我的函数不使用浮点数:- "TypeError('only size-1 arrays can be converted to Python scalars')"(我认为它有一个快速修复!)

My function does not take floats: - "TypeError('only size-1 arrays can be converted to Python scalars')" (I think it has a quick fix!)

我写了一段代码,在某个函数下用黎曼计算面积。它运行良好,但是当我将边界设置为十进制数时,出现错误。我想我应该告诉函数我希望能够输入浮点数,但我不知道该怎么做。我认为这是一个简单的解决方法,希望有人能帮助我:

import numpy as np
import math

def func(x):
    return x ** 2

def func1(x):
    return x ** (x +0.5)

def func2(x):
    return np.sin(x)

def func3(x):
    return np.sin(x ** 2)

def riemann(f,a,b,N):
    dx = (b-a)/N
    x_midpoint = np.linspace(dx/2,b - dx/2,N)
    riemann_sum = np.sum(f(x_midpoint) * dx)
    return riemann_sum

res = riemann(func,0,1,10000)
res1 = riemann(func1,0,1,10000)
res2 = riemann(func2,0,1,10000)
res3 = riemann(func3,0,1,10000)


print("Midpoint Riemann Sum:",res)
print("Midpoint Riemann Sum:",res1)
print("Midpoint Riemann Sum:",res2)
print("Midpoint Riemann Sum:",res3)

得到以下输出并且没有发现错误:

Midpoint Riemann Sum: 0.3333333325
Midpoint Riemann Sum: 0.527737838955
Midpoint Riemann Sum: 0.459697694323
Midpoint Riemann Sum: 0.310268301273

我们如何重现错误?

编辑:

使用 a 和 b 作为小数:

res = riemann(func,0.2,3.14,10000)
res1 = riemann(func1,0.2,3.14,10000)
res2 = riemann(func2,0.2,3.14,10000)
res3 = riemann(func3,0.2,3.14,10000)

输出:

Midpoint Riemann Sum: 9.66243875102
Midpoint Riemann Sum: 27.9239376537
Midpoint Riemann Sum: 1.87259837142
Midpoint Riemann Sum: 0.724064617658

仍然没有错误:/