问题
I am a python newbie. I am trying to evaluate Planck equation using python. I have written a simple program. But when I give input to it is giving me an error. can anyone hep me where I am going wrong? Here is the program and the error:
Program:
from __future__ import division
from sympy.physics.units import *
from math import *
import numpy
from scipy.interpolate import interp1d
#Planck's Law evaluation at a single wavelength and temperature
def planck_law(wavelength,temperature):
T=temperature
f=c/wavelength
h=planck
k=boltzmann
U=2*h/(c**3)*(f**3)/(exp(h*f/(k*T))-1)
return U.evalf()
Input: I have imported the function as 'cp' and the input is as follows
value = (cp.planck_law(400,2000))
Error:
Traceback (most recent call last):
File "<stdin>", line 1, in <module>`enter code here`
File "Camera_performance.py", line 14, in planck_law
U=2*h/(c**3)*(f**3)/(exp(h*f/(k*T))-1)
File "/usr/lib/python2.7/dist-packages/sympy/core/expr.py", line 221, in __float__
raise TypeError("can't convert expression to float")
TypeError: can't convert expression to float
回答1:
It seem like you are mixing namespaces, since your are using from ... import *. You wanted to use sympy.exp() but your code uses math.exp(). It is good practice to keep the namespaces separated, i.e. never use from ... import * - it might seem like more typing at first, but will produce much cleaner easier comprehensible code in the end.
Try:
import sympy as sy
import sympy.physics.units as units
def planck_law(wavelength,temperature):
"""Planck's Law evaluation at a single wavelength and temperature """
T=temperature
f=units.c/wavelength
h=units.planck
k=units.boltzmann
U=2*h/(units.c**3)*(f**3)/(sy.exp(h*f/(k*T))-1)
return U.evalf()
# Test:
print(planck_law(640e-9*units.m, 500*units.K))
# Result: 1.503553603007e-34*kg/(m*s)
回答2:
When you call your function, you need to pass units to the temperature and wavelength argument. Calling cp.planck_law(400*meters,2000*K) gives the expected 1.15133857387385e-33*kg/(m*s).
The problem arose with the exponential function, which, rightfully, expects to receive a dimensionless argument. Since the arguments you were passing did not include units, Sympy treated them as dimensionless floats, rather than a temperature and a length, as required.
回答3:
Your term h*f/(k*T) isn't unitless, so you cannot pass it to exp(). Doesn't make sense in a physical context, either ;-)
You can get a result if you divide it by K and m:
exp(h*f/(k*T)/K/m)
but that surely makes no sense. It's just to make the program run (into nonsense).
I guess you will have to check your formula and find out how you really want to compute the value you want to pass to exp().
EDIT:
As Pascal pointed out, you are just missing the units for the arguments you pass. Try it with:
planck_law(400e-9*m,2000*K)
Returns:
3.20224927538564e-22*kg/(m*s)
来源:https://stackoverflow.com/questions/22555056/typeerror-cant-convert-expression-to-float