def drawdown(pnl):
"""
calculate max drawdown and duration
Returns:
drawdown : vector of drawdwon values
duration : vector of drawdown duration
"""
cumret = pnl
highwatermark = [0]
idx = pnl.index
drawdown = pd.Series(index = idx)
drawdowndur = pd.Series(index = idx)
for t in range(1, len(idx)) :
highwatermark.append(max(highwatermark[t-1], cumret[t]))
drawdown[t]= (highwatermark[t]-cumret[t])
drawdowndur[t]= (0 if drawdown[t] == 0 else drawdowndur[t-1]+1)
return drawdown, drawdowndur
%timeit drawdown(spy)
1 loops, best of 3: 1.21 s per loop
Hmm 1.2 seconds is not too speedy for such a simple function.
There are some things here that could be a great drag to performance, such as a list *highwatermark* that is being appended on each loop iteration. Accessing Series by their index should also involve some processing that is not strictly necesarry.
Let's take a look at what happens when this function is rewritten to work with numpy data
def dd(s):
# ''' simple drawdown function '''
highwatermark = np.zeros(len(s))
drawdown = np.zeros(len(s))
drawdowndur = np.zeros(len(s))
for t in range(1,len(s)):
highwatermark[t] = max(highwatermark[t-1], s[t])
drawdown[t] = (highwatermark[t]-s[t])
drawdowndur[t]= (0 if drawdown[t] == 0 else drawdowndur[t-1]+1)
return drawdown , drawdowndur
%timeit dd(spy.values)
10 loops, best of 3: 27.9 ms per loop
Well, this is much faster than the original function, approximately 40x speed increase. Still there is much room for improvement by moving to compiled code with cython Now I rewrite the dd function from above, but using optimisation tips that I've found on the cython tutorial . Note that this is my first try ever at optimizing functions with Cython.
%%cython
import numpy as np
cimport numpy as np
DTYPE = np.float64
ctypedef np.float64_t DTYPE_t
cimport cython
@cython.boundscheck(False) # turn of bounds-checking for entire function
def dd_c(np.ndarray[DTYPE_t] s):
# ''' simple drawdown function '''
cdef np.ndarray[DTYPE_t] highwatermark = np.zeros(len(s),dtype=DTYPE)
cdef np.ndarray[DTYPE_t] drawdown = np.zeros(len(s),dtype=DTYPE)
cdef np.ndarray[DTYPE_t] drawdowndur = np.zeros(len(s),dtype=DTYPE)
cdef int t
for t in range(1,len(s)):
highwatermark[t] = max(highwatermark[t-1], s[t])
drawdown[t] = (highwatermark[t]-s[t])
drawdowndur[t]= (0 if drawdown[t] == 0 else drawdowndur[t-1]+1)
return drawdown , drawdowndur
%timeit dd_c(spy.values)
10000 loops, best of 3: 121 µs per loop
Wow, this version runs in 122 microseconds, making it ten thousand times faster than my original version!
I must say that I'm very impressed by what the Cython and IPython teams have achieved! The speed compared with ease of use is just awesome!P.S. I used to do code optimisations in Matlab using pure C and .mex wrapping, it was all just pain in the ass compared to this.
You can boost performance with PyPy instead of Cython. It works with pure Python code i.e. does not require code modifications for boosting. A disadvantage is that there are issues with numpy and scipy packages using PyPy.
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