neuper@37906: (* 
neuper@37906: 
neuper@37906: use"../smltest/IsacKnowledge/diff.sml";
neuper@37906: use"diff.sml";
neuper@37906: *)
neuper@37906: 
neuper@38081: "--------------------------------------------------------";
neuper@38081: "--------------------------------------------------------";
neuper@38081: "table of contents --------------------------------------";
neuper@38081: "--------------------------------------------------------";
neuper@38081: "----------- problemtype --------------------------------";
neuper@38081: "----------- for correction of diff_const ---------------";
neuper@38081: "----------- for correction of diff_quot ----------------";
neuper@38081: "----------- differentiate by rewrite -------------------";
neuper@38081: "----------- differentiate: me (*+ tacs input*) ---------";
neuper@38081: "----------- 1.5.02 me from script ----------------------";
neuper@38081: "----------- primed id ----------------------------------";
neuper@38081: "----------- diff_conv, sym_diff_conv -------------------";
wneuper@59248: "----------- autoCalculate differentiate_on_R 2/x^2 -----";
wneuper@59248: "----------- autoCalculate diff after_simplification ----";
wneuper@59248: "----------- autoCalculate differentiate_equality -------";
neuper@38081: "----------- tests for examples -------------------------";
wneuper@59562: "------------inform for x^2+x+1 -------------------------";
neuper@38081: "--------------------------------------------------------";
neuper@38081: "--------------------------------------------------------";
neuper@38081: "--------------------------------------------------------";
neuper@37906: 
neuper@37906: 
neuper@41929: val thy = @{theory "Diff"};
neuper@37906: 
neuper@38081: "----------- problemtype --------------------------------";
neuper@38081: "----------- problemtype --------------------------------";
neuper@38081: "----------- problemtype --------------------------------";
neuper@37994: val pbt = {Given =["functionTerm f_f", "differentiateFor v_v"],
neuper@37906: 	   Where =[],
neuper@37994: 	   Find  =["derivative f_f'"],
neuper@37906: 	   With  =[],
neuper@37906: 	   Relate=[]}:string ppc;
neuper@38081: val chkpbt = ((map (the o (parse thy))) o ppc2list) pbt;
neuper@37906: 
neuper@37906: val org = ["functionTerm (d_d x (x ^^^ 2 + 3 * x + 4))", 
neuper@37994: 	   "differentiateFor x","derivative f_f'"];
neuper@38081: val chkorg = map (the o (parse thy)) org;
neuper@37906: 
neuper@37906: get_pbt ["derivative_of","function"];
neuper@37906: get_met ["diff","differentiate_on_R"];
neuper@37906: 
neuper@38081: "----------- for correction of diff_const ---------------";
neuper@38081: "----------- for correction of diff_const ---------------";
neuper@38081: "----------- for correction of diff_const ---------------";
neuper@37906: (*re-evaluate this file, otherwise > *** ME_Isa: 'erls' not known*)
wneuper@59384: val t = (Thm.term_of o the o (parse thy)) "Not (x =!= a)";
wneuper@59384: case rewrite_set_ thy false erls_diff t of
wneuper@59384:   SOME (Const ("HOL.True", _), []) => ()
wneuper@59384: | _ => error "rewrite_set_  Not (x =!= a)  changed";
neuper@37906: 
wneuper@59384: val t =(Thm.term_of o the o (parse thy)) "2 is_const";
wneuper@59384: case rewrite_set_ thy false erls_diff t of
wneuper@59384:   SOME (Const ("HOL.True", _), []) => ()
wneuper@59384: | _ => error "rewrite_set_   2 is_const   changed";
neuper@37906: 
wneuper@59384: val thm = diff_const;
wneuper@59384: val ct = (Thm.term_of o the o (parse thy)) "d_d x x";
walther@59656: val subst = [(@{term "bdv::real"}, @{term "x::real"})];
wneuper@59384: val NONE = (rewrite_inst_ thy tless_true erls_diff false subst thm ct);
neuper@37906: 
neuper@38081: "----------- for correction of diff_quot ----------------";
neuper@38081: "----------- for correction of diff_quot ----------------";
neuper@38081: "----------- for correction of diff_quot ----------------";
wneuper@59384: val thy = @{theory "Diff"};
wneuper@59384: val ct = (Thm.term_of o the o (parse thy)) "Not (x = 0)";
wneuper@59384: rewrite_set_ thy false erls_diff ct;
neuper@37906: 
wneuper@59384: val ct = (Thm.term_of o the o (parse thy)) "d_d x ((x+1) / (x - 1))";
wneuper@59384: val thm = @{thm diff_quot};
neuper@37926: val SOME (ctt,_) =
wneuper@59384:     (rewrite_inst_ thy tless_true erls_diff true subst thm ct);
neuper@37906: 
neuper@38081: "----------- differentiate by rewrite -------------------";
neuper@38081: "----------- differentiate by rewrite -------------------";
neuper@38081: "----------- differentiate by rewrite -------------------";
wneuper@59384: val thy = @{theory "Diff"};
wneuper@59384: val ct = (Thm.term_of o the o (parse thy)) "d_d x (x ^^^ 2 + 3 * x + 4)";
neuper@37906: "--- 1 ---";
wneuper@59384: val thm = @{thm "diff_sum"};
wneuper@59384: val (ct, _) = the (rewrite_inst_ thy tless_true erls_diff true subst thm ct);
neuper@37906: "--- 2 ---";
wneuper@59384: val (ct, _) = the (rewrite_inst_ thy tless_true erls_diff true subst thm ct);
neuper@37906: "--- 3 ---";
wneuper@59384: val thm = @{thm "diff_prod_const"};
wneuper@59384: val (ct, _) = the (rewrite_inst_ thy tless_true erls_diff true subst thm ct);
neuper@37906: "--- 4 ---";
wneuper@59384: val thm = @{thm "diff_pow"};
wneuper@59384: val (ct, _) = the (rewrite_inst_ thy tless_true erls_diff true subst thm ct);
neuper@37906: "--- 5 ---";
wneuper@59384: val thm = @{thm "diff_const"};
wneuper@59384: val (ct, _) = the (rewrite_inst_ thy tless_true erls_diff true subst thm ct);
neuper@37906: "--- 6 ---";
wneuper@59384: val thm = @{thm "diff_var"};
wneuper@59384: val (ct, _) = the (rewrite_inst_ thy tless_true erls_diff true subst thm ct);
walther@59868: if UnparseC.term ct = "2 * x ^^^ (2 - 1) + 3 * 1 + 0" then ()
neuper@38031: else error "diff.sml diff.behav. in rewrite 1";
neuper@37906: "--- 7 ---";
wneuper@59384: "--- 7 ---";
wneuper@59384: val rls = Test_simplify;
wneuper@59384: val ct = (Thm.term_of o the o (parse thy)) "2 * x ^^^ (2 - 1) + 3 * 1 + 0";
wneuper@59384: val (ct, _) = the (rewrite_set_ thy true rls ct);
walther@59868: if UnparseC.term ct = "3 + 2 * x" then () else error "rewrite_set_ Test_simplify 2 changed";
neuper@37906: 
neuper@38081: "----------- differentiate: me (*+ tacs input*) ---------";
neuper@38081: "----------- differentiate: me (*+ tacs input*) ---------";
neuper@38081: "----------- differentiate: me (*+ tacs input*) ---------";
neuper@37906: val fmz = ["functionTerm (x ^^^ 2 + 3 * x + 4)", 
neuper@37994: 	   "differentiateFor x","derivative f_f'"];
neuper@37906: val (dI',pI',mI') =
neuper@37991:   ("Diff",["derivative_of","function"],
neuper@37906:    ["diff","diff_simpl"]);
neuper@37906: val p = e_pos'; val c = []; 
neuper@37906: "--- s1 ---";
neuper@37906: val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: "--- s2 ---";
neuper@37906: (*val nxt = ("Add_Given",
neuper@37906: Add_Given "functionTerm (d_d x (x ^^^ #2 + #3 * x + #4))");*)
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: "--- s3 ---";
neuper@37906: (*val nxt = ("Add_Given",Add_Given "differentiateFor x");*)
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: "--- s4 ---";
neuper@37994: (*val nxt = ("Add_Find",Add_Find "derivative f_f'");*)
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: "--- s5 ---";
neuper@37906: (*val nxt = ("Specify_Theory",Specify_Theory dI');*)
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: "--- s6 ---";
neuper@37906: (*val nxt = ("Specify_Problem",Specify_Problem pI');*)
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: "--- s7 ---";
neuper@37906: (*val nxt = ("Specify_Method",Specify_Method mI');*)
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: "--- s8 ---";
neuper@37906: (*val nxt = ("Apply_Method",Apply_Method mI');*)
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: "--- 1 ---";
wneuper@59497: (*val nxt = ("Rewrite_Inst",Rewrite_Inst (["(''bdv'',x)"],("diff_sum","")));*)
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: "--- 2 ---";
wneuper@59497: (*val nxt = ("Rewrite_Inst",Rewrite_Inst (["(''bdv'',x)"],("diff_sum","")));*)
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: (*val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;*)
neuper@37906: "--- 3 ---";
wneuper@59497: (*val nxt = ("Rewrite_Inst",Rewrite_Inst (["(''bdv'',x)"],("diff_prod_const",...;*)
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: (*val (p,_,f,nxt,_,pt) = me nxt p c pt;*)
neuper@37906: "--- 4 ---";
wneuper@59497: (*val nxt = ("Rewrite_Inst",Rewrite_Inst (["(''bdv'',x)"],("diff_pow","")));*)
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: (*val (p,_,f,nxt,_,pt) = me nxt p c pt;*)
neuper@37906: "--- 5 ---";
wneuper@59497: (*val nxt = ("Rewrite_Inst",Rewrite_Inst (["(''bdv'',x)"],("diff_prod_const",...;*)
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: (*val (p,_,f,nxt,_,pt) = me nxt p c pt;*)
neuper@37906: "--- 6 ---";
wneuper@59497: (*val nxt = ("Rewrite_Inst",Rewrite_Inst (["(''bdv'',x)"],("diff_var","")));*)
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt; 
neuper@37906: if f2str f =  "2 * x ^^^ (2 - 1) + 3 * 1 + 0" then () 
neuper@38031: else error "diff.sml: diff.behav. in d_d x ^^^ 2 + 3 * x + 4";
neuper@37906: "--- 7 ---";
neuper@37906: (*val nxt = ("Rewrite_Set",Rewrite_Set "make_polynomial");*)
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: "--- 8 ---";
neuper@42393: (*val nxt = ("Check_Postcond",Check_Postcond ("Diff","differentiate_on_R"));*)
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: "--- 9 ---";
neuper@37906: (*val nxt = ("End_Proof'",End_Proof');*)
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt; f2str f;
wneuper@59253: if f2str f = "3 + 2 * x"
walther@59749:   then case nxt of End_Proof' => ()
wneuper@59253:   | _ => error "diff.sml: new.behav. in me (*+ tacs input*) 1"
wneuper@59253: else error "diff.sml: new.behav. in me (*+ tacs input*) 2";
walther@59814: (*if f = EmptyMout then () else error "new behaviour in + tacs input"*)
neuper@37906: 
neuper@38081: "----------- 1.5.02 me from script ----------------------";
neuper@38081: "----------- 1.5.02 me from script ----------------------";
neuper@38081: "----------- 1.5.02 me from script ----------------------";
neuper@37906: (*exp_Diff_No-1.xml*)
neuper@37906: val fmz = ["functionTerm (x ^^^ 2 + 3 * x + 4)", 
neuper@37994: 	   "differentiateFor x","derivative f_f'"];
neuper@37906: val (dI',pI',mI') =
neuper@37991:   ("Diff",["derivative_of","function"],
neuper@37906:    ["diff","diff_simpl"]);
neuper@37906: (*val p = e_pos'; val c = []; 
neuper@37906: val (mI,m) = ("Init_Proof",Init_Proof (fmz, (dI',pI',mI')));
neuper@37906: val (p,_,f,nxt,_,pt) = me (mI,m) p c EmptyPtree;*)
neuper@37906: val (p,_,f,nxt,_,pt) = CalcTreeTEST [(fmz, (dI',pI',mI'))];
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37991: (*nxt = ("Apply_Method",Apply_Method ("Diff","differentiate_on_R*)
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: 
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
neuper@37906: val (p,_,f,nxt,_,pt) = me nxt p c pt;
walther@59749: case nxt of End_Proof' => ()
wneuper@59253: | _ => error "new behaviour in tests/differentiate, 1.5.02 me from script";
neuper@37906: 
neuper@38081: "----------- primed id ----------------------------------";
neuper@38081: "----------- primed id ----------------------------------";
neuper@38081: "----------- primed id ----------------------------------";
neuper@37994: val f_ = str2term "f_f::bool";
neuper@37906: val f  = str2term "A = s * (a - s)";
neuper@38081: val v_ = str2term "v_v";
neuper@37906: val v  = str2term "s";
neuper@38081: val screxp0 = str2term "Take ((primed (lhs f_f)) = d_d v_v (rhs f_f))";
neuper@37906: atomty screxp0;
neuper@37906: 
neuper@38081: val screxp1 = subst_atomic [(f_, f), (v_, v)] screxp0;
walther@59868: UnparseC.term screxp1;
neuper@37906: atomty screxp1;
neuper@37906: 
wneuper@59592: val SOME (f'_,_) = rewrite_set_ (@{theory "Isac_Knowledge"}) false srls_diff screxp1; 
walther@59868: if UnparseC.term f'_= "Take (A' = d_d s (s * (a - s)))" then ()
neuper@38031: else error "diff.sml: diff.behav. in 'primed'";
neuper@37906: atomty f'_;
neuper@37906: 
wneuper@59585: val str = "Program DiffEqScr (f_f::bool) (v_v::real) =                         \
neuper@38081: \ (let f_f' = Take ((primed (lhs f_f)) = d_d v_v (rhs f_f))           \
walther@59637: \ in (((Try (Repeat (Rewrite frac_conv))) #>              \
walther@59637:  \ (Try (Repeat (Rewrite root_conv))) #>                  \
walther@59637:  \ (Try (Repeat (Rewrite realpow_pow))) #>                  \
neuper@37906:  \ (Repeat                                                        \
walther@59635:  \   ((Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_sum        )) Or \
walther@59635:  \    (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_prod_const )) Or \
walther@59635:  \    (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_prod       )) Or \
walther@59635:  \    (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_quot       )) Or \
walther@59635:  \    (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_sin        )) Or \
walther@59635:  \    (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_sin_chain  )) Or \
walther@59635:  \    (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_cos        )) Or \
walther@59635:  \    (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_cos_chain  )) Or \
walther@59635:  \    (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_pow        )) Or \
walther@59635:  \    (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_pow_chain  )) Or \
walther@59635:  \    (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_ln         )) Or \
walther@59635:  \    (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_ln_chain   )) Or \
walther@59635:  \    (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_exp        )) Or \
walther@59635:  \    (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_exp_chain  )) Or \
walther@59635:  \    (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_sqrt       )) Or \
walther@59635:  \    (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_sqrt_chain )) Or \
walther@59635:  \    (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_const      )) Or \
walther@59635:  \    (Repeat (Rewrite_Inst [(''bdv'',v_v)] diff_var        )) Or \
walther@59637:  \    (Repeat (Rewrite_Set             make_polynomial)))) #> \
walther@59637:  \ (Try (Repeat (Rewrite sym_frac_conv))) #>              \
walther@59635:  \ (Try (Repeat (Rewrite sym_root_conv))))) f_f')"
neuper@37906: ;
wneuper@59395: val sc = (inst_abs o Thm.term_of o the o (parse thy)) str;
neuper@37906: 
neuper@37906: 
neuper@38081: "----------- diff_conv, sym_diff_conv -------------------";
neuper@38081: "----------- diff_conv, sym_diff_conv -------------------";
neuper@38081: "----------- diff_conv, sym_diff_conv -------------------";
neuper@37906: val subs = [(str2term "bdv", str2term "x")];
neuper@37906: val rls = diff_conv;
neuper@37906: 
neuper@37906: val t = str2term "2/x^^^2"; 
walther@59868: val SOME (t,_) = rewrite_set_inst_ thy false subs rls t; UnparseC.term t;
walther@59868: if UnparseC.term t = "2 * x ^^^ -2" then () else error "diff.sml 1/x";
neuper@37906: 
neuper@37906: val t = str2term "sqrt (x^^^3)";
walther@59868: val SOME (t,_) = rewrite_set_inst_ thy false subs rls t; UnparseC.term t;
walther@59868: if UnparseC.term t = "x ^^^ (3 / 2)" then () else error "diff.sml x^1/2";
neuper@37906: 
neuper@37906: val t = str2term "2 / sqrt x^^^3";
walther@59868: val SOME (t,_) = rewrite_set_inst_ thy false subs rls t; UnparseC.term t;
walther@59868: if UnparseC.term t = "2 * x ^^^ (-3 / 2)" then () else error"diff.sml x^-1/2";
neuper@37906: val rls = diff_sym_conv; 
neuper@37906: 
neuper@37906: val t = str2term "2 * x ^^^ -2";
walther@59868: val SOME (t,_) = rewrite_set_inst_ thy false subs rls t; UnparseC.term t;
walther@59868: if UnparseC.term t = "2 / x ^^^ 2" then () else error "diff.sml sym 1/x";
neuper@37906: 
neuper@37906: 
neuper@37906: val t = str2term "x ^^^ (3 / 2)";
walther@59868: val SOME (t,_) = rewrite_set_inst_ thy false subs rls t; UnparseC.term t;
walther@59868: if UnparseC.term t = "sqrt (x ^^^ 3)" then () else error"diff.sml sym x^1/x";
neuper@37906: 
neuper@37906: val t = str2term "2 * x ^^^ (-3 / 2)";
walther@59868: val SOME (t,_) = rewrite_set_inst_ thy false subs rls t; UnparseC.term t;
walther@59868: if UnparseC.term t ="2 / sqrt (x ^^^ 3)"then()else error"diff.sml sym x^-1/x";
neuper@37906: 
neuper@37906: 
wneuper@59248: "----------- autoCalculate differentiate_on_R 2/x^2 -----";
wneuper@59248: "----------- autoCalculate differentiate_on_R 2/x^2 -----";
wneuper@59248: "----------- autoCalculate differentiate_on_R 2/x^2 -----";
s1210629013@55445: reset_states ();
neuper@37906: CalcTree
neuper@37906: [(["functionTerm (x^2 + x+ 1/x + 2/x^2)",
neuper@37906:    (*"functionTerm ((x^3)^5)",*)
neuper@37994:    "differentiateFor x", "derivative f_f'"], 
wneuper@59592:   ("Isac_Knowledge", ["derivative_of","function"],
neuper@37906:   ["diff","differentiate_on_R"]))];
neuper@37906: Iterator 1;
neuper@37906: moveActiveRoot 1;
wneuper@59248: autoCalculate 1 CompleteCalc;
neuper@37906: val ((pt,p),_) = get_calc 1; show_pt pt;
walther@59868: if p = ([], Res) andalso UnparseC.term (get_obj g_res pt (fst p)) = 
neuper@37906: 			  "1 + 2 * x + -1 / x ^^^ 2 + -4 / x ^^^ 3" then ()
neuper@38031: else error "diff.sml: differentiate_on_R 2/x^2 changed";
neuper@37906: 
neuper@38081: "---------------------------------------------------------";
s1210629013@55445: reset_states ();
neuper@37906: CalcTree
neuper@37906: [(["functionTerm (x^3 * x^5)",
neuper@37994:    "differentiateFor x", "derivative f_f'"], 
wneuper@59592:   ("Isac_Knowledge", ["derivative_of","function"],
neuper@37906:   ["diff","differentiate_on_R"]))];
neuper@37906: Iterator 1;
neuper@37906: moveActiveRoot 1;
walther@59627: autoCalculate 1 CompleteCalc;
neuper@37906: (* trace_rewrite := true;
walther@59845:    trace_LI := false;
neuper@37906:    *)
neuper@37906: val ((pt,p),_) = get_calc 1; show_pt pt;
neuper@37906: 
walther@59868: if p = ([], Res) andalso UnparseC.term (get_obj g_res pt (fst p)) = 
neuper@37906: 			 "8 * x ^^^ 7" then () 
neuper@38031: else error "diff.sml: differentiate_on_R (x^3 * x^5) changed";
neuper@37906: 
wneuper@59248: "----------- autoCalculate diff after_simplification ----";
wneuper@59248: "----------- autoCalculate diff after_simplification ----";
wneuper@59248: "----------- autoCalculate diff after_simplification ----";
s1210629013@55445: reset_states ();
neuper@37906: CalcTree
neuper@37906: [(["functionTerm (x^3 * x^5)",
neuper@37994:    "differentiateFor x", "derivative f_f'"], 
wneuper@59592:   ("Isac_Knowledge", ["derivative_of","function"],
neuper@37906:   ["diff","after_simplification"]))];
neuper@37906: Iterator 1;
neuper@37906: moveActiveRoot 1;
neuper@37906: (* trace_rewrite := true;
walther@59845:    trace_LI := true;
neuper@37906:    *)
wneuper@59248: autoCalculate 1 CompleteCalc;
neuper@37906: (* trace_rewrite := false;
walther@59845:    trace_LI := false;
neuper@37906:    *)
neuper@37906: val ((pt,p),_) = get_calc 1; show_pt pt;
walther@59868: if p = ([], Res) andalso UnparseC.term (get_obj g_res pt (fst p)) =  "8 * x ^^^ 7"
neuper@38031: then () else error "biegelinie.sml: 1st biegelin.7.27 changed";
neuper@37906: 
neuper@38081: "--------------------------------------------------------";
s1210629013@55445: reset_states ();
neuper@37906: CalcTree
neuper@37906: [(["functionTerm ((x^3)^5)",
neuper@37994:    "differentiateFor x", "derivative f_f'"], 
wneuper@59592:   ("Isac_Knowledge", ["derivative_of","function"],
neuper@37906:   ["diff","after_simplification"]))];
neuper@37906: Iterator 1;
neuper@37906: moveActiveRoot 1;
wneuper@59248: autoCalculate 1 CompleteCalc;
neuper@37906: val ((pt,p),_) = get_calc 1; show_pt pt;
walther@59868: if p = ([], Res) andalso UnparseC.term (get_obj g_res pt (fst p)) = "15 * x ^^^ 14"
neuper@38031: then () else error "biegelinie.sml: 1st biegelin.7.27 changed";
neuper@37906: 
wneuper@59248: "----------- autoCalculate differentiate_equality -------";
wneuper@59248: "----------- autoCalculate differentiate_equality -------";
wneuper@59248: "----------- autoCalculate differentiate_equality -------";
s1210629013@55445: reset_states ();
neuper@37906: CalcTree
neuper@42393: [(["functionEq (A = s * (a - (s::real)))", "differentiateFor s", "derivativeEq f_f'"], 
wneuper@59592:   ("Isac_Knowledge", ["named","derivative_of","function"],
neuper@37906:   ["diff","differentiate_equality"]))];
neuper@37906: Iterator 1;
neuper@37906: moveActiveRoot 1;
wneuper@59248: autoCalculate 1 CompleteCalc;
neuper@37906: val ((pt,p),_) = get_calc 1; show_pt pt;
neuper@37906: 
neuper@38081: "----------- tests for examples -------------------------";
neuper@38081: "----------- tests for examples -------------------------";
neuper@38081: "----------- tests for examples -------------------------";
neuper@37906: "----- parse errors";
neuper@38081: (*str2term "F  =  sqrt( y^^^2 - O) * (z + O^^^2)";
neuper@38081: str2term "O";
neuper@38081: str2term "OO"; ---errors*)
neuper@38081: str2term "OOO";
neuper@37906: 
neuper@37906: "----- thm 'diff_prod_const'";
neuper@37906: val subs = [(str2term "bdv", str2term "l")];
neuper@38081: val f = str2term "G' = d_d l (l * sqrt (7 * s ^^^ 2 - l ^^^ 2))";
neuper@37906: 
wneuper@59562: "------------inform for x^2+x+1 -------------------------";
wneuper@59562: "------------inform for x^2+x+1 -------------------------";
wneuper@59562: "------------inform for x^2+x+1 -------------------------";
s1210629013@55445: reset_states ();
neuper@37906: CalcTree
neuper@37906: [(["functionTerm (x^2 + x + 1)",
neuper@37994:    "differentiateFor x", "derivative f_f'"], 
wneuper@59592:   ("Isac_Knowledge", ["derivative_of","function"],
neuper@37906:   ["diff","differentiate_on_R"]))];
neuper@37906: Iterator 1;
neuper@37906: moveActiveRoot 1;
wneuper@59248: autoCalculate 1 CompleteCalcHead;
walther@59747: autoCalculate 1 (Steps 1);
walther@59747: autoCalculate 1 (Steps 1);
walther@59747: autoCalculate 1 (Steps 1);
neuper@37906: val ((pt,p),_) = get_calc 1; show_pt pt;
wneuper@59123: appendFormula 1 "2*x + d_d x x + d_d x 1" (*|> Future.join*);
neuper@37906: val ((pt,p),_) = get_calc 1; show_pt pt;
neuper@37906: if existpt' ([3], Res) pt then ()
neuper@38031: else error  "diff.sml: inform d_d x (x^2 + x + 1) doesnt work";
neuper@38081: