这是您可以使用的可重用功能。它包括doctest和数据验证：
def bilinear_interpolation(x, y, points): '''Interpolate (x,y) from values associated with four points. The four points are a list of four triplets: (x, y, value). The four points can be in any order. They should form a rectangle. >>> bilinear_interpolation(12, 5.5, ... [(10, 4, 100), ... (20, 4, 200), ... (10, 6, 150), ... (20, 6, 300)]) 165.0 ''' # See formula at: http://en.wikipedia.org/wiki/Bilinear_interpolation points = sorted(points) # order points by x, then by y (x1, y1, q11), (_x1, y2, q12), (x2, _y1, q21), (_x2, _y2, q22) = points if x1 != _x1 or x2 != _x2 or y1 != _y1 or y2 != _y2: raise ValueError('points do not form a rectangle') if not x1 <= x <= x2 or not y1 <= y <= y2: raise ValueError('(x, y) not within the rectangle') return (q11 * (x2 - x) * (y2 - y) + q21 * (x - x1) * (y2 - y) + q12 * (x2 - x) * (y - y1) + q22 * (x - x1) * (y - y1)) / ((x2 - x1) * (y2 - y1) + 0.0)您可以通过添加以下内容来运行测试代码：
if __name__ == '__main__': import doctest doctest.testmod()
在数据集上运行插值将产生：
>>> n = [(54.5, 17.041667, 31.993), (54.5, 17.083333, 31.911), (54.458333, 17.041667, 31.945), (54.458333, 17.083333, 31.866), ]>>> bilinear_interpolation(54.4786674627, 17.0470721369, n)31.95798688313631
