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import numpy as np

class Kernel(object):
    @staticmethod
    def linear():
        def f(x, y):
            return np.inner(x, y)
        return f

    @staticmethod
    def rbf(gamma):
        def f(x, y):
            exponent = - gamma * np.linalg.norm(x-y) ** 2
            return np.exp(exponent)
        return f

    @staticmethod
    def _poly(dimension, offset=0.0, gamma=1.0):
        def f(x, y):
            return (gamma * (offset + np.dot(x, y)) )** dimension
        return f