Threaded map function

sage.misc.map_threaded.map_threaded(function, sequence)

Apply the function to the elements in the sequence by threading recursively through all sub-sequences in the sequence.

EXAMPLES:

sage: # needs sage.symbolic
sage: map_threaded(log, [[1,2], [3,e]])
[[0, log(2)], [log(3), 1]]
sage: map_threaded(log, [(1,2), (3,e)])
[[0, log(2)], [log(3), 1]]
sage: map_threaded(N, [[1,2], [3,e]])
[[1.00000000000000, 2.00000000000000], [3.00000000000000, 2.71828182845905]]
sage: map_threaded((x^2).function(x), [[1,2,3,5], [2,10]])
[[1, 4, 9, 25], [4, 100]]

map_threaded also works on any object with an apply_map method, e.g., on matrices:

sage: map_threaded(lambda x: x^2, matrix([[1,2], [3,4]]))                       # needs sage.modules
[ 1  4]
[ 9 16]

AUTHORS:

• William Stein (2007-12); based on feedback from Peter Doyle.