## lustrec / src / causality.ml @ 365d1b07

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1 | a2d97a3e | ploc | (********************************************************************) |
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2 | (* *) |
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3 | (* The LustreC compiler toolset / The LustreC Development Team *) |
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4 | (* Copyright 2012 - -- ONERA - CNRS - INPT - LIFL *) |
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5 | (* *) |
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6 | (* LustreC is free software, distributed WITHOUT ANY WARRANTY *) |
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7 | (* under the terms of the GNU Lesser General Public License *) |
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8 | (* version 2.1. *) |
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9 | (* *) |
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10 | (* This file was originally from the Prelude compiler *) |
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11 | (* *) |
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12 | (********************************************************************) |
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13 | 22fe1c93 | ploc | |

14 | |||

15 | (** Simple modular syntactic causality analysis. Can reject correct |
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16 | programs, especially if the program is not flattened first. *) |
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17 | open Utils |
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18 | 8446bf03 | ploc | open Lustre_types |

19 | 22fe1c93 | ploc | open Corelang |

20 | open Graph |
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21 | |||

22 | e7cc5186 | ploc | |

23 | type identified_call = eq * tag |
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24 | eb837d74 | xthirioux | type error = |

25 | e7cc5186 | ploc | | DataCycle of ident list list (* multiple failed partitions at once *) |

26 | eb837d74 | xthirioux | | NodeCycle of ident list |

27 | |||

28 | exception Error of error |
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29 | 22fe1c93 | ploc | |

30 | |||

31 | eb837d74 | xthirioux | |

32 | 22fe1c93 | ploc | (* Dependency of mem variables on mem variables is cut off |

33 | by duplication of some mem vars into local node vars. |
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34 | Thus, cylic dependency errors may only arise between no-mem vars. |
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35 | 3bfed7f9 | xthirioux | non-mem variables are: |

36 | ec433d69 | xthirioux | - constants/inputs: not needed for causality/scheduling, needed only for detecting useless vars |

37 | 3bfed7f9 | xthirioux | - read mems (fake vars): same remark as above. |

38 | - outputs: decoupled from mems, if necessary |
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39 | - locals |
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40 | - instance vars (fake vars): simplify causality analysis |
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41 | 7352a936 | ploc | |

42 | 3bfed7f9 | xthirioux | global constants are not part of the dependency graph. |

43 | 7352a936 | ploc | |

44 | no_mem' = combinational(no_mem, mem); |
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45 | => (mem -> no_mem' -> no_mem) |
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46 | 3bfed7f9 | xthirioux | |

47 | 7352a936 | ploc | mem' = pre(no_mem, mem); |

48 | => (mem' -> no_mem), (mem -> mem') |
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49 | |||

50 | 22fe1c93 | ploc | Global roadmap: |

51 | - compute two dep graphs g (non-mem/non-mem&mem) and g' (mem/mem) |
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52 | - check cycles in g (a cycle means a dependency error) |
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53 | - break cycles in g' (it's legal !): |
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54 | - check cycles in g' |
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55 | - if any, introduce aux var to break cycle, then start afresh |
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56 | - insert g' into g |
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57 | - return g |
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58 | *) |
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59 | |||

60 | 695d6f2f | xthirioux | (* Tests whether [v] is a root of graph [g], i.e. a source *) |

61 | let is_graph_root v g = |
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62 | 7352a936 | ploc | IdentDepGraph.in_degree g v = 0 |

63 | 695d6f2f | xthirioux | |

64 | (* Computes the set of graph roots, i.e. the sources of acyclic graph [g] *) |
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65 | let graph_roots g = |
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66 | 7352a936 | ploc | IdentDepGraph.fold_vertex |

67 | (fun v roots -> if is_graph_root v g then v::roots else roots) |
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68 | g [] |
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69 | 695d6f2f | xthirioux | |

70 | 22fe1c93 | ploc | let add_edges src tgt g = |

71 | 7352a936 | ploc | (*List.iter (fun s -> List.iter (fun t -> Format.eprintf "add %s -> %s@." s t) tgt) src;*) |

72 | List.iter |
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73 | (fun s -> |
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74 | List.iter |
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75 | (fun t -> IdentDepGraph.add_edge g s t) |
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76 | tgt) |
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77 | src; |
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78 | 22fe1c93 | ploc | g |

79 | |||

80 | let add_vertices vtc g = |
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81 | 7352a936 | ploc | (*List.iter (fun t -> Format.eprintf "add %s@." t) vtc;*) |

82 | List.iter (fun v -> IdentDepGraph.add_vertex g v) vtc; |
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83 | 22fe1c93 | ploc | g |

84 | |||

85 | let new_graph () = |
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86 | 7352a936 | ploc | IdentDepGraph.create () |

87 | 22fe1c93 | ploc | |

88 | 333e3a25 | ploc | |

89 | 22fe1c93 | ploc | module ExprDep = struct |

90 | 333e3a25 | ploc | let get_node_eqs nd = |

91 | let eqs, auts = get_node_eqs nd in |
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92 | if auts != [] then assert false (* No call on causality on a Lustre model |
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93 | with automaton. They should be expanded by now. *); |
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94 | eqs |
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95 | |||

96 | 7352a936 | ploc | let instance_var_cpt = ref 0 |

97 | 22fe1c93 | ploc | |

98 | 3bfed7f9 | xthirioux | (* read vars represent input/mem read-only vars, |

99 | they are not part of the program/schedule, |
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100 | as they are not assigned, |
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101 | but used to compute useless inputs/mems. |
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102 | a mem read var represents a mem at the beginning of a cycle *) |
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103 | 7352a936 | ploc | let mk_read_var id = |

104 | e7cc5186 | ploc | Format.sprintf "#%s" id |

105 | 3bfed7f9 | xthirioux | |

106 | (* instance vars represent node instance calls, |
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107 | they are not part of the program/schedule, |
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108 | but used to simplify causality analysis |
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109 | 7352a936 | ploc | *) |

110 | let mk_instance_var id = |
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111 | e7cc5186 | ploc | incr instance_var_cpt; Format.sprintf "!%s_%d" id !instance_var_cpt |

112 | 22fe1c93 | ploc | |

113 | 7352a936 | ploc | let is_read_var v = v.[0] = '#' |

114 | 22fe1c93 | ploc | |

115 | 7352a936 | ploc | let is_instance_var v = v.[0] = '!' |

116 | 22fe1c93 | ploc | |

117 | 7352a936 | ploc | let is_ghost_var v = is_instance_var v || is_read_var v |

118 | 3bfed7f9 | xthirioux | |

119 | 7352a936 | ploc | let undo_read_var id = |

120 | assert (is_read_var id); |
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121 | String.sub id 1 (String.length id - 1) |
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122 | 22fe1c93 | ploc | |

123 | 7352a936 | ploc | let undo_instance_var id = |

124 | assert (is_instance_var id); |
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125 | String.sub id 1 (String.length id - 1) |
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126 | 54d032f5 | xthirioux | |

127 | 7352a936 | ploc | let eq_memory_variables mems eq = |

128 | let rec match_mem lhs rhs mems = |
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129 | match rhs.expr_desc with |
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130 | | Expr_fby _ |
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131 | | Expr_pre _ -> List.fold_right ISet.add lhs mems |
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132 | | Expr_tuple tl -> |
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133 | let lhs' = (transpose_list [lhs]) in |
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134 | List.fold_right2 match_mem lhs' tl mems |
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135 | | _ -> mems in |
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136 | match_mem eq.eq_lhs eq.eq_rhs mems |
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137 | 22fe1c93 | ploc | |

138 | 7352a936 | ploc | let node_memory_variables nd = |

139 | List.fold_left eq_memory_variables ISet.empty (get_node_eqs nd) |
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140 | 22fe1c93 | ploc | |

141 | 7352a936 | ploc | let node_input_variables nd = |

142 | List.fold_left (fun inputs v -> ISet.add v.var_id inputs) ISet.empty nd.node_inputs |
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143 | 8a183477 | xthirioux | |

144 | 7352a936 | ploc | let node_local_variables nd = |

145 | List.fold_left (fun locals v -> ISet.add v.var_id locals) ISet.empty nd.node_locals |
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146 | 3bfed7f9 | xthirioux | |

147 | 7352a936 | ploc | let node_constant_variables nd = |

148 | List.fold_left (fun locals v -> if v.var_dec_const then ISet.add v.var_id locals else locals) ISet.empty nd.node_locals |
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149 | ec433d69 | xthirioux | |

150 | 7352a936 | ploc | let node_output_variables nd = |

151 | List.fold_left (fun outputs v -> ISet.add v.var_id outputs) ISet.empty nd.node_outputs |
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152 | 3bfed7f9 | xthirioux | |

153 | 7352a936 | ploc | let node_auxiliary_variables nd = |

154 | ISet.diff (node_local_variables nd) (node_memory_variables nd) |
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155 | bb2ca5f4 | xthirioux | |

156 | 7352a936 | ploc | let node_variables nd = |

157 | let inputs = node_input_variables nd in |
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158 | let inoutputs = List.fold_left (fun inoutputs v -> ISet.add v.var_id inoutputs) inputs nd.node_outputs in |
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159 | List.fold_left (fun vars v -> ISet.add v.var_id vars) inoutputs nd.node_locals |
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160 | d4807c3d | xthirioux | |

161 | 22fe1c93 | ploc | (* computes the equivalence relation relating variables |

162 | in the same equation lhs, under the form of a table |
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163 | of class representatives *) |
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164 | 7352a936 | ploc | let node_eq_equiv nd = |

165 | let eq_equiv = Hashtbl.create 23 in |
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166 | List.iter (fun eq -> |
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167 | let first = List.hd eq.eq_lhs in |
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168 | List.iter (fun v -> Hashtbl.add eq_equiv v first) eq.eq_lhs |
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169 | ) |
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170 | (get_node_eqs nd); |
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171 | eq_equiv |
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172 | 22fe1c93 | ploc | |

173 | (* Create a tuple of right dimension, according to [expr] type, *) |
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174 | (* filled with variable [v] *) |
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175 | 7352a936 | ploc | let adjust_tuple v expr = |

176 | match expr.expr_type.Types.tdesc with |
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177 | | Types.Ttuple tl -> duplicate v (List.length tl) |
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178 | | _ -> [v] |
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179 | |||

180 | |||

181 | (* Add dependencies from lhs to rhs in [g, g'], *) |
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182 | (* no-mem/no-mem and mem/no-mem in g *) |
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183 | (* mem/mem in g' *) |
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184 | (* match (lhs_is_mem, ISet.mem x mems) with |
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185 | | (false, true ) -> (add_edges [x] lhs g, |
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186 | g') |
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187 | | (false, false) -> (add_edges lhs [x] g, |
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188 | g') |
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189 | | (true , false) -> (add_edges lhs [x] g, |
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190 | g') |
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191 | | (true , true ) -> (g, |
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192 | add_edges [x] lhs g') |
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193 | *) |
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194 | let add_eq_dependencies mems inputs node_vars eq (g, g') = |
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195 | let add_var lhs_is_mem lhs x (g, g') = |
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196 | if is_instance_var x || ISet.mem x node_vars then |
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197 | if ISet.mem x mems |
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198 | 3bfed7f9 | xthirioux | then |

199 | 7352a936 | ploc | let g = add_edges lhs [mk_read_var x] g in |

200 | if lhs_is_mem |
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201 | then |
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202 | (g, add_edges [x] lhs g') |
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203 | else |
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204 | (add_edges [x] lhs g, g') |
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205 | 3bfed7f9 | xthirioux | else |

206 | 7352a936 | ploc | let x = if ISet.mem x inputs then mk_read_var x else x in |

207 | (add_edges lhs [x] g, g') |
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208 | else (add_edges lhs [mk_read_var x] g, g') (* x is a global constant, treated as a read var *) |
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209 | in |
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210 | c9043042 | ploc | (* Add dependencies from [lhs] to rhs clock [ck]. *) |

211 | 7352a936 | ploc | let rec add_clock lhs_is_mem lhs ck g = |

212 | d4807c3d | xthirioux | (*Format.eprintf "add_clock %a@." Clocks.print_ck ck;*) |

213 | 7352a936 | ploc | match (Clocks.repr ck).Clocks.cdesc with |

214 | | Clocks.Con (ck', cr, _) -> add_var lhs_is_mem lhs (Clocks.const_of_carrier cr) (add_clock lhs_is_mem lhs ck' g) |
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215 | | Clocks.Ccarrying (_, ck') -> add_clock lhs_is_mem lhs ck' g |
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216 | | _ -> g |
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217 | in |
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218 | let rec add_dep lhs_is_mem lhs rhs g = |
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219 | 1b01da98 | ploc | (* Add mashup dependencies for a user-defined node instance [lhs] = [f]([e]) *) |

220 | (* i.e every input is connected to every output, through a ghost var *) |
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221 | 7352a936 | ploc | let mashup_appl_dependencies f e g = |

222 | e7cc5186 | ploc | let f_var = mk_instance_var (Format.sprintf "%s_%d" f eq.eq_loc.Location.loc_start.Lexing.pos_lnum) in |

223 | 7352a936 | ploc | List.fold_right (fun rhs -> add_dep lhs_is_mem (adjust_tuple f_var rhs) rhs) |

224 | (expr_list_of_expr e) (add_var lhs_is_mem lhs f_var g) |
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225 | in |
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226 | match rhs.expr_desc with |
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227 | | Expr_const _ -> g |
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228 | | Expr_fby (e1, e2) -> add_dep true lhs e2 (add_dep false lhs e1 g) |
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229 | | Expr_pre e -> add_dep true lhs e g |
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230 | | Expr_ident x -> add_var lhs_is_mem lhs x (add_clock lhs_is_mem lhs rhs.expr_clock g) |
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231 | | Expr_access (e1, d) |
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232 | | Expr_power (e1, d) -> add_dep lhs_is_mem lhs e1 (add_dep lhs_is_mem lhs (expr_of_dimension d) g) |
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233 | | Expr_array a -> List.fold_right (add_dep lhs_is_mem lhs) a g |
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234 | | Expr_tuple t -> List.fold_right2 (fun l r -> add_dep lhs_is_mem [l] r) lhs t g |
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235 | | Expr_merge (c, hl) -> add_var lhs_is_mem lhs c (List.fold_right (fun (_, h) -> add_dep lhs_is_mem lhs h) hl g) |
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236 | | Expr_ite (c, t, e) -> add_dep lhs_is_mem lhs c (add_dep lhs_is_mem lhs t (add_dep lhs_is_mem lhs e g)) |
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237 | | Expr_arrow (e1, e2) -> add_dep lhs_is_mem lhs e2 (add_dep lhs_is_mem lhs e1 g) |
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238 | | Expr_when (e, c, _) -> add_dep lhs_is_mem lhs e (add_var lhs_is_mem lhs c g) |
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239 | | Expr_appl (f, e, None) -> |
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240 | if Basic_library.is_expr_internal_fun rhs |
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241 | 1b01da98 | ploc | (* tuple component-wise dependency for internal operators *) |

242 | 7352a936 | ploc | then |

243 | List.fold_right (add_dep lhs_is_mem lhs) (expr_list_of_expr e) g |
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244 | 1b01da98 | ploc | (* mashed up dependency for user-defined operators *) |

245 | 7352a936 | ploc | else |

246 | mashup_appl_dependencies f e g |
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247 | | Expr_appl (f, e, Some c) -> |
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248 | mashup_appl_dependencies f e (add_dep lhs_is_mem lhs c g) |
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249 | in |
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250 | let g = |
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251 | List.fold_left |
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252 | (fun g lhs -> |
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253 | if ISet.mem lhs mems then |
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254 | add_vertices [lhs; mk_read_var lhs] g |
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255 | else |
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256 | add_vertices [lhs] g |
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257 | ) |
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258 | g eq.eq_lhs |
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259 | in |
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260 | add_dep false eq.eq_lhs eq.eq_rhs (g, g') |
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261 | |||

262 | 22fe1c93 | ploc | |

263 | 7352a936 | ploc | (* Returns the dependence graph for node [n] *) |

264 | let dependence_graph mems inputs node_vars n = |
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265 | instance_var_cpt := 0; |
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266 | let g = new_graph (), new_graph () in |
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267 | (* Basic dependencies *) |
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268 | let g = List.fold_right (add_eq_dependencies mems inputs node_vars) (get_node_eqs n) g in |
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269 | (* TODO Xavier: un essai ci dessous. Ca n'a pas l'air de résoudre le pb. Il |
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270 | faut imposer que les outputs dépendent des asserts pour identifier que les |
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271 | fcn calls des asserts sont évalués avant le noeuds *) |
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272 | |||

273 | (* (\* In order to introduce dependencies between assert expressions and the node, *) |
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274 | (* we build an artificial dependency between node output and each assert *) |
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275 | (* expr. While these are not valid equations, they should properly propage in *) |
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276 | (* function add_eq_dependencies *\) *) |
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277 | (* let g = *) |
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278 | (* let output_vars_as_lhs = ISet.elements (node_output_variables n) in *) |
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279 | (* List.fold_left (fun g ae -> *) |
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280 | (* let fake_eq = mkeq Location.dummy_loc (output_vars_as_lhs, ae.assert_expr) in *) |
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281 | (* add_eq_dependencies mems inputs node_vars fake_eq g *) |
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282 | (* ) g n.node_asserts in *) |
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283 | g |
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284 | |||

285 | end |
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286 | |||

287 | module NodeDep = struct |
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288 | 22fe1c93 | ploc | |

289 | 7352a936 | ploc | module ExprModule = |

290 | struct |
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291 | type t = expr |
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292 | let compare = compare |
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293 | let hash n = Hashtbl.hash n |
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294 | let equal n1 n2 = n1 = n2 |
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295 | end |
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296 | |||

297 | module ESet = Set.Make(ExprModule) |
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298 | |||

299 | let rec get_expr_calls prednode expr = |
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300 | match expr.expr_desc with |
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301 | | Expr_const _ |
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302 | | Expr_ident _ -> ESet.empty |
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303 | | Expr_access (e, _) |
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304 | | Expr_power (e, _) -> get_expr_calls prednode e |
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305 | | Expr_array t |
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306 | | Expr_tuple t -> List.fold_right (fun x set -> ESet.union (get_expr_calls prednode x) set) t ESet.empty |
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307 | | Expr_merge (_,hl) -> List.fold_right (fun (_,h) set -> ESet.union (get_expr_calls prednode h) set) hl ESet.empty |
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308 | | Expr_fby (e1,e2) |
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309 | | Expr_arrow (e1,e2) -> ESet.union (get_expr_calls prednode e1) (get_expr_calls prednode e2) |
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310 | | Expr_ite (c, t, e) -> ESet.union (get_expr_calls prednode c) (ESet.union (get_expr_calls prednode t) (get_expr_calls prednode e)) |
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311 | | Expr_pre e |
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312 | | Expr_when (e,_,_) -> get_expr_calls prednode e |
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313 | | Expr_appl (id,e, _) -> |
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314 | if not (Basic_library.is_expr_internal_fun expr) && prednode id |
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315 | then ESet.add expr (get_expr_calls prednode e) |
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316 | else (get_expr_calls prednode e) |
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317 | |||

318 | let get_callee expr = |
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319 | match expr.expr_desc with |
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320 | | Expr_appl (id, args, _) -> Some (id, expr_list_of_expr args) |
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321 | | _ -> None |
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322 | |||

323 | 333e3a25 | ploc | let get_calls prednode nd = |

324 | let accu f init objl = List.fold_left (fun accu o -> ESet.union accu (f o)) init objl in |
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325 | let get_eq_calls eq = get_expr_calls prednode eq.eq_rhs in |
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326 | let rec get_stmt_calls s = |
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327 | match s with Eq eq -> get_eq_calls eq | Aut aut -> get_aut_calls aut |
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328 | and get_aut_calls aut = |
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329 | let get_handler_calls h = |
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330 | let get_cond_calls c = accu (fun (_,e,_,_) -> get_expr_calls prednode e) ESet.empty c in |
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331 | let until = get_cond_calls h.hand_until in |
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332 | let unless = get_cond_calls h.hand_unless in |
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333 | let calls = ESet.union until unless in |
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334 | let calls = accu get_stmt_calls calls h.hand_stmts in |
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335 | let calls = accu (fun a -> get_expr_calls prednode a.assert_expr) calls h.hand_asserts in |
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336 | (* let calls = accu xx calls h.hand_annots in *) (* TODO: search for calls in eexpr *) |
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337 | calls |
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338 | in |
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339 | accu get_handler_calls ESet.empty aut.aut_handlers |
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340 | in |
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341 | let eqs, auts = get_node_eqs nd in |
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342 | let deps = accu get_eq_calls ESet.empty eqs in |
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343 | let deps = accu get_aut_calls deps auts in |
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344 | 7352a936 | ploc | ESet.elements deps |

345 | |||

346 | let dependence_graph prog = |
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347 | let g = new_graph () in |
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348 | let g = List.fold_right |
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349 | (fun td accu -> (* for each node we add its dependencies *) |
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350 | match td.top_decl_desc with |
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351 | 22fe1c93 | ploc | | Node nd -> |

352 | (*Format.eprintf "Computing deps of node %s@.@?" nd.node_id; *) |
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353 | 7352a936 | ploc | let accu = add_vertices [nd.node_id] accu in |

354 | let deps = List.map |
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355 | (fun e -> fst (desome (get_callee e))) |
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356 | 333e3a25 | ploc | (get_calls (fun _ -> true) nd) |

357 | 7352a936 | ploc | in |

358 | (* Adding assert expressions deps *) |
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359 | let deps_asserts = |
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360 | let prednode = (fun _ -> true) in (* what is this about? *) |
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361 | List.map |
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362 | (fun e -> fst (desome (get_callee e))) |
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363 | (ESet.elements |
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364 | (List.fold_left |
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365 | (fun accu assert_expr -> ESet.union accu (get_expr_calls prednode assert_expr)) |
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366 | ESet.empty |
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367 | (List.map (fun _assert -> _assert.assert_expr) nd.node_asserts) |
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368 | ) |
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369 | ) |
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370 | in |
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371 | 22fe1c93 | ploc | (*Format.eprintf "%a@.@?" (Utils.fprintf_list ~sep:"@." Format.pp_print_string) deps; *) |

372 | 7352a936 | ploc | add_edges [nd.node_id] (deps@deps_asserts) accu |

373 | 22fe1c93 | ploc | | _ -> assert false (* should not happen *) |

374 | 7352a936 | ploc | |

375 | ) prog g in |
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376 | g |
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377 | 22fe1c93 | ploc | |

378 | eb837d74 | xthirioux | (* keep subgraph of [gr] consisting of nodes accessible from node [v] *) |

379 | let slice_graph gr v = |
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380 | begin |
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381 | let gr' = new_graph () in |
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382 | IdentDepGraph.add_vertex gr' v; |
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383 | Bfs.iter_component (fun v -> IdentDepGraph.iter_succ (fun s -> IdentDepGraph.add_vertex gr' s; IdentDepGraph.add_edge gr' v s) gr v) gr v; |
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384 | gr' |
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385 | end |
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386 | 7352a936 | ploc | |

387 | 22fe1c93 | ploc | let rec filter_static_inputs inputs args = |

388 | 7352a936 | ploc | match inputs, args with |

389 | | [] , [] -> [] |
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390 | | v::vq, a::aq -> if v.var_dec_const && Types.is_dimension_type v.var_type then (dimension_of_expr a) :: filter_static_inputs vq aq else filter_static_inputs vq aq |
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391 | | _ -> assert false |
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392 | 22fe1c93 | ploc | |

393 | let compute_generic_calls prog = |
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394 | List.iter |
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395 | (fun td -> |
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396 | match td.top_decl_desc with |
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397 | | Node nd -> |
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398 | 7352a936 | ploc | let prednode n = is_generic_node (Hashtbl.find node_table n) in |

399 | 333e3a25 | ploc | nd.node_gencalls <- get_calls prednode nd |

400 | 22fe1c93 | ploc | | _ -> () |

401 | 7352a936 | ploc | |

402 | 22fe1c93 | ploc | ) prog |

403 | |||

404 | end |
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405 | |||

406 | e7cc5186 | ploc | |

407 | 22fe1c93 | ploc | module CycleDetection = struct |

408 | |||

409 | 7352a936 | ploc | (* ---- Look for cycles in a dependency graph *) |

410 | 22fe1c93 | ploc | module Cycles = Graph.Components.Make (IdentDepGraph) |

411 | |||

412 | let mk_copy_var n id = |
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413 | b08ffca7 | xthirioux | let used name = |

414 | 7352a936 | ploc | (List.exists (fun v -> v.var_id = name) n.node_locals) |

415 | b08ffca7 | xthirioux | || (List.exists (fun v -> v.var_id = name) n.node_inputs) |

416 | || (List.exists (fun v -> v.var_id = name) n.node_outputs) |
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417 | in mk_new_name used id |
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418 | 22fe1c93 | ploc | |

419 | let mk_copy_eq n var = |
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420 | 01c7d5e1 | ploc | let var_decl = get_node_var var n in |

421 | 22fe1c93 | ploc | let cp_var = mk_copy_var n var in |

422 | let expr = |
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423 | { expr_tag = Utils.new_tag (); |
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424 | expr_desc = Expr_ident var; |
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425 | expr_type = var_decl.var_type; |
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426 | expr_clock = var_decl.var_clock; |
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427 | expr_delay = Delay.new_var (); |
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428 | expr_annot = None; |
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429 | expr_loc = var_decl.var_loc } in |
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430 | 54d032f5 | xthirioux | { var_decl with var_id = cp_var; var_orig = false }, |

431 | 22fe1c93 | ploc | mkeq var_decl.var_loc ([cp_var], expr) |

432 | |||

433 | let wrong_partition g partition = |
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434 | match partition with |
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435 | | [id] -> IdentDepGraph.mem_edge g id id |
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436 | | _::_::_ -> true |
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437 | | [] -> assert false |
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438 | |||

439 | 7352a936 | ploc | (* Checks that the dependency graph [g] does not contain a cycle. Raises |

440 | [Cycle partition] if the succession of dependencies [partition] forms a cycle *) |
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441 | 22fe1c93 | ploc | let check_cycles g = |

442 | let scc_l = Cycles.scc_list g in |
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443 | e7cc5186 | ploc | let algebraic_loops = List.filter (wrong_partition g) scc_l in |

444 | if List.length algebraic_loops > 0 then |
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445 | raise (Error (DataCycle algebraic_loops)) |
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446 | (* We extract a hint to resolve the cycle: for each variable in the cycle |
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447 | which is defined by a call, we return the name of the node call and |
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448 | its specific id *) |
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449 | 22fe1c93 | ploc | |

450 | 7352a936 | ploc | (* Creates the sub-graph of [g] restricted to vertices and edges in partition *) |

451 | 22fe1c93 | ploc | let copy_partition g partition = |

452 | let copy_g = IdentDepGraph.create () in |
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453 | IdentDepGraph.iter_edges |
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454 | (fun src tgt -> |
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455 | if List.mem src partition && List.mem tgt partition |
||

456 | then IdentDepGraph.add_edge copy_g src tgt) |
||

457 | g |
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458 | |||

459 | 7352a936 | ploc | |

460 | (* Breaks dependency cycles in a graph [g] by inserting aux variables. |
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461 | [head] is a head of a non-trivial scc of [g]. |
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462 | In Lustre, this is legal only for mem/mem cycles *) |
||

463 | 22fe1c93 | ploc | let break_cycle head cp_head g = |

464 | let succs = IdentDepGraph.succ g head in |
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465 | IdentDepGraph.add_edge g head cp_head; |
||

466 | 3bfed7f9 | xthirioux | IdentDepGraph.add_edge g cp_head (ExprDep.mk_read_var head); |

467 | 22fe1c93 | ploc | List.iter |

468 | (fun s -> |
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469 | IdentDepGraph.remove_edge g head s; |
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470 | IdentDepGraph.add_edge g s cp_head) |
||

471 | succs |
||

472 | |||

473 | 7352a936 | ploc | (* Breaks cycles of the dependency graph [g] of memory variables [mems] |

474 | belonging in node [node]. Returns: |
||

475 | - a list of new auxiliary variable declarations |
||

476 | - a list of new equations |
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477 | - a modified acyclic version of [g] |
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478 | *) |
||

479 | 22fe1c93 | ploc | let break_cycles node mems g = |

480 | 333e3a25 | ploc | let eqs , auts = get_node_eqs node in |

481 | assert (auts = []); (* TODO: check: For the moment we assume that auts are expanded by now *) |
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482 | let (mem_eqs, non_mem_eqs) = List.partition (fun eq -> List.exists (fun v -> ISet.mem v mems) eq.eq_lhs) eqs in |
||

483 | 22fe1c93 | ploc | let rec break vdecls mem_eqs g = |

484 | let scc_l = Cycles.scc_list g in |
||

485 | let wrong = List.filter (wrong_partition g) scc_l in |
||

486 | match wrong with |
||

487 | | [] -> (vdecls, non_mem_eqs@mem_eqs, g) |
||

488 | | [head]::_ -> |
||

489 | 7352a936 | ploc | begin |

490 | IdentDepGraph.remove_edge g head head; |
||

491 | break vdecls mem_eqs g |
||

492 | end |
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493 | 22fe1c93 | ploc | | (head::part)::_ -> |

494 | 7352a936 | ploc | begin |

495 | let vdecl_cp_head, cp_eq = mk_copy_eq node head in |
||

496 | let pvar v = List.mem v part in |
||

497 | let fvar v = if v = head then vdecl_cp_head.var_id else v in |
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498 | let mem_eqs' = List.map (eq_replace_rhs_var pvar fvar) mem_eqs in |
||

499 | break_cycle head vdecl_cp_head.var_id g; |
||

500 | break (vdecl_cp_head::vdecls) (cp_eq::mem_eqs') g |
||

501 | end |
||

502 | 22fe1c93 | ploc | | _ -> assert false |

503 | in break [] mem_eqs g |
||

504 | |||

505 | end |
||

506 | |||

507 | 8f89eba8 | xthirioux | (* Module used to compute static disjunction of variables based upon their clocks. *) |

508 | module Disjunction = |
||

509 | struct |
||

510 | add75bcb | xthirioux | module ClockedIdentModule = |

511 | struct |
||

512 | type t = var_decl |
||

513 | let root_branch vdecl = Clocks.root vdecl.var_clock, Clocks.branch vdecl.var_clock |
||

514 | 28c58de1 | xthirioux | let compare v1 v2 = compare (root_branch v2, v2.var_id) (root_branch v1, v1.var_id) |

515 | add75bcb | xthirioux | end |

516 | |||

517 | module CISet = Set.Make(ClockedIdentModule) |
||

518 | 8f89eba8 | xthirioux | |

519 | add75bcb | xthirioux | (* map: var |-> list of disjoint vars, sorted in increasing branch length order, |

520 | maybe removing shorter branches *) |
||

521 | b6a94a4e | xthirioux | type disjoint_map = (ident, CISet.t) Hashtbl.t |

522 | 8f89eba8 | xthirioux | |

523 | a38c681e | xthirioux | let pp_ciset fmt t = |

524 | begin |
||

525 | Format.fprintf fmt "{@ "; |
||

526 | CISet.iter (fun s -> Format.fprintf fmt "%a@ " Printers.pp_var_name s) t; |
||

527 | Format.fprintf fmt "}@." |
||

528 | end |
||

529 | |||

530 | b1a97ade | xthirioux | let clock_disjoint_map vdecls = |

531 | 8f89eba8 | xthirioux | let map = Hashtbl.create 23 in |

532 | begin |
||

533 | add75bcb | xthirioux | List.iter |

534 | (fun v1 -> let disj_v1 = |
||

535 | List.fold_left |
||

536 | b6a94a4e | xthirioux | (fun res v2 -> if Clocks.disjoint v1.var_clock v2.var_clock then CISet.add v2 res else res) |

537 | CISet.empty |
||

538 | add75bcb | xthirioux | vdecls in |

539 | (* disjoint vdecls are stored in increasing branch length order *) |
||

540 | Hashtbl.add map v1.var_id disj_v1) |
||

541 | vdecls; |
||

542 | b6a94a4e | xthirioux | (map : disjoint_map) |

543 | 8f89eba8 | xthirioux | end |

544 | b1a97ade | xthirioux | |

545 | 45c13277 | xthirioux | (* merge variables [v] and [v'] in disjunction [map]. Then: |

546 | 7352a936 | ploc | - the mapping v' becomes v' |-> (map v) inter (map v') |

547 | - the mapping v |-> ... then disappears |
||

548 | - other mappings become x |-> (map x) \ (if v in x then v else v') |
||

549 | add75bcb | xthirioux | *) |

550 | 45c13277 | xthirioux | let merge_in_disjoint_map map v v' = |

551 | add75bcb | xthirioux | begin |

552 | b6a94a4e | xthirioux | Hashtbl.replace map v'.var_id (CISet.inter (Hashtbl.find map v.var_id) (Hashtbl.find map v'.var_id)); |

553 | Hashtbl.remove map v.var_id; |
||

554 | Hashtbl.iter (fun x map_x -> Hashtbl.replace map x (CISet.remove (if CISet.mem v map_x then v else v') map_x)) map; |
||

555 | add75bcb | xthirioux | end |

556 | |||

557 | 45c13277 | xthirioux | (* replace variable [v] by [v'] in disjunction [map]. |

558 | 7352a936 | ploc | [v'] is a dead variable. Then: |

559 | - the mapping v' becomes v' |-> (map v) |
||

560 | - the mapping v |-> ... then disappears |
||

561 | - all mappings become x |-> ((map x) \ { v}) union ({v'} if v in map x) |
||

562 | 45c13277 | xthirioux | *) |

563 | let replace_in_disjoint_map map v v' = |
||

564 | begin |
||

565 | Hashtbl.replace map v'.var_id (Hashtbl.find map v.var_id); |
||

566 | Hashtbl.remove map v.var_id; |
||

567 | Hashtbl.iter (fun x mapx -> Hashtbl.replace map x (if CISet.mem v mapx then CISet.add v' (CISet.remove v mapx) else CISet.remove v' mapx)) map; |
||

568 | end |
||

569 | |||

570 | (* remove variable [v] in disjunction [map]. Then: |
||

571 | 7352a936 | ploc | - the mapping v |-> ... then disappears |

572 | - all mappings become x |-> (map x) \ { v} |
||

573 | 45c13277 | xthirioux | *) |

574 | let remove_in_disjoint_map map v = |
||

575 | begin |
||

576 | Hashtbl.remove map v.var_id; |
||

577 | Hashtbl.iter (fun x mapx -> Hashtbl.replace map x (CISet.remove v mapx)) map; |
||

578 | end |
||

579 | |||

580 | b1a97ade | xthirioux | let pp_disjoint_map fmt map = |

581 | begin |
||

582 | Format.fprintf fmt "{ /* disjoint map */@."; |
||

583 | b6a94a4e | xthirioux | Hashtbl.iter (fun k v -> Format.fprintf fmt "%s # { %a }@." k (Utils.fprintf_list ~sep:", " Printers.pp_var_name) (CISet.elements v)) map; |

584 | b1a97ade | xthirioux | Format.fprintf fmt "}@." |

585 | end |
||

586 | 8f89eba8 | xthirioux | end |

587 | |||

588 | e7cc5186 | ploc | |

589 | 22fe1c93 | ploc | let pp_dep_graph fmt g = |

590 | begin |
||

591 | Format.fprintf fmt "{ /* graph */@."; |
||

592 | IdentDepGraph.iter_edges (fun s t -> Format.fprintf fmt "%s -> %s@." s t) g; |
||

593 | Format.fprintf fmt "}@." |
||

594 | end |
||

595 | |||

596 | eb837d74 | xthirioux | let pp_error fmt err = |

597 | match err with |
||

598 | | NodeCycle trace -> |
||

599 | e7cc5186 | ploc | Format.fprintf fmt "Causality error, cyclic node calls:@ @[<v 0>%a@]@ " |

600 | (fprintf_list ~sep:",@ " Format.pp_print_string) trace |
||

601 | | DataCycle traces -> ( |
||

602 | Format.fprintf fmt "Causality error, cyclic data dependencies:@ @[<v 0>%a@]@ " |
||

603 | (fprintf_list ~sep:";@ " |
||

604 | (fun fmt trace -> |
||

605 | Format.fprintf fmt "@[<v 0>{%a}@]" |
||

606 | (fprintf_list ~sep:",@ " Format.pp_print_string) |
||

607 | trace |
||

608 | )) traces |
||

609 | ) |
||

610 | |||

611 | 22fe1c93 | ploc | (* Merges elements of graph [g2] into graph [g1] *) |

612 | b1a97ade | xthirioux | let merge_with g1 g2 = |

613 | 45c13277 | xthirioux | begin |

614 | 22fe1c93 | ploc | IdentDepGraph.iter_vertex (fun v -> IdentDepGraph.add_vertex g1 v) g2; |

615 | IdentDepGraph.iter_edges (fun s t -> IdentDepGraph.add_edge g1 s t) g2 |
||

616 | 45c13277 | xthirioux | end |

617 | |||

618 | 57115ec0 | xthirioux | let world = "!!_world" |

619 | |||

620 | 45c13277 | xthirioux | let add_external_dependency outputs mems g = |

621 | begin |
||

622 | 57115ec0 | xthirioux | IdentDepGraph.add_vertex g world; |

623 | ISet.iter (fun o -> IdentDepGraph.add_edge g world o) outputs; |
||

624 | ISet.iter (fun m -> IdentDepGraph.add_edge g world m) mems; |
||

625 | 45c13277 | xthirioux | end |

626 | 22fe1c93 | ploc | |

627 | let global_dependency node = |
||

628 | let mems = ExprDep.node_memory_variables node in |
||

629 | ec433d69 | xthirioux | let inputs = |

630 | ISet.union |
||

631 | (ExprDep.node_input_variables node) |
||

632 | (ExprDep.node_constant_variables node) in |
||

633 | 45c13277 | xthirioux | let outputs = ExprDep.node_output_variables node in |

634 | 3bfed7f9 | xthirioux | let node_vars = ExprDep.node_variables node in |

635 | let (g_non_mems, g_mems) = ExprDep.dependence_graph mems inputs node_vars node in |
||

636 | 22fe1c93 | ploc | (*Format.eprintf "g_non_mems: %a" pp_dep_graph g_non_mems; |

637 | 7352a936 | ploc | Format.eprintf "g_mems: %a" pp_dep_graph g_mems;*) |

638 | e7cc5186 | ploc | try |

639 | CycleDetection.check_cycles g_non_mems; |
||

640 | let (vdecls', eqs', g_mems') = CycleDetection.break_cycles node mems g_mems in |
||

641 | (*Format.eprintf "g_mems': %a" pp_dep_graph g_mems';*) |
||

642 | begin |
||

643 | merge_with g_non_mems g_mems'; |
||

644 | add_external_dependency outputs mems g_non_mems; |
||

645 | { node with node_stmts = List.map (fun eq -> Eq eq) eqs'; node_locals = vdecls'@node.node_locals }, |
||

646 | g_non_mems |
||

647 | end |
||

648 | with Error (DataCycle _ as exc) -> ( |
||

649 | raise (Error (exc)) |
||

650 | ) |
||

651 | 22fe1c93 | ploc | |

652 | 70466917 | ploc | (* A module to sort dependencies among local variables when relying on clocked declarations *) |

653 | module VarClockDep = |
||

654 | struct |
||

655 | let rec get_clock_dep ck = |
||

656 | match ck.Clocks.cdesc with |
||

657 | | Clocks.Con (ck ,c ,l) -> l::(get_clock_dep ck) |
||

658 | | Clocks.Clink ck' |
||

659 | | Clocks.Ccarrying (_, ck') -> get_clock_dep ck' |
||

660 | | _ -> [] |
||

661 | |||

662 | let sort locals = |
||

663 | let g = new_graph () in |
||

664 | let g = List.fold_left ( |
||

665 | fun g var_decl -> |
||

666 | let deps = get_clock_dep var_decl.var_clock in |
||

667 | add_edges [var_decl.var_id] deps g |
||

668 | ) g locals |
||

669 | in |
||

670 | let sorted, no_deps = |
||

671 | TopologicalDepGraph.fold (fun vid (accu, remaining) -> ( |
||

672 | let select v = v.var_id = vid in |
||

673 | let selected, not_selected = List.partition select remaining in |
||

674 | selected@accu, not_selected |
||

675 | )) g ([],locals) |
||

676 | in |
||

677 | no_deps @ sorted |
||

678 | |||

679 | end |
||

680 | |||

681 | 22fe1c93 | ploc | (* Local Variables: *) |

682 | (* compile-command:"make -C .." *) |
||

683 | (* End: *) |