--- /dev/null
+(* Copyright (C) 2005, 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://cs.unibo.it/helm/.
+ *)
+
+(* $Id$ *)
+
+(** {2 Auxiliary functions} *)
+
+let uri = UriManager.uri_of_string
+
+let const ?(subst = []) uri = Cic.Const (uri, subst)
+let var ?(subst = []) uri = Cic.Var (uri, subst)
+let mutconstruct ?(subst = []) uri typeno consno =
+ Cic.MutConstruct (uri, typeno, consno, subst)
+let mutind ?(subst = []) uri typeno = Cic.MutInd (uri, typeno, subst)
+
+let indtyuri_of_uri uri =
+ let index_sharp = String.index uri '#' in
+ let index_num = index_sharp + 3 in
+ (UriManager.uri_of_string (String.sub uri 0 index_sharp),
+ int_of_string(String.sub uri index_num (String.length uri - index_num)) - 1)
+
+let indconuri_of_uri uri =
+ let index_sharp = String.index uri '#' in
+ let index_div = String.rindex uri '/' in
+ let index_con = index_div + 1 in
+ (UriManager.uri_of_string (String.sub uri 0 index_sharp),
+ int_of_string
+ (String.sub uri (index_sharp + 3) (index_div - index_sharp - 3)) - 1,
+ int_of_string
+ (String.sub uri index_con (String.length uri - index_con)))
+
+(** {2 Helm's objects shorthands} *)
+
+module Logic =
+ struct
+ let eq_SURI = "cic:/Coq/Init/Logic/eq.ind"
+ let eq_URI = uri eq_SURI
+ let eq_XURI = eq_SURI ^ "#xpointer(1/1)"
+ let eq_ind_URI = uri "cic:/Coq/Init/Logic/eq_ind.con"
+ let eq_ind_r_URI = uri "cic:/Coq/Init/Logic/eq_ind_r.con"
+ let true_URI = uri "cic:/Coq/Init/Logic/True.ind"
+ let false_URI = uri "cic:/Coq/Init/Logic/False.ind"
+ let false_ind_URI = uri "cic:/Coq/Init/Logic/False_ind.con"
+ let ex_SURI = "cic:/Coq/Init/Logic/ex.ind"
+ let ex_URI = uri ex_SURI
+ let ex_XURI = ex_SURI ^ "#xpointer(1/1)"
+ let ex_ind_URI = uri "cic:/Coq/Init/Logic/ex_ind.con"
+ let and_SURI = "cic:/Coq/Init/Logic/and.ind"
+ let and_URI = uri and_SURI
+ let and_XURI = and_SURI ^ "#xpointer(1/1)"
+ let and_ind_URI = uri "cic:/Coq/Init/Logic/and_ind.con"
+ let or_SURI = "cic:/Coq/Init/Logic/or.ind"
+ let or_URI = uri or_SURI
+ let or_XURI = or_SURI ^ "#xpointer(1/1)"
+ let not_SURI = "cic:/Coq/Init/Logic/not.con"
+ let not_URI = uri not_SURI
+ let iff_SURI = "cic:/Coq/Init/Logic/iff.con"
+ let iff_URI = uri "cic:/Coq/Init/Logic/iff.con"
+ let sym_eq_URI = uri "cic:/Coq/Init/Logic/sym_eq.con"
+ let trans_eq_URI = uri "cic:/Coq/Init/Logic/trans_eq.con"
+ let absurd_URI = uri "cic:/Coq/Init/Logic/absurd.con"
+ end
+
+module Datatypes =
+ struct
+ let bool_URI = uri "cic:/Coq/Init/Datatypes/bool.ind"
+ let nat_URI = uri "cic:/Coq/Init/Datatypes/nat.ind"
+
+ let trueb = mutconstruct bool_URI 0 1
+ let falseb = mutconstruct bool_URI 0 2
+ let zero = mutconstruct nat_URI 0 1
+ let succ = mutconstruct nat_URI 0 2
+ end
+
+module Reals =
+ struct
+ let r_URI = uri "cic:/Coq/Reals/Rdefinitions/R.con"
+ let rplus_SURI = "cic:/Coq/Reals/Rdefinitions/Rplus.con"
+ let rplus_URI = uri rplus_SURI
+ let rminus_SURI = "cic:/Coq/Reals/Rdefinitions/Rminus.con"
+ let rminus_URI = uri rminus_SURI
+ let rmult_SURI = "cic:/Coq/Reals/Rdefinitions/Rmult.con"
+ let rmult_URI = uri rmult_SURI
+ let rdiv_SURI = "cic:/Coq/Reals/Rdefinitions/Rdiv.con"
+ let rdiv_URI = uri rdiv_SURI
+ let ropp_SURI = "cic:/Coq/Reals/Rdefinitions/Ropp.con"
+ let ropp_URI = uri ropp_SURI
+ let rinv_SURI = "cic:/Coq/Reals/Rdefinitions/Rinv.con"
+ let rinv_URI = uri rinv_SURI
+ let r0_SURI = "cic:/Coq/Reals/Rdefinitions/R0.con"
+ let r0_URI = uri r0_SURI
+ let r1_SURI = "cic:/Coq/Reals/Rdefinitions/R1.con"
+ let r1_URI = uri r1_SURI
+ let rle_SURI = "cic:/Coq/Reals/Rdefinitions/Rle.con"
+ let rle_URI = uri rle_SURI
+ let rge_SURI = "cic:/Coq/Reals/Rdefinitions/Rge.con"
+ let rge_URI = uri rge_SURI
+ let rlt_SURI = "cic:/Coq/Reals/Rdefinitions/Rlt.con"
+ let rlt_URI = uri rlt_SURI
+ let rgt_SURI = "cic:/Coq/Reals/Rdefinitions/Rgt.con"
+ let rgt_URI = uri rgt_SURI
+ let rtheory_URI = uri "cic:/Coq/Reals/RIneq/RTheory.con"
+ let rinv_r1_URI = uri "cic:/Coq/Reals/RIneq/Rinv_1.con"
+ let pow_URI = uri "cic:/Coq/Reals/Rfunctions/pow.con"
+
+ let r = const r_URI
+ let rplus = const rplus_URI
+ let rmult = const rmult_URI
+ let ropp = const ropp_URI
+ let r0 = const r0_URI
+ let r1 = const r1_URI
+ let rtheory = const rtheory_URI
+ end
+
+module Peano =
+ struct
+ let plus_SURI = "cic:/Coq/Init/Peano/plus.con"
+ let plus_URI = uri plus_SURI
+ let minus_SURI = "cic:/Coq/Init/Peano/minus.con"
+ let minus_URI = uri minus_SURI
+ let mult_SURI = "cic:/Coq/Init/Peano/mult.con"
+ let mult_URI = uri mult_SURI
+ let pred_URI = uri "cic:/Coq/Init/Peano/pred.con"
+ let le_SURI = "cic:/Coq/Init/Peano/le.ind"
+ let le_URI = uri le_SURI
+ let le_XURI = le_SURI ^ "#xpointer(1/1)"
+ let ge_SURI = "cic:/Coq/Init/Peano/ge.con"
+ let ge_URI = uri ge_SURI
+ let lt_SURI = "cic:/Coq/Init/Peano/lt.con"
+ let lt_URI = uri lt_SURI
+ let gt_SURI = "cic:/Coq/Init/Peano/gt.con"
+ let gt_URI = uri gt_SURI
+
+ let plus = const plus_URI
+ let mult = const mult_URI
+ let pred = const pred_URI
+ end
+
+module BinPos =
+ struct
+ let positive_SURI = "cic:/Coq/NArith/BinPos/positive.ind"
+ let positive_URI = uri positive_SURI
+ let xI = mutconstruct positive_URI 0 1
+ let xO = mutconstruct positive_URI 0 2
+ let xH = mutconstruct positive_URI 0 3
+ let pplus_SURI = "cic:/Coq/NArith/BinPos/Pplus.con"
+ let pplus_URI = uri pplus_SURI
+ let pplus = const pplus_URI
+ let pminus_SURI = "cic:/Coq/NArith/BinPos/Pminus.con"
+ let pminus_URI = uri pminus_SURI
+ let pminus = const pminus_URI
+ let pmult_SURI = "cic:/Coq/NArith/BinPos/Pmult.con"
+ let pmult_URI = uri pmult_SURI
+ let pmult = const pmult_URI
+ end
+
+module BinInt =
+ struct
+ let zmult_URI = uri "cic:/Coq/ZArith/BinInt/Zmult.con"
+ let zmult = const zmult_URI
+ let zplus_SURI = "cic:/Coq/ZArith/BinInt/Zplus.con"
+ let zplus_URI = uri zplus_SURI
+ let zplus = const zplus_URI
+ let zminus_SURI = "cic:/Coq/ZArith/BinInt/Zminus.con"
+ let zminus_URI = uri zminus_SURI
+ let zminus = const zminus_URI
+ let z_SURI = "cic:/Coq/ZArith/BinInt/Z.ind"
+ let z_URI = uri z_SURI
+ let z0 = mutconstruct z_URI 0 1
+ let zpos = mutconstruct z_URI 0 2
+ let zneg = mutconstruct z_URI 0 3
+ let zopp_SURI = "cic:/Coq/ZArith/BinInt/Zopp.con"
+ let zopp_URI = uri zopp_SURI
+ let zopp = const zopp_URI
+ let zpower_URI = uri "cic:/Coq/ZArith/Zpower/Zpower.con"
+ end
+
+(** {2 Helpers for creating common terms}
+ * (e.g. numbers)} *)
+
+exception NegativeInteger
+
+let build_nat n =
+ if n < 0 then raise NegativeInteger;
+ let rec aux = function
+ | 0 -> Datatypes.zero
+ | n -> Cic.Appl [ Datatypes.succ; (aux (n - 1)) ]
+ in
+ aux n
+
+let build_real n =
+ if n < 0 then raise NegativeInteger;
+ let rec aux = function
+ | 0 -> Reals.r0
+ | 1 -> Reals.r1 (* to avoid trailing "+ 0" *)
+ | n -> Cic.Appl [ Reals.rplus; Reals.r1; (aux (n - 1)) ]
+ in
+ aux n
+
+let build_bin_pos n =
+ if n < 1 then raise NegativeInteger;
+ let rec aux = function
+ | 1 -> BinPos.xH
+ | n when n mod 2 = 0 -> Cic.Appl [ BinPos.xO; aux (n / 2) ]
+ | n -> Cic.Appl [ BinPos.xI; aux (n / 2) ]
+ in
+ aux n
+
projects / helm.git / blobdiff