wneuper@59582: (* title:  Knowledge/polyminus.sml
neuper@37906:    author: Walther Neuper
neuper@37906:    WN071207,
neuper@37906:    (c) due to copyright terms
neuper@37906: *)
neuper@38037: "--------------------------------------------------------";
neuper@38037: "--------------------------------------------------------";
neuper@38037: "table of contents --------------------------------------";
neuper@38037: "--------------------------------------------------------";
walther@60325: "----------- fun identifier --------------------------------------------------------------------";
walther@60324: "----------- fun eval_kleiner, fun kleiner -----------------------------------------------------";
walther@60324: "----------- fun ist_monom ---------------------------------------------------------------------";
neuper@38037: "----------- fun eval_ist_monom -------------------------";
neuper@38037: "----------- watch order_add_mult  ----------------------";
neuper@38037: "----------- build predicate for +- ordering ------------";
neuper@38037: "----------- build fasse_zusammen -----------------------";
neuper@38037: "----------- build verschoenere -------------------------";
neuper@38037: "----------- met simplification for_polynomials with_minu";
neuper@38080: "----------- me simplification.for_polynomials.with_minus";
neuper@38037: "----------- pbl polynom vereinfachen p.33 --------------";
neuper@38037: "----------- met probe fuer_polynom ---------------------";
neuper@38037: "----------- pbl polynom probe --------------------------";
neuper@38037: "----------- pbl klammer polynom vereinfachen p.34 ------";
neuper@38037: "----------- try fun applyTactics -----------------------";
neuper@38037: "----------- pbl binom polynom vereinfachen p.39 --------";
neuper@38037: "----------- pbl binom polynom vereinfachen: cube -------";
walther@59968: "----------- Refine.refine Vereinfache -------------------------";
walther@59973: "----------- *** Problem.prep_input: syntax error in '#Where' of [v";
neuper@38037: "--------------------------------------------------------";
neuper@38037: "--------------------------------------------------------";
neuper@38037: "--------------------------------------------------------";
neuper@38037: 
neuper@41929: val thy = @{theory "PolyMinus"};
Walther@60424: val ctxt = Proof_Context.init_global thy;
neuper@37906: 
walther@60325: "----------- fun identifier --------------------------------------------------------------------";
walther@60325: "----------- fun identifier --------------------------------------------------------------------";
walther@60325: "----------- fun identifier --------------------------------------------------------------------";
walther@60325: if identifier (TermC.str2term "12 ::real") = "12"     then () else error "identifier 1";
walther@60351: if identifier (TermC.str2term
walther@60351:   "5 * e + 6 * f - 8 * g - 9 - 7 * e - 4 * f + 10 * g ::real") = "|||||||||||||"
walther@60351:                                                       then () else error "identifier 1a";
walther@60333: 
walther@60325: if identifier (TermC.str2term "a ::real") = "a"       then () else error "identifier 2";
walther@60325: if identifier (TermC.str2term "3 * a ::real") = "a"   then () else error "identifier 3";
walther@60333: 
walther@60325: if identifier (TermC.str2term "a \<up> 2 ::real") = "a"   then () else error "identifier 4";
walther@60325: if identifier (TermC.str2term "3*a \<up> 2 ::real") = "a" then () else error "identifier 5";
walther@60325: if identifier (TermC.str2term "a * b ::real") = "b"   then () else error "identifier 5b";
walther@60324: 
walther@60325: (*these are strange (see "specific monomials" in comment to fun.def.)..*)
walther@60325: if identifier (TermC.str2term "a*b ::real") = "b"     then () else error "identifier 6";
walther@60325: if identifier (TermC.str2term "(3*a*b) ::real") = "b" then () else error "identifier 7";
walther@60324: 
walther@60324: 
walther@60324: "----------- fun eval_kleiner, fun kleiner -----------------------------------------------------";
walther@60324: "----------- fun eval_kleiner, fun kleiner -----------------------------------------------------";
walther@60324: "----------- fun eval_kleiner, fun kleiner -----------------------------------------------------";
walther@60325: "a" < "b";
walther@60325: "ba" < "ab";
walther@60325: "123" < "a"; (*unused due to ---vvv*)
walther@60325: "12" < "3"; (*true !!!*)
walther@60325: 
walther@60325: " a kleiner b ==> (b + a) = (a + b)";
walther@60325: TermC.str2term "aaa";
walther@60325: TermC.str2term "222 * aaa";
walther@60325: 
walther@60325: case eval_kleiner 0 0 (TermC.str2term "123 kleiner 32") 0 of
walther@60325:     SOME ("123 kleiner 32 = False", _) => ()
walther@60325:   | _ => error "polyminus.sml: 12 kleiner 9 = False";
walther@60325: case eval_kleiner 0 0 (TermC.str2term "a kleiner b") 0 of
walther@60325:     SOME ("a kleiner b = True", _) => ()
walther@60325:   | _ => error "polyminus.sml: a kleiner b = True";
walther@60325: case eval_kleiner 0 0 (TermC.str2term "(10*g) kleiner f") 0 of
walther@60325:     SOME ("10 * g kleiner f = False", _) => ()
walther@60325:   | _ => error "polyminus.sml: 10 * g kleiner f = False";
walther@60325: case eval_kleiner 0 0 (TermC.str2term "(a \<up> 2) kleiner b") 0 of
walther@60325:     SOME ("a \<up> 2 kleiner b = True", _) => ()
walther@60325:   | _ => error "polyminus.sml: a \<up> 2 kleiner b = True";
walther@60325: case eval_kleiner 0 0 (TermC.str2term "(3*a \<up> 2) kleiner b") 0 of
walther@60325:     SOME ("3 * a \<up> 2 kleiner b = True", _) => ()
walther@60325:   | _ => error "polyminus.sml: 3 * a \<up> 2 kleiner b = True";
walther@60325: case eval_kleiner 0 0 (TermC.str2term "(a*b) kleiner c") 0 of
walther@60325:     SOME ("a * b kleiner c = True", _) => ()
walther@60325:   | _ => error "polyminus.sml: a * b kleiner b = True";
walther@60325: case eval_kleiner 0 0 (TermC.str2term "(3*a*b) kleiner c") 0 of
walther@60325:     SOME ("3 * a * b kleiner c = True", _) => ()
walther@60325:   | _ => error "polyminus.sml: 3 * a * b kleiner b = True";
walther@60325: 
walther@60325: 
walther@60324: val t = TermC.str2term "12 kleiner 5 * e + 6 * f - 8 * g - 9 - 7 * e - 4 * f + 10 * (g::real)";
walther@60324: val SOME ("12 kleiner 5 * e + 6 * f - 8 * g - 9 - 7 * e - 4 * f + 10 * g = True", _) =
walther@60324:            eval_kleiner "aaa" "bbb" t "ccc";
walther@60351: "~~~~~ fun eval_kleiner , args:"; val (_, _, (p as (Const (\<^const_name>\<open>kleiner\<close>,_) $ a $ b)), _) =
walther@60324:   ("aaa", "bbb", t, "ccc");
walther@60324:     (*if*) TermC.is_num b (*else*);
walther@60324: 
walther@60324:    	(*if*) identifier a < identifier b  (*else*);
walther@60324: "~~~~~ fun identifier , args:"; val (t) = (a);
walther@60324: (*+*)case a of
walther@60336:   Const (\<^const_name>\<open>numeral\<close>, _) $ (Const (\<^const_name>\<open>num.Bit0\<close>, _) $
walther@60336:     (Const (\<^const_name>\<open>num.Bit0\<close>, _) $ (Const (\<^const_name>\<open>num.Bit1\<close>, _) $ Const (\<^const_name>\<open>num.One\<close>, _)))) => ()
walther@60325: | _ => error "eval_kleiner CHANGED";                                                 (*isa*)
walther@60325: 
walther@60325: 
walther@60325: "----------- fun ist_monom ---------------------------------------------------------------------";
walther@60325: "----------- fun ist_monom ---------------------------------------------------------------------";
walther@60325: "----------- fun ist_monom ---------------------------------------------------------------------";
walther@60325: val t = TermC.str2term "0 ::real";
walther@60325:  if ist_monom t then () else error "ist_monom 1";
walther@60325: 
walther@60325: val t = TermC.str2term "a";
walther@60325: if ist_monom t then () else error "ist_monom 2";
walther@60325: 
walther@60325: val t = TermC.str2term "2 * a";
walther@60325: if ist_monom t then () else error "ist_monom 3";
walther@60325: 
walther@60325: val t = TermC.str2term "2 * a * b";
walther@60325: if ist_monom t then () else error "ist_monom 4";
walther@60325: 
walther@60325: val t = TermC.str2term "a * b";
walther@60325: if ist_monom t then () else error "ist_monom 5";
walther@60325: 
walther@60325: (*not covered before NEW numerals*)
walther@60325: val t = TermC.str2term "2 * a \<up> 2 * b";
walther@60325: if ist_monom t then () else error "ist_monom 6";
walther@60325: 
walther@60325: (*not covered before NEW numerals*)
walther@60325: val t = TermC.str2term "a \<up> 2 * b \<up> 3";
walther@60325: if ist_monom t then () else error "ist_monom 7";
walther@60325: 
walther@60325: val t = TermC.str2term "a \<up> 2 * 4 * b \<up> 3 * 5";
walther@60325: if ist_monom t then () else error "ist_monom 8";
walther@60324: 
walther@60324: 
neuper@37906: "----------- fun eval_ist_monom ----------------------------------";
neuper@37906: "----------- fun eval_ist_monom ----------------------------------";
neuper@37906: "----------- fun eval_ist_monom ----------------------------------";
walther@60230: case eval_ist_monom 0 0 (TermC.str2term "12 ist_monom") 0 of
neuper@37926:     SOME ("12 ist_monom = True", _) => ()
neuper@38031:   | _ => error "polyminus.sml: 12 ist_monom = True";
neuper@37906: 
walther@60230: case eval_ist_monom 0 0 (TermC.str2term "a ist_monom") 0 of
neuper@37926:     SOME ("a ist_monom = True", _) => ()
neuper@38031:   | _ => error "polyminus.sml: a ist_monom = True";
neuper@37906: 
walther@60230: case eval_ist_monom 0 0 (TermC.str2term "(3*a) ist_monom") 0 of
neuper@37926:     SOME ("3 * a ist_monom = True", _) => ()
neuper@38031:   | _ => error "polyminus.sml: 3 * a ist_monom = True";
neuper@37906: 
walther@60242: case eval_ist_monom 0 0 (TermC.str2term "(a \<up> 2) ist_monom") 0 of 
walther@60242:    SOME ("a \<up> 2 ist_monom = True", _) => ()
walther@60242:   | _ => error "polyminus.sml: a \<up> 2 ist_monom = True";
neuper@37906: 
walther@60242: case eval_ist_monom 0 0 (TermC.str2term "(3*a \<up> 2) ist_monom") 0 of
walther@60242:     SOME ("3 * a \<up> 2 ist_monom = True", _) => ()
walther@60242:   | _ => error "polyminus.sml: 3*a \<up> 2 ist_monom = True";
neuper@37906: 
walther@60230: case eval_ist_monom 0 0 (TermC.str2term "(a*b) ist_monom") 0 of
neuper@37926:     SOME ("a * b ist_monom = True", _) => ()
neuper@38031:   | _ => error "polyminus.sml: a*b ist_monom = True";
neuper@37906: 
walther@60230: case eval_ist_monom 0 0 (TermC.str2term "(3*a*b) ist_monom") 0 of
neuper@37926:     SOME ("3 * a * b ist_monom = True", _) => ()
neuper@38031:   | _ => error "polyminus.sml: 3*a*b ist_monom = True";
neuper@37906: 
neuper@37906: 
neuper@37906: "----------- watch order_add_mult  -------------------------------";
neuper@37906: "----------- watch order_add_mult  -------------------------------";
neuper@37906: "----------- watch order_add_mult  -------------------------------";
neuper@37906: "----- with these simple variables it works...";
Walther@60500: val ctxt = @{context};
walther@60230: val t = TermC.str2term "((a + d) + c) + b";
Walther@60500: val SOME (t,_) = rewrite_set_ ctxt false order_add_mult t; UnparseC.term t;
walther@59868: if UnparseC.term t = "a + (b + (c + d))" then ()
neuper@38031: else error "polyminus.sml 1 watch order_add_mult";
neuper@37906: 
neuper@37906: "----- the same stepwise...";
neuper@41929: val od = ord_make_polynomial true (@{theory "Poly"});
walther@60230: val t = TermC.str2term "((a + d) + c) + b";
neuper@37906: "((a + d) + c) + b"; 
Walther@60500: val SOME (t,_) = rewrite_ ctxt od Rule_Set.empty true @{thm add.commute} t; UnparseC.term t;
neuper@37906: "b + ((a + d) + c)";
Walther@60500: val SOME (t,_) = rewrite_ ctxt od Rule_Set.empty true @{thm add.commute} t; UnparseC.term t;
neuper@37906: "b + (c + (a + d))";
Walther@60500: val SOME (t,_) = rewrite_ ctxt od Rule_Set.empty true @{thm add.left_commute} t;UnparseC.term t;
neuper@37906: "b + (a + (c + d))";
Walther@60500: val SOME (t,_) = rewrite_ ctxt od Rule_Set.empty true @{thm add.left_commute} t;UnparseC.term t;
neuper@37906: "a + (b + (c + d))";
walther@59868: if UnparseC.term t = "a + (b + (c + d))" then ()
neuper@38031: else error "polyminus.sml 2 watch order_add_mult";
neuper@37906: 
neuper@37906: "----- if parentheses are right, left_commute is (almost) sufficient...";
walther@60230: val t = TermC.str2term "a + (d + (c + b))";
neuper@37906: "a + (d + (c + b))";
Walther@60500: val SOME (t,_) = rewrite_ ctxt od Rule_Set.empty true @{thm add.left_commute} t;UnparseC.term t;
neuper@37906: "a + (c + (d + b))";
Walther@60500: val SOME (t,_) = rewrite_ ctxt od Rule_Set.empty true @{thm add.commute} t;UnparseC.term t;
neuper@37906: "a + (c + (b + d))";
Walther@60500: val SOME (t,_) = rewrite_ ctxt od Rule_Set.empty true @{thm add.left_commute} t;UnparseC.term t;
neuper@37906: "a + (b + (c + d))";
neuper@37906: 
neuper@37906: "----- but we do not want the parentheses at right; thus: cond.rew.";
neuper@37906: "WN0712707 complicated monomials do not yet work ...";
walther@60230: val t = TermC.str2term "((5*a + 4*d) + 3*c) + 2*b";
Walther@60500: val SOME (t,_) = rewrite_set_ ctxt false order_add_mult t; UnparseC.term t;
walther@59868: if UnparseC.term t = "2 * b + (3 * c + (4 * d + 5 * a))" then ()
neuper@38031: else error "polyminus.sml: order_add_mult changed";
neuper@37906: 
neuper@37906: "----- here we see rew_sub going into subterm with ord.rew....";
neuper@41929: val od = ord_make_polynomial false (@{theory "Poly"});
walther@60230: val t = TermC.str2term "b + a + c + d";
Walther@60500: val SOME (t,_) = rewrite_ ctxt od Rule_Set.empty false @{thm add.commute} t; UnparseC.term t;
Walther@60500: val SOME (t,_) = rewrite_ ctxt od Rule_Set.empty false @{thm add.commute} t; UnparseC.term t;
neuper@37906: (*@@@ rew_sub gosub: t = d + (b + a + c)
neuper@37906:   @@@ rew_sub begin: t = b + a + c*)
neuper@37906: 
neuper@37906: 
neuper@37906: "----------- build predicate for +- ordering ---------------------";
neuper@37906: "----------- build predicate for +- ordering ---------------------";
neuper@37906: "----------- build predicate for +- ordering ---------------------";
neuper@37906: "a" < "b";
neuper@37906: "ba" < "ab";
neuper@37906: "123" < "a"; (*unused due to ---vvv*)
neuper@37906: "12" < "3"; (*true !!!*)
neuper@37906: 
neuper@37906: " a kleiner b ==> (b + a) = (a + b)";
walther@60230: TermC.str2term "aaa";
walther@60230: TermC.str2term "222 * aaa";
neuper@42390: 
walther@60230: case eval_kleiner 0 0 (TermC.str2term "123 kleiner 32") 0 of
neuper@42390:     SOME ("123 kleiner 32 = False", _) => ()
neuper@38031:   | _ => error "polyminus.sml: 12 kleiner 9 = False";
neuper@42390: 
walther@60230: case eval_kleiner 0 0 (TermC.str2term "a kleiner b") 0 of
neuper@37926:     SOME ("a kleiner b = True", _) => ()
neuper@38031:   | _ => error "polyminus.sml: a kleiner b = True";
neuper@37906: 
walther@60230: case eval_kleiner 0 0 (TermC.str2term "(10*g) kleiner f") 0 of
neuper@37926:     SOME ("10 * g kleiner f = False", _) => ()
neuper@38031:   | _ => error "polyminus.sml: 10 * g kleiner f = False";
neuper@37906: 
walther@60242: case eval_kleiner 0 0 (TermC.str2term "(a \<up> 2) kleiner b") 0 of
walther@60242:     SOME ("a \<up> 2 kleiner b = True", _) => ()
walther@60242:   | _ => error "polyminus.sml: a \<up> 2 kleiner b = True";
neuper@37906: 
walther@60242: case eval_kleiner 0 0 (TermC.str2term "(3*a \<up> 2) kleiner b") 0 of
walther@60242:     SOME ("3 * a \<up> 2 kleiner b = True", _) => ()
walther@60242:   | _ => error "polyminus.sml: 3 * a \<up> 2 kleiner b = True";
neuper@37906: 
walther@60230: case eval_kleiner 0 0 (TermC.str2term "(a*b) kleiner c") 0 of
neuper@37926:     SOME ("a * b kleiner c = True", _) => ()
neuper@38031:   | _ => error "polyminus.sml: a * b kleiner b = True";
neuper@37906: 
walther@60230: case eval_kleiner 0 0 (TermC.str2term "(3*a*b) kleiner c") 0 of
neuper@37926:     SOME ("3 * a * b kleiner c = True", _) => ()
neuper@38031:   | _ => error "polyminus.sml: 3 * a * b kleiner b = True";
neuper@37906: 
neuper@42390: "======= compare tausche_plus with real_num_collect";
Walther@60509: val od = Rewrite_Ord.function_empty;
neuper@37906: 
neuper@37906: val erls = erls_ordne_alphabetisch;
walther@60230: val t = TermC.str2term "b + a";
Walther@60500: val SOME (t,_) = rewrite_ ctxt od erls false @{thm tausche_plus} t; UnparseC.term t;
walther@59868: if UnparseC.term t = "a + b" then ()
neuper@38031: else error "polyminus.sml: ordne_alphabetisch1 b + a";
neuper@37906: 
neuper@37906: val erls = Atools_erls;
walther@60230: val t = TermC.str2term "2*a + 3*a";
Walther@60500: val SOME (t,_) = rewrite_ ctxt od erls false @{thm real_num_collect} t; UnparseC.term t;
neuper@37906: 
neuper@42390: "======= test rewrite_, rewrite_set_";
walther@59901: (*Rewrite.trace_on := true; ..stopped Test_Isac.thy*)
neuper@37906: val erls = erls_ordne_alphabetisch;
walther@60230: val t = TermC.str2term "b + a";
Walther@60500: val SOME (t,_) = rewrite_set_ ctxt false ordne_alphabetisch t; UnparseC.term t;
walther@59868: if UnparseC.term t = "a + b" then ()
neuper@38031: else error "polyminus.sml: ordne_alphabetisch a + b";
neuper@37906: 
walther@60230: val t = TermC.str2term "2*b + a";
Walther@60500: val SOME (t,_) = rewrite_set_ ctxt false ordne_alphabetisch t; UnparseC.term t;
walther@59868: if UnparseC.term t = "a + 2 * b" then ()
neuper@38031: else error "polyminus.sml: ordne_alphabetisch a + 2 * b";
neuper@37906: 
walther@60230: val t = TermC.str2term "a + c + b";
Walther@60500: val SOME (t,_) = rewrite_set_ ctxt false ordne_alphabetisch t; UnparseC.term t;
walther@59868: if UnparseC.term t = "a + b + c" then ()
neuper@38031: else error "polyminus.sml: ordne_alphabetisch a + b + c";
neuper@37906: 
neuper@42390: "======= rewrite goes into subterms";
walther@60325: val t = TermC.str2term "a + c + b + d ::real";
Walther@60500: val SOME (t,_) = rewrite_ ctxt od erls false @{thm tausche_plus_plus} t; UnparseC.term t;
walther@59868: if UnparseC.term t = "a + b + c + d" then ()
neuper@38031: else error "polyminus.sml: ordne_alphabetisch1 a + b + c + d";
neuper@37906: 
walther@60230: val t = TermC.str2term "a + c + d + b";
Walther@60500: val SOME (t,_) = rewrite_set_ ctxt false ordne_alphabetisch t; UnparseC.term t;
walther@59868: if UnparseC.term t = "a + b + c + d" then ()
neuper@38031: else error "polyminus.sml: ordne_alphabetisch2 a + b + c + d";
neuper@37906: 
neuper@42390: "======= here we see rew_sub going into subterm with cond.rew....";
walther@60230: val t = TermC.str2term "b + a + c + d";
Walther@60500: val SOME (t,_) = rewrite_ ctxt od erls false @{thm tausche_plus} t; UnparseC.term t;
walther@59868: if UnparseC.term t = "a + b + c + d" then ()
neuper@38031: else error "polyminus.sml: ordne_alphabetisch3 a + b + c + d";
neuper@37906: 
neuper@42390: "======= compile rls for the most complicated terms";
walther@60230: val t = TermC.str2term "5*e + 6*f - 8*g - 9 - 7*e - 4*f + 10*g + 12";
neuper@37906: "5 * e + 6 * f - 8 * g - 9 - 7 * e - 4 * f + 10 * g + 12";
Walther@60500: val SOME (t,_) = rewrite_set_ ctxt false ordne_alphabetisch t; 
walther@59868: if UnparseC.term t = "- 9 + 12 + 5 * e - 7 * e + 6 * f - 4 * f - 8 * g + 10 * g"
neuper@38031: then () else error "polyminus.sml: ordne_alphabetisch finished";
walther@60352: 
neuper@37906: 
neuper@37906: 
neuper@37906: "----------- build fasse_zusammen --------------------------------";
neuper@37906: "----------- build fasse_zusammen --------------------------------";
neuper@37906: "----------- build fasse_zusammen --------------------------------";
walther@60230: val t = TermC.str2term "- 9 + 12 + 5 * e - 7 * e + 6 * f - 4 * f - 8 * g + 10 * g";
Walther@60500: val SOME (t,_) = rewrite_set_ ctxt false fasse_zusammen t;
walther@60325: if UnparseC.term t = "3 + - 2 * e + 2 * f + 2 * g" then ()
neuper@38031: else error "polyminus.sml: fasse_zusammen finished";
neuper@37906: 
neuper@37906: "----------- build verschoenere ----------------------------------";
neuper@37906: "----------- build verschoenere ----------------------------------";
neuper@37906: "----------- build verschoenere ----------------------------------";
walther@60329: val t = TermC.str2term "3 + - 2 * e + 2 * f + 2 * g";
Walther@60500: val SOME (t,_) = rewrite_set_ ctxt false verschoenere t;
walther@59868: if UnparseC.term t = "3 - 2 * e + 2 * f + 2 * g" then ()
walther@60329: else error "polyminus.sml: verschoenere 3 + - 2 * e ...";
neuper@37906: 
neuper@37906: 
neuper@37906: "----------- met simplification for_polynomials with_minus -------";
neuper@37906: "----------- met simplification for_polynomials with_minus -------";
neuper@37906: "----------- met simplification for_polynomials with_minus -------";
neuper@37906: val str = 
wneuper@59585: "Program SimplifyScript (t_t::real) =                \
walther@59637: \  (((Try (Rewrite_Set ordne_alphabetisch False)) #>     \
walther@59637: \    (Try (Rewrite_Set fasse_zusammen False)) #>     \
neuper@38080: \    (Try (Rewrite_Set verschoenere False))) t_t)"
Walther@60424: val sc = (inst_abs o (TermC.parseNEW' ctxt)) str;
walther@60230: TermC.atomty sc;
neuper@37906: 
neuper@38080: "----------- me simplification.for_polynomials.with_minus";
neuper@38080: "----------- me simplification.for_polynomials.with_minus";
neuper@38080: "----------- me simplification.for_polynomials.with_minus";
neuper@38080: val c = [];
neuper@38080: val (p,_,f,nxt,_,pt) = 
neuper@38080:       CalcTreeTEST 
neuper@38083:         [(["Term (5*e + 6*f - 8*g - 9 - 7*e - 4*f + 10*g + 12)",
neuper@38080:            "normalform N"],
walther@59997: 	          ("PolyMinus",["plus_minus", "polynom", "vereinfachen"],
walther@59997: 	           ["simplification", "for_polynomials", "with_minus"]))];
neuper@38080: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@38085: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@38085: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@38085: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@38085: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@38085: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: 
neuper@38085: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@38085: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@38085: val (p,_,f,nxt,_,pt) = me nxt p c pt;
walther@60351: val (p,_,f,nxt,_,pt) = me nxt p c pt;
walther@60351: val (p,_,f,nxt,_,pt) = me nxt p c pt;
walther@60351: if f2str f = "3 - 2 * e + 2 * f + 2 * g" 
walther@59749: then case nxt of End_Proof' => () | _ =>  error "me simplification.for_polynomials.with_minus 1"
walther@59749: else error "polyminus.sml: me simplification.for_polynomials.with_minus 2";
neuper@38085: 
neuper@37906: "----------- pbl polynom vereinfachen p.33 -----------------------";
neuper@37906: "----------- pbl polynom vereinfachen p.33 -----------------------";
neuper@37906: "----------- pbl polynom vereinfachen p.33 -----------------------";
neuper@37906: "----------- 140 c ---";
s1210629013@55445: reset_states ();
neuper@38083: CalcTree [(["Term (5*e + 6*f - 8*g - 9 - 7*e - 4*f + 10*g + 12)",
neuper@37906: 	    "normalform N"],
walther@59997: 	   ("PolyMinus",["plus_minus", "polynom", "vereinfachen"],
walther@59997: 	    ["simplification", "for_polynomials", "with_minus"]))];
neuper@37906: moveActiveRoot 1;
wneuper@59248: autoCalculate 1 CompleteCalc;
walther@59983: val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
neuper@37906: if p = ([], Res) andalso 
walther@59868:    UnparseC.term (get_obj g_res pt (fst p)) = "3 - 2 * e + 2 * f + 2 * g"
neuper@38031: then () else error "polyminus.sml: Vereinfache (3 - 2 * e + 2 * f...";
neuper@37906: 
neuper@42390: "======= 140 d ---";
s1210629013@55445: reset_states ();
neuper@38083: CalcTree [(["Term (-r - 2*s - 3*t + 5 + 4*r + 8*s - 5*t - 2)",
neuper@37906: 	    "normalform N"],
walther@59997: 	   ("PolyMinus",["plus_minus", "polynom", "vereinfachen"],
walther@59997: 	    ["simplification", "for_polynomials", "with_minus"]))];
neuper@37906: moveActiveRoot 1;
wneuper@59248: autoCalculate 1 CompleteCalc;
walther@59983: val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
neuper@37906: if p = ([], Res) andalso 
walther@59868:    UnparseC.term (get_obj g_res pt (fst p)) = "3 + 3 * r + 6 * s - 8 * t"
neuper@38031: then () else error "polyminus.sml: Vereinfache 140 d)";
neuper@37906: 
neuper@42390: "======= 139 c ---";
s1210629013@55445: reset_states ();
neuper@38083: CalcTree [(["Term (3*e - 6*f - 8*e - 4*f + 5*e + 7*f)",
neuper@37906: 	    "normalform N"],
walther@59997: 	   ("PolyMinus",["plus_minus", "polynom", "vereinfachen"],
walther@59997: 	    ["simplification", "for_polynomials", "with_minus"]))];
neuper@37906: moveActiveRoot 1;
wneuper@59248: autoCalculate 1 CompleteCalc;
walther@59983: val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
neuper@37906: if p = ([], Res) andalso 
walther@59868:    UnparseC.term (get_obj g_res pt (fst p)) = "- (3 * f)"
neuper@38031: then () else error "polyminus.sml: Vereinfache 139 c)";
neuper@37906: 
neuper@42390: "======= 139 b ---";
s1210629013@55445: reset_states ();
neuper@38083: CalcTree [(["Term (8*u - 5*v - 5*u + 7*v - 6*u - 3*v)",
neuper@37906: 	    "normalform N"],
walther@59997: 	   ("PolyMinus",["plus_minus", "polynom", "vereinfachen"],
walther@59997: 	    ["simplification", "for_polynomials", "with_minus"]))];
neuper@37906: moveActiveRoot 1;
wneuper@59248: autoCalculate 1 CompleteCalc;
walther@59983: val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
neuper@37906: if p = ([], Res) andalso 
walther@60325:    UnparseC.term (get_obj g_res pt (fst p)) = "- 3 * u - v"
neuper@38031: then () else error "polyminus.sml: Vereinfache 139 b)";
neuper@37906: 
neuper@42390: "======= 138 a ---";
s1210629013@55445: reset_states ();
neuper@38083: CalcTree [(["Term (2*u - 3*v - 6*u + 5*v)",
neuper@37906: 	    "normalform N"],
walther@59997: 	   ("PolyMinus",["plus_minus", "polynom", "vereinfachen"],
walther@59997: 	    ["simplification", "for_polynomials", "with_minus"]))];
neuper@37906: moveActiveRoot 1;
wneuper@59248: autoCalculate 1 CompleteCalc;
walther@59983: val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
neuper@37906: if p = ([], Res) andalso 
walther@60325:    UnparseC.term (get_obj g_res pt (fst p)) = "- 4 * u + 2 * v"
neuper@38031: then () else error "polyminus.sml: Vereinfache 138 a)";
neuper@37906: 
neuper@37906: "----------- met probe fuer_polynom ------------------------------";
neuper@37906: "----------- met probe fuer_polynom ------------------------------";
neuper@37906: "----------- met probe fuer_polynom ------------------------------";
neuper@37906: val str = 
wneuper@59585: "Program ProbeScript (e_e::bool) (w_s::bool list) =\
neuper@37991: \ (let e_e = Take e_e;                             \
neuper@38085: \      e_e = Substitute w_s e_e                    \
walther@59637: \ in (Repeat((Try (Repeat (Calculate ''TIMES''))) #>  \
walther@59637: \            (Try (Repeat (Calculate ''PLUS''))) #>  \
wneuper@59488: \            (Try (Repeat (Calculate ''MINUS''))))) e_e)"
Walther@60424: val sc = (inst_abs o (TermC.parseNEW' ctxt)) str;
walther@60230: TermC.atomty sc;
neuper@37906: 
neuper@37906: "----------- pbl polynom probe -----------------------------------";
neuper@37906: "----------- pbl polynom probe -----------------------------------";
neuper@37906: "----------- pbl polynom probe -----------------------------------";
s1210629013@55445: reset_states ();
bonzai@41949: CalcTree [(["Pruefe ((5::int)*e + 6*f - 8*g - 9 - 7*e - 4*f + 10*g + 12 =\
wneuper@59582: 	    \3 - 2 * e + 2 * f + 2 * (g::int))",
wneuper@59582: 	    "mitWert [e = (1::int), f = (2::int), g = (3::int)]",
neuper@37906: 	    "Geprueft b"],
walther@59997: 	   ("PolyMinus",["polynom", "probe"],
walther@59997: 	    ["probe", "fuer_polynom"]))];
neuper@37906: moveActiveRoot 1;
wneuper@59248: autoCalculate 1 CompleteCalc;
wneuper@59248: (* autoCalculate 1 CompleteCalcHead;
walther@59747:    autoCalculate 1 (Steps 1);
walther@59747:    autoCalculate 1 (Steps 1);
walther@59868:    val ((pt,p),_) = get_calc 1; UnparseC.term (get_obj g_res pt (fst p));
neuper@37906: @@@@@WN081114 gives "??.empty", all "Pruefe" are the same,
neuper@37906: although analogies work in interface.sml: FIXME.WN081114 in "Pruefe"*)
neuper@37906: val ((pt,p),_) = get_calc 1;
walther@59868: if p = ([], Res) andalso UnparseC.term (get_obj g_res pt (fst p)) = "11 = 11"
neuper@38031: then () else error "polyminus.sml: Probe 11 = 11";
walther@59983: Test_Tool.show_pt pt;
t@42115: 
walther@60352: 
neuper@37906: "----------- pbl klammer polynom vereinfachen p.34 ---------------";
neuper@37906: "----------- pbl klammer polynom vereinfachen p.34 ---------------";
neuper@37906: "----------- pbl klammer polynom vereinfachen p.34 ---------------";
s1210629013@55445: reset_states ();
neuper@38083: CalcTree [(["Term (2*u - 5 - (3 - 4*u) + (8*u + 9))",
neuper@37906: 	    "normalform N"],
walther@59997: 	   ("PolyMinus",["klammer", "polynom", "vereinfachen"],
walther@59997: 	    ["simplification", "for_polynomials", "with_parentheses"]))];
neuper@37906: moveActiveRoot 1;
wneuper@59248: autoCalculate 1 CompleteCalc;
neuper@37906: val ((pt,p),_) = get_calc 1;
neuper@37906: if p = ([], Res) andalso 
walther@59868:    UnparseC.term (get_obj g_res pt (fst p)) = "1 + 14 * u"
neuper@38031: then () else error "polyminus.sml: Vereinfache (2*u - 5 - (3 - ...";
walther@59983: Test_Tool.show_pt pt;
neuper@37906: 
neuper@42390: "======= probe p.34 -----";
s1210629013@55445: reset_states ();
wneuper@59582: CalcTree [(["Pruefe (2*u - 5 - (3 - 4*u) + (8*u + 9) = 1 + 14 * (u::int))",
wneuper@59582: 	    "mitWert [u = (2::int)]",
neuper@37906: 	    "Geprueft b"],
walther@59997: 	   ("PolyMinus",["polynom", "probe"],
walther@59997: 	    ["probe", "fuer_polynom"]))];
neuper@37906: moveActiveRoot 1;
wneuper@59248: autoCalculate 1 CompleteCalc;
neuper@37906: val ((pt,p),_) = get_calc 1;
walther@59868: if p = ([], Res) andalso UnparseC.term (get_obj g_res pt (fst p)) = "29 = 29"
neuper@38031: then () else error "polyminus.sml: Probe 29 = 29";
walther@59983: Test_Tool.show_pt pt;
neuper@37906: 
walther@60352: 
neuper@37906: "----------- try fun applyTactics --------------------------------";
neuper@37906: "----------- try fun applyTactics --------------------------------";
neuper@37906: "----------- try fun applyTactics --------------------------------";
s1210629013@55445: reset_states ();
neuper@38083: CalcTree [(["Term (5*e + 6*f - 8*g - 9 - 7*e - 4*f + 10*g + 12)",
neuper@37906: 	    "normalform N"],
walther@59997: 	   ("PolyMinus",["plus_minus", "polynom", "vereinfachen"],
walther@59997: 	    ["simplification", "for_polynomials", "with_minus"]))];
neuper@37906: moveActiveRoot 1;
wneuper@59248: autoCalculate 1 CompleteCalcHead;
walther@59747: autoCalculate 1 (Steps 1);
walther@59747: autoCalculate 1 (Steps 1);
walther@59983: val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
walther@60242: "----- 1  \<up> ";
neuper@37906: fetchApplicableTactics 1 0 p;
walther@59823: val appltacs = specific_from_prog pt p;
neuper@37906: applyTactic 1 p (hd appltacs) (*addiere_x_plus_minus*);
walther@59983: val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
walther@60242: "----- 2  \<up> ";
walther@59901: (*Rewrite.trace_on := true; ..stopped Test_Isac.thy*)
neuper@37906: val erls = erls_ordne_alphabetisch;
walther@60230: val t = TermC.str2term "- 9 + 12 + 5 * e - 7 * e + (6 - 4) * f - 8 * g + 10 * g";
neuper@37926: val SOME (t',_) = 
Walther@60509:     rewrite_ ctxt Rewrite_Ord.function_empty erls false @{thm tausche_minus} t;
walther@59868: UnparseC.term t';     "- 9 + 12 + 5 * e - 7 * e + (- 4 + 6) * f - 8 * g + 10 * g";
neuper@37906: 
walther@60230: val t = TermC.str2term "- 9 + 12 + 5 * e - 7 * e + (6 - 4) * f - 8 * g + 10 * g";
neuper@37926: val NONE = 
Walther@60509:     rewrite_ ctxt Rewrite_Ord.function_empty erls false @{thm tausche_minus_plus} t;
neuper@37906: 
walther@60230: val t = TermC.str2term "- 9 + 12 + 5 * e - 7 * e + (6 - 4) * f - 8 * g + 10 * g";
neuper@37926: val SOME (t',_) = 
Walther@60500:     rewrite_set_ ctxt false ordne_alphabetisch t;
walther@59868: UnparseC.term t';     "- 9 + 12 + 5 * e - 7 * e - 8 * g + 10 * g + (- 4 + 6) * f";
neuper@37906: 
neuper@37906: 
walther@59823: applyTactic 1 p (hd (specific_from_prog pt p)) (*tausche_minus*);
walther@59983: val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
walther@60242: "----- 3  \<up> ";
walther@59823: applyTactic 1 p (hd (specific_from_prog pt p)) (**);
walther@59983: val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
walther@60242: "----- 4  \<up> ";
walther@59823: applyTactic 1 p (hd (specific_from_prog pt p)) (**);
walther@59983: val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
walther@60242: "----- 5  \<up> ";
walther@59823: applyTactic 1 p (hd (specific_from_prog pt p)) (**);
walther@59983: val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
walther@60242: "----- 6  \<up> ";
neuper@37906: 
neuper@37906: (*<CALCMESSAGE> failure </CALCMESSAGE>
walther@59823: applyTactic 1 p (hd (specific_from_prog pt p)) (**);
walther@59983: val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
walther@60242: "----- 7  \<up> ";
neuper@37906: *)
wneuper@59248: autoCalculate 1 CompleteCalc;
walther@59983: val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
neuper@37906: (*independent from failure above: met_simp_poly_minus not confluent:
neuper@37906: (([9], Res), - (8 * g) + 10 * g + (3 - 2 * e + 2 * f)),
neuper@37906: (([], Res), - (8 * g) + 10 * g + (3 - 2 * e + 2 * f))]
neuper@37906: ~~~~~~~~~~~###~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~*)
walther@60352: val ([], Res) = p;
walther@60352: val "2 * g + (3 - 2 * e + 2 * f)" = get_obj g_res pt (fst p) |> UnparseC.term;
walther@60352: (* ---------^^^--- not quite perfect*)
t@42115: 
neuper@37906: 
neuper@42107: "#############################################################################";
s1210629013@55445: reset_states ();
neuper@38083: CalcTree [(["Term (- (8 * g) + 10 * g + h)",
neuper@37906: 	    "normalform N"],
walther@59997: 	   ("PolyMinus",["plus_minus", "polynom", "vereinfachen"],
walther@59997: 	    ["simplification", "for_polynomials", "with_minus"]))];
neuper@37906: moveActiveRoot 1;
wneuper@59248: autoCalculate 1 CompleteCalc;
walther@59983: val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
walther@59868: if p = ([], Res) andalso UnparseC.term (get_obj g_res pt (fst p)) = "2 * g + h"
neuper@38031: then () else error "polyminus.sml: addiere_vor_minus";
neuper@37906: 
neuper@37906: 
neuper@42107: "#############################################################################";
s1210629013@55445: reset_states ();
neuper@38083: CalcTree [(["Term (- (8 * g) + 10 * g + f)",
neuper@37906: 	    "normalform N"],
walther@59997: 	   ("PolyMinus",["plus_minus", "polynom", "vereinfachen"],
walther@59997: 	    ["simplification", "for_polynomials", "with_minus"]))];
neuper@37906: moveActiveRoot 1;
wneuper@59248: autoCalculate 1 CompleteCalc;
walther@59983: val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
walther@59868: if p = ([], Res) andalso UnparseC.term (get_obj g_res pt (fst p)) = "f + 2 * g"
neuper@38031: then () else error "polyminus.sml: tausche_vor_plus";
neuper@37906: 
neuper@37906: "----------- pbl binom polynom vereinfachen p.39 -----------------";
neuper@37906: "----------- pbl binom polynom vereinfachen p.39 -----------------";
neuper@37906: "----------- pbl binom polynom vereinfachen p.39 -----------------";
walther@60333: val thy = @{theory};
neuper@37906: val rls = klammern_ausmultiplizieren;
walther@60333: val t = TermC.str2term "(3 * a + 2) * (4 * a - 1::real)";
Walther@60500: val SOME (t,_) = rewrite_set_ ctxt false rls t; UnparseC.term t;
neuper@37906: "3 * a * (4 * a) - 3 * a * 1 + (2 * (4 * a) - 2 * 1)";
neuper@37906: val rls = discard_parentheses;
Walther@60500: val SOME (t,_) = rewrite_set_ ctxt false rls t; UnparseC.term t;
neuper@37906: "3 * a * 4 * a - 3 * a * 1 + (2 * 4 * a - 2 * 1)";
neuper@37906: val rls = ordne_monome;
Walther@60500: val SOME (t,_) = rewrite_set_ ctxt false rls t; UnparseC.term t;
neuper@37906: "3 * 4 * a * a - 1 * 3 * a + (2 * 4 * a - 1 * 2)";
neuper@37906: (*
walther@60230: val t = TermC.str2term "3 * a * 4 * a";
neuper@37906: val rls = ordne_monome;
Walther@60500: val SOME (t,_) = rewrite_set_ ctxt false rls t; UnparseC.term t;
neuper@37906: *)
neuper@37906: val rls = klammern_aufloesen;
Walther@60500: val SOME (t,_) = rewrite_set_ ctxt false rls t; UnparseC.term t;
neuper@37906: "3 * 4 * a * a - 1 * 3 * a + 2 * 4 * a - 1 * 2";
neuper@37906: val rls = ordne_alphabetisch;
neuper@37906: (*TODO: make is_monom more general, a*a=a^2, ...*)
Walther@60500: val SOME (t,_) = rewrite_set_ ctxt false rls t; UnparseC.term t;
neuper@37906: "3 * 4 * a * a - 1 * 2 - 1 * 3 * a + 2 * 4 * a";
neuper@41977: (*STOPPED.WN080104
neuper@37906: val rls = fasse_zusammen;
Walther@60500: val SOME (t,_) = rewrite_set_ ctxt false rls t; UnparseC.term t;
neuper@37906: val rls = verschoenere;
Walther@60500: val SOME (t,_) = rewrite_set_ ctxt false rls t; UnparseC.term t;
neuper@37906: *)
neuper@37906: 
neuper@37906: (*@@@@@@@*)
s1210629013@55445: reset_states ();
neuper@38083: CalcTree [(["Term ((3*a + 2) * (4*a - 1))",
neuper@37906: 	    "normalform N"],
walther@59997: 	   ("PolyMinus",["binom_klammer", "polynom", "vereinfachen"],
walther@59997: 	    ["simplification", "for_polynomials", "with_parentheses_mult"]))];
neuper@37906: moveActiveRoot 1;
wneuper@59248: autoCalculate 1 CompleteCalc;
walther@59983: val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
walther@60325: 
walther@60325: if p = ([], Res) andalso
walther@60325:    UnparseC.term (get_obj g_res pt (fst p)) =(*"- 2 + 12 * a \<up> 2 + 5 * a" with OLD numerals*)
walther@60325:                                                "- 2 + 5 * a + 12 * a \<up> 2"
neuper@38031: then () else error "polyminus.sml: Vereinfache (2*u - 5 - (3 - ...";
t@42111: 
neuper@37906: "----------- pbl binom polynom vereinfachen: cube ----------------";
neuper@37906: "----------- pbl binom polynom vereinfachen: cube ----------------";
neuper@37906: "----------- pbl binom polynom vereinfachen: cube ----------------";
s1210629013@55445: reset_states ();
neuper@38083: CalcTree [(["Term (8*(a - q) + a - 2*q + 3*(a - 2*q))", "normalform N"],
walther@59997: 	   ("PolyMinus",["binom_klammer", "polynom", "vereinfachen"],
walther@59997: 	    ["simplification", "for_polynomials", "with_parentheses_mult"]))];
neuper@37906: moveActiveRoot 1;
wneuper@59248: autoCalculate 1 CompleteCalc;
walther@59983: val ((pt,p),_) = get_calc 1; Test_Tool.show_pt pt;
walther@59868: if p = ([], Res) andalso UnparseC.term (get_obj g_res pt (fst p)) = "12 * a - 16 * q" 
neuper@42107: then () else error "pbl binom polynom vereinfachen: cube";
neuper@37906: 
walther@59968: "----------- Refine.refine Vereinfache ----------------------------------";
walther@59968: "----------- Refine.refine Vereinfache ----------------------------------";
walther@59968: "----------- Refine.refine Vereinfache ----------------------------------";
neuper@42390: val fmz = ["Term (8*(a - q) + a - 2*q + 3*(a - 2*(q::real)))", "normalform (N::real)"];
wneuper@59348: (*default_print_depth 11;*)
wenzelm@60237: val matches = Refine.refine fmz ["vereinfachen"];
wneuper@59348: (*default_print_depth 3;*)
neuper@37906: 
neuper@37906: "----- go into details, if it seems not to work -----";
neuper@37906: "--- does the predicate evaluate correctly ?";
walther@60230: val t = TermC.str2term 
neuper@42390: 	    "matchsub (?a * (?b - ?c)) (8 * (a - q) + a - 2 * q + 3 * (a - 2 * (q::real)))";
Walther@60504: val ma = eval_matchsub "" "Prog_Expr.matchsub" t ctxt;
neuper@37906: case ma of
neuper@37926:     SOME ("matchsub (?a * (?b - ?c)) (8 * (a - q) + \
neuper@37906: 	  \a - 2 * q + 3 * (a - 2 * q)) = True", _) => ()
neuper@38031:   | _ => error "polyminus.sml matchsub (?a * (?b - ?c)...A";
neuper@37906: 
neuper@37906: "--- does the respective prls rewrite ?";
walther@59852: val prls = Rule_Set.append_rules "prls_pbl_vereinf_poly" Rule_Set.empty 
walther@60278: 	     [Eval ("Poly.is_polyexp", eval_is_polyexp ""),
walther@59878: 	      Eval ("Prog_Expr.matchsub", eval_matchsub ""),
neuper@38085: 	      Thm ("or_true",@{thm or_true}),
neuper@37906: 	      (*"(?a | True) = True"*)
neuper@38085: 	      Thm ("or_false",@{thm or_false}),
neuper@37906: 	      (*"(?a | False) = ?a"*)
walther@60337: 	      Thm ("not_true", @{thm not_true}),
neuper@37906: 	      (*"(~ True) = False"*)
walther@60337: 	      Thm ("not_false", @{thm not_false})
neuper@37906: 	      (*"(~ False) = True"*)];
walther@59901: (*Rewrite.trace_on := true; ..stopped Test_Isac.thy*)
Walther@60500: val SOME (t', _) = rewrite_set_ ctxt false prls t;
neuper@37906: 
neuper@37906: "--- does the respective prls rewrite the whole predicate ?";
walther@60230: val t = TermC.str2term 
neuper@37906: 	    "Not (matchsub (?a * (?b + ?c)) (8 * (a - q) + a - 2 * q) | \
neuper@37906: 	    \     matchsub (?a * (?b - ?c)) (8 * (a - q) + a - 2 * q) | \
neuper@37906: 	    \     matchsub ((?b + ?c) * ?a) (8 * (a - q) + a - 2 * q) | \
neuper@37906: 	    \     matchsub ((?b - ?c) * ?a) (8 * (a - q) + a - 2 * q) )";
walther@59901: (*Rewrite.trace_on := true; ..stopped Test_Isac.thy*)
Walther@60500: val SOME (t', _) = rewrite_set_ ctxt false prls t;
walther@59868: if UnparseC.term t' = "False" then ()
neuper@38031: else error "polyminus.sml Not (matchsub (?a * (?b + ?c)) (8 ...";
neuper@37906: 
walther@59973: "----------- *** Problem.prep_input: syntax error in '#Where' of [v";
walther@59973: "----------- *** Problem.prep_input: syntax error in '#Where' of [v";
walther@59973: "----------- *** Problem.prep_input: syntax error in '#Where' of [v";
neuper@38037: (*see test/../termC.sml for details*)
walther@60230: val t = TermC.parse_patt thy "t_t is_polyexp";
walther@60230: val t = TermC.parse_patt thy ("Not (matchsub (?a + (?b + ?c)) t_t | " ^
neuper@38037: 	                "     matchsub (?a + (?b - ?c)) t_t | " ^
neuper@38037: 	                "     matchsub (?a - (?b + ?c)) t_t | " ^
neuper@38037: 	                "     matchsub (?a + (?b - ?c)) t_t )");
neuper@42390: (*show_types := true;
walther@59868: if UnparseC.term t = "~ (matchsub ((?a::real) + ((?b::real) + (?c::real))) (t_t::real) |\n   matchsub (?a + (?b - ?c)) t_t |\n   matchsub (?a - (?b + ?c)) t_t | matchsub (?a + (?b - ?c)) t_t)"
neuper@38038: then () else error "polyminus.sml type-structure of \"?a :: real\" changed 1";
neuper@42390: show_types := false;*)
walther@59868: if UnparseC.term t =
wneuper@59371:   "\<not> (matchsub (?a + (?b + ?c)) t_t \<or>\n        " ^
wneuper@59371:   "matchsub (?a + (?b - ?c)) t_t \<or>\n        " ^
wneuper@59371:   "matchsub (?a - (?b + ?c)) t_t \<or> " ^
wneuper@59371:   "matchsub (?a + (?b - ?c)) t_t)"
neuper@42390: then () else error "polyminus.sml type-structure of \"?a :: real\" changed 1";
neuper@37906: