# # Copyright 2012 Quantopian, Inc. # # Licensed under the Apache License, Version 2.0 (the "License"); # you may not use this file except in compliance with the License. # You may obtain a copy of the License at # # http://www.apache.org/licenses/LICENSE-2.0 # # Unless required by applicable law or agreed to in writing, software # distributed under the License is distributed on an "AS IS" BASIS, # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # See the License for the specific language governing permissions and # limitations under the License. from numbers import Number from collections import defaultdict from math import sqrt from zipline.transforms.utils import EventWindow, TransformMeta class MovingStandardDev(object): """ Class that maintains a dictionary from sids to MovingStandardDevWindows. For each sid, we maintain a the standard deviation of all events falling within the specified window. """ __metaclass__ = TransformMeta def __init__(self, market_aware=True, window_length=None, delta=None): self.market_aware = market_aware self.delta = delta self.window_length = window_length # Market-aware mode only works with full-day windows. if self.market_aware: assert self.window_length and not self.delta,\ "Market-aware mode only works with full-day windows." # Non-market-aware mode requires a timedelta. else: assert self.delta and not self.window_length, \ "Non-market-aware mode requires a timedelta." # No way to pass arguments to the defaultdict factory, so we # need to define a method to generate the correct EventWindows. self.sid_windows = defaultdict(self.create_window) def create_window(self): """ Factory method for self.sid_windows. """ return MovingStandardDevWindow( self.market_aware, self.window_length, self.delta ) def update(self, event): """ Update the event window for this event's sid. Return an ndict from tracked fields to moving averages. """ # This will create a new EventWindow if this is the first # message for this sid. window = self.sid_windows[event.sid] window.update(event) return window.get_stddev() class MovingStandardDevWindow(EventWindow): """ Iteratively calculates standard deviation for a particular sid over a given time window. The expected functionality of this class is to be instantiated inside a MovingStandardDev. """ def __init__(self, market_aware=True, window_length=None, delta=None): # Call the superclass constructor to set up base EventWindow # infrastructure. EventWindow.__init__(self, market_aware, window_length, delta) self.sum = 0.0 self.sum_sqr = 0.0 def handle_add(self, event): assert isinstance(event.price, Number) self.sum += event.price self.sum_sqr += event.price ** 2 def handle_remove(self, event): assert isinstance(event.price, Number) self.sum -= event.price self.sum_sqr -= event.price ** 2 def get_stddev(self): # Sample standard deviation is undefined for a single event or # no events. if len(self) <= 1: return None else: average = self.sum / len(self) s_squared = (self.sum_sqr - self.sum * average) \ / (len(self) - 1) stddev = sqrt(s_squared) return stddev