1.1 --- a/src/Doc/isac/jrocnik/Test_Complex.thy	Mon Sep 16 12:27:20 2013 +0200
     1.2 +++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
     1.3 @@ -1,113 +0,0 @@
     1.4 -theory Test_Complex imports Isac begin
     1.5 -
     1.6 -section {*terms and operations*}
     1.7 -ML {*
     1.8 -  print_depth 999; @{term "Complex 1 (2::real)"};
     1.9 -*}
    1.10 -ML {*
    1.11 -@{term "Complex 1 2 + Complex 3 4"};
    1.12 -print_depth 999; str2term "Complex 1 2 + Complex 3 4"; print_depth 999;
    1.13 -*}
    1.14 -ML {*
    1.15 -@{term "Complex 1 2 * Complex 3 4"};
    1.16 -@{term "Complex 1 2 - Complex 3 4"};
    1.17 -@{term "Complex 1 2 / Complex 3 4"};
    1.18 -(*@{term "Complex 1 2 ^ Complex 3 4"};
    1.19 -  Type unification failed: Clash of types "complex" and "nat"
    1.20 -  Operator:  op ^ (Complex 1 2) :: nat \<Rightarrow> complex
    1.21 -  Operand:   Complex 3 4 :: complex*)
    1.22 -*}
    1.23 -ML {*
    1.24 -term2str @{term "Complex 1 2 + Complex 3 4"};
    1.25 -term2str @{term "Complex 1 2 / Complex 3 4"};
    1.26 -*}
    1.27 -
    1.28 -ML {*
    1.29 -val a = @{term "Complex 1 2"};
    1.30 -atomty a;
    1.31 -val a = str2term "Complex 1 2";
    1.32 -atomty a;
    1.33 -*}
    1.34 -ML {*
    1.35 -val b = @{term "Complex 3 4"};
    1.36 -val b = str2term "Complex 3 4";
    1.37 -(*a + (b::complex); ERROR: term + term*)
    1.38 -*}
    1.39 -
    1.40 -section {*use the operations for simplification*}
    1.41 -
    1.42 -
    1.43 -
    1.44 -subsection {*example 1 -- ADD*}
    1.45 -ML {*
    1.46 -  print_depth 1;
    1.47 -  val (thy, ro, er) = (@{theory}, tless_true, eval_rls);
    1.48 -*}
    1.49 -ML {*
    1.50 -  val thm = @{thm "complex_add"};
    1.51 -  val t = str2term "Complex 1 2 + Complex 3 4";
    1.52 -  val SOME _ = rewrite_ thy ro er true thm t;
    1.53 -  val SOME (t', _) = rewrite_ thy ro er true thm t;
    1.54 -  "Complex (1 + 3) (2 + 4)" = term2str t';
    1.55 -*}
    1.56 -
    1.57 -
    1.58 -
    1.59 -
    1.60 -subsection {*example 2 -- ADD, MULT*}
    1.61 -ML {*
    1.62 -
    1.63 -val Simplify_complex = append_rls "Simplify_complex" e_rls
    1.64 -  [ Thm  ("complex_add",num_str @{thm complex_add}),
    1.65 -		    Thm  ("complex_mult",num_str @{thm complex_mult}),
    1.66 -		    Rls_ norm_Poly
    1.67 -		  ];
    1.68 -
    1.69 -*}
    1.70 -ML {*
    1.71 -
    1.72 -val t = str2term "(Complex 1 2 * (Complex 3 4 + Complex 5 (6::real)))";
    1.73 -term2str t = "Complex 1 2 * (Complex 3 4 + Complex 5 6)";
    1.74 -atomty t;
    1.75 -
    1.76 -*}
    1.77 -ML {*
    1.78 -
    1.79 -
    1.80 -val SOME (t, _) = rewrite_set_ thy true Simplify_complex t;
    1.81 -
    1.82 -term2str t = "Complex -12 26";
    1.83 -atomty t;
    1.84 -
    1.85 -*}
    1.86 -
    1.87 -subsection {*example 3*}
    1.88 -ML {*
    1.89 -val Simplify_complex = append_rls "Simplify_complex" e_rls
    1.90 -  [ Thm  ("complex_mult",num_str @{thm complex_mult}),
    1.91 -    Thm  ("complex_inverse",num_str @{thm complex_inverse}),
    1.92 -		    Rls_ norm_Poly
    1.93 -		  ];
    1.94 -*}
    1.95 -ML {*
    1.96 -val t = str2term "inverse (Complex (2::real) (4::real))";
    1.97 -term2str t = "inverse Complex (2) (4)";
    1.98 -atomty t;
    1.99 -*}
   1.100 -ML {*
   1.101 -trace_rewrite := true;
   1.102 -val SOME (t, _) = rewrite_set_ thy true Simplify_complex t;
   1.103 -trace_rewrite := false;
   1.104 -term2str t = "Complex -12 26";
   1.105 -atomty t;
   1.106 -*}
   1.107 -
   1.108 -
   1.109 -
   1.110 -ML {*
   1.111 -trace_rewrite := true;
   1.112 -trace_rewrite := false;
   1.113 -*}
   1.114 -
   1.115 -end
   1.116 -