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LUX.D4.pas
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LUX.D4.pas
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unit LUX.D4;
interface //#################################################################### ■
uses System.Math.Vectors,
LUX, LUX.D1, LUX.D2, LUX.D3;
type //$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$【型】
//$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$【レコード】
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TByte4D
TByte4D = record
private
///// アクセス
function Gets( const X_:Integer ) :Byte; inline;
procedure Sets( const X_:Integer; const V_:Byte ); inline;
public
constructor Create( const V_:Byte ); overload;
constructor Create( const X_,Y_,Z_,W_:Byte ); overload;
///// プロパティ
property _s[ const X_:Integer ] :Byte read Gets write Sets; default;
case Byte of
0:( _ :array [ 1..4 ] of Byte; );
1:( X :Byte;
Y :Byte;
Z :Byte;
W :Byte; );
2:( _1 :Byte;
_2 :Byte;
_3 :Byte;
_4 :Byte; );
end;
TInt08u4D = TByte4D; TInt8u4D = TInt08u4D;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TWord4D
TWord4D = record
private
///// アクセス
function Gets( const X_:Integer ) :Word; inline;
procedure Sets( const X_:Integer; const V_:Word ); inline;
public
constructor Create( const V_:Word ); overload;
constructor Create( const X_,Y_,Z_,W_:Word ); overload;
///// プロパティ
property _s[ const X_:Integer ] :Word read Gets write Sets; default;
case Word of
0:( _ :array [ 1..4 ] of Word; );
1:( X :Word;
Y :Word;
Z :Word;
W :Word; );
2:( _1 :Word;
_2 :Word;
_3 :Word;
_4 :Word; );
end;
TInt16u4D = TWord4D;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TInteger4D
TInteger4D = record
private
///// アクセス
function Gets( const X_:Integer ) :Integer; inline;
procedure Sets( const X_:Integer; const V_:Integer ); inline;
public
constructor Create( const V_:Integer ); overload;
constructor Create( const X_,Y_,Z_,W_:Integer ); overload;
///// プロパティ
property _s[ const X_:Integer ] :Integer read Gets write Sets; default;
case Byte of
0:( _ :array [ 1..4 ] of Integer; );
1:( X :Integer;
Y :Integer;
Z :Integer;
W :Integer; );
2:( _1 :Integer;
_2 :Integer;
_3 :Integer;
_4 :Integer; );
end;
TInt32s4D = TInteger4D;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TCardinal4D
TCardinal4D = record
private
///// アクセス
function Gets( const X_:Integer ) :Cardinal; inline;
procedure Sets( const X_:Integer; const V_:Cardinal ); inline;
public
constructor Create( const V_:Cardinal ); overload;
constructor Create( const X_,Y_,Z_,W_:Cardinal ); overload;
///// プロパティ
property _s[ const X_:Integer ] :Cardinal read Gets write Sets; default;
case Byte of
0:( _ :array [ 1..4 ] of Cardinal; );
1:( X :Cardinal;
Y :Cardinal;
Z :Cardinal;
W :Cardinal; );
2:( _1 :Cardinal;
_2 :Cardinal;
_3 :Cardinal;
_4 :Cardinal; );
end;
TInt32u4D = TCardinal4D;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TInt64u4D
TInt64u4D = record
private
///// アクセス
function Gets( const X_:Integer ) :Int64u; inline;
procedure Sets( const X_:Integer; const V_:Int64u ); inline;
public
constructor Create( const V_:Int64u ); overload;
constructor Create( const X_,Y_,Z_,W_:Int64u ); overload;
///// プロパティ
property _s[ const X_:Integer ] :Int64u read Gets write Sets; default;
case Byte of
0:( _ :array [ 1..4 ] of Int64u; );
1:( X :Int64u;
Y :Int64u;
Z :Int64u;
W :Int64u; );
2:( _1 :Int64u;
_2 :Int64u;
_3 :Int64u;
_4 :Int64u; );
end;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TInt64s4D
TInt64s4D = record
private
///// アクセス
function Gets( const X_:Integer ) :Int64s; inline;
procedure Sets( const X_:Integer; const V_:Int64s ); inline;
public
constructor Create( const V_:Int64s ); overload;
constructor Create( const X_,Y_,Z_,W_:Int64s ); overload;
///// プロパティ
property _s[ const X_:Integer ] :Int64s read Gets write Sets; default;
case Byte of
0:( _ :array [ 1..4 ] of Int64s; );
1:( X :Int64s;
Y :Int64s;
Z :Int64s;
W :Int64s; );
2:( _1 :Int64s;
_2 :Int64s;
_3 :Int64s;
_4 :Int64s; );
end;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TSingle4D
TSingle4D = record
private
///// アクセス
function Gets( const X_:Integer ) :Single; inline;
procedure Sets( const X_:Integer; const V_:Single ); inline;
function GetSiz2 :Single; inline;
procedure SetSiz2( const Siz2_:Single ); inline;
function GetSize :Single; inline;
procedure SetSize( const Size_:Single ); inline;
function GetUnitor :TSingle4D; inline;
procedure SetUnitor( const Unitor_:TSingle4D ); inline;
public
constructor Create( const V_:Single ); overload;
constructor Create( const X_,Y_,Z_,W_:Single ); overload;
constructor Create( const P_:TSingle3D; const W_:Single ); overload;
///// プロパティ
property _s[ const X_:Integer ] :Single read Gets write Sets ; default;
property Siz2 :Single read GetSiz2 write SetSiz2 ;
property Size :Single read GetSize write SetSize ;
property Unitor :TSingle4D read GetUnitor write SetUnitor;
///// 演算子
class operator Negative( const V_:TSingle4D ) :TSingle4D;
class operator Positive( const V_:TSingle4D ) :TSingle4D;
class operator Add( const A_,B_:TSingle4D ) :TSingle4D;
class operator Subtract( const A_,B_:TSingle4D ) :TSingle4D;
class operator Multiply( const A_:TSingle4D; const B_:Single ) :TSingle4D;
class operator Multiply( const A_:Single; const B_:TSingle4D ) :TSingle4D;
class operator Divide( const A_:TSingle4D; const B_:Single ) :TSingle4D;
///// 型変換
class operator Implicit( const V_:TSingle3D ) :TSingle4D;
class operator Explicit( const V_:TSingle4D ) :TSingle3D;
class operator Implicit( const V_:TPoint3D ) :TSingle4D;
class operator Explicit( const V_:TSingle4D ) :TPoint3D;
class operator Implicit( const V_:TVector3D ) :TSingle4D;
class operator Explicit( const V_:TSingle4D ) :TVector3D;
///// 定数
class function IdentityX :TSingle4D; inline; static;
class function IdentityY :TSingle4D; inline; static;
class function IdentityZ :TSingle4D; inline; static;
class function IdentityW :TSingle4D; inline; static;
///// メソッド
function VectorTo( const P_:TSingle4D ) :TSingle4D;
function UnitorTo( const P_:TSingle4D ) :TSingle4D;
function DistanTo( const P_:TSingle4D ) :Single;
function ToCart :TSingle3D;
class function RandG :TSingle4D; static;
class function RandBS1 :TSingle4D; static;
class function RandBS2 :TSingle4D; static;
class function RandBS4 :TSingle4D; static;
case Integer of
0:( _ :array [ 1..4 ] of Single );
1:( X :Single;
Y :Single;
Z :Single;
W :Single; );
2:( _1 :Single;
_2 :Single;
_3 :Single;
_4 :Single; );
end;
TFlo32s4D = TSingle4D;
TSinglePos4D = TSingle4D;
TSingleVec4D = TSingle4D;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TDouble4D
TDouble4D = record
private
///// アクセス
function Gets( const X_:Integer ) :Double; inline;
procedure Sets( const X_:Integer; const V_:Double ); inline;
function GetSiz2 :Double; inline;
procedure SetSiz2( const Siz2_:Double ); inline;
function GetSize :Double; inline;
procedure SetSize( const Size_:Double ); inline;
function GetUnitor :TDouble4D; inline;
procedure SetUnitor( const Unitor_:TDouble4D ); inline;
public
constructor Create( const V_:Double ); overload;
constructor Create( const X_,Y_,Z_,W_:Double ); overload;
constructor Create( const P_:TDouble3D; const W_:Double ); overload;
///// プロパティ
property _s[ const X_:Integer ] :Double read Gets write Sets ; default;
property Siz2 :Double read GetSiz2 write SetSiz2 ;
property Size :Double read GetSize write SetSize ;
property Unitor :TDouble4D read GetUnitor write SetUnitor;
///// 演算子
class operator Negative( const V_:TDouble4D ) :TDouble4D;
class operator Positive( const V_:TDouble4D ) :TDouble4D;
class operator Add( const A_,B_:TDouble4D ) :TDouble4D;
class operator Subtract( const A_,B_:TDouble4D ) :TDouble4D;
class operator Multiply( const A_:TDouble4D; const B_:Double ) :TDouble4D;
class operator Multiply( const A_:Double; const B_:TDouble4D ) :TDouble4D;
class operator Divide( const A_:TDouble4D; const B_:Double ) :TDouble4D;
///// 型変換
class operator Implicit( const V_:TDouble3D ) :TDouble4D;
class operator Explicit( const V_:TDouble4D ) :TDouble3D;
class operator Implicit( const V_:TPoint3D ) :TDouble4D;
class operator Explicit( const V_:TDouble4D ) :TPoint3D;
class operator Implicit( const V_:TVector3D ) :TDouble4D;
class operator Explicit( const V_:TDouble4D ) :TVector3D;
///// 定数
class function IdentityX :TDouble4D; inline; static;
class function IdentityY :TDouble4D; inline; static;
class function IdentityZ :TDouble4D; inline; static;
class function IdentityW :TDouble4D; inline; static;
///// メソッド
function VectorTo( const P_:TDouble4D ) :TDouble4D;
function UnitorTo( const P_:TDouble4D ) :TDouble4D;
function DistanTo( const P_:TDouble4D ) :Double;
function ToCart :TDouble3D;
class function RandG :TDouble4D; static;
class function RandBS1 :TDouble4D; static;
class function RandBS2 :TDouble4D; static;
class function RandBS4 :TDouble4D; static;
case Integer of
0:( _ :array [ 1..4 ] of Double );
1:( X :Double;
Y :Double;
Z :Double;
W :Double; );
2:( _1 :Double;
_2 :Double;
_3 :Double;
_4 :Double; );
end;
TFlo64s4D = TDouble4D;
TDoublePos4D = TDouble4D;
TDoubleVec4D = TDouble4D;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TdSingle4D
TdSingle4D = record
private
///// アクセス
function Gets( const X_:Integer ) :TdSingle; inline;
procedure Sets( const X_:Integer; const V_:TdSingle ); inline;
function Geto :TSingle4D; inline;
procedure Seto( const o_:TSingle4D ); inline;
function Getd :TSingle4D; inline;
procedure Setd( const d_:TSingle4D ); inline;
function GetSiz2 :TdSingle; inline;
procedure SetSiz2( const Siz2_:TdSingle ); inline;
function GetSize :TdSingle; inline;
procedure SetSize( const Size_:TdSingle ); inline;
function GetUnitor :TdSingle4D; inline;
procedure SetUnitor( const Unitor_:TdSingle4D ); inline;
public
constructor Create( const X_,Y_,Z_,W_:TdSingle );
///// プロパティ
property _s[ const X_:Integer ] :TdSingle read Gets write Sets ; default;
property o :TSingle4D read Geto write Seto ;
property d :TSingle4D read Getd write Setd ;
property Siz2 :TdSingle read GetSiz2 write SetSiz2 ;
property Size :TdSingle read GetSize write SetSize ;
property Unitor :TdSingle4D read GetUnitor write SetUnitor;
///// 演算子
class operator Negative( const V_:TdSingle4D ) :TdSingle4D; inline;
class operator Positive( const V_:TdSingle4D ) :TdSingle4D; inline;
class operator Add( const A_,B_:TdSingle4D ) :TdSingle4D; inline;
class operator Subtract( const A_,B_:TdSingle4D ) :TdSingle4D; inline;
class operator Multiply( const A_:TdSingle4D; const B_:TdSingle ) :TdSingle4D; inline;
class operator Multiply( const A_:TdSingle; const B_:TdSingle4D ) :TdSingle4D; inline;
class operator Divide( const A_:TdSingle4D; const B_:TdSingle ) :TdSingle4D; inline;
///// 型変換
class operator Implicit( const V_:TSingle4D ) :TdSingle4D;
class operator Implicit( const V_:TdSingle4D ) :TSingle4D;
case Integer of
0:( _ :array [ 1..4 ] of TdSingle );
1:( X :TdSingle;
Y :TdSingle;
Z :TdSingle;
W :TdSingle; );
2:( _1 :TdSingle;
_2 :TdSingle;
_3 :TdSingle;
_4 :TdSingle; );
end;
TdFlo32s4D = TdSingle4D;
TdSinglePos4D = TdSingle4D;
TdSingleVec4D = TdSingle4D;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TdDouble4D
TdDouble4D = record
private
///// アクセス
function Gets( const X_:Integer ) :TdDouble; inline;
procedure Sets( const X_:Integer; const V_:TdDouble ); inline;
function Geto :TDouble4D; inline;
procedure Seto( const o_:TDouble4D ); inline;
function Getd :TDouble4D; inline;
procedure Setd( const d_:TDouble4D ); inline;
function GetSiz2 :TdDouble; inline;
procedure SetSiz2( const Siz2_:TdDouble ); inline;
function GetSize :TdDouble; inline;
procedure SetSize( const Size_:TdDouble ); inline;
function GetUnitor :TdDouble4D; inline;
procedure SetUnitor( const Unitor_:TdDouble4D ); inline;
public
constructor Create( const X_,Y_,Z_,W_:TdDouble );
///// プロパティ
property _s[ const X_:Integer ] :TdDouble read Gets write Sets ; default;
property o :TDouble4D read Geto write Seto ;
property d :TDouble4D read Getd write Setd ;
property Siz2 :TdDouble read GetSiz2 write SetSiz2 ;
property Size :TdDouble read GetSize write SetSize ;
property Unitor :TdDouble4D read GetUnitor write SetUnitor;
///// 演算子
class operator Negative( const V_:TdDouble4D ) :TdDouble4D; inline;
class operator Positive( const V_:TdDouble4D ) :TdDouble4D; inline;
class operator Add( const A_,B_:TdDouble4D ) :TdDouble4D; inline;
class operator Subtract( const A_,B_:TdDouble4D ) :TdDouble4D; inline;
class operator Multiply( const A_:TdDouble4D; const B_:TdDouble ) :TdDouble4D; inline;
class operator Multiply( const A_:TdDouble; const B_:TdDouble4D ) :TdDouble4D; inline;
class operator Divide( const A_:TdDouble4D; const B_:TdDouble ) :TdDouble4D; inline;
///// 型変換
class operator Implicit( const V_:TDouble4D ) :TdDouble4D;
class operator Implicit( const V_:TdDouble4D ) :TDouble4D;
case Integer of
0:( _ :array [ 1..4 ] of TdDouble );
1:( X :TdDouble;
Y :TdDouble;
Z :TdDouble;
W :TdDouble; );
2:( _1 :TdDouble;
_2 :TdDouble;
_3 :TdDouble;
_4 :TdDouble; );
end;
TdFlo64s4D = TdDouble4D;
TdDoublePos4D = TdDouble4D;
TdDoubleVec4D = TdDouble4D;
//$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$【クラス】
//const //$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$【定数】
//var //$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$【変数】
//$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$【ルーチン】
function DotProduct( const A_,B_:TSingleVec4D ) :Single; inline; overload;
function DotProduct( const A_,B_:TDoubleVec4D ) :Double; inline; overload;
function DotProduct( const A_,B_:TdSingleVec4D ) :TdSingle; inline; overload;
function DotProduct( const A_,B_:TdDoubleVec4D ) :TdDouble; inline; overload;
function CrossProduct( const A_,B_,C_:TSingleVec4D ) :TSingleVec4D; inline; overload;
function CrossProduct( const A_,B_,C_:TDoubleVec4D ) :TDoubleVec4D; inline; overload;
function CrossProduct( const A_,B_,C_:TdSingleVec4D ) :TdSingleVec4D; inline; overload;
function CrossProduct( const A_,B_,C_:TdDoubleVec4D ) :TdDoubleVec4D; inline; overload;
function Dista2( const A_,B_:TSinglePos4D ) :Single; inline; overload;
function Dista2( const A_,B_:TDoublePos4D ) :Double; inline; overload;
function Dista2( const A_,B_:TdSinglePos4D ) :TdSingle; inline; overload;
function Dista2( const A_,B_:TdDoublePos4D ) :TdDouble; inline; overload;
function Distan( const A_,B_:TSinglePos4D ) :Single; inline; overload;
function Distan( const A_,B_:TDoublePos4D ) :Double; inline; overload;
function Distan( const A_,B_:TdSinglePos4D ) :TdSingle; inline; overload;
function Distan( const A_,B_:TdDoublePos4D ) :TdDouble; inline; overload;
function Ave( const P1_,P2_:TSingle4D ) :TSingle4D; inline; overload;
function Ave( const P1_,P2_:TDouble4D ) :TDouble4D; inline; overload;
function Ave( const P1_,P2_:TdSingle4D ) :TdSingle4D; inline; overload;
function Ave( const P1_,P2_:TdDouble4D ) :TdDouble4D; inline; overload;
function Ave( const P1_,P2_,P3_:TSingle4D ) :TSingle4D; inline; overload;
function Ave( const P1_,P2_,P3_:TDouble4D ) :TDouble4D; inline; overload;
function Ave( const P1_,P2_,P3_:TdSingle4D ) :TdSingle4D; inline; overload;
function Ave( const P1_,P2_,P3_:TdDouble4D ) :TdDouble4D; inline; overload;
function Ave( const P1_,P2_,P3_,P4_:TSingle4D ) :TSingle4D; inline; overload;
function Ave( const P1_,P2_,P3_,P4_:TDouble4D ) :TDouble4D; inline; overload;
function Ave( const P1_,P2_,P3_,P4_:TdSingle4D ) :TdSingle4D; inline; overload;
function Ave( const P1_,P2_,P3_,P4_:TdDouble4D ) :TdDouble4D; inline; overload;
function PolySolveReal( const Ks_:TSingle4D; out Xs_:TSingle3D ) :Byte; overload;
function PolySolveReal( const Ks_:TDouble4D; out Xs_:TDouble3D ) :Byte; overload;
implementation //############################################################### ■
uses System.SysUtils, System.Math;
//$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$【レコード】
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TByte4D
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& private
/////////////////////////////////////////////////////////////////////// アクセス
function TByte4D.Gets( const X_:Integer ) :Byte;
begin
Result := _[ X_ ];
end;
procedure TByte4D.Sets( const X_:Integer; const V_:Byte );
begin
_[ X_ ] := V_;
end;
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& public
constructor TByte4D.Create( const V_:Byte );
begin
X := V_;
Y := V_;
Z := V_;
W := V_;
end;
constructor TByte4D.Create( const X_,Y_,Z_,W_:Byte );
begin
X := X_;
Y := Y_;
Z := Z_;
W := W_;
end;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TWord4D
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& private
/////////////////////////////////////////////////////////////////////// アクセス
function TWord4D.Gets( const X_:Integer ) :Word;
begin
Result := _[ X_ ];
end;
procedure TWord4D.Sets( const X_:Integer; const V_:Word );
begin
_[ X_ ] := V_;
end;
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& public
constructor TWord4D.Create( const V_:Word );
begin
X := V_;
Y := V_;
Z := V_;
W := V_;
end;
constructor TWord4D.Create( const X_,Y_,Z_,W_:Word );
begin
X := X_;
Y := Y_;
Z := Z_;
W := W_;
end;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TInteger4D
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& private
/////////////////////////////////////////////////////////////////////// アクセス
function TInteger4D.Gets( const X_:Integer ) :Integer;
begin
Result := _[ X_ ];
end;
procedure TInteger4D.Sets( const X_:Integer; const V_:Integer );
begin
_[ X_ ] := V_;
end;
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& public
constructor TInteger4D.Create( const V_:Integer );
begin
X := V_;
Y := V_;
Z := V_;
W := V_;
end;
constructor TInteger4D.Create( const X_,Y_,Z_,W_:Integer );
begin
X := X_;
Y := Y_;
Z := Z_;
W := W_;
end;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TCardinal4D
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& private
/////////////////////////////////////////////////////////////////////// アクセス
function TCardinal4D.Gets( const X_:Integer ) :Cardinal;
begin
Result := _[ X_ ];
end;
procedure TCardinal4D.Sets( const X_:Integer; const V_:Cardinal );
begin
_[ X_ ] := V_;
end;
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& public
constructor TCardinal4D.Create( const V_:Cardinal );
begin
X := V_;
Y := V_;
Z := V_;
W := V_;
end;
constructor TCardinal4D.Create( const X_,Y_,Z_,W_:Cardinal );
begin
X := X_;
Y := Y_;
Z := Z_;
W := W_;
end;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TInt64u4D
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& private
/////////////////////////////////////////////////////////////////////// アクセス
function TInt64u4D.Gets( const X_:Integer ) :Int64u;
begin
Result := _[ X_ ];
end;
procedure TInt64u4D.Sets( const X_:Integer; const V_:Int64u );
begin
_[ X_ ] := V_;
end;
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& public
constructor TInt64u4D.Create( const V_:Int64u );
begin
X := V_;
Y := V_;
Z := V_;
W := V_;
end;
constructor TInt64u4D.Create( const X_,Y_,Z_,W_:Int64u );
begin
X := X_;
Y := Y_;
Z := Z_;
W := W_;
end;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TInt64s4D
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& private
/////////////////////////////////////////////////////////////////////// アクセス
function TInt64s4D.Gets( const X_:Integer ) :Int64s;
begin
Result := _[ X_ ];
end;
procedure TInt64s4D.Sets( const X_:Integer; const V_:Int64s );
begin
_[ X_ ] := V_;
end;
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& public
constructor TInt64s4D.Create( const V_:Int64s );
begin
X := V_;
Y := V_;
Z := V_;
W := V_;
end;
constructor TInt64s4D.Create( const X_,Y_,Z_,W_:Int64s );
begin
X := X_;
Y := Y_;
Z := Z_;
W := W_;
end;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TSingle4D
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& private
/////////////////////////////////////////////////////////////////////// アクセス
function TSingle4D.Gets( const X_:Integer ) :Single;
begin
Result := _[ X_ ];
end;
procedure TSingle4D.Sets( const X_:Integer; const V_:Single );
begin
_[ X_ ] := V_;
end;
//------------------------------------------------------------------------------
function TSingle4D.GetSiz2 :Single;
begin
Result := Pow2( X ) + Pow2( Y ) + Pow2( Z ) + Pow2( W );
end;
procedure TSingle4D.SetSiz2( const Siz2_:Single );
begin
Self := Roo2( Siz2_ / Siz2 ) * Self;
end;
function TSingle4D.GetSize :Single;
begin
Result := Roo2( GetSiz2 );
end;
procedure TSingle4D.SetSize( const Size_:Single );
begin
Self := Size_ * Unitor;
end;
function TSingle4D.GetUnitor :TSingle4D;
begin
Result := Self / Size;
end;
procedure TSingle4D.SetUnitor( const Unitor_:TSingle4D );
begin
Self := Size * Unitor_;
end;
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& public
constructor TSingle4D.Create( const V_:Single );
begin
X := V_;
Y := V_;
Z := V_;
W := V_;
end;
constructor TSingle4D.Create( const X_,Y_,Z_,W_:Single );
begin
X := X_;
Y := Y_;
Z := Z_;
W := W_;
end;
constructor TSingle4D.Create( const P_:TSingle3D; const W_:Single );
begin
X := P_.X ;
Y := P_.Y ;
Z := P_.Z ;
W := W_;
end;
///////////////////////////////////////////////////////////////////////// 演算子
class operator TSingle4D.Negative( const V_:TSingle4D ) :TSingle4D;
begin
with Result do
begin
X := -V_.X;
Y := -V_.Y;
Z := -V_.Z;
W := -V_.W;
end;
end;
class operator TSingle4D.Positive( const V_:TSingle4D ) :TSingle4D;
begin
with Result do
begin
X := +V_.X;
Y := +V_.Y;
Z := +V_.Z;
W := +V_.W;
end;
end;
class operator TSingle4D.Add( const A_,B_:TSingle4D ) :TSingle4D;
begin
with Result do
begin
X := A_.X + B_.X;
Y := A_.Y + B_.Y;
Z := A_.Z + B_.Z;
W := A_.W + B_.W;
end;
end;
class operator TSingle4D.Subtract( const A_,B_:TSingle4D ) :TSingle4D;
begin
with Result do
begin
X := A_.X - B_.X;
Y := A_.Y - B_.Y;
Z := A_.Z - B_.Z;
W := A_.W - B_.W;
end;
end;
class operator TSingle4D.Multiply( const A_:TSingle4D; const B_:Single ) :TSingle4D;
begin
with Result do
begin
X := A_.X * B_;
Y := A_.Y * B_;
Z := A_.Z * B_;
W := A_.W * B_;
end;
end;
class operator TSingle4D.Multiply( const A_:Single; const B_:TSingle4D ) :TSingle4D;
begin
with Result do
begin
X := A_ * B_.X;
Y := A_ * B_.Y;
Z := A_ * B_.Z;
W := A_ * B_.W;
end;
end;
class operator TSingle4D.Divide( const A_:TSingle4D; const B_:Single ) :TSingle4D;
begin
with Result do
begin
X := A_.X / B_;
Y := A_.Y / B_;
Z := A_.Z / B_;
W := A_.W / B_;
end;
end;
///////////////////////////////////////////////////////////////////////// 型変換
class operator TSingle4D.Implicit( const V_:TSingle3D ) :TSingle4D;
begin
with Result do
begin
X := V_.X;
Y := V_.Y;
Z := V_.Z;
W := 0;
end;
end;
class operator TSingle4D.Explicit( const V_:TSingle4D ) :TSingle3D;
begin
with Result do
begin
X := V_.X;
Y := V_.Y;
Z := V_.Z;
end;
end;
class operator TSingle4D.Implicit( const V_:TPoint3D ) :TSingle4D;
begin
with Result do
begin
X := +V_.X;
Y := -V_.Y;
Z := -V_.Z;
W := 0;
end;
end;
class operator TSingle4D.Explicit( const V_:TSingle4D ) :TPoint3D;
begin
with Result do
begin
X := +V_.X;
Y := -V_.Y;
Z := -V_.Z;
end;
end;
class operator TSingle4D.Implicit( const V_:TVector3D ) :TSingle4D;
begin
with Result do
begin
X := +V_.X;
Y := -V_.Y;
Z := -V_.Z;
W := V_.W;
end;
end;
class operator TSingle4D.Explicit( const V_:TSingle4D ) :TVector3D;
begin
with Result do
begin
X := +V_.X;
Y := -V_.Y;
Z := -V_.Z;
W := V_.W;
end;
end;
/////////////////////////////////////////////////////////////////////////// 定数
class function TSingle4D.IdentityX :TSingle4D;
begin
with Result do
begin
X := 1;
Y := 0;
Z := 0;
W := 0;
end;
end;
class function TSingle4D.IdentityY :TSingle4D;
begin
with Result do
begin
X := 0;
Y := 1;
Z := 0;
W := 0;
end;
end;
class function TSingle4D.IdentityZ :TSingle4D;
begin
with Result do
begin
X := 0;
Y := 0;
Z := 1;
W := 0;
end;
end;
class function TSingle4D.IdentityW :TSingle4D;
begin
with Result do
begin
X := 0;
Y := 0;
Z := 0;
W := 1;
end;
end;
/////////////////////////////////////////////////////////////////////// メソッド
function TSingle4D.VectorTo( const P_:TSingle4D ) :TSingle4D;
begin
Result := P_ - Self;
end;
function TSingle4D.UnitorTo( const P_:TSingle4D ) :TSingle4D;
begin
Result := VectorTo( P_ ).Unitor;
end;
function TSingle4D.DistanTo( const P_:TSingle4D ) :Single;
begin
Result := VectorTo( P_ ).Size;
end;
//------------------------------------------------------------------------------
function TSingle4D.ToCart :TSingle3D;
begin
Result.X := X / W;
Result.Y := Y / W;
Result.Z := Z / W;
end;
//------------------------------------------------------------------------------
class function TSingle4D.RandG :TSingle4D;
begin
with Result do
begin
X := System.Math.RandG( 0, 1 );
Y := System.Math.RandG( 0, 1 );
Z := System.Math.RandG( 0, 1 );
W := System.Math.RandG( 0, 1 );
end;
end;
//------------------------------------------------------------------------------
class function TSingle4D.RandBS1 :TSingle4D;
begin
with Result do
begin
X := TSingle.RandBS1;
Y := TSingle.RandBS1;
Z := TSingle.RandBS1;
W := TSingle.RandBS1;
end;
end;
class function TSingle4D.RandBS2 :TSingle4D;
begin
with Result do
begin
X := TSingle.RandBS2;
Y := TSingle.RandBS2;
Z := TSingle.RandBS2;
W := TSingle.RandBS2;
end;
end;
class function TSingle4D.RandBS4 :TSingle4D;
begin
with Result do
begin
X := TSingle.RandBS4;
Y := TSingle.RandBS4;
Z := TSingle.RandBS4;
W := TSingle.RandBS4;
end;