Compiler/AST interpreter: Difference between revisions

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--main(command_line())
--main(command_line())
main({0,0,"primes.c"})
main({0,0,"primes.c"})</lang>
</lang>
{{out}}
{{out}}
<pre>
<pre>

Revision as of 19:14, 15 November 2016

Compiler/AST interpreter is a draft programming task. It is not yet considered ready to be promoted as a complete task, for reasons that should be found in its talk page.

An AST interpreter interprets an Abstract Syntax Tree (AST) produced by a Syntax Analyzer.

Take the AST output from the Syntax analyzer task, and interpret it as appropriate. Refer to the Syntax analyzer task for details of the AST.

Loading the AST from the syntax analyzer is as simple as (pseudo code)

<lang python>def load_ast()

   line = readline()
   # Each line has at least one token
   line_list = tokenize the line, respecting double quotes
   text = line_list[0] # first token is always the node type
   if text == ";"   # a terminal node
       return NULL
   node_type = text # could convert to internal form if desired
   # A line with two tokens is a leaf node
   # Leaf nodes are: Identifier, Integer, String
   # The 2nd token is the value
   if len(line_list) > 1
       return make_leaf(node_type, line_list[1])
   left = load_ast()
   right = load_ast()
   return make_node(node_type, left, right)</lang>
The interpreter algorithm is relatively simple

<lang python>interp(x)

   if x == NULL return NULL
   elif x.node_type == Integer return x.value converted to an integer
   elif x.node_type == Ident   return the current value of variable x.value
   elif x.node_type == String  return x.value
   elif x.node_type == Assign
                   globals[x.left.value] = interp(x.right)
                   return NULL
   elif x.node_type is a binary operator return interp(x.left) operator interp(x.right)
   elif x.node_type is a unary operator, return return operator interp(x.left)
   elif x.node_type ==  If
                   if (interp(x.left)) then interp(x.right.left)
                   else interp(x.right.right)
                   return NULL
   elif x.node_type == While
                   while (interp(x.left)) do interp(x.right)
                   return NULL
   elif x.node_type == Prtc
                   print interp(x.left) as a character, no newline
                   return NULL
   elif x.node_type == Prti
                   print interp(x.left) as an integer, no newline
                   return NULL
   elif x.node_type == Prts
                   print interp(x.left) as a string, respecting newlines ("\n")
                   return NULL
   elif x.node_type == Sequence
                   interp(x.left)
                   interp(x.right)
                   return NULL
   else
       error("unknown node type")</lang>

Notes:

Because of the simple nature of our tiny language, Semantic analysis is not needed.

Your interpreter should use C like division semantics, for both division and modulus. For division of positive operands, only the non-fractional portion of the result should be returned. In other words, the result should be truncated towards 0.

This means, for instance, that 3 / 2 should result in 1.

For division when one of the operands is negative, the result should be truncated towards 0.

This means, for instance, that 3 / -2 should result in -1.

Test program
prime.t parse | interp

<lang c>/*

Simple prime number generator
*/

count = 1; n = 1; limit = 100; while (n < limit) {

   k=3;
   p=1;
   n=n+2;
   while ((k*k<=n) && (p)) {
       p=n/k*k!=n;
       k=k+2;
   }
   if (p) {
       print(n, " is prime\n");
       count = count + 1;
   }

} print("Total primes found: ", count, "\n"); </lang>

3 is prime
5 is prime
7 is prime
11 is prime
13 is prime
17 is prime
19 is prime
23 is prime
29 is prime
31 is prime
37 is prime
41 is prime
43 is prime
47 is prime
53 is prime
59 is prime
61 is prime
67 is prime
71 is prime
73 is prime
79 is prime
83 is prime
89 is prime
97 is prime
101 is prime
Total primes found: 26
Additional examples

Your solution should pass all the test cases above and the additional tests found Here.

Reference

The C and Python versions can be considered reference implementations.

Related Tasks

ALGOL W

<lang algolw>begin % AST interpreter %

   % parse tree nodes %
   record node( integer         type
              ; reference(node) left, right
              ; integer         iValue % nString/nIndentifier number or nInteger value %
              );
   integer     nIdentifier, nString, nInteger, nSequence, nIf,   nPrtc, nPrts
         ,     nPrti,       nWhile,  nAssign,  nNegate,   nNot,  nMultiply
         ,     nDivide,     nMod,    nAdd,     nSubtract, nLess, nLessEqual
         ,     nGreater,    nGreaterEqual,     nEqual,    nNotEqual,    nAnd, nOr
         ;
   string(14) array ndName ( 1 :: 25 );
   integer    MAX_NODE_TYPE;
   % string literals and identifiers - uses a linked list - a hash table might be better... %
   string(1)   array text ( 0 :: 4095 );
   integer     textNext, TEXT_MAX;
   record textElement ( integer start, length; reference(textElement) next );
   reference(textElement) idList, stList;
   % memory - identifiers hold indexes to locations here %
   integer array data ( 1 :: 4096 );
   % returns a new node with left and right branches %
   reference(node) procedure opNode ( integer value opType; reference(node) value opLeft, opRight ) ; begin
       node( opType, opLeft, opRight, 0 )
   end opNode ;
   % returns a new operand node %
   reference(node) procedure operandNode ( integer value opType, opValue ) ; begin
       node( opType, null, null, opValue )
   end operandNode ;
   % reports an error and stops %
   procedure rtError( string(80) value message ); begin
       integer errorPos;
       write( s_w := 0, "**** Runtime error " );
       errorPos := 0;
       while errorPos < 80 and message( errorPos // 1 ) not = "." do begin
           writeon( s_w := 0, message( errorPos // 1 ) );
           errorPos := errorPos + 1
       end while_not_at_end_of_message ;
       writeon( s_w := 0, "." );
       assert( false )
   end rtError ;
   % reads a node from standard input %
   reference(node) procedure readNode ; begin
       reference(node) resultNode;
       % parses a string from line and stores it in a string in the text array %
       % - if it is not already present in the specified textElement list.     %
       % returns the position of the string in the text array                  %
       integer procedure readString ( reference(textElement) value result txList; string(1) value terminator ) ; begin
           string(256) str;
           integer     sLen, sPos, ePos;
           logical     found;
           reference(textElement) txPos, txLastPos;
           % get the text of the string %
           str  := " ";
           sLen := 0;
           str( sLen // 1 ) := line( lPos // 1 );
           sLen := sLen + 1;
           lPos := lPos + 1;
           while lPos <= 255 and line( lPos // 1 ) not = terminator do begin
               str( sLen // 1 ) := line( lPos // 1 );
               sLen := sLen + 1;
               lPos := lPos + 1
           end while_more_string ;
           if lPos > 255 then rtError( "Unterminated String in node file." );
           % attempt to find the text in the list of strings/identifiers %
           txLastPos := txPos := txList;
           found := false;
           ePos := 0;
           while not found and txPos not = null do begin
               ePos  := ePos + 1;
               found := ( length(txPos) = sLen );
               sPos  := 0;
               while found and sPos < sLen do begin
                   found := str( sPos // 1 ) = text( start(txPos) + sPos );
                   sPos  := sPos + 1
               end while_not_found ;
               txLastPos := txPos;
               if not found then txPos := next(txPos)
           end while_string_not_found ;
           if not found then begin
               % the string/identifier is not in the list - add it %
               ePos := ePos + 1;
               if txList = null then txList := textElement( textNext, sLen, null )
                                else next(txLastPos) := textElement( textNext, sLen, null );
               if textNext + sLen > TEXT_MAX then rtError( "Text space exhausted." )
               else begin
                   for cPos := 0 until sLen - 1 do begin
                       text( textNext ) := str( cPos // 1 );
                       textNext := textNext + 1
                   end for_cPos
               end
           end if_not_found ;
           ePos
       end readString ;
       % gets an integer from the line - no checks for valid digits %
       integer procedure readInteger ; begin
           integer n;
           n := 0;
           while line( lPos // 1 ) not = " " do begin
               n    := ( n * 10 ) + ( decode( line( lPos // 1 ) ) - decode( "0" ) );
               lPos := lPos + 1
           end while_not_end_of_integer ;
           n
       end readInteger ;
       string(256) line;
       string(16)  name;
       integer     lPos, tPos, ndType;
       tPos := lPos := 0;
       readcard( line );
       % get the node type name %
       while line( lPos // 1 ) = " " do lPos := lPos + 1;
       name := "";
       while lPos < 256 and line( lPos // 1 ) not = " " do begin
           name( tPos // 1 ) := line( lPos // 1 );
           lPos := lPos + 1;
           tPos := tPos + 1
       end  while_more_name ;
       % determine the node type %
       ndType         := 1;
       resultNode     := null;
       if name not = ";" then begin
           % not a null node %
           while ndType <= MAX_NODE_TYPE and name not = ndName( ndType ) do ndType := ndType + 1;
           if ndType > MAX_NODE_TYPE then rtError( "Malformed node." );
           % handle the additional parameter for identifier/string/integer, or sub-nodes for operator nodes %
           if ndType = nInteger or ndType = nIdentifier or ndType = nString then begin
               while line( lPos // 1 ) = " " do lPos := lPos + 1;
               if      ndType = nInteger    then resultNode := operandNode( ndType, readInteger )
               else if ndType = nIdentifier then resultNode := operandNode( ndType, readString( idList, " "  ) )
               else  % ndType = nString     %    resultNode := operandNode( ndType, readString( stList, """" ) )
               end
           else begin
               % operator node %
               reference(node) leftNode;
               leftNode   := readNode;
               resultNode := opNode( ndType, leftNode, readNode )
           end
       end if_non_null_node ;
       resultNode
   end readNode ;
   % interprets the specified node and returns the value %
   integer procedure eval ( reference(node) value n ) ; begin
       integer v;
       % prints a string from text, escape sequences are interpreted %
       procedure writeOnText( reference(textElement) value txHead; integer value txNumber ) ;
       begin
           reference(textElement) txPos;
           integer                count;
           txPos := txHead;
           count := 1;
           while count < txNumber and txPos not = null do begin
               txPos := next(txPos);
               count := count + 1
           end while_text_element_not_found ;
           if txPos = null then rtError( "INTERNAL ERROR: text not found." )
           else begin
               % found the text - output it, handling escape sequences %
               integer cPos;
               cPos := 1; % start from 1 to skip over the leading " %
               while cPos < length(txPos) do begin
                   string(1) ch;
                   ch := text( start(txPos) + cPos );
                   if ch not = "\" then writeon( s_w := 0, ch )
                   else begin
                       % escaped character %
                       cPos := cPos + 1;
                       if      cPos > length(txPos) then rtError( "String terminates with ""\""." )
                       else begin
                           ch := text( start(txPos) + cPos );
                           if ch = "n" then % newline % write()
                                       else writeon( s_w := 0, ch )
                       end
                   end;
                   cPos := cPos + 1
               end while_not_end_of_string
           end
       end writeOnText ;
       % returns 1 if val is true, 0 otherwise %
       integer procedure booleanResult ( logical value val ) ; begin
           if val then 1 else 0
       end booleanResult ;
       v := 0;
       if      n = null                 then v := 0
       else if type(n) = nIdentifier    then v := data( iValue(n) )
       else if type(n) = nString        then v := iValue(n)
       else if type(n) = nInteger       then v := iValue(n)
       else if type(n) = nSequence      then begin
           % sequence - evaluate and discard the left branch and return the right branch %
           v := eval(  left(n) );
           v := eval( right(n) )
           end
       else if type(n) = nIf            then % if-else         % begin
           if eval( left(n) ) not = 0 then v := eval(  left(right(n)) )
                                      else v := eval( right(right(n)) );
           v := 0
           end
       else if type(n) = nPrtc          then % print character % writeon( s_w := 0, code( eval( left(n) ) ) )
       else if type(n) = nPrts          then % print string    % writeOnText( stList, eval( left(n) ) )
       else if type(n) = nPrti          then % print integer   % writeon( s_w := 0, i_w := 1, eval( left(n) ) )
       else if type(n) = nWhile         then % while-loop      % begin
           while eval( left(n) ) not = 0 do v := eval( right(n) );
           v := 0
           end
       else if type(n) = nAssign        then % assignment      % data( iValue(left(n)) ) := eval( right(n) )
       else if type(n) = nNegate        then % unary -         % v := - eval( left(n) )
       else if type(n) = nNot           then % unary not       % v := booleanResult( eval( left(n) ) = 0 )
       else if type(n) = nMultiply      then % multiply        % v := eval( left(n) ) * eval( right(n) )
       else if type(n) = nDivide        then % division        % begin
           integer lv, rv;
           lv := eval(  left(n) );
           rv := eval( right(n) );
           if rv = 0 then rtError( "Division by 0." )
           else v := lv div rv
           end
       else if type(n) = nMod           then % modulo          % begin
           integer lv, rv;
           lv := eval(  left(n) );
           rv := eval( right(n) );
           if rv = 0 then rtError( "Right operand of % is 0." )
           else v := lv rem rv
           end
       else if type(n) = nAdd           then % addition        % v := eval( left(n) ) + eval( right(n) )
       else if type(n) = nSubtract      then % subtraction     % v := eval( left(n) ) - eval( right(n) )
       else if type(n) = nLess          then % less-than       % v := booleanResult( eval( left(n) ) <     eval( right(n) ) )
       else if type(n) = nLessEqual     then % less or equal   % v := booleanResult( eval( left(n) ) <=    eval( right(n) ) )
       else if type(n) = nGreater       then % greater-than    % v := booleanResult( eval( left(n) ) >     eval( right(n) ) )
       else if type(n) = nGreaterEqual  then % greater or eq   % v := booleanResult( eval( left(n) ) >=    eval( right(n) ) )
       else if type(n) = nEqual         then % test equal      % v := booleanResult( eval( left(n) ) =     eval( right(n) ) )
       else if type(n) = nNotEqual      then % not-equal       % v := booleanResult( eval( left(n) ) not = eval( right(n) ) )
       else if type(n) = nAnd           then % boolean "and"   % begin
           v := eval( left(n) );
           if v not = 0 then v := eval( right(n) )
           end
       else if type(n) = nOr            then % boolean "or"    % begin
           v := eval( left(n) );
           if v = 0 then v := eval( right(n) );
           end
       else % unknown node % begin
           rtError( "Unknown node type in eval." )
       end;
       v
   end eval ;
   nIdentifier      :=  1; ndName( nIdentifier      ) := "Identifier";   nString    :=  2; ndName( nString   ) := "String";
   nInteger         :=  3; ndName( nInteger         ) := "Integer";      nSequence  :=  4; ndName( nSequence ) := "Sequence";
   nIf              :=  5; ndName( nIf              ) := "If";           nPrtc      :=  6; ndName( nPrtc     ) := "Prtc";
   nPrts            :=  7; ndName( nPrts            ) := "Prts";         nPrti      :=  8; ndName( nPrti     ) := "Prti";
   nWhile           :=  9; ndName( nWhile           ) := "While";        nAssign    := 10; ndName( nAssign   ) := "Assign";
   nNegate          := 11; ndName( nNegate          ) := "Negate";       nNot       := 12; ndName( nNot      ) := "Not";
   nMultiply        := 13; ndName( nMultiply        ) := "Multiply";     nDivide    := 14; ndName( nDivide   ) := "Divide";
   nMod             := 15; ndName( nMod             ) := "Mod";          nAdd       := 16; ndName( nAdd      ) := "Add";
   nSubtract        := 17; ndName( nSubtract        ) := "Subtract";     nLess      := 18; ndName( nLess     ) := "Less";
   nLessEqual       := 19; ndName( nLessEqual       ) := "LessEqual"  ;  nGreater   := 20; ndName( nGreater  ) := "Greater";
   nGreaterEqual    := 21; ndName( nGreaterEqual    ) := "GreaterEqual"; nEqual     := 22; ndName( nEqual    ) := "Equal";
   nNotEqual        := 23; ndName( nNotEqual        ) := "NotEqual";     nAnd       := 24; ndName( nAnd      ) := "And";
   nOr              := 25; ndName( nOr              ) := "Or";
   MAX_NODE_TYPE    := 25; TEXT_MAX := 4095; textNext := 0;
   stList := idList := null;
   % parse the output from the syntax analyser and intetrpret parse tree %
   eval( readNode )

end.</lang>

Output:
3 is prime
5 is prime
7 is prime
11 is prime
...
83 is prime
89 is prime
97 is prime
101 is prime
Total primes found: 26

C

Tested with gcc 4.81 and later, compiles warning free with -Wall -Wextra <lang C>#include <stdlib.h>

  1. include <stdio.h>
  2. include <string.h>
  3. include <stdarg.h>
  4. include <ctype.h>
  1. define da_dim(name, type) type *name = NULL; \
                           int _qy_ ## name ## _p = 0;  \
                           int _qy_ ## name ## _max = 0
  1. define da_rewind(name) _qy_ ## name ## _p = 0
  2. define da_redim(name) do {if (_qy_ ## name ## _p >= _qy_ ## name ## _max) \
                               name = realloc(name, (_qy_ ## name ## _max += 32) * sizeof(name[0]));} while (0)
  1. define da_append(name, x) do {da_redim(name); name[_qy_ ## name ## _p++] = x;} while (0)
  2. define da_len(name) _qy_ ## name ## _p
  3. define da_add(name) do {da_redim(name); _qy_ ## name ## _p++;} while (0)

typedef enum {

   nd_Ident, nd_String, nd_Integer, nd_Sequence, nd_If, nd_Prtc, nd_Prts, nd_Prti, nd_While,
   nd_Assign, nd_Negate, nd_Not, nd_Mul, nd_Div, nd_Mod, nd_Add, nd_Sub, nd_Lss, nd_Leq,
   nd_Gtr, nd_Geq, nd_Eql, nd_Neq, nd_And, nd_Or

} NodeType;

typedef struct Tree Tree; struct Tree {

   NodeType node_type;
   Tree *left;
   Tree *right;
   int value;

};

// dependency: Ordered by NodeType, must remain in same order as NodeType enum

struct {

   char       *enum_text;
   NodeType   node_type;

} atr[] = {

   {"Identifier"  , nd_Ident,  },  {"String"      , nd_String,  },
   {"Integer"     , nd_Integer,},  {"Sequence"    , nd_Sequence,},
   {"If"          , nd_If,     },  {"Prtc"        , nd_Prtc,    },
   {"Prts"        , nd_Prts,   },  {"Prti"        , nd_Prti,    },
   {"While"       , nd_While,  },  {"Assign"      , nd_Assign,  },
   {"Negate"      , nd_Negate, },  {"Not"         , nd_Not,     },
   {"Multiply"    , nd_Mul,    },  {"Divide"      , nd_Div,     },
   {"Mod"         , nd_Mod,    },  {"Add"         , nd_Add,     },
   {"Subtract"    , nd_Sub,    },  {"Less"        , nd_Lss,     },
   {"LessEqual"   , nd_Leq,    },  {"Greater"     , nd_Gtr,     },
   {"GreaterEqual", nd_Geq,    },  {"Equal"       , nd_Eql,     },
   {"NotEqual"    , nd_Neq,    },  {"And"         , nd_And,     },
   {"Or"          , nd_Or,     },

};

FILE *source_fp; da_dim(string_pool, const char *); da_dim(global_names, const char *); da_dim(global_values, int);

void error(const char *fmt, ... ) {

   va_list ap;
   char buf[1000];
   va_start(ap, fmt);
   vsprintf(buf, fmt, ap);
   printf("error: %s\n", buf);
   exit(1);

}

Tree *make_node(NodeType node_type, Tree *left, Tree *right) {

   Tree *t = calloc(sizeof(Tree), 1);
   t->node_type = node_type;
   t->left = left;
   t->right = right;
   return t;

}

Tree *make_leaf(NodeType node_type, int value) {

   Tree *t = calloc(sizeof(Tree), 1);
   t->node_type = node_type;
   t->value = value;
   return t;

}

int interp(Tree *x) { /* interpret the parse tree */

   if (!x) return 0;
   switch(x->node_type) {
       case nd_Integer:  return x->value;
       case nd_Ident:    return global_values[x->value];
       case nd_String:   return x->value;
       case nd_Assign:   return global_values[x->left->value] = interp(x->right);
       case nd_Add:      return interp(x->left) +  interp(x->right);
       case nd_Sub:      return interp(x->left) -  interp(x->right);
       case nd_Mul:      return interp(x->left) *  interp(x->right);
       case nd_Div:      return interp(x->left) /  interp(x->right);
       case nd_Mod:      return interp(x->left) %  interp(x->right);
       case nd_Lss:      return interp(x->left) <  interp(x->right);
       case nd_Gtr:      return interp(x->left) >  interp(x->right);
       case nd_Leq:      return interp(x->left) <= interp(x->right);
       case nd_Eql:      return interp(x->left) == interp(x->right);
       case nd_Neq:      return interp(x->left) != interp(x->right);
       case nd_And:      return interp(x->left) && interp(x->right);
       case nd_Negate:   return -interp(x->left);
       case nd_Not:      return !interp(x->left);
       case nd_If:       if (interp(x->left))
                           interp(x->right->left);
                         else
                           interp(x->right->right);
                         return 0;
       case nd_While:    while (interp(x->left))
                           interp(x->right);
                         return 0;
       case nd_Prtc:     printf("%c", interp(x->left));
                         return 0;
       case nd_Prti:     printf("%d", interp(x->left));
                         return 0;
       case nd_Prts:     printf("%s", string_pool[interp(x->left)]);
                         return 0;
       case nd_Sequence: interp(x->left);
                         interp(x->right);
                         return 0;
       default:          error("interp: unknown tree type %d\n", x->node_type);
   }
   return 0;

}

void init_in(const char fn[]) {

   if (fn[0] == '\0')
       source_fp = stdin;
   else {
       source_fp = fopen(fn, "r");
       if (source_fp == NULL)
           error("Can't open %s\n", fn);
   }

}

NodeType get_enum_value(const char name[]) {

   for (size_t i = 0; i < sizeof(atr) / sizeof(atr[0]); i++) {
       if (strcmp(atr[i].enum_text, name) == 0) {
           return atr[i].node_type;
       }
   }
   error("Unknown token %s\n", name);
   return -1;

}

char *read_line(int *len) {

   static char *text = NULL;
   static int textmax = 0;
   for (*len = 0; ; (*len)++) {
       int ch = fgetc(source_fp);
       if (ch == EOF || ch == '\n') {
           if (*len == 0)
               return NULL;
           break;
       }
       if (*len + 1 >= textmax) {
           textmax = (textmax == 0 ? 128 : textmax * 2);
           text = realloc(text, textmax);
       }
       text[*len] = ch;
   }
   text[*len] = '\0';
   return text;

}

char *rtrim(char *text, int *len) { // remove trailing spaces

   for (; *len > 0 && isspace(text[*len - 1]); --(*len))
       ;
   text[*len] = '\0';
   return text;

}

int fetch_string_offset(char *st) {

   int len = strlen(st);
   st[len - 1] = '\0';
   ++st;
   char *p, *q;
   p = q = st;
   while ((*p++ = *q++) != '\0') {
       if (q[-1] == '\\') {
           if (q[0] == 'n') {
               p[-1] = '\n';
               ++q;
           } else if (q[0] == '\\') {
               ++q;
           }
       }
   }
   for (int i = 0; i < da_len(string_pool); ++i) {
       if (strcmp(st, string_pool[i]) == 0) {
           return i;
       }
   }
   da_add(string_pool);
   int n = da_len(string_pool) - 1;
   string_pool[n] = strdup(st);
   return da_len(string_pool) - 1;

}

int fetch_var_offset(const char *name) {

   for (int i = 0; i < da_len(global_names); ++i) {
       if (strcmp(name, global_names[i]) == 0)
           return i;
   }
   da_add(global_names);
   int n = da_len(global_names) - 1;
   global_names[n] = strdup(name);
   da_append(global_values, 0);
   return n;

}

Tree *load_ast() {

   int len;
   char *yytext = read_line(&len);
   yytext = rtrim(yytext, &len);
   // get first token
   char *tok = strtok(yytext, " ");
   if (tok[0] == ';') {
       return NULL;
   }
   NodeType node_type = get_enum_value(tok);
   // if there is extra data, get it
   char *p = tok + strlen(tok);
   if (p != &yytext[len]) {
       int n;
       for (++p; isspace(*p); ++p)
           ;
       switch (node_type) {
           case nd_Ident:      n = fetch_var_offset(p);    break;
           case nd_Integer:    n = strtol(p, NULL, 0);     break;
           case nd_String:     n = fetch_string_offset(p); break;
           default:            error("Unknown node type: %s\n", p);
       }
       return make_leaf(node_type, n);
   }
   Tree *left  = load_ast();
   Tree *right = load_ast();
   return make_node(node_type, left, right);

}

int main(int argc, char *argv[]) {

   init_in(argc > 1 ? argv[1] : "");
   Tree *x = load_ast();
   interp(x);
   return 0;

}</lang>

Output  —  prime numbers output from AST interpreter:

lex prime.t | parse | interp
3 is prime
5 is prime
7 is prime
11 is prime
13 is prime
17 is prime
19 is prime
23 is prime
29 is prime
31 is prime
37 is prime
41 is prime
43 is prime
47 is prime
53 is prime
59 is prime
61 is prime
67 is prime
71 is prime
73 is prime
79 is prime
83 is prime
89 is prime
97 is prime
101 is prime
Total primes found: 26

Phix

Reusing parse.e from the Syntax Analyzer task <lang Phix>-- -- demo\rosetta\Compiler\interp.exw -- ================================

include parse.e

sequence vars = {},

        vals = {}

function var_idx(sequence inode)

   if inode[1]!=tk_Identifier then ?9/0 end if
   string ident = inode[2]
   integer n = find(ident,vars)
   if n=0 then
       vars = append(vars,ident)
       vals = append(vals,0)
       n = length(vars)
   end if
   return n

end function

function interp(object t)

   if t!=NULL then
       integer ntype = t[1]
       object t2 = t[2], 
              t3 = iff(length(t)=3?t[3]:0)
       switch ntype do
           case tk_Sequence:       {} = interp(t2) {} = interp(t3)
           case tk_assign:         vals[var_idx(t2)] = interp(t3)
           case tk_Identifier:     return vals[var_idx(t)]
           case tk_Integer:        return t2
           case tk_String:         return t2
           case tk_lt:             return interp(t2) < interp(t3)
           case tk_add:            return interp(t2) + interp(t3)
           case tk_sub:            return interp(t2) - interp(t3)
           case tk_while:          while interp(t2) do {} = interp(t3) end while
           case tk_Prints:         puts(1,interp(t2))
           case tk_Printi:         printf(1,"%d",interp(t2))
           case tk_putc:           printf(1,"%c",interp(t2))
           case tk_and:            return interp(t2) and interp(t3)
           case tk_or:             return interp(t2) or interp(t3)
           case tk_le:             return interp(t2) <= interp(t3)
           case tk_ge:             return interp(t2) >= interp(t3)
           case tk_ne:             return interp(t2) != interp(t3)
           case tk_gt:             return interp(t2) > interp(t3)
           case tk_mul:            return interp(t2) * interp(t3)
           case tk_div:            return trunc(interp(t2)/interp(t3))
           case tk_mod:            return remainder(interp(t2),interp(t3))
           case tk_if:             {} = interp(t3[iff(interp(t2)?2:3)])
           case tk_not:            return not interp(t2)
           case tk_neg:            return - interp(t2)
           else
               error("unknown node type")
       end switch
   end if
   return NULL

end function

procedure main(sequence cl)

   open_files(cl)
   toks = lex()
   object t = parse()
   {} = interp(t)
   close_files()

end procedure

--main(command_line()) main({0,0,"primes.c"})</lang>

Output:
3 is prime
5 is prime
7 is prime
11 is prime
13 is prime
17 is prime
19 is prime
23 is prime
29 is prime
31 is prime
37 is prime
41 is prime
43 is prime
47 is prime
53 is prime
59 is prime
61 is prime
67 is prime
71 is prime
73 is prime
79 is prime
83 is prime
89 is prime
97 is prime
101 is prime
Total primes found: 26

Python

Tested with Python 2.7 and 3.x <lang Python>from __future__ import print_function import sys, shlex, operator

nd_Ident, nd_String, nd_Integer, nd_Sequence, nd_If, nd_Prtc, nd_Prts, nd_Prti, nd_While, \ nd_Assign, nd_Negate, nd_Not, nd_Mul, nd_Div, nd_Mod, nd_Add, nd_Sub, nd_Lss, nd_Leq, \ nd_Gtr, nd_Geq, nd_Eql, nd_Neq, nd_And, nd_Or = range(25)

all_syms = {

   "Identifier"  : nd_Ident,    "String"      : nd_String,
   "Integer"     : nd_Integer,  "Sequence"    : nd_Sequence,
   "If"          : nd_If,       "Prtc"        : nd_Prtc,
   "Prts"        : nd_Prts,     "Prti"        : nd_Prti,
   "While"       : nd_While,    "Assign"      : nd_Assign,
   "Negate"      : nd_Negate,   "Not"         : nd_Not,
   "Multiply"    : nd_Mul,      "Divide"      : nd_Div,
   "Mod"         : nd_Mod,      "Add"         : nd_Add,
   "Subtract"    : nd_Sub,      "Less"        : nd_Lss,
   "LessEqual"   : nd_Leq,      "Greater"     : nd_Gtr,
   "GreaterEqual": nd_Geq,      "Equal"       : nd_Eql,
   "NotEqual"    : nd_Neq,      "And"         : nd_And,
   "Or"          : nd_Or}

input_file = None globals = {}

        • show error and exit

def error(msg):

   print("%s" % (msg))
   exit(1)

class Node:

   def __init__(self, node_type, left = None, right = None, value = None):
       self.node_type  = node_type
       self.left  = left
       self.right = right
       self.value = value

def make_node(oper, left, right = None):

   return Node(oper, left, right)

def make_leaf(oper, n):

   return Node(oper, value = n)

def fetch_var(var_name):

   n = globals.get(var_name, None)
   if n == None:
       globals[var_name] = n = 0
   return n

def interp(x):

   global globals
   if x == None: return None
   elif x.node_type == nd_Integer: return int(x.value)
   elif x.node_type == nd_Ident:   return fetch_var(x.value)
   elif x.node_type == nd_String:  return x.value
   elif x.node_type == nd_Assign:
                   globals[x.left.value] = interp(x.right)
                   return None
   elif x.node_type == nd_Add:     return interp(x.left) +   interp(x.right)
   elif x.node_type == nd_Sub:     return interp(x.left) -   interp(x.right)
   elif x.node_type == nd_Mul:     return interp(x.left) *   interp(x.right)
   # use C like division semantics
   # another way: abs(x) / abs(y) * cmp(x, 0) * cmp(y, 0)
   elif x.node_type == nd_Div:     return int(float(interp(x.left)) / interp(x.right))
   elif x.node_type == nd_Mod:     return int(float(interp(x.left)) % interp(x.right))
   elif x.node_type == nd_Lss:     return interp(x.left) <   interp(x.right)
   elif x.node_type == nd_Gtr:     return interp(x.left) >   interp(x.right)
   elif x.node_type == nd_Leq:     return interp(x.left) <=  interp(x.right)
   elif x.node_type == nd_Geq:     return interp(x.left) >=  interp(x.right)
   elif x.node_type == nd_Eql:     return interp(x.left) ==  interp(x.right)
   elif x.node_type == nd_Neq:     return interp(x.left) !=  interp(x.right)
   elif x.node_type == nd_And:     return interp(x.left) and interp(x.right)
   elif x.node_type == nd_Or:      return interp(x.left) or  interp(x.right)
   elif x.node_type == nd_Negate:  return -interp(x.left)
   elif x.node_type == nd_Not:     return not interp(x.left)
   elif x.node_type ==  nd_If:
                   if (interp(x.left)):
                       interp(x.right.left)
                   else:
                       interp(x.right.right)
                   return None
   elif x.node_type == nd_While:
                   while (interp(x.left)):
                       interp(x.right)
                   return None
   elif x.node_type == nd_Prtc:
                   print("%c" % (interp(x.left)), end=)
                   return None
   elif x.node_type == nd_Prti:
                   print("%d" % (interp(x.left)), end=)
                   return None
   elif x.node_type == nd_Prts:
                   print(interp(x.left), end=)
                   return None
   elif x.node_type == nd_Sequence:
                   interp(x.left)
                   interp(x.right)
                   return None
   else:
       error("error in code generator - found %d, expecting operator" % (x.node_type))

def str_trans(srce):

   dest = ""
   i = 0
   srce = srce[1:-1]
   while i < len(srce):
       if srce[i] == '\\' and i + 1 < len(srce):
           if srce[i + 1] == 'n':
               dest += '\n'
               i += 2
           elif srce[i + 1] == '\\':
               dest += '\\'
               i += 2
       else:
           dest += srce[i]
           i += 1
   return dest

def load_ast():

   line = input_file.readline()
   line_list = shlex.split(line, False, False)
   text = line_list[0]
   value = None
   if len(line_list) > 1:
       value = line_list[1]
       if value.isdigit():
           value = int(value)
   if text == ";":
       return None
   node_type = all_syms[text]
   if value != None:
       if node_type == nd_String:
           value = str_trans(value)
       return make_leaf(node_type, value)
   left = load_ast()
   right = load_ast()
   return make_node(node_type, left, right)
        • main driver

input_file = sys.stdin if len(sys.argv) > 1:

   try:
       input_file = open(sys.argv[1], "r", 4096)
   except IOError as e:
       error(0, 0, "Can't open %s" % sys.argv[1])

n = load_ast() interp(n)</lang>

Output  —  prime numbers output from AST interpreter:

lex prime.t | parse | interp
3 is prime
5 is prime
7 is prime
11 is prime
13 is prime
17 is prime
19 is prime
23 is prime
29 is prime
31 is prime
37 is prime
41 is prime
43 is prime
47 is prime
53 is prime
59 is prime
61 is prime
67 is prime
71 is prime
73 is prime
79 is prime
83 is prime
89 is prime
97 is prime
101 is prime
Total primes found: 26

zkl

<lang zkl>const{ var _n=-1; var[proxy]N=fcn{ _n+=1 }; } // enumerator const FETCH=N, STORE=N, PUSH=N, ADD=N, SUB=N, MUL=N, DIV=N, MOD=N,

     LT=N,    GT=N,    LE=N,   GE=N,   EQ=N,   NE=N, 
     AND=N,   OR=N,    NEG=N,  NOT=N,
     JMP=N,   JZ=N,    PRTC=N, PRTS=N, PRTI=N, HALT=N;

const nd_String=N, nd_Sequence=N, nd_If=N, nd_While=N; var [const]

  all_syms=Dictionary(
     "Identifier"  ,FETCH,       "String"      ,nd_String,
     "Integer"     ,PUSH,        "Sequence"    ,nd_Sequence,
     "If"          ,nd_If,       "Prtc"        ,PRTC,
     "Prts"        ,PRTS,        "Prti"        ,PRTI,
     "While"       ,nd_While,    "Assign"      ,STORE,
     "Negate"      ,NEG,         "Not"         ,NOT,
     "Multiply"    ,MUL,         "Divide"      ,DIV,
     "Mod"         ,MOD,         "Add"         ,ADD,
     "Subtract"    ,SUB,         "Less"        ,LT,
     "LessEqual"   ,LE,          "Greater"     ,GT,
     "GreaterEqual",GE,          "Equal"       ,EQ,
     "NotEqual"    ,NE,          "And"         ,AND,
     "Or"          ,OR,	  "halt"	,HALT),
  bops=Dictionary(ADD,'+, SUB,'-, MUL,'*, DIV,'/, MOD,'%, 

LT,'<, GT,'>, LE,'<=, GE,'>=, NE,'!=, EQ,'==, NE,'!=);

class Node{

  fcn init(_node_type, _value, _left=Void, _right=Void){
     var type=_node_type, left=_left, right=_right, value=_value;
  }

}

fcn runNode(node){

  var vars=Dictionary();  // fcn local static var
  if(Void==node) return();
  switch(node.type){
     case(PUSH,nd_String){ return(node.value) }
     case(FETCH){ return(vars[node.value]) }
     case(STORE){ vars[node.left.value]=runNode(node.right); return(Void); }
     case(nd_If){
        if(runNode(node.left)) runNode(node.right.left);

else runNode(node.right.right);

     }
     case(nd_While)
        { while(runNode(node.left)){ runNode(node.right) } return(Void) }
     case(nd_Sequence){ runNode(node.left); runNode(node.right); return(Void) }
     case(PRTC)       { print(runNode(node.left).toAsc()) }
     case(PRTI,PRTS)  { print(runNode(node.left)) }
     case(NEG)        { return(-runNode(node.left)) }
     case(NOT)        { return(not runNode(node.left)) }
     case(AND)        { return(runNode(node.left) and runNode(node.right)) }
     case(OR)         { return(runNode(node.left) or  runNode(node.right)) }
     else{

if(op:=bops.find(node.type)) return(op(runNode(node.left),runNode(node.right))); else throw(Exception.AssertionError( "Unknown node type: %d".fmt(node.type)))

     } 
  }
  Void

}</lang> <lang zkl>fcn load_ast(file){

  line:=file.readln().strip();		// one or two tokens
  if(line[0]==";") return(Void);
  parts,type,value := line.split(),parts[0],parts[1,*].concat(" ");
  type=all_syms[type];
  if(value){
     try{ value=value.toInt() }catch{}
     if(type==nd_String) value=value[1,-1].replace("\\n","\n");
     return(Node(type,value));
  } 
  left,right := load_ast(file),load_ast(file);
  Node(type,Void,left,right)

}</lang> <lang zkl>ast:=load_ast(File(vm.nthArg(0))); runNode(ast);</lang>

Output:
$ zkl runAST.zkl primeAST.txt 
3 is prime
5 is prime
7 is prime
11 is prime
...
89 is prime
97 is prime
101 is prime
Total primes found: 26