Using PLY, write an interpreter for the language of "LISP expressions". A LISP expression is defined as follows: A number (integer as well as fractional) is a LISP expression. if E1 and E2 are LISP expressions then so are (+ E1 E2), (- E1 E2), (* E1 E2), and (/ E1 E2). if L is a LIST expression (defined below) then (car L) is a LISP expression. if B is a BOOLEAN expression and E1 and E2 are LISP expressions then (if B E1 E2) is a LISP expression. A LIST Expression is defined as follows: if E1, E2, ..., En are LISP expressions where n>=0 then (E1 E2 ... En) is a LIST expression. if L is a LIST expression then (cdr L) is a LIST expression. if E is a LISP expression and L is a LIST expression then (cons E L) is a LIST expression. A BOOLEAN expression is defined as follows: True and False are BOOLEAN expressions. if E1 and E2 are LISP expressions then (> E1 E2), (>= E1 E2), (< E1 E2), (<= E1 E2), (= E1 E2), and (<> E1 E2) are BOOLEAN expressions. if B1 and B2 are BOOLEAN expressions then so are (not B1), (and B1 B2), and (or B1 B2). Here are examples of valid LISP expressions:34 True (20 30 40) (+ 20 30) (* (+ 1 2) (/ 8 4)) (* (car (2 4 (+ 2 4) 8)) (/ 27 9)) (+ (car (2 3 4)) (car (cdr (cdr (9 8 7 6))))) (if (> 2 3) 40 50) (and (> 2 3) (> 3 2)) (cdr (cons (+ 2 3) (4 5 6))) Here is a sample run:Mac-mini:hw1 raj$ python3 LISP.py LISP: 34; 34.0 LISP: (+ 20 30); 50.0 LISP: (/ 9 (- 2 2)); DIVIDE BY ZERO! LISP: (* (+ 1 2) (/ 8 4)); 6.0 LISP: (* (car (2 4 (+ 2 4) 8)) (/ 27 9)); 6.0 LISP: (+ (car (2 3 4)) (car (cdr (cdr (9 8 7 6))))); 9.0 LISP: (+ 2 3 4); Syntax error in input! LISP: (* (car 4) 22); Syntax error in input! LISP: (+ 3 (car (cdr (cdr (cdr (1 2)))))); Cannot CDR on an empty list! LISP: (if (> 2 3) 40 50); 50.0 LISP: (or (> 2 3) (> 3 2)); True LISP: (and (> 2 3) (> 3 2)); False LISP: (cdr (1 2 3 4)); (2.0 3.0 4.0) LISP: (cdr (cons (+ 2 3) (4 5 6))); (4.0 5.0 6.0) LISP: (cdr (cdr (1 2 3 4))); (3.0 4.0) LISP: (cdr (cdr (3 4))); () LISP: (cdr (cdr (3))); Cannot CDR on an empty list! LISP: (car (cdr (1 2 3 4))); 2.0 LISP: exit; Mac-mini:hw1 raj$ WHAT TO SUBMIT? LISP.py, LISPLexer.py, LISPParser.py. If you chose to implement the expression tree using LISPNode, then you must submit LISPNode.py as well.

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Using PLY, write an interpreter for the language of "LISP expressions".

A LISP expression is defined as follows:

  1. A number (integer as well as fractional) is a LISP expression.
  2. if E1 and E2 are LISP expressions then so are (+ E1 E2), (- E1 E2), (* E1 E2), and (/ E1 E2).
  3. if L is a LIST expression (defined below) then (car L) is a LISP expression.
  4. if B is a BOOLEAN expression and E1 and E2 are LISP expressions then (if B E1 E2) is a LISP expression.

A LIST Expression is defined as follows:

  1. if E1, E2, ..., En are LISP expressions where n>=0 then (E1 E2 ... En) is a LIST expression.
  2. if L is a LIST expression then (cdr L) is a LIST expression.
  3. if E is a LISP expression and L is a LIST expression then (cons E L) is a LIST expression.

A BOOLEAN expression is defined as follows:

  1. True and False are BOOLEAN expressions.
  2. if E1 and E2 are LISP expressions then (> E1 E2), (>= E1 E2), (< E1 E2), (<= E1 E2), (= E1 E2), and (<> E1 E2) are BOOLEAN expressions.
  3. if B1 and B2 are BOOLEAN expressions then so are (not B1), (and B1 B2), and (or B1 B2).

Here are examples of valid LISP expressions:34 True (20 30 40) (+ 20 30) (* (+ 1 2) (/ 8 4)) (* (car (2 4 (+ 2 4) 8)) (/ 27 9)) (+ (car (2 3 4)) (car (cdr (cdr (9 8 7 6))))) (if (> 2 3) 40 50) (and (> 2 3) (> 3 2)) (cdr (cons (+ 2 3) (4 5 6))) Here is a sample run:Mac-mini:hw1 raj$ python3 LISP.py LISP: 34; 34.0 LISP: (+ 20 30); 50.0 LISP: (/ 9 (- 2 2)); DIVIDE BY ZERO! LISP: (* (+ 1 2) (/ 8 4)); 6.0 LISP: (* (car (2 4 (+ 2 4) 8)) (/ 27 9)); 6.0 LISP: (+ (car (2 3 4)) (car (cdr (cdr (9 8 7 6))))); 9.0 LISP: (+ 2 3 4); Syntax error in input! LISP: (* (car 4) 22); Syntax error in input! LISP: (+ 3 (car (cdr (cdr (cdr (1 2)))))); Cannot CDR on an empty list! LISP: (if (> 2 3) 40 50); 50.0 LISP: (or (> 2 3) (> 3 2)); True LISP: (and (> 2 3) (> 3 2)); False LISP: (cdr (1 2 3 4)); (2.0 3.0 4.0) LISP: (cdr (cons (+ 2 3) (4 5 6))); (4.0 5.0 6.0) LISP: (cdr (cdr (1 2 3 4))); (3.0 4.0) LISP: (cdr (cdr (3 4))); () LISP: (cdr (cdr (3))); Cannot CDR on an empty list! LISP: (car (cdr (1 2 3 4))); 2.0 LISP: exit; Mac-mini:hw1 raj$

WHAT TO SUBMIT?

LISP.py, LISPLexer.py, LISPParser.py. If you chose to implement the expression tree using LISPNode, then you must submit LISPNode.py as well.

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