wneuper/isa: comparison test/Tools/isac/Knowledge/rational-2.sml

equal deleted inserted replaced

-:90ea835c07b3
+:f92963a33fe3
 "-------- integration lev.1 fun factout_p_ -----------------------------------";
 "-------- integration lev.1 fun factout_p_ -----------------------------------";
 "-------- integration lev.1 fun factout_p_ -----------------------------------";
-val t = TermC.str2term "(x \<up> 2 + - 1*y \<up> 2) / (x \<up> 2 + - 1*x*y)"
+val t = TermC.parse_test @{context} "(x \<up> 2 + - 1*y \<up> 2) / (x \<up> 2 + - 1*x*y)"
 val SOME (t', asm) = factout_p_ thy t;
 if UnparseC.term t' = "(x + y) * (x + - 1 * y) / (x * (x + - 1 * y))"
 then () else error ("factout_p_ term 1 changed: " ^ UnparseC.term t')
 ;
 if UnparseC.terms asm = "[\"x \<noteq> 0\", \"x + - 1 * y \<noteq> 0\"]"
 then () else error "factout_p_ asm 1 changed"
 ;
-val t = TermC.str2term "nothing + to_cancel ::real";
+val t = TermC.parse_test @{context} "nothing + to_cancel ::real";
 if NONE = factout_p_ thy t then () else error "factout_p_ doesn't report non-applicable";
 ;
-val t = TermC.str2term "((3 * x \<up> 2 + 6 *x + 3) / (2*x + 2))";
+val t = TermC.parse_test @{context} "((3 * x \<up> 2 + 6 *x + 3) / (2*x + 2))";
 val SOME (t', asm) = factout_p_ thy t;
 if UnparseC.term t' = "(3 + 3 * x) * (1 + x) / (2 * (1 + x))" andalso
 UnparseC.terms asm = "[\"1 + x \<noteq> 0\"]"
 then () else error "factout_p_ 1 changed";
 "-------- integration lev.1 fun cancel_p_ ------------------------------------";
 "-------- integration lev.1 fun cancel_p_ ------------------------------------";
 "-------- integration lev.1 fun cancel_p_ ------------------------------------";
-val t = TermC.str2term "(x \<up> 2 + - 1*y \<up> 2) / (x \<up> 2 + - 1*x*y)"
+val t = TermC.parse_test @{context} "(x \<up> 2 + - 1*y \<up> 2) / (x \<up> 2 + - 1*x*y)"
 val SOME (t', asm) = cancel_p_ thy t;
 if (UnparseC.term t', UnparseC.terms asm) = ("(x + y) / x", "[\"x \<noteq> 0\"]")
 then () else error ("cancel_p_ (t', asm) 1 changed: " ^ UnparseC.term t')
 ;
-val t = TermC.str2term "nothing + to_cancel ::real";
+val t = TermC.parse_test @{context} "nothing + to_cancel ::real";
 if NONE = cancel_p_ thy t then () else error "cancel_p_ doesn't report non-applicable";
 ;
-val t = TermC.str2term "((3 * x \<up> 2 + 6 *x + 3) / (2*x + 2))";
+val t = TermC.parse_test @{context} "((3 * x \<up> 2 + 6 *x + 3) / (2*x + 2))";
 val SOME (t', asm) = cancel_p_ thy t;
 if UnparseC.term t' = "(3 + 3 * x) / 2" andalso UnparseC.terms asm = "[]"
 then () else error "cancel_p_ 1 changed";
 "-------- integration lev.1 fun common_nominator_p_ --------------------------";
 "-------- integration lev.1 fun common_nominator_p_ --------------------------";
 "-------- integration lev.1 fun common_nominator_p_ --------------------------";
-val t = TermC.str2term ("y / (a*x + b*x + c*x) " ^
+val t = TermC.parse_test @{context} ("y / (a*x + b*x + c*x) " ^
 (* n1    d1                   *)
 "+ a / (x*y)");
 (* n2    d2                   *)
 val SOME (t', asm) = common_nominator_p_ thy t;
 if UnparseC.term t' =
 then () else error "common_nominator_p_ term 1 changed";
 if UnparseC.terms asm = "[\"a + b + c \<noteq> 0\", \"y \<noteq> 0\", \"x \<noteq> 0\"]"
 then () else error "common_nominator_p_ asm 1 changed"
 "-------- example in mail Nipkow";
-val t = TermC.str2term "x/(x \<up> 2 + - 1*y \<up> 2) + y/(x \<up> 2 + - 1*x*y)";
+val t = TermC.parse_test @{context} "x/(x \<up> 2 + - 1*y \<up> 2) + y/(x \<up> 2 + - 1*x*y)";
 val SOME (t', asm) = common_nominator_p_ thy t;
 if UnparseC.term t' =
 "x * x / ((x + - 1 * y) * ((x + y) * x)) +\ny * (x + y) / ((x + - 1 * y) * ((x + y) * x))"
 then () else error "common_nominator_p_ term 2 changed"
 ;
 if UnparseC.terms asm = "[\"x + y \<noteq> 0\", \"x \<noteq> 0\", \"x + - 1 * y \<noteq> 0\"]"
 then () else error "common_nominator_p_ asm 2 changed"
 "-------- example: applicable tested by SML code";
-val t = TermC.str2term "nothing / to_add";
+val t = TermC.parse_test @{context} "nothing / to_add";
 if NONE = common_nominator_p_ thy t then () else error "common_nominator_p_ term 3 changed";
 ;
-val t = TermC.str2term "((x + (- 1)) / (x + 1)) + ((x + 1) / (x + (- 1)))";
+val t = TermC.parse_test @{context} "((x + (- 1)) / (x + 1)) + ((x + 1) / (x + (- 1)))";
 val SOME (t', asm) = common_nominator_p_ thy t;
 if UnparseC.term t' =
 "(x + - 1) * (- 1 + x) / ((1 + x) * (- 1 + x)) +\n(x + 1) * (1 + x) / ((1 + x) * (- 1 + x))"
 andalso UnparseC.terms asm = "[\"1 + x \<noteq> 0\", \"- 1 + x \<noteq> 0\"]"
 then () else error "common_nominator_p_ 3 changed";
 "-------- integration lev.1 fun add_fraction_p_ ------------------------------";
 "-------- integration lev.1 fun add_fraction_p_ ------------------------------";
 "-------- integration lev.1 fun add_fraction_p_ ------------------------------";
-val t = TermC.str2term "((x + (- 1)) / (x + 1)) + ((x + 1) / (x + (- 1)))";
+val t = TermC.parse_test @{context} "((x + (- 1)) / (x + 1)) + ((x + 1) / (x + (- 1)))";
 val SOME (t', asm) = add_fraction_p_ thy t;
 if UnparseC.term t' = "(2 + 2 * x \<up> 2) / (- 1 + x \<up> 2)"
 then () else error "add_fraction_p_ 3 changed";
 ;
 if UnparseC.terms asm = "[\"- 1 + x \<up> 2 \<noteq> 0\"]"
 then () else error "add_fraction_p_ 3 changed";
 ;
-val t = TermC.str2term "nothing / to_add";
+val t = TermC.parse_test @{context} "nothing / to_add";
 if NONE = add_fraction_p_ thy t then () else error "add_fraction_p_ term 3 changed";
 ;
-val t = TermC.str2term "((x + (- 1)) / (x + 1)) + ((x + 1) / (x + (- 1)))";
+val t = TermC.parse_test @{context} "((x + (- 1)) / (x + 1)) + ((x + 1) / (x + (- 1)))";
 val SOME (t', asm) = add_fraction_p_ thy t;
 if UnparseC.term t' = "(2 + 2 * x \<up> 2) / (- 1 + x \<up> 2)" andalso
 UnparseC.terms asm = "[\"- 1 + x \<up> 2 \<noteq> 0\"]"
 then () else error "add_fraction_p_ 3 changed";
 "-------- and app_rev ...traced down from rewrite_set_ until prepats ---------";
 (* trace down until prepats are evaluated
 (which does not to work, because substitution is not done -- compare rew_sub!);
 keep this sequence for the case, factout_p, cancel_p, common_nominator_p, add_fraction_p
 (again) get prepat = [] changed to <>[]. *)
-val t = TermC.str2term "(x \<up> 2 + - 1*y \<up> 2) / (x \<up> 2 + - 1*x*y)";
+val t = TermC.parse_test @{context} "(x \<up> 2 + - 1*y \<up> 2) / (x \<up> 2 + - 1*x*y)";
 (*rewrite_set_ @{theory Isac_Knowledge} true cancel t = NONE; !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!*)
 "~~~~~ fun rewrite_set_, args:"; val (thy, bool, rls, term) = (thy, false, cancel_p, t);
 "~~~~~ fun rewrite__set_, args:"; val (thy, i, _, _, (rrls as Rrls _), t) =
 (thy, 1, bool, [], rls, term);
 ============ inhibit exn WN130823: prepat is empty ===================================*)
 "-------- fun rewrite_set_ cancel_p downto fun gcd_poly ----------------------";
 "-------- fun rewrite_set_ cancel_p downto fun gcd_poly ----------------------";
 "-------- fun rewrite_set_ cancel_p downto fun gcd_poly ----------------------";
-val t = TermC.str2term "(12 * x * y) / (8 * y \<up> 2 )";
+val t = TermC.parse_test @{context} "(12 * x * y) / (8 * y \<up> 2 )";
 (* "-------- example 187a": exception Div raised...
 val SOME (t', asm) = rewrite_set_ thy false cancel_p t;*)
-val t = TermC.str2term "(8 * x \<up> 2 * y * z ) / (18 * x * y \<up> 2 * z )";
+val t = TermC.parse_test @{context} "(8 * x \<up> 2 * y * z ) / (18 * x * y \<up> 2 * z )";
 (* "-------- example 187b": doesn't terminate...
 val SOME (t', asm) = rewrite_set_ thy false cancel_p t;*)
-val t = TermC.str2term "(9 * x \<up> 5 * y \<up> 2 * z \<up> 4) / (15 * x \<up> 6 * y \<up> 3 * z )";
+val t = TermC.parse_test @{context} "(9 * x \<up> 5 * y \<up> 2 * z \<up> 4) / (15 * x \<up> 6 * y \<up> 3 * z )";
 (* "-------- example 187c": doesn't terminate...
 val SOME (t', asm) = rewrite_set_ thy false cancel_p t;*)
 "~~~~~ fun rewrite_set_, args:"; val (thy, bool, rls, term) = (@{theory Isac_Knowledge}, false, cancel_p, t);
 (* WN130827: exception Div raised...
 rewrite__set_ thy 1 bool [] rls term
 *)
 "-------- rls norm_Rational downto fun gcd_poly ------------------------------";
 "-------- rls norm_Rational downto fun gcd_poly ------------------------------";
 "-------- rls norm_Rational downto fun gcd_poly ------------------------------";
-val t = TermC.str2term "(x \<up> 2 - 4)*(3 - y) / ((y \<up> 2 - 9)*(2+x))";
+val t = TermC.parse_test @{context} "(x \<up> 2 - 4)*(3 - y) / ((y \<up> 2 - 9)*(2+x))";
 (* trace_rewrite stops with ...: (and then jEdit hangs)..
 rewrite_set_ thy false norm_Rational t;
 :
 ###  rls: cancel_p on: (- 12 + 4 * y + 3 * x \<up> 2 + - 1 * (x \<up> 2 * y)) /
 (- 18 + -9 * x + 2 * y \<up> 2 + x * y \<up> 2)
 *)
-val t = TermC.str2term (*copy from above: "::real" is not required due to " \<up> "*)
+val t = TermC.parse_test @{context} (*copy from above: "::real" is not required due to " \<up> "*)
 ("(- 12 + 4 * y + 3 * x \<up> 2 + - 1 * (x \<up> 2 * y)) /" ^
 "(- 18 + -9 * x + 2 * y \<up> 2 + x * y \<up> 2)");
 (*cancel_p_ thy t;
 exception Div raised*)
 "-------- rls norm_Rational downto fun add_fraction_p_ -----------------------";
 "-------- rls norm_Rational downto fun add_fraction_p_ -----------------------";
 "-------- rls norm_Rational downto fun add_fraction_p_ -----------------------";
 val thy =  @{theory Isac_Knowledge};
 "----- SK060904- 2a non-termination of add_fraction_p_";
-val t = TermC.str2term (" (a + b * x) / (a + - 1 * (b * x)) +  " ^
+val t = TermC.parse_test @{context} (" (a + b * x) / (a + - 1 * (b * x)) +  " ^
 		         " (- 1 * a + b * x) / (a + b * x)      ");
 (* rewrite_set_ thy false norm_Rational t
 exception Div raised*)
 (* rewrite_set_ thy false add_fractions_p t;
 exception Div raised*)
 val NONE = (*case*) check_frac_sum t (*of*)
 (* Rewrite.trace_on:
 add_fractions_p on: 3 = A / 2 + A / 4 + (B / 2 + - 1 * B / 2) --> 3 = A / 2 + A / 4 + 0 / 2 *)
 (*         |||||||||||||||||||||||||||| *)
-val t = TermC.str2term       (* ||||||||||||||||||||||||| *)
+val t = TermC.parse_test @{context}       (* ||||||||||||||||||||||||| *)
 "AA / 4 + (BB / 2 + - 1 * BB / 2)";
 "~~~~~ fun add_fraction_p_ , ad-hoc args:"; val (t) = (t);
 val SOME ((n1, d1), (n2, d2)) = (*case*) check_frac_sum t (*of*);
 (*+*)if (UnparseC.term n1, UnparseC.term d1) = ("AA"                 , "4") andalso
 (*+*)   (UnparseC.term n2, UnparseC.term d2) = ("BB / 2 + - 1 * BB / 2", "1")
 "-------- rewrite_set_ cancel_p from: Mathematik 1 Schalk Reniets Verlag -----";
 "-------- rewrite_set_ cancel_p from: Mathematik 1 Schalk Reniets Verlag -----";
 "-------- rewrite_set_ cancel_p from: Mathematik 1 Schalk Reniets Verlag -----";
 val thy  = @{theory "Rational"};
 "-------- WN";
-val t = TermC.str2term "(2 + -3 * x) / 9";
+val t = TermC.parse_test @{context} "(2 + -3 * x) / 9";
 if NONE = rewrite_set_ ctxt false cancel_p t then ()
 else error "rewrite_set_ cancel_p must return NONE, if the term cannot be cancelled";
 "-------- example 186a";
-val t = TermC.str2term "(14 * x * y) / (x * y)";
+val t = TermC.parse_test @{context} "(14 * x * y) / (x * y)";
-is_expanded (TermC.str2term "14 * x * y");
+is_expanded (TermC.parse_test @{context} "14 * x * y");
-is_expanded (TermC.str2term "x * y");
+is_expanded (TermC.parse_test @{context} "x * y");
 val SOME (t', asm) = rewrite_set_ ctxt false cancel_p t;
 if (UnparseC.term t', UnparseC.terms asm) = ("14 / 1", "[]")
 then () else error "rational.sml cancel Schalk 186a";
 "-------- example 186b";
-val t = TermC.str2term "(60 * a * b) / ( 15 * a  * b )";
+val t = TermC.parse_test @{context} "(60 * a * b) / ( 15 * a  * b )";
 val SOME (t', asm) = rewrite_set_ ctxt false cancel_p t;
 if (UnparseC.term t', UnparseC.terms asm) = ("4 / 1", "[]")
 then () else error "rational.sml cancel Schalk 186b";
 "-------- example 186c";
-val t = TermC.str2term "(144 * a \<up> 2 * b * c) / (12 * a * b * c)";
+val t = TermC.parse_test @{context} "(144 * a \<up> 2 * b * c) / (12 * a * b * c)";
 val SOME (t', asm) = rewrite_set_ ctxt false cancel_p t;
 if (UnparseC.term t', UnparseC.terms asm) = ("12 * a / 1", "[]")
 then () else error "rational.sml cancel Schalk 186c";
 (* !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! exception Div raised !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
 see --- fun rewrite_set_ downto fun gcd_poly ---
 "-------- example 187a";
-val t = TermC.str2term "(12 * x * y) / (8 * y \<up> 2 )";
+val t = TermC.parse_test @{context} "(12 * x * y) / (8 * y \<up> 2 )";
 val SOME (t', asm) = rewrite_set_ ctxt false cancel_p t;
 if (UnparseC.term t', UnparseC.terms asm) = ("3 * x / (2 * y)", "[\"4 * y ~= 0\"]")
 then () else error "rational.sml cancel Schalk 187a";
 *)
 (* doesn't terminate !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
 see --- fun rewrite_set_ downto fun gcd_poly ---
 "-------- example 187b";
-val t = TermC.str2term "(8 * x \<up> 2 * y * z ) / (18 * x * y \<up> 2 * z )";
+val t = TermC.parse_test @{context} "(8 * x \<up> 2 * y * z ) / (18 * x * y \<up> 2 * z )";
 val SOME (t', asm) = rewrite_set_ ctxt false cancel_p t;
 if (UnparseC.term t', UnparseC.terms asm) = ("4 * x / (9 * y)", "[\"2 * (z * (y * x)) ~= 0\"]")
 then () else error "rational.sml cancel Schalk 187b";
 *)
 (* doesn't terminate !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
 see --- fun rewrite_set_ downto fun gcd_poly ---
 "-------- example 187c";
-val t = TermC.str2term "(9 * x \<up> 5 * y \<up> 2 * z \<up> 4) / (15 * x \<up> 6 * y \<up> 3 * z )";
+val t = TermC.parse_test @{context} "(9 * x \<up> 5 * y \<up> 2 * z \<up> 4) / (15 * x \<up> 6 * y \<up> 3 * z )";
 val SOME (t', asm) = rewrite_set_ ctxt false cancel_p t;
 if (UnparseC.term t', UnparseC.terms asm) =
 ("3 * z \<up> 3 / (5 * (y * x))", "[\"3 * (z * (y \<up> 2 * x \<up> 5)) ~= 0\"]")
 then () else error "rational.sml cancel Schalk 187c";
 *)
 "-------- example 188a";
-val t = TermC.str2term "(-8 + 8 * x) / (-9 + 9 * x)";
+val t = TermC.parse_test @{context} "(-8 + 8 * x) / (-9 + 9 * x)";
-is_expanded (TermC.str2term "8 * x + -8");
+is_expanded (TermC.parse_test @{context} "8 * x + -8");
 val SOME (t', asm) = rewrite_set_ ctxt false cancel_p t;
 if (UnparseC.term t', UnparseC.terms asm) = ("8 / 9", "[]")
 then () else error "rational.sml cancel Schalk 188a";
-val t = TermC.str2term "(8*((- 1) + x))/(9*((- 1) + x))";
+val t = TermC.parse_test @{context} "(8*((- 1) + x))/(9*((- 1) + x))";
 val SOME (t, _) = rewrite_set_ ctxt false make_polynomial t;
 if (UnparseC.term t', UnparseC.terms asm) = ("8 / 9", "[]")
 then () else error "rational.sml cancel Schalk make_polynomial 1";
 "-------- example 188b";
-val t = TermC.str2term "(- 15 + 5 * x) / (- 18 + 6 * x)";
+val t = TermC.parse_test @{context} "(- 15 + 5 * x) / (- 18 + 6 * x)";
 val SOME (t', asm) = rewrite_set_ ctxt false cancel_p t;
 if (UnparseC.term t', UnparseC.terms asm) = ("5 / 6", "[]")
 then () else error "rational.sml cancel Schalk 188b";
 "-------- example 188c";
-val t = TermC.str2term "(a + - 1 * b) / (b + - 1 * a)";
+val t = TermC.parse_test @{context} "(a + - 1 * b) / (b + - 1 * a)";
 val SOME (t', asm) = rewrite_set_ ctxt false  cancel_p t;
 if (UnparseC.term t', UnparseC.terms asm) = ("- 1 / 1", "[]")
 then () else error "rational.sml cancel Schalk 188c";
-is_expanded (TermC.str2term "a + - 1 * b") = true;
+is_expanded (TermC.parse_test @{context} "a + - 1 * b") = true;
-val t = TermC.str2term "((- 1)*(b + (- 1) * a))/(1*(b + (- 1) * a))";
+val t = TermC.parse_test @{context} "((- 1)*(b + (- 1) * a))/(1*(b + (- 1) * a))";
 val SOME (t', asm) = rewrite_set_ ctxt false make_polynomial t;
 if (UnparseC.term t', UnparseC.terms asm) = ("(a + - 1 * b) / (- 1 * a + b)", "[]")
 then () else error "rational.sml cancel Schalk make_polynomial 2";
 "-------- example 190a";
-val t = TermC.str2term "( 27 * a \<up> 3 + 9 * a \<up> 2 + 3 * a + 1 ) / ( 27 * a \<up> 3 + 18 * a \<up> 2 + 3 * a )";
+val t = TermC.parse_test @{context} "( 27 * a \<up> 3 + 9 * a \<up> 2 + 3 * a + 1 ) / ( 27 * a \<up> 3 + 18 * a \<up> 2 + 3 * a )";
 val SOME (t', asm) = rewrite_set_ ctxt false cancel_p t;
 if (UnparseC.term t', UnparseC.terms asm) =
 ("(1 + 9 * a \<up> 2) / (3 * a + 9 * a \<up> 2)", "[\"3 * a + 9 * a \<up> 2 \<noteq> 0\"]")
 then () else error "rational.sml cancel Schalk 190a";
 "-------- example 190c";
-val t = TermC.str2term "((1 + 9 * a \<up> 2)*(1 + 3 * a))/((3 * a + 9 * a \<up> 2)*(1 + 3 * a))";
+val t = TermC.parse_test @{context} "((1 + 9 * a \<up> 2)*(1 + 3 * a))/((3 * a + 9 * a \<up> 2)*(1 + 3 * a))";
 val SOME (t', asm) = rewrite_set_ ctxt false make_polynomial t;
 if (UnparseC.term t', UnparseC.terms asm) =
 ("(1 + 3 * a + 9 * a \<up> 2 + 27 * a \<up> 3) /\n(3 * a + 18 * a \<up> 2 + 27 * a \<up> 3)", "[]")
 then () else error "rational.sml make_polynomial Schalk 190c";
 "-------- example 191a";
-val t = TermC.str2term "( x \<up> 2 + - 1 * y \<up> 2 ) / ( x + y )";
+val t = TermC.parse_test @{context} "( x \<up> 2 + - 1 * y \<up> 2 ) / ( x + y )";
-is_expanded (TermC.str2term "x \<up> 2 + - 1 * y \<up> 2") = false; (*!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!*)
+is_expanded (TermC.parse_test @{context} "x \<up> 2 + - 1 * y \<up> 2") = false; (*!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!*)
-is_expanded (TermC.str2term "x + y") = true;
+is_expanded (TermC.parse_test @{context} "x + y") = true;
 val SOME (t', asm) = rewrite_set_ ctxt false cancel_p t;
 if (UnparseC.term t', UnparseC.terms asm) = ("(x + - 1 * y) / 1", "[]")
 then () else error "rational.sml make_polynomial Schalk 191a";
 "-------- example 191b";
-val t = TermC.str2term "((x + (- 1) * y)*(x + y))/((1)*(x + y))";
+val t = TermC.parse_test @{context} "((x + (- 1) * y)*(x + y))/((1)*(x + y))";
 val SOME (t', asm) = rewrite_set_ ctxt false make_polynomial t;
 if (UnparseC.term t', UnparseC.terms asm) = ("(x \<up> 2 + - 1 * y \<up> 2) / (x + y)", "[]")
 then () else error "rational.sml make_polynomial Schalk 191b";
 "-------- example 191c";
-val t = TermC.str2term "( 9 * x \<up> 2 + -30 * x + 25 ) / ( 9 * x \<up> 2 + - 25 )";
+val t = TermC.parse_test @{context} "( 9 * x \<up> 2 + -30 * x + 25 ) / ( 9 * x \<up> 2 + - 25 )";
-is_expanded (TermC.str2term "9 * x \<up> 2 + -30 * x + 25") = true;
+is_expanded (TermC.parse_test @{context} "9 * x \<up> 2 + -30 * x + 25") = true;
-is_expanded (TermC.str2term "25 + -30*x + 9*x \<up> 2") = true;
+is_expanded (TermC.parse_test @{context} "25 + -30*x + 9*x \<up> 2") = true;
-is_expanded (TermC.str2term "- 25 + 9*x \<up> 2") = true;
+is_expanded (TermC.parse_test @{context} "- 25 + 9*x \<up> 2") = true;
-val t = TermC.str2term "(((-5) + 3 * x)*((-5) + 3 * x))/((5 + 3 * x)*((-5) + 3 * x))";
+val t = TermC.parse_test @{context} "(((-5) + 3 * x)*((-5) + 3 * x))/((5 + 3 * x)*((-5) + 3 * x))";
 val SOME (t', asm) = rewrite_set_ ctxt false make_polynomial t;
 if (UnparseC.term t', UnparseC.terms asm) = ("(25 + - 30 * x + 9 * x \<up> 2) / (- 25 + 9 * x \<up> 2)", "[]")
 then () else error "rational.sml make_polynomial Schalk 191c";
 "-------- example 192b";
-val t = TermC.str2term "( 7 * x \<up> 3 + - 1 * x \<up> 2 * y ) / ( 7 * x * y \<up> 2 + - 1 *  y \<up> 3 )";
+val t = TermC.parse_test @{context} "( 7 * x \<up> 3 + - 1 * x \<up> 2 * y ) / ( 7 * x * y \<up> 2 + - 1 *  y \<up> 3 )";
 val SOME (t', asm) = rewrite_set_ ctxt false cancel_p t;
 if (UnparseC.term t', UnparseC.terms asm) = ("x \<up> 2 / y \<up> 2", "[\"y \<up> 2 \<noteq> 0\"]")
 then () else error "rational.sml cancel_p Schalk 192b";
-val t = TermC.str2term "((x \<up> 2)*(7 * x + (- 1) * y))/((y \<up> 2)*(7 * x + (- 1) * y))";
+val t = TermC.parse_test @{context} "((x \<up> 2)*(7 * x + (- 1) * y))/((y \<up> 2)*(7 * x + (- 1) * y))";
 val SOME (t', asm) = rewrite_set_ ctxt false make_polynomial t;
 if (UnparseC.term t', UnparseC.terms asm) =
 ("(7 * x \<up> 3 + - 1 * x \<up> 2 * y) /\n(7 * x * y \<up> 2 + - 1 * y \<up> 3)", "[]")
 then () else error "rational.sml make_polynomial Schalk 192b";
-val t = TermC.str2term "((x \<up> 2)*(7 * x + (- 1) * y))/((y \<up> 2)*(7 * x + (- 1) * y))";
+val t = TermC.parse_test @{context} "((x \<up> 2)*(7 * x + (- 1) * y))/((y \<up> 2)*(7 * x + (- 1) * y))";
 val SOME (t', asm) = rewrite_set_ ctxt false make_polynomial t;
 if (UnparseC.term t', UnparseC.terms asm) =
 ("(7 * x \<up> 3 + - 1 * x \<up> 2 * y) /\n(7 * x * y \<up> 2 + - 1 * y \<up> 3)", "[]")
 then () else error "rational.sml make_polynomial Schalk WN050929 not working";
 "-------- example 193a";
-val t = TermC.str2term "( x \<up> 2 + -6 * x + 9 ) / ( x \<up> 2 + -9 )";
+val t = TermC.parse_test @{context} "( x \<up> 2 + -6 * x + 9 ) / ( x \<up> 2 + -9 )";
 val SOME (t', asm) = rewrite_set_ ctxt false cancel_p t;
 if (UnparseC.term t', UnparseC.terms asm) = ("(- 3 + x) / (3 + x)", "[\"3 + x \<noteq> 0\"]")
 then () else error "rational.sml cancel_p Schalk 193a";
 "-------- example 193b";
-val t = TermC.str2term "( x \<up> 2 + -8 * x + 16 ) / ( 2 * x \<up> 2 + -32 )";
+val t = TermC.parse_test @{context} "( x \<up> 2 + -8 * x + 16 ) / ( 2 * x \<up> 2 + -32 )";
 val SOME (t', asm) = rewrite_set_ ctxt false cancel_p t;
 if (UnparseC.term t', UnparseC.terms asm) = ("(- 4 + x) / (8 + 2 * x)", "[\"8 + 2 * x \<noteq> 0\"]")
 then () else error "rational.sml cancel_p Schalk 193b";
 "-------- example 193c";
-val t = TermC.str2term "( 2 * x + -50 * x \<up> 3 ) / ( 25 * x \<up> 2 + - 10 * x + 1 )";
+val t = TermC.parse_test @{context} "( 2 * x + -50 * x \<up> 3 ) / ( 25 * x \<up> 2 + - 10 * x + 1 )";
 val SOME (t', asm) = rewrite_set_ ctxt false cancel_p t;
 if (UnparseC.term t', UnparseC.terms asm) =
 ("(2 * x + 10 * x \<up> 2) / (1 + - 5 * x)", "[\"1 + - 5 * x \<noteq> 0\"]")
 then () else error "rational.sml cancel_p Schalk 193c";
 (*WN: improved with new numerals*)
-val t = TermC.str2term "(- 25 + 9*x \<up> 2)/(5 + 3*x)";
+val t = TermC.parse_test @{context} "(- 25 + 9*x \<up> 2)/(5 + 3*x)";
 val SOME (t', asm) = rewrite_set_ ctxt false cancel_p t;
 if (UnparseC.term t', UnparseC.terms asm) = ("(- 5 + 3 * x) / 1", "[]")
 then () else error "rational.sml cancel WN 1";
 "-------- example heuberger";
-val t = TermC.str2term ("(x \<up> 4 + x * y + x \<up> 3 * y + y \<up> 2) / " ^
+val t = TermC.parse_test @{context} ("(x \<up> 4 + x * y + x \<up> 3 * y + y \<up> 2) / " ^
 "(x + 5 * x \<up> 2 + y + 5 * x * y + x \<up> 2 * y \<up> 3 + x * y \<up> 4)");
 val SOME (t', asm) = rewrite_set_ ctxt false cancel_p t;
 if (UnparseC.term t', UnparseC.terms asm) =
 ("(x \<up> 3 + y) / (1 + 5 * x + x * y \<up> 3)", "[\"1 + 5 * x + x * y \<up> 3 \<noteq> 0\"]")
 then () else error "rational.sml cancel_p heuberger";
 (*deleted example 204 ... 236b at update Isabelle2012-->2013*)
 "-------- integration lev.1 -- lev.5: cancel_p_ & add_fractions_p_ -----------";
 "-------- integration lev.1 -- lev.5: cancel_p_ & add_fractions_p_ -----------";
 "-------- integration lev.1 -- lev.5: cancel_p_ & add_fractions_p_ -----------";
-val t = TermC.str2term ("123 = (a*x)/(b*x) + (c*x)/(d*x) + (e*x)/(f*x::real)");
+val t = TermC.parse_test @{context} ("123 = (a*x)/(b*x) + (c*x)/(d*x) + (e*x)/(f*x::real)");
 "-------- gcd_poly integration level 1: works on exact term";
 if NONE = cancel_p_ thy t then () else error "cancel_p_ works on exact fraction";
 if NONE = add_fraction_p_ thy t then () else error "add_fraction_p_ works on exact fraction";
 "-------- gcd_poly integration level 2: picks out ONE appropriate subterm";
 "-------- reverse rewrite ----------------------------------------------------";
 "-------- reverse rewrite ----------------------------------------------------";
 "-------- reverse rewrite ----------------------------------------------------";
 (** the term for which reverse rewriting is demonstrated **)
-val t = TermC.str2term "(9 + - 1 * x \<up> 2) / (9 + 6 * x + x \<up> 2)";
+val t = TermC.parse_test @{context} "(9 + - 1 * x \<up> 2) / (9 + 6 * x + x \<up> 2)";
 val Rrls {scr = Rfuns {init_state = ini, locate_rule = loc,
 next_rule = nex, normal_form = nor, ...},...} = cancel_p;
 (** normal_form produces the result in ONE step **)
 val SOME (t', _) = nor t;
 "-------- 'reverse-ruleset' cancel_p -----------------------------------------";
 (*WN130909: the example below shows, why "reverse rewriting" only worked for
 special cases.*)
 (*the term for which reverse rewriting is demonstrated*)
-val t = TermC.str2term "(9 + (- 1)*x \<up> 2) / (9 + ((-6)*x + x \<up> 2))";
+val t = TermC.parse_test @{context} "(9 + (- 1)*x \<up> 2) / (9 + ((-6)*x + x \<up> 2))";
 val Rrls {scr=Rfuns {init_state=ini,locate_rule=loc,
 		       next_rule=nex,normal_form=nor,...},...} = cancel_p;
 (*normal_form produces the result in ONE step*)
 val SOME (t', _) = nor t;
 *)
 "-------- examples: rls norm_Rational ----------------------------------------";
 "-------- examples: rls norm_Rational ----------------------------------------";
 "-------- examples: rls norm_Rational ----------------------------------------";
-val t = TermC.str2term "Not (6*x is_atom)";
+val t = TermC.parse_test @{context} "Not (6*x is_atom)";
 val SOME (t',_) = rewrite_set_ ctxt false powers_erls t; UnparseC.term t';
 "HOL.True";
-val t = TermC.str2term "1 < 2";
+val t = TermC.parse_test @{context} "1 < 2";
 val SOME (t',_) = rewrite_set_ ctxt false powers_erls t; UnparseC.term t';
 "HOL.True";
-val t = TermC.str2term "(6*x) \<up> 2";
+val t = TermC.parse_test @{context} "(6*x) \<up> 2";
 val SOME (t',_) = rewrite_ ctxt Rewrite_Ord.function_empty powers_erls false @{thm realpow_def_atom} t;
 if UnparseC.term t' = "6 * x * (6 * x) \<up> (2 + - 1)" then ()
 else error "rational.sml powers_erls (6*x) \<up> 2";
-val t = TermC.str2term "- 1 * (- 2 * (5 / 2 * (13 * x / 2)))";
+val t = TermC.parse_test @{context} "- 1 * (- 2 * (5 / 2 * (13 * x / 2)))";
 val SOME (t',_) = rewrite_set_ ctxt false norm_Rational t; UnparseC.term t';
 if UnparseC.term t' = "65 * x / 2" then () else error "rational.sml 4";
-val t = TermC.str2term "1 - ((13*x)/2 - 5/2) \<up> 2";
+val t = TermC.parse_test @{context} "1 - ((13*x)/2 - 5/2) \<up> 2";
 val SOME (t',_) = rewrite_set_ ctxt false norm_Rational t; UnparseC.term t';
 if UnparseC.term t' = "(- 21 + 130 * x + - 169 * x \<up> 2) / 4" then ()
 else error "rational.sml 5";
 (*SRAM Schalk I, p.92 Nr. 609a*)
-val t = TermC.str2term "2*(3 - x/5)/3 - 4*(1 - x/3) - x/3 - 2*(x/2 - 1/4)/27 +5/54";
+val t = TermC.parse_test @{context} "2*(3 - x/5)/3 - 4*(1 - x/3) - x/3 - 2*(x/2 - 1/4)/27 +5/54";
 val SOME (t',_) = rewrite_set_ ctxt false norm_Rational t; UnparseC.term t';
 if UnparseC.term t' = "(- 255 + 112 * x) / 135" then ()
 else error "rational.sml 6";
 (*SRAM Schalk I, p.92 Nr. 610c*)
-val t = TermC.str2term "((x- 1)/(x+1) + 1) / ((x- 1)/(x+1) - (x+1)/(x- 1)) - 2";
+val t = TermC.parse_test @{context} "((x- 1)/(x+1) + 1) / ((x- 1)/(x+1) - (x+1)/(x- 1)) - 2";
 val SOME (t',_) = rewrite_set_ ctxt false norm_Rational t; UnparseC.term t';
 if UnparseC.term t' = "(3 + x) / - 2" then () else error "rational.sml 7";
 (*SRAM Schalk I, p.92 Nr. 476a*)
-val t = TermC.str2term "(x \<up> 2/(1 - x \<up> 2) + 1)/(x/(1 - x) + 1) * (1 + x)";
+val t = TermC.parse_test @{context} "(x \<up> 2/(1 - x \<up> 2) + 1)/(x/(1 - x) + 1) * (1 + x)";
 (*. a/b : c/d translated to a/b * d/c .*)
 val SOME (t',_) = rewrite_set_ ctxt false norm_Rational t; UnparseC.term t';
 if UnparseC.term t' = "1" then () else error "rational.sml 8";
 (*Schalk I, p.92 Nr. 472a*)
-val t = TermC.str2term "((8*x \<up> 2 - 32*y \<up> 2)/(2*x + 4*y))/((4*x - 8*y)/(x + y))";
+val t = TermC.parse_test @{context} "((8*x \<up> 2 - 32*y \<up> 2)/(2*x + 4*y))/((4*x - 8*y)/(x + y))";
 val SOME (t',_) = rewrite_set_ ctxt false norm_Rational t; UnparseC.term t';
 if UnparseC.term t' = "x + y" then () else error "rational.sml p.92 Nr. 472a";
 (*Schalk I, p.70 Nr. 480b: SEE rational.sml --- nonterminating rls norm_Rational ---*)
 (*WN130910 add_fractions_p exception Div raised + history:
 ### WN.2.6.03 from rlang.sml 56a
-val t = TermC.str2term "(a + b * x) / (a + - 1 * (b * x)) + (- 1 * a + b * x) / (a + b * x) = 4 * (a * b) / (a \<up> 2 + - 1 * b \<up> 2)";
+val t = TermC.parse_test @{context} "(a + b * x) / (a + - 1 * (b * x)) + (- 1 * a + b * x) / (a + b * x) = 4 * (a * b) / (a \<up> 2 + - 1 * b \<up> 2)";
 val NONE = rewrite_set_ ctxt false add_fractions_p t;
 THE ERROR ALREADY OCCURS IN THIS PART:
-val t = TermC.str2term "(a + b * x) / (a + - 1 * (b * x)) + (- 1 * a + b * x) / (a + b * x)";
+val t = TermC.parse_test @{context} "(a + b * x) / (a + - 1 * (b * x)) + (- 1 * a + b * x) / (a + b * x)";
 val NONE = add_fraction_p_ ctxt t;
 SEE Test_Some.thy: section {* add_fractions_p downto exception Div raised ===
 *)
 "-------- rational numerals --------------------------------------------------";
 "-------- rational numerals --------------------------------------------------";
 "-------- rational numerals --------------------------------------------------";
 (*SRA Schalk I, p.40 Nr. 164b *)
-val t = TermC.str2term "(47/6 - 76/9 + 13/4)/(35/12)";
+val t = TermC.parse_test @{context} "(47/6 - 76/9 + 13/4)/(35/12)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "19 / 21" then ()
 else error "rational.sml: diff.behav. in norm_Rational_mg 1";
 (*SRA Schalk I, p.40 Nr. 166a *)
-val t = TermC.str2term "((5/4)/(4+22/7) + 37/20)*(110/3 - 110/9 * 23/11)";
+val t = TermC.parse_test @{context} "((5/4)/(4+22/7) + 37/20)*(110/3 - 110/9 * 23/11)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "45 / 2" then ()
 else error "rational.sml: diff.behav. in norm_Rational_mg 2";
 "-------- examples cancellation from: Mathematik 1 Schalk --------------------";
 "-------- examples cancellation from: Mathematik 1 Schalk --------------------";
 "-------- examples cancellation from: Mathematik 1 Schalk --------------------";
 (* e190c Stefan K.*)
-val t = TermC.str2term "((1 + 9*a \<up> 2) * (1 + 3*a)) / ((3*a + 9*a \<up> 2) * (1 + 3*a))";
+val t = TermC.parse_test @{context} "((1 + 9*a \<up> 2) * (1 + 3*a)) / ((3*a + 9*a \<up> 2) * (1 + 3*a))";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(1 + 9 * a \<up> 2) / (3 * a + 9 * a \<up> 2)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 3";
 (* e192b Stefan K.*)
-val t = TermC.str2term "(x \<up> 2 * (7*x + (- 1)*y))  /  (y \<up> 2 * (7*x + (- 1)*y))";
+val t = TermC.parse_test @{context} "(x \<up> 2 * (7*x + (- 1)*y))  /  (y \<up> 2 * (7*x + (- 1)*y))";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "x \<up> 2 / y \<up> 2"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 4";
 (*SRC Schalk I, p.66 Nr. 379c *)
-val t = TermC.str2term "(a - b)/(b - a)";
+val t = TermC.parse_test @{context} "(a - b)/(b - a)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "- 1"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 5";
 (*SRC Schalk I, p.66 Nr. 380b *)
-val t = TermC.str2term "15*(3*x + 3) * (4*x + 9)  /  (12*(2*x + 7) * (5*x + 5))";
+val t = TermC.parse_test @{context} "15*(3*x + 3) * (4*x + 9)  /  (12*(2*x + 7) * (5*x + 5))";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(27 + 12 * x) / (28 + 8 * x)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 6";
 (* e190c Stefan K.*)
-val t = TermC.str2term "((1 + 9*a \<up> 2) * (1 + 3*a))  /  ((3*a + 9*a \<up> 2) * (1 + 3 * a))";
+val t = TermC.parse_test @{context} "((1 + 9*a \<up> 2) * (1 + 3*a))  /  ((3*a + 9*a \<up> 2) * (1 + 3 * a))";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t =  "(1 + 9 * a \<up> 2) / (3 * a + 9 * a \<up> 2)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 3";
 (* e192b Stefan K.*)
-val t = TermC.str2term "(x \<up> 2 * (7*x + (- 1)*y))  /  (y \<up> 2 * (7*x + (- 1)*y))";
+val t = TermC.parse_test @{context} "(x \<up> 2 * (7*x + (- 1)*y))  /  (y \<up> 2 * (7*x + (- 1)*y))";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "x \<up> 2 / y \<up> 2"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 4";
 (*SRC Schalk I, p.66 Nr. 379c *)
-val t = TermC.str2term "(a - b) / (b - a)";
+val t = TermC.parse_test @{context} "(a - b) / (b - a)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "- 1"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 5";
 (*SRC Schalk I, p.66 Nr. 380b *)
-val t = TermC.str2term "15*(3*x + 3) * (4*x + 9)  /  (12*(2*x + 7) * (5*x + 5))";
+val t = TermC.parse_test @{context} "15*(3*x + 3) * (4*x + 9)  /  (12*(2*x + 7) * (5*x + 5))";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(27 + 12 * x) / (28 + 8 * x)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 6";
 (* extreme example from somewhere *)
-val t = TermC.str2term
+val t = TermC.parse_test @{context}
 ("(a \<up> 4 * x  +  - 1*a \<up> 4 * y  +  4*a \<up> 3 * b * x  +  -4*a \<up> 3 * b * y  + " ^
 "6*a \<up> 2 * b \<up> 2 * x  +  -6*a \<up> 2 * b \<up> 2 * y  +  4*a * b \<up> 3 * x  +  -4*a * b \<up> 3 * y  + " ^
 "b \<up> 4 * x  +  - 1*b \<up> 4 * y) " ^
 " / (a \<up> 2 * x \<up> 3  +  -3*a \<up> 2 * x \<up> 2 * y  +  3*a \<up> 2 * x * y \<up> 2  +  - 1*a \<up> 2 * y \<up> 3 + " ^
 "2*a * b * x \<up> 3  +  -6*a * b * x \<up> 2 * y  +  6*a * b * x * y \<up> 2  +  - 2*a * b * y \<up> 3 + " ^
 if UnparseC.term t = "(a \<up> 2 + 2 * a * b + b \<up> 2) / (x \<up> 2 + - 2 * x * y + y \<up> 2)"
 then () else error "with Isabelle2002: NONE -- now SOME changed";
 (*Schalk I, p.66 Nr. 381a *)
 (* ATTENTION: here the rls is very slow. In Isabelle2002 this required 2 min *)
-val t = TermC.str2term "18*(a + b) \<up> 3 * (a - b) \<up> 2 / (72*(a - b) \<up> 3 * (a + b) \<up> 2)";
+val t = TermC.parse_test @{context} "18*(a + b) \<up> 3 * (a - b) \<up> 2 / (72*(a - b) \<up> 3 * (a + b) \<up> 2)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(a + b) / (4 * a + - 4 * b)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 8";
 (*SRC Schalk I, p.66 Nr. 381b *)
-val t = TermC.str2term "(4*x \<up> 2 - 20*x + 25) / (2*x - 5) \<up> 3";
+val t = TermC.parse_test @{context} "(4*x \<up> 2 - 20*x + 25) / (2*x - 5) \<up> 3";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "1 / (- 5 + 2 * x)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 9";
 (*SRC Schalk I, p.66 Nr. 381c *)
-val t = TermC.str2term "(27*a \<up> 3 + 9*a \<up> 2+3*a+1) / (27*a \<up> 3 + 18*a \<up> 2+3*a)";
+val t = TermC.parse_test @{context} "(27*a \<up> 3 + 9*a \<up> 2+3*a+1) / (27*a \<up> 3 + 18*a \<up> 2+3*a)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(1 + 9 * a \<up> 2) / (3 * a + 9 * a \<up> 2)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 10";
 (*SRC Schalk I, p.66 Nr. 383a *)
-val t = TermC.str2term "(5*a \<up> 2 - 5*a*b) / (a - b) \<up> 2";
+val t = TermC.parse_test @{context} "(5*a \<up> 2 - 5*a*b) / (a - b) \<up> 2";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "- 5 * a / (- 1 * a + b)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 11";
 "----- NOT TERMINATING ?: worked before 0707xx";
-val t = TermC.str2term "(a \<up> 2 - 1)*(b + 1) / ((b \<up> 2 - 1)*(a+1))";
+val t = TermC.parse_test @{context} "(a \<up> 2 - 1)*(b + 1) / ((b \<up> 2 - 1)*(a+1))";
 (* WN130911 "exception Div raised" by
-cancel_p_ thy (TermC.str2term ("(- 1 + - 1 * b + a \<up> 2 + a \<up> 2 * b) /" ^
+cancel_p_ thy (TermC.parse_test @{context} ("(- 1 + - 1 * b + a \<up> 2 + a \<up> 2 * b) /" ^
 "(- 1 + - 1 * a + b \<up> 2 + a * b \<up> 2)"))
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(1 + - 1 * a) / (1 + - 1 * b)" then ()
 else error "rational.sml MG tests 3e";
 "-------- examples common denominator from: Mathematik 1 Schalk --------------";
 "-------- examples common denominator from: Mathematik 1 Schalk --------------";
 "-------- examples common denominator from: Mathematik 1 Schalk --------------";
 (*SRA Schalk I, p.67 Nr. 403a *)
-val t = TermC.str2term "4/x - 3/y - 1";
+val t = TermC.parse_test @{context} "4/x - 3/y - 1";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(- 3 * x + 4 * y + - 1 * x * y) / (x * y)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 12";
-val t = TermC.str2term "(2*a+3*b)/(b*c) + (3*c+a)/(a*c) - (2*a \<up> 2+3*b*c)/(a*b*c)";
+val t = TermC.parse_test @{context} "(2*a+3*b)/(b*c) + (3*c+a)/(a*c) - (2*a \<up> 2+3*b*c)/(a*b*c)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "4 / c"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 13";
 (*SRA Schalk I, p.67 Nr. 410b *)
-val t = TermC.str2term "1/(x+1) + 1/(x+2) - 2/(x+3)";
+val t = TermC.parse_test @{context} "1/(x+1) + 1/(x+2) - 2/(x+3)";
 (* WN130911 non-termination due to non-termination of
-cancel_p_ thy (TermC.str2term "(5 + 3 * x) / (6 + 11 * x + 6 * x \<up> 2 + x \<up> 3)")
+cancel_p_ thy (TermC.parse_test @{context} "(5 + 3 * x) / (6 + 11 * x + 6 * x \<up> 2 + x \<up> 3)")
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(5 + 3 * x) / (6 + 11 * x + 6 * x \<up> 2 + x \<up> 3)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 14";
 *)
 (*SRA Schalk I, p.67 Nr. 413b *)
-val t = TermC.str2term "(1 + x)/(1 - x)  -  (1 - x)/(1 + x)  +  2*x/(1 - x \<up> 2)";
+val t = TermC.parse_test @{context} "(1 + x)/(1 - x)  -  (1 - x)/(1 + x)  +  2*x/(1 - x \<up> 2)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "6 * x / (1 + - 1 * x \<up> 2)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 15";
 (*SRA Schalk I, p.68 Nr. 414a *)
-val t = TermC.str2term "(x + 2)/(x - 1)  +  (x - 3)/(x - 2)  -  (x + 1)/((x - 1)*(x - 2))";
+val t = TermC.parse_test @{context} "(x + 2)/(x - 1)  +  (x - 3)/(x - 2)  -  (x + 1)/((x - 1)*(x - 2))";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t ="(- 2 + - 5 * x + 2 * x \<up> 2) / (2 + - 3 * x + x \<up> 2)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 16";
 (*SRA Schalk I, p.68 Nr. 428b *)
-val t = TermC.str2term
+val t = TermC.parse_test @{context}
 "1/(a - b) \<up> 2  +  1/(a + b) \<up> 2  -  2/(a \<up> 2 - b \<up> 2)  -  4*(b \<up> 2 - 1)/(a \<up> 2 - b \<up> 2) \<up> 2";
 (* WN130911 non-termination due to non-termination of
-cancel_p_ thy (TermC.str2term "(4 + -4 * b \<up> 2) / (a \<up> 4 + - 2 * (a \<up> 2 * b \<up> 2) + b \<up> 4)")
+cancel_p_ thy (TermC.parse_test @{context} "(4 + -4 * b \<up> 2) / (a \<up> 4 + - 2 * (a \<up> 2 * b \<up> 2) + b \<up> 4)")
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "4 / (a \<up> 4 + - 2 * a \<up> 2 * b \<up> 2 + b \<up> 4)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 18";
 *)
 (*SRA Schalk I, p.68 Nr. 430b *)
-val t = TermC.str2term
+val t = TermC.parse_test @{context}
 "a \<up> 2/(a - 3*b) - 108*a*b \<up> 3/((a+3*b)*(a \<up> 2 - 9*b \<up> 2)) - 9*b \<up> 2*(a - 3*b)/(a+3*b) \<up> 2";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "a + 3 * b"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 19";
 (*SRA Schalk I, p.68 Nr. 432 *)
-val t = TermC.str2term
+val t = TermC.parse_test @{context}
 ("(a \<up> 2 + a*b) / (a \<up> 2 - b \<up> 2)  -  (b \<up> 2 - a*b) / (b \<up> 2 - a \<up> 2)  +  " ^
 "a \<up> 2*(a - b) / (a \<up> 3 - a \<up> 2*b)  -  2*a*(a \<up> 2 - b \<up> 2) / (a \<up> 3 - a*b \<up> 2)  -  " ^
 "2*b \<up> 2 / (a \<up> 2 - b \<up> 2)");
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = (*"0" ..isabisac15 | Isabelle2017..*)  "0 / (a \<up> 2 + - 1 * b \<up> 2)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 20";
 (* some example *)
-val t = TermC.str2term "3*a / (a*b)  +  x/y";
+val t = TermC.parse_test @{context} "3*a / (a*b)  +  x/y";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(3 * y + b * x) / (b * y)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 21";
 "-------- examples multiply and cancel from: Mathematik 1 Schalk -------------";
 "-------- examples multiply and cancel from: Mathematik 1 Schalk -------------";
 "-------- examples multiply and cancel from: Mathematik 1 Schalk -------------";
 (*------- SRM Schalk I, p.68 Nr. 436a *)
-val t = TermC.str2term "3*(x+y) / (15*(x - y))  *   25*(x - y) \<up> 2 / (18*(x + y) \<up> 2)";
+val t = TermC.parse_test @{context} "3*(x+y) / (15*(x - y))  *   25*(x - y) \<up> 2 / (18*(x + y) \<up> 2)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(- 5 * x + 5 * y) / (- 18 * x + - 18 * y)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 22";
 (*------- SRM.test Schalk I, p.68 Nr. 436b *)
-val t = TermC.str2term "5*a*(a - b) \<up> 2*(a + b) \<up> 3/(7*b*(a - b) \<up> 3) * 7*b/(a + b) \<up> 3";
+val t = TermC.parse_test @{context} "5*a*(a - b) \<up> 2*(a + b) \<up> 3/(7*b*(a - b) \<up> 3) * 7*b/(a + b) \<up> 3";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "5 * a / (a + - 1 * b)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 23";
 (*------- Schalk I, p.68 Nr. 437a *)
-val t = TermC.str2term "(3*a - 4*b) / (4*c+3*e)  *  (3*a+4*b)/(9*a \<up> 2 - 16*b \<up> 2)";
+val t = TermC.parse_test @{context} "(3*a - 4*b) / (4*c+3*e)  *  (3*a+4*b)/(9*a \<up> 2 - 16*b \<up> 2)";
 (* raises an exception for unclear reasons:
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 :
 ###  rls: cancel_p on: (9 * a \<up> 2 + - 16 * b \<up> 2) / (4 * c + 3 * e) /
 (9 * a \<up> 2 + - 16 * b \<up> 2)
 exception Div raised
 BUT
-val t = TermC.str2term
+val t = TermC.parse_test @{context}
 ("(9 * a \<up> 2 + - 16 * b \<up> 2) / (4 * c + 3 * e) /" ^
 "(9 * a \<up> 2 + - 16 * b \<up> 2)");
 NONE = cancel_p_ thy t;
 if UnparseC.term t = "1 / (4 * c + 3 * e)" then ()
 else error "rational.sml: diff.behav. in norm_Rational_mg 24";
 *)
 "----- S.K. corrected non-termination 060904";
-val t = TermC.str2term "(3*a - 4*b) * (3*a+4*b)/((4*c+3*e)*(9*a \<up> 2 - 16*b \<up> 2))";
+val t = TermC.parse_test @{context} "(3*a - 4*b) * (3*a+4*b)/((4*c+3*e)*(9*a \<up> 2 - 16*b \<up> 2))";
 val SOME (t, _) = rewrite_set_ ctxt false make_polynomial t;
 if UnparseC.term t =
 "(9 * a \<up> 2 + - 16 * b \<up> 2) /\n(36 * a \<up> 2 * c + 27 * a \<up> 2 * e + - 64 * b \<up> 2 * c +\n - 48 * b \<up> 2 * e)"
 then () else error "rational.sml: S.K.8..corrected 060904-6";
 "----- S.K. corrected non-termination of cancel_p_";
-val t'' = TermC.str2term ("(9 * a \<up> 2 + - 16 * b \<up> 2) /" ^
+val t'' = TermC.parse_test @{context} ("(9 * a \<up> 2 + - 16 * b \<up> 2) /" ^
 "(36 * a \<up> 2 * c + (27 * a \<up> 2 * e + (-64 * b \<up> 2 * c + -48 * b \<up> 2 * e)))");
 (* /--- DOES NOT TERMINATE AT TRANSITION isabisac15 --> Isabelle2017 --------------------------\
 val SOME (t',_) = rewrite_set_ ctxt false cancel_p t'';
 if UnparseC.term t' = "1 / (4 * c + 3 * e)"
 then () else error "rational.sml: diff.behav. in cancel_p S.K.8";
 \--- DOES NOT TERMINATE AT TRANSITION isabisac15 --> Isabelle2017 --------------------------/*)
 (*------- Schalk I, p.68 Nr. 437b*)
-val t = TermC.str2term "(a + b)/(x \<up> 2 - y \<up> 2) * ((x - y) \<up> 2/(a \<up> 2 - b \<up> 2))";
+val t = TermC.parse_test @{context} "(a + b)/(x \<up> 2 - y \<up> 2) * ((x - y) \<up> 2/(a \<up> 2 - b \<up> 2))";
 (*val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 :
 ####  rls: cancel_p on: (a * x \<up> 2 + - 2 * (a * (x * y)) + a * y \<up> 2 + b * x \<up> 2 +
 - 2 * (b * (x * y)) +
 b * y \<up> 2) /
 b \<up> 2 * y \<up> 2)
 exception Div raised
 *)
 (*------- SRM Schalk I, p.68 Nr. 438a *)
-val t = TermC.str2term "x*y / (x*y - y \<up> 2)  *  (x \<up> 2 - x*y)";
+val t = TermC.parse_test @{context} "x*y / (x*y - y \<up> 2)  *  (x \<up> 2 - x*y)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "x \<up> 2"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 24";
 (*------- SRM Schalk I, p.68 Nr. 439b *)
-val t = TermC.str2term "(4*x \<up> 2 + 4*x + 1)  *  ((x \<up> 2 - 2*x \<up> 3) / (4*x \<up> 2 + 2*x))";
+val t = TermC.parse_test @{context} "(4*x \<up> 2 + 4*x + 1)  *  ((x \<up> 2 - 2*x \<up> 3) / (4*x \<up> 2 + 2*x))";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(x + - 4 * x \<up> 3) / 2"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 25";
 (*------- SRM Schalk I, p.68 Nr. 440a *)
-val t = TermC.str2term "(x \<up> 2 - 2*x) / (x \<up> 2 - 3*x)  *  (x - 3) \<up> 2 / (x \<up> 2 - 4)";
+val t = TermC.parse_test @{context} "(x \<up> 2 - 2*x) / (x \<up> 2 - 3*x)  *  (x - 3) \<up> 2 / (x \<up> 2 - 4)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(- 3 + x) / (2 + x)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 26";
 "----- Schalk I, p.68 Nr. 440b SK11 works since 0707xx";
-val t = TermC.str2term "(a \<up> 3 - 9*a) / (a \<up> 3*b - a*b \<up> 3)  *  (a \<up> 2*b + a*b \<up> 2) / (a+3)";
+val t = TermC.parse_test @{context} "(a \<up> 3 - 9*a) / (a \<up> 3*b - a*b \<up> 3)  *  (a \<up> 2*b + a*b \<up> 2) / (a+3)";
 (* WN130911 non-termination for unclear reasons:
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 ... ENDS WITH THIS TRACE:
 :
 ###  rls: cancel_p on: (-9 * (a \<up> 3 * b) + -9 * (a \<up> 2 * b \<up> 2) + a \<up> 5 * b +
 a \<up> 4 * b \<up> 2) /
 (a \<up> 3 * b + - 1 * (a * b \<up> 3)) /
 (3 + a)
 BUT THIS IS CORRECTLY RECOGNISED
-val t = TermC.str2term
+val t = TermC.parse_test @{context}
 ("(-9 * (a \<up> 3 * b) + -9 * (a \<up> 2 * b \<up> 2) + a \<up> 5 * b + a \<up> 4 * b \<up> 2)  /" ^
 "(a \<up> 3 * b + - 1 * (a * b \<up> 3))  /  (3 + (a::real))");
 AS
 NONE = cancel_p_ thy t;
 if UnparseC.term t = "(-3 * a + a \<up> 2) / (a + - 1 * b)" then ()
 else error "rational.sml: diff.behav. in norm_Rational 27";
 *)
 "----- SK12 works since 0707xx";
-val t = TermC.str2term "(a \<up> 3 - 9*a) * (a \<up> 2*b+a*b \<up> 2)  /  ((a \<up> 3*b - a*b \<up> 3) * (a+3))";
+val t = TermC.parse_test @{context} "(a \<up> 3 - 9*a) * (a \<up> 2*b+a*b \<up> 2)  /  ((a \<up> 3*b - a*b \<up> 3) * (a+3))";
 (* WN130911 non-termination due to non-termination of
-cancel_p_ thy (TermC.str2term "(4 + -4 * b \<up> 2) / (a \<up> 4 + - 2 * (a \<up> 2 * b \<up> 2) + b \<up> 4)")
+cancel_p_ thy (TermC.parse_test @{context} "(4 + -4 * b \<up> 2) / (a \<up> 4 + - 2 * (a \<up> 2 * b \<up> 2) + b \<up> 4)")
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t' = "(-3 * a + a \<up> 2) / (a + - 1 * b)" then ()
 else error "rational.sml: diff.behav. in norm_Rational 28";
 *)
 "-------- examples common denominator and multiplication from: Schalk --------";
 "-------- examples common denominator and multiplication from: Schalk --------";
 "-------- examples common denominator and multiplication from: Schalk --------";
 (*------- SRAM Schalk I, p.69 Nr. 441b *)
-val t = TermC.str2term "(4*a/3 + 3*b \<up> 2/a \<up> 3 + b/(4*a))*(4*b/(3*a))";
+val t = TermC.parse_test @{context} "(4*a/3 + 3*b \<up> 2/a \<up> 3 + b/(4*a))*(4*b/(3*a))";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(36 * b \<up> 3 + 3 * a \<up> 2 * b \<up> 2 + 16 * a \<up> 4 * b) /\n(9 * a \<up> 4)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 28";
 (*------- SRAM Schalk I, p.69 Nr. 442b *)
-val t = TermC.str2term ("(15*a \<up> 2/x \<up> 3 - 5*b \<up> 4/x \<up> 2 + 25*c \<up> 2/x) * " ^
+val t = TermC.parse_test @{context} ("(15*a \<up> 2/x \<up> 3 - 5*b \<up> 4/x \<up> 2 + 25*c \<up> 2/x) * " ^
 "(x \<up> 3/(5*a*b \<up> 3*c \<up> 3)) + 1/c \<up> 3 * (b*x/a - 3*a/b \<up> 3)");
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "5 * x \<up> 2 / (a * b \<up> 3 * c)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 29";
 (*------- SRAM Schalk I, p.69 Nr. 443b *)
-val t = TermC.str2term "(a/2 + b/3) * (b/3 - a/2)";
+val t = TermC.parse_test @{context} "(a/2 + b/3) * (b/3 - a/2)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(- 9 * a \<up> 2 + 4 * b \<up> 2) / 36"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 30";
 (*------- SRAM Schalk I, p.69 Nr. 445b *)
-val t = TermC.str2term "(a \<up> 2/9 + 2*a/(3*b) + 4/b \<up> 2)*(a/3 - 2/b) + 8/b \<up> 3";
+val t = TermC.parse_test @{context} "(a \<up> 2/9 + 2*a/(3*b) + 4/b \<up> 2)*(a/3 - 2/b) + 8/b \<up> 3";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "a \<up> 3 / 27"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 31";
 (*------- SRAM Schalk I, p.69 Nr. 446b *)
-val t = TermC.str2term "(x/(5*x + 4*y) - y/(5*x - 4*y) + 1)*(25*x \<up> 2 - 16*y \<up> 2)";
+val t = TermC.parse_test @{context} "(x/(5*x + 4*y) - y/(5*x - 4*y) + 1)*(25*x \<up> 2 - 16*y \<up> 2)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = (*"30 * x \<up> 2 + -9 * x * y + - 20 * y \<up> 2" ..isabisac15 | Isabelle2017..*)
 "(- 30 * x \<up> 2 + 9 * x * y + 20 * y \<up> 2) / - 1"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 32";
 (*------- SRAM Schalk I, p.69 Nr. 449a *)(*Achtung: rechnet ca 8 Sekunden*)
-val t = TermC.str2term
+val t = TermC.parse_test @{context}
 "(2*x \<up> 2/(3*y)+x/y \<up> 2)*(4*x \<up> 4/(9*y \<up> 2)+x \<up> 2/y \<up> 4)*(2*x \<up> 2/(3*y) - x/y \<up> 2)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(- 81 * x \<up> 4 + 16 * x \<up> 8 * y \<up> 4) / (81 * y \<up> 8)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 33";
 (*------- SRAM Schalk I, p.69 Nr. 450a *)
-val t = TermC.str2term
+val t = TermC.parse_test @{context}
 "(4*x/(3*y)+2*y/(3*x)) \<up> 2 - (2*y/(3*x) - 2*x/y)*(2*y/(3*x)+2*x/y)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(52 * x \<up> 2 + 16 * y \<up> 2) / (9 * y \<up> 2)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 34";
 (*------- SRAM Schalk I, p.69 Nr. 442b --- abgewandelt*)
-val t = TermC.str2term
+val t = TermC.parse_test @{context}
 ("(15*a \<up> 4/(a*x \<up> 3)  -  5*a*((b \<up> 4 - 5*c \<up> 2*x) / x \<up> 2))  *  " ^
 "(x \<up> 3/(5*a*b \<up> 3*c \<up> 3))   +   a/c \<up> 3 * (x*(b/a) - 3*b*(a/b \<up> 4))");
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "5 * x \<up> 2 / (b \<up> 3 * c)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 53";
 "-------- examples double fractions from: Mathematik 1 Schalk ----------------";
 "-------- examples double fractions from: Mathematik 1 Schalk ----------------";
 "-------- examples double fractions from: Mathematik 1 Schalk ----------------";
 "----- SRD Schalk I, p.69 Nr. 454b";
-val t = TermC.str2term "((2 - x)/(2*a)) / (2*a/(x - 2))";
+val t = TermC.parse_test @{context} "((2 - x)/(2*a)) / (2*a/(x - 2))";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(- 4 + 4 * x + - 1 * x \<up> 2) / (4 * a \<up> 2)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 35";
 "----- SRD Schalk I, p.69 Nr. 455a";
-val t = TermC.str2term "(a \<up> 2 + 1)/(a \<up> 2 - 1) / ((a+1)/(a - 1))";
+val t = TermC.parse_test @{context} "(a \<up> 2 + 1)/(a \<up> 2 - 1) / ((a+1)/(a - 1))";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(1 + a \<up> 2) / (1 + 2 * a + a \<up> 2)" then ()
 else error "rational.sml: diff.behav. in norm_Rational_mg 36";
 "----- Schalk I, p.69 Nr. 455b";
-val t = TermC.str2term "(x \<up> 2 - 4)/(y \<up> 2 - 9)/((2+x)/(3 - y))";
+val t = TermC.parse_test @{context} "(x \<up> 2 - 4)/(y \<up> 2 - 9)/((2+x)/(3 - y))";
 (* WN130911 non-termination due to non-termination of
-cancel_p_ thy (TermC.str2term ("(- 12 + 4 * y + 3 * x \<up> 2 + - 1 * (x \<up> 2 * y)) /" ^
+cancel_p_ thy (TermC.parse_test @{context} ("(- 12 + 4 * y + 3 * x \<up> 2 + - 1 * (x \<up> 2 * y)) /" ^
 "(- 18 + -9 * x + 2 * y \<up> 2 + x * y \<up> 2)"))
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(2 + - 1 * x) / (3 + y)" then ()
 else error "rational.sml: diff.behav. in norm_Rational_mg 37";
 *)
 "----- SK060904- 1a non-termination of cancel_p_ ?: worked before 0707xx";
-val t = TermC.str2term "(x \<up> 2 - 4)*(3 - y) / ((y \<up> 2 - 9)*(2+x))";
+val t = TermC.parse_test @{context} "(x \<up> 2 - 4)*(3 - y) / ((y \<up> 2 - 9)*(2+x))";
 (* WN130911 non-termination due to non-termination of
-cancel_p_ thy (TermC.str2term ("(- 12 + 4 * y + 3 * x \<up> 2 + - 1 * (x \<up> 2 * y)) /" ^
+cancel_p_ thy (TermC.parse_test @{context} ("(- 12 + 4 * y + 3 * x \<up> 2 + - 1 * (x \<up> 2 * y)) /" ^
 "(- 18 + -9 * x + 2 * y \<up> 2 + x * y \<up> 2)"))
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(2 + - 1 * x) / (3 + y)" then ()
 else error "rational.sml: diff.behav. in norm_Rational_mg 37b";
 *)
 "----- ?: worked before 0707xx";
-val t = TermC.str2term "(3 + - 1 * y) / (-9 + y \<up> 2)";
+val t = TermC.parse_test @{context} "(3 + - 1 * y) / (-9 + y \<up> 2)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "- 1 / (3 + y)"
 then () else error "rational.sml: - 1 / (3 + y) norm_Rational";
 "----- SRD Schalk I, p.69 Nr. 456b";
-val t = TermC.str2term "(b \<up> 3 - b \<up> 2) / (b \<up> 2+b) / (b \<up> 2 - 1)";
+val t = TermC.parse_test @{context} "(b \<up> 3 - b \<up> 2) / (b \<up> 2+b) / (b \<up> 2 - 1)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "b / (1 + 2 * b + b \<up> 2)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 38";
 "----- SRD Schalk I, p.69 Nr. 457b";
-val t = TermC.str2term "(16*a \<up> 2 - 9*b \<up> 2)/(2*a+3*a*b) / ((4*a+3*b)/(4*a \<up> 2 - 9*a \<up> 2*b \<up> 2))";
+val t = TermC.parse_test @{context} "(16*a \<up> 2 - 9*b \<up> 2)/(2*a+3*a*b) / ((4*a+3*b)/(4*a \<up> 2 - 9*a \<up> 2*b \<up> 2))";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "8 * a \<up> 2 + - 6 * a * b + - 12 * a \<up> 2 * b + 9 * a * b \<up> 2"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 39";
 "----- Schalk I, p.69 Nr. 458b works since 0707";
-val t = TermC.str2term "(2*a \<up> 2*x - a \<up> 2) / (a*x - b*x) / (b \<up> 2*(2*x - 1) / (x*(a - b)))";
+val t = TermC.parse_test @{context} "(2*a \<up> 2*x - a \<up> 2) / (a*x - b*x) / (b \<up> 2*(2*x - 1) / (x*(a - b)))";
 (*val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 :
 ###  rls: cancel_p on: (- 1 * a \<up> 2 + 2 * (a \<up> 2 * x)) / (a * x + - 1 * (b * x)) /
 ((- 1 * b \<up> 2 + 2 * (b \<up> 2 * x)) / (a * x + - 1 * (b * x)))
 exception Div raised
 BUT
-val t = TermC.str2term
+val t = TermC.parse_test @{context}
 ("(- 1 * a \<up> 2 + 2 * (a \<up> 2 * x)) / (a * x + - 1 * (b * x)) /" ^
 "((- 1 * b \<up> 2 + 2 * (b \<up> 2 * x)) / (a * x + - 1 * (b * x)))");
 NONE = cancel_p_ thy t;
 if UnparseC.term t = "a \<up> 2 / b \<up> 2" then ()
 else error "rational.sml: diff.behav. in norm_Rational_mg 39b";
 *)
 "----- SRD Schalk I, p.69 Nr. 459b";
-val t = TermC.str2term "(a \<up> 2 - b \<up> 2)/(a*b) / (4*(a+b) \<up> 2/a)";
+val t = TermC.parse_test @{context} "(a \<up> 2 - b \<up> 2)/(a*b) / (4*(a+b) \<up> 2/a)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(a + - 1 * b) / (4 * a * b + 4 * b \<up> 2)" then ()
 else error "rational.sml: diff.behav. in norm_Rational_mg 41";
 "----- Schalk I, p.69 Nr. 460b nonterm.SK";
-val t = TermC.str2term "(9*(x \<up> 2 - 8*x + 16) / (4*(y \<up> 2 - 2*y + 1))) / ((3*x - 12) / (16*y - 16))";
+val t = TermC.parse_test @{context} "(9*(x \<up> 2 - 8*x + 16) / (4*(y \<up> 2 - 2*y + 1))) / ((3*x - 12) / (16*y - 16))";
 (*val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 exception Div raised
 BUT
-val t = TermC.str2term
+val t = TermC.parse_test @{context}
 ("(144 + -72 * x + 9 * x \<up> 2) / (4 + -8 * y + 4 * y \<up> 2) /" ^
 "((- 12 + 3 * x) / (- 16 + 16 * y))");
 NONE = cancel_p_ thy t;
 if UnparseC.term t = !!!!!!!!!!!!!!!!!!!!!!!!!
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 42";
 *)
 "----- some variant of the above; was non-terminating before";
-val t = TermC.str2term "9*(x \<up> 2 - 8*x+16)*(16*y - 16)/(4*(y \<up> 2 - 2*y+1)*(3*x - 12))";
+val t = TermC.parse_test @{context} "9*(x \<up> 2 - 8*x+16)*(16*y - 16)/(4*(y \<up> 2 - 2*y+1)*(3*x - 12))";
 val SOME (t , _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(48 + - 12 * x) / (1 + - 1 * y)"
 then () else error "some variant of the above; was non-terminating before";
 "----- SRD Schalk I, p.70 Nr. 472a";
-val t = TermC.str2term ("((8*x \<up> 2 - 32*y \<up> 2) / (2*x + 4*y))  /  ((4*x - 8*y) / (x + y))");
+val t = TermC.parse_test @{context} ("((8*x \<up> 2 - 32*y \<up> 2) / (2*x + 4*y))  /  ((4*x - 8*y) / (x + y))");
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "x + y"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 43";
 "----- Schalk I, p.70 Nr. 478b ----- Rechenzeit: 5 sec";
-val t = TermC.str2term ("(a - (a*b + b \<up> 2)/(a+b))/(b+(a - b)/(1+(a+b)/(a - b))) / " ^
+val t = TermC.parse_test @{context} ("(a - (a*b + b \<up> 2)/(a+b))/(b+(a - b)/(1+(a+b)/(a - b))) / " ^
 		 "((a - a \<up> 2/(a+b))/(a+(a*b)/(a - b)))");
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(2 * a \<up> 3 + 2 * a \<up> 2 * b) / (a \<up> 2 * b + b \<up> 3)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 51";
 (*SRD Schalk I, p.69 Nr. 461a *)
-val t = TermC.str2term "(2/(x+3) + 2/(x - 3)) / (8*x/(x \<up> 2 - 9))";
+val t = TermC.parse_test @{context} "(2/(x+3) + 2/(x - 3)) / (8*x/(x \<up> 2 - 9))";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "1 / 2"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 44";
 (*SRD Schalk I, p.69 Nr. 464b *)
-val t = TermC.str2term "(a - a/(a - 2)) / (a + a/(a - 2))";
+val t = TermC.parse_test @{context} "(a - a/(a - 2)) / (a + a/(a - 2))";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(- 3 + a) / (- 1 + a)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 45";
 (*SRD Schalk I, p.69 Nr. 465b *)
-val t = TermC.str2term "((x+3*y)/9 + (4*y \<up> 2 - 9*z \<up> 2)/(16*x))   /   (x/9 + y/6 + z/4)";
+val t = TermC.parse_test @{context} "((x+3*y)/9 + (4*y \<up> 2 - 9*z \<up> 2)/(16*x))   /   (x/9 + y/6 + z/4)";
 (* WN130911 non-termination due to non-termination of
-cancel_p_ thy (TermC.str2term
+cancel_p_ thy (TermC.parse_test @{context}
 ("("(576 * x \<up> 2 + 1728 * (x * y) + 1296 * y \<up> 2 + - 2916 * z \<up> 2) /" ^
 "(576 * x \<up> 2 + 864 * (x * y) + 1296 * (x * z))"))
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(4 * x + 6 * y + -9 * z) / (4 * x)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 46";
 *)
 (*SRD Schalk I, p.69 Nr. 466b *)
-val t = TermC.str2term "((1 - 7*(x - 2)/(x \<up> 2 - 4)) / (6/(x+2))) / (3/(x+5)+30/(x \<up> 2 - 25))";
+val t = TermC.parse_test @{context} "((1 - 7*(x - 2)/(x \<up> 2 - 4)) / (6/(x+2))) / (3/(x+5)+30/(x \<up> 2 - 25))";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "(25 + - 10 * x + x \<up> 2) / 18"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 47";
 (*SRD Schalk I, p.70 Nr. 469 *)
-val t = TermC.str2term ("3*b \<up> 2 / (4*a \<up> 2 - 8*a*b + 4*b \<up> 2) / " ^
+val t = TermC.parse_test @{context} ("3*b \<up> 2 / (4*a \<up> 2 - 8*a*b + 4*b \<up> 2) / " ^
 "(a / (a \<up> 2*b - b \<up> 3)  +  (a - b) / (4*a*b \<up> 2 + 4*b \<up> 3)  -  1 / (4*b \<up> 2))");
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t = "- 3 * b \<up> 3 / (- 2 * a + 2 * b)"
 then () else error "rational.sml: diff.behav. in norm_Rational_mg 48";
 "-------- investigate rulesets for cancel_p ----------------------------------";
 "-------- investigate rulesets for cancel_p ----------------------------------";
 "-------- investigate rulesets for cancel_p ----------------------------------";
 val thy = @{theory "Rational"};
-val t = TermC.str2term "(a \<up> 2 + - 1*b \<up> 2) / (a \<up> 2 + - 2*a*b + b \<up> 2)";
+val t = TermC.parse_test @{context} "(a \<up> 2 + - 1*b \<up> 2) / (a \<up> 2 + - 2*a*b + b \<up> 2)";
-val tt = TermC.str2term "(1 * a + 1 * b) * (1 * a + - 1 * b)"(*numerator only*);
+val tt = TermC.parse_test @{context} "(1 * a + 1 * b) * (1 * a + - 1 * b)"(*numerator only*);
 "----- with rewrite_set_";
 val SOME (tt',asm) = rewrite_set_ ctxt false make_polynomial tt;
 if UnparseC.term tt'= "a \<up> 2 + - 1 * b \<up> 2" then () else error "rls chancel_p 1";
-val tt = TermC.str2term "((1 * a + - 1 * b) * (1 * a + - 1 * b))"(*denominator only*);
+val tt = TermC.parse_test @{context} "((1 * a + - 1 * b) * (1 * a + - 1 * b))"(*denominator only*);
 val SOME (tt',asm) = rewrite_set_ ctxt false make_polynomial tt;
 if UnparseC.term tt' = "a \<up> 2 + - 2 * a * b + b \<up> 2" then () else error "rls chancel_p 2";
 "----- with Derive.do_one; WN1130912 not investigated further, will be discontinued";
 val SOME (tt, _) = factout_p_ thy t;
 "...,(- 1 * b \<up> 2 + a \<up> 2) / (- 2 * (a * b) + a \<up> 2 + (- 1 * b) \<up> 2) ]";
 (*default_print_depth 99;*) map (Rule.to_string o #2) der; (*default_print_depth 3;*)
 (*default_print_depth 99;*) map (UnparseC.term o #1 o #3) der; (*default_print_depth 3;*)
 val der = Derive.do_one ctxt Atools_erls rules ro NONE
-	(TermC.str2term "(1 * a + 1 * b) * (1 * a + - 1 * b)");
+	(TermC.parse_test @{context} "(1 * a + 1 * b) * (1 * a + - 1 * b)");
 (*default_print_depth 99;*) writeln (Derive.deriv2str der); (*default_print_depth 3;*)
 val {rules, rew_ord=(_,ro),...} = Rule_Set.rep (get_rls @{context}  "rev_rew_p");
 val der = Derive.do_one ctxt Atools_erls rules ro NONE
-	(TermC.str2term "(1 * a + - 1 * b) * (1 * a + - 1 * b)");
+	(TermC.parse_test @{context} "(1 * a + - 1 * b) * (1 * a + - 1 * b)");
 (*default_print_depth 99;*) writeln (Derive.deriv2str der); (*default_print_depth 3;*)
 (*default_print_depth 99;*) map (UnparseC.term o #1) der; (*default_print_depth 3;*)
 (*WN060829 ...postponed*)
 "-------- WN1309xx non-terminating rls norm_Rational -------------------------";
 "-------- WN1309xx non-terminating rls norm_Rational -------------------------";
 "-------- WN1309xx non-terminating rls norm_Rational -------------------------";
 (*------- Schalk I, p.70 Nr. 480b; a/b : c/d translated to a/b * d/c*)
-val t = TermC.str2term
+val t = TermC.parse_test @{context}
 ("((12*x*y / (9*x \<up> 2 - y \<up> 2))  /  (1 / (3*x - y) \<up> 2 - 1 / (3*x + y) \<up> 2))  *  " ^
 	"((1/(x - 5*y) \<up> 2  -  1/(x + 5*y) \<up> 2)  /  (20*x*y / (x \<up> 2 - 25*y \<up> 2)))");
 (*1st factor separately simplified *)
-val t = TermC.str2term "((12*x*y / (9*x \<up> 2 - y \<up> 2))  /  (1 / (3*x - y) \<up> 2 - 1 / (3*x + y) \<up> 2))";
+val t = TermC.parse_test @{context} "((12*x*y / (9*x \<up> 2 - y \<up> 2))  /  (1 / (3*x - y) \<up> 2 - 1 / (3*x + y) \<up> 2))";
 val SOME (t', _) = rewrite_set_ ctxt false norm_Rational t;
 if UnparseC.term t' = "(- 9 * x \<up> 2 + y \<up> 2) / - 1" then () else error "Nr. 480b lhs changed";
 (*2nd factor separately simplified *)
-val t = TermC.str2term "((1/(x - 5*y) \<up> 2  -  1/(x + 5*y) \<up> 2)  /  (20*x*y / (x \<up> 2 - 25*y \<up> 2)))";
+val t = TermC.parse_test @{context} "((1/(x - 5*y) \<up> 2  -  1/(x + 5*y) \<up> 2)  /  (20*x*y / (x \<up> 2 - 25*y \<up> 2)))";
 val SOME (t',_) = rewrite_set_ ctxt false norm_Rational t; UnparseC.term t';
 if UnparseC.term t' = "- 1 / (- 1 * x \<up> 2 + 25 * y \<up> 2)" then () else error "Nr. 480b rhs changed";
 "-------- Schalk I, p.70 Nr. 477a: terms are exploding ?!?";
-val t = TermC.str2term ("b*y/(b - 2*y)/((b \<up> 2 - y \<up> 2)/(b+2*y))  /" ^
+val t = TermC.parse_test @{context} ("b*y/(b - 2*y)/((b \<up> 2 - y \<up> 2)/(b+2*y))  /" ^
 		 "(b \<up> 2*y + b*y \<up> 2) * (a+x) \<up> 2  /  ((b \<up> 2 - 4*y \<up> 2) * (a+2*x) \<up> 2)");
 (*val SOME (t',_) = rewrite_set_ ctxt false norm_Rational t;
 :
 ###  rls: cancel_p on: (a \<up> 2 * (b * y) + 2 * (a * (b * (x * y))) + b * (x \<up> 2 * y)) /
 (b + - 2 * y) /
 4 * (b \<up> 2 * x \<up> 2) +
 - 16 * (x \<up> 2 * y \<up> 2))
 exception Div raised
 BUT
-val t = TermC.str2term
+val t = TermC.parse_test @{context}
 ("(a \<up> 2 * (b * y) + 2 * (a * (b * (x * y))) + b * (x \<up> 2 * y)) /" ^
 "(b + - 2 * y) /" ^
 "((b \<up> 2 + - 1 * y \<up> 2) / (b + 2 * y)) /" ^
 "(b \<up> 2 * y + b * y \<up> 2) /" ^
 "(a \<up> 2 * b \<up> 2 + -4 * (a \<up> 2 * y \<up> 2) + 4 * (a * (b \<up> 2 * x)) +" ^
 "- 16 * (x \<up> 2 * y \<up> 2))");
 NONE = cancel_p_ thy t;
 *)
 (*------- Schalk I, p.70 Nr. 476b in 2003 this worked using 10 sec. *)
-val t = TermC.str2term
+val t = TermC.parse_test @{context}
 ("((a \<up> 2 - b \<up> 2)/(2*a*b) + 2*a*b/(a \<up> 2 - b \<up> 2))  /  ((a \<up> 2 + b \<up> 2)/(2*a*b) + 1)    / " ^
 "((a \<up> 2 + b \<up> 2) \<up> 2  /  (a + b) \<up> 2)");
 (* Rewrite.trace_on := true; (*true false*)
 rewrite_set_ ctxt false norm_Rational t;
 :
 if UnparseC.term t = "1 / (a \<up> 2 + - 1 * b \<up> 2)" then ()
 else error "rational.sml: diff.behav. in norm_Rational_mg 49";
 *)
 "-------- Schalk I, p.70 Nr. 480a: terms are exploding ?!?";
-val t = TermC.str2term ("(1/x + 1/y + 1/z)  /  (1/x - 1/y - 1/z)  /  " ^
+val t = TermC.parse_test @{context} ("(1/x + 1/y + 1/z)  /  (1/x - 1/y - 1/z)  /  " ^
 "(2*x \<up> 2 / (x \<up> 2 - z \<up> 2) / (x / (x + z)  +  x / (x - z)))");
 (* Rewrite.trace_on := true; (*true false*)
 rewrite_set_ ctxt false norm_Rational t;
 :
 ####  rls: cancel_p on: (2 * (x \<up> 6 * (y \<up> 2 * z)) + 2 * (x \<up> 6 * (y * z \<up> 2)) +
 2 * (x \<up> 4 * (y * z \<up> 4)) +
 - 2 * (x \<up> 3 * (y \<up> 2 * z \<up> 4)))
 *)
 "-------- Schalk I, p.60 Nr. 215d: terms are exploding, internal loop does not terminate";
-val t = TermC.str2term "(a-b) \<up> 3 * (x+y) \<up> 4 / ((x+y) \<up> 2 * (a-b) \<up> 5)";
+val t = TermC.parse_test @{context} "(a-b) \<up> 3 * (x+y) \<up> 4 / ((x+y) \<up> 2 * (a-b) \<up> 5)";
 (* Kein Wunder, denn Z???ler und Nenner extra als Polynom dargestellt ergibt:
-val t = TermC.str2term "(a-b) \<up> 3 * (x+y) \<up> 4";
+val t = TermC.parse_test @{context} "(a-b) \<up> 3 * (x+y) \<up> 4";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 UnparseC.term t;
 "a \<up> 3 * x \<up> 4 + 4 * a \<up> 3 * x \<up> 3 * y +6 * a \<up> 3 * x \<up> 2 * y \<up> 2 +4 * a \<up> 3 * x * y \<up> 3 +a \<up> 3 * y \<up> 4 +-3 * a \<up> 2 * b * x \<up> 4 +- 12 * a \<up> 2 * b * x \<up> 3 * y +- 18 * a \<up> 2 * b * x \<up> 2 * y \<up> 2 +- 12 * a \<up> 2 * b * x * y \<up> 3 +-3 * a \<up> 2 * b * y \<up> 4 +3 * a * b \<up> 2 * x \<up> 4 +12 * a * b \<up> 2 * x \<up> 3 * y +18 * a * b \<up> 2 * x \<up> 2 * y \<up> 2 +12 * a * b \<up> 2 * x * y \<up> 3 +3 * a * b \<up> 2 * y \<up> 4 +- 1 * b \<up> 3 * x \<up> 4 +-4 * b \<up> 3 * x \<up> 3 * y +-6 * b \<up> 3 * x \<up> 2 * y \<up> 2 +-4 * b \<up> 3 * x * y \<up> 3 +- 1 * b \<up> 3 * y \<up> 4";
-val t = TermC.str2term "((x+y) \<up> 2 * (a-b) \<up> 5)";
+val t = TermC.parse_test @{context} "((x+y) \<up> 2 * (a-b) \<up> 5)";
 val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 UnparseC.term t;
 "a \<up> 5 * x \<up> 2 + 2 * a \<up> 5 * x * y + a \<up> 5 * y \<up> 2 +-5 * a \<up> 4 * b * x \<up> 2 +- 10 * a \<up> 4 * b * x * y +-5 * a \<up> 4 * b * y \<up> 2 +10 * a \<up> 3 * b \<up> 2 * x \<up> 2 +20 * a \<up> 3 * b \<up> 2 * x * y +10 * a \<up> 3 * b \<up> 2 * y \<up> 2 +- 10 * a \<up> 2 * b \<up> 3 * x \<up> 2 +- 20 * a \<up> 2 * b \<up> 3 * x * y +- 10 * a \<up> 2 * b \<up> 3 * y \<up> 2 +5 * a * b \<up> 4 * x \<up> 2 +10 * a * b \<up> 4 * x * y +5 * a * b \<up> 4 * y \<up> 2 +- 1 * b \<up> 5 * x \<up> 2 +- 2 * b \<up> 5 * x * y +- 1 * b \<up> 5 * y \<up> 2";
 anscheinend macht dem Rechner das Krzen diese Bruches keinen Spass mehr ...*)
 "-------- Schalk I, p.70 Nr. 480b: terms are exploding, Rewrite.trace_on stops at";
-val t = TermC.str2term ("((12*x*y/(9*x \<up> 2 - y \<up> 2))/" ^
+val t = TermC.parse_test @{context} ("((12*x*y/(9*x \<up> 2 - y \<up> 2))/" ^
 		 "(1/(3*x - y) \<up> 2 - 1/(3*x + y) \<up> 2)) *" ^
 		 "(1/(x - 5*y) \<up> 2 - 1/(x + 5*y) \<up> 2)/" ^
 		 "(20*x*y/(x \<up> 2 - 25*y \<up> 2))");
 (*val SOME (t, _) = rewrite_set_ ctxt false norm_Rational t;
 :

changeset 60565	f92963a33fe3
parent 60549	c0a775618258
child 60571	19a172de0bb5