SECTION 94 in Java

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SECTION 94
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OP; v a l ue ; *symbol ; *left; aright;
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operation code */ /* value i f number */
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/a /a
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/a eval: version 1 evaluate t r e e expression */ : in t eval (Tree *t)
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i n t l e f t , right; switch (t->op) { case NUMBER: r e t u r n t->val ue; case VARIABLE: r e t u r n t->symbol ->val ue ; case ADD: r e t u r n eval ( t - > l e f t ) + eval ( t - > r i g h t ) ; case DIVIDE: 1e f t = eval ( t - > l e f t ) ; r i g h t = eval (t- >right) ; i f ( r i g h t == 0) e p r i n t f ( " d i v i de %d by zero", 1e f t ) ; return l e f t / right; case MAX: 1e f t = eval ( t - > l e f t ) ; r i g h t = eval ( t - > r i g h t ) ; return l e f b r i g h t l e f t : right; case ASSIGN: t->left- >symbol ->value = eval ( t - > r i g h t ) ; r e t u r n t->left->symbol- >value;
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The first few cases evaluate simple expressions like constants and values; later ones evaluate arithmetic expressions, and others might do special processing, conditionals, and loops To implement control structures, the tree will need extra information, not shown here, that represents the control flow As in pack and unpack, we can replace the explicit switch with a table of function pointers Individual operators are much the same as in the switch statement:
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/a addop: r e t u r n sum o f two t r e e expressions */ i n t addop(Tree a t )
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r e t u r n eval ( t - > l e f t )
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eval ( t - > r i g h t ) ;
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The table of function pointers relates operators to the functions that perform the operations:
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enum { /* operation codes, Treeop NUMBER, VARIABLE, ADD, DIVIDE,
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/* optab: operator f u n c t i o n t a b l e i n t (*optabCl) (Tree a) = { pushop, /* NUMBER */ pushsymop, /* VARIABLE a/ addop /* ADD +/ /ir D I V I D E n/ d i vop
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/* */
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Evaluation uses the operator to index into the table of function pointers to call the right functions; this version will invoke other functions recursively
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/* eval : version 2 : evaluate t r e e from operator tab1 e */
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i t eval (Tree *t) n
r e t u r n (*optab[t->op])
(t) ;
Both these versions of eval are recursive There are ways of eliminating recursion, including a clever technique called threaded code that flattens the call stack completely The neatest method is to do away with the recursion altogether by storing the functions in an array that is then traversed sequentially to execute the program This array becomes a sequence of instructions to be executed by a little specialpurpose machine We still need a stack to represent the partially evaluated values in the computation, so the form of the functions changes, but the transformation is easy to see In effect, we invent a stack machine in which the instructions are tiny functions and the operands are stored on a separate operand stack It's not a real machine but we can program it as if it were, and we can implement it easily as an interpreter Instead of walking the tree to evaluate it, we walk it to generate the array of functions to execute the program The array will also contain data values that the instructions use, such as constants and variables (symbols), so the type of the elements of the array should be a union:
typedef union Code Code; union Code { void (*op)(void); in t v a l ue ; Symbol *symbol ;