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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 = PolyMinus.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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"----------- build fasse_zusammen --------------------------------";
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"----------- build verschoenere ----------------------------------";
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"----------- met simplification for_polynomials with_minus -------";
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"----------- pbl polynom vereinfachen ----------------------------";
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"----------- met probe fuer_polynom ------------------------------";
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wneuper@266
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"----------- pbl polynom probe -----------------------------------";
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"----------- pbl klammer polynom vereinfachen p.34 ---------------";
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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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trace_rewrite:=false;
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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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"----------- 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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"----- compare tausche_plus with real_num_collect";
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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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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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wneuper@263
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val erls = Atools_erls;
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val t = str2term "2*a + 3*a";
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val Some (t,_) = rewrite_ thy od erls false real_num_collect t; term2str t;
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"----- test rewrite_, rewrite_set_";
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trace_rewrite:=true;
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val erls = erls_ordne_alphabetisch;
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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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wneuper@263
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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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wneuper@260
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wneuper@260
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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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wneuper@263
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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;
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if term2str t = "- 9 + 12 + 5 * e - 7 * e + 6 * f - 4 * f - 8 * g + 10 * g"
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then () else raise error "polyminus.sml: ordne_alphabetisch finished";
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wneuper@263
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wneuper@263
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wneuper@265
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"----------- build fasse_zusammen --------------------------------";
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wneuper@265
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"----------- build fasse_zusammen --------------------------------";
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wneuper@265
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"----------- build fasse_zusammen --------------------------------";
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wneuper@264
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val t = str2term "- 9 + 12 + 5 * e - 7 * e + 6 * f - 4 * f - 8 * g + 10 * g";
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wneuper@264
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val Some (t,_) = rewrite_set_ thy false fasse_zusammen t;
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if term2str t = "3 + -2 * e + 2 * f + 2 * g" then ()
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else raise error "polyminus.sml: fasse_zusammen finished";
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wneuper@264
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wneuper@264
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"----------- build verschoenere ----------------------------------";
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wneuper@264
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"----------- build verschoenere ----------------------------------";
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wneuper@264
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"----------- build verschoenere ----------------------------------";
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wneuper@264
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val t = str2term "3 + -2 * e + 2 * f + 2 * g";
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wneuper@264
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val Some (t,_) = rewrite_set_ thy false verschoenere t;
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wneuper@264
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if term2str t = "3 - 2 * e + 2 * f + 2 * g" then ()
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wneuper@264
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else raise error "polyminus.sml: verschoenere 3 + -2 * e ...";
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wneuper@264
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wneuper@264
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trace_rewrite:=true;
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wneuper@263
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trace_rewrite:=false;
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wneuper@265
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wneuper@265
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"----------- met simplification for_polynomials with_minus -------";
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wneuper@265
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"----------- met simplification for_polynomials with_minus -------";
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wneuper@265
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"----------- met simplification for_polynomials with_minus -------";
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wneuper@265
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val str =
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wneuper@265
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"Script SimplifyScript (t_::real) = \
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wneuper@265
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\ (((Try (Rewrite_Set ordne_alphabetisch False)) @@ \
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wneuper@265
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\ (Try (Rewrite_Set fasse_zusammen False)) @@ \
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wneuper@265
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\ (Try (Rewrite_Set verschoenere False))) t_)"
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wneuper@265
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val sc = ((inst_abs thy) o term_of o the o (parse thy)) str;
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atomty sc;
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wneuper@265
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wneuper@265
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"----------- pbl polynom vereinfachen ----------------------------";
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wneuper@265
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"----------- pbl polynom vereinfachen ----------------------------";
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wneuper@265
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"----------- pbl polynom vereinfachen ----------------------------";
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wneuper@265
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states:=[];
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wneuper@265
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CalcTree [(["term (5*e + 6*f - 8*g - 9 - 7*e - 4*f + 10*g + 12)",
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wneuper@265
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"normalform N"],
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wneuper@265
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("PolyMinus.thy",["polynom","vereinfachen"],
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wneuper@265
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["simplification","for_polynomials","with_minus"]))];
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wneuper@265
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moveActiveRoot 1;
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wneuper@265
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autoCalculate 1 CompleteCalc;
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wneuper@265
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val ((pt,p),_) = get_calc 1;
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wneuper@265
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if p = ([], Res) andalso
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term2str (get_obj g_res pt (fst p)) = "3 - 2 * e + 2 * f + 2 * g"
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wneuper@266
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then () else raise error "polyminus.sml: Vereinfache (3 - 2 * e + 2 * f...";
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wneuper@265
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show_pt pt;
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wneuper@265
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wneuper@266
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"----------- met probe fuer_polynom ------------------------------";
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wneuper@266
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"----------- met probe fuer_polynom ------------------------------";
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wneuper@266
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"----------- met probe fuer_polynom ------------------------------";
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wneuper@266
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207 |
val str =
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wneuper@266
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"Script ProbeScript (e_::bool) (ws_::bool list) =\
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wneuper@266
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\ (let e_ = Take e_; \
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wneuper@266
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\ e_ = Substitute ws_ e_ \
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wneuper@266
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\ in (Repeat((Try (Repeat (Calculate times))) @@ \
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wneuper@266
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\ (Try (Repeat (Calculate plus ))) @@ \
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wneuper@266
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\ (Try (Repeat (Calculate minus))))) e_)"
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wneuper@266
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val sc = ((inst_abs thy) o term_of o the o (parse thy)) str;
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wneuper@266
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atomty sc;
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wneuper@265
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wneuper@265
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wneuper@266
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"----------- pbl polynom probe -----------------------------------";
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wneuper@266
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219 |
"----------- pbl polynom probe -----------------------------------";
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wneuper@266
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"----------- pbl polynom probe -----------------------------------";
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wneuper@266
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221 |
states:=[];
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wneuper@266
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CalcTree [(["Pruefe (5*e + 6*f - 8*g - 9 - 7*e - 4*f + 10*g + 12 =\
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wneuper@266
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\3 - 2 * e + 2 * f + 2 * g)",
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wneuper@266
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224 |
"mitWert [e = 1, f = 2, g = 3]",
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wneuper@266
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225 |
"Geprueft b"],
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wneuper@266
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226 |
("PolyMinus.thy",["polynom","probe"],
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wneuper@266
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["probe","fuer_polynom"]))];
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wneuper@266
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228 |
moveActiveRoot 1;
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wneuper@266
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229 |
autoCalculate 1 CompleteCalc;
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wneuper@266
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230 |
val ((pt,p),_) = get_calc 1;
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wneuper@267
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231 |
if p = ([], Res) andalso term2str (get_obj g_res pt (fst p)) = "11 = 11"
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wneuper@267
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then () else raise error "polyminus.sml: Probe 11 = 11";
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wneuper@266
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233 |
show_pt pt;
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wneuper@265
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wneuper@265
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wneuper@267
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236 |
"----------- pbl klammer polynom vereinfachen p.34 ---------------";
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wneuper@267
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237 |
"----------- pbl klammer polynom vereinfachen p.34 ---------------";
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wneuper@267
|
238 |
"----------- pbl klammer polynom vereinfachen p.34 ---------------";
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wneuper@267
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239 |
states:=[];
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wneuper@267
|
240 |
CalcTree [(["term (2*u - 5 - (3 - 4*u) + (8*u + 9))",
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wneuper@267
|
241 |
"normalform N"],
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wneuper@267
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242 |
("PolyMinus.thy",["klammer","polynom","vereinfachen"],
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wneuper@267
|
243 |
["simplification","for_polynomials","with_parentheses"]))];
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wneuper@267
|
244 |
moveActiveRoot 1;
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wneuper@267
|
245 |
autoCalculate 1 CompleteCalc;
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wneuper@267
|
246 |
val ((pt,p),_) = get_calc 1;
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wneuper@267
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247 |
if p = ([], Res) andalso
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wneuper@268
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248 |
term2str (get_obj g_res pt (fst p)) = "1 + 14 * u"
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wneuper@268
|
249 |
then () else raise error "polyminus.sml: Vereinfache (2*u - 5 - (3 - ...";
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wneuper@267
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250 |
show_pt pt;
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wneuper@265
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wneuper@267
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252 |
"----- probe p.34 -----";
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wneuper@267
|
253 |
states:=[];
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wneuper@267
|
254 |
CalcTree [(["Pruefe (2*u - 5 - (3 - 4*u) + (8*u + 9) = 1 + 14 * u)",
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wneuper@267
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255 |
"mitWert [u = 2]",
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wneuper@267
|
256 |
"Geprueft b"],
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wneuper@267
|
257 |
("PolyMinus.thy",["polynom","probe"],
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wneuper@267
|
258 |
["probe","fuer_polynom"]))];
|
wneuper@267
|
259 |
moveActiveRoot 1;
|
wneuper@267
|
260 |
autoCalculate 1 CompleteCalc;
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wneuper@267
|
261 |
val ((pt,p),_) = get_calc 1;
|
wneuper@267
|
262 |
if p = ([], Res) andalso term2str (get_obj g_res pt (fst p)) = "29 = 29"
|
wneuper@267
|
263 |
then () else raise error "polyminus.sml: Probe 29 = 29";
|
wneuper@267
|
264 |
show_pt pt;
|
wneuper@265
|
265 |
|
wneuper@265
|
266 |
|
wneuper@263
|
267 |
(*
|
wneuper@263
|
268 |
use"../smltest/IsacKnowledge/polyminus.sml";
|
wneuper@263
|
269 |
use"polyminus.sml";
|
wneuper@263
|
270 |
*)
|
wneuper@263
|
271 |
|