/*
* Copyright (C) 2014 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.transition;
import com.android.internal.R;
import android.content.Context;
import android.content.res.TypedArray;
import android.graphics.Path;
import android.util.AttributeSet;
import android.util.FloatMath;
/**
* A PathMotion that generates a curved path along an arc on an imaginary circle containing
* the two points. If the horizontal distance between the points is less than the vertical
* distance, then the circle's center point will be horizontally aligned with the end point. If the
* vertical distance is less than the horizontal distance then the circle's center point
* will be vertically aligned with the end point.
* <p>
* When the two points are near horizontal or vertical, the curve of the motion will be
* small as the center of the circle will be far from both points. To force curvature of
* the path, {@link #setMinimumHorizontalAngle(float)} and
* {@link #setMinimumVerticalAngle(float)} may be used to set the minimum angle of the
* arc between two points.
* </p>
* <p>This may be used in XML as an element inside a transition.</p>
* <pre>
* {@code
* <changeBounds>
* <arcMotion android:minimumHorizontalAngle="15"
* android:minimumVerticalAngle="0"
* android:maximumAngle="90"/>
* </changeBounds>}
* </pre>
*/
public class ArcMotion extends PathMotion {
private static final float DEFAULT_MIN_ANGLE_DEGREES = 0;
private static final float DEFAULT_MAX_ANGLE_DEGREES = 70;
private static final float DEFAULT_MAX_TANGENT = (float)
Math.tan(Math.toRadians(DEFAULT_MAX_ANGLE_DEGREES/2));
private float mMinimumHorizontalAngle = 0;
private float mMinimumVerticalAngle = 0;
private float mMaximumAngle = DEFAULT_MAX_ANGLE_DEGREES;
private float mMinimumHorizontalTangent = 0;
private float mMinimumVerticalTangent = 0;
private float mMaximumTangent = DEFAULT_MAX_TANGENT;
public ArcMotion() {}
public ArcMotion(Context context, AttributeSet attrs) {
super(context, attrs);
TypedArray a = context.obtainStyledAttributes(attrs, R.styleable.ArcMotion);
float minimumVerticalAngle = a.getFloat(R.styleable.ArcMotion_minimumVerticalAngle,
DEFAULT_MIN_ANGLE_DEGREES);
setMinimumVerticalAngle(minimumVerticalAngle);
float minimumHorizontalAngle = a.getFloat(R.styleable.ArcMotion_minimumHorizontalAngle,
DEFAULT_MIN_ANGLE_DEGREES);
setMinimumHorizontalAngle(minimumHorizontalAngle);
float maximumAngle = a.getFloat(R.styleable.ArcMotion_maximumAngle,
DEFAULT_MAX_ANGLE_DEGREES);
setMaximumAngle(maximumAngle);
a.recycle();
}
/**
* Sets the minimum arc along the circle between two points aligned near horizontally.
* When start and end points are close to horizontal, the calculated center point of the
* circle will be far from both points, giving a near straight path between the points.
* By setting a minimum angle, this forces the center point to be closer and give an
* exaggerated curve to the path.
* <p>The default value is 0.</p>
*
* @param angleInDegrees The minimum angle of the arc on a circle describing the Path
* between two nearly horizontally-separated points.
* @attr ref android.R.styleable#ArcMotion_minimumHorizontalAngle
*/
public void setMinimumHorizontalAngle(float angleInDegrees) {
mMinimumHorizontalAngle = angleInDegrees;
mMinimumHorizontalTangent = toTangent(angleInDegrees);
}
/**
* Returns the minimum arc along the circle between two points aligned near horizontally.
* When start and end points are close to horizontal, the calculated center point of the
* circle will be far from both points, giving a near straight path between the points.
* By setting a minimum angle, this forces the center point to be closer and give an
* exaggerated curve to the path.
* <p>The default value is 0.</p>
*
* @return The minimum arc along the circle between two points aligned near horizontally.
* @attr ref android.R.styleable#ArcMotion_minimumHorizontalAngle
*/
public float getMinimumHorizontalAngle() {
return mMinimumHorizontalAngle;
}
/**
* Sets the minimum arc along the circle between two points aligned near vertically.
* When start and end points are close to vertical, the calculated center point of the
* circle will be far from both points, giving a near straight path between the points.
* By setting a minimum angle, this forces the center point to be closer and give an
* exaggerated curve to the path.
* <p>The default value is 0.</p>
*
* @param angleInDegrees The minimum angle of the arc on a circle describing the Path
* between two nearly vertically-separated points.
* @attr ref android.R.styleable#ArcMotion_minimumVerticalAngle
*/
public void setMinimumVerticalAngle(float angleInDegrees) {
mMinimumVerticalAngle = angleInDegrees;
mMinimumVerticalTangent = toTangent(angleInDegrees);
}
/**
* Returns the minimum arc along the circle between two points aligned near vertically.
* When start and end points are close to vertical, the calculated center point of the
* circle will be far from both points, giving a near straight path between the points.
* By setting a minimum angle, this forces the center point to be closer and give an
* exaggerated curve to the path.
* <p>The default value is 0.</p>
*
* @return The minimum angle of the arc on a circle describing the Path
* between two nearly vertically-separated points.
* @attr ref android.R.styleable#ArcMotion_minimumVerticalAngle
*/
public float getMinimumVerticalAngle() {
return mMinimumVerticalAngle;
}
/**
* Sets the maximum arc along the circle between two points. When start and end points
* have close to equal x and y differences, the curve between them is large. This forces
* the curved path to have an arc of at most the given angle.
* <p>The default value is 70 degrees.</p>
*
* @param angleInDegrees The maximum angle of the arc on a circle describing the Path
* between the start and end points.
* @attr ref android.R.styleable#ArcMotion_maximumAngle
*/
public void setMaximumAngle(float angleInDegrees) {
mMaximumAngle = angleInDegrees;
mMaximumTangent = toTangent(angleInDegrees);
}
/**
* Returns the maximum arc along the circle between two points. When start and end points
* have close to equal x and y differences, the curve between them is large. This forces
* the curved path to have an arc of at most the given angle.
* <p>The default value is 70 degrees.</p>
*
* @return The maximum angle of the arc on a circle describing the Path
* between the start and end points.
* @attr ref android.R.styleable#ArcMotion_maximumAngle
*/
public float getMaximumAngle() {
return mMaximumAngle;
}
private static float toTangent(float arcInDegrees) {
if (arcInDegrees < 0 || arcInDegrees > 90) {
throw new IllegalArgumentException("Arc must be between 0 and 90 degrees");
}
return (float) Math.tan(Math.toRadians(arcInDegrees / 2));
}
@Override
public Path getPath(float startX, float startY, float endX, float endY) {
// Here's a little ascii art to show how this is calculated:
// c---------- b
// \ / |
// \ d |
// \ / e
// a----f
// This diagram assumes that the horizontal distance is less than the vertical
// distance between The start point (a) and end point (b).
// d is the midpoint between a and b. c is the center point of the circle with
// This path is formed by assuming that start and end points are in
// an arc on a circle. The end point is centered in the circle vertically
// and start is a point on the circle.
// Triangles bfa and bde form similar right triangles. The control points
// for the cubic Bezier arc path are the midpoints between a and e and e and b.
Path path = new Path();
path.moveTo(startX, startY);
float ex;
float ey;
if (startY == endY) {
ex = (startX + endX) / 2;
ey = startY + mMinimumHorizontalTangent * Math.abs(endX - startX) / 2;
} else if (startX == endX) {
ex = startX + mMinimumVerticalTangent * Math.abs(endY - startY) / 2;
ey = (startY + endY) / 2;
} else {
float deltaX = endX - startX;
float deltaY = startY - endY; // Y is inverted compared to diagram above.
// hypotenuse squared.
float h2 = deltaX * deltaX + deltaY * deltaY;
// Midpoint between start and end
float dx = (startX + endX) / 2;
float dy = (startY + endY) / 2;
// Distance squared between end point and mid point is (1/2 hypotenuse)^2
float midDist2 = h2 * 0.25f;
float minimumArcDist2 = 0;
if (Math.abs(deltaX) < Math.abs(deltaY)) {
// Similar triangles bfa and bde mean that (ab/fb = eb/bd)
// Therefore, eb = ab * bd / fb
// ab = hypotenuse
// bd = hypotenuse/2
// fb = deltaY
float eDistY = h2 / (2 * deltaY);
ey = endY + eDistY;
ex = endX;
minimumArcDist2 = midDist2 * mMinimumVerticalTangent
* mMinimumVerticalTangent;
} else {
// Same as above, but flip X & Y
float eDistX = h2 / (2 * deltaX);
ex = endX + eDistX;
ey = endY;
minimumArcDist2 = midDist2 * mMinimumHorizontalTangent
* mMinimumHorizontalTangent;
}
float arcDistX = dx - ex;
float arcDistY = dy - ey;
float arcDist2 = arcDistX * arcDistX + arcDistY * arcDistY;
float maximumArcDist2 = midDist2 * mMaximumTangent * mMaximumTangent;
float newArcDistance2 = 0;
if (arcDist2 < minimumArcDist2) {
newArcDistance2 = minimumArcDist2;
} else if (arcDist2 > maximumArcDist2) {
newArcDistance2 = maximumArcDist2;
}
if (newArcDistance2 != 0) {
float ratio2 = newArcDistance2 / arcDist2;
float ratio = FloatMath.sqrt(ratio2);
ex = dx + (ratio * (ex - dx));
ey = dy + (ratio * (ey - dy));
}
}
float controlX1 = (startX + ex) / 2;
float controlY1 = (startY + ey) / 2;
float controlX2 = (ex + endX) / 2;
float controlY2 = (ey + endY) / 2;
path.cubicTo(controlX1, controlY1, controlX2, controlY2, endX, endY);
return path;
}
}
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