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unit CustomFormulas;
interface
uses DivUtils, SysUtils, FileHandling, TypeDefinitions, JITFormulas;
function LoadCustomFormulaFromHeader(var CustomFname: array of Byte;
var lCustomFormula: TCustomFormula;
var dOptionVars: array of Double): Boolean;
function LoadCustomFormula(FileName: String; var lCustomFormula: TCustomFormula;
var CustomFname: array of Byte; var dOptionValues: array of Double; bVerbose: LongBool;
MinModTime: TDatetime; ParseResult: TJITFormula; const IgnoreCodeError: Boolean): Boolean;
function AssignCustomFormula(CF1, CF2: PTCustomFormula): LongBool;
procedure FillCustomVBufWithVars(CF1: PTCustomFormula; dOptionValues: array of Double{;isAlt: LongBool});
procedure IniCustomF(CF: PTCustomFormula);
procedure FreeCF(CF: PTCustomFormula);
procedure ParseCFfromOld(iFormula: Integer; CF: PTCustomFormula;
dOptionValues: array of Double);
procedure MakeCustomFsFromHeader(Header: TMandHeader10{; isAlt: LongBool});
procedure SetCFoptionsFromOldF(f: Integer; CF: PTCustomFormula);
procedure CopyTypeAndOptionFromCFtoHAddon(CF: PTCustomFormula; HA: PTHeaderCustomAddon; fnr: Integer{; bLoadedPars: LongBool});
function CanLoadCustomFormula(FileName: String; var DEfunction: Integer): Boolean;
function CanLoadF(FormulaName: String): Boolean;
function Is4Dtype(Header: TPMandHeader10): LongBool;
function isInternFormula(FName: String; var i: Integer): LongBool;
function DescrOfFName(FName: String): String;
function SameFName(Fn1, Fn2: String): LongBool;
procedure ResetFormulas(HAddon: PTHeaderCustomAddon);
function isIntType(ftype: Integer): LongBool;
function isAngleType(ftype: Integer): LongBool;
procedure CheckHybridOptions(pHCA: PTHeaderCustomAddon);
var CFdescription: String;
CFdescriptionIntern: array[0..9] of String = (
'The triplex math sine bulb, as suggested by Daniel White and Paul Nylander. These are fast implementions of powers of 2,3,4,5,6,7 and 8.'+
#13#10+#13#10+'If you want to make an animation with smooth power changings, please use the ''Real Power'' formula.',
'The sine bulb where arbitrary power values can be used, the calculation is slower than of integer powers.'+#13#10+#13#10+
'r = sqrt(x*x + y*y + z*z)'+#13#10+
'th = ArcTan2(y, x) * Float_power'+#13#10+
'ph = ArcSin(z/r) * Float_power'+#13#10+
'r = Power(r, Float_power)'+#13#10+
'x = r * cos(ph) * cos(th) + Cx'+#13#10+
'y = r * cos(ph) * sin(th) + Cy'+#13#10+
'z = Z_multiplier * r * sin(ph) + Cz',
'A 4d quaternion formula, one iteration:'+#13#10+#13#10+
'x'' = x*x - y*y - z*z - w*w + Cx'+#13#10+
'y'' = 2*(y*x + z*w) + Cy'+#13#10+
'z'' = 2*(z*x + YW_multiplier*y*w) + Cz'+#13#10+
'w'' = 2*(w*x + y*z) + W_add + Cw',
'', //Tricorn
'The ''Amazing Box'' aka Mandbox formula, invented by TGlad at fractalforums.com.'+#13#10+#13#10+
'The formula for one iteration looks like this:'+#13#10+#13#10+
'x = abs(x+Fold) - abs(x-Fold) - x'+#13#10+
'y = abs(y+Fold) - abs(y-Fold) - y'+#13#10+
'z = abs(z+Fold) - abs(z-Fold) - z'+#13#10+
'rr = x*x + y*y + z*z'+#13#10+
'if rr < sqr(Min_R) then m = Scale/sqr(Min_R) else'+#13#10+
'if rr < 1 then m = Scale/rr else m = Scale'+#13#10+
'x = x * m + Cx'+#13#10+
'y = y * m + Cy'+#13#10+
'z = z * m + Cz',
'A hybrid of a sine power 2 bulb and the amazing box, the 3d vector length decides which formula is used:'+#13#10+
'If it is bigger than ''Box/Bulb R threshold'' the amazing box is used, else if smaller than ''..threshold 2'' the sine bulb,'+#13#10+
'inbetween both formulas will be interpolated. Make the second threshold a little smaller than the first for more smoothness.',
'A sine integer power bulb with foldings before, like in the amazing box.', '', '',
'A bulb formula as suggested by Aexion:'+#13#10+ //Aexion rotate c [Power, Z mul, Enable RotC (0,1), Cond Phi (0,1), Power C, Cz mul]
'http://www.fractalforums.com/the-3d-mandelbulb/iterating-c/'+#13#10#13#10+
'Added two options to power-rotate the Constant by the distance of the current vectors of Z and C (Cond Phi=1),'+#13#10+
'and the following Mode options:' +#13#10+
'(Bits of Mode value)' +#13#10+
'Bit1: Flip atan theta components' +#13#10+
'Bit2: Flip atan phi components' +#13#10+
'Bit3: Flip theta and phi' +#13#10+
'Bit4: Flip CyCz for angle calc' +#13#10+
'Bit5: Multiply powerC by the distance of vector Z and C');
InternFNames: String = '.Integer Power.Real Power.Quaternion.Tricorn..Amazing Box.Bulbox.Folding Int Pow.test..testIFS....Aexion C.';
//2 17 28 39 48 60 67 83 89 100
Fdescription: array of String; //div11 1 2 3 4 5 6 7 8 9
FdescrName: array of String;
FdescrModTime: array of TDateTime;
FdescCount: Integer = 0;
const
actFormulaId: Integer = 9;
implementation
uses Mand, Math, Dialogs, Windows, Math3D, formulas, FormulaGUI, HeaderTrafos, FormulaCompiler,
Classes, CompilerUtil;
procedure CheckHybridOptions(pHCA: PTHeaderCustomAddon);
var x, end1, repeat1, start2, end2, repeat2: Integer;
begin
if (pHCA.bOptions1 and 3) = 1 then
begin //ipol hybrid
end1 := 0;
repeat1 := 0;
start2 := 1;
end2 := 5;
repeat2 := 1;
end
else
begin
x := 5;
while (x > 0) and (pHCA.Formulas[x].iItCount = 0) do Dec(x);
start2 := Max(1, Min(x, pHCA.bHybOpt2 and 7));
if (pHCA.bOptions1 and 3) = 0 then end1 := x else end1 := start2 - 1;
end2 := Max(start2, x);
repeat2 := Max(start2, Min(end2, (pHCA.bHybOpt2 shr 8) and 7)); //start2, end2, repeat2 3x 4bit
x := end1;
while (x > 0) and (pHCA.Formulas[x].iItCount <= 0) do Dec(x);
repeat1 := Min(x, pHCA.bHybOpt1 shr 4);
if (pHCA.bOptions1 and 3) = 2 then
begin
x := 5;
while (x > start2) and (pHCA.Formulas[x].iItCount <= 0) do Dec(x);
repeat2 := Min(x, repeat2);
end;
end;
pHCA.bHybOpt1 := end1 or (repeat1 shl 4);
pHCA.bHybOpt2 := start2 or (end2 shl 4) or (repeat2 shl 8);
end;
procedure InsertDescription(Fname, Fdescr: String; ModTime: TDateTime);
var i: Integer;
bIn: LongBool;
begin
bIn := False;
for i := 0 to FdescCount - 1 do
begin
if SameText(Fname, FdescrName[i]) then
begin
if High(Fdescription) < i then SetLength(Fdescription, i + 1);
Fdescription[i] := Fdescr;
FdescrModTime[i] := ModTime;
bIn := True;
Break;
end;
end;
if not bIn then
begin
Inc(FdescCount);
i := FdescCount;
SetLength(FdescrName, i);
SetLength(Fdescription, i);
SetLength(FdescrModTime, i);
Dec(i);
FdescrName[i] := Fname;
Fdescription[i] := Fdescr;
FdescrModTime[i] := ModTime;
end;
end;
function SameFName(Fn1, Fn2: String): LongBool;
begin
Result := UpperCase(Trim(Fn1)) = UpperCase(Trim(Fn2));
end;
function DescrOfFName(FName: String): String;
var i: Integer;
begin
Result := '';
if isInternFormula(FName, i) then
begin
Result := CFdescriptionIntern[i];
Exit;
end;
for i := 0 to FdescCount - 1 do if SameFName(FName, FdescrName[i]) then
begin
Result := Fdescription[i];
Break;
end;
end;
procedure ResetFormulas(HAddon: PTHeaderCustomAddon);
var n: Integer;
begin
for n := 0 to 5 do
with HAddon.Formulas[n] do
begin
iItCount := 0;
iFnr := -1;
iOptionCount := 0;
CustomFname[0] := 0;
end;
end;
function isInternFormula(FName: String; var i: Integer): LongBool;
var s: String;
begin
s := Trim(FName);
Result := False;
i := -1;
if s <> '' then
begin
s := '.' + s + '.';
i := Pos(s, InternFNames);
if i > 0 then
begin
i := (i + 1) div 11;
Result := True;
end
else i := -1;
end;
end;
function isIntType(ftype: Integer): LongBool;
begin
Result := ftype in [2, 10, 20];
end;
function isAngleType(ftype: Integer): LongBool;
begin
Result := ftype in [3..6, 12];
end;
{function isAngleTypeIpol(ftype: Integer): LongBool;
begin
Result := ftype in [3..6, 12, 18, 19];
end; }
procedure CopyTypeAndOptionFromCFtoHAddon(CF: PTCustomFormula; HA: PTHeaderCustomAddon; fnr: Integer{; bLoadedPars: LongBool});
var i: Integer;
begin
for i := 0 to 15 do
HA.Formulas[fnr].byOptionType[i] := CF.byOptionTypes[i];
{ if bLoadedPars and (HA.Formulas[fnr].iOptionCount < CF.iCFOptionCount) then
begin // HA.Formulas[fnr].wOptionCountLoaded := HA.Formulas[fnr].wOptionCount; + fill all above loadedcount with defaults when loading formula?
for i := HA.Formulas[fnr].iOptionCount to CF.iCFOptionCount - 1 do
HA.Formulas[fnr].dOptionValue[i] := 0; //not zero.. ini val, done in IniCFs...
end; }
HA.Formulas[fnr].iOptionCount := CF.iCFOptionCount;
end;
procedure SetCFoptionsFromOldF(f: Integer; CF: PTCustomFormula);
var i: Integer;
const
sa: array[0..9, 0..1] of String = (('Integer power (2..8)','Z multiplier'),
('Float power','Z multiplier'),('YW multiplier','W add'),('Z multiplier','CZ multiplier'),
('Scale','Min R'),('Box Scale','Box Min R'),('Integer power (2..8)','Z multiplier'),('',''),('',''),
('Float power','Z multiplier'));
begin
if f in [0..9] then
with CF^ do
begin
for i := 0 to 15 do byOptionTypes[i] := 0; //Double //write of in m3i load stream
if f in [0, 6] then byOptionTypes[0] := 10; //IntPow=NoVar
if f in [4, 5] then byOptionTypes[1] := 7; //AmazBoxMinR
iCFOptionCount := 2;
for i := 0 to 1 do sOptionStrings[i] := sa[f][i];
if f = 4 then
begin
iCFOptionCount := 3;
sOptionStrings[2] := 'Fold';
byOptionTypes[2] := 11; //Folding16 R,R,-R,-R
end
else if f = 5 then //BulBox
begin
iCFOptionCount := 6;
sOptionStrings[2] := 'Box fold';
sOptionStrings[3] := 'Bulb scaling';
sOptionStrings[4] := 'Box/Bulb R threshold';
sOptionStrings[5] := 'Box/Bulb R threshold 2';
byOptionTypes[2] := 11; //Folding16 R,R,-R,-R
byOptionTypes[3] := 0; //13: reciproc
byOptionTypes[4] := 9; //Squared
byOptionTypes[5] := 9;
end
else if f = 6 then //FoldInt
begin
iCFOptionCount := 3;
byOptionTypes[2] := 8;
sOptionStrings[2] := 'R fold';
end
else if f = 7 then
begin
iCFOptionCount := testhybridOptionCount;
for i := 0 to iCFOptionCount - 1 do
begin
sOptionStrings[i] := testhybridOptionsStrings[i];
byOptionTypes[i] := testhybridOptionTypes[i];
end;
end
else if f = 8 then
begin
iCFOptionCount := testIFSOptionCount;
for i := 0 to iCFOptionCount - 1 do
begin
sOptionStrings[i] := testIFSOptionsStrings[i];
byOptionTypes[i] := testIFSOptionTypes[i];
end;
end
else if f = 9 then //Aexion rotate c [Power, Z mul, Enable RotC (0,1), Cond Phi (0,1), Power C, Cz mul, PowC on dist Z-C, Mod (0,1) ]
begin
iCFOptionCount := 8;
sOptionStrings[2] := 'Enable rotate C (0,1)';
sOptionStrings[3] := 'Condi. Phi (0,1)';
sOptionStrings[4] := 'Float power C';
// sOptionStrings[5] := 'Pow C multiplier';
sOptionStrings[5] := 'Cz multiplier';
sOptionStrings[6] := 'PowC on dist Vec-C (0,1)';
sOptionStrings[7] := 'Mode (0..31)';
byOptionTypes[2] := 2;
byOptionTypes[3] := 2;
byOptionTypes[6] := 2;
byOptionTypes[7] := 2;
end;
end;
end;
procedure ParseCFfromOld(iFormula: Integer; CF: PTCustomFormula;
dOptionValues: array of Double);
var f: Integer;
const
ds: array[0..9] of Double = (1,1,1,1,0.2,0.2,0.5,1,1,1);
begin
if iFormula in [0..9] then
with CF^ do
begin
f := iFormula;
SetCFoptionsFromOldF(f, CF);
SIMDlevel := 0;
dDEscale := ds[f];
dADEscale := 1;
if f = 0 then dSIpow := Min(8, Max(2, dOptionValues[0])) else
if f in [1, 9] then dSIpow := NonZero(dOptionValues[0]) else dSIpow := 2;
dRstop := 16;
iConstCount := 0;
iDEoption := 0;
iVersion := 3;
if f in [4, 5, 6] then dRstop := 1024;
SetLength(VarBuffer, 1024);
pConstPointer16 := Pointer((Integer(@VarBuffer[0]) + 271) and $FFFFFFF0);
FastMove(PAligned16^, pConstPointer16^, 216);
if bCPmemReserved and (Pointer(pCodePointer) <> nil) then
VirtualFree(pCodePointer, {0}4096, {MEM_RELEASE} MEM_DECOMMIT);
bCPmemReserved := False;
case f of
0: ThybridIteration(pCodePointer) := fHIntFunctions[Round(dSIpow)];
1: ThybridIteration(pCodePointer) := HybridFloatPow;
2: begin
ThybridIteration(pCodePointer) := fHybridQuat;
iDEoption := 4;
end;
3: ThybridIteration(pCodePointer) := HybridItTricorn;
4: begin
ThybridIteration(pCodePointer) := fHybridCubeDE;
iDEoption := 11;
end;
5: ThybridIteration(pCodePointer) := HybridSuperCube2; //todo: all powers with: ThybridIteration(pCodePointer) := fHIntFunctions[Round(dSIpow)];
6: ThybridIteration(pCodePointer) := HybridFolding;
7: begin
ThybridIteration(pCodePointer) := TestHybrid;
iDEoption := testhybridDEoption;
dRstop := testhybridRstop;
dDEscale := testhybridDEscale;
dSIpow := testhybridPow;
{ pCodePointer := VirtualAlloc(nil, 4096, MEM_COMMIT, PAGE_EXECUTE_READWRITE);
FastMove(TestHybrid, pCodePointer^, 4096);
//ThybridIteration(pCodePointer) := TestHybrid;
bCPmemReserved := True; }
end;
8: begin
TIFSIteration(pCodePointer) := HybridCustomIFStest;
iDEoption := testIFSDEoption;
end;
9: ThybridIteration(pCodePointer) := AexionC;
end;
end;
end;
procedure IniCustomF(CF: PTCustomFormula);
begin
CF.iCFOptionCount := 0;
CF.iConstCount := 0;
CF.pConstPointer16 := nil;
CF.pCodePointer := nil;
CF.LastModTime := 0;
// CF.LastCFloaded := '';
CF.bCPmemReserved := False;
end;
procedure FreeCF(CF: PTCustomFormula);
begin
if CF.bCPmemReserved and (Pointer(CF.pCodePointer) <> nil) then
VirtualFree(CF.pCodePointer, {0}4096, {MEM_RELEASE} MEM_DECOMMIT);
CF.bCPmemReserved := False;
Pointer(CF.pCodePointer) := nil;
SetLength(CF.VarBuffer, 0);
end;
procedure FillCustomVBufWithVars(CF1: PTCustomFormula; dOptionValues: array of Double);
var i, j, l: Integer;
p, ps: PSingle;
pd: PDouble;
M: TMatrix3;
MS4: TSMatrix4;
da: array[0..5] of Double;
const MemNeeded: array[0..22] of Integer = (8,4,4,16,8,72,36,16,40,8,0,32,64,8,
16,8,8,16,36,8,8,8,16);
begin
with CF1^ do //10: Fold with only R and 2R
begin //iOptionTypes[i] 0 1 2 3 4 5 6 7 (MinR) 8 Rthr 9 Double, will be squared
p := pConstPointer16; //'.DOUBLE.SINGLE.INTEGER.DOUBLEANGLE.SINGLEANGLE.3DOUBLEANGLES.3SINGLEANGLES.BOXSCALE.FOLDING.DSQUARE.
Dec(p, 2); // NOVARIABLE.FOLDING16.6SINGLEANGLES.DRECIPRO.2DOUBLES..DSQRRECI...2SINGLES.4SINGLES..3SCALESANGLES.SCALESROT.2INTEGER.SRECI2.DRECI2';
// 10 11 12 13 14 15 16 17 18 19 20 21 22
PDouble(p)^ := 0.5; //AmazingBox vars: scale=double, MinR=boxscale: Scale/Sqr(MinR), Sqr(MinR)
//BulBox: scale=double, MinR=boxscale, BulbScale=double, Rthreshold=double ^2
i := 0; //FoldInt: IntPow=novar, Zmul=double, FoldR=folding
while i < Min(16, iCFOptionCount) do
begin
pd := @M[0, 0];
if (Integer(pConstPointer16) - Integer(p) + MemNeeded[byOptionTypes[i]]) < 257 then
case byOptionTypes[i] of
0: begin
Dec(p, 2);
PDouble(p)^ := dOptionValues[i];
end;
1: begin
Dec(p);
p^ := dOptionValues[i];
end;
2: begin
Dec(p);
PInteger(p)^ := Round(dOptionValues[i]);
end;
3: begin
Dec(p, 2);
PDouble(p)^ := Sin(dOptionValues[i] * Pid180);
Dec(p, 2);
PDouble(p)^ := Cos(dOptionValues[i] * Pid180);
end;
4: begin
Dec(p);
p^ := Sin(dOptionValues[i] * Pid180);
Dec(p);
p^ := Cos(dOptionValues[i] * Pid180);
end;
5: begin
BuildRotMatrix(dOptionValues[i] * Pid180, dOptionValues[i + 1] * Pid180,
dOptionValues[i + 2] * Pid180, @M);
for j := 0 to 8 do
begin
Dec(p, 2);
PDouble(p)^ := pd^;
Inc(pd);
end;
Inc(i, 2);
end;
6: begin //3SINGLEANGLES
BuildRotMatrix(dOptionValues[i] * Pid180, dOptionValues[i + 1] * Pid180,
dOptionValues[i + 2] * Pid180, @M);
for j := 0 to 8 do
begin
Dec(p);
p^ := pd^;
Inc(pd);
end;
Inc(i, 2);
end;
7: begin //Scale/Sqr(MinR), Sqr(MinR)
Dec(p, 2);
PDouble(p)^ := dOptionValues[i - 1] / Sqr(Max(1e-40, dOptionValues[i]));
Dec(p, 2);
PDouble(p)^ := Sqr(Max(1e-40, dOptionValues[i]));
end;
8: begin //Folding R,2R,-R,-2R
Dec(p, 2);
PDouble(p)^ := dOptionValues[i];
Dec(p, 2);
PDouble(p)^ := 2 * dOptionValues[i];
Dec(p, 2);
PDouble(p)^ := -dOptionValues[i];
Dec(p, 2);
PDouble(p)^ := -2 * dOptionValues[i];
Dec(p);
if i > 1 then TPhybridIteration(p)^ := fHIntFunctions[Max(2, Min(8, Round(dOptionValues[i - 2])))];
end;
9: begin
Dec(p, 2);
PDouble(p)^ := Sqr(dOptionValues[i]);
end;
11: begin //Folding16 R,R,-R,-R
Dec(p, 2);
PDouble(p)^ := dOptionValues[i];
Dec(p, 2);
PDouble(p)^ := dOptionValues[i];
Dec(p, 2);
PDouble(p)^ := -dOptionValues[i];
Dec(p, 2);
PDouble(p)^ := -dOptionValues[i];
end;
12: begin
for j := 0 to 5 do da[j] := dOptionValues[i + j] * pid180;
BuildRotMatrix4d(da, MS4);
ps := @MS4[0];
for j := 0 to 15 do
begin
Dec(p);
p^ := ps^;
Inc(ps);
end;
Inc(i, 5);
end;
13: begin
Dec(p, 2);
PDouble(p)^ := 1 / MaxAbsCD(1e-40, dOptionValues[i]);
end;
14: begin //for SSE2
Dec(p, 2);
PDouble(p)^ := dOptionValues[i];
Dec(p, 2);
PDouble(p)^ := dOptionValues[i];
end;
15: begin
Dec(p, 2);
PDouble(p)^ := 1 / MaxCD(1e-40, Sqr(dOptionValues[i]));
end;
16,17: begin
if byOptionTypes[i] = 17 then l := 4 else l := 2;
repeat
Dec(p);
p^ := dOptionValues[i];
Dec(l)
until l = 0;
end;
18: begin //3SCALESANGLES
BuildRotMatrix(dOptionValues[i + 1] * Pid180, dOptionValues[i + 2] * Pid180,
dOptionValues[i + 3] * Pid180, @M);
ScaleMatrix(dOptionValues[i], @M);
for j := 0 to 8 do
begin
Dec(p);
p^ := pd^;
Inc(pd);
end;
Inc(i, 3);
end;
19: begin //SCALESROT 2d scaled rotation , cos, sin
Dec(p);
p^ := Sin(dOptionValues[i + 1] * Pid180) * dOptionValues[i];
Dec(p);
p^ := Cos(dOptionValues[i + 1] * Pid180) * dOptionValues[i];
Inc(i);
end;
20: begin
Dec(p);
PInteger(p)^ := Round(dOptionValues[i]);
Dec(p);
PInteger(p)^ := Round(dOptionValues[i]);
end;
21: begin //.SRECI2 single + reciproc single
Dec(p);
p^ := dOptionValues[i];
Dec(p);
p^ := 1 / MaxCS(s1em30, dOptionValues[i]);
end;
22: begin //.DRECI2
Dec(p, 2);
PDouble(p)^ := dOptionValues[i];
Dec(p, 2);
PDouble(p)^ := 1 / MaxCD(d1em40, dOptionValues[i]);
end;
end;
Inc(i);
end;
end;
end;
procedure MakeCustomFsFromHeader(Header: TMandHeader10);
var i, n: Integer;
CF: PTCustomFormula;
dOptionVtmp: array[0..15] of Double;
begin
if (PTHeaderCustomAddon(Header.PCFAddon).bOptions1 and 3) = 1 then n := 1 else n := 5;
for i := 0 to n do
with PTHeaderCustomAddon(Header.PCFAddon).Formulas[i] do
if (n = 1) or (iItCount > 0) then
begin
CF := PTCustomFormula(Header.PHCustomF[i]);
if iFnr < 20 then
begin
if iFnr < 0 then
begin
iItCount := 0;
Break;
end
else ParseCFfromOld(iFnr, CF, dOptionValue); //dOPtionVals only read for CF
end
else
begin //to not overwrite actual vars with defaults
if not LoadCustomFormulaFromHeader(CustomFname, CF^, dOptionVtmp) then
begin
iItCount := 0;
Break;
end;
end;
FillCustomVBufWithVars(CF, dOptionValue);
end;
end;
function AssignCustomFormula(CF1, CF2: PTCustomFormula): LongBool; //only after filling with vars
var i: Integer;
begin
if (CF2 <> nil) and (CF2.pCodePointer <> nil) then
with CF1^ do
begin
for i := 0 to 15 do
begin
sOptionStrings[i] := CF2.sOptionStrings[i];
byOptionTypes[i] := CF2.byOptionTypes[i];
end;
SIMDlevel := CF2.SIMDlevel;
iCFOptionCount := CF2.iCFOptionCount;
dDEscale := CF2.dDEscale;
dADEscale := CF2.dADEscale;
dSIpow := CF2.dSIpow;
dRstop := CF2.dRstop;
iConstCount := CF2.iConstCount;
iDEoption := CF2.iDEoption;
iVersion := CF2.iVersion;
LastModTime := CF2.LastModTime;
SetLength(VarBuffer, 1024);
pConstPointer16 := Pointer((Integer(@VarBuffer[0]) + 271) and $FFFFFFF0);
FastMove(Pointer(Integer(CF2.pConstPointer16) - 256)^, Pointer(Integer(pConstPointer16) - 256)^, 1008);
if (not bCPmemReserved) and CF2.bCPmemReserved then
pCodePointer := VirtualAlloc(nil, 4096, {MEM_RESERVE} MEM_COMMIT, PAGE_EXECUTE_READWRITE);
if bCPmemReserved and (not CF2.bCPmemReserved) then
VirtualFree(pCodePointer, {0}4096, {MEM_RELEASE} MEM_DECOMMIT);
bCPmemReserved := CF2.bCPmemReserved;
if bCPmemReserved then FastMove(CF2.pCodePointer^, pCodePointer^, 4096)
else pCodePointer := CF2.pCodePointer; //existing formula
Result := True;
end
else Result := False;
end;
function CanLoadCustomFormula(FileName: String; var DEfunction: Integer): Boolean;
var n, iVersion, SIMDlevel: Integer;
f: TextFile;
s: String;
const
cOptions: String = '.SSE2.DESC.SIPO.RSTO.SSE3.SSSE.SSE4.VERS.DEOPTION';
procedure LoadNextStr;
begin
repeat
Readln(f, s);
s := Trim(s);
until EOF(f) or (s > '');
end;
begin
Result := False;
AssignFile(f, FileName);
try
SIMDlevel := 0;
iVersion := 0;
DEfunction := 0;
Reset(f);
LoadNextStr;
if s = '[OPTIONS]' then
begin
repeat
LoadNextStr;
n := Pos(UpCaseN(s, 5), cOPtions);
case n of
1: SIMDlevel := SIMDlevel or 1;
21: SIMDlevel := SIMDlevel or 2;
26: SIMDlevel := SIMDlevel or 4;
31: SIMDlevel := SIMDlevel or 8;
36: iVersion := StrToInt(StrLastWord(s));
41: DEfunction := StrToInt(StrLastWord(s));
end;
until EOF(f) or (s[1] = '[');
end;
Result := ((hasSIMDlevel and SIMDlevel) = SIMDlevel) and (iVersion in [2..actFormulaId]);
finally
CloseFile(f);
end;
end;
function CanLoadF(FormulaName: String): Boolean;
var df: Integer;
begin
Result := CanLoadCustomFormula(IncludeTrailingPathDelimiter(IniDirs[3]) + FormulaName + '.m3f', df);
end;
function LoadCustomFormula(FileName: String; var lCustomFormula: TCustomFormula;
var CustomFname: array of Byte; var dOptionValues: array of Double;
bVerbose: LongBool; MinModTime: TDatetime;
ParseResult: TJITFormula; const IgnoreCodeError: Boolean): Boolean;
var n, i, j: Integer;
f: TextFile;
s, s2, s3: String;
pb: PByte;
d: Double;
EndOfSection: Boolean;
Code: TStringList;
CompiledFormula: TCompiledArtifact;
Formulaname: String;
p: Pointer;
FreeParseResult: Boolean;
const //DEoption > 0 if analytic on X4
cOptions: String = '.SSE2.DESC.SIPO.RSTO.SSE3.SSSE.SSE4.VERS.DEOP.DIFS.ADES.';
cOptions2: String = '.DOUBLE.SINGLE.INTEGER.DOUBLEANGLE.SINGLEANGLE.3DOUBLEANGLES.3SINGLEANGLES.BOXSCALE.FOLDING.DSQUARE.'+
'NOVARIABLE.FOLDING16.6SINGLEANGLES.DRECIPRO.2DOUBLES..DSQRRECI..2SINGLES..4SINGLES..3SCALESANGLES.SCALESROT.2INTEGER..SRECI2....DRECI2.';
cVars: String = 'DOUBLINTINT64SINGLE';
sra: array[0..5] of String = (' YZ',' XZ',' XY',' XW',' YW',' ZW');
procedure LoadNextStr;
begin
repeat
Readln(f, s);
s := Trim(s);
until EOF(f) or (s > '');
end;
begin
Result := False;
AssignFile(f, FileName);
if Assigned(ParseResult) then begin
FreeParseResult := False;
end
else begin
ParseResult := TJITFormula.Create;
FreeParseResult := True;
end;
try
if FileExists(FileName) then with lCustomFormula do try
Formulaname := ExtractFilename( FileName );
ParseResult.Formulaname := Copy(Formulaname, 1, Length(Formulaname) - Length('.m3f'));
SetLength(VarBuffer, 1024);
pConstPointer16 := Pointer((Integer(@VarBuffer[0]) + 271) and $FFFFFFF0);
pb := PByte(pConstPointer16);
SIMDlevel := 0;
iCFOptionCount := 0;
iConstCount := 0;
iDEoption := 0;
iVersion := 0;
dSIpow := 0;
dDEscale := 1;
dADEscale := 1;
dRstop := 16;
Reset(f);
LoadNextStr;
if s = '[OPTIONS]' then
begin
repeat
LoadNextStr;
n := Pos(UpCaseN(s, 5), cOPtions);
case n of
1: begin
SIMDlevel := SIMDlevel or 1;
ParseResult.SetValue(vtOption, 'SSE2', dtString, '');
end;
6: begin
dDEscale := StrToFloatK(StrLastWord(s));
ParseResult.SetValue(vtOption, 'DEScale', dtDouble, dDEscale);
end;
11: begin
dSIpow := StrToFloatK(StrLastWord(s));
ParseResult.SetValue(vtOption, 'SIPow', dtDouble, dSIpow);
end;
16: begin
dRstop := StrToFloatK(StrLastWord(s));
ParseResult.SetValue(vtOption, 'RStop', dtDouble, dRstop);
end;
21: begin
SIMDlevel := SIMDlevel or 2;
ParseResult.SetValue(vtOption, 'SSE3', dtString, '');
end;
26: begin
SIMDlevel := SIMDlevel or 4;
ParseResult.SetValue(vtOption, 'SSEE', dtString, '');
end;
31: begin
SIMDlevel := SIMDlevel or 8;
ParseResult.SetValue(vtOption, 'SSE4', dtString, '');
end;
36: begin
iVersion := StrToInt(StrLastWord(s));
ParseResult.SetValue(vtOption, 'Version', dtInteger, iVersion);
end;
41: begin
iDEoption := StrToInt(StrLastWord(s));
ParseResult.SetValue(vtOption, 'DEoption', dtInteger, iDEoption);
end;
51: begin
dADEscale := StrToFloatK(StrLastWord(s)); //-6 -6
ParseResult.SetValue(vtOption, 'ADEscale', dtDouble, dADEscale);
end;
//9 16 23 31 43 55 63 87 86 94 102 113 129 137
else //1 8 15 23 35 47 61 75 84 92 100 111 121 129 138 148
begin //.DOUBLE.SINGLE.INTEGER.DOUBLEANGLE.SINGLEANGLE.3DOUBLEANGLES.3SINGLEANGLES.BOXSCALE.FOLDING.DSQUARE.NOVARIABLE.FOLDING16.6SINGLEANGLES.DRECIPRO.2DOUBLES..DSQRRECI.'
s2 := StrFirstWord(s); //.2SINGLES..4SINGLES..3SCALESANGLES.SCALESROT.
n := Pos(UpperCase(s2), cOPtions2); //158 168 178 192-4
if n > 50 then Dec(n, 6);
if n > 130 then Dec(n, 6);
if n > 180 then Dec(n, 4);
if (n > 0) and (iCFOptionCount < 16) then begin
byOptionTypes[iCFOptionCount] := (n + 8) div 10;
dOptionValues[iCFOptionCount] := StrToFloatK(StrLastWord(s));
s3 := StrSecondWord(s);
if byOptionTypes[iCFOptionCount] = 12 then //6 singleangles
begin
ParseResult.CanSave := False;
j := iCFOptionCount;
for i := 0 to 5 do
begin
byOptionTypes[iCFOptionCount] := 12;
dOptionValues[iCFOptionCount] := dOptionValues[j];
sOptionStrings[iCFOptionCount] := s3 + sra[i];
Inc(iCFOptionCount);
end;
Dec(iCFOptionCount);
end
else
begin
sOptionStrings[iCFOptionCount] := s3;
ParseResult.SetValue(vtParam, s3, dtDouble, dOptionValues[iCFOptionCount]);
if byOptionTypes[iCFOptionCount] in [5, 6] then begin
ParseResult.CanSave := False;
d := dOptionValues[iCFOptionCount];
sOptionStrings[iCFOptionCount] := s3 + ' X';
Inc(iCFOptionCount);
byOptionTypes[iCFOptionCount] := byOptionTypes[iCFOptionCount - 1];
dOptionValues[iCFOptionCount] := d;
sOptionStrings[iCFOptionCount] := s3 + ' Y';
Inc(iCFOptionCount);
byOptionTypes[iCFOptionCount] := byOptionTypes[iCFOptionCount - 1];
dOptionValues[iCFOptionCount] := d;
sOptionStrings[iCFOptionCount] := s3 + ' Z';
end
else if byOptionTypes[iCFOptionCount] = 18 then
begin
ParseResult.CanSave := False;
for i := 0 to 2 do
begin
Inc(iCFOptionCount);
byOptionTypes[iCFOptionCount] := 6;
sOptionStrings[iCFOptionCount] := 'Rotation ' + Chr(65 + i);
dOptionValues[iCFOptionCount] := 0;
end;
end
else if byOptionTypes[iCFOptionCount] = 19 then
begin
ParseResult.CanSave := False;
sOptionStrings[iCFOptionCount] := 'Scale ' + s3;
Inc(iCFOptionCount);
byOptionTypes[iCFOptionCount] := 6;
sOptionStrings[iCFOptionCount] := 'Rotation ' + s3;
dOptionValues[iCFOptionCount] := dOptionValues[iCFOptionCount - 1];
dOptionValues[iCFOptionCount - 1] := StrToFloatK(StrFirstWordAfterEqual(s));
end;
end;
Inc(iCFOptionCount);
end;
end;
end;
until n = 0;
if (hasSIMDlevel and SIMDlevel) < SIMDlevel then
begin
s := '';
if bVerbose then ShowMessage('This computer does not support the SIMD level required by this formula.')
else Mand3DForm.OutMessage('This computer does not support the SIMD level required by this formula.');
end;
end;
Result := (s > '') and (iVersion in [2..actFormulaId]);
if s > '' then
begin
if iVersion < 2 then
begin
if bVerbose then ShowMessage('The formula is an old one, only versions 2 to ' +
IntToStr(actFormulaId) + #13#10 + ' are allowed in this program version.')
else Mand3DForm.OutMessage('The formula is an old one, only versions 2 to ' + IntToStr(actFormulaId) + ' are allowed in this program version.');
end
else if iVersion > actFormulaId then
begin
if bVerbose then ShowMessage('This formula was designed for a more actual version of Mandelbulb 3D')
else Mand3DForm.OutMessage('This formula was designed for a more actual version of Mandelbulb 3D');
end;
end;
if not Result then s := '';
if s = '[CONSTANTS]' then
begin
repeat
LoadNextStr;
if (Length(s) > 1) and (s[1]='.') then begin
// new style constants with names
n := Pos(UpCaseN(Copy(s, 2, Length(s)-1), 5), cVars);
case n of
1: begin
PDouble(pb)^ := StrToFloatK(StrLastWord(s));
ParseResult.SetValue(vtConst, StrSecondWord(s), dtDouble, PDouble(pb)^ );
end;
6: begin
PInteger(pb)^ := StrToInt(StrLastWord(s));
ParseResult.SetValue(vtConst, StrSecondWord(s), dtInteger, PInteger(pb)^);
end;
9: begin
PInt64(pb)^ := StrToInt64(StrLastWord(s));
ParseResult.SetValue(vtConst, StrSecondWord(s), dtInt64, PInt64(pb)^);
end;
14: begin
PSingle(pb)^ := StrToFloatK(StrLastWord(s));
ParseResult.SetValue(vtConst, StrSecondWord(s), dtSingle, PSingle(pb)^);
end;
else
begin
Dec(pb, 8);
Dec(iConstCount);
end;
end;
end
else begin
n := Pos(UpCaseN(s, 5), cVars);
case n of
1: begin
PDouble(pb)^ := StrToFloatK(StrLastWord(s));
ParseResult.SetValue(vtConst, ParseResult.NextValueName(vtConst), dtDouble, PDouble(pb)^ );
end;
6: begin
PInteger(pb)^ := StrToInt(StrLastWord(s));
ParseResult.SetValue(vtConst, ParseResult.NextValueName(vtConst), dtInteger, PInteger(pb)^);
end;
9: begin
PInt64(pb)^ := StrToInt64(StrLastWord(s));
ParseResult.SetValue(vtConst, ParseResult.NextValueName(vtConst), dtInt64, PInt64(pb)^);
end;
14: begin
PSingle(pb)^ := StrToFloatK(StrLastWord(s));
ParseResult.SetValue(vtConst, ParseResult.NextValueName(vtConst), dtSingle, PSingle(pb)^);
end;
else
begin
Dec(pb, 8);
Dec(iConstCount);
end;
end;
end;
Inc(pb, 8);
Inc(iConstCount);
until (Length(s) > 0) and (s[1] = '[');
end;
if s = '[SOURCE]' then begin
Code := TStringList.Create;
try
repeat
Readln(f, s);
s2 := Trim(s);
EndOfSection := (Length(s2) > 0) and (s2[1] = '[') and (s2[Length(s2)]=']');
if not EndOfSection then
Code.Add(s);
until EOF(f) or EndOfSection;
if Code.Count > 0 then begin
ParseResult.Code := Code.Text;
CompiledFormula := TFormulaCompilerRegistry.GetCompilerInstance(langDELPHI).CompileFormula( ParseResult );
if CompiledFormula.IsValid then begin
ThybridIteration(pCodePointer) := CompiledFormula.CodePointer;
bCPmemReserved := False;
Result := True;
end
else begin
if IgnoreCodeError then
Result := True
else
raise Exception.Create(Code.Text+#13#10+ CompiledFormula.ErrorMessage.Text);
end;
end;
ParseResult.Code := Code.Text;
finally
Code.Free;
end;
end;
if s = '[CODE]' then
begin
if (not bCPmemReserved) or (pCodePointer = nil) then
pCodePointer := VirtualAlloc(nil, 4096, {MEM_RESERVE} MEM_COMMIT, PAGE_EXECUTE_READWRITE);
bCPmemReserved := True;
n := 0;
pb := Pointer(pCodePointer);
repeat
LoadNextStr;
if (Length(s) > 0) and (s[1] <> '[') then
begin
while (Length(s) > 1) and (n < 4095) do
begin
pb^ := StrToInt('$' + s[1] + s[2]);
Inc(pb);
Inc(n);
Delete(s, 1, 2);
end;
end;
until EOF(f) or (s = '[END]');
Result := (n > 10);
end;
if Result and (s='[END]') then
begin
CFdescription := '';
n := 0; //load formula description
repeat
Readln(f, s);
s := Trim(s);
until (Length(s) > 0) or EOF(f);
if Length(s) > 0 then
repeat
CFdescription := CFdescription + s + #13 + #10;
if EOF(f) then n := 100 else Readln(f, s);
Inc(n);
until n > 100;
LastModTime := GetFileModDate(FileName);
s3 := ExtractFileName(FileName);
n := 1;
while (n < 32) and (s3[n] <> '.') do
begin
CustomFname[n - 1] := Ord(s3[n]);
CustomFname[n] := 0;
Inc(n);
end;
InsertDescription(CustomFtoStr(CustomFname), CFdescription, LastModTime);
ParseResult.Description := CFdescription;
end;
except
Result := False;
end;
CloseFile(f);
finally
if FreeParseResult then
ParseResult.Free;
end;
end;
function LoadCustomFormulaFromHeader(var CustomFname: array of Byte;
var lCustomFormula: TCustomFormula;
var dOptionVars: array of Double): Boolean;
var s: String;
begin
CFdescription := '';
s := CustomFtoStr(CustomFname) + '.m3f';
Result := LoadCustomFormula(IncludeTrailingPathDelimiter(IniDirs[3]) + s,
lCustomFormula, CustomFname, dOptionVars, False, 0, nil, False);
if not Result then
begin
Mand3dForm.OutMessage(CustomFtoStr(CustomFname) + ' formula is missing! (Check Ini-dir for formulas)');
CustomFname[0] := 0;
end;
end;
function Is4Dtype(Header: TPMandHeader10): LongBool;
var n, DEopt: Integer;
PCFA: PTHeaderCustomAddon;
begin
PCFA := PTHeaderCustomAddon(Header.PCFAddon);
Result := (PCFA.bOptions1 and 3) <> 1;
if not Result then //Ipolhybrid
begin
MakeCustomFsFromHeader(Header^);
Result := (PTCustomFormula(Header.PHCustomF[0]).iDEoption in [4..6]) and
(PTCustomFormula(Header.PHCustomF[1]).iDEoption in [4..6]);
Exit;
end;
isSingleF(PCFA, n);
Result := n >= 0;
if not Result then Exit;
MakeCustomFsFromHeader(Header^);
CheckDEoption(0, PCFA.bHybOpt1 and 7, PCFA, Header.PHCustomF, DEopt);
Result := DEopt in [4..6];
if (PCFA.bOptions1 and 3) = 2 then
begin
CheckDEoption(PCFA.bHybOpt2 and 7, (PCFA.bHybOpt2 shr 4) and 7, PCFA,
Header.PHCustomF, DEopt);
Result := Result or (DEopt in [4..6]);
end;
end;
end.