varQ = new Array(); var MTrans = new Array(); // transformation matrix var MQube = new Array(); // position information of qube varI = 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;
vari = 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) { varA = new Array(); varB = new Array();
for (vari = 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 (vari = 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];
}
// multiplies two matrices
function MMulti(M1, M2) { var M = [[],[],[],[]]; vari = 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(); vari = 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(); vari = 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 = [[],[],[],[]]; vari = 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) { vara = 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) { vara = 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) { vara = 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(); vari = 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); vari = 8;
for (; i > -1; i--) { Q[i].V = VMulti(MTrans, Q[i].V);
}
DrawQube();
Testing.LoopCount++;
Loop();
}
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