Map range: Difference between revisions

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Hope that looks nice while being clear/easily readable?
Slight mod to wording of task.
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{{draft task}}Given two [[wp:Interval (mathematics)|ranges]], <math>[a1,a2]</math> and <math>[b1,b2]</math>,; andthen a value <math>s</math> in range <math>[a1,a2]</math> is linearly mapped to a value <math>t</math> in range <math>[b1,b2]</math> when:
 
Then a value <math>s</math> in range <math>A</math> is linearly mapped to a value <math>t</math> in range <math>B</math> where:
:<math>t = b1 + {(s - a1)(b2 - b1) \over (a2 - a1)}</math>
 
The task is to write a function/subroutine/... that takes two ranges and a real number, and returns the mapping of the real number from the first to the second range. Use this function to map the values of the integers <math>0..10</math> from the range <mathcode>[0, 10]</mathcode> to the range <mathcode>[\neg1-1, 0]</mathcode>.
 
'''Extra credit:''' Show additional idiomatic ways of performing the mapping, using tools available to the language.
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