A cool tool for functional programming. Funtions can be operated directly with definition domain that can be used in type testing
Project description
Introduction
Abstract
A cool tool for functional programming. Operating Functions as in math. Type testing is implemented in an awsome way.
Keywords
Functional Programming, Type Testing
Feature:
function with domain, the domain can be used to type testing
operator on functions, for example, f + g: x -> f(x) + g(x) where f, g, f+g are functions
to glue functions with glue function or method that can be used to define piecewise functions
no 3rd part requirement
implement memoization in oo way.
use MathFunction for math functions where keyword arguments are deprecated. (new in this version)
Content
Classes:
BaseFunction -> Type (or Domain), Function BaseFunction: func: function (or number) Function: func, domain: Type, the definition domain of func
Functions:
Interval(a:num, b:num) -> Type restrict(t:Type) -> decorator(f:function -> Function(f, t))
Constants:
TURE, FALSE(Type) represent universal set, empty set
Grammar
Basic grammar
import:
import fcool (or from fcool import *)
Define Function with domain:
F = Function(lambda x:x, Type(lambda x:x>2)) F(3)
Operators on Functions:
(F + F)(3) (F * F)(4) (2 * F)(3)
2D Functions and Types:
f = 3 # or lambda x,y: 3 g = lambda x,y: 2/x t = Type(lambda x:x<5 and isinstance(x, int)) * TRUE # define type(domain) and functions on it <=> Type(lambda x, y:x<5) & Type(lambda x, y:isinstance(x, int)) G = Function(g, t) F = Function(f, t)
Memoize:
f.memoize() # f is the object of BaseFunction f.unmemoize() # prohibit to use memo (memo is not deleted) f.del_memo() # just clear the memo, will update the memo in next time f.forget() # f.del_memo() and f.unmemoize()
Advanced Grammar
Glue Functions:
print(G.glue(F)(3,4), glue(G, F)(3,4)) # glue functions ID = Function(lambda x:x) print(ID.compose(F)(3,4)) # composition
Type testing with restrict decorator:
@restrict(Interval(1,2)) # restriction decorator def f(x): return x print(f(1)) try: print(f(3)) except Exception as ex: print(ex) G=Function(lambda x:x) print(G(3)) G = G | Interval(1,2) # restriction method print(G(3))
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