Python numpy.polyint() 使用实例

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Example 1

def calc_omega(cp):
    cp.insert
    a=[]
    for i in range(len(cp)):
        ptmp = []
        tmp = 0
        for j in range(len(cp)):
            if j != i:
                row = []
                row.insert(0,1/(cp[i]-cp[j]))
                row.insert(1,-cp[j]/(cp[i]-cp[j]))
                ptmp.insert(tmp,row)
                tmp += 1
        p=[1]
        for j in range(len(cp)-1):
            p = conv(p,ptmp[j])
        pint = numpy.polyint(p)
        arow = []
        for j in range(len(cp)):
            arow.append(numpy.polyval(pint,cp[j]))
        a.append(arow)
    return a 

Example 2

def test_polyint_type(self):
        # Ticket #944
        msg = "Wrong type, should be complex"
        x = np.ones(3, dtype=np.complex)
        assert_(np.polyint(x).dtype == np.complex, msg)
        msg = "Wrong type, should be float"
        x = np.ones(3, dtype=np.int)
        assert_(np.polyint(x).dtype == np.float, msg) 

Example 3

def test_polyint_type(self):
        # Ticket #944
        msg = "Wrong type, should be complex"
        x = np.ones(3, dtype=np.complex)
        assert_(np.polyint(x).dtype == np.complex, msg)
        msg = "Wrong type, should be float"
        x = np.ones(3, dtype=np.int)
        assert_(np.polyint(x).dtype == np.float, msg) 

Example 4

def oscillation_indicator():
    """ Generate the oscillation indicator matrix
    """
    ? = zeros([N+1, N+1])
    for a in range(1,N+1):
        ?Dera = ?Der[a]
        for p, m in product(range(N+1), range(N+1)):
            antiderivative = polyint(?Dera[p] * ?Dera[m])
            ?[p,m] += antiderivative(1) - antiderivative(0)
    return ? 

Example 5

def basis_polys():
    """ Returns the basis polynomials and their derivatives and antiderivatives
    """
    nodes, _, _ = quad()
    ? = [lagrange(nodes,eye(N+1)[i]) for i in range(N+1)]
    ?Der = [[polyder(?_p, m=a) for ?_p in ?] for a in range(N+1)]
    ?Int = [polyint(?_p) for ?_p in ?]
    return ?, ?Der, ?Int 

Example 6

def test_polyint_type(self):
        # Ticket #944
        msg = "Wrong type, should be complex"
        x = np.ones(3, dtype=np.complex)
        assert_(np.polyint(x).dtype == np.complex, msg)
        msg = "Wrong type, should be float"
        x = np.ones(3, dtype=np.int)
        assert_(np.polyint(x).dtype == np.float, msg) 

Example 7

def test_polyint_type(self):
        # Ticket #944
        msg = "Wrong type, should be complex"
        x = np.ones(3, dtype=np.complex)
        assert_(np.polyint(x).dtype == np.complex, msg)
        msg = "Wrong type, should be float"
        x = np.ones(3, dtype=np.int)
        assert_(np.polyint(x).dtype == np.float, msg) 

Example 8

def test_polyint_type(self):
        # Ticket #944
        msg = "Wrong type, should be complex"
        x = np.ones(3, dtype=np.complex)
        assert_(np.polyint(x).dtype == np.complex, msg)
        msg = "Wrong type, should be float"
        x = np.ones(3, dtype=np.int)
        assert_(np.polyint(x).dtype == np.float, msg) 

Example 9

def test_polyint_type(self):
        # Ticket #944
        msg = "Wrong type, should be complex"
        x = np.ones(3, dtype=np.complex)
        assert_(np.polyint(x).dtype == np.complex, msg)
        msg = "Wrong type, should be float"
        x = np.ones(3, dtype=np.int)
        assert_(np.polyint(x).dtype == np.float, msg) 
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