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[helm.git] / helm / ocaml / cic_disambiguation / arit_notation.ml
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-(* Copyright (C) 2004, HELM Team.
- * 
- * This file is part of HELM, an Hypertextual, Electronic
- * Library of Mathematics, developed at the Computer Science
- * Department, University of Bologna, Italy.
- * 
- * HELM is free software; you can redistribute it and/or
- * modify it under the terms of the GNU General Public License
- * as published by the Free Software Foundation; either version 2
- * of the License, or (at your option) any later version.
- * 
- * HELM is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
- * GNU General Public License for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with HELM; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
- * MA  02111-1307, USA.
- * 
- * For details, see the HELM World-Wide-Web page,
- * http://helm.cs.unibo.it/
- *)
-
-open CicTextualParser2
-
-EXTEND
-  term: LEVEL "add"
-    [
-      [ t1 = term; SYMBOL "+"; t2 = term ->
-          return_term loc (CicAst.Appl [CicAst.Symbol ("plus", 0); t1; t2])
-      | t1 = term; SYMBOL "-"; t2 = term ->
-          return_term loc (CicAst.Appl [CicAst.Symbol ("minus", 0); t1; t2])
-      ]
-    ];
-  term: LEVEL "mult"
-    [
-      [ t1 = term; SYMBOL "*"; t2 = term ->
-          return_term loc (CicAst.Appl [CicAst.Symbol ("times", 0); t1; t2])
-      | t1 = term; SYMBOL "/"; t2 = term ->
-          return_term loc (CicAst.Appl [CicAst.Symbol ("divide", 0); t1; t2])
-      ]
-    ];
-  term: LEVEL "power"
-    [
-      [ t1 = term; SYMBOL "^"; t2 = term ->
-          return_term loc (CicAst.Appl [CicAst.Symbol ("power", 0); t1; t2])
-      ]
-    ];
-  term: LEVEL "inv"
-    [
-      [ SYMBOL "-"; t = term ->
-        return_term loc (CicAst.Appl [CicAst.Symbol ("uminus", 0); t])
-      ]
-    ];
-  term: LEVEL "relop"
-    [
-      [ t1 = term; SYMBOL <:unicode<leq>> (* ≤ *); t2 = term ->
-          return_term loc (CicAst.Appl [CicAst.Symbol ("leq", 0); t1; t2])
-      | t1 = term; SYMBOL <:unicode<geq>> (* ≥ *); t2 = term ->
-          return_term loc (CicAst.Appl [CicAst.Symbol ("geq", 0); t1; t2])
-      | t1 = term; SYMBOL "<"; t2 = term ->
-          return_term loc (CicAst.Appl [CicAst.Symbol ("lt", 0); t1; t2])
-      | t1 = term; SYMBOL ">"; t2 = term ->
-          return_term loc (CicAst.Appl [CicAst.Symbol ("gt", 0); t1; t2])
-      | t1 = term; SYMBOL <:unicode<ne>> (* ≠ *); t2 = term ->
-          return_term loc (CicAst.Appl [CicAst.Symbol ("neq", 0); t1; t2])
-      ]
-    ];
-END
-
-let _ =
-  let const s = Cic.Const (s, []) in
-  let mutind s = Cic.MutInd (s, 0, []) in
-
-  DisambiguateChoices.add_num_choice
-    ("natural number",
-      (fun _ num _ -> HelmLibraryObjects.build_nat (int_of_string num)));
-  DisambiguateChoices.add_num_choice
-    ("real number",
-      (fun _ num _ -> HelmLibraryObjects.build_real (int_of_string num)));
-  DisambiguateChoices.add_num_choice
-    ("binary positive number",
-      (fun _ num _ ->
-        let num = int_of_string num in
-        if num = 0 then
-          raise DisambiguateChoices.Invalid_choice
-        else
-          HelmLibraryObjects.build_bin_pos num));
-  DisambiguateChoices.add_num_choice
-    ("binary integer number",
-      (fun _ num _ ->
-        let num = int_of_string num in
-        if num = 0 then
-          HelmLibraryObjects.BinInt.z0
-        else if num > 0 then
-          Cic.Appl [
-            HelmLibraryObjects.BinInt.zpos;
-            HelmLibraryObjects.build_bin_pos num ]
-        else
-          assert false));
-
-  DisambiguateChoices.add_binary_op "plus" "natural plus"
-    HelmLibraryObjects.Peano.plus;
-  DisambiguateChoices.add_binary_op "plus" "real plus"
-    HelmLibraryObjects.Reals.rplus;
-  DisambiguateChoices.add_binary_op "plus" "binary integer plus"
-    HelmLibraryObjects.BinInt.zplus;
-  DisambiguateChoices.add_binary_op "plus" "binary positive plus"
-    HelmLibraryObjects.BinPos.pplus;
-  DisambiguateChoices.add_binary_op "minus" "natural minus"
-    (const HelmLibraryObjects.Peano.minus_URI);
-  DisambiguateChoices.add_binary_op "minus" "real minus"
-    (const HelmLibraryObjects.Reals.rminus_URI);
-  DisambiguateChoices.add_binary_op "minus" "binary integer minus"
-    HelmLibraryObjects.BinInt.zminus;
-  DisambiguateChoices.add_binary_op "minus" "binary positive minus"
-    HelmLibraryObjects.BinPos.pminus;
-  DisambiguateChoices.add_binary_op "times" "natural times"
-    (const HelmLibraryObjects.Peano.mult_URI);
-  DisambiguateChoices.add_binary_op "times" "real times"
-    (const HelmLibraryObjects.Reals.rmult_URI);
-  DisambiguateChoices.add_binary_op "times" "binary positive times"
-    HelmLibraryObjects.BinPos.pmult;
-  DisambiguateChoices.add_binary_op "times" "binary integer times"
-    HelmLibraryObjects.BinInt.zmult;
-  DisambiguateChoices.add_binary_op "power" "real power"
-    (const HelmLibraryObjects.Reals.pow_URI);
-  DisambiguateChoices.add_binary_op "power" "integer power"
-    (const HelmLibraryObjects.BinInt.zpower_URI);
-  DisambiguateChoices.add_binary_op "divide" "real divide"
-    (const HelmLibraryObjects.Reals.rdiv_URI);
-  DisambiguateChoices.add_unary_op "uminus" "real unary minus"
-    (const HelmLibraryObjects.Reals.ropp_URI);
-  DisambiguateChoices.add_unary_op "uminus" "binary integer negative sign"
-    (HelmLibraryObjects.BinInt.zneg);
-  DisambiguateChoices.add_unary_op "uminus" "binary integer unary minus"
-    (HelmLibraryObjects.BinInt.zopp);
-
-  DisambiguateChoices.add_binary_op "leq" "natural 'less or equal to'"
-    (mutind HelmLibraryObjects.Peano.le_URI);
-  DisambiguateChoices.add_binary_op "leq" "real 'less or equal to'"
-    (const HelmLibraryObjects.Reals.rle_URI);
-  DisambiguateChoices.add_binary_op "geq" "natural 'greater or equal to'"
-    (const HelmLibraryObjects.Peano.ge_URI);
-  DisambiguateChoices.add_binary_op "geq" "real 'greater or equal to'"
-    (const HelmLibraryObjects.Reals.rge_URI);
-  DisambiguateChoices.add_binary_op "lt" "natural 'less than'"
-    (const HelmLibraryObjects.Peano.lt_URI);
-  DisambiguateChoices.add_binary_op "lt" "real 'less than'"
-    (const HelmLibraryObjects.Reals.rlt_URI);
-  DisambiguateChoices.add_binary_op "gt" "natural 'greater than'"
-    (const HelmLibraryObjects.Peano.gt_URI);
-  DisambiguateChoices.add_binary_op "gt" "real 'greater than'"
-    (const HelmLibraryObjects.Reals.rgt_URI);
-  DisambiguateChoices.add_symbol_choice "neq"
-    ("not equal to (leibnitz)",
-      (fun env _ args ->
-        let t1, t2 =
-          match args with 
-          | [t1; t2] -> t1, t2
-          | _ -> raise DisambiguateChoices.Invalid_choice
-        in
-        Cic.Appl [ const HelmLibraryObjects.Logic.not_URI;
-          Cic.Appl [
-            Cic.MutInd (HelmLibraryObjects.Logic.eq_URI, 0, []);
-              Cic.Implicit (Some `Type); t1; t2 ] ]));
-
-(* vim:set encoding=utf8: *)