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{
Apophysis Copyright (C) 2001-2004 Mark Townsend
Apophysis Copyright (C) 2005-2006 Ronald Hordijk, Piotr Borys, Peter Sdobnov
Apophysis Copyright (C) 2007-2008 Piotr Borys, Peter Sdobnov
Apophysis "3D hack" Copyright (C) 2007-2008 Peter Sdobnov
Apophysis "7X" Copyright (C) 2009-2010 Georg Kiehne
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
}
unit varBipolar;
interface
uses
BaseVariation, XFormMan;
type
TVariationBipolar = class(TBaseVariation)
private
bipolar_shift, v_4, v, s: double;
public
constructor Create;
class function GetName: string; override;
class function GetInstance: TBaseVariation; override;
function GetNrVariables: integer; override;
function GetVariableNameAt(const Index: integer): string; override;
function SetVariable(const Name: string; var value: double): boolean; override;
function GetVariable(const Name: string; var value: double): boolean; override;
function ResetVariable(const Name: string): boolean; override;
procedure Prepare; override;
procedure CalcFunction; override;
end;
implementation
uses
Math;
///////////////////////////////////////////////////////////////////////////////
procedure TVariationBipolar.Prepare;
begin
v_4 := VVAR * 0.15915494309189533576888376337251;
v := VVAR * 0.636619772367581343075535053490061;
s := -1.57079632679489661923 * (bipolar_shift);
end;
procedure TVariationBipolar.CalcFunction;
var x2y2, y, t, x2, f, g : double;
begin
x2y2 := sqr(FTx^) + sqr(FTy^);
y := 0.5 * ArcTan2(2.0 * FTy^, x2y2 - 1.0) + (s);
if (y > 1.57079632679489661923) then
y := -1.57079632679489661923 + fmod(y + 1.57079632679489661923, PI)
else if (y < -1.57079632679489661923) then
y := 1.57079632679489661923 - fmod(1.57079632679489661923 - y, PI);
t := x2y2 + 1.0;
x2 := 2.0 * FTx^;
f := t + x2;
g := t - x2;
if (g = 0) or (f/g <= 0) then
Exit;
FPx^ := FPx^ + (v_4) * Ln((t+x2) / (t-x2));
FPy^ := FPy^ + (v) * y;
FPz^ := FPz^ + vvar * FTz^;
end;
///////////////////////////////////////////////////////////////////////////////
constructor TVariationBipolar.Create;
begin
bipolar_shift := 0;
v_4 := 0;
v := 0;
s := 0;
end;
///////////////////////////////////////////////////////////////////////////////
class function TVariationBipolar.GetInstance: TBaseVariation;
begin
Result := TVariationBipolar.Create;
end;
///////////////////////////////////////////////////////////////////////////////
class function TVariationBipolar.GetName: string;
begin
Result := 'bipolar';
end;
///////////////////////////////////////////////////////////////////////////////
function TVariationBipolar.GetVariableNameAt(const Index: integer): string;
begin
case Index Of
0: Result := 'bipolar_shift';
else
Result := '';
end
end;
///////////////////////////////////////////////////////////////////////////////
function TVariationBipolar.SetVariable(const Name: string; var value: double): boolean;
var temp: double;
begin
Result := False;
if Name = 'bipolar_shift' then begin
temp := frac(0.5 * (value + 1.0));
value := 2.0 * temp - 1.0;
bipolar_shift := Value;
Result := True;
end
end;
function TVariationBipolar.ResetVariable(const Name: string): boolean;
begin
Result := False;
if Name = 'bipolar_shift' then begin
bipolar_shift := 0;
Result := True;
end;
end;
///////////////////////////////////////////////////////////////////////////////
function TVariationBipolar.GetNrVariables: integer;
begin
Result := 1
end;
///////////////////////////////////////////////////////////////////////////////
function TVariationBipolar.GetVariable(const Name: string; var value: double): boolean;
begin
Result := False;
if Name = 'bipolar_shift' then begin
Value := bipolar_shift;
Result := True;
end
end;
///////////////////////////////////////////////////////////////////////////////
initialization
RegisterVariation(TVariationClassLoader.Create(TVariationBipolar), true, false);
end.

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