Standard library header <numeric>
This header is part of the numeric library.
Functions
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(C++11) | fills a range with successive increments of the starting value (function template) |
| sums up a range of elements (function template) |
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(C++17) | similar to std::accumulate, except out of order (function template) |
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(C++17) | applies a functor, then reduces out of order (function template) |
| computes the inner product of two ranges of elements (function template) |
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| computes the differences between adjacent elements in a range (function template) |
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| computes the partial sum of a range of elements (function template) |
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(C++17) | similar to std::partial_sum, includes the ith input element in the ith sum (function template) |
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(C++17) | similar to std::partial_sum, excludes the ith input element from the ith sum (function template) |
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(C++17) | applies a functor, then calculates inclusive scan (function template) |
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(C++17) | applies a functor, then calculates exclusive scan (function template) |
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(C++17) | constexpr function template returning the greatest common divisor of two integers (function template) |
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(C++17) | constexpr function template returning the least common multiple of two integers (function template) |
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(C++20) | midpoint between two numbers or pointers (function template) |
Synopsis
namespace std {
// accumulate
template<class InputIt, class T>
T accumulate(InputIt first, InputIt last, T init);
template<class InputIt, class T, class BinaryOperation>
T accumulate(InputIt first, InputIt last, T init, BinaryOperation binary_op);
// reduce
template<class InputIt>
typename iterator_traits<InputIt>::value_type
reduce(InputIt first, InputIt last);
template<class InputIt, class T>
T reduce(InputIt first, InputIt last, T init);
template<class InputIt, class T, class BinaryOperation>
T reduce(InputIt first, InputIt last, T init, BinaryOperation binary_op);
template<class ExecutionPolicy, class ForwardIt>
typename iterator_traits<ForwardIt>::value_type
reduce(ExecutionPolicy&& exec,
ForwardIt first, ForwardIt last);
template<class ExecutionPolicy, class ForwardIt, class T>
T reduce(ExecutionPolicy&& exec,
ForwardIt first, ForwardIt last, T init);
template<class ExecutionPolicy, class ForwardIt, class T, class BinaryOperation>
T reduce(ExecutionPolicy&& exec,
ForwardIt first, ForwardIt last, T init, BinaryOperation binary_op);
// inner product
template<class InputIt1, class InputIt2, class T>
T inner_product(InputIt1 first1, InputIt1 last1,
InputIt2 first2, T init);
template<class InputIt1, class InputIt2, class T,
class BinaryOperation1, class BinaryOperation2>
T inner_product(InputIt1 first1, InputIt1 last1,
InputIt2 first2, T init,
BinaryOperation1 binary_op1,
BinaryOperation2 binary_op2);
// transform reduce
template<class InputIt1, class InputIt2, class T>
T transform_reduce(InputIt1 first1, InputIt1 last1,
InputIt2 first2,
T init);
template<class InputIt1, class InputIt2, class T,
class BinaryOperation1, class BinaryOperation2>
T transform_reduce(InputIt1 first1, InputIt1 last1,
InputIt2 first2,
T init,
BinaryOperation1 binary_op1,
BinaryOperation2 binary_op2);
template<class InputIt, class T,
class BinaryOperation, class UnaryOperation>
T transform_reduce(InputIt first, InputIt last,
T init,
BinaryOperation binary_op, UnaryOperation unary_op);
template<class ExecutionPolicy,
class ForwardIt1, class ForwardIt2, class T>
T transform_reduce(ExecutionPolicy&& exec,
ForwardIt1 first1, ForwardIt1 last1,
ForwardIt2 first2,
T init);
template<class ExecutionPolicy,
class ForwardIt1, class ForwardIt2, class T,
class BinaryOperation1, class BinaryOperation2>
T transform_reduce(ExecutionPolicy&& exec,
ForwardIt1 first1, ForwardIt1 last1,
ForwardIt2 first2,
T init,
BinaryOperation1 binary_op1,
BinaryOperation2 binary_op2);
template<class ExecutionPolicy,
class ForwardIt, class T,
class BinaryOperation, class UnaryOperation>
T transform_reduce(ExecutionPolicy&& exec,
ForwardIt first, ForwardIt last,
T init,
BinaryOperation binary_op, UnaryOperation unary_op);
// partial sum
template<class InputIt, class OutputIt>
OutputIt partial_sum(InputIt first,
InputIt last,
OutputIt result);
template<class InputIt, class OutputIt, class BinaryOperation>
OutputIt partial_sum(InputIt first,
InputIt last,
OutputIt result,
BinaryOperation binary_op);
// exclusive scan
template<class InputIt, class OutputIt, class T>
OutputIt exclusive_scan(InputIt first, InputIt last,
OutputIt result,
T init);
template<class InputIt, class OutputIt, class T, class BinaryOperation>
OutputIt exclusive_scan(InputIt first, InputIt last,
OutputIt result,
T init, BinaryOperation binary_op);
template<class ExecutionPolicy, class ForwardIt1, class ForwardIt2, class T>
ForwardIt2 exclusive_scan(ExecutionPolicy&& exec,
ForwardIt1 first, ForwardIt1 last,
ForwardIt2 result,
T init);
template<class ExecutionPolicy, class ForwardIt1, class ForwardIt2, class T,
class BinaryOperation>
ForwardIt2 exclusive_scan(ExecutionPolicy&& exec,
ForwardIt1 first, ForwardIt1 last,
ForwardIt2 result,
T init, BinaryOperation binary_op);
// inclusive scan
template<class InputIt, class OutputIt>
OutputIt inclusive_scan(InputIt first, InputIt last, OutputIt result);
template<class InputIt, class OutputIt, class BinaryOperation>
OutputIt inclusive_scan(InputIt first, InputIt last,
OutputIt result,
BinaryOperation binary_op);
template<class InputIt, class OutputIt, class BinaryOperation, class T>
OutputIt inclusive_scan(InputIt first, InputIt last,
OutputIt result,
BinaryOperation binary_op, T init);
template<class ExecutionPolicy, class ForwardIt1, class ForwardIt2>
ForwardIt2 inclusive_scan(ExecutionPolicy&& exec,
ForwardIt1 first, ForwardIt1 last,
ForwardIt2 result);
template<class ExecutionPolicy, class ForwardIt1, class ForwardIt2,
class BinaryOperation>
ForwardIt2 inclusive_scan(ExecutionPolicy&& exec,
ForwardIt1 first, ForwardIt1 last,
ForwardIt2 result,
BinaryOperation binary_op);
template<class ExecutionPolicy, class ForwardIt1, class ForwardIt2,
class BinaryOperation, class T>
ForwardIt2 inclusive_scan(ExecutionPolicy&& exec,
ForwardIt1 first, ForwardIt1 last,
ForwardIt2 result,
BinaryOperation binary_op, T init);
// transform exclusive scan
template<class InputIt, class OutputIt, class T,
class BinaryOperation, class UnaryOperation>
OutputIt transform_exclusive_scan(InputIt first, InputIt last,
OutputIt result,
T init,
BinaryOperation binary_op,
UnaryOperation unary_op);
template<class ExecutionPolicy,
class ForwardIt1, class ForwardIt2, class T,
class BinaryOperation, class UnaryOperation>
ForwardIt2 transform_exclusive_scan(ExecutionPolicy&& exec,
ForwardIt1 first, ForwardIt1 last,
ForwardIt2 result,
T init,
BinaryOperation binary_op,
UnaryOperation unary_op);
// transform inclusive scan
template<class InputIt, class OutputIt,
class BinaryOperation, class UnaryOperation>
OutputIt transform_inclusive_scan(InputIt first, InputIt last,
OutputIt result,
BinaryOperation binary_op,
UnaryOperation unary_op);
template<class InputIt, class OutputIt,
class BinaryOperation, class UnaryOperation, class T>
OutputIt transform_inclusive_scan(InputIt first, InputIt last,
OutputIt result,
BinaryOperation binary_op,
UnaryOperation unary_op,
T init);
template<class ExecutionPolicy,
class ForwardIt1, class ForwardIt2,
class BinaryOperation, class UnaryOperation>
ForwardIt2 transform_inclusive_scan(ExecutionPolicy&& exec,
ForwardIt1 first, ForwardIt1 last,
ForwardIt2 result,
BinaryOperation binary_op,
UnaryOperation unary_op);
template<class ExecutionPolicy,
class ForwardIt1, class ForwardIt2,
class BinaryOperation, class UnaryOperation, class T>
ForwardIt2 transform_inclusive_scan(ExecutionPolicy&& exec,
ForwardIt1 first, ForwardIt1 last,
ForwardIt2 result,
BinaryOperation binary_op,
UnaryOperation unary_op,
T init);
// adjacent difference
template<class InputIt, class OutputIt>
OutputIt adjacent_difference(InputIt first, InputIt last,
OutputIt result);
template<class InputIt, class OutputIt, class BinaryOperation>
OutputIt adjacent_difference(InputIt first, InputIt last,
OutputIt result,
BinaryOperation binary_op);
template<class ExecutionPolicy, class ForwardIt1, class ForwardIt2>
ForwardIt2 adjacent_difference(ExecutionPolicy&& exec,
ForwardIt1 first, ForwardIt1 last,
ForwardIt2 result);
template<class ExecutionPolicy, class ForwardIt1, class ForwardIt2,
class BinaryOperation>
ForwardIt2 adjacent_difference(ExecutionPolicy&& exec,
ForwardIt1 first, ForwardIt1 last,
ForwardIt2 result,
BinaryOperation binary_op);
// iota
template<class ForwardIt, class T>
void iota(ForwardIt first, ForwardIt last, T value);
// greatest common divisor
template<class M, class N>
constexpr common_type_t<M, N> gcd(M m, N n);
// least common multiple
template<class M, class N>
constexpr common_type_t<M, N> lcm(M m, N n);
// midpoint
template<class T>
constexpr T midpoint(T a, T b) noexcept;
template<class T>
constexpr T* midpoint(T* a, T* b);
}
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