>>> from fracs import *

TESTS fraccio_reciproca

>>> import fractions
>>> x  = fractions.Fraction(7, 3)
>>> fraccio_reciproca(x)
Fraction(3, 7)
>>> fraccio_reciproca(fractions.Fraction(100, 1))
Fraction(1, 100)
>>> fraccio_reciproca(fractions.Fraction(12, 400))
Fraction(100, 3)

TESTS fraccio_mixta

>>> x = fractions.Fraction(7, 3)
>>> fraccio_mixta(x)
(2, Fraction(1, 3))
>>> fraccio_mixta(fractions.Fraction(2, 5))
(0, Fraction(2, 5))
>>> fraccio_mixta(fractions.Fraction(4, 2))
(2, Fraction(0, 1))

TESTS millor_aprox

>>> millor_aprox(0.3, [fractions.Fraction(1, 3), fractions.Fraction(2, 7)])
Fraction(2, 7)
>>> millor_aprox(3.1415926535897932, 
...  [fractions.Fraction(3, 1), fractions.Fraction(355, 113), fractions.Fraction(31416, 10000)])
Fraction(355, 113)

TESTS fr_positives

>>> lfr = [(-4, 8), (9, 2), (17, 4), (5, -2), (-27, -5), (99, 7), (-60, 4), (1, 6), (-3, 4), (3, 4), (46, 11), (67, 12)]
>>> itf = map(lambda x: fractions.Fraction(x[0], x[1]), lfr)
>>> itm = fr_positives(itf)
>>> next(itm)
(4, Fraction(1, 2))
>>> next(itm)
(4, Fraction(1, 4))
>>> list(itm)
[(5, Fraction(2, 5)), (14, Fraction(1, 7)), (0, Fraction(1, 6)), (0, Fraction(3, 4)), (4, Fraction(2, 11)), (5, Fraction(7, 12))]

TESTS seq_fraccions

>>> it = seq_fraccions(10)
>>> iter(it) == it
True
>>> list(it)
[Fraction(1, 10), Fraction(1, 5), Fraction(3, 10), Fraction(2, 5), Fraction(1, 2), Fraction(3, 5), Fraction(7, 10), Fraction(4, 5), Fraction(9, 10)]
>>> it = seq_fraccions(100)
>>> for i in range(80):
...    a = next(it)
>>> list(it)
[Fraction(81, 100), Fraction(41, 50), Fraction(83, 100), Fraction(21, 25), Fraction(17, 20), Fraction(43, 50), Fraction(87, 100), Fraction(22, 25), Fraction(89, 100), Fraction(9, 10), Fraction(91, 100), Fraction(23, 25), Fraction(93, 100), Fraction(47, 50), Fraction(19, 20), Fraction(24, 25), Fraction(97, 100), Fraction(49, 50), Fraction(99, 100)]