How to calculate the curve of a linear floating point number in Javascript?

How do I calculate a curve of a linear floating point number (0 to 1) and get another floating point number as a result? What I want is up until the half (0..0.5), to be inversed logarithmic and high than that to be logarithmic like a curve according to the given linear val开发者_如何学Cue.

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So, what you are looking for is a function to do:

double x, y;
y = 1.0 / log(x) {x = 0 .. 0.5}
    log(x)     {x = 0.5 .. 1}

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or:

y = exp(x) {x = 0 .. 0.5}

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