Scales and translates a value (x) into a new range [a, b].

ScaleAndTranslateIntoRange.java

/**
 * Scales and translates a value (x) into a new range [a, b].
 *
 * Formula:
 * f(x) = a + (b - a)(x - min)/(max - min)
 *
 * See also: https://stackoverflow.com/a/5295202
 */
public BigDecimal scaleAndTranslateIntoRange(BigDecimal value, BigDecimal actualMin, BigDecimal actualMax, BigDecimal desiredMin, BigDecimal desiredMax) {
    return desiredMax.subtract(desiredMin).multiply(value.subtract(actualMin))
            .divide(actualMax.subtract(actualMin), RoundingMode.HALF_UP)
            .add(desiredMin)
            .setScale(2, RoundingMode.HALF_UP);
}