How to Convert a Number Range to Another Range While Maintaining Ratio?

Convert a Number Range to Another Range, Maintaining Ratio

Converting a numeric range to another while preserving their relative proportions can be a useful technique in various applications. Let's consider a scenario where you need to compress point values from a range of -16000.00 to 16000.00 into an integer range of 0-100.

The following formula provides a general algorithm for this conversion:

NewValue = (((OldValue - OldMin) * (NewMax - NewMin)) / (OldMax - OldMin)) + NewMin

where:

• OldValue is the original value in the old range
• OldMin is the minimum value in the old range
• OldMax is the maximum value in the old range
• NewMax is the maximum value in the new range
• NewMin is the minimum value in the new range

This formula essentially calculates the ratio of the new value to the new range and applies it to the ratio of the old value to the old range. The following Python code snippet demonstrates how to use this formula:

old_min = -16000.00
old_max = 16000.00
new_min = 0
new_max = 100
old_value = 0.0

new_value = (((old_value - old_min) * (new_max - new_min)) / (old_max - old_min)) + new_min

print(new_value)

The formula also allows for adjustments to either range by changing the values of OldMin, OldMax, NewMin, and NewMax. For example, if you wanted to convert values from the range -50 to 800 to the range 0-100, you would use the following formula:

NewValue = (((OldValue + 50) * 100) / (850))

This formula adjusts the old range by adding 50 to each value to shift it to the positive side and then reduces its size by a factor of 850/(850-50) to fit it into the new range.

By using this generalized algorithm, you can convert numeric ranges and maintain their relative ratios, even when the ranges vary or you need to adjust the minimum and maximum values.

The above is the detailed content of How to Convert a Number Range to Another Range While Maintaining Ratio?. For more information, please follow other related articles on the PHP Chinese website!