Mega Code Archive
How to Rotate a 3D Point around another 3D Point
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Title: How to Rotate a 3D Point around another 3D Point
const
PIDiv180 = 0.017453292519943295769236907684886;
procedure Rotate(Rx, Ry, Rz: Double; x, y, z, ox, oy, oz: Double;
var Nx, Ny, Nz: Double);
begin
Rotate(Rx, Ry, Rz, x - ox, y - oy, z - oz, Nx, Ny, Nz);
Nx := Nx + ox;
Ny := Ny + oy;
Nz := Nz + oz;
end;
(* End Of *)
procedure Rotate(Rx, Ry, Rz: Double; x, y, z: Double; var Nx, Ny, Nz: Double);
var
TempX: Double;
TempY: Double;
TempZ: Double;
SinX: Double;
SinY: Double;
SinZ: Double;
CosX: Double;
CosY: Double;
CosZ: Double;
XRadAng: Double;
YRadAng: Double;
ZRadAng: Double;
begin
XRadAng := Rx * PIDiv180;
YRadAng := Ry * PIDiv180;
ZRadAng := Rz * PIDiv180;
SinX := Sin(XRadAng);
SinY := Sin(YRadAng);
SinZ := Sin(ZRadAng);
CosX := Cos(XRadAng);
CosY := Cos(YRadAng);
CosZ := Cos(ZRadAng);
Tempy := y * CosY - z * SinY;
Tempz := y * SinY + z * CosY;
Tempx := x * CosX - Tempz * SinX;
Nz := x * SinX + Tempz * CosX;
Nx := Tempx * CosZ - TempY * SinZ;
Ny := Tempx * SinZ + TempY * CosZ;
end;
(* End Of *)
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