unit varJulia3Dz;

interface

uses
  BaseVariation, XFormMan;

const
  var_name = 'julia3Dz';
  var_n_name='julia3Dz_power';

{$define _ASM_}

type
  TVariationJulia3D = class(TBaseVariation)
  private
    N: integer;

    absN: integer;
    cN: double;

    procedure CalcPower1;
    procedure CalcPowerMinus1;
    procedure CalcPower2;
    procedure CalcPowerMinus2;

  public
    constructor Create;

    class function GetName: string; override;
    class function GetInstance: TBaseVariation; override;

    class function GetNrVariables: integer; override;
    class 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;
    procedure GetCalcFunction(var f: TCalcFunction); override;
  end;

implementation

uses
  Math;

// TVariationJulia3D

///////////////////////////////////////////////////////////////////////////////
constructor TVariationJulia3D.Create;
begin
  N := random(5) + 2;
  if random(2) = 0 then N := -N;
end;

procedure TVariationJulia3D.Prepare;
begin
  absN := abs(N);
  cN := 1 / N / 2;
end;

///////////////////////////////////////////////////////////////////////////////
procedure TVariationJulia3D.GetCalcFunction(var f: TCalcFunction);
begin
  if N = 2 then f := CalcPower2
  else if N = -2 then f := CalcPowerMinus2
  else if N = 1 then f := CalcPower1
  else if N = -1 then f := CalcPowerMinus1
  else f := CalcFunction;
end;

///////////////////////////////////////////////////////////////////////////////
procedure TVariationJulia3D.CalcFunction;
{$ifndef _ASM_}
var
  r, r2d: double;
  sina, cosa: extended;
begin
  r2d := sqr(FTx^) + sqr(FTy^);
  r := vvar * Math.Power(r2d, cN);

  FPz^ := FPz^ + r * FTz^ / (sqrt(r2d) * absN);

  sincos((arctan2(FTy^, FTx^) + 2*pi*random(absN)) / N, sina, cosa);
  FPx^ := FPx^ + r * cosa;
  FPy^ := FPy^ + r * sina;
{$else}
asm
    mov     edx, [eax + FTx]
    fld     qword ptr [edx]     // FTx
    fld     qword ptr [edx + 8] // FTy
    fld     st(1)
    fmul    st, st
    fld     st(1)
    fmul    st, st
    faddp
    fld     qword ptr [eax + cN]
    fld     st(1)
//  ---  x^y = 2^(y*log2(x))
    fyl2x
    fld     st
    frndint
    fsub    st(1), st
    fxch    st(1)
    f2xm1
    fld1
    fadd
    fscale
    fstp    st(1)
//  ---
    fmul    qword ptr [eax + vvar]

    fxch    st(1)
    fsqrt
    fimul   dword ptr [eax + absN]
    fdivr   st, st(1)
    fmul    qword ptr [edx + 32] // FTz
    fadd    qword ptr [edx + 40] // FPz
    fstp    qword ptr [edx + 40]

    fxch    st(2)
    fpatan
    mov     ecx, eax
    mov     eax, dword ptr [eax + absN]
    call    System.@RandInt
    push    eax
    fild    dword ptr [esp]
    add     esp, 4
    fldpi
    fadd    st, st
    fmulp
    faddp
    fidiv   dword ptr [ecx + N]

    fsincos
    fmul    st, st(2)

    mov     edx, [ecx + FPx]
    fadd    qword ptr [edx] // FPx
    fstp    qword ptr [edx]
    fmulp
    fadd    qword ptr [edx + 8] // FPy
    fstp    qword ptr [edx + 8]
    fwait
{$endif}
end;

procedure TVariationJulia3D.CalcPower2;
{$ifndef _ASM_}
var
  r, r2d: double;
  sina, cosa: extended;
begin
  r2d := sqrt(sqr(FTx^) + sqr(FTy^));
  r := vvar * sqrt(r2d);

  FPz^ := FPz^ + r * FTz^ / r2d / 2;

  sincos((arctan2(FTy^, FTx^)/2 + pi*random(2)), sina, cosa);
  FPx^ := FPx^ + r * cosa;
  FPy^ := FPy^ + r * sina;
{$else}
asm
    mov     edx, [eax + FTx]
    fld     qword ptr [edx + 8] // FTy
    fld     qword ptr [edx]     // FTx
    fld     st(1)
    fld     st(1)
    fpatan
    fld1
    fadd    st, st
    fdivp   st(1), st
    mov     ecx, eax
    mov     eax, 2
    call    System.@RandInt
    fldpi
    push    eax
    fimul   dword ptr [esp]
    add     esp, 4
    faddp

    fxch    st(2)
    fmul    st, st
    fxch    st(1)
    fmul    st, st
    faddp
    fsqrt

    fld     st

    fsqrt
    fmul    qword ptr [ecx + vvar]

    fxch    st(1)
    fadd    st, st
    fdivr   st, st(1)
    
    mov     edx, [ecx + FPx]
    fmul    qword ptr [edx + $10] // FTz
    fadd    qword ptr [edx + $18] // FPz
    fstp    qword ptr [edx + $18]

    fxch    st(1)

    fsincos

    fmul    st, st(2)
    fadd    qword ptr [edx] // FPx
    fstp    qword ptr [edx]
    fmulp
    fadd    qword ptr [edx + 8] // FPy
    fstp    qword ptr [edx + 8]
    fwait
{$endif}
end;

procedure TVariationJulia3D.CalcPowerMinus2;
{$ifndef _ASM_}
var
  r, r2d: double;
  sina, cosa: extended;
begin
  r2d := sqrt(sqr(FTx^) + sqr(FTy^));
  r := vvar / sqrt(r2d);

  FPz^ := FPz^ + r * FTz^ / r2d / 2;

  sincos(pi*random(2) - arctan2(FTy^, FTx^)/2, sina, cosa);
  FPx^ := FPx^ + r * cosa;
  FPy^ := FPy^ + r * sina;
{$else}
asm
    mov     edx, [eax + FTx]
    fld     qword ptr [edx + 8] // FTy
    fld     qword ptr [edx]     // FTx
    fld     st(1)
    fld     st(1)
    fpatan
    fld1
    fadd    st, st
    fdivp   st(1), st
    mov     ecx, eax
    mov     eax, 2
    call    System.@RandInt
    fldpi
    push    eax
    fimul   dword ptr [esp]
    add     esp, 4
    faddp

    fxch    st(2)
    fmul    st, st
    fxch    st(1)
    fmul    st, st
    faddp
    fsqrt

    fld     st

    fsqrt
    fdivr   qword ptr [ecx + vvar]

    fxch    st(1)
    fadd    st, st
    fdivr   st, st(1)
    mov     edx, [ecx + FPx]
    fmul    qword ptr [edx + $10] // FTz
    fadd    qword ptr [edx + $18]
    fstp    qword ptr [edx + $18]

    fxch    st(1)
    fsincos

    fmul    st, st(2)
    mov     edx, [ecx + FPx]
    fadd    qword ptr [edx] // FPx
    fstp    qword ptr [edx]
    fmulp
    fsubr   qword ptr [edx + 8] // FPy
    fstp    qword ptr [edx + 8]
    fwait
{$endif}
end;

procedure TVariationJulia3D.CalcPower1;
{$ifndef _ASM_}
begin
  FPx^ := FPx^ + vvar * FTx^;
  FPy^ := FPy^ + vvar * FTy^;
  FPz^ := FPz^ + vvar * FTz^;
{$else}
asm
    fld     qword ptr [eax + vvar]
    mov     edx, [eax + FTx]
    fld     qword ptr [edx]      // FTx
    fmul    st, st(1)
    fadd    qword ptr [edx + 16] // FPx
    fstp    qword ptr [edx + 16]

    fld     qword ptr [edx + 8]  // FTy
    fmul    st, st(1)
    fadd    qword ptr [edx + 24] // FPy
    fstp    qword ptr [edx + 24]

    fmul    qword ptr [edx + 32] // FTz
    fadd    qword ptr [edx + 40] // FPz
    fstp    qword ptr [edx + 40]

    fwait
{$endif}
end;

procedure TVariationJulia3D.CalcPowerMinus1;
{$ifndef _ASM_}
var
  r: double;
begin
  r := vvar / (sqr(FTx^) + sqr(FTy^));

  FPx^ := FPx^ + r * FTx^;
  FPy^ := FPy^ - r * FTy^;
  FPz^ := FPz^ + r * FTz^;
{$else}
asm
    mov     edx, [eax + FTx]
    fld     qword ptr [edx + 8] // FTy
    fld     qword ptr [edx]     // FTx
    fld     st(1)
    fmul    st, st
    fld     st(1)
    fmul    st, st
    faddp
    fdivr   qword ptr [eax + vvar]

    fmul    st(2), st
    fmul    st(1), st
    fmul    qword ptr [edx + 32] // FTz
    fadd    qword ptr [edx + 40] // FPz
    fstp    qword ptr [edx + 40]

    fadd    qword ptr [edx + 16] // FPx
    fstp    qword ptr [edx + 16]
    fsubr   qword ptr [edx + 24] // FPy
    fstp    qword ptr [edx + 24]
    fwait
{$endif}
end;

///////////////////////////////////////////////////////////////////////////////
class function TVariationJulia3D.GetInstance: TBaseVariation;
begin
  Result := TVariationJulia3D.Create;
end;

///////////////////////////////////////////////////////////////////////////////
class function TVariationJulia3D.GetName: string;
begin
  Result := var_name;
end;

///////////////////////////////////////////////////////////////////////////////
class function TVariationJulia3D.GetVariableNameAt(const Index: integer): string;
begin
  case Index of
    0: Result := var_n_name;
  else
    Result := '';
  end
end;

///////////////////////////////////////////////////////////////////////////////
function TVariationJulia3D.SetVariable(const Name: string; var value: double): boolean;
begin
  Result := False;
  if Name = var_n_name then begin
    N := Round(Value);
    if N = 0 then N := 1;
    Value := N;
    Result := True;
  end;
end;

function TVariationJulia3D.ResetVariable(const Name: string): boolean;
begin
  Result := False;
  if Name = var_n_name then begin
    if N = 2 then N := -2
    else N := 2;
    Result := True;
  end;
end;

///////////////////////////////////////////////////////////////////////////////
class function TVariationJulia3D.GetNrVariables: integer;
begin
  Result := 1;
end;

///////////////////////////////////////////////////////////////////////////////
function TVariationJulia3D.GetVariable(const Name: string; var value: double): boolean;
begin
  Result := False;
  if Name = var_n_name then begin
    Value := N;
    Result := true;
  end;
end;

///////////////////////////////////////////////////////////////////////////////
initialization
  RegisterVariation(TVariationJulia3D);
end.
