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A map from [0-1] to an arbitrary range, specified using low/mid/high values. Pulled out from some Signalsmith Audio internal code.
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| class UnitRangeMapReciprocal { | |
| double vMin, vTopFactor, vBottomFactor; | |
| public: | |
| UnitRangeMapReciprocal() : UnitRangeMapReciprocal(0, 0.5, 1) {} | |
| UnitRangeMapReciprocal(double min, double mid, double max) { | |
| vMin = min; | |
| double k = (mid - min)/(max - mid); | |
| vTopFactor = max*k - min; | |
| vBottomFactor = k - 1; | |
| } | |
| double toUnitRange(double value) const { | |
| return (value - vMin)/(vTopFactor - value*vBottomFactor); | |
| } | |
| double fromUnitRange(double unit) const { | |
| return (vMin + unit*vTopFactor)/(1 + unit*vBottomFactor); | |
| } | |
| }; |
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Interactive version: https://www.desmos.com/calculator/dj2xiomjux