mirror of
https://github.com/TomHarte/CLK.git
synced 2025-01-12 00:30:31 +00:00
Templated these two methods, so as no longer to put a constraint on precision.
This commit is contained in:
parent
79ef38b123
commit
48317f3b77
@ -1,36 +0,0 @@
|
||||
//
|
||||
// Factors.cpp
|
||||
// Clock Signal
|
||||
//
|
||||
// Created by Thomas Harte on 29/07/2016.
|
||||
// Copyright © 2016 Thomas Harte. All rights reserved.
|
||||
//
|
||||
|
||||
#include "Factors.hpp"
|
||||
|
||||
unsigned int NumberTheory::greatest_common_divisor(unsigned int a, unsigned int b)
|
||||
{
|
||||
if(a < b)
|
||||
{
|
||||
unsigned int swap = b;
|
||||
b = a;
|
||||
a = swap;
|
||||
}
|
||||
|
||||
while(1) {
|
||||
if(!a) return b;
|
||||
if(!b) return a;
|
||||
|
||||
unsigned int remainder = a%b;
|
||||
a = b;
|
||||
b = remainder;
|
||||
}
|
||||
}
|
||||
|
||||
unsigned int NumberTheory::least_common_multiple(unsigned int a, unsigned int b)
|
||||
{
|
||||
if(a == b) return a;
|
||||
|
||||
unsigned int gcd = greatest_common_divisor(a, b);
|
||||
return (a / gcd) * (b / gcd) * gcd;
|
||||
}
|
@ -13,13 +13,33 @@ namespace NumberTheory {
|
||||
/*!
|
||||
@returns The greatest common divisor of @c a and @c b as computed by Euclid's algorithm.
|
||||
*/
|
||||
unsigned int greatest_common_divisor(unsigned int a, unsigned int b);
|
||||
template<class T> T greatest_common_divisor(T a, T b) {
|
||||
if(a < b) {
|
||||
T swap = b;
|
||||
b = a;
|
||||
a = swap;
|
||||
}
|
||||
|
||||
while(1) {
|
||||
if(!a) return b;
|
||||
if(!b) return a;
|
||||
|
||||
T remainder = a%b;
|
||||
a = b;
|
||||
b = remainder;
|
||||
}
|
||||
}
|
||||
|
||||
/*!
|
||||
@returns The least common multiple of @c a and @c b computed indirectly via Euclid's greatest
|
||||
common divisor algorithm.
|
||||
*/
|
||||
unsigned int least_common_multiple(unsigned int a, unsigned int b);
|
||||
template<class T> T least_common_multiple(T a, T b) {
|
||||
if(a == b) return a;
|
||||
|
||||
T gcd = greatest_common_divisor<T>(a, b);
|
||||
return (a / gcd) * (b / gcd) * gcd;
|
||||
}
|
||||
}
|
||||
|
||||
#endif /* Factors_hpp */
|
||||
|
Loading…
x
Reference in New Issue
Block a user