CS 2213, Spring 2005
Test input data for the translation program with its output
piped into the evaluation program.  These are actual runs of my
program written for this recitation.  (The high-precision values
accurate to 30 decimal places are given for reference.)

1+1/(2+1/(2+1/(2+1/(2+1/(2+1/(2+1/(2+1/(2+1/(2+1/(2+1
/(2+1/(2+1/(2+1/(2+1/(2+1/(2+1/(2+1/(2+1/(2+1/(2
))))))))))))))))))))$

Result is:      1.4142135623730949
(Note:sqrt(2) = 1.414213562373095048801688724209...)

2+1/(1+1/(2+1/(1+1/(1+1/(4+1/(1+1/(1+1/(6+1/(1+1/(1+1
/(8+1/(1+1/(1+1/(2*5+1/(1+1/(1+1/(2*6+1/(1+1/(1+1/(2*
7+1  ))))))))))))))))))))$

Result is: 2.7182818284590455
(Note:e =  2.718281828459045235260287471352...)

3+1/(7+1/(5*3+1/(1+1/((4*(9*8+1))+1/(1+1/(1+1/(1+1/(2+1/(1+1
/(3+1/(1+1/(2*7+1/(2+1) ))))))))))))$

Result is: 3.1415926535897931
(Note:pi = 3.141592653589793238462643383279...)

1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1
/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1
/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(1+1
)))))))))))))))))))))))))))))))))))$

Result is:	1.6180339887498940
(Note: f =	1.618033988749894848204586834365 ...

4/(1+1/( 3     +( 2   * 2)/
       ( 5     +( 3   * 3)/
       ( 7     +( 4   * 4)/
       ( 9     +( 5   * 5)/
       ((9+2)  +( 6   * 6)/
       ((9+4)  +( 7   * 7)/
       ((9+6)  +( 8   * 8)/
       ((9+8)  +( 9   * 9)/
       ((6*3+1)+((9+1)*(9+1))/
       ((6*3+3)+((9+2)*(9+2))/
       ((6*3+5)+((9+3)*(9+3))/
       ((6*3+7)+((9+4)*(9+4))/
       ((6*3+9)+((9+5)*(9+5))/
       ((9*3+2)+((9+6)*(9+6))/
       ((9*3+4)+((9+7)*(9+7))/
       ((9*3+6)+((9+8)*(9+8))/
       ((9*3+8)+((9+9)*(9+9))/
       ((7*5+2)+((6*3+1)*(6*3+1))/
       ((7*5+4)+((6*3+2)*(6*3+2))/
       ((7*5+6)+((6*3+3)*(6*3+3))/
       ((7*5+8)+((6*3+4)*(6*3+4))  ) )  )))))  )))))  ))))) )))))$

Output translation to RPN:
411322*533*744*955*92+66*94+77*96+88*98+99*63*1+91+91+*63*3+92+92+*63*5+93+93+*63*7+94+94+*63*9+95+95+*93*2+96+96+*93*4+97+97+*93*6+98+98+*93*8+99+99+*75*2+63*1+63*1+*75*4+63*2+63*2+*75*6+63*3+63*3+*75*8+63*4+63*4+*+/+/+/+/+/+/+/+/+/+/+/+/+/+/+/+/+/+/+/+/+/+/$
Result is: 3.1415926535897936
(Note:pi = 3.141592653589793238462643383279...)