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(* ::Package:: *) (* Changelog: 2.5.2010: Bugfix in MetaGaussError: wenn Zahlen mit 1*10^-9 \[UDoubleDot]bergeben worden sind, dann wurde die Zahl falsch interpretiert. F\[UDoubleDot]r den Fix wurde ToString@data in ToString[data,InputForm] ge\[ADoubleDot]ndert 2.5.2010 Bugfix in MetaGaussError, ExpData Array muss in eine Zahl umgewandelt werden mit N@data 5.5.2010 Feature OneLine bei FitParamToText 9.5.2010 Feature OffsetPercent in FindPlotRangeInDataset 9.5.2010 MultiGaussFit raus! 18.5.2010 MetaGaussError mit mehreren Daten 6.7.2010 (Clemens) MetaShowLegend kann jetzt auch Style Informationen aus Directive holen xx .12.2010 mytools.m ist f\[UDoubleDot]r Mathematica 6, die neue Version mytools2.m f\[UDoubleDot]r Mathematica 7: keine Abh\[ADoubleDot]ngigkeit von NonlinearRegress mehr und FitParametersTo* Anpassungen 18.1.2010 PlotLegende mit Right,Left,Top,Bottom in Offset positionieren 29.1.2010 Lokale Variablen 10.2.2010 MetaZoom, Zoom Palette *) BeginPackage["myMathematicaTools`",{"ErrorBarPlots`"}]; (* standard stil setzen *) SetOptions[GraphicsBox,DefaultBaseStyle->{FontFamily->"Helvetica",FontSize->Medium}]; SetOptions[#,Axes->False,Frame->True] &/@ {Plot,ListLinePlot,ListPlot,ErrorListPlot}; (* Physikalische Konstanten *) konstanten = {Subscript[c, 0] -> 299792458, (*Vakuumlichtgeschwindigkeit*) Subscript[\[Mu], 0] -> N[Pi]* 4 *10^-7, Subscript[\[Epsilon], 0] -> 8.854187817* 10^-12, Subscript[\[CapitalGamma], G] -> 6.6742 *10^-11,(*Gravitationskonstante*) Subscript[h, p] -> 6.6260693* 10^-34, Subscript[h, q] -> 6.6260693* 10^-34/(2 N[Pi]), Subscript[e, e] -> 1.60217653* 10^-19, Subscript[\[CapitalPhi], 0] -> 6.6260693* 10^-34/(2 1.60217653* 10^-19), (*Fluxquantum*) Subscript[m, e] -> 9.1093826 *10^-31, (*Ruhemasse Elektron*) Subscript[m, p] -> 1.67262171* 10^-27, Subscript[m, n] -> 1.67492716* 10^-27, (*Quelle Wikipedia:Neutron*) Subscript[\[Alpha], f] -> 1/137.03599911, (*Feinstruktur \[Alpha]_f*) Subscript[R, \[Infinity]] -> 10973731.568525, (*Rydbergkonstante R_[esc inf esc]*) Subscript[N, A] -> 6.0221415*10^23, (*Avogardo*) Subscript[R, m] -> 8.31447, (*Molare Gaskonstante*) Subscript[k, B] -> 1.3806505*10^-23, (*Boltzmann Konstante*) Subscript[\[Sigma], B] -> 5.670400 10^-8, (*Stefan Boltzmann-K*) amu -> 1.66053886* 10^-27 }; (* erzeuge ein Palette zum zoomen *) CreatePalette[ Button["Zoom", Module[{g, g0, g1, pp1, pp2, arorg}, g0 = NotebookRead[SelectedNotebook[]]; g = Position[ g0, (Graphics[__] | GraphicsBox[__]), {0, Infinity}]; If[g == {}, g0 === {}, g0 = {g0[[Sequence @@ Sort[g][[1]]]]}]; g1 = Catch[ If[g0 === {}, Throw[{}]]; g = If[Head[g0[[1]]] === GraphicsBox, ToExpression[g0[[1]]], g0[[1]]]; If[Length[Cases[g0, Dynamic[__], {0, Infinity}, 1]] > 0, Throw[{}]]; arorg = (AspectRatio /. AbsoluteOptions[g]); If[arorg === Full, arorg = 1.; g = Show[g, AspectRatio -> 1]]; If[Not[NumberQ[arorg]], Throw[{}]]; {pp1, pp2} = (PlotRange /. AbsoluteOptions[g]); If[And[MatchQ[pp1, {_?NumberQ, _?NumberQ}], MatchQ[pp2, {_?NumberQ, _?NumberQ}]], {pp1, pp2} = Transpose[{pp1, pp2}], Throw[{}]]; {pp1, pp2} = {0.75 pp1 + 0.25 pp2, 0.25 pp1 + 0.75 pp2}; DynamicModule[{p1 = pp1, p2 = pp2, lp = {0, 0}, aspectswitch = 0, pts = {{0, 0}}, aspectslider = 1, arorgdyn = arorg*(pp2[[1]] - pp1[[1]])/(pp2[[2]] - pp1[[2]])}, Column[{LocatorPane[Dynamic[{p1, p2}], Show[{g, Graphics[{Opacity[0.1], Rectangle[Dynamic[p1], Dynamic[p2]]}]}, ImageSize -> Small]], TextCell["Zoom corners:"], InputField[Dynamic[p1], FieldSize -> 14], InputField[Dynamic[p2], FieldSize -> 14], Row[{TextCell["AspectRatio set by slider:"], Checkbox[Dynamic[aspectswitch], {0, 1}]}], Dynamic[If[aspectswitch == 1, Row[{Slider[Dynamic[aspectslider], {0.2, 5., 0.1}, ImageSize -> 150], InputField[Dynamic[aspectslider], FieldSize -> 3]}], TextCell["AspectRatio is kept as zoomed area."]]], LocatorPane[Dynamic[pts], Show[g, PlotRange :> Dynamic[Transpose[{p1, p2}]], Frame -> True, ImageSize -> Full, AspectRatio -> Dynamic[ Which[aspectswitch == 0, (aspectslider = Round[#, 0.001]; #) &@ Abs[arorgdyn*(p2[[2]] - p1[[2]])/(p2[[1]] - p1[[1]])], aspectswitch == 1, aspectslider]]], LocatorAutoCreate -> True], TextCell["Use Alt+Click to add or delete locators!"], TextCell["Locator positions:"], InputField[Dynamic[pts], FieldSize -> 14], Button[ "Copy locator positions", (SelectionMove[ButtonNotebook[], All, ButtonCell]; SelectionMove[ButtonNotebook[], All, CellContents]; SelectionMove[ButtonNotebook[], All, CellContents]; FrontEndExecute[FrontEndToken[ButtonNotebook[], "Copy"]]; Module[{b}, b = NotebookRead[ButtonNotebook[]]; If[Length[b] >= 2, b = b[[1, 5]]; $LocatorPositions = b; SelectionMove[ClipboardNotebook[], All, Notebook]; NotebookWrite[ClipboardNotebook[], ToBoxes[b], All]; SelectionMove[ClipboardNotebook[], All, Notebook]; SelectionMove[ButtonNotebook[], Before, Cell]]])], Button["Copy zoomed graphics", (SelectionMove[ButtonNotebook[], All, ButtonCell]; SelectionMove[ButtonNotebook[], All, CellContents]; FrontEndExecute[FrontEndToken[ButtonNotebook[], "Copy"]]; Module[{b}, b = NotebookRead[ButtonNotebook[]]; If[Length[b] >= 2, b = Cell[BoxData[#1], "Output"] &@(b[[2, 1, 1, 7, 1, 2]] /. {(PlotRange :> _) -> (PlotRange -> Transpose[ b[[1, {1, 2}]]]), (AspectRatio -> _) -> (AspectRatio -> Which[b[[1, 4]] == 0, Abs[b[[1, 7]]*(b[[1, 2]][[2]] - b[[1, 1]][[2]])/(b[[1, 2]][[1]] - b[[1, 1]][[1]])], b[[1, 4]] == 1, b[[1, 6]]]), (ImageSize -> Full) -> Sequence[]}); SelectionMove[ClipboardNotebook[], All, Notebook]; NotebookWrite[ClipboardNotebook[], b, All]; SelectionMove[ClipboardNotebook[], All, Notebook]; SelectionMove[ButtonNotebook[], Before, Cell]]])], Dynamic[MousePosition["Graphics"]]}, Center]]]; If[g1 === {}, CreateDialog[{TextCell["Zoom: No proper input available. Select some 2D, Mathematica-6 type \ grahics and \npress the Zoom button again! Please avoid dynamic \ content!"], DefaultButton[]}], CreateDocument[g1, WindowSize -> {290, All}, WindowTitle -> "Zoom-DHID", WindowElements -> {"VerticalScrollBar"}, WindowFrame -> "Palette", Background -> GrayLevel[0.96]]]]], WindowTitle -> "Zoom2D"]; (* Interaktives Zoomen in Plot mit gedr\[UDoubleDot]ckter Ctrl - Taste Beispiel: Plot[x,{x,0,10}] // MetaZoom *) MetaZoom[graph_Graphics]:=With[{ gr=First[graph], opt=DeleteCases[Options[graph],PlotRange->_], plr=PlotRange/.Options[graph,PlotRange], size=PlotRange/.Options[graph,ImageSize], rectangle={Red,Line[{#1,{First[#2],Last[#1]},#2,{First[#1],Last[#2]},#1}]}&, line={Red,Line[{#1,#2}]}&}, DynamicModule[{action="undeployed",filename,dragging=False,first,second,range=plr}, Style[ Column[{ ButtonBar[{ "unfix":>(action="undeployed"), "Move":>(action="move"), "Zoom":>(action="zoom"), "Export":>(filename=SystemDialogInput["FileSave"];Export[filename,Graphics[gr,PlotRange->Dynamic[range],Sequence@@opt]]), "Reset":>(range=plr)}(* {If[action=="undeployed",Green,LightGray], If[action=="move",Green,LightGray], If[action=="zoom",Green,LightGray],Green,LightGray}*)], EventHandler[ Dynamic@Graphics[ Which[dragging && action=="zoom",{gr,rectangle[first,second]}, dragging && action=="move",{gr,line[first,second]}, !dragging || action=="undeployed",gr], PlotRange->Dynamic[range],Sequence@@opt ], {"MouseDown",1}:>If[action!="undeployed",(first=MousePosition["Graphics"])], {"MouseDragged",1}:>If[action!="undeployed",(dragging=True;second=MousePosition["Graphics"])], {"MouseUp",1}:>(dragging=False; Which[action=="move",range=range-(first-second), action=="zoom",range=Transpose@{first,second}]), PassEventsDown->True] }] (* TODO: seriously slow with that *) (*,If[action!="undeployed",Deployed->False,Deployed->True]]*)] ] ] (* =============================================================== * Fehlerfortpflanzung * Aufruf: MetaGaussError[Funktion, Liste der Variablen, ExpData->{{messwert1, fehler1},{messwert2,fehler2},...},(kovarianzenmatrix)] * Deutlich verbessert zur normalen GaussError Funktion. Diese kann mit Kovarianzen rechnen * Und macht zudem auch GaussErrorWithMapping \[UDoubleDot]berfl\[UDoubleDot]ssig * Beispiel: * einfache Formel mit Messwerten: * volR=MetaGaussError[4/3 * \[Pi] * r^3,{r},ExpData->{{1,0.01}}] * einfache Formel mit mehreren Messwerten: * MetaGaussError[A/B,{A,B},CovarianceMatrix->{},ExpData->{{{3,2},{1,2}},{{1,5},{5,3}}}] * einfache Formel ohne Messwerte: * volR=MetaGaussError[4/3 * \[Pi] * r^3,{r}] * korrelierte Parameter ohne Messwerte: * volR=MetaGaussError[r^2*\[Pi]*h,{r,h},CovarianceMatrix->{{0.1,-1},{1,0.3}}] * korrelierte Parameter mit Messwerten, ExpData nimmt keine Fehler der Parameter an, * diese stehen schon in der Kovarianzmatrix * volR=MetaGaussError[r^2*\[Pi]*h,{r,h},CovarianceMatrix->{{0.1,-1},{1,0.3}},ExpData->{5,1}] *===============================================================*) Options[MetaGaussError]={ExpData->{},CovarianceMatrix->{}}; MetaGaussError[g_,list_,OptionsPattern[]]:=Module[{sol,cm,dat}, If[Length@Select[list,#[[0]] == Subscript || #[[0]] == Superscript &]>0, Print["GaussError: Achtung, Sub- und Superscript werden nicht unterst\[UDoubleDot]tzt!"]; Abort[]; ]; cm=OptionValue[CovarianceMatrix]; dat=OptionValue[ExpData]; (* keine Kovarianzmatrix angeben. eine Diagonalmatrix erstellen *) If[Length@cm==0, cm=DiagonalMatrix[ Table[ToExpression["\[CapitalDelta]"<>ToString[list[[i]]]]^2,{i,1,Length@list}] ], Print["Fehlerberechnung mit Kovarianzen"]; ]; (* Eigentliche Fehlerfortpflanzung, mit Beachtung eventueller Kovarianzen *) sol={g ,Sqrt[\!\( \*UnderoverscriptBox[\(\[Sum]\), \(m = 1\), \(Length[list]\)]\( \*UnderoverscriptBox[\(\[Sum]\), \(n = 1\), \(Length[list]\)]\((D[g, list[\([m]\)]]*D[g, list[\([n]\)]]*cm[\([m, n]\)])\)\)\)]}; (*Daten noch einsetzen falls gew\[UDoubleDot]nscht*) If[Length@dat!=0, (* keine Kovarianz angegeben *) If[Length@OptionValue[CovarianceMatrix]==0, (*Print["Fehlerberechnung mit Daten"];*) If[Length@dat != Length@list, Print["Achtung! Anzahl der \[UDoubleDot]bergebenen Daten stimmt nicht mit Anzahl der Parameter \[UDoubleDot]berein!"]; Abort[]; ]; If[Length@dat[[1]]!=2, Print["Achtung! Es wurde keine Kovarianz-Matrix \[UDoubleDot]bergeben,\nes ist hier eine Fehlerangabe im Datenarray n\[ODoubleDot]tig!"]; Abort[]; ]; If[(!MatchQ[dat,List[List[List[_,_],List[_,_]]..]] && !MatchQ[dat,List[List[_,_]..]] && !cm), Print["Achtung! ExpData muss entweder vom Format\n"<> "{{a1,\[CapitalDelta]a1},{b1,\[CapitalDelta]b1},...} oder\n"<> "{{{a1,a2,...},{\[CapitalDelta]a1,\[CapitalDelta]a2,...}},{{b1,b2,...},{\[CapitalDelta]b1,\[CapitalDelta]b2,...}}}\n"<> "sein."]; Abort[]; ]; (* Wenn nur ein Messpunkt angegeben ist, dann umordnen *) If[MatchQ[dat,List[List[_,_]..]] && !MatchQ[dat,List[List[List[_,_],List[_,_]]..]], (*Nur ein Messpunkt und Fehler*) dat={{#[[1]]},{#[[2]]}}&/@dat; ]; (* Alle Eintr\[ADoubleDot]ge aus ExpData durchgehen *) sol = sol /. Join[ Table[list[[i]] -> N@Flatten@dat[[i,1]],{i,1,Length@list}], Table[ ToExpression[ "\[CapitalDelta]"<>ToString[list[[i]]]<>"->"<>ToString[N@Flatten@dat[[i,2]],InputForm]],{i,1,Length@list}] ]; sol=Transpose@sol; (* Wenn eh nur ein Datensatz berechnet wurde, dann Flatten f\[UDoubleDot]r kompatibilit\[ADoubleDot]t *) If[Length@sol==1, sol=Flatten@sol; ]; , (* else: kovarianzen angegeben *) If[Length@dat != Length@list, Print["Achtung! Anzahl der \[UDoubleDot]bergebenen Daten stimmt nicht mit Anzahl der Parameter \[UDoubleDot]berein!"]; Abort[]; ]; If[(!MatchQ[dat,List[_List..]] && !MatchQ[dat,_List] && !cm), Print["Achtung! ExpData muss entweder vom Format\n"<> "{a1,b1,c1,...} oder\n"<> "{{a1,a2,...},{b1,b2,...},...}"<> "sein."]; Abort[]; ]; (* nur ein datensatz drin *) If[Length@dat == Length@list, dat={#}&/@ dat; ]; sol = sol /.Table[list[[i]] -> N@Flatten@dat[[i]],{i,1,Length@list}]; (*wenn Fehler nicht abh\[ADoubleDot]ngig von den Variablen ist, \[UDoubleDot]berall den gleichen Fehler einf\[UDoubleDot]gen*) If[!MatchQ[sol[[2]],_List], sol[[2]]=Table[sol[[2]],{Length@sol[[1]]}] ]; sol=Transpose@sol; ]; (* endif, es sind Expdata vorhanden *) ]; sol (*sol={g ,Sqrt[\!\( \*UnderoverscriptBox[\(\[Sum]\), \(i = 1\), \(Length[list]\)]\(\((D[g, list[\([i]\)]]\ \ ToExpression["\<\[CapitalDelta]\>" <> ToString[list[\([i]\)]]]\ )\)^2\)\)]}*) ] (* =============================================================== * Alte Fehlerrechnungs Funktion, ersetzt durch MetaGaussError * Fehlerfortpflanzung * Aufruf: MetaGaussError[Funktion, Liste der Variablen, (messdaten),(kovarianzenmatrix)] * Deutlich verbessert zur normalen GaussError Funktion. Diese kann mit Kovarianzen rechnen * Und macht zudem auch GaussErrorWithMapping \[UDoubleDot]berfl\[UDoubleDot]ssig * Beispiel: * erf=GaussError[x^2,{x}] * pkt=f/.erf/. {x->2,\[CapitalDelta]x->1.1} * \[CapitalDelta]pkt=\[CapitalDelta]f/.erf/.{x->2,\[CapitalDelta]x->1.1} *===============================================================*) GaussError[g_,list_]:=Module[{sol}, If[Length@Select[list,#[[0]] == Subscript || #[[0]] == Superscript &]>0, Print["GaussError: Achtung, Sub- und Superscript werden nicht unterst\[UDoubleDot]tzt!"]; Abort[]; ]; sol={g ,Sqrt[\!\( \*UnderoverscriptBox[\(\[Sum]\), \(i = 1\), \(Length[list]\)]\(\((D[g, list[\([i]\)]]\ \ ToExpression["\<\[CapitalDelta]\>" <> ToString[list[\([i]\)]]]\ )\)^2\)\)]} ] (* Alte Fehlerrechnungs Funktion, ersetzt durch MetaGaussError*) GaussErrorWithMapping[g_,list_]:=Module[{solution}, solution = GaussError[g,list[[All,1]]]; { solution[[1]], solution[[2]]} /. Join[ Table[list[[i,1]] -> list[[i,2]],{i,1,Length@list}], Table[ ToExpression[ "\[CapitalDelta]"<>ToString[list[[i,1]]]<>"->"<>ToString[list[[i,3]]]],{i,1,Length@list}] ] ] (* =============================================================== * Symbole von Plots herausfinden, * Sollte eigentlich nicht von Hand aufgerufen werden, sondern durch MetaPlot - aus diesem Grund folgt hier keine Berschreibung \[UDoubleDot]ber den Aufruf *===============================================================*) MetaPlotMarkerSymbols[plots_]:=Module[{i,markersym,type,styleData,tempPlot}, markersym={}; For[i=1,i<=Length[plots],i++, (* Suchen ob Punkte in Plot vorkommen, dann ists ein DataPlot *) tempPlot=Flatten[plots[[i,1]]]; (* GraphicsComlex muss anderst geparst werden *) If[ToString[tempPlot[[0]]]=="GraphicsComplex",tempPlot=Flatten[tempPlot[[2]]]]; If[ Length[Select[tempPlot,ToString[#[[0]]]=="Point" || ToString[#[[0]]]=="Inset" &,1] ] > 0, type="DataPlot", type="GraphPlot" ]; (* Style Informationen holen *) styleData =Select[tempPlot, ToString[#[[0]]] == "Hue" || ToString[#[[0]]] == "Thickness" || ToString[#[[0]]] == "RGBColor" || ToString[#[[0]]] == "Dashing" || ToString[#[[0]]] == "Directive" || (* +Clemens 7.6.2010*) ToString[#[[0]]] == "GrayLevel" || ToString[#[[0]]] == "Opacity" & ]; markersym = Append[markersym, Inset[Graphics[ If[type=="GraphPlot", Join[styleData, {Line[{{0,0},{1,0}}]}], Join[styleData,{Disk[]}]], AspectRatio->1, If[type=="GraphPlot",ImageSize->14, ImageSize->8 ] ] ]] ]; markersym ]; (* =============================================================== * MetaPlot * Plot Funktion die alle wichtigen Typen von Plot in ein Objekt kapselt * Aufruf: Der Aufruf erfolgt, wie bei den in Mathematica typischen Funktionen, * es wird jedoch automatisch ein ErrorListPlot statt einem ListPlot erstellt, * falls Fehlerdaten vorhanden sind. *===============================================================*) MetaPlot[data_,args___ ] :=Module[{plot}, (* Um was f\[UDoubleDot]r eine Art von Daten es sich handelt herausfinden *) plot =If[ArrayDepth[data]>1, If[Length[Flatten[data[[1]]]]==2, ListPlot[data,args], ErrorListPlot[data,args]], Plot[data,args] ]; plot ] (* =============================================================== * MetaShowLegend * Verbessertes ShowLegend, findet automatisch die richtigen Symbole und generiert die Legende * Die Plotrange Option funktioniert wie in Show, dh sie wird vom ersten Plot vorgegeben. * * Aufruf: * MetaShowLegend[{plot1, [weitere Plots]}, {"Beschriftung des Plots", [weitere Beschriftungen]}, {x-Koord,y-Koord}] oder * MetaShowLegend[{plot1, [weitere Plots]}, {{"Beschriftung des Plots", {Farbe, Gr\[ODoubleDot]\[SZ]e, Dicke, usw. der Schrift}}, [weitere Beschriftungen]}, {x-Koord,y-Koord}] * * Positionierung kann mit Left,Top,Bottom,Right,Center festgelegt werden * Optionen: * RelLegendPos: Relative Positionierung der Legende, dh 1 ist ganz rechts im Plot 0.5 in der Mitte, usw. die Position bezieht sich auf die linke obere Ecke der Legende * Background, Frame, FrameStyle, ganz normal wie in anderen Funktionen * AutomaticOffset: Setzt Offset entsprechend richtig, falls Left, Top Right Positionierung gew\[UDoubleDot]nscht ist * Offset: Bezugspunkt * * Beispiel: * dataToPlot=MetaPlot[Table[{i,Random[]},{i,1,100}], * LabelStyle->{FontSize->18},ImageSize->600,PlotStyle -> {Thick, ColorData[1,"ColorList"]}]; * MetaShowLegend[ * { * dataToPlot * }, * { * {"test_hahaha",{Red,Large}},{"blub\n ich habe\n ganz viel text\n und geh \[UDoubleDot]ber\n mehrere zeilen",{Small,Pink}} * }, * {55,0.2},Background->Opacity[0.5,LightGray],Frame->True,FrameStyle->{Thick, Blue} * ] * * FIX: Einen einzelnen Plot nicht innerhalb von "{" und "}" \[UDoubleDot]bergeben lassen *===============================================================*) Options[MetaShowLegend]={Offset->{Left,Top},AutomaticOffset->True,RelLegendPos->True,FrameStyle->Thick,FontStyle->{FontSize->Medium,FontFamily->"Helvetica"},Background->Opacity[0.8,LightGray],Frame->True}; MetaShowLegend[plots_,legend_,legendPos_:{Left,Top},OptionsPattern[]] := Module[{realLegendPos,realOffset}, (* Fehlerbehandlung*) If[Length[plots]!=Length[legend], Print["Anzahl der Plots ("<>ToString@Length@plots<>") passt nicht zur Anzahl der Beschreibungen ("<>ToString@Length@legend<>")"]; Abort[] ]; realLegendPos = legendPos /. {Left->0,Right->1,Top->1,Bottom->0,Center->0.5}; realOffset = OptionValue[Offset]; (* Offset automatisch setzen je nachdem was LegendPos seil soll*) If[OptionValue[AutomaticOffset] && !NumericQ[legendPos[[1]]], realOffset[[1]] = legendPos[[1]]]; If[OptionValue[AutomaticOffset] && !NumericQ[legendPos[[2]]], realOffset[[2]] = legendPos[[2]]]; (**TODO Anordnen in Grids*) Show[plots,Epilog->Inset[ Grid[{{Style[Grid[ Transpose[{ Graphics[#,ImageSize->10]&/@MetaPlotMarkerSymbols[plots], Style[If[Length[#]==0,#,#[[1]]], TextAlignment->Left, If[Length[#]<=1,OptionValue[FontStyle],#[[2]]]]&/@legend} ], Alignment->{{Right,Left}}, BaselinePosition->Center ] ]}}, Frame->OptionValue[Frame], FrameStyle->OptionValue[FrameStyle], Background->OptionValue[Background] ] , If[OptionValue[RelLegendPos], Scaled[{realLegendPos[[1]],realLegendPos[[2]]}], Offset[{0,0},realLegendPos] ], (*auf welchen Punkt in Legende bezogen wirt*) realOffset ]] ] (* =============================================================== * MetaFourier * Berechnet die Frequenzachse von FFT *) MetaFourier[data_,samplingRate_,fouierArgs___] := Module[{N,T}, N=Length[data]; T=samplingRate; Transpose[{(Range[N]-1)*(T/N),Abs@Fourier[data,fouierArgs]}] ] (* =============================================================== * FindPeaks * findet Position+H\[ODoubleDot]he von Peaks *) Options[FindPeaks]={PeakType->"All"}; FindPeaks[data_,OptionsPattern[]]:=Module[{type,increment,start,currentSign, peakList,peaks,j,firstIsMax}, type=OptionValue[PeakType]; If[type!="All" && type != "OnlyMaxima" && type!="OnlyMinima", Print["PeakType: All, OnlyMaxima, oder OnlyMinima"]; Abort[]; ]; If[Length@data[[1]]!= 2, Print["Daten sind nicht im x,y Format"]; Abort[]; ]; (*Extremstellen finden*) (*Einfach mal genug Speicher reservieren, schneller als dynamisch*) peakList = Range[Length@data]; peaks=1; (*Vorzeichen festlegen*) currentSign=1; firstIsMax=False; If[data[[1,2]] > data[[2,2]], currentSign=-1; firstIsMax=True; ]; (*Einfachs Peak finden mit Vorzeichenwechsel*) For[j=1,j<Length[data],j++, If[currentSign !=Sign[data[[j,2]]-data[[j+1,2]]], peakList[[peaks++]]=data[[j]]; currentSign=-1*currentSign; ]; ]; peakList[[peaks++]]=Last@data; (*Nur Peaks ausgeben, alles was sonst noch im Speicher reserviert ist, ignorieren*) If[peaks <1, Print["Keine Peaks gefunden!"]; Abort[]; ]; start=1; increment=1; If[type=="OnlyMaxima", If[firstIsMax, start=1;increment=2, start=2;increment=2 ]; ]; If[type=="OnlyMinima", If[firstIsMax, start=2;increment=2, start=1;increment=2 ]; ]; peakList[[start;;peaks-1;;increment]] ]; (* =============================================================== * Benes "Formatiermodul" f\[UDoubleDot]r Zahlen + Fehler *===============================================================*) Options[ErrFmt]={TeX->False,LastCol->False}; ErrFmt[val_,err_,scalefac_:1, OptionsPattern[]]:=Module[{table,formatted,valkorr,out,errkorr,fmtstr1,fmtstr2,fmtstr3,fmtstr4,andstr,numpointstr,tmp}, valkorr=If[NumberQ[val],{val},val]; errkorr=If[NumberQ[err],Array[err&,Length[valkorr]],err]; If[OptionValue[TeX], fmtstr1="$``(``)``"; fmtstr2="\\cdot 10^{"; fmtstr3="}$ "; fmtstr4="$ "; numpointstr="{,}"; andstr=If[OptionValue[LastCol],"\\\\","&"]; , fmtstr1="``(``)``"; fmtstr2="*10^"; fmtstr3=""; fmtstr4=""; numpointstr="."; andstr=""; ]; table={ Round[#[[1]],10^(RealDigits[#[[2]],10][[2]]-1)], RealDigits[#[[1]],10][[2]]-RealDigits[#[[2]],10][[2]]+\[Piecewise]{ {1, RealDigits[#[[2]],10][[2]]<= 1}, {2, RealDigits[#[[2]],10][[2]]>1} }, \[Piecewise]{ { Round[FromDigits[{RealDigits[#[[2]],10][[1]],1}],1], #[[2]]<10}, { Round[FromDigits[{RealDigits[#[[2]],10][[1]],1}],1]*10^(RealDigits[#[[2]],10][[2]]-1), 10<=#[[2]]<= 10^5 && #[[1]]<10^6}, {Round[FromDigits[{RealDigits[#[[2]],10][[1]],1}],1], True} }, RealDigits[#[[1]],10][[2]],RealDigits[#[[2]],10][[2]] }&/@Transpose[{valkorr,errkorr}/scalefac]; formatted=StringForm[fmtstr1, NumberForm[ N[#[[1]]/\[Piecewise]{ {10^(#[[4]]-1), #[[4]]>6}, {10^(#[[4]]-1), #[[4]]<=-1}, {1, True} }],{#[[2]],(#[[2]]-\[Piecewise]{ {1, #[[3]]==10&&#[[5]]<=0}, {0, True} }-\[Piecewise]{ {1, #[[4]]<= -1}, {#[[4]], #[[4]]<= 6}, {#[[2]], #[[2]]<#[[4]]&&#[[4]]<=6}, {1+\[Piecewise]{ {0, #[[5]]<=1}, {1, True} }+\[Piecewise]{ {1, #[[3]]==10}, {0, True} }, True} })},NumberPoint->numpointstr,ExponentFunction->(If[-1<=#<6,Null,#]&)], #[[3]]/\[Piecewise]{ {\[Piecewise]{ {10, #[[3]]==10}, {1, True} }, #[[4]]<=6&&#[[2]]>#[[4]]}, {\[Piecewise]{ {10, #[[3]]==10}, {1, True} }, #[[4]]>6}, {1, True} }, \[Piecewise]{ {fmtstr2<>ToString[#[[4]]-1]<>fmtstr3<>andstr, #[[4]]>6}, {fmtstr2<>ToString[#[[4]]-1]<>fmtstr3<>andstr, #[[4]]<=-1}, {fmtstr4<>andstr, True} } ]&/@table; tmp=StringReplace[ToString[#],{"{,}("->"(",",("->"(",".("->"("}]&/@formatted; out=StringReplace[#,{"(0)"->""}]<>", " &/@tmp; (* mit dieser Ab\[ADoubleDot]nderung *) If[NumberQ[val]==True,StringReplace[out[[1]],{", "->""}], out] ]; Options[FitParametersToText]={OneLine->False}; FitParametersToText[fitting_,OptionsPattern[]]:=Module[{oneline,param, heading,i,output}, oneline=OptionValue[OneLine]; heading = fitting["ParameterTable"][[1,1,2;;,1]]; param = fitting["ParameterTable"]; output = ""; If[Length[heading]==0, Print["FitParametersToText: Kein ParameterTable in fit gefunden"]]; For[i=1,i<=Length[heading],i++, output = StringJoin[output,ToString[heading[[i]],StandardForm],"=",ErrFmt[param[[1,1,i+1,2]],param[[1,1,i+1,3]]]," "]; If[i<Length@heading && !oneline,output=output<>"\n"]; ]; output ]; FitParametersToTable[fitting_]:=Module[{param, heading,i,output}, heading = fitting["ParameterTable"][[1,1,2;;,1]]; param = fitting["ParameterTable"]; output = ""; If[Length[heading]==0, Print["FitParametersToTable: Kein ParameterTable in fit gefunden"]]; Table[{heading[[i]],param[[1,1,i+1,2]],param[[1,1,i+1,3]]},{i,1,Length[heading]}] ]; Options[FindPlotRangeForDataSet]={PercentOffset->10}; FindPlotRangeForDataSet[dataset_,OptionsPattern[]]:=Module[{offset,actualdata}, offset=OptionValue[PercentOffset]; actualdata={ {First@Sort@Table[First@Sort[dataset[[i,All,1]]],{i,1,Length@dataset}], Last@Sort@Table[Last@Sort[dataset[[i,All,1]]],{i,1,Length@dataset}]}, {First@Sort@Table[First@Sort[dataset[[i,All,2]]],{i,1,Length@dataset}], Last@Sort@Table[Last@Sort[dataset[[i,All,2]]],{i,1,Length@dataset}]} }; actualdata=actualdata+(offset/100*{(actualdata[[1,2]]-actualdata[[1,1]])*{-1,1},(actualdata[[2,2]]-actualdata[[2,1]])*{-1,1}}) //N; Print["FindPlotRangeForDataSet: "<>ToString@actualdata]; actualdata ]; (*Aus Funktion in der Deltafunktionen vorkommen, Deltafkt extrahieren und als Linien ausgeben*) GetLinesFromDiracDeltas[func_,var_]:= Module[{deltas,deltaInfo}, (*Das +1 ist ein $\[Section]&$ % ( Hack, aber Mathematica nimmt sonst kein a*DiracDelta[x+b] als Funktion*) deltas=Join[ Cases[func+1,(a_)*DiracDelta[b_]:> {a,b}], Cases[func+1,DiracDelta[b_]:> {1,b}] ]; deltaInfo={Abs@#[[1]],Flatten[Solve[#[[2]]==0]]} &/@deltas; Flatten@Table[Table[Arrow[{{var/.deltaInfo[[j,2,i]],0},{var/.deltaInfo[[j,2,i]],deltaInfo[[j,1]]}}] ,{i,1,Length@deltaInfo[[j,2]]}],{j,1,Length@deltaInfo}] ]; EndPackage[];
>node15 asvge-vniaei-rtrfegcyvaclhlyplacpengnpskgnlgpgtdkt aqcqantgvflycfgctgpsfamiktrvqsvsvsellregcggtamkvkw egaeqeyshnsvqwlv--ravdhpyepltknggltsirrtsdggsgvcht akakvqpckhlmcnhcgvlscrhfviiiiacyqggnasl-pdsl----tk h-klceseayrvaegtikkhvvfevkgesgdslsgrypnfrkeanavpa- -ddvtikalsgtdkfparlvvdngpdlgksdpykeaygvppvgqpevsgd kyq-----klirifysklsalatrllpd--gyveqaslan----iqavkd saeectsrpt------rpaaeqifdq--lskykgatlldakplvg----y kwlctskgtgfkvaiecldldfkksvklqpaipdntseagrlkkvkvtks glkangtlclgpvclaylgqlgpvkcgdkgfgfpswtiyacstvnripk- evvrhlrwvcfhcvfvvkkfvyfaklvydtwginl-------------g >node3 agvge-vnhaga-rarfegcyvpclhlytlacpeqgneekgnlgpgkdki aqcqanstiflyclgctgptfaaikarvqtvsvaellrqgcagtamkvkw qgaemeyshntvqwli--ravghpyepltkngglssirrts--nsgvcht akakvkpckplmcnhcgvlrcrhfviiiitcyqggkasl-pdsl----tk h-kacdseaylvlegtikkhlvfelkgesgdsasgrypnfrkeanavpa- -ddvsikalsgtdwfparlvvdkgpelgkvdpgkegygvapvgqpaasgn kya-----alirifyaklnalakrllpe--gyveqatlan----iqaikd saepctsrpnqrgwfetpvaeqifaq--lskykgaalldatplvg----y kwlctskgtgfkvpigcleldfkksrklqpkipdntsdagrlnkvkctks glkakgtlclapvclaylgqlgsvtcgdkgfgfpswtiyacskvnripke evvrhlrwvcfhcvfvvqkfvyfakl-----ginlaqlmavgechlceg >node10 isvge-vniaei-rtrfagcyvaclhlyglacpengtpskgslgpgtdkt aqcqvntgvflycfgctgpsfamkskrvqsvsvsellkegcggtsmkvkw agaeqeyshnsvqwlv--idvdhpyeplqkngglmpirrassggsgvcht akskvqpcrhlmcnhcghlscrhfviiiiacyqggnasl-pesl----tk i-kfcesdayrvvegtikkhvvyeekgesgdslskrypnfgkeannvpa- -edvtikalsgtdkfpaslvvengpdlgksdpfktaygkpalgqpevtgd kyq-----klirifysrlsalgtrllpd--gyveqaplsn----yqavkd saepctsrpt------rpaneqifeq--lsdykgttlldakplvg----y kwlcttksssfkvaiecldldfdksnklqpalpdntseagtlkrvkvaks gikannalclgevclaylgplgpvksgdkefgfpswtiyacgvvnkipk- ev--hfrwvcfhclfvvkkfvyfaklvydtwgsnl-------------g >H vsvgd-vqeaei-rsmfagcyiaclhlyplacpehgnptkgslspgtdkt aqcqantggfeycfgctgpsfamaktriqsasvpeplrggcggtsmkvqw agaeqeyslkstqwlv--lavghpyeplqhnggltsarrgsagasgvcht akakvqpckhlmsnhcahmscrhfaiviisryeggnagl-pdal----tk hkkfcqleayrvvegtikkhvvyevkgmsgdslsnrypnfrkqanalsa- -eevtikalsgydkfparlvvgngpglgkkdpfkiayvvppvgqpsvtgd kyq-----klirifysslgalgtrllagtkgyveeaplsd----fqgvkg apeectsret------spaanqifaqgalskykgattldtrplvgpksey qwlctpksstfrvaieclssnidksdelqsaisdntsqagrlkdvkvtrs gikanhtlclgpvclaylgqlgpcksgdkgfgfpswtiyacdtalriak- ev--hfrwlcyhclfvvkkfvyfarlvydtwsadh-------------g >node7 agvge-vnhaga-rtrfegcyvpclhlytlacpengnpskgnlgpgkdkt aqcqanstvflycfgctgptfaaiktrvqtvsvaellregcagtamkvkw qgaeqeyshntvqwlv--ravghpyepltknggltsirrtsdggsgvcht akakvqpckplmcnhcgvlscrhfviiiiacyqggkasl-pdsl----tk h-klcdseayrvlegtikkhlvfelkgesgdslsgrypnfrkeanavpa- -ddvsikalsgtdrfparlvvdngpelgksdpskeaygvppvgqpeasgd kyq-----alirifyaklnalatrllpe--gyveqatlan----iqaikd saeqctsrpt------tpvaeqifdq--lskykgatlldakplvg----y kwlctskgtgfkvpigcldldfkktrklqpkipdntsdagrlnkvkctks glkakgtlclgpvclaylgqlgpvkcgdkgfgfpswtiyacskvnripkm evvrhlrwvcfhcvfvvkkfvyfaklvidtwginl-------------g >B agvge-inhaga-rarlegcyvpclhlytlacpeqgneekgnlgpgkdki ahcqanstiflyclgctgptfpaikarvqtvsvaellrqgcagtamkvrw qgaameyshntvqwli--rtvghpyeqltkngglsairpts--nsgvcht akakvkpckpfmcnhcg--kcrhfviiiitc-----------------tk h-kacdseaylvlegtikkhlvfelkgesgdaasgrypdfrkeanaapa- -ddvsikalsgtdwfparlvvdsgpelgkvnpgkegygvaptgqpsgsgn kya-----asirifygqlaalakrllpe--gyieqatlan----iraikd aaepctsrpnqrgwfetpvaeqifah--vnkykgaalldatplvg----y kwlctskgtgfkvpigcleldfkksrklqpkipvntsdagrlnkvkctks glnakgtlcvapvclaylgqlgsvtggdkgfgfptwtiyacskvnripke evvrhlrwmcfncvfvcqkfvyfakl-----dinlaqlmavgeahlcqg >D aavgaavhhags-rtrfagccvpclhlytlacpedvnpskgnlgpgkdkk kdcqagstvflycfgcttpnfaaik-gtqtasvaellregcagtamsvkw qgaeqdyshntvhwfiynrtvghayeplkenggltsirrstdggsgicht akakvhpcqplmcnhcgvlscrhfaiiiiacyqggsgalltdsl----sk h-rlcdhdaysvlegtikkhlvfeakgesgdalsghypnfrkeanatpg- -ddqtikalsntdrf---lvvqngpelgkgdpskehygvppigqpensgd kyh-----alisifyaklnalgsrllpe--gyveqttlan----isaikd saeqctsrpt------tpvleqsfdq--lskykgatlldakalvg----y dwlcdskgssfkvpigcldlqfkktrklqtktpgntsdsarlkslkctkn glkekgtlclgpvclsylgqlgpvkcgergfgfpswtiyackkvnripkm elvahlrwgcfscvfvvkkfvffakmvidswgikl-------------n >node14 isvge-vniaei-rtrfagcyvaclhlyplacpengnpskgslgpgtdkt aqcqantgvflycfgctgpsfamkktrvqsvsvsellregcggtsmkvkw agaeqeyshnsvqwlv--iavdhpyeplqknggltsirrassggsgvcht akakvqpckhlmcnhcghlscrhfviiiiacyqggnasl-pdsl----tk h-kfceseayrvvegtikkhvvyevkgesgdslssrypnfrkeanavpa- -ddvtikalsgtdkfparlvvengpdlgksdpfktaygvppvgqpevtgd kyq-----klirifysrlsalgtrllpd--gyveqaplsn----fqavkd saeectsrpt------rpaaeqifeq--lskykgatlldakplvg----y kwlctsksssfkvaiecldldfdksnklqpaipdntseagrlkkvkvtks gikanntlclgpvclaylgqlgpvksgdkgfgfpswtiyacgtvnripk- ev--hfrwvcfhclfvvkkfvyfaklvydtwganl-------------g >A agvge-vnhagatrarfegcyvpclelytvacpeqggeekgnlgpgkdki aqceanstiflyclgcsgptfaaikarvqtvsvaellregcavtamkvkw qgaemefshgtvqwvi--ravghpyepltkdgalssirrss--nsgvcht akvkikpcselmcnhcgvlrcrhfviiiiacyqggkasl-pdpl----tk h-kacdsdsylvlegtikkhlvfelkgesgdsasgryphfrkesnavpt- -ddvsikalsgtdwfparlvvdkgpelgkvdpgkdsygvapvgqpagsgn kya-----alirifyaklnalatrllpe--gyveqttlan----iqaikd saepctsrpnqfgwfetpvaeqifaq--lskykgaalldttplvg----y rwlctskgtgfkvpvgcleldfkkfrklqpkvadntadagrlnkvkcaks glkakgtlclapvclaylgqlgsvtcehkgfgfpswtiyacskanripke evvrhlrwtcfhcvfvvhkfvyfakl-----ginlaqlvalgechlceg >G dsigd-vdvaei-rsrfagpyvaclhlyplacpengnpskgsigpgtdkt aqcqanvgvaeycfgctgpnfakdktriqrssvsellrggcggtstkvkw agreqdyshnstqwlv--iavghpyeplqkngaltsirrasaggsgvsha akakvqpckhlmsihcghmscrhfaiiiiasyeggnagl-pdtl----tk hkkfcqisanrvvegtikkhvvyevkgmagdslss-------eanavsad redvtikalsgydkfparlvvedgpglgksdpfktavvvpavgqpsvtnd kyq-----klirifysrlgalgtrlfag--gyveeaplsnsfssfqavkg saeectsrps------r--adqefeqgaltkykgattldtrplvgpksey kwlctskestfrvgieclssdfdrsdklaqaindntseagrlkkvkvtrs gikanntlclgpvclaylgqlgpcssgdkgfafpswtvyacgvalripr- ev--hfrwlcyhclfvvkkfvyfaklvydtrganl-------------g >node6 agvgeavhhags-rtrfegccvpclhlytlacpengnpskgnlgpgkdkt adcqagstvflycfgcttpnfaaiksttqtasvaellregcagtamnvkw qgaeqdyshntvhwli--rtvghayepltknggltsirrtsdggsgvcht akakvhpckplmcnhcgvlscrhfviiiiacyqggkgalltdsl----tk h-rlcdsdaysvlegtikkhlvfelkgesgdslsghypnfrkeanavpa- -ddqtikalsntdrfparlvvqngpelgksdpskeaygvppigqpensgd kyq-----alirifyaklnalasrllpe--gyveqstlan----isaikd saeqctsrpt------tpvaeqifdq--lskykgatlldakplvg----y kwlcdskgtgfkvpigcldlqfkktrklqpktpgntsdavrlkslkctss glkekgtlclgpvclsylgqlgpvkcgdkgfgfpswtiyactkvnripkm eavahlrwvcfscvfvvkkfvffaklvidswginl-------------n >F vsage-vkiaei-rtrfagcyvrclhlyglacpengtprkgsigpgtdkt tqcsvntgvflycfgctgpsyqmk-kpvqsvavsellkegcggtsmkikw agaeqeyahnsvqwll--idvdhpyeplqkngglmpirrassggsgvcht arskvqpcrhlmcnhcgqlscqhfviiiiacyqggnasl-peslfysrtn i-kfcesdsykvvegtikkhvvyeekgengdslskrypqfgkeasnvpa- -edvtikalsgtdkfpaalvvengpdkgks------ygkpglgqpavtgd kyqqlklaklvriiysrlsaldtrllpd--gyveqlpltn----yqvvke ptepctsrst------rpanqqifeq--lsdykgttlldakklvg----y kwlcttksssfkvaiec-dldfdksnklqptlpdntteagtlkrvkvaks gieannalclgevclaylgplgpvksgdkqfgfpawtvyacgvvnk--k- ev--hfrwvcfhclfvvkkfpyfaklvydtwgsnl-------------g >C ggvgeavhhsgs-rtrfegccvpclhlyalacpenvnpskgnlgpgkgkt vncqvgstvflycfgcttpnfaaiksttqvasvaellregcagtamnvrw qgaeqdtshntvhwli--atvahayapltknggltsirrtsdggsgvpqi akqkvhpckplmcnhcgvlscrhfvkiimacyqgskgakltdsl----tk h-rlcdsdfykvlegtikkhlvfelkgesgqslsghyrsfrkeanavpa- -ddqnikalsnadryparlvvqng----kseptkeaygappigqpesdgd kyq-----glirifyaklkalqssllpe-----yqstlan----lsaike sqeqctsrpt------vpvaeqifeq--ltkykgatlasakplvp----y kwlcdskganfkvppgclnmqfkkthklqpnypgnssdgvrlkslkctss glkdkgtlclgpvclsylgqlgpvkcgdigfgfpswtiyactrvnripka etvmhlrwvcfs--fvvkkflffaklvidswginl-------------n >node13 vsvgd-vqiaei-rsrfagcyvaclhlyplacpengnpskgslgpgtdkt aqcqantgvfeycfgctgpsfamdktriqsasvsellrggcggtsmkvkw agaeqeyshnsvqwlv--iavghpyeplqknggltsirrasaggsgvcht akakvqpckhlmsnhcghmscrhfaiiiiasyeggnagl-pdtl----tk hkkfcqieayrvvegtikkhvvyevkgmsgdslssrypnfrkeanavsa- -edvtikalsgydkfparlvvengpglgksdpfktayvvppvgqpsvtgd kyq-----klirifysrlgalgtrllag--gyveeaplsn----fqavkg saeectsrps------rpaadqifeqgalskykgattldtrplvgpksey kwlctsksstfrvaieclssdfdksdklqsaipdntseagrlkkvkvtrs gikanntlclgpvclaylgqlgpcksgdkgfgfpswtvyacgtalripk- ev--hfrwlcyhclfvvkkfvyfaklvydtwganl-------------g >E isvge-vniaei-rtrfagcyvaclnlygltcpengtpskgslapgtdkt aqcqvntgvflycfgctgppfalkskrvqsvpvsellhegcggtsmkvkw alaeqayshnsvqwlm--idvdhayepllkngglmpirrassagsgvche akskvqscrhlmcnhcghlscrhfvtiiiscyqggnanl-pesl----sk i-kfcesnayrvvegtikkhvayeekgesgdklskrypnfgkeantvpa- -edvtikalsgtdrfpaslvvengpklgksdpfktaygkpalgqpevtgd kyq-----klirfyysr--algtrllpd--gfvehaplsn----yqavkd saepctsrlt------rpanpqifeq--lsdykgttllqakplgg----y kwlcttksssfkvtiecldldfdkvnklqpalpdntngagtlkrvkaaks nvkannalclgqgclaylgplgpvnsgakefgfpswtvyacgtvnsipk- ev--hfrwvcfhslflvkkfvyfaklvydtwgsnl-------------g
--- flag: - living location: position: standing detail: default: nouns: - human adjectives: - simple --- based on std:item is positional, movable, gendered is reading, smelling, viewing is listening can scan:brief as actor can scan:item as actor can move:accept as actor can move:prox:near as actor can see as actor can smell as actor can go as actor reacts to pre-move:prox as actor with do set eflag:moving-prox set eflag:moving :"<Actor> <move> toward <direct>." end reacts to move:prox:near as actor with do if eflag:moving then if not MoveTo("normal", "near", direct) then reset eflag:moving uhoh "You can't get there from here." end end end reacts to post-move:prox as actor with do reset eflag:moving-prox reset eflag:moving end reacts to pre-go:direction as actor with do if direction & Exits() then set eflag:going set eflag:moving :"<Actor> <go> {{ direction }}." else uhoh "You can't go that way." end end reacts to go:direction as actor with do if eflag:going then if not MoveTo("normal", "in", Exit( direction ) ) then reset eflag:going reset eflag:moving uhoh "You can't go that way" end end end reacts to post-go:direction as actor with do if eflag:going then reset eflag:moving :"<Actor> <verb:enter>." end end reacts to pre-move:accept with do Emit("Accepting the move!") True end reacts to move:normal as actor with do if eflag:moving then Place(moving_to) end end reacts to post-move:accept with if physical:location.detail:default:position and not (physical:position & trait:allowed:positions) then set physical:position to physical:location.detail:default:position end
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(* ::Package:: *) << "KrancThorn.m"; derivatives = { PDstandard2nd[i_] -> StandardCenteredDifferenceOperator[1,2,i], PDstandard2nd[i_, i_] -> StandardCenteredDifferenceOperator[2,2,i], PDonesided2nd[1] -> dir[1] (-shift[1]^(2 dir[1]) + 4 shift[1]^dir[1] - 3 )/(2 spacing[1]), PDonesided2nd[2] -> dir[2] (-shift[2]^(2 dir[2]) + 4 shift[2]^dir[2] - 3 )/(2 spacing[2]), PDonesided2nd[3] -> dir[3] (-shift[3]^(2 dir[3]) + 4 shift[3]^dir[3] - 3 )/(2 spacing[3]) }; DefineDerivative[pd, PDstandard2nd]; DefineDerivative[pdo, PDonesided2nd]; Map[DefineTensor, {norm[ui], dir[li]}]; groups = {{"evolved_group", {phi, pi}}}; initialSineCalc = { Name -> "initial_sine", ConditionalOnKeyword -> {"initial_data", "sine"}, Schedule -> {"AT initial"}, Equations -> { phi -> Sin[2 Pi (x - t)], pi -> -2 Pi Cos[2 Pi (x - t)] }}; initialgaussianCalc = { Name -> "initial_gaussian", ConditionalOnKeyword -> {"initial_data", "gaussian"}, Schedule -> {"AT initial"}, Equations -> { phi -> Exp[- (x^2 + y^2 + z^2) 10], pi -> 0 }}; evolveCalc = { Name -> "calc_rhs", Schedule -> {"IN MoL_CalcRHS"}, Where -> Interior, Equations -> { dot[phi] -> pi, dot[pi] -> Euc[ui,uj] pd[phi,li,lj] }}; boundaryParam = { Name -> "boundary_condition", Default -> "radiative", AllowedValues -> {"none", "radiative"} }; boundaryCalc = { Name -> "wave_boundary", Schedule -> {"in MoL_RHSBoundaries"}, ConditionalOnKeyword -> {"boundary_condition", "radiative"}, Where -> Boundary, Shorthands -> {norm[ui], dir[li]}, Equations -> { norm1 -> -x/r, norm2 -> -y/r, norm3 -> -z/r, dir[li] -> EucDD[li, lj] Sign[norm[uj]], (* \partial_t u = - (u - u_0) / r - \partial_r u for u_0 some background solution. In this case, Minkowski in Cartesian coordinates. *) dot[phi] -> -(phi - 0) / r + norm[ui] pdo[phi, li], dot[pi] -> -(pi - 0) / r + norm[ui] pdo[pi, li] } }; idParam = { Name -> "initial_data", Default -> "gaussian", AllowedValues -> {"gaussian", "sine"} }; keywordParameters = { idParam, boundaryParam }; CreateKrancThornTT[ groups, ".", "SimpleWave", PartialDerivatives -> derivatives, KeywordParameters -> keywordParameters, DeclaredGroups -> {"evolved_group"}, Calculations -> {initialSineCalc, initialgaussianCalc, evolveCalc, boundaryCalc}];
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gskrsiwvt--ggif--aktytgyinlvhe------ekveliqk---nss k------nlvegffpcv-rtcp----t-yyfak-rciknv---------- eesstsflecharckmeeakghyfs-tathqlldtallpfnfena--irh tdih--ygeygkgttw-galavgengypgqdapasqvqvfgtep--- >D nitv------d-aitlganl---------cln--varsgpigepslf--- ---------dgl---ndmyga-------sgpfersdatlkskggkth--- awddailpmgdap-----nytnrtta--crn---skkgwckfillvtal- hwt--irwdqtarmdr-i----n--keerqr---kaqy---algttt--- -----flesid--qvcvg---aglmpahrii--keillgcl--------- -hllkndedpgfsfhyrnlvlekgkpgdf--mn-----tatevgtgqgsy aq--lnqmgssewrwav-----------rdtsfsnhwlysh-----kdft argriarinlleg-kg--------eadltkpkikdvffdfsnna----sd glgltells--mngs----g--qspsecvlrdnn-sdvklkdpfkl---- -iqptca--msd------fc-feq--------edpgptkvk----skrel aanrslwvt--ggif--aktyttydnlvhs------ekvelirkaagnts kgagpscdlvapffpcl-qtcp----a-yyfsm-rcikne---------- qenttsfvewnvrckmeevrthyfn-sydhqlldtallplnfena-hikn tdih--ygeygkstsw-nalvvgdhgfpgqdapasqvqvfstea--- >node14 -kpvrfmvaqntaltmgskv---------cmg--iarqqpigdstlf--- 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glhdaimivgnsp-----ssiahtac--frr---ckkgwc--ivlpshlp da----cwqdavglgrti----k--shtrqr---qkthhpislgstg--- -----ildsn-----------enamapskvl--kli-lgclgtkyschaf llldrgdai----fqerhlvimrgknnpyk-mt---leeadevadqlgsy ve-lltpmgdnmspwavaakvwchehrekd-rygeqwlyk---------- --gkgvpigldefk--mnefvetmksalakdkheavffvtsaea----cn nlskvelvkdvlnga----g--hspracvkkhrh-idvrlqdnitlatea gkemtcg----------------------------apklls----t-rql agerti--t--gavf--prfym-------em-----gkrelnqk---sss k-------------pcf-sncpnsah---ygaklrviknvd--------- d--n----egyarc-meqgkntyfesaa--qll--allsfdfeig--frh iemp--ytdtgrstsw-galgvgadgfpgehmpvqp--vestda--- >B -kpvkykaehd-altlaaki---------clg-mva--gpigdpalf--- ---------dsa---qdfyaaftecalvsspyergdmptkrkkgtsh--- vldvaalvmldgpafykyrtindtda--vks---ckkgwc--ilfvirla qmt--vcwektteleasi----k--keeykr---dteahrpvlgsas--- -----fliphh--sicvakensgllaaprfa-ektillg----------- -hlikddgl----fhfrelvldrgssgey-wmpessirdgteagtphgsy ee-hlg-mggslmpwha-----------ne-gfnehwlyrh-----sdfa 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gvsitells--lsds----g--ptskecvlrnkh-advrlrepfkl---- -llqtcaelihdgvdeaafc-yee--------ed--ptkva----skrql gskrsvwctgldgef--aktytgyinldhd------tkapliek---lss k------nlligffpsv-racp----i-yefar-rciknl---------- eesssaylechqrckmqeakgsffs-tgthqlldtvllafhsesa--vrh ideh--ygeyvqgttw-nelpvgehg-peqdspase-qvfgtep--- >G -kpvrfmvaqgsalsmgskvtfpfcaaq-cagp-iasqhssgdstll--- ---------nalqdrgemyga-------ecpyehgdatgktkhgsvh--s glsdavliagdsp-----ktishsac--fri------gwc--iilvahla dlateicwedah-------------gnlrhr---hatyqriaagatv--- -----iligsdianv--skd----------l--n---laclgaka----- -nllkgdvi----fsyrqlivvrgkngaf--mt---frspgevgsqhgay kg-hhsplggykrtwal-----------kd-pfsa-wlyra-----gkfl ttgnleqrgldef-refqkfveamnt---la----lffvfrreagetlcn slsktellkgeesgi----a--qgstqcikrhkh-aa-----pislaeeq givhtcg----------------------------aptllsvvefv-rql gggra---s--ggly--lkfyt-------emgaaaqdkaeliek---nss k-------------pcf-kncssashg-cygakldcikhvd--------- d--------------mqqgnsnyys-tavsqli--allafnmega--lrh kemr--ysedgktgtw-galgigds----hnlilqp--tasakp---
syms x y z f=[x,2*y^2,3*z^3] v=[x,y,z] d=divergence(f,v) pretty(d)
>ENV_HV2D1/24-501 dkglhslypgksrysaktqyeikvpndlgnahnsahspvrkps---gaae grnhtgfynndkgylsahdtvglgyvtsgt---htnqrhsvtkkgqtcqk lqkyg-------vrggtyalf------lcgpqnlrshgyslswdnsltil hsevltalkeqfylhfkmega---ael--apglkyggkiqktvdhgvkeg gatdlgcgdfaglhtcllatvkafadrgefpvaatnles-akiamvslfa amgrlggsavaasfkeshdktnfnly-g-kdrgdlqhghisksagk---s rllhakde------hkevg---pktvnrfpylqyykvvnevhhitgeilk edpltyh-----ivlrwlclassaaykaak-dgikgk-sahhahvttgia ndrgvtllnqlvaakecrslyaggdggggghrkartetdgegaecvgtrd rpyqlrppakcecgsvcqcekkk--stppgwhhstplw--gnsadgvlte vhgppgsfrsvnhvavsmgss---------hgnnqvsyyrkrvaylgniq laaaclagdygvrklraahvq >node17 nkglhslfpskerfsakvqyeikvpndlgnahngahtptrkpe---gaae grnhtgfyqndmgylsahktlgleyvqngt---htnqrhsvtkkgqgcqk lqkyd-------trggvyalf------lcgpqnlrdhgyslswdnsitrl dlevlkalnepfylyfkleka---ael--aagllypgkaqktvnhdikdp gatdlgcggytglhtctlptvkaftdrgefpvavtnlqs-ak-------- ----lggsavaatikeshdkldfela-g-kereelehehinkvagk---s rlleakee------nkevg---pknldrfpflqyykvvneirhingiflk edpltyd-----ivirwlcldasavykaak-dgvkek-sphhaqittgia aergvslmlsmvaskecrslyagsdgdggghqkartetegegaecfgtra rpyqlrppakcecgsvchcqren--atppgwfhdsplw--gnsadgvitl pqgppgsfrcvnhvaifvgss---------hghnqvgyyrkrvaylghid lavatlvgdygnrklpsshtq >node14 dkglhslfpsksrfsaktqyeikvpndlgnahngahnpvrkps---gaae grnhtgfynndmgylsahntlgleyvqsgt---htnqrhsvtkkgqtcqk lqkyd-------vrggvyalf------lcgpqnlrdhgyslswdnsltrl dlevlkalnepfylhfklesa---ael--aaglkypgkaqktvnhdvkdp gatdlgcgdfaglhtctlptvkaftdrgefpvavtnles-ak-------- ----lggsavaatikeshdktdfnla-g-keradlehehinksagk---s rlleakde------hkevg---pknvdrfpflqyykvvneirhingiilk edpltyd-----ivirwlclnasavykaak-dgvkgk-sphhahvttgia adrgvtlllslvaskecrslyaggdgdggghqkartetegegaecfgtre rpyqlrppakcecgsvcqcqren--atppgwhhstplw--gnsadgvitl vqgppgsfrcvnhvavfmgss---------hghnqvgyyrkrvaylgnid lalatlvgdygnrklpsshtq >node8 skairgvlpisshfkgkaryqrrptaaigkgcnsalspmktstgkgasme gngsggsyenemgfltvhnvlgldciqsga---higakehttekgdscnk tkrya-------essgvyalf------migaqflfdfnfamawedsttsl klnvakalkhasylffklika---svlsclaavknpgkglstdnhsakdp gatelgcqgysvlaactltssvlfkgragfpvnscpiqgdak-------- ----hggavlkqtmsdeqkrfnf----g-mrretveldhvgkapar---t rtlqsnpgghhyglhselg---kktcnkieffeyygvgdnirhrngeiqg dkplafh-----lavqwicflidvledaak-kavhekscpqfthvdpgii haiavpvkagividkecrslyhgtnndaarhkkqrhgekgsakevqsegs tpyedraracsncgaicgctsaa--gsaagwvveevlw--gispddvvnm pgkargcyrcvpyvaefleha---------napgtvdcysahmvtlkklq mvvatmvaryakrkrprtsaa >node7 tkanrsalqisnhfkgnyryqrrptaaigqgcksalsamktltskgvnle gspeggsydnemgflavhkvlglecidsgaandhmgakdhktekgescsk tkrfp-------epsgayalf------mitapflfefnfarawedsatsl klnvakalnhaaylffkiika---svlsclaavknpgkgagtdnhsekdp gatelgcqgfsvladcalttgvlfqgrggfpldacpiqgdak-------- ----hggavweqtmseeekrynf----g-lkketveldhvgkapan---t rslqsnpagdhfglgselg---krkcnkieffeyygfsdnirhrnneiqg dsplsfh-----lavqwicflidvladsmkrknvhekscpqfthvdpgvi saiavpvkasdvidkecrslyhgtnneaarhkkqrqsekgcakevqgekn tpyenrartcsncgsitnctgaa--gssagwaleeitw--gispddvvtm pgkargsyrcvpyvteflakg---------nppgtgdcyiphmitlknls vvvatmvaqnakknrprisaa >node19 nkglhslfpskerfsakvqyeikvpndlgnahngahtptrkps---gaae grnhtgfynndmgylsahntlgleyvqsgt---htnqrhsvtkkgqgcqk lqkyd-------srggvyalf------lcgpqhlrdhgyslswdnsltrl dlevlkalnepfylhfkleka---ael--aaglkypgkaqktvnhdvkdp gatdlgcngyaglhtctlptvkaftgrgefpvavtnlqs-ak-------- ----lggsavaatikeshdkldfkla-g-kereelehehinksagk---s rlleakde------hkevg---pknldrfpflqyykvvneirhingiilk edpltfd-----ivtrwlclnasavykaak-dgvkek-sphhahittgia adrgvslmlslvaskecrslyagsdgdggghqkartetegegaecfgtre rpyqlrppakcecgsvchcqren--atppgwfhdsplw--gnsadgvitl pqgppgsfrcvnhvavfvgss---------hghnqvdyyrkrvaylghid lalatlvgdygnrklpsshtq >ENV_HV2BE/24-510 dkgfhglfpsksrlsaktqykikvpnnvgnshngmhnpvrkps---gaag grnqtgrynnnmgylgthntlvleyvqsgk---hgnqrqsvtkkgqtcqt lqnyd-------vrggvyplf------lcgkqnlkdhgfsdswdnslsrl dlevlkalnepyylhfklesa---aep--aaglkypgkaqktanhdvtdp gptdlgcgdfaglhtctfptvkaftdpgefsvavtnleg-dt-------- ----lgghavvvtikashdktdfnla-g-kersdlehehinksagk---s rlleakdd------hkevg---pknvdrfpflqyykvvneiahvygidlk edpltyd-----ivvrwlclngssiiraak-epvkgk-sphhahvktgit adrgvtallslvtslacrnildggdgdgggqqkartetagiseeclgtre spyqlrppakcecgtvcqckken--ptppgrdhntplwqlgnsadggitl iqgppggfrcvshvstfmgkt---------hghnqvgyyrkrvgylgnyn lalatltgdygdrllpsahtq >node18 dkglhslfpskerfsakvqyeikvpndlgnahngahtptrkps---gaae grnhtgfynndmgylsahntlgleyvqsgt---htnqrhsvtkkgqgcqk lqkyd-------vrggvyalf------lcgpqnlrdhgyslswdnsltrl dlevlkalnepfylhfkleka---ael--aaglkypgkaqktvnhdvkdp gatdlgcggyaglhtctlptvkaftdrgefpvavtnlqs-ak-------- ----lggsavaatikeshdkldfkla-g-kereelehehinksagk---s rlleakde------hkevg---pknldrfpflqyykvvneirhingiilk edpltyd-----ivirwlclnasavykaak-dgvkek-sphhahittgia adrgvslmlslvaskecrslyagsdgdggghqkartetegegaecfgtre rpyqlrppakcecgsvchcqren--atppgwfhdsplw--gnsadgvitl pqgppgsfrcvnhvavfvgss---------hghnqvgyyrkrvaylghid lalatlvgdygnrklpsshtq >ENV_SIVM1/24-528 spalhgllpskerfsakvqyqikapsdigkagdganipvrnashkggacn arnhtgfyktdlgylaahdtlgldyaqset---hdsprrrtttdgegcqk mdkya-------sragvnalf------lcgplhlrdygrslsrekpisrl dlvvalalkepyylpfklvka---aav--taglhypgkalptgnhdlkds gvadlgcnnyaalhtctlpeviqstgrpefpvagtplqs-ak-------- ----legsivvatknesheklefrhl-g-kkredlehahvqkatad---s klvqakde------hkeld---pkkldrfsfldyykvkneirhpngiflk rdwltfd-----ilerwlclyngvvyrfak-egvspkttpqhanyttgis aarslsimlllvaskecralyqakdgdgvghpkaknetqasgaecfgtke vpyqlrpsgkctsgrvchcapes--gsppgwfqasplw--gnskegvvdl gqgppgtfrcanfvsifvgss---------hghnnvgyyrrrviylghld vpl--lvghygkrmypssssq >ENV_HV2D2/24-513 ykglhnlqpskeryqkkveyeikapndlnkmhnvahyparkpq---gdae grnhtgfygsdmgyisasddvglqyvqkst---haskhhtvtkrgyattk lekfayvvvcsksrgsayapf------pcgpkhmrdhgvslswnnsssrl nlevvkhldepyslnfkleramsgael--tlllkysaktdttikhkvkdp aatnincdsyiglhtcvlpevkvftgreqfpvvgtnlqs-ak-------- ----lgptaeaatikeshdkldlklv-g-knredlehedisksagk---s rlleaked------hkevg---aqnlgrftfldynklvkeirtiksiklk qdtltyd-----vltrwlcvnqsavykser-navrektnpqhahistgva aarglslrlelvaskecrkiyagsdgddgghkkaknetegegse-fgtre vpyqvvppakctcgtvcfcqrds--gt--gwyqdsplw--gssasgvvdl gqgppgayrcvnfvaifvgst---------qgnndvdy-rkkvtylghld ivlatlvwnygnrkyptdadl >ENV_HV2G1/23-502 nkdlhslgpskerfaakgqyeinvpnelgnahngattptrkps---gaaq grshtgfysndmgylsahntlgldyvqsgt---httqrhrvtkkgdgcqk lqkye-------srggvyalf------lcgpqhlrdhgyslnwdnaiakl dlevikalkepfylhfkleks---ael--aaglkhpgsaqktvnhdvkdp gatnlgcngyaglhtctlptvkafsgrgdfpvavtnlhg-ak-------- ----lggsavaanikeshskldfkla-g-keredlenehinksagk---s rlleakdq------hkdvg---pkdldrfpflqyykvvngiratngiivv ddplsfe-----ivtrwlclnhsavykaak-dgvkek-sphhahiptgia adrgvtlmlslvaskecrslyagsdgdggghgkartetegegascfgtre kpyqlrpsakcecgsvchcqrdnlggikagwfhdaplw--gnsaegvidl pqgppgsfrcvnhlatfvgss---------hgpnqhdsyrkrvaylghid lavatklgdygnrkylsshtq >node9 srslhgllpskerfsakvqyqirapsdigkacngahipvrkashrggaad grnhtgfynndmgyltahdtlgldyvqsgt---htsqrhsvtkkgegcqk lekya-------srggvyalf------lcgpqhlrdygfslswensitrl dlevvkalkepfylhfklaka---aal--tagikypgkalptgnhdvkdp gatdlgcngyaalhtctlpaviqftsreefpvagtplqs-ak-------- ----legsvvvatmneshdklefrll-g-kkredlehehihksagk---s rllqakde------hkelg---pknldrfsfldyykvvneirhingiilk kdsltfd-----ivarwlclnisvvykaak-dgvsektsphhahittgia aargvsimlslvaskecrslyqgsdgdgaghqkarnetqgsgaecfgtre vpyqlrpkakctcgsvchcares--gtppgwfhdsplw--gnsadgvvdl gqgppgtfrcvnfvsifvgss---------hghntvdyyrkrvvylghld ialatlvghygkrkypsdaaq >node11 nkglhslfpskerfsakvqyeikvpndlgnahngahtptrkps---gaae grnhtgfynndmgylsahntlgleyvqsgt---htnqrhsvtkkgqgcqk lqkyd-------srggvyalf------lcgpqhlrdhgyslswdnsitrl dlevvkalnepfylhfkleka---ael--aaglkypgkaqktvnhdvkdp gatdlgcngyaglhtctlptvkaftgrgefpvavtnlqs-ak-------- ----lggsavaatikeshdkldfkla-g-kereelehehinksagk---s rlleakde------hkevg---pknldrfpflqyykvvneirhingiilk ddpltfd-----ivtrwlclnasavykaak-dgvkek-sphhahittgia adrgvslmlslvaskecrslyagsdgdggghqkartetegegaecfgtre rpyqlrppakcecgsvchcqren--gtppgwfhdsplw--gnsadgvitl pqgppgsfrcvnhvavfvgss---------hghnqvdyyrkrvaylghid lalatlvgdygnrkypsshtq >ENV_HV2CA/25-512 nkgfhslfpskarssaklqfeikvendigdahngahaptkkpe---gaae grnhtgfyqnemgylsarksqgleyvqngs---htyqrhsvtkrgqgcqk lqkyd-------lrggvyalg------lcgpanlrdhgyslswdntvgrl daevlkslsesfylyfkleka---hel--aagllypgkaqktvthnikqp gamdldcgkytglhtctlpaiksfsdkgefavavaslqs-ak-------- ----lgssivagkikeshdklvfela-g-kereqleqahinklggkfktd rlleakee------nkavg---pksldtfpfieyykvvneirhingiflk kdpltyd-----ivvrwfhldasaiykaak-dkpkek-spvnahittsia aarsvslqlsmvaskdcrslytgsggdgggpqkgrtetvgstaecfgtra rpyqlsppakcecggvchcqren--atapgwfhdtslw--gtssdgvikf pqgppksfrcinkvarfvgsk---------aghdqvgyyrtklaylgyid lavgtlvgdygnrklpssntq >ENV_HV2NZ/24-502 eeglsplfpsksrfsakvqyeikgpndlgnahdgahapnrmpe---gaae grnhtgyyqndvgylsphktlgleyvqhgt---qsnqphsvtkkeqgcqk lqkhd-------trgsvyalf------lcgpqslrdhdyslswdnkitrl dlnilkalnesyylyfkleta---sdl--aaglaypgrsektvnhgvadp gaadmgcggysvlhtctlptrkaftergefpvavtdlqs-ak-------- ----lgesaaaatikemhdkldfefa-g-kepeelehehvpgvagk---t rlleakee------nkevg---pknldrfaflqyykvvnqirrmngvfls qdpktyd-----aviqwlcwgavavykaak-dgvkdt-iphhaqitrgis aqkgvtlmlnmlagkecrslyagsdgdggghqkgrtetkgdgaecfgtra rpyevrppkkcscgqcihcqrdg--atppswfndsplw--gnsaagvitl pqgpsgafrgishvaifvgsn---------hghnqvsyyrkrvayqgfis lavatligdygnrklqkshtq >node10 nkglhsllpskerfsakvqyeikapndlgkahngahiptrkpa---gaae grnhtgfynndmgylsahdtlgleyvqsgt---htnqrhsvtkkgegcqk lekya-------srggvyalf------lcgpqhlrdhgyslswdnsitrl dlevvkaldepfylhfkleka---ael--taglkypgkaqstvnhdvkdp gatdlgcngyaglhtctlpavkaftgreefpvagtnlqs-ak-------- ----lggsavvatikeshdklefklv-g-keredlehehinksagk---s rllqakde------hkevg---pknldrfpfldyykvvneirhingiilk edsltfd-----ivtrwlclnisavykaak-dgvkektspqhahittgia aargvslmlslvaskecrslyagsdgdggghqkarnetegegaecfgtre vpyqlrppakctcgsvchcqres--gtppgwfhdsplw--gnsadgvvdl gqgppgsfrcvnfvaifvgss---------hghnqvdyyrkrvaylghld ialatlvgdygnrkypsdvaq >ENV_SIVV1/24-538 hkankssfqvshhfkgnyrydrrptapdlqgckesmsymdtlaskgvnlp gsphgqsydqelgfaavhdclgleci--gtandhmgtkdqntekaeccar tkrlp-------mptgayqmf------sitvpmlfefnpvrswndsatsl kmnvanalghaavayykfids---avlgclsdikasgkgangdnrneknp gaaelgcqgftvlascfltsgitfqgkggmqldncgkegdmk-------- ----hggevwtqtmseeedhyed----a-lsvetfemdhvdklpag---s rslqahpsgenlglgsdlg---kqschkidsleyfgfsediphrnpevqg ekavsfh-----lavrwvcflidvladamqrkdlhdkpspkfthqdpgvl stitgpvkasev-atestslahktngeadshkkqrtskkgcdkqvqgdrn tpyenrawkcgwcgaitnstgaa--gsahawgmieitw--giapgdavtc rgkqtgtyrcvsfitqamrsgcplatggepdppgrgnctlphmktkkglc vvvasmtaeeakknrprvana >ENV_SIVGB/47-569 tnaidetelnffcmdakp-yqpaivviggrvcnrasgkkhnaagkssgmp hekagsgykdgqflltvygiirlpqlages---aitvspitlgvfhdttp krkyg-------glpkaygpfrayaslfivenfkfhfrldfhwdndpavl alalsnakhhkwyllfkidka---vlfacttllkngkkfqgkggcdakha ttnntlclaftilgtcslqqpvlfsegkgfsvkcckvrgaik-------- ----gdeqlllrnqrneltpdql---kanvgmqtkseqavgkpaga---t agrekeasthekgahlekgaaknatgqklqyydyacvvsqvrskhhstsg tkpmgaaserevmeavysciligdfdetak-nehdakdc-piphvsktli erv---------vnqkcsdvytgdpd--nkadpqncadvviltdhekahs tpdaelvsgrhlcstfcgvkkaa--ggpggwqvnellw--nkksvelvki nkgsgtciflveyadgfqrql---------dppstrhsfgsp-----kvw k-adstlakyskpkaartteg >ENV_SIVG1/22-522 tkdsrnalqianhikgnyqyqrrptaaiapgcksalsamstllsksvnle gapagasyensmgflavhnvlglecidsgsandpmgakenktekgescrk tkrfp-------apsgayalf------mitapflfelnyvktwedsatsl tlkvakalnhaaylffkiika---svlaclayaknpgkgtgntnhpekdp gatgvgcqgfsvlsdcalttgelfqgrggfplescpiegngk-------- ----hgsaawdqtmseeekrynf----g-rrketgqldhvgkaevn---s sslqsgpsgdhfglgsepg---krkcdkieffeyyaftndilhrnneieg tspltfh-----lavhwicflitvlakslkkknvhekscpqfanvdtgvi daiavpvtasdvidqeckslyhgtnnaaarhgkqkksqkgcvkdaqgekn tpynnrdrtcsncgsitnctgaa--epaaewaleeiaw--aicpe----- --------------seflakg---------nppgtgdcyepheitsknls vvlanmvaqnakknrpriaaa
gameid = minetest backend = sqlite3 load_mod_worldedit = true load_mod_worldedit_commands = true creative_mode = true enable_damage = false server_announce = false load_mod_skylands = false
>E v--rm----egncil---r---a---gseefh-gfelkidgt-------- prhev-------tegesefal-----vtkykvspl-rvhn-e--ptflle aetllaek--lfla-g---------eptvl-nldfpnc--d---gagcqk ---rh----e---scplcctp-----evgvvnnvheaeikd------yss kiptfiagvg-e---icwivvhevivqyltpkrng------lssgftfev alg-i-----ilalpryk-------g-k-g-----------qkgtlvelv -dyrtiikakntrhghpsgniss----gdirdkyymklhggglrqtvaml --h-egsi--------tagvfcnk---ktfdsmlrhk-----alk---lf sheksavhlt-gldcitayhgfkllg--kygirdyrleklqrff-vmalk nfsk-sff----tmhrn-tiekkt------rhkqerala--klqgiddpt qislks-----------------yparl----gela----hsadgsre-- -keddcaagglvanws-a-eteftkgnr-t---gqvrtgla---gtf--- ---------k-vagqcy-e----gqq--gagevagkgyikvylvgfysst khhafq---avri-edsnimiekipplgy----i---------------- --saayqeea-skhfls---s >node6 actwm----agy-----mr---avrpgcddfhhgvele---sa--cdgtd qr-ea-------tpah-efgvfkakkvgryncspk-ki-tsn--alflha aailmvqk--sfqg-l---------erstlarlvfpks--g---aagcek tv-rqfvpfv---qcriccap-----q---ayevnnpnl----kkpefta rtnshlstag-qvvascwigqynafaqflkpn---------ifg------ -vg-a-----lltaprfk-------g-k-s--tg--------elsvvelv -thhtiappkngkhghpsgnipl--nps------------------vamv --h-aggipdldnlcrtsglfckklpiscfdavlahh-----alk---lf rahrsviqlp-gvneitafkgfkvlgpnkygiwdykleklqryslnlvl- vnsersff----tmqrevakdkrt------yqk-----a--nlllledpi evhlks-----------------ypskl----sefscpdgkeassvree- --------tplnsewc-g-ndsftvavhva---gsaltdlg---gsyekv atl------k-nagpcy-ecvya-rh--dawevggkswtrvylvgfycsv kdhafq---yvki-tdrnvlleklsel------d---------------- --saayaeqatakslealkln >F g--rme---ggyciv---r---airkgsedfh-gfhln---i-------- arhev-------a--lqefal-----vtrykcgpl-tvgs-e--ptflha sdtlladpsllfla-h---------dptilaklefpkc--e---gagcqk ---nh----eatsdcpmcctpsccrlevgcdegvheanlkdcetkaeyga ktpdyivgvgne---iswevvyeviveyltpk---------fftgfgfev alg-v-----iltlpryk-------g-k-g--tgs----kgqsttlvelv vdyrtlvkakntkhghpsgnirs----gdirdkyymrlhggtlkqtvamm --h-egsi--------tagvfcihnpiesidfvlaht-----alk---lf shektsthlt-gldqiaayhgfkllt--kysrwdyr-eklprfliglaaa dftk-sf-------------qkkk------kpkherala--klavigepn qislks-----------------ysakl----gefacpdghgakgsre-- --------gglnsnwc-a-ttgftagpr-s---kgartgla---gtf--- ---------k-vagqcy-g----grq--gtgeiggkgyirvyligfygst khhtf---------edsniliekfsqlgytwpai---------------- --saayeeea-pkhfl----- >H g--pm----aafctl---rtlieisg-snsfh-gvean---s-------- phnev-------tqgeaefal-----vtkyrceplnkvgs-i--t--ahp sat-lahd--vlla-r---------kp-vlerlelpkc--n---aagcgk ---rh----e---dt-tccgp-----n---eqnvhepnlkncstmgeyga pisgvlggag-g---f--itvydsiihflg-------------g------ -ag-ickdptflslpr---------aek-d-ssgtkltgsgrsvtltqls -dyhtvkk---skhehpsgniklmmdpgdvrdkyylklhge--dqsigml --hypgne--------iagvfcidihisifnmvltnn-----aln---lf hherfalhlt-sidevsafagfkllgpkkygiwdykmdktqrffmglelk ifan-sffy---tmhrn-tiqakstpsreflqk-----a--kllviaepv gislkd-----------------faskf----gefacadqrng-gsrkd- --------aglnanwc-a-ampftasir-tdrig--rtglpenagpf--- ---------k-vagqch-nc---srh--gaweiggkdyv---lvsfycqi ehhafq---cviitaehnkliikingl------lalpphseaapkacrgr mpaavyaeep-sknfhs---k >B vciwi----agycamacms---svrpgmkefq-----d---sv--csgkn hkrev-------tegh-nysvfkakkvnryac------vp-e--alflpg aeilltqr--lfl-rl---------esstlarivfpkc--g---pag-ek tvpresvpfv---qantccrp-----q---aeeahnpnv----kkadyga rinthlsseg-qvvafcwvgqysalaqflkpd---------i-------- --g-l-----flalp-gkadnvwfsg-e-g--fa--------evsvcqis -t---flaskngkqghsngsvkl--hacenrnk-----ngvkgeasaptv --h-aasipdvdnlcrssgafckql--------lght-----afk---fv rphra--hia-gvtaitafkgfkilgpkqygiwqykse-------glvlr vnse-nfy-agktmqre-dkdkrt------hqd-----a--kllvf--pi evhlks-----------------yrkkl----gefaccdgkdatka---- --------tslasnscsg-n--ftvavpva---gsaltnlg---tsf--- ---------kglaapvy-ecvyg-rh--gaseig-pswvivylggfycsi kdhafq---nflp---kdvllqkinkl------d---------------- --tvqypdqaaakdleakead >G g--rm----agfcql---m---elan-tdqfh-gvean---a-------- pqhev-------tqgeaefal-----atlyscdplnkvgs-d--tafaha aae-laqd--llla-h---------kp-vlerlefpkc--n---aagce- ----n----s---etplccgp-----n---eenihnsnlkdcdtmseyga pisgvlggvg-g---fcwivayapyieflspk---------ifg------ -lg-ickdptflslpr---------vdk-dlssgt----dgsfvtltqlt -dyhmvkk---akhghpsgni------gtprdkyylalhgg--desigml --h-agsi--------tanvhcihi----fnmvlqtk-----tln---lf hqeksalhlt-sldeiaafagfkllgfkkfgiwdykmdrlqrffm----k ifan-gff----sqhrn-tiqsrttpd--flqk-----aqsklviicepi elslkecmapfdaihkgsgksplftskf----vefacadarna-gssash l-------aglsanwc-a-avpfiagik-terig--rkglp---tpf--- ---------k-vttqcndec---grh--gaweiggqdyv---lvsfycef drhafqiakcviisedhniliikinal------v---------------- --aavyeeea-sln------k >node7 actwm----aayctmvcmr---svrpgsddfhhgveld---sv--cdgtn qrhea-------tegh-efsvfkakkvsrykcgpk-kivp-e--alflha aeilmaqk--lfla-l---------esstlarlvfpkc--g---aagcek tvsrqfvpfv---qcpvccap-----q---aeevhepnl----kkpeyga rinshlssag-qvvafcwigqynafaqflnpn---------ifg------ -lg-a-----flavprfk-------g-k-g--tg--------evsvvelv -thhtimkskngkhghpsgnisl--npsdirdk-----aggkgeqavamv --h-agsipdldnlcrssgafckqlpissfdavlahr-----alk---lf rahrsaiqlt-gvneitafkgfkvlgpnkygiwdykleklqrfslglvlr vnse-sff----tmhre-akdkrt------yqk-----a--kllvledpi evhlks-----------------ypskl----gefacpdgkdassaree- --------tslnsnwc-g-ndpftvavpvt---gsaltdlg---gsf--- ---------k-nagpcy-ecvyg-rh--gaweiggkswtrvylvgfycsv kdhafq---yvli-tdrnvllekisal------d---------------- --saayaeeatakplealkln >D actwm----ady-----mr---avppgcddfnhavele---sa--csgtd qr-ea-------tgah-efgvfkahnvgryncspk-ei-tsnnftlflha aavlmgqk--sfhg-lwpgkglfvigrselallvfpks--g---tsgcek nv-ktlipyv---qcriccap-----e---ayevnnsnl----kkpeyaa rgksnlstvg-qvpascwigqyhnyaqflkpn---atsfttvfg------ -vn-t-----lskaprfk-------g-kks--tg--------elsvvelv -thhelappkngkhghpsgnlpl--dps------------------vgmv --h-aggipdlanlcrtsglfckklpiscfdaelphh-----avk---lf ksrrpviqlplgvnaitafkgfkvlgpskygvfdyklervqryslnlvl- insdrsff----tiqrevakdkrt------hqk-----i--nlllleepi evhfks-----------------ypaslististfacpdakeassvsne- --------tplrsnwc-s-ndsnsvavhra---gyaltdlg---gsydkv atl------v-nggacy-evvya-rhtvdaweiggkastrvylagfycwv kthafk---yvka-tdrnvlleklsml------n---------------- --saayaeqatakrldem--- >A vctwi----pgycamactk---avrpglrefqhganle---sv--cdgtn rkrea-------tedr-qfsvfkvkkvsrytc------vp-d--slwlpg aeilatqr--afl--l---------els-lprlvfpkcqqgergvag-er tvirhlvpfv---qavtcctp-----q---aeeaq-pnv----kkaeygg krn--lsaeg-qvavfcwigqynafahflnpn---------i-------- --g-i-----ilalp-gk-------a-e-g--sa--------avsvsevc -vhqtilkskngkhghgngqvsl--hpyeiknk-----kgvqgeaavati avh-agsypnvdslcrssggfckslplssfdgmlaht-----vlkpnsla rp-wa--qlt-gvnditaftgfkilgpkqygfwdyksd-------glvlr vnse-sff-tgktmpre-ikdkrt------hqk-----a--kllvledpi vih--------------------ypkkl----geftskdgkdatns---- --------aavngswc-g-t--ftvavsts---gsaltnig---sef--- ---haggeekgvagpvy-ecvyg-rh--gaweiggnsrsrlylggfycsl kdhafq---lvmi-tdnnallqkigkl------d---------------- --saayadeavvraleamklt >node14 g--rm----aafctl---r---airpgsddfh-gveln---t-------- prhev-------tqgeaefal-----vtrykcgpl-kvgs-e--paflha aetllaek--lfla-h---------epsvlarlefpkc--n---aagcek ---rh----a---dcpmcctp-----d---eenvhepnlkdceskgeyga kiasflsgvg-e---fcwivayeaivqfltpk---------ifg------ 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qlslkg-----------------ypskf----gefactdgrna-gsrae- --------aglnanwc-a-adpftagir-terig--rtglp---gpf--- ---------k-vagqcn-ec---grh--gaweiggkdyv---lvsfycei dhhafq---cviitadhniliikinal------i---------------- --aavyeeea-sknfhs---k >node15 gctwm----aafctl---r---sirpgsddfh-gveld---thckcdgtn prhea-------tqgd-efalykatkvtrykcgpl-kvgs-e--alflha aeilmaek--lfla-h---------essvlerlefpkc--n---aagcek tvsrq----v---dcpmccap-----q---dedvhepnlkdcekkpeyga rinshlsgag-qvvafcwigqydaiaqfltpk---------ifg------ -lg-a-----flalprfk-------g-k-g--sgt----tgqsvsvtelv -nhhtvmksknakhghpsgnisl--npsdirdk-----sggkgeqsvamv --h-agsipevdnlcrtsgvfckqipistftavlthr-----alk---lf rdhrsaiqlt-gvneitafkgfkvlgpkkygiwdyrleklqrfslglvlr vnak-sff----tmhre-aadkrt------eqk-----a--kllvledpi evslks-----------------ypskl----gefacpdgkdasgsred- --------aglnsnwc-g-ndpftvavrvt---gsartglg---gsf--- ---------k-vagqcy-ec---grq--gaweiggkgwvrvylvgfycsv kdhafq---yvli-tdsnillekisal------i---------------- --saayaeea-akpfqalqls >node10 g--rm----ggycil---r---airsgsedfh-gfeln---t-------- prhev-------tqgeaefal-----vtrykcgpl-kvgs-e--ptflha aetllaek--lfla-h---------dptvlanlefpkc--e---gagcqk ---rh----e---dcpmcctp-----evgvdenvheanlkdcetkgeyga kipsfisgvg-e---icwivvyetivqyltpk---------ffggfsfev alg-i-----ilalpryk-------g-k-g--tgt----kgqtatlvelv -dyrtivkakntkhghpsgnirs----gdirdkyymrlhggalkqtvamm --h-egsi--------tagvfcihipiksfdsvlthk-----alk---lf sheksavhlt-gldqitayhgfkllg--kygiwdyrleklqrfflgmalk nfak-sff----tmhrn-tiekkt------kqkqerala--kllviadpt qislks-----------------ypakl----gefacpdghsakgsre-- --------gglnanwc-a-tteftagnr-t---ggartgla---gtf--- ---------k-vagqcy-e----grq--gageiggkgyirvylvgfysst khhafq---cvri-edsniliekisqlgy----i---------------- --saayeeea-pkhfls---s >node3 vciwi----agycamacmr---svrpglkefqhgveld---sv--cdgtn qkrea-------tegh-nfsvfkakkvsryac------vp-e--alflpg aeilmtqr--lfl--l---------esstlarlvfpkc--g---aag-ek tvsrqfvpfv---qantcctp-----q---aeeahdpnv----kkaeyga rinshlsseg-qvvafcwigqynafaqflnpn---------i-------- --g-i-----flalp-gk-------g-d-g--sa--------evsvsevs -thhtilkskngkhghpngsvsl--hpceirnk-----ngvkgeaavatv --h-agsipdvdnlcrssgafckqlplssfdgmlaht-----alk---la rphra--qlt-gvneitafkgfkilgpkqygiweykse-------glvlr vnse-sff-tgktmhre-akdkrt------hqk-----a--kllvledpi evhlks-----------------ypkkl----gefacsdgknatka---- --------tslnsnwc-g-n--ftvavpvt---gsaltnlg---gsf--- ---------kglagpvy-ecvyg-rh--gaweiggkswtrvylggfycsi kdhafq---fvli-tdrnvllqkigkl------d---------------- --saayadeaaakpleamkln >C actwl-lgsagy-----mr---avrpgcddfhhgvqle---sa--cdgsd qr-eatavdtsrspaq-efavfkakkvgayncspk-kl-tan--alflna aailmvqk--snkg-l---------qrntlarlmfpni--g---dagcek tv-rqfvpfv---qcriccap-----q---ayevnnhnl----krpe--a gtnsnlsssg-qivapsalgrkeafaqflnpn---------iyg------ -vgwa-----lltaprfk-------g-k-s--t-------------ielv -thhtiappkngkrghptsi-pl--npw------------------vamv --h-agg-psmddlcrtsglfck-lplncfdavlahhlrcetali---lf sahrsivqlp-qvieitafkgykvlgankfgiwefklemlqryslnlvi- vnsekaff----tmqrsvar--rt------nsk-----a--dllkledpi evhlks-----------------ypaka----sefsspdgkeassvree- --------kpvvaewc-gvnesfavavhva---gsalaelg---gssekv atl------n-dagpcy-ectya-rh--eawevgekswtriylvgfycsv kdhafq---yvki-tdrnvllgklssq------e---------------- --saaypsqataktlgalkln
(* ::Package:: *) (* :Title: Limiti *) (* :Context: Limiti`*) (* :Author: Sebastian Davrieux *) (* :Summary: Versione preliminare di funzione per il calcolo dei limiti agli estremi della funzione *) (* :Copyright: Davrieux *) (* :Package Version: *) (* :Mathematica Version: *) (* :History: *) (* :Sources: biblio *) (* :Limitations: *) (* :Discussion: *) BeginPackage["Limiti`"] CreazioneListaDominio::usage = "CreazioneListaDominio[listaDominio,dominio] crea la lista da essere usata per chiamare le altre funzioni." CalcolaEstremiInferiori::usage = "CalcolaEstremiInferiori[estremiInferiori,dominio] calcola gli estremi inferiori del dominio." CalcolaEstremiSuperiori::usage = "CalcolaEstremiSuperiori[estremiSuperiori,dominio] calcola gli estremi superiori del dominio." CalcolaLimiti::usage = "CalcolaLimiti[f,x] calcola i limiti e gli asintoti." Begin["`Private`"] ControlloSeLista[var_]:=( If[ListQ[var],var,{var}] ); SetAttributes[CreazioneListaDominio,HoldFirst]; CreazioneListaDominio[listaDominio_,dominio_]:=(listaDominio=Union[listaDominio,ControlloSeLista[Select[dominio,Head[#]==Greater&]]]; listaDominio=Union[listaDominio,ControlloSeLista[Select[dominio,Head[#]==GreaterEqual&]]]; listaDominio=Union[listaDominio,ControlloSeLista[Select[dominio,Head[#]==Inequality&]]]; listaDominio=Union[listaDominio,ControlloSeLista[Select[dominio,Head[#]==Less&]]]; listaDominio=Union[listaDominio,ControlloSeLista[Select[dominio,Head[#]==LessEqual&]]]; listaDominio = DeleteCases[listaDominio,False]; ); SetAttributes[CalcolaEstremiInferiori,HoldFirst]; CalcolaEstremiInferiori[estremiInferiori_,dominio_]:=(estremiInferiori=Union[estremiInferiori,#[[2]]&/@Select[dominio,Head[#]==Greater&]]; estremiInferiori=Union[estremiInferiori,#[[2]]&/@Select[dominio,Head[#]==GreaterEqual&]]; estremiInferiori=Union[estremiInferiori,If[#[[2]]===Less,#[[1]]]&/@Select[dominio,Head[#]==Inequality&]]; estremiInferiori=Union[estremiInferiori,If[#[[2]]===LessEqual,#[[1]]]&/@Select[dominio,Head[#]==Inequality&]]; estremiInferiori=Union[estremiInferiori,If[#[[2]]===Greater,#[[5]]]&/@Select[dominio,Head[#]==Inequality&]]; estremiInferiori=Union[estremiInferiori,If[#[[2]]===GreaterEqual,#[[5]]]&/@Select[dominio,Head[#]==Inequality&]]; estremiInferiori=DeleteCases[estremiInferiori,Null]; ); SetAttributes[CalcolaEstremiSuperiori,HoldFirst]; CalcolaEstremiSuperiori[estremiSuperiori_,dominio_]:=(estremiSuperiori=Union[estremiSuperiori,#[[2]]&/@Select[dominio,Head[#]==Less&]]; estremiSuperiori=Union[estremiSuperiori,#[[2]]&/@Select[dominio,Head[#]==LessEqual&]]; estremiSuperiori=Union[estremiSuperiori,If[#[[2]]===Less,#[[5]]]&/@Select[dominio,Head[#]==Inequality&]]; estremiSuperiori=Union[estremiSuperiori,If[#[[2]]===LessEqual,#[[5]]]&/@Select[dominio,Head[#]==Inequality&]]; estremiSuperiori=Union[estremiSuperiori,If[#[[2]]===Greater,#[[1]]]&/@Select[dominio,Head[#]==Inequality&]]; estremiSuperiori=Union[estremiSuperiori,If[#[[2]]===GreaterEqual,#[[1]]]&/@Select[dominio,Head[#]==Inequality&]]; estremiSuperiori=DeleteCases[estremiSuperiori,Null]; ); CalcolaLimiti[f_,x_]:=( dominio =FunctionDomain[f[x],x]; dominio=If[Head[dominio]===Or,dominio,{dominio}]; listaDominio={}; CreazioneListaDominio[listaDominio,dominio]; listaDominio; Print["quindi gli estremi inferiori sono: "]; estremiInferiori={}; CalcolaEstremiInferiori[estremiInferiori,listaDominio]; Print[estremiInferiori]; Print["quindi gli estremi superiori sono: "]; estremiSuperiori = {}; CalcolaEstremiSuperiori[estremiSuperiori,listaDominio]; Print[estremiSuperiori]; calcolaInfinito=If[Max[estremiInferiori]>= Max[estremiSuperiori],True,False]; calcolaMenoInfinito=If[Min[estremiInferiori]>= Min[estremiSuperiori],True,False]; If[calcolaMenoInfinito,(Print["Il limite per x->",-\[Infinity]," nell'intorno destro = ",Limit[f[x],x->-Infinity],If[NumberQ[Limit[f[x],x->-Infinity]]," quindi \[EGrave] un asintoto orizzontale.", " quindi \[EGrave] un asintoto verticale."]])] If[calcolaInfinito,(Print["Il limite per x->",+\[Infinity]," nell'intorno sinistro = ",Limit[f[x],x->Infinity],If[NumberQ[Limit[f[x],x->Infinity]]," quindi \[EGrave] un asintoto orizzontale.", " quindi \[EGrave] un asintoto verticale."]])] (Print["Il limite per x->",# ," nell'intorno destro = ",Limit[f[x],x->#,Direction->1],If[NumberQ[Limit[f[x],x->#,Direction->1]]," quindi \[EGrave] un asintoto orizzontale.", " quindi \[EGrave] un asintoto verticale."]])&/@estremiInferiori; (Print["Il limite per x->",# ," nell'intorno sinistro = ",Limit[f[x],x->#,Direction->-1],If[NumberQ[Limit[f[x],x->#,Direction->-1]]," quindi \[EGrave] un asintoto orizzontale.", " quindi \[EGrave] un asintoto verticale."]])&/@estremiSuperiori; ); End[] EndPackage[]
(* Mathematica Package *) (* Created by Mathematica Plugin for IntelliJ IDEA *) (* :Title: ExPlot *) (* :Context: ExPlot` *) (* :Author: GalAster *) (* :Date: 2016-5-12 *) (* :Package Version: 0.5 *) (* :Update: 2016-10-17 *) (* :Mathematica Version: 11.0+ *) (* :Copyright:该软件包遵从CC协议:BY+NA+NC(署名、非商业性使用、相同方式共享) *) (* :Keywords: *) (* :Discussion: *) BeginPackage["ExPlot`"]; Begin["`Private`"]; InfinitePlot[list_]:=Module[{funs,func,tick,axis,coor}, funs=ArcTan[Function[x,#][Tan[x]]]&/@list; func=Plot[Evaluate@funs,{x,-Pi/2,Pi/2},AspectRatio->1,Axes->False,PlotLegends->list,PerformanceGoal->"Quality",MaxRecursion->15]; tick=N@ConstantArray[Pi/2,12]-((Pi/2^#)&/@Range[12]); axis={{{0,0},{Pi/2.0,0}}}~Join~({{#,0.02},{#,-0.02}}&/@tick); coor=Graphics[Line/@((#.RotationMatrix[Pi/2])~Join~#)&@(axis~Join~-axis)]; Show[func,coor,ImageSize->Large]]; InfiniteListPlot[list_]:= Module[{funs,xxx,data,func,tick,axis,coor}, funs=ArcTan[Function[x,#][Tan[x]]]&/@list; xxx=Subdivide[-Pi/2,-Pi/4.0,800]~Join~Subdivide[-Pi/4,Pi/4.0,400]~Join~Subdivide[Pi/4,Pi/2.0,800]; data=Transpose[{xxx,Function[x,#]/@xxx}]&/@funs; func=ListLinePlot[data,AspectRatio->1,Axes->False,PlotLegends->list,PlotRangeClipping->False]; tick=N@ConstantArray[Pi/2,12]-((Pi/2^#)&/@Range[12]); axis={{{0,0},{Pi/2.0,0}}}~Join~({{#,0.02},{#,-0.02}}&/@tick); coor=Graphics[Line/@((#.RotationMatrix[Pi/2])~Join~#)&@(axis~Join~-axis)]; Show[func,coor,ImageSize->Large]]; ComplexPlot[f_]:=Module[{fun,data,RE,IM,ABS}, fun=Table[f/.z->(xI+y),{x,-4,4,0.02},{y,-4,4,0.02}]; data=2ArcTan[#@fun]/Pi&/@{Re,Im,Abs}; {RE,IM,ABS}=ArrayPlot[#,ColorFunction->"TemperatureMap"]&/@data; GraphicsGrid[{{RE,ABS,SpanFromLeft},{IM,SpanFromAbove,SpanFromBoth}},ImageSize->Large]]; Gray3DPlot[img_,points_:200]:=Module[{gray}, gray=Reverse@ImageData@RemoveAlphaChannel@ColorConvert[img,"Grayscale"]; ListPlot3D[gray,ColorFunction->GrayLevel,MaxPlotPoints->points,Boxed->False,Axes->False,Mesh->None]]; WavePlot[img_,mf_:5,md_:80,ops___]:=Module[{in,gray}, in=ImageResize[MeanFilter[img,mf],{200,md}]; gray=Reverse@ImageData@RemoveAlphaChannel@ColorConvert[in,"Grayscale"]; ListPlot3D[gray,Mesh->{0,md},PlotStyle->Opacity[0],Boxed->False,Axes->False,ops]]; Options[letter]={ImageSize->100}; letter[s_,OptionsPattern[]]:=Binarize@Graphics[ {EdgeForm[None],FaceForm[Black], First[First[ImportString[ExportString[Style[s,FontSize->100],"PDF"], "PDF","TextMode"->"Outlines"]]]},AspectRatio->1, ImageSize->OptionValue[ImageSize]]; GEBPlot[str_String,res_Integer:100]:=Module[{X,Y,Z}, {X,Y,Z}=(ImageData@letter[#,ImageSize->res])&/@StringPartition[str,1]; Quiet@RegionPlot3D[X[[Round[i],Round[j]]]==0&&Y[[Round[i],Round[k]]]==0&& Z[[Round[j],Round[k]]]==0,{i,1,res},{j,1,res},{k,1,res}, Boxed->False,Axes->False,Mesh->None,PlotPoints->res/10]]; FunQ={ConstantArray[#1,Length@{##2}],{##2}}&@@@NestList[RotateLeft,#,Length@#-1]&; FunGE[{a_,b_}]:=If[Inner[GreaterEqual,a,b,And],a[[1]],I]; FunLE[{a_,b_}]:=If[Inner[LessEqual,a,b,And],a[[1]],I]; (*Thanks to @Apple*) MaxPlot[funcs_,range_,ops___]:=Plot[Evaluate[FunGE/@(FunQ@funcs)],range,ops]; MinPlot[funcs_,range_,ops___]:=Plot[Evaluate[FunLE/@(FunQ@funcs)],range,ops]; MaxPlot3D[funcs_,range_,ops___]:=Plot3D[Evaluate[FunGE/@(FunQ@funcs)],range,ops]; MinPlot3D[funcs_,range_,ops___]:=Plot3D[Evaluate[FunLE/@(FunQ@funcs)],range,ops]; DigitsPlot[x_,num_:100,dig_:10,ops___]:= ArrayPlot[Partition[RealDigits[x,dig,num][[1]],dig],Mesh->True,ops]; End[]; EndPackage[];
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//Maya ASCII 6.5 scene //Name: Wall_Column_Wood_03.ma //Last modified: Sun, Mar 23, 2008 11:52:14 PM requires maya "6.5"; currentUnit -l centimeter -a degree -t film; fileInfo "application" "maya"; fileInfo "product" "Maya Unlimited 6.5"; fileInfo "version" "6.5"; fileInfo "cutIdentifier" "200501140008-637295"; fileInfo "osv" "Microsoft Windows XP Service Pack 2 (Build 2600)\n"; createNode transform -n "Wall_Column_Wood_01:pCube6"; setAttr ".t" -type "double3" -0.25 0 0.25 ; createNode mesh -n "Wall_Column_Wood_01:pCubeShape6" -p "Wall_Column_Wood_01:pCube6"; setAttr -k off ".v"; setAttr ".vir" yes; setAttr ".vif" yes; setAttr ".uvst[0].uvsn" -type "string" "map1"; setAttr -s 48 ".uvst[0].uvsp[0:47]" -type "float2" 0.94193256 0.60571504 0.88553572 0.60571504 0.94193256 0.60571504 0.88553572 0.60571504 0.88553572 0.77558023 0.94193256 0.77558023 0.94193256 0.82204682 0.88553572 0.82204682 0.79741967 0.60571504 0.74618399 0.60571504 0.74618399 0.60571504 0.79741967 0.60571504 0.89262277 0.77558023 0.93484551 0.77558023 0.93484551 0.77558023 0.89262277 0.77558023 0.89262277 0.77558023 0.89262277 0.82204676 0.93484551 0.77558023 0.93484551 0.82204676 0.79741967 0.76842272 0.88553572 0.77558023 0.88553572 0.76842272 0.94193256 0.77558023 0.79033256 0.77558023 0.88553572 0.7830556 0.75327104 0.77558023 0.88553572 0.81457132 0.94193256 0.7830556 0.79033256 0.77558023 0.94193256 0.81457132 0.93484551 0.82204676 0.74618399 0.76842272 0.88553572 0.76842266 0.94193256 0.76842266 0.74618399 0.76842266 0.94193256 0.81457132 0.75327104 0.77558023 0.88553572 0.81457132 0.89262277 0.82204676 0.94193256 0.7830556 0.93484551 0.77558023 0.89262277 0.77558023 0.88553572 0.7830556 0.94193256 0.82204682 0.79741967 0.76842266 0.94193256 0.76842272 0.88553572 0.82204682; setAttr ".cuvs" -type "string" "map1"; setAttr ".dcc" -type "string" "Ambient+Diffuse"; setAttr -s 16 ".pt[0:15]" -type "float3" 1 0 1 1.5 0 1 1 0 0.5 1.5 0 0.5 1 0 1 1.5 0 1 1 0 0.5 1.5 0 0.5 1 0 1 1.5 0 1 1 0 1 1 0 0.5 1.5 0 1 1.5 0 0.5 1 0 0.5 1.5 0 0.5; setAttr -s 16 ".vt[0:15]" -0.75 0 0.75 0.75 0 0.75 -0.75 0 -0.75 0.75 0 -0.75 -0.5 6 0.75 0.5 6 0.75 -0.5 6 -0.75 0.5 6 -0.75 -0.75 5.75 0.75 0.75 5.75 0.75 -0.75 6 0.5 -0.75 6 -0.5 0.75 6 0.5 0.75 6 -0.5 -0.75 5.75 -0.75 0.75 5.75 -0.75; setAttr -s 24 ".ed[0:23]" 0 1 0 2 3 0 0 8 0 1 9 0 2 0 0 3 1 0 4 5 0 6 7 0 10 11 0 12 13 0 14 2 0 15 3 0 8 4 0 4 10 0 10 8 0 9 12 0 12 5 0 5 9 0 11 6 0 6 14 0 14 11 0 13 15 0 15 7 0 7 13 0; setAttr -s 48 ".n[0:47]" -type "float3" 0 -4.5 0 0 -4.5 0 0 -4.5 0 0 -4.5 0 -0.0625 0.0625 0.0625 -0.0625 0.0625 0.0625 -0.0625 0.0625 0.0625 0.0625 0.0625 0.0625 0.0625 0.0625 0.0625 0.0625 0.0625 0.0625 -0.0625 0.0625 -0.0625 -0.0625 0.0625 -0.0625 -0.0625 0.0625 -0.0625 0 0 17.875 0 0 17.875 0 0 17.875 0 0 17.875 0 0 17.875 0 0 17.875 0.0625 0.0625 -0.0625 0.0625 0.0625 -0.0625 0.0625 0.0625 -0.0625 -17.875 0 0 -17.875 0 0 -17.875 0 0 -17.875 0 0 -17.875 0 0 -17.875 0 0 17.875 0 0 17.875 0 0 17.875 0 0 17.875 0 0 17.875 0 0 17.875 0 0 0 0 -17.875 0 0 -17.875 0 0 -17.875 0 0 -17.875 0 0 -17.875 0 0 -17.875 0 4.25 0 0 4.25 0 0 4.25 0 0 4.25 0 0 4.25 0 0 4.25 0 0 4.25 0 0 4.25 0; setAttr -s 10 ".fc[0:9]" -type "polyFaces" f 4 1 5 -1 -5 mu 0 4 4 5 6 7 f 3 14 12 13 mu 0 3 43 21 42 f 3 15 16 17 mu 0 3 23 40 41 f 3 20 18 19 mu 0 3 47 27 39 f 6 0 3 -18 -7 -13 -3 mu 0 6 0 1 22 15 13 46 f 3 21 22 23 mu 0 3 31 44 36 f 6 4 2 -15 8 -21 10 mu 0 6 10 11 20 24 26 32 f 6 -6 -12 -22 -10 -16 -4 mu 0 6 8 9 35 37 29 45 f 6 -20 7 -23 11 -2 -11 mu 0 6 33 16 18 34 2 3 f 8 -14 6 -17 9 -24 -8 -19 -9 mu 0 8 25 12 14 28 30 19 17 38 ; createNode materialInfo -n "Wall_Column_Wood_01:materialInfo3"; createNode shadingEngine -n "Wall_Column_Wood_01:lambert4SG"; setAttr ".ihi" 0; setAttr -s 3 ".dsm"; setAttr ".ro" yes; createNode lambert -n "Wall_Column_Wood_01:lambert4"; createNode file -n "Wall_Column_Wood_01:file4"; setAttr ".ftn" -type "string" "D:/Projects/RPG ENGINE/Meshes/Texture_Wall_Interior_01.png"; createNode place2dTexture -n "Wall_Column_Wood_01:place2dTexture4"; createNode lightLinker -n "lightLinker1"; setAttr -s 3 ".lnk"; select -ne :time1; setAttr ".o" 1; select -ne :renderPartition; setAttr -s 3 ".st"; select -ne :renderGlobalsList1; select -ne :defaultShaderList1; setAttr -s 3 ".s"; select -ne :postProcessList1; setAttr -s 2 ".p"; select -ne :defaultRenderUtilityList1; select -ne :lightList1; select -ne :defaultTextureList1; select -ne :lambert1; setAttr ".c" -type "float3" 0.5 0.327575 0.19749999 ; select -ne :initialShadingGroup; setAttr -s 10 ".dsm"; setAttr ".ro" yes; select -ne :initialParticleSE; setAttr ".ro" yes; select -ne :hardwareRenderGlobals; addAttr -ci true -sn "ani" -ln "animation" -bt "ANIM" -min 0 -max 1 -at "bool"; setAttr ".fn" -type "string" "%s.%e"; setAttr ".ctrs" 256; setAttr ".btrs" 512; setAttr -k on ".ani"; select -ne :defaultHardwareRenderGlobals; setAttr ".fn" -type "string" "im"; setAttr ".res" -type "string" "ntsc_4d 646 485 1.333"; select -ne :ikSystem; setAttr -s 3 ".sol"; connectAttr "Wall_Column_Wood_01:lambert4SG.msg" "Wall_Column_Wood_01:materialInfo3.sg" ; connectAttr "Wall_Column_Wood_01:lambert4.msg" "Wall_Column_Wood_01:materialInfo3.m" ; connectAttr "Wall_Column_Wood_01:file4.msg" "Wall_Column_Wood_01:materialInfo3.t" -na; connectAttr "Wall_Column_Wood_01:lambert4.oc" "Wall_Column_Wood_01:lambert4SG.ss" ; connectAttr "Wall_Column_Wood_01:pCubeShape6.iog" "Wall_Column_Wood_01:lambert4SG.dsm" -na; connectAttr "pCubeShape6.iog" "Wall_Column_Wood_01:lambert4SG.dsm" -na; connectAttr "pCubeShape21.iog" "Wall_Column_Wood_01:lambert4SG.dsm" -na; connectAttr "Wall_Column_Wood_01:file4.oc" "Wall_Column_Wood_01:lambert4.c"; connectAttr "Wall_Column_Wood_01:place2dTexture4.c" "Wall_Column_Wood_01:file4.c" ; connectAttr "Wall_Column_Wood_01:place2dTexture4.tf" "Wall_Column_Wood_01:file4.tf" ; connectAttr "Wall_Column_Wood_01:place2dTexture4.rf" "Wall_Column_Wood_01:file4.rf" ; connectAttr "Wall_Column_Wood_01:place2dTexture4.mu" "Wall_Column_Wood_01:file4.mu" ; connectAttr "Wall_Column_Wood_01:place2dTexture4.mv" "Wall_Column_Wood_01:file4.mv" ; connectAttr "Wall_Column_Wood_01:place2dTexture4.s" "Wall_Column_Wood_01:file4.s" ; connectAttr "Wall_Column_Wood_01:place2dTexture4.wu" "Wall_Column_Wood_01:file4.wu" ; connectAttr "Wall_Column_Wood_01:place2dTexture4.wv" "Wall_Column_Wood_01:file4.wv" ; connectAttr "Wall_Column_Wood_01:place2dTexture4.re" "Wall_Column_Wood_01:file4.re" ; connectAttr "Wall_Column_Wood_01:place2dTexture4.of" "Wall_Column_Wood_01:file4.of" ; connectAttr "Wall_Column_Wood_01:place2dTexture4.r" "Wall_Column_Wood_01:file4.ro" ; connectAttr "Wall_Column_Wood_01:place2dTexture4.n" "Wall_Column_Wood_01:file4.n" ; connectAttr "Wall_Column_Wood_01:place2dTexture4.vt1" "Wall_Column_Wood_01:file4.vt1" ; connectAttr "Wall_Column_Wood_01:place2dTexture4.vt2" "Wall_Column_Wood_01:file4.vt2" ; connectAttr "Wall_Column_Wood_01:place2dTexture4.vt3" "Wall_Column_Wood_01:file4.vt3" ; connectAttr "Wall_Column_Wood_01:place2dTexture4.vc1" "Wall_Column_Wood_01:file4.vc1" ; connectAttr "Wall_Column_Wood_01:place2dTexture4.o" "Wall_Column_Wood_01:file4.uv" ; connectAttr "Wall_Column_Wood_01:place2dTexture4.ofs" "Wall_Column_Wood_01:file4.fs" ; connectAttr ":defaultLightSet.msg" "lightLinker1.lnk[0].llnk"; connectAttr ":initialShadingGroup.msg" "lightLinker1.lnk[0].olnk"; connectAttr ":defaultLightSet.msg" "lightLinker1.lnk[1].llnk"; connectAttr ":initialParticleSE.msg" "lightLinker1.lnk[1].olnk"; connectAttr ":defaultLightSet.msg" "lightLinker1.lnk[2].llnk"; connectAttr "Wall_Column_Wood_01:lambert4SG.msg" "lightLinker1.lnk[2].olnk"; connectAttr "Wall_Column_Wood_01:lambert4SG.pa" ":renderPartition.st" -na; connectAttr "Wall_Column_Wood_01:lambert4.msg" ":defaultShaderList1.s" -na; connectAttr "Wall_Column_Wood_01:place2dTexture4.msg" ":defaultRenderUtilityList1.u" -na; connectAttr "lightLinker1.msg" ":lightList1.ln" -na; connectAttr "Wall_Column_Wood_01:file4.msg" ":defaultTextureList1.tx" -na; // End of Wall_Column_Wood_03.ma
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