combinatorial.py
from operator import mul, add, truth apply_each = lambda fns, args=[]: map(apply, fns, [args]*len(fns)) bools = lambda 1st: map(truth, 1st) bool_each = lambda fns, args=[]: bools(apply_each(fns, args)) conjoin = lambda fns, args=[]: reduce(mul, bool_each(fns, args)) all = lambda fns: lambda arg, fns=fns: conjoin(fns, (arg,)) both = lambda f,g: all((f,g)) all3 = lambda f,g,h: all((f,g,h)) and_ = lambda f,g: lambda x, f=f, g=g: f(x) and g(x) disjoin = lambda fns, args=[]: reduce(add, bool_each(fns, args)) some = lambda fns: lambda arg, fns=fns: disjoin(fns, (arg,)) either = lambda f,g: some((f,g)) anyof3 = lambda f,g,h: some((f,g,h)) compose = lambda f,g: lambda x, f=f, g=g: f(g(x)) compose3 = lambda f,g,h: lambda x, f=f, g=g, h=h: f(g(h(x))) ident = lambda x: x
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