test/Tools/isac/Frontend/interface.sml
branchisac-update-Isa09-2
changeset 37960 ec20007095f2
parent 37926 e6fc98fbcb85
child 38031 460c24a6a6ba
     1.1 --- /dev/null	Thu Jan 01 00:00:00 1970 +0000
     1.2 +++ b/test/Tools/isac/Frontend/interface.sml	Mon Aug 30 14:35:51 2010 +0200
     1.3 @@ -0,0 +1,1349 @@
     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 +