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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
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61 | KTuple ks =>
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62 S.map2 (ListUtil.mapfold mfk ks,
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63 fn ks' =>
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64 (KTuple ks', loc))
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65 in
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66 mfk
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67 end
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68
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69 fun exists f k =
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70 case mapfold (fn k => fn () =>
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71 if f k then
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72 S.Return ()
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73 else
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74 S.Continue (k, ())) k () of
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75 S.Return _ => true
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76 | S.Continue _ => false
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77
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78 end
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79
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80 structure Con = struct
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81
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82 datatype binder =
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83 Rel of string * Expl.kind
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84 | Named of string * Expl.kind
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85
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86 fun mapfoldB {kind = fk, con = fc, bind} =
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87 let
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88 val mfk = Kind.mapfold fk
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89
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90 fun mfc ctx c acc =
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91 S.bindP (mfc' ctx c acc, fc ctx)
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92
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93 and mfc' ctx (cAll as (c, loc)) =
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94 case c of
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95 TFun (c1, c2) =>
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96 S.bind2 (mfc ctx c1,
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97 fn c1' =>
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98 S.map2 (mfc ctx c2,
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99 fn c2' =>
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100 (TFun (c1', c2'), loc)))
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101 | TCFun (x, k, c) =>
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102 S.bind2 (mfk k,
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103 fn k' =>
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104 S.map2 (mfc (bind (ctx, Rel (x, k))) c,
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105 fn c' =>
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106 (TCFun (x, k', c'), loc)))
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107 | TRecord c =>
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108 S.map2 (mfc ctx c,
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109 fn c' =>
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110 (TRecord c', loc))
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111
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112 | CRel _ => S.return2 cAll
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113 | CNamed _ => S.return2 cAll
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114 | CModProj _ => S.return2 cAll
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115 | CApp (c1, c2) =>
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116 S.bind2 (mfc ctx c1,
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117 fn c1' =>
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118 S.map2 (mfc ctx c2,
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119 fn c2' =>
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120 (CApp (c1', c2'), loc)))
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121 | CAbs (x, k, c) =>
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122 S.bind2 (mfk k,
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123 fn k' =>
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124 S.map2 (mfc (bind (ctx, Rel (x, k))) c,
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125 fn c' =>
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126 (CAbs (x, k', c'), loc)))
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127
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128 | CName _ => S.return2 cAll
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129
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130 | CRecord (k, xcs) =>
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131 S.bind2 (mfk k,
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132 fn k' =>
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133 S.map2 (ListUtil.mapfold (fn (x, c) =>
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134 S.bind2 (mfc ctx x,
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135 fn x' =>
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136 S.map2 (mfc ctx c,
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137 fn c' =>
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138 (x', c'))))
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139 xcs,
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140 fn xcs' =>
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141 (CRecord (k', xcs'), loc)))
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142 | CConcat (c1, c2) =>
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143 S.bind2 (mfc ctx c1,
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144 fn c1' =>
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145 S.map2 (mfc ctx c2,
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146 fn c2' =>
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147 (CConcat (c1', c2'), loc)))
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148 | CFold (k1, k2) =>
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149 S.bind2 (mfk k1,
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150 fn k1' =>
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151 S.map2 (mfk k2,
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152 fn k2' =>
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153 (CFold (k1', k2'), loc)))
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154
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155 | CUnit => S.return2 cAll
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156
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157 | CTuple cs =>
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158 S.map2 (ListUtil.mapfold (mfc ctx) cs,
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159 fn cs' =>
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160 (CTuple cs', loc))
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161
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162 | CProj (c, n) =>
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163 S.map2 (mfc ctx c,
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164 fn c' =>
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165 (CProj (c', n), loc))
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166 in
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167 mfc
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168 end
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169
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170 fun mapfold {kind = fk, con = fc} =
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171 mapfoldB {kind = fk,
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172 con = fn () => fc,
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173 bind = fn ((), _) => ()} ()
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174
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175 fun mapB {kind, con, bind} ctx c =
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176 case mapfoldB {kind = fn k => fn () => S.Continue (kind k, ()),
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177 con = fn ctx => fn c => fn () => S.Continue (con ctx c, ()),
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178 bind = bind} ctx c () of
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179 S.Continue (c, ()) => c
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180 | S.Return _ => raise Fail "ExplUtil.Con.mapB: Impossible"
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181
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182 fun map {kind, con} s =
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183 case mapfold {kind = fn k => fn () => S.Continue (kind k, ()),
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184 con = fn c => fn () => S.Continue (con c, ())} s () of
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185 S.Return () => raise Fail "ExplUtil.Con.map: Impossible"
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186 | S.Continue (s, ()) => s
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187
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188 fun exists {kind, con} k =
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189 case mapfold {kind = fn k => fn () =>
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190 if kind k then
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191 S.Return ()
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192 else
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193 S.Continue (k, ()),
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194 con = fn c => fn () =>
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195 if con c then
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196 S.Return ()
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197 else
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198 S.Continue (c, ())} k () of
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199 S.Return _ => true
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200 | S.Continue _ => false
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201
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202 end
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203
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204 structure Exp = struct
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205
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206 datatype binder =
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207 RelC of string * Expl.kind
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208 | NamedC of string * Expl.kind
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209 | RelE of string * Expl.con
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210 | NamedE of string * Expl.con
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211
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212 fun mapfoldB {kind = fk, con = fc, exp = fe, bind} =
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213 let
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214 val mfk = Kind.mapfold fk
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215
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216 fun bind' (ctx, b) =
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217 let
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218 val b' = case b of
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219 Con.Rel x => RelC x
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220 | Con.Named x => NamedC x
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221 in
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222 bind (ctx, b')
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223 end
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224 val mfc = Con.mapfoldB {kind = fk, con = fc, bind = bind'}
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225
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226 fun mfe ctx e acc =
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227 S.bindP (mfe' ctx e acc, fe ctx)
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228
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229 and mfe' ctx (eAll as (e, loc)) =
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230 case e of
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231 EPrim _ => S.return2 eAll
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232 | ERel _ => S.return2 eAll
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233 | ENamed _ => S.return2 eAll
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234 | EModProj _ => S.return2 eAll
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235 | EApp (e1, e2) =>
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236 S.bind2 (mfe ctx e1,
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237 fn e1' =>
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238 S.map2 (mfe ctx e2,
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239 fn e2' =>
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240 (EApp (e1', e2'), loc)))
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241 | EAbs (x, dom, ran, e) =>
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242 S.bind2 (mfc ctx dom,
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243 fn dom' =>
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244 S.bind2 (mfc ctx ran,
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245 fn ran' =>
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246 S.map2 (mfe (bind (ctx, RelE (x, dom'))) e,
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247 fn e' =>
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248 (EAbs (x, dom', ran', e'), loc))))
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249
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250 | ECApp (e, c) =>
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251 S.bind2 (mfe ctx e,
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252 fn e' =>
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253 S.map2 (mfc ctx c,
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254 fn c' =>
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255 (ECApp (e', c'), loc)))
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256 | ECAbs (x, k, e) =>
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257 S.bind2 (mfk k,
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258 fn k' =>
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259 S.map2 (mfe (bind (ctx, RelC (x, k))) e,
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260 fn e' =>
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261 (ECAbs (x, k', e'), loc)))
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262
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263 | ERecord xes =>
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264 S.map2 (ListUtil.mapfold (fn (x, e, t) =>
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265 S.bind2 (mfc ctx x,
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266 fn x' =>
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267 S.bind2 (mfe ctx e,
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268 fn e' =>
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269 S.map2 (mfc ctx t,
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270 fn t' =>
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271 (x', e', t')))))
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272 xes,
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273 fn xes' =>
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274 (ERecord xes', loc))
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275 | EField (e, c, {field, rest}) =>
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276 S.bind2 (mfe ctx e,
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277 fn e' =>
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278 S.bind2 (mfc ctx c,
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279 fn c' =>
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280 S.bind2 (mfc ctx field,
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281 fn field' =>
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282 S.map2 (mfc ctx rest,
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283 fn rest' =>
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284 (EField (e', c', {field = field', rest = rest'}), loc)))))
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285 | EConcat (e1, c1, e2, c2) =>
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286 S.bind2 (mfe ctx e1,
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287 fn e1' =>
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288 S.bind2 (mfc ctx c1,
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289 fn c1' =>
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290 S.bind2 (mfe ctx e2,
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291 fn e2' =>
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292 S.map2 (mfc ctx c2,
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293 fn c2' =>
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294 (EConcat (e1', c1', e2', c2'),
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295 loc)))))
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296 | ECut (e, c, {field, rest}) =>
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297 S.bind2 (mfe ctx e,
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298 fn e' =>
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299 S.bind2 (mfc ctx c,
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300 fn c' =>
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301 S.bind2 (mfc ctx field,
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302 fn field' =>
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303 S.map2 (mfc ctx rest,
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304 fn rest' =>
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305 (ECut (e', c', {field = field', rest = rest'}), loc)))))
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306 | EFold k =>
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307 S.map2 (mfk k,
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308 fn k' =>
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309 (EFold k', loc))
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310
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311 | EWrite e =>
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312 S.map2 (mfe ctx e,
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313 fn e' =>
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314 (EWrite e', loc))
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315
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316 | ECase (e, pes, {disc, result}) =>
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317 S.bind2 (mfe ctx e,
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318 fn e' =>
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319 S.bind2 (ListUtil.mapfold (fn (p, e) =>
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320 S.map2 (mfe ctx e,
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321 fn e' => (p, e'))) pes,
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322 fn pes' =>
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323 S.bind2 (mfc ctx disc,
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324 fn disc' =>
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325 S.map2 (mfc ctx result,
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326 fn result' =>
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327 (ECase (e', pes', {disc = disc', result = result'}), loc)))))
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328
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329 | ELet (x, t, e1, e2) =>
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330 S.bind2 (mfc ctx t,
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331 fn t' =>
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332 S.bind2 (mfe ctx e1,
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333 fn e1' =>
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334 S.map2 (mfe (bind (ctx, RelE (x, t))) e2,
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335 fn e2' =>
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336 (ELet (x, t', e1', e2'), loc))))
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337 in
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338 mfe
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339 end
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340
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341 fun mapfold {kind = fk, con = fc, exp = fe} =
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342 mapfoldB {kind = fk,
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343 con = fn () => fc,
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344 exp = fn () => fe,
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345 bind = fn ((), _) => ()} ()
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346
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347 fun exists {kind, con, exp} k =
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348 case mapfold {kind = fn k => fn () =>
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349 if kind k then
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350 S.Return ()
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351 else
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352 S.Continue (k, ()),
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353 con = fn c => fn () =>
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354 if con c then
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355 S.Return ()
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356 else
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357 S.Continue (c, ()),
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358 exp = fn e => fn () =>
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359 if exp e then
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360 S.Return ()
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adamc@38
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361 else
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adamc@38
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362 S.Continue (e, ())} k () of
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adamc@38
|
363 S.Return _ => true
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adamc@38
|
364 | S.Continue _ => false
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adamc@38
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365
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adamc@38
|
366 end
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adamc@38
|
367
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adamc@38
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368 structure Sgn = struct
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adamc@38
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369
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adamc@38
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370 datatype binder =
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adamc@38
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371 RelC of string * Expl.kind
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adamc@38
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372 | NamedC of string * Expl.kind
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adamc@38
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373 | Str of string * Expl.sgn
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adamc@64
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374 | Sgn of string * Expl.sgn
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adamc@38
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375
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adamc@38
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376 fun mapfoldB {kind, con, sgn_item, sgn, bind} =
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adamc@38
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377 let
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adamc@38
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378 fun bind' (ctx, b) =
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adamc@38
|
379 let
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adamc@38
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380 val b' = case b of
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adamc@38
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381 Con.Rel x => RelC x
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adamc@38
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382 | Con.Named x => NamedC x
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adamc@38
|
383 in
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adamc@38
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384 bind (ctx, b')
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adamc@38
|
385 end
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adamc@38
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386 val con = Con.mapfoldB {kind = kind, con = con, bind = bind'}
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adamc@38
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387
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adamc@38
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388 val kind = Kind.mapfold kind
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adamc@38
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389
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adamc@38
|
390 fun sgi ctx si acc =
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adamc@38
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391 S.bindP (sgi' ctx si acc, sgn_item ctx)
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adamc@38
|
392
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adamc@162
|
393 and sgi' ctx (siAll as (si, loc)) =
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adamc@38
|
394 case si of
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adamc@38
|
395 SgiConAbs (x, n, k) =>
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adamc@38
|
396 S.map2 (kind k,
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adamc@38
|
397 fn k' =>
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adamc@38
|
398 (SgiConAbs (x, n, k'), loc))
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adamc@38
|
399 | SgiCon (x, n, k, c) =>
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adamc@38
|
400 S.bind2 (kind k,
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adamc@38
|
401 fn k' =>
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adamc@38
|
402 S.map2 (con ctx c,
|
adamc@38
|
403 fn c' =>
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adamc@38
|
404 (SgiCon (x, n, k', c'), loc)))
|
adamc@191
|
405 | SgiDatatype (x, n, xs, xncs) =>
|
adamc@162
|
406 S.map2 (ListUtil.mapfold (fn (x, n, c) =>
|
adamc@162
|
407 case c of
|
adamc@162
|
408 NONE => S.return2 (x, n, c)
|
adamc@162
|
409 | SOME c =>
|
adamc@162
|
410 S.map2 (con ctx c,
|
adamc@162
|
411 fn c' => (x, n, SOME c'))) xncs,
|
adamc@162
|
412 fn xncs' =>
|
adamc@191
|
413 (SgiDatatype (x, n, xs, xncs'), loc))
|
adamc@191
|
414 | SgiDatatypeImp (x, n, m1, ms, s, xs, xncs) =>
|
adamc@162
|
415 S.map2 (ListUtil.mapfold (fn (x, n, c) =>
|
adamc@162
|
416 case c of
|
adamc@162
|
417 NONE => S.return2 (x, n, c)
|
adamc@162
|
418 | SOME c =>
|
adamc@162
|
419 S.map2 (con ctx c,
|
adamc@162
|
420 fn c' => (x, n, SOME c'))) xncs,
|
adamc@162
|
421 fn xncs' =>
|
adamc@191
|
422 (SgiDatatypeImp (x, n, m1, ms, s, xs, xncs'), loc))
|
adamc@38
|
423 | SgiVal (x, n, c) =>
|
adamc@38
|
424 S.map2 (con ctx c,
|
adamc@38
|
425 fn c' =>
|
adamc@38
|
426 (SgiVal (x, n, c'), loc))
|
adamc@38
|
427 | SgiStr (x, n, s) =>
|
adamc@38
|
428 S.map2 (sg ctx s,
|
adamc@38
|
429 fn s' =>
|
adamc@38
|
430 (SgiStr (x, n, s'), loc))
|
adamc@64
|
431 | SgiSgn (x, n, s) =>
|
adamc@64
|
432 S.map2 (sg ctx s,
|
adamc@64
|
433 fn s' =>
|
adamc@64
|
434 (SgiSgn (x, n, s'), loc))
|
adamc@38
|
435
|
adamc@38
|
436 and sg ctx s acc =
|
adamc@38
|
437 S.bindP (sg' ctx s acc, sgn ctx)
|
adamc@38
|
438
|
adamc@38
|
439 and sg' ctx (sAll as (s, loc)) =
|
adamc@38
|
440 case s of
|
adamc@38
|
441 SgnConst sgis =>
|
adamc@38
|
442 S.map2 (ListUtil.mapfoldB (fn (ctx, si) =>
|
adamc@38
|
443 (case #1 si of
|
adamc@38
|
444 SgiConAbs (x, _, k) =>
|
adamc@38
|
445 bind (ctx, NamedC (x, k))
|
adamc@38
|
446 | SgiCon (x, _, k, _) =>
|
adamc@38
|
447 bind (ctx, NamedC (x, k))
|
adamc@191
|
448 | SgiDatatype (x, n, _, xncs) =>
|
adamc@162
|
449 bind (ctx, NamedC (x, (KType, loc)))
|
adamc@191
|
450 | SgiDatatypeImp (x, _, _, _, _, _, _) =>
|
adamc@162
|
451 bind (ctx, NamedC (x, (KType, loc)))
|
adamc@38
|
452 | SgiVal _ => ctx
|
adamc@38
|
453 | SgiStr (x, _, sgn) =>
|
adamc@64
|
454 bind (ctx, Str (x, sgn))
|
adamc@64
|
455 | SgiSgn (x, _, sgn) =>
|
adamc@460
|
456 bind (ctx, Sgn (x, sgn)),
|
adamc@38
|
457 sgi ctx si)) ctx sgis,
|
adamc@38
|
458 fn sgis' =>
|
adamc@38
|
459 (SgnConst sgis', loc))
|
adamc@38
|
460
|
adamc@38
|
461 | SgnVar _ => S.return2 sAll
|
adamc@45
|
462
|
adamc@45
|
463 | SgnFun (m, n, s1, s2) =>
|
adamc@45
|
464 S.bind2 (sg ctx s1,
|
adamc@45
|
465 fn s1' =>
|
adamc@45
|
466 S.map2 (sg (bind (ctx, Str (m, s1'))) s2,
|
adamc@45
|
467 fn s2' =>
|
adamc@45
|
468 (SgnFun (m, n, s1', s2'), loc)))
|
adamc@45
|
469 | SgnWhere (sgn, x, c) =>
|
adamc@45
|
470 S.bind2 (sg ctx sgn,
|
adamc@45
|
471 fn sgn' =>
|
adamc@45
|
472 S.map2 (con ctx c,
|
adamc@45
|
473 fn c' =>
|
adamc@45
|
474 (SgnWhere (sgn', x, c'), loc)))
|
adamc@64
|
475 | SgnProj _ => S.return2 sAll
|
adamc@38
|
476 in
|
adamc@38
|
477 sg
|
adamc@38
|
478 end
|
adamc@38
|
479
|
adamc@38
|
480 fun mapfold {kind, con, sgn_item, sgn} =
|
adamc@38
|
481 mapfoldB {kind = kind,
|
adamc@38
|
482 con = fn () => con,
|
adamc@38
|
483 sgn_item = fn () => sgn_item,
|
adamc@38
|
484 sgn = fn () => sgn,
|
adamc@38
|
485 bind = fn ((), _) => ()} ()
|
adamc@38
|
486
|
adamc@38
|
487 fun map {kind, con, sgn_item, sgn} s =
|
adamc@38
|
488 case mapfold {kind = fn k => fn () => S.Continue (kind k, ()),
|
adamc@38
|
489 con = fn c => fn () => S.Continue (con c, ()),
|
adamc@38
|
490 sgn_item = fn si => fn () => S.Continue (sgn_item si, ()),
|
adamc@38
|
491 sgn = fn s => fn () => S.Continue (sgn s, ())} s () of
|
adamc@38
|
492 S.Return () => raise Fail "Expl_util.Sgn.map"
|
adamc@38
|
493 | S.Continue (s, ()) => s
|
adamc@38
|
494
|
adamc@38
|
495 end
|
adamc@38
|
496
|
adamc@38
|
497 end
|