Map range: Difference between revisions
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{{draft task}}Given two [[wp:Interval (mathematics)|ranges]], <math>[a1,a2]</math> and <math>[b1,b2]</math> |
{{draft task}}Given two [[wp:Interval (mathematics)|ranges]], <math>[a1,a2]</math> and <math>[b1,b2]</math>; then 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: |
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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: |
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:<math>t = b1 + {(s - a1)(b2 - b1) \over (a2 - a1)}</math> |
:<math>t = b1 + {(s - a1)(b2 - b1) \over (a2 - a1)}</math> |
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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 < |
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 <code>[0, 10]</code> to the range <code>[-1, 0]</code>. |
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'''Extra credit:''' Show additional idiomatic ways of performing the mapping, using tools available to the language. |
'''Extra credit:''' Show additional idiomatic ways of performing the mapping, using tools available to the language. |
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