#!/usr/bin/python

import math
from baker        import run_baker

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)

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

  answer          = run_baker(X, R, S, 3)
  answer['exact'] = exact_func(X)
  t = ('qlin', 'error', 'exact')

  for i in t:
    print "%s %s" % (
                      i.ljust(10),
                      ("%0.4f" % answer[i]),
                    )
  lin_err   = abs(answer['exact'] - answer['qlin'])
  final_err = abs(answer['exact'] - answer['final'])
  print lin_err >= final_err