## lustrec / src / dimension.ml @ e8250987

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1 | b38ffff3 | 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 *) |
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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 | (********************************************************************) |
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11 | 0cbf0839 | ploc | |

12 | open Format |
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13 | |||

14 | type dim_expr = |
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15 | {mutable dim_desc: dim_desc; |
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16 | dim_loc: Location.t; |
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17 | dim_id: int} |
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18 | |||

19 | and dim_desc = |
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20 | | Dbool of bool |
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21 | | Dint of int |
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22 | | Dident of Utils.ident |
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23 | | Dappl of Utils.ident * dim_expr list |
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24 | | Dite of dim_expr * dim_expr * dim_expr |
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25 | | Dlink of dim_expr |
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26 | | Dvar |
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27 | | Dunivar |
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28 | |||

29 | exception Unify of dim_expr * dim_expr |
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30 | exception InvalidDimension |
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31 | |||

32 | let new_id = ref (-1) |
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33 | |||

34 | let mkdim loc dim = |
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35 | incr new_id; |
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36 | { dim_loc = loc; |
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37 | dim_id = !new_id; |
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38 | dim_desc = dim;} |
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39 | |||

40 | let mkdim_var () = |
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41 | incr new_id; |
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42 | { dim_loc = Location.dummy_loc; |
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43 | dim_id = !new_id; |
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44 | dim_desc = Dvar;} |
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45 | |||

46 | let mkdim_ident loc id = |
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47 | incr new_id; |
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48 | { dim_loc = loc; |
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49 | dim_id = !new_id; |
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50 | dim_desc = Dident id;} |
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51 | |||

52 | let mkdim_bool loc b = |
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53 | incr new_id; |
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54 | { dim_loc = loc; |
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55 | dim_id = !new_id; |
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56 | dim_desc = Dbool b;} |
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57 | |||

58 | let mkdim_int loc i = |
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59 | incr new_id; |
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60 | { dim_loc = loc; |
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61 | dim_id = !new_id; |
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62 | dim_desc = Dint i;} |
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63 | |||

64 | let mkdim_appl loc f args = |
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65 | incr new_id; |
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66 | { dim_loc = loc; |
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67 | dim_id = !new_id; |
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68 | dim_desc = Dappl (f, args);} |
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69 | |||

70 | let mkdim_ite loc i t e = |
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71 | incr new_id; |
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72 | { dim_loc = loc; |
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73 | dim_id = !new_id; |
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74 | dim_desc = Dite (i, t, e);} |
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75 | |||

76 | let rec pp_dimension fmt dim = |
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77 | (*fprintf fmt "<%d>" (Obj.magic dim: int);*) |
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78 | match dim.dim_desc with |
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79 | | Dident id -> |
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80 | fprintf fmt "%s" id |
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81 | | Dint i -> |
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82 | fprintf fmt "%d" i |
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83 | | Dbool b -> |
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84 | fprintf fmt "%B" b |
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85 | | Dite (i, t, e) -> |
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86 | fprintf fmt "if %a then %a else %a" |
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87 | pp_dimension i pp_dimension t pp_dimension e |
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88 | | Dappl (f, [arg]) -> |
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89 | fprintf fmt "(%s%a)" f pp_dimension arg |
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90 | | Dappl (f, [arg1; arg2]) -> |
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91 | fprintf fmt "(%a%s%a)" pp_dimension arg1 f pp_dimension arg2 |
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92 | | Dappl (_, _) -> assert false |
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93 | | Dlink dim' -> fprintf fmt "%a" pp_dimension dim' |
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94 | | Dvar -> fprintf fmt "_%s" (Utils.name_of_dimension dim.dim_id) |
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95 | | Dunivar -> fprintf fmt "'%s" (Utils.name_of_dimension dim.dim_id) |
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96 | |||

97 | let rec multi_dimension_product loc dim_list = |
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98 | match dim_list with |
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99 | | [] -> mkdim_int loc 1 |
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100 | | [d] -> d |
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101 | | d::q -> mkdim_appl loc "*" [d; multi_dimension_product loc q] |
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102 | |||

103 | (* Builds a dimension expr representing 0<=d *) |
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104 | let check_bound loc d = |
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105 | mkdim_appl loc "<=" [mkdim_int loc 0; d] |
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106 | |||

107 | (* Builds a dimension expr representing 0<=i<d *) |
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108 | let check_access loc d i = |
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109 | mkdim_appl loc "&&" |
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110 | [mkdim_appl loc "<=" [mkdim_int loc 0; i]; |
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111 | mkdim_appl loc "<" [i; d]] |
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112 | |||

113 | let rec repr dim = |
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114 | match dim.dim_desc with |
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115 | | Dlink dim' -> repr dim' |
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116 | | _ -> dim |
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117 | |||

118 | let rec is_eq_dimension d1 d2 = |
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119 | let d1 = repr d1 in |
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120 | let d2 = repr d2 in |
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121 | d1.dim_id = d2.dim_id || |
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122 | match d1.dim_desc, d2.dim_desc with |
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123 | | Dappl (f1, args1), Dappl (f2, args2) -> |
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124 | f1 = f2 && List.length args1 = List.length args2 && List.for_all2 is_eq_dimension args1 args2 |
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125 | | Dite (c1, t1, e1), Dite (c2, t2, e2) -> |
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126 | is_eq_dimension c1 c2 && is_eq_dimension t1 t2 && is_eq_dimension e1 e2 |
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127 | 6aeb3388 | xthirioux | | Dint i1 , Dint i2 -> i1 = i2 |

128 | | Dbool b1 , Dbool b2 -> b1 = b2 |
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129 | | Dident id1, Dident id2 -> id1 = id2 |
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130 | | _ -> false |
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131 | 0cbf0839 | ploc | |

132 | let is_dimension_const dim = |
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133 | match (repr dim).dim_desc with |
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134 | | Dint _ |
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135 | | Dbool _ -> true |
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136 | | _ -> false |
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137 | |||

138 | let size_const_dimension dim = |
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139 | match (repr dim).dim_desc with |
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140 | | Dint i -> i |
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141 | | Dbool b -> if b then 1 else 0 |
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142 | | _ -> (Format.eprintf "internal error: size_const_dimension %a@." pp_dimension dim; assert false) |
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143 | |||

144 | let rec is_polymorphic dim = |
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145 | match dim.dim_desc with |
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146 | | Dident _ |
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147 | | Dint _ |
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148 | | Dbool _ |
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149 | | Dvar -> false |
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150 | | Dite (i, t, e) -> |
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151 | is_polymorphic i || is_polymorphic t || is_polymorphic e |
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152 | | Dappl (_, args) -> List.exists is_polymorphic args |
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153 | | Dlink dim' -> is_polymorphic dim' |
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154 | | Dunivar -> true |
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155 | |||

156 | (* Normalizes a dimension expression, i.e. canonicalize all polynomial |
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157 | sub-expressions, where unsupported operations (eg. '/') are treated |
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158 | as variables. |
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159 | *) |
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160 | |||

161 | let rec factors dim = |
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162 | match dim.dim_desc with |
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163 | | Dappl (f, args) when f = "*" -> List.flatten (List.map factors args) |
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164 | | _ -> [dim] |
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165 | |||

166 | let rec factors_constant fs = |
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167 | match fs with |
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168 | | [] -> 1 |
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169 | | f::q -> |
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170 | match f.dim_desc with |
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171 | | Dint i -> i * (factors_constant q) |
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172 | | _ -> factors_constant q |
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173 | |||

174 | let norm_factors fs = |
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175 | let k = factors_constant fs in |
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176 | let nk = List.filter (fun d -> not (is_dimension_const d)) fs in |
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177 | (k, List.sort Pervasives.compare nk) |
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178 | |||

179 | let rec terms dim = |
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180 | match dim.dim_desc with |
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181 | | Dappl (f, args) when f = "+" -> List.flatten (List.map terms args) |
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182 | | _ -> [dim] |
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183 | |||

184 | let rec normalize dim = |
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185 | dim |
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186 | 8b3afe43 | xthirioux | (* |

187 | let rec unnormalize loc l = |
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188 | let l = List.sort (fun (k, l) (k', l') -> compare l l') (List.map (fun (k, l) -> (k, List.sort compare l)) l) in |
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189 | match l with |
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190 | | [] -> mkdim_int loc 0 |
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191 | | t::q -> |
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192 | List.fold_left (fun res (k, l) -> mkdim_appl loc "+" res (mkdim_appl loc "*" (mkdim_int loc k) l)) t q |
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193 | *) |
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194 | 0cbf0839 | ploc | let copy copy_dim_vars dim = |

195 | let rec cp dim = |
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196 | match dim.dim_desc with |
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197 | | Dbool _ |
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198 | | Dint _ -> dim |
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199 | | Dident id -> mkdim_ident dim.dim_loc id |
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200 | | Dite (c, t, e) -> mkdim_ite dim.dim_loc (cp c) (cp t) (cp e) |
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201 | | Dappl (id, args) -> mkdim_appl dim.dim_loc id (List.map cp args) |
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202 | | Dlink dim' -> cp dim' |
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203 | | Dunivar -> assert false |
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204 | | Dvar -> |
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205 | try |
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206 | List.assoc dim.dim_id !copy_dim_vars |
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207 | with Not_found -> |
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208 | let var = mkdim dim.dim_loc Dvar in |
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209 | copy_dim_vars := (dim.dim_id, var)::!copy_dim_vars; |
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210 | var |
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211 | in cp dim |
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212 | |||

213 | (* Partially evaluates a 'simple' dimension expr [dim], i.e. an expr containing only int and bool |
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214 | constructs, with conditionals. [eval_const] is a typing environment for static values. [eval_op] is an evaluation env for basic operators. The argument [dim] is modified in-place. |
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215 | *) |
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216 | let rec eval eval_op eval_const dim = |
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217 | match dim.dim_desc with |
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218 | | Dbool _ |
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219 | | Dint _ -> () |
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220 | | Dident id -> |
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221 | (match eval_const id with |
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222 | | Some val_dim -> dim.dim_desc <- Dlink val_dim |
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223 | 01d48bb0 | xthirioux | | None -> (Format.eprintf "invalid %a@." pp_dimension dim; raise InvalidDimension)) |

224 | 0cbf0839 | ploc | | Dite (c, t, e) -> |

225 | begin |
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226 | eval eval_op eval_const c; |
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227 | eval eval_op eval_const t; |
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228 | eval eval_op eval_const e; |
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229 | match (repr c).dim_desc with |
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230 | | Dbool b -> dim.dim_desc <- Dlink (if b then t else e) |
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231 | | _ -> () |
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232 | end |
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233 | | Dappl (id, args) -> |
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234 | begin |
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235 | List.iter (eval eval_op eval_const) args; |
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236 | if List.for_all is_dimension_const args |
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237 | then dim.dim_desc <- Env.lookup_value eval_op id (List.map (fun d -> (repr d).dim_desc) args) |
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238 | end |
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239 | | Dlink dim' -> |
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240 | begin |
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241 | eval eval_op eval_const dim'; |
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242 | dim.dim_desc <- Dlink (repr dim') |
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243 | end |
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244 | | Dvar -> () |
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245 | | Dunivar -> assert false |
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246 | 53206908 | xthirioux | |

247 | 8b3afe43 | xthirioux | let uneval const univar = |

248 | 0cbf0839 | ploc | let univar = repr univar in |

249 | match univar.dim_desc with |
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250 | | Dunivar -> univar.dim_desc <- Dident const |
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251 | | _ -> assert false |
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252 | |||

253 | (** [occurs dvar dim] returns true if the dimension variable [dvar] occurs in |
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254 | dimension expression [dim]. False otherwise. *) |
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255 | let rec occurs dvar dim = |
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256 | let dim = repr dim in |
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257 | match dim.dim_desc with |
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258 | | Dvar -> dim.dim_id = dvar.dim_id |
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259 | | Dident _ |
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260 | | Dint _ |
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261 | | Dbool _ |
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262 | | Dunivar -> false |
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263 | | Dite (i, t, e) -> |
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264 | occurs dvar i || occurs dvar t || occurs dvar e |
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265 | | Dappl (_, args) -> List.exists (occurs dvar) args |
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266 | | Dlink _ -> assert false |
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267 | |||

268 | (* Promote monomorphic dimension variables to polymorphic variables. |
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269 | Generalize by side-effects *) |
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270 | let rec generalize dim = |
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271 | match dim.dim_desc with |
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272 | | Dvar -> dim.dim_desc <- Dunivar |
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273 | | Dident _ |
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274 | | Dint _ |
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275 | | Dbool _ |
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276 | | Dunivar -> () |
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277 | | Dite (i, t, e) -> |
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278 | generalize i; generalize t; generalize e |
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279 | | Dappl (_, args) -> List.iter generalize args |
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280 | | Dlink dim' -> generalize dim' |
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281 | |||

282 | (* Instantiate polymorphic dimension variables to monomorphic variables. |
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283 | Also duplicates the whole term structure (but the constant sub-terms). |
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284 | *) |
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285 | let rec instantiate inst_dim_vars dim = |
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286 | let dim = repr dim in |
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287 | match dim.dim_desc with |
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288 | 7dedc5f0 | xthirioux | | Dvar |

289 | 0cbf0839 | ploc | | Dident _ |

290 | | Dint _ |
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291 | | Dbool _ -> dim |
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292 | | Dite (i, t, e) -> |
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293 | mkdim_ite dim.dim_loc |
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294 | (instantiate inst_dim_vars i) |
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295 | (instantiate inst_dim_vars t) |
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296 | (instantiate inst_dim_vars e) |
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297 | | Dappl (f, args) -> mkdim_appl dim.dim_loc f (List.map (instantiate inst_dim_vars) args) |
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298 | | Dlink dim' -> assert false (*mkdim dim.dim_loc (Dlink (instantiate inst_dim_vars dim'))*) |
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299 | | Dunivar -> |
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300 | try |
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301 | List.assoc dim.dim_id !inst_dim_vars |
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302 | with Not_found -> |
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303 | let var = mkdim dim.dim_loc Dvar in |
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304 | inst_dim_vars := (dim.dim_id, var)::!inst_dim_vars; |
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305 | var |
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306 | |||

307 | 6b4d172f | xthirioux | (** destructive unification of [dim1] and [dim2]. |

308 | Raises [Unify (t1,t2)] if the types are not unifiable. |
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309 | if [semi] unification is required, |
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310 | [dim1] should furthermore be an instance of [dim2] *) |
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311 | let unify ?(semi=false) dim1 dim2 = |
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312 | let rec unif dim1 dim2 = |
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313 | let dim1 = repr dim1 in |
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314 | let dim2 = repr dim2 in |
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315 | if dim1.dim_id = dim2.dim_id then () else |
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316 | match dim1.dim_desc, dim2.dim_desc with |
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317 | | Dunivar, _ |
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318 | | _ , Dunivar -> assert false |
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319 | | Dvar , Dvar -> |
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320 | if dim1.dim_id < dim2.dim_id |
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321 | then dim2.dim_desc <- Dlink dim1 |
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322 | else dim1.dim_desc <- Dlink dim2 |
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323 | | Dvar , _ when (not semi) && not (occurs dim1 dim2) -> |
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324 | dim1.dim_desc <- Dlink dim2 |
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325 | | _ , Dvar when not (occurs dim2 dim1) -> |
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326 | dim2.dim_desc <- Dlink dim1 |
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327 | | Dite(i1, t1, e1), Dite(i2, t2, e2) -> |
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328 | begin |
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329 | unif i1 i2; |
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330 | unif t1 t2; |
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331 | unif e1 e2 |
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332 | end |
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333 | | Dappl(f1, args1), Dappl(f2, args2) when f1 = f2 && List.length args1 = List.length args2 -> |
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334 | List.iter2 unif args1 args2 |
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335 | | Dbool b1, Dbool b2 when b1 = b2 -> () |
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336 | | Dint i1 , Dint i2 when i1 = i2 -> () |
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337 | | Dident id1, Dident id2 when id1 = id2 -> () |
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338 | | _ -> raise (Unify (dim1, dim2)) |
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339 | in unif dim1 dim2 |
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340 | 0cbf0839 | ploc | |

341 | 333e3a25 | ploc | let rec rename fnode fvar e = |

342 | { e with dim_desc = expr_replace_var_desc fnode fvar e.dim_desc } |
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343 | and expr_replace_var_desc fnode fvar e = |
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344 | let re = rename fnode fvar in |
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345 | c02d255e | ploc | match e with |

346 | | Dvar |
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347 | | Dunivar |
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348 | | Dbool _ |
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349 | | Dint _ -> e |
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350 | | Dident v -> Dident (fvar v) |
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351 | 333e3a25 | ploc | | Dappl (id, el) -> Dappl (fnode id, List.map re el) |

352 | c02d255e | ploc | | Dite (g,t,e) -> Dite (re g, re t, re e) |

353 | | Dlink e -> Dlink (re e) |
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354 | b3f91fdb | xthirioux | |

355 | let rec expr_replace_expr fvar e = |
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356 | { e with dim_desc = expr_replace_expr_desc fvar e.dim_desc } |
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357 | and expr_replace_expr_desc fvar e = |
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358 | let re = expr_replace_expr fvar in |
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359 | match e with |
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360 | | Dvar |
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361 | | Dunivar |
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362 | | Dbool _ |
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363 | | Dint _ -> e |
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364 | | Dident v -> (fvar v).dim_desc |
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365 | | Dappl (id, el) -> Dappl (id, List.map re el) |
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366 | | Dite (g,t,e) -> Dite (re g, re t, re e) |
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367 | | Dlink e -> Dlink (re e) |