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Brain fart. How can I reduce some number ranges to another range?
Author
Hey all, Im working on a radar of sorts and am having a huge brain fart.. and google isnt helping much either.
I have three number ranges..
1 - 10,000, 1 - 30,000 & 1 - 55,000
I need to be able to convert each to a range from 1-64.. and for the life of me, the math just isn't working in my favor..
Any ideas?
I suspect you're after linear interpolation.
Take the value, and subtract the lower bound of its current range (-1), then divide by the difference between the upper bound and lower bound of that range (/9999). This gives you a value between 0 and 1, where 0 corresponds to the lower bound of the old range and 1 corresponds to the upper bound of the old range. Now multiply by the difference between the upper bound and lower bound of the new range (*63) and add the lower bound of the new range (+1).
Take the value, and subtract the lower bound of its current range (-1), then divide by the difference between the upper bound and lower bound of that range (/9999). This gives you a value between 0 and 1, where 0 corresponds to the lower bound of the old range and 1 corresponds to the upper bound of the old range. Now multiply by the difference between the upper bound and lower bound of the new range (*63) and add the lower bound of the new range (+1).
You can always perform linear normalisation,
For each value x in the range ( 1, 10000 )
new_value = ( x - 1 ) / ( 10000 - 1 )
This would give you a range between 0-1, so,
For each value x,
new_value = 63*x+1
For example,
The value x=1 will become 1;
The value x=10000 will become 64;
The value 5000 will become ~0.5
Hope this helps!
For each value x in the range ( 1, 10000 )
new_value = ( x - 1 ) / ( 10000 - 1 )
This would give you a range between 0-1, so,
For each value x,
new_value = 63*x+1
For example,
The value x=1 will become 1;
The value x=10000 will become 64;
The value 5000 will become ~0.5
Hope this helps!
new_value = (old_value - old_min) / old_range * new_range + new_min
For 1 to 10,000, old_min is 1 and old_range is 9,999. Your new range and minimum is 63 and 1, respectively.
EDIT: Whoah. It took me less than a minute to type that, but benryves' post hadn't shown up yet. Is there some update lag between the database clusters on the GD net forums or something?
For 1 to 10,000, old_min is 1 and old_range is 9,999. Your new range and minimum is 63 and 1, respectively.
EDIT: Whoah. It took me less than a minute to type that, but benryves' post hadn't shown up yet. Is there some update lag between the database clusters on the GD net forums or something?
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