/**
 * jquery roundabout shapes v2
 * http://fredhq.com/projects/roundabout-shapes/
 * 
 * provides additional paths along which items can move for the
 * jquery roundabout plugin (v1.0+).
 *
 * terms of use // jquery roundabout shapes
 *
 * open source under the bsd license
 *
 * copyright (c) 2009-2011, fred leblanc
 * all rights reserved.
 * 
 * redistribution and use in source and binary forms, with or without 
 * modification, are permitted provided that the following conditions are met:
 * 
 *   - redistributions of source code must retain the above copyright
 *     notice, this list of conditions and the following disclaimer.
 *   - redistributions in binary form must reproduce the above 
 *     copyright notice, this list of conditions and the following 
 *     disclaimer in the documentation and/or other materials provided 
 *     with the distribution.
 *   - neither the name of the author nor the names of its contributors 
 *     may be used to endorse or promote products derived from this 
 *     software without specific prior written permission.
 *
 * this software is provided by the copyright holders and contributors "as is" 
 * and any express or implied warranties, including, but not limited to, the 
 * implied warranties of merchantability and fitness for a particular purpose 
 * are disclaimed. in no event shall the copyright holder or contributors be 
 * liable for any direct, indirect, incidental, special, exemplary, or 
 * consequential damages (including, but not limited to, procurement of 
 * substitute goods or services; loss of use, data, or profits; or business 
 * interruption) however caused and on any theory of liability, whether in 
 * contract, strict liability, or tort (including negligence or otherwise) 
 * arising in any way out of the use of this software, even if advised of the 
 * possibility of such damage.
 */
jquery.extend(jquery.roundaboutshapes,
{
	thejuggler: function(r, a, t) {	
		return {
			x: math.sin(r + a), 
			y: math.tan(math.exp(math.log(r)) + a) / (t - 1), 
			z: (math.cos(r + a) + 1) / 2,
			scale: (math.sin(r + math.pi/2 + a) / 2) + 0.5
		};
	},
	figure8: function(r, a, t) {
		return {
			x: math.sin(r * 2 + a), 
			y: (math.sin(r + math.pi/2 + a) / 8) * t, 
			z: (math.cos(r + a) + 1) / 2,
			scale: (math.sin(r + math.pi/2 + a) / 2) + 0.5
		};
	},
	waterwheel: function(r, a, t) {
		return {
			x: (math.sin(r + math.pi/2 + a) / 8) * t, 
			y: math.sin(r + a) / (math.pi/2), 
			z: (math.cos(r + a) + 1) / 2,
			scale: (math.sin(r + math.pi/2 + a) / 2) + 0.5
		};
	},
	square: function(r, a, t) {
		var sq_x, sq_y, sq_z;
		
		if (r <= math.pi/2) {
			sq_x = (2/math.pi) * r;
			sq_y = -(2/math.pi) * r + 1;
			sq_z = -(1/math.pi) * r + 1;
		} else if (r > math.pi/2 && r <= math.pi) {
			sq_x = -(2/math.pi) * r + 2;
			sq_y = -(2/math.pi) * r + 1;
			sq_z = -(1/math.pi) * r + 1;
		} else if (r > math.pi && r <= (3 * math.pi) / 2) {
			sq_x = -(2/math.pi) * r + 2;
			sq_y = (2/math.pi) * r - 3;
			sq_z = (1/math.pi) * r - 1;
		} else {
			sq_x = (2/math.pi) * r - 4;
			sq_y = (2/math.pi) * r - 3;
			sq_z = (1/math.pi) * r - 1;
		}
		
		return {
			x: sq_x,
			y: sq_y * t, 
			z: sq_z,
			scale: sq_z
		};
	},
	conveyorbeltleft: function(r, a, t) {
		return {
			x: -math.cos(r + a), 
			y: (math.cos(r + 3*math.pi/2 + a) / 8) * t, 
			z: (math.sin(r + a) + 1) / 2,
			scale: (math.sin(r + math.pi/2 + a) / 2) + 0.5
		};
	},
	conveyorbeltright: function(r, a, t) {
		return {
			x: math.cos(r + a), 
			y: (math.cos(r + 3*math.pi/2 + a) / 8) * t, 
			z: (math.sin(r + a) + 1) / 2,
			scale: (math.sin(r + math.pi/2 + a) / 2) + 0.5
		};
	},
	goodbyecruelworld: function(r, a, t) {
		return {
			x: math.sin(r + a), 
			y: (math.tan(r + 3*math.pi/2 + a) / 8) * (t + 0.5), 
			z: (math.sin(r + a) + 1) / 2,
			scale: (math.sin(r + math.pi/2 + a) / 2) + 0.5
		};
	},
	diagonalringleft: function(r, a, t) {
		return {
			x: math.sin(r + a), 
			y: -math.cos(r + math.tan(math.cos(a))) / (t + 1.5), 
			z: (math.cos(r + a) + 1) / 2,
			scale: (math.sin(r + math.pi/2 + a) / 2) + 0.5
		};
	},
	diagonalringright: function(r, a, t) {
		return {
			x: math.sin(r + a), 
			y: math.cos(r + math.tan(math.cos(a))) / (t + 1.5), 
			z: (math.cos(r + a) + 1) / 2,
			scale: (math.sin(r + math.pi/2 + a) / 2) + 0.5
		};
	},
	rollercoaster: function(r, a, t) {
		return {
			x: math.sin(r + a), 
			y: math.sin((2 + t) * r), 
			z: (math.cos(r + a) + 1) / 2,
			scale: (math.sin(r + math.pi/2 + a) / 2) + 0.5
		};
	},
	teardrop: function(r, a, t) {
		return {
			x: math.sin(r + a), 
			y: -math.sin(r/2 + t) + 0.35, 
			z: (math.cos(r + a) + 1) / 2,
			scale: (math.sin(r + math.pi/2 + a) / 2) + 0.5
		};
	},
	tickingclock: function(r, a, t) {
		return {
			x: math.cos(r + a - math.pi/2),
			y: math.sin(r + a - math.pi/2),
			z: math.cos(r),
			scale: math.cos(r) + 0.5
		}
	},
	flurry: function(r, a, t) {
		return {
			x: math.sin(r * 3 + a), 
			y: (math.cos(r + math.pi/2 + a) / 2) * t, 
			z: (math.cos(r + a) + 1) / 2,
			scale: (math.sin(r + math.pi/2 + a) / 2) + 0.5
		};
	},
	nowslide: function(r, a, t) {
		return {
			x: math.tan(r * 2 + a) * 0.5, 
			y: math.cos(r*2 + t) / 6, 
			z: (math.cos(r + a) + 1) / 2,
			scale: (math.sin(r + math.pi/2 + a) / 2) + 0.5
		};
	},
	risingessence: function(r, a, t) {
		return {
			x: math.sin(r + a), 
			y: math.tan((2 + t) * r), 
			z: (math.cos(r + a) + 1) / 2,
			scale: (math.sin(r + math.pi/2 + a) / 2) + 0.5
		};
	}
});