U 9%e @s\ddlmZddlmZGdddeZGdddeZGdddeZGd d d eZd S) ) Predicate) Dispatcherc@s eZdZdZdZedddZdS)PrimePredicatea Prime number predicate. Explanation =========== ``ask(Q.prime(x))`` is true iff ``x`` is a natural number greater than 1 that has no positive divisors other than ``1`` and the number itself. Examples ======== >>> from sympy import Q, ask >>> ask(Q.prime(0)) False >>> ask(Q.prime(1)) False >>> ask(Q.prime(2)) True >>> ask(Q.prime(20)) False >>> ask(Q.prime(-3)) False primeZ PrimeHandlerzHandler for key 'prime'. Test that an expression represents a prime number. When the expression is an exact number, the result (when True) is subject to the limitations of isprime() which is used to return the result.docN__name__ __module__ __qualname____doc__namerhandlerrrc/var/www/html/Darija-Ai-API/env/lib/python3.8/site-packages/sympy/assumptions/predicates/ntheory.pyrs rc@s eZdZdZdZedddZdS)CompositePredicatea Composite number predicate. Explanation =========== ``ask(Q.composite(x))`` is true iff ``x`` is a positive integer and has at least one positive divisor other than ``1`` and the number itself. Examples ======== >>> from sympy import Q, ask >>> ask(Q.composite(0)) False >>> ask(Q.composite(1)) False >>> ask(Q.composite(2)) False >>> ask(Q.composite(20)) True Z compositeZCompositeHandlerzHandler for key 'composite'.rNrrrrrr*src@s eZdZdZdZedddZdS) EvenPredicateaY Even number predicate. Explanation =========== ``ask(Q.even(x))`` is true iff ``x`` belongs to the set of even integers. Examples ======== >>> from sympy import Q, ask, pi >>> ask(Q.even(0)) True >>> ask(Q.even(2)) True >>> ask(Q.even(3)) False >>> ask(Q.even(pi)) False ZevenZ EvenHandlerzHandler for key 'even'.rNrrrrrrFsrc@s eZdZdZdZedddZdS) OddPredicateaN Odd number predicate. Explanation =========== ``ask(Q.odd(x))`` is true iff ``x`` belongs to the set of odd numbers. Examples ======== >>> from sympy import Q, ask, pi >>> ask(Q.odd(0)) False >>> ask(Q.odd(2)) False >>> ask(Q.odd(3)) True >>> ask(Q.odd(pi)) False ZoddZ OddHandlerzHHandler for key 'odd'. Test that an expression represents an odd number.rNrrrrrrbs rN)Zsympy.assumptionsrZsympy.multipledispatchrrrrrrrrrs  %