Im trying to generate a set of four numbers, each ranging from 1 to 200 for starters, but upper limit could be higher.
what i have now is 4 for loops:
void findNumberSets(float ratio, float err, float lowerLimit, float upperLimit)
int count = 0;
float actualError = 0;
for (float a = lowerLimit;a<=upperLimit;a++)
// Second Interation
actualError = fabs((a*c)/(b*d) - ratio);
if( actualError <= err)
count++; // Found set within range
You supply it a decimal and a error amount, and it counts every single possibility the 4 numbers can be in that will give a decimal within the range of "err".
Well with the upperLimit set higher, this functions takes longer and longer to execute. What I need though is a way to cut the number of loops by a quarter to speed it up.
If it returns four numbers, for example, a=21, b=30, c=100, d=150, there are three other identical ratios that I dont need to find. For example,
a=100, b=30, c=21, d=150
a=21, b=150, c=100, c=30,
a=100, b=150, c=21, d=30
I thought about storing every option in an array of sorts, but then checking through for matches each loop seems excessive, and may increase the time it takes to execute. As it is now, 4 sets from 1 to 200 yields a huge amount of results depending on the err wanted.
Can anyone shed some direction on this?