adamc@2
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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 Elaborate :> ELABORATE = struct
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29
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30 structure P = Prim
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31 structure L = Source
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32 structure L' = Elab
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33 structure E = ElabEnv
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34 structure U = ElabUtil
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35
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36 open Print
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37 open ElabPrint
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38
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39 fun elabExplicitness e =
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40 case e of
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41 L.Explicit => L'.Explicit
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42 | L.Implicit => L'.Implicit
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43
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44 fun occursKind r =
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45 U.Kind.exists (fn L'.KUnif (_, r') => r = r'
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46 | _ => false)
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47
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48 datatype kunify_error =
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49 KOccursCheckFailed of L'.kind * L'.kind
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50 | KIncompatible of L'.kind * L'.kind
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51
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52 exception KUnify' of kunify_error
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53
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54 fun kunifyError err =
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55 case err of
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56 KOccursCheckFailed (k1, k2) =>
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57 eprefaces "Kind occurs check failed"
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58 [("Kind 1", p_kind k1),
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59 ("Kind 2", p_kind k2)]
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60 | KIncompatible (k1, k2) =>
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61 eprefaces "Incompatible kinds"
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62 [("Kind 1", p_kind k1),
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63 ("Kind 2", p_kind k2)]
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64
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65 fun unifyKinds' (k1All as (k1, _)) (k2All as (k2, _)) =
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66 let
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67 fun err f = raise KUnify' (f (k1All, k2All))
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68 in
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69 case (k1, k2) of
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70 (L'.KType, L'.KType) => ()
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71 | (L'.KArrow (d1, r1), L'.KArrow (d2, r2)) =>
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72 (unifyKinds' d1 d2;
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73 unifyKinds' r1 r2)
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74 | (L'.KName, L'.KName) => ()
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75 | (L'.KRecord k1, L'.KRecord k2) => unifyKinds' k1 k2
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76
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77 | (L'.KError, _) => ()
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78 | (_, L'.KError) => ()
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79
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80 | (L'.KUnif (_, ref (SOME k1All)), _) => unifyKinds' k1All k2All
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81 | (_, L'.KUnif (_, ref (SOME k2All))) => unifyKinds' k1All k2All
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82
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83 | (L'.KUnif (_, r1), L'.KUnif (_, r2)) =>
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84 if r1 = r2 then
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85 ()
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86 else
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87 r1 := SOME k2All
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88
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89 | (L'.KUnif (_, r), _) =>
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90 if occursKind r k2All then
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91 err KOccursCheckFailed
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92 else
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93 r := SOME k2All
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94 | (_, L'.KUnif (_, r)) =>
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95 if occursKind r k1All then
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96 err KOccursCheckFailed
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97 else
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98 r := SOME k1All
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99
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100 | _ => err KIncompatible
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101 end
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102
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103 exception KUnify of L'.kind * L'.kind * kunify_error
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104
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105 fun unifyKinds k1 k2 =
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106 unifyKinds' k1 k2
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107 handle KUnify' err => raise KUnify (k1, k2, err)
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108
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109 datatype con_error =
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110 UnboundCon of ErrorMsg.span * string
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111 | WrongKind of L'.con * L'.kind * L'.kind * kunify_error
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112
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113 fun conError env err =
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114 case err of
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115 UnboundCon (loc, s) =>
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116 ErrorMsg.errorAt loc ("Unbound constructor variable " ^ s)
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117 | WrongKind (c, k1, k2, kerr) =>
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118 (ErrorMsg.errorAt (#2 c) "Wrong kind";
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119 eprefaces' [("Constructor", p_con env c),
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120 ("Have kind", p_kind k1),
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121 ("Need kind", p_kind k2)];
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122 kunifyError kerr)
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123
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124 fun checkKind env c k1 k2 =
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125 unifyKinds k1 k2
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126 handle KUnify (k1, k2, err) =>
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127 conError env (WrongKind (c, k1, k2, err))
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128
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129 val dummy = ErrorMsg.dummySpan
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130
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131 val ktype = (L'.KType, dummy)
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132 val kname = (L'.KName, dummy)
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133 val ktype_record = (L'.KRecord ktype, dummy)
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134
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135 val cerror = (L'.CError, dummy)
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136 val kerror = (L'.KError, dummy)
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137 val eerror = (L'.EError, dummy)
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138
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139 local
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140 val count = ref 0
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141 in
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142
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143 fun resetKunif () = count := 0
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144
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145 fun kunif () =
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146 let
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147 val n = !count
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148 val s = if n <= 26 then
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149 str (chr (ord #"A" + n))
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150 else
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151 "U" ^ Int.toString (n - 26)
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152 in
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153 count := n + 1;
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154 (L'.KUnif (s, ref NONE), dummy)
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155 end
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156
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157 end
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158
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159 local
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160 val count = ref 0
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161 in
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162
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163 fun resetCunif () = count := 0
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164
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165 fun cunif k =
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166 let
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167 val n = !count
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168 val s = if n <= 26 then
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169 str (chr (ord #"A" + n))
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170 else
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171 "U" ^ Int.toString (n - 26)
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172 in
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173 count := n + 1;
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174 (L'.CUnif (k, s, ref NONE), dummy)
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175 end
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176
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177 end
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178
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179 fun elabKind (k, loc) =
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180 case k of
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181 L.KType => (L'.KType, loc)
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182 | L.KArrow (k1, k2) => (L'.KArrow (elabKind k1, elabKind k2), loc)
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183 | L.KName => (L'.KName, loc)
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184 | L.KRecord k => (L'.KRecord (elabKind k), loc)
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185 | L.KWild => kunif ()
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186
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187 fun elabCon env (c, loc) =
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188 case c of
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189 L.CAnnot (c, k) =>
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190 let
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191 val k' = elabKind k
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192 val (c', ck) = elabCon env c
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193 in
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194 checkKind env c' ck k';
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195 (c', k')
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196 end
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197
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198 | L.TFun (t1, t2) =>
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199 let
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200 val (t1', k1) = elabCon env t1
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201 val (t2', k2) = elabCon env t2
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202 in
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203 checkKind env t1' k1 ktype;
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204 checkKind env t2' k2 ktype;
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205 ((L'.TFun (t1', t2'), loc), ktype)
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206 end
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207 | L.TCFun (e, x, k, t) =>
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208 let
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209 val e' = elabExplicitness e
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210 val k' = elabKind k
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211 val env' = E.pushCRel env x k'
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212 val (t', tk) = elabCon env' t
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213 in
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214 checkKind env t' tk ktype;
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215 ((L'.TCFun (e', x, k', t'), loc), ktype)
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216 end
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217 | L.TRecord c =>
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218 let
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219 val (c', ck) = elabCon env c
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220 val k = (L'.KRecord ktype, loc)
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221 in
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222 checkKind env c' ck k;
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223 ((L'.TRecord c', loc), ktype)
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224 end
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225
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226 | L.CVar s =>
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227 (case E.lookupC env s of
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228 E.NotBound =>
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229 (conError env (UnboundCon (loc, s));
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230 (cerror, kerror))
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231 | E.Rel (n, k) =>
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232 ((L'.CRel n, loc), k)
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233 | E.Named (n, k) =>
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234 ((L'.CNamed n, loc), k))
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235 | L.CApp (c1, c2) =>
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236 let
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237 val (c1', k1) = elabCon env c1
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238 val (c2', k2) = elabCon env c2
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239 val dom = kunif ()
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240 val ran = kunif ()
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241 in
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242 checkKind env c1' k1 (L'.KArrow (dom, ran), loc);
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243 checkKind env c2' k2 dom;
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244 ((L'.CApp (c1', c2'), loc), ran)
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245 end
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246 | L.CAbs (x, k, t) =>
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247 let
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248 val k' = elabKind k
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249 val env' = E.pushCRel env x k'
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250 val (t', tk) = elabCon env' t
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251 in
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252 ((L'.CAbs (x, k', t'), loc),
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253 (L'.KArrow (k', tk), loc))
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254 end
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255
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256 | L.CName s =>
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257 ((L'.CName s, loc), kname)
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258
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259 | L.CRecord xcs =>
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260 let
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261 val k = kunif ()
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262
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263 val xcs' = map (fn (x, c) =>
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264 let
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265 val (x', xk) = elabCon env x
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266 val (c', ck) = elabCon env c
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267 in
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268 checkKind env x' xk kname;
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269 checkKind env c' ck k;
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270 (x', c')
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271 end) xcs
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272 in
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273 ((L'.CRecord (k, xcs'), loc), (L'.KRecord k, loc))
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274 end
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275 | L.CConcat (c1, c2) =>
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276 let
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277 val (c1', k1) = elabCon env c1
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278 val (c2', k2) = elabCon env c2
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279 val ku = kunif ()
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280 val k = (L'.KRecord ku, loc)
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281 in
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282 checkKind env c1' k1 k;
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283 checkKind env c2' k2 k;
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284 ((L'.CConcat (c1', c2'), loc), k)
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285 end
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286
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287 | L.CWild k =>
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288 let
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289 val k' = elabKind k
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290 in
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291 (cunif k', k')
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292 end
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293
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294 fun kunifsRemain k =
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295 case k of
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296 L'.KUnif (_, ref NONE) => true
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297 | _ => false
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298 fun cunifsRemain c =
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299 case c of
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300 L'.CUnif (_, _, ref NONE) => true
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301 | _ => false
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302
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303 val kunifsInKind = U.Kind.exists kunifsRemain
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304 val kunifsInCon = U.Con.exists {kind = kunifsRemain,
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305 con = fn _ => false}
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306 val kunifsInExp = U.Exp.exists {kind = kunifsRemain,
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307 con = fn _ => false,
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308 exp = fn _ => false}
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309
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310 val cunifsInCon = U.Con.exists {kind = fn _ => false,
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311 con = cunifsRemain}
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312 val cunifsInExp = U.Exp.exists {kind = fn _ => false,
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313 con = cunifsRemain,
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314 exp = fn _ => false}
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315
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316 fun occursCon r =
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317 U.Con.exists {kind = fn _ => false,
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318 con = fn L'.CUnif (_, _, r') => r = r'
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319 | _ => false}
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320
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321 datatype cunify_error =
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322 CKind of L'.kind * L'.kind * kunify_error
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323 | COccursCheckFailed of L'.con * L'.con
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324 | CIncompatible of L'.con * L'.con
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325 | CExplicitness of L'.con * L'.con
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326 | CKindof of L'.con
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327 | CRecordFailure
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328
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329 exception CUnify' of cunify_error
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330
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331 fun cunifyError env err =
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332 case err of
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333 CKind (k1, k2, kerr) =>
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334 (eprefaces "Kind unification failure"
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335 [("Kind 1", p_kind k1),
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336 ("Kind 2", p_kind k2)];
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337 kunifyError kerr)
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338 | COccursCheckFailed (c1, c2) =>
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339 eprefaces "Constructor occurs check failed"
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340 [("Con 1", p_con env c1),
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341 ("Con 2", p_con env c2)]
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342 | CIncompatible (c1, c2) =>
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343 eprefaces "Incompatible constructors"
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344 [("Con 1", p_con env c1),
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345 ("Con 2", p_con env c2)]
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346 | CExplicitness (c1, c2) =>
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347 eprefaces "Differing constructor function explicitness"
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348 [("Con 1", p_con env c1),
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349 ("Con 2", p_con env c2)]
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350 | CKindof c =>
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351 eprefaces "Kind unification variable blocks kindof calculation"
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352 [("Con", p_con env c)]
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353 | CRecordFailure =>
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adamc@12
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354 eprefaces "Can't unify record constructors" []
|
adamc@10
|
355
|
adamc@13
|
356 exception SynUnif = E.SynUnif
|
adamc@13
|
357 val liftConInCon = E.liftConInCon
|
adamc@12
|
358
|
adamc@12
|
359 val subConInCon =
|
adamc@12
|
360 U.Con.mapB {kind = fn k => k,
|
adamc@12
|
361 con = fn (xn, rep) => fn c =>
|
adamc@12
|
362 case c of
|
adamc@12
|
363 L'.CRel xn' =>
|
adamc@12
|
364 if xn = xn' then
|
adamc@12
|
365 #1 rep
|
adamc@12
|
366 else
|
adamc@12
|
367 c
|
adamc@17
|
368 (*| L'.CUnif _ => raise SynUnif*)
|
adamc@12
|
369 | _ => c,
|
adamc@12
|
370 bind = fn ((xn, rep), U.Con.Rel _) => (xn+1, liftConInCon 0 rep)
|
adamc@12
|
371 | (ctx, _) => ctx}
|
adamc@12
|
372
|
adamc@12
|
373 type record_summary = {
|
adamc@12
|
374 fields : (L'.con * L'.con) list,
|
adamc@12
|
375 unifs : (L'.con * L'.con option ref) list,
|
adamc@12
|
376 others : L'.con list
|
adamc@12
|
377 }
|
adamc@12
|
378
|
adamc@12
|
379 fun summaryToCon {fields, unifs, others} =
|
adamc@12
|
380 let
|
adamc@12
|
381 val c = (L'.CRecord (ktype, []), dummy)
|
adamc@12
|
382 val c = List.foldr (fn (c', c) => (L'.CConcat (c', c), dummy)) c others
|
adamc@12
|
383 val c = List.foldr (fn ((c', _), c) => (L'.CConcat (c', c), dummy)) c unifs
|
adamc@12
|
384 in
|
adamc@12
|
385 (L'.CConcat ((L'.CRecord (ktype, fields), dummy), c), dummy)
|
adamc@12
|
386 end
|
adamc@12
|
387
|
adamc@12
|
388 fun p_summary env s = p_con env (summaryToCon s)
|
adamc@12
|
389
|
adamc@12
|
390 exception CUnify of L'.con * L'.con * cunify_error
|
adamc@12
|
391
|
adamc@12
|
392 fun hnormKind (kAll as (k, _)) =
|
adamc@12
|
393 case k of
|
adamc@12
|
394 L'.KUnif (_, ref (SOME k)) => hnormKind k
|
adamc@12
|
395 | _ => kAll
|
adamc@12
|
396
|
adamc@12
|
397 fun kindof env (c, loc) =
|
adamc@12
|
398 case c of
|
adamc@12
|
399 L'.TFun _ => ktype
|
adamc@12
|
400 | L'.TCFun _ => ktype
|
adamc@12
|
401 | L'.TRecord _ => ktype
|
adamc@12
|
402
|
adamc@12
|
403 | L'.CRel xn => #2 (E.lookupCRel env xn)
|
adamc@12
|
404 | L'.CNamed xn => #2 (E.lookupCNamed env xn)
|
adamc@12
|
405 | L'.CApp (c, _) =>
|
adamc@12
|
406 (case #1 (hnormKind (kindof env c)) of
|
adamc@12
|
407 L'.KArrow (_, k) => k
|
adamc@12
|
408 | L'.KError => kerror
|
adamc@12
|
409 | _ => raise CUnify' (CKindof c))
|
adamc@12
|
410 | L'.CAbs (x, k, c) => (L'.KArrow (k, kindof (E.pushCRel env x k) c), loc)
|
adamc@12
|
411
|
adamc@12
|
412 | L'.CName _ => kname
|
adamc@12
|
413
|
adamc@12
|
414 | L'.CRecord (k, _) => (L'.KRecord k, loc)
|
adamc@12
|
415 | L'.CConcat (c, _) => kindof env c
|
adamc@12
|
416
|
adamc@12
|
417 | L'.CError => kerror
|
adamc@12
|
418 | L'.CUnif (k, _, _) => k
|
adamc@12
|
419
|
adamc@12
|
420 fun unifyRecordCons env (c1, c2) =
|
adamc@12
|
421 let
|
adamc@12
|
422 val k1 = kindof env c1
|
adamc@12
|
423 val k2 = kindof env c2
|
adamc@12
|
424 in
|
adamc@12
|
425 unifyKinds k1 k2;
|
adamc@12
|
426 unifySummaries env (k1, recordSummary env c1, recordSummary env c2)
|
adamc@12
|
427 end
|
adamc@12
|
428
|
adamc@12
|
429 and recordSummary env c : record_summary =
|
adamc@12
|
430 case hnormCon env c of
|
adamc@12
|
431 (L'.CRecord (_, xcs), _) => {fields = xcs, unifs = [], others = []}
|
adamc@12
|
432 | (L'.CConcat (c1, c2), _) =>
|
adamc@12
|
433 let
|
adamc@12
|
434 val s1 = recordSummary env c1
|
adamc@12
|
435 val s2 = recordSummary env c2
|
adamc@12
|
436 in
|
adamc@12
|
437 {fields = #fields s1 @ #fields s2,
|
adamc@12
|
438 unifs = #unifs s1 @ #unifs s2,
|
adamc@12
|
439 others = #others s1 @ #others s2}
|
adamc@12
|
440 end
|
adamc@12
|
441 | (L'.CUnif (_, _, ref (SOME c)), _) => recordSummary env c
|
adamc@12
|
442 | c' as (L'.CUnif (_, _, r), _) => {fields = [], unifs = [(c', r)], others = []}
|
adamc@12
|
443 | c' => {fields = [], unifs = [], others = [c']}
|
adamc@12
|
444
|
adamc@12
|
445 and consEq env (c1, c2) =
|
adamc@12
|
446 (unifyCons env c1 c2;
|
adamc@12
|
447 true)
|
adamc@12
|
448 handle CUnify _ => false
|
adamc@12
|
449
|
adamc@12
|
450 and unifySummaries env (k, s1 : record_summary, s2 : record_summary) =
|
adamc@12
|
451 let
|
adamc@14
|
452 (*val () = eprefaces "Summaries" [("#1", p_summary env s1),
|
adamc@14
|
453 ("#2", p_summary env s2)]*)
|
adamc@12
|
454
|
adamc@12
|
455 fun eatMatching p (ls1, ls2) =
|
adamc@12
|
456 let
|
adamc@12
|
457 fun em (ls1, ls2, passed1) =
|
adamc@12
|
458 case ls1 of
|
adamc@12
|
459 [] => (rev passed1, ls2)
|
adamc@12
|
460 | h1 :: t1 =>
|
adamc@12
|
461 let
|
adamc@12
|
462 fun search (ls2', passed2) =
|
adamc@12
|
463 case ls2' of
|
adamc@12
|
464 [] => em (t1, ls2, h1 :: passed1)
|
adamc@12
|
465 | h2 :: t2 =>
|
adamc@12
|
466 if p (h1, h2) then
|
adamc@12
|
467 em (t1, List.revAppend (passed2, t2), passed1)
|
adamc@12
|
468 else
|
adamc@12
|
469 search (t2, h2 :: passed2)
|
adamc@12
|
470 in
|
adamc@12
|
471 search (ls2, [])
|
adamc@12
|
472 end
|
adamc@12
|
473 in
|
adamc@12
|
474 em (ls1, ls2, [])
|
adamc@12
|
475 end
|
adamc@12
|
476
|
adamc@12
|
477 val (fs1, fs2) = eatMatching (fn ((x1, c1), (x2, c2)) =>
|
adamc@12
|
478 if consEq env (x1, x2) then
|
adamc@12
|
479 (unifyCons env c1 c2;
|
adamc@12
|
480 true)
|
adamc@12
|
481 else
|
adamc@12
|
482 false) (#fields s1, #fields s2)
|
adamc@14
|
483 (*val () = eprefaces "Summaries2" [("#1", p_summary env {fields = fs1, unifs = #unifs s1, others = #others s1}),
|
adamc@14
|
484 ("#2", p_summary env {fields = fs2, unifs = #unifs s2, others = #others s2})]*)
|
adamc@12
|
485 val (unifs1, unifs2) = eatMatching (fn ((_, r1), (_, r2)) => r1 = r2) (#unifs s1, #unifs s2)
|
adamc@12
|
486 val (others1, others2) = eatMatching (consEq env) (#others s1, #others s2)
|
adamc@12
|
487
|
adamc@12
|
488 fun unifFields (fs, others, unifs) =
|
adamc@12
|
489 case (fs, others, unifs) of
|
adamc@12
|
490 ([], [], _) => ([], [], unifs)
|
adamc@12
|
491 | (_, _, []) => (fs, others, [])
|
adamc@12
|
492 | (_, _, (_, r) :: rest) =>
|
adamc@12
|
493 let
|
adamc@12
|
494 val r' = ref NONE
|
adamc@12
|
495 val cr' = (L'.CUnif (k, "recd", r'), dummy)
|
adamc@12
|
496
|
adamc@12
|
497 val prefix = case (fs, others) of
|
adamc@12
|
498 ([], other :: others) =>
|
adamc@12
|
499 List.foldl (fn (other, c) =>
|
adamc@12
|
500 (L'.CConcat (c, other), dummy))
|
adamc@12
|
501 other others
|
adamc@12
|
502 | (fs, []) =>
|
adamc@12
|
503 (L'.CRecord (k, fs), dummy)
|
adamc@12
|
504 | (fs, others) =>
|
adamc@12
|
505 List.foldl (fn (other, c) =>
|
adamc@12
|
506 (L'.CConcat (c, other), dummy))
|
adamc@12
|
507 (L'.CRecord (k, fs), dummy) others
|
adamc@12
|
508 in
|
adamc@12
|
509 r := SOME (L'.CConcat (prefix, cr'), dummy);
|
adamc@12
|
510 ([], [], (cr', r') :: rest)
|
adamc@12
|
511 end
|
adamc@12
|
512
|
adamc@12
|
513 val (fs1, others1, unifs2) = unifFields (fs1, others1, unifs2)
|
adamc@12
|
514 val (fs2, others2, unifs1) = unifFields (fs2, others2, unifs1)
|
adamc@12
|
515
|
adamc@12
|
516 val clear1 = case (fs1, others1) of
|
adamc@12
|
517 ([], []) => true
|
adamc@12
|
518 | _ => false
|
adamc@12
|
519 val clear2 = case (fs2, others2) of
|
adamc@12
|
520 ([], []) => true
|
adamc@12
|
521 | _ => false
|
adamc@12
|
522 val empty = (L'.CRecord (k, []), dummy)
|
adamc@12
|
523 fun pairOffUnifs (unifs1, unifs2) =
|
adamc@12
|
524 case (unifs1, unifs2) of
|
adamc@12
|
525 ([], _) =>
|
adamc@12
|
526 if clear1 then
|
adamc@12
|
527 List.app (fn (_, r) => r := SOME empty) unifs2
|
adamc@12
|
528 else
|
adamc@12
|
529 raise CUnify' CRecordFailure
|
adamc@12
|
530 | (_, []) =>
|
adamc@12
|
531 if clear2 then
|
adamc@12
|
532 List.app (fn (_, r) => r := SOME empty) unifs1
|
adamc@12
|
533 else
|
adamc@12
|
534 raise CUnify' CRecordFailure
|
adamc@12
|
535 | ((c1, _) :: rest1, (_, r2) :: rest2) =>
|
adamc@12
|
536 (r2 := SOME c1;
|
adamc@12
|
537 pairOffUnifs (rest1, rest2))
|
adamc@12
|
538 in
|
adamc@12
|
539 pairOffUnifs (unifs1, unifs2)
|
adamc@12
|
540 end
|
adamc@12
|
541
|
adamc@12
|
542 and hnormCon env (cAll as (c, _)) =
|
adamc@11
|
543 case c of
|
adamc@11
|
544 L'.CUnif (_, _, ref (SOME c)) => hnormCon env c
|
adamc@11
|
545
|
adamc@11
|
546 | L'.CNamed xn =>
|
adamc@11
|
547 (case E.lookupCNamed env xn of
|
adamc@11
|
548 (_, _, SOME c') => hnormCon env c'
|
adamc@11
|
549 | _ => cAll)
|
adamc@11
|
550
|
adamc@12
|
551 | L'.CApp (c1, c2) =>
|
adamc@12
|
552 (case hnormCon env c1 of
|
adamc@12
|
553 (L'.CAbs (_, _, cb), _) =>
|
adamc@12
|
554 ((hnormCon env (subConInCon (0, c2) cb))
|
adamc@12
|
555 handle SynUnif => cAll)
|
adamc@12
|
556 | _ => cAll)
|
adamc@12
|
557
|
adamc@12
|
558 | L'.CConcat (c1, c2) =>
|
adamc@12
|
559 (case (hnormCon env c1, hnormCon env c2) of
|
adamc@12
|
560 ((L'.CRecord (k, xcs1), loc), (L'.CRecord (_, xcs2), _)) =>
|
adamc@12
|
561 (L'.CRecord (k, xcs1 @ xcs2), loc)
|
adamc@12
|
562 | _ => cAll)
|
adamc@12
|
563
|
adamc@11
|
564 | _ => cAll
|
adamc@11
|
565
|
adamc@12
|
566 and unifyCons' env c1 c2 =
|
adamc@11
|
567 unifyCons'' env (hnormCon env c1) (hnormCon env c2)
|
adamc@11
|
568
|
adamc@11
|
569 and unifyCons'' env (c1All as (c1, _)) (c2All as (c2, _)) =
|
adamc@10
|
570 let
|
adamc@10
|
571 fun err f = raise CUnify' (f (c1All, c2All))
|
adamc@12
|
572
|
adamc@12
|
573 fun isRecord () = unifyRecordCons env (c1All, c2All)
|
adamc@10
|
574 in
|
adamc@10
|
575 case (c1, c2) of
|
adamc@10
|
576 (L'.TFun (d1, r1), L'.TFun (d2, r2)) =>
|
adamc@10
|
577 (unifyCons' env d1 d2;
|
adamc@10
|
578 unifyCons' env r1 r2)
|
adamc@10
|
579 | (L'.TCFun (expl1, x1, d1, r1), L'.TCFun (expl2, _, d2, r2)) =>
|
adamc@10
|
580 if expl1 <> expl2 then
|
adamc@10
|
581 err CExplicitness
|
adamc@10
|
582 else
|
adamc@10
|
583 (unifyKinds d1 d2;
|
adamc@10
|
584 unifyCons' (E.pushCRel env x1 d1) r1 r2)
|
adamc@10
|
585 | (L'.TRecord r1, L'.TRecord r2) => unifyCons' env r1 r2
|
adamc@10
|
586
|
adamc@10
|
587 | (L'.CRel n1, L'.CRel n2) =>
|
adamc@10
|
588 if n1 = n2 then
|
adamc@10
|
589 ()
|
adamc@10
|
590 else
|
adamc@10
|
591 err CIncompatible
|
adamc@10
|
592 | (L'.CNamed n1, L'.CNamed n2) =>
|
adamc@10
|
593 if n1 = n2 then
|
adamc@10
|
594 ()
|
adamc@10
|
595 else
|
adamc@10
|
596 err CIncompatible
|
adamc@10
|
597
|
adamc@10
|
598 | (L'.CApp (d1, r1), L'.CApp (d2, r2)) =>
|
adamc@10
|
599 (unifyCons' env d1 d2;
|
adamc@10
|
600 unifyCons' env r1 r2)
|
adamc@10
|
601 | (L'.CAbs (x1, k1, c1), L'.CAbs (_, k2, c2)) =>
|
adamc@10
|
602 (unifyKinds k1 k2;
|
adamc@10
|
603 unifyCons' (E.pushCRel env x1 k1) c1 c2)
|
adamc@10
|
604
|
adamc@10
|
605 | (L'.CName n1, L'.CName n2) =>
|
adamc@10
|
606 if n1 = n2 then
|
adamc@10
|
607 ()
|
adamc@10
|
608 else
|
adamc@10
|
609 err CIncompatible
|
adamc@10
|
610
|
adamc@10
|
611 | (L'.CError, _) => ()
|
adamc@10
|
612 | (_, L'.CError) => ()
|
adamc@10
|
613
|
adamc@10
|
614 | (L'.CUnif (_, _, ref (SOME c1All)), _) => unifyCons' env c1All c2All
|
adamc@10
|
615 | (_, L'.CUnif (_, _, ref (SOME c2All))) => unifyCons' env c1All c2All
|
adamc@10
|
616
|
adamc@10
|
617 | (L'.CUnif (k1, _, r1), L'.CUnif (k2, _, r2)) =>
|
adamc@10
|
618 if r1 = r2 then
|
adamc@10
|
619 ()
|
adamc@10
|
620 else
|
adamc@10
|
621 (unifyKinds k1 k2;
|
adamc@10
|
622 r1 := SOME c2All)
|
adamc@10
|
623
|
adamc@10
|
624 | (L'.CUnif (_, _, r), _) =>
|
adamc@10
|
625 if occursCon r c2All then
|
adamc@10
|
626 err COccursCheckFailed
|
adamc@10
|
627 else
|
adamc@10
|
628 r := SOME c2All
|
adamc@10
|
629 | (_, L'.CUnif (_, _, r)) =>
|
adamc@10
|
630 if occursCon r c1All then
|
adamc@10
|
631 err COccursCheckFailed
|
adamc@10
|
632 else
|
adamc@10
|
633 r := SOME c1All
|
adamc@10
|
634
|
adamc@12
|
635 | (L'.CRecord _, _) => isRecord ()
|
adamc@12
|
636 | (_, L'.CRecord _) => isRecord ()
|
adamc@12
|
637 | (L'.CConcat _, _) => isRecord ()
|
adamc@12
|
638 | (_, L'.CConcat _) => isRecord ()
|
adamc@12
|
639
|
adamc@10
|
640 | _ => err CIncompatible
|
adamc@10
|
641 end
|
adamc@10
|
642
|
adamc@12
|
643 and unifyCons env c1 c2 =
|
adamc@10
|
644 unifyCons' env c1 c2
|
adamc@10
|
645 handle CUnify' err => raise CUnify (c1, c2, err)
|
adamc@10
|
646 | KUnify args => raise CUnify (c1, c2, CKind args)
|
adamc@10
|
647
|
adamc@10
|
648 datatype exp_error =
|
adamc@10
|
649 UnboundExp of ErrorMsg.span * string
|
adamc@10
|
650 | Unify of L'.exp * L'.con * L'.con * cunify_error
|
adamc@11
|
651 | Unif of string * L'.con
|
adamc@11
|
652 | WrongForm of string * L'.exp * L'.con
|
adamc@10
|
653
|
adamc@10
|
654 fun expError env err =
|
adamc@10
|
655 case err of
|
adamc@10
|
656 UnboundExp (loc, s) =>
|
adamc@10
|
657 ErrorMsg.errorAt loc ("Unbound expression variable " ^ s)
|
adamc@10
|
658 | Unify (e, c1, c2, uerr) =>
|
adamc@10
|
659 (ErrorMsg.errorAt (#2 e) "Unification failure";
|
adamc@10
|
660 eprefaces' [("Expression", p_exp env e),
|
adamc@10
|
661 ("Have con", p_con env c1),
|
adamc@10
|
662 ("Need con", p_con env c2)];
|
adamc@10
|
663 cunifyError env uerr)
|
adamc@11
|
664 | Unif (action, c) =>
|
adamc@11
|
665 (ErrorMsg.errorAt (#2 c) ("Unification variable blocks " ^ action);
|
adamc@11
|
666 eprefaces' [("Con", p_con env c)])
|
adamc@11
|
667 | WrongForm (variety, e, t) =>
|
adamc@11
|
668 (ErrorMsg.errorAt (#2 e) ("Expression is not a " ^ variety);
|
adamc@11
|
669 eprefaces' [("Expression", p_exp env e),
|
adamc@11
|
670 ("Type", p_con env t)])
|
adamc@10
|
671
|
adamc@10
|
672 fun checkCon env e c1 c2 =
|
adamc@10
|
673 unifyCons env c1 c2
|
adamc@10
|
674 handle CUnify (c1, c2, err) =>
|
adamc@10
|
675 expError env (Unify (e, c1, c2, err))
|
adamc@10
|
676
|
adamc@14
|
677 fun primType env p =
|
adamc@14
|
678 let
|
adamc@14
|
679 val s = case p of
|
adamc@14
|
680 P.Int _ => "int"
|
adamc@14
|
681 | P.Float _ => "float"
|
adamc@14
|
682 | P.String _ => "string"
|
adamc@14
|
683 in
|
adamc@14
|
684 case E.lookupC env s of
|
adamc@14
|
685 E.NotBound => raise Fail ("Primitive type " ^ s ^ " unbound")
|
adamc@14
|
686 | E.Rel _ => raise Fail ("Primitive type " ^ s ^ " bound as relative")
|
adamc@14
|
687 | E.Named (n, (L'.KType, _)) => L'.CNamed n
|
adamc@14
|
688 | E.Named _ => raise Fail ("Primitive type " ^ s ^ " bound at non-Type kind")
|
adamc@14
|
689 end
|
adamc@14
|
690
|
adamc@15
|
691 fun typeof env (e, loc) =
|
adamc@15
|
692 case e of
|
adamc@15
|
693 L'.EPrim p => (primType env p, loc)
|
adamc@15
|
694 | L'.ERel n => #2 (E.lookupERel env n)
|
adamc@15
|
695 | L'.ENamed n => #2 (E.lookupENamed env n)
|
adamc@15
|
696 | L'.EApp (e1, _) =>
|
adamc@15
|
697 (case #1 (typeof env e1) of
|
adamc@15
|
698 L'.TFun (_, c) => c
|
adamc@15
|
699 | _ => raise Fail "typeof: Bad EApp")
|
adamc@26
|
700 | L'.EAbs (_, _, ran, _) => ran
|
adamc@15
|
701 | L'.ECApp (e1, c) =>
|
adamc@15
|
702 (case #1 (typeof env e1) of
|
adamc@15
|
703 L'.TCFun (_, _, _, c1) => subConInCon (0, c) c1
|
adamc@15
|
704 | _ => raise Fail "typeof: Bad ECApp")
|
adamc@15
|
705 | L'.ECAbs (expl, x, k, e1) => (L'.TCFun (expl, x, k, typeof (E.pushCRel env x k) e1), loc)
|
adamc@15
|
706
|
adamc@29
|
707 | L'.ERecord xes => (L'.TRecord (L'.CRecord (ktype, map (fn (x, _, t) => (x, t)) xes), loc), loc)
|
adamc@15
|
708 | L'.EField (_, _, {field, ...}) => field
|
adamc@15
|
709
|
adamc@15
|
710 | L'.EError => cerror
|
adamc@15
|
711
|
adamc@15
|
712 fun elabHead env (e as (_, loc)) t =
|
adamc@15
|
713 let
|
adamc@15
|
714 fun unravel (t, e) =
|
adamc@15
|
715 case hnormCon env t of
|
adamc@15
|
716 (L'.TCFun (L'.Implicit, x, k, t'), _) =>
|
adamc@15
|
717 let
|
adamc@15
|
718 val u = cunif k
|
adamc@15
|
719 in
|
adamc@15
|
720 unravel (subConInCon (0, u) t',
|
adamc@15
|
721 (L'.ECApp (e, u), loc))
|
adamc@15
|
722 end
|
adamc@15
|
723 | _ => (e, t)
|
adamc@15
|
724 in
|
adamc@15
|
725 unravel (t, e)
|
adamc@15
|
726 end
|
adamc@15
|
727
|
adamc@10
|
728 fun elabExp env (e, loc) =
|
adamc@10
|
729 case e of
|
adamc@10
|
730 L.EAnnot (e, t) =>
|
adamc@10
|
731 let
|
adamc@10
|
732 val (e', et) = elabExp env e
|
adamc@10
|
733 val (t', _) = elabCon env t
|
adamc@10
|
734 in
|
adamc@10
|
735 checkCon env e' et t';
|
adamc@10
|
736 (e', t')
|
adamc@10
|
737 end
|
adamc@10
|
738
|
adamc@14
|
739 | L.EPrim p => ((L'.EPrim p, loc), (primType env p, loc))
|
adamc@10
|
740 | L.EVar s =>
|
adamc@10
|
741 (case E.lookupE env s of
|
adamc@10
|
742 E.NotBound =>
|
adamc@10
|
743 (expError env (UnboundExp (loc, s));
|
adamc@10
|
744 (eerror, cerror))
|
adamc@10
|
745 | E.Rel (n, t) => ((L'.ERel n, loc), t)
|
adamc@10
|
746 | E.Named (n, t) => ((L'.ENamed n, loc), t))
|
adamc@10
|
747 | L.EApp (e1, e2) =>
|
adamc@10
|
748 let
|
adamc@10
|
749 val (e1', t1) = elabExp env e1
|
adamc@15
|
750 val (e1', t1) = elabHead env e1' t1
|
adamc@10
|
751 val (e2', t2) = elabExp env e2
|
adamc@10
|
752
|
adamc@10
|
753 val dom = cunif ktype
|
adamc@10
|
754 val ran = cunif ktype
|
adamc@10
|
755 val t = (L'.TFun (dom, ran), dummy)
|
adamc@10
|
756 in
|
adamc@10
|
757 checkCon env e1' t1 t;
|
adamc@10
|
758 checkCon env e2' t2 dom;
|
adamc@10
|
759 ((L'.EApp (e1', e2'), loc), ran)
|
adamc@10
|
760 end
|
adamc@10
|
761 | L.EAbs (x, to, e) =>
|
adamc@10
|
762 let
|
adamc@10
|
763 val t' = case to of
|
adamc@10
|
764 NONE => cunif ktype
|
adamc@10
|
765 | SOME t =>
|
adamc@10
|
766 let
|
adamc@10
|
767 val (t', tk) = elabCon env t
|
adamc@10
|
768 in
|
adamc@10
|
769 checkKind env t' tk ktype;
|
adamc@10
|
770 t'
|
adamc@10
|
771 end
|
adamc@10
|
772 val (e', et) = elabExp (E.pushERel env x t') e
|
adamc@10
|
773 in
|
adamc@26
|
774 ((L'.EAbs (x, t', et, e'), loc),
|
adamc@10
|
775 (L'.TFun (t', et), loc))
|
adamc@10
|
776 end
|
adamc@10
|
777 | L.ECApp (e, c) =>
|
adamc@10
|
778 let
|
adamc@10
|
779 val (e', et) = elabExp env e
|
adamc@15
|
780 val (e', et) = elabHead env e' et
|
adamc@10
|
781 val (c', ck) = elabCon env c
|
adamc@10
|
782 in
|
adamc@11
|
783 case #1 (hnormCon env et) of
|
adamc@11
|
784 L'.CError => (eerror, cerror)
|
adamc@11
|
785 | L'.TCFun (_, _, k, eb) =>
|
adamc@11
|
786 let
|
adamc@11
|
787 val () = checkKind env c' ck k
|
adamc@11
|
788 val eb' = subConInCon (0, c') eb
|
adamc@11
|
789 handle SynUnif => (expError env (Unif ("substitution", eb));
|
adamc@11
|
790 cerror)
|
adamc@11
|
791 in
|
adamc@11
|
792 ((L'.ECApp (e', c'), loc), eb')
|
adamc@11
|
793 end
|
adamc@11
|
794
|
adamc@11
|
795 | L'.CUnif _ =>
|
adamc@11
|
796 (expError env (Unif ("application", et));
|
adamc@11
|
797 (eerror, cerror))
|
adamc@11
|
798
|
adamc@11
|
799 | _ =>
|
adamc@11
|
800 (expError env (WrongForm ("constructor function", e', et));
|
adamc@11
|
801 (eerror, cerror))
|
adamc@10
|
802 end
|
adamc@11
|
803 | L.ECAbs (expl, x, k, e) =>
|
adamc@11
|
804 let
|
adamc@11
|
805 val expl' = elabExplicitness expl
|
adamc@11
|
806 val k' = elabKind k
|
adamc@11
|
807 val (e', et) = elabExp (E.pushCRel env x k') e
|
adamc@11
|
808 in
|
adamc@11
|
809 ((L'.ECAbs (expl', x, k', e'), loc),
|
adamc@11
|
810 (L'.TCFun (expl', x, k', et), loc))
|
adamc@11
|
811 end
|
adamc@6
|
812
|
adamc@12
|
813 | L.ERecord xes =>
|
adamc@12
|
814 let
|
adamc@12
|
815 val xes' = map (fn (x, e) =>
|
adamc@12
|
816 let
|
adamc@12
|
817 val (x', xk) = elabCon env x
|
adamc@12
|
818 val (e', et) = elabExp env e
|
adamc@12
|
819 in
|
adamc@12
|
820 checkKind env x' xk kname;
|
adamc@12
|
821 (x', e', et)
|
adamc@12
|
822 end) xes
|
adamc@12
|
823 in
|
adamc@29
|
824 ((L'.ERecord xes', loc),
|
adamc@12
|
825 (L'.TRecord (L'.CRecord (ktype, map (fn (x', _, et) => (x', et)) xes'), loc), loc))
|
adamc@12
|
826 end
|
adamc@12
|
827
|
adamc@12
|
828 | L.EField (e, c) =>
|
adamc@12
|
829 let
|
adamc@12
|
830 val (e', et) = elabExp env e
|
adamc@12
|
831 val (c', ck) = elabCon env c
|
adamc@12
|
832
|
adamc@12
|
833 val ft = cunif ktype
|
adamc@12
|
834 val rest = cunif ktype_record
|
adamc@12
|
835 in
|
adamc@12
|
836 checkKind env c' ck kname;
|
adamc@12
|
837 checkCon env e' et (L'.TRecord (L'.CConcat ((L'.CRecord (ktype, [(c', ft)]), loc), rest), loc), loc);
|
adamc@12
|
838 ((L'.EField (e', c', {field = ft, rest = rest}), loc), ft)
|
adamc@12
|
839 end
|
adamc@12
|
840
|
adamc@12
|
841
|
adamc@6
|
842 datatype decl_error =
|
adamc@6
|
843 KunifsRemainKind of ErrorMsg.span * L'.kind
|
adamc@6
|
844 | KunifsRemainCon of ErrorMsg.span * L'.con
|
adamc@10
|
845 | KunifsRemainExp of ErrorMsg.span * L'.exp
|
adamc@10
|
846 | CunifsRemainCon of ErrorMsg.span * L'.con
|
adamc@10
|
847 | CunifsRemainExp of ErrorMsg.span * L'.exp
|
adamc@6
|
848
|
adamc@6
|
849 fun declError env err =
|
adamc@6
|
850 case err of
|
adamc@6
|
851 KunifsRemainKind (loc, k) =>
|
adamc@6
|
852 (ErrorMsg.errorAt loc "Some kind unification variables are undetermined in kind";
|
adamc@6
|
853 eprefaces' [("Kind", p_kind k)])
|
adamc@6
|
854 | KunifsRemainCon (loc, c) =>
|
adamc@6
|
855 (ErrorMsg.errorAt loc "Some kind unification variables are undetermined in constructor";
|
adamc@6
|
856 eprefaces' [("Constructor", p_con env c)])
|
adamc@10
|
857 | KunifsRemainExp (loc, e) =>
|
adamc@10
|
858 (ErrorMsg.errorAt loc "Some kind unification variables are undetermined in expression";
|
adamc@10
|
859 eprefaces' [("Expression", p_exp env e)])
|
adamc@10
|
860 | CunifsRemainCon (loc, c) =>
|
adamc@10
|
861 (ErrorMsg.errorAt loc "Some constructor unification variables are undetermined in constructor";
|
adamc@10
|
862 eprefaces' [("Constructor", p_con env c)])
|
adamc@10
|
863 | CunifsRemainExp (loc, e) =>
|
adamc@10
|
864 (ErrorMsg.errorAt loc "Some constructor unification variables are undetermined in expression";
|
adamc@10
|
865 eprefaces' [("Expression", p_exp env e)])
|
adamc@6
|
866
|
adamc@3
|
867 fun elabDecl env (d, loc) =
|
adamc@5
|
868 (resetKunif ();
|
adamc@12
|
869 resetCunif ();
|
adamc@5
|
870 case d of
|
adamc@5
|
871 L.DCon (x, ko, c) =>
|
adamc@5
|
872 let
|
adamc@5
|
873 val k' = case ko of
|
adamc@5
|
874 NONE => kunif ()
|
adamc@5
|
875 | SOME k => elabKind k
|
adamc@3
|
876
|
adamc@5
|
877 val (c', ck) = elabCon env c
|
adamc@11
|
878 val (env', n) = E.pushCNamed env x k' (SOME c')
|
adamc@5
|
879 in
|
adamc@5
|
880 checkKind env c' ck k';
|
adamc@6
|
881
|
adamc@15
|
882 if ErrorMsg.anyErrors () then
|
adamc@15
|
883 ()
|
adamc@15
|
884 else (
|
adamc@15
|
885 if kunifsInKind k' then
|
adamc@15
|
886 declError env (KunifsRemainKind (loc, k'))
|
adamc@15
|
887 else
|
adamc@15
|
888 ();
|
adamc@6
|
889
|
adamc@15
|
890 if kunifsInCon c' then
|
adamc@15
|
891 declError env (KunifsRemainCon (loc, c'))
|
adamc@15
|
892 else
|
adamc@15
|
893 ()
|
adamc@15
|
894 );
|
adamc@6
|
895
|
adamc@5
|
896 (env',
|
adamc@5
|
897 (L'.DCon (x, n, k', c'), loc))
|
adamc@10
|
898 end
|
adamc@10
|
899 | L.DVal (x, co, e) =>
|
adamc@10
|
900 let
|
adamc@10
|
901 val (c', ck) = case co of
|
adamc@10
|
902 NONE => (cunif ktype, ktype)
|
adamc@10
|
903 | SOME c => elabCon env c
|
adamc@10
|
904
|
adamc@10
|
905 val (e', et) = elabExp env e
|
adamc@10
|
906 val (env', n) = E.pushENamed env x c'
|
adamc@10
|
907 in
|
adamc@10
|
908 checkCon env e' et c';
|
adamc@10
|
909
|
adamc@15
|
910 if ErrorMsg.anyErrors () then
|
adamc@15
|
911 ()
|
adamc@15
|
912 else (
|
adamc@15
|
913 if kunifsInCon c' then
|
adamc@15
|
914 declError env (KunifsRemainCon (loc, c'))
|
adamc@15
|
915 else
|
adamc@15
|
916 ();
|
adamc@10
|
917
|
adamc@15
|
918 if cunifsInCon c' then
|
adamc@15
|
919 declError env (CunifsRemainCon (loc, c'))
|
adamc@15
|
920 else
|
adamc@15
|
921 ();
|
adamc@10
|
922
|
adamc@15
|
923 if kunifsInExp e' then
|
adamc@15
|
924 declError env (KunifsRemainExp (loc, e'))
|
adamc@15
|
925 else
|
adamc@15
|
926 ();
|
adamc@10
|
927
|
adamc@15
|
928 if cunifsInExp e' then
|
adamc@15
|
929 declError env (CunifsRemainExp (loc, e'))
|
adamc@15
|
930 else
|
adamc@15
|
931 ());
|
adamc@10
|
932
|
adamc@10
|
933 (env',
|
adamc@10
|
934 (L'.DVal (x, n, c', e'), loc))
|
adamc@5
|
935 end)
|
adamc@3
|
936
|
adamc@5
|
937 fun elabFile env ds =
|
adamc@5
|
938 ListUtil.mapfoldl (fn (d, env) => elabDecl env d) env ds
|
adamc@2
|
939
|
adamc@2
|
940 end
|