Я пытаюсь определить экспоненту волнового уравнения, которая равна e^(ik(x-ct))
. Для меня это ново, поэтому я пытаюсь понять массивы MP C с действительными и мнимыми числами, и что они значат. Я пытаюсь переписать код изначально в Matlab для Python.
ik*(x-ct)
равно:
array([[[mpc(real='0.0', imag='0.0'), mpc(real='0.0', imag='0.0'),
mpc(real='0.0', imag='0.0'), ..., mpc(real='0.0', imag='0.0'),
mpc(real='0.0', imag='0.0'), mpc(real='0.0', imag='0.0')],
[mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
...,
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868')],
[mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
...,
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174')],
...,
[mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
...,
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883')],
[mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
...,
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838')],
[mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
...,
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793')]],
[[mpc(real='0.0', imag='0.0'), mpc(real='0.0', imag='0.0'),
mpc(real='0.0', imag='0.0'), ..., mpc(real='0.0', imag='0.0'),
mpc(real='0.0', imag='0.0'), mpc(real='0.0', imag='0.0')],
[mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
...,
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868')],
[mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
...,
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174')],
...,
[mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
...,
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883')],
[mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
...,
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838')],
[mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
...,
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793')]],
[[mpc(real='0.0', imag='0.0'), mpc(real='0.0', imag='0.0'),
mpc(real='0.0', imag='0.0'), ..., mpc(real='0.0', imag='0.0'),
mpc(real='0.0', imag='0.0'), mpc(real='0.0', imag='0.0')],
[mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
...,
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868')],
[mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
...,
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174')],
...,
[mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
...,
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883')],
[mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
...,
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838')],
[mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
...,
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793')]],
...,
[[mpc(real='0.0', imag='0.0'), mpc(real='0.0', imag='0.0'),
mpc(real='0.0', imag='0.0'), ..., mpc(real='0.0', imag='0.0'),
mpc(real='0.0', imag='0.0'), mpc(real='0.0', imag='0.0')],
[mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
...,
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868')],
[mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
...,
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174')],
...,
[mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
...,
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883')],
[mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
...,
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838')],
[mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
...,
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793')]],
[[mpc(real='0.0', imag='0.0'), mpc(real='0.0', imag='0.0'),
mpc(real='0.0', imag='0.0'), ..., mpc(real='0.0', imag='0.0'),
mpc(real='0.0', imag='0.0'), mpc(real='0.0', imag='0.0')],
[mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
...,
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868')],
[mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
...,
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174')],
...,
[mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
...,
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883')],
[mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
...,
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838')],
[mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
...,
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793')]],
[[mpc(real='0.0', imag='0.0'), mpc(real='0.0', imag='0.0'),
mpc(real='0.0', imag='0.0'), ..., mpc(real='0.0', imag='0.0'),
mpc(real='0.0', imag='0.0'), mpc(real='0.0', imag='0.0')],
[mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
...,
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868'),
mpc(real='3.8473413874435805e-18', imag='0.062831853071795868')],
[mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
...,
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174'),
mpc(real='7.6946827748871609e-18', imag='0.12566370614359174')],
...,
[mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
...,
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883'),
mpc(real='5.6940652534164989e-16', imag='9.2991142546257883')],
[mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
...,
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838'),
mpc(real='5.7325386672909336e-16', imag='9.3619461076975838')],
[mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
...,
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793'),
mpc(real='5.7710120811653693e-16', imag='9.4247779607693793')]]],
dtype=object)
, но когда я пытаюсь взять экспоненту ik*(x-ct)
, появляется следующее сообщение об ошибке:
AttributeError Traceback (most recent call last)
AttributeError: 'mpc' object has no attribute 'exp'
The above exception was the direct cause of the following exception:
TypeError Traceback (most recent call last)
<ipython-input-29-d001448fd085> in <module>
----> 1 np.exp(i*k*(x - c*t))
TypeError: loop of ufunc does not support argument 0 of type mpc which has no callable exp method
Я все еще не понимаю, на что смотрю, поэтому не знаю, с чего начать. Любые рекомендации?