Rotate a 3D Point around another 3D Point

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Code:

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;

 

 

 

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;

 

 

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