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+// properties.h
+
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+// http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+//
+// Copyright 2005-2010 Google, Inc.
+// Author: Michael Riley <riley@google.com>
+// \file
+// FST property bits.
+
+#ifndef FST_LIB_PROPERTIES_H__
+#define FST_LIB_PROPERTIES_H__
+
+#include <sys/types.h>
+#include <vector>
+using std::vector;
+
+#include <fst/compat.h>
+
+namespace fst {
+
+// The property bits here assert facts about an FST. If individual
+// bits are added, then the composite properties below, the property
+// functions and property names in properties.cc, and
+// TestProperties() in test-properties.h should be updated.
+
+//
+// BINARY PROPERTIES
+//
+// For each property below, there is a single bit. If it is set,
+// the property is true. If it is not set, the property is false.
+//
+
+// The Fst is an ExpandedFst
+const uint64 kExpanded = 0x0000000000000001ULL;
+
+// The Fst is a MutableFst
+const uint64 kMutable = 0x0000000000000002ULL;
+
+// An error was detected while constructing/using the FST
+const uint64 kError = 0x0000000000000004ULL;
+
+//
+// TRINARY PROPERTIES
+//
+// For each of these properties below there is a pair of property bits
+// - one positive and one negative. If the positive bit is set, the
+// property is true. If the negative bit is set, the property is
+// false. If neither is set, the property has unknown value. Both
+// should never be simultaneously set. The individual positive and
+// negative bit pairs should be adjacent with the positive bit
+// at an odd and lower position.
+
+// ilabel == olabel for each arc
+const uint64 kAcceptor = 0x0000000000010000ULL;
+// ilabel != olabel for some arc
+const uint64 kNotAcceptor = 0x0000000000020000ULL;
+
+// ilabels unique leaving each state
+const uint64 kIDeterministic = 0x0000000000040000ULL;
+// ilabels not unique leaving some state
+const uint64 kNonIDeterministic = 0x0000000000080000ULL;
+
+// olabels unique leaving each state
+const uint64 kODeterministic = 0x0000000000100000ULL;
+// olabels not unique leaving some state
+const uint64 kNonODeterministic = 0x0000000000200000ULL;
+
+// FST has input/output epsilons
+const uint64 kEpsilons = 0x0000000000400000ULL;
+// FST has no input/output epsilons
+const uint64 kNoEpsilons = 0x0000000000800000ULL;
+
+// FST has input epsilons
+const uint64 kIEpsilons = 0x0000000001000000ULL;
+// FST has no input epsilons
+const uint64 kNoIEpsilons = 0x0000000002000000ULL;
+
+// FST has output epsilons
+const uint64 kOEpsilons = 0x0000000004000000ULL;
+// FST has no output epsilons
+const uint64 kNoOEpsilons = 0x0000000008000000ULL;
+
+// ilabels sorted wrt < for each state
+const uint64 kILabelSorted = 0x0000000010000000ULL;
+// ilabels not sorted wrt < for some state
+const uint64 kNotILabelSorted = 0x0000000020000000ULL;
+
+// olabels sorted wrt < for each state
+const uint64 kOLabelSorted = 0x0000000040000000ULL;
+// olabels not sorted wrt < for some state
+const uint64 kNotOLabelSorted = 0x0000000080000000ULL;
+
+// Non-trivial arc or final weights
+const uint64 kWeighted = 0x0000000100000000ULL;
+// Only trivial arc and final weights
+const uint64 kUnweighted = 0x0000000200000000ULL;
+
+// FST has cycles
+const uint64 kCyclic = 0x0000000400000000ULL;
+// FST has no cycles
+const uint64 kAcyclic = 0x0000000800000000ULL;
+
+// FST has cycles containing the initial state
+const uint64 kInitialCyclic = 0x0000001000000000ULL;
+// FST has no cycles containing the initial state
+const uint64 kInitialAcyclic = 0x0000002000000000ULL;
+
+// FST is topologically sorted
+const uint64 kTopSorted = 0x0000004000000000ULL;
+// FST is not topologically sorted
+const uint64 kNotTopSorted = 0x0000008000000000ULL;
+
+// All states reachable from the initial state
+const uint64 kAccessible = 0x0000010000000000ULL;
+// Not all states reachable from the initial state
+const uint64 kNotAccessible = 0x0000020000000000ULL;
+
+// All states can reach a final state
+const uint64 kCoAccessible = 0x0000040000000000ULL;
+// Not all states can reach a final state
+const uint64 kNotCoAccessible = 0x0000080000000000ULL;
+
+// If NumStates() > 0, then state 0 is initial, state NumStates()-1 is
+// final, there is a transition from each non-final state i to
+// state i+1, and there are no other transitions.
+const uint64 kString = 0x0000100000000000ULL;
+
+// Not a string FST
+const uint64 kNotString = 0x0000200000000000ULL;
+
+//
+// COMPOSITE PROPERTIES
+//
+
+// Properties of an empty machine
+const uint64 kNullProperties
+ = kAcceptor | kIDeterministic | kODeterministic | kNoEpsilons |
+ kNoIEpsilons | kNoOEpsilons | kILabelSorted | kOLabelSorted |
+ kUnweighted | kAcyclic | kInitialAcyclic | kTopSorted |
+ kAccessible | kCoAccessible | kString;
+
+// Properties that are preserved when an FST is copied
+const uint64 kCopyProperties
+ = kError | kAcceptor | kNotAcceptor | kIDeterministic | kNonIDeterministic |
+ kODeterministic | kNonODeterministic | kEpsilons | kNoEpsilons |
+ kIEpsilons | kNoIEpsilons | kOEpsilons | kNoOEpsilons |
+ kILabelSorted | kNotILabelSorted | kOLabelSorted |
+ kNotOLabelSorted | kWeighted | kUnweighted | kCyclic | kAcyclic |
+ kInitialCyclic | kInitialAcyclic | kTopSorted | kNotTopSorted |
+ kAccessible | kNotAccessible | kCoAccessible | kNotCoAccessible |
+ kString | kNotString;
+
+// Properites that are intrinsic to the FST
+const uint64 kIntrinsicProperties
+ = kExpanded | kMutable | kAcceptor | kNotAcceptor | kIDeterministic |
+ kNonIDeterministic | kODeterministic | kNonODeterministic |
+ kEpsilons | kNoEpsilons | kIEpsilons | kNoIEpsilons | kOEpsilons |
+ kNoOEpsilons | kILabelSorted | kNotILabelSorted | kOLabelSorted |
+ kNotOLabelSorted | kWeighted | kUnweighted | kCyclic | kAcyclic |
+ kInitialCyclic | kInitialAcyclic | kTopSorted | kNotTopSorted |
+ kAccessible | kNotAccessible | kCoAccessible | kNotCoAccessible |
+ kString | kNotString;
+
+// Properites that are (potentially) extrinsic to the FST
+const uint64 kExtrinsicProperties = kError;
+
+// Properties that are preserved when an FST start state is set
+const uint64 kSetStartProperties
+ = kExpanded | kMutable | kError | kAcceptor | kNotAcceptor |
+ kIDeterministic | kNonIDeterministic | kODeterministic |
+ kNonODeterministic | kEpsilons | kNoEpsilons | kIEpsilons |
+ kNoIEpsilons | kOEpsilons | kNoOEpsilons | kILabelSorted |
+ kNotILabelSorted | kOLabelSorted | kNotOLabelSorted | kWeighted |
+ kUnweighted | kCyclic | kAcyclic | kTopSorted | kNotTopSorted |
+ kCoAccessible | kNotCoAccessible;
+
+// Properties that are preserved when an FST final weight is set
+const uint64 kSetFinalProperties
+ = kExpanded | kMutable | kError | kAcceptor | kNotAcceptor |
+ kIDeterministic | kNonIDeterministic | kODeterministic |
+ kNonODeterministic | kEpsilons | kNoEpsilons | kIEpsilons |
+ kNoIEpsilons | kOEpsilons | kNoOEpsilons | kILabelSorted |
+ kNotILabelSorted | kOLabelSorted | kNotOLabelSorted | kCyclic |
+ kAcyclic | kInitialCyclic | kInitialAcyclic | kTopSorted |
+ kNotTopSorted | kAccessible | kNotAccessible;
+
+// Properties that are preserved when an FST state is added
+const uint64 kAddStateProperties
+ = kExpanded | kMutable | kError | kAcceptor | kNotAcceptor |
+ kIDeterministic | kNonIDeterministic | kODeterministic |
+ kNonODeterministic | kEpsilons | kNoEpsilons | kIEpsilons |
+ kNoIEpsilons | kOEpsilons | kNoOEpsilons | kILabelSorted |
+ kNotILabelSorted | kOLabelSorted | kNotOLabelSorted | kWeighted |
+ kUnweighted | kCyclic | kAcyclic | kInitialCyclic |
+ kInitialAcyclic | kTopSorted | kNotTopSorted | kNotAccessible |
+ kNotCoAccessible | kNotString;
+
+// Properties that are preserved when an FST arc is added
+const uint64 kAddArcProperties = kExpanded | kMutable | kError | kNotAcceptor |
+ kNonIDeterministic | kNonODeterministic | kEpsilons | kIEpsilons |
+ kOEpsilons | kNotILabelSorted | kNotOLabelSorted | kWeighted |
+ kCyclic | kInitialCyclic | kNotTopSorted | kAccessible | kCoAccessible;
+
+// Properties that are preserved when an FST arc is set
+const uint64 kSetArcProperties = kExpanded | kMutable | kError;
+
+// Properties that are preserved when FST states are deleted
+const uint64 kDeleteStatesProperties
+ = kExpanded | kMutable | kError | kAcceptor | kIDeterministic |
+ kODeterministic | kNoEpsilons | kNoIEpsilons | kNoOEpsilons |
+ kILabelSorted | kOLabelSorted | kUnweighted | kAcyclic |
+ kInitialAcyclic | kTopSorted;
+
+// Properties that are preserved when FST arcs are deleted
+const uint64 kDeleteArcsProperties
+ = kExpanded | kMutable | kError | kAcceptor | kIDeterministic |
+ kODeterministic | kNoEpsilons | kNoIEpsilons | kNoOEpsilons |
+ kILabelSorted | kOLabelSorted | kUnweighted | kAcyclic |
+ kInitialAcyclic | kTopSorted | kNotAccessible | kNotCoAccessible;
+
+// Properties that are preserved when an FST's states are reordered
+const uint64 kStateSortProperties = kExpanded | kMutable | kError | kAcceptor |
+ kNotAcceptor | kIDeterministic | kNonIDeterministic |
+ kODeterministic | kNonODeterministic | kEpsilons | kNoEpsilons |
+ kIEpsilons | kNoIEpsilons | kOEpsilons | kNoOEpsilons |
+ kILabelSorted | kNotILabelSorted | kOLabelSorted | kNotOLabelSorted
+ | kWeighted | kUnweighted | kCyclic | kAcyclic | kInitialCyclic |
+ kInitialAcyclic | kAccessible | kNotAccessible | kCoAccessible |
+ kNotCoAccessible;
+
+// Properties that are preserved when an FST's arcs are reordered
+const uint64 kArcSortProperties =
+ kExpanded | kMutable | kError | kAcceptor | kNotAcceptor | kIDeterministic |
+ kNonIDeterministic | kODeterministic | kNonODeterministic |
+ kEpsilons | kNoEpsilons | kIEpsilons | kNoIEpsilons | kOEpsilons |
+ kNoOEpsilons | kWeighted | kUnweighted | kCyclic | kAcyclic |
+ kInitialCyclic | kInitialAcyclic | kTopSorted | kNotTopSorted |
+ kAccessible | kNotAccessible | kCoAccessible | kNotCoAccessible |
+ kString | kNotString;
+
+// Properties that are preserved when an FST's input labels are changed.
+const uint64 kILabelInvariantProperties =
+ kExpanded | kMutable | kError | kODeterministic | kNonODeterministic |
+ kOEpsilons | kNoOEpsilons | kOLabelSorted | kNotOLabelSorted |
+ kWeighted | kUnweighted | kCyclic | kAcyclic | kInitialCyclic |
+ kInitialAcyclic | kTopSorted | kNotTopSorted | kAccessible |
+ kNotAccessible | kCoAccessible | kNotCoAccessible | kString | kNotString;
+
+// Properties that are preserved when an FST's output labels are changed.
+const uint64 kOLabelInvariantProperties =
+ kExpanded | kMutable | kError | kIDeterministic | kNonIDeterministic |
+ kIEpsilons | kNoIEpsilons | kILabelSorted | kNotILabelSorted |
+ kWeighted | kUnweighted | kCyclic | kAcyclic | kInitialCyclic |
+ kInitialAcyclic | kTopSorted | kNotTopSorted | kAccessible |
+ kNotAccessible | kCoAccessible | kNotCoAccessible | kString | kNotString;
+
+// Properties that are preserved when an FST's weights are changed.
+// This assumes that the set of states that are non-final is not changed.
+const uint64 kWeightInvariantProperties =
+ kExpanded | kMutable | kError | kAcceptor | kNotAcceptor | kIDeterministic |
+ kNonIDeterministic | kODeterministic | kNonODeterministic |
+ kEpsilons | kNoEpsilons | kIEpsilons | kNoIEpsilons | kOEpsilons |
+ kNoOEpsilons | kILabelSorted | kNotILabelSorted | kOLabelSorted |
+ kNotOLabelSorted | kCyclic | kAcyclic | kInitialCyclic | kInitialAcyclic |
+ kTopSorted | kNotTopSorted | kAccessible | kNotAccessible | kCoAccessible |
+ kNotCoAccessible | kString | kNotString;
+
+// Properties that are preserved when a superfinal state is added
+// and an FSTs final weights are directed to it via new transitions.
+const uint64 kAddSuperFinalProperties = kExpanded | kMutable | kError |
+ kAcceptor | kNotAcceptor | kNonIDeterministic | kNonODeterministic |
+ kEpsilons | kIEpsilons | kOEpsilons | kNotILabelSorted | kNotOLabelSorted |
+ kWeighted | kUnweighted | kCyclic | kAcyclic | kInitialCyclic |
+ kInitialAcyclic | kNotTopSorted | kNotAccessible | kCoAccessible |
+ kNotCoAccessible | kNotString;
+
+// Properties that are preserved when a superfinal state is removed
+// and the epsilon transitions directed to it are made final weights.
+const uint64 kRmSuperFinalProperties = kExpanded | kMutable | kError |
+ kAcceptor | kNotAcceptor | kIDeterministic | kODeterministic |
+ kNoEpsilons | kNoIEpsilons | kNoOEpsilons | kILabelSorted | kOLabelSorted |
+ kWeighted | kUnweighted | kCyclic | kAcyclic | kInitialCyclic |
+ kInitialAcyclic | kTopSorted | kAccessible | kCoAccessible |
+ kNotCoAccessible | kString;
+
+// All binary properties
+const uint64 kBinaryProperties = 0x0000000000000007ULL;
+
+// All trinary properties
+const uint64 kTrinaryProperties = 0x00003fffffff0000ULL;
+
+//
+// COMPUTED PROPERTIES
+//
+
+// 1st bit of trinary properties
+const uint64 kPosTrinaryProperties =
+ kTrinaryProperties & 0x5555555555555555ULL;
+
+// 2nd bit of trinary properties
+const uint64 kNegTrinaryProperties =
+ kTrinaryProperties & 0xaaaaaaaaaaaaaaaaULL;
+
+// All properties
+const uint64 kFstProperties = kBinaryProperties | kTrinaryProperties;
+
+//
+// PROPERTY FUNCTIONS and STRING NAMES (defined in properties.cc)
+//
+
+// Below are functions for getting property bit vectors when executing
+// mutating fst operations.
+inline uint64 SetStartProperties(uint64 inprops);
+template <typename Weight>
+uint64 SetFinalProperties(uint64 inprops, Weight old_weight,
+ Weight new_weight);
+inline uint64 AddStateProperties(uint64 inprops);
+template <typename A>
+uint64 AddArcProperties(uint64 inprops, typename A::StateId s, const A &arc,
+ const A *prev_arc);
+inline uint64 DeleteStatesProperties(uint64 inprops);
+inline uint64 DeleteAllStatesProperties(uint64 inprops, uint64 staticProps);
+inline uint64 DeleteArcsProperties(uint64 inprops);
+
+uint64 ClosureProperties(uint64 inprops, bool star, bool delayed = false);
+uint64 ComplementProperties(uint64 inprops);
+uint64 ComposeProperties(uint64 inprops1, uint64 inprops2);
+uint64 ConcatProperties(uint64 inprops1, uint64 inprops2,
+ bool delayed = false);
+uint64 DeterminizeProperties(uint64 inprops, bool has_subsequential_label);
+uint64 FactorWeightProperties(uint64 inprops);
+uint64 InvertProperties(uint64 inprops);
+uint64 ProjectProperties(uint64 inprops, bool project_input);
+uint64 RandGenProperties(uint64 inprops, bool weighted);
+uint64 RelabelProperties(uint64 inprops);
+uint64 ReplaceProperties(const vector<uint64>& inprops,
+ ssize_t root,
+ bool epsilon_on_replace,
+ bool no_empty_fst);
+uint64 ReverseProperties(uint64 inprops);
+uint64 ReweightProperties(uint64 inprops);
+uint64 RmEpsilonProperties(uint64 inprops, bool delayed = false);
+uint64 ShortestPathProperties(uint64 props);
+uint64 SynchronizeProperties(uint64 inprops);
+uint64 UnionProperties(uint64 inprops1, uint64 inprops2, bool delayed = false);
+
+// Definitions of inlined functions.
+
+uint64 SetStartProperties(uint64 inprops) {
+ uint64 outprops = inprops & kSetStartProperties;
+ if (inprops & kAcyclic) {
+ outprops |= kInitialAcyclic;
+ }
+ return outprops;
+}
+
+uint64 AddStateProperties(uint64 inprops) {
+ return inprops & kAddStateProperties;
+}
+
+uint64 DeleteStatesProperties(uint64 inprops) {
+ return inprops & kDeleteStatesProperties;
+}
+
+uint64 DeleteAllStatesProperties(uint64 inprops, uint64 staticprops) {
+ uint64 outprops = inprops & kError;
+ return outprops | kNullProperties | staticprops;
+}
+
+uint64 DeleteArcsProperties(uint64 inprops) {
+ return inprops & kDeleteArcsProperties;
+}
+
+// Definitions of template functions.
+
+//
+template <typename Weight>
+uint64 SetFinalProperties(uint64 inprops, Weight old_weight,
+ Weight new_weight) {
+ uint64 outprops = inprops;
+ if (old_weight != Weight::Zero() && old_weight != Weight::One()) {
+ outprops &= ~kWeighted;
+ }
+ if (new_weight != Weight::Zero() && new_weight != Weight::One()) {
+ outprops |= kWeighted;
+ outprops &= ~kUnweighted;
+ }
+ outprops &= kSetFinalProperties | kWeighted | kUnweighted;
+ return outprops;
+}
+
+/// Gets the properties for the MutableFst::AddArc method.
+///
+/// \param inprops the current properties of the fst
+/// \param s the id of the state to which an arc is being added
+/// \param arc the arc being added to the state with the specified id
+/// \param prev_arc the previously-added (or "last") arc of state s, or NULL if
+/// s currently has no arcs
+template <typename A>
+uint64 AddArcProperties(uint64 inprops, typename A::StateId s,
+ const A &arc, const A *prev_arc) {
+ uint64 outprops = inprops;
+ if (arc.ilabel != arc.olabel) {
+ outprops |= kNotAcceptor;
+ outprops &= ~kAcceptor;
+ }
+ if (arc.ilabel == 0) {
+ outprops |= kIEpsilons;
+ outprops &= ~kNoIEpsilons;
+ if (arc.olabel == 0) {
+ outprops |= kEpsilons;
+ outprops &= ~kNoEpsilons;
+ }
+ }
+ if (arc.olabel == 0) {
+ outprops |= kOEpsilons;
+ outprops &= ~kNoOEpsilons;
+ }
+ if (prev_arc != 0) {
+ if (prev_arc->ilabel > arc.ilabel) {
+ outprops |= kNotILabelSorted;
+ outprops &= ~kILabelSorted;
+ }
+ if (prev_arc->olabel > arc.olabel) {
+ outprops |= kNotOLabelSorted;
+ outprops &= ~kOLabelSorted;
+ }
+ }
+ if (arc.weight != A::Weight::Zero() && arc.weight != A::Weight::One()) {
+ outprops |= kWeighted;
+ outprops &= ~kUnweighted;
+ }
+ if (arc.nextstate <= s) {
+ outprops |= kNotTopSorted;
+ outprops &= ~kTopSorted;
+ }
+ outprops &= kAddArcProperties | kAcceptor |
+ kNoEpsilons | kNoIEpsilons | kNoOEpsilons |
+ kILabelSorted | kOLabelSorted | kUnweighted | kTopSorted;
+ if (outprops & kTopSorted) {
+ outprops |= kAcyclic | kInitialAcyclic;
+ }
+ return outprops;
+}
+
+extern const char *PropertyNames[];
+
+} // namespace fst
+
+#endif // FST_LIB_PROPERTIES_H__