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sigma.pas
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sigma.pas
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{DEFINE Debugging} //switch on debugging mode
{$UNDEF Debugging} //switch off debugging mode
unit Sigma;
interface
uses
SysUtils, Windows, Graphics, ExtCtrls, LowHem, Dialogs, Math, Menus, Rotate,
Types, VirtDip, Forms;
type
TSigmaForm = class(TLHWin)
procedure FormCreate(Sender: TObject; const aFileName: string; const AExtension: TExtension); override;
procedure Compute(Sender: TObject); override;
procedure CalculateHistograms(Sender: TObject);
procedure FormClose(Sender: TObject; var Action: TCloseAction); override;
procedure Angelier1click(Sender: TObject); override;
private
OldFile: Boolean;
procedure SetCaption(Sender: TObject; const FFilename: String);
procedure DrawFluHist(Sender: TObject);
procedure DrawMohr(Sender: TObject);
public
Skipped, NoSense, Max, MaxInterval, nDatasets, Max3, NoofBoxes, Theta: Integer;
MaxPerc, StressRatio, Max2: Single;
SFCounts: PZeroIntArray;
SFFluMohrFPLData: PFluMohrFPLDataArray;
TensAzimuth, TensPlunge : T1Sing1by3;
NoofBoxeschanged : Boolean;
end;
TSigmaFromFile = class(TSigmaForm)
procedure FormCreate(Sender: TObject; const aFileName: string; const AExtension: TExtension); override;
end;
procedure FindRighthandIndex(fIncrement, findex1, findex20, findex21: Integer; point20, point21: TPoint;
var findex3x: Integer; var fpoint3x: TPoint; var AUpward, fspecial: Boolean);
procedure AssemblePolygon(fppoints1, fppoints2, fppoints3: POpenPointArray;
startpoint, intsectpt3x0, intsectpt3x1, intsectpt3y0, intsectpt3y1: TPoint; fPolySegments,startindex1, startindex2,
intsect3x0, intsect3x1, intsect3y0, intsect3y1: integer; fupward: Boolean;
var FPolygon: POpenPointArray; var nPoints: Integer; var Aspecial: Boolean);
function DrawDihedra(var FCanvas: TCanvas; var FTensAzimuth, FTensPlunge: T1Sing1by3;
FSymbFillFlag, FSymbFillFlag2: Boolean; FFillBrush, FFillBrush2: TBrush; FPen: TPen): Boolean;
Function DrawTensor(var FCanvas: TCanvas; FCanvas2: TCanvas; FTensAzimuth, FTensPlunge : T1Sing1by3;
FSymbSize: Single; FSymbFillFlag, FSymbFillFlag2: Boolean; FFillBrush, FFillBrush2: TBrush; FPenHandle: THandle): Boolean;
implementation
uses FileOps, Draw, Tecmain, Invers, Nda, Settings;
procedure TSigmaFromFile.FormCreate(Sender: TObject; const aFileName: string; const AExtension: TExtension);
var Finished: Boolean;
iDummy: Integer;
sDummy: Single;
fInputFile: Textfile;
begin
lhFileName:=aFileName;
Finished:=False;
Skipped:=0;
try //*************read sigma123 from file**************
AssignFile(fInputFile, lhFileName);
Reset(fInputFile);
try
lhFailed:= not ReadSigma123(fInputFile, TensAzimuth, TensPlunge, StressRatio, lhz, nDatasets, Skipped);
finally
CloseFile(fInputFile);
end;
If lhFailed or FileUsed then
begin
FileFailed(Self);
Close;
Exit;
end;
If AExtension<>DIH then
begin
AssignFile(fInputFile, lhFileName);
Reset(fInputFile);
If not Eof(fInputFile) then
begin
lhz:=0;
While not Eof(fInputFile) and not lhFailed and not Finished do
begin
ReadFluMohrFPLData(fInputFile, iDummy, sDummy, sDummy, iDummy, lhFailed, Finished);
If not Finished then Inc(lhz);
end; //end of while-loop
end else lhFailed:=True;
If lhz<1 then
begin
lhFailed:=True;
OldFile:=True;
end else OldFile:=False;
If lhFailed then
begin
CloseFile(fInputFile);
FileFailed(Self);
Close;
Exit;
end;
nDatasets:=lhz;
GetMem(SFFluMohrFPLData, SizeOf(SFFluMohrFPLData^[0])*nDatasets);
CloseFile(fInputFile);
AssignFile(fInputFile, lhFileName);
Reset(fInputFile);
Finished:=False;
If not Eof(fInputFile) then //read deviation from shear stress
begin
lhz:=0;
While not Eof(fInputFile) and not lhFailed and not Finished do with SFFluMohrFPLData^[lhz] do
begin
ReadFluMohrFPLData(fInputFile, fmSense, fmDipDir, fmDip, fmfluctuation, lhFailed, Finished);
if (fmSense=0) or (fmSense=5) then Inc(Skipped);
If not Finished then Inc(lhz);
end; {end of while-loop}
end else lhFailed:=True;
CloseFile(fInputFile);
end;
except //can not open file
On EInOutError do FileUsed:=True;
end;
if not lhFailed then inherited;
end;
procedure TSigmaForm.Angelier1click(Sender: TObject);
begin
if Self is TSigmaFromFile then
begin
If (Sender=Angelier1) or (Sender=Angelier2) then
If (lhExtension=INV) or (lhExtension=DIH) then
lhPlotType:=pt_SigmaDihedra
else lhPlotType:=pt_LambdaDihedra
else
If (Sender=Hoeppener1) or (Sender=Hoeppener2) then
If (lhExtension=INV) or (lhExtension=DIH) then lhPlotType:=pt_SigmaTensor
else lhPlotType:=pt_LambdaTensor
else
if (Sender=ptAxes1) or (Sender=ptAxes2) then
lhPlotType:=pt_FluHist
else
if (Sender=Mohrcircle1) or (Sender=Mohrcircle2) then
if lhExtension=INV then
lhPlotType:=pt_MohrSigma
else if lhextension=ndf then
lhplottype:=pt_MohrLambda;
end
else if Self is TInversPlot then
begin
If (Sender=Angelier1) or (Sender=Angelier2) then lhPlotType:=pt_SigmaDihedra
else If (Sender=Hoeppener1) or (Sender=Hoeppener2) then lhPlotType:=pt_SigmaTensor
else if (Sender=ptAxes1) or (Sender=ptAxes2) then lhPlotType:=pt_FluHist
else if (Sender=Mohrcircle1) or (Sender=Mohrcircle2) then lhPlotType:=pt_MohrSigma;
end
else if Self is TNDAPlot then
begin
If (Sender=Angelier1) or (Sender=Angelier2) then lhPlotType:=pt_LambdaDihedra
else If (Sender=Hoeppener1) or (Sender=Hoeppener2) then lhPlotType:=pt_LambdaTensor
else if (Sender=ptAxes1) or (Sender=ptAxes2) then lhPlotType:=pt_FluHist
else if (Sender=Mohrcircle1) or (Sender=Mohrcircle2) then lhplottype:=pt_MohrLambda;
end;
SetCaption(Sender, lhFileName);
case lhPlotType of
pt_MohrSigma, pt_MohrLambda: Number1.Visible:=True;
else Number1.Visible:=False;
end;
inherited;
if not lhFailed then SigmadihedraOn:=Angelier1.checked;
if SetForm<>nil then SetForm.Initialize(Self);
end;
procedure TSigmaForm.SetCaption(Sender: TObject; const FFilename: String);
begin
If Self is TSigmaFromFile then
begin
if (lhplottype=pt_SigmaDihedra) or (lhplottype=pt_SigmaTensor) then
Caption := 'Sigma123 - [' +ExtractFileName(FFilename) +']'
else if (lhplottype=pt_lambdaDihedra) or (lhplottype=pt_lambdaTensor) then
Caption := 'Lambda123 - [' +ExtractFileName(FFilename) +']'
else if lhplottype=pt_FluHist then
Caption := 'Fluctuation histogram - [' +ExtractFileName(FFilename) +']'
else if (lhplottype=pt_MohrSigma) or (lhplottype=pt_MohrLambda) then
Caption := 'Mohr´s circle - [' +ExtractFileName(FFilename) +']'
end
else
If Self is TInversPlot then
Caption := 'Inverse-calculation - [' +ExtractFileName(FFilename) +']'
else
If Self is TNDAPlot then
Caption := 'NDA-calculation - [' +ExtractFileName(FFilename) +']';
end;
procedure TSigmaForm.FormCreate(Sender: TObject; const aFileName: string; const AExtension: TExtension);
var MyFlag: Boolean;
begin
If SetForm<>nil then
begin
if Sender<>SetForm.ApplyBtn then NoofBoxes:=FluHIntervals;
end else NoofBoxes:=10;
PlotType1.Enabled:=True;
PlotType2.Enabled:=True;
Angelier1.Caption:='&Dihedra';
Angelier2.Caption:=Angelier1.Caption;
Hoeppener1.Caption:='&Stress axes';
Hoeppener2.Caption:=Hoeppener1.Caption;
ptAxes1.Caption:='&Fluct.-histogr.';
ptAxes2.Caption:=ptAxes1.Caption;
Number1.Visible:=False;
if SetForm<>nil then
MyFlag:=Sender<>SetForm.ApplyBtn
else Myflag:=True;
if MyFlag then
begin
if Self is TSigmafromFile then
begin
If Sender=TecMainWin.Dihedra3 then Angelier1.checked:=True
else if Sender=TecMainWin.Stressaxes1 then angelier1.checked:=False;
end
else Angelier1.checked:=SigmadihedraOn;
Angelier2.Checked:=Angelier1.Checked;
Hoeppener1.checked:= not Angelier1.checked;
Hoeppener2.Checked:=Hoeppener1.Checked;
IF AExtension<>DIH then
begin
MohrCircle1.Visible:=True;
MohrCircle1.Enabled:=True;
MohrCircle2.Visible:=True;
MohrCircle2.Enabled:=True;
end
else
begin
ptAxes1.Visible:=False;
ptAxes1.Enabled:=False;
ptAxes2.Visible:=False;
ptAxes2.Enabled:=False;
end;
If Sender=TecMainWin.FluctHistogram1 then
begin
ptAxes1.Checked:=True;
ptAxes2.Checked:=ptAxes1.checked;
end
else If Sender=TecMainWin.Mohrcircle1 then
begin
Mohrcircle1.Checked:=True;
Mohrcircle2.Checked:=Mohrcircle1.checked;
Number1.Visible:=True;
end;
If Angelier1.Checked then
begin
If Self is TSigmaFromFile then
case AExtension of
INV, DIH: lhPlotType:=pt_SigmaDihedra;
NDF: lhPlotType:=pt_LambdaDihedra;
end
else
If Self is TInversPlot then lhPlotType:=pt_SigmaDihedra
else If Self is TNDAPlot then lhPlotType:=pt_LambdaDihedra;
end
else if Hoeppener1.Checked then
begin
If Self is TSigmaFromFile then
case AExtension of
INV, DIH: lhPlotType:=pt_SigmaTensor;
NDF: lhPlotType:=pt_LambdaTensor;
end
else
If Self is TInversPlot then lhPlotType:=pt_SigmaTensor
else If Self is TNDAPlot then lhPlotType:=pt_LambdaTensor;
end
else if ptAxes1.checked then lhplottype:=pt_fluhist
else if Mohrcircle1.checked then
case AExtension of
INV: lhPlotType:=pt_MohrSigma;
NDF: lhPlotType:=pt_MohrLambda;
end;
end; //if sender <>ApplyBtn
SetCaption(Sender, aFileName);
inherited;
end;
procedure TSigmaForm.CalculateHistograms(Sender: TObject);
var x,i: Integer;
sinuserror: Single;
hit: Boolean;
begin
NoSense:=0;
Max:= 0;
MaxInterval:=0;
GetMem(SFCounts,SizeOf(SFCounts^[0])*(NoOfBoxes+1));
for x:= 0 to NoofBoxes-1 do SFCounts^[x]:=0;
For i:=0 to nDatasets-1 do with SFFluMohrFPLData^[i] do
begin
If (fmSense<>0) and (fmSense<>5) or (Self is tinversplot) or (lhextension=inv) then
begin
If fmFluctuation>=0 then
begin
SinusError:=Sin(DegToRad(fmFluctuation));
hit := False;
x := 0;
while (x<=NoofBoxes-1) and not hit do
begin
IF (SinusError>=x/NoofBoxes) AND (SinusError<(x+1)/NoofBoxes) THEN
begin
Inc(SFCounts^[x]);
hit := True;
end;
IF Max<SFCounts^[x] THEN
begin
Max := SFCounts^[x];
MaxInterval:=x;
end;
Inc(X);
end;
end;
end else Inc(NoSense);
end; //end of for-loop
end;
procedure TSigmaForm.Compute(Sender: TObject);
const
{constants to draw symbols}
TriangleSizeRate=0.020; {Rate of size of linear triangle related to radius of diagram}
var dummy, dumy,triangleheight: Integer;
textdummy: String;
xpoints: array[0..2] of TPoint;
begin
Screen.Cursor := CrHourGlass;
try
PrepareMetCan(lhMetCan, LHMetafile, LHEnhMetafile,lhWriteWMF);
SetBackground(Sender, lhMetCan.Handle);
If not lhFailed then
begin
//MetCan.Pen:=lhPen;
IF (lhPlotType=pt_SigmaTensor) or (lhPlotType=pt_LambdaTensor) then
begin
North;
DrawTensor(lhMetCan, Canvas, TensAzimuth, TensPlunge, lhSymbSize,
lhSymbFillFlag, lhSymbFillFlag2, lhFillBrush, lhFillBrush2, lhPen.Handle);
end
else
If lhPlotType=pt_FluHist then
begin
CalculateHistograms(Sender);
DrawFluHist(Sender);
FreeMem(SFCounts,SizeOf(SFCounts^[0])*(NoOfBoxes+1));
end
else if (lhPlotType=pt_SigmaDihedra) or (lhPlotType=pt_LambdaDihedra) then
begin
If not DrawDihedra(lhMetCan, TensAzimuth, TensPlunge, lhSymbFillFlag, lhSymbFillFlag2, lhFillBrush, lhFillBrush2, lhPen) then
begin
Screen.Cursor:=crDefault;
lhFailed:=True;
SigmaDihedraOn:=False;
messagedlg('Plot failed.',mtError,[mbOk],0);
Exit;
end;
North;
end
else if (lhPlotType=pt_MohrSigma) or (lhPlotType=pt_MohrLambda) then
DrawMohr(Sender);
//Write Explanation
dummy:=6-lhMetCan.Font.Height;
If not lhCopyMode and not lhPasteMode then
begin
If Label1.Checked then
begin
lhMetCan.Pen:=lhPen;
IF (lhPlotType=pt_SigmaTensor) or (lhPlotType=pt_LambdaTensor) then with lhMetCan do
begin
dumy:=Round(lhSymbSize);//Round(Radius*LinearCircleRate);
triangleheight:=Round(Radius*Sqrt(3)*lhSymbSize/320);
if lhSymbFillFlag then Brush := lhFillBrush;
Ellipse(CenterX+160-dumy, labeltop+dummy div 2-dumy,
CenterX+160+dumy, labeltop+dummy div 2+dumy);
xpoints[0].x:=CenterX+160-triangleheight;
xpoints[0].y:=labeltop+5*dummy div 2+dumy;
xpoints[1].x:=CenterX+160+triangleheight;
xpoints[1].y:=xpoints[0].y;
xpoints[2].x:=CenterX+160;
xpoints[2].y:=labeltop+5*dummy div 2-dumy;
if lhSymbFillFlag2 then Brush := lhFillBrush2
else Brush.Style:=bsClear;
Polygon(xpoints);
if lhSymbFillFlag or lhsymbfillflag2 then Brush.Style := bsClear;
Rectangle(CenterX+160-dumy, labeltop+3*dummy div 2-dumy,
CenterX+160+dumy, labeltop+3*dummy div 2+dumy);
Case lhPlotType of
pt_SigmaDihedra, pt_SigmaTensor: Textdummy:='Sigma';
pt_LambdaDihedra, pt_LambdaTensor: Textdummy:='Lambda';
end;
For dumy:=0 to 2 do
TextOut(CenterX+180, labeltop+dummy*dumy, Textdummy+IntToStr(dumy+1));
end;
If (lhPlotType=pt_SigmaDihedra) or (lhPlotType=pt_LambdaDihedra) then
begin
dumy:=10;
lhMetCan.Pen.Style:=psSolid;
if lhsymbfillflag then SelectObject(lhMetCan.Handle,lhFillbrush.Handle)
else lhMetCan.Brush.Style:=bsclear;
lhMetCan.Rectangle(CenterX+160-dumy, labeltop+2*dummy div 2-dumy,
CenterX+160+dumy, labeltop+2*dummy div 2+dumy);
if lhsymbfillflag2 then SelectObject(lhMetCan.Handle,lhFillbrush2.Handle)
else lhMetCan.Brush.Style:=bsclear;
lhMetCan.Rectangle(CenterX+160-dumy, labeltop+5*dummy div 2-dumy,
CenterX+160+dumy, labeltop+5*dummy div 2+dumy);
lhMetCan.Brush.Style:=bsclear;
lhMetCan.TextOut(CenterX+180, labeltop+2*dummy div 2-dumy, 'Compressive');
lhMetCan.TextOut(CenterX+180, labeltop+5*dummy div 2-dumy, 'Tensile');
end;
lhMetCan.Brush.Style:=bsClear;
If not lhCopyMode and not lhPasteMode then with lhMetCan do
begin
Case lhPlotType of
pt_MohrSigma, pt_MohrLambda:
else TextOut(labelleft,labeltop,lhLabel1);
end;
Case lhPlotType of
pt_SigmaTensor, pt_SigmaDihedra: TextOut(labelleft,labeltop+dummy,'Sigma123');
pt_LambdaTensor, pt_LambdaDihedra: TextOut(labelleft,labeltop+dummy,'Lambda123');
end;
end
else with lhMetCan do
begin
TextOut(labelleft,labeltop,lhLabel1);
TextOut(labelleft,labeltop+dummy,'Stresst axes');
end;
end;
end;
GlobalFailed:=False;
end;
finally
lhMetCan.Free;
Screen.Cursor := CrDefault;
end;
inherited;
If Self is TSigmaFromFile then //read stress data from file
begin
If (lhPlotType=pt_SigmaDihedra) or (lhPlotType=pt_SigmaTensor) then
begin
lhPlotInfo:=lhPlotInfo+#13#10+
'Datasets total: '+IntToStr(nDatasets)+#13#10;
If lhextension<>dih then lhPlotInfo:=lhPlotInfo+'Sense substituted: '
else lhPlotInfo:=lhPlotInfo+'Datasets Skipped: ';
lhPlotInfo:=lhPlotInfo+IntToStr(Skipped)+#13#10+
'Sigma1: '+FloatToString(TensAzimuth[1], 3,0)+' / '+FloatToString(TensPlunge[1],2,0)+#13#10+
'Sigma2: '+FloatToString(TensAzimuth[2], 3,0)+' / '+FloatToString(TensPlunge[2],2,0)+#13#10+
'Sigma3: '+FloatToString(TensAzimuth[3], 3,0)+' / '+FloatToString(TensPlunge[3],2,0);
If lhextension<>dih then lhPlotInfo:=lhPlotInfo+#13#10+'Stress ratio: '+FloatToString(StressRatio, 1,4);
end
else
If (lhPlotType=pt_LambdaDihedra) or (lhPlotType=pt_LambdaTensor) then
lhPlotInfo:=lhPlotInfo+#13#10+
'Lambda1: '+FloatToString(TensAzimuth[1], 3,0)+' / '+FloatToString(TensPlunge[1],2,0)+#13#10+
'Lambda2: '+FloatToString(TensAzimuth[2], 3,0)+' / '+FloatToString(TensPlunge[2],2,0)+#13#10+
'Lambda3: '+FloatToString(TensAzimuth[3], 3,0)+' / '+FloatToString(TensPlunge[3],2,0)+#13#10+
'Strain ratio: '+FloatToString(StressRatio, 1,4)+#13#10+
'Datasets total: '+IntToStr(nDatasets)+#13#10+
'Datasets Skipped: '+IntToStr(Skipped)
else IF lhPlotType=pt_FluHist then lhPlotInfo:=lhPlotInfo+#13#10+
'Datasets total: '+IntToStr(nDatasets)+#13#10+
'Intervals: '+IntToStr(NoOfBoxes)+#$D#$A+
'Maximum: '+IntToStr(Max)+' counts ('+FloatToString(MaxPerc,2,1)+
' %) in interval '+IntToStr(MaxInterval+1)
else if (lhplottype=pt_mohrsigma) or (lhplottype=pt_mohrlambda) then
begin
lhPlotInfo:=lhPlotInfo+#13#10+
'Datasets total: '+IntToStr(nDatasets)+#13#10;
IF lhPlotType=pt_MohrSigma then lhPlotInfo:=lhPlotInfo+
'Datasets substituted: '+IntToStr(NoSense)+#13#10+'Stress ratio: '
else lhPlotInfo:=lhPlotInfo+'Datasets Skipped: '+IntToStr(NoSense)+#13#10'Strain ratio: ';
lhPlotInfo:=lhPlotInfo+FloatToString(StressRatio, 1,4);
end;
end
else //Sigma calculation
begin
If Self is TInversPlot then
begin
if (lhplottype=pt_sigmadihedra) or (lhplottype=pt_sigmatensor) then lhPlotInfo:=lhPlotInfo+#13#10+
'Sigma1: '+FloatToString(TensAzimuth[1], 3,0)+' / '+FloatToString(TensPlunge[1],2,0)+#13#10+
'Sigma2: '+FloatToString(TensAzimuth[2], 3,0)+' / '+FloatToString(TensPlunge[2],2,0)+#13#10+
'Sigma3: '+FloatToString(TensAzimuth[3], 3,0)+' / '+FloatToString(TensPlunge[3],2,0)+#13#10+
'Stress ratio: '+FloatToString(StressRatio, 1,4)+#13#10+
'Datasets total: '+IntToStr(nDatasets)+#$D#$A+
'Sense substituted: '+IntToStr(Skipped)+#13#10+
'Negative sense expected for '+IntToStr((Self as TStressTensorPlot).negative)+' datasets'
else if lhplottype=pt_fluhist then lhPlotInfo:=lhPlotInfo+#13#10+
'Datasets total: '+IntToStr(nDatasets)+#13#10+
'Intervals: '+IntToStr(NoOfBoxes)+#$D#$A+
'Maximum: '+IntToStr(Max)+' counts ('+FloatToString(MaxPerc,2,1)+
' %) in interval '+IntToStr(MaxInterval+1)
else if lhplottype=pt_mohrsigma then lhPlotInfo:=lhPlotInfo+#13#10+
'Datasets total: '+IntToStr(nDatasets)+#13#10+
'Datasets substituted: '+IntToStr(Skipped)+#13#10+
'Stress ratio: '+FloatToString(StressRatio, 1,4);
end
else If Self is TNDAPlot then
begin
if (lhplottype=pt_lambdadihedra) or (lhplottype=pt_lambdatensor) then lhPlotInfo:=lhPlotInfo+#13#10+
'Lambda1: '+FloatToString(TensAzimuth[1], 3,0)+' / '+FloatToString(TensPlunge[1],2,0)+#13#10+
'Lambda2: '+FloatToString(TensAzimuth[2], 3,0)+' / '+FloatToString(TensPlunge[2],2,0)+#13#10+
'Lambda3: '+FloatToString(TensAzimuth[3], 3,0)+' / '+FloatToString(TensPlunge[3],2,0)+#13#10+
'Theta: '+IntToStr(Theta)+' °'+#13#10+
'Strain ratio: '+FloatToString(StressRatio, 1,4)+#13#10+
'Datasets total: '+IntToStr(nDatasets)+#$D#$A+
'Datasets Skipped: '+IntToStr(Skipped)+#13#10+
'Negative sense expected for '+IntToStr((Self as TStressTensorPlot).negative)+' datasets'
else if lhplottype=pt_fluhist then lhPlotInfo:=lhPlotInfo+#13#10+
'Datasets total: '+IntToStr(nDatasets)+#13#10+
'Datasets Skipped: '+IntToStr(Skipped)+#13#10+
'Intervals: '+IntToStr(NoOfBoxes)+#$D#$A+
'Maximum: '+IntToStr(Max)+' counts ('+FloatToString(MaxPerc,2,1)+
' %) in interval '+IntToStr(MaxInterval+1)
else if lhplottype=pt_mohrlambda then
lhPlotInfo:=lhPlotInfo+#13#10+
'Datasets total: '+IntToStr(nDatasets)+#13#10+
'Datasets Skipped: '+IntToStr(Skipped)+#13#10+
'Strain ratio: '+FloatToString(StressRatio, 1,4);
end;
lhPlotInfo:=lhPlotInfo+#13#10+(Self as TStresstensorplot).StressTenPlotInfo;
end;
end;
procedure FindRighthandIndex(fIncrement, findex1, findex20, findex21: Integer; point20, point21: TPoint;
var findex3x: Integer; var fpoint3x: TPoint; var AUpward, fspecial: Boolean);
var index20, index21: Integer;
begin
index20:=findex20;
index21:=findex21;
if findex20<findex1 then Inc(index20, fIncrement);
if findex21<findex1 then Inc(index21, fIncrement);
if (index20-findex1>index21-findex1) then
if ((index20-findex1<>fIncrement div 2) and (index21-findex1<>0)) and
((index21-findex1<>fIncrement div 2) and (index20-findex1<>0)) then
begin
findex3x:=findex21;
fpoint3x:=point21;
Aupward:=False;
fspecial:=False;
end
else
begin
findex3x:= findex20;
fpoint3x:=point20;
Aupward:=True;
fspecial:=True;
end
else
begin
if ((index20-findex1<>fIncrement div 2) and (index21-findex1<>0)) and
((index21-findex1<>fIncrement div 2) and (index20-findex1<>0)) then
begin
findex3x:= findex20;
fpoint3x:=point20;
Aupward:=True;
fspecial:=False;
end
else
begin
findex3x:=findex21;
fpoint3x:=point21;
Aupward:=True;
fspecial:=True;
end;
end;
end;
procedure AssemblePolygon(fppoints1, fppoints2, fppoints3: POpenPointArray;
startpoint, intsectpt3x0, intsectpt3x1, intsectpt3y0, intsectpt3y1: TPoint; fPolySegments,startindex1, startindex2,
intsect3x0, intsect3x1, intsect3y0, intsect3y1: integer; fupward: Boolean;
var FPolygon: POpenPointArray; var nPoints: Integer; var Aspecial: Boolean);
var pt, i, intsect3xx: Integer;
intsectpt3xx: TPoint;
upward: Boolean;
begin
npoints:=0;
fpolygon^[0]:=startpoint;
Inc(npoints);
pt:=npoints;
if fupward then
begin
For i:=startindex1+1 to fPolySegments-1 do
begin
fpolygon^[i-startindex1+pt-1]:= fppoints1^[i];
Inc(nPoints);
end;
fpolygon^[nPoints]:=intsectpt3x1;
end
else
begin
For i:=startindex1 downto 0 do
begin
fpolygon^[startindex1+pt-i]:= fppoints1^[i];
Inc(nPoints);
end;
fpolygon^[nPoints]:=intsectpt3x0;
end;
Inc(nPoints);
pt:=nPoints;
if fupward then
begin
FindRighthandIndex(fPolySegments*4, intsect3x1, intsect3y0,intsect3y1, intsectpt3y0, intsectpt3y1,
intsect3xx, intsectpt3xx, upward, Aspecial);
if Aspecial then
begin
if startindex1>0 then
begin
npoints:=0;
Startpoint:=intsectpt3x0;
fpolygon^[npoints]:= Startpoint;
Inc(npoints);
pt:=npoints;
For i:=0 to fPolySegments-1 do
begin
fpolygon^[i+pt]:= fppoints1^[i];
Inc(nPoints);
end;
fpolygon^[nPoints]:=intsectpt3x1;
Inc(nPoints);
pt:=nPoints;
end;
if Sqr(fpolygon^[pt-1].x-fppoints2^[0].x)+Sqr(fpolygon^[pt-1].y-fppoints2^[0].y)<
Sqr(fpolygon^[pt-1].x-fppoints2^[fPolySegments].x)+Sqr(fpolygon^[pt-1].y-fppoints2^[fPolySegments].y) then
For i:=0 to fPolySegments-1 do
begin
fpolygon^[pt+i]:= fppoints2^[i];
Inc(nPoints);
end
else
For i:=fPolySegments downto 0 do
begin
fpolygon^[pt+fPolySegments-i]:= fppoints2^[i];
Inc(nPoints);
end;
end
else
begin
if intsect3xx<intsect3x1 then intsect3xx:=intsect3xx+fPolySegments*4;
For i:=intsect3x1+1 to intsect3xx do
begin
fpolygon^[pt-1-intsect3x1+i]:= fppoints3^[i mod (fPolySegments*4)];
Inc(nPoints);
end;
end;
end
else
begin
FindRighthandIndex(fPolySegments*4, intsect3x0, intsect3y0,intsect3y1, intsectpt3y0, intsectpt3y1,
intsect3xx, intsectpt3xx, upward, Aspecial);
if intsect3xx<intsect3x0 then intsect3xx:=intsect3xx+fPolySegments*4;
For i:=intsect3x0+1 to intsect3xx do
begin
fpolygon^[pt-1-intsect3x0+i]:= fppoints3^[i mod (fPolySegments*4)];
Inc(nPoints);
end;
end;
pt:=nPoints;
if Aspecial then
begin
if not fupward then
begin
fpolygon^[npoints]:=intsectpt3xx;
Inc(npoints);
pt:=nPoints;
For i:=fPolySegments-1 downto startindex1+1 do
begin
fpolygon^[fPolySegments-1+pt-i]:= fppoints1^[i];
Inc(nPoints);
end;
end;
end
else
begin
fpolygon^[nPoints]:=intsectpt3xx;
Inc(nPoints);
pt:=npoints;
if upward then
For i:=0 to startindex2 do
begin
fpolygon^[pt+i]:= fppoints2^[i];
Inc(nPoints);
end
else
For i:=fPolySegments downto startindex2+1 do
begin
fpolygon^[pt+fPolySegments-i]:= fppoints2^[i];
Inc(nPoints);
end;
end;
fpolygon^[nPoints]:=Startpoint;
end;
function DrawDihedra(var FCanvas: TCanvas; var FTensAzimuth, FTensPlunge: T1Sing1by3;
FSymbFillFlag, FSymbFillFlag2: Boolean; FFillBrush, FFillBrush2: TBrush; FPen: TPen): Boolean;
var h, xxx, yyy, degdipdir, x, y, rr, openwidth, rp, m1, b1, m2, b2, xs, ys, alpha : Single;
APolysegments, i, j, z1, z2, z3, z4, lhz: Integer;
PPoints1, PPoints2, PPoints3, PPGpoints1, PPGpoints2, PPGpoints3, PPGpoints4 : POpenPointArray;
PGPoints1, PGPoints2, PGPoints3, PGPoints4, intsectcount, points, points1, points2, points3,
intsect12, intsect21, intsect310, intsect311, intsect320, intsect321: Integer;
Sigma2, intsectpt12, intsectPt310, intsectPt311, intsectPt320, intsectPt321: TPoint;
FAzimuth, FPlunge: T1Sing1by2;
sensechanged, special: Boolean;
errorbuffer: array[1..3] of Single;
index: array[1..3] of integer;
ferror: array[1..4,1..3] of Single;
PenStore: HDC;
mylogpen: tlogpen;
textdummy: string;
const fsymbolsize: integer= 10;
begin
Result:=False;
Rot(False, 45,FTensAzimuth[2],FTensPlunge[2],FTensAzimuth[1],FTensPlunge[1], FAzimuth[1], FPlunge[1], SenseChanged);
FlaechLin(FTensAzimuth[2],FTensPlunge[2],FAzimuth[1],FPlunge[1], True, FAzimuth[1],FPlunge[1]);
{$IFDEF Debugging}
//GreatCircle2(FCanvas.Handle,FCanvas,CenterX,CenterY,Radius,FAzimuth[1], FPlunge[1] ,lhz,
// False, FPen.Handle, myLogPen);
{$ENDIF}
Rot(False, -45,FTensAzimuth[2],FTensPlunge[2],FTensAzimuth[1],FTensPlunge[1], FAzimuth[2], FPlunge[2], SenseChanged);
FlaechLin(FTensAzimuth[2],FTensPlunge[2],FAzimuth[2],FPlunge[2], True, FAzimuth[2],FPlunge[2]);
{$IFDEF Debugging}
//GreatCircle2(FCanvas.Handle,FCanvas,CenterX,CenterY,Radius,FAzimuth[2], FPlunge[2],lhz,
// False, fPen.Handle, myLogPen);
FCanvas.Brush:=FFillBrush;
{$ENDIF}
//*******Find the two nearest polygon-indices for the intersecting point*****
//FindNearPolyIndex(FCanvas,FTensAzimuth,FTensPlunge, lhsymbsize,FAzimuth, FPlunge,
// Radius, CenterX, CenterY, lhFillbrush);
//*****Calculate X- and Y-position of intersecting point*********************
if Abs(FTensPlunge[2]) >= 89 then FTensPlunge[2]:=89.99*Sgn(FTensPlunge[2]);
h := Radius*SQRT2*Sin(DegToRad(90-FTensPlunge[2])/2);
xxx:=Centerx+h*Sin(DegToRad(FTensAzimuth[2]));
yyy:=CenterY-h*Cos(DegToRad(FTensAzimuth[2]));
{$IFDEF Debugging}
ellipse(FCanvas.handle,round(xxx-fsymbolsize), round(yyy-fsymbolsize), round(xxx+fsymbolsize),
round(yyy+fsymbolsize));
{$ENDIF}
if polysegments<21 then APolySegments:=polysegments
else APolySegments:=20;
GetMem(PPoints1,SizeOf(PPoints1^[0])*(APolySegments+1));
GetMem(PPoints2,SizeOf(PPoints2^[0])*(APolySegments+1));
GetMem(PPoints3,SizeOf(PPoints3^[0])*(4*APolySegments+1));
intsectPt310.x:=0;
intsectPt311.x:=0;
intsectPt320.x:=0;
intsectPt321.x:=0;
intsectPt12.x:=0;
//try
For i:=1 to 2 do
begin
DegDipDir:= DegToRad(FAzimuth[i]-90);
if FPlunge[i]>=90 then FPlunge[i]:=89.9;
If FPlunge[i]<90 then
begin
h:=Radius*SQRT2*Sin(DegToRad((90-FPlunge[i]))/2);
DegDipDir:=-DegDipDir;
X:=CenterX-(Radius*Radius-h*h)/2/h*Cos(DegDipDir);
Y:=CenterY+(Radius*Radius-h*h)/2/h*Sin(DegDipDir);
RR:=(h*h + Radius * Radius)/2/h;
OpenWidth:=ArcSin(Radius/RR);
DegDipDir:=DegToRad(FAzimuth[i]);
For points:= 0 to APolySegments do
begin
Case i of
1: begin
PPoints1^[points].x:=Round(X+RR*Sin(DegDipDir-OpenWidth*(1-2*points/APolySegments)));
PPoints1^[points].y:=Round(Y-RR*Cos(DegDipDir-OpenWidth*(1-2*points/APolySegments)));
end;
2: begin
PPoints2^[points].x:=Round(X+RR*Sin(DegDipDir-OpenWidth*(1-2*points/APolySegments)));
PPoints2^[points].y:=Round(Y-RR*Cos(DegDipDir-OpenWidth*(1-2*points/APolySegments)));
end;
end;
end;
end;
end; //for
//****find intersecting point between two polygons which are the great circles****
intsectcount:=0;
For points1:= 0 to APolySegments-1 do
begin
if PPoints1^[points1+1].x<>PPoints1^[points1].x then
begin
m1:=(PPoints1^[points1+1].y-PPoints1^[points1].y)/(PPoints1^[points1+1].x-PPoints1^[points1].x);
b1:=PPoints1^[points1].y-PPoints1^[points1].x*m1;
end;
For points2:= 0 to APolySegments-1 do
begin
if PPoints2^[points2+1].x<>PPoints2^[points2].x then
begin
m2:=(PPoints2^[points2+1].y-PPoints2^[points2].y)/(PPoints2^[points2+1].x-PPoints2^[points2].x);
b2:=PPoints2^[points2].y-PPoints2^[points2].x*m2;
if PPoints1^[points1+1].x<>PPoints1^[points1].x then
begin
If m1<>m2 then
begin
xs:=(b2-b1)/(m1-m2);
ys:=(b2*m1-b1*m2)/(m1-m2);
end
else
begin
xs:=0;
ys:=0;
end;
end
else
begin //limes for delta x1=0
xs:=PPoints1^[points1].x;
ys:=b2+m2*PPoints1^[points1].x;
end;
end
else
begin
if PPoints1^[points1+1].x<>PPoints1^[points1].x then
begin //limes for delta x2=0
xs:=PPoints2^[points2].x;
ys:=b1+m1*PPoints2^[points2].x;
end
else
begin
xs:=0;
ys:=0;
end;
end;
if (Abs(xs-PPoints1^[points1].x) <= Abs(PPoints1^[points1+1].x-PPoints1^[points1].x))
and (Abs(xs-PPoints1^[points1+1].x) <= Abs(PPoints1^[points1+1].x-PPoints1^[points1].x))
and (Abs(ys-PPoints1^[points1].y) <= Abs(PPoints1^[points1+1].y-PPoints1^[points1].y))
and (Abs(ys-PPoints1^[points1+1].y) <= Abs(PPoints1^[points1+1].y-PPoints1^[points1].y))
and (Abs(xs-PPoints2^[points2].x) <= Abs(PPoints2^[points2+1].x-PPoints2^[points2].x))
and (Abs(xs-PPoints2^[points2+1].x) <= Abs(PPoints2^[points2+1].x-PPoints2^[points2].x))
and (Abs(ys-PPoints2^[points2].y) <= Abs(PPoints2^[points2+1].y-PPoints2^[points2].y))
and (Abs(ys-PPoints2^[points2+1].y) <= Abs(PPoints2^[points2+1].y-PPoints2^[points2].y))
and (intsectpt12.x=0) then
begin
{$IFDEF Debugging}
Ellipse(FCanvas.Handle, round(xs)-5, round(ys)-5, round(xs)+5, round(ys)+5);
TextDummy:=IntToStr(points1)+','+IntToStr(points2);
fcanvas.brush.style:=bsclear;
Textout(FCanvas.Handle, round(xs), round(ys), pchar(TextDummy),Length(TextDummy));
{$ENDIF}
intsect12:=points1;
intsect21:=points2;
intsectpt12.x:=round(xs);
intsectpt12.y:=round(ys);
Inc(intsectcount);
end;
end; //For
end; //for
alpha:=Pi/APolySegments/2;
for points3:=0 to 4*APolySegments do
begin
PPoints3^[points3].x:=CenterX+Round(Radius*Cos(alpha*points3));
PPoints3^[points3].y:=CenterY+Round(Radius*Sin(alpha*points3));
end;
//****find intersecting points between great circles and surrounding circle****
for i:=1 to 2 do
For points:= 0 to APolySegments-1 do
begin
if (points=0) or (points=APolySegments-1) then
begin
case i of
1: if PPoints1^[points+1].x<>PPoints1^[points].x then
begin
m1:=(PPoints1^[points+1].y-PPoints1^[points].y)/(PPoints1^[points+1].x-PPoints1^[points].x);
b1:=PPoints1^[points].y-PPoints1^[points].x*m1;
end;
2: if PPoints2^[points+1].x<>PPoints2^[points].x then
begin
m1:=(PPoints2^[points+1].y-PPoints2^[points].y)/(PPoints2^[points+1].x-PPoints2^[points].x);
b1:=PPoints2^[points].y-PPoints2^[points].x*m1;
end;
end; //case
For points3:= 0 to 4*APolySegments-1 do
begin
case i of
1: if PPoints1^[points+1].x<>PPoints1^[points].x then
begin
if PPoints3^[points3+1].x<>PPoints3^[points3].x then
begin
m2:=(PPoints3^[points3+1].y-PPoints3^[points3].y)/(PPoints3^[points3+1].x-PPoints3^[points3].x);
b2:=PPoints3^[points3].y-PPoints3^[points3].x*m2;
If m1<>m2 then
begin
xs:=(b2-b1)/(m1-m2);
ys:=(b2*m1-b1*m2)/(m1-m2);
end
else
begin
xs:=0;
ys:=0;
end;
end
else
begin //limes for delta x3=0
xs:=PPoints3^[points3].x;
ys:=b1+m1*PPoints3^[points3].x;
end
end
else
begin
if PPoints3^[points3+1].x<>PPoints3^[points3].x then
begin
m2:=(PPoints3^[points3+1].y-PPoints3^[points3].y)/(PPoints3^[points3+1].x-PPoints3^[points3].x);
b2:=PPoints3^[points3].y-PPoints3^[points3].x*m2;
xs:=PPoints1^[points].x;
ys:=b2+m2*PPoints1^[points].x;
end
else
begin
xs:=0;
ys:=0;
end;
end;
2: if PPoints2^[points+1].x<>PPoints2^[points].x then
begin
if PPoints3^[points3+1].x<>PPoints3^[points3].x then
begin
m2:=(PPoints3^[points3+1].y-PPoints3^[points3].y)/(PPoints3^[points3+1].x-PPoints3^[points3].x);
b2:=PPoints3^[points3].y-PPoints3^[points3].x*m2;
If m1<>m2 then
begin
xs:=(b2-b1)/(m1-m2);
ys:=(b2*m1-b1*m2)/(m1-m2);
end
else
begin
xs:=0;
ys:=0;
end;
end
else
begin //limes for delta x3=0
xs:=PPoints3^[points3].x;
ys:=b1+m1*PPoints3^[points3].x;
end
end
else
begin
if PPoints3^[points3+1].x<>PPoints3^[points3].x then
begin
m2:=(PPoints3^[points3+1].y-PPoints3^[points3].y)/(PPoints3^[points3+1].x-PPoints3^[points3].x);
b2:=PPoints3^[points3].y-PPoints3^[points3].x*m2;
xs:=PPoints2^[points].x;
ys:=b2+m2*PPoints2^[points].x;
end
else
begin
xs:=0;
ys:=0;
end;
end;
end; //case
case i of
1: if (Abs(trunc(xs-PPoints1^[points].x)) <= Abs(PPoints1^[points+1].x-PPoints1^[points].x))
and (Abs(trunc(xs-PPoints1^[points+1].x)) <= Abs(PPoints1^[points+1].x-PPoints1^[points].x))
and (Abs(trunc(ys-PPoints1^[points].y)) <= Abs(PPoints1^[points+1].y-PPoints1^[points].y))
and (Abs(trunc(ys-PPoints1^[points+1].y)) <= Abs(PPoints1^[points+1].y-PPoints1^[points].y))
and (Abs(trunc(xs-PPoints3^[points3].x)) <= Abs(PPoints3^[points3+1].x-PPoints3^[points3].x))
and (Abs(trunc(xs-PPoints3^[points3+1].x)) <= Abs(PPoints3^[points3+1].x-PPoints3^[points3].x))
and (Abs(trunc(ys-PPoints3^[points3].y)) <= Abs(PPoints3^[points3+1].y-PPoints3^[points3].y))
and (Abs(trunc(ys-PPoints3^[points3+1].y)) <= Abs(PPoints3^[points3+1].y-PPoints3^[points3].y)) then
begin
if points=0 then
begin
if intsectpt310.x=0 then
begin
{$IFDEF Debugging}
Ellipse(FCanvas.Handle, round(xs)-5, round(ys)-5, round(xs)+5, round(ys)+5);
TextDummy:=inttostr(i)+','+IntToStr(points)+','+IntToStr(points3);
fcanvas.brush.style:=bsclear;
Textout(FCanvas.Handle, round(xs), round(ys), pchar(TextDummy),Length(TextDummy));
{$ENDIF}
intsectPt310.x:=round(xs);
intsectPt310.y:=round(ys);
intsect310:=points3;
Inc(intsectcount);
end;
end
else
begin
if intsectpt311.x=0 then
begin
{$IFDEF Debugging}
Ellipse(FCanvas.Handle, round(xs)-5, round(ys)-5, round(xs)+5, round(ys)+5);
TextDummy:=inttostr(i)+','+IntToStr(points)+','+IntToStr(points3);
fcanvas.brush.style:=bsclear;
Textout(FCanvas.Handle, round(xs), round(ys), pchar(TextDummy),Length(TextDummy));
{$ENDIF}
intsectPt311.x:=round(xs);
intsectPt311.y:=round(ys);
intsect311:=points3;
Inc(intsectcount);
end;
end;
end; //case i=1
2: if (Abs(trunc(xs-PPoints2^[points].x)) <= Abs(PPoints2^[points+1].x-PPoints2^[points].x))
and (Abs(trunc(xs-PPoints2^[points+1].x)) <= Abs(PPoints2^[points+1].x-PPoints2^[points].x))
and (Abs(trunc(ys-PPoints2^[points].y)) <= Abs(PPoints2^[points+1].y-PPoints2^[points].y))