官方doc里面的代码运行不了，报错信息看不太明白，第一次提问，求大佬们帮助
https://symfit.readthedocs.io/en/stable/examples/ex_fourier_series.html
doc里面完全一样的代码，非常简单，用3阶傅立叶函数拟合一下曲线，运行一下很快。我是使用python3运行的
from symfit import parameters, variables, sin, cos, Fit
import numpy as np
import matplotlib.pyplot as plt
def fourier_series(x, f, n=0):
"""
Returns a symbolic fourier series of order `n`.
:param n: Order of the fourier series.
:param x: Independent variable
:param f: Frequency of the fourier series
"""
# Make the parameter objects for all the terms
a0, *cos_a = parameters(','.join(['a{}'.format(i) for i in range(0, n + 1)]))
sin_b = parameters(','.join(['b{}'.format(i) for i in range(1, n + 1)]))
# Construct the series
series = a0 + sum(ai * cos(i * f * x) + bi * sin(i * f * x)
for i, (ai, bi) in enumerate(zip(cos_a, sin_b), start=1))
return series
x, y = variables('x, y')
w, = parameters('w')
model_dict = {y: fourier_series(x, f=w, n=3)}
print(model_dict)
# Make step function data
xdata = np.linspace(-np.pi, np.pi)
ydata = np.zeros_like(xdata)
ydata[xdata > 0] = 1
# Define a Fit object for this model and data
fit = Fit(model_dict, x=xdata, y=ydata)
fit_result = fit.execute()
print(fit_result)
# Plot the result
plt.plot(xdata, ydata)
plt.plot(xdata, fit.model(x=xdata, **fit_result.params).y, ls=':')
plt.xlabel('x')
plt.ylabel('y')
plt.show()
报错信息如下：
---------------------------------------------------------------------------
AttributeError Traceback (most recent call last)
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/support.py in __get__(self, obj, objtype)
281 try:
--> 282 return getattr(obj, self.cache_attr)
283 except AttributeError:
AttributeError: 'Model' object has no attribute '_cached_jacobian_model'
During handling of the above exception, another exception occurred:
AttributeError Traceback (most recent call last)
<ipython-input-4-cf0c44a47642> in <module>()
29 # Define a Fit object for this model and data
30 fit = Fit(model_dict, x=xdata, y=ydata)
---> 31 fit_result = fit.execute()
32 print(fit_result)
33
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/fit.py in execute(self, **minimize_options)
577 :return: FitResults instance
578 """
--> 579 minimizer_ans = self.minimizer.execute(**minimize_options)
580 minimizer_ans.covariance_matrix = self.covariance_matrix(
581 dict(zip(self.model.params, minimizer_ans._popt))
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/support.py in wrapped_func(*args, **kwargs)
421 else:
422 bound_args.arguments[param.name] = param.default
--> 423 return func(*bound_args.args, **bound_args.kwargs)
424 return wrapped_func
425
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/minimizers.py in execute(self, **minimize_options)
408 if jacobian is None:
409 jacobian = self.wrapped_jacobian
--> 410 return super(ScipyGradientMinimize, self).execute(jacobian=jacobian, **minimize_options)
411
412 def scipy_constraints(self, constraints):
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/support.py in wrapped_func(*args, **kwargs)
421 else:
422 bound_args.arguments[param.name] = param.default
--> 423 return func(*bound_args.args, **bound_args.kwargs)
424 return wrapped_func
425
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/minimizers.py in execute(self, bounds, jacobian, hessian, constraints, **minimize_options)
353 jac=jacobian,
354 hess=hessian,
--> 355 **minimize_options
356 )
357 return self._pack_output(ans)
~/anaconda3/lib/python3.6/site-packages/scipy/optimize/_minimize.py in minimize(fun, x0, args, method, jac, hess, hessp, bounds, constraints, tol, callback, options)
595 return _minimize_cg(fun, x0, args, jac, callback, **options)
596 elif meth == 'bfgs':
--> 597 return _minimize_bfgs(fun, x0, args, jac, callback, **options)
598 elif meth == 'newton-cg':
599 return _minimize_newtoncg(fun, x0, args, jac, hess, hessp, callback,
~/anaconda3/lib/python3.6/site-packages/scipy/optimize/optimize.py in _minimize_bfgs(fun, x0, args, jac, callback, gtol, norm, eps, maxiter, disp, return_all, **unknown_options)
961 else:
962 grad_calls, myfprime = wrap_function(fprime, args)
--> 963 gfk = myfprime(x0)
964 k = 0
965 N = len(x0)
~/anaconda3/lib/python3.6/site-packages/scipy/optimize/optimize.py in function_wrapper(*wrapper_args)
291 def function_wrapper(*wrapper_args):
292 ncalls[0] += 1
--> 293 return function(*(wrapper_args + args))
294
295 return ncalls, function_wrapper
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/minimizers.py in resized(*args, **kwargs)
155 @wraps(func)
156 def resized(*args, **kwargs):
--> 157 out = func(*args, **kwargs)
158 # Make one dimensional, corresponding to a scalar function.
159 out = np.atleast_1d(np.squeeze(out))
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/objectives.py in eval_jacobian(self, ordered_parameters, **parameters)
337 )
338 evaluated_jac = super(LeastSquares, self).eval_jacobian(
--> 339 ordered_parameters, **parameters
340 )
341
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/objectives.py in eval_jacobian(self, ordered_parameters, **parameters)
195 parameters.update(dict(zip(self.model.free_params, ordered_parameters)))
196 parameters.update(self._invariant_kwargs)
--> 197 result = self.model.eval_jacobian(**key2str(parameters))._asdict()
198 # Return only the components corresponding to the dependent data.
199 return self._shape_of_dependent_data(
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/models.py in eval_jacobian(self, *args, **kwargs)
851 :return: Jacobian evaluated at the specified point.
852 """
--> 853 eval_jac_dict = self.jacobian_model(*args, **kwargs)._asdict()
854 # Take zero for component which are not present, happens for Constraints
855 jac = [[np.broadcast_to(eval_jac_dict.get(D(var, param), 0),
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/support.py in __get__(self, obj, objtype)
283 except AttributeError:
284 # Call the wrapped function with the obj instance as argument
--> 285 setattr(obj, self.cache_attr, self.fget(obj))
286 return getattr(obj, self.cache_attr)
287
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/models.py in jacobian_model(self)
825 @cached_property
826 def jacobian_model(self):
--> 827 jac_model = jacobian_from_model(self)
828 jac_model.params = self.params
829 return jac_model
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/models.py in jacobian_from_model(model, as_functions)
1252 jac.update({y: expr.subs(functions_as_vars, evaluate=False)
1253 for y, expr in model.items()})
-> 1254 jacobian_model = CallableModel(jac)
1255 return jacobian_model
1256
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/models.py in __init__(self, model)
122 # should be introduced to fulfill the same role.
123 model = {Variable(): expr for expr in model}
--> 124 self._init_from_dict(model)
125
126 @classmethod
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/models.py in _init_from_dict(self, model_dict)
648
649 def _init_from_dict(self, model_dict):
--> 650 super(BaseCallableModel, self)._init_from_dict(model_dict)
651 self.__signature__ = self._make_signature()
652
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/models.py in _init_from_dict(self, model_dict)
303 sort_func = lambda symbol: symbol.name
304 self.model_dict = OrderedDict(sorted(model_dict.items(),
--> 305 key=lambda i: sort_func(i[0])))
306 # Everything at the bottom of the toposort is independent, at the top
307 # dependent, and the rest interdependent.
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/models.py in <lambda>(i)
303 sort_func = lambda symbol: symbol.name
304 self.model_dict = OrderedDict(sorted(model_dict.items(),
--> 305 key=lambda i: sort_func(i[0])))
306 # Everything at the bottom of the toposort is independent, at the top
307 # dependent, and the rest interdependent.
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/models.py in <lambda>(symbol)
301 :param model_dict: dict of (dependent_var, expression) pairs.
302 """
--> 303 sort_func = lambda symbol: symbol.name
304 self.model_dict = OrderedDict(sorted(model_dict.items(),
305 key=lambda i: sort_func(i[0])))
~/software/ciao/ciao-4.11/ots/lib/python3.5/site-packages/symfit/core/support.py in name(self)
436 """
437 base_str = 'd{}{}_'.format(self.derivative_count if
--> 438 self.derivative_count > 1 else '', self.expr)
439 for var, count in self.variable_count:
440 base_str += 'd{}{}'.format(var, count if count > 1 else '')
AttributeError: 'Derivative' object has no attribute 'derivative_count'
谢谢大家的时间
