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新增bezierSpline提供了一系列立方贝塞尔点，并提供了帮助方法来访问贝塞尔

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yhh
2020-12-10 10:53:05 +08:00
parent 8230d9cd9b
commit f38b5261d5
5 changed files with 330 additions and 51 deletions
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144
source/bin/framework.js
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@@ -4230,7 +4230,25 @@ var es;
Bezier.getPoint = function (p0, p1, p2, t) {
t = es.MathHelper.clamp01(t);
var oneMinusT = 1 - t;
return es.Vector2.add(es.Vector2.add(es.Vector2.multiply(new es.Vector2(oneMinusT * oneMinusT), p0), es.Vector2.multiply(new es.Vector2(2 * oneMinusT * t), p1)), es.Vector2.multiply(new es.Vector2(t * t), p2));
return new es.Vector2(oneMinusT * oneMinusT).multiply(p0)
.add(new es.Vector2(2 * oneMinusT * t).multiply(p1))
.add(new es.Vector2(t * t).multiply(p2));
};
/**
* 求解一个立方体曲率
* @param start
* @param firstControlPoint
* @param secondControlPoint
* @param end
* @param t
*/
Bezier.getPointThree = function (start, firstControlPoint, secondControlPoint, end, t) {
t = es.MathHelper.clamp01(t);
var oneMinusT = 1 - t;
return new es.Vector2(oneMinusT * oneMinusT * oneMinusT).multiply(start)
.add(new es.Vector2(3 * oneMinusT * oneMinusT * t).multiply(firstControlPoint))
.add(new es.Vector2(3 * oneMinusT * t * t).multiply(secondControlPoint))
.add(new es.Vector2(t * t * t).multiply(end));
};
/**
* 得到二次贝塞尔函数的一阶导数
@@ -4240,7 +4258,8 @@ var es;
* @param t
*/
Bezier.getFirstDerivative = function (p0, p1, p2, t) {
return es.Vector2.add(es.Vector2.multiply(new es.Vector2(2 * (1 - t)), es.Vector2.subtract(p1, p0)), es.Vector2.multiply(new es.Vector2(2 * t), es.Vector2.subtract(p2, p1)));
return new es.Vector2(2 * (1 - t)).multiply(es.Vector2.subtract(p1, p0))
.add(new es.Vector2(2 * t).multiply(es.Vector2.subtract(p2, p1)));
};
/**
* 得到一个三次贝塞尔函数的一阶导数
@@ -4253,20 +4272,9 @@ var es;
Bezier.getFirstDerivativeThree = function (start, firstControlPoint, secondControlPoint, end, t) {
t = es.MathHelper.clamp01(t);
var oneMunusT = 1 - t;
return es.Vector2.add(es.Vector2.add(es.Vector2.multiply(new es.Vector2(3 * oneMunusT * oneMunusT), es.Vector2.subtract(firstControlPoint, start)), es.Vector2.multiply(new es.Vector2(6 * oneMunusT * t), es.Vector2.subtract(secondControlPoint, firstControlPoint))), es.Vector2.multiply(new es.Vector2(3 * t * t), es.Vector2.subtract(end, secondControlPoint)));
};
/**
* 计算一个三次贝塞尔
* @param start
* @param firstControlPoint
* @param secondControlPoint
* @param end
* @param t
*/
Bezier.getPointThree = function (start, firstControlPoint, secondControlPoint, end, t) {
t = es.MathHelper.clamp01(t);
var oneMunusT = 1 - t;
return es.Vector2.add(es.Vector2.add(es.Vector2.add(es.Vector2.multiply(new es.Vector2(oneMunusT * oneMunusT * oneMunusT), start), es.Vector2.multiply(new es.Vector2(3 * oneMunusT * oneMunusT * t), firstControlPoint)), es.Vector2.multiply(new es.Vector2(3 * oneMunusT * t * t), secondControlPoint)), es.Vector2.multiply(new es.Vector2(t * t * t), end));
return new es.Vector2(3 * oneMunusT * oneMunusT).multiply(es.Vector2.subtract(firstControlPoint, start))
.add(new es.Vector2(6 * oneMunusT * t).multiply(es.Vector2.subtract(secondControlPoint, firstControlPoint)))
.add(new es.Vector2(3 * t * t).multiply(es.Vector2.subtract(end, secondControlPoint)));
};
/**
* 递归地细分bezier曲线，直到满足距离校正
@@ -4321,6 +4329,110 @@ var es;
es.Bezier = Bezier;
})(es || (es = {}));
var es;
(function (es) {
/**
* 提供了一系列立方贝塞尔点，并提供了帮助方法来访问贝塞尔
*/
var BezierSpline = /** @class */ (function () {
function BezierSpline() {
this._points = new es.FastList();
this._curveCount = 0;
}
/**
* 在这个过程中，t被修改为在曲线段的范围内。
* @param t
*/
BezierSpline.prototype.pointIndexAtTime = function (t) {
var i = 0;
if (t.value >= 1) {
t.value = 1;
i = this._points.length - 4;
}
else {
t.value = es.MathHelper.clamp01(t.value) * this._curveCount;
i = ~~t;
t.value -= i;
i *= 3;
}
return i;
};
/**
* 设置一个控制点，考虑到这是否是一个共享点，如果是，则适当调整
* @param index
* @param point
*/
BezierSpline.prototype.setControlPoint = function (index, point) {
if (index % 3 == 0) {
var delta = es.Vector2.subtract(point, this._points.buffer[index]);
if (index > 0)
this._points.buffer[index - 1].add(delta);
if (index + 1 < this._points.length)
this._points.buffer[index + 1].add(delta);
}
this._points.buffer[index] = point;
};
/**
* 得到时间t的贝塞尔曲线上的点
* @param t
*/
BezierSpline.prototype.getPointAtTime = function (t) {
var i = this.pointIndexAtTime(new es.Ref(t));
return es.Bezier.getPointThree(this._points.buffer[i], this._points.buffer[i + 1], this._points.buffer[i + 2], this._points.buffer[i + 3], t);
};
/**
* 得到贝塞尔在时间t的速度（第一导数）
* @param t
*/
BezierSpline.prototype.getVelocityAtTime = function (t) {
var i = this.pointIndexAtTime(new es.Ref(t));
return es.Bezier.getFirstDerivativeThree(this._points.buffer[i], this._points.buffer[i + 1], this._points.buffer[i + 2], this._points.buffer[i + 3], t);
};
/**
* 得到时间t时贝塞尔的方向（归一化第一导数）
* @param t
*/
BezierSpline.prototype.getDirectionAtTime = function (t) {
return es.Vector2.normalize(this.getVelocityAtTime(t));
};
/**
* 在贝塞尔曲线上添加一条曲线
* @param start
* @param firstControlPoint
* @param secondControlPoint
* @param end
*/
BezierSpline.prototype.addCurve = function (start, firstControlPoint, secondControlPoint, end) {
// 只有当这是第一条曲线时，我们才会添加起始点。对于其他所有的曲线，前一个曲线的终点应该等于新曲线的起点。
if (this._points.length == 0)
this._points.add(start);
this._points.add(firstControlPoint);
this._points.add(secondControlPoint);
this._points.add(end);
this._curveCount = (this._points.length - 1) / 3;
};
/**
* 重置bezier，移除所有点
*/
BezierSpline.prototype.reset = function () {
this._points.clear();
};
/**
* 将splitine分解成totalSegments部分，并返回使用线条绘制所需的所有点
* @param totalSegments
*/
BezierSpline.prototype.getDrawingPoints = function (totalSegments) {
var points = [];
for (var i = 0; i < totalSegments; i++) {
var t = i / totalSegments;
points[i] = this.getPointAtTime(t);
}
return points;
};
return BezierSpline;
}());
es.BezierSpline = BezierSpline;
})(es || (es = {}));
var es;
(function (es) {
/**
* 帮助处理位掩码的实用程序类