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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
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38 fun impure (e, _) =
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39 case e of
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40 EWrite _ => true
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41 | EQuery _ => true
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42 | EDml _ => true
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43 | EAbs _ => false
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44
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45 | EPrim _ => false
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46 | ERel _ => false
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47 | ENamed _ => false
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48 | ECon (_, _, eo) => (case eo of NONE => false | SOME e => impure e)
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49 | ENone _ => false
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50 | ESome (_, e) => impure e
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51 | EFfi _ => false
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52 | EFfiApp _ => false
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53 | EApp ((EFfi _, _), _) => false
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54 | EApp _ => true
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55
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56 | ERecord xes => List.exists (fn (_, e, _) => impure e) xes
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57 | EField (e, _) => impure e
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58
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59 | ECase (e, pes, _) => impure e orelse List.exists (fn (_, e) => impure e) pes
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60
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61 | EError (e, _) => impure e
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62
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63 | EStrcat (e1, e2) => impure e1 orelse impure e2
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64
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65 | ESeq (e1, e2) => impure e1 orelse impure e2
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66 | ELet (_, _, e1, e2) => impure e1 orelse impure e2
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67
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68 | EClosure (_, es) => List.exists impure es
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69
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70
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71 val liftExpInExp = Monoize.liftExpInExp
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72
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73 val subExpInExp' =
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74 U.Exp.mapB {typ = fn t => t,
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75 exp = fn (xn, rep) => fn e =>
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76 case e of
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77 ERel xn' =>
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78 (case Int.compare (xn', xn) of
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79 EQUAL => #1 rep
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80 | GREATER=> ERel (xn' - 1)
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81 | LESS => e)
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82 | _ => e,
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83 bind = fn ((xn, rep), U.Exp.RelE _) => (xn+1, liftExpInExp 0 rep)
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84 | (ctx, _) => ctx}
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85
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86 fun subExpInExp (n, e1) e2 =
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87 let
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88 val r = subExpInExp' (n, e1) e2
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89 in
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90 (*Print.prefaces "subExpInExp" [("e1", MonoPrint.p_exp MonoEnv.empty e1),
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91 ("e2", MonoPrint.p_exp MonoEnv.empty e2),
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92 ("r", MonoPrint.p_exp MonoEnv.empty r)];*)
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93 r
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94 end
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95
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96 fun typ c = c
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97
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98 datatype result = Yes of E.env | No | Maybe
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99
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100 fun match (env, p : pat, e : exp) =
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101 case (#1 p, #1 e) of
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102 (PWild, _) => Yes env
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103 | (PVar (x, t), _) => Yes (E.pushERel env x t (SOME e))
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104
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105 | (PPrim (Prim.String s), EStrcat ((EPrim (Prim.String s'), _), _)) =>
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106 if String.isPrefix s' s then
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107 Maybe
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108 else
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109 No
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110
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111 | (PPrim p, EPrim p') =>
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112 if Prim.equal (p, p') then
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113 Yes env
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114 else
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115 No
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116
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117 | (PCon (_, PConVar n1, NONE), ECon (_, PConVar n2, NONE)) =>
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118 if n1 = n2 then
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119 Yes env
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120 else
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121 No
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122
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123 | (PCon (_, PConVar n1, SOME p), ECon (_, PConVar n2, SOME e)) =>
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124 if n1 = n2 then
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125 match (env, p, e)
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126 else
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127 No
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128
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129 | (PCon (_, PConFfi {mod = m1, con = con1, ...}, NONE), ECon (_, PConFfi {mod = m2, con = con2, ...}, NONE)) =>
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130 if m1 = m2 andalso con1 = con2 then
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131 Yes env
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132 else
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133 No
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134
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135 | (PCon (_, PConFfi {mod = m1, con = con1, ...}, SOME ep), ECon (_, PConFfi {mod = m2, con = con2, ...}, SOME e)) =>
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136 if m1 = m2 andalso con1 = con2 then
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137 match (env, p, e)
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138 else
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139 No
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140
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141 | (PRecord xps, ERecord xes) =>
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142 let
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143 fun consider (xps, env) =
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144 case xps of
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145 [] => Yes env
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146 | (x, p, _) :: rest =>
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147 case List.find (fn (x', _, _) => x' = x) xes of
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148 NONE => No
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149 | SOME (_, e, _) =>
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150 case match (env, p, e) of
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151 No => No
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152 | Maybe => Maybe
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153 | Yes env => consider (rest, env)
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154 in
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155 consider (xps, env)
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156 end
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157
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158 | _ => Maybe
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159
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160 fun exp env e =
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161 case e of
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162 ERel n =>
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163 (case E.lookupERel env n of
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164 (_, _, SOME e') => #1 e'
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165 | _ => e)
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166 | ENamed n =>
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167 (case E.lookupENamed env n of
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168 (_, _, SOME e', _) => #1 e'
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169 | _ => e)
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170
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171 | EApp ((EAbs (x, t, _, e1), loc), e2) =>
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172 ((*Print.prefaces "Considering" [("e1", MonoPrint.p_exp env e1),
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173 ("e2", MonoPrint.p_exp env e2)];*)
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174 if impure e2 then
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175 #1 (reduceExp env (ELet (x, t, e2, e1), loc))
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176 else
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177 #1 (reduceExp env (subExpInExp (0, e2) e1)))
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178
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179 | ECase (disc, pes, _) =>
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180 let
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181 fun search pes =
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182 case pes of
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183 [] => e
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184 | (p, body) :: pes =>
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185 case match (env, p, disc) of
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186 No => search pes
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187 | Maybe => e
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188 | Yes env => #1 (reduceExp env body)
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189 in
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190 search pes
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191 end
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192
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193 | EField ((ERecord xes, _), x) =>
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194 (case List.find (fn (x', _, _) => x' = x) xes of
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195 SOME (_, e, _) => #1 e
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196 | NONE => e)
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197
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198 | ELet (x1, t1, (ELet (x2, t2, e1, b1), loc), b2) =>
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199 let
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200 val e' = (ELet (x2, t2, e1,
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201 (ELet (x1, t1, b1,
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202 liftExpInExp 1 b2), loc)), loc)
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203 in
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204 (*Print.prefaces "ELet commute" [("e", MonoPrint.p_exp env (e, loc)),
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205 ("e'", MonoPrint.p_exp env e')];*)
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206 #1 (reduceExp env e')
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207 end
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208 | EApp ((ELet (x, t, e, b), loc), e') =>
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209 #1 (reduceExp env (ELet (x, t, e,
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210 (EApp (b, liftExpInExp 0 e'), loc)), loc))
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211 | ELet (x, t, e', b) =>
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212 if impure e' then
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213 e
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214 else
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215 #1 (reduceExp env (subExpInExp (0, e') b))
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216
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217 | EStrcat ((EPrim (Prim.String s1), _), (EPrim (Prim.String s2), _)) =>
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218 EPrim (Prim.String (s1 ^ s2))
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219
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220 | _ => e
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221
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222 and bind (env, b) =
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223 case b of
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224 U.Decl.Datatype (x, n, xncs) => E.pushDatatype env x n xncs
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225 | U.Decl.RelE (x, t) => E.pushERel env x t NONE
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226 | U.Decl.NamedE (x, n, t, eo, s) => E.pushENamed env x n t (Option.map (reduceExp env) eo) s
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227
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228 and reduceExp env = U.Exp.mapB {typ = typ, exp = exp, bind = bind} env
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229
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230 fun decl env d = d
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231
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232 val reduce = U.File.mapB {typ = typ, exp = exp, decl = decl, bind = bind} E.empty
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233
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234 end
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