#pragma once

#include <cmath>
#include <stdio.h>

#include "types.h"
#include "vector.h"

/* The following is the minimum definition of a spin class.
 *
 * The class must contain an M_t and an F_t for holding the sum of an
 * integer number of spins and a double-weighted number of spins,
 * respectively.
 *
 * void init(X_t *p);
 * void free_spin(X_t p);
 * void free_spin(M_t p);
 * void free_spin(F_t p);
 * X_t copy(X_t x);
 * void add(M_t *x1, int factor, X_t x2);
 * void add(F_t *x1, double factor, X_t x2);
 * M_t scalar_multiple(int factor, X_t x);
 * F_t scalar_multiple(double factor, X_t x);
 * double norm_squared(F_t x);
 * void write_magnetization(M_t M, FILE *outfile);
 *
 */

template <q_t q>
class potts_t {
  public:
    q_t x;

    typedef vector_t<q, int> M_t;
    typedef vector_t<q, double> F_t;
};

template <q_t q>
void init(potts_t <q> *p) {
  p->x = 0;
}

template <q_t q>
void free_spin(potts_t <q> s) {
  // do nothing!
}

template <q_t q>
potts_t <q> copy(potts_t <q> s) {
  return s;
}

template <q_t q>
void add(vector_t<q, int> *s1, int a, potts_t <q> s2) {
  (s1->x)[s2.x] += a;
}

template <q_t q>
void add(vector_t<q, double> *s1, double a, potts_t <q> s2) {
  (s1->x)[s2.x] += a;
}

template <q_t q>
vector_t<q, int> scalar_multiple(int factor, potts_t <q> s) {
  vector_t<q, int> M;
  M.x = (int *)calloc(q, sizeof(int));
  M.x[s.x] += factor;
  return M;
}

template <q_t q>
vector_t<q, double> scalar_multiple(double factor, potts_t <q> s) {
  vector_t<q, double> F;
  F.x = (double *)calloc(q, sizeof(double));
  F.x[s.x] += factor;
  return F;
}

// we could inherit norm_squared from vector.h, but convention dictates that
// potts norms be changed by a constant factor
template <q_t q>
double norm_squared(vector_t<q, double> s) {
  double total = 0;
  for (q_t i = 0; i < q; i++) {
    total += pow(s.x[i], 2);
  }

  return total * (double)q / ((double)q - 1.0);
}

// we could inherit write_magnetization from vector.h, but since M.x must sum
// to nv we don't need to write the last element
template <q_t q>
void write_magnetization(vector_t<q, int> M, FILE *outfile) {
  fwrite(M.x, sizeof(int), q - 1, outfile);
}

// knock yourself out
const potts_t<POTTSQ> states[256] = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255};
template <q_t q>
q_t state_to_ind(potts_t<q> state) { return (q_t)state.x; }