isac-java/src/java-tests/isac/gui/mawen/syntax/TestAst.scala
author mmahringer <s1520454056@students.fh-hagenberg.at>
Thu, 06 Jul 2017 16:00:33 +0200
changeset 5183 a85c7ff660d9
parent 5149 e6c0c12a36b0
child 5191 bcc8361629d7
permissions -rw-r--r--
remove warinings
     1 package isac.gui.mawen.syntax
     2 
     3 import isac.gui.mawen.scalaterm.TestsDATA
     4 import isac.gui.mawen.TestDATA
     5 import isac.gui.mawen.syntax.Ast._  //"._" simplifies "Ast.Ast" to "Ast"
     6 import edu.tum.cs.isabelle.pure._   // for Term
     7 import isac.gui.mawen.syntax.isabelle.XLibrary
     8 import isac.gui.mawen.editor.TestDATAeditor
     9 
    10 import junit.framework.TestCase
    11 import org.junit.Assert._
    12 
    13 
    14 class TestAst extends TestCase {
    15 
    16   // x / y
    17   def a1 = Appl(List(Constant("Fields.inverse_class.divide"), Variable ("x"), Variable ("y")))
    18   // a * b / c
    19   def a2 = Appl(List(Constant("Groups.times_class.times"), Variable ("a"), Appl(List(Constant("Fields.inverse_class.divide"), Variable("b"), Variable("c")))))
    20   // sin(a + b) / c
    21   def a3 = Appl(List
    22       (Constant("Fields.inverse_class.divide"), 
    23           Appl(List(Constant("sin"), 
    24               Appl(List(Constant("Groups.plus_class.plus"), 
    25                   Variable("a"), 
    26                   Variable("b")
    27               ))
    28           ))
    29           ,Variable ("c")
    30       ))
    31   def a4 = Appl(List(Constant("Groups.plus_class.plus"), Appl(List(Constant("Groups.plus_class.plus"), Variable("a"), Variable("b"))), Variable("c")))
    32   def a5 = Appl(List(Constant("Groups.plus_class.plus"), Variable("a"), Appl(List(Constant("Groups.plus_class.plus"), Variable("b"), Variable("c")))))
    33   var post_ast : Ast.Ast = //copied from Isabelle2016-1-MAWEN, types dropped
    34     Appl(List(
    35       Constant("_tuple"),  
    36       Variable("aaa"),
    37       Appl(List(
    38         Constant("_tuple_args"),  
    39         Variable("bbb"),
    40         Appl(List(
    41           Constant("_tuple_args"),
    42           Variable("ccc"),
    43           Appl(List(
    44             Constant("_tuple_arg"),  
    45             Variable("ddd")))))))))
    46   
    47   def test_prefix_string_of() {
    48     println("/--BEGIN isac.gui.mawen.asttrans.TestAst#test_prefix_string_of");
    49     
    50     assertEquals(Ast.prefix_string_of(a1), "/ x y")
    51     assertEquals(Ast.prefix_string_of(a2), "* a / b c")
    52     assertEquals(Ast.prefix_string_of(a3), "/ sin + a b c")
    53     
    54     println("\\--END isac.gui.mawen.asttrans.TestAst#test_prefix_string_of");
    55   }
    56   
    57   def test_math_string_of() {
    58     println("/--BEGIN isac.gui.mawen.asttrans.TestAst#test_math_string_of");
    59     
    60     assertEquals(Ast.math_string_of(a1), "x / y")
    61     assertEquals(Ast.math_string_of(a2), "a * (b / c)")
    62     assertEquals(Ast.math_string_of(a3), "sin (a + b) / c")
    63 
    64     assertEquals(Ast.math_string_of(a4), "a + b + c")
    65     assertEquals(Ast.math_string_of(a5), "a + (b + c)")
    66     assertEquals(Ast.math_string_of(post_ast), "(aaa, bbb, ccc, ddd)")
    67     
    68     println("\\--END isac.gui.mawen.asttrans.TestAst#test_math_string_of");
    69   }
    70   
    71   /* 
    72    * The examples for reference of Natalie Karl initially took terms,
    73    * @see isac.gui.mawen.scalaterm.TestUtil.
    74    * Here we check, whether term_to_ast + Ast.string_of give the same result.
    75    */
    76   def test_examples_for_NK() {
    77     println("/--BEGIN isac.gui.mawen.asttrans.TestAst#test_examples_for_NK");
    78 
    79     assertEquals(Ast.math_string_of(Syntax_Phases.term_to_ast(TestsDATA.t1)),
    80         "aaa + bbb = processed_by_Isabelle_Isac ")
    81     assertEquals(Ast.math_string_of(Syntax_Phases.term_to_ast(TestsDATA.t2)), 
    82         "a + 2 * b + 3 * (c + d)")
    83 
    84     assertEquals(Ast.math_string_of(Syntax_Phases.term_to_ast(TestsDATA.t31)), 
    85         "aaa + bbb + ccc")
    86     assertEquals(Ast.math_string_of(Syntax_Phases.term_to_ast(TestsDATA.t32)), 
    87         "aaa + (bbb + ccc)")
    88 
    89     assertEquals(Ast.math_string_of(Syntax_Phases.term_to_ast(TestsDATA.t41)), 
    90         "Diff (x + sin (x ^ 2), x)")
    91     assertEquals(Ast.math_string_of(Syntax_Phases.term_to_ast(TestsDATA.t42)), 
    92         "d_d x (x + sin (x ^ 2))")
    93 
    94     // MAWEN example for reference No.1
    95     assertEquals(Ast.math_string_of(Syntax_Phases.term_to_ast(TestsDATA.tt1())), 
    96         "Simplify (1 + 2 * x * (y + 3) / (4 * z * (y + 3)) + 5)")
    97     assertEquals(Ast.math_string_of(Syntax_Phases.term_to_ast(TestsDATA.tt3())), 
    98         "1 + 2 * x * (y + 3) / (4 * z * (y + 3)) + 5")
    99     assertEquals(Ast.math_string_of(Syntax_Phases.term_to_ast(TestsDATA.tt4())), 
   100         "1 + 2 * x / (4 * z) + 5")
   101     assertEquals(Ast.math_string_of(Syntax_Phases.term_to_ast(TestsDATA.tt5())), 
   102         "1 + x / (2 * z) + 5")
   103     assertEquals(Ast.math_string_of(Syntax_Phases.term_to_ast(TestsDATA.tt6())), 
   104         "6 + x / (2 * z)")
   105 
   106     println("\\--END isac.gui.mawen.asttrans.TestAst#test_examples_for_NK");
   107   }
   108 
   109   //test additional examples with BOX, CURSOR, GAP
   110   def test_BOX_CURSOR_GAP() {
   111     println("/--BEGIN isac.gui.mawen.asttrans.TestAst#test_BOX_CURSOR_GAP");
   112     
   113     assertEquals("aaa + bbb", Ast.math_string_of(TestDATAeditor.nest_BOX_1))   
   114     assertEquals("aaa + bbb", Ast.math_string_of(TestDATAeditor.nest_BOX_2))   
   115     assertEquals("aaa + bbb", Ast.math_string_of(TestDATAeditor.nest_BOX_3))
   116 
   117     assertEquals("aaa + bbb", Ast.math_string_of(TestDATAeditor.nest_BOX_1_CURSOR))   
   118     assertEquals(  "# + bbb", Ast.math_string_of(TestDATAeditor.nest_BOX_1_CURSOR_GAP))
   119     assertEquals("aaa + bbb", Ast.math_string_of(TestDATAeditor.nest_BOX_1_CURSOR_b))
   120 
   121     assertEquals("aaa + bbb", Ast.math_string_of(TestDATAeditor.nest_CURSOR_BOX_3A))   
   122     assertEquals("aaa + bbb", Ast.math_string_of(TestDATAeditor.nest_CURSOR_BOX_3B))
   123 
   124 
   125     assertEquals("d_d x x + d_d x (sin (x ^ 2))", Ast.math_string_of(TestDATAeditor.box_05))   
   126     assertEquals("d_d bdv (sin (u)) = cos (u) * d_d bdv u", Ast.math_string_of(TestDATAeditor.box_06))   
   127     assertEquals("d_d x x + cos (x ^ 2) * d_d x #", Ast.math_string_of(TestDATAeditor.box_07_with_cursor))   
   128     assertEquals("a + (# + c)", Ast.math_string_of(TestDATAeditor.box_gap_cursor))   
   129     assertEquals("#", Ast.math_string_of(TestDATAeditor.box_with_cursor_on_gap))   
   130     assertEquals("# + #", Ast.math_string_of(TestDATAeditor.in_1a))   
   131     assertEquals("a + # / #", Ast.math_string_of(TestDATAeditor.in_1b))   
   132     assertEquals("a + b / #", Ast.math_string_of(TestDATAeditor.in_1c))   
   133 
   134     println("\\--END isac.gui.mawen.asttrans.TestAst#test_BOX_CURSOR_GAP");
   135   }
   136 
   137 
   138     /* from Isabelle2016-1-MAWEN ast.ML: 
   139      * fun try_rules ((lhs, rhs) :: pats) ast = (*WN*)
   140      * 
   141      * lemma "[aaa,bbb] = ddd" --- term_to_ast ---
   142      * with types dropped in ast and rule.
   143      * 
   144      * assert was too expensive at this moment.
   145      */
   146   def test_list_normal() {
   147     println("/--BEGIN isac.gui.mawen.asttrans.TestAst#test_list_normal");
   148     
   149     //======= 1.successful application 
   150     //###try_rules ast: Appl[Constant("List.list.Cons"), Appl[Constant("_constrain"), Appl[Constant("_free"), Variable("bbb"]), Appl[Constant("_ofsort"), Appl[Constant("_tfree"), Variable("'a"]), Constant("\ <^class>HOL.type"]]), Constant("List.list.Nil"]) 
   151     //###try_rules lhs: Appl[Constant("List.list.Cons"), Variable("x"), Constant("List.list.Nil"]) 
   152     //###try_rules rhs: Appl[Constant("_list"), Variable("x"]) 
   153     //------- ast in try_rules (from additional output):
   154     var ast =
   155       Ast.Appl(List(
   156         Ast.Constant("List.list.Cons"),
   157         Ast.Variable("bbb"),
   158         Ast.Constant("List.list.Nil")))
   159     var lhs =
   160       Appl(List(
   161         Constant("List.list.Cons"),
   162         Variable("x"),
   163         Constant("List.list.Nil")))
   164     var rhs =
   165       Appl(List(
   166         Constant("_list"),
   167         Variable("x")))
   168     assertEquals(Ast.matches(ast, lhs), Some((Map("x" -> Variable("bbb")),List())))
   169     // //--------------- tests BEFORE made local to normalize ---------------\\
   170     //assertEquals(Ast.xtry(ast, "List.list.Cons"), Some(Appl(List(Constant("_list"), Variable("bbb")))))
   171     //assertEquals(Ast.try_rules(XSyntax.print_rules("List.list.Cons"), ast), Some(Appl(List(Constant("_list"), Variable("bbb")))))
   172     //assertEquals(Ast.try_rules(List((lhs, rhs)), ast), Some(Appl(List(Constant("_list"), Variable("bbb")))))
   173 
   174     //assertEquals(Ast.rewrite(ast), Some(Appl(List(Constant("_list"), Variable("bbb")))))
   175     //assertEquals(Ast.norm_root(ast), Appl(List(Constant("_list"), Variable("bbb"))))
   176     //assertEquals(Ast.norm(ast),      Appl(List(Constant("_list"), Variable("bbb"))))
   177     //assertEquals(Ast.normal(ast),    Appl(List(Constant("_list"), Variable("bbb"))))
   178     // \\--------------- tests BEFORE made local to normalize ---------------//
   179     assertEquals(Ast.normalize(XSyntax.print_rules, ast), Appl(List(Constant("_list"), Variable("bbb"))))
   180 
   181     //------- whole ast calling try_rules:
   182     ast =
   183       Ast.Appl(List(
   184         Ast.Constant("List.list.Cons"),
   185         Ast.Variable("aaa"),
   186         Ast.Appl(List(
   187           Ast.Constant("List.list.Cons"),
   188           Ast.Variable("bbb"),
   189           Ast.Appl(List(
   190             Ast.Constant("List.list.Cons"),
   191             Ast.Variable("ccc"),
   192             Ast.Constant("List.list.Nil")))))))            
   193     assertEquals(Ast.matches(ast, lhs), None) //--> None: the rewriter calls try_rules!
   194     // //--------------- tests BEFORE made local to normalize ---------------\\
   195     //assertEquals(Ast.xtry(ast, "List.list.Cons"), None)
   196     //assertEquals(Ast.try_rules(XSyntax.print_rules("List.list.Cons"), ast), None)
   197     //assertEquals(Ast.try_rules(List((lhs, rhs)), ast), None)
   198 
   199     //assertEquals(Ast.rewrite(ast), None)
   200     //assertEquals(Ast.norm_root(ast), Appl(List(Constant("List.list.Cons"), Variable("aaa"), Appl(List(Constant("List.list.Cons"), Variable("bbb"), Appl(List(Constant("List.list.Cons"), Variable("ccc"), Constant("List.list.Nil"))))))))
   201     //assertEquals(Ast.normal(ast),    Appl(List(Constant("_list"), Appl(List(Constant("_args"), Variable("aaa"), Appl(List(Constant("_args"), Variable("bbb"), Variable("ccc"))))))))
   202     //assertEquals(Ast.normal(ast),    Appl(List(Constant("_list"), Appl(List(Constant("_args"), Variable("aaa"), Appl(List(Constant("_args"), Variable("bbb"), Variable("ccc"))))))))
   203     // \\--------------- tests BEFORE made local to normalize ---------------//
   204     assertEquals(Ast.normalize(XSyntax.print_rules, ast),
   205       Appl(List(
   206         Constant("_list"), Appl(List(
   207           Constant("_args"), Variable("aaa"), Appl(List(
   208             Constant("_args"), Variable("bbb"), Variable("ccc"))))))))
   209             
   210     /* output from Isabelle_Isac adds types to above structure:
   211        Appl(List(
   212 /*_list*/Constant("_list"), Appl(List(
   213 /*_args*/  Constant("_args"), Appl(List(
   214              Constant("_constrain"), Appl(List(
   215 /* aaa */      Constant("_free"), Variable("aaa"))), Appl(List(
   216                  Constant("_ofsort"), Appl(List(
   217                    Constant("_tfree"), Variable("'a"))), Constant("\\<^class>HOL.type"))))), Appl(List(
   218 /*_args*/            Constant("_args"), Appl(List(
   219                        Constant("_constrain"), Appl(List(
   220 /* bbb */                Constant("_free"), Variable("bbb"))), Appl(List(
   221                            Constant("_ofsort"), Appl(List(
   222                              Constant("_tfree"), Variable("'a"))), Constant("\\<^class>HOL.type"))))), Appl(List(
   223                                Constant("_constrain"), Appl(List(
   224 /* ccc */                        Constant("_free"), Variable("ccc"))), Appl(List(
   225                                    Constant("_ofsort"), Appl(List(
   226                                      Constant("_tfree"), Variable("'a"))), Constant("\\<^class>HOL.type")))))))))))
   227      */
   228 
   229     ast =
   230       Appl(List(
   231         Constant("_list"), Appl(List(
   232           Constant("_args"), Variable("aaa"), Appl(List(
   233             Constant("_args"), Variable("bbb"), Variable("ccc")))))))    
   234     assertEquals("[aaa, bbb, ccc]", Ast.math_string_of(ast))
   235     
   236     println("\\--END isac.gui.mawen.asttrans.TestAst#test_list_normal");
   237   }
   238 
   239   def test_tuple_normal() = {
   240     println("/--BEGIN isac.gui.mawen.asttrans.TestAst#test_tuple_normal");
   241     
   242     // cp from ScalaTermFromString#test_etc, term_str = "(aaa, bbb, ccc, ddd)"
   243     var term_from_Isabelle_Isac =
   244       App(
   245         App(
   246           Const("Product_Type.Pair", Type("fun", List(TFree("'a", List("HOL.type")),Type("fun", List(Type("Product_Type.prod", List(TFree("'b", List("HOL.type")),Type("Product_Type.prod", List(TFree("'c", List("HOL.type")),TFree("'d", List("HOL.type")))))),Type("Product_Type.prod", List(TFree("'a", List("HOL.type")),Type("Product_Type.prod", List(TFree("'b", List("HOL.type")),Type("Product_Type.prod", List(TFree("'c", List("HOL.type")),TFree("'d", List("HOL.type"))))))))))))),
   247           Free("aaa", TFree("'a", List("HOL.type")))),
   248         App(
   249           App(
   250             Const("Product_Type.Pair", Type("fun", List(TFree("'b", List("HOL.type")),Type("fun", List(Type("Product_Type.prod", List(TFree("'c", List("HOL.type")),TFree("'d", List("HOL.type")))),Type("Product_Type.prod", List(TFree("'b", List("HOL.type")),Type("Product_Type.prod", List(TFree("'c", List("HOL.type")),TFree("'d", List("HOL.type"))))))))))),
   251             Free("bbb", TFree("'b", List("HOL.type")))),
   252           App(
   253             App(
   254               Const("Product_Type.Pair", Type("fun", List(TFree("'c", List("HOL.type")),Type("fun", List(TFree("'d", List("HOL.type")),Type("Product_Type.prod", List(TFree("'c", List("HOL.type")),TFree("'d", List("HOL.type"))))))))),
   255               Free("ccc", TFree("'c", List("HOL.type")))),
   256             Free("ddd", TFree("'d", List("HOL.type"))
   257           ))
   258         ))
   259     var simple_ast = Syntax_Phases.simple_ast_of(term_from_Isabelle_Isac)
   260     assertEquals(simple_ast,
   261       Appl(List(  //println(raw_string_of(simple_ast))
   262         Constant("Product_Type.Pair"),
   263         Variable("aaa"),
   264         Appl(List(
   265           Constant("Product_Type.Pair"),
   266           Variable("bbb"),
   267           Appl(List(
   268             Constant("Product_Type.Pair"), //???vvvvvvvvvvvvv
   269             Variable("ccc"),
   270             Variable("ddd")))
   271           ))
   272         ))
   273       )
   274     var pre_ast : Ast.Ast = simple_ast
   275 //    pre_ast : Ast.Ast =  //copied from Isabelle2016-1-MAWEN, types dropped MAY
   276 //      Appl(List(
   277 //        Constant("Product_Type.Pair"),
   278 //        Variable("aaa"),
   279 //        Appl(List(
   280 //          Constant("Product_Type.Pair"),
   281 //          Variable("bbb"),
   282 //          Appl(List(
   283 //            Constant("Product_Type.Pair"),
   284 //            Appl(List(                     //???^^^^^^^^^^^
   285 //               Variable("ccc"))),
   286 //               Variable("ddd")))))))
   287     var post_ast : Ast.Ast = //copied from Isabelle2016-1-MAWEN, types dropped
   288       Appl(List(
   289         Constant("_tuple"),  
   290         Variable("aaa"),
   291         Appl(List(
   292           Constant("_tuple_args"),  
   293           Variable("bbb"),
   294           Appl(List(
   295             Constant("_tuple_args"),
   296             Variable("ccc"),
   297             Appl(List(
   298               Constant("_tuple_arg"),  
   299               Variable("ddd")))))))))
   300     val ast = normalize(XSyntax.print_rules, pre_ast)
   301     assertEquals(ast, post_ast)        // LETZTES "_tuple_args" <> "_tuple_args"
   302                   
   303     println("\\--END isac.gui.mawen.asttrans.TestAst#test_tuple_normal");
   304   }
   305   
   306   def test_matches() = {
   307     println("/--BEGIN isac.gui.mawen.asttrans.TestAst#test_matches");
   308     
   309     // at this ast rule 2 should match
   310     val ML4_2old_ast = //AFTER rewrite 3, rule 2, from ###ML old_ast
   311       Appl(List(
   312         Constant("_tuple"),  
   313         Variable("bbb"),
   314         Appl(List(
   315           Constant("_tuple_arg"),   //<---vv
   316           Appl(List(
   317             Constant("_tuple"),     //<---^^
   318               Variable("ccc"),
   319               Appl(List(
   320                 Constant("_tuple_arg"),  
   321                 Variable("ddd")))  ))))))   //->
   322     val ML4_2lhs = //AFTER rewrite 3, rule 2, from ###ML try_rules lhs:
   323       Appl(List(
   324         Constant("_tuple"),
   325         Variable("x"),
   326         Appl(List(
   327           Constant("_tuple_arg"),
   328           Appl(List(
   329             Constant("_tuple"),
   330             Variable("y"),
   331             Variable("z"))))))) 
   332     var ast_pat = (ML4_2old_ast, ML4_2lhs)
   333     // println("matches(ast_pat): " + matches(ast_pat))
   334     // matches(ast_pat): Some((Map(x -> Variable(bbb), y -> Variable(ccc), z -> Appl(List(Constant(_tuple_arg), Variable(ddd)))),List()))
   335     assertTrue((!(matches(ast_pat)).isEmpty))
   336     
   337     val scala4_2old_ast = //AFTER rewrite 3, NO rule 1, from ###post.scala:
   338       Appl(List(
   339         Constant("_tuple"),
   340         Variable("aaa"),
   341         Appl(List(
   342           Constant("_tuple_arg"),   //<---vv pattern from ###ML 4. rule 2 NOT RECOGNISED
   343           Appl(List(
   344             Constant("_tuple"),     //<---^^ pattern from ###ML 4. rule 2 NOT RECOGNISED
   345             Variable("bbb"),
   346             Appl(List(
   347               Constant("_tuple_arg"),     //<---vv pattern from ###ML 4. rule 2 NOT RECOGNISED
   348               Appl(List(
   349                 Constant("_tuple"),       //<---^^ pattern from ###ML 4. rule 2 NOT RECOGNISED
   350                 Variable("ccc"),
   351                 Appl(List(
   352                   Constant("_tuple_arg"),
   353                   Variable("ddd")))))))))))))
   354     ast_pat = (scala4_2old_ast, ML4_2lhs)
   355     // println("matches(ast_pat): " + matches(ast_pat))
   356     // matches(ast_pat): Some((Map(x -> Variable(aaa), y -> Variable(bbb), z -> Appl(List(Constant(_tuple_arg), Appl(List(Constant(_tuple), Variable(ccc), Appl(List(Constant(_tuple_arg), Variable(ddd)))))))),List()))
   357     assertTrue((!(matches(ast_pat)).isEmpty))
   358 
   359     println("\\--END isac.gui.mawen.asttrans.TestAst#test_matches");
   360   }
   361   
   362       
   363   def test_update() {
   364     println("/--BEGIN isac.gui.mawen.asttrans.TestAst#test_update");
   365 
   366     val ast =
   367     /*List()*/    Appl(List(
   368     /*List(1)*/     Constant("Groups.plus_class.plus"),
   369     /*List(2)*/     Appl(List(
   370     /*List(2,1)*/     Constant("Groups.plus_class.plus"),
   371     /*List(2,2)*/     Variable("a"),
   372     /*List(2,3)*/     Appl(List(
   373     /*List(2,3,1)*/     Constant("Groups.plus_class.plus"),
   374     /*List(2,3,2)*/     Variable("b"),
   375     /*List(2,3,3)*/     Variable("c"))) )),
   376     /*List(3)*/     Variable("d")))
   377             
   378     assertEquals("a + (b + c) + d", math_string_of(ast))
   379     assertEquals("X  + d", math_string_of(add(List(2), Constant("X"), ast)))
   380     assertEquals("X  + (b + c) + d", math_string_of(add(List(2,2), Constant("X"), ast)))
   381     assertEquals("a + (X  + c) + d", math_string_of(add(List(2,3,2), Constant("X"), ast)))
   382     assertEquals("a + (b + X ) + d", math_string_of(add(List(2,3,3), Constant("X"), ast)))
   383     assertEquals("a + (b + c) + X ", math_string_of(add(List(3), Constant("X"), ast)))
   384     
   385     assertEquals("X + Y + d", math_string_of(add(List(2),
   386         Appl(List(
   387          Constant("Groups.plus_class.plus"),
   388          Variable("X"),
   389          Variable("Y"))), ast)))
   390     
   391     println("\\--END isac.gui.mawen.asttrans.TestAst#test_update");
   392   }
   393 
   394   def test_get_value() {
   395     println("/--BEGIN isac.gui.mawen.asttrans.TestAst#test_get_value");
   396     
   397     val ast =
   398     /*List()*/    Appl(List(
   399     /*List(1)*/     Constant("Groups.plus_class.plus"),
   400     /*List(2)*/     Appl(List(
   401     /*List(2,1)*/     Constant("Groups.plus_class.plus"),
   402     /*List(2,2)*/     Variable("a"),
   403     /*List(2,3)*/     Appl(List(
   404     /*List(2,3,1)*/     Constant("Groups.plus_class.plus"),
   405     /*List(2,3,2)*/     Variable("b"),
   406     /*List(2,3,3)*/     Variable("c"))) )),
   407     /*List(3)*/     Variable("d")))
   408     assertEquals("a + (b + c) + d", math_string_of(get_value (List(), ast)))
   409     assertEquals("a", math_string_of(get_value (List(2,2), ast)))
   410     assertEquals("b + c", math_string_of(get_value (List(2,3), ast)))
   411     assertEquals("b", math_string_of(get_value (List(2,3,2), ast)))
   412     
   413     println("\\--END isac.gui.mawen.asttrans.TestAst#test_get_value");
   414   }
   415 
   416   def test_math_string_of_arbitrary() {
   417     println("/--BEGIN isac.gui.mawen.asttrans.TestAst#test_math_string_of_arbitrary");
   418     
   419     val arbitrary = Appl(List(Variable("a"), Constant("b"),
   420       Appl(List(Constant("Groups.plus_class.plus"), Variable("c"),Variable("d"))),
   421       Appl(List(Variable("y"),Variable("x"))) ))
   422     assertEquals("a b  (c + d) (y (x))", math_string_of(arbitrary))
   423     
   424     println("\\--END isac.gui.mawen.asttrans.TestAst#test_math_string_of_arbitrary");
   425   }
   426 }