adamc@1200
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1 (* Copyright (c) 2010, Adam Chlipala
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2 * All rights reserved.
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3 *
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4 * Redistribution and use in source and binary forms, with or without
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5 * modification, are permitted provided that the following conditions are met:
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6 *
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7 * - Redistributions of source code must retain the above copyright notice,
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8 * this list of conditions and the following disclaimer.
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9 * - Redistributions in binary form must reproduce the above copyright notice,
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10 * this list of conditions and the following disclaimer in the documentation
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11 * and/or other materials provided with the distribution.
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12 * - The names of contributors may not be used to endorse or promote products
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13 * derived from this software without specific prior written permission.
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14 *
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15 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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16 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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17 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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18 * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
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19 * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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20 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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21 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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22 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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23 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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24 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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25 * POSSIBILITY OF SUCH DAMAGE.
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26 *)
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27
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28 structure Iflow :> IFLOW = struct
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29
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30 open Mono
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31
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32 structure IS = IntBinarySet
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33 structure IM = IntBinaryMap
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34
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35 structure SS = BinarySetFn(struct
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36 type ord_key = string
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37 val compare = String.compare
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38 end)
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39
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40 val writers = ["htmlifyInt_w",
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41 "htmlifyFloat_w",
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42 "htmlifyString_w",
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43 "htmlifyBool_w",
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44 "htmlifyTime_w",
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45 "attrifyInt_w",
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46 "attrifyFloat_w",
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47 "attrifyString_w",
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48 "attrifyChar_w",
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49 "urlifyInt_w",
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50 "urlifyFloat_w",
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51 "urlifyString_w",
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52 "urlifyBool_w",
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53 "set_cookie"]
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54
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55 val writers = SS.addList (SS.empty, writers)
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56
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57 type lvar = int
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58
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59 datatype exp =
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60 Const of Prim.t
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61 | Var of int
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62 | Lvar of lvar
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63 | Func of string * exp list
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64 | Recd of (string * exp) list
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65 | Proj of exp * string
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66 | Finish
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67
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68 datatype reln =
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69 Known
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70 | Sql of string
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71 | DtCon of string
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72 | Eq
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73 | Ne
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74 | Lt
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75 | Le
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76 | Gt
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77 | Ge
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78
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79 datatype prop =
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80 True
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81 | False
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82 | Unknown
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83 | And of prop * prop
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84 | Or of prop * prop
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85 | Reln of reln * exp list
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86 | Cond of exp * prop
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87
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88 local
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89 open Print
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90 val string = PD.string
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91 in
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92
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93 fun p_exp e =
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94 case e of
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95 Const p => Prim.p_t p
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96 | Var n => string ("x" ^ Int.toString n)
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97 | Lvar n => string ("X" ^ Int.toString n)
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98 | Func (f, es) => box [string (f ^ "("),
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99 p_list p_exp es,
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100 string ")"]
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101 | Recd xes => box [string "{",
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102 p_list (fn (x, e) => box [string x,
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103 space,
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104 string "=",
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105 space,
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106 p_exp e]) xes,
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107 string "}"]
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108 | Proj (e, x) => box [p_exp e,
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109 string ("." ^ x)]
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110 | Finish => string "FINISH"
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111
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112 fun p_bop s es =
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113 case es of
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114 [e1, e2] => box [p_exp e1,
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115 space,
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116 string s,
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117 space,
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118 p_exp e2]
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119 | _ => raise Fail "Iflow.p_bop"
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120
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121 fun p_reln r es =
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122 case r of
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123 Known =>
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124 (case es of
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125 [e] => box [string "known(",
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126 p_exp e,
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127 string ")"]
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128 | _ => raise Fail "Iflow.p_reln: Known")
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129 | Sql s => box [string (s ^ "("),
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130 p_list p_exp es,
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131 string ")"]
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132 | DtCon s => box [string (s ^ "("),
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133 p_list p_exp es,
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134 string ")"]
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135 | Eq => p_bop "=" es
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136 | Ne => p_bop "<>" es
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137 | Lt => p_bop "<" es
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138 | Le => p_bop "<=" es
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139 | Gt => p_bop ">" es
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140 | Ge => p_bop ">=" es
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141
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142 fun p_prop p =
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143 case p of
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144 True => string "True"
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145 | False => string "False"
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146 | Unknown => string "??"
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147 | And (p1, p2) => box [string "(",
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148 p_prop p1,
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149 string ")",
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150 space,
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151 string "&&",
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152 space,
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153 string "(",
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154 p_prop p2,
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155 string ")"]
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156 | Or (p1, p2) => box [string "(",
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157 p_prop p1,
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158 string ")",
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159 space,
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160 string "||",
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161 space,
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162 string "(",
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163 p_prop p2,
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164 string ")"]
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165 | Reln (r, es) => p_reln r es
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166 | Cond (e, p) => box [string "(",
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167 p_exp e,
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168 space,
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169 string "==",
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170 space,
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171 p_prop p,
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172 string ")"]
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173
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174 end
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175
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176 local
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177 val count = ref 1
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178 in
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179 fun newLvar () =
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180 let
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181 val n = !count
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182 in
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183 count := n + 1;
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184 n
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185 end
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186 end
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187
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188 fun isKnown e =
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189 case e of
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190 Const _ => true
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191 | Func (_, es) => List.all isKnown es
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192 | Recd xes => List.all (isKnown o #2) xes
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193 | Proj (e, _) => isKnown e
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194 | _ => false
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195
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196 fun isFinish e =
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197 case e of
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198 Finish => true
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199 | _ => false
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200
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201 val unif = ref (IM.empty : exp IM.map)
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202
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203 fun reset () = unif := IM.empty
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204 fun save () = !unif
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205 fun restore x = unif := x
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206
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207 fun simplify e =
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208 case e of
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209 Const _ => e
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210 | Var _ => e
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211 | Lvar n =>
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212 (case IM.find (!unif, n) of
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213 NONE => e
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214 | SOME e => simplify e)
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215 | Func (f, es) =>
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216 let
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217 val es = map simplify es
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218
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219 fun default () = Func (f, es)
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220 in
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221 if List.exists isFinish es then
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222 Finish
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223 else if String.isPrefix "un" f then
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224 case es of
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225 [Func (f', [e])] => if f' = String.extract (f, 2, NONE) then
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226 e
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227 else
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228 default ()
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229 | _ => default ()
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230 else
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231 default ()
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232 end
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233 | Recd xes =>
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234 let
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235 val xes = map (fn (x, e) => (x, simplify e)) xes
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236 in
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237 if List.exists (isFinish o #2) xes then
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238 Finish
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239 else
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240 Recd xes
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241 end
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242 | Proj (e, s) =>
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243 (case simplify e of
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244 Recd xes =>
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245 getOpt (ListUtil.search (fn (x, e') => if x = s then SOME e' else NONE) xes, Recd xes)
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246 | e' =>
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247 if isFinish e' then
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248 Finish
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249 else
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250 Proj (e', s))
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251 | Finish => Finish
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252
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253 datatype atom =
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254 AReln of reln * exp list
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255 | ACond of exp * prop
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256
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257 fun p_atom a =
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258 p_prop (case a of
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259 AReln x => Reln x
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260 | ACond x => Cond x)
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261
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262 fun decomp fals or =
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263 let
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264 fun decomp p k =
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265 case p of
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266 True => k []
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267 | False => fals
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268 | Unknown => k []
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269 | And (p1, p2) =>
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270 decomp p1 (fn ps1 =>
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271 decomp p2 (fn ps2 =>
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272 k (ps1 @ ps2)))
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273 | Or (p1, p2) =>
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274 or (decomp p1 k, fn () => decomp p2 k)
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275 | Reln x => k [AReln x]
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276 | Cond x => k [ACond x]
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277 in
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278 decomp
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279 end
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280
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281 fun lvarIn lv =
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282 let
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283 fun lvi e =
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284 case e of
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285 Const _ => false
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286 | Var _ => false
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287 | Lvar lv' => lv' = lv
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288 | Func (_, es) => List.exists lvi es
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289 | Recd xes => List.exists (lvi o #2) xes
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290 | Proj (e, _) => lvi e
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291 | Finish => false
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292 in
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293 lvi
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294 end
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295
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296 fun lvarInP lv =
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297 let
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298 fun lvi p =
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299 case p of
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300 True => false
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301 | False => false
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302 | Unknown => true
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303 | And (p1, p2) => lvi p1 orelse lvi p2
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304 | Or (p1, p2) => lvi p1 orelse lvi p2
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305 | Reln (_, es) => List.exists (lvarIn lv) es
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306 | Cond (e, p) => lvarIn lv e orelse lvi p
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307 in
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308 lvi
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309 end
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310
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311 fun varIn lv =
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312 let
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313 fun lvi e =
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314 case e of
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315 Const _ => false
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316 | Lvar _ => false
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317 | Var lv' => lv' = lv
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318 | Func (_, es) => List.exists lvi es
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319 | Recd xes => List.exists (lvi o #2) xes
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320 | Proj (e, _) => lvi e
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321 | Finish => false
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322 in
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323 lvi
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324 end
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325
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326 fun varInP lv =
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327 let
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328 fun lvi p =
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329 case p of
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330 True => false
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331 | False => false
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332 | Unknown => false
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333 | And (p1, p2) => lvi p1 orelse lvi p2
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334 | Or (p1, p2) => lvi p1 orelse lvi p2
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335 | Reln (_, es) => List.exists (varIn lv) es
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336 | Cond (e, p) => varIn lv e orelse lvi p
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337 in
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338 lvi
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339 end
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340
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341 fun eq' (e1, e2) =
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342 case (e1, e2) of
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343 (Const p1, Const p2) => Prim.equal (p1, p2)
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344 | (Var n1, Var n2) => n1 = n2
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345
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346 | (Lvar n1, _) =>
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347 (case IM.find (!unif, n1) of
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348 SOME e1 => eq' (e1, e2)
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349 | NONE =>
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350 case e2 of
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351 Lvar n2 =>
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352 (case IM.find (!unif, n2) of
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353 SOME e2 => eq' (e1, e2)
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354 | NONE => n1 = n2
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355 orelse (unif := IM.insert (!unif, n2, e1);
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356 true))
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357 | _ =>
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358 if lvarIn n1 e2 then
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359 false
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360 else
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361 (unif := IM.insert (!unif, n1, e2);
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362 true))
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363
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364 | (_, Lvar n2) =>
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365 (case IM.find (!unif, n2) of
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366 SOME e2 => eq' (e1, e2)
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367 | NONE =>
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368 if lvarIn n2 e1 then
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369 false
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370 else
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371 ((*Print.prefaces "unif" [("n2", Print.PD.string (Int.toString n2)),
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adamc@1213
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372 ("e1", p_exp e1)];*)
|
adamc@1213
|
373 unif := IM.insert (!unif, n2, e1);
|
adamc@1202
|
374 true))
|
adamc@1202
|
375
|
adamc@1202
|
376 | (Func (f1, es1), Func (f2, es2)) => f1 = f2 andalso ListPair.allEq eq' (es1, es2)
|
adamc@1202
|
377 | (Recd xes1, Recd xes2) => ListPair.allEq (fn ((x1, e1), (x2, e2)) => x1 = x2 andalso eq' (e1, e2)) (xes1, xes2)
|
adamc@1202
|
378 | (Proj (e1, s1), Proj (e2, s2)) => eq' (e1, e2) andalso s1 = s2
|
adamc@1202
|
379 | (Finish, Finish) => true
|
adamc@1202
|
380 | _ => false
|
adamc@1202
|
381
|
adamc@1202
|
382 fun eq (e1, e2) =
|
adamc@1202
|
383 let
|
adamc@1203
|
384 val saved = save ()
|
adamc@1202
|
385 in
|
adamc@1202
|
386 if eq' (simplify e1, simplify e2) then
|
adamc@1202
|
387 true
|
adamc@1202
|
388 else
|
adamc@1203
|
389 (restore saved;
|
adamc@1202
|
390 false)
|
adamc@1202
|
391 end
|
adamc@1202
|
392
|
adamc@1208
|
393 val debug = ref false
|
adamc@1208
|
394
|
adamc@1211
|
395 fun eeq (e1, e2) =
|
adamc@1211
|
396 case (e1, e2) of
|
adamc@1211
|
397 (Const p1, Const p2) => Prim.equal (p1, p2)
|
adamc@1211
|
398 | (Var n1, Var n2) => n1 = n2
|
adamc@1211
|
399 | (Lvar n1, Lvar n2) => n1 = n2
|
adamc@1211
|
400 | (Func (f1, es1), Func (f2, es2)) => f1 = f2 andalso ListPair.allEq eeq (es1, es2)
|
adamc@1211
|
401 | (Recd xes1, Recd xes2) => length xes1 = length xes2 andalso
|
adamc@1211
|
402 List.all (fn (x2, e2) =>
|
adamc@1211
|
403 List.exists (fn (x1, e1) => x1 = x2 andalso eeq (e1, e2)) xes2) xes1
|
adamc@1211
|
404 | (Proj (e1, x1), Proj (e2, x2)) => eeq (e1, e2) andalso x1 = x2
|
adamc@1211
|
405 | (Finish, Finish) => true
|
adamc@1211
|
406 | _ => false
|
adamc@1211
|
407
|
adamc@1208
|
408 (* Congruence closure *)
|
adamc@1208
|
409 structure Cc :> sig
|
adamc@1208
|
410 type t
|
adamc@1208
|
411 val empty : t
|
adamc@1208
|
412 val assert : t * exp * exp -> t
|
adamc@1208
|
413 val query : t * exp * exp -> bool
|
adamc@1208
|
414 val allPeers : t * exp -> exp list
|
adamc@1214
|
415 val p_t : t Print.printer
|
adamc@1208
|
416 end = struct
|
adamc@1208
|
417
|
adamc@1211
|
418 fun eq (e1, e2) = eeq (simplify e1, simplify e2)
|
adamc@1208
|
419
|
adamc@1208
|
420 type t = (exp * exp) list
|
adamc@1208
|
421
|
adamc@1208
|
422 val empty = []
|
adamc@1208
|
423
|
adamc@1208
|
424 fun lookup (t, e) =
|
adamc@1208
|
425 case List.find (fn (e', _) => eq (e', e)) t of
|
adamc@1208
|
426 NONE => e
|
adamc@1208
|
427 | SOME (_, e2) => lookup (t, e2)
|
adamc@1208
|
428
|
adamc@1208
|
429 fun allPeers (t, e) =
|
adamc@1208
|
430 let
|
adamc@1208
|
431 val r = lookup (t, e)
|
adamc@1208
|
432 in
|
adamc@1208
|
433 r :: List.mapPartial (fn (e1, e2) =>
|
adamc@1208
|
434 let
|
adamc@1208
|
435 val r' = lookup (t, e2)
|
adamc@1208
|
436 in
|
adamc@1208
|
437 if eq (r, r') then
|
adamc@1208
|
438 SOME e1
|
adamc@1208
|
439 else
|
adamc@1208
|
440 NONE
|
adamc@1208
|
441 end) t
|
adamc@1208
|
442 end
|
adamc@1208
|
443
|
adamc@1214
|
444 open Print
|
adamc@1214
|
445
|
adamc@1214
|
446 val p_t = p_list (fn (e1, e2) => box [p_exp (simplify e1),
|
adamc@1214
|
447 space,
|
adamc@1214
|
448 PD.string "->",
|
adamc@1214
|
449 space,
|
adamc@1214
|
450 p_exp (simplify e2)])
|
adamc@1214
|
451
|
adamc@1214
|
452 fun query (t, e1, e2) =
|
adamc@1214
|
453 let
|
adamc@1214
|
454 fun doUn e =
|
adamc@1214
|
455 case e of
|
adamc@1214
|
456 Func (f, [e1]) =>
|
adamc@1214
|
457 if String.isPrefix "un" f then
|
adamc@1214
|
458 let
|
adamc@1214
|
459 val s = String.extract (f, 2, NONE)
|
adamc@1214
|
460 in
|
adamc@1214
|
461 case ListUtil.search (fn e =>
|
adamc@1214
|
462 case e of
|
adamc@1214
|
463 Func (f', [e']) =>
|
adamc@1214
|
464 if f' = s then
|
adamc@1214
|
465 SOME e'
|
adamc@1214
|
466 else
|
adamc@1214
|
467 NONE
|
adamc@1214
|
468 | _ => NONE) (allPeers (t, e1)) of
|
adamc@1214
|
469 NONE => e
|
adamc@1214
|
470 | SOME e => doUn e
|
adamc@1214
|
471 end
|
adamc@1214
|
472 else
|
adamc@1214
|
473 e
|
adamc@1214
|
474 | _ => e
|
adamc@1214
|
475
|
adamc@1214
|
476 val e1' = doUn (lookup (t, doUn (simplify e1)))
|
adamc@1214
|
477 val e2' = doUn (lookup (t, doUn (simplify e2)))
|
adamc@1214
|
478 in
|
adamc@1214
|
479 (*prefaces "CC query" [("e1", p_exp (simplify e1)),
|
adamc@1214
|
480 ("e2", p_exp (simplify e2)),
|
adamc@1214
|
481 ("e1'", p_exp (simplify e1')),
|
adamc@1214
|
482 ("e2'", p_exp (simplify e2')),
|
adamc@1214
|
483 ("t", p_t t)];*)
|
adamc@1214
|
484 eq (e1', e2')
|
adamc@1214
|
485 end
|
adamc@1214
|
486
|
adamc@1212
|
487 fun assert (t, e1, e2) =
|
adamc@1212
|
488 let
|
adamc@1212
|
489 val r1 = lookup (t, e1)
|
adamc@1212
|
490 val r2 = lookup (t, e2)
|
adamc@1212
|
491 in
|
adamc@1212
|
492 if eq (r1, r2) then
|
adamc@1212
|
493 t
|
adamc@1212
|
494 else
|
adamc@1214
|
495 let
|
adamc@1214
|
496 fun doUn (t, e1, e2) =
|
adamc@1214
|
497 case e1 of
|
adamc@1214
|
498 Func (f, [e]) => if String.isPrefix "un" f then
|
adamc@1214
|
499 let
|
adamc@1214
|
500 val s = String.extract (f, 2, NONE)
|
adamc@1214
|
501 in
|
adamc@1214
|
502 foldl (fn (e', t) =>
|
adamc@1214
|
503 case e' of
|
adamc@1214
|
504 Func (f', [e']) =>
|
adamc@1214
|
505 if f' = s then
|
adamc@1214
|
506 assert (assert (t, e', e1), e', e2)
|
adamc@1214
|
507 else
|
adamc@1214
|
508 t
|
adamc@1214
|
509 | _ => t) t (allPeers (t, e))
|
adamc@1214
|
510 end
|
adamc@1214
|
511 else
|
adamc@1214
|
512 t
|
adamc@1214
|
513 | _ => t
|
adamc@1214
|
514
|
adamc@1214
|
515 fun doProj (t, e1, e2) =
|
adamc@1214
|
516 foldl (fn ((e1', e2'), t) =>
|
adamc@1214
|
517 let
|
adamc@1214
|
518 fun doOne (e, t) =
|
adamc@1214
|
519 case e of
|
adamc@1214
|
520 Proj (e', f) =>
|
adamc@1214
|
521 if query (t, e1, e') then
|
adamc@1214
|
522 assert (t, e, Proj (e2, f))
|
adamc@1214
|
523 else
|
adamc@1214
|
524 t
|
adamc@1214
|
525 | _ => t
|
adamc@1214
|
526 in
|
adamc@1214
|
527 doOne (e1', doOne (e2', t))
|
adamc@1214
|
528 end) t t
|
adamc@1214
|
529
|
adamc@1214
|
530 val t = (r1, r2) :: t
|
adamc@1214
|
531 val t = doUn (t, r1, r2)
|
adamc@1214
|
532 val t = doUn (t, r2, r1)
|
adamc@1214
|
533 val t = doProj (t, r1, r2)
|
adamc@1214
|
534 val t = doProj (t, r2, r1)
|
adamc@1214
|
535 in
|
adamc@1214
|
536 t
|
adamc@1214
|
537 end
|
adamc@1212
|
538 end
|
adamc@1212
|
539
|
adamc@1208
|
540 end
|
adamc@1208
|
541
|
adamc@1208
|
542 fun rimp cc ((r1, es1), (r2, es2)) =
|
adamc@1202
|
543 case (r1, r2) of
|
adamc@1202
|
544 (Sql r1', Sql r2') =>
|
adamc@1202
|
545 r1' = r2' andalso
|
adamc@1202
|
546 (case (es1, es2) of
|
adamc@1214
|
547 ([e1], [e2]) => eq (e1, e2)
|
adamc@1202
|
548 | _ => false)
|
adamc@1202
|
549 | (Eq, Eq) =>
|
adamc@1202
|
550 (case (es1, es2) of
|
adamc@1202
|
551 ([x1, y1], [x2, y2]) =>
|
adamc@1202
|
552 let
|
adamc@1203
|
553 val saved = save ()
|
adamc@1202
|
554 in
|
adamc@1202
|
555 if eq (x1, x2) andalso eq (y1, y2) then
|
adamc@1202
|
556 true
|
adamc@1202
|
557 else
|
adamc@1203
|
558 (restore saved;
|
adamc@1208
|
559 if eq (x1, y2) andalso eq (y1, x2) then
|
adamc@1208
|
560 true
|
adamc@1208
|
561 else
|
adamc@1208
|
562 (restore saved;
|
adamc@1208
|
563 false))
|
adamc@1202
|
564 end
|
adamc@1202
|
565 | _ => false)
|
adamc@1207
|
566 | (Known, Known) =>
|
adamc@1207
|
567 (case (es1, es2) of
|
adamc@1208
|
568 ([Var v], [e2]) =>
|
adamc@1207
|
569 let
|
adamc@1208
|
570 fun matches e =
|
adamc@1208
|
571 case e of
|
adamc@1208
|
572 Var v' => v' = v
|
adamc@1208
|
573 | Proj (e, _) => matches e
|
adamc@1211
|
574 | Func (f, [e]) => String.isPrefix "un" f andalso matches e
|
adamc@1207
|
575 | _ => false
|
adamc@1207
|
576 in
|
adamc@1214
|
577 (*Print.prefaces "Checking peers" [("e2", p_exp e2),
|
adamc@1214
|
578 ("peers", Print.p_list p_exp (Cc.allPeers (cc, e2))),
|
adamc@1214
|
579 ("db", Cc.p_t cc)];*)
|
adamc@1208
|
580 List.exists matches (Cc.allPeers (cc, e2))
|
adamc@1207
|
581 end
|
adamc@1207
|
582 | _ => false)
|
adamc@1202
|
583 | _ => false
|
adamc@1202
|
584
|
adamc@1202
|
585 fun imply (p1, p2) =
|
adamc@1208
|
586 let
|
adamc@1208
|
587 fun doOne doKnown =
|
adamc@1208
|
588 decomp true (fn (e1, e2) => e1 andalso e2 ()) p1
|
adamc@1208
|
589 (fn hyps =>
|
adamc@1208
|
590 decomp false (fn (e1, e2) => e1 orelse e2 ()) p2
|
adamc@1208
|
591 (fn goals =>
|
adamc@1208
|
592 let
|
adamc@1208
|
593 val cc = foldl (fn (p, cc) =>
|
adamc@1208
|
594 case p of
|
adamc@1212
|
595 AReln (Eq, [e1, e2]) => Cc.assert (cc, e1, e2)
|
adamc@1208
|
596 | _ => cc) Cc.empty hyps
|
adamc@1202
|
597
|
adamc@1208
|
598 fun gls goals onFail =
|
adamc@1208
|
599 case goals of
|
adamc@1208
|
600 [] => true
|
adamc@1212
|
601 | ACond _ :: _ => false
|
adamc@1212
|
602 | AReln g :: goals =>
|
adamc@1208
|
603 case (doKnown, g) of
|
adamc@1208
|
604 (false, (Known, _)) => gls goals onFail
|
adamc@1208
|
605 | _ =>
|
adamc@1208
|
606 let
|
adamc@1208
|
607 fun hps hyps =
|
adamc@1208
|
608 case hyps of
|
adamc@1214
|
609 [] => ((*Print.prefaces "Fail" [("g", p_prop (Reln g)),
|
adamc@1214
|
610 ("db", Cc.p_t cc)];*)
|
adamc@1213
|
611 onFail ())
|
adamc@1212
|
612 | ACond _ :: hyps => hps hyps
|
adamc@1212
|
613 | AReln h :: hyps =>
|
adamc@1208
|
614 let
|
adamc@1208
|
615 val saved = save ()
|
adamc@1208
|
616 in
|
adamc@1208
|
617 if rimp cc (h, g) then
|
adamc@1208
|
618 let
|
adamc@1208
|
619 val changed = IM.numItems (!unif)
|
adamc@1208
|
620 <> IM.numItems saved
|
adamc@1208
|
621 in
|
adamc@1208
|
622 gls goals (fn () => (restore saved;
|
adamc@1213
|
623 changed (*andalso
|
adamc@1213
|
624 (Print.preface ("Retry",
|
adamc@1213
|
625 p_prop
|
adamc@1213
|
626 (Reln g)
|
adamc@1213
|
627 ); true)*)
|
adamc@1213
|
628 andalso hps hyps))
|
adamc@1208
|
629 end
|
adamc@1208
|
630 else
|
adamc@1208
|
631 hps hyps
|
adamc@1208
|
632 end
|
adamc@1208
|
633 in
|
adamc@1208
|
634 (case g of
|
adamc@1208
|
635 (Eq, [e1, e2]) => Cc.query (cc, e1, e2)
|
adamc@1208
|
636 | _ => false)
|
adamc@1208
|
637 orelse hps hyps
|
adamc@1208
|
638 end
|
adamc@1208
|
639 in
|
adamc@1212
|
640 if List.exists (fn AReln (DtCon c1, [e]) =>
|
adamc@1212
|
641 List.exists (fn AReln (DtCon c2, [e']) =>
|
adamc@1211
|
642 c1 <> c2 andalso
|
adamc@1211
|
643 Cc.query (cc, e, e')
|
adamc@1211
|
644 | _ => false) hyps
|
adamc@1211
|
645 orelse List.exists (fn Func (c2, []) => c1 <> c2
|
adamc@1211
|
646 | Finish => true
|
adamc@1211
|
647 | _ => false)
|
adamc@1211
|
648 (Cc.allPeers (cc, e))
|
adamc@1211
|
649 | _ => false) hyps
|
adamc@1211
|
650 orelse gls goals (fn () => false) then
|
adamc@1211
|
651 true
|
adamc@1211
|
652 else
|
adamc@1212
|
653 ((*Print.prefaces "Can't prove"
|
adamc@1212
|
654 [("hyps", Print.p_list p_atom hyps),
|
adamc@1212
|
655 ("goals", Print.p_list p_atom goals)];*)
|
adamc@1211
|
656 false)
|
adamc@1208
|
657 end))
|
adamc@1208
|
658 in
|
adamc@1208
|
659 reset ();
|
adamc@1208
|
660 doOne false;
|
adamc@1208
|
661 doOne true
|
adamc@1208
|
662 end
|
adamc@1200
|
663
|
adamc@1200
|
664 fun patCon pc =
|
adamc@1200
|
665 case pc of
|
adamc@1200
|
666 PConVar n => "C" ^ Int.toString n
|
adamc@1200
|
667 | PConFfi {mod = m, datatyp = d, con = c, ...} => m ^ "." ^ d ^ "." ^ c
|
adamc@1200
|
668
|
adamc@1200
|
669 datatype chunk =
|
adamc@1200
|
670 String of string
|
adamc@1200
|
671 | Exp of Mono.exp
|
adamc@1200
|
672
|
adamc@1200
|
673 fun chunkify e =
|
adamc@1200
|
674 case #1 e of
|
adamc@1200
|
675 EPrim (Prim.String s) => [String s]
|
adamc@1207
|
676 | EStrcat (e1, e2) =>
|
adamc@1207
|
677 let
|
adamc@1207
|
678 val chs1 = chunkify e1
|
adamc@1207
|
679 val chs2 = chunkify e2
|
adamc@1207
|
680 in
|
adamc@1207
|
681 case chs2 of
|
adamc@1207
|
682 String s2 :: chs2' =>
|
adamc@1207
|
683 (case List.last chs1 of
|
adamc@1207
|
684 String s1 => List.take (chs1, length chs1 - 1) @ String (s1 ^ s2) :: chs2'
|
adamc@1207
|
685 | _ => chs1 @ chs2)
|
adamc@1207
|
686 | _ => chs1 @ chs2
|
adamc@1207
|
687 end
|
adamc@1200
|
688 | _ => [Exp e]
|
adamc@1200
|
689
|
adamc@1201
|
690 type 'a parser = chunk list -> ('a * chunk list) option
|
adamc@1201
|
691
|
adamc@1201
|
692 fun always v chs = SOME (v, chs)
|
adamc@1201
|
693
|
adamc@1202
|
694 fun parse p s =
|
adamc@1202
|
695 case p (chunkify s) of
|
adamc@1201
|
696 SOME (v, []) => SOME v
|
adamc@1201
|
697 | _ => NONE
|
adamc@1201
|
698
|
adamc@1201
|
699 fun const s chs =
|
adamc@1201
|
700 case chs of
|
adamc@1201
|
701 String s' :: chs => if String.isPrefix s s' then
|
adamc@1201
|
702 SOME ((), if size s = size s' then
|
adamc@1201
|
703 chs
|
adamc@1201
|
704 else
|
adamc@1201
|
705 String (String.extract (s', size s, NONE)) :: chs)
|
adamc@1201
|
706 else
|
adamc@1201
|
707 NONE
|
adamc@1201
|
708 | _ => NONE
|
adamc@1201
|
709
|
adamc@1201
|
710 fun follow p1 p2 chs =
|
adamc@1201
|
711 case p1 chs of
|
adamc@1201
|
712 NONE => NONE
|
adamc@1201
|
713 | SOME (v1, chs) =>
|
adamc@1201
|
714 case p2 chs of
|
adamc@1201
|
715 NONE => NONE
|
adamc@1201
|
716 | SOME (v2, chs) => SOME ((v1, v2), chs)
|
adamc@1201
|
717
|
adamc@1201
|
718 fun wrap p f chs =
|
adamc@1201
|
719 case p chs of
|
adamc@1201
|
720 NONE => NONE
|
adamc@1201
|
721 | SOME (v, chs) => SOME (f v, chs)
|
adamc@1201
|
722
|
adamc@1209
|
723 fun wrapP p f chs =
|
adamc@1209
|
724 case p chs of
|
adamc@1209
|
725 NONE => NONE
|
adamc@1209
|
726 | SOME (v, chs) =>
|
adamc@1209
|
727 case f v of
|
adamc@1209
|
728 NONE => NONE
|
adamc@1209
|
729 | SOME r => SOME (r, chs)
|
adamc@1209
|
730
|
adamc@1201
|
731 fun alt p1 p2 chs =
|
adamc@1201
|
732 case p1 chs of
|
adamc@1201
|
733 NONE => p2 chs
|
adamc@1201
|
734 | v => v
|
adamc@1201
|
735
|
adamc@1207
|
736 fun altL ps =
|
adamc@1207
|
737 case rev ps of
|
adamc@1207
|
738 [] => (fn _ => NONE)
|
adamc@1207
|
739 | p :: ps =>
|
adamc@1207
|
740 foldl (fn (p1, p2) => alt p1 p2) p ps
|
adamc@1207
|
741
|
adamc@1204
|
742 fun opt p chs =
|
adamc@1204
|
743 case p chs of
|
adamc@1204
|
744 NONE => SOME (NONE, chs)
|
adamc@1204
|
745 | SOME (v, chs) => SOME (SOME v, chs)
|
adamc@1204
|
746
|
adamc@1201
|
747 fun skip cp chs =
|
adamc@1201
|
748 case chs of
|
adamc@1201
|
749 String "" :: chs => skip cp chs
|
adamc@1201
|
750 | String s :: chs' => if cp (String.sub (s, 0)) then
|
adamc@1201
|
751 skip cp (String (String.extract (s, 1, NONE)) :: chs')
|
adamc@1201
|
752 else
|
adamc@1201
|
753 SOME ((), chs)
|
adamc@1201
|
754 | _ => SOME ((), chs)
|
adamc@1201
|
755
|
adamc@1201
|
756 fun keep cp chs =
|
adamc@1201
|
757 case chs of
|
adamc@1201
|
758 String "" :: chs => keep cp chs
|
adamc@1201
|
759 | String s :: chs' =>
|
adamc@1201
|
760 let
|
adamc@1201
|
761 val (befor, after) = Substring.splitl cp (Substring.full s)
|
adamc@1201
|
762 in
|
adamc@1201
|
763 if Substring.isEmpty befor then
|
adamc@1201
|
764 NONE
|
adamc@1201
|
765 else
|
adamc@1201
|
766 SOME (Substring.string befor,
|
adamc@1201
|
767 if Substring.isEmpty after then
|
adamc@1201
|
768 chs'
|
adamc@1201
|
769 else
|
adamc@1201
|
770 String (Substring.string after) :: chs')
|
adamc@1201
|
771 end
|
adamc@1201
|
772 | _ => NONE
|
adamc@1201
|
773
|
adamc@1204
|
774 fun ws p = wrap (follow (skip (fn ch => ch = #" "))
|
adamc@1204
|
775 (follow p (skip (fn ch => ch = #" ")))) (#1 o #2)
|
adamc@1204
|
776
|
adamc@1204
|
777 fun log name p chs =
|
adamc@1206
|
778 (if !debug then
|
adamc@1206
|
779 case chs of
|
adamc@1207
|
780 String s :: _ => print (name ^ ": " ^ s ^ "\n")
|
adamc@1206
|
781 | _ => print (name ^ ": blocked!\n")
|
adamc@1206
|
782 else
|
adamc@1206
|
783 ();
|
adamc@1204
|
784 p chs)
|
adamc@1201
|
785
|
adamc@1201
|
786 fun list p chs =
|
adamc@1207
|
787 altL [wrap (follow p (follow (ws (const ",")) (list p)))
|
adamc@1207
|
788 (fn (v, ((), ls)) => v :: ls),
|
adamc@1207
|
789 wrap (ws p) (fn v => [v]),
|
adamc@1207
|
790 always []] chs
|
adamc@1201
|
791
|
adamc@1201
|
792 val ident = keep (fn ch => Char.isAlphaNum ch orelse ch = #"_")
|
adamc@1201
|
793
|
adamc@1211
|
794 val t_ident = wrapP ident (fn s => if String.isPrefix "T_" s then
|
adamc@1211
|
795 SOME (String.extract (s, 2, NONE))
|
adamc@1201
|
796 else
|
adamc@1211
|
797 NONE)
|
adamc@1211
|
798 val uw_ident = wrapP ident (fn s => if String.isPrefix "uw_" s andalso size s >= 4 then
|
adamc@1211
|
799 SOME (str (Char.toUpper (String.sub (s, 3)))
|
adamc@1211
|
800 ^ String.extract (s, 4, NONE))
|
adamc@1211
|
801 else
|
adamc@1211
|
802 NONE)
|
adamc@1201
|
803
|
adamc@1211
|
804 val field = wrap (follow t_ident
|
adamc@1201
|
805 (follow (const ".")
|
adamc@1201
|
806 uw_ident))
|
adamc@1201
|
807 (fn (t, ((), f)) => (t, f))
|
adamc@1201
|
808
|
adamc@1206
|
809 datatype Rel =
|
adamc@1206
|
810 Exps of exp * exp -> prop
|
adamc@1206
|
811 | Props of prop * prop -> prop
|
adamc@1206
|
812
|
adamc@1204
|
813 datatype sqexp =
|
adamc@1206
|
814 SqConst of Prim.t
|
adamc@1206
|
815 | Field of string * string
|
adamc@1206
|
816 | Binop of Rel * sqexp * sqexp
|
adamc@1207
|
817 | SqKnown of sqexp
|
adamc@1207
|
818 | Inj of Mono.exp
|
adamc@1211
|
819 | SqFunc of string * sqexp
|
adamc@1211
|
820 | Count
|
adamc@1204
|
821
|
adamc@1210
|
822 fun cmp s r = wrap (const s) (fn () => Exps (fn (e1, e2) => Reln (r, [e1, e2])))
|
adamc@1210
|
823
|
adamc@1210
|
824 val sqbrel = altL [cmp "=" Eq,
|
adamc@1210
|
825 cmp "<>" Ne,
|
adamc@1210
|
826 cmp "<=" Le,
|
adamc@1210
|
827 cmp "<" Lt,
|
adamc@1210
|
828 cmp ">=" Ge,
|
adamc@1210
|
829 cmp ">" Gt,
|
adamc@1207
|
830 wrap (const "AND") (fn () => Props And),
|
adamc@1207
|
831 wrap (const "OR") (fn () => Props Or)]
|
adamc@1204
|
832
|
adamc@1204
|
833 datatype ('a, 'b) sum = inl of 'a | inr of 'b
|
adamc@1204
|
834
|
adamc@1209
|
835 fun string chs =
|
adamc@1206
|
836 case chs of
|
adamc@1209
|
837 String s :: chs =>
|
adamc@1209
|
838 if size s >= 2 andalso String.sub (s, 0) = #"'" then
|
adamc@1209
|
839 let
|
adamc@1209
|
840 fun loop (cs, acc) =
|
adamc@1209
|
841 case cs of
|
adamc@1209
|
842 [] => NONE
|
adamc@1209
|
843 | c :: cs =>
|
adamc@1209
|
844 if c = #"'" then
|
adamc@1209
|
845 SOME (String.implode (rev acc), cs)
|
adamc@1209
|
846 else if c = #"\\" then
|
adamc@1209
|
847 case cs of
|
adamc@1209
|
848 c :: cs => loop (cs, c :: acc)
|
adamc@1209
|
849 | _ => raise Fail "Iflow.string: Unmatched backslash escape"
|
adamc@1209
|
850 else
|
adamc@1209
|
851 loop (cs, c :: acc)
|
adamc@1209
|
852 in
|
adamc@1209
|
853 case loop (String.explode (String.extract (s, 1, NONE)), []) of
|
adamc@1209
|
854 NONE => NONE
|
adamc@1209
|
855 | SOME (s, []) => SOME (s, chs)
|
adamc@1209
|
856 | SOME (s, cs) => SOME (s, String (String.implode cs) :: chs)
|
adamc@1209
|
857 end
|
adamc@1209
|
858 else
|
adamc@1209
|
859 NONE
|
adamc@1209
|
860 | _ => NONE
|
adamc@1206
|
861
|
adamc@1209
|
862 val prim =
|
adamc@1209
|
863 altL [wrap (follow (wrapP (follow (keep Char.isDigit) (follow (const ".") (keep Char.isDigit)))
|
adamc@1209
|
864 (fn (x, ((), y)) => Option.map Prim.Float (Real64.fromString (x ^ "." ^ y))))
|
adamc@1209
|
865 (opt (const "::float8"))) #1,
|
adamc@1209
|
866 wrap (follow (wrapP (keep Char.isDigit)
|
adamc@1209
|
867 (Option.map Prim.Int o Int64.fromString))
|
adamc@1209
|
868 (opt (const "::int8"))) #1,
|
adamc@1209
|
869 wrap (follow (opt (const "E")) (follow string (opt (const "::text"))))
|
adamc@1209
|
870 (Prim.String o #1 o #2)]
|
adamc@1206
|
871
|
adamc@1207
|
872 fun known' chs =
|
adamc@1207
|
873 case chs of
|
adamc@1207
|
874 Exp (EFfi ("Basis", "sql_known"), _) :: chs => SOME ((), chs)
|
adamc@1207
|
875 | _ => NONE
|
adamc@1207
|
876
|
adamc@1207
|
877 fun sqlify chs =
|
adamc@1207
|
878 case chs of
|
adamc@1207
|
879 Exp (EFfiApp ("Basis", f, [e]), _) :: chs =>
|
adamc@1207
|
880 if String.isPrefix "sqlify" f then
|
adamc@1207
|
881 SOME (e, chs)
|
adamc@1207
|
882 else
|
adamc@1207
|
883 NONE
|
adamc@1207
|
884 | _ => NONE
|
adamc@1207
|
885
|
adamc@1211
|
886 fun constK s = wrap (const s) (fn () => s)
|
adamc@1211
|
887
|
adamc@1211
|
888 val funcName = altL [constK "COUNT",
|
adamc@1211
|
889 constK "MIN",
|
adamc@1211
|
890 constK "MAX",
|
adamc@1211
|
891 constK "SUM",
|
adamc@1211
|
892 constK "AVG"]
|
adamc@1211
|
893
|
adamc@1204
|
894 fun sqexp chs =
|
adamc@1206
|
895 log "sqexp"
|
adamc@1207
|
896 (altL [wrap prim SqConst,
|
adamc@1211
|
897 wrap field Field,
|
adamc@1207
|
898 wrap known SqKnown,
|
adamc@1211
|
899 wrap func SqFunc,
|
adamc@1211
|
900 wrap (const "COUNT(*)") (fn () => Count),
|
adamc@1207
|
901 wrap sqlify Inj,
|
adamc@1211
|
902 wrap (follow (const "COALESCE(") (follow sqexp (follow (const ",")
|
adamc@1211
|
903 (follow (keep (fn ch => ch <> #")")) (const ")")))))
|
adamc@1211
|
904 (fn ((), (e, _)) => e),
|
adamc@1207
|
905 wrap (follow (ws (const "("))
|
adamc@1207
|
906 (follow (wrap
|
adamc@1207
|
907 (follow sqexp
|
adamc@1207
|
908 (alt
|
adamc@1207
|
909 (wrap
|
adamc@1207
|
910 (follow (ws sqbrel)
|
adamc@1207
|
911 (ws sqexp))
|
adamc@1207
|
912 inl)
|
adamc@1207
|
913 (always (inr ()))))
|
adamc@1207
|
914 (fn (e1, sm) =>
|
adamc@1207
|
915 case sm of
|
adamc@1207
|
916 inl (bo, e2) => Binop (bo, e1, e2)
|
adamc@1207
|
917 | inr () => e1))
|
adamc@1207
|
918 (const ")")))
|
adamc@1207
|
919 (fn ((), (e, ())) => e)])
|
adamc@1207
|
920 chs
|
adamc@1206
|
921
|
adamc@1207
|
922 and known chs = wrap (follow known' (follow (const "(") (follow sqexp (const ")"))))
|
adamc@1211
|
923 (fn ((), ((), (e, ()))) => e) chs
|
adamc@1211
|
924
|
adamc@1211
|
925 and func chs = wrap (follow funcName (follow (const "(") (follow sqexp (const ")"))))
|
adamc@1211
|
926 (fn (f, ((), (e, ()))) => (f, e)) chs
|
adamc@1211
|
927
|
adamc@1211
|
928 datatype sitem =
|
adamc@1211
|
929 SqField of string * string
|
adamc@1211
|
930 | SqExp of sqexp * string
|
adamc@1211
|
931
|
adamc@1211
|
932 val sitem = alt (wrap field SqField)
|
adamc@1211
|
933 (wrap (follow sqexp (follow (const " AS ") uw_ident))
|
adamc@1211
|
934 (fn (e, ((), s)) => SqExp (e, s)))
|
adamc@1207
|
935
|
adamc@1207
|
936 val select = log "select"
|
adamc@1207
|
937 (wrap (follow (const "SELECT ") (list sitem))
|
adamc@1207
|
938 (fn ((), ls) => ls))
|
adamc@1201
|
939
|
adamc@1201
|
940 val fitem = wrap (follow uw_ident
|
adamc@1201
|
941 (follow (const " AS ")
|
adamc@1201
|
942 t_ident))
|
adamc@1201
|
943 (fn (t, ((), f)) => (t, f))
|
adamc@1201
|
944
|
adamc@1207
|
945 val from = log "from"
|
adamc@1207
|
946 (wrap (follow (const "FROM ") (list fitem))
|
adamc@1207
|
947 (fn ((), ls) => ls))
|
adamc@1201
|
948
|
adamc@1204
|
949 val wher = wrap (follow (ws (const "WHERE ")) sqexp)
|
adamc@1204
|
950 (fn ((), ls) => ls)
|
adamc@1204
|
951
|
adamc@1207
|
952 val query = log "query"
|
adamc@1207
|
953 (wrap (follow (follow select from) (opt wher))
|
adamc@1207
|
954 (fn ((fs, ts), wher) => {Select = fs, From = ts, Where = wher}))
|
adamc@1201
|
955
|
adamc@1211
|
956 fun removeDups ls =
|
adamc@1211
|
957 case ls of
|
adamc@1211
|
958 [] => []
|
adamc@1211
|
959 | x :: ls =>
|
adamc@1211
|
960 let
|
adamc@1211
|
961 val ls = removeDups ls
|
adamc@1211
|
962 in
|
adamc@1211
|
963 if List.exists (fn x' => x' = x) ls then
|
adamc@1211
|
964 ls
|
adamc@1211
|
965 else
|
adamc@1211
|
966 x :: ls
|
adamc@1211
|
967 end
|
adamc@1211
|
968
|
adamc@1212
|
969 datatype queryMode =
|
adamc@1212
|
970 SomeCol of exp
|
adamc@1212
|
971 | AllCols of exp
|
adamc@1212
|
972
|
adamc@1214
|
973 fun queryProp env rvN rv oe e =
|
adamc@1202
|
974 case parse query e of
|
adamc@1207
|
975 NONE => (print ("Warning: Information flow checker can't parse SQL query at "
|
adamc@1207
|
976 ^ ErrorMsg.spanToString (#2 e) ^ "\n");
|
adamc@1214
|
977 (rvN, Var 0, Unknown, []))
|
adamc@1201
|
978 | SOME r =>
|
adamc@1202
|
979 let
|
adamc@1214
|
980 val (rvN, count) = rv rvN
|
adamc@1214
|
981
|
adamc@1214
|
982 val (rvs, rvN) = ListUtil.foldlMap (fn ((_, v), rvN) =>
|
adamc@1214
|
983 let
|
adamc@1214
|
984 val (rvN, e) = rv rvN
|
adamc@1214
|
985 in
|
adamc@1214
|
986 ((v, e), rvN)
|
adamc@1214
|
987 end) rvN (#From r)
|
adamc@1214
|
988
|
adamc@1214
|
989 fun rvOf v =
|
adamc@1214
|
990 case List.find (fn (v', _) => v' = v) rvs of
|
adamc@1214
|
991 NONE => raise Fail "Iflow.queryProp: Bad table variable"
|
adamc@1214
|
992 | SOME (_, e) => e
|
adamc@1214
|
993
|
adamc@1211
|
994 fun usedFields e =
|
adamc@1211
|
995 case e of
|
adamc@1211
|
996 SqConst _ => []
|
adamc@1211
|
997 | Field (v, f) => [(v, f)]
|
adamc@1211
|
998 | Binop (_, e1, e2) => removeDups (usedFields e1 @ usedFields e2)
|
adamc@1211
|
999 | SqKnown _ => []
|
adamc@1211
|
1000 | Inj _ => []
|
adamc@1211
|
1001 | SqFunc (_, e) => usedFields e
|
adamc@1211
|
1002 | Count => []
|
adamc@1211
|
1003
|
adamc@1202
|
1004 val p =
|
adamc@1214
|
1005 foldl (fn ((t, v), p) => And (p, Reln (Sql t, [rvOf v]))) True (#From r)
|
adamc@1205
|
1006
|
adamc@1205
|
1007 fun expIn e =
|
adamc@1205
|
1008 case e of
|
adamc@1206
|
1009 SqConst p => inl (Const p)
|
adamc@1214
|
1010 | Field (v, f) => inl (Proj (rvOf v, f))
|
adamc@1205
|
1011 | Binop (bo, e1, e2) =>
|
adamc@1206
|
1012 inr (case (bo, expIn e1, expIn e2) of
|
adamc@1206
|
1013 (Exps f, inl e1, inl e2) => f (e1, e2)
|
adamc@1206
|
1014 | (Props f, inr p1, inr p2) => f (p1, p2)
|
adamc@1206
|
1015 | _ => Unknown)
|
adamc@1207
|
1016 | SqKnown e =>
|
adamc@1207
|
1017 inr (case expIn e of
|
adamc@1207
|
1018 inl e => Reln (Known, [e])
|
adamc@1207
|
1019 | _ => Unknown)
|
adamc@1207
|
1020 | Inj e =>
|
adamc@1207
|
1021 let
|
adamc@1207
|
1022 fun deinj (e, _) =
|
adamc@1207
|
1023 case e of
|
adamc@1207
|
1024 ERel n => List.nth (env, n)
|
adamc@1207
|
1025 | EField (e, f) => Proj (deinj e, f)
|
adamc@1207
|
1026 | _ => raise Fail "Iflow: non-variable injected into query"
|
adamc@1207
|
1027 in
|
adamc@1207
|
1028 inl (deinj e)
|
adamc@1207
|
1029 end
|
adamc@1211
|
1030 | SqFunc (f, e) =>
|
adamc@1211
|
1031 inl (case expIn e of
|
adamc@1211
|
1032 inl e => Func (f, [e])
|
adamc@1211
|
1033 | _ => raise Fail ("Iflow: non-expresion passed to function " ^ f))
|
adamc@1214
|
1034 | Count => inl count
|
adamc@1210
|
1035
|
adamc@1205
|
1036 val p = case #Where r of
|
adamc@1205
|
1037 NONE => p
|
adamc@1205
|
1038 | SOME e =>
|
adamc@1205
|
1039 case expIn e of
|
adamc@1205
|
1040 inr p' => And (p, p')
|
adamc@1205
|
1041 | _ => p
|
adamc@1202
|
1042 in
|
adamc@1214
|
1043 (rvN,
|
adamc@1214
|
1044 count,
|
adamc@1214
|
1045 And (p, case oe of
|
adamc@1212
|
1046 SomeCol oe =>
|
adamc@1212
|
1047 foldl (fn (si, p) =>
|
adamc@1211
|
1048 let
|
adamc@1211
|
1049 val p' = case si of
|
adamc@1214
|
1050 SqField (v, f) => Reln (Eq, [oe, Proj (rvOf v, f)])
|
adamc@1211
|
1051 | SqExp (e, f) =>
|
adamc@1211
|
1052 case expIn e of
|
adamc@1211
|
1053 inr _ => Unknown
|
adamc@1211
|
1054 | inl e => Reln (Eq, [oe, e])
|
adamc@1211
|
1055 in
|
adamc@1211
|
1056 Or (p, p')
|
adamc@1211
|
1057 end)
|
adamc@1212
|
1058 False (#Select r)
|
adamc@1212
|
1059 | AllCols oe =>
|
adamc@1212
|
1060 foldl (fn (si, p) =>
|
adamc@1212
|
1061 let
|
adamc@1212
|
1062 val p' = case si of
|
adamc@1212
|
1063 SqField (v, f) => Reln (Eq, [Proj (Proj (oe, v), f),
|
adamc@1214
|
1064 Proj (rvOf v, f)])
|
adamc@1212
|
1065 | SqExp (e, f) =>
|
adamc@1212
|
1066 case expIn e of
|
adamc@1212
|
1067 inr p => Cond (Proj (oe, f), p)
|
adamc@1212
|
1068 | inl e => Reln (Eq, [Proj (oe, f), e])
|
adamc@1212
|
1069 in
|
adamc@1212
|
1070 And (p, p')
|
adamc@1212
|
1071 end)
|
adamc@1212
|
1072 True (#Select r)),
|
adamc@1210
|
1073
|
adamc@1210
|
1074 case #Where r of
|
adamc@1210
|
1075 NONE => []
|
adamc@1214
|
1076 | SOME e => map (fn (v, f) => Proj (rvOf v, f)) (usedFields e))
|
adamc@1202
|
1077 end
|
adamc@1200
|
1078
|
adamc@1211
|
1079 fun evalPat env e (pt, _) =
|
adamc@1211
|
1080 case pt of
|
adamc@1211
|
1081 PWild => (env, True)
|
adamc@1211
|
1082 | PVar _ => (e :: env, True)
|
adamc@1211
|
1083 | PPrim _ => (env, True)
|
adamc@1211
|
1084 | PCon (_, pc, NONE) => (env, Reln (DtCon (patCon pc), [e]))
|
adamc@1211
|
1085 | PCon (_, pc, SOME pt) =>
|
adamc@1211
|
1086 let
|
adamc@1211
|
1087 val (env, p) = evalPat env (Func ("un" ^ patCon pc, [e])) pt
|
adamc@1211
|
1088 in
|
adamc@1211
|
1089 (env, And (p, Reln (DtCon (patCon pc), [e])))
|
adamc@1211
|
1090 end
|
adamc@1211
|
1091 | PRecord xpts =>
|
adamc@1211
|
1092 foldl (fn ((x, pt, _), (env, p)) =>
|
adamc@1211
|
1093 let
|
adamc@1211
|
1094 val (env, p') = evalPat env (Proj (e, x)) pt
|
adamc@1211
|
1095 in
|
adamc@1211
|
1096 (env, And (p', p))
|
adamc@1211
|
1097 end) (env, True) xpts
|
adamc@1211
|
1098 | PNone _ => (env, Reln (DtCon "None", [e]))
|
adamc@1211
|
1099 | PSome (_, pt) =>
|
adamc@1211
|
1100 let
|
adamc@1211
|
1101 val (env, p) = evalPat env (Func ("unSome", [e])) pt
|
adamc@1211
|
1102 in
|
adamc@1211
|
1103 (env, And (p, Reln (DtCon "Some", [e])))
|
adamc@1211
|
1104 end
|
adamc@1211
|
1105
|
adamc@1211
|
1106 fun peq (p1, p2) =
|
adamc@1211
|
1107 case (p1, p2) of
|
adamc@1211
|
1108 (True, True) => true
|
adamc@1211
|
1109 | (False, False) => true
|
adamc@1211
|
1110 | (Unknown, Unknown) => true
|
adamc@1211
|
1111 | (And (x1, y1), And (x2, y2)) => peq (x1, x2) andalso peq (y1, y2)
|
adamc@1211
|
1112 | (Or (x1, y1), Or (x2, y2)) => peq (x1, x2) andalso peq (y1, y2)
|
adamc@1211
|
1113 | (Reln (r1, es1), Reln (r2, es2)) => r1 = r2 andalso ListPair.allEq eeq (es1, es2)
|
adamc@1212
|
1114 | (Cond (e1, p1), Cond (e2, p2)) => eeq (e1, e2) andalso peq (p1, p2)
|
adamc@1211
|
1115 | _ => false
|
adamc@1211
|
1116
|
adamc@1211
|
1117 fun removeRedundant p1 =
|
adamc@1211
|
1118 let
|
adamc@1211
|
1119 fun rr p2 =
|
adamc@1211
|
1120 if peq (p1, p2) then
|
adamc@1211
|
1121 True
|
adamc@1211
|
1122 else
|
adamc@1211
|
1123 case p2 of
|
adamc@1211
|
1124 And (x, y) => And (rr x, rr y)
|
adamc@1211
|
1125 | Or (x, y) => Or (rr x, rr y)
|
adamc@1211
|
1126 | _ => p2
|
adamc@1211
|
1127 in
|
adamc@1211
|
1128 rr
|
adamc@1211
|
1129 end
|
adamc@1211
|
1130
|
adamc@1202
|
1131 fun evalExp env (e as (_, loc), st as (nv, p, sent)) =
|
adamc@1200
|
1132 let
|
adamc@1200
|
1133 fun default () =
|
adamc@1213
|
1134 ((*Print.preface ("Default" ^ Int.toString nv,
|
adamc@1213
|
1135 MonoPrint.p_exp MonoEnv.empty e);*)
|
adamc@1213
|
1136 (Var nv, (nv+1, p, sent)))
|
adamc@1200
|
1137
|
adamc@1200
|
1138 fun addSent (p, e, sent) =
|
adamc@1200
|
1139 if isKnown e then
|
adamc@1200
|
1140 sent
|
adamc@1200
|
1141 else
|
adamc@1202
|
1142 (loc, e, p) :: sent
|
adamc@1200
|
1143 in
|
adamc@1200
|
1144 case #1 e of
|
adamc@1200
|
1145 EPrim p => (Const p, st)
|
adamc@1200
|
1146 | ERel n => (List.nth (env, n), st)
|
adamc@1200
|
1147 | ENamed _ => default ()
|
adamc@1200
|
1148 | ECon (_, pc, NONE) => (Func (patCon pc, []), st)
|
adamc@1200
|
1149 | ECon (_, pc, SOME e) =>
|
adamc@1200
|
1150 let
|
adamc@1200
|
1151 val (e, st) = evalExp env (e, st)
|
adamc@1200
|
1152 in
|
adamc@1200
|
1153 (Func (patCon pc, [e]), st)
|
adamc@1200
|
1154 end
|
adamc@1200
|
1155 | ENone _ => (Func ("None", []), st)
|
adamc@1200
|
1156 | ESome (_, e) =>
|
adamc@1200
|
1157 let
|
adamc@1200
|
1158 val (e, st) = evalExp env (e, st)
|
adamc@1200
|
1159 in
|
adamc@1200
|
1160 (Func ("Some", [e]), st)
|
adamc@1200
|
1161 end
|
adamc@1200
|
1162 | EFfi _ => default ()
|
adamc@1213
|
1163
|
adamc@1200
|
1164 | EFfiApp (m, s, es) =>
|
adamc@1200
|
1165 if m = "Basis" andalso SS.member (writers, s) then
|
adamc@1200
|
1166 let
|
adamc@1200
|
1167 val (es, st) = ListUtil.foldlMap (evalExp env) st es
|
adamc@1200
|
1168 in
|
adamc@1214
|
1169 (Recd [], (#1 st, p, foldl (fn (e, sent) => addSent (#2 st, e, sent)) sent es))
|
adamc@1200
|
1170 end
|
adamc@1200
|
1171 else if Settings.isEffectful (m, s) andalso not (Settings.isBenignEffectful (m, s)) then
|
adamc@1200
|
1172 default ()
|
adamc@1200
|
1173 else
|
adamc@1200
|
1174 let
|
adamc@1200
|
1175 val (es, st) = ListUtil.foldlMap (evalExp env) st es
|
adamc@1200
|
1176 in
|
adamc@1200
|
1177 (Func (m ^ "." ^ s, es), st)
|
adamc@1200
|
1178 end
|
adamc@1213
|
1179
|
adamc@1213
|
1180 | EApp (e1, e2) =>
|
adamc@1213
|
1181 let
|
adamc@1213
|
1182 val (e1, st) = evalExp env (e1, st)
|
adamc@1213
|
1183 in
|
adamc@1213
|
1184 case e1 of
|
adamc@1213
|
1185 Finish => (Finish, st)
|
adamc@1213
|
1186 | _ => default ()
|
adamc@1213
|
1187 end
|
adamc@1213
|
1188
|
adamc@1200
|
1189 | EAbs _ => default ()
|
adamc@1200
|
1190 | EUnop (s, e1) =>
|
adamc@1200
|
1191 let
|
adamc@1200
|
1192 val (e1, st) = evalExp env (e1, st)
|
adamc@1200
|
1193 in
|
adamc@1200
|
1194 (Func (s, [e1]), st)
|
adamc@1200
|
1195 end
|
adamc@1200
|
1196 | EBinop (s, e1, e2) =>
|
adamc@1200
|
1197 let
|
adamc@1200
|
1198 val (e1, st) = evalExp env (e1, st)
|
adamc@1200
|
1199 val (e2, st) = evalExp env (e2, st)
|
adamc@1200
|
1200 in
|
adamc@1200
|
1201 (Func (s, [e1, e2]), st)
|
adamc@1200
|
1202 end
|
adamc@1200
|
1203 | ERecord xets =>
|
adamc@1200
|
1204 let
|
adamc@1200
|
1205 val (xes, st) = ListUtil.foldlMap (fn ((x, e, _), st) =>
|
adamc@1200
|
1206 let
|
adamc@1200
|
1207 val (e, st) = evalExp env (e, st)
|
adamc@1200
|
1208 in
|
adamc@1200
|
1209 ((x, e), st)
|
adamc@1200
|
1210 end) st xets
|
adamc@1200
|
1211 in
|
adamc@1200
|
1212 (Recd xes, st)
|
adamc@1200
|
1213 end
|
adamc@1200
|
1214 | EField (e, s) =>
|
adamc@1200
|
1215 let
|
adamc@1200
|
1216 val (e, st) = evalExp env (e, st)
|
adamc@1200
|
1217 in
|
adamc@1200
|
1218 (Proj (e, s), st)
|
adamc@1200
|
1219 end
|
adamc@1211
|
1220 | ECase (e, pes, _) =>
|
adamc@1211
|
1221 let
|
adamc@1211
|
1222 val (e, st) = evalExp env (e, st)
|
adamc@1211
|
1223 val r = #1 st
|
adamc@1211
|
1224 val st = (r + 1, #2 st, #3 st)
|
adamc@1211
|
1225 val orig = #2 st
|
adamc@1211
|
1226
|
adamc@1211
|
1227 val st = foldl (fn ((pt, pe), st) =>
|
adamc@1211
|
1228 let
|
adamc@1211
|
1229 val (env, pp) = evalPat env e pt
|
adamc@1211
|
1230 val (pe, st') = evalExp env (pe, (#1 st, And (orig, pp), #3 st))
|
adamc@1211
|
1231
|
adamc@1211
|
1232 val this = And (removeRedundant orig (#2 st'), Reln (Eq, [Var r, pe]))
|
adamc@1211
|
1233 in
|
adamc@1211
|
1234 (#1 st', Or (#2 st, this), #3 st')
|
adamc@1211
|
1235 end) (#1 st, False, #3 st) pes
|
adamc@1211
|
1236 in
|
adamc@1211
|
1237 (Var r, (#1 st, And (orig, #2 st), #3 st))
|
adamc@1211
|
1238 end
|
adamc@1200
|
1239 | EStrcat (e1, e2) =>
|
adamc@1200
|
1240 let
|
adamc@1200
|
1241 val (e1, st) = evalExp env (e1, st)
|
adamc@1200
|
1242 val (e2, st) = evalExp env (e2, st)
|
adamc@1200
|
1243 in
|
adamc@1200
|
1244 (Func ("cat", [e1, e2]), st)
|
adamc@1200
|
1245 end
|
adamc@1200
|
1246 | EError _ => (Finish, st)
|
adamc@1200
|
1247 | EReturnBlob {blob = b, mimeType = m, ...} =>
|
adamc@1200
|
1248 let
|
adamc@1200
|
1249 val (b, st) = evalExp env (b, st)
|
adamc@1200
|
1250 val (m, st) = evalExp env (m, st)
|
adamc@1200
|
1251 in
|
adamc@1200
|
1252 (Finish, (#1 st, p, addSent (#2 st, b, addSent (#2 st, m, sent))))
|
adamc@1200
|
1253 end
|
adamc@1200
|
1254 | ERedirect (e, _) =>
|
adamc@1200
|
1255 let
|
adamc@1200
|
1256 val (e, st) = evalExp env (e, st)
|
adamc@1200
|
1257 in
|
adamc@1200
|
1258 (Finish, (#1 st, p, addSent (#2 st, e, sent)))
|
adamc@1200
|
1259 end
|
adamc@1200
|
1260 | EWrite e =>
|
adamc@1200
|
1261 let
|
adamc@1200
|
1262 val (e, st) = evalExp env (e, st)
|
adamc@1200
|
1263 in
|
adamc@1214
|
1264 (Recd [], (#1 st, p, addSent (#2 st, e, sent)))
|
adamc@1200
|
1265 end
|
adamc@1200
|
1266 | ESeq (e1, e2) =>
|
adamc@1200
|
1267 let
|
adamc@1200
|
1268 val (_, st) = evalExp env (e1, st)
|
adamc@1200
|
1269 in
|
adamc@1200
|
1270 evalExp env (e2, st)
|
adamc@1200
|
1271 end
|
adamc@1200
|
1272 | ELet (_, _, e1, e2) =>
|
adamc@1200
|
1273 let
|
adamc@1200
|
1274 val (e1, st) = evalExp env (e1, st)
|
adamc@1200
|
1275 in
|
adamc@1200
|
1276 evalExp (e1 :: env) (e2, st)
|
adamc@1200
|
1277 end
|
adamc@1200
|
1278 | EClosure (n, es) =>
|
adamc@1200
|
1279 let
|
adamc@1200
|
1280 val (es, st) = ListUtil.foldlMap (evalExp env) st es
|
adamc@1200
|
1281 in
|
adamc@1200
|
1282 (Func ("Cl" ^ Int.toString n, es), st)
|
adamc@1200
|
1283 end
|
adamc@1200
|
1284
|
adamc@1200
|
1285 | EQuery {query = q, body = b, initial = i, ...} =>
|
adamc@1200
|
1286 let
|
adamc@1200
|
1287 val (_, st) = evalExp env (q, st)
|
adamc@1200
|
1288 val (i, st) = evalExp env (i, st)
|
adamc@1200
|
1289
|
adamc@1200
|
1290 val r = #1 st
|
adamc@1214
|
1291 val acc = #1 st + 1
|
adamc@1214
|
1292 val st' = (#1 st + 2, #2 st, #3 st)
|
adamc@1200
|
1293
|
adamc@1200
|
1294 val (b, st') = evalExp (Var acc :: Var r :: env) (b, st')
|
adamc@1200
|
1295
|
adamc@1214
|
1296 val (rvN, count, qp, used) =
|
adamc@1214
|
1297 queryProp env
|
adamc@1214
|
1298 (#1 st') (fn rvN => (rvN + 1, Var rvN))
|
adamc@1214
|
1299 (AllCols (Var r)) q
|
adamc@1200
|
1300
|
adamc@1212
|
1301 val p' = And (qp, #2 st')
|
adamc@1200
|
1302
|
adamc@1212
|
1303 val (nvs, p, res) = if varInP acc (#2 st') then
|
adamc@1212
|
1304 (#1 st + 1, #2 st, Var r)
|
adamc@1212
|
1305 else
|
adamc@1212
|
1306 let
|
adamc@1214
|
1307 val out = rvN
|
adamc@1210
|
1308
|
adamc@1212
|
1309 val p = Or (Reln (Eq, [Var out, i]),
|
adamc@1212
|
1310 And (Reln (Eq, [Var out, b]),
|
adamc@1214
|
1311 And (Reln (Gt, [count,
|
adamc@1212
|
1312 Const (Prim.Int 0)]),
|
adamc@1212
|
1313 p')))
|
adamc@1212
|
1314 in
|
adamc@1212
|
1315 (out + 1, p, Var out)
|
adamc@1212
|
1316 end
|
adamc@1212
|
1317
|
adamc@1212
|
1318 val sent = map (fn (loc, e, p) => (loc, e, And (qp, p))) (#3 st')
|
adamc@1210
|
1319 val sent = map (fn e => (loc, e, p')) used @ sent
|
adamc@1200
|
1320 in
|
adamc@1212
|
1321 (res, (nvs, p, sent))
|
adamc@1200
|
1322 end
|
adamc@1200
|
1323 | EDml _ => default ()
|
adamc@1200
|
1324 | ENextval _ => default ()
|
adamc@1200
|
1325 | ESetval _ => default ()
|
adamc@1200
|
1326
|
adamc@1213
|
1327 | EUnurlify ((EFfiApp ("Basis", "get_cookie", _), _), _, _) =>
|
adamc@1213
|
1328 (Var nv, (nv + 1, And (p, Reln (Known, [Var nv])), sent))
|
adamc@1213
|
1329
|
adamc@1200
|
1330 | EUnurlify _ => default ()
|
adamc@1200
|
1331 | EJavaScript _ => default ()
|
adamc@1200
|
1332 | ESignalReturn _ => default ()
|
adamc@1200
|
1333 | ESignalBind _ => default ()
|
adamc@1200
|
1334 | ESignalSource _ => default ()
|
adamc@1200
|
1335 | EServerCall _ => default ()
|
adamc@1200
|
1336 | ERecv _ => default ()
|
adamc@1200
|
1337 | ESleep _ => default ()
|
adamc@1200
|
1338 | ESpawn _ => default ()
|
adamc@1200
|
1339 end
|
adamc@1200
|
1340
|
adamc@1200
|
1341 fun check file =
|
adamc@1200
|
1342 let
|
adamc@1213
|
1343 val file = MonoReduce.reduce file
|
adamc@1213
|
1344 val file = MonoOpt.optimize file
|
adamc@1213
|
1345 val file = Fuse.fuse file
|
adamc@1213
|
1346 val file = MonoOpt.optimize file
|
adamc@1213
|
1347 (*val () = Print.preface ("File", MonoPrint.p_file MonoEnv.empty file)*)
|
adamc@1213
|
1348
|
adamc@1207
|
1349 val exptd = foldl (fn ((d, _), exptd) =>
|
adamc@1207
|
1350 case d of
|
adamc@1207
|
1351 DExport (_, _, n, _, _, _) => IS.add (exptd, n)
|
adamc@1207
|
1352 | _ => exptd) IS.empty file
|
adamc@1207
|
1353
|
adamc@1202
|
1354 fun decl ((d, _), (vals, pols)) =
|
adamc@1200
|
1355 case d of
|
adamc@1207
|
1356 DVal (_, n, _, e, _) =>
|
adamc@1200
|
1357 let
|
adamc@1207
|
1358 val isExptd = IS.member (exptd, n)
|
adamc@1207
|
1359
|
adamc@1207
|
1360 fun deAbs (e, env, nv, p) =
|
adamc@1200
|
1361 case #1 e of
|
adamc@1207
|
1362 EAbs (_, _, _, e) => deAbs (e, Var nv :: env, nv + 1,
|
adamc@1207
|
1363 if isExptd then
|
adamc@1207
|
1364 And (p, Reln (Known, [Var nv]))
|
adamc@1207
|
1365 else
|
adamc@1207
|
1366 p)
|
adamc@1207
|
1367 | _ => (e, env, nv, p)
|
adamc@1200
|
1368
|
adamc@1207
|
1369 val (e, env, nv, p) = deAbs (e, [], 1, True)
|
adamc@1200
|
1370
|
adamc@1207
|
1371 val (e, (_, p, sent)) = evalExp env (e, (nv, p, []))
|
adamc@1200
|
1372 in
|
adamc@1207
|
1373 (sent @ vals, pols)
|
adamc@1200
|
1374 end
|
adamc@1202
|
1375
|
adamc@1214
|
1376 | DPolicy (PolClient e) => (vals, #3 (queryProp [] 0 (fn rvN => (rvN + 1, Lvar rvN))
|
adamc@1214
|
1377 (SomeCol (Var 0)) e) :: pols)
|
adamc@1214
|
1378
|
adamc@1202
|
1379 | _ => (vals, pols)
|
adamc@1202
|
1380
|
adamc@1203
|
1381 val () = reset ()
|
adamc@1202
|
1382
|
adamc@1202
|
1383 val (vals, pols) = foldl decl ([], []) file
|
adamc@1200
|
1384 in
|
adamc@1207
|
1385 app (fn (loc, e, p) =>
|
adamc@1207
|
1386 let
|
adamc@1213
|
1387 fun doOne e =
|
adamc@1213
|
1388 let
|
adamc@1213
|
1389 val p = And (p, Reln (Eq, [Var 0, e]))
|
adamc@1213
|
1390 in
|
adamc@1213
|
1391 if List.exists (fn pol => if imply (p, pol) then
|
adamc@1213
|
1392 (if !debug then
|
adamc@1213
|
1393 Print.prefaces "Match"
|
adamc@1213
|
1394 [("Hyp", p_prop p),
|
adamc@1213
|
1395 ("Goal", p_prop pol)]
|
adamc@1213
|
1396 else
|
adamc@1213
|
1397 ();
|
adamc@1213
|
1398 true)
|
adamc@1213
|
1399 else
|
adamc@1213
|
1400 false) pols then
|
adamc@1213
|
1401 ()
|
adamc@1213
|
1402 else
|
adamc@1213
|
1403 (ErrorMsg.errorAt loc "The information flow policy may be violated here.";
|
adamc@1213
|
1404 Print.preface ("The state satisifes this predicate:", p_prop p))
|
adamc@1213
|
1405 end
|
adamc@1213
|
1406
|
adamc@1213
|
1407 fun doAll e =
|
adamc@1213
|
1408 case e of
|
adamc@1213
|
1409 Const _ => ()
|
adamc@1213
|
1410 | Var _ => doOne e
|
adamc@1213
|
1411 | Lvar _ => raise Fail "Iflow.doAll: Lvar"
|
adamc@1213
|
1412 | Func (f, es) => if String.isPrefix "un" f then
|
adamc@1213
|
1413 doOne e
|
adamc@1213
|
1414 else
|
adamc@1213
|
1415 app doAll es
|
adamc@1213
|
1416 | Recd xes => app (doAll o #2) xes
|
adamc@1213
|
1417 | Proj _ => doOne e
|
adamc@1213
|
1418 | Finish => ()
|
adamc@1207
|
1419 in
|
adamc@1213
|
1420 doAll e
|
adamc@1207
|
1421 end) vals
|
adamc@1200
|
1422 end
|
adamc@1200
|
1423
|
adamc@1213
|
1424 val check = fn file =>
|
adamc@1213
|
1425 let
|
adamc@1213
|
1426 val oldInline = Settings.getMonoInline ()
|
adamc@1213
|
1427 in
|
adamc@1213
|
1428 (Settings.setMonoInline (case Int.maxInt of
|
adamc@1213
|
1429 NONE => 1000000
|
adamc@1213
|
1430 | SOME n => n);
|
adamc@1213
|
1431 check file;
|
adamc@1213
|
1432 Settings.setMonoInline oldInline)
|
adamc@1213
|
1433 handle ex => (Settings.setMonoInline oldInline;
|
adamc@1213
|
1434 raise ex)
|
adamc@1213
|
1435 end
|
adamc@1213
|
1436
|
adamc@1200
|
1437 end
|
adamc@1213
|
1438
|