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// 3D Cube Rotation
// http://www.speich.net/computer/moztesting/3d.htm
// Created by Simon Speich

var Q = new Array();
var MTrans = new Array();	// transformation matrix
var MQube = new Array();	// position information of qube
var I = new Array();			// entity matrix
var Origin = new Object();
var Testing = new Object();
var LoopTimer;

var DisplArea = new Object();
DisplArea.Width = 300;
DisplArea.Height = 300;

function DrawLine(From, To) {
	var x1 = From.V[0];
	var x2 = To.V[0];
	var y1 = From.V[1];
	var y2 = To.V[1];
	var dx = Math.abs(x2 - x1);
	var dy = Math.abs(y2 - y1);
	var x = x1;
	var y = y1;
	var IncX1, IncY1;
	var IncX2, IncY2;	
	var Den;
  var Num;
  var NumAdd;
	var NumPix;

	if (x2 >= x1) {	IncX1 = 1; IncX2 = 1;	}
	else { IncX1 = -1; IncX2 = -1; }
	if (y2 >= y1)	{	IncY1 = 1; IncY2 = 1; }
	else { IncY1 = -1; IncY2 = -1; }
	if (dx >= dy) {
		IncX1 = 0;
  	IncY2 = 0;
  	Den = dx;
  	Num = dx / 2;
  	NumAdd = dy;
		NumPix = dx;
	}
	else {
		IncX2 = 0;
	  IncY1 = 0;
  	Den = dy;
  	Num = dy / 2;
  	NumAdd = dx;
  	NumPix = dy;
	}

	NumPix = Math.round(Q.LastPx + NumPix);

	var i = Q.LastPx;
	for (; i < NumPix; i++) {
		Num += NumAdd;
	  if (Num >= Den) {
    	Num -= Den;
    	x += IncX1;
    	y += IncY1;
	  }
  	x += IncX2;
  	y += IncY2;
	}
	Q.LastPx = NumPix;
}

function CalcCross(V0, V1) {
	var Cross = new Array();
	Cross[0] = V0[1]*V1[2] - V0[2]*V1[1];
	Cross[1] = V0[2]*V1[0] - V0[0]*V1[2];
	Cross[2] = V0[0]*V1[1] - V0[1]*V1[0];
	return Cross;
}

function CalcNormal(V0, V1, V2) {
	var A = new Array(); 	var B = new Array(); 
	for (var i = 0; i < 3; i++) {
		A[i] = V0[i] - V1[i];
		B[i] = V2[i] - V1[i];
	}
	A = CalcCross(A, B);
	var Length = Math.sqrt(A[0]*A[0] + A[1]*A[1] + A[2]*A[2]); 
	for (var i = 0; i < 3; i++) A[i] = A[i] / Length;
	A[3] = 1;
	return A;
}

function CreateP(X,Y,Z) {
	this.V = [X,Y,Z,1];
}

// mulitplies two matrices
function MMulti(M1, M2) {
	var M = [[],[],[],[]];
	var i = 0;
	var j = 0;
	for (; i < 4; i++) {
		j = 0;
		for (; j < 4; j++) M[i][j] = M1[i][0] * M2[0][j] + M1[i][1] * M2[1][j] + M1[i][2] * M2[2][j] + M1[i][3] * M2[3][j];
	}
	return M;
}

//multiplies matrix with vector
function VMulti(M, V) {
	var Vect = new Array();
	var i = 0;
	for (;i < 4; i++) Vect[i] = M[i][0] * V[0] + M[i][1] * V[1] + M[i][2] * V[2] + M[i][3] * V[3];
	return Vect;
}

function VMulti2(M, V) {
	var Vect = new Array();
	var i = 0;
	for (;i < 3; i++) Vect[i] = M[i][0] * V[0] + M[i][1] * V[1] + M[i][2] * V[2];
	return Vect;
}

// add to matrices
function MAdd(M1, M2) {
	var M = [[],[],[],[]];
	var i = 0;
	var j = 0;
	for (; i < 4; i++) {
		j = 0;
		for (; j < 4; j++) M[i][j] = M1[i][j] + M2[i][j];
	}
	return M;
}

function Translate(M, Dx, Dy, Dz) {
	var T = [
	[1,0,0,Dx],
	[0,1,0,Dy],
	[0,0,1,Dz],
	[0,0,0,1]
	];
	return MMulti(T, M);
}

function RotateX(M, Phi) {
	var a = Phi;
	a *= Math.PI / 180;
	var Cos = Math.cos(a);
	var Sin = Math.sin(a);
	var R = [
	[1,0,0,0],
	[0,Cos,-Sin,0],
	[0,Sin,Cos,0],
	[0,0,0,1]
	];
	return MMulti(R, M);
}

function RotateY(M, Phi) {
	var a = Phi;
	a *= Math.PI / 180;
	var Cos = Math.cos(a);
	var Sin = Math.sin(a);
	var R = [
	[Cos,0,Sin,0],
	[0,1,0,0],
	[-Sin,0,Cos,0],
	[0,0,0,1]
	];
	return MMulti(R, M);
}

function RotateZ(M, Phi) {
	var a = Phi;
	a *= Math.PI / 180;
	var Cos = Math.cos(a);
	var Sin = Math.sin(a);
	var R = [
	[Cos,-Sin,0,0],
	[Sin,Cos,0,0],
	[0,0,1,0],   
	[0,0,0,1]
	];
	return MMulti(R, M);
}

function DrawQube() {
	// calc current normals
	var CurN = new Array();
	var i = 5;
	Q.LastPx = 0;
	for (; i > -1; i--) CurN[i] = VMulti2(MQube, Q.Normal[i]);
	if (CurN[0][2] < 0) {
		if (!Q.Line[0]) { DrawLine(Q[0], Q[1]); Q.Line[0] = true; };
		if (!Q.Line[1]) { DrawLine(Q[1], Q[2]); Q.Line[1] = true; };
		if (!Q.Line[2]) { DrawLine(Q[2], Q[3]); Q.Line[2] = true; };
		if (!Q.Line[3]) { DrawLine(Q[3], Q[0]); Q.Line[3] = true; };
	}
	if (CurN[1][2] < 0) {
		if (!Q.Line[2]) { DrawLine(Q[3], Q[2]); Q.Line[2] = true; };
		if (!Q.Line[9]) { DrawLine(Q[2], Q[6]); Q.Line[9] = true; };
		if (!Q.Line[6]) { DrawLine(Q[6], Q[7]); Q.Line[6] = true; };
		if (!Q.Line[10]) { DrawLine(Q[7], Q[3]); Q.Line[10] = true; };
	}
	if (CurN[2][2] < 0) {
		if (!Q.Line[4]) { DrawLine(Q[4], Q[5]); Q.Line[4] = true; };
		if (!Q.Line[5]) { DrawLine(Q[5], Q[6]); Q.Line[5] = true; };
		if (!Q.Line[6]) { DrawLine(Q[6], Q[7]); Q.Line[6] = true; };
		if (!Q.Line[7]) { DrawLine(Q[7], Q[4]); Q.Line[7] = true; };
	}
	if (CurN[3][2] < 0) {
		if (!Q.Line[4]) { DrawLine(Q[4], Q[5]); Q.Line[4] = true; };
		if (!Q.Line[8]) { DrawLine(Q[5], Q[1]); Q.Line[8] = true; };
		if (!Q.Line[0]) { DrawLine(Q[1], Q[0]); Q.Line[0] = true; };
		if (!Q.Line[11]) { DrawLine(Q[0], Q[4]); Q.Line[11] = true; };
	}
	if (CurN[4][2] < 0) {
		if (!Q.Line[11]) { DrawLine(Q[4], Q[0]); Q.Line[11] = true; };
		if (!Q.Line[3]) { DrawLine(Q[0], Q[3]); Q.Line[3] = true; };
		if (!Q.Line[10]) { DrawLine(Q[3], Q[7]); Q.Line[10] = true; };
		if (!Q.Line[7]) { DrawLine(Q[7], Q[4]); Q.Line[7] = true; };
	}
	if (CurN[5][2] < 0) {
		if (!Q.Line[8]) { DrawLine(Q[1], Q[5]); Q.Line[8] = true; };
		if (!Q.Line[5]) { DrawLine(Q[5], Q[6]); Q.Line[5] = true; };
		if (!Q.Line[9]) { DrawLine(Q[6], Q[2]); Q.Line[9] = true; };
		if (!Q.Line[1]) { DrawLine(Q[2], Q[1]); Q.Line[1] = true; };
	}
	Q.Line = [false,false,false,false,false,false,false,false,false,false,false,false];
	Q.LastPx = 0;
}

function Loop() {
	if (Testing.LoopCount > Testing.LoopMax) return;
	var TestingStr = String(Testing.LoopCount);
	while (TestingStr.length < 3) TestingStr = "0" + TestingStr;
	MTrans = Translate(I, -Q[8].V[0], -Q[8].V[1], -Q[8].V[2]);
	MTrans = RotateX(MTrans, 1);
	MTrans = RotateY(MTrans, 3);
	MTrans = RotateZ(MTrans, 5);
	MTrans = Translate(MTrans, Q[8].V[0], Q[8].V[1], Q[8].V[2]);
	MQube = MMulti(MTrans, MQube);
	var i = 8;
	for (; i > -1; i--) {
		Q[i].V = VMulti(MTrans, Q[i].V);
	}
	DrawQube();
	Testing.LoopCount++;
	Loop();
}

function Init(CubeSize) {
	// init/reset vars
	Origin.V = [150,150,20,1];
	Testing.LoopCount = 0;
	Testing.LoopMax = 50;
	Testing.TimeMax = 0;
	Testing.TimeAvg = 0;
	Testing.TimeMin = 0;
	Testing.TimeTemp = 0;
	Testing.TimeTotal = 0;
	Testing.Init = false;

	// transformation matrix
	MTrans = [
	[1,0,0,0],
	[0,1,0,0],
	[0,0,1,0],
	[0,0,0,1]
	];
	
	// position information of qube
	MQube = [
	[1,0,0,0],
	[0,1,0,0],
	[0,0,1,0],
	[0,0,0,1]
	];
	
	// entity matrix
	I = [
	[1,0,0,0],
	[0,1,0,0],
	[0,0,1,0],
	[0,0,0,1]
	];
	
	// create qube
	Q[0] = new CreateP(-CubeSize,-CubeSize, CubeSize);
	Q[1] = new CreateP(-CubeSize, CubeSize, CubeSize);
	Q[2] = new CreateP( CubeSize, CubeSize, CubeSize);
	Q[3] = new CreateP( CubeSize,-CubeSize, CubeSize);
	Q[4] = new CreateP(-CubeSize,-CubeSize,-CubeSize);
	Q[5] = new CreateP(-CubeSize, CubeSize,-CubeSize);
	Q[6] = new CreateP( CubeSize, CubeSize,-CubeSize);
	Q[7] = new CreateP( CubeSize,-CubeSize,-CubeSize);
	
	// center of gravity
	Q[8] = new CreateP(0, 0, 0);
	
	// anti-clockwise edge check
	Q.Edge = [[0,1,2],[3,2,6],[7,6,5],[4,5,1],[4,0,3],[1,5,6]];
	
	// calculate squad normals
	Q.Normal = new Array();
	for (var i = 0; i < Q.Edge.length; i++) Q.Normal[i] = CalcNormal(Q[Q.Edge[i][0]].V, Q[Q.Edge[i][1]].V, Q[Q.Edge[i][2]].V);
	
	// line drawn ?
	Q.Line = [false,false,false,false,false,false,false,false,false,false,false,false];
	
	// create line pixels
	Q.NumPx = 9 * 2 * CubeSize;
	for (var i = 0; i < Q.NumPx; i++) new CreateP(0,0,0);
	
	MTrans = Translate(MTrans, Origin.V[0], Origin.V[1], Origin.V[2]);
	MQube = MMulti(MTrans, MQube);

	var i = 0;
	for (; i < 9; i++) {
		Q[i].V = VMulti(MTrans, Q[i].V);
	}
	DrawQube();
	Testing.Init = true;
	Loop();
}

window.onload = function(){ startTest("dromaeo-3d-cube", '979cd0f1');

test("Rotate 3D Cube", function(){
	Init(20);
});

endTest(); };
</script>
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