adamc@133
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1 (* Copyright (c) 2008, 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 (* Simplify a Mono program algebraically *)
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29
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30 structure MonoReduce :> MONO_REDUCE = struct
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31
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32 open Mono
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33
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34 structure E = MonoEnv
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35 structure U = MonoUtil
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36
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37 structure IM = IntBinaryMap
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38
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39
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40 fun impure (e, _) =
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41 case e of
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42 EWrite _ => true
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43 | EQuery _ => true
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44 | EDml _ => true
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45 | ENextval _ => true
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46 | EUnurlify _ => true
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47 | EAbs _ => false
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48
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49 | EPrim _ => false
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50 | ERel _ => false
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51 | ENamed _ => false
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52 | ECon (_, _, eo) => (case eo of NONE => false | SOME e => impure e)
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53 | ENone _ => false
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54 | ESome (_, e) => impure e
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55 | EFfi _ => false
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56 | EFfiApp ("Basis", "set_cookie", _) => true
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57 | EFfiApp _ => false
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58 | EApp ((EFfi _, _), _) => false
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59 | EApp _ => true
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60
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61 | EUnop (_, e) => impure e
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62 | EBinop (_, e1, e2) => impure e1 orelse impure e2
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63
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64 | ERecord xes => List.exists (fn (_, e, _) => impure e) xes
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65 | EField (e, _) => impure e
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66
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67 | ECase (e, pes, _) => impure e orelse List.exists (fn (_, e) => impure e) pes
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68
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69 | EError (e, _) => impure e
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70
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71 | EStrcat (e1, e2) => impure e1 orelse impure e2
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72
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73 | ESeq (e1, e2) => impure e1 orelse impure e2
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74 | ELet (_, _, e1, e2) => impure e1 orelse impure e2
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75
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76 | EClosure (_, es) => List.exists impure es
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77
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78
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79 val liftExpInExp = Monoize.liftExpInExp
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80
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81 val subExpInExp' =
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82 U.Exp.mapB {typ = fn t => t,
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83 exp = fn (xn, rep) => fn e =>
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84 case e of
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85 ERel xn' =>
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86 (case Int.compare (xn', xn) of
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87 EQUAL => #1 rep
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88 | GREATER=> ERel (xn' - 1)
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89 | LESS => e)
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90 | _ => e,
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91 bind = fn ((xn, rep), U.Exp.RelE _) => (xn+1, liftExpInExp 0 rep)
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92 | (ctx, _) => ctx}
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93
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94 fun subExpInExp (n, e1) e2 =
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95 let
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96 val r = subExpInExp' (n, e1) e2
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97 in
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98 (*Print.prefaces "subExpInExp" [("e1", MonoPrint.p_exp MonoEnv.empty e1),
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99 ("e2", MonoPrint.p_exp MonoEnv.empty e2),
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100 ("r", MonoPrint.p_exp MonoEnv.empty r)];*)
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101 r
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102 end
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103
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104 fun typ c = c
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105
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106 val swapExpVars =
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107 U.Exp.mapB {typ = fn t => t,
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108 exp = fn lower => fn e =>
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109 case e of
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110 ERel xn =>
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111 if xn = lower then
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112 ERel (lower + 1)
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113 else if xn = lower + 1 then
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114 ERel lower
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115 else
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116 e
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117 | _ => e,
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118 bind = fn (lower, U.Exp.RelE _) => lower+1
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119 | (lower, _) => lower}
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120
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121 val swapExpVarsPat =
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122 U.Exp.mapB {typ = fn t => t,
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123 exp = fn (lower, len) => fn e =>
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124 case e of
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125 ERel xn =>
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126 if xn = lower then
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127 ERel (lower + 1)
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128 else if xn >= lower + 1 andalso xn < lower + 1 + len then
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129 ERel (xn - 1)
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130 else
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131 e
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132 | _ => e,
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133 bind = fn ((lower, len), U.Exp.RelE _) => (lower+1, len)
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134 | (st, _) => st}
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135
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136 datatype result = Yes of E.env | No | Maybe
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137
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138 fun match (env, p : pat, e : exp) =
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139 case (#1 p, #1 e) of
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140 (PWild, _) => Yes env
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141 | (PVar (x, t), _) => Yes (E.pushERel env x t (SOME e))
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142
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143 | (PPrim (Prim.String s), EStrcat ((EPrim (Prim.String s'), _), _)) =>
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144 if String.isPrefix s' s then
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145 Maybe
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146 else
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147 No
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148
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149 | (PPrim p, EPrim p') =>
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150 if Prim.equal (p, p') then
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151 Yes env
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152 else
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153 No
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154
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155 | (PCon (_, PConVar n1, NONE), ECon (_, PConVar n2, NONE)) =>
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156 if n1 = n2 then
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157 Yes env
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158 else
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159 No
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160
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161 | (PCon (_, PConVar n1, SOME p), ECon (_, PConVar n2, SOME e)) =>
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162 if n1 = n2 then
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163 match (env, p, e)
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164 else
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165 No
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166
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167 | (PCon (_, PConFfi {mod = m1, con = con1, ...}, NONE), ECon (_, PConFfi {mod = m2, con = con2, ...}, NONE)) =>
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168 if m1 = m2 andalso con1 = con2 then
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169 Yes env
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170 else
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171 No
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172
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173 | (PCon (_, PConFfi {mod = m1, con = con1, ...}, SOME ep), ECon (_, PConFfi {mod = m2, con = con2, ...}, SOME e)) =>
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174 if m1 = m2 andalso con1 = con2 then
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175 match (env, p, e)
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176 else
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177 No
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178
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179 | (PRecord xps, ERecord xes) =>
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180 let
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181 fun consider (xps, env) =
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182 case xps of
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183 [] => Yes env
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184 | (x, p, _) :: rest =>
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185 case List.find (fn (x', _, _) => x' = x) xes of
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186 NONE => No
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187 | SOME (_, e, _) =>
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188 case match (env, p, e) of
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189 No => No
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190 | Maybe => Maybe
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191 | Yes env => consider (rest, env)
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192 in
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193 consider (xps, env)
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194 end
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195
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196 | _ => Maybe
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197
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198 datatype event =
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199 WritePage
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200 | ReadDb
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201 | WriteDb
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202 | UseRel
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203 | Unsure
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204
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205 fun p_event e =
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206 let
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207 open Print.PD
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208 in
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209 case e of
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210 WritePage => string "WritePage"
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211 | ReadDb => string "ReadDb"
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212 | WriteDb => string "WriteDb"
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213 | UseRel => string "UseRel"
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214 | Unsure => string "Unsure"
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215 end
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216
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217 val p_events = Print.p_list p_event
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218
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219 fun patBinds (p, _) =
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220 case p of
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221 PWild => 0
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222 | PVar _ => 1
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223 | PPrim _ => 0
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224 | PCon (_, _, NONE) => 0
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225 | PCon (_, _, SOME p) => patBinds p
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226 | PRecord xpts => foldl (fn ((_, p, _), n) => n + patBinds p) 0 xpts
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227 | PNone _ => 0
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228 | PSome (_, p) => patBinds p
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229
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230 fun reduce file =
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231 let
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232 fun countAbs (e, _) =
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233 case e of
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234 EAbs (_, _, _, e) => 1 + countAbs e
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235 | _ => 0
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236
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237 val absCounts =
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238 foldl (fn ((d, _), absCounts) =>
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239 case d of
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240 DVal (_, n, _, e, _) =>
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241 IM.insert (absCounts, n, countAbs e)
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242 | DValRec vis =>
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243 foldl (fn ((_, n, _, e, _), absCounts) =>
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244 IM.insert (absCounts, n, countAbs e))
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245 absCounts vis
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246 | _ => absCounts)
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247 IM.empty file
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248
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249 fun summarize d (e, _) =
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250 case e of
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251 EPrim _ => []
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252 | ERel n => if n = d then [UseRel] else []
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253 | ENamed _ => []
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254 | ECon (_, _, NONE) => []
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255 | ECon (_, _, SOME e) => summarize d e
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256 | ENone _ => []
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257 | ESome (_, e) => summarize d e
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258 | EFfi _ => []
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259 | EFfiApp ("Basis", "set_cookie", _) => [Unsure]
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260 | EFfiApp (_, _, es) => List.concat (map (summarize d) es)
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261 | EApp ((EFfi _, _), e) => summarize d e
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262 | EApp _ =>
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263 let
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264 fun unravel (e, ls) =
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265 case e of
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266 ENamed n =>
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267 let
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268 val ls = rev ls
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269 in
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270 case IM.find (absCounts, n) of
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271 NONE => [Unsure]
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272 | SOME len =>
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273 if length ls < len then
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274 ls
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275 else
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276 [Unsure]
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277 end
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278 | ERel n => List.revAppend (ls,
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279 if n = d then
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280 [UseRel, Unsure]
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281 else
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282 [Unsure])
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283 | EApp (f, x) =>
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284 unravel (#1 f, summarize d x @ ls)
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285 | _ => [Unsure]
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286 in
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287 unravel (e, [])
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288 end
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289
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290 | EAbs _ => []
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291
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292 | EUnop (_, e) => summarize d e
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293 | EBinop (_, e1, e2) => summarize d e1 @ summarize d e2
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294
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295 | ERecord xets => List.concat (map (summarize d o #2) xets)
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296 | EField (e, _) => summarize d e
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297
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298 | ECase (e, pes, _) =>
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299 let
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300 val lss = map (fn (p, e) => summarize (d + patBinds p) e) pes
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301 in
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302 case lss of
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303 [] => raise Fail "Empty pattern match"
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304 | ls :: lss =>
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305 if List.all (fn ls' => ls' = ls) lss then
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306 summarize d e @ ls
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307 else
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308 [Unsure]
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309 end
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310 | EStrcat (e1, e2) => summarize d e1 @ summarize d e2
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311
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312 | EError (e, _) => summarize d e @ [Unsure]
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313
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314 | EWrite e => summarize d e @ [WritePage]
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315
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316 | ESeq (e1, e2) => summarize d e1 @ summarize d e2
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317 | ELet (_, _, e1, e2) => summarize d e1 @ summarize (d + 1) e2
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318
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319 | EClosure (_, es) => List.concat (map (summarize d) es)
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320
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321 | EQuery {query, body, initial, ...} =>
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322 List.concat [summarize d query,
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323 summarize (d + 2) body,
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324 summarize d initial,
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325 [ReadDb]]
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326
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327 | EDml e => summarize d e @ [WriteDb]
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328 | ENextval e => summarize d e @ [WriteDb]
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329 | EUnurlify (e, _) => summarize d e
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330
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331
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332 fun exp env e =
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333 let
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334 (*val () = Print.prefaces "exp" [("e", MonoPrint.p_exp env (e, ErrorMsg.dummySpan))]*)
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335
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336 val r =
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337 case e of
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338 ERel n =>
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339 (case E.lookupERel env n of
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340 (_, _, SOME e') => #1 e'
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341 | _ => e)
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342 | ENamed n =>
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343 (case E.lookupENamed env n of
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344 (_, _, SOME e', _) => ((*Print.prefaces "Switch" [("n", Print.PD.string (Int.toString n)),
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345 ("e'", MonoPrint.p_exp env e')];*)
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346 #1 e')
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347 | _ => e)
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348
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349 | EApp ((EAbs (x, t, _, e1), loc), e2) =>
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350 ((*Print.prefaces "Considering" [("e1", MonoPrint.p_exp (E.pushERel env x t NONE) e1),
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351 ("e2", MonoPrint.p_exp env e2),
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352 ("sub", MonoPrint.p_exp env (reduceExp env (subExpInExp (0, e2) e1)))];*)
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353 if impure e2 then
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354 #1 (reduceExp env (ELet (x, t, e2, e1), loc))
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adamc@470
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355 else
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adamc@470
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356 #1 (reduceExp env (subExpInExp (0, e2) e1)))
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adamc@470
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357
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adamc@470
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358 | ECase (e', pes, {disc, result}) =>
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adamc@442
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359 let
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adamc@470
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360 fun push () =
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adamc@470
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361 case result of
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adamc@470
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362 (TFun (dom, result), loc) =>
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adamc@470
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363 if List.all (fn (_, (EAbs _, _)) => true | _ => false) pes then
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adamc@470
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364 EAbs ("_", dom, result,
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adamc@470
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365 (ECase (liftExpInExp 0 e',
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adamc@470
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366 map (fn (p, (EAbs (_, _, _, e), _)) =>
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adamc@470
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367 (p, swapExpVarsPat (0, patBinds p) e)
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adamc@470
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368 | _ => raise Fail "MonoReduce ECase") pes,
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adamc@470
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369 {disc = disc, result = result}), loc))
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adamc@470
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370 else
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adamc@470
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371 e
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adamc@470
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372 | _ => e
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adamc@318
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373
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adamc@470
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374 fun search pes =
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adamc@470
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375 case pes of
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adamc@470
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376 [] => push ()
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adamc@470
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377 | (p, body) :: pes =>
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adamc@470
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378 case match (env, p, e') of
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adamc@470
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379 No => search pes
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adamc@470
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380 | Maybe => push ()
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adamc@470
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381 | Yes env => #1 (reduceExp env body)
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adamc@470
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382 in
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adamc@470
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383 search pes
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adamc@470
|
384 end
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adamc@318
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385
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adamc@470
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386 | EField ((ERecord xes, _), x) =>
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adamc@470
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387 (case List.find (fn (x', _, _) => x' = x) xes of
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adamc@470
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388 SOME (_, e, _) => #1 e
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adamc@470
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389 | NONE => e)
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adamc@398
|
390
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adamc@470
|
391 | ELet (x1, t1, (ELet (x2, t2, e1, b1), loc), b2) =>
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adamc@470
|
392 let
|
adamc@470
|
393 val e' = (ELet (x2, t2, e1,
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adamc@470
|
394 (ELet (x1, t1, b1,
|
adamc@470
|
395 liftExpInExp 1 b2), loc)), loc)
|
adamc@442
|
396 in
|
adamc@470
|
397 (*Print.prefaces "ELet commute" [("e", MonoPrint.p_exp env (e, loc)),
|
adamc@470
|
398 ("e'", MonoPrint.p_exp env e')];*)
|
adamc@470
|
399 #1 (reduceExp env e')
|
adamc@470
|
400 end
|
adamc@470
|
401 | EApp ((ELet (x, t, e, b), loc), e') =>
|
adamc@470
|
402 #1 (reduceExp env (ELet (x, t, e,
|
adamc@470
|
403 (EApp (b, liftExpInExp 0 e'), loc)), loc))
|
adamc@470
|
404
|
adamc@470
|
405 | ELet (x, t, e', (EAbs (x', t' as (TRecord [], _), ran, e''), loc)) =>
|
adamc@470
|
406 (*if impure e' then
|
adamc@470
|
407 e
|
adamc@470
|
408 else*)
|
adamc@470
|
409 (* Seems unsound in general without the check... should revisit later *)
|
adamc@470
|
410 EAbs (x', t', ran, (ELet (x, t, liftExpInExp 0 e', swapExpVars 0 e''), loc))
|
adamc@470
|
411
|
adamc@470
|
412 | ELet (x, t, e', b) =>
|
adamc@470
|
413 let
|
adamc@470
|
414 fun doSub () =
|
adamc@470
|
415 #1 (reduceExp env (subExpInExp (0, e') b))
|
adamc@470
|
416
|
adamc@470
|
417 fun trySub () =
|
adamc@470
|
418 case t of
|
adamc@470
|
419 (TFfi ("Basis", "string"), _) => doSub ()
|
adamc@470
|
420 | _ =>
|
adamc@470
|
421 case e' of
|
adamc@470
|
422 (ECase _, _) => e
|
adamc@470
|
423 | _ => doSub ()
|
adamc@470
|
424 in
|
adamc@470
|
425 if impure e' then
|
adamc@470
|
426 let
|
adamc@470
|
427 val effs_e' = summarize 0 e'
|
adamc@489
|
428 val effs_e' = List.filter (fn x => x <> UseRel) effs_e'
|
adamc@470
|
429 val effs_b = summarize 0 b
|
adamc@470
|
430
|
adamc@470
|
431 (*val () = Print.prefaces "Try"
|
adamc@489
|
432 [("e", MonoPrint.p_exp env (e, ErrorMsg.dummySpan)),
|
adamc@489
|
433 ("e'", p_events effs_e'),
|
adamc@489
|
434 ("b", p_events effs_b)]*)
|
adamc@470
|
435
|
adamc@470
|
436 fun does eff = List.exists (fn eff' => eff' = eff) effs_e'
|
adamc@470
|
437 val writesPage = does WritePage
|
adamc@470
|
438 val readsDb = does ReadDb
|
adamc@470
|
439 val writesDb = does WriteDb
|
adamc@470
|
440
|
adamc@470
|
441 fun verifyUnused eff =
|
adamc@470
|
442 case eff of
|
adamc@481
|
443 UseRel => false
|
adamc@470
|
444 | _ => true
|
adamc@470
|
445
|
adamc@470
|
446 fun verifyCompatible effs =
|
adamc@470
|
447 case effs of
|
adamc@470
|
448 [] => false
|
adamc@470
|
449 | eff :: effs =>
|
adamc@470
|
450 case eff of
|
adamc@470
|
451 Unsure => false
|
adamc@481
|
452 | UseRel => List.all verifyUnused effs
|
adamc@470
|
453 | WritePage => not writesPage andalso verifyCompatible effs
|
adamc@470
|
454 | ReadDb => not writesDb andalso verifyCompatible effs
|
adamc@470
|
455 | WriteDb => not writesDb andalso not readsDb andalso verifyCompatible effs
|
adamc@470
|
456 in
|
adamc@470
|
457 (*Print.prefaces "verifyCompatible"
|
adamc@470
|
458 [("e'", MonoPrint.p_exp env e'),
|
adamc@470
|
459 ("b", MonoPrint.p_exp (E.pushERel env x t NONE) b),
|
adamc@470
|
460 ("effs_e'", Print.p_list p_event effs_e'),
|
adamc@470
|
461 ("effs_b", Print.p_list p_event effs_b)];*)
|
adamc@481
|
462 if List.null effs_e' orelse verifyCompatible effs_b then
|
adamc@470
|
463 trySub ()
|
adamc@470
|
464 else
|
adamc@470
|
465 e
|
adamc@470
|
466 end
|
adamc@470
|
467 else
|
adamc@442
|
468 trySub ()
|
adamc@442
|
469 end
|
adamc@252
|
470
|
adamc@470
|
471 | EStrcat ((EPrim (Prim.String s1), _), (EPrim (Prim.String s2), _)) =>
|
adamc@470
|
472 EPrim (Prim.String (s1 ^ s2))
|
adamc@268
|
473
|
adamc@470
|
474 | _ => e
|
adamc@470
|
475 in
|
adamc@470
|
476 (*Print.prefaces "exp'" [("r", MonoPrint.p_exp env (r, ErrorMsg.dummySpan))];*)
|
adamc@470
|
477 r
|
adamc@470
|
478 end
|
adamc@470
|
479
|
adamc@470
|
480 and bind (env, b) =
|
adamc@470
|
481 case b of
|
adamc@470
|
482 U.Decl.Datatype (x, n, xncs) => E.pushDatatype env x n xncs
|
adamc@470
|
483 | U.Decl.RelE (x, t) => E.pushERel env x t NONE
|
adamc@470
|
484 | U.Decl.NamedE (x, n, t, eo, s) => E.pushENamed env x n t (Option.map (reduceExp env) eo) s
|
adamc@470
|
485
|
adamc@470
|
486 and reduceExp env = U.Exp.mapB {typ = typ, exp = exp, bind = bind} env
|
adamc@470
|
487
|
adamc@470
|
488 fun decl env d = d
|
adamc@398
|
489 in
|
adamc@470
|
490 U.File.mapB {typ = typ, exp = exp, decl = decl, bind = bind} E.empty file
|
adamc@398
|
491 end
|
adamc@133
|
492
|
adamc@133
|
493 end
|