Python实现Incremental Area Under the Curve (iAUC)的自定义方法

我找到了实现增量曲线下面积（Incremental Area Under the Curve, iAUC）的方法，此前在全网搜索相关实现方案未果，因此自行尝试摸索出了如下实现方式。如果代码存在错误欢迎大家指出。

参数说明：

• 输入参数a：x值数组
• 输入参数b：与x值对应的y值数组

实现代码如下：

def areaUnderCurve(a, b):
    sum = 0
    for i in range(len(a)-1):
        if (b[i+1]-b[0]>=0) and (b[i]-b[0]>=0):
            temp = ((b[i]-b[0]+b[i+1]-b[0])/2)*(a[i+1]-a[i])
        elif (b[i+1]-b[0] < 0) and (b[i]-b[0] >= 0):
            temp = (b[i]-b[0])*((b[i]-b[0])/(b[i]-b[i+1])*(a[i+1]-a[i])/2)
        elif (b[i+1]-b[0] >= 0) and (b[i]-b[0] < 0):
            temp = (b[i+1]-b[0])*((b[i+1]-b[0])/(b[i+1]-b[i])*(a[i+1]-a[i])/2)
        elif (b[i]-b[0] < 0) and (b[i+1]-b[0] < 0):
            temp = 0
        sum = sum + temp
    return sum

内容的提问来源于stack exchange，提问作者supunvindula