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(* tests on PolyMinus
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author: Walther Neuper
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WN071207,
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(c) due to copyright terms
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use"../smltest/IsacKnowledge/polyminus.sml";
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use"polyminus.sml";
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*)
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val thy = EqSystem.thy;
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"-----------------------------------------------------------------";
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"table of contents -----------------------------------------------";
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"-----------------------------------------------------------------";
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"----------- watch order_add_mult -------------------------------";
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"----------- build predicate for +- ordering ---------------------";
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"-----------------------------------------------------------------";
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"-----------------------------------------------------------------";
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"-----------------------------------------------------------------";
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"----------- watch order_add_mult -------------------------------";
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"----------- watch order_add_mult -------------------------------";
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"----------- watch order_add_mult -------------------------------";
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"----- with these simple variables it works...";
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trace_rewrite:=true;
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val t = str2term "((a + d) + c) + b";
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val Some (t,_) = rewrite_set_ thy false order_add_mult t; term2str t;
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if term2str t = "a + (b + (c + d))" then ()
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else raise error "polyminus.sml 1 watch order_add_mult";
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trace_rewrite:=false;
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"----- the same stepwise...";
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val od = ord_make_polynomial true Poly.thy;
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val t = str2term "((a + d) + c) + b";
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"((a + d) + c) + b";
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val Some (t,_) = rewrite_ thy od e_rls true real_add_commute t; term2str t;
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"b + ((a + d) + c)";
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val Some (t,_) = rewrite_ thy od e_rls true real_add_commute t; term2str t;
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"b + (c + (a + d))";
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val Some (t,_) = rewrite_ thy od e_rls true real_add_left_commute t;term2str t;
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"b + (a + (c + d))";
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val Some (t,_) = rewrite_ thy od e_rls true real_add_left_commute t;term2str t;
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"a + (b + (c + d))";
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if term2str t = "a + (b + (c + d))" then ()
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else raise error "polyminus.sml 2 watch order_add_mult";
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"----- if parentheses are right, left_commute is (almost) sufficient...";
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val t = str2term "a + (d + (c + b))";
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"a + (d + (c + b))";
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val Some (t,_) = rewrite_ thy od e_rls true real_add_left_commute t;term2str t;
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"a + (c + (d + b))";
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val Some (t,_) = rewrite_ thy od e_rls true real_add_commute t;term2str t;
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"a + (c + (b + d))";
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val Some (t,_) = rewrite_ thy od e_rls true real_add_left_commute t;term2str t;
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"a + (b + (c + d))";
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"----- but we do not want the parentheses at right; thus: cond.rew.";
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"WN0712707 complicated monomials do not yet work ...";
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val t = str2term "((5*a + 4*d) + 3*c) + 2*b";
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val Some (t,_) = rewrite_set_ thy false order_add_mult t; term2str t;
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if term2str t = "2 * b + (3 * c + (4 * d + 5 * a))" then ()
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else raise error "polyminus.sml: order_add_mult changed";
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"----- here we see rew_sub going into subterm with ord.rew....";
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val od = ord_make_polynomial false Poly.thy;
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val t = str2term "b + a + c + d";
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val Some (t,_) = rewrite_ thy od e_rls false real_add_commute t; term2str t;
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val Some (t,_) = rewrite_ thy od e_rls false real_add_commute t; term2str t;
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(*@@@ rew_sub gosub: t = d + (b + a + c)
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@@@ rew_sub begin: t = b + a + c*)
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(*#####################################################################
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"----------- build predicate for +- ordering ---------------------";
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"----------- build predicate for +- ordering ---------------------";
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"----------- build predicate for +- ordering ---------------------";
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"a" < "b";
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"ba" < "ab";
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"123" < "a"; (*unused due to ---vvv*)
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"12" < "3"; (*true !!!*)
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" a kleiner b ==> (b + a) = (a + b)";
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str2term "aaa";
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str2term "222 * aaa";
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case eval_kleiner 0 0 (str2term "12 kleiner 9") 0 of
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Some ("12 kleiner 9 = False", _) => ()
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| _ => raise error "polyminus.sml: 12 kleiner 9 = False";
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case eval_kleiner 0 0 (str2term "a kleiner b") 0 of
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Some ("a kleiner b = True", _) => ()
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| _ => raise error "polyminus.sml: a kleiner b = True";
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"----- test rewrite_, rewrite_set_";
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val od = dummy_ord;
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val erls = erls_ordne_alphabetisch;
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val t = str2term "b + a";
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"############################################";
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val Some (t,_) = rewrite_ thy od erls false tausche_plus t; term2str t;
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if term2str t = "a + b" then ()
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else raise error "polyminus.sml: ordne_alphabetisch1 b + a";
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trace_rewrite:=true;
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val t = str2term "b + a";
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val Some (t,_) = rewrite_set_ thy false ordne_alphabetisch t; term2str t;
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if term2str t = "a + b" then ()
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else raise error "polyminus.sml: ordne_alphabetisch a + b";
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val t = str2term "2*b + a";
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val Some (t,_) = rewrite_set_ thy false ordne_alphabetisch t; term2str t;
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if term2str t = "a + 2 * b" then ()
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else raise error "polyminus.sml: ordne_alphabetisch a + 2 * b";
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val t = str2term "a + c + b";
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val Some (t,_) = rewrite_set_ thy false ordne_alphabetisch t; term2str t;
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if term2str t = "a + b + c" then ()
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else raise error "polyminus.sml: ordne_alphabetisch a + b + c";
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"----- rewrite goes into subterms";
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val t = str2term "a + c + b + d";
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val Some (t,_) = rewrite_ thy od erls false tausche_plus_plus t; term2str t;
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if term2str t = "a + b + c + d" then ()
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else raise error "polyminus.sml: ordne_alphabetisch1 a + b + c + d";
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val t = str2term "a + c + d + b";
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val Some (t,_) = rewrite_set_ thy false ordne_alphabetisch t; term2str t;
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if term2str t = "a + b + c + d" then ()
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else raise error "polyminus.sml: ordne_alphabetisch2 a + b + c + d";
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"----- here we see rew_sub going into subterm with cond.rew....";
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val t = str2term "b + a + c + d";
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val Some (t,_) = rewrite_ thy od erls false tausche_plus t; term2str t;
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if term2str t = "a + b + c + d" then ()
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else raise error "polyminus.sml: ordne_alphabetisch3 a + b + c + d";
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"----- compile rls for the most complicated terms";
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val t = str2term "5*e + 6*f - 8*g - 9 - 7*e - 4*f + 10*g + 12";
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"5 * e + 6 * f - 8 * g - 9 - 7 * e - 4 * f + 10 * g + 12";
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val Some (t,_) = rewrite_set_ thy false ordne_alphabetisch t; term2str t;
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"5 * e - 8 * g + 6 * f - 9 - 7 * e + 10 * g - 4 * f + 12";
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trace_rewrite:=false;
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(*
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use"../smltest/IsacKnowledge/polyminus.sml";
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use"polyminus.sml";
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*)
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#####################################################################*)
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