"""
>>> import numpy.core as nx
>>> from numpy.lib.polynomial import poly1d, polydiv

>>> p = poly1d([1.,2,3])
>>> p
poly1d([ 1.,  2.,  3.])
>>> print p
   2
1 x + 2 x + 3
>>> q = poly1d([3.,2,1])
>>> q
poly1d([ 3.,  2.,  1.])
>>> print q
   2
3 x + 2 x + 1

>>> p(0)
3.0
>>> p(5)
38.0
>>> q(0)
1.0
>>> q(5)
86.0

>>> p * q
poly1d([  3.,   8.,  14.,   8.,   3.])
>>> p / q
(poly1d([ 0.33333333]), poly1d([ 1.33333333,  2.66666667]))
>>> p + q
poly1d([ 4.,  4.,  4.])
>>> p - q
poly1d([-2.,  0.,  2.])
>>> p ** 4
poly1d([   1.,    8.,   36.,  104.,  214.,  312.,  324.,  216.,   81.])

>>> p(q)
poly1d([  9.,  12.,  16.,   8.,   6.])
>>> q(p)
poly1d([  3.,  12.,  32.,  40.,  34.])

>>> nx.asarray(p)
array([ 1.,  2.,  3.])
>>> len(p)
2

>>> p[0], p[1], p[2], p[3]
(3.0, 2.0, 1.0, 0)

>>> p.integ()
poly1d([ 0.33333333,  1.        ,  3.        ,  0.        ])
>>> p.integ(1)
poly1d([ 0.33333333,  1.        ,  3.        ,  0.        ])
>>> p.integ(5)
poly1d([ 0.00039683,  0.00277778,  0.025     ,  0.        ,  0.        ,
        0.        ,  0.        ,  0.        ])
>>> p.deriv()
poly1d([ 2.,  2.])
>>> p.deriv(2)
poly1d([ 2.])

>>> q = poly1d([1.,2,3], variable='y')
>>> print q
   2
1 y + 2 y + 3
>>> q = poly1d([1.,2,3], variable='lambda')
>>> print q
        2
1 lambda + 2 lambda + 3

>>> polydiv(poly1d([1,0,-1]), poly1d([1,1]))
(poly1d([ 1., -1.]), poly1d([ 0.]))
"""

from numpy.testing import *
import numpy as np

class TestDocs(NumpyTestCase):
    def check_doctests(self): return self.rundocs()

    def check_roots(self):
        assert_array_equal(np.roots([1,0,0]), [0,0])

    def check_str_leading_zeros(self):
        p = np.poly1d([4,3,2,1])
        p[3] = 0
        assert_equal(str(p),
                     "   2\n"
                     "3 x + 2 x + 1")

        p = np.poly1d([1,2])
        p[0] = 0
        p[1] = 0
        assert_equal(str(p), " \n0")

    def check_polyfit(self) :
        c = np.array([3., 2., 1.])
        x = np.linspace(0,2,5)
        y = np.polyval(c,x)
        # check 1D case
        assert_almost_equal(c, np.polyfit(x,y,2))
        # check 2D (n,1) case
        y = y[:,np.newaxis]
        c = c[:,np.newaxis]
        assert_almost_equal(c, np.polyfit(x,y,2))
        # check 2D (n,2) case
        yy = np.concatenate((y,y), axis=1)
        cc = np.concatenate((c,c), axis=1)
        assert_almost_equal(cc, np.polyfit(x,yy,2))

if __name__ == "__main__":
    NumpyTest().run()