1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
| //===- Automaton.td ----------------------------------------*- tablegen -*-===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
//
// This file defines the key top-level classes needed to produce a reasonably
// generic finite-state automaton.
//
//===----------------------------------------------------------------------===//
// Define a record inheriting from GenericAutomaton to generate a reasonably
// generic finite-state automaton over a set of actions and states.
//
// This automaton is defined by:
// 1) a state space (explicit, always bits<32>).
// 2) a set of input symbols (actions, explicit) and
// 3) a transition function from state + action -> state.
//
// A theoretical automaton is defined by <Q, S, d, q0, F>:
// Q: A set of possible states.
// S: (sigma) The input alphabet.
// d: (delta) The transition function f(q in Q, s in S) -> q' in Q.
// F: The set of final (accepting) states.
//
// Because generating all possible states is tedious, we instead define the
// transition function only and crawl all reachable states starting from the
// initial state with all inputs under all transitions until termination.
//
// We define F = S, that is, all valid states are accepting.
//
// To ensure the generation of the automaton terminates, the state transitions
// are defined as a lattice (meaning every transitioned-to state is more
// specific than the transitioned-from state, for some definition of specificity).
// Concretely a transition may set one or more bits in the state that were
// previously zero to one. If any bit was not zero, the transition is invalid.
//
// Instead of defining all possible states (which would be cumbersome), the user
// provides a set of possible Transitions from state A, consuming an input
// symbol A to state B. The Transition object transforms state A to state B and
// acts as a predicate. This means the state space can be discovered by crawling
// all the possible transitions until none are valid.
//
// This automaton is considered to be nondeterministic, meaning that multiple
// transitions can occur from any (state, action) pair. The generated automaton
// is determinized, meaning that is executes in O(k) time where k is the input
// sequence length.
//
// In addition to a generated automaton that determines if a sequence of inputs
// is accepted or not, a table is emitted that allows determining a plausible
// sequence of states traversed to accept that input.
class GenericAutomaton {
// Name of a class that inherits from Transition. All records inheriting from
// this class will be considered when constructing the automaton.
string TransitionClass;
// Names of fields within TransitionClass that define the action symbol. This
// defines the action as an N-tuple.
//
// Each symbol field can be of class, int, string or code type.
// If the type of a field is a class, the Record's name is used verbatim
// in C++ and the class name is used as the C++ type name.
// If the type of a field is a string, code or int, that is also used
// verbatim in C++.
//
// To override the C++ type name for field F, define a field called TypeOf_F.
// This should be a string that will be used verbatim in C++.
//
// As an example, to define a 2-tuple with an enum and a string, one might:
// def MyTransition : Transition {
// MyEnum S1;
// int S2;
// }
// def MyAutomaton : GenericAutomaton }{
// let TransitionClass = "Transition";
// let SymbolFields = ["S1", "S2"];
// let TypeOf_S1 = "MyEnumInCxxKind";
// }
list<string> SymbolFields;
}
// All transitions inherit from Transition.
class Transition {
// A transition S' = T(S) is valid if, for every set bit in NewState, the
// corresponding bit in S is clear. That is:
// def T(S):
// S' = S | NewState
// return S' if S' != S else Failure
//
// The automaton generator uses this property to crawl the set of possible
// transitions from a starting state of 0b0.
bits<32> NewState;
}
|