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Diffstat (limited to 'source/kit/astar.h')
-rw-r--r-- | source/kit/astar.h | 401 |
1 files changed, 401 insertions, 0 deletions
diff --git a/source/kit/astar.h b/source/kit/astar.h new file mode 100644 index 0000000..b4a5909 --- /dev/null +++ b/source/kit/astar.h @@ -0,0 +1,401 @@ +// ================================================================ +// +// A* graph search algorithm +// +// ================================================================ + +// TODO +// - Nearest: save the nearest node when the search is failed or not +// yet finished. +// - Sight: when two nodes are in direct sight of each other, skip +// nodes between them (Theta*). + +#ifndef KIT_ASTAR_INL_H +#define KIT_ASTAR_INL_H + +#include "types.h" +#include "status.h" + +#include <assert.h> +#include <stddef.h> +#include <string.h> + +#ifdef __cplusplus +extern "C" { +#endif + +enum { + ASTAR_PROGRESS = 0, + ASTAR_SUCCESS, + ASTAR_FAIL, + ASTAR_OUT_OF_MEMORY, + ASTAR_INVALID_ARGUMENT, +}; + +typedef struct { + b8 stop; + b8 skip; + i64 neighbor; + i64 distance; +} astar_link_t; + +typedef struct { + i64 id; + i64 previous; + i64 exact_source_to_node; + i64 estimated_source_to_destination; +} astar_node_t; + +typedef struct { + i64 capacity; + i64 size; + astar_node_t *values; +} astar_set_t; + +typedef struct { + astar_set_t open; + astar_set_t closed; + void *user_data; + i64 source; + i64 destination; +} astar_state_t; + +#ifdef __GNUC__ +# pragma GCC diagnostic push +# pragma GCC diagnostic ignored "-Wunused-function" +# pragma GCC diagnostic ignored "-Wunknown-pragmas" +# pragma GCC push_options +# pragma GCC optimize("O3") +#endif + +static s32 astar_init(astar_state_t *state, astar_set_t open, + astar_set_t closed, void *user_data, i64 source, + i64 destination) { + assert(state != NULL && open.capacity > 0 && open.values != NULL && + closed.capacity > 0 && closed.values != NULL); + + if (state == NULL) + return KIT_ERROR_INVALID_ARGUMENT; + + memset(state, 0, sizeof *state); + + state->source = source; + state->destination = destination; + state->open = open; + state->closed = closed; + state->user_data = user_data; + + if (state->open.capacity <= 0) + return KIT_ERROR_INVALID_ARGUMENT; + + state->open.values[0] = (astar_node_t) { + .id = source, + .previous = -1, + .exact_source_to_node = 0, + .estimated_source_to_destination = -1, + }; + + state->open.size = 1; + state->closed.size = 0; + + return KIT_OK; +} + +static s32 astar_path(astar_state_t *state, i64 *size, i64 *path) { + assert(state != NULL && size != NULL); + + if (state == NULL || size == NULL) + return KIT_ERROR_INVALID_ARGUMENT; + + i64 path_size = *size; + + *size = 1; + + i64 id = state->destination; + + while (id != state->source) { + if (*size > state->closed.size) + return KIT_ERROR_INTERNAL; + + i64 index = 0; + for (; index < state->closed.size; index++) + if (state->closed.values[index].id == id) + break; + if (index == state->closed.size) + return KIT_ERROR_INTERNAL; + + if (path != NULL && *size <= path_size) + path[*size - 1] = id; + + id = state->closed.values[index].previous; + ++*size; + } + + if (path != NULL && *size <= path_size) + path[*size - 1] = id; + + if (path != NULL) { + if (*size < path_size) + path_size = *size; + + for (i64 i = 0; i < path_size / 2; ++i) { + i64 z = path[i]; + path[i] = path[path_size - 1 - i]; + path[path_size - 1 - i] = z; + } + } + + return KIT_OK; +} + +#ifdef __GNUC__ +# pragma GCC pop_options +# pragma GCC diagnostic pop +#endif + +#ifdef __cplusplus +} +#endif + +#endif + +// ================================================================ +// +// Algorithm template +// +// ================================================================ + +#ifdef ASTAR_TEMPLATE + +#ifdef __cplusplus +extern "C" { +#endif + +#ifndef ASTAR_SUFFIX +# define ASTAR_SUFFIX +#endif + +#ifndef ASTAR_NEIGHBOR +# define ASTAR_NEIGHBOR(user_data_, node_, index_) \ + (astar_link_t) { \ + .stop = 1, \ + } +#endif + +#ifndef ASTAR_HEURISTIC +# define ASTAR_HEURISTIC(user_data_, node_0_, node_2_) (-1) +#endif + +#ifdef __GNUC__ +# pragma GCC diagnostic push +# pragma GCC diagnostic ignored "-Wunused-function" +# pragma GCC diagnostic ignored "-Wunknown-pragmas" +# pragma GCC push_options +# pragma GCC optimize("O3") +#endif + +#define CAT1_(x, y) x##y +#define CAT2_(x, y) CAT1_(x, y) +#define NAME_(x) CAT2_(x, ASTAR_SUFFIX) + +static s32 NAME_(astar_iteration)(astar_state_t *state) { + assert(state != NULL); + + if (state == NULL) + return ASTAR_INVALID_ARGUMENT; + + if (state->open.size == 0) + return ASTAR_FAIL; + + if (state->open.values == NULL || state->closed.values == NULL) + return ASTAR_OUT_OF_MEMORY; + + // Find a node in the open set that is closest to the destination + // + astar_node_t nearest_node; + { + i64 index_in_open = 0; + for (i64 i = 1; i < state->open.size; i++) + if (state->open.values[i].estimated_source_to_destination < + state->open.values[index_in_open] + .estimated_source_to_destination) + index_in_open = i; + nearest_node = state->open.values[index_in_open]; + if (index_in_open != state->open.size - 1) + state->open.values[index_in_open] = + state->open.values[state->open.size - 1]; + --state->open.size; + } + + // Check if we reached the destination + // + if (nearest_node.id == state->destination) { + if (state->closed.size + 1 > state->closed.capacity) { + // Restore the state + state->open.values[state->open.size - 1] = nearest_node; + ++state->open.size; + + return ASTAR_OUT_OF_MEMORY; + } + + // Add the nearest node to the closed set + // + state->closed.values[state->closed.size] = nearest_node; + ++state->closed.size; + + // Finish the search + return ASTAR_SUCCESS; + } + + // Enumerate all neighbors + // + for (i64 k = 0;; ++k) { + // Get a link to the next neighbor node + // + (void) state->user_data; + (void) nearest_node.id; + (void) k; + astar_link_t link = ASTAR_NEIGHBOR(state->user_data, + nearest_node.id, k); + + // If there is no more neighbors, break the loop + if (link.stop) + break; + // If there is no link, proceed to the next link + if (link.skip) + continue; + + astar_node_t neighbor_node = { + .id = link.neighbor, + .previous = nearest_node.id, + .exact_source_to_node = nearest_node.exact_source_to_node + + link.distance, + .estimated_source_to_destination = -1, + }; + + // Calculate distance estimations + // + (void) state->user_data; + (void) neighbor_node.id; + (void) state->destination; + i64 estimated_node_to_destination = ASTAR_HEURISTIC( + state->user_data, neighbor_node.id, state->destination); + + neighbor_node.estimated_source_to_destination = + neighbor_node.exact_source_to_node + + estimated_node_to_destination; + + // Check if we reached the destination + // + if (neighbor_node.id == state->destination) { + if (state->closed.size + 2 > state->closed.capacity) { + // Restore the state + state->open.values[state->open.size - 1] = nearest_node; + ++state->open.size; + + return ASTAR_OUT_OF_MEMORY; + } + + // Add the nearest node to the closed set + // + state->closed.values[state->closed.size] = nearest_node; + ++state->closed.size; + + // Add the neighbor node to the closed set + // + state->closed.values[state->closed.size] = neighbor_node; + ++state->closed.size; + + // Finish the search + return ASTAR_SUCCESS; + } + + // Check if this node is already in the closed set + // + { + i64 index_in_closed = -1; + for (i64 i = 0; i < state->closed.size; ++i) + if (state->closed.values[i].id == neighbor_node.id) { + index_in_closed = i; + break; + } + if (index_in_closed != -1) { + if (state->closed.values[index_in_closed] + .exact_source_to_node < + neighbor_node.exact_source_to_node) + // Skip this node + continue; + // Replace the node + state->closed.values[index_in_closed] = neighbor_node; + } + } + + // Check if this node is already in the open set + // + { + i64 index_in_open = -1; + for (i64 i = 0; i < state->closed.size; ++i) + if (state->open.values[i].id == neighbor_node.id) { + index_in_open = i; + break; + } + if (index_in_open != -1) { + // Check if this node has a better estimate + // + if (neighbor_node.estimated_source_to_destination < + state->open.values[index_in_open] + .estimated_source_to_destination) + // Replace the node + state->open.values[index_in_open] = neighbor_node; + continue; + } + } + + if (state->open.size + 1 > state->open.capacity) { + // Restore the state + state->open.values[state->open.size - 1] = nearest_node; + ++state->open.size; + + return ASTAR_OUT_OF_MEMORY; + } + + // Add this node to the open set + // + state->open.values[state->open.size] = neighbor_node; + ++state->open.size; + } + + // Check if we can add a node to the closed set + // + if (state->closed.size + 1 > state->closed.capacity) { + // Restore the state + state->open.values[state->open.size - 1] = nearest_node; + ++state->open.size; + + return ASTAR_OUT_OF_MEMORY; + } + + // Add the nearest node to the closed set + // + state->closed.values[state->closed.size] = nearest_node; + ++state->closed.size; + + // Continue the search + return ASTAR_PROGRESS; +} + +#undef NAME_ +#undef CAT1_ +#undef CAT2_ + +#ifdef __GNUC__ +# pragma GCC pop_options +# pragma GCC diagnostic pop +#endif + +#ifdef __cplusplus +} +#endif + +#undef ASTAR_TEMPLATE +#endif |