Sunday, March 20, 2016

PrgCalcPro: Fibonacci Number

PrgCalcPro: Fibonacci Number 

F_n = F_n-1 + F_n-2 via formula ((1+√5)^n) - (1-√5)^n)/(2^n * √5)

Sequence where F0 = 0, F1= 1, F2 = 2, etc.  

Note:  PrgCalcPro, like the MK-61 calculator, has the power function x^y.  That is, x has the base and y is the exponent.   On the ProCalcPro, then the power function is executed, the exponent remains on the y stack and not "consumed".  

Example:
Y: 5
X: 2

Executing x^y leaves 
Y: 5
X: 32 (2^5)


Program:

0: 40  ;  M0
   1: 01  ;  1
   2: 0E  ;  ^ // E^
   3: 05  ;  5
   4: 21  ;  sqr // √ 
   5: 10  ;  +
   6: 24  ;  X^Y
   7: 14  ;  XY // swap
   8: 01  ;  1
   9: 0E  ;  ^ // E^
  10: 05  ;  5
  11: 21  ;  sqr // √ 
  12: 11  ;  -
  13: 24  ;  X^Y
  14: 14  ;  XY // swap
  15: 25  ;  REV // roll down
  16: 11  ;  -
  17: 60  ;  R0
  18: 02  ;  2
  19: 24  ;  X^Y
  20: 14  ;  XY // swap
  21: 25  ;  REV // roll down
  22: 05  ;  5
  23: 21  ;  sqr // √ 
  24: 12  ;  *
  25: 13  ;  /
  26: 50  ;  STOP


This blog is property of Edward Shore,  2016. 

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