File: igraph_stochastic_imitation.c

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/* -*- mode: C -*-  */
/*
  Test suite for stochastic imitation via uniform selection.
  Copyright (C) 2011 Minh Van Nguyen <nguyenminh2@gmail.com>

  This program is free software; you can redistribute it and/or modify
  it under the terms of the GNU General Public License as published by
  the Free Software Foundation; either version 2 of the License, or
  (at your option) any later version.

  This program is distributed in the hope that it will be useful,
  but WITHOUT ANY WARRANTY; without even the implied warranty of
  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  GNU General Public License for more details.

  You should have received a copy of the GNU General Public License
  along with this program; if not, write to the Free Software
  Foundation, Inc.,  51 Franklin Street, Fifth Floor, Boston, MA
  02110-1301 USA
*/

#include <igraph.h>
#include <stdio.h>

/* test parameters structure */
typedef struct {
  igraph_t *graph;
  igraph_integer_t vertex;
  igraph_imitate_algorithm_t algo;
  igraph_vector_t *quantities;
  igraph_vector_t *strategies;
  igraph_vector_t *known_strats;
  igraph_neimode_t mode;
  int retval;
} strategy_test_t;

/* Error tests. That is, we expect error codes to be returned from such tests.
 */
int error_tests() {
  igraph_t g, h;
  igraph_vector_t quant, strat;
  int i, n, ret;
  strategy_test_t *test;

  /* nonempty graph */
  igraph_small(&g, /*n vertices*/ 0, IGRAPH_UNDIRECTED, 0,1, 1,2, 2,0, -1);
  igraph_empty(&h, 0, 0);         /* empty graph */
  igraph_vector_init(&quant, 1);  /* quantities vector */
  igraph_vector_init(&strat, 2);  /* strategies vector */

  /* test parameters */
  /*graph--vertex--algo--quantities--strategies--known_strats--mode--retval*/
  /* null pointer for graph */
  strategy_test_t null_graph = {NULL, 0, IGRAPH_IMITATE_BLIND, NULL, NULL, NULL, IGRAPH_ALL, IGRAPH_EINVAL};
  /* null pointer for quantities vector */
  strategy_test_t null_quant = {&g, 0, IGRAPH_IMITATE_BLIND, NULL, NULL, NULL, IGRAPH_ALL, IGRAPH_EINVAL};
  /* null pointer for strategies vector */
  strategy_test_t null_strat = {&g, 0, IGRAPH_IMITATE_BLIND, &quant, NULL, NULL, IGRAPH_ALL, IGRAPH_EINVAL};
  /* empty graph */
  strategy_test_t empty_graph = {&h, 0, IGRAPH_IMITATE_BLIND, &quant, &strat, NULL, IGRAPH_ALL, IGRAPH_EINVAL};
  /* length of quantities vector different from number of vertices */
  strategy_test_t qdiff_length = {&g, 0, IGRAPH_IMITATE_BLIND, &quant, &strat, NULL, IGRAPH_ALL, IGRAPH_EINVAL};
  /* length of strategies vector different from number of vertices */
  strategy_test_t sdiff_length = {&g, 0, IGRAPH_IMITATE_BLIND, &quant, &strat, NULL, IGRAPH_ALL, IGRAPH_EINVAL};
  strategy_test_t unknown_algo = {&g, 0, -1, &quant, &strat, NULL, IGRAPH_ALL, IGRAPH_EINVAL};
  strategy_test_t *all_checks[] = {/* 1 */ &null_graph,
                                   /* 2 */ &null_quant,
                                   /* 3 */ &null_strat,
                                   /* 4 */ &empty_graph,
                                   /* 5 */ &qdiff_length,
                                   /* 6 */ &sdiff_length,
                                   /* 7 */ &unknown_algo};
  /* Run the error tests. We expect error to be raised for each test. */
  igraph_set_error_handler(igraph_error_handler_ignore);
  n = 7;
  i = 0;
  while (i < n) {
    test = all_checks[i];
    ret = igraph_stochastic_imitation(test->graph, test->vertex, test->algo,
                                      test->quantities, test->strategies,
                                      test->mode);
    if (ret != test->retval) {
      printf("Error test no. %d failed.\n", (int)(i + 1));
      return IGRAPH_FAILURE;
    }
    i++;
  }
  /* clean up */
  igraph_destroy(&g);
  igraph_destroy(&h);
  igraph_vector_destroy(&quant);
  igraph_vector_destroy(&strat);

  return IGRAPH_SUCCESS;
}

/* Updating the strategy of an isolated vertex. In this case, the strategies
 * vector should not change at all.
 */
int isolated_vertex_test() {
  igraph_t g;
  igraph_vector_t quant, strat, v;
  int i, ret;

  /* graph with one isolated vertex */
  igraph_small(&g, /*n vertices*/ 0, IGRAPH_UNDIRECTED, 0,1, 1,2, 2,0, -1);
  igraph_add_vertices(&g, 1, 0);  /* new vertex 3 is isolated */
  /* quantities vector: all vertices have the same fitness */
  igraph_vector_init_real(&quant, 4, 0.25, 0.25, 0.25, 0.25);
  /* strategies vector: 0 means aggressive strategy; 1 means passive */
  igraph_vector_init_real(&strat, 4, 1.0, 0.0, 1.0, 0.0);
  /* make a copy of the original strategies vector for comparison later on */
  igraph_vector_copy(&v, &strat);
  /* Now update strategy of vertex 3. Since this vertex is isolated, no */
  /* strategy update would take place. The resulting strategies vector */
  /* would be the same as it was originally. */
  ret = igraph_stochastic_imitation(/*graph*/ &g,
                                    /*vertex*/ 3,
                                    /*algorithm*/ IGRAPH_IMITATE_BLIND,
                                    /*quantities*/ &quant,
                                    /*strategies*/ &strat,
                                    /*mode*/ IGRAPH_ALL);
  if (ret) {
    printf("Isolated vertex test failed.\n");
    return IGRAPH_FAILURE;
  }
  for (i = 0; i < igraph_vector_size(&strat); i++) {
    if (VECTOR(strat)[i] != VECTOR(v)[i]) {
      printf("Isolated vertex test failed.\n");
      return IGRAPH_FAILURE;
    }
  }
  /* clean up */
  igraph_destroy(&g);
  igraph_vector_destroy(&quant);
  igraph_vector_destroy(&strat);
  igraph_vector_destroy(&v);

  return IGRAPH_SUCCESS;
}

/* A game on the Petersen graph. This graph has 10 vertices and 15 edges. The
 * Petersen graph is initialized with a default quantities vector and a
 * default strategies vector. Some vertices are chosen for strategy revision,
 * each one via a different stochastic imitation rule.
 */
int petersen_game_test() {
  igraph_t g;
  igraph_bool_t success;
  igraph_vector_t quant, strat, stratcopy, *knownstrats;
  igraph_vector_t known0, known2, known4;
  int i, k, n, nedge, nvert, ret;
  strategy_test_t *test;

  /* the Petersen graph */
  igraph_small(&g, /*n vertices*/ 0, IGRAPH_UNDIRECTED,
               0,1,0,4,0,5, 1,2,1,6, 2,3,2,7, 3,4,3,8, 4,9,
               5,7,5,8, 6,8,6,9, 7,9, -1);
  nedge = igraph_ecount(&g);
  nvert = igraph_vcount(&g);
  /* Strategies vector, one strategy for each vertex. Thus vec[i] is the */
  /* strategy of vertex i. The strategy space is: {0, 1, 2, 3}. */
  /* Each strategy should be an integer. */
  igraph_vector_init_real(&strat, nvert,
                          1.0, 1.0, 2.0, 2.0, 0.0,
                          0.0, 0.0, 1.0, 2.0, 3.0);
  /* Quantities vector, one quantity per vertex. Thus vec[i] is the */
  /* quantity for vertex i. */
  igraph_vector_init_real(&quant, nvert,
                          0.3, 1.1, 0.5, 1.0, 0.9,
                          0.8, 0.4, 0.1, 0.7, 0.7);
  /* parameter settings and known results */
  igraph_vector_init_real(&known0, 2, 0.0, 1.0);
  igraph_vector_init_real(&known2, 2, 1.0, 2.0);
  igraph_vector_init_real(&known4, 2, 0.0, 2.0);
  /*graph--vertex--algo--quantities--strategies--known_strats--mode--retval*/
  strategy_test_t blind0 = {&g, 0, IGRAPH_IMITATE_BLIND, &quant, NULL, &known0, IGRAPH_ALL, IGRAPH_SUCCESS};
  strategy_test_t augmented4 = {&g, 4, IGRAPH_IMITATE_AUGMENTED, &quant, NULL, &known4, IGRAPH_ALL, IGRAPH_SUCCESS};
  strategy_test_t contracted2 = {&g, 2, IGRAPH_IMITATE_CONTRACTED, &quant, NULL, &known2, IGRAPH_ALL, IGRAPH_SUCCESS};
  strategy_test_t *all_checks[] = {/* 1 */ &blind0,
                                   /* 2 */ &augmented4,
                                   /* 3 */ &contracted2};
  /* run the tests */
  n = 3;
  i = 0;
  while (i < n) {
    test = all_checks[i];
    igraph_vector_copy(&stratcopy, &strat);
    ret = igraph_stochastic_imitation(test->graph, test->vertex, test->algo,
                                      test->quantities, &stratcopy,
                                      test->mode);
    if (ret) {
      printf("Stochastic imitation failed for vertex %d.\n",
             (int)test->vertex);
      return IGRAPH_FAILURE;
    }
    /* If the updated strategy for the vertex matches one of the known */
    /* strategies, then success. Default to failure. */
    success = 0;
    knownstrats = test->known_strats;
    for (k = 0; k < igraph_vector_size(knownstrats); k++) {
      if (VECTOR(*knownstrats)[k] == VECTOR(stratcopy)[test->vertex]) {
        success = 1;
        break;
      }
    }
    if (!success) {
      printf("Stochastic imitation failed for vertex %d.\n",
             (int)test->vertex);
      return IGRAPH_FAILURE;
    }
    igraph_vector_destroy(&stratcopy);
    i++;
  }
  /* clean up */
  igraph_destroy(&g);
  igraph_vector_destroy(&known0);
  igraph_vector_destroy(&known2);
  igraph_vector_destroy(&known4);
  igraph_vector_destroy(&quant);
  igraph_vector_destroy(&strat);

  return IGRAPH_SUCCESS;
}

int main() {
  int ret;

  ret = error_tests();
  if (ret)
    return ret;
  ret = isolated_vertex_test();
  if (ret)
    return ret;
  ret = petersen_game_test();
  if (ret)
    return ret;

  return IGRAPH_SUCCESS;
}