test/Tools/isac/FE-interface/interface.sml
branchisac-update-Isa09-2
changeset 37960 ec20007095f2
parent 37959 cc24d0f70544
child 37961 e0ad8b69ecc4
     1.1 --- a/test/Tools/isac/FE-interface/interface.sml	Mon Aug 30 14:29:49 2010 +0200
     1.2 +++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
     1.3 @@ -1,1349 +0,0 @@
     1.4 -(* tests the interface of isac's SML-kernel in accordance to 
     1.5 -   java-tests/isac.bridge.
     1.6 -
     1.7 -WN050707 ... if true, the test ist marked with a \label referring
     1.8 -to the same UC in isac-docu.tex as the JUnit testcase.
     1.9 -use"../smltest/FE-interface/interface.sml";
    1.10 -use"interface.sml";
    1.11 - *)
    1.12 -
    1.13 - print_depth 3;
    1.14 -
    1.15 -"-----------------------------------------------------------------";
    1.16 -"table of contents -----------------------------------------------";
    1.17 -"-----------------------------------------------------------------";
    1.18 -"within struct ---------------------------------------------------";
    1.19 -"-----------------------------------------------------------------";
    1.20 -"--------- encode ^ -> ^^^ ---------------------------------------";
    1.21 -"-----------------------------------------------------------------";
    1.22 -"exported from struct --------------------------------------------";
    1.23 -"-----------------------------------------------------------------";
    1.24 -"---------------- empty rootpbl ----------------------------------";
    1.25 -"---------------- solve_linear as rootpbl FE ---------------------";
    1.26 -"--------- inspect the CalcTree No.1 with Iterator No.2 ----------";
    1.27 -"---------------- miniscript with mini-subpbl --------------------";
    1.28 -"--------- miniscript with mini-subpbl AUTOCALCULATE Step 1-------";
    1.29 -"--------- solve_linear as rootpbl AUTOCALCULATE CompleteCalc ----";
    1.30 -"--------- solve_linear as rootpbl AUTOCALC CompleteHead/Calc ----";
    1.31 -"--------- miniscript with mini-subpbl AUTOCALCULATE CompleteCalc-";
    1.32 -"--------- miniscript with mini-subpbl AUTO CompleteCalcHead------";
    1.33 -"--------- solve_linear as rootpbl AUTOCALCULATE CompleteModel ---";
    1.34 -"--------- setContext..Thy ---------------------------------------";
    1.35 -"--------- miniscript with mini-subpbl AUTOCALC CompleteToSubpbl -";
    1.36 -"---------------- rat-eq + subpbl: no_met, NO solution dropped ---";
    1.37 -"--------- tryMatchProblem, tryRefineProblem -------------------UC";
    1.38 -"--------- modifyCalcHead, resetCalcHead, modelProblem ------------";
    1.39 -"--------- maximum-example, UC: Modeling an example --------------";
    1.40 -"--------- solve_linear from pbl-hierarchy -----------------------";
    1.41 -"--------- solve_linear as in an algebra system (CAS)-------------";
    1.42 -"--------- interSteps: on 'miniscript with mini-subpbl' ----------";
    1.43 -"--------- getTactic, fetchApplicableTactics ---------------------";
    1.44 -"--------- getAssumptions, getAccumulatedAsms --------------------";
    1.45 -"--------- arbitrary combinations of steps -----------------------";
    1.46 -"--------- appendFormula label{SOLVE:MANUAL:FORMULA:enter} right--";
    1.47 -"--------- appendFormula label{SOLVE:MANUAL:FORMULA:enter} other--";
    1.48 -"--------- appendFormula label{SOLVE:MANUAL:FORMULA:enter} oth 2--";
    1.49 -"--------- appendFormula label{SOLVE:MANUAL:FORMULA:enter} NOTok--";
    1.50 -"--------- replaceFormula {SOLVE:MANUAL:FORMULA:replace} right----";
    1.51 -"--------- replaceFormula {SOLVE:MANUAL:FORMULA:replace} other----";
    1.52 -"--------- replaceFormula {SOLVE:MANUAL:FORMULA:replace} other 2--";
    1.53 -"--------- replaceFormula {SOLVE:MANUAL:FORMULA:replace} NOTok----";
    1.54 -"-----------------------------------------------------------------";
    1.55 -
    1.56 -"within struct ---------------------------------------------------";
    1.57 -"within struct ---------------------------------------------------";
    1.58 -"within struct ---------------------------------------------------";
    1.59 -(*==================================================================
    1.60 -
    1.61 -
    1.62 -"--------- encode ^ -> ^^^ ---------------------------------------";
    1.63 -"--------- encode ^ -> ^^^ ---------------------------------------";
    1.64 -"--------- encode ^ -> ^^^ ---------------------------------------";
    1.65 -if encode "a^2+b^2=c^2" = "a^^^2+b^^^2=c^^^2" then ()
    1.66 -else raise error "interface.sml: diff.behav. in encode ^ -> ^^^ ";
    1.67 -
    1.68 -if (decode o encode) "a^2+b^2=c^2" = "a^2+b^2=c^2" then ()
    1.69 -else raise error "interface.sml: diff.behav. in de/encode ^ <-> ^^^ ";
    1.70 -
    1.71 -==================================================================*)
    1.72 -"exported from struct --------------------------------------------";
    1.73 -"exported from struct --------------------------------------------";
    1.74 -"exported from struct --------------------------------------------";
    1.75 -
    1.76 -
    1.77 -(*------------ set at startup of the Kernel --------------------------*)
    1.78 - states:= [];  (*resets all state information in Kernel               *)
    1.79 -(*----------------------------------------------------------------*)
    1.80 -
    1.81 -"---------------- empty rootpbl ----------------------------------";
    1.82 -"---------------- empty rootpbl ----------------------------------";
    1.83 -"---------------- empty rootpbl ----------------------------------";
    1.84 - CalcTree [([], ("", [], []))];
    1.85 - Iterator 1;
    1.86 - moveActiveRoot 1;
    1.87 - refFormula 1 (get_pos 1 1);
    1.88 -(*WN.040222: stoert das sehr, dass e_domID etc. statt leer kommt ???*)
    1.89 -
    1.90 -
    1.91 -"---------------- solve_linear as rootpbl FE ---------------------";
    1.92 -"---------------- solve_linear as rootpbl FE ---------------------";
    1.93 -"---------------- solve_linear as rootpbl FE ---------------------";
    1.94 - states := [];
    1.95 - CalcTree      (*start of calculation, return No.1*)
    1.96 -     [(["equality (1+-1*2+x=0)", "solveFor x","solutions L"],
    1.97 -       ("Test.thy", 
    1.98 -	["linear","univariate","equation","test"],
    1.99 -	["Test","solve_linear"]))];
   1.100 - Iterator 1;     (*create an active Iterator on CalcTree No.1*)
   1.101 - 
   1.102 - moveActiveRoot 1;(*sets the CalcIterator No.1 at the root of CalcTree No.1*);
   1.103 - refFormula 1 (get_pos 1 1)  (*gets CalcHead; model is still empty*);
   1.104 - 
   1.105 - fetchProposedTactic 1 (*by using Iterator No.1*);
   1.106 - setNextTactic 1 (Model_Problem (*["linear","univariate","equation","test"]*));
   1.107 -                        (*by using Iterator No.1*)
   1.108 - autoCalculate 1 (Step 1);
   1.109 - refFormula 1 (get_pos 1 1)  (*model contains descriptions for all items*);
   1.110 - autoCalculate 1 (Step 1);
   1.111 -(*-----since Model_Problem + complete_mod_ in case cas of SOME-----*
   1.112 - fetchProposedTactic 1;
   1.113 - setNextTactic 1 (Add_Given "equality (1 + -1 * 2 + x = 0)");
   1.114 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1); (*equality added*);
   1.115 -
   1.116 - fetchProposedTactic 1;
   1.117 - setNextTactic 1 (Add_Given "solveFor x");
   1.118 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.119 -
   1.120 - fetchProposedTactic 1;
   1.121 - setNextTactic 1 (Add_Find "solutions L");
   1.122 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.123 -
   1.124 - fetchProposedTactic 1;
   1.125 - setNextTactic 1 (Specify_Theory "Test.thy");
   1.126 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.127 -*-----since Model_Problem + complete_mod_ in case cas of SOME-----*)
   1.128 -
   1.129 - fetchProposedTactic 1;
   1.130 - setNextTactic 1 (Specify_Problem ["linear","univariate","equation","test"]);
   1.131 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.132 -(*-------------------------------------------------------------------------*)
   1.133 - fetchProposedTactic 1;
   1.134 - val (ptp as (pt,p), tacis) = get_calc 1; get_pos 1 1;
   1.135 -
   1.136 - setNextTactic 1 (Specify_Method ["Test","solve_linear"]);
   1.137 - val (ptp as (pt,p), tacis) = get_calc 1; get_pos 1 1;
   1.138 -
   1.139 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.140 - val (ptp as (pt,p), tacis) = get_calc 1; get_pos 1 1;
   1.141 -
   1.142 -(*-------------------------------------------------------------------------*)
   1.143 - fetchProposedTactic 1;
   1.144 - val (ptp as (pt,p), tacis) = get_calc 1; get_pos 1 1;
   1.145 -
   1.146 - setNextTactic 1 (Apply_Method ["Test","solve_linear"]);
   1.147 - val (ptp as (pt,p), tacis) = get_calc 1; get_pos 1 1;
   1.148 - is_complete_mod ptp;
   1.149 - is_complete_spec ptp;
   1.150 -
   1.151 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.152 - val (ptp as (pt,p), tacis) = get_calc 1; get_pos 1 1;
   1.153 - (*term2str (get_obj g_form pt [1]);*)
   1.154 -(*-------------------------------------------------------------------------*)
   1.155 -
   1.156 - fetchProposedTactic 1;
   1.157 - setNextTactic 1 (Rewrite_Set_Inst (["(bdv,x)"], "isolate_bdv"));
   1.158 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.159 -
   1.160 - fetchProposedTactic 1;
   1.161 - setNextTactic 1 (Rewrite_Set "Test_simplify");
   1.162 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.163 -
   1.164 - fetchProposedTactic 1;
   1.165 - setNextTactic 1 (Check_Postcond ["linear","univariate","equation","test"]);
   1.166 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.167 -
   1.168 - val ((pt,_),_) = get_calc 1;
   1.169 - val ip = get_pos 1 1;
   1.170 - val (Form f, tac, asms) = pt_extract (pt, ip);
   1.171 -     (*exception just above means: 'ModSpec' has been returned: error anyway*)
   1.172 - if term2str f = "[x = 1]" then () else 
   1.173 - raise error "FE-Kernel-interface.sml: diff.behav. in solve_linear as rootpbl";
   1.174 -
   1.175 -
   1.176 -
   1.177 -"--------- inspect the CalcTree No.1 with Iterator No.2 ---------";
   1.178 -"--------- inspect the CalcTree No.1 with Iterator No.2 ---------";
   1.179 -"--------- inspect the CalcTree No.1 with Iterator No.2 ---------";
   1.180 -(*WN041118: inspection shifted to Iterator No.1, because others need pos'*)
   1.181 - moveActiveRoot 1; 
   1.182 - refFormula 1 ([],Pbl); getTactic 1 ([],Pbl);(*Error*)
   1.183 - moveActiveDown 1; 
   1.184 - refFormula 1 ([1],Frm); getTactic 1 ([1],Frm);(*Error*)
   1.185 - moveActiveDown 1 ; 
   1.186 - refFormula 1 ([1],Res); getTactic 1 ([1],Res);(*OK*) 
   1.187 - (*getAssumption 1 ([1],Res); TODO.WN041217*)
   1.188 - moveActiveDown 1 ; refFormula 1 ([2],Res);
   1.189 - moveActiveCalcHead 1; refFormula 1 ([],Pbl);
   1.190 - moveActiveDown 1;
   1.191 - moveActiveDown 1;
   1.192 - moveActiveDown 1;
   1.193 - if get_pos 1 1 = ([2], Res) then () else 
   1.194 - raise error "FE-interface.sml: diff.behav. in a inspect 1 with Iterator 2";
   1.195 - moveActiveDown 1; refFormula 1 ([], Res);
   1.196 - if get_pos 1 1 = ([], Res) then () else 
   1.197 - raise error "FE-interface.sml: diff.behav. in b inspect 1 with Iterator 2";
   1.198 - moveActiveCalcHead 1; refFormula 1 ([],Pbl);
   1.199 -
   1.200 -
   1.201 -
   1.202 -"---------------- miniscript with mini-subpbl --------------------";
   1.203 -"---------------- miniscript with mini-subpbl --------------------";
   1.204 -"---------------- miniscript with mini-subpbl --------------------";
   1.205 - states:=[];
   1.206 - CalcTree      (*start of calculation, return No.1*)
   1.207 - [(["equality (x+1=2)", "solveFor x","solutions L"], 
   1.208 -   ("Test.thy", 
   1.209 -    ["sqroot-test","univariate","equation","test"],
   1.210 -    ["Test","squ-equ-test-subpbl1"]))];
   1.211 - Iterator 1;
   1.212 -
   1.213 - moveActiveRoot 1; 
   1.214 - refFormula 1 (get_pos 1 1);
   1.215 - fetchProposedTactic 1;
   1.216 - setNextTactic 1 (Model_Problem);
   1.217 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);(*gets ModSpec;model is still empty*)
   1.218 -
   1.219 - fetchProposedTactic 1;
   1.220 - setNextTactic 1 (Add_Given "equality (x + 1 = 2)");
   1.221 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.222 -
   1.223 - fetchProposedTactic 1;
   1.224 - setNextTactic 1 (Add_Given "solveFor x");
   1.225 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.226 -
   1.227 - fetchProposedTactic 1;
   1.228 - setNextTactic 1 (Add_Find "solutions L");
   1.229 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.230 -
   1.231 - fetchProposedTactic 1;
   1.232 - setNextTactic 1 (Specify_Theory "Test.thy");
   1.233 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.234 -
   1.235 - fetchProposedTactic 1;
   1.236 - setNextTactic 1 (Specify_Problem 
   1.237 -		      ["sqroot-test","univariate","equation","test"]);
   1.238 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.239 -"1-----------------------------------------------------------------";
   1.240 -
   1.241 - fetchProposedTactic 1;
   1.242 - setNextTactic 1 (Specify_Method ["Test","squ-equ-test-subpbl1"]);
   1.243 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.244 -
   1.245 - fetchProposedTactic 1;
   1.246 - setNextTactic 1 (Apply_Method ["Test","squ-equ-test-subpbl1"]);
   1.247 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.248 -
   1.249 - fetchProposedTactic 1;
   1.250 - setNextTactic 1 (Rewrite_Set "norm_equation");
   1.251 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.252 -
   1.253 - fetchProposedTactic 1;
   1.254 - setNextTactic 1 (Rewrite_Set "Test_simplify");
   1.255 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.256 -
   1.257 - fetchProposedTactic 1;(*----------------Subproblem--------------------*);
   1.258 - setNextTactic 1 (Subproblem ("Test.thy",
   1.259 -			      ["linear","univariate","equation","test"]));
   1.260 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.261 -
   1.262 - fetchProposedTactic 1;
   1.263 - setNextTactic 1 (Model_Problem );
   1.264 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.265 -
   1.266 - fetchProposedTactic 1;
   1.267 - setNextTactic 1 (Add_Given "equality (-1 + x = 0)");
   1.268 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.269 -
   1.270 - fetchProposedTactic 1;
   1.271 - setNextTactic 1 (Add_Given "solveFor x");
   1.272 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.273 -
   1.274 - fetchProposedTactic 1;
   1.275 - setNextTactic 1 (Add_Find "solutions x_i");
   1.276 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.277 -
   1.278 - fetchProposedTactic 1;
   1.279 - setNextTactic 1 (Specify_Theory "Test.thy");
   1.280 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.281 -
   1.282 - fetchProposedTactic 1;
   1.283 - setNextTactic 1 (Specify_Problem ["linear","univariate","equation","test"]);
   1.284 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.285 -"2-----------------------------------------------------------------";
   1.286 -
   1.287 - fetchProposedTactic 1;
   1.288 - setNextTactic 1 (Specify_Method ["Test","solve_linear"]);
   1.289 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.290 -
   1.291 - fetchProposedTactic 1;
   1.292 - setNextTactic 1 (Apply_Method ["Test","solve_linear"]);
   1.293 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.294 -
   1.295 - fetchProposedTactic 1;
   1.296 - setNextTactic 1 (Rewrite_Set_Inst (["(bdv,x)"], "isolate_bdv"));
   1.297 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.298 -
   1.299 - fetchProposedTactic 1;
   1.300 - setNextTactic 1 (Rewrite_Set "Test_simplify");
   1.301 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.302 -
   1.303 - fetchProposedTactic 1;
   1.304 - setNextTactic 1 (Check_Postcond ["linear","univariate","equation","test"]);
   1.305 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.306 -
   1.307 - fetchProposedTactic 1;
   1.308 - setNextTactic 1 (Check_elementwise "Assumptions");
   1.309 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.310 -
   1.311 - val xml = fetchProposedTactic 1;
   1.312 - setNextTactic 1 (Check_Postcond 
   1.313 -		      ["sqroot-test","univariate","equation","test"]);
   1.314 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.315 -
   1.316 - val ((pt,_),_) = get_calc 1;
   1.317 - val str = pr_ptree pr_short pt;
   1.318 - writeln str;
   1.319 - val ip = get_pos 1 1;
   1.320 - val (Form f, tac, asms) = pt_extract (pt, ip);
   1.321 -     (*exception just above means: 'ModSpec' has been returned: error anyway*)
   1.322 - if term2str f = "[x = 1]" then () else 
   1.323 - raise error "FE-interface.sml: diff.behav. in miniscript with mini-subpb";
   1.324 -
   1.325 - DEconstrCalcTree 1;
   1.326 -
   1.327 -
   1.328 -"--------- miniscript with mini-subpbl AUTOCALCULATE Step 1-------";
   1.329 -"--------- miniscript with mini-subpbl AUTOCALCULATE Step 1-------";
   1.330 -"--------- miniscript with mini-subpbl AUTOCALCULATE Step 1-------";
   1.331 - states:=[];
   1.332 - CalcTree
   1.333 - [(["equality (x+1=2)", "solveFor x","solutions L"], 
   1.334 -   ("Test.thy", 
   1.335 -    ["sqroot-test","univariate","equation","test"],
   1.336 -    ["Test","squ-equ-test-subpbl1"]))];
   1.337 - Iterator 1;
   1.338 - moveActiveRoot 1;
   1.339 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.340 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.341 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.342 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.343 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.344 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.345 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.346 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.347 - (*here the solve-phase starts*)
   1.348 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.349 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.350 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.351 - (*------------------------------------*)
   1.352 -(* print_depth 13; get_calc 1;
   1.353 -   *)
   1.354 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.355 - (*calc-head of subproblem*)
   1.356 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.357 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.358 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.359 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.360 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.361 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.362 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.363 - (*solve-phase of the subproblem*)
   1.364 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.365 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.366 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.367 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.368 - (*finish subproblem*)
   1.369 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.370 - (*finish problem*)
   1.371 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1); 
   1.372 -
   1.373 - (*this checks the test for correctness..*)
   1.374 - val ((pt,_),_) = get_calc 1;
   1.375 - val p = get_pos 1 1;
   1.376 - val (Form f, tac, asms) = pt_extract (pt, p);
   1.377 - if term2str f = "[x = 1]" andalso p = ([], Res) then () else 
   1.378 - raise error "FE-interface.sml: diff.behav. in miniscript with mini-subpb";
   1.379 -
   1.380 - DEconstrCalcTree 1;
   1.381 -
   1.382 -"--------- solve_linear as rootpbl AUTOCALCULATE CompleteCalc ----";
   1.383 -"--------- solve_linear as rootpbl AUTOCALCULATE CompleteCalc ----";
   1.384 -"--------- solve_linear as rootpbl AUTOCALCULATE CompleteCalc ----";
   1.385 - states:=[];
   1.386 - CalcTree
   1.387 -     [(["equality (1+-1*2+x=0)", "solveFor x","solutions L"],
   1.388 -       ("Test.thy", 
   1.389 -	["linear","univariate","equation","test"],
   1.390 -	["Test","solve_linear"]))];
   1.391 - Iterator 1;
   1.392 - moveActiveRoot 1;
   1.393 -getFormulaeFromTo 1 ([],Pbl) ([],Pbl) 999 false;
   1.394 -
   1.395 - autoCalculate 1 CompleteCalc; 
   1.396 - val (unc, del, gen) = (([],Pbl), ([],Pbl), ([],Res));
   1.397 - getFormulaeFromTo 1 unc gen 1 (*only level 1*) false;
   1.398 -
   1.399 - val ((pt,_),_) = get_calc 1;
   1.400 - val p = get_pos 1 1;
   1.401 - val (Form f, tac, asms) = pt_extract (pt, p);
   1.402 - if term2str f = "[x = 1]" andalso p = ([], Res) then () else 
   1.403 - raise error "FE-interface.sml: diff.behav. in solve_linear/rt AUTOCALCULATE ";
   1.404 -
   1.405 -
   1.406 -"--------- solve_linear as rootpbl AUTOCALC CompleteHead/Calc ----";
   1.407 -"--------- solve_linear as rootpbl AUTOCALC CompleteHead/Calc ----";
   1.408 -"--------- solve_linear as rootpbl AUTOCALC CompleteHead/Calc ----";
   1.409 - states:=[];
   1.410 - CalcTree
   1.411 -     [(["equality (1+-1*2+x=0)", "solveFor x","solutions L"],
   1.412 -       ("Test.thy", 
   1.413 -	["linear","univariate","equation","test"],
   1.414 -	["Test","solve_linear"]))];
   1.415 - Iterator 1;
   1.416 - moveActiveRoot 1;
   1.417 - autoCalculate 1 CompleteCalcHead;
   1.418 - refFormula 1 (get_pos 1 1);
   1.419 - val ((pt,p),_) = get_calc 1;
   1.420 -
   1.421 -
   1.422 -
   1.423 - autoCalculate 1 CompleteCalc; 
   1.424 - val ((pt,p),_) = get_calc 1;
   1.425 - if p=([], Res) then () else 
   1.426 - raise error "FE-interface.sml: diff.behav. in solve_linear AUTOC Head/Calc ";
   1.427 -
   1.428 -
   1.429 -"--------- miniscript with mini-subpbl AUTOCALCULATE CompleteCalc-";
   1.430 -"--------- miniscript with mini-subpbl AUTOCALCULATE CompleteCalc-";
   1.431 -"--------- miniscript with mini-subpbl AUTOCALCULATE CompleteCalc-";
   1.432 - states:=[];
   1.433 - CalcTree
   1.434 - [(["equality (x+1=2)", "solveFor x","solutions L"], 
   1.435 -   ("Test.thy", 
   1.436 -    ["sqroot-test","univariate","equation","test"],
   1.437 -    ["Test","squ-equ-test-subpbl1"]))];
   1.438 - Iterator 1;
   1.439 - moveActiveRoot 1;
   1.440 - autoCalculate 1 CompleteCalc;
   1.441 -
   1.442 -(*
   1.443 -getTactic 1 ([1],Frm);
   1.444 -getTactic 1 ([1],Res);
   1.445 -initContext 1 Thy_ ([1],Res);
   1.446 -*)
   1.447 -
   1.448 - (*... returns calcChangedEvent with*)
   1.449 - val (unc, del, gen) = (([],Pbl), ([],Pbl), ([],Res));
   1.450 - getFormulaeFromTo 1 unc gen 0 (*only result*) false;
   1.451 - getFormulaeFromTo 1 unc gen 1 (*only level 1*) false;
   1.452 - getFormulaeFromTo 1 unc gen 99999 (*all levels*) false;
   1.453 -
   1.454 - val ((pt,_),_) = get_calc 1;
   1.455 - val p = get_pos 1 1;
   1.456 - val (Form f, tac, asms) = pt_extract (pt, p);
   1.457 - if term2str f = "[x = 1]" andalso p = ([], Res) then () else 
   1.458 - raise error "FE-interface.sml: diff.behav. in mini-subpbl AUTOCALCULATE 6";
   1.459 -
   1.460 -
   1.461 -"--------- miniscript with mini-subpbl AUTO CompleteCalcHead------";
   1.462 -"--------- miniscript with mini-subpbl AUTO CompleteCalcHead------";
   1.463 -"--------- miniscript with mini-subpbl AUTO CompleteCalcHead------";
   1.464 - states:=[];
   1.465 - CalcTree
   1.466 - [(["equality (x+1=2)", "solveFor x","solutions L"], 
   1.467 -   ("Test.thy", 
   1.468 -    ["sqroot-test","univariate","equation","test"],
   1.469 -    ["Test","squ-equ-test-subpbl1"]))];
   1.470 - Iterator 1;
   1.471 -(* doesn't terminate !!!
   1.472 - autoCalculate 1 CompleteCalcHead; 
   1.473 -*)
   1.474 -
   1.475 -"--------- solve_linear as rootpbl AUTOCALCULATE CompleteModel ---";
   1.476 -"--------- solve_linear as rootpbl AUTOCALCULATE CompleteModel ---";
   1.477 -"--------- solve_linear as rootpbl AUTOCALCULATE CompleteModel ---";
   1.478 - states:=[];
   1.479 - CalcTree
   1.480 -     [(["equality (1+-1*2+x=0)", "solveFor x","solutions L"],
   1.481 -       ("Test.thy", 
   1.482 -	["linear","univariate","equation","test"],
   1.483 -	["Test","solve_linear"]))];
   1.484 - Iterator 1;
   1.485 - moveActiveRoot 1;
   1.486 - autoCalculate 1 CompleteModel; 
   1.487 - refFormula 1 (get_pos 1 1);
   1.488 -
   1.489 -setProblem 1 ["linear","univariate","equation","test"];
   1.490 -val pos = get_pos 1 1;
   1.491 -setContext 1 pos (kestoreID2guh Pbl_["linear","univariate","equation","test"]);
   1.492 - refFormula 1 (get_pos 1 1);
   1.493 -
   1.494 -setMethod 1 ["Test","solve_linear"];
   1.495 -setContext 1 pos (kestoreID2guh Met_ ["Test","solve_linear"]);
   1.496 - refFormula 1 (get_pos 1 1);
   1.497 - val ((pt,_),_) = get_calc 1;
   1.498 - if get_obj g_spec pt [] = ("e_domID", 
   1.499 -			    ["linear", "univariate","equation","test"],
   1.500 -			    ["Test","solve_linear"]) then ()
   1.501 - else raise error "FE-interface.sml: diff.behav. in setProblem, setMethod";
   1.502 -
   1.503 - autoCalculate 1 CompleteCalcHead;
   1.504 - refFormula 1 (get_pos 1 1); 
   1.505 - autoCalculate 1 CompleteCalc; 
   1.506 - moveActiveDown 1;
   1.507 - moveActiveDown 1;
   1.508 - moveActiveDown 1;
   1.509 - refFormula 1 (get_pos 1 1); 
   1.510 - val ((pt,_),_) = get_calc 1;
   1.511 - val p = get_pos 1 1;
   1.512 - val (Form f, tac, asms) = pt_extract (pt, p);
   1.513 - if term2str f = "[x = 1]" andalso p = ([], Res) then () else 
   1.514 - raise error "FE-interface.sml: diff.behav. in mini-subpbl AUTOCALCULATE 6";
   1.515 -
   1.516 -
   1.517 -"--------- setContext..Thy ---------------------------------------";
   1.518 -"--------- setContext..Thy ---------------------------------------";
   1.519 -"--------- setContext..Thy ---------------------------------------";
   1.520 -states:=[];
   1.521 -CalcTree
   1.522 -[(["equality (x+1=2)", "solveFor x","solutions L"], 
   1.523 -  ("Test.thy", 
   1.524 -   ["sqroot-test","univariate","equation","test"],
   1.525 -   ["Test","squ-equ-test-subpbl1"]))];
   1.526 -Iterator 1; moveActiveRoot 1;
   1.527 -autoCalculate 1 CompleteCalcHead;
   1.528 -autoCalculate 1 (Step 1);
   1.529 -val ((pt,p),_) = get_calc 1;  show_pt pt;
   1.530 -(*
   1.531 -setNextTactic 1 (Rewrite_Set "Test_simplify");
   1.532 -autoCalculate 1 (Step 1);
   1.533 -val ((pt,p),_) = get_calc 1;  show_pt pt;
   1.534 -*)
   1.535 -"-----^^^^^ and vvvvv do the same -----";
   1.536 -setContext 1 p "thy_isac_Test-rls-Test_simplify";
   1.537 -val ((pt,p),_) = get_calc 1;  show_pt pt;
   1.538 -
   1.539 -autoCalculate 1 (Step 1);
   1.540 -setContext 1 p "thy_isac_Test-rls-Test_simplify";
   1.541 -val ((pt,p),_) = get_calc 1;  show_pt pt;
   1.542 -
   1.543 -autoCalculate 1 CompleteCalc;
   1.544 -
   1.545 -
   1.546 -
   1.547 -"--------- miniscript with mini-subpbl AUTOCALC CompleteToSubpbl -";
   1.548 -"--------- miniscript with mini-subpbl AUTOCALC CompleteToSubpbl -";
   1.549 -"--------- miniscript with mini-subpbl AUTOCALC CompleteToSubpbl -";
   1.550 - states:=[];
   1.551 - CalcTree
   1.552 - [(["equality (x+1=2)", "solveFor x","solutions L"], 
   1.553 -   ("Test.thy", 
   1.554 -    ["sqroot-test","univariate","equation","test"],
   1.555 -    ["Test","squ-equ-test-subpbl1"]))];
   1.556 - Iterator 1; moveActiveRoot 1;
   1.557 - autoCalculate 1 CompleteToSubpbl;
   1.558 - refFormula 1 (get_pos 1 1); (*<ISA> -1 + x = 0 </ISA>*);
   1.559 - val ((pt,_),_) = get_calc 1;
   1.560 - val str = pr_ptree pr_short pt;
   1.561 - writeln str;
   1.562 - if str = ".    ----- pblobj -----\n1.   x + 1 = 2\n2.   x + 1 + -1 * 2 = 0\n"
   1.563 - then () else 
   1.564 - raise error "FE-interface.sml: diff.behav. in mini-subpbl CompleteToSubpbl-1";
   1.565 -
   1.566 - autoCalculate 1 (Step 1); (*proceeds only, of NOT 1 step before subplb*)
   1.567 - autoCalculate 1 CompleteToSubpbl;
   1.568 - val ((pt,_),_) = get_calc 1;
   1.569 - val str = pr_ptree pr_short pt;
   1.570 - writeln str;
   1.571 - autoCalculate 1 CompleteCalc; (*das geht ohnehin !*);
   1.572 - val ((pt,_),_) = get_calc 1;
   1.573 - val p = get_pos 1 1;
   1.574 - val (Form f, tac, asms) = pt_extract (pt, p);
   1.575 - if term2str f = "[x = 1]" andalso p = ([], Res) then () else 
   1.576 - raise error "FE-interface.sml: diff.behav. in mini-subpbl CompleteToSubpbl 1";
   1.577 -
   1.578 -
   1.579 -
   1.580 -"---------------- rat-eq + subpbl: no_met, NO solution dropped ---";
   1.581 -"---------------- rat-eq + subpbl: no_met, NO solution dropped ---";
   1.582 -"---------------- rat-eq + subpbl: no_met, NO solution dropped ---";
   1.583 - states:=[];
   1.584 - CalcTree
   1.585 - [(["equality ((5*x)/(x - 2) - x/(x+2)=4)", "solveFor x","solutions L"],
   1.586 -   ("RatEq.thy", ["univariate","equation"], ["no_met"]))];
   1.587 - Iterator 1;
   1.588 - moveActiveRoot 1; 
   1.589 - fetchProposedTactic 1;
   1.590 - setNextTactic 1 (Model_Problem );
   1.591 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.592 -(*-----since Model_Problem + complete_mod_ in case cas of SOME-----*
   1.593 - setNextTactic 1 (Add_Given "equality (5 * x / (x - 2) - x / (x + 2) = 4)");
   1.594 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.595 - setNextTactic 1 (Add_Given "solveFor x");
   1.596 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.597 - setNextTactic 1 (Add_Find "solutions L");
   1.598 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.599 -*-----since Model_Problem + complete_mod_ in case cas of SOME-----*)
   1.600 - setNextTactic 1 (Specify_Theory "RatEq.thy");
   1.601 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.602 - setNextTactic 1 (Specify_Problem ["rational","univariate","equation"]);
   1.603 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.604 - setNextTactic 1 (Specify_Method ["RatEq","solve_rat_equation"]);
   1.605 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.606 - setNextTactic 1 (Apply_Method ["RatEq","solve_rat_equation"]);
   1.607 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.608 - setNextTactic 1 (Rewrite_Set "RatEq_simplify");
   1.609 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.610 - setNextTactic 1 (Rewrite_Set "norm_Rational");
   1.611 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.612 - setNextTactic 1 (Rewrite_Set "RatEq_eliminate");
   1.613 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.614 - (*               __________ for "12 * x + 4 * x ^^^ 2 = 4 * (-4 + x ^^^ 2)"*)
   1.615 - setNextTactic 1 (Subproblem ("PolyEq.thy", ["normalize","polynomial",
   1.616 -					    "univariate","equation"]));
   1.617 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.618 - setNextTactic 1 (Model_Problem );
   1.619 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.620 -(*-----since Model_Problem + complete_mod_ in case cas of SOME-----*
   1.621 - setNextTactic 1 (Add_Given 
   1.622 -		      "equality (12 * x + 4 * x ^^^ 2 = 4 * (-4 + x ^^^ 2))");
   1.623 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.624 - setNextTactic 1 (Add_Given "solveFor x");
   1.625 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.626 - setNextTactic 1 (Add_Find "solutions x_i");
   1.627 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.628 -*-----since Model_Problem + complete_mod_ in case cas of SOME-----*)
   1.629 - setNextTactic 1 (Specify_Theory "PolyEq.thy");
   1.630 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.631 - setNextTactic 1 (Specify_Problem ["normalize","polynomial",
   1.632 -				   "univariate","equation"]);
   1.633 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.634 - setNextTactic 1 (Specify_Method ["PolyEq","normalize_poly"]);
   1.635 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.636 - setNextTactic 1 (Apply_Method ["PolyEq","normalize_poly"]);
   1.637 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.638 - setNextTactic 1 (Rewrite ("all_left",""));
   1.639 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.640 - setNextTactic 1 (Rewrite_Set_Inst (["(bdv,x)"], "make_ratpoly_in"));
   1.641 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.642 - (*               __________ for "16 + 12 * x = 0"*)
   1.643 - setNextTactic 1 (Subproblem ("PolyEq.thy",
   1.644 -			 ["degree_1","polynomial","univariate","equation"]));
   1.645 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.646 - setNextTactic 1 (Model_Problem );
   1.647 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.648 -(*-----since Model_Problem + complete_mod_ in case cas of SOME-----*
   1.649 - setNextTactic 1 (Add_Given 
   1.650 -		      "equality (16 + 12 * x = 0)");
   1.651 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.652 - setNextTactic 1 (Add_Given "solveFor x");
   1.653 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.654 - setNextTactic 1 (Add_Find "solutions x_i");
   1.655 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.656 -*-----since Model_Problem + complete_mod_ in case cas of SOME-----*)
   1.657 - setNextTactic 1 (Specify_Theory "PolyEq.thy");
   1.658 - (*------------- some trials in the problem-hierarchy ---------------*)
   1.659 - setNextTactic 1 (Specify_Problem ["linear","univariate","equation"]);
   1.660 - autoCalculate 1 (Step 1); fetchProposedTactic 1; (*<ERROR> helpless </ERROR> !!!*)
   1.661 - setNextTactic 1 (Refine_Problem ["univariate","equation"]);
   1.662 -
   1.663 -
   1.664 -
   1.665 -
   1.666 -
   1.667 - (*------------------------------------------------------------------*)
   1.668 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.669 - setNextTactic 1 (Specify_Method ["PolyEq","solve_d1_polyeq_equation"]);
   1.670 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.671 - setNextTactic 1 (Apply_Method ["PolyEq","solve_d1_polyeq_equation"]);
   1.672 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.673 - setNextTactic 1 (Rewrite_Set_Inst (["(bdv,x)"], "d1_polyeq_simplify"));
   1.674 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.675 - setNextTactic 1 (Rewrite_Set "polyeq_simplify");
   1.676 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.677 - (*==================================================================*)
   1.678 - setNextTactic 1 Or_to_List;
   1.679 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.680 - setNextTactic 1 (Check_elementwise "Assumptions");
   1.681 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.682 - setNextTactic 1 (Check_Postcond ["degree_1","polynomial",
   1.683 -				 "univariate","equation"]);
   1.684 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.685 - setNextTactic 1 (Check_Postcond ["normalize","polynomial",
   1.686 -				   "univariate","equation"]);
   1.687 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.688 - setNextTactic 1 (Check_elementwise "Assumptions");
   1.689 - autoCalculate 1 (Step 1); fetchProposedTactic 1;
   1.690 - setNextTactic 1 (Check_Postcond ["rational","univariate","equation"]);
   1.691 - val (ptp,_) = get_calc 1;
   1.692 - val (Form t,_,_) = pt_extract ptp;
   1.693 - if get_pos 1 1 = ([], Res) andalso term2str t = "[x = -4 / 3]" then ()
   1.694 - else writeln "FE-inteface.sml: diff.behav. in rat-eq + subpbl: no_met, NO ..";
   1.695 -
   1.696 -
   1.697 -"---------------- tryMatchProblem, tryRefineProblem --------------";
   1.698 -"---------------- tryMatchProblem, tryRefineProblem --------------";
   1.699 -"---------------- tryMatchProblem, tryRefineProblem --------------";
   1.700 -(*{\bf\UC{Having \isac{} Refine the Problem
   1.701 - * Automatically}\label{SPECIFY:refine-auto}\\} test match and refine with
   1.702 - * x^^^2 + 4*x + 5 = 2
   1.703 -see isac.bridge.TestSpecify#testMatchRefine*)
   1.704 - DEconstrCalcTree 1;
   1.705 - CalcTree
   1.706 - [(["equality (x^2 + 4*x + 5 = 2)", "solveFor x","solutions L"],
   1.707 -   ("Isac.thy", 
   1.708 -    ["univariate","equation"],
   1.709 -    ["no_met"]))];
   1.710 - Iterator 1;
   1.711 - moveActiveRoot 1; 
   1.712 -
   1.713 - fetchProposedTactic 1;
   1.714 - setNextTactic 1 (Model_Problem );
   1.715 - (*..this tactic should be done 'tacitly', too !*)
   1.716 -
   1.717 -(*
   1.718 -autoCalculate 1 CompleteCalcHead; 
   1.719 -checkContext 1 ([],Pbl) "pbl_equ_univ";
   1.720 -checkContext 1 ([],Pbl) (kestoreID2guh Pbl_ ["univariate","equation"]);
   1.721 -*)
   1.722 -
   1.723 - autoCalculate 1 (Step 1); 
   1.724 -
   1.725 - fetchProposedTactic 1;
   1.726 - setNextTactic 1 (Add_Given "equality (x ^^^ 2 + 4 * x + 5 = 2)");
   1.727 - autoCalculate 1 (Step 1); 
   1.728 -
   1.729 - "--------- we go into the ProblemBrowser (_NO_ pblID selected) -";
   1.730 -initContext 1 Pbl_ ([],Pbl);
   1.731 -initContext 1 Met_ ([],Pbl);
   1.732 -
   1.733 - "--------- this match will show some incomplete items: ---------";
   1.734 -checkContext 1 ([],Pbl) (kestoreID2guh Pbl_ ["univariate","equation"]);
   1.735 -checkContext 1 ([],Pbl) (kestoreID2guh Met_ ["LinEq", "solve_lineq_equation"]);
   1.736 -
   1.737 -
   1.738 - fetchProposedTactic 1;
   1.739 - setNextTactic 1 (Add_Given "solveFor x"); autoCalculate 1 (Step 1);
   1.740 -
   1.741 - fetchProposedTactic 1;
   1.742 - setNextTactic 1 (Add_Find "solutions L"); autoCalculate 1 (Step 1);
   1.743 -
   1.744 - "--------- this is a matching model (all items correct): -------";
   1.745 -checkContext 1  ([],Pbl) (kestoreID2guh Pbl_ ["univariate","equation"]);
   1.746 - "--------- this is a NOT matching model (some 'false': ---------";
   1.747 -checkContext 1  ([],Pbl)(kestoreID2guh Pbl_["linear","univariate","equation"]);
   1.748 -
   1.749 - "--------- find out a matching problem: ------------------------";
   1.750 - "--------- find out a matching problem (FAILING: no new pbl) ---";
   1.751 - refineProblem 1([],Pbl)(pblID2guh ["linear","univariate","equation"]);
   1.752 -
   1.753 - "--------- find out a matching problem (SUCCESSFUL) ------------";
   1.754 - refineProblem 1 ([],Pbl) (pblID2guh ["univariate","equation"]);
   1.755 -
   1.756 - "--------- tryMatch, tryRefine did not change the calculation -";
   1.757 - "--------- this is done by <TRANSFER> on the pbl-browser: ------";
   1.758 - setNextTactic 1 (Specify_Problem ["normalize","polynomial",
   1.759 -				 "univariate","equation"]);
   1.760 - autoCalculate 1 (Step 1);
   1.761 -(*WN050904 fetchProposedTactic again --> Specify_Problem ["normalize",...
   1.762 -  and Specify_Theory skipped in comparison to below ---^^^-inserted      *)
   1.763 -(*------------vvv-inserted-----------------------------------------------*)
   1.764 - fetchProposedTactic 1;
   1.765 - setNextTactic 1 (Specify_Problem ["normalize","polynomial",
   1.766 -				 "univariate","equation"]);
   1.767 - autoCalculate 1 (Step 1);
   1.768 -
   1.769 -(*and Specify_Theory skipped by fetchProposedTactic ?!?*)
   1.770 -
   1.771 - fetchProposedTactic 1;
   1.772 - setNextTactic 1 (Specify_Method ["PolyEq","normalize_poly"]);
   1.773 - autoCalculate 1 (Step 1);
   1.774 -
   1.775 - fetchProposedTactic 1;
   1.776 - setNextTactic 1 (Apply_Method ["PolyEq","normalize_poly"]);
   1.777 - autoCalculate 1 CompleteCalc;
   1.778 - val ((pt,_),_) = get_calc 1;
   1.779 - show_pt pt;
   1.780 - val p = get_pos 1 1;
   1.781 - val (Form f, tac, asms) = pt_extract (pt, p);
   1.782 - if term2str f = "[x = -1, x = -3]" andalso p = ([], Res) then () else 
   1.783 - raise error "FE-interface.sml: diff.behav. in tryMatchProblem, tryRefine";
   1.784 -
   1.785 -(*------------^^^-inserted-----------------------------------------------*)
   1.786 -(*WN050904 the fetchProposedTactic's below may not have worked like that
   1.787 -  before, too, because there was no check*)
   1.788 - fetchProposedTactic 1;
   1.789 - setNextTactic 1 (Specify_Theory "PolyEq.thy");
   1.790 - autoCalculate 1 (Step 1);
   1.791 -
   1.792 - fetchProposedTactic 1;
   1.793 - setNextTactic 1 (Specify_Method ["PolyEq","normalize_poly"]);
   1.794 - autoCalculate 1 (Step 1);
   1.795 -
   1.796 - fetchProposedTactic 1;
   1.797 - "--------- now the calc-header is ready for enter 'solving' ----";
   1.798 - autoCalculate 1 CompleteCalc;
   1.799 -
   1.800 - val ((pt,_),_) = get_calc 1;
   1.801 -rootthy pt;
   1.802 - show_pt pt;
   1.803 - val p = get_pos 1 1;
   1.804 - val (Form f, tac, asms) = pt_extract (pt, p);
   1.805 - if term2str f = "[x = -1, x = -3]" andalso p = ([], Res) then () else 
   1.806 - raise error "FE-interface.sml: diff.behav. in tryMatchProblem, tryRefine";
   1.807 -
   1.808 -
   1.809 -"--------- modifyCalcHead, resetCalcHead, modelProblem ------------";
   1.810 -"--------- modifyCalcHead, resetCalcHead, modelProblem ------------";
   1.811 -"--------- modifyCalcHead, resetCalcHead, modelProblem ------------";
   1.812 -
   1.813 - states:=[]; 
   1.814 - DEconstrCalcTree 1;
   1.815 - CalcTree
   1.816 - [(["equality (x+1=2)", "solveFor x","solutions L"], 
   1.817 -   ("Test.thy", 
   1.818 -    ["sqroot-test","univariate","equation","test"],
   1.819 -    ["Test","squ-equ-test-subpbl1"]))];
   1.820 - Iterator 1;
   1.821 - moveActiveRoot 1; 
   1.822 -
   1.823 - modifyCalcHead 1 (([],Pbl),(*the position from refFormula*)
   1.824 -		  "solve (x+1=2, x)",(*the headline*)
   1.825 -		  [Given ["equality (x+1=2)", "solveFor x"],
   1.826 -		   Find ["solutions L"](*,Relate []*)],
   1.827 -		  Pbl, 
   1.828 -		  ("Test.thy", 
   1.829 -		   ["sqroot-test","univariate","equation","test"],
   1.830 -		   ["Test","squ-equ-test-subpbl1"]));
   1.831 -resetCalcHead 1;
   1.832 -modelProblem 1;
   1.833 -
   1.834 -
   1.835 -"---------------- maximum-example, UC: Modeling an example -------";
   1.836 -"---------------- maximum-example, UC: Modeling an example -------";
   1.837 -"---------------- maximum-example, UC: Modeling an example -------";
   1.838 -(* {\bf\UC{Editing the Model}\label{SPECIFY:enter}\label{SPECIFY:check}\\}
   1.839 -see isac.bridge.TestModel#testEditItems
   1.840 -*)
   1.841 - val elems = ["fixedValues [r=Arbfix]","maximum A","valuesFor [a,b]",
   1.842 -	      "relations [A=a*b, (a/2)^2 + (b/2)^2 = r^2]",
   1.843 -	      "relations [A=a*b, (a/2)^2 + (b/2)^2 = r^2]",
   1.844 -	      "relations [A=a*b, a/2=r*sin alpha, b/2=r*cos alpha]",
   1.845 -	      (*^^^ these are the elements for the root-problem (in variants)*)
   1.846 -              (*vvv these are elements required for subproblems*)
   1.847 -	      "boundVariable a","boundVariable b","boundVariable alpha",
   1.848 -	      "interval {x::real. 0 <= x & x <= 2*r}",
   1.849 -	      "interval {x::real. 0 <= x & x <= 2*r}",
   1.850 -	      "interval {x::real. 0 <= x & x <= pi}",
   1.851 -	      "errorBound (eps=(0::real))"]
   1.852 - (*specifying is not interesting for this example*)
   1.853 - val spec = ("DiffApp.thy", ["maximum_of","function"], 
   1.854 -	     ["DiffApp","max_by_calculus"]);
   1.855 - (*the empty model with descriptions for user-guidance by Model_Problem*)
   1.856 - val empty_model = [Given ["fixedValues []"],
   1.857 -		    Find ["maximum", "valuesFor"],
   1.858 -		    Relate ["relations []"]];
   1.859 - states:=[];
   1.860 - DEconstrCalcTree 1;
   1.861 - CalcTree [(elems, spec)];
   1.862 - Iterator 1;
   1.863 - moveActiveRoot 1; 
   1.864 - refFormula 1 (get_pos 1 1);
   1.865 - (*this gives a completely empty model*) 
   1.866 -
   1.867 - fetchProposedTactic 1;
   1.868 -(*fill the CalcHead with Descriptions...*)
   1.869 - setNextTactic 1 (Model_Problem );
   1.870 - autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.871 -
   1.872 - (*user input is !!!!!EITHER!!!!! _some_ (at least one) items of the model 
   1.873 - !!!!!OR!!!!! _one_ part of the specification !!!!!!!!!!!!!*)
   1.874 - (*input of two items, 'fixedValues [r=Arbfix]' and 'maximum b'...*)
   1.875 - modifyCalcHead 1 (([],Pbl) (*position, from previous refFormula*),
   1.876 -		  "Problem (DiffApp.thy, [maximum_of, function])",
   1.877 -		  (*the head-form ^^^ is not used for input here*)
   1.878 -		  [Given ["fixedValues [r=Arbfix]"(*new input*)],
   1.879 -		   Find ["maximum b"(*new input*), "valuesFor"], 
   1.880 -		   Relate ["relations"]],
   1.881 -		  (*input (Arbfix will dissappear soon)*)
   1.882 -		  Pbl (*belongsto*),
   1.883 -		  e_spec (*no input to the specification*));
   1.884 -
   1.885 - (*the user does not know, what 'superfluous' for 'maximum b' may mean
   1.886 -  and asks what to do next*)
   1.887 - fetchProposedTactic 1;
   1.888 - (*the student follows the advice*)
   1.889 - setNextTactic 1 (Add_Find "maximum A"); (*FIXME.17.11.03: does not yet work*)
   1.890 -  autoCalculate 1 (Step 1); refFormula 1 (get_pos 1 1);
   1.891 - 
   1.892 - (*this input completes the model*)
   1.893 - modifyCalcHead 1 (([],Pbl), "not used here",
   1.894 -		  [Given ["fixedValues [r=Arbfix]"],
   1.895 -		   Find ["maximum A", "valuesFor [a,b]"(*new input*)], 
   1.896 -		   Relate ["relations [A=a*b, \
   1.897 -			   \(a/2)^2 + (b/2)^2 = r^2]"]], Pbl, e_spec);
   1.898 -
   1.899 - (*specification is not interesting an should be skipped by the dialogguide;
   1.900 -   !!!!!!!!!!!!!!!!!!!! input of ONE part at a time !!!!!!!!!!!!!!!!!!!!!!*)
   1.901 - modifyCalcHead 1 (([],Pbl), "not used here",
   1.902 -		  [Given ["fixedValues [r=Arbfix]"],
   1.903 -		   Find ["maximum A", "valuesFor [a,b]"(*new input*)], 
   1.904 -		   Relate ["relations [A=a*b, \
   1.905 -			   \(a/2)^2 + (b/2)^2 = r^2]"]], Pbl, 
   1.906 -		  ("DiffApp.thy", ["e_pblID"], ["e_metID"]));
   1.907 - modifyCalcHead 1 (([],Pbl), "not used here",
   1.908 -		  [Given ["fixedValues [r=Arbfix]"],
   1.909 -		   Find ["maximum A", "valuesFor [a,b]"(*new input*)], 
   1.910 -		   Relate ["relations [A=a*b, \
   1.911 -			   \(a/2)^2 + (b/2)^2 = r^2]"]], Pbl, 
   1.912 -		  ("DiffApp.thy", ["maximum_of","function"], 
   1.913 -		   ["e_metID"]));
   1.914 - modifyCalcHead 1 (([],Pbl), "not used here",
   1.915 -		  [Given ["fixedValues [r=Arbfix]"],
   1.916 -		   Find ["maximum A", "valuesFor [a,b]"(*new input*)], 
   1.917 -		   Relate ["relations [A=a*b, \
   1.918 -			   \(a/2)^2 + (b/2)^2 = r^2]"]], Pbl, 
   1.919 -		  ("DiffApp.thy", ["maximum_of","function"], 
   1.920 -		   ["DiffApp","max_by_calculus"]));
   1.921 - (*this final calcHead now has STATUS 'complete' !*)
   1.922 - DEconstrCalcTree 1;
   1.923 -
   1.924 -
   1.925 -"--------- solve_linear from pbl-hierarchy -----------------------";
   1.926 -"--------- solve_linear from pbl-hierarchy -----------------------";
   1.927 -"--------- solve_linear from pbl-hierarchy -----------------------";
   1.928 - states:=[];
   1.929 - val (fmz, sp) = ([], ("", ["linear","univariate","equation","test"], []));
   1.930 - CalcTree [(fmz, sp)];
   1.931 - Iterator 1; moveActiveRoot 1;
   1.932 - refFormula 1 (get_pos 1 1);
   1.933 - modifyCalcHead 1 (([],Pbl),"solve (1+-1*2+x=0)",
   1.934 -		  [Given ["equality (1+-1*2+x=0)", "solveFor x"],
   1.935 -		   Find ["solutions L"]],
   1.936 -		  Pbl, 
   1.937 -		  ("Test.thy", ["linear","univariate","equation","test"],
   1.938 -		   ["Test","solve_linear"]));
   1.939 - autoCalculate 1 CompleteCalc;
   1.940 - refFormula 1 (get_pos 1 1);
   1.941 - val ((pt,_),_) = get_calc 1;
   1.942 - val p = get_pos 1 1;
   1.943 - val (Form f, tac, asms) = pt_extract (pt, p);
   1.944 - if term2str f = "[x = 1]" andalso p = ([], Res) then () else 
   1.945 - raise error "FE-interface.sml: diff.behav. in from pbl-hierarchy";
   1.946 - 
   1.947 -
   1.948 -
   1.949 -"--------- solve_linear as in an algebra system (CAS)-------------";
   1.950 -"--------- solve_linear as in an algebra system (CAS)-------------";
   1.951 -"--------- solve_linear as in an algebra system (CAS)-------------";
   1.952 - states:=[];
   1.953 - val (fmz, sp) = ([], ("", [], []));
   1.954 - CalcTree [(fmz, sp)];
   1.955 - Iterator 1; moveActiveRoot 1;
   1.956 - modifyCalcHead 1 (([],Pbl),"solveTest (1+-1*2+x=0,x)", [], Pbl, ("", [], []));
   1.957 - autoCalculate 1 CompleteCalc;
   1.958 - refFormula 1 (get_pos 1 1);
   1.959 - val ((pt,_),_) = get_calc 1;
   1.960 - val p = get_pos 1 1;
   1.961 - val (Form f, tac, asms) = pt_extract (pt, p);
   1.962 - if term2str f = "[x = 1]" andalso p = ([], Res) then () else 
   1.963 - raise error "FE-interface.sml: diff.behav. in algebra system";
   1.964 -
   1.965 -
   1.966 -
   1.967 -"--------- interSteps: on 'miniscript with mini-subpbl' ----------";
   1.968 -"--------- interSteps: on 'miniscript with mini-subpbl' ----------";
   1.969 -"--------- interSteps: on 'miniscript with mini-subpbl' ----------";
   1.970 - states:=[];
   1.971 - CalcTree
   1.972 - [(["equality (x+1=2)", "solveFor x","solutions L"], 
   1.973 -   ("Test.thy", 
   1.974 -    ["sqroot-test","univariate","equation","test"],
   1.975 -    ["Test","squ-equ-test-subpbl1"]))];
   1.976 - Iterator 1;
   1.977 - moveActiveRoot 1;
   1.978 - autoCalculate 1 CompleteCalc; 
   1.979 - val ((pt,_),_) = get_calc 1;
   1.980 - show_pt pt;
   1.981 -
   1.982 - (*UC\label{SOLVE:INFO:intermediate-steps}*)
   1.983 - interSteps 1 ([2],Res);
   1.984 - val ((pt,_),_) = get_calc 1; show_pt pt (*new ([2,1],Frm)..([2,6],Res)*);
   1.985 - val (unc, del, gen) = (([1],Res),([1],Res),([2,6],Res));
   1.986 - getFormulaeFromTo 1 unc gen 1 false; 
   1.987 -
   1.988 - (*UC\label{SOLVE:INFO:intermediate-steps}*)
   1.989 - interSteps 1 ([3,2],Res);
   1.990 - val ((pt,_),_) = get_calc 1; show_pt pt (*new ([3,2,1],Frm)..([3,2,2],Res)*);
   1.991 - val (unc, del, gen) = (([3,1],Res),([3,1],Res),([3,2,2],Res));
   1.992 - getFormulaeFromTo 1 unc gen 1 false; 
   1.993 -
   1.994 - (*UC\label{SOLVE:INFO:intermediate-steps}*)
   1.995 - interSteps 1 ([3],Res)  (*no new steps in subproblems*);
   1.996 - val (unc, del, gen) = (([3],Pbl),([3],Pbl),([3,2],Res));
   1.997 - getFormulaeFromTo 1 unc gen 1 false; 
   1.998 -
   1.999 - (*UC\label{SOLVE:INFO:intermediate-steps}*)
  1.1000 - interSteps 1 ([],Res)  (*no new steps in subproblems*);
  1.1001 - val (unc, del, gen) = (([],Pbl),([],Pbl),([4],Res));
  1.1002 - getFormulaeFromTo 1 unc gen 1 false; 
  1.1003 -
  1.1004 -
  1.1005 -"--------- getTactic, fetchApplicableTactics ---------------------";
  1.1006 -"--------- getTactic, fetchApplicableTactics ---------------------";
  1.1007 -"--------- getTactic, fetchApplicableTactics ---------------------";
  1.1008 - states:=[];
  1.1009 - CalcTree
  1.1010 - [(["equality (x+1=2)", "solveFor x","solutions L"], 
  1.1011 -   ("Test.thy", 
  1.1012 -    ["sqroot-test","univariate","equation","test"],
  1.1013 -    ["Test","squ-equ-test-subpbl1"]))];
  1.1014 - Iterator 1; moveActiveRoot 1;
  1.1015 - autoCalculate 1 CompleteCalc;
  1.1016 - val ((pt,_),_) = get_calc 1;
  1.1017 - show_pt pt;
  1.1018 -
  1.1019 - (*UC\label{SOLVE:HIDE:getTactic}*)
  1.1020 - getTactic 1 ([],Pbl);
  1.1021 - getTactic 1 ([1],Res);
  1.1022 - getTactic 1 ([3],Pbl);
  1.1023 - getTactic 1 ([3,1],Frm);
  1.1024 - getTactic 1 ([3],Res);
  1.1025 - getTactic 1 ([],Res);
  1.1026 -
  1.1027 -(*UC\label{SOLVE:MANUAL:TACTIC:listall}*)
  1.1028 - fetchApplicableTactics 1 99999 ([],Pbl);
  1.1029 - fetchApplicableTactics 1 99999 ([1],Res);
  1.1030 - fetchApplicableTactics 1 99999 ([3],Pbl);
  1.1031 - fetchApplicableTactics 1 99999 ([3,1],Res);
  1.1032 - fetchApplicableTactics 1 99999 ([3],Res);
  1.1033 - fetchApplicableTactics 1 99999 ([],Res);
  1.1034 -
  1.1035 -
  1.1036 -"--------- getAssumptions, getAccumulatedAsms --------------------";
  1.1037 -"--------- getAssumptions, getAccumulatedAsms --------------------";
  1.1038 -"--------- getAssumptions, getAccumulatedAsms --------------------";
  1.1039 -states:=[];
  1.1040 -CalcTree
  1.1041 -[(["equality (x/(x^2 - 6*x+9) - 1/(x^2 - 3*x) =1/x)",
  1.1042 -	   "solveFor x","solutions L"], 
  1.1043 -  ("RatEq.thy",["univariate","equation"],["no_met"]))];
  1.1044 -Iterator 1; moveActiveRoot 1;
  1.1045 -autoCalculate 1 CompleteCalc; 
  1.1046 -val ((pt,_),_) = get_calc 1;
  1.1047 -show_pt pt;
  1.1048 -
  1.1049 -(*UC\label{SOLVE:HELP:assumptions}*)
  1.1050 -getAssumptions 1 ([3], Res);
  1.1051 -getAssumptions 1 ([5], Res);
  1.1052 -(*UC\label{SOLVE:HELP:assumptions-origin} WN0502 still without positions*)
  1.1053 -getAccumulatedAsms 1 ([3], Res);
  1.1054 -getAccumulatedAsms 1 ([5], Res);
  1.1055 -
  1.1056 -
  1.1057 -"--------- arbitrary combinations of steps -----------------------";
  1.1058 -"--------- arbitrary combinations of steps -----------------------";
  1.1059 -"--------- arbitrary combinations of steps -----------------------";
  1.1060 - states:=[];
  1.1061 - CalcTree      (*start of calculation, return No.1*)
  1.1062 -     [(["equality (1+-1*2+x=0)", "solveFor x","solutions L"],
  1.1063 -       ("Test.thy", 
  1.1064 -	["linear","univariate","equation","test"],
  1.1065 -	["Test","solve_linear"]))];
  1.1066 - Iterator 1; moveActiveRoot 1;
  1.1067 -
  1.1068 - fetchProposedTactic 1;
  1.1069 - setNextTactic 1 (Model_Problem );
  1.1070 - autoCalculate 1 (Step 1); 
  1.1071 -
  1.1072 - fetchProposedTactic 1;
  1.1073 - fetchProposedTactic 1;
  1.1074 -
  1.1075 - setNextTactic 1 (Add_Find "solutions L");
  1.1076 - setNextTactic 1 (Add_Find "solutions L");
  1.1077 -
  1.1078 - autoCalculate 1 (Step 1); 
  1.1079 - autoCalculate 1 (Step 1); 
  1.1080 -
  1.1081 - setNextTactic 1 (Specify_Theory "Test.thy");
  1.1082 - fetchProposedTactic 1;
  1.1083 - autoCalculate 1 (Step 1); 
  1.1084 -
  1.1085 - autoCalculate 1 (Step 1); 
  1.1086 - autoCalculate 1 (Step 1); 
  1.1087 - autoCalculate 1 (Step 1); 
  1.1088 - autoCalculate 1 (Step 1); 
  1.1089 -(*------------------------- end calc-head*)
  1.1090 -
  1.1091 - fetchProposedTactic 1;
  1.1092 - setNextTactic 1 (Rewrite_Set_Inst (["(bdv,x)"], "isolate_bdv"));
  1.1093 - autoCalculate 1 (Step 1); 
  1.1094 -
  1.1095 - setNextTactic 1 (Rewrite_Set "Test_simplify");
  1.1096 - fetchProposedTactic 1;
  1.1097 - autoCalculate 1 (Step 1); 
  1.1098 -
  1.1099 - autoCalculate 1 CompleteCalc; 
  1.1100 - val ((pt,_),_) = get_calc 1;
  1.1101 - val p = get_pos 1 1;
  1.1102 - val (Form f, tac, asms) = pt_extract (pt, p);
  1.1103 - if term2str f = "[x = 1]" andalso p = ([], Res) then () else 
  1.1104 - raise error "FE-interface.sml: diff.behav. in combinations of steps";
  1.1105 -
  1.1106 -
  1.1107 -"--------- appendFormula label{SOLVE:MANUAL:FORMULA:enter} right--";
  1.1108 -"--------- appendFormula label{SOLVE:MANUAL:FORMULA:enter} right--";
  1.1109 -"--------- appendFormula label{SOLVE:MANUAL:FORMULA:enter} right--";
  1.1110 - states:=[];
  1.1111 - CalcTree
  1.1112 - [(["equality (x+1=2)", "solveFor x","solutions L"], 
  1.1113 -   ("Test.thy", 
  1.1114 -    ["sqroot-test","univariate","equation","test"],
  1.1115 -    ["Test","squ-equ-test-subpbl1"]))];
  1.1116 - Iterator 1;
  1.1117 - moveActiveRoot 1;
  1.1118 - autoCalculate 1 CompleteCalcHead;
  1.1119 - autoCalculate 1 (Step 1);
  1.1120 - autoCalculate 1 (Step 1);
  1.1121 - appendFormula 1 "-1 + x = 0";  
  1.1122 - (*... returns calcChangedEvent with*)
  1.1123 - val (unc, del, gen) = (([1],Res), ([1],Res), ([2],Res));
  1.1124 - getFormulaeFromTo 1 unc gen 99999 (*all levels*) false;
  1.1125 -
  1.1126 - val ((pt,_),_) = get_calc 1;
  1.1127 - val p = get_pos 1 1;
  1.1128 - val (Form f, tac, asms) = pt_extract (pt, p);
  1.1129 - if term2str f = "-1 + x = 0" andalso p = ([2], Res) then () else 
  1.1130 - raise error "FE-interface.sml: diff.behav. in FORMULA:enter} right";
  1.1131 -
  1.1132 -"--------- appendFormula label{SOLVE:MANUAL:FORMULA:enter} other--";
  1.1133 -"--------- appendFormula label{SOLVE:MANUAL:FORMULA:enter} other--";
  1.1134 -"--------- appendFormula label{SOLVE:MANUAL:FORMULA:enter} other--";
  1.1135 - states:=[];
  1.1136 - CalcTree
  1.1137 - [(["equality (x+1=2)", "solveFor x","solutions L"], 
  1.1138 -   ("Test.thy", 
  1.1139 -    ["sqroot-test","univariate","equation","test"],
  1.1140 -    ["Test","squ-equ-test-subpbl1"]))];
  1.1141 - Iterator 1;
  1.1142 - moveActiveRoot 1;
  1.1143 - autoCalculate 1 CompleteCalcHead;
  1.1144 - autoCalculate 1 (Step 1);
  1.1145 - autoCalculate 1 (Step 1);
  1.1146 - appendFormula 1 "x - 1 = 0"; 
  1.1147 - val (unc, del, gen) = (([1],Res), ([1],Res), ([2],Res));
  1.1148 - getFormulaeFromTo 1 unc gen 99999 (*all levels*) false;
  1.1149 - (*11 elements !!!*)
  1.1150 -
  1.1151 - val ((pt,_),_) = get_calc 1;
  1.1152 - val p = get_pos 1 1;
  1.1153 - val (Form f, tac, asms) = pt_extract (pt, p);
  1.1154 - if term2str f = "x - 1 = 0" andalso p = ([2], Res) then () else 
  1.1155 - raise error "FE-interface.sml: diff.behav. in FORMULA:enter} other";
  1.1156 -
  1.1157 -"--------- appendFormula label{SOLVE:MANUAL:FORMULA:enter} oth 2--";
  1.1158 -"--------- appendFormula label{SOLVE:MANUAL:FORMULA:enter} oth 2--";
  1.1159 -"--------- appendFormula label{SOLVE:MANUAL:FORMULA:enter} oth 2--";
  1.1160 - states:=[];
  1.1161 - CalcTree
  1.1162 - [(["equality (x+1=2)", "solveFor x","solutions L"], 
  1.1163 -   ("Test.thy", 
  1.1164 -    ["sqroot-test","univariate","equation","test"],
  1.1165 -    ["Test","squ-equ-test-subpbl1"]))];
  1.1166 - Iterator 1;
  1.1167 - moveActiveRoot 1;
  1.1168 - autoCalculate 1 CompleteCalcHead;
  1.1169 - autoCalculate 1 (Step 1);
  1.1170 - autoCalculate 1 (Step 1);
  1.1171 - appendFormula 1 "x = 1"; 
  1.1172 - (*... returns calcChangedEvent with*)
  1.1173 - val (unc, del, gen) = (([1],Res), ([1],Res), ([3,2],Res));
  1.1174 - getFormulaeFromTo 1 unc gen 99999 (*all levels*) false;
  1.1175 - (*6 elements !!!*)
  1.1176 -
  1.1177 - val ((pt,_),_) = get_calc 1;
  1.1178 - val p = get_pos 1 1;
  1.1179 - val (Form f, tac, asms) = pt_extract (pt, p);
  1.1180 - if term2str f = "x = 1" andalso p = ([3,2], Res) then () else 
  1.1181 - raise error "FE-interface.sml: diff.behav. in FORMULA:enter} oth 2";
  1.1182 -
  1.1183 -
  1.1184 -"--------- appendFormula label{SOLVE:MANUAL:FORMULA:enter} NOTok--";
  1.1185 -"--------- appendFormula label{SOLVE:MANUAL:FORMULA:enter} NOTok--";
  1.1186 -"--------- appendFormula label{SOLVE:MANUAL:FORMULA:enter} NOTok--";
  1.1187 - states:=[];
  1.1188 - CalcTree
  1.1189 - [(["equality (x+1=2)", "solveFor x","solutions L"], 
  1.1190 -   ("Test.thy", 
  1.1191 -    ["sqroot-test","univariate","equation","test"],
  1.1192 -    ["Test","squ-equ-test-subpbl1"]))];
  1.1193 - Iterator 1;
  1.1194 - moveActiveRoot 1;
  1.1195 - autoCalculate 1 CompleteCalcHead;
  1.1196 - autoCalculate 1 (Step 1);
  1.1197 - autoCalculate 1 (Step 1);
  1.1198 - appendFormula 1 "x - 4711 = 0"; 
  1.1199 - (*... returns <ERROR> no derivation found </ERROR>*)
  1.1200 -
  1.1201 - val ((pt,_),_) = get_calc 1;
  1.1202 - val p = get_pos 1 1;
  1.1203 - val (Form f, tac, asms) = pt_extract (pt, p);
  1.1204 - if term2str f = "x + 1 + -1 * 2 = 0" andalso p = ([1], Res) then () else 
  1.1205 - raise error "FE-interface.sml: diff.behav. in FORMULA:enter} NOTok";
  1.1206 -
  1.1207 -
  1.1208 -"--------- replaceFormula {SOLVE:MANUAL:FORMULA:replace} right----";
  1.1209 -"--------- replaceFormula {SOLVE:MANUAL:FORMULA:replace} right----";
  1.1210 -"--------- replaceFormula {SOLVE:MANUAL:FORMULA:replace} right----";
  1.1211 - states:=[];
  1.1212 - CalcTree
  1.1213 - [(["equality (x+1=2)", "solveFor x","solutions L"], 
  1.1214 -   ("Test.thy", 
  1.1215 -    ["sqroot-test","univariate","equation","test"],
  1.1216 -    ["Test","squ-equ-test-subpbl1"]))];
  1.1217 - Iterator 1;
  1.1218 - moveActiveRoot 1;
  1.1219 - autoCalculate 1 CompleteCalc;
  1.1220 - moveActiveFormula 1 ([2],Res);
  1.1221 - replaceFormula 1 "-1 + x = 0" (*i.e. repeats input*);
  1.1222 - (*... returns <ERROR> formula not changed </ERROR>*)
  1.1223 -
  1.1224 - val ((pt,_),_) = get_calc 1;
  1.1225 - val p = get_pos 1 1;
  1.1226 - val (Form f, tac, asms) = pt_extract (pt, p);
  1.1227 - if term2str f = "-1 + x = 0" andalso p = ([2], Res) then () else 
  1.1228 - raise error "FE-interface.sml: diff.behav. in FORMULA:replace} right 1";
  1.1229 - if map fst (get_interval ([2],Res) ([],Res) 9999 pt) = 
  1.1230 -    [([2], Res), ([3], Pbl), ([3, 1], Frm), ([3, 1], Res), ([3, 2], Res),
  1.1231 -     ([3], Res), ([4], Res), ([], Res)] then () (*nothing deleted!*) else
  1.1232 - raise error "FE-interface.sml: diff.behav. in FORMULA:replace} right 2";
  1.1233 - 
  1.1234 -(*WN050211 replaceFormula didn't work on second ctree: thus now tested...*)
  1.1235 - CalcTree
  1.1236 - [(["equality (x+1=2)", "solveFor x","solutions L"], 
  1.1237 -   ("Test.thy", 
  1.1238 -    ["sqroot-test","univariate","equation","test"],
  1.1239 -    ["Test","squ-equ-test-subpbl1"]))];
  1.1240 - Iterator 2;
  1.1241 - moveActiveRoot 2;
  1.1242 - autoCalculate 2 CompleteCalc;
  1.1243 - moveActiveFormula 2 ([2],Res);
  1.1244 - replaceFormula 2 "-1 + x = 0" (*i.e. repeats input*);
  1.1245 - (*... returns <ERROR> formula not changed </ERROR>*)
  1.1246 -
  1.1247 - val ((pt,_),_) = get_calc 2;
  1.1248 - val p = get_pos 2 1;
  1.1249 - val (Form f, tac, asms) = pt_extract (pt, p);
  1.1250 - if term2str f = "-1 + x = 0" andalso p = ([2], Res) then () else 
  1.1251 - raise error "FE-interface.sml: diff.behav. in FORMULA:replace} right 1";
  1.1252 - if map fst (get_interval ([2],Res) ([],Res) 9999 pt) = 
  1.1253 -    [([2], Res), ([3], Pbl), ([3, 1], Frm), ([3, 1], Res), ([3, 2], Res),
  1.1254 -     ([3], Res), ([4], Res), ([], Res)] then () (*nothing deleted!*) else
  1.1255 - raise error "FE-interface.sml: diff.behav. in FORMULA:replace} right 2b";
  1.1256 -
  1.1257 -"--------- replaceFormula {SOLVE:MANUAL:FORMULA:replace} other----";
  1.1258 -"--------- replaceFormula {SOLVE:MANUAL:FORMULA:replace} other----";
  1.1259 -"--------- replaceFormula {SOLVE:MANUAL:FORMULA:replace} other----";
  1.1260 - states:=[];
  1.1261 - CalcTree
  1.1262 - [(["equality (x+1=2)", "solveFor x","solutions L"], 
  1.1263 -   ("Test.thy", 
  1.1264 -    ["sqroot-test","univariate","equation","test"],
  1.1265 -    ["Test","squ-equ-test-subpbl1"]))];
  1.1266 - Iterator 1;
  1.1267 - moveActiveRoot 1;
  1.1268 - autoCalculate 1 CompleteCalc;
  1.1269 - moveActiveFormula 1 ([2],Res); (*there is "-1 + x = 0"*)
  1.1270 - replaceFormula 1 "x - 1 = 0"; (*<-------------------------------------*)
  1.1271 - (*... returns calcChangedEvent with*)
  1.1272 - val (unc, del, gen) = (([1],Res), ([4],Res), ([2],Res));
  1.1273 - getFormulaeFromTo 1 unc gen 99999 (*all levels*) false;
  1.1274 -
  1.1275 - val ((pt,_),_) = get_calc 1;
  1.1276 - show_pt pt;
  1.1277 - val p = get_pos 1 1;
  1.1278 - val (Form f, tac, asms) = pt_extract (pt, p);
  1.1279 - if term2str f = "x - 1 = 0" andalso p = ([2], Res) then () else 
  1.1280 - raise error "FE-interface.sml: diff.behav. in FORMULA:replace} other 1";
  1.1281 -(* for getting the list in whole length ...
  1.1282 -print_depth 99;map fst (get_interval ([1],Res) ([],Res) 9999 pt);print_depth 3;
  1.1283 -   *)
  1.1284 - if map fst (get_interval ([1],Res) ([],Res) 9999 pt) = 
  1.1285 -    [([1], Res), ([2, 1], Frm), ([2, 1], Res), ([2, 2], Res), ([2, 3], Res),
  1.1286 -      ([2, 4], Res), ([2, 5], Res), ([2, 6], Res), ([2, 7], Res),
  1.1287 -      ([2, 8], Res), ([2, 9], Res), ([2], Res)
  1.1288 -(*WN060727 {cutlevup->test_trans} removed: , 
  1.1289 -      ([], Res)(*dropped, if test_trans doesnt stop at PblNd*)*)] then () else
  1.1290 - raise error "FE-interface.sml: diff.behav. in FORMULA:replace} other 2";
  1.1291 -
  1.1292 -
  1.1293 -
  1.1294 -"--------- replaceFormula {SOLVE:MANUAL:FORMULA:replace} other 2--";
  1.1295 -"--------- replaceFormula {SOLVE:MANUAL:FORMULA:replace} other 2--";
  1.1296 -"--------- replaceFormula {SOLVE:MANUAL:FORMULA:replace} other 2--";
  1.1297 - states:=[];
  1.1298 - CalcTree
  1.1299 - [(["equality (x+1=2)", "solveFor x","solutions L"], 
  1.1300 -   ("Test.thy", 
  1.1301 -    ["sqroot-test","univariate","equation","test"],
  1.1302 -    ["Test","squ-equ-test-subpbl1"]))];
  1.1303 - Iterator 1;
  1.1304 - moveActiveRoot 1;
  1.1305 - autoCalculate 1 CompleteCalc;
  1.1306 - moveActiveFormula 1 ([2],Res); (*there is "-1 + x = 0"*)
  1.1307 - replaceFormula 1 "x = 1"; (*<-------------------------------------*)
  1.1308 - (*... returns calcChangedEvent with ...*)
  1.1309 - val (unc, del, gen) = (([1],Res), ([4],Res), ([3,2],Res));
  1.1310 - getFormulaeFromTo 1 unc gen 99999 (*all levels*) false;
  1.1311 - (*9 elements !!!*)
  1.1312 -
  1.1313 - val ((pt,_),_) = get_calc 1;
  1.1314 - show_pt pt; (*error: ...get_interval drops ([3,2],Res) ...*)
  1.1315 - val (t,_) = get_obj g_result pt [3,2]; term2str t;
  1.1316 -  if map fst (get_interval ([1],Res) ([],Res) 9999 pt) = 
  1.1317 -    [([1], Res), ([2], Res), ([3], Pbl), ([3, 1], Frm), ([3, 1], Res),
  1.1318 -      ([3, 2, 1], Frm), ([3, 2, 1], Res), ([3, 2, 2], Res), 
  1.1319 -      ([3,2],Res)] then () else
  1.1320 - raise error "FE-interface.sml: diff.behav. in FORMULA:replace} oth2 1";
  1.1321 -
  1.1322 - val p = get_pos 1 1;
  1.1323 - val (Form f, tac, asms) = pt_extract (pt, p);
  1.1324 - if term2str f = "x = 1" andalso p = ([3,2], Res) then () else 
  1.1325 - raise error "FE-interface.sml: diff.behav. in FORMULA:replace} oth2 2";
  1.1326 -
  1.1327 -
  1.1328 -
  1.1329 -"--------- replaceFormula {SOLVE:MANUAL:FORMULA:replace} NOTok----";
  1.1330 -"--------- replaceFormula {SOLVE:MANUAL:FORMULA:replace} NOTok----";
  1.1331 -"--------- replaceFormula {SOLVE:MANUAL:FORMULA:replace} NOTok----";
  1.1332 - states:=[];
  1.1333 - CalcTree
  1.1334 - [(["equality (x+1=2)", "solveFor x","solutions L"], 
  1.1335 -   ("Test.thy", 
  1.1336 -    ["sqroot-test","univariate","equation","test"],
  1.1337 -    ["Test","squ-equ-test-subpbl1"]))];
  1.1338 - Iterator 1;
  1.1339 - moveActiveRoot 1;
  1.1340 - autoCalculate 1 CompleteCalc;
  1.1341 - moveActiveFormula 1 ([2],Res); (*there is "-1 + x = 0"*)
  1.1342 - replaceFormula 1 "x - 4711 = 0"; 
  1.1343 - (*... returns <ERROR> no derivation found </ERROR>*)
  1.1344 -
  1.1345 - val ((pt,_),_) = get_calc 1;
  1.1346 - show_pt pt;
  1.1347 - val p = get_pos 1 1;
  1.1348 - val (Form f, tac, asms) = pt_extract (pt, p);
  1.1349 - if term2str f = "-1 + x = 0" andalso p = ([2], Res) then () else 
  1.1350 - raise error "FE-interface.sml: diff.behav. in FORMULA:replace} NOTok";
  1.1351 -
  1.1352 -