com/android/settingslib/display/BrightnessUtils.java

/*
 * Copyright (C) 2018 The Android Open Source Project
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

package com.android.settingslib.display;

import android.util.MathUtils;

public class BrightnessUtils {

    public static final int GAMMA_SPACE_MAX = 1023;

    // Hybrid Log Gamma constant values
    private static final float R = 0.5f;
    private static final float A = 0.17883277f;
    private static final float B = 0.28466892f;
    private static final float C = 0.55991073f;

    /**
     * A function for converting from the gamma space that the slider works in to the
     * linear space that the setting works in.
     *
     * The gamma space effectively provides us a way to make linear changes to the slider that
     * result in linear changes in perception. If we made changes to the slider in the linear space
     * then we'd see an approximately logarithmic change in perception (c.f. Fechner's Law).
     *
     * Internally, this implements the Hybrid Log Gamma electro-optical transfer function, which is
     * a slight improvement to the typical gamma transfer function for displays whose max
     * brightness exceeds the 120 nit reference point, but doesn't set a specific reference
     * brightness like the PQ function does.
     *
     * Note that this transfer function is only valid if the display's backlight value is a linear
     * control. If it's calibrated to be something non-linear, then a different transfer function
     * should be used.
     *
     * @param val The slider value.
     * @param min The minimum acceptable value for the setting.
     * @param max The maximum acceptable value for the setting.
     * @return The corresponding setting value.
     */
    public static final int convertGammaToLinear(int val, int min, int max) {
        final float normalizedVal = MathUtils.norm(0, GAMMA_SPACE_MAX, val);
        final float ret;
        if (normalizedVal <= R) {
            ret = MathUtils.sq(normalizedVal / R);
        } else {
            ret = MathUtils.exp((normalizedVal - C) / A) + B;
        }

        // HLG is normalized to the range [0, 12], so we need to re-normalize to the range [0, 1]
        // in order to derive the correct setting value.
        return Math.round(MathUtils.lerp(min, max, ret / 12));
    }

    /**
     * A function for converting from the linear space that the setting works in to the
     * gamma space that the slider works in.
     *
     * The gamma space effectively provides us a way to make linear changes to the slider that
     * result in linear changes in perception. If we made changes to the slider in the linear space
     * then we'd see an approximately logarithmic change in perception (c.f. Fechner's Law).
     *
     * Internally, this implements the Hybrid Log Gamma opto-electronic transfer function, which is
     * a slight improvement to the typical gamma transfer function for displays whose max
     * brightness exceeds the 120 nit reference point, but doesn't set a specific reference
     * brightness like the PQ function does.
     *
     * Note that this transfer function is only valid if the display's backlight value is a linear
     * control. If it's calibrated to be something non-linear, then a different transfer function
     * should be used.
     *
     * @param val The brightness setting value.
     * @param min The minimum acceptable value for the setting.
     * @param max The maximum acceptable value for the setting.
     * @return The corresponding slider value
     */
    public static final int convertLinearToGamma(int val, int min, int max) {
        // For some reason, HLG normalizes to the range [0, 12] rather than [0, 1]
        final float normalizedVal = MathUtils.norm(min, max, val) * 12;
        final float ret;
        if (normalizedVal <= 1f) {
            ret = MathUtils.sqrt(normalizedVal) * R;
        } else {
            ret = A * MathUtils.log(normalizedVal - B) + C;
        }

        return Math.round(MathUtils.lerp(0, GAMMA_SPACE_MAX, ret));
    }
}