#pragma once #include "util/math.hpp" namespace rack { inline float sinc(float x) { if (x == 0.f) return 1.f; x *= M_PI; return sinf(x) / x; } inline float quadraticBipolar(float x) { float x2 = x*x; return (x >= 0.f) ? x2 : -x2; } inline float cubic(float x) { return x*x*x; } inline float quarticBipolar(float x) { float y = x*x*x*x; return (x >= 0.f) ? y : -y; } inline float quintic(float x) { // optimal with --fast-math return x*x*x*x*x; } inline float sqrtBipolar(float x) { return (x >= 0.f) ? sqrtf(x) : -sqrtf(-x); } /** This is pretty much a scaled sinh */ inline float exponentialBipolar(float b, float x) { const float a = b - 1.f / b; return (powf(b, x) - powf(b, -x)) / a; } inline float gainToDb(float gain) { return log10f(gain) * 20.f; } inline float dbToGain(float db) { return powf(10.f, db / 20.f); } } // namespace rack