#!/usr/bin/env python

import math
from baker        import run_baker
from baker.tools import improved_answer

from baker.tools import smblog

from grid.DD      import grid
from grid.simplex import contains

def exact_func(X):
  x = X[0]
  y = X[0]
  return 1 - math.sin((x-0.5)**2 + (y-0.5)**2)

if __name__ == '__main__':
  points = [
             [ 0.25, 0.40], # 0
             [ 0.60, 0.80], # 1
             [ 0.65, 0.28], # 2
             [ 0.28, 0.65], # 3
             [ 1.00, 0.75], # 4
             [ 0.30, 0.95], # 5
             [ 0.80, 0.50], # 6
             [ 0.35, 0.15], # 7
           ]
  q = [exact_func(p) for p in points]

  X = [0.55, 0.45]

  g = grid(points, q)
  g.construct_connectivity()
  R = g.create_mesh(range(3))

  print contains(X, R.points)

  try:
    extra = int(sys.argv[1])
  except:
    extra = 3

  S = g.create_mesh(range(3, 3 + extra))

  for i in xrange(1,4):
    answer  = run_baker(X, R, S, i)
    exact   = exact_func(X)
    smblog.debug(improved_answer(answer, exact))

  smblog.debug(improved_answer(g.run_baker(X), exact))