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Difference between revisions of "cpp/algorithm/exclusive scan"

From cppreference.com
< cpp‎ | algorithm
(adjust and rm hidden note (the off-by-one error has been fixed by LWG))
(p0467r2 (iterator categories for parallel algos))
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}}
 
}}
 
{{dcl | since=c++17 | num= 2 |1=
 
{{dcl | since=c++17 | num= 2 |1=
template< class ExecutionPolicy, class InputIt, class OutputIt, class T >
+
template< class ExecutionPolicy, class ForwardIt1, class ForwardIt2, class T >
OutputIt exclusive_scan( ExecutionPolicy&& policy, InputIt first, InputIt last,
+
ForwardIt2 exclusive_scan( ExecutionPolicy&& policy, ForwardIt1 first, ForwardIt1 last,
                        OutputIt d_first, T init);}}
+
                          ForwardIt2 d_first, T init);}}
 
{{dcl | since=c++17 | num= 3 |1=  
 
{{dcl | since=c++17 | num= 3 |1=  
 
template< class InputIt, class OutputIt,  
 
template< class InputIt, class OutputIt,  
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}}
 
}}
 
{{dcl | since=c++17 | num= 4 |1=
 
{{dcl | since=c++17 | num= 4 |1=
template< class ExecutionPolicy, class InputIt, class OutputIt,
+
template< class ExecutionPolicy, class ForwardIt1, class ForwardIt2,
 
           class T, class BinaryOperation >
 
           class T, class BinaryOperation >
OutputIt exclusive_scan( ExecutionPolicy&& policy, InputIt first, InputIt last,
+
ForwardIt2 exclusive_scan( ExecutionPolicy&& policy, ForwardIt1 first, ForwardIt1 last,
                        OutputIt d_first, T init, BinaryOperation binary_op );}}
+
                          ForwardIt2 d_first, T init, BinaryOperation binary_op );}}
 
{{dcl end}}
 
{{dcl end}}
  
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In other words, the summation operations may be performed in arbitrary order, and the behavior is nondeterministic if {{tt|binary_op}} is not associative.
 
In other words, the summation operations may be performed in arbitrary order, and the behavior is nondeterministic if {{tt|binary_op}} is not associative.
  
Overloads {{v|2,4}} are executed according to {{tt|policy}}. These overloads do not participate in overload resolution unless {{c|std::is_execution_policy_v<std::decay_t<ExecutionPolicy>>}} is true.
+
Overloads {{v|2,4}} are executed according to {{tt|policy}}. {{cpp/enable_if| {{c|std::is_execution_policy_v<std::decay_t<ExecutionPolicy>>}} is true.}}
  
 
{{tt|binary_op}} shall not invalidate iterators or subranges, nor modify elements in the ranges
 
{{tt|binary_op}} shall not invalidate iterators or subranges, nor modify elements in the ranges
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{{par req concept | InputIt | InputIterator}}
 
{{par req concept | InputIt | InputIterator}}
 
{{par req concept | OutputIt | OutputIterator}}
 
{{par req concept | OutputIt | OutputIterator}}
 +
{{par req concept | ForwardIt1, ForwardIt2 | ForwardIterator}}
 
{{par end}}
 
{{par end}}
  

Revision as of 11:47, 6 March 2017

 
 
Algorithm library
Constrained algorithms and algorithms on ranges (C++20)
Constrained algorithms, e.g. ranges::copy, ranges::sort, ...
Execution policies (C++17)
Non-modifying sequence operations
Batch operations
(C++17)
Search operations
(C++11)                (C++11)(C++11)

Modifying sequence operations
Copy operations
(C++11)
(C++11)
Swap operations
Transformation operations
Generation operations
Removing operations
Order-changing operations
(until C++17)(C++11)
(C++20)(C++20)
Sampling operations
(C++17)

Sorting and related operations
Partitioning operations
Sorting operations
Binary search operations
(on partitioned ranges)
Set operations (on sorted ranges)
Merge operations (on sorted ranges)
Heap operations
Minimum/maximum operations
(C++11)
(C++17)
Lexicographical comparison operations
Permutation operations
C library
Numeric operations
(C++17)   
exclusive_scan
(C++17)
Operations on uninitialized memory
 
Defined in header <numeric>
template< class InputIt, class OutputIt, class T >

OutputIt exclusive_scan( InputIt first, InputIt last,

                         OutputIt d_first, T init );
(1) (since C++17)
template< class ExecutionPolicy, class ForwardIt1, class ForwardIt2, class T >

ForwardIt2 exclusive_scan( ExecutionPolicy&& policy, ForwardIt1 first, ForwardIt1 last,

                           ForwardIt2 d_first, T init);
(2) (since C++17)
template< class InputIt, class OutputIt,

          class T, class BinaryOperation >
OutputIt exclusive_scan( InputIt first, InputIt last,

                         OutputIt d_first, T init, BinaryOperation binary_op );
(3) (since C++17)
template< class ExecutionPolicy, class ForwardIt1, class ForwardIt2,

          class T, class BinaryOperation >
ForwardIt2 exclusive_scan( ExecutionPolicy&& policy, ForwardIt1 first, ForwardIt1 last,

                           ForwardIt2 d_first, T init, BinaryOperation binary_op );
(4) (since C++17)

Computes an exclusive prefix sum operation using binary_op (or std::plus<>() for overloads (1-2)) for the range [first, last), using init as the initial value, and writes the results to the range beginning at d_first. "exclusive" means that the i-th input element is not included in the i-th sum.

Formally, assigns through each iterator i in [d_first, d_first + (last - first)) the value of the generalized noncommutative sum of init, *j... for every j in [first, first + (i - d_first)) over binary_op,

where generalized noncommutative sum GNSUM(op, a1, ..., aN) is defined as follows:

  • if N=1, a1
  • if N > 1, op(GNSUM(op, a1, ..., aK), GNSUM(op, aM, ..., aN)) for any K where 1 < K+1 = M ≤ N

In other words, the summation operations may be performed in arbitrary order, and the behavior is nondeterministic if binary_op is not associative.

Overloads (2,4) are executed according to policy. This overload participates in overload resolution only if std::is_execution_policy_v<std::decay_t<ExecutionPolicy>> is true.

binary_op shall not invalidate iterators or subranges, nor modify elements in the ranges [first, last) or [d_first, d_first + (last - first)). Otherwise, the behavior is undefined.

Contents

Parameters

first, last - the range of elements to sum
d_first - the beginning of the destination range; may be equal to first
policy - the execution policy to use. See execution policy for details.
init - the initial value
binary_op - binary Template:concept that will be applied in to the result of dereferencing the input iterators, the results of other binary_op, and init.
Type requirements

Template:par req concept Template:par req concept Template:par req concept

Return value

Iterator to the element past the last element written.

Complexity

O(last - first) applications of the binary operation

Exceptions

The overloads with a template parameter named ExecutionPolicy report errors as follows:

  • If execution of a function invoked as part of the algorithm throws an exception and ExecutionPolicy is one of the standard policies, std::terminate is called. For any other ExecutionPolicy, the behavior is implementation-defined.
  • If the algorithm fails to allocate memory, std::bad_alloc is thrown.

Example

See also

computes the differences between adjacent elements in a range
(function template) [edit]
sums up or folds a range of elements
(function template) [edit]
computes the partial sum of a range of elements
(function template) [edit]
applies an invocable, then calculates exclusive scan
(function template) [edit]
similar to std::partial_sum, includes the ith input element in the ith sum
(function template) [edit]