NuclearDispersionSystem/ant-design-vue-jeecg/node_modules/@antv/g/lib/util/path.js
2023-09-14 14:47:11 +08:00

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var Util = require('./common');
var SPACES = "\t\n\x0B\f\r \xA0\u1680\u180E\u2000\u2001\u2002\u2003\u2004\u2005\u2006\u2007\u2008\u2009\u200A\u202F\u205F\u3000\u2028\u2029";
var PATH_COMMAND = new RegExp('([a-z])[' + SPACES + ',]*((-?\\d*\\.?\\d*(?:e[\\-+]?\\d+)?[' + SPACES + ']*,?[' + SPACES + ']*)+)', 'ig');
var PATH_VALUES = new RegExp('(-?\\d*\\.?\\d*(?:e[\\-+]?\\d+)?)[' + SPACES + ']*,?[' + SPACES + ']*', 'ig'); // Parses given path string into an array of arrays of path segments
var parsePathString = function parsePathString(pathString) {
if (!pathString) {
return null;
}
if (typeof pathString === typeof []) {
return pathString;
}
var paramCounts = {
a: 7,
c: 6,
o: 2,
h: 1,
l: 2,
m: 2,
r: 4,
q: 4,
s: 4,
t: 2,
v: 1,
u: 3,
z: 0
};
var data = [];
String(pathString).replace(PATH_COMMAND, function (a, b, c) {
var params = [];
var name = b.toLowerCase();
c.replace(PATH_VALUES, function (a, b) {
b && params.push(+b);
});
if (name === 'm' && params.length > 2) {
data.push([b].concat(params.splice(0, 2)));
name = 'l';
b = b === 'm' ? 'l' : 'L';
}
if (name === 'o' && params.length === 1) {
data.push([b, params[0]]);
}
if (name === 'r') {
data.push([b].concat(params));
} else {
while (params.length >= paramCounts[name]) {
data.push([b].concat(params.splice(0, paramCounts[name])));
if (!paramCounts[name]) {
break;
}
}
}
});
return data;
}; // http://schepers.cc/getting-to-the-point
var catmullRom2bezier = function catmullRom2bezier(crp, z) {
var d = [];
for (var i = 0, iLen = crp.length; iLen - 2 * !z > i; i += 2) {
var p = [{
x: +crp[i - 2],
y: +crp[i - 1]
}, {
x: +crp[i],
y: +crp[i + 1]
}, {
x: +crp[i + 2],
y: +crp[i + 3]
}, {
x: +crp[i + 4],
y: +crp[i + 5]
}];
if (z) {
if (!i) {
p[0] = {
x: +crp[iLen - 2],
y: +crp[iLen - 1]
};
} else if (iLen - 4 === i) {
p[3] = {
x: +crp[0],
y: +crp[1]
};
} else if (iLen - 2 === i) {
p[2] = {
x: +crp[0],
y: +crp[1]
};
p[3] = {
x: +crp[2],
y: +crp[3]
};
}
} else {
if (iLen - 4 === i) {
p[3] = p[2];
} else if (!i) {
p[0] = {
x: +crp[i],
y: +crp[i + 1]
};
}
}
d.push(['C', (-p[0].x + 6 * p[1].x + p[2].x) / 6, (-p[0].y + 6 * p[1].y + p[2].y) / 6, (p[1].x + 6 * p[2].x - p[3].x) / 6, (p[1].y + 6 * p[2].y - p[3].y) / 6, p[2].x, p[2].y]);
}
return d;
};
var ellipsePath = function ellipsePath(x, y, rx, ry, a) {
var res = [];
if (a === null && ry === null) {
ry = rx;
}
x = +x;
y = +y;
rx = +rx;
ry = +ry;
if (a !== null) {
var rad = Math.PI / 180;
var x1 = x + rx * Math.cos(-ry * rad);
var x2 = x + rx * Math.cos(-a * rad);
var y1 = y + rx * Math.sin(-ry * rad);
var y2 = y + rx * Math.sin(-a * rad);
res = [['M', x1, y1], ['A', rx, rx, 0, +(a - ry > 180), 0, x2, y2]];
} else {
res = [['M', x, y], ['m', 0, -ry], ['a', rx, ry, 0, 1, 1, 0, 2 * ry], ['a', rx, ry, 0, 1, 1, 0, -2 * ry], ['z']];
}
return res;
};
var pathToAbsolute = function pathToAbsolute(pathArray) {
pathArray = parsePathString(pathArray);
if (!pathArray || !pathArray.length) {
return [['M', 0, 0]];
}
var res = [];
var x = 0;
var y = 0;
var mx = 0;
var my = 0;
var start = 0;
var pa0;
var dots;
if (pathArray[0][0] === 'M') {
x = +pathArray[0][1];
y = +pathArray[0][2];
mx = x;
my = y;
start++;
res[0] = ['M', x, y];
}
var crz = pathArray.length === 3 && pathArray[0][0] === 'M' && pathArray[1][0].toUpperCase() === 'R' && pathArray[2][0].toUpperCase() === 'Z';
for (var r, pa, i = start, ii = pathArray.length; i < ii; i++) {
res.push(r = []);
pa = pathArray[i];
pa0 = pa[0];
if (pa0 !== pa0.toUpperCase()) {
r[0] = pa0.toUpperCase();
switch (r[0]) {
case 'A':
r[1] = pa[1];
r[2] = pa[2];
r[3] = pa[3];
r[4] = pa[4];
r[5] = pa[5];
r[6] = +pa[6] + x;
r[7] = +pa[7] + y;
break;
case 'V':
r[1] = +pa[1] + y;
break;
case 'H':
r[1] = +pa[1] + x;
break;
case 'R':
dots = [x, y].concat(pa.slice(1));
for (var j = 2, jj = dots.length; j < jj; j++) {
dots[j] = +dots[j] + x;
dots[++j] = +dots[j] + y;
}
res.pop();
res = res.concat(catmullRom2bezier(dots, crz));
break;
case 'O':
res.pop();
dots = ellipsePath(x, y, pa[1], pa[2]);
dots.push(dots[0]);
res = res.concat(dots);
break;
case 'U':
res.pop();
res = res.concat(ellipsePath(x, y, pa[1], pa[2], pa[3]));
r = ['U'].concat(res[res.length - 1].slice(-2));
break;
case 'M':
mx = +pa[1] + x;
my = +pa[2] + y;
break;
// for lint
default:
for (var _j = 1, _jj = pa.length; _j < _jj; _j++) {
r[_j] = +pa[_j] + (_j % 2 ? x : y);
}
}
} else if (pa0 === 'R') {
dots = [x, y].concat(pa.slice(1));
res.pop();
res = res.concat(catmullRom2bezier(dots, crz));
r = ['R'].concat(pa.slice(-2));
} else if (pa0 === 'O') {
res.pop();
dots = ellipsePath(x, y, pa[1], pa[2]);
dots.push(dots[0]);
res = res.concat(dots);
} else if (pa0 === 'U') {
res.pop();
res = res.concat(ellipsePath(x, y, pa[1], pa[2], pa[3]));
r = ['U'].concat(res[res.length - 1].slice(-2));
} else {
for (var k = 0, kk = pa.length; k < kk; k++) {
r[k] = pa[k];
}
}
pa0 = pa0.toUpperCase();
if (pa0 !== 'O') {
switch (r[0]) {
case 'Z':
x = +mx;
y = +my;
break;
case 'H':
x = r[1];
break;
case 'V':
y = r[1];
break;
case 'M':
mx = r[r.length - 2];
my = r[r.length - 1];
break;
// for lint
default:
x = r[r.length - 2];
y = r[r.length - 1];
}
}
}
return res;
};
var l2c = function l2c(x1, y1, x2, y2) {
return [x1, y1, x2, y2, x2, y2];
};
var q2c = function q2c(x1, y1, ax, ay, x2, y2) {
var _13 = 1 / 3;
var _23 = 2 / 3;
return [_13 * x1 + _23 * ax, _13 * y1 + _23 * ay, _13 * x2 + _23 * ax, _13 * y2 + _23 * ay, x2, y2];
};
var a2c = function a2c(x1, y1, rx, ry, angle, large_arc_flag, sweep_flag, x2, y2, recursive) {
// for more information of where this math came from visit:
// http://www.w3.org/TR/SVG11/implnote.html#ArcImplementationNotes
if (rx === ry) {
rx += 1;
}
var _120 = Math.PI * 120 / 180;
var rad = Math.PI / 180 * (+angle || 0);
var res = [];
var xy;
var f1;
var f2;
var cx;
var cy;
var rotate = function rotate(x, y, rad) {
var X = x * Math.cos(rad) - y * Math.sin(rad);
var Y = x * Math.sin(rad) + y * Math.cos(rad);
return {
x: X,
y: Y
};
};
if (!recursive) {
xy = rotate(x1, y1, -rad);
x1 = xy.x;
y1 = xy.y;
xy = rotate(x2, y2, -rad);
x2 = xy.x;
y2 = xy.y;
if (x1 === x2 && y1 === y2) {
// 若弧的起始点和终点重叠则错开一点
x2 += 1;
y2 += 1;
} // const cos = Math.cos(Math.PI / 180 * angle);
// const sin = Math.sin(Math.PI / 180 * angle);
var x = (x1 - x2) / 2;
var y = (y1 - y2) / 2;
var h = x * x / (rx * rx) + y * y / (ry * ry);
if (h > 1) {
h = Math.sqrt(h);
rx = h * rx;
ry = h * ry;
}
var rx2 = rx * rx;
var ry2 = ry * ry;
var k = (large_arc_flag === sweep_flag ? -1 : 1) * Math.sqrt(Math.abs((rx2 * ry2 - rx2 * y * y - ry2 * x * x) / (rx2 * y * y + ry2 * x * x)));
cx = k * rx * y / ry + (x1 + x2) / 2;
cy = k * -ry * x / rx + (y1 + y2) / 2;
f1 = Math.asin(((y1 - cy) / ry).toFixed(9));
f2 = Math.asin(((y2 - cy) / ry).toFixed(9));
f1 = x1 < cx ? Math.PI - f1 : f1;
f2 = x2 < cx ? Math.PI - f2 : f2;
f1 < 0 && (f1 = Math.PI * 2 + f1);
f2 < 0 && (f2 = Math.PI * 2 + f2);
if (sweep_flag && f1 > f2) {
f1 = f1 - Math.PI * 2;
}
if (!sweep_flag && f2 > f1) {
f2 = f2 - Math.PI * 2;
}
} else {
f1 = recursive[0];
f2 = recursive[1];
cx = recursive[2];
cy = recursive[3];
}
var df = f2 - f1;
if (Math.abs(df) > _120) {
var f2old = f2;
var x2old = x2;
var y2old = y2;
f2 = f1 + _120 * (sweep_flag && f2 > f1 ? 1 : -1);
x2 = cx + rx * Math.cos(f2);
y2 = cy + ry * Math.sin(f2);
res = a2c(x2, y2, rx, ry, angle, 0, sweep_flag, x2old, y2old, [f2, f2old, cx, cy]);
}
df = f2 - f1;
var c1 = Math.cos(f1);
var s1 = Math.sin(f1);
var c2 = Math.cos(f2);
var s2 = Math.sin(f2);
var t = Math.tan(df / 4);
var hx = 4 / 3 * rx * t;
var hy = 4 / 3 * ry * t;
var m1 = [x1, y1];
var m2 = [x1 + hx * s1, y1 - hy * c1];
var m3 = [x2 + hx * s2, y2 - hy * c2];
var m4 = [x2, y2];
m2[0] = 2 * m1[0] - m2[0];
m2[1] = 2 * m1[1] - m2[1];
if (recursive) {
return [m2, m3, m4].concat(res);
}
res = [m2, m3, m4].concat(res).join().split(',');
var newres = [];
for (var i = 0, ii = res.length; i < ii; i++) {
newres[i] = i % 2 ? rotate(res[i - 1], res[i], rad).y : rotate(res[i], res[i + 1], rad).x;
}
return newres;
};
var pathTocurve = function pathTocurve(path, path2) {
var p = pathToAbsolute(path);
var p2 = path2 && pathToAbsolute(path2);
var attrs = {
x: 0,
y: 0,
bx: 0,
by: 0,
X: 0,
Y: 0,
qx: null,
qy: null
};
var attrs2 = {
x: 0,
y: 0,
bx: 0,
by: 0,
X: 0,
Y: 0,
qx: null,
qy: null
};
var pcoms1 = []; // path commands of original path p
var pcoms2 = []; // path commands of original path p2
var pfirst = ''; // temporary holder for original path command
var pcom = ''; // holder for previous path command of original path
var ii;
var processPath = function processPath(path, d, pcom) {
var nx, ny;
if (!path) {
return ['C', d.x, d.y, d.x, d.y, d.x, d.y];
}
!(path[0] in {
T: 1,
Q: 1
}) && (d.qx = d.qy = null);
switch (path[0]) {
case 'M':
d.X = path[1];
d.Y = path[2];
break;
case 'A':
path = ['C'].concat(a2c.apply(0, [d.x, d.y].concat(path.slice(1))));
break;
case 'S':
if (pcom === 'C' || pcom === 'S') {
// In "S" case we have to take into account, if the previous command is C/S.
nx = d.x * 2 - d.bx; // And reflect the previous
ny = d.y * 2 - d.by; // command's control point relative to the current point.
} else {
// or some else or nothing
nx = d.x;
ny = d.y;
}
path = ['C', nx, ny].concat(path.slice(1));
break;
case 'T':
if (pcom === 'Q' || pcom === 'T') {
// In "T" case we have to take into account, if the previous command is Q/T.
d.qx = d.x * 2 - d.qx; // And make a reflection similar
d.qy = d.y * 2 - d.qy; // to case "S".
} else {
// or something else or nothing
d.qx = d.x;
d.qy = d.y;
}
path = ['C'].concat(q2c(d.x, d.y, d.qx, d.qy, path[1], path[2]));
break;
case 'Q':
d.qx = path[1];
d.qy = path[2];
path = ['C'].concat(q2c(d.x, d.y, path[1], path[2], path[3], path[4]));
break;
case 'L':
path = ['C'].concat(l2c(d.x, d.y, path[1], path[2]));
break;
case 'H':
path = ['C'].concat(l2c(d.x, d.y, path[1], d.y));
break;
case 'V':
path = ['C'].concat(l2c(d.x, d.y, d.x, path[1]));
break;
case 'Z':
path = ['C'].concat(l2c(d.x, d.y, d.X, d.Y));
break;
default:
break;
}
return path;
};
var fixArc = function fixArc(pp, i) {
if (pp[i].length > 7) {
pp[i].shift();
var pi = pp[i];
while (pi.length) {
pcoms1[i] = 'A'; // if created multiple C:s, their original seg is saved
p2 && (pcoms2[i] = 'A'); // the same as above
pp.splice(i++, 0, ['C'].concat(pi.splice(0, 6)));
}
pp.splice(i, 1);
ii = Math.max(p.length, p2 && p2.length || 0);
}
};
var fixM = function fixM(path1, path2, a1, a2, i) {
if (path1 && path2 && path1[i][0] === 'M' && path2[i][0] !== 'M') {
path2.splice(i, 0, ['M', a2.x, a2.y]);
a1.bx = 0;
a1.by = 0;
a1.x = path1[i][1];
a1.y = path1[i][2];
ii = Math.max(p.length, p2 && p2.length || 0);
}
};
ii = Math.max(p.length, p2 && p2.length || 0);
for (var i = 0; i < ii; i++) {
p[i] && (pfirst = p[i][0]); // save current path command
if (pfirst !== 'C') {
// C is not saved yet, because it may be result of conversion
pcoms1[i] = pfirst; // Save current path command
i && (pcom = pcoms1[i - 1]); // Get previous path command pcom
}
p[i] = processPath(p[i], attrs, pcom); // Previous path command is inputted to processPath
if (pcoms1[i] !== 'A' && pfirst === 'C') pcoms1[i] = 'C'; // A is the only command
// which may produce multiple C:s
// so we have to make sure that C is also C in original path
fixArc(p, i); // fixArc adds also the right amount of A:s to pcoms1
if (p2) {
// the same procedures is done to p2
p2[i] && (pfirst = p2[i][0]);
if (pfirst !== 'C') {
pcoms2[i] = pfirst;
i && (pcom = pcoms2[i - 1]);
}
p2[i] = processPath(p2[i], attrs2, pcom);
if (pcoms2[i] !== 'A' && pfirst === 'C') {
pcoms2[i] = 'C';
}
fixArc(p2, i);
}
fixM(p, p2, attrs, attrs2, i);
fixM(p2, p, attrs2, attrs, i);
var seg = p[i];
var seg2 = p2 && p2[i];
var seglen = seg.length;
var seg2len = p2 && seg2.length;
attrs.x = seg[seglen - 2];
attrs.y = seg[seglen - 1];
attrs.bx = parseFloat(seg[seglen - 4]) || attrs.x;
attrs.by = parseFloat(seg[seglen - 3]) || attrs.y;
attrs2.bx = p2 && (parseFloat(seg2[seg2len - 4]) || attrs2.x);
attrs2.by = p2 && (parseFloat(seg2[seg2len - 3]) || attrs2.y);
attrs2.x = p2 && seg2[seg2len - 2];
attrs2.y = p2 && seg2[seg2len - 1];
}
return p2 ? [p, p2] : p;
};
var p2s = /,?([a-z]),?/gi;
var parsePathArray = function parsePathArray(path) {
return path.join(',').replace(p2s, '$1');
};
var base3 = function base3(t, p1, p2, p3, p4) {
var t1 = -3 * p1 + 9 * p2 - 9 * p3 + 3 * p4;
var t2 = t * t1 + 6 * p1 - 12 * p2 + 6 * p3;
return t * t2 - 3 * p1 + 3 * p2;
};
var bezlen = function bezlen(x1, y1, x2, y2, x3, y3, x4, y4, z) {
if (z === null) {
z = 1;
}
z = z > 1 ? 1 : z < 0 ? 0 : z;
var z2 = z / 2;
var n = 12;
var Tvalues = [-0.1252, 0.1252, -0.3678, 0.3678, -0.5873, 0.5873, -0.7699, 0.7699, -0.9041, 0.9041, -0.9816, 0.9816];
var Cvalues = [0.2491, 0.2491, 0.2335, 0.2335, 0.2032, 0.2032, 0.1601, 0.1601, 0.1069, 0.1069, 0.0472, 0.0472];
var sum = 0;
for (var i = 0; i < n; i++) {
var ct = z2 * Tvalues[i] + z2;
var xbase = base3(ct, x1, x2, x3, x4);
var ybase = base3(ct, y1, y2, y3, y4);
var comb = xbase * xbase + ybase * ybase;
sum += Cvalues[i] * Math.sqrt(comb);
}
return z2 * sum;
};
var curveDim = function curveDim(x0, y0, x1, y1, x2, y2, x3, y3) {
var tvalues = [];
var bounds = [[], []];
var a;
var b;
var c;
var t;
for (var i = 0; i < 2; ++i) {
if (i === 0) {
b = 6 * x0 - 12 * x1 + 6 * x2;
a = -3 * x0 + 9 * x1 - 9 * x2 + 3 * x3;
c = 3 * x1 - 3 * x0;
} else {
b = 6 * y0 - 12 * y1 + 6 * y2;
a = -3 * y0 + 9 * y1 - 9 * y2 + 3 * y3;
c = 3 * y1 - 3 * y0;
}
if (Math.abs(a) < 1e-12) {
if (Math.abs(b) < 1e-12) {
continue;
}
t = -c / b;
if (t > 0 && t < 1) {
tvalues.push(t);
}
continue;
}
var b2ac = b * b - 4 * c * a;
var sqrtb2ac = Math.sqrt(b2ac);
if (b2ac < 0) {
continue;
}
var t1 = (-b + sqrtb2ac) / (2 * a);
if (t1 > 0 && t1 < 1) {
tvalues.push(t1);
}
var t2 = (-b - sqrtb2ac) / (2 * a);
if (t2 > 0 && t2 < 1) {
tvalues.push(t2);
}
}
var j = tvalues.length;
var jlen = j;
var mt;
while (j--) {
t = tvalues[j];
mt = 1 - t;
bounds[0][j] = mt * mt * mt * x0 + 3 * mt * mt * t * x1 + 3 * mt * t * t * x2 + t * t * t * x3;
bounds[1][j] = mt * mt * mt * y0 + 3 * mt * mt * t * y1 + 3 * mt * t * t * y2 + t * t * t * y3;
}
bounds[0][jlen] = x0;
bounds[1][jlen] = y0;
bounds[0][jlen + 1] = x3;
bounds[1][jlen + 1] = y3;
bounds[0].length = bounds[1].length = jlen + 2;
return {
min: {
x: Math.min.apply(0, bounds[0]),
y: Math.min.apply(0, bounds[1])
},
max: {
x: Math.max.apply(0, bounds[0]),
y: Math.max.apply(0, bounds[1])
}
};
};
var intersect = function intersect(x1, y1, x2, y2, x3, y3, x4, y4) {
if (Math.max(x1, x2) < Math.min(x3, x4) || Math.min(x1, x2) > Math.max(x3, x4) || Math.max(y1, y2) < Math.min(y3, y4) || Math.min(y1, y2) > Math.max(y3, y4)) {
return;
}
var nx = (x1 * y2 - y1 * x2) * (x3 - x4) - (x1 - x2) * (x3 * y4 - y3 * x4);
var ny = (x1 * y2 - y1 * x2) * (y3 - y4) - (y1 - y2) * (x3 * y4 - y3 * x4);
var denominator = (x1 - x2) * (y3 - y4) - (y1 - y2) * (x3 - x4);
if (!denominator) {
return;
}
var px = nx / denominator;
var py = ny / denominator;
var px2 = +px.toFixed(2);
var py2 = +py.toFixed(2);
if (px2 < +Math.min(x1, x2).toFixed(2) || px2 > +Math.max(x1, x2).toFixed(2) || px2 < +Math.min(x3, x4).toFixed(2) || px2 > +Math.max(x3, x4).toFixed(2) || py2 < +Math.min(y1, y2).toFixed(2) || py2 > +Math.max(y1, y2).toFixed(2) || py2 < +Math.min(y3, y4).toFixed(2) || py2 > +Math.max(y3, y4).toFixed(2)) {
return;
}
return {
x: px,
y: py
};
};
var isPointInsideBBox = function isPointInsideBBox(bbox, x, y) {
return x >= bbox.x && x <= bbox.x + bbox.width && y >= bbox.y && y <= bbox.y + bbox.height;
};
var rectPath = function rectPath(x, y, w, h, r) {
if (r) {
return [['M', +x + +r, y], ['l', w - r * 2, 0], ['a', r, r, 0, 0, 1, r, r], ['l', 0, h - r * 2], ['a', r, r, 0, 0, 1, -r, r], ['l', r * 2 - w, 0], ['a', r, r, 0, 0, 1, -r, -r], ['l', 0, r * 2 - h], ['a', r, r, 0, 0, 1, r, -r], ['z']];
}
var res = [['M', x, y], ['l', w, 0], ['l', 0, h], ['l', -w, 0], ['z']];
res.parsePathArray = parsePathArray;
return res;
};
var box = function box(x, y, width, height) {
if (x === null) {
x = y = width = height = 0;
}
if (y === null) {
y = x.y;
width = x.width;
height = x.height;
x = x.x;
}
return {
x: x,
y: y,
width: width,
w: width,
height: height,
h: height,
x2: x + width,
y2: y + height,
cx: x + width / 2,
cy: y + height / 2,
r1: Math.min(width, height) / 2,
r2: Math.max(width, height) / 2,
r0: Math.sqrt(width * width + height * height) / 2,
path: rectPath(x, y, width, height),
vb: [x, y, width, height].join(' ')
};
};
var isBBoxIntersect = function isBBoxIntersect(bbox1, bbox2) {
bbox1 = box(bbox1);
bbox2 = box(bbox2);
return isPointInsideBBox(bbox2, bbox1.x, bbox1.y) || isPointInsideBBox(bbox2, bbox1.x2, bbox1.y) || isPointInsideBBox(bbox2, bbox1.x, bbox1.y2) || isPointInsideBBox(bbox2, bbox1.x2, bbox1.y2) || isPointInsideBBox(bbox1, bbox2.x, bbox2.y) || isPointInsideBBox(bbox1, bbox2.x2, bbox2.y) || isPointInsideBBox(bbox1, bbox2.x, bbox2.y2) || isPointInsideBBox(bbox1, bbox2.x2, bbox2.y2) || (bbox1.x < bbox2.x2 && bbox1.x > bbox2.x || bbox2.x < bbox1.x2 && bbox2.x > bbox1.x) && (bbox1.y < bbox2.y2 && bbox1.y > bbox2.y || bbox2.y < bbox1.y2 && bbox2.y > bbox1.y);
};
var bezierBBox = function bezierBBox(p1x, p1y, c1x, c1y, c2x, c2y, p2x, p2y) {
if (!Util.isArray(p1x)) {
p1x = [p1x, p1y, c1x, c1y, c2x, c2y, p2x, p2y];
}
var bbox = curveDim.apply(null, p1x);
return box(bbox.min.x, bbox.min.y, bbox.max.x - bbox.min.x, bbox.max.y - bbox.min.y);
};
var findDotsAtSegment = function findDotsAtSegment(p1x, p1y, c1x, c1y, c2x, c2y, p2x, p2y, t) {
var t1 = 1 - t;
var t13 = Math.pow(t1, 3);
var t12 = Math.pow(t1, 2);
var t2 = t * t;
var t3 = t2 * t;
var x = t13 * p1x + t12 * 3 * t * c1x + t1 * 3 * t * t * c2x + t3 * p2x;
var y = t13 * p1y + t12 * 3 * t * c1y + t1 * 3 * t * t * c2y + t3 * p2y;
var mx = p1x + 2 * t * (c1x - p1x) + t2 * (c2x - 2 * c1x + p1x);
var my = p1y + 2 * t * (c1y - p1y) + t2 * (c2y - 2 * c1y + p1y);
var nx = c1x + 2 * t * (c2x - c1x) + t2 * (p2x - 2 * c2x + c1x);
var ny = c1y + 2 * t * (c2y - c1y) + t2 * (p2y - 2 * c2y + c1y);
var ax = t1 * p1x + t * c1x;
var ay = t1 * p1y + t * c1y;
var cx = t1 * c2x + t * p2x;
var cy = t1 * c2y + t * p2y;
var alpha = 90 - Math.atan2(mx - nx, my - ny) * 180 / Math.PI; // (mx > nx || my < ny) && (alpha += 180);
return {
x: x,
y: y,
m: {
x: mx,
y: my
},
n: {
x: nx,
y: ny
},
start: {
x: ax,
y: ay
},
end: {
x: cx,
y: cy
},
alpha: alpha
};
};
var interHelper = function interHelper(bez1, bez2, justCount) {
var bbox1 = bezierBBox(bez1);
var bbox2 = bezierBBox(bez2);
if (!isBBoxIntersect(bbox1, bbox2)) {
return justCount ? 0 : [];
}
var l1 = bezlen.apply(0, bez1);
var l2 = bezlen.apply(0, bez2);
var n1 = ~~(l1 / 8);
var n2 = ~~(l2 / 8);
var dots1 = [];
var dots2 = [];
var xy = {};
var res = justCount ? 0 : [];
for (var i = 0; i < n1 + 1; i++) {
var d = findDotsAtSegment.apply(0, bez1.concat(i / n1));
dots1.push({
x: d.x,
y: d.y,
t: i / n1
});
}
for (var _i = 0; _i < n2 + 1; _i++) {
var _d = findDotsAtSegment.apply(0, bez2.concat(_i / n2));
dots2.push({
x: _d.x,
y: _d.y,
t: _i / n2
});
}
for (var _i2 = 0; _i2 < n1; _i2++) {
for (var j = 0; j < n2; j++) {
var di = dots1[_i2];
var di1 = dots1[_i2 + 1];
var dj = dots2[j];
var dj1 = dots2[j + 1];
var ci = Math.abs(di1.x - di.x) < 0.001 ? 'y' : 'x';
var cj = Math.abs(dj1.x - dj.x) < 0.001 ? 'y' : 'x';
var is = intersect(di.x, di.y, di1.x, di1.y, dj.x, dj.y, dj1.x, dj1.y);
if (is) {
if (xy[is.x.toFixed(4)] === is.y.toFixed(4)) {
continue;
}
xy[is.x.toFixed(4)] = is.y.toFixed(4);
var t1 = di.t + Math.abs((is[ci] - di[ci]) / (di1[ci] - di[ci])) * (di1.t - di.t);
var t2 = dj.t + Math.abs((is[cj] - dj[cj]) / (dj1[cj] - dj[cj])) * (dj1.t - dj.t);
if (t1 >= 0 && t1 <= 1 && t2 >= 0 && t2 <= 1) {
if (justCount) {
res++;
} else {
res.push({
x: is.x,
y: is.y,
t1: t1,
t2: t2
});
}
}
}
}
}
return res;
};
var interPathHelper = function interPathHelper(path1, path2, justCount) {
path1 = pathTocurve(path1);
path2 = pathTocurve(path2);
var x1;
var y1;
var x2;
var y2;
var x1m;
var y1m;
var x2m;
var y2m;
var bez1;
var bez2;
var res = justCount ? 0 : [];
for (var i = 0, ii = path1.length; i < ii; i++) {
var pi = path1[i];
if (pi[0] === 'M') {
x1 = x1m = pi[1];
y1 = y1m = pi[2];
} else {
if (pi[0] === 'C') {
bez1 = [x1, y1].concat(pi.slice(1));
x1 = bez1[6];
y1 = bez1[7];
} else {
bez1 = [x1, y1, x1, y1, x1m, y1m, x1m, y1m];
x1 = x1m;
y1 = y1m;
}
for (var j = 0, jj = path2.length; j < jj; j++) {
var pj = path2[j];
if (pj[0] === 'M') {
x2 = x2m = pj[1];
y2 = y2m = pj[2];
} else {
if (pj[0] === 'C') {
bez2 = [x2, y2].concat(pj.slice(1));
x2 = bez2[6];
y2 = bez2[7];
} else {
bez2 = [x2, y2, x2, y2, x2m, y2m, x2m, y2m];
x2 = x2m;
y2 = y2m;
}
var intr = interHelper(bez1, bez2, justCount);
if (justCount) {
res += intr;
} else {
for (var k = 0, kk = intr.length; k < kk; k++) {
intr[k].segment1 = i;
intr[k].segment2 = j;
intr[k].bez1 = bez1;
intr[k].bez2 = bez2;
}
res = res.concat(intr);
}
}
}
}
}
return res;
};
var pathIntersection = function pathIntersection(path1, path2) {
return interPathHelper(path1, path2);
};
function decasteljau(points, t) {
var left = [];
var right = [];
function recurse(points, t) {
if (points.length === 1) {
left.push(points[0]);
right.push(points[0]);
} else {
var middlePoints = [];
for (var i = 0; i < points.length - 1; i++) {
if (i === 0) {
left.push(points[0]);
}
if (i === points.length - 2) {
right.push(points[i + 1]);
}
middlePoints[i] = [(1 - t) * points[i][0] + t * points[i + 1][0], (1 - t) * points[i][1] + t * points[i + 1][1]];
}
recurse(middlePoints, t);
}
}
if (points.length) {
recurse(points, t);
}
return {
left: left,
right: right.reverse()
};
}
function splitCurve(start, end, count) {
var points = [[start[1], start[2]]];
count = count || 2;
var segments = [];
if (end[0] === 'A') {
points.push(end[6]);
points.push(end[7]);
} else if (end[0] === 'C') {
points.push([end[1], end[2]]);
points.push([end[3], end[4]]);
points.push([end[5], end[6]]);
} else if (end[0] === 'S' || end[0] === 'Q') {
points.push([end[1], end[2]]);
points.push([end[3], end[4]]);
} else {
points.push([end[1], end[2]]);
}
var leftSegments = points;
var t = 1 / count;
for (var i = 0; i < count - 1; i++) {
var rt = t / (1 - t * i);
var split = decasteljau(leftSegments, rt);
segments.push(split.left);
leftSegments = split.right;
}
segments.push(leftSegments);
var result = segments.map(function (segment) {
var cmd = [];
if (segment.length === 4) {
cmd.push('C');
cmd = cmd.concat(segment[2]);
}
if (segment.length >= 3) {
if (segment.length === 3) {
cmd.push('Q');
}
cmd = cmd.concat(segment[1]);
}
if (segment.length === 2) {
cmd.push('L');
}
cmd = cmd.concat(segment[segment.length - 1]);
return cmd;
});
return result;
}
var splitSegment = function splitSegment(start, end, count) {
if (count === 1) {
return [[].concat(start)];
}
var segments = [];
if (end[0] === 'L' || end[0] === 'C' || end[0] === 'Q') {
segments = segments.concat(splitCurve(start, end, count));
} else {
var temp = [].concat(start);
if (temp[0] === 'M') {
temp[0] = 'L';
}
for (var i = 0; i <= count - 1; i++) {
segments.push(temp);
}
}
return segments;
};
var fillPath = function fillPath(source, target) {
if (source.length === 1) {
return source;
}
var sourceLen = source.length - 1;
var targetLen = target.length - 1;
var ratio = sourceLen / targetLen;
var segmentsToFill = [];
if (source.length === 1 && source[0][0] === 'M') {
for (var i = 0; i < targetLen - sourceLen; i++) {
source.push(source[0]);
}
return source;
}
for (var _i3 = 0; _i3 < targetLen; _i3++) {
var index = Math.floor(ratio * _i3);
segmentsToFill[index] = (segmentsToFill[index] || 0) + 1;
}
var filled = segmentsToFill.reduce(function (filled, count, i) {
if (i === sourceLen) {
return filled.concat(source[sourceLen]);
}
return filled.concat(splitSegment(source[i], source[i + 1], count));
}, []);
filled.unshift(source[0]);
if (target[targetLen] === 'Z' || target[targetLen] === 'z') {
filled.push('Z');
}
return filled;
};
var isEqual = function isEqual(obj1, obj2) {
if (obj1.length !== obj2.length) {
return false;
}
var result = true;
Util.each(obj1, function (item, i) {
if (item !== obj2[i]) {
result = false;
return false;
}
});
return result;
};
function getMinDiff(del, add, modify) {
var type = null;
var min = modify;
if (add < min) {
min = add;
type = 'add';
}
if (del < min) {
min = del;
type = 'del';
}
return {
type: type,
min: min
};
}
/*
* https://en.wikipedia.org/wiki/Levenshtein_distance
* 计算两条path的编辑距离
*/
var levenshteinDistance = function levenshteinDistance(source, target) {
var sourceLen = source.length;
var targetLen = target.length;
var sourceSegment, targetSegment;
var temp = 0;
if (sourceLen === 0 || targetLen === 0) {
return null;
}
var dist = [];
for (var i = 0; i <= sourceLen; i++) {
dist[i] = [];
dist[i][0] = {
min: i
};
}
for (var j = 0; j <= targetLen; j++) {
dist[0][j] = {
min: j
};
}
for (var _i4 = 1; _i4 <= sourceLen; _i4++) {
sourceSegment = source[_i4 - 1];
for (var _j2 = 1; _j2 <= targetLen; _j2++) {
targetSegment = target[_j2 - 1];
if (isEqual(sourceSegment, targetSegment)) {
temp = 0;
} else {
temp = 1;
}
var del = dist[_i4 - 1][_j2].min + 1;
var add = dist[_i4][_j2 - 1].min + 1;
var modify = dist[_i4 - 1][_j2 - 1].min + temp;
dist[_i4][_j2] = getMinDiff(del, add, modify);
}
}
return dist;
};
var fillPathByDiff = function fillPathByDiff(source, target) {
var diffMatrix = levenshteinDistance(source, target);
var sourceLen = source.length;
var targetLen = target.length;
var changes = [];
var index = 1;
var minPos = 1; // 如果source和target不是完全不相等
if (diffMatrix[sourceLen][targetLen] !== sourceLen) {
// 获取从source到target所需改动
for (var i = 1; i <= sourceLen; i++) {
var min = diffMatrix[i][i].min;
minPos = i;
for (var j = index; j <= targetLen; j++) {
if (diffMatrix[i][j].min < min) {
min = diffMatrix[i][j].min;
minPos = j;
}
}
index = minPos;
if (diffMatrix[i][index].type) {
changes.push({
index: i - 1,
type: diffMatrix[i][index].type
});
}
} // 对source进行增删path
for (var _i5 = changes.length - 1; _i5 >= 0; _i5--) {
index = changes[_i5].index;
if (changes[_i5].type === 'add') {
source.splice(index, 0, [].concat(source[index]));
} else {
source.splice(index, 1);
}
}
} // source尾部补齐
sourceLen = source.length;
var diff = targetLen - sourceLen;
if (sourceLen < targetLen) {
for (var _i6 = 0; _i6 < diff; _i6++) {
if (source[sourceLen - 1][0] === 'z' || source[sourceLen - 1][0] === 'Z') {
source.splice(sourceLen - 2, 0, source[sourceLen - 2]);
} else {
source.push(source[sourceLen - 1]);
}
sourceLen += 1;
}
}
return source;
}; // 将两个点均分成count个点
function _splitPoints(points, former, count) {
var result = [].concat(points);
var index;
var t = 1 / (count + 1);
var formerEnd = _getSegmentPoints(former)[0];
for (var i = 1; i <= count; i++) {
t *= i;
index = Math.floor(points.length * t);
if (index === 0) {
result.unshift([formerEnd[0] * t + points[index][0] * (1 - t), formerEnd[1] * t + points[index][1] * (1 - t)]);
} else {
result.splice(index, 0, [formerEnd[0] * t + points[index][0] * (1 - t), formerEnd[1] * t + points[index][1] * (1 - t)]);
}
}
return result;
}
/*
* 抽取pathSegment中的关键点
* M,L,A,Q,H,V一个端点
* Q, S抽取一个端点一个控制点
* C抽取一个端点两个控制点
*/
function _getSegmentPoints(segment) {
var points = [];
switch (segment[0]) {
case 'M':
points.push([segment[1], segment[2]]);
break;
case 'L':
points.push([segment[1], segment[2]]);
break;
case 'A':
points.push([segment[6], segment[7]]);
break;
case 'Q':
points.push([segment[3], segment[4]]);
points.push([segment[1], segment[2]]);
break;
case 'T':
points.push([segment[1], segment[2]]);
break;
case 'C':
points.push([segment[5], segment[6]]);
points.push([segment[1], segment[2]]);
points.push([segment[3], segment[4]]);
break;
case 'S':
points.push([segment[3], segment[4]]);
points.push([segment[1], segment[2]]);
break;
case 'H':
points.push([segment[1], segment[1]]);
break;
case 'V':
points.push([segment[1], segment[1]]);
break;
default:
}
return points;
}
var formatPath = function formatPath(fromPath, toPath) {
if (fromPath.length <= 1) {
return fromPath;
}
var points;
for (var i = 0; i < toPath.length; i++) {
if (fromPath[i][0] !== toPath[i][0]) {
// 获取fromPath的pathSegment的端点根据toPath的指令对其改造
points = _getSegmentPoints(fromPath[i]);
switch (toPath[i][0]) {
case 'M':
fromPath[i] = ['M'].concat(points[0]);
break;
case 'L':
fromPath[i] = ['L'].concat(points[0]);
break;
case 'A':
fromPath[i] = [].concat(toPath[i]);
fromPath[i][6] = points[0][0];
fromPath[i][7] = points[0][1];
break;
case 'Q':
if (points.length < 2) {
if (i > 0) {
points = _splitPoints(points, fromPath[i - 1], 1);
} else {
fromPath[i] = toPath[i];
break;
}
}
fromPath[i] = ['Q'].concat(points.reduce(function (arr, i) {
return arr.concat(i);
}, []));
break;
case 'T':
fromPath[i] = ['T'].concat(points[0]);
break;
case 'C':
if (points.length < 3) {
if (i > 0) {
points = _splitPoints(points, fromPath[i - 1], 2);
} else {
fromPath[i] = toPath[i];
break;
}
}
fromPath[i] = ['C'].concat(points.reduce(function (arr, i) {
return arr.concat(i);
}, []));
break;
case 'S':
if (points.length < 2) {
if (i > 0) {
points = _splitPoints(points, fromPath[i - 1], 1);
} else {
fromPath[i] = toPath[i];
break;
}
}
fromPath[i] = ['S'].concat(points.reduce(function (arr, i) {
return arr.concat(i);
}, []));
break;
default:
fromPath[i] = toPath[i];
}
}
}
return fromPath;
};
module.exports = {
parsePathString: parsePathString,
parsePathArray: parsePathArray,
pathTocurve: pathTocurve,
pathToAbsolute: pathToAbsolute,
catmullRomToBezier: catmullRom2bezier,
rectPath: rectPath,
fillPath: fillPath,
fillPathByDiff: fillPathByDiff,
formatPath: formatPath,
intersection: pathIntersection
};