在前面《电信网络拓扑图自动布局之总线》一文中,我们重点介绍了自定义 EdgeType 的使用,概括了实现总线效果的设计思路,那么今天话题是基于 的曲线布局(ShapeLayout)。
ShapeLayout 从字面上的意思理解,就是根据曲线路径来布局节点,省去手动布局节点的繁琐操作,还能保证平滑整齐地排布,这是手动调整很难做到的。ShapeLayout 结合前面提到的总线,是最普遍的应用。
我们先来看看最简单的圆和椭圆是如何实现自动布局的。我们知道在几何学中,圆和椭圆是可以用三角函数老表示,那么我们就可以将圆或者椭圆分成若干份,通过三角函数就可以算出圆或椭圆上的一点,将节点放到计算出来的点的位置,这样就可以达到的效果。具体的核心代码如下:
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var radians = Math.PI * 2 / nodeCount,
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w = width / 2,
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h = height / 2,
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a = Math.max(w, h),
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b = Math.min(w, h),
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x, y, rad, node; if (shape === 'circle') a = b = Math.min(a, b); for (var i = 0; i < nodeCount; i++) {
-
rad = radians * i;
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x = a * Math.cos(rad) + position.x + offset.x;
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y = b * Math.sin(rad) + position.y + offset.y;
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node = this._nodes[i]; if (!node) continue; if (!anim)
-
node.setPosition({ x: x, y: y }); else {
-
anim.action = function(pBegin, pEnd, v) { this.setPosition({
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x: pBegin.x + (pEnd.x - pBegin.x) * v,
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y: pBegin.y + (pEnd.y - pBegin.y) * v
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});
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}.bind(node, node.getPosition(), { x: x, y: y });
-
ht.Default.startAnim(anim);
-
}
-
}
当然,会有人会问,对椭圆按照角度平均分成若干份计算出来的位置并不是等距的,没错,确实不是等距的,这这边就简单处理了,如果要弧度等距的话,那这个就真麻烦了,在这边就不做阐述了,也没办法阐述,因为我也不懂。
如上图的例子,节点沿着某条曲线均匀布局,那么这种不是特殊形状的连线组合是怎么实现自动布局的呢?其实也很简单,在前面总线章节中就有提到,将曲线分割若干小线段,每次计算固定长度,当判断落点在某条线段上的时候,就可以将问题转换为求线段上一点的数学问题,和总线一样,曲线的切割精度需要用户来定义,在不同的应用场景中,需求可能不太一样。
-
preP = beginP; var nodeIndex = 0, indexLength, node; for (; i < pointsCount;) {
-
p = this._calculationPoints[i];
-
indexLength = padding + resolution * nodeIndex; if (p.totalLength < indexLength) {
-
preP = p;
-
i++; continue;
-
}
-
node = this._nodes[nodeIndex++]; if (!node) break;
-
-
dis = indexLength - preP.totalLength;
-
tP = getPointWithLength(dis, preP.point, p.point);
-
-
p = {
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x: tP.x + position.x + offset.x - width / 2,
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y: tP.y + position.y + offset.y - height / 2 }; if (!anim)
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node.setPosition(p); else {
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anim.action = function(pBegin, pEnd, v) { this.setPosition({
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x: pBegin.x + (pEnd.x - pBegin.x) * v,
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y: pBegin.y + (pEnd.y - pBegin.y) * v
-
});
-
}.bind(node, node.getPosition(), p);
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ht.Default.startAnim(anim);
-
}
-
-
preP = {
-
point: tP,
-
distance: dis,
-
totalLength: indexLength
-
};
-
}
以上就是非特殊形状的连线组合的核心代码,这也只是代码片段,可能理解起来还是会比较吃力的,那么下面我将贴上源代码,有兴趣的朋友可以帮忙瞅瞅,有什么不妥的,欢迎指出。
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;(function(window, ht) { var distance = function(p1, p2) { var dx = p2.x - p1.x,
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dy = p2.y - p1.y; return Math.sqrt(Math.pow(dx, 2) + Math.pow(dy, 2));
-
}; var bezier2 = function(t, p0, p1, p2) { var t1 = 1 - t; return t1*t1*p0 + 2*t*t1*p1 + t*t*p2;
-
}; var bezier3 = function(t, p0, p1, p2, p3 ) { var t1 = 1 - t; return t1*t1*t1*p0 + 3*t1*t1*t*p1 + 3*t1*t*t*p2 + t*t*t*p3;
-
}; var getPointWithLength = function(length, p1, p2) { var dis = distance(p1, p2),
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temp = length / dis,
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dx = p2.x - p1.x,
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dy = p2.y - p1.y; return { x: p1.x + dx * temp, y: p1.y + dy * temp };
-
}; var ShapeLayout = ht.ShapeLayout = function() {};
-
-
ht.Default.def('ht.ShapeLayout', Object, {
-
ms_fire: 1,
-
ms_ac: ['padding', 'offset', 'shape', 'closePath', 'position', 'width', 'height'],
-
-
calculationSize: function() { if (!this._points) return; var min = { x: Infinity, y: Infinity},
-
max = { x: -Infinity, y: -Infinity},
-
p, len = this._points.length; for (var i = 0; i < len; i++) {
-
p = this._points[i];
-
min.x = Math.min(min.x, p.x);
-
min.y = Math.min(min.y, p.y);
-
max.x = Math.max(max.x, p.x);
-
max.y = Math.max(max.y, p.y);
-
} this._width = max.x - min.x; this._height = max.y - min.y; this._position = {
-
x: min.x + this._width / 2,
-
y: min.y + this._height / 2 };
-
},
-
-
_points: null,
-
getPoints: function() { return this._points; },
-
setPoints: function(value) { if (value instanceof Array) this._points = value.slice(0); else if (value instanceof ht.List) this._points = value._as.slice(0); else this._points = null; this.__calcuPoints = !!this._points; this.calculationSize();
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},
-
-
_segments: null,
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getSegments: function() { return this._segments; },
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setSegments: function(value) { if (value instanceof Array) this._segments = value.slice(0); else if (value instanceof ht.List) this._segments = value._as.slice(0); else this._segments = null; this.__calcuPoints = !!this._segments;
-
},
-
-
_style: {},
-
s: function() { return this.setStyle.apply(this, arguments);
-
},
-
setStyle: function() { var name = arguments[0],
-
value = arguments[1]; if (arguments.length === 1) { if (typeof name === 'object'){ for (var n in name) this._style[n] = name[n];
-
} else return this._style[name];
-
} else this._style[name] = value;
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},
-
-
_nodes: null,
-
getNodes: function() { return this._nodes; },
-
setNodes: function(value) { if (value instanceof Array) this._nodes = value.slice(0); else if (value instanceof ht.List) this._nodes = value._as.slice(0); else this._nodes = null;
-
},
-
addNode: function(node) { if (!this._nodes) this._nodes = []; this._nodes.push(node);
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},
-
-
_calculationPoints: [],
-
splitPoints: function() { if (!this._points || this._points.length === 0) {
-
alert('Please set points with setPoints method!'); return;
-
} var points = this._points.slice(0),
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segments; if (!this._segments || this._segments.length === 0) {
-
segments = points.map(function(p, index) { return 2; });
-
segments[0] = 1;
-
} else {
-
segments = this._segments.slice(0);
-
} this._calculationPoints.length = 0; var beginPoint = points[0],
-
preP = {
-
point: { x: beginPoint.x, y: beginPoint.y },
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distance: 0,
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totalLength: 0 }; this._calculationPoints.push(preP); var length = segments.length,
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pointIndex = 1, seg, p, tP, dis,
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p0, p1, p2, p3, j,
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curveResolution = this.s('curve.resolution') || 50; var calcuPoints = function(currP) {
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dis = distance(preP.point, currP);
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p = {
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point: { x: currP.x, y: currP.y },
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distance: dis,
-
totalLength: preP.totalLength + dis
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}; this._calculationPoints.push(p);
-
preP = p;
-
}.bind(this); for (var i = 1; i < length; i++) {
-
seg = segments[i]; if (seg === 1) {
-
tP = points[pointIndex++];
-
p = {
-
point: { x: tP.x, y: tP.y },
-
distance: 0,
-
totalLength: preP.totalLength
-
}; this._calculationPoints.push(p);
-
preP = p;
-
} else if (seg === 2) { calcuPoints(points[pointIndex++]); } else if (seg === 3) {
-
p1 = points[pointIndex++];
-
p2 = points[pointIndex++];
-
p0 = preP.point; for (j = 1; j <= curveResolution; j++) {
-
tP = {
-
x: bezier2(j / curveResolution, p0.x, p1.x, p2.x),
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y: bezier2(j / curveResolution, p0.y, p1.y, p2.y)
-
};
-
calcuPoints(tP);
-
}
-
} else if (seg === 4) {
-
p1 = points[pointIndex++];
-
p2 = points[pointIndex++];
-
p3 = points[pointIndex++];
-
p0 = preP.point; for (j = 1; j <= curveResolution; j++) {
-
tP = {
-
x: bezier3(j / curveResolution, p0.x, p1.x, p2.x, p3.x),
-
y: bezier3(j / curveResolution, p0.y, p1.y, p2.y, p3.y)
-
};
-
calcuPoints(tP);
-
}
-
} else if (seg === 5) {
-
tP = this._calculationPoints[0].point;
-
calcuPoints(tP);
-
}
-
} this._totalLength = preP.totalLength;
-
},
-
-
layout: function(anim) { if (!this._nodes || this._nodes.length === 0) {
-
alert('Please set nodes width setNode method!'); return;
-
} var nodeCount = this._nodes.length,
-
shape = this._shape,
-
shapeList = ['circle', 'oval'],
-
offset = this._offset || { x: 0, y: 0 },
-
position = this._position || { x: 0, y: 0 },
-
width = this._width || 0,
-
height = this._height || 0; if (shape && shapeList.indexOf(shape) >= 0) { var radians = Math.PI * 2 / nodeCount,
-
w = width / 2,
-
h = height / 2,
-
a = Math.max(w, h),
-
b = Math.min(w, h),
-
x, y, rad, node; if (shape === 'circle') a = b = Math.min(a, b); for (var i = 0; i < nodeCount; i++) {
-
rad = radians * i;
-
x = a * Math.cos(rad) + position.x + offset.x;
-
y = b * Math.sin(rad) + position.y + offset.y;
-
node = this._nodes[i]; if (!node) continue; if (!anim)
-
node.setPosition({ x: x, y: y }); else {
-
anim.action = function(pBegin, pEnd, v) { this.setPosition({
-
x: pBegin.x + (pEnd.x - pBegin.x) * v,
-
y: pBegin.y + (pEnd.y - pBegin.y) * v
-
});
-
}.bind(node, node.getPosition(), { x: x, y: y });
-
ht.Default.startAnim(anim);
-
}
-
} return;
-
} if (!this._calculationPoints || this.__calcuPoints) this.splitPoints(); var padding = this._padding || 0,
-
length = this._totalLength - 2 * padding,
-
resolution = length / (nodeCount - (this._closePath ? 0 : 1)),
-
i = 1, p, preP, beginP, dis,
-
pointsCount = this._calculationPoints.length; for (; i < pointsCount; i++) {
-
p = this._calculationPoints[i]; if (p.totalLength < padding) continue;
-
preP = this._calculationPoints[i - 1];
-
dis = padding - preP.totalLength;
-
beginP = {
-
point: getPointWithLength(dis, preP.point, p.point),
-
distance: p.distance - dis,
-
totalLength: padding
-
}; break;
-
}
-
-
preP = beginP; var nodeIndex = 0, indexLength, node; for (; i < pointsCount;) {
-
p = this._calculationPoints[i];
-
indexLength = padding + resolution * nodeIndex; if (p.totalLength < indexLength) {
-
preP = p;
-
i++; continue;
-
}
-
node = this._nodes[nodeIndex++]; if (!node) break;
-
-
dis = indexLength - preP.totalLength;
-
tP = getPointWithLength(dis, preP.point, p.point);
-
-
p = {
-
x: tP.x + position.x + offset.x - width / 2,
-
y: tP.y + position.y + offset.y - height / 2 }; if (!anim)
-
node.setPosition(p); else {
-
anim.action = function(pBegin, pEnd, v) { this.setPosition({
-
x: pBegin.x + (pEnd.x - pBegin.x) * v,
-
y: pBegin.y + (pEnd.y - pBegin.y) * v
-
});
-
}.bind(node, node.getPosition(), p);
-
ht.Default.startAnim(anim);
-
}
-
-
preP = {
-
point: tP,
-
distance: dis,
-
totalLength: indexLength
-
};
-
}
-
}
-
});
-
}(window, ht));
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