| /* |
| Copyright (c) 2004-2006, The Dojo Foundation |
| All Rights Reserved. |
| |
| Licensed under the Academic Free License version 2.1 or above OR the |
| modified BSD license. For more information on Dojo licensing, see: |
| |
| http://dojotoolkit.org/community/licensing.shtml |
| */ |
| |
| |
| |
| dojo.provide("dojo.math.curves"); |
| dojo.require("dojo.math"); |
| dojo.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] * dojo.math.bernstein(step, this.p.length, i); |
| } |
| for (var l = 0; l < this.p.length; l++) { |
| D += this.p[this.p.length - 1][0] * dojo.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) { |
| var center = dojo.math.points.midpoint(start, end); |
| var sides = dojo.math.points.translate(dojo.math.points.invert(center), start); |
| var rad = Math.sqrt(Math.pow(sides[0], 2) + Math.pow(sides[1], 2)); |
| var theta = dojo.math.radToDeg(Math.atan(sides[1] / sides[0])); |
| if (sides[0] < 0) { |
| theta -= 90; |
| } else { |
| theta += 90; |
| } |
| dojo.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 = dojo.math.degToRad(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) { |
| dojo.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) { |
| dojo.raise("dojo.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 = dojo.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; |
| }}; |
| |