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LUX.D5.pas
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LUX.D5.pas
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unit LUX.D5;
interface //#################################################################### ■
uses System.Math.Vectors,
LUX, LUX.D1, LUX.D2, LUX.D3, LUX.D4;
type //$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$【型】
//$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$【レコード】
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TSingle5D
TSingle5D = 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 :TSingle5D; inline;
procedure SetUnitor( const Unitor_:TSingle5D ); inline;
public
constructor Create( const V_:Single ); overload;
constructor Create( const V1_,V2_,V3_,V4_,V5_: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 :TSingle5D read GetUnitor write SetUnitor;
///// 演算子
class operator Negative( const V_:TSingle5D ) :TSingle5D;
class operator Positive( const V_:TSingle5D ) :TSingle5D;
class operator Add( const A_,B_:TSingle5D ) :TSingle5D;
class operator Subtract( const A_,B_:TSingle5D ) :TSingle5D;
class operator Multiply( const A_:TSingle5D; const B_:Single ) :TSingle5D;
class operator Multiply( const A_:Single; const B_:TSingle5D ) :TSingle5D;
class operator Divide( const A_:TSingle5D; const B_:Single ) :TSingle5D;
///// 型変換
class operator Explicit( const V_:TSingle5D ) :TSingle2D; inline;
class operator Explicit( const V_:TSingle5D ) :TSingle3D; inline;
class operator Explicit( const V_:TSingle5D ) :TSingle4D; inline;
///// 定数
class function Identity1 :TSingle5D; inline; static;
class function Identity2 :TSingle5D; inline; static;
class function Identity3 :TSingle5D; inline; static;
class function Identity4 :TSingle5D; inline; static;
class function Identity5 :TSingle5D; inline; static;
///// メソッド
function VectorTo( const P_:TSingle5D ) :TSingle5D;
function UnitorTo( const P_:TSingle5D ) :TSingle5D;
function DistanTo( const P_:TSingle5D ) :Single;
class function RandG :TSingle5D; static;
class function RandBS1 :TSingle5D; static;
class function RandBS2 :TSingle5D; static;
class function RandBS4 :TSingle5D; static;
case Integer of
0:( _ :array [ 1..5 ] of Single );
1:( _1 :Single;
_2 :Single;
_3 :Single;
_4 :Single;
_5 :Single; );
end;
TSinglePos5D = TSingle5D;
TSingleVec5D = TSingle5D;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TDouble5D
TDouble5D = 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 :TDouble5D; inline;
procedure SetUnitor( const Unitor_:TDouble5D ); inline;
public
constructor Create( const V_:Double ); overload;
constructor Create( const V1_,V2_,V3_,V4_,V5_: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 :TDouble5D read GetUnitor write SetUnitor;
///// 演算子
class operator Negative( const V_:TDouble5D ) :TDouble5D;
class operator Positive( const V_:TDouble5D ) :TDouble5D;
class operator Add( const A_,B_:TDouble5D ) :TDouble5D;
class operator Subtract( const A_,B_:TDouble5D ) :TDouble5D;
class operator Multiply( const A_:TDouble5D; const B_:Double ) :TDouble5D;
class operator Multiply( const A_:Double; const B_:TDouble5D ) :TDouble5D;
class operator Divide( const A_:TDouble5D; const B_:Double ) :TDouble5D;
///// 型変換
class operator Explicit( const V_:TDouble5D ) :TDouble2D; inline;
class operator Explicit( const V_:TDouble5D ) :TDouble3D; inline;
class operator Explicit( const V_:TDouble5D ) :TDouble4D; inline;
///// 定数
class function Identity1 :TDouble5D; inline; static;
class function Identity2 :TDouble5D; inline; static;
class function Identity3 :TDouble5D; inline; static;
class function Identity4 :TDouble5D; inline; static;
class function Identity5 :TDouble5D; inline; static;
///// メソッド
function VectorTo( const P_:TDouble5D ) :TDouble5D;
function UnitorTo( const P_:TDouble5D ) :TDouble5D;
function DistanTo( const P_:TDouble5D ) :Double;
class function RandG :TDouble5D; static;
class function RandBS1 :TDouble5D; static;
class function RandBS2 :TDouble5D; static;
class function RandBS4 :TDouble5D; static;
case Integer of
0:( _ :array [ 1..5 ] of Double );
1:( _1 :Double;
_2 :Double;
_3 :Double;
_4 :Double;
_5 :Double; );
end;
TDoublePos5D = TDouble5D;
TDoubleVec5D = TDouble5D;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TdSingle5D
TdSingle5D = record
private
///// アクセス
function Gets( const X_:Integer ) :TdSingle; inline;
procedure Sets( const X_:Integer; const V_:TdSingle ); inline;
function Geto :TSingle5D; inline;
procedure Seto( const o_:TSingle5D ); inline;
function Getd :TSingle5D; inline;
procedure Setd( const d_:TSingle5D ); inline;
function GetSiz2 :TdSingle; inline;
procedure SetSiz2( const Siz2_:TdSingle ); inline;
function GetSize :TdSingle; inline;
procedure SetSize( const Size_:TdSingle ); inline;
function GetUnitor :TdSingle5D; inline;
procedure SetUnitor( const Unitor_:TdSingle5D ); inline;
public
constructor Create( const V1_,V2_,V3_,V4_,V5_:TdSingle );
///// プロパティ
property _s[ const X_:Integer ] :TdSingle read Gets write Sets ; default;
property o :TSingle5D read Geto write Seto ;
property d :TSingle5D read Getd write Setd ;
property Siz2 :TdSingle read GetSiz2 write SetSiz2 ;
property Size :TdSingle read GetSize write SetSize ;
property Unitor :TdSingle5D read GetUnitor write SetUnitor;
///// 演算子
class operator Negative( const V_:TdSingle5D ) :TdSingle5D; inline;
class operator Positive( const V_:TdSingle5D ) :TdSingle5D; inline;
class operator Add( const A_,B_:TdSingle5D ) :TdSingle5D; inline;
class operator Subtract( const A_,B_:TdSingle5D ) :TdSingle5D; inline;
class operator Multiply( const A_:TdSingle5D; const B_:TdSingle ) :TdSingle5D; inline;
class operator Multiply( const A_:TdSingle; const B_:TdSingle5D ) :TdSingle5D; inline;
class operator Divide( const A_:TdSingle5D; const B_:TdSingle ) :TdSingle5D; inline;
///// 型変換
class operator Implicit( const V_:TSingle5D ) :TdSingle5D;
class operator Implicit( const V_:TdSingle5D ) :TSingle5D;
case Integer of
0:( _ :array [ 1..5 ] of TdSingle );
1:( _1 :TdSingle;
_2 :TdSingle;
_3 :TdSingle;
_4 :TdSingle;
_5 :TdSingle; );
end;
TdSinglePos5D = TdSingle5D;
TdSingleVec5D = TdSingle5D;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TdDouble5D
TdDouble5D = record
private
///// アクセス
function Gets( const X_:Integer ) :TdDouble; inline;
procedure Sets( const X_:Integer; const V_:TdDouble ); inline;
function Geto :TDouble5D; inline;
procedure Seto( const o_:TDouble5D ); inline;
function Getd :TDouble5D; inline;
procedure Setd( const d_:TDouble5D ); inline;
function GetSiz2 :TdDouble; inline;
procedure SetSiz2( const Siz2_:TdDouble ); inline;
function GetSize :TdDouble; inline;
procedure SetSize( const Size_:TdDouble ); inline;
function GetUnitor :TdDouble5D; inline;
procedure SetUnitor( const Unitor_:TdDouble5D ); inline;
public
constructor Create( const V1_,V2_,V3_,V4_,V5_:TdDouble );
///// プロパティ
property _s[ const X_:Integer ] :TdDouble read Gets write Sets ; default;
property o :TDouble5D read Geto write Seto ;
property d :TDouble5D read Getd write Setd ;
property Siz2 :TdDouble read GetSiz2 write SetSiz2 ;
property Size :TdDouble read GetSize write SetSize ;
property Unitor :TdDouble5D read GetUnitor write SetUnitor;
///// 演算子
class operator Negative( const V_:TdDouble5D ) :TdDouble5D; inline;
class operator Positive( const V_:TdDouble5D ) :TdDouble5D; inline;
class operator Add( const A_,B_:TdDouble5D ) :TdDouble5D; inline;
class operator Subtract( const A_,B_:TdDouble5D ) :TdDouble5D; inline;
class operator Multiply( const A_:TdDouble5D; const B_:TdDouble ) :TdDouble5D; inline;
class operator Multiply( const A_:TdDouble; const B_:TdDouble5D ) :TdDouble5D; inline;
class operator Divide( const A_:TdDouble5D; const B_:TdDouble ) :TdDouble5D; inline;
///// 型変換
class operator Implicit( const V_:TDouble5D ) :TdDouble5D;
class operator Implicit( const V_:TdDouble5D ) :TDouble5D;
case Integer of
0:( _ :array [ 1..5 ] of TdDouble );
1:( _1 :TdDouble;
_2 :TdDouble;
_3 :TdDouble;
_4 :TdDouble;
_5 :TdDouble; );
end;
TdDoublePos5D = TdDouble5D;
TdDoubleVec5D = TdDouble5D;
//$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$【クラス】
//const //$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$【定数】
//var //$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$【変数】
//$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$【ルーチン】
function DotProduct( const A_,B_:TSingleVec5D ) :Single; inline; overload;
function DotProduct( const A_,B_:TDoubleVec5D ) :Double; inline; overload;
function DotProduct( const A_,B_:TdSingleVec5D ) :TdSingle; inline; overload;
function DotProduct( const A_,B_:TdDoubleVec5D ) :TdDouble; inline; overload;
function Dista2( const A_,B_:TSinglePos5D ) :Single; inline; overload;
function Dista2( const A_,B_:TDoublePos5D ) :Double; inline; overload;
function Dista2( const A_,B_:TdSinglePos5D ) :TdSingle; inline; overload;
function Dista2( const A_,B_:TdDoublePos5D ) :TdDouble; inline; overload;
function Distan( const A_,B_:TSinglePos5D ) :Single; inline; overload;
function Distan( const A_,B_:TDoublePos5D ) :Double; inline; overload;
function Distan( const A_,B_:TdSinglePos5D ) :TdSingle; inline; overload;
function Distan( const A_,B_:TdDoublePos5D ) :TdDouble; inline; overload;
function Ave( const P1_,P2_:TSingle5D ) :TSingle5D; inline; overload;
function Ave( const P1_,P2_:TDouble5D ) :TDouble5D; inline; overload;
function Ave( const P1_,P2_:TdSingle5D ) :TdSingle5D; inline; overload;
function Ave( const P1_,P2_:TdDouble5D ) :TdDouble5D; inline; overload;
function Ave( const P1_,P2_,P3_:TSingle5D ) :TSingle5D; inline; overload;
function Ave( const P1_,P2_,P3_:TDouble5D ) :TDouble5D; inline; overload;
function Ave( const P1_,P2_,P3_:TdSingle5D ) :TdSingle5D; inline; overload;
function Ave( const P1_,P2_,P3_:TdDouble5D ) :TdDouble5D; inline; overload;
function Ave( const P1_,P2_,P3_,P4_:TSingle5D ) :TSingle5D; inline; overload;
function Ave( const P1_,P2_,P3_,P4_:TDouble5D ) :TDouble5D; inline; overload;
function Ave( const P1_,P2_,P3_,P4_:TdSingle5D ) :TdSingle5D; inline; overload;
function Ave( const P1_,P2_,P3_,P4_:TdDouble5D ) :TdDouble5D; inline; overload;
function PolySolveReal( const Ks_:TSingle5D; out Xs_:TSingle4D ) :Byte; overload;
function PolySolveReal( const Ks_:TDouble5D; out Xs_:TDouble4D ) :Byte; overload;
implementation //############################################################### ■
uses System.SysUtils, System.Math;
//$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$【レコード】
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TSingle5D
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& private
/////////////////////////////////////////////////////////////////////// アクセス
function TSingle5D.Gets( const X_:Integer ) :Single;
begin
Result := _[ X_ ];
end;
procedure TSingle5D.Sets( const X_:Integer; const V_:Single );
begin
_[ X_ ] := V_;
end;
//------------------------------------------------------------------------------
function TSingle5D.GetSiz2 :Single;
begin
Result := Pow2( _1 ) + Pow2( _2 ) + Pow2( _3 ) + Pow2( _4 ) + Pow2( _5 );
end;
procedure TSingle5D.SetSiz2( const Siz2_:Single );
begin
Self := Roo2( Siz2_ / Siz2 ) * Self;
end;
function TSingle5D.GetSize :Single;
begin
Result := Roo2( GetSiz2 );
end;
procedure TSingle5D.SetSize( const Size_:Single );
begin
Self := Size_ * Unitor;
end;
function TSingle5D.GetUnitor :TSingle5D;
begin
Result := Self / Size;
end;
procedure TSingle5D.SetUnitor( const Unitor_:TSingle5D );
begin
Self := Size * Unitor_;
end;
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& public
constructor TSingle5D.Create( const V_:Single );
begin
_1 := V_;
_2 := V_;
_3 := V_;
_4 := V_;
_5 := V_;
end;
constructor TSingle5D.Create( const V1_,V2_,V3_,V4_,V5_:Single );
begin
_1 := V1_;
_2 := V2_;
_3 := V3_;
_4 := V4_;
_5 := V5_;
end;
///////////////////////////////////////////////////////////////////////// 演算子
class operator TSingle5D.Negative( const V_:TSingle5D ) :TSingle5D;
begin
with Result do
begin
_1 := -V_._1;
_2 := -V_._2;
_3 := -V_._3;
_4 := -V_._4;
_5 := -V_._5;
end;
end;
class operator TSingle5D.Positive( const V_:TSingle5D ) :TSingle5D;
begin
with Result do
begin
_1 := +V_._1;
_2 := +V_._2;
_3 := +V_._3;
_4 := +V_._4;
_5 := +V_._5;
end;
end;
class operator TSingle5D.Add( const A_,B_:TSingle5D ) :TSingle5D;
begin
with Result do
begin
_1 := A_._1 + B_._1;
_2 := A_._2 + B_._2;
_3 := A_._3 + B_._3;
_4 := A_._4 + B_._4;
_5 := A_._5 + B_._5;
end;
end;
class operator TSingle5D.Subtract( const A_,B_:TSingle5D ) :TSingle5D;
begin
with Result do
begin
_1 := A_._1 - B_._1;
_2 := A_._2 - B_._2;
_3 := A_._3 - B_._3;
_4 := A_._4 - B_._4;
_5 := A_._5 - B_._5;
end;
end;
class operator TSingle5D.Multiply( const A_:TSingle5D; const B_:Single ) :TSingle5D;
begin
with Result do
begin
_1 := A_._1 * B_;
_2 := A_._2 * B_;
_3 := A_._3 * B_;
_4 := A_._4 * B_;
_5 := A_._5 * B_;
end;
end;
class operator TSingle5D.Multiply( const A_:Single; const B_:TSingle5D ) :TSingle5D;
begin
with Result do
begin
_1 := A_ * B_._1;
_2 := A_ * B_._2;
_3 := A_ * B_._3;
_4 := A_ * B_._4;
_5 := A_ * B_._5;
end;
end;
class operator TSingle5D.Divide( const A_:TSingle5D; const B_:Single ) :TSingle5D;
begin
with Result do
begin
_1 := A_._1 / B_;
_2 := A_._2 / B_;
_3 := A_._3 / B_;
_4 := A_._4 / B_;
_5 := A_._5 / B_;
end;
end;
///////////////////////////////////////////////////////////////////////// 型変換
class operator TSingle5D.Explicit( const V_:TSingle5D ) :TSingle2D;
begin
with Result do
begin
_1 := V_._1;
_2 := V_._2;
end;
end;
class operator TSingle5D.Explicit( const V_:TSingle5D ) :TSingle3D;
begin
with Result do
begin
_1 := V_._1;
_2 := V_._2;
_3 := V_._3;
end;
end;
class operator TSingle5D.Explicit( const V_:TSingle5D ) :TSingle4D;
begin
with Result do
begin
_1 := V_._1;
_2 := V_._2;
_3 := V_._3;
_4 := V_._4;
end;
end;
/////////////////////////////////////////////////////////////////////////// 定数
class function TSingle5D.Identity1 :TSingle5D;
begin
with Result do
begin
_1 := 1;
_2 := 0;
_3 := 0;
_4 := 0;
_5 := 0;
end;
end;
class function TSingle5D.Identity2 :TSingle5D;
begin
with Result do
begin
_1 := 0;
_2 := 1;
_3 := 0;
_4 := 0;
_5 := 0;
end;
end;
class function TSingle5D.Identity3 :TSingle5D;
begin
with Result do
begin
_1 := 0;
_2 := 0;
_3 := 1;
_4 := 0;
_5 := 0;
end;
end;
class function TSingle5D.Identity4 :TSingle5D;
begin
with Result do
begin
_1 := 0;
_2 := 0;
_3 := 0;
_4 := 1;
_5 := 0;
end;
end;
class function TSingle5D.Identity5 :TSingle5D;
begin
with Result do
begin
_1 := 0;
_2 := 0;
_3 := 0;
_4 := 0;
_5 := 1;
end;
end;
/////////////////////////////////////////////////////////////////////// メソッド
function TSingle5D.VectorTo( const P_:TSingle5D ) :TSingle5D;
begin
Result := P_ - Self;
end;
function TSingle5D.UnitorTo( const P_:TSingle5D ) :TSingle5D;
begin
Result := VectorTo( P_ ).Unitor;
end;
function TSingle5D.DistanTo( const P_:TSingle5D ) :Single;
begin
Result := VectorTo( P_ ).Size;
end;
//------------------------------------------------------------------------------
class function TSingle5D.RandG :TSingle5D;
begin
with Result do
begin
_1 := System.Math.RandG( 0, 1 );
_2 := System.Math.RandG( 0, 1 );
_3 := System.Math.RandG( 0, 1 );
_4 := System.Math.RandG( 0, 1 );
_5 := System.Math.RandG( 0, 1 );
end;
end;
//------------------------------------------------------------------------------
class function TSingle5D.RandBS1 :TSingle5D;
begin
with Result do
begin
_1 := TSingle.RandBS1;
_2 := TSingle.RandBS1;
_3 := TSingle.RandBS1;
_4 := TSingle.RandBS1;
_5 := TSingle.RandBS1;
end;
end;
class function TSingle5D.RandBS2 :TSingle5D;
begin
with Result do
begin
_1 := TSingle.RandBS2;
_2 := TSingle.RandBS2;
_3 := TSingle.RandBS2;
_4 := TSingle.RandBS2;
_5 := TSingle.RandBS2;
end;
end;
class function TSingle5D.RandBS4 :TSingle5D;
begin
with Result do
begin
_1 := TSingle.RandBS4;
_2 := TSingle.RandBS4;
_3 := TSingle.RandBS4;
_4 := TSingle.RandBS4;
_5 := TSingle.RandBS4;
end;
end;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TDouble5D
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& private
/////////////////////////////////////////////////////////////////////// アクセス
function TDouble5D.Gets( const X_:Integer ) :Double;
begin
Result := _[ X_ ];
end;
procedure TDouble5D.Sets( const X_:Integer; const V_:Double );
begin
_[ X_ ] := V_;
end;
//------------------------------------------------------------------------------
function TDouble5D.GetSiz2 :Double;
begin
Result := Pow2( _1 ) + Pow2( _2 ) + Pow2( _3 ) + Pow2( _4 ) + Pow2( _5 );
end;
procedure TDouble5D.SetSiz2( const Siz2_:Double );
begin
Self := Roo2( Siz2_ / Siz2 ) * Self;
end;
function TDouble5D.GetSize :Double;
begin
Result := Roo2( GetSiz2 );
end;
procedure TDouble5D.SetSize( const Size_:Double );
begin
Self := Size_ * Unitor;
end;
function TDouble5D.GetUnitor :TDouble5D;
begin
Result := Self / Size;
end;
procedure TDouble5D.SetUnitor( const Unitor_:TDouble5D );
begin
Self := Size * Unitor_;
end;
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& public
constructor TDouble5D.Create( const V_:Double );
begin
_1 := V_;
_2 := V_;
_3 := V_;
_4 := V_;
_5 := V_;
end;
constructor TDouble5D.Create( const V1_,V2_,V3_,V4_,V5_:Double );
begin
_1 := V1_;
_2 := V2_;
_3 := V3_;
_4 := V4_;
_5 := V5_;
end;
///////////////////////////////////////////////////////////////////////// 演算子
class operator TDouble5D.Negative( const V_:TDouble5D ) :TDouble5D;
begin
with Result do
begin
_1 := -V_._1;
_2 := -V_._2;
_3 := -V_._3;
_4 := -V_._4;
_5 := -V_._5;
end;
end;
class operator TDouble5D.Positive( const V_:TDouble5D ) :TDouble5D;
begin
with Result do
begin
_1 := +V_._1;
_2 := +V_._2;
_3 := +V_._3;
_4 := +V_._4;
_5 := +V_._5;
end;
end;
class operator TDouble5D.Add( const A_,B_:TDouble5D ) :TDouble5D;
begin
with Result do
begin
_1 := A_._1 + B_._1;
_2 := A_._2 + B_._2;
_3 := A_._3 + B_._3;
_4 := A_._4 + B_._4;
_5 := A_._5 + B_._5;
end;
end;
class operator TDouble5D.Subtract( const A_,B_:TDouble5D ) :TDouble5D;
begin
with Result do
begin
_1 := A_._1 - B_._1;
_2 := A_._2 - B_._2;
_3 := A_._3 - B_._3;
_4 := A_._4 - B_._4;
_5 := A_._5 - B_._5;
end;
end;
class operator TDouble5D.Multiply( const A_:TDouble5D; const B_:Double ) :TDouble5D;
begin
with Result do
begin
_1 := A_._1 * B_;
_2 := A_._2 * B_;
_3 := A_._3 * B_;
_4 := A_._4 * B_;
_5 := A_._5 * B_;
end;
end;
class operator TDouble5D.Multiply( const A_:Double; const B_:TDouble5D ) :TDouble5D;
begin
with Result do
begin
_1 := A_ * B_._1;
_2 := A_ * B_._2;
_3 := A_ * B_._3;
_4 := A_ * B_._4;
_5 := A_ * B_._5;
end;
end;
class operator TDouble5D.Divide( const A_:TDouble5D; const B_:Double ) :TDouble5D;
begin
with Result do
begin
_1 := A_._1 / B_;
_2 := A_._2 / B_;
_3 := A_._3 / B_;
_4 := A_._4 / B_;
_5 := A_._5 / B_;
end;
end;
///////////////////////////////////////////////////////////////////////// 型変換
class operator TDouble5D.Explicit( const V_:TDouble5D ) :TDouble2D;
begin
with Result do
begin
_1 := V_._1;
_2 := V_._2;
end;
end;
class operator TDouble5D.Explicit( const V_:TDouble5D ) :TDouble3D;
begin
with Result do
begin
_1 := V_._1;
_2 := V_._2;
_3 := V_._3;
end;
end;
class operator TDouble5D.Explicit( const V_:TDouble5D ) :TDouble4D;
begin
with Result do
begin
_1 := V_._1;
_2 := V_._2;
_3 := V_._3;
_4 := V_._4;
end;
end;
/////////////////////////////////////////////////////////////////////////// 定数
class function TDouble5D.Identity1 :TDouble5D;
begin
with Result do
begin
_1 := 1;
_2 := 0;
_3 := 0;
_4 := 0;
_5 := 0;
end;
end;
class function TDouble5D.Identity2 :TDouble5D;
begin
with Result do
begin
_1 := 0;
_2 := 1;
_3 := 0;
_4 := 0;
_5 := 0;
end;
end;
class function TDouble5D.Identity3 :TDouble5D;
begin
with Result do
begin
_1 := 0;
_2 := 0;
_3 := 1;
_4 := 0;
_5 := 0;
end;
end;
class function TDouble5D.Identity4 :TDouble5D;
begin
with Result do
begin
_1 := 0;
_2 := 0;
_3 := 0;
_4 := 1;
_5 := 0;
end;
end;
class function TDouble5D.Identity5 :TDouble5D;
begin
with Result do
begin
_1 := 0;
_2 := 0;
_3 := 0;
_4 := 0;
_5 := 1;
end;
end;
/////////////////////////////////////////////////////////////////////// メソッド
function TDouble5D.VectorTo( const P_:TDouble5D ) :TDouble5D;
begin
Result := P_ - Self;
end;
function TDouble5D.UnitorTo( const P_:TDouble5D ) :TDouble5D;
begin
Result := VectorTo( P_ ).Unitor;
end;
function TDouble5D.DistanTo( const P_:TDouble5D ) :Double;
begin
Result := VectorTo( P_ ).Size;
end;
//------------------------------------------------------------------------------
class function TDouble5D.RandG :TDouble5D;
begin
with Result do
begin
_1 := System.Math.RandG( 0, 1 );
_2 := System.Math.RandG( 0, 1 );
_3 := System.Math.RandG( 0, 1 );
_4 := System.Math.RandG( 0, 1 );
_5 := System.Math.RandG( 0, 1 );
end;
end;
//------------------------------------------------------------------------------
class function TDouble5D.RandBS1 :TDouble5D;
begin
with Result do
begin
_1 := TDouble.RandBS1;
_2 := TDouble.RandBS1;
_3 := TDouble.RandBS1;
_4 := TDouble.RandBS1;
_5 := TDouble.RandBS1;
end;
end;
class function TDouble5D.RandBS2 :TDouble5D;
begin
with Result do
begin
_1 := TDouble.RandBS2;
_2 := TDouble.RandBS2;
_3 := TDouble.RandBS2;
_4 := TDouble.RandBS2;
_5 := TDouble.RandBS2;
end;
end;
class function TDouble5D.RandBS4 :TDouble5D;
begin
with Result do
begin
_1 := TDouble.RandBS4;
_2 := TDouble.RandBS4;
_3 := TDouble.RandBS4;
_4 := TDouble.RandBS4;
_5 := TDouble.RandBS4;
end;
end;
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TdSingle5D
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& private
/////////////////////////////////////////////////////////////////////// アクセス
function TdSingle5D.Gets( const X_:Integer ) :TdSingle;
begin
Result := _[ X_ ];
end;
procedure TdSingle5D.Sets( const X_:Integer; const V_:TdSingle );
begin
_[ X_ ] := V_;
end;
//------------------------------------------------------------------------------
function TdSingle5D.Geto :TSingle5D;
begin
Result._1 := _1.o;
Result._2 := _2.o;
Result._3 := _3.o;
Result._4 := _4.o;
Result._5 := _5.o;
end;
procedure TdSingle5D.Seto( const o_:TSingle5D );
begin
_1.o := o_._1;
_2.o := o_._2;
_3.o := o_._3;
_4.o := o_._4;
_5.o := o_._5;
end;
function TdSingle5D.Getd :TSingle5D;
begin
Result._1 := _1.d;
Result._2 := _2.d;
Result._3 := _3.d;
Result._4 := _4.d;
Result._5 := _5.d;
end;
procedure TdSingle5D.Setd( const d_:TSingle5D );
begin
_1.d := d_._1;
_2.d := d_._2;
_3.d := d_._3;
_4.d := d_._4;
_5.d := d_._5;
end;
function TdSingle5D.GetSiz2 :TdSingle;
begin
Result := Pow2( _1 ) + Pow2( _2 ) + Pow2( _3 ) + Pow2( _4 ) + Pow2( _5 );
end;
procedure TdSingle5D.SetSiz2( const Siz2_:TdSingle );
begin
Self := Roo2( Siz2_ / Siz2 ) * Self;
end;
function TdSingle5D.GetSize :TdSingle;
begin
Result := Roo2( Siz2 );
end;
procedure TdSingle5D.SetSize( const Size_:TdSingle );
begin
Self := Size_ * Unitor;
end;
function TdSingle5D.GetUnitor :TdSingle5D;
begin
Result := Self / Size;
end;
procedure TdSingle5D.SetUnitor( const Unitor_:TdSingle5D );
begin
Self := Size * Unitor_;
end;
//&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& public
constructor TdSingle5D.Create( const V1_,V2_,V3_,V4_,V5_:TdSingle );
begin
_1 := V1_;
_2 := V2_;
_3 := V3_;
_4 := V4_;