#!/usr/bin/python

import sys
import numpy as np
import scipy.spatial

def exact_func(x, y):
  return np.power((np.sin(x * np.pi) * np.cos(y * np.pi)), 2)
  return np.sin(x * np.pi) * np.cos(y * np.pi)


class grid(object):
  def __init__(self, points, q):
    self.points = np.array(points)
    self.q      = np.array(q)

  def __str__(self):
    r = ''
    assert( len(self.points) == len(self.q) )
    for i in xrange(len(self.points)):
      r += "%r: %0.4f\n" % ( self.points[i], self.q[i] )
    return r

class simple_rect_grid(grid):
  def __init__(self, xres = 5, yres = 5):
    xmin = -1.0
    xmax =  1.0
    xspan = xmax - xmin
    xdel = xspan / float(xres - 1)

    ymin = -1.0
    ymay =  1.0
    yspan = ymay - ymin
    ydel = yspan / float(yres - 1)


    self.points = []
    self.q      = []
    for x in xrange(xres):
      cur_x = xmin + (x * xdel)
      for y in xrange(yres):
        cur_y = ymin + (y * ydel)
        self.points.append([cur_x, cur_y])
        self.q.append(exact_func(cur_x, cur_y))
    self.points = np.array(self.points)
    self.q      = np.array(self.q)


  def for_qhull(self):
    r = '2\n'
    r += '%d\n' % len(self.points)
    for p in self.points:
      r += "%f %f\n" % (p[0], p[1])
    return r


class simple_random_grid(simple_rect_grid):
  def __init__(self, num_points = 10):
    self.points = []
    self.q = []

    r = np.random

    for i in xrange(num_points):
      cur_x = r.rand()
      cur_y = r.rand()

      self.points.append([cur_x, cur_y])
      self.q.append(exact_func(cur_x, cur_y))

    self.points = np.array(self.points)
    self.q      = np.array(self.q)


if __name__ == '__main__':
  g = simple_random_grid(100)
  print g.for_qhull()