Subversion Repositories Applications.papyrus

/*
        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;
}};