PSVop Sieve pattern for arbitrary set operations of integer generators with point output


Part of: miSCellaneous


Inherits from: Psieve


Pattern for arbitrary set operations of integer generators with point output. 


See also: Sieves and Psieve patterns, Sieve, PSVunion, PSVunion_i, PSVunion_o, PSVunion_oi, PSVsect, PSVsect_i, PSVsect_o, PSVsect_oi, PSVsymdif, PSVsymdif_i, PSVsymdif_o, PSVsymdif_oi, PSVdif, PSVdif_i, PSVdif_o, PSVdif_oi, PSVop_i, PSVop_o, PSVop_oi 



Creation / Class Methods


*new (genList, op, difIndex, maxLength, limit)

Creates a new PSVop object.

genList - An array of generators. 

Allowed generators: Integers, Streams or Patterns producing intervals or Sieves itself.

Integers and Stream/Pattern output must be strictly positive. 

Integers as generators produce zero and its positive multiples.


op - One of the Symbols 'u', 's', 'sd', 'd' as abbreviations for set operations 'union',

'sect', 'symdif', 'dif' or a Pattern/Stream to produce such. Defaults to 'u'.


difIndex - Integer or a Pattern/Stream to produce such. 

Determines the generator from which will be subtracted in case of operation 'dif'.

Defaults to 0.


maxLength - Integer. Maximum number of items, which the stream will return.

Defaults to inf.


limit - Integer. Limit up to which integers can be returned by the stream.

If no limit is passed, returned integers might go up to default limit 65536.




Examples



// equivalent


x = PSVop([3, 5], \sd)

y = PSVsymdif([3, 5])


x.asStream.nextN(15)

y.asStream.nextN(15)



// sequencing of logical operations


p = PSVop([3, 3], Pseq([\u, \sd], inf))


p.asStream.nextN(15)



// specify difference


q = PSVop([2, 5], \d, 1)


q.asStream.nextN(100)



r = PSVop([2, 5], \d, 0)


r.asStream.nextN(100)