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- if (!dojo._hasResource["dojox.math.curves"]) { // _hasResource checks added by
- // build. Do not use
- // _hasResource directly in your
- // code.
- dojo._hasResource["dojox.math.curves"] = true;
- dojo.provide("dojox.math.curves");
- dojo.mixin(dojox.math.curves, {
- Line : function(start, end) {
- this.start = start;
- this.end = end;
- this.dimensions = start.length;
- for (var i = 0; i < start.length; i++) {
- start[i] = Number(start[i]);
- }
- for (var i = 0; i < end.length; i++) {
- end[i] = Number(end[i]);
- }
- this.getValue = function(n) {
- var retVal = new Array(this.dimensions);
- for (var i = 0; i < this.dimensions; i++) {
- retVal[i] = ((this.end[i] - this.start[i]) * n)
- + this.start[i];
- }
- return retVal;
- };
- return this;
- },
- Bezier : function(pnts) {
- this.getValue = function(step) {
- if (step >= 1) {
- return this.p[this.p.length - 1];
- }
- if (step <= 0) {
- return this.p[0];
- }
- var retVal = new Array(this.p[0].length);
- for (var k = 0; j < this.p[0].length; k++) {
- retVal[k] = 0;
- }
- for (var j = 0; j < this.p[0].length; j++) {
- var C = 0;
- var D = 0;
- for (var i = 0; i < this.p.length; i++) {
- C += this.p[i][j] * this.p[this.p.length - 1][0]
- * dojox.math.bernstein(step, this.p.length, i);
- }
- for (var l = 0; l < this.p.length; l++) {
- D += this.p[this.p.length - 1][0]
- * dojox.math.bernstein(step, this.p.length, l);
- }
- retVal[j] = C / D;
- }
- return retVal;
- };
- this.p = pnts;
- return this;
- },
- CatmullRom : function(pnts, c) {
- this.getValue = function(step) {
- var percent = step * (this.p.length - 1);
- var node = Math.floor(percent);
- var progress = percent - node;
- var i0 = node - 1;
- if (i0 < 0) {
- i0 = 0;
- }
- var i = node;
- var i1 = node + 1;
- if (i1 >= this.p.length) {
- i1 = this.p.length - 1;
- }
- var i2 = node + 2;
- if (i2 >= this.p.length) {
- i2 = this.p.length - 1;
- }
- var u = progress;
- var u2 = progress * progress;
- var u3 = progress * progress * progress;
- var retVal = new Array(this.p[0].length);
- for (var k = 0; k < this.p[0].length; k++) {
- var x1 = (-this.c * this.p[i0][k])
- + ((2 - this.c) * this.p[i][k])
- + ((this.c - 2) * this.p[i1][k])
- + (this.c * this.p[i2][k]);
- var x2 = (2 * this.c * this.p[i0][k])
- + ((this.c - 3) * this.p[i][k])
- + ((3 - 2 * this.c) * this.p[i1][k])
- + (-this.c * this.p[i2][k]);
- var x3 = (-this.c * this.p[i0][k])
- + (this.c * this.p[i1][k]);
- var x4 = this.p[i][k];
- retVal[k] = x1 * u3 + x2 * u2 + x3 * u + x4;
- }
- return retVal;
- };
- if (!c) {
- this.c = 0.7;
- } else {
- this.c = c;
- }
- this.p = pnts;
- return this;
- },
- Arc : function(start, end, ccw) {
- function translate(a, b) {
- var c = new Array(a.length);
- for (var i = 0; i < a.length; i++) {
- c[i] = a[i] + b[i];
- }
- return c;
- }
- function invert(a) {
- var b = new Array(a.length);
- for (var i = 0; i < a.length; i++) {
- b[i] = -a[i];
- }
- return b;
- }
- var center = dojox.math.midpoint(start, end);
- var sides = translate(invert(center), start);
- var rad = Math.sqrt(Math.pow(sides[0], 2) + Math.pow(sides[1], 2));
- var theta = dojox.math.radiansToDegrees(Math.atan(sides[1]
- / sides[0]));
- if (sides[0] < 0) {
- theta -= 90;
- } else {
- theta += 90;
- }
- dojox.math.curves.CenteredArc.call(this, center, rad, theta, theta
- + (ccw ? -180 : 180));
- },
- CenteredArc : function(center, radius, start, end) {
- this.center = center;
- this.radius = radius;
- this.start = start || 0;
- this.end = end;
- this.getValue = function(n) {
- var retVal = new Array(2);
- var theta = dojox.math.degreesToRadians(this.start
- + ((this.end - this.start) * n));
- retVal[0] = this.center[0] + this.radius * Math.sin(theta);
- retVal[1] = this.center[1] - this.radius * Math.cos(theta);
- return retVal;
- };
- return this;
- },
- Circle : function(center, radius) {
- dojox.math.curves.CenteredArc.call(this, center, radius, 0, 360);
- return this;
- },
- Path : function() {
- var curves = [];
- var weights = [];
- var ranges = [];
- var totalWeight = 0;
- this.add = function(curve, weight) {
- if (weight < 0) {
- console
- .error("dojox.math.curves.Path.add: weight cannot be less than 0");
- }
- curves.push(curve);
- weights.push(weight);
- totalWeight += weight;
- computeRanges();
- };
- this.remove = function(curve) {
- for (var i = 0; i < curves.length; i++) {
- if (curves[i] == curve) {
- curves.splice(i, 1);
- totalWeight -= weights.splice(i, 1)[0];
- break;
- }
- }
- computeRanges();
- };
- this.removeAll = function() {
- curves = [];
- weights = [];
- totalWeight = 0;
- };
- this.getValue = function(n) {
- var found = false, value = 0;
- for (var i = 0; i < ranges.length; i++) {
- var r = ranges[i];
- if (n >= r[0] && n < r[1]) {
- var subN = (n - r[0]) / r[2];
- value = curves[i].getValue(subN);
- found = true;
- break;
- }
- }
- if (!found) {
- value = curves[curves.length - 1].getValue(1);
- }
- for (var j = 0; j < i; j++) {
- value = dojox.math.points.translate(value, curves[j]
- .getValue(1));
- }
- return value;
- };
- function computeRanges() {
- var start = 0;
- for (var i = 0; i < weights.length; i++) {
- var end = start + weights[i] / totalWeight;
- var len = end - start;
- ranges[i] = [start, end, len];
- start = end;
- }
- }
- return this;
- }
- });
- }
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