#include "negamax.h" // =================================================================== // Globals // =================================================================== const float infty = 3.0; char negamax_ptn[9]; uint8_t negamax_search_depth = 3; // =================================================================== // Helpers // =================================================================== static float negamax(const uint8_t cur_depth, float alpha, float beta, const float colour); // =================================================================== // α-β negamax using the cnn1986 evaluation function and transposition // tables using Zobrist hasing and a treap // =================================================================== void negamax_init(const uint8_t new_board_size) { board_size = new_board_size; action_list_init(); zobrist_init(); tt_init(); } void negamax_free(void) { zobrist_free(); } float negamax_generate(void) { // We need to start with something outside of [-∞,∞] because those // values are wins const float safe_infty = infty + 1; tt_init(); float result = negamax(negamax_search_depth, -safe_infty, safe_infty, (ply & 1) ? +1.0 : -1.0); tt_free(); return result; } static enum TT_FLAG flag; static enum WIN_TYPE w; static float negamax(const uint8_t cur_depth, float alpha, float beta, const float colour) { uint64_t hash = zobrist_compute(); tt_entry_t *entry = tt_seek(hash); // CAUTION: >= breaks search stability if (entry != NULL && entry->depth >= cur_depth) { if (entry->flag == TT_EXACT) { return entry->value; } else if (entry->flag == TT_LOWERBOUND && entry->value > alpha) { alpha = entry->value; } else if (entry->flag == TT_UPPERBOUND && entry->value < beta) { beta = entry->value; } if (alpha >= beta) return entry->value; } action_list_t *list; if ((list = action_list_generate()) == NULL) return alpha; // should never happen! if (entry != NULL) { action_move_to_front(entry->action, list); } // TODO: what to do if this is never written to? action_t best_action = list->head->action; float best_value = -infty; for (action_node_t *node=list->head; node!=NULL; node=node->next) { action_take(node->action); { if (zobrist_apply(node->action, hash) != zobrist_compute()) { printf("! %s\n", (GET_TYPE(node->action)==A_PLACE)?"A_PLACE":"A_MOVE"); } } // Compute the value of the node float node_value; if (ply >= 2*board_size - 2 && (w = check_win()) < 0xFF) { node_value = -colour*infty; // Check win if far enough into the game if (w == WIN_ROAD_BLACK || w == WIN_FLAT_BLACK) { node_value = colour*infty; } else if (w == WIN_DRAW) { node_value = 0; } } else if (cur_depth > 1) { // If nobody won, or too early and not leaf, recurse node_value = -negamax(cur_depth - 1, -beta, -alpha, -colour); } else { node_value = colour * cnn1986_evaluate_black_win(); } action_undo(node->action); negamax_display_progress(cur_depth, list->length); if (node_value > best_value) { best_value = node_value; best_action = node->action; if (cur_depth == negamax_search_depth) action_to_ptn(node->action, negamax_ptn); } alpha = fmax(best_value, alpha); if (alpha >= beta) break; } action_list_free(list); flag = TT_EXACT; if (best_value >= beta) flag = TT_LOWERBOUND; else if (best_value <= alpha) flag = TT_UPPERBOUND; if (entry == NULL) { tt_insert(hash, flag, cur_depth, best_value, best_action); } else { entry->flag = flag; entry->value = best_value; entry->depth = cur_depth; entry->action = best_action; } return best_value; }