#include <GL/glut.h>
#include <fstream>
#include <iostream>

#include "space_wolff.hpp"
#include "torus_symmetries.hpp"
#include "animation.hpp"

const unsigned D = 2;
typedef Model<double, D, TorusGroup<double, D>, double> model;

Gen<double, D, TorusGroup<double, D>, double> eGen(double L) {
  std::vector<Vector<double, 2>> torusVectors = torus_vecs<double, 2>(L);
  std::vector<Matrix<double, 2>> torusMatrices = torus_mats<double, 2>();
  return [L, torusVectors,
          torusMatrices](Model<double, D, TorusGroup<double, D>, double>& M,
                         Rng& r) -> Transformation<double, D, TorusGroup<double, D>, double>* {
    Matrix<double, 2> m;
    Vector<double, 2> t;

    m = r.pick(torusMatrices);
    t(0) = r.uniform<double>(0, L);
    t(1) = r.uniform<double>(0, L);
    t = t - m * t;

    TorusGroup<double, 2> g = TorusGroup<double, 2>({(double)L, t, m});

    Spin<double, 2, double>* ss = r.pick(M.s);

    return new SpinFlip<double, 2, TorusGroup<double, 2>, double>(M, g, ss);
  };
}


int main(int argc, char* argv[]) {
  const unsigned D = 2;

  double L = 32;
  unsigned N = 1000;
  double T = 2.0 / log(1.0 + sqrt(2.0));
  double H = 1.0;
  unsigned n = 25;

  int opt;

  while ((opt = getopt(argc, argv, "n:N:L:T:H:")) != -1) {
    switch (opt) {
    case 'n':
      n = (unsigned)atof(optarg);
      break;
    case 'N':
      N = (unsigned)atof(optarg);
      break;
    case 'L':
      L = atof(optarg);
      break;
    case 'T':
      T = atof(optarg);
      break;
    case 'H':
      H = atof(optarg);
      break;
    default:
      exit(1);
    }
  }

  double k = 1e8;
  double a = 0.0;

  std::function<double(const Spin<double, D, double>&, const Spin<double, D, double>&)> Z =
      [L, a, k](const Spin<double, D, double>& s1, const Spin<double, D, double>& s2) -> double {
    Vector<double, D> d = diff(L, s1.x, s2.x);

    double σ = s1.s + s2.s;
    double δ = σ - sqrt(d.transpose() * d);

    if (δ > -a * σ) {
      return 0.5 * k * (2 * pow(a * σ, 2) - pow(δ, 2));
    } else if (δ > -2 * a * σ) {
      return 0.5 * k * pow(δ + 2 * a * σ, 2);
    } else {
      return 0;
    }
  };

  std::function<double(Spin<double, D, double>)> B = [L, H](Spin<double, D, double> s) -> double {
    return H * s.x(1);
  };

  auto g = eGen(L);
  std::ofstream ofile("test.dat");
  Animation<double, D, TorusGroup<double, D>, Radius> A(L, 750, argc, argv, 1000, true);
  model sphere(L, Z, B);

  randutils::mt19937_rng rng;

  sphere.s.resize(n);

  unsigned nx = floor(sqrt(n));
  for (unsigned i = 0; i < sphere.s.size(); i++) {
    Spin<double, 2, double>* ss = new Spin<double, 2, double>();
    ss->x = {(i / nx) * L / nx, (i % nx) * L / nx};
    ss->s = rng.pick({0.45, 0.45});
    sphere.s[i] = ss;
    sphere.dict.insert(ss);
  }

  sphere.wolff(T, {g}, A, N);
  ofile.close();

  return 0;
}