/*
* Copyright (C) 2017 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 android.support.graphics.drawable;
import static android.support.annotation.RestrictTo.Scope.LIBRARY_GROUP;
import static java.lang.Math.abs;
import static java.lang.Math.min;
import android.content.Context;
import android.content.res.Resources;
import android.content.res.TypedArray;
import android.graphics.Path;
import android.graphics.PathMeasure;
import android.support.annotation.RestrictTo;
import android.support.v4.content.res.TypedArrayUtils;
import android.support.v4.graphics.PathParser;
import android.util.AttributeSet;
import android.view.InflateException;
import android.view.animation.Interpolator;
import org.xmlpull.v1.XmlPullParser;
/**
* An interpolator that can traverse a Path that extends from Point
* (0, 0)
to (1, 1)
. The x coordinate along the Path
* is the input value and the output is the y coordinate of the line at that point.
* This means that the Path must conform to a function y = f(x)
.
*
*
The Path
must not have gaps in the x direction and must not
* loop back on itself such that there can be two points sharing the same x coordinate.
* It is alright to have a disjoint line in the vertical direction:
* @hide */ @RestrictTo(LIBRARY_GROUP) public class PathInterpolatorCompat implements Interpolator { // This governs how accurate the approximation of the Path is. private static final float PRECISION = 0.002f; public static final int MAX_NUM_POINTS = 3000; public static final double EPSILON = 0.00001; private float[] mX; // x coordinates in the line private float[] mY; // y coordinates in the line public PathInterpolatorCompat(Context context, AttributeSet attrs, XmlPullParser parser) { this(context.getResources(), context.getTheme(), attrs, parser); } public PathInterpolatorCompat(Resources res, Resources.Theme theme, AttributeSet attrs, XmlPullParser parser) { TypedArray a = TypedArrayUtils.obtainAttributes(res, theme, attrs, AndroidResources.STYLEABLE_PATH_INTERPOLATOR); parseInterpolatorFromTypeArray(a, parser); a.recycle(); } private void parseInterpolatorFromTypeArray(TypedArray a, XmlPullParser parser) { // If there is pathData defined in the xml file, then the controls points // will be all coming from pathData. if (TypedArrayUtils.hasAttribute(parser, "pathData")) { String pathData = TypedArrayUtils.getNamedString(a, parser, "pathData", AndroidResources.STYLEABLE_PATH_INTERPOLATOR_PATH_DATA); Path path = PathParser.createPathFromPathData(pathData); if (path == null) { throw new InflateException("The path is null, which is created" + " from " + pathData); } initPath(path); } else { if (!TypedArrayUtils.hasAttribute(parser, "controlX1")) { throw new InflateException("pathInterpolator requires the controlX1 attribute"); } else if (!TypedArrayUtils.hasAttribute(parser, "controlY1")) { throw new InflateException("pathInterpolator requires the controlY1 attribute"); } float x1 = TypedArrayUtils.getNamedFloat(a, parser, "controlX1", AndroidResources.STYLEABLE_PATH_INTERPOLATOR_CONTROL_X_1, 0); float y1 = TypedArrayUtils.getNamedFloat(a, parser, "controlY1", AndroidResources.STYLEABLE_PATH_INTERPOLATOR_CONTROL_Y_1, 0); boolean hasX2 = TypedArrayUtils.hasAttribute(parser, "controlX2"); boolean hasY2 = TypedArrayUtils.hasAttribute(parser, "controlY2"); if (hasX2 != hasY2) { throw new InflateException("pathInterpolator requires both controlX2 and" + " controlY2 for cubic Beziers."); } if (!hasX2) { initQuad(x1, y1); } else { float x2 = TypedArrayUtils.getNamedFloat(a, parser, "controlX2", AndroidResources.STYLEABLE_PATH_INTERPOLATOR_CONTROL_X_2, 0); float y2 = TypedArrayUtils.getNamedFloat(a, parser, "controlY2", AndroidResources.STYLEABLE_PATH_INTERPOLATOR_CONTROL_Y_2, 0); initCubic(x1, y1, x2, y2); } } } private void initQuad(float controlX, float controlY) { Path path = new Path(); path.moveTo(0, 0); path.quadTo(controlX, controlY, 1f, 1f); initPath(path); } private void initCubic(float x1, float y1, float x2, float y2) { Path path = new Path(); path.moveTo(0, 0); path.cubicTo(x1, y1, x2, y2, 1f, 1f); initPath(path); } private void initPath(Path path) { final PathMeasure pathMeasure = new PathMeasure(path, false /* forceClosed */); final float pathLength = pathMeasure.getLength(); final int numPoints = min(MAX_NUM_POINTS, (int) (pathLength / PRECISION) + 1); if (numPoints <= 0) { throw new IllegalArgumentException("The Path has a invalid length " + pathLength); } mX = new float[numPoints]; mY = new float[numPoints]; final float[] position = new float[2]; for (int i = 0; i < numPoints; ++i) { final float distance = (i * pathLength) / (numPoints - 1); pathMeasure.getPosTan(distance, position, null /* tangent */); mX[i] = position[0]; mY[i] = position[1]; } if (abs(mX[0]) > EPSILON || abs(mY[0]) > EPSILON || abs(mX[numPoints - 1] - 1) > EPSILON || abs(mY[numPoints - 1] - 1) > EPSILON) { throw new IllegalArgumentException("The Path must start at (0,0) and end at (1,1)" + " start: " + mX[0] + "," + mY[0] + " end:" + mX[numPoints - 1] + "," + mY[numPoints - 1]); } float prevX = 0; int componentIndex = 0; for (int i = 0; i < numPoints; i++) { float x = mX[componentIndex++]; if (x < prevX) { throw new IllegalArgumentException("The Path cannot loop back on itself, x :" + x); } mX[i] = x; prevX = x; } if (pathMeasure.nextContour()) { throw new IllegalArgumentException("The Path should be continuous," + " can't have 2+ contours"); } } /** * Using the line in the Path in this interpolator that can be described as ** Path path = new Path(); * path.lineTo(0.25f, 0.25f); * path.moveTo(0.25f, 0.5f); * path.lineTo(1f, 1f); *
y = f(x)
, finds the y coordinate of the line given t
* as the x coordinate. Values less than 0 will always return 0 and values greater
* than 1 will always return 1.
*
* @param t Treated as the x coordinate along the line.
* @return The y coordinate of the Path along the line where x = t
.
* @see Interpolator#getInterpolation(float)
*/
@Override
public float getInterpolation(float t) {
if (t <= 0) {
return 0;
} else if (t >= 1) {
return 1;
}
// Do a binary search for the correct x to interpolate between.
int startIndex = 0;
int endIndex = mX.length - 1;
while (endIndex - startIndex > 1) {
int midIndex = (startIndex + endIndex) / 2;
if (t < mX[midIndex]) {
endIndex = midIndex;
} else {
startIndex = midIndex;
}
}
float xRange = mX[endIndex] - mX[startIndex];
if (xRange == 0) {
return mY[startIndex];
}
float tInRange = t - mX[startIndex];
float fraction = tInRange / xRange;
float startY = mY[startIndex];
float endY = mY[endIndex];
return startY + (fraction * (endY - startY));
}
}