PrgCalcPro: Summation
Summation
This program uses a loop to determine Σ f(X) from a to b. The function f(X) starts on Line 22. Use Memory Register a as X and finish the function with RET. The sum is stored in Memory 0.
The listing here uses f(X) = X^2 + 1.
To run: enter a, press [ E up-arrow ], b, [RET], [RUN]
0: 4B ; MB
1: 14 ; XY // X<>Y
2: 4A ; MA
3: 00 ; 0 // clear memory 0
4: 40 ; M0
5: 53 ; SUB // determine f(X), loop starts here
6: 22
7: 60 ; R0
8: 10 ; +
9: 40 ; M0
10: 6A ; RA // add 1 to a, prepare for next loop
11: 01 ; 1
12: 10 ; +
13: 4A ; MA
14: 6B ; RB
15: 11 ; -
16: 01 ; 1
17: 11 ; -
18: 59 ; X>=0 // is a - (b+1) ≥ 0?
19: 05 // if not repeat the loop
20: 60 ; R0
21: 50 ; STOP // terminate
22: 6A ; RA // this is where f(X) starts
23: 22 ; X^2
24: 01 ; 1
25: 10 ; +
26: 52 ; RET // don't forget to include RET at the end
Example:
Σ x^2 + 1 from x=0 to x=5. Result: 61.
This blog is property of Edward Shore, 2016.
