我想将(z)和make(x)和(y)的函数集成为参数。我的目标是在不同的位置(x,y)得到积分的结果。在这种情况下,我应该得到16个积分值,它们对应于(x1,y1),(x1,y2)......,(x2, y1)......等等。 这是代码:
import numpy as np
import math
import scipy.integrate
a = 5
b = 6
xn=np.linspace(0,3,4)
yn=np.linspace(3,6,4)
x,y=np.ix_(xn,yn)
def fun(z,x,y):
model=(x**2/a**2+y**2/b**2+z**2/a**2)**0.5
#print(model)
return model
def int(x,y):
int=scipy.integrate.quad(fun,0,10,args=(x,y,))[0]
print (int)
return int
integral = int(x,y)
print (integral)
但我收到此错误消息:
....
int=scipy.integrate.quad(model,0,10,args=(x,y,))[0]
File "/opt/local/Library/Frameworks/Python.framework/Versions/3.3/lib/python3.3/site-
packages/scipy/integrate/quadpack.py", line 254, in quad
retval = _quad(func,a,b,args,full_output,epsabs,epsrel,limit,points)
File "/opt/local/Library/Frameworks/Python.framework/Versions/3.3/lib/python3.3/site-
packages/scipy/integrate/quadpack.py", line 319, in _quad
return _quadpack._qagse(func,a,b,args,full_output,epsabs,epsrel,limit)
quadpack.error: Supplied function does not return a valid float.
请有人告诉我如何修复此错误,并提前感谢您。
答案 0 :(得分:3)
如错误所示,您的fun
函数应返回float
,而是返回2D数组:
[[ 1.11803399 1.20185043 1.30170828 1.41421356]
[ 1.13578167 1.21837779 1.31698308 1.42828569]
[ 1.18743421 1.26666667 1.36177988 1.46969385]
[ 1.26885775 1.34329611 1.43333333 1.53622915]]
您正在集成的函数应在参数空间中的某个点评估为单个数字。
如果您尝试进行N维积分,可能需要查看scipy.integrate.nquad
。