(12C) Modulo (the remainder after division )

01092018, 06:03 AM
(This post was last modified: 01092018 07:04 AM by Gamo.)
Post: #1




(12C) Modulo (the remainder after division )
The modulo operation finds the remainder after division of one number by another.
Example: X ENTER Y R/S 6 MOD 4 = 2 7 MOD 4 = 3 1235 MOD 25 = 10 91596 MOD 123 = 84 456654 MOD 104 = 94 Special one: 98765 MOD 43210 = 12345 Program: Code:
With this small program I do not see Round Off Error yet. Gamo 

01092018, 09:32 AM
(This post was last modified: 01092018 09:45 AM by Dieter.)
Post: #2




RE: (12C) Modulo (the remainder after division )
(01092018 06:03 AM)Gamo Wrote: The modulo operation finds the remainder after division of one number by another. There is more than you see in FIX 2. ;) 7 mod 3 => 0,99999999 20 mod 7 => 5,999999999 200 mod 9 => 1,999999980 1E+9 mod 6 => 4,2 Or take you own examples: 91596 mod 123 => 82,99999640 456654 mod 104 => 93,99998400 98765 mod 43210 => 12344,99999 You could add 0,4 + INTG to round the results to an integer which would help in most cases. But this limits the output to integers so that 123 mod 2,5 = 0,5 cannot be calculated. And in a way this also is like cheating. ;) As already noted, using b*frac(a/b) is not a good idea at all as it causes the shown roundoff errors. A better method is a – b*int(a/b). However, this requires some more steps if you want to preserve the stack: Code: 01 X<>Y This calculates all above examples correctly. All these methods are limited by cases where due to limited precision a/b is returned as an integer although it actually is not. Example: With 10digit precision 8E+9 / 3 = 2666666667 so that the modulus is returned as 0 (frac method) or –1 (int method) instead of 2. Dieter 

01102018, 06:44 AM
(This post was last modified: 01102018 06:45 AM by Gamo.)
Post: #3




RE: (12C) Modulo (the remainder after division )
Thank You Dieter
Your program algorithm is very precise. Gamo 

02152018, 05:15 AM
Post: #4




RE: (12C) Modulo (the remainder after division )
Another MOD program for 12C
Code:
Example: MOD (156511533, 1546223) 156511533 ENTER 1546223 R/S result 343010 Gamo 

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