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{%norun}
program project1;
{$mode delphi}
uses
SysUtils, Math;
type
TVector3 = record
public
// constructor
// constructor create(const x: Single; const y: Single; const z: Single);
// overloaded operators
class operator negative(const a : TVector3) : TVector3; inline;
class operator add(const a, b : TVector3) : TVector3; inline;
class operator subtract(const a, b : TVector3) : TVector3; inline;
class operator multiply(const a, b : TVector3) : TVector3; inline;
class operator multiply(const a : single; b : TVector3) : TVector3; inline;
class operator multiply(const a : TVector3; b : single) : TVector3; inline;
class operator equal(const a, b : TVector3) : boolean; inline;
// methods
function normalize : TVector3; inline; // normalized vector
function length : single; inline; // length of a vector
function dot(const v : TVector3) : single; inline; // dot product
function cross(const v : TVector3) : TVector3; inline; // cross product
// variant record part
case Boolean of
TRUE: (x : single;
y : single;
z : single; );
FALSE: (e : array[0..2] of single; );
end;
// constants
const
X_AXIS : TVector3 = (x: 1.0; y: 1.0; z: 1.0);
Y_AXIS : TVector3 = (x: 0.0; y: 1.0; z: 0.0);
Z_AXIS : TVector3 = (x: 0.0; y: 0.0; z: 1.0);
ZERO : TVector3 = (x: 0.0; y: 0.0; z: 0.0);
ONE : TVector3 = (x: 1.0; y: 1.0; z: 1.0);
JITTERED_X_AXIS : TVector3 = (x: 1.0; y: 0.0072; z: 0.0034);
JITTERED_Y_AXIS : TVector3 = (x: 0.0072; y: 1.0; z: 0.0034);
JITTERED_Z_AXIS : TVector3 = (x: 0.0034; y: 0.0072; z: 1.0);
// constructor
{
constructor TVector3.create(const x: Single; const y: Single; const z: Single);
begin
self.x := x;
self.y := y;
self.z := z;
end;
}
// overloaded operators
class operator TVector3.negative(const a : TVector3) : TVector3;
begin
Result.x := -a.x;
Result.y := -a.y;
Result.z := -a.z;
end;
class operator TVector3.add(const a, b : TVector3) : TVector3;
begin
Result.x := a.x + b.x;
Result.y := a.y + b.y;
Result.z := a.z + b.z;
end;
class operator TVector3.subtract(const a, b : TVector3) : TVector3;
begin
Result.x := a.x - b.x;
Result.y := a.y - b.y;
Result.z := a.z - b.z;
end;
class operator TVector3.multiply(const a, b : TVector3) : TVector3;
begin
Result.x := a.x * b.x;
Result.y := a.y * b.y;
Result.z := a.z * b.z;
end;
class operator TVector3.multiply(const a : single; b : TVector3) : TVector3;
begin
Result.x := a * b.x;
Result.y := a * b.y;
Result.z := a * b.z;
end;
class operator TVector3.multiply(const a : TVector3; b : single) : TVector3;
begin
Result.x := a.x * b;
Result.y := a.y * b;
Result.z := a.z * b;
end;
class operator TVector3.equal(const a, b : TVector3) : boolean;
begin
Result := (a.x = b.x) and (a.y = b.y) and (a.z = b.z);
end;
// methods
function TVector3.normalize : TVector3;
var
invLen : single;
begin
invLen := 1.0 / sqrt(x * x + y * y + z * z);
Result.x := x * invLen;
Result.y := y * invLen;
Result.z := z * invLen;
end;
function TVector3.length : single;
begin
Result := sqrt(x * x + y * y + z * z);
end;
function TVector3.dot(const v : TVector3) : single;
begin
Result := x * v.x + y * v.y + z * v.z;
end;
function TVector3.cross(const v : TVector3) : TVector3;
begin
Result.x := y * v.z - z * v.y;
Result.y := z * v.x - x * v.z;
Result.z := x * v.y - y * v.x;
end;
// functions
function init(vx, vy, vz : single) : TVector3;
begin
Result.x := vx;
Result.y := vy;
Result.z := vz;
end;
function unitize(const v : TVector3) : TVector3;
var
invLen : single;
begin
invLen := 1.0 / sqrt(v.x * v.x + v.y * v.y + v.z * v.z);
Result.x := v.x * invLen;
Result.y := v.y * invLen;
Result.z := v.z * invLen;
end;
function dot(const a, b : TVector3) : single;
begin
Result := a.x * b.x + a.y * b.y + a.z * b.z;
end;
function cross(const a, b : TVector3) : TVector3;
begin
Result.x := a.y * b.z - a.z * b.y;
Result.y := a.z * b.x - a.x * b.z;
Result.z := a.x * b.y - a.y * b.x;
end;
// output functions
function str(v : TVector3) : string; overload;
begin
Result := '[ '
+ FloatToStr(v.x) + ', '
+ FloatToStr(v.y) + ', '
+ FloatToStr(v.z)
+ '] ';
end;
begin
end.
|
