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