app/soc/logic/allocations.py
author Sverre Rabbelier <srabbelier@gmail.com>
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#!/usr/bin/python2.5
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#
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# Copyright 2009 the Melange authors.
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#
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# Licensed under the Apache License, Version 2.0 (the "License");
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# you may not use this file except in compliance with the License.
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# You may obtain a copy of the License at
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#
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#   http://www.apache.org/licenses/LICENSE-2.0
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#
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# Unless required by applicable law or agreed to in writing, software
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# distributed under the License is distributed on an "AS IS" BASIS,
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# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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# See the License for the specific language governing permissions and
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# limitations under the License.
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"""Slot allocation logic.
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"""
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__authors__ = [
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  '"Sverre Rabbelier" <sverre@rabbelier.nl>',
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  ]
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import math
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class Error(Exception):
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  """Error class for the Allocation module.
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  """
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  pass
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class Allocator(object):
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  """A simple student slots allocator.
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  The buildSets method is used to validate the allocation data as well as
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  construct the sets that the algorithm then uses to distribute the slots.
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  By separating these steps it is possible to write a different allocation
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  algorithm but re-use the sets and validation logic.
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  """
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  # I tried to write explicit code that does not require any
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  # additional comments (with the exception of the set notation for
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  # the convenience of any mathematicians that happen to read this
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  # piece of code ;).
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  def __init__(self, orgs, popularity, max, slots,
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               max_slots_per_org, min_slots_per_org, iterative):
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    """Initializes the allocator.
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    Args:
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      orgs: a list of all the orgs that need to be allocated
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      popularity: the amount of applications per org
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      mentors: the amount of assigned mentors per org
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      slots: the total amount of available slots
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      max_slots_per_org: how many slots an org should get at most
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      min_slots_per_org: how many slots an org should at least get
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    """
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    self.locked_slots = {}
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    self.adjusted_slots = {}
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    self.adjusted_orgs = []
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    self.locked_orgs = []
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    self.unlocked_orgs = []
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    self.unlocked_applications = []
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    self.slots = slots
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    self.max_slots_per_org = max_slots_per_org
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    self.min_slots_per_org = min_slots_per_org
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    self.orgs = set(orgs)
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    self.popularity = None
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    self.total_popularity = None
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    self.initial_popularity = popularity
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    self.max = max
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    self.iterative = iterative
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  def allocate(self, locked_slots):
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    """Allocates the slots and returns the result.
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    Args:
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      locked_slots: a dict with orgs and the number of slots they get
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      adjusted_slots: a dict with orgs and the number of extra slots they get
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    """
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    self.locked_slots = locked_slots
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    self.buildSets()
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    if not sum(self.popularity.values()) or not sum(self.max.values()):
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      return dict([(i, 0) for i in self.orgs])
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    if self.iterative:
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      return self.iterativeAllocation()
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    else:
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      return self.preprocessingAllocation()
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  def buildSets(self):
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    """Allocates slots with the specified constraints.
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    """
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    popularity = self.initial_popularity.copy()
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    # set s
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    locked_slots = self.locked_slots
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    # set a and b
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    locked_orgs = set(locked_slots.keys())
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    # set a' and b'
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    unlocked_orgs = self.orgs.difference(locked_orgs)
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    # a+o and b+o should be o
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    locked_orgs_or_orgs = self.orgs.union(locked_orgs)
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    total_popularity = sum(popularity.values())
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    # a+o should be o, testing length is enough though
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    if len(locked_orgs_or_orgs) != len(self.orgs):
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      raise Error("Unknown org as locked slot")
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    self.unlocked_orgs = unlocked_orgs
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    self.locked_orgs = locked_orgs
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    self.popularity = popularity
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    self.total_popularity = total_popularity
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  def rangeSlots(self, slots, org):
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    """Returns the amount of slots for the org within the required bounds.
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    """
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    slots = int(math.floor(float(slots)))
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    slots = min(slots, self.max_slots_per_org)
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    slots = max(slots, self.min_slots_per_org)
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    slots = min(slots, self.max[org])
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    return slots
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  def iterativeAllocation(self):
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    """A simple iterative algorithm.
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    """
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    adjusted_orgs = self.adjusted_orgs
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    adjusted_slots = self.adjusted_slots
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    locked_orgs = self.locked_orgs
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    locked_slots = self.locked_slots
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    unallocated_popularity = self.total_popularity - len(locked_slots)
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    available_slots = self.slots
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    allocations = {}
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    for org in self.orgs:
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      popularity = self.popularity[org]
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      mentors = self.mentors[org]
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      if org in locked_orgs:
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        slots = locked_slots[org]
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      elif unallocated_popularity:
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        weight = float(popularity) / float(unallocated_popularity)
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        slots = int(math.floor(weight*available_slots))
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      if org in adjusted_orgs:
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        slots += adjusted_slots[org]
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      slots = min(slots, self.max_slots_per_org)
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      slots = min(slots, mentors)
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      slots = min(slots, available_slots)
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      allocations[org] = slots
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      available_slots -= slots
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      unallocated_popularity -= popularity
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    return allocations
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  def preprocessingAllocation(self):
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    """An algorithm that pre-processes the input before running as normal.
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    """
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    adjusted_orgs = self.adjusted_orgs
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    adjusted_slots = self.adjusted_slots
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    locked_orgs = self.locked_orgs
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    locked_slots = self.locked_slots
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    unlocked_orgs = self.unlocked_orgs
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    total_popularity = self.total_popularity
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    available_slots = self.slots
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    allocations = {}
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    slack = {}
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    for org in locked_orgs:
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      popularity = self.popularity[org]
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      slots = locked_slots[org]
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      slots = self.rangeSlots(slots, org)
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      total_popularity -= popularity
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      available_slots -= slots
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      allocations[org] = slots
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      del self.popularity[org]
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    # adjust the orgs in need of adjusting
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    for org in adjusted_orgs:
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      slots = float(adjusted_slots[org])
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      adjustment = (float(total_popularity)/float(available_slots))*slots
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      adjustment = int(math.ceil(adjustment))
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      self.popularity[org] += adjustment
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      total_popularity += adjustment
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    # adjust the popularity so that the invariants are always met
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    for org in unlocked_orgs:
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      popularity = self.popularity[org]
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      # mentors = self.mentors[org]
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      slots = (float(popularity)/float(total_popularity))*available_slots
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      slots = self.rangeSlots(slots, org)
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      popularity = (float(total_popularity)/float(available_slots))*slots
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      self.popularity[org] = popularity
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    total_popularity = sum(self.popularity.values())
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    # do the actual calculation
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    for org in unlocked_orgs:
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      popularity = self.popularity[org]
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      raw_slots = (float(popularity)/float(total_popularity))*available_slots
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      slots = int(math.floor(raw_slots))
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      slack[org] = raw_slots - slots
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      allocations[org] = slots
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    slots_left = available_slots - sum(allocations.values())
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    # add leftover slots, sorted by slack, decending
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    for org, slack in sorted(slack.iteritems(), 
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        key=lambda (k, v): v, reverse=True):
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      if slots_left < 1:
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        break
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      current = allocations[org]
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      slots = self.rangeSlots(current + 1, org)
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      slots_left += slots - current
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      allocations[org] = slots
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    return allocations