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+/* -*- c-basic-offset: 4; indent-tabs-mode: nil -*- */
+/* ====================================================================
+ * Copyright (c) 2008 Carnegie Mellon University. All rights
+ * reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * This work was supported in part by funding from the Defense Advanced
+ * Research Projects Agency and the National Science Foundation of the
+ * United States of America, and the CMU Sphinx Speech Consortium.
+ *
+ * THIS SOFTWARE IS PROVIDED BY CARNEGIE MELLON UNIVERSITY ``AS IS'' AND
+ * ANY EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO,
+ * THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL CARNEGIE MELLON UNIVERSITY
+ * NOR ITS EMPLOYEES BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+ * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+ * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ * ====================================================================
+ *
+ */
+
+/**
+ * @file ps_lattice_internal.h Word graph search implementation
+ */
+
+#ifndef __PS_LATTICE_INTERNAL_H__
+#define __PS_LATTICE_INTERNAL_H__
+
+/**
+ * Linked list of DAG link pointers.
+ *
+ * Because the same link structure is used for forward and reverse
+ * links, as well as for the agenda used in bestpath search, we can't
+ * store the list pointer inside latlink_t. We could use glist_t
+ * here, but it wastes 4 bytes per entry on 32-bit machines.
+ */
+typedef struct latlink_list_s {
+ ps_latlink_t *link;
+ struct latlink_list_s *next;
+} latlink_list_t;
+
+/**
+ * Word graph structure used in bestpath/nbest search.
+ */
+struct ps_lattice_s {
+ int refcount; /**< Reference count. */
+
+ logmath_t *lmath; /**< Log-math object. */
+ ps_search_t *search; /**< Search (if generated by search). */
+ dict_t *dict; /**< Dictionary for this DAG. */
+ int32 silence; /**< Silence word ID. */
+ int32 frate; /**< Frame rate. */
+
+ ps_latnode_t *nodes; /**< List of all nodes. */
+ ps_latnode_t *start; /**< Starting node. */
+ ps_latnode_t *end; /**< Ending node. */
+
+ frame_idx_t n_frames; /**< Number of frames for this utterance. */
+ int16 n_nodes; /**< Number of nodes in this lattice. */
+ int32 final_node_ascr; /**< Acoustic score of implicit link exiting final node. */
+ int32 norm; /**< Normalizer for posterior probabilities. */
+ char *hyp_str; /**< Current hypothesis string. */
+
+ listelem_alloc_t *latnode_alloc; /**< Node allocator for this DAG. */
+ listelem_alloc_t *latlink_alloc; /**< Link allocator for this DAG. */
+ listelem_alloc_t *latlink_list_alloc; /**< List element allocator for this DAG. */
+
+ /* This will probably be replaced with a heap. */
+ latlink_list_t *q_head; /**< Queue of links for traversal. */
+ latlink_list_t *q_tail; /**< Queue of links for traversal. */
+};
+
+/**
+ * Links between DAG nodes.
+ *
+ * A link corresponds to a single hypothesized instance of a word with
+ * a given start and end point.
+
+ */
+struct ps_latlink_s {
+ struct ps_latnode_s *from; /**< From node */
+ struct ps_latnode_s *to; /**< To node */
+ struct ps_latlink_s *best_prev;
+ int32 ascr; /**< Score for from->wid (from->sf to this->ef) */
+ int32 path_scr; /**< Best path score from root of DAG */
+ frame_idx_t ef; /**< Ending frame of this word */
+ int32 alpha; /**< Forward probability of this link P(w,o_1^{ef}) */
+ int32 beta; /**< Backward probability of this link P(w|o_{ef+1}^T) */
+};
+
+/**
+ * DAG nodes.
+ *
+ * A node corresponds to a number of hypothesized instances of a word
+ * which all share the same starting point.
+ */
+struct ps_latnode_s {
+ int32 id; /**< Unique id for this node */
+ int32 wid; /**< Dictionary word id */
+ int32 basewid; /**< Dictionary base word id */
+ /* FIXME: These are (ab)used to store backpointer indices, therefore they MUST be 32 bits. */
+ int32 fef; /**< First end frame */
+ int32 lef; /**< Last end frame */
+ frame_idx_t sf; /**< Start frame */
+ int16 reachable; /**< From \verbatim </s> \endverbatim or \verbatim <s> \endverbatim */
+ int32 node_id; /**< Node from fsg model, used to map lattice back to model */
+ union {
+ glist_t velist; /**< List of history entries with different lmstate (tst only) */
+ int32 fanin; /**< Number nodes with links to this node */
+ int32 rem_score; /**< Estimated best score from node.sf to end */
+ int32 best_exit; /**< Best exit score (used for final nodes only) */
+ } info;
+ latlink_list_t *exits; /**< Links out of this node */
+ latlink_list_t *entries; /**< Links into this node */
+
+ struct ps_latnode_s *alt; /**< Node with alternate pronunciation for this word */
+ struct ps_latnode_s *next; /**< Next node in DAG (no ordering implied) */
+};
+
+/**
+ * Segmentation "iterator" for backpointer table results.
+ */
+typedef struct dag_seg_s {
+ ps_seg_t base; /**< Base structure. */
+ ps_latlink_t **links; /**< Array of lattice links. */
+ int32 norm; /**< Normalizer for posterior probabilities. */
+ int16 n_links; /**< Number of lattice links. */
+ int16 cur; /**< Current position in bpidx. */
+} dag_seg_t;
+
+/**
+ * Partial path structure used in N-best (A*) search.
+ *
+ * Each partial path (latpath_t) is constructed by extending another
+ * partial path--parent--by one node.
+ */
+typedef struct ps_latpath_s {
+ ps_latnode_t *node; /**< Node ending this path. */
+ struct ps_latpath_s *parent; /**< Previous element in this path. */
+ struct ps_latpath_s *next; /**< Pointer to next path in list of paths. */
+ int32 score; /**< Exact score from start node up to node->sf. */
+} ps_latpath_t;
+
+/**
+ * A* search structure.
+ */
+typedef struct ps_astar_s {
+ ps_lattice_t *dag;
+ ngram_model_t *lmset;
+ float32 lwf;
+
+ frame_idx_t sf;
+ frame_idx_t ef;
+ int32 w1;
+ int32 w2;
+
+ int32 n_hyp_tried;
+ int32 n_hyp_insert;
+ int32 n_hyp_reject;
+ int32 insert_depth;
+ int32 n_path;
+
+ ps_latpath_t *path_list;
+ ps_latpath_t *path_tail;
+ ps_latpath_t *top;
+
+ glist_t hyps; /**< List of hypothesis strings. */
+ listelem_alloc_t *latpath_alloc; /**< Path allocator for N-best search. */
+} ps_astar_t;
+
+/**
+ * Segmentation "iterator" for A* search results.
+ */
+typedef struct astar_seg_s {
+ ps_seg_t base;
+ ps_latnode_t **nodes;
+ int n_nodes;
+ int cur;
+} astar_seg_t;
+
+/**
+ * Construct an empty word graph with reference to a search structure.
+ */
+ps_lattice_t *ps_lattice_init_search(ps_search_t *search, int n_frame);
+
+/**
+ * Insert penalty for fillers
+ */
+void ps_lattice_penalize_fillers(ps_lattice_t *dag, int32 silpen, int32 fillpen);
+
+/**
+ * Remove nodes marked as unreachable.
+ */
+void ps_lattice_delete_unreachable(ps_lattice_t *dag);
+
+/**
+ * Add an edge to the traversal queue.
+ */
+void ps_lattice_pushq(ps_lattice_t *dag, ps_latlink_t *link);
+
+/**
+ * Remove an edge from the traversal queue.
+ */
+ps_latlink_t *ps_lattice_popq(ps_lattice_t *dag);
+
+/**
+ * Clear and reset the traversal queue.
+ */
+void ps_lattice_delq(ps_lattice_t *dag);
+
+/**
+ * Create a new lattice link element.
+ */
+latlink_list_t *latlink_list_new(ps_lattice_t *dag, ps_latlink_t *link,
+ latlink_list_t *next);
+
+/**
+ * Get hypothesis string after bestpath search.
+ */
+char const *ps_lattice_hyp(ps_lattice_t *dag, ps_latlink_t *link);
+
+/**
+ * Get hypothesis segmentation iterator after bestpath search.
+ */
+ps_seg_t *ps_lattice_seg_iter(ps_lattice_t *dag, ps_latlink_t *link,
+ float32 lwf);
+
+/**
+ * Begin N-Gram based A* search on a word graph.
+ *
+ * @param sf Starting frame for N-best search.
+ * @param ef Ending frame for N-best search, or -1 for last frame.
+ * @param w1 First context word, or -1 for none.
+ * @param w2 Second context word, or -1 for none.
+ * @return 0 for success, <0 on error.
+ */
+ps_astar_t *ps_astar_start(ps_lattice_t *dag,
+ ngram_model_t *lmset,
+ float32 lwf,
+ int sf, int ef,
+ int w1, int w2);
+
+/**
+ * Find next best hypothesis of A* on a word graph.
+ *
+ * @return a complete path, or NULL if no more hypotheses exist.
+ */
+ps_latpath_t *ps_astar_next(ps_astar_t *nbest);
+
+/**
+ * Finish N-best search, releasing resources associated with it.
+ */
+void ps_astar_finish(ps_astar_t *nbest);
+
+/**
+ * Get hypothesis string from A* search.
+ */
+char const *ps_astar_hyp(ps_astar_t *nbest, ps_latpath_t *path);
+
+/**
+ * Get hypothesis segmentation from A* search.
+ */
+ps_seg_t *ps_astar_seg_iter(ps_astar_t *astar, ps_latpath_t *path, float32 lwf);
+
+
+#endif /* __PS_LATTICE_INTERNAL_H__ */