| Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/GAP/pkg/utils/lib/ (GAP Algebra Version 4.15.1©) Datei vom 11.8.2025 mit Größe 2 kB |
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Quelle number.gd Sprache: Shell |
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############################################################################## ## #W number.gd GAP4 package `Utils' Stefan Kohl ## #Y Copyright (C) 2015-2025, The GAP Group ############################################################################# ## this function has been transferred from RCWA ## #F NextProbablyPrimeInt( <n> ) . . next integer passing `IsProbablyPrimeInt' ## ## Returns the smallest integer larger than <n> which passes GAP's ## probabilistic primality test. ## ## The function `NextProbablyPrimeInt' does the same as `NextPrimeInt', ## except that for reasons of performance it tests numbers only for ## `IsProbablyPrimeInt' instead of `IsPrimeInt'. ## For large <n>, this function is much faster than `NextPrimeInt'. ## DeclareGlobalName( "NextProbablyPrimeInt" ); ############################################################################# ## this function has been transferred from RCWA ## #F AllSmoothIntegers( <maxp>, <maxn> ) ## ## Returns the set of all integers in the range [1..<maxn>] which have only ## prime divisors in the range [2..<maxp>]. ## DeclareGlobalName( "AllSmoothIntegers" ); ############################################################################# ## this function has been transferred from RCWA ## #F PrimeNumbersIterator( ) #F PrimeNumbersIterator( chunksize ) ## ## Iterator running through the prime numbers in ascending order. ## DeclareGlobalName( "PrimeNumbersIterator" ); ############################################################################# ## this function has been transferred from RCWA ## #F RestrictedPartitionsWithoutRepetitions( <n>, <S> ) ## ## Given a positive integer n and a set of positive integers S, this func- ## tion returns a list of all partitions of n into distinct elements of S. ## The only difference to `RestrictedPartitions' is that no repetitions are ## allowed. ## DeclareGlobalName( "RestrictedPartitionsWithoutRepetitions" ); ############################################################################# ## this function has been transferred from RCWA ## #O AllProducts( <D>, <k> ) . . all products of <k>-tuples of elements of <D> #M AllProducts( <l>, <k> ) . . . . . . . . . . . . . . . . . . . . for lists ## DeclareOperation( "AllProducts", [ IsListOrCollection, IsPosInt ] ); ############################################################################# ## #E number.gd . . . . . . . . . . . . . . . . . . . . . . . . . . . ends here
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2026-11-01