)
	Return the distance on the \(\eta\)- \(\phi\) plane ( \(\Delta R\)) from the collections eta1, eta2, phi1 and phi2.
template<typename T0 , typename T1 = T0, typename T2 = T0, typename T3 = T0, typename Common_t = std::common_type_t<T0, T1, T2, T3>>
Common_t	DeltaR (T0 eta1, T1 eta2, T2 phi1, T3 phi2, const Common_t c=M_PI)
	Return the distance on the \(\eta\)- \(\phi\) plane ( \(\Delta R\)) from the scalars eta1, eta2, phi1 and phi2.
template<typename T0 , typename T1 = T0, typename T2 = T0, typename T3 = T0, typename Common_t = std::common_type_t<T0, T1, T2, T3>>
RVec< Common_t >	DeltaR2 (const RVec< T0 > &eta1, const RVec< T1 > &eta2, const RVec< T2 > &phi1, const RVec< T3 > &phi2, const Common_t c=M_PI)
	Return the square of the distance on the \(\eta\)- \(\phi\) plane ( \(\Delta R\)) from the collections eta1, eta2, phi1 and phi2.
template<typename T , typename V >
auto	Dot (const RVec< T > &v0, const RVec< V > &v1) -> decltype(v0[0] *v1[0])
	Inner product.
template<typename T >
RVec< T >	Drop (const RVec< T > &v, RVec< typename RVec< T >::size_type > idxs)
	Return a copy of the container without the elements at the specified indices.
template<typename T >
RVec< typename RVec< T >::size_type >	Enumerate (const RVec< T > &v)
	For any Rvec v produce another RVec with entries starting from 0, and incrementing by 1 until a N = v.size() is reached.
template<typename T , typename F >
RVec< T >	Filter (const RVec< T > &v, F &&f)
	Create a new collection with the elements passing the filter expressed by the predicate.
template<typename T >
RVec< T >	Intersect (const RVec< T > &v1, const RVec< T > &v2, bool v2_is_sorted=false)
	Return the intersection of elements of two RVecs.
template<typename T0 , typename T1 = T0, typename T2 = T0, typename T3 = T0, typename Common_t = std::common_type_t<T0, T1, T2, T3>>
Common_t	InvariantMass (const RVec< T0 > &pt, const RVec< T1 > &eta, const RVec< T2 > &phi, const RVec< T3 > &mass)
	Return the invariant mass of multiple particles given the collections of the quantities transverse momentum (pt), rapidity (eta), azimuth (phi) and mass.
template<typename T0 , typename T1 = T0, typename T2 = T0, typename T3 = T0, typename T4 = T0, typename T5 = T0, typename T6 = T0, typename T7 = T0, typename Common_t = std::common_type_t<T0, T1, T2, T3, T4, T5, T6, T7>>
RVec< Common_t >	InvariantMasses (const RVec< T0 > &pt1, const RVec< T1 > &eta1, const RVec< T2 > &phi1, const RVec< T3 > &mass1, const RVec< T4 > &pt2, const RVec< T5 > &eta2, const RVec< T6 > &phi2, const RVec< T7 > &mass2)
	Return the invariant mass of two particles given the collections of the quantities transverse momentum (pt), rapidity (eta), azimuth (phi) and mass.
template<typename... Args>
auto	Map (Args &&... args)
	Create new collection applying a callable to the elements of the input collection.
template<typename T >
T	Max (const RVec< T > &v)
	Get the greatest element of an RVec.
template<typename T >
double	Mean (const RVec< T > &v)
	Get the mean of the elements of an RVec.
template<typename T , typename R = T>
R	Mean (const RVec< T > &v, const R zero)
	Get the mean of the elements of an RVec with custom initial value.
template<typename T >
T	Min (const RVec< T > &v)
	Get the smallest element of an RVec.
template<typename T >
RVec< typename RVec< T >::size_type >	Nonzero (const RVec< T > &v)
	Return the indices of the elements which are not zero.
template<class T >
std::ostream &	operator<< (std::ostream &os, const RVec< T > &v)
	Print a RVec at the prompt:
template<typename T >
T	Product (const RVec< T > &v, const T init=T(1))
	Return the product of the elements of the RVec.
RVec< long long int >	Range (long long int begin, long long int end, long long int stride)
	Allows for negative begin, end, and/or stride.
RVec< std::size_t >	Range (std::size_t begin, std::size_t end)
	Produce RVec with entries equal to begin, begin+1, ..., end-1.
RVec< std::size_t >	Range (std::size_t length)
	Produce RVec with entries starting from 0, and incrementing by 1 until a user-specified N is reached.
template<typename T >
RVec< T >	Reverse (const RVec< T > &v)
	Return copy of reversed vector.
template<typename T >
RVec< T >	Sort (const RVec< T > &v)
	Return copy of RVec with elements sorted in ascending order.
template<typename T , typename Compare >
RVec< T >	Sort (const RVec< T > &v, Compare &&c)
	Return copy of RVec with elements sorted based on a comparison operator.
template<typename T >
RVec< typename RVec< T >::size_type >	StableArgsort (const RVec< T > &v)
	Return an RVec of indices that sort the input RVec while keeping the order of equal elements.
template<typename T , typename Compare >
RVec< typename RVec< T >::size_type >	StableArgsort (const RVec< T > &v, Compare &&c)
	Return an RVec of indices that sort the input RVec based on a comparison function while keeping the order of equal elements.
template<typename T >
RVec< T >	StableSort (const RVec< T > &v)
	Return copy of RVec with elements sorted in ascending order while keeping the order of equal elements.
template<typename T , typename Compare >
RVec< T >	StableSort (const RVec< T > &v, Compare &&c)
	Return copy of RVec with elements sorted based on a comparison operator while keeping the order of equal elements.
template<typename T >
double	StdDev (const RVec< T > &v)
	Get the standard deviation of the elements of an RVec.
std::size_t	Sum (const RVec< bool > &v, std::size_t zero=0ul)
template<typename T >
T	Sum (const RVec< T > &v, const T zero=T(0))
	Sum elements of an RVec.
template<typename T >
void	swap (RVec< T > &lhs, RVec< T > &rhs)
template<typename T >
RVec< T >	Take (const RVec< T > &v, const int n)
	Return first n elements of an RVec if n > 0 and last n elements if n < 0.
template<typename T >
RVec< T >	Take (const RVec< T > &v, const int n, const T default_val)
	Return first n elements of an RVec if n > 0 and last n elements if n < 0.
template<typename T >
RVec< T >	Take (const RVec< T > &v, const RVec< typename RVec< T >::size_type > &i)
	Return elements of a vector at given indices.
template<typename T >
RVec< T >	Take (const RVec< T > &v, const RVec< typename RVec< T >::size_type > &i, const T default_val)
	Take version that defaults to (user-specified) output value if some index is out of range.
template<typename T >
double	Var (const RVec< T > &v)
	Get the variance of the elements of an RVec.
template<typename T >
RVec< T >	Where (const RVec< int > &c, const RVec< T > &v1, const RVec< T > &v2)
	Return the elements of v1 if the condition c is true and v2 if the condition c is false.
template<typename T >
RVec< T >	Where (const RVec< int > &c, const RVec< T > &v1, typename RVec< T >::value_type v2)
	Return the elements of v1 if the condition c is true and sets the value v2 if the condition c is false.
template<typename T >
RVec< T >	Where (const RVec< int > &c, T v1, T v2)
	Return a vector with the value v2 if the condition c is false and sets the value v1 if the condition c is true.
template<typename T >
RVec< T >	Where (const RVec< int > &c, typename RVec< T >::value_type v1, const RVec< T > &v2)
	Return the elements of v2 if the condition c is false and sets the value v1 if the condition c is true.
RVec Unary Arithmetic Operators
template<typename T >
RVec< T >	operator+ (const RVec< T > &v)
template<typename T >
RVec< T >	operator- (const RVec< T > &v)
template<typename T >
RVec< T >	operator~ (const RVec< T > &v)
template<typename T >
RVec< T >	operator! (const RVec< T > &v)
RVec Binary Arithmetic Operators
template<typename T0 , typename T1 >
auto	operator+ (const RVec< T0 > &v, const T1 &y) -> RVec< decltype(v[0]+y)>
template<typename T0 , typename T1 >
auto	operator+ (const T0 &x, const RVec< T1 > &v) -> RVec< decltype(x+v[0])>
template<typename T0 , typename T1 >
auto	operator+ (const RVec< T0 > &v0, const RVec< T1 > &v1) -> RVec< decltype(v0[0]+v1[0])>
template<typename T0 , typename T1 >
auto	operator- (const RVec< T0 > &v, const T1 &y) -> RVec< decltype(v[0] - y)>
template<typename T0 , typename T1 >
auto	operator- (const T0 &x, const RVec< T1 > &v) -> RVec< decltype(x - v[0])>
template<typename T0 , typename T1 >
auto	operator- (const RVec< T0 > &v0, const RVec< T1 > &v1) -> RVec< decltype(v0[0] - v1[0])>
template<typename T0 , typename T1 >
auto	operator* (const RVec< T0 > &v, const T1 &y) -> RVec< decltype(v[0] *y)>
template<typename T0 , typename T1 >
auto	operator* (const T0 &x, const RVec< T1 > &v) -> RVec< decltype(x *v[0])>
template<typename T0 , typename T1 >
auto	operator* (const RVec< T0 > &v0, const RVec< T1 > &v1) -> RVec< decltype(v0[0] *v1[0])>
template<typename T0 , typename T1 >
auto	operator/ (const RVec< T0 > &v, const T1 &y) -> RVec< decltype(v[0]/y)>
template<typename T0 , typename T1 >
auto	operator/ (const T0 &x, const RVec< T1 > &v) -> RVec< decltype(x/v[0])>
template<typename T0 , typename T1 >
auto	operator/ (const RVec< T0 > &v0, const RVec< T1 > &v1) -> RVec< decltype(v0[0]/v1[0])>
template<typename T0 , typename T1 >
auto	operator% (const RVec< T0 > &v, const T1 &y) -> RVec< decltype(v[0] % y)>
template<typename T0 , typename T1 >
auto	operator% (const T0 &x, const RVec< T1 > &v) -> RVec< decltype(x % v[0])>
template<typename T0 , typename T1 >
auto	operator% (const RVec< T0 > &v0, const RVec< T1 > &v1) -> RVec< decltype(v0[0] % v1[0])>
template<typename T0 , typename T1 >
auto	operator^ (const RVec< T0 > &v, const T1 &y) -> RVec< decltype(v[0] ^ y)>
template<typename T0 , typename T1 >
auto	operator^ (const T0 &x, const RVec< T1 > &v) -> RVec< decltype(x ^ v[0])>
template<typename T0 , typename T1 >
auto	operator^ (const RVec< T0 > &v0, const RVec< T1 > &v1) -> RVec< decltype(v0[0] ^ v1[0])>
template<typename T0 , typename T1 >
auto	operator| (const RVec< T0 > &v, const T1 &y) -> RVec< decltype(v[0]|y)>
template<typename T0 , typename T1 >
auto	operator| (const T0 &x, const RVec< T1 > &v) -> RVec< decltype(x|v[0])>
template<typename T0 , typename T1 >
auto	operator| (const RVec< T0 > &v0, const RVec< T1 > &v1) -> RVec< decltype(v0[0]|v1[0])>
template<typename T0 , typename T1 >
auto	operator& (const RVec< T0 > &v, const T1 &y) -> RVec< decltype(v[0] &y)>
template<typename T0 , typename T1 >
auto	operator& (const T0 &x, const RVec< T1 > &v) -> RVec< decltype(x &v[0])>
template<typename T0 , typename T1 >
auto	operator& (const RVec< T0 > &v0, const RVec< T1 > &v1) -> RVec< decltype(v0[0] &v1[0])>
RVec Assignment Arithmetic Operators
template<typename T0 , typename T1 >
RVec< T0 > &	operator+= (RVec< T0 > &v, const T1 &y)
template<typename T0 , typename T1 >
RVec< T0 > &	operator+= (RVec< T0 > &v0, const RVec< T1 > &v1)
template<typename T0 , typename T1 >
RVec< T0 > &	operator-= (RVec< T0 > &v, const T1 &y)
template<typename T0 , typename T1 >
RVec< T0 > &	operator-= (RVec< T0 > &v0, const RVec< T1 > &v1)
template<typename T0 , typename T1 >
RVec< T0 > &	operator*= (RVec< T0 > &v, const T1 &y)
template<typename T0 , typename T1 >
RVec< T0 > &	operator*= (RVec< T0 > &v0, const RVec< T1 > &v1)
template<typename T0 , typename T1 >
RVec< T0 > &	operator/= (RVec< T0 > &v, const T1 &y)
template<typename T0 , typename T1 >
RVec< T0 > &	operator/= (RVec< T0 > &v0, const RVec< T1 > &v1)
template<typename T0 , typename T1 >
RVec< T0 > &	operator%= (RVec< T0 > &v, const T1 &y)
template<typename T0 , typename T1 >
RVec< T0 > &	operator%= (RVec< T0 > &v0, const RVec< T1 > &v1)
template<typename T0 , typename T1 >
RVec< T0 > &	operator^= (RVec< T0 > &v, const T1 &y)
template<typename T0 , typename T1 >
RVec< T0 > &	operator^= (RVec< T0 > &v0, const RVec< T1 > &v1)
template<typename T0 , typename T1 >
RVec< T0 > &	operator|= (RVec< T0 > &v, const T1 &y)
template<typename T0 , typename T1 >
RVec< T0 > &	operator|= (RVec< T0 > &v0, const RVec< T1 > &v1)
template<typename T0 , typename T1 >
RVec< T0 > &	operator&= (RVec< T0 > &v, const T1 &y)
template<typename T0 , typename T1 >
RVec< T0 > &	operator&= (RVec< T0 > &v0, const RVec< T1 > &v1)
template<typename T0 , typename T1 >
RVec< T0 > &	operator>>= (RVec< T0 > &v, const T1 &y)
template<typename T0 , typename T1 >
RVec< T0 > &	operator>>= (RVec< T0 > &v0, const RVec< T1 > &v1)
template<typename T0 , typename T1 >
RVec< T0 > &	operator<<= (RVec< T0 > &v, const T1 &y)
template<typename T0 , typename T1 >
RVec< T0 > &	operator<<= (RVec< T0 > &v0, const RVec< T1 > &v1)
RVec Comparison and Logical Operators
template<typename T0 , typename T1 >
auto	operator< (const RVec< T0 > &v, const T1 &y) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator< (const T0 &x, const RVec< T1 > &v) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator< (const RVec< T0 > &v0, const RVec< T1 > &v1) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator> (const RVec< T0 > &v, const T1 &y) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator> (const T0 &x, const RVec< T1 > &v) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator> (const RVec< T0 > &v0, const RVec< T1 > &v1) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator== (const RVec< T0 > &v, const T1 &y) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator== (const T0 &x, const RVec< T1 > &v) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator== (const RVec< T0 > &v0, const RVec< T1 > &v1) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator!= (const RVec< T0 > &v, const T1 &y) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator!= (const T0 &x, const RVec< T1 > &v) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator!= (const RVec< T0 > &v0, const RVec< T1 > &v1) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator<= (const RVec< T0 > &v, const T1 &y) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator<= (const T0 &x, const RVec< T1 > &v) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator<= (const RVec< T0 > &v0, const RVec< T1 > &v1) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator>= (const RVec< T0 > &v, const T1 &y) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator>= (const T0 &x, const RVec< T1 > &v) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator>= (const RVec< T0 > &v0, const RVec< T1 > &v1) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator&& (const RVec< T0 > &v, const T1 &y) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator&& (const T0 &x, const RVec< T1 > &v) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator&& (const RVec< T0 > &v0, const RVec< T1 > &v1) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator|| (const RVec< T0 > &v, const T1 &y) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator|| (const T0 &x, const RVec< T1 > &v) -> RVec< int >
template<typename T0 , typename T1 >
auto	operator|| (const RVec< T0 > &v0, const RVec< T1 > &v1) -> RVec< int >
RVec Standard Mathematical Functions
template<typename T >
RVec< PromoteType< T > >	abs (const RVec< T > &v)
template<typename T0 , typename T1 >
RVec< PromoteTypes< T0, T1 > >	fdim (const T0 &x, const RVec< T1 > &v)
template<typename T0 , typename T1 >
RVec< PromoteTypes< T0, T1 > >	fdim (const RVec< T0 > &v, const T1 &y)
template<typename T0 , typename T1 >
RVec< PromoteTypes< T0, T1 > >	fdim (const RVec< T0 > &v0, const RVec< T1 > &v1)
template<typename T0 , typename T1 >
RVec< PromoteTypes< T0, T1 > >	fmod (const T0 &x, const RVec< T1 > &v)
template<typename T0 , typename T1 >
RVec< PromoteTypes< T0, T1 > >	fmod (const RVec< T0 > &v, const T1 &y)
template<typename T0 , typename T1 >
RVec< PromoteTypes< T0, T1 > >	fmod (const RVec< T0 > &v0, const RVec< T1 > &v1)
template<typename T0 , typename T1 >
RVec< PromoteTypes< T0, T1 > >	remainder (const T0 &x, const RVec< T1 > &v)
template<typename T0 , typename T1 >
RVec< PromoteTypes< T0, T1 > >	remainder (const RVec< T0 > &v, const T1 &y)
template<typename T0 , typename T1 >
RVec< PromoteTypes< T0, T1 > >	remainder (const RVec< T0 > &v0, const RVec< T1 > &v1)
template<typename T >
RVec< PromoteType< T > >	exp (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	exp2 (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	expm1 (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	log (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	log10 (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	log2 (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	log1p (const RVec< T > &v)
template<typename T0 , typename T1 >
RVec< PromoteTypes< T0, T1 > >	pow (const T0 &x, const RVec< T1 > &v)
template<typename T0 , typename T1 >
RVec< PromoteTypes< T0, T1 > >	pow (const RVec< T0 > &v, const T1 &y)
template<typename T0 , typename T1 >
RVec< PromoteTypes< T0, T1 > >	pow (const RVec< T0 > &v0, const RVec< T1 > &v1)
template<typename T >
RVec< PromoteType< T > >	sqrt (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	cbrt (const RVec< T > &v)
template<typename T0 , typename T1 >
RVec< PromoteTypes< T0, T1 > >	hypot (const T0 &x, const RVec< T1 > &v)
template<typename T0 , typename T1 >
RVec< PromoteTypes< T0, T1 > >	hypot (const RVec< T0 > &v, const T1 &y)
template<typename T0 , typename T1 >
RVec< PromoteTypes< T0, T1 > >	hypot (const RVec< T0 > &v0, const RVec< T1 > &v1)
template<typename T >
RVec< PromoteType< T > >	sin (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	cos (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	tan (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	asin (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	acos (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	atan (const RVec< T > &v)
template<typename T0 , typename T1 >
RVec< PromoteTypes< T0, T1 > >	atan2 (const T0 &x, const RVec< T1 > &v)
template<typename T0 , typename T1 >
RVec< PromoteTypes< T0, T1 > >	atan2 (const RVec< T0 > &v, const T1 &y)
template<typename T0 , typename T1 >
RVec< PromoteTypes< T0, T1 > >	atan2 (const RVec< T0 > &v0, const RVec< T1 > &v1)
template<typename T >
RVec< PromoteType< T > >	sinh (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	cosh (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	tanh (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	asinh (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	acosh (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	atanh (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	floor (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	ceil (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	trunc (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	round (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	lround (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	llround (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	erf (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	erfc (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	lgamma (const RVec< T > &v)
template<typename T >
RVec< PromoteType< T > >	tgamma (const RVec< T > &v)