Gauss-Legendre integration in Python的代码

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''' I = gaussQuad2(f,xc,yc,m).
    Gauss-Legendre integration of f(x,y) over a
    quadrilateral using integration order m.
    {xc},{yc} are the corner coordinates of the quadrilateral.
'''
from numpy import zeros,dot

def gaussQuad2(f,x,y,m):

    def jac(x,y,s,t):
        J = zeros((2,2))

    def map(x,y,s,t):
        N = zeros(4)
        xCoord = dot(N,x)
        yCoord = dot(N,y)
        return xCoord,yCoord

    s,A = gaussNodes(m)
    sum = 0.0
    for i in range(m):
        for j in range(m):
            xCoord,yCoord = map(x,y,s[i],s[j])
    return sum