Template shorthands, optimizers and constexpr data types. More...

Namespaces
	Crtp
	Curiously recurring template pattern classes.

	Floating
	Floating-point comparison helpers.

	Functor
	Functors for transformations.

	Optimization
	Functionality common to multiple optimizers.

	Traits
	Compile-time reflective trait objects.

	Tuples
	template metaprogramming metafunctions on tuple types

Data Structures
struct	Binding
	Type that will own rvalues, reference lvalues. More...

struct	BoundedNodeTrie
	Data structure to store chains of discrete choices with an finite range of choices at each position. More...

class	MinimalCache
	A minimal wrapper around a map class with cache semantics. More...

class	Cache

class	Array

struct	Bitmask

class	Bitset
	Constexpr bitset class. More...

class	BTree
	A constexpr B-Tree. More...

class	DynamicArray

class	DynamicMap
	A constexpr associative container with reasonably fast key-based lookup. More...

class	DynamicSet
	Tree-based set. More...

class	JSF
	General class enabling the construction of a pattern of PRNGs by Bob Jenkins. More...

struct	Generator
	Provides a seeded engine instance. More...

class	Optional
	An Option monadic type. More...

class	Optional< T & >

struct	Pair
	Heterogeneous pair type. More...

class	UpperTriangularMatrix
	Strictly upper triangular matrix. More...

struct	Vector
	Constexpr three-dimensional vector math class. More...

class	Lbfgs
	LBFGS optimizer with optional boxing. More...

struct	NelderMead
	Nelder-Mead optimization. More...

struct	NewtonRaphson
	A very basic newton-raphson minimizer. More...

struct	SO3NelderMead
	Nelder-Mead optimization on SO(3) manifold. More...

struct	TrustRegionOptimizer
	Trust region Newton-Raphson minimizer with 2D subspace minimization. More...

struct	OrderedPair
	A class that imitates std::pair<T, U>, but whose template arguments are homogeneous and the stored values ordered (.first < .second). More...

class	Poset
	Data structure for partially ordered sets with support for gradual ordering discovery. More...

class	StrongIndex
	Type helper for creating strong index types that are type-level distinct from their fundamental types. More...

class	StrongIndexFlatMap

struct	TinyUnorderedSet
	An adapter class for std::vector that acts like an unordered set and stores its data in the underlying vector in an unordered fashion. More...

struct	TinySet
	An adapter class for std::vector that acts like an ordered set and stores its data in the underlying vector in order. More...

Typedefs
using	JSF32na = JSF< uint32_t, 27, 17, 0 >

using	JSF32nb = JSF< uint32_t, 9, 16, 0 >

using	JSF32nc = JSF< uint32_t, 9, 24, 0 >

using	JSF32nd = JSF< uint32_t, 10, 16, 0 >

using	JSF32ne = JSF< uint32_t, 10, 24, 0 >

using	JSF32nf = JSF< uint32_t, 11, 16, 0 >

using	JSF32ng = JSF< uint32_t, 11, 24, 0 >

using	JSF32nh = JSF< uint32_t, 25, 8, 0 >

using	JSF32ni = JSF< uint32_t, 25, 16, 0 >

using	JSF32nj = JSF< uint32_t, 26, 8, 0 >

using	JSF32nk = JSF< uint32_t, 26, 16, 0 >

using	JSF32nl = JSF< uint32_t, 26, 17, 0 >

using	JSF32nm = JSF< uint32_t, 27, 16, 0 >

using	JSF32ra = JSF< uint32_t, 3, 14, 24 >

using	JSF32rb = JSF< uint32_t, 3, 25, 15 >

using	JSF32rc = JSF< uint32_t, 4, 15, 24 >

using	JSF32rd = JSF< uint32_t, 6, 16, 28 >

using	JSF32re = JSF< uint32_t, 7, 16, 27 >

using	JSF32rf = JSF< uint32_t, 8, 14, 3 >

using	JSF32rg = JSF< uint32_t, 11, 16, 23 >

using	JSF32rh = JSF< uint32_t, 12, 16, 22 >

using	JSF32ri = JSF< uint32_t, 12, 17, 23 >

using	JSF32rj = JSF< uint32_t, 13, 16, 22 >

using	JSF32rk = JSF< uint32_t, 15, 25, 3 >

using	JSF32rl = JSF< uint32_t, 16, 9, 3 >

using	JSF32rm = JSF< uint32_t, 17, 9, 3 >

using	JSF32rn = JSF< uint32_t, 17, 27, 7 >

using	JSF32ro = JSF< uint32_t, 19, 7, 3 >

using	JSF32rp = JSF< uint32_t, 23, 15, 11 >

using	JSF32rq = JSF< uint32_t, 23, 16, 11 >

using	JSF32rr = JSF< uint32_t, 23, 17, 11 >

using	JSF32rs = JSF< uint32_t, 24, 3, 16 >

using	JSF32rt = JSF< uint32_t, 24, 4, 16 >

using	JSF32ru = JSF< uint32_t, 25, 14, 3 >

using	JSF32rv = JSF< uint32_t, 27, 16, 6 >

using	JSF32rw = JSF< uint32_t, 27, 16, 7 >

using	JSF32n = JSF32na

using	JSF32r = JSF32rq

using	JSF32 = JSF32n

using	JSF64na = JSF< uint64_t, 39, 11, 0 >

using	JSF64ra = JSF< uint64_t, 7, 13, 37 >

using	JSF64n = JSF64na

using	JSF64r = JSF64ra

using	JSF64 = JSF64r

Functions
template<class Container , typename T >
void	addToContainer (Container &container, const T &value)
	Adds an lvalue element to a container by calling the container's insert or push_back member functions, if one of either exists.

template<class Container , typename T >
void	addToContainer (Container &container, T &&value)
	Adds an rvalue to a container by calling the container's emplace or emplace_back member functions, if one of either exists.

template<class TargetContainer , class SourceContainer , class SizeModifierUnary = Functor::Identity>
void	reserveIfPossible (TargetContainer &target, const SourceContainer &source, SizeModifierUnary &&sourceModifierUnary=SizeModifierUnary{})
	Rerves the space required in the target container if size can be determined from the source container. More...

template<typename T , typename... Tail>
constexpr auto	makeArray (T head, Tail...tail) -> Array< T, 1+sizeof...(Tail)>

template<typename EnumType >
constexpr Bitmask< EnumType >	make_bitmask (EnumType a)

template<template< typename, size_t > class ArrayType, typename T , size_t size, class UnaryFunction >
constexpr auto	map (const ArrayType< T, size > &array, UnaryFunction &&function)
	Maps all elements of any array-like container with a unary function. More...

template<template< typename, size_t > class ArrayType, typename T , size_t size, class BinaryFunction >
constexpr T	reduce (const ArrayType< T, size > &array, T init, BinaryFunction &&reduction)
	Reduce an array-like container with a binary function. More...

template<template< typename, size_t > class ArrayType, typename T , size_t size>
constexpr T	sum (const ArrayType< T, size > &array)
	Sum up all elements of an array-like class. More...

template<template< typename, size_t > class ArrayType, typename T , size_t size>
PURITY_STRONG constexpr std::enable_if_t < std::is_arithmetic< T > ::value, ArrayType< T, size >>	iota ()
	Iota for any array type.

template<template< typename, size_t > class ArrayType, typename T , size_t begin, size_t end>
constexpr ArrayType< T,(end-begin)>	range ()
	Range for any array type.

template<template< typename, size_t > class ArrayType, typename T , size_t N1, size_t N2>
constexpr ArrayType< T, N1+N2 >	arrayConcatenate (const ArrayType< T, N1 > &a, const ArrayType< T, N2 > &b)
	Concatenation of two instances of an array-like class.

template<template< typename, size_t > class ArrayType, typename T , size_t N, size_t... Ns>
constexpr auto	arrayConcatenate (const ArrayType< T, N > &startingArray, const ArrayType< T, Ns > &...remainingArrays)
	Variadic concatenation of multiple array-like class instances.

template<template< typename, size_t > class ArrayType, typename T , size_t size>
constexpr bool	arraysEqual (const ArrayType< T, size > &a, const ArrayType< T, size > &b)
	Array-like container lexicographic equality comparaotr. More...

template<template< typename, size_t > class ArrayType, typename T , size_t sizeA, size_t sizeB>
constexpr std::enable_if_t < sizeA==sizeB, bool >	arraysLess (const ArrayType< T, sizeA > &a, const ArrayType< T, sizeB > &b)
	Lexicographical comparison for two instances of an array-like class. More...

template<template< typename, std::size_t > class ArrayType, typename T , std::size_t N, class BinaryFunction >
constexpr DynamicArray < DynamicArray< T, N >, N >	groupByEquality (const ArrayType< T, N > &data, BinaryFunction &&equalityComparator)

template<typename T , std::size_t N>
DynamicArray< T, N >	merge (const DynamicArray< T, N > &a, const DynamicArray< T, N > &b)

template<size_t nItems, typename T , template< typename, size_t > class ArrayType, class LessThanPredicate = std::less<T>, class EqualityPredicate = std::equal_to<T>>
constexpr DynamicSet< T, nItems, LessThanPredicate >	makeDynamicSet (const ArrayType< T, nItems > &array)
	Helper function to create a DynamicSet specifying only the maximum size.

template<typename T >
constexpr bool	testLogicalOperators (const T &a, const T &b)
	For any two types, check consistency of their logical operators.

template<typename T >
constexpr bool	testOperatorSmaller (const T &a, const T &b)
	Limited variant of testLogicalOperators.

template<class ContainerType >
constexpr Traits::getValueType < ContainerType >	sum (const ContainerType &container)
	Summation with zero-initialization. More...

template<class ContainerType >
constexpr std::enable_if_t < std::is_floating_point < Traits::getValueType < ContainerType > >::value, Traits::getValueType < ContainerType >>	average (const ContainerType &container)

template<class ContainerType >
constexpr std::enable_if_t < !std::is_floating_point < Traits::getValueType < ContainerType > >::value, double >	average (const ContainerType &container)

template<class ContainerType >
constexpr std::enable_if_t < std::is_floating_point < Traits::getValueType < ContainerType > >::value, Traits::getValueType < ContainerType >>	geometricMean (const ContainerType &container)
	Geometric average of all values in a container. More...

template<class ContainerType , typename FloatingType >
constexpr std::enable_if_t < std::is_floating_point < FloatingType >::value, FloatingType >	stddev (const ContainerType &container, const FloatingType averageValue)
	Calculate the standard deviation of a container with a known average. More...

template<class ContainerType >
constexpr auto	stddev (const ContainerType &container)

template<class ContainerType >
constexpr auto	min (const ContainerType &container)
	Composable min_element function. Returns the smallest value of any container. More...

template<class ContainerType >
constexpr auto	max (const ContainerType &container)
	Composable max function. Returns the smallest value of any container. More...

template<typename T , size_t size>
std::array< T, size >	toSTL (const Array< T, size > &array)
	Converts an Array into a std::array.

template<typename T , size_t size>
std::vector< T >	toSTL (const DynamicArray< T, size > &dynamicArray)
	Converts a DynamicArray into a std::vector.

template<typename T , size_t size>
std::set< T >	toSTL (const DynamicSet< T, size > &dynamicSet)
	Converts a DynamicSet into a std::set.

template<template< typename, size_t > class ArrayType, typename ValueType , size_t size>
constexpr UpperTriangularMatrix < ValueType, size >	makeUpperTriangularMatrix (const ArrayType< ValueType, size > &data)
	Helper constructing function that deduces the required type signature.

PURITY_WEAK constexpr double	angle (const Vector &a, const Vector &b)
	Constexpr binary angle in radians calculation. More...

template<class Container , std::enable_if_t< Traits::hasSize< Container >::value, int > = 0>
auto	size (const Container &container)

template<class UnaryFunction , typename T , template< typename, typename...> class Container, template< typename > class... Dependents>
auto	map_stl (const Container< T, Dependents< T >...> &container, UnaryFunction &&function)

template<template< typename, std::size_t > class ArrayType, typename T , std::size_t size, class UnaryFunction >
auto	map_stl (const ArrayType< T, size > &container, UnaryFunction &&function)

template<template< typename, typename > class PairType, typename T , class UnaryFunction >
auto	map_stl (const PairType< T, T > &pair, UnaryFunction &&function)

template<class Container , class UnaryFunction >
auto	map (Container &&container, UnaryFunction &&function)
	Maps all values of a container using a unary function. Returns a vector. More...

template<class Pairlike , typename Unary >
auto	mapHomogeneousPairlike (Pairlike p, Unary &&f)

template<class Container , class Callable >
void	forEach (const Container &container, Callable &&callable)
	Apply a callable for all values of a container.

template<class Container , typename ComparisonFunction , typename MappingFunction >
Container::const_iterator	select (const Container &container, ComparisonFunction &&comparator, MappingFunction &&mapFunction)
	Select a value from a container. More...

template<class Container , typename T , class BinaryFunction >
T	accumulate (const Container &container, T init, BinaryFunction &&reductionFunction)
	Accumulate shorthand. More...

template<class Container , class UnaryPredicate = Functor::Identity>
bool	all_of (const Container &container, UnaryPredicate &&predicate=UnaryPredicate{})
	all_of shorthand More...

template<class Container , class UnaryPredicate = Functor::Identity>
bool	any_of (const Container &container, UnaryPredicate &&predicate=UnaryPredicate{})
	any_of shorthand More...

template<class Container >
void	sort (Container &container)
	Calls std::sort on a container.

template<class Container , typename Comparator >
void	sort (Container &container, Comparator &&comparator)
	Calls std::sort with a custom comparator on a container.

template<class Container >
void	reverse (Container &container)
	In-place reversal.

template<class Container , typename T >
void	remove (Container &container, const T &value)
	Applies erase-remove idiom in-place to container.

template<class Container , class UnaryFunction >
void	remove_if (Container &container, UnaryFunction &&predicate)
	Applies erase-remove idiom in-place to container with a predicate function.

template<class Container , class Predicate >
Container	copy_if (const Container &container, Predicate &&predicate)

template<class Container >
Container	sorted (Container container)

template<class Container , typename Comparator >
Container	sorted (Container container, Comparator &&comparator)

template<class Container , typename T >
auto	find (const Container &container, const T &needle)
	std::find shorthand

template<class Container , typename UnaryPredicate >
auto	find_if (const Container &container, UnaryPredicate &&predicate)
	std::find_if shorthand

template<typename T >
std::vector< T >	iota (unsigned upperBound)
	vector iota shorthand

template<class Container >
auto	makeContainsPredicate (const Container &container)
	Creates a predicate that uses std::find for the container's value type.

template<class Container , class UnaryFunction >
std::vector< std::vector < Traits::getValueType < Container > >>	groupByMapping (const Container &container, UnaryFunction &&function)

template<class Container , class BinaryFunction >
std::vector< std::vector < Traits::getValueType < Container > >>	groupByEquality (const Container &container, BinaryFunction &&compareEqual)

template<typename HT , typename TT , typename Function >
auto	invoke (Function &&function, const boost::tuples::cons< HT, TT > &tuple)
	Invokes a function with all values in a given boost tuple.

template<typename Function , typename TupleType , std::enable_if_t< Detail::isTupleCallable< Function, TupleType >::value, int > = 0>
auto	invoke (Function &&function, const TupleType &tuple)
	If a callable can be called by unpacking a supplied tuple of arguments, the tuple is called. More...

template<typename Fn , typename... Args, std::enable_if_t< !(sizeof...(Args)==1 &&Detail::isTupleCallable< Fn, Args...>::value)&&std::is_member_pointer< std::decay_t< Fn >>{}, int > = 0>
decltype(auto) constexpr	invoke (Fn &&f, Args &&...args) noexcept(noexcept(std::mem_fn(f)(std::forward< Args >(args)...)))
	If a callable is a member function pointer, invoke it with forwarded arguments. More...

template<typename Functor >
auto	make_tuple_callable (Functor &&functor)

template<typename Derived >
bool	positiveDefinite (const Eigen::MatrixBase< Derived > &matrix)
	Determine whether a matrix is positive definite. More...

template<typename Derived >
bool	positiveSemidefinite (const Eigen::MatrixBase< Derived > &matrix)
	Determine whether a matrix is positive semidefinite. More...

template<class Container >
std::size_t	permutationIndex (const Container &container)
	Calculate the index of permutation of elements in a container. More...

template<class Container >
bool	next_permutation (Container &container)
	Calls std::next_permutation.

template<class Container >
bool	prev_permutation (Container &container)
	Calls std::prev_permutation.

template<class Container >
bool	nextCombinationPermutation (Container &toPermute, const Container &limits)
	For when you have to implement variable-depth for loops, each with different limits. More...

template<typename T , template< typename > class Comparator, template< typename >class Allocator>
std::set< T, Comparator< T > , Allocator< T > >	set_intersection (const std::set< T, Comparator< T >, Allocator< T >> &a, const std::set< T, Comparator< T >, Allocator< T >> &b)

template<typename T , template< typename > class Comparator, template< typename >class Allocator>
std::set< T, Comparator< T > , Allocator< T > >	set_union (const std::set< T, Comparator< T >, Allocator< T >> &a, const std::set< T, Comparator< T >, Allocator< T >> &b)

template<typename T , template< typename > class Comparator, template< typename >class Allocator>
std::set< T, Comparator< T > , Allocator< T > >	set_symmetric_difference (const std::set< T, Comparator< T >, Allocator< T >> &a, const std::set< T, Comparator< T >, Allocator< T >> &b)

std::vector< std::string >	split (const std::string &s, char delimiter)

template<class Container >
std::enable_if_t < !std::is_same < Traits::getValueType < Container >, std::string > ::value, std::string >	condense (const Container &container, const std::string &joiningChar=",")

template<class Container >
std::enable_if_t< std::is_same < Traits::getValueType < Container >, std::string > ::value, std::string >	condense (const Container &container, const std::string &joiningChar=",")

std::string	stringify (const std::string &x)

template<typename T >
std::string	stringify (const boost::optional< T > &optional)

template<typename T >
std::enable_if_t< std::is_enum < T >::value, std::string >	stringify (const T &enumType)

template<typename T >
std::enable_if_t < std::is_arithmetic< T > ::value, std::string >	stringify (const T &a)

template<typename T , typename U >
std::string	stringify (const std::pair< T, U > &pair)

template<typename T >
std::string	stringify (const std::vector< T > &vec)

template<typename T , std::size_t size>
std::string	stringify (const std::array< T, size > &arr)

template<typename T >
std::string	stringify (const std::set< T > &set)

template<typename T >
std::string	stringify (const std::unordered_set< T > &set)

template<typename T >
std::string	stringify (const std::list< T > &list)

template<typename T >
std::string	stringify (const std::forward_list< T > &list)

template<typename T , typename U >
std::string	stringify (const std::map< T, U > &map)

template<typename T , typename U >
std::string	stringify (const std::unordered_map< T, U > &map)

template<typename... Ts>
std::string	stringify (const std::tuple< Ts...> &tuple)

template<typename T >
std::enable_if_t < Detail::isMapType< T > ::value, std::string >	stringifyMap (const T &map)

template<typename T >
std::string	stringifyContainer (const T &container)

template<typename Container , class ElementStringifier >
std::string	stringifyContainer (const Container &container, ElementStringifier &&stringifier)

template<typename TupleType , size_t... Inds>
std::string	stringifyTuple (const TupleType &tuple, std::index_sequence< Inds...>)

template<typename Tag , typename T >
std::size_t	hash_value (const StrongIndex< Tag, T > &v)
	Hash support function for strong index types. More...

template<class UnorderedSetContainer >
UnorderedSetContainer	unorderedSetSymmetricDifference (const UnorderedSetContainer &a, const UnorderedSetContainer &b)

template<class UnorderedSetContainer >
UnorderedSetContainer	unorderedSetDifference (const UnorderedSetContainer &a, const UnorderedSetContainer &b)

template<class UnorderedSetContainer >
UnorderedSetContainer	unorderedSetIntersection (const UnorderedSetContainer &a, const UnorderedSetContainer &b)

template<class UnorderedSetContainer >
UnorderedSetContainer	unorderedSetUnion (const UnorderedSetContainer &a, const UnorderedSetContainer &b)

Detailed Description

Template shorthands, optimizers and constexpr data types.

Function Documentation

template<class Container , typename T , class BinaryFunction >

T Scine::Molassembler::Temple::accumulate	(	const Container &	container,
		T	init,
		BinaryFunction &&	reductionFunction
	)

Accumulate shorthand.

Complexity \(\Theta(N)\)

template<class Container , class UnaryPredicate = Functor::Identity>

bool Scine::Molassembler::Temple::all_of	(	const Container &	container,
		UnaryPredicate &&	predicate = `UnaryPredicate {}`
	)

all_of shorthand

Complexity \(O(N)\)

PURITY_WEAK constexpr double Scine::Molassembler::Temple::angle	(	const Vector &	a,
		const Vector &	b
	)

Constexpr binary angle in radians calculation.

Complexity \(\Theta(1)\)

template<class Container , class UnaryPredicate = Functor::Identity>

bool Scine::Molassembler::Temple::any_of	(	const Container &	container,
		UnaryPredicate &&	predicate = `UnaryPredicate {}`
	)

any_of shorthand

Complexity \(O(N)\)

template<template< typename, size_t > class ArrayType, typename T , size_t size>

constexpr bool Scine::Molassembler::Temple::arraysEqual	(	const ArrayType< T, size > &	a,
		const ArrayType< T, size > &	b
	)

Array-like container lexicographic equality comparaotr.

Complexity \(O(N)\)

template<template< typename, size_t > class ArrayType, typename T , size_t sizeA, size_t sizeB>

constexpr std::enable_if_t< sizeA == sizeB, bool> Scine::Molassembler::Temple::arraysLess	(	const ArrayType< T, sizeA > &	a,
		const ArrayType< T, sizeB > &	b
	)

Lexicographical comparison for two instances of an array-like class.

Array-like container ordering comparator specialization for containers of equal size.

Complexity \(O(N)\)

template<class ContainerType >

constexpr std::enable_if_t< std::is_floating_point<Traits::getValueType<ContainerType> >::value, Traits::getValueType<ContainerType>> Scine::Molassembler::Temple::average ( const ContainerType & container )

Composable average function. Returns the average (always as a double) of any basic data type. An assert checks whether the function receives an empty container.

Container must implement begin, end and size members, the contained type must have operator+ and be convertible to double.

Complexity \(\Theta(N)\)

template<class ContainerType >

constexpr std::enable_if_t< !std::is_floating_point<Traits::getValueType<ContainerType> >::value, double> Scine::Molassembler::Temple::average ( const ContainerType & container )

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

template<class Container >

std::enable_if_t< !std::is_same< Traits::getValueType<Container>, std::string >::value, std::string> Scine::Molassembler::Temple::condense	(	const Container &	container,
		const std::string &	joiningChar = `","`
	)

Condenses an iterable container into a comma-separated string of string representations of its contents. Requires container iterators to satisfy ForwardIterators and the contained type to be a valid template argument for std::to_string, which in essence means this works only for (a few) STL containers and (most) built-in datatypes.

template<class ContainerType >

constexpr std::enable_if_t< std::is_floating_point<Traits::getValueType<ContainerType> >::value, Traits::getValueType<ContainerType>> Scine::Molassembler::Temple::geometricMean ( const ContainerType & container )

Geometric average of all values in a container.

Parameters

container Complexity \(\Theta(N)\)

template<class Container , class BinaryFunction >

std::vector< std::vector< Traits::getValueType<Container> >> Scine::Molassembler::Temple::groupByEquality	(	const Container &	container,
		BinaryFunction &&	compareEqual
	)

Split a container's values by a binary comparison function. Returns a ragged 2D vector.

Note: Requires that the equality comparison is symmetric and transitive!

template<template< typename, std::size_t > class ArrayType, typename T , std::size_t N, class BinaryFunction >

constexpr DynamicArray< DynamicArray<T, N>, N> Scine::Molassembler::Temple::groupByEquality	(	const ArrayType< T, N > &	data,
		BinaryFunction &&	equalityComparator
	)

Groups data by equality.

template<class Container , class UnaryFunction >

std::vector< std::vector< Traits::getValueType<Container> >> Scine::Molassembler::Temple::groupByMapping	(	const Container &	container,
		UnaryFunction &&	function
	)

Split a container's values by a mapping function whose return value elements are compared with. Matching mapped values are grouped and returned in a ragged 2D vector.

template<typename Tag , typename T >

std::size_t Scine::Molassembler::Temple::hash_value ( const StrongIndex< Tag, T > & v )

Hash support function for strong index types.

Allows the use of strong index types in unordered STL containers like so:

struct foo_tag;
using Foo = StrongIndex<foo_tag, unsigned>;
using UnorderedSetType = std::unordered_set<Foo, boost::hash<Foo>>;

template<typename Function , typename TupleType , std::enable_if_t< Detail::isTupleCallable< Function, TupleType >::value, int > = 0>

auto Scine::Molassembler::Temple::invoke	(	Function &&	function,
		const TupleType &	tuple
	)

If a callable can be called by unpacking a supplied tuple of arguments, the tuple is called.

Note: This function is SFINAE-friendly in that if TupleType isn't tuple-like or the function does not accept the unpacked arguments, this will only cause a substitution failure and not a compilation error.

template<typename Fn , typename... Args, std::enable_if_t< !(sizeof...(Args)==1 &&Detail::isTupleCallable< Fn, Args...>::value)&&std::is_member_pointer< std::decay_t< Fn >>{}, int > = 0>

decltype(auto) constexpr Scine::Molassembler::Temple::invoke	(	Fn &&	f,
		Args &&...	args
	)

noexcept

If a callable is a member function pointer, invoke it with forwarded arguments.

If a callable is not a member pointer, invoke it with forwarded arguments.

Note: This is the suggested C++17 std::invoke reference implementation from N4169, except with the additional SFINAE constraint that Fn may not be callable by unpacking a tuple-like singular argument in the parameter pack.

template<template< typename, size_t > class ArrayType, typename T , size_t size, class UnaryFunction >

constexpr auto Scine::Molassembler::Temple::map	(	const ArrayType< T, size > &	array,
		UnaryFunction &&	function
	)

Maps all elements of any array-like container with a unary function.

Complexity \(\Theta(N)\)

template<class Container , class UnaryFunction >

auto Scine::Molassembler::Temple::map	(	Container &&	container,
		UnaryFunction &&	function
	)

Maps all values of a container using a unary function. Returns a vector.

Complexity \(\Theta(N)\)

template<class UnaryFunction , typename T , template< typename, typename...> class Container, template< typename > class... Dependents>

auto Scine::Molassembler::Temple::map_stl	(	const Container< T, Dependents< T >...> &	container,
		UnaryFunction &&	function
	)

Maps the values in a container using a unary function.

Requires:

Container must have template parameters of the form: Container<ValueType, A<ValueType>, B<ValueType>, ...>, where zero dependent template parameters (A, B, ...) are also acceptable
Any dependent template parameters (A, B, ..) must be instantiable for the function return type.
Container implements begin and end forward iterators.
Container implements either insert, emplace, push_back or emplace_back
UnaryFunction must be unary and callable with Container's ValueType

Besides custom containers that fulfill the required criteria, this function should be valid for the following STL containers:

vector
deque
list, forward_list
set, multiset, unordered_set, unordered_multiset

Notably absent: array, map, multimap, unordered_multimap (some are covered by specializations below!)

Complexity \(\Theta(N)\)

template<template< typename, std::size_t > class ArrayType, typename T , std::size_t size, class UnaryFunction >

auto Scine::Molassembler::Temple::map_stl	(	const ArrayType< T, size > &	container,
		UnaryFunction &&	function
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

template<template< typename, typename > class PairType, typename T , class UnaryFunction >

auto Scine::Molassembler::Temple::map_stl	(	const PairType< T, T > &	pair,
		UnaryFunction &&	function
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

template<class ContainerType >

constexpr auto Scine::Molassembler::Temple::max ( const ContainerType & container )

Composable max function. Returns the smallest value of any container.

Container must implement begin, end iterators. The iterators must be copy-assignable. The contained type must implement operator <.

Complexity \(\Theta(N)\)

template<class ContainerType >

constexpr auto Scine::Molassembler::Temple::min ( const ContainerType & container )

Composable min_element function. Returns the smallest value of any container.

Container must implement begin, end iterators. The iterators must be copy-assignable. The contained type must implement operator <.

Complexity \(\Theta(N)\)

template<class Container >

bool Scine::Molassembler::Temple::nextCombinationPermutation	(	Container &	toPermute,
		const Container &	limits
	)

For when you have to implement variable-depth for loops, each with different limits.

Increments a container containing indices for each depth according to a const container containing the limits for each. Limits are exclusive!

E.g. for the limits 232, increments through the sequence 000 -> 001 -> 010 -> 011 -> 020 -> 021 -> 100 -> 101 -> 110 -> 111 -> 120 ...

Note: Requires that Container implements operator[](U), where U is implicitly convertible from unsigned.

Complexity \(\Theta(N)\)

template<class Container >

std::size_t Scine::Molassembler::Temple::permutationIndex ( const Container & container )

Calculate the index of permutation of elements in a container.

Complexity \(\Theta(N^2)\)

Note: Requires that Container implements operator[](U), where U is implicitly convertible from std::size_t.

template<typename Derived >

bool Scine::Molassembler::Temple::positiveDefinite ( const Eigen::MatrixBase< Derived > & matrix )

Determine whether a matrix is positive definite.

Precondition: matrix must be hermitian

Returns

template<typename Derived >

bool Scine::Molassembler::Temple::positiveSemidefinite ( const Eigen::MatrixBase< Derived > & matrix )

Determine whether a matrix is positive semidefinite.

Precondition: matrix must be hermitian

Returns

template<template< typename, size_t > class ArrayType, typename T , size_t size, class BinaryFunction >

constexpr T Scine::Molassembler::Temple::reduce	(	const ArrayType< T, size > &	array,
		T	init,
		BinaryFunction &&	reduction
	)

Reduce an array-like container with a binary function.

Reduction of any array-like container with a binary function. This function is somewhat restricted, in that the type of the reduction must be identical to the value type of the array-like container. The binary function must have the signature T(const T& reduction, const T& element).

Complexity \(\Theta(N)\)

template<class TargetContainer , class SourceContainer , class SizeModifierUnary = Functor::Identity>

void Scine::Molassembler::Temple::reserveIfPossible	(	TargetContainer &	target,
		const SourceContainer &	source,
		SizeModifierUnary &&	sourceModifierUnary = `SizeModifierUnary {}`
	)

Rerves the space required in the target container if size can be determined from the source container.

If the source container implements a size() const member and the target container implements a reserve() member, the target container reserves space according to the result of the source container size() call modified by the sourceModifierUnary.

Template Parameters

TargetContainer	the Container type in which space should be reserved
SourceContainer	The Container type whose size is used to calculate required size of the target
SizeModifierUnary	A unary callable type that transforms the type returned by SourceContainer.size(), if applicable

Parameters

target	The container in which space should be reserved
source	The container whose size should determined for reservation in the target
sourceModifierUnary	A unary function that transforms the size determined from the source container. This is for if you expect to generate more or less elements in the target container.

template<class Container , typename ComparisonFunction , typename MappingFunction >

Container::const_iterator Scine::Molassembler::Temple::select	(	const Container &	container,
		ComparisonFunction &&	comparator,
		MappingFunction &&	mapFunction
	)

Select a value from a container.

Template Parameters

Container	Container type
ComparisonFunction	Comparison between members of the value
MappingFunction	Map function from ValueType to ComparableType

Parameters

container	container with values
comparator	Comparator instance
mapFunction	Map function

Returns: An iterator to the value whose mapped value is smallest value according to the comparator

template<class ContainerType , typename FloatingType >

constexpr std::enable_if_t< std::is_floating_point<FloatingType>::value, FloatingType> Scine::Molassembler::Temple::stddev	(	const ContainerType &	container,
		const FloatingType	averageValue
	)

Calculate the standard deviation of a container with a known average.

Complexity \(\Theta(N)\)

template<class ContainerType >

constexpr auto Scine::Molassembler::Temple::stddev ( const ContainerType & container )

Calculates standard deviation without an existing average value

Container must implement begin, end and size members, the contained type must have operator+.

Complexity \(\Theta(2N)\)

template<class ContainerType >

constexpr Traits::getValueType<ContainerType> Scine::Molassembler::Temple::sum ( const ContainerType & container )

Summation with zero-initialization.

Composable sum function. Returns the type the container contains, assuming monadic behavior on operator + (value_type + value_type = value_type). Container must implement begin and end members.

Complexity \(\Theta(N)\)

template<template< typename, size_t > class ArrayType, typename T , size_t size>

constexpr T Scine::Molassembler::Temple::sum ( const ArrayType< T, size > & array )

Sum up all elements of an array-like class.

Summation of all elements of an array-like class. Requires operator + and zero-initialization of the contained type

Complexity \(\Theta(N)\)

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