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-rw-r--r--sdk/src/java/org/cyanogenmod/internal/util/MathUtils.java67
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diff --git a/sdk/src/java/org/cyanogenmod/internal/util/MathUtils.java b/sdk/src/java/org/cyanogenmod/internal/util/MathUtils.java
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+/*
+ * Copyright (C) 2016 The CyanogenMod 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 org.cyanogenmod.internal.util;
+
+public final class MathUtils {
+
+ /**
+ * Given a range of values which change continuously in a non-linear way,
+ * we can map back and forth to a linear scale using some quadratic equations.
+ *
+ * The linear scale ranges from 0 -> 1. This method will calculate the
+ * coefficients needed to solve the conversion functions in the next two methods.
+ *
+ * lower = actual value when linear value = 0
+ * mid = actual value when linear value = .5
+ * upper actual value when linear value = 1
+ *
+ * @param lower
+ * @param mid
+ * @param upper
+ * @return array of coefficients
+ */
+ public static double[] powerCurve(double lower, double mid, double upper) {
+ final double[] curve = new double[3];
+ curve[0] = ((lower * upper) - (mid * mid)) / (lower - (2 * mid) + upper);
+ curve[1] = Math.pow((mid - lower), 2) / (lower - (2 * mid) + upper);
+ curve[2] = 2 * Math.log((upper - mid) / (mid - lower));
+ return curve;
+ }
+
+ /**
+ * Map a value on a power curve to a linear value
+ *
+ * @param curve obtained from powerCurve()
+ * @param value to convert to linear scale
+ * @return linear value from 0 -> 1
+ */
+ public static double powerCurveToLinear(final double[] curve, double value) {
+ return Math.log((value - curve[0]) / curve[1]) / curve[2];
+ }
+
+ /**
+ * Map a value on a linear scale to a value on a power curve
+ *
+ * @param curve obtained from powerCurve()
+ * @param value from 0 -> 1 to map onto power curve
+ * @return actual value on the given curve
+ */
+ public static double linearToPowerCurve(final double[] curve, double value) {
+ return curve[0] + curve[1] * Math.exp(curve[2] * value);
+ }
+
+
+}