RDown.m

(* ::Package:: *)

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(* Probably not all the extra packages are really needed *)
BeginPackage["RDown`",{"HypothesisTesting`"}];


EasyMatchT::usage="EasyMatchT[h1_,h2_,tMin_,tMax_]. Time domain version of the match as in eq. (2) of 1903.08284. tMin and tMax are the time interval where to compute the match.";
PlanckTaper::usage="PlanckTaper[t,t1,t2] is the one-sided version of the tapering function described in CQG27:084020, arXiv:1003.2939 [gr-qc].";
TimeOfMaximum::usage="TimeOfMaximum[list_?ListQ] determines the time at which a time series reaches the absolute maximum of the modulus.";
GetAsymptoticMultiMode::usage="GetAsymptoticMode[h5file_,order_,modes_list,OptionsPattern[{\"Verbose\"\[Rule]False}]].";
EradUIB2017::usage="EradUIB2017[\[Eta]_,\[Chi]1_,\[Chi]2_] is fit for the energy radiated of the coalescence of 2 non-precessing quasicurcular BHs as in PRD:DY11536";
FinalSpinUIB2017::usage="FinalSpinUIB2017[\[Eta]_,\[Chi]1_,\[Chi]2_] is fit for the final spin of the coalescence of 2 non-precessing quasicurcular BHs as in PRD:DY11536";
IsFPNumberQ::usage="IsFPNumberQ[str_String] checks whether a string represents a real Number.";
ReadFloatingPointNumbers::usage="ReadFloatingPointNumbers[line_String, matchAnyFP_:True] converts string that contains a Fortran or C-style floating point number to a Mathematica Number.";
StringToNumber::usage="StringToNumber[x_] converts a String x to a number, allowing more general number formats than ToExpression.";
SXSMetaFilesToRules::usage="SXSMetaFilesToRules[filename_String] converts a SXS metadata.txt file to a list of rules.";
SXSParClassification::usage="SXSParClassification[sxsdir_,ClassStr_]. Given a list of SXS NR. data folders 'sxsdir', it returns all the cases that match a certain criterion 'ClassStr' (MassRatio range, Precessing or not, Initial Distance, Orbits Number)taking as reference the SXS metadata.txt files. If it is used iteratively, one could do different classifications ";
TakeColumn::usage="TakeColumn[list1_?ListQ,columns]. Given a list, take the columns specified by 'columns'. ";
ReSampleTD::usage="ReSampleTD[data_,sample_]. Resample your data with step-size 'sample'.";
AtomsList::usage="AtomsList[expr_]. Split your expression in elements";
InterpolationDomain::usage="InterpolationDomain[IntFunction]. Outputs the domain of your interpolated function IntFunction";
positionDuplicates::usage="positionDuplicates[list_]. Finds the duplicate elements in your list";
\[Omega]lmn::usage="\[Omega]lmn[l_,m_,n_,\[Eta]_,\[Chi]1_,\[Chi]2_,ModesData\[Rule]{}]. It computes the lmn frequency and damping time for a BBH with parameters {\[Eta],\[Chi]1,\[Chi]2}. ModesData can be feed with a datafile containing the modes data, which it speeds up the computation. ";
DetectConvergence::usage="DetectConvergence[dampsignal_,\[Tau]_,OptionsPattern[{Test\[Rule]FindMaximum}]]. Given a damped signal and a damping time, it estimaes a time t0 where the decay is order 1%";
OvertoneModel::usage="OvertoneModelV[overtones_,pars_,OptionsPattern[]]. It provides a RDown ansatz for the desired number 'overtones' with parameters {\[Eta],\[Chi]1,\[Chi]2}.";
OvertoneModelV2::usage="OvertoneModelV2[overtones_,pars_,ti_,OptionsPattern[]]. Upgraged version of OvertoneModelV2";
AICcRes::usage="AICRes[residuals_,coeff_]. It computes the AICc value from the residuals given the number of coefficients 'coeff' ";
BICRes::usage="BICRes[residuals_,coeff_]. It computes the BIC value from the residuals given the number of coefficients 'coeff' ";
PValueTest::usage="PValueTest[residuals_,coeff_]. It computes the P value from the residuals given the number of coefficients 'coeff' ";
CNMinimize::usage="CNMinimize[data_,ansatz_,coeffs_,{x_,xlist_},OptionsPattern[]]. Minimizator for complex data where coeffs are the free coefficients to adjust, x is coordinate variable and x_list its values";
Arg0DStructs::usage="Arg0DStructs[re_,im_] and Arg0DStructs[reim_] computes the phase angle of complex data. the two-argument version is significantly slower, the one-argument version is just a  backwards compatibility interface to UnwrappedPhase.";
Abs0DStructs::usage="Abs0DStructs[re_,im_] computes the absolute value of complex data.";
UnwrapPhaseVector::usage="UnwrapPhaseVector[x_?VectorQ] unwraps the phase of a real vector representing a phase angle.";
UnwrapPhaseMatrix::usage="UnwrapPhaseMatrix[x_?MatrixQ] unwraps the phase of a real time series where the values represent a phase angle.";
UnwrappedPhase::usage="UnwrapPhase[x_?VectorQ] computes the unwrapped phase of a complex vector representing time series values; UnwrapPhase[x_?MatrixQ] computes the unwrapped phase of a complex time series.";
CombineColumns::usage="CombineColumns[list1_,list2_] combines columns from two lists in into a single list, e.g. CombineColumns[{1,2,3},{4,5,6}] will yield {{1,4},{2,5},{3,6}}.";
fH::usage="fH[f,M]";
fNU::usage="fNU[f,M]";
HessianH::usage="HessianH[f_,t_List?VectorQ]. f is the function you want to compute the Hessian and t the list of parameters."
CovarianceMatrix::usage="CovarianceMatrix[res_,vars_,pars_]. It computes the convarianc:e matrix from the residuals and the list of parameters."
CorrelationMatrix::usage="CovarianceMatrix[res_,vars_,pars]. It computes the correlation matrix from the residuals and the list of parameters."
LogLikelihoodDist::usage="Likelihood[data_,ansatz_,vars_,x_]. It computes the likelihood."
ComputeFitBands::usage="ComputeFitBands[data_,ansatz_,vars_,pars_,ConfidenceLevel\[Rule]val]. It computes the fit ConfidentBands at the val confidence level."

tPhys::usage="tPhys[t,M]";
tNR::usage="tNR[t,M]";


Begin["`Private`"]