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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 structure ExplUtil :> EXPL_UTIL = struct
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29
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30 open Expl
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31
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32 structure S = Search
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33
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34 structure Kind = struct
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35
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36 fun mapfold f =
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37 let
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38 fun mfk k acc =
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39 S.bindP (mfk' k acc, f)
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40
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41 and mfk' (kAll as (k, loc)) =
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42 case k of
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43 KType => S.return2 kAll
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44
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45 | KArrow (k1, k2) =>
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46 S.bind2 (mfk k1,
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47 fn k1' =>
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48 S.map2 (mfk k2,
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49 fn k2' =>
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50 (KArrow (k1', k2'), loc)))
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51
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52 | KName => S.return2 kAll
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53
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54 | KRecord k =>
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55 S.map2 (mfk k,
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56 fn k' =>
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57 (KRecord k', loc))
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58
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59 | KUnit => S.return2 kAll
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60 in
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61 mfk
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62 end
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63
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64 fun exists f k =
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65 case mapfold (fn k => fn () =>
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66 if f k then
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67 S.Return ()
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68 else
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69 S.Continue (k, ())) k () of
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70 S.Return _ => true
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71 | S.Continue _ => false
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72
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73 end
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74
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75 structure Con = struct
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76
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77 datatype binder =
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78 Rel of string * Expl.kind
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79 | Named of string * Expl.kind
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80
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81 fun mapfoldB {kind = fk, con = fc, bind} =
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82 let
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83 val mfk = Kind.mapfold fk
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84
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85 fun mfc ctx c acc =
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86 S.bindP (mfc' ctx c acc, fc ctx)
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87
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88 and mfc' ctx (cAll as (c, loc)) =
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89 case c of
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90 TFun (c1, c2) =>
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91 S.bind2 (mfc ctx c1,
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92 fn c1' =>
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93 S.map2 (mfc ctx c2,
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94 fn c2' =>
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95 (TFun (c1', c2'), loc)))
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96 | TCFun (x, k, c) =>
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97 S.bind2 (mfk k,
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98 fn k' =>
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99 S.map2 (mfc (bind (ctx, Rel (x, k))) c,
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100 fn c' =>
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101 (TCFun (x, k', c'), loc)))
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102 | TRecord c =>
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103 S.map2 (mfc ctx c,
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104 fn c' =>
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105 (TRecord c', loc))
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106
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107 | CRel _ => S.return2 cAll
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108 | CNamed _ => S.return2 cAll
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109 | CModProj _ => S.return2 cAll
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110 | CApp (c1, c2) =>
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111 S.bind2 (mfc ctx c1,
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112 fn c1' =>
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113 S.map2 (mfc ctx c2,
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114 fn c2' =>
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115 (CApp (c1', c2'), loc)))
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116 | CAbs (x, k, c) =>
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117 S.bind2 (mfk k,
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118 fn k' =>
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119 S.map2 (mfc (bind (ctx, Rel (x, k))) c,
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120 fn c' =>
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121 (CAbs (x, k', c'), loc)))
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122
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123 | CName _ => S.return2 cAll
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124
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125 | CRecord (k, xcs) =>
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126 S.bind2 (mfk k,
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127 fn k' =>
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128 S.map2 (ListUtil.mapfold (fn (x, c) =>
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129 S.bind2 (mfc ctx x,
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130 fn x' =>
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131 S.map2 (mfc ctx c,
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132 fn c' =>
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133 (x', c'))))
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134 xcs,
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135 fn xcs' =>
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136 (CRecord (k', xcs'), loc)))
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137 | CConcat (c1, c2) =>
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138 S.bind2 (mfc ctx c1,
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139 fn c1' =>
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140 S.map2 (mfc ctx c2,
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141 fn c2' =>
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142 (CConcat (c1', c2'), loc)))
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143 | CFold (k1, k2) =>
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144 S.bind2 (mfk k1,
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145 fn k1' =>
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146 S.map2 (mfk k2,
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147 fn k2' =>
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148 (CFold (k1', k2'), loc)))
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149
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150 | CUnit => S.return2 cAll
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151 in
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152 mfc
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153 end
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154
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155 fun mapfold {kind = fk, con = fc} =
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156 mapfoldB {kind = fk,
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157 con = fn () => fc,
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158 bind = fn ((), _) => ()} ()
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159
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160 fun mapB {kind, con, bind} ctx c =
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161 case mapfoldB {kind = fn k => fn () => S.Continue (kind k, ()),
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162 con = fn ctx => fn c => fn () => S.Continue (con ctx c, ()),
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163 bind = bind} ctx c () of
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164 S.Continue (c, ()) => c
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165 | S.Return _ => raise Fail "ExplUtil.Con.mapB: Impossible"
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166
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167 fun map {kind, con} s =
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168 case mapfold {kind = fn k => fn () => S.Continue (kind k, ()),
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169 con = fn c => fn () => S.Continue (con c, ())} s () of
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170 S.Return () => raise Fail "ExplUtil.Con.map: Impossible"
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171 | S.Continue (s, ()) => s
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172
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173 fun exists {kind, con} k =
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174 case mapfold {kind = fn k => fn () =>
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175 if kind k then
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176 S.Return ()
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177 else
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178 S.Continue (k, ()),
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179 con = fn c => fn () =>
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180 if con c then
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181 S.Return ()
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182 else
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183 S.Continue (c, ())} k () of
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184 S.Return _ => true
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185 | S.Continue _ => false
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186
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187 end
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188
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189 structure Exp = struct
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190
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191 datatype binder =
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192 RelC of string * Expl.kind
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193 | NamedC of string * Expl.kind
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194 | RelE of string * Expl.con
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195 | NamedE of string * Expl.con
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196
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197 fun mapfoldB {kind = fk, con = fc, exp = fe, bind} =
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198 let
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199 val mfk = Kind.mapfold fk
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200
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201 fun bind' (ctx, b) =
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202 let
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203 val b' = case b of
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204 Con.Rel x => RelC x
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205 | Con.Named x => NamedC x
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206 in
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207 bind (ctx, b')
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208 end
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209 val mfc = Con.mapfoldB {kind = fk, con = fc, bind = bind'}
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210
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211 fun mfe ctx e acc =
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212 S.bindP (mfe' ctx e acc, fe ctx)
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213
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214 and mfe' ctx (eAll as (e, loc)) =
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215 case e of
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216 EPrim _ => S.return2 eAll
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217 | ERel _ => S.return2 eAll
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218 | ENamed _ => S.return2 eAll
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219 | EModProj _ => S.return2 eAll
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220 | EApp (e1, e2) =>
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221 S.bind2 (mfe ctx e1,
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222 fn e1' =>
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223 S.map2 (mfe ctx e2,
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224 fn e2' =>
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225 (EApp (e1', e2'), loc)))
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226 | EAbs (x, dom, ran, e) =>
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227 S.bind2 (mfc ctx dom,
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228 fn dom' =>
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229 S.bind2 (mfc ctx ran,
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230 fn ran' =>
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231 S.map2 (mfe (bind (ctx, RelE (x, dom'))) e,
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232 fn e' =>
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233 (EAbs (x, dom', ran', e'), loc))))
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234
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235 | ECApp (e, c) =>
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236 S.bind2 (mfe ctx e,
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237 fn e' =>
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238 S.map2 (mfc ctx c,
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239 fn c' =>
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240 (ECApp (e', c'), loc)))
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241 | ECAbs (x, k, e) =>
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242 S.bind2 (mfk k,
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243 fn k' =>
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244 S.map2 (mfe (bind (ctx, RelC (x, k))) e,
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245 fn e' =>
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246 (ECAbs (x, k', e'), loc)))
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247
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248 | ERecord xes =>
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249 S.map2 (ListUtil.mapfold (fn (x, e, t) =>
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250 S.bind2 (mfc ctx x,
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251 fn x' =>
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252 S.bind2 (mfe ctx e,
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253 fn e' =>
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254 S.map2 (mfc ctx t,
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255 fn t' =>
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256 (x', e', t')))))
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257 xes,
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258 fn xes' =>
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259 (ERecord xes', loc))
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260 | EField (e, c, {field, rest}) =>
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261 S.bind2 (mfe ctx e,
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262 fn e' =>
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263 S.bind2 (mfc ctx c,
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264 fn c' =>
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265 S.bind2 (mfc ctx field,
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266 fn field' =>
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267 S.map2 (mfc ctx rest,
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268 fn rest' =>
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269 (EField (e', c', {field = field', rest = rest'}), loc)))))
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270 | ECut (e, c, {field, rest}) =>
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271 S.bind2 (mfe ctx e,
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272 fn e' =>
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273 S.bind2 (mfc ctx c,
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274 fn c' =>
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275 S.bind2 (mfc ctx field,
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276 fn field' =>
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277 S.map2 (mfc ctx rest,
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278 fn rest' =>
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279 (ECut (e', c', {field = field', rest = rest'}), loc)))))
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280 | EFold k =>
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281 S.map2 (mfk k,
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282 fn k' =>
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283 (EFold k', loc))
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284
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285 | EWrite e =>
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286 S.map2 (mfe ctx e,
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287 fn e' =>
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288 (EWrite e', loc))
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289
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290 | ECase (e, pes, {disc, result}) =>
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291 S.bind2 (mfe ctx e,
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292 fn e' =>
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293 S.bind2 (ListUtil.mapfold (fn (p, e) =>
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294 S.map2 (mfe ctx e,
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295 fn e' => (p, e'))) pes,
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296 fn pes' =>
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297 S.bind2 (mfc ctx disc,
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298 fn disc' =>
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299 S.map2 (mfc ctx result,
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300 fn result' =>
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301 (ECase (e', pes', {disc = disc', result = result'}), loc)))))
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302 in
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303 mfe
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304 end
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305
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306 fun mapfold {kind = fk, con = fc, exp = fe} =
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307 mapfoldB {kind = fk,
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308 con = fn () => fc,
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309 exp = fn () => fe,
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310 bind = fn ((), _) => ()} ()
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311
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312 fun exists {kind, con, exp} k =
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313 case mapfold {kind = fn k => fn () =>
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314 if kind k then
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315 S.Return ()
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316 else
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317 S.Continue (k, ()),
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318 con = fn c => fn () =>
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319 if con c then
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320 S.Return ()
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321 else
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322 S.Continue (c, ()),
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323 exp = fn e => fn () =>
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324 if exp e then
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325 S.Return ()
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326 else
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327 S.Continue (e, ())} k () of
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328 S.Return _ => true
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329 | S.Continue _ => false
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330
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331 end
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332
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333 structure Sgn = struct
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334
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335 datatype binder =
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336 RelC of string * Expl.kind
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337 | NamedC of string * Expl.kind
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338 | Str of string * Expl.sgn
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339 | Sgn of string * Expl.sgn
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340
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341 fun mapfoldB {kind, con, sgn_item, sgn, bind} =
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342 let
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343 fun bind' (ctx, b) =
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344 let
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345 val b' = case b of
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346 Con.Rel x => RelC x
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347 | Con.Named x => NamedC x
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348 in
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349 bind (ctx, b')
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350 end
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351 val con = Con.mapfoldB {kind = kind, con = con, bind = bind'}
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352
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353 val kind = Kind.mapfold kind
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354
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355 fun sgi ctx si acc =
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356 S.bindP (sgi' ctx si acc, sgn_item ctx)
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357
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358 and sgi' ctx (siAll as (si, loc)) =
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359 case si of
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360 SgiConAbs (x, n, k) =>
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361 S.map2 (kind k,
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362 fn k' =>
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adamc@38
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363 (SgiConAbs (x, n, k'), loc))
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adamc@38
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364 | SgiCon (x, n, k, c) =>
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adamc@38
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365 S.bind2 (kind k,
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adamc@38
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366 fn k' =>
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adamc@38
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367 S.map2 (con ctx c,
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adamc@38
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368 fn c' =>
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adamc@38
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369 (SgiCon (x, n, k', c'), loc)))
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adamc@162
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370 | SgiDatatype (x, n, xncs) =>
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adamc@162
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371 S.map2 (ListUtil.mapfold (fn (x, n, c) =>
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adamc@162
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372 case c of
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adamc@162
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373 NONE => S.return2 (x, n, c)
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adamc@162
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374 | SOME c =>
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adamc@162
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375 S.map2 (con ctx c,
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adamc@162
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376 fn c' => (x, n, SOME c'))) xncs,
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adamc@162
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377 fn xncs' =>
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adamc@162
|
378 (SgiDatatype (x, n, xncs'), loc))
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adamc@162
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379 | SgiDatatypeImp (x, n, m1, ms, s, xncs) =>
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adamc@162
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380 S.map2 (ListUtil.mapfold (fn (x, n, c) =>
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adamc@162
|
381 case c of
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adamc@162
|
382 NONE => S.return2 (x, n, c)
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adamc@162
|
383 | SOME c =>
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adamc@162
|
384 S.map2 (con ctx c,
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adamc@162
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385 fn c' => (x, n, SOME c'))) xncs,
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adamc@162
|
386 fn xncs' =>
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adamc@162
|
387 (SgiDatatypeImp (x, n, m1, ms, s, xncs'), loc))
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adamc@38
|
388 | SgiVal (x, n, c) =>
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adamc@38
|
389 S.map2 (con ctx c,
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adamc@38
|
390 fn c' =>
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adamc@38
|
391 (SgiVal (x, n, c'), loc))
|
adamc@38
|
392 | SgiStr (x, n, s) =>
|
adamc@38
|
393 S.map2 (sg ctx s,
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adamc@38
|
394 fn s' =>
|
adamc@38
|
395 (SgiStr (x, n, s'), loc))
|
adamc@64
|
396 | SgiSgn (x, n, s) =>
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adamc@64
|
397 S.map2 (sg ctx s,
|
adamc@64
|
398 fn s' =>
|
adamc@64
|
399 (SgiSgn (x, n, s'), loc))
|
adamc@38
|
400
|
adamc@38
|
401 and sg ctx s acc =
|
adamc@38
|
402 S.bindP (sg' ctx s acc, sgn ctx)
|
adamc@38
|
403
|
adamc@38
|
404 and sg' ctx (sAll as (s, loc)) =
|
adamc@38
|
405 case s of
|
adamc@38
|
406 SgnConst sgis =>
|
adamc@38
|
407 S.map2 (ListUtil.mapfoldB (fn (ctx, si) =>
|
adamc@38
|
408 (case #1 si of
|
adamc@38
|
409 SgiConAbs (x, _, k) =>
|
adamc@38
|
410 bind (ctx, NamedC (x, k))
|
adamc@38
|
411 | SgiCon (x, _, k, _) =>
|
adamc@38
|
412 bind (ctx, NamedC (x, k))
|
adamc@162
|
413 | SgiDatatype (x, n, xncs) =>
|
adamc@162
|
414 bind (ctx, NamedC (x, (KType, loc)))
|
adamc@162
|
415 | SgiDatatypeImp (x, _, _, _, _, _) =>
|
adamc@162
|
416 bind (ctx, NamedC (x, (KType, loc)))
|
adamc@38
|
417 | SgiVal _ => ctx
|
adamc@38
|
418 | SgiStr (x, _, sgn) =>
|
adamc@64
|
419 bind (ctx, Str (x, sgn))
|
adamc@64
|
420 | SgiSgn (x, _, sgn) =>
|
adamc@64
|
421 bind (ctx, Sgn (x, sgn)),
|
adamc@38
|
422 sgi ctx si)) ctx sgis,
|
adamc@38
|
423 fn sgis' =>
|
adamc@38
|
424 (SgnConst sgis', loc))
|
adamc@38
|
425
|
adamc@38
|
426 | SgnVar _ => S.return2 sAll
|
adamc@45
|
427
|
adamc@45
|
428 | SgnFun (m, n, s1, s2) =>
|
adamc@45
|
429 S.bind2 (sg ctx s1,
|
adamc@45
|
430 fn s1' =>
|
adamc@45
|
431 S.map2 (sg (bind (ctx, Str (m, s1'))) s2,
|
adamc@45
|
432 fn s2' =>
|
adamc@45
|
433 (SgnFun (m, n, s1', s2'), loc)))
|
adamc@45
|
434 | SgnWhere (sgn, x, c) =>
|
adamc@45
|
435 S.bind2 (sg ctx sgn,
|
adamc@45
|
436 fn sgn' =>
|
adamc@45
|
437 S.map2 (con ctx c,
|
adamc@45
|
438 fn c' =>
|
adamc@45
|
439 (SgnWhere (sgn', x, c'), loc)))
|
adamc@64
|
440 | SgnProj _ => S.return2 sAll
|
adamc@38
|
441 in
|
adamc@38
|
442 sg
|
adamc@38
|
443 end
|
adamc@38
|
444
|
adamc@38
|
445 fun mapfold {kind, con, sgn_item, sgn} =
|
adamc@38
|
446 mapfoldB {kind = kind,
|
adamc@38
|
447 con = fn () => con,
|
adamc@38
|
448 sgn_item = fn () => sgn_item,
|
adamc@38
|
449 sgn = fn () => sgn,
|
adamc@38
|
450 bind = fn ((), _) => ()} ()
|
adamc@38
|
451
|
adamc@38
|
452 fun map {kind, con, sgn_item, sgn} s =
|
adamc@38
|
453 case mapfold {kind = fn k => fn () => S.Continue (kind k, ()),
|
adamc@38
|
454 con = fn c => fn () => S.Continue (con c, ()),
|
adamc@38
|
455 sgn_item = fn si => fn () => S.Continue (sgn_item si, ()),
|
adamc@38
|
456 sgn = fn s => fn () => S.Continue (sgn s, ())} s () of
|
adamc@38
|
457 S.Return () => raise Fail "Expl_util.Sgn.map"
|
adamc@38
|
458 | S.Continue (s, ()) => s
|
adamc@38
|
459
|
adamc@38
|
460 end
|
adamc@38
|
461
|
adamc@38
|
462 end
|