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#!/usr/bin/env python3
# -*- encoding: utf-8 -*-

from functools import reduce
from math import sqrt
from random import random


class MyRandomizer:

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toroidal <- function(points, values) {
  d <- ncol(points)

  shifts <- sapply(
    1:d,
    function(x) { max(points[, x]) - min(points[, x]) }
  )
  directions <- c(0, 1, -1)
  all_shifts <- expand.grid(
    lapply(

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/*
Dependencies: LAPACK

Ubuntu: sudo apt-get install liblapack3 liblapack-dev

Compile: g++ -o barycentric barycentric.cpp -O3 -Wall -Wextra -pedantic -std=gnu++11 -llapack
*/

#include <iostream>
#include <cassert>

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import itertools
import numpy as np
import matplotlib.pyplot as plt
from scipy.spatial import Delaunay

points = np.array([
    [0, 0],
    [0, 2],
    [2, 0],
    [0.5, 0.5]