Setting apart the two different times

code/RDownScriptalphabeta.m

@@ -136,29 +136,10 @@ t0 = tmax+tshift
 data = Select[sxsrhs[[1]],#[[1]]>= t0&];
 
 
-(*tmax=TimeOfMaximum[sxsrhs[[1]]];
-t01=tmax
-mysxscase22modeRD=Select[sxsrhs[[1]],#[[1]]\[GreaterEqual] tmax-25&];
+(*mysxscase22modeRD=Select[sxsrhs[[1]],#[[1]]\[GreaterEqual] tmax-25&];
 data1 = Select[mysxscase22modeRD, #[[1]]\[GreaterEqual]tmax+tshift&]*)
 
 
-(*tabvars=Table[
-randomvar\[Alpha]s= RandomReal[{-\[Omega]fact, \[Omega]fact}, ntones];
-randomvar\[Beta]s = RandomReal[{-\[Tau]fact, \[Tau]fact}, ntones];
-ansatz=OvertoneModelV2[ntones,{\[Eta],\[Chi]1,\[Chi]2},t0,"Fit\[Alpha]"\[Rule]Range[1, ntones],"Fit\[Tau]"\[Rule]Range[1, ntones],"ModesData"->Modedata]
-/.Table[alphas[[i]]\[Rule]randomvar\[Alpha]s[[i]],{i,ntones}]/.Table[betas[[j]]\[Rule]randomvar\[Beta]s[[j]],{j,ntones}];
-data=Select[mysxscase22modeRD, #[[1]]\[GreaterEqual]tmax+19&];
-cfit=NonlinearModelFit[data,ansatz,spectrum,t];
-cfitd=Transpose[{data[[All,1]],Normal[cfit]/.t->data[[All,1]]}];
-alphasandmis = Join[alphas/.Table[alphas[[i]]\[Rule]randomvar\[Alpha]s[[i]],{i,ntones}], {1-EasyMatchT[data,cfitd,tmax+19,tmax+90]}]; 
-(* This extra step is to make sure everything's correct, and also to make the output a uniform shape *)
-betasandtfit = Join[betas/.Table[betas[[j]]\[Rule]randomvar\[Beta]s[[j]],{j,ntones}], {tshift}];
-complexamps = spectrum/.cfit["BestFitParameters"];
-amplitudes = Re[Sqrt[complexamps * Conjugate[complexamps]]];
-phases = Mod[Arg[complexamps], 2 Pi];
-{alphasandmis, betasandtfit, amplitudes, phases}, {j,npoints}];*)
-
-
 tabvars=Table[
 randomvar\[Alpha]s= RandomReal[{-\[Omega]fact, \[Omega]fact}, ntones];
 randomvar\[Beta]s = RandomReal[{-\[Omega]fact, \[Omega]fact}, ntones];
@@ -175,25 +156,8 @@ phases = Mod[Arg[complexamps], 2 Pi];
 {alphasandmis, betasandtfit, amplitudes, phases}, {j,npoints}];
 
 
-tabvars1=Table[
-randomvar\[Alpha]s= RandomReal[{-\[Omega]fact, \[Omega]fact}, ntones];
-randomvar\[Beta]s = RandomReal[{-\[Omega]fact, \[Omega]fact}, ntones];
-ansatz=OvertoneModelV2[ntones,{\[Eta],\[Chi]1,\[Chi]2},tmax,"Fit\[Alpha]"->Range[1, ntones],"Fit\[Tau]"->Range[1, ntones],"ModesData"->Modedata]
-/.Table[alphas[[i]]->randomvar\[Alpha]s[[i]],{i,ntones}]/.Table[betas[[j]]->randomvar\[Beta]s[[j]],{j,ntones}];
-cfit=NonlinearModelFit[data,ansatz,spectrum,t];
-cfitd=Transpose[{data[[All,1]],Normal[cfit]/.t->data[[All,1]]}];
-alphasandmis = Join[alphas/.Table[alphas[[i]]->randomvar\[Alpha]s[[i]],{i,ntones}], {1-EasyMatchT[data,cfitd,t0,t0+90]}]; 
-(* This extra step is to make sure everything's correct, and also to make the output a uniform shape *)
-betasandtfit = Join[betas/.Table[betas[[j]]->randomvar\[Beta]s[[j]],{j,ntones}], {tshift}];
-complexamps = spectrum/.cfit["BestFitParameters"];
-amplitudes = Re[Sqrt[complexamps * Conjugate[complexamps]]];
-phases = Mod[Arg[complexamps], 2 Pi];
-{alphasandmis, betasandtfit, amplitudes, phases}, {j,npoints}];
-
-
 Export[rootpath<>"plots/n="<>ToString[ntones]<>"_params.fits", params]
 Export[rootpath<>"plots/n="<>ToString[ntones]<>"_t0="<>ToString[tshift]<>"M_data.fits", tabvars]
-Export[rootpath<>"plots/n="<>ToString[ntones]<>"_t0="<>ToString[tshift]<>"M_data@tmax.fits", tabvars1]
 
 
 

code/RDownScriptalphabeta@tmax.m

+(* ::Package:: *)
+
+(************************************************************************)
+(* This file was generated automatically by the Mathematica front end.  *)
+(* It contains Initialization cells from a Notebook file, which         *)
+(* typically will have the same name as this file except ending in      *)
+(* ".nb" instead of ".m".                                               *)
+(*                                                                      *)
+(* This file is intended to be loaded into the Mathematica kernel using *)
+(* the package loading commands Get or Needs.  Doing so is equivalent   *)
+(* to using the Evaluate Initialization Cells menu command in the front *)
+(* end.                                                                 *)
+(*                                                                      *)
+(* DO NOT EDIT THIS FILE.  This entire file is regenerated              *)
+(* automatically each time the parent Notebook file is saved in the     *)
+(* Mathematica front end.  Any changes you make to this file will be    *)
+(* overwritten.                                                         *)
+(************************************************************************)
+
+
+
+rootpath="~/git/rdstackingproject/";
+
+
+SetDirectory[rootpath<>"code"];
+<<RDown.m
+<<mcmc.m
+
+
+SetOptions[InputNotebook[], AutoGeneratedPackage -> Automatic]
+
+
+mysxscase=rootpath<>"/SXS/BBH_SKS_d14.3_q1.22_sA_0_0_0.330_sB_0_0_-0.440";
+ntones=2;
+tshift=12;
+npoints=3000;
+(*n=1:19, n=2:12, n=3:8, n=4:5, n=5:3, n=6:1, n=7:0 (not sure; is that really a minimum???) *)
+allspectrum = {x0,x1,x2,x3,x4,x5,x6,x7};
+allalphas = {\[Alpha]1,\[Alpha]2,\[Alpha]3,\[Alpha]4,\[Alpha]5,\[Alpha]6,\[Alpha]7};
+allbetas = {\[Beta]1,\[Beta]2,\[Beta]3,\[Beta]4,\[Beta]5,\[Beta]6,\[Beta]7};
+spectrum = allspectrum[[;;ntones+1]]
+alphas = allalphas[[;;ntones]]
+betas = allbetas[[;;ntones]]
+\[Omega]fact=0.1;
+\[Tau]fact=0.1;
+params = {tshift, ntones, \[Omega]fact, \[Tau]fact}
+
+
+(* Change them accordingly *)
+(*Notebook directory*)
+notdir=rootpath<>"code/";
+(*Directory of the l's Ringdown data *)
+modedir=rootpath;
+(* True if you want to export the plots *)
+ExportQ=False
+ExportDir=notdir
+
+
+(* PlotStyle *)
+markers={"\[FilledCircle]","\[FilledSquare]","\[FilledDiamond]","\[FilledUpTriangle]","\[FilledDownTriangle]","\[EmptyCircle]","\[EmptySquare]","\[EmptyDiamond]","\[EmptyUpTriangle]","\[EmptyDownTriangle]"}
+colors=ColorData[97,"ColorList"]
+l1=.025;
+l2=.001;
+s=l1/2;
+
+
+Options[pdf]={"SNR"->1};
+pdf[ansatz_,data_,tend_?NumericQ,x_?(VectorQ[#,NumericQ]&),OptionsPattern[]]:=Block[{ansl,cfit,cfitd,h1red,h2red,norm1,norm2,myTable,snr,tmax},
+
+snr=OptionValue["SNR"];
+
+tmax=data[[1,1]];
+ansl=ansatz;
+cfitd=Transpose[{data[[All,1]],ansl/.t->data[[All,1]]}];
+
+h1red=Select[data,tmax<=#[[1]]<=tmax+tend&][[All,2]];
+h2red=Select[cfitd,tmax<=#[[1]]<=tmax+tend&][[All,2]];
+norm1=Total[(Abs@h1red)^2 ];
+norm2=Total[(Abs@h2red)^2 ];
+
+myTable=h1red Conjugate@h2red;
+-snr^2(1-(Re@Total[myTable]/Sqrt[norm1 norm2]))]
+
+
+Options[pdfFit]={"SNR"->1};
+pdfFit[ansatz_,data_,tend_?NumericQ,x_?(VectorQ[#,NumericQ]&),OptionsPattern[]]:=Block[{ansl,cfit,cfitd,h1red,h2red,norm1,norm2,myTable,snr,tmax},
+
+snr=OptionValue["SNR"];
+
+tmax=data[[1,1]];
+ansl=ansatz;
+cfitd=Transpose[{data[[All,1]],ansl/.t->data[[All,1]]}];
+h1red=Select[data,tmax<=#[[1]]<=tmax+tend&][[All,2]];
+h2red=Select[cfitd,tmax<=#[[1]]<=tmax+tend&][[All,2]];
+
+Total[(Re[h1red-h2red]^2+Im[h1red-h2red]^2)]
+]
+
+
+(* Import all the modes you want to use *)
+modelist={{2,2,0},{2,2,1},{2,2,2},{2,2,3},{2,2,4},{2,2,5},{2,2,6},{2,2,7}}
+
+
+(* Files for the modes. Note that in this file notation the fundamental tone corresponds to n=1. However, for the code notation we will always use n=0.  *)
+Modefiles=Table[modedir<>"l"<>ToString[modelist[[j,1]]]<>"/n"<>ToString[modelist[[j,3]]+1]<>"l"<>ToString[modelist[[j,1]]]<>"m"<>ToString[modelist[[j,2]]]<>".dat",{j,Length@modelist}]
+
+
+(* Import modes data *)
+Modedata=Import/@Modefiles;
+
+
+modes={{2,2}}
+
+
+mysxscaserh=Reverse[Select[FileNames["*Lev6/rh*",mysxscase,2],Not@StringMatchQ[#,"*raw*"]&]]
+mysxscasemetafile=FileNames["metadata.txt",mysxscase,2][[1]]
+metadata=SXSMetaFilesToRules[mysxscasemetafile];
+
+
+Print["mass1 = ",mass1=("initial-mass1"/.metadata)[[1]]]
+Print["mass2 = ",mass2=("initial-mass2"/.metadata)[[1]]]
+Print["\[Chi]1 = ",\[Chi]1=Chop[(("initial-dimensionless-spin1"/.metadata)[[-1]])]]
+Print["\[Chi]2 = ",\[Chi]2=Chop[(("initial-dimensionless-spin2"/.metadata)[[-1]])]]
+Print["m1/m2 = ",q=Max[{mass1/mass2,1}]]
+Print["m1\[CenterDot]m2 = ",\[Eta]=q/(1+q)^2*1.]
+Print["af = ",af=("remnant-dimensionless-spin"/.metadata)[[-1]]]
+Print["mf = ",mf=("remnant-mass"/.metadata)[[1]]]
+Print["Tag = ",tag=("alternative-names"/.metadata)[[2]]]
+
+
+sxsrhs=Flatten[Conjugate/@GetAsymptoticMultiMode[#,2,modes,"ReSample"->True]&/@mysxscaserh,1];
+
+
+complexfreq = Table[\[Omega]lmn[2,2,n,\[Eta],\[Chi]1,\[Chi]2,"ModesData"->Modedata[[n+1]]], {n, Range[0, ntones]}];
+\[Tau]s = TakeColumn[complexfreq, 2];
+\[Tau]scales = Exp[-tshift/\[Tau]s]
+
+
+tmax = TimeOfMaximum[sxsrhs[[1]]]
+t0 = tmax+tshift
+data = Select[sxsrhs[[1]],#[[1]]>= t0&];
+
+
+tabvars=Table[
+randomvar\[Alpha]s= RandomReal[{-\[Omega]fact, \[Omega]fact}, ntones];
+randomvar\[Beta]s = RandomReal[{-\[Omega]fact, \[Omega]fact}, ntones];
+ansatz=OvertoneModelV2[ntones,{\[Eta],\[Chi]1,\[Chi]2},tmax,"Fit\[Alpha]"->Range[1, ntones],"Fit\[Tau]"->Range[1, ntones],"ModesData"->Modedata]
+/.Table[alphas[[i]]->randomvar\[Alpha]s[[i]],{i,ntones}]/.Table[betas[[j]]->randomvar\[Beta]s[[j]],{j,ntones}];
+cfit=NonlinearModelFit[data,ansatz,spectrum,t];
+cfitd=Transpose[{data[[All,1]],Normal[cfit]/.t->data[[All,1]]}];
+alphasandmis = Join[alphas/.Table[alphas[[i]]->randomvar\[Alpha]s[[i]],{i,ntones}], {1-EasyMatchT[data,cfitd,t0,t0+90]}]; 
+(* This extra step is to make sure everything's correct, and also to make the output a uniform shape *)
+betasandtfit = Join[betas/.Table[betas[[j]]->randomvar\[Beta]s[[j]],{j,ntones}], {tshift}];
+complexamps = spectrum/.cfit["BestFitParameters"];
+amplitudes = Re[Sqrt[complexamps * Conjugate[complexamps]]];
+phases = Mod[Arg[complexamps], 2 Pi];
+{alphasandmis, betasandtfit, amplitudes, phases}, {j,npoints}];
+
+
+Export[rootpath<>"plots/n="<>ToString[ntones]<>"_params.fits", params]
+Export[rootpath<>"plots/n="<>ToString[ntones]<>"_t0="<>ToString[tshift]<>"M_data@tmax.fits", tabvars]
+Export[rootpath<>"plots/n="<>ToString[ntones]<>"_t0="<>ToString[tshift]<>"M_dampingscalefactor.fits", \[Tau]scales]
+
+
+