module SPCore class Saturation # Sigmoid-based saturation when input is above threshold. # From musicdsp.org, posted by Bram. def self.sigmoid input, threshold input_abs = input.abs if input_abs < threshold return input else #y = threshold + (1.0 - threshold) * mock_sigmoid((input_abs - threshold) / ((1.0 - threshold) * 1.5)) y = threshold + (1.0 - threshold) * Math::tanh((input_abs - threshold)/(1-threshold)) if input > 0.0 return y else return -y end end end def self.gompertz input, threshold a = threshold b = -4 c = -2 x = input.abs y = 2 * a * Math::exp(b * Math::exp(c * x)) if input > 0.0 return y else return -y end end private #def self.mock_sigmoid x # if(x.abs < 1.0) # return x * (1.5 - 0.5 * x * x) # else # return x > 0.0 ? 1.0 : -1.0 # end #end end end