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Showing content from https://morelinq.github.io/3.0/ref/api/html/M_MoreLinq_Extensions_ScanExtension_Scan__1.htm below:

ScanExtensionScanTSource Method (IEnumerableTSource, FuncTSource, TSource, TSource)

Peforms a scan (inclusive prefix sum) on a sequence of elements.

MoreLinq (in MoreLinq.dll) Version: 3.0.0

public static IEnumerable<TSource> Scan<TSource>(
	this IEnumerable<TSource> source,
	Func<TSource, TSource, TSource> transformation
)

<ExtensionAttribute>
Public Shared Function Scan(Of TSource) ( 
	source As IEnumerable(Of TSource),
	transformation As Func(Of TSource, TSource, TSource)
) As IEnumerable(Of TSource)

public:
[ExtensionAttribute]
generic<typename TSource>
static IEnumerable<TSource>^ Scan(
	IEnumerable<TSource>^ source, 
	Func<TSource, TSource, TSource>^ transformation
)

[<ExtensionAttribute>]
static member Scan : 
        source : IEnumerable<'TSource> * 
        transformation : Func<'TSource, 'TSource, 'TSource> -> IEnumerable<'TSource> 

source

Type: System.Collections.GenericIEnumerableTSource
Source sequence

transformation

Type: SystemFuncTSource, TSource, TSource
Transformation operation

TSource

Type of elements in source sequence

Type:

The scanned sequence

In Visual Basic and C#, you can call this method as an instance method on any object of type

. When you use instance method syntax to call this method, omit the first parameter. For more information, see

or

.

An inclusive prefix sum returns an equal-length sequence where the N-th element is the sum of the first N input elements. More generally, the scan allows any commutative binary operation, not just a sum. The exclusive version of Scan is

. This operator uses deferred execution and streams its result.

int[] values = { 1, 2, 3, 4 };
var prescan = values.PreScan((a, b) => a + b, 0);
var scan = values.Scan((a, b) => a + b);
var result = values.EquiZip(scan, ValueTuple.Create);

will yield

, while

and

will both yield

. This shows the relationship between the inclusive and exclusive prefix sum.

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