continue_cascade.py

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continue_cascade: Python Source Code

# ----------------------------------------------------------------------------
# imports
# ----------------------------------------------------------------------------
import math
import sys
import os
import copy
import time
import csv
import shutil
import dismod_at
from math import exp
#
# import at_cascade with a preference current directory version
current_directory = os.getcwd()
if os.path.isfile( current_directory + '/at_cascade/__init__.py' ) :
   sys.path.insert(0, current_directory)
import at_cascade
# -----------------------------------------------------------------------------
# global variables
# -----------------------------------------------------------------------------
# BEGIN fit_goal_set
first_fit_goal_set  = { 'n3', 'n4', 'n2' }
second_fit_goal_set = { 'n5', 'n6' }
# END fit_goal_set
# BEGIN option_all
option_all  = {
   'result_dir':     'build/example',
   'root_node_name': 'n0',
   'max_number_cpu':  '2',
}
option_all['root_database'] = option_all['result_dir'] + '/root.db'
# END option_all
# ----------------------------------------------------------------------------
# functions
# ----------------------------------------------------------------------------
# BEGIN rate_true
def rate_true(rate, a, t, n, c) :
   iota_true = {
      'n3' : 0.04,
      'n4' : 0.05,
      'n5' : 0.06,
      'n6' : 0.07,
   }
   iota_true['n1'] = (iota_true['n3'] + iota_true['n4']) / 2.0
   iota_true['n2'] = (iota_true['n5'] + iota_true['n6']) / 2.0
   iota_true['n0'] = (iota_true['n1'] + iota_true['n2']) / 2.0
   if rate == 'iota' :
      return iota_true[n]
   return 0.0
# END rate_true
# ----------------------------------------------------------------------------
def root_node_db(file_name) :
   #
   # BEGIN iota_mean
   iota_mean = rate_true('iota', None, None, 'n0', None)
   # END iota_mean
   #
   # prior_table
   prior_table = list()
   prior_table.append(
      # BEGIN parent_value_prior
      {   'name':    'parent_value_prior',
         'density': 'gaussian',
         'lower':   iota_mean / 10.0,
         'upper':   iota_mean * 10.0,
         'mean':    iota_mean,
         'std':     iota_mean,
         'eta':     iota_mean * 1e-3
      }
      # END parent_value_prior
   )
   prior_table.append(
      # BEGIN child_value_prior
      {   'name':    'child_value_prior',
         'density': 'gaussian',
         'mean':    0.0,
         'std':     10.0,
      }
      # END child_value_prior
   )
   #
   # smooth_table
   smooth_table = list()
   #
   # parent_smooth
   fun = lambda a, t : ('parent_value_prior', None, None)
   smooth_table.append({
      'name':       'parent_smooth',
      'age_id':     [0],
      'time_id':    [0],
      'fun':        fun,
   })
   #
   # child_smooth
   fun = lambda a, t : ('child_value_prior', None, None)
   smooth_table.append({
      'name':       'child_smooth',
      'age_id':     [0],
      'time_id':    [0],
      'fun':        fun,
   })
   #
   # node_table
   node_table = [
      { 'name':'n0',        'parent':''   },
      { 'name':'n1',        'parent':'n0' },
      { 'name':'n2',        'parent':'n0' },
      { 'name':'n3',        'parent':'n1' },
      { 'name':'n4',        'parent':'n1' },
      { 'name':'n5',        'parent':'n2' },
      { 'name':'n6',        'parent':'n2' },
   ]
   #
   # rate_table
   rate_table = [ {
      'name':           'iota',
      'parent_smooth':  'parent_smooth',
      'child_smooth':   'child_smooth',
   } ]
   #
   # covariate_table
   covariate_table = list()
   #
   # mulcov_table
   mulcov_table = list()
   #
   # subgroup_table
   subgroup_table = [ {'subgroup': 'world', 'group':'world'} ]
   #
   # integrand_table
   integrand_table = [ {'name':'Sincidence'} ]
   #
   # avgint_table
   avgint_table = list()
   row = {
      'node':         'n0',
      'subgroup':     'world',
      'weight':       '',
      'age_lower':    50.0,
      'age_upper':    50.0,
      'time_lower':   2000.0,
      'time_upper':   2000.0,
      'integrand':    'Sincidence',
   }
   avgint_table.append( copy.copy(row) )
   #
   # data_table
   data_table  = list()
   leaf_set    = { 'n3', 'n4', 'n5', 'n6' }
   row = {
      'subgroup':     'world',
      'weight':       '',
      'age_lower':    50.0,
      'age_upper':    50.0,
      'time_lower':   2000.0,
      'time_upper':   2000.0,
      'integrand':    'Sincidence',
      'density':      'gaussian',
      'hold_out':     False,
   }
   for node in leaf_set :
         meas_value        = rate_true('iota', None, None, node, None)
         row['node']       = node
         row['meas_value'] = meas_value
         row['meas_std']   = meas_value / 10.0
         data_table.append( copy.copy(row) )
   #
   # age_grid
   age_grid = [ 0.0, 100.0 ]
   #
   # time_grid
   time_grid = [ 2000.0 ]
   #
   # weight table:
   weight_table = list()
   #
   # nslist_table
   nslist_table = dict()
   #
   # option_table
   # print_level_fixed is 5 and max_number_cpu > 1 so optimizer trace
   # is printed to a file in same directory as corresponding database.
   option_table = [
      { 'name':'parent_node_name',      'value':'n0'},
      { 'name':'rate_case',             'value':'iota_pos_rho_zero'},
      { 'name': 'zero_sum_child_rate',  'value':'iota'},
      { 'name':'quasi_fixed',           'value':'false'},
      { 'name':'max_num_iter_fixed',    'value':'50'},
      { 'name':'tolerance_fixed',       'value':'1e-8'},
      { 'name':'print_level_fixed',     'value':'5'},
   ]
   # ----------------------------------------------------------------------
   # create database
   dismod_at.create_database(
      file_name,
      age_grid,
      time_grid,
      integrand_table,
      node_table,
      subgroup_table,
      weight_table,
      covariate_table,
      avgint_table,
      data_table,
      prior_table,
      smooth_table,
      nslist_table,
      rate_table,
      mulcov_table,
      option_table
   )
# ----------------------------------------------------------------------------
def two_fit_goal_set_example(result_dir, avgint_table) :
   # -------------------------------------------------------------------------
   #
   # root_database
   root_database       = option_all['root_database']
   #
   # all_node_database
   all_node_database = f'{result_dir}/all_node.db'
   #
   # root_fit_dir
   root_fit_dir = f'{result_dir}/n0'
   at_cascade.empty_directory(root_fit_dir)
   #
   # cascade starting at n0
   at_cascade.cascade_root_node(
      all_node_database  = all_node_database  ,
      fit_goal_set       = first_fit_goal_set ,
   )
   #
   # continue starting at at n2
   fit_database      =  root_fit_dir + '/n2/dismod.db'
   at_cascade.continue_cascade(
      all_node_database = all_node_database   ,
      fit_database      = fit_database   ,
      fit_goal_set      = second_fit_goal_set ,
   )
   #
   # check leaf node results
   leaf_dir_list = [ 'n0/n1/n3', 'n0/n1/n4', 'n0/n2/n5', 'n0/n2/n6' ]
   for leaf_dir in leaf_dir_list :
      leaf_database = f'{result_dir}/{leaf_dir}/dismod.db'
      at_cascade.check_cascade_node(
         rate_true          = rate_true,
         all_node_database  = all_node_database,
         fit_database       = leaf_database,
         avgint_table       = avgint_table,
         relative_tolerance = 1e-7,
      )
# ----------------------------------------------------------------------------
def one_fit_goal_set_example(result_dir, avgint_table) :
   #
   # root_database
   root_database       = option_all['root_database']
   #
   # all_node_database
   all_node_database = f'{result_dir}/all_node.db'
   #
   # root_fit_dir
   root_fit_dir = f'{result_dir}/n0'
   at_cascade.empty_directory(root_fit_dir)
   #
   # cascade starting at n0
   fit_goal_set = first_fit_goal_set | second_fit_goal_set
   at_cascade.cascade_root_node(
      all_node_database  = all_node_database  ,
      fit_goal_set       = fit_goal_set ,
   )
   #
   # check leaf node results
   leaf_dir_list = [ 'n0/n1/n3', 'n0/n1/n4', 'n0/n2/n5', 'n0/n2/n6' ]
   for leaf_dir in leaf_dir_list :
      leaf_database = f'{result_dir}/{leaf_dir}/dismod.db'
      at_cascade.check_cascade_node(
         rate_true          = rate_true,
         all_node_database  = all_node_database,
         fit_database       = leaf_database,
         avgint_table       = avgint_table,
         relative_tolerance = 1e-7,
      )

# ----------------------------------------------------------------------------
# main
# ----------------------------------------------------------------------------
def main() :
   # -------------------------------------------------------------------------
   # result_dir
   result_dir = option_all['result_dir']
   at_cascade.empty_directory(result_dir)
   #
   # root_database
   root_database       = option_all['root_database']
   root_node_db(root_database)
   #
   # avgint_table
   # This also erases the avgint table from root_database
   avgint_table = at_cascade.extract_avgint( root_database )
   #
   # all_node_database
   all_node_database = f'{result_dir}/all_node.db'
   at_cascade.create_all_node_db(
      all_node_database       = all_node_database,
      option_all              = option_all,
   )
   #
   # example using continue_cascade
   two_fit_goal_set_example(result_dir, avgint_table)
   #
   # same calculation without continue_cascade
   one_fit_goal_set_example(result_dir, avgint_table)
#
# Without this, the mac will try to execute main on each processor.
if __name__ == '__main__' :
   main()
   print('max_fit_option: OK')