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{{draft task}}Given two [[wp:Interval (mathematics)|ranges]]:

{{draft task}}Given two [[wp:Interval (mathematics)|ranges]], <math>[a1,a2]</math> and <math>[b1,b2]</math>, and a value <math>s</math> in range

* Range <math>a</math> of all real numbers <math>x</math> satisfying <math>a1 \le x \le a2</math>.

* ~~And~~ ~~range~~ <math>b</math> of ~~all real numbers~~ <math>y</math> ~~satisfying~~ <math>b1 ~~\le~~ y ~~\le b2~~</math>.

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:

Then a value s in range a is linearly mapped to a value t in range b 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 0 to 10 from the range [0, 10] to the range [-1, 0].

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 <math>[0, 10]</math> to the range <math>[\neg1, 0]</math>.

'''Extra credit:''' Show additional idiomatic ways of performing the mapping, using tools available to the language.