1 files changed, 122 insertions, 0 deletions
diff --git a/includes/js/dojox/gfx/arc.js b/includes/js/dojox/gfx/arc.js
new file mode 100644
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+++ b/includes/js/dojox/gfx/arc.js
@@ -0,0 +1,122 @@
+if(!dojo._hasResource["dojox.gfx.arc"]){ //_hasResource checks added by build. Do not use _hasResource directly in your code.
+dojo._hasResource["dojox.gfx.arc"] = true;
+dojo.provide("dojox.gfx.arc");
+
+dojo.require("dojox.gfx.matrix");
+
+(function(){
+	var m = dojox.gfx.matrix,
+		unitArcAsBezier = function(alpha){
+			// summary: return a start point, 1st and 2nd control points, and an end point of
+			//		a an arc, which is reflected on the x axis
+			// alpha: Number: angle in radians, the arc will be 2 * angle size
+			var cosa  = Math.cos(alpha), sina  = Math.sin(alpha),
+				p2 = {x: cosa + (4 / 3) * (1 - cosa), y: sina - (4 / 3) * cosa * (1 - cosa) / sina};
+			return {	// Object
+				s:  {x: cosa, y: -sina},
+				c1: {x: p2.x, y: -p2.y},
+				c2: p2,
+				e:  {x: cosa, y: sina}
+			};
+		},
+		twoPI = 2 * Math.PI, pi4 = Math.PI / 4, pi8 = Math.PI / 8, 
+		pi48 = pi4 + pi8, curvePI4 = unitArcAsBezier(pi8);
+
+	dojo.mixin(dojox.gfx.arc, {
+		unitArcAsBezier: unitArcAsBezier,
+		curvePI4: curvePI4,
+		arcAsBezier: function(last, rx, ry, xRotg, large, sweep, x, y){
+			// summary: calculates an arc as a series of Bezier curves
+			//	given the last point and a standard set of SVG arc parameters,
+			//	it returns an array of arrays of parameters to form a series of
+			//	absolute Bezier curves.
+			// last: Object: a point-like object as a start of the arc
+			// rx: Number: a horizontal radius for the virtual ellipse
+			// ry: Number: a vertical radius for the virtual ellipse
+			// xRotg: Number: a rotation of an x axis of the virtual ellipse in degrees
+			// large: Boolean: which part of the ellipse will be used (the larger arc if true)
+			// sweep: Boolean: direction of the arc (CW if true)
+			// x: Number: the x coordinate of the end point of the arc
+			// y: Number: the y coordinate of the end point of the arc
+			
+			// calculate parameters
+			large = Boolean(large);
+			sweep = Boolean(sweep);
+			var xRot = m._degToRad(xRotg),
+				rx2 = rx * rx, ry2 = ry * ry,
+				pa = m.multiplyPoint(
+					m.rotate(-xRot), 
+					{x: (last.x - x) / 2, y: (last.y - y) / 2}
+				),
+				pax2 = pa.x * pa.x, pay2 = pa.y * pa.y,
+				c1 = Math.sqrt((rx2 * ry2 - rx2 * pay2 - ry2 * pax2) / (rx2 * pay2 + ry2 * pax2));
+			if(isNaN(c1)){ c1 = 0; }
+			var	ca = {
+					x:  c1 * rx * pa.y / ry,
+					y: -c1 * ry * pa.x / rx
+				};
+			if(large == sweep){
+				ca = {x: -ca.x, y: -ca.y};
+			}
+			// the center
+			var c = m.multiplyPoint(
+				[
+					m.translate(
+						(last.x + x) / 2,
+						(last.y + y) / 2
+					),
+					m.rotate(xRot)
+				], 
+				ca
+			);
+			// calculate the elliptic transformation
+			var elliptic_transform = m.normalize([
+				m.translate(c.x, c.y),
+				m.rotate(xRot),
+				m.scale(rx, ry)
+			]);
+			// start, end, and size of our arc
+			var inversed = m.invert(elliptic_transform),
+				sp = m.multiplyPoint(inversed, last),
+				ep = m.multiplyPoint(inversed, x, y),
+				startAngle = Math.atan2(sp.y, sp.x),
+				endAngle   = Math.atan2(ep.y, ep.x),
+				theta = startAngle - endAngle;	// size of our arc in radians
+			if(sweep){ theta = -theta; }
+			if(theta < 0){
+				theta += twoPI;
+			}else if(theta > twoPI){
+				theta -= twoPI;
+			}
+							
+			// draw curve chunks
+			var alpha = pi8, curve = curvePI4, step  = sweep ? alpha : -alpha,
+				result = [];
+			for(var angle = theta; angle > 0; angle -= pi4){
+				if(angle < pi48){
+					alpha = angle / 2;
+					curve = unitArcAsBezier(alpha);
+					step  = sweep ? alpha : -alpha;
+					angle = 0;	// stop the loop
+				}
+				var c1, c2, e,
+					M = m.normalize([elliptic_transform, m.rotate(startAngle + step)]);
+				if(sweep){
+					c1 = m.multiplyPoint(M, curve.c1);
+					c2 = m.multiplyPoint(M, curve.c2);
+					e  = m.multiplyPoint(M, curve.e );
+				}else{
+					c1 = m.multiplyPoint(M, curve.c2);
+					c2 = m.multiplyPoint(M, curve.c1);
+					e  = m.multiplyPoint(M, curve.s );
+				}
+				// draw the curve
+				result.push([c1.x, c1.y, c2.x, c2.y, e.x, e.y]);
+				startAngle += 2 * step;
+			}
+			return result;	// Object
+		}
+	});
+})();
+
+}