opsu-dance/src/itdelatrisu/opsu/objects/curves/Curve.java

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/*
* opsu! - an open-source osu! client
* Copyright (C) 2014, 2015 Jeffrey Han
*
* opsu! is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* opsu! is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with opsu!. If not, see <http://www.gnu.org/licenses/>.
*/
package itdelatrisu.opsu.objects.curves;
import itdelatrisu.opsu.OsuHitObject;
import org.newdawn.slick.Color;
/**
* Representation of a curve.
*/
public abstract class Curve {
/** The associated OsuHitObject. */
protected OsuHitObject hitObject;
/** The color of this curve. */
protected Color color;
/**
* Constructor.
* @param hitObject the associated OsuHitObject
* @param color the color of this curve
*/
protected Curve(OsuHitObject hitObject, Color color) {
this.hitObject = hitObject;
this.color = color;
}
/**
* Returns the point on the curve at a value t.
* @param t the t value [0, 1]
* @return the point [x, y]
*/
public abstract float[] pointAt(float t);
/**
* Draws the full curve to the graphics context.
*/
public abstract void draw();
/**
* Returns the angle of the first control point.
*/
public abstract float getEndAngle();
/**
* Returns the angle of the last control point.
*/
public abstract float getStartAngle();
/**
* Returns the x coordinate of the control point at index i.
*/
protected float getX(int i) {
return (i == 0) ? hitObject.getX() : hitObject.getSliderX()[i - 1];
}
/**
* Returns the y coordinate of the control point at index i.
*/
protected float getY(int i) {
return (i == 0) ? hitObject.getY() : hitObject.getSliderY()[i - 1];
}
/**
* Linear interpolation of a and b at t.
*/
protected float lerp(float a, float b, float t) {
return a * (1 - t) + b * t;
}
/**
* A recursive method to evaluate polynomials in Bernstein form or Bezier curves.
* http://en.wikipedia.org/wiki/De_Casteljau%27s_algorithm
*/
protected float deCasteljau(float[] a, int i, int order, float t) {
if (order == 0)
return a[i];
return lerp(deCasteljau(a, i, order - 1, t), deCasteljau(a, i + 1, order - 1, t), t);
}
}