def testFermat(self): assert series.fermat(0) == NULL assert series.fermat(1) == ONE assert series.fermat(2) == 3*x assert series.fermat(3) == 9*x**2 - 2 assert series.fermat(4) == 27*x**3 - 12*x assert series.fermat(5) == 81*x**4 - 54*x**2 + 4
def testLucasSequence(self): l = series.LucasSeq(x, ONE) l1 = series.LucasSeq(x, ONE, 'w') l2 = series.LucasSeq(2*x, ONE) l3 = series.LucasSeq(2*x, ONE, 'w') l4 = series.LucasSeq(ONE, 2*x) l5 = series.LucasSeq(ONE, 2*x, 'w') l6 = series.LucasSeq(3*x, -TWO) l7 = series.LucasSeq(3*x, -TWO, 'w') for n in xrange(10): if n > 0: l(n) == series.fibonacci(n) assert l1(n) == series.lucas(n) assert l2(n) == series.pell(n) assert l3(n) == series.pell_lucas(n) assert l4(n) == series.jacobsthal(n) assert l5(n) == series.jacob_lucas(n) assert l6(n) == series.fermat(n) assert l7(n) == series.fermat_lucas(n)