问题描述
我正在尝试在Cython中进行计算,而这些计算在很大程度上依赖于诸如numpy.log
之类的一些numpy/scipy数学函数.我注意到,如果我在Cython的循环中重复调用numpy/scipy函数,则会产生巨大的开销,例如:
I am trying to make calculations in Cython that rely heavily on some numpy/scipy mathematical functions like numpy.log
. I noticed that if I call numpy/scipy functions repeatedly in a loop in Cython, there are huge overhead costs, e.g.:
import numpy as np
cimport numpy as np
np.import_array()
cimport cython
def myloop(int num_elts):
cdef double value = 0
for n in xrange(num_elts):
# call numpy function
value = np.log(2)
这非常昂贵,大概是因为np.log
是通过Python而不是直接调用numpy C函数.如果我将该行替换为:
This is very expensive, presumably because np.log
goes through Python rather than calling the numpy C function directly. If I replace that line with:
from libc.math cimport log
...
# calling libc function 'log'
value = log(2)
然后它要快得多.但是,当我尝试将numpy数组传递给libc.math.log时:
then it's much faster. However, when I try to pass a numpy array to libc.math.log:
cdef np.ndarray[long, ndim=1] foo = np.array([1, 2, 3])
log(foo)
出现此错误:
TypeError: only length-1 arrays can be converted to Python scalars
我的问题是:
- 是否可以调用C函数并将其传递给numpy数组?还是只能将其用于标量值,这将需要我编写一个循环(例如,如果我想将其应用于上面的
foo
数组.) - 有没有类似的方法可以直接从C调用scipy函数,而又不增加Python开销?我该如何导入scipy的C函数库?
- Is it possible to call the C function and pass it a numpy array? Or can it only be used on scalar values, which would require me to write a loop (eg if I wanted to apply it to the
foo
array above.) - Is there an analogous way to call scipy functions from C directly without a Python overhead? Which how can I import scipy's C function library?
具体示例:假设您想在Cython的for
循环内的标量值上调用scipy或numpy的许多有用的统计函数(例如scipy.stats.*
)?在Cython中重新实现所有这些功能非常疯狂,因此必须调用其C版本.例如,与pdf/cdf相关的所有功能以及从各种统计分布中采样的所有功能(例如,请参见 http://docs.scipy.org/doc/scipy/reference/generation/scipy.stats.rv_continuous.pdf.html#scipy.stats.rv_continuous.pdf 和 http://www.johndcook.com/distributions_scipy.html )如果您在循环,速度会非常慢.
Concrete example: say you want to call many of scipy's or numpy's useful statistics functions (e.g. scipy.stats.*
) on scalar values inside a for
loop in Cython? It's crazy to reimplement all those functions in Cython, so their C versions have to be called. For example, all the functions related to pdf/cdf and sampling from various statistical distributions (e.g. see http://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.rv_continuous.pdf.html#scipy.stats.rv_continuous.pdf and http://www.johndcook.com/distributions_scipy.html) If you call these functions with Python overhead in a loop, it'll be prohibitively slow.
谢谢.
推荐答案
您无法应用C函数,例如登录numpy数组,并且numpy没有可从cython调用的C函数库.
You cannot apply C functions such as log on numpy arrays, and numpy does not have a C function library that you can call from cython.
Numpy函数已经过优化,可以在numpy数组上调用.除非您有一个非常独特的用例,否则将numpy函数重新实现为C函数不会有太大的好处. (numpy中的某些功能可能无法很好地实现,在某些情况下,请考虑将您的导入内容作为补丁提交.)但是,您确实提出了一个要点.
Numpy functions are already optimized to be called on numpy arrays. Unless you have a very unique use case, you're not going to see much benefit from reimplementing numpy functions as C functions. (It's possible that some functions in numpy are not implemented well, in chich case consider submitting your importations as patches.) However you do bring up a good point.
# A
from libc.math cimport log
for i in range(N):
r[i] = log(foo[i])
# B
r = np.log(foo)
# C
for i in range(n):
r[i] = np.log(foo[i])
通常,A和B的运行时间应该相似,但应避免使用C,并且运行速度会慢得多.
In general, A and B should have similar run times, but C should be avoided and will be much slower.
更新
这是scipy.stats.norm.pdf的代码,您可以看到它是用numpy和scipy调用以python编写的.该代码没有C版本,您必须将其称为通过python".如果这是使您退缩的原因,则需要将其重新植入C/Cython中,但是首先,我会花一些时间非常仔细地分析代码,以查看是否有其他需要解决的低挂水果.
Here is the code for scipy.stats.norm.pdf, as you can see it's written in python with numpy and scipy calls. There is no C version of this code, you have to call it "through python". If this is what is holding you back, you'll need to re-implant it in C/Cython, but first I would spend some time very carefully profiling the code to see if there are any lower hanging fruit to go after first.
def pdf(self,x,*args,**kwds):
loc,scale=map(kwds.get,['loc','scale'])
args, loc, scale = self._fix_loc_scale(args, loc, scale)
x,loc,scale = map(asarray,(x,loc,scale))
args = tuple(map(asarray,args))
x = asarray((x-loc)*1.0/scale)
cond0 = self._argcheck(*args) & (scale > 0)
cond1 = (scale > 0) & (x >= self.a) & (x <= self.b)
cond = cond0 & cond1
output = zeros(shape(cond),'d')
putmask(output,(1-cond0)+np.isnan(x),self.badvalue)
if any(cond):
goodargs = argsreduce(cond, *((x,)+args+(scale,)))
scale, goodargs = goodargs[-1], goodargs[:-1]
place(output,cond,self._pdf(*goodargs) / scale)
if output.ndim == 0:
return output[()]
return output
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