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NanoAnalyse_Cantilever_Stiffness.m
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NanoAnalyse_Cantilever_Stiffness.m
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%% NanoAnalyse_Cantilever_Stiffness
% By Robert J Scales
function [FileStuctures] = NanoAnalyse_Cantilever_Stiffness(debugON,PlotAesthetics,FormatAnswer,DfltImgFmtType)
%% Set-up and Loading
code_title = 'NanoAnalyse_Cantilever_Stiffness';
fprintf('%s: Started...\n\n',code_title);
cd_init = cd;
waitTime = 2; % The time spent on each figure.
% This sets the font size for all text in all of the figures!
set(0,'defaultAxesFontSize',20);
% This sets the marker size for all text in all of the figures!
set(0,'defaultLineMarkerSize',12);
testTF = false;
if testTF == true
clc;
WARN = warndlg(sprintf('Currently in testing mode for %s!!',code_title));
waitfor(WARN);
debugON = true;
PlotAesthetics = struct('capsize',0,'linewidth',1,'facealpha',0.25);
FormatAnswer = 'Line';
DfltImgFmtType = 'png'; % 'tiffn'
end
% This loads the ".mat" files produced by NanoDataCreater which the user
% wishes to plot on the same figure.
[FileStuctures,~,cd_load] = LoadingFilesFunc(debugON,'on');
%% Plotting
% Found a bug when trying to work on more than two files and automatically
% plot it by using this function just once. I think it's because of the
% set-up for the code before the file loop is the issue. Individually this
% has no problem, hence I will set it up in a loop for each file at the
% moment.
close all
figure('Name','Main','WindowState','Maximized');
Question = sprintf('Do you want to plot on the same figure?\n(WARNING choose only if x-y units for all data!)');
Question_title = 'Stacking Data';
StackOnSameFig = questdlg(Question,Question_title,'Yes','No','No');
NumOfFiles = length(FileStuctures);
ExportPreStruct = cell(1,NumOfFiles);
for i = 1:NumOfFiles
fprintf('\n\n%s: Working on file "%s"...\n%s\n',code_title,FileStuctures{i}.DataIDName,'----------------------------------');
curr_FileStuctures = FileStuctures{i};
curr_varNames = curr_FileStuctures.varNames;
curr_VarData = curr_FileStuctures.ValueData;
curr_DataIDName = curr_FileStuctures.DataIDName;
DispCol = listdlg('ListString',curr_varNames,'PromptString','Select the indent displacement:','SelectionMode','single');
LoadCol = listdlg('ListString',curr_varNames,'PromptString','Select the indent load:','SelectionMode','single');
fprintf('Calibrated importing data so the indent depth is col-%d, and indent load is col-%d...\n',DispCol,LoadCol);
if i>1 && strcmp(StackOnSameFig,'No')
figure('Name',curr_DataIDName,'WindowState','Maximized');
end
LoadDispPlot = plot(curr_VarData(:,DispCol),curr_VarData(:,LoadCol),'x','DisplayName',curr_DataIDName,'LineWidth',PlotAesthetics.linewidth);
legend('Location','NorthWest');
hold on
OutputStruct = GradientObtainer(curr_VarData(:,DispCol),curr_VarData(:,LoadCol),curr_DataIDName,false,[0.2,0.05]);
% [DataTypeList,PlotDataTypes,figHandles] = NanoPlotter_main(debugON,curr_FileStuctures,PlotAesthetics,FormatAnswer);
%
% if debugON == true
% disp('Post figure handles are:');
% disp(figHandles);
% end
LineColor = LoadDispPlot.Color;
FitWidth = PlotAesthetics.linewidth + 1;
PositiveSlopePlot = plot(OutputStruct.LinFit_Pos.fit,'-');
uistack(PositiveSlopePlot,'bottom');
PositiveSlopePlot.Color = LineColor;
PositiveSlopePlot.LineWidth = FitWidth;
Pos_GradAndError = sprintf('a = %.2e +- %.2e ',OutputStruct.LinFit_Pos.a,OutputStruct.LinFit_Pos.a_StdDev);
Pos_YIntAndError = sprintf('b = %.2e +- %.2e ',OutputStruct.LinFit_Pos.b,OutputStruct.LinFit_Pos.b_StdDev);
PositiveSlopePlot.DisplayName = sprintf('%s- +ve Slope\n%s\n%s',curr_DataIDName,Pos_GradAndError,Pos_YIntAndError);
clear Pos_GradAndError Pos_YIntAndError
NegativeSlopePlot = plot(OutputStruct.LinFit_Neg.fit,'--');
uistack(NegativeSlopePlot,'bottom');
NegativeSlopePlot.Color = LineColor;
NegativeSlopePlot.LineWidth = FitWidth;
Neg_GradAndError = sprintf('a = %.2e +- %.2e ',OutputStruct.LinFit_Neg.a,OutputStruct.LinFit_Neg.a_StdDev);
Neg_YIntAndError = sprintf('b = %.2e +- %.2e ',OutputStruct.LinFit_Neg.b,OutputStruct.LinFit_Neg.b_StdDev);
NegativeSlopePlot.DisplayName = sprintf('%s- +ve Slope\n%s\n%s',curr_DataIDName,Neg_GradAndError,Neg_YIntAndError);
clear Neg_GradAndError Neg_YIntAndError
xlabel(curr_varNames(DispCol));
ylabel(curr_varNames(LoadCol));
if strcmp(StackOnSameFig,'No')
title(sprintf('Stiffness Analysis for %s',curr_DataIDName));
else
title(sprintf('Stiffness Analysis'));
set(gcf,'name','StiffnessAnalysis')
end
legend('Location','NorthWest');
XUnit = split(curr_varNames(DispCol),' ');
XUnit = XUnit(2);
OutputStruct.XUnit = XUnit;
YUnit = split(curr_varNames(LoadCol),' ');
YUnit = YUnit(2);
OutputStruct.YUnit = YUnit;
OutputStruct.GradUnit = sprintf('%s/%s',YUnit,XUnit);
OutputStruct.Name = curr_DataIDName;
ExportPreStruct{i} = OutputStruct;
end
%% Saving Results
% Loading mode is true as we are not importing data.
LoadingMode = true;
cd(cd_init);
% Setting DataIDName to nan will then make NanoDataSave ask for
% DataIDName when it runs.
DataIDName = '';
% The output data is mainly useful for NanoDataCreater but not for this.
NanoPlotterFigureSaver(debugON,DfltImgFmtType,LoadingMode,cd_init,DataIDName,cd_load);
% GradUnitList = strings(1,NumOfFiles);
% for i = 1:NumOfFiles
% CurrentStuct = ExportPreStruct{i};
% GradUnitList(i) = CurrentStuct.GradUnit;
% end
% RowNameList = strings(1,NumOfFiles*4);
% for i = 1:NumOfFiles
% CurrentStuct = ExportPreStruct{i};
% FirstRowNum = (4*(i-1))+1;
% RowNameList(FirstRowNum) = sprintf('%s Stiffness (%s)',CurrentStuct.Name,CurrentStuct.GradUnit);
% RowNameList(FirstRowNum+1) = sprintf('%s Stiffness StdDev (%s)',CurrentStuct.Name,CurrentStuct.GradUnit);
% RowNameList(FirstRowNum+2) = sprintf('%s Y-Intercept (%s)',CurrentStuct.Name,CurrentStuct.YUnit);
% RowNameList(FirstRowNum+3) = sprintf('%s Y-Intercept StdDev (%s)',CurrentStuct.Name,CurrentStuct.YUnit);
% end
quest = sprintf('Export this data to an Excel spreadsheet?:');
[SavingLocYN,cd_save] = NanoSaveFolderPref(quest,cd_init,cd_load);
if ~strcmp(SavingLocYN,'do not save data')
IDName = string(inputdlg('Type in the name of this session:','Choosing IDName value'));
NameList = strings(1,NumOfFiles*2);
for i=1:NumOfFiles
Num = (2*i)-1;
CurrentStuct = ExportPreStruct{i};
NameList(Num) = sprintf('%s - Loading',CurrentStuct.Name);
NameList(Num+1) = sprintf('%s - UnLoading',CurrentStuct.Name);
end
RowNameList = {'Stiffness (mN/nm)','Stiffness StdDev (mN/nm)','y-intercept (mN)','y-intercept StdDev (mN)'};
varNames = horzcat("Fit Parameter",NameList);
varTypes = cell(1,(NumOfFiles*2)+1);
varTypes(1) = {'string'};
varTypes(2:end) = {'double'};
ExportTable = table('Size',[length(RowNameList),length(varNames)],'VariableTypes',varTypes,'VariableNames',varNames);
ExportTable(1,1) = table(RowNameList(1));
ExportTable(2,1) = table(RowNameList(2));
ExportTable(3,1) = table(RowNameList(3));
ExportTable(4,1) = table(RowNameList(4));
for i = 1:NumOfFiles
Num = (2*i);
CurrentStuct = ExportPreStruct{i};
ExportTable(1,Num) = table(CurrentStuct.LinFit_Pos.a);
ExportTable(2,Num) = table(CurrentStuct.LinFit_Pos.a_StdDev);
ExportTable(3,Num) = table(CurrentStuct.LinFit_Pos.b);
ExportTable(4,Num) = table(CurrentStuct.LinFit_Pos.b_StdDev);
ExportTable(1,Num+1) = table(CurrentStuct.LinFit_Neg.a);
ExportTable(2,Num+1) = table(CurrentStuct.LinFit_Neg.a_StdDev);
ExportTable(3,Num+1) = table(CurrentStuct.LinFit_Neg.b);
ExportTable(4,Num+1) = table(CurrentStuct.LinFit_Neg.b_StdDev);
end
cd(cd_save);
SaveTime = datestr(datetime('now'),'yyyy-mm-dd-HH-MM');
SpreadSheetSaveName = sprintf('%s_%s_Export_Cantilever_Stiffness.xlsx',IDName,SaveTime);
writetable(ExportTable,SpreadSheetSaveName,'Sheet','StiffnessData');
fprintf('Auto-exported "%s"!\n',IDName);
cd(cd_init)
else
fprintf('The data for session was not exported!\n');
end
fprintf('%s: Completed!\n\n',code_title);
end
%% Internal Function
function OutputStruct = GradientObtainer(Disp,Load,Name,DebugON,PrcntCutOff)
% PrcntCutOff has the first and second values in the array being the amount to reduce
% off the LHS and the RHS of the plot respectivelu. This is so you can
% remove like 20% of the LHS and 5% off the RHS.
LoadGrad1 = gradient(Load,Disp);
[LoadGrad1_max_disp,LoadGrad1_max_disp_index] = max(Disp);
CutOffBoundaries = [LoadGrad1_max_disp*(PrcntCutOff(1)),LoadGrad1_max_disp*(1-PrcntCutOff(2))];
[~,LoadGrad1_Cut_max_pos] = min(abs( Disp(1:LoadGrad1_max_disp_index) - CutOffBoundaries(2) ));
[~,LoadGrad1_Cut_min_pos] = min(abs( Disp(1:LoadGrad1_max_disp_index) - CutOffBoundaries(1) ));
hold on
UnloadingData = flipud([Disp(LoadGrad1_max_disp_index:end),Load(LoadGrad1_max_disp_index:end)]);
[~,LoadGrad1_Cut_max_neg] = min(abs( UnloadingData(:,1) - CutOffBoundaries(2) ));
[~,LoadGrad1_Cut_min_neg] = min(abs( UnloadingData(:,1) - CutOffBoundaries(1) ));
% plot(UnloadingData(:,1),UnloadingData(:,2),'m^');
Range_Pos = [LoadGrad1_Cut_min_pos,LoadGrad1_Cut_max_pos];
PosData = [Disp(Range_Pos(1):Range_Pos(2)),Load(Range_Pos(1):Range_Pos(2))];
Range_Neg = [LoadGrad1_Cut_min_neg,LoadGrad1_Cut_max_neg];
disp(Range_Neg);
NegData = [UnloadingData(Range_Neg(1):Range_Neg(2),1),UnloadingData(Range_Neg(1):Range_Neg(2),2)];
OutputStruct.LinFit_Pos = LinearFitting(PosData(:,1),PosData(:,2));
OutputStruct.LinFit_Neg = LinearFitting(NegData(:,1),NegData(:,2));
if DebugON == true
OutputStruct.UnloadingData = UnloadingData;
OutputStruct.PosData = PosData;
OutputStruct.NegData = NegData;
hold on
yyaxis right
plot(Disp,LoadGrad1,'DisplayName',sprintf('grad(%s)',Name));
ylabel('Gradient (mN/nm typically)');
ylim(ExpectedRange);
plot(PosData(:,1),PosData(:,2),'-gx');
plot(NegData(:,1),NegData(:,2),'-cx');
yyaxis left
xline(Disp(LoadGrad1_Cut_max_pos),'k','DisplayName','Loading-Max');
xline(Disp(LoadGrad1_Cut_min_pos),'--k','DisplayName','Loading-Min');
xline(UnloadingData(LoadGrad1_Cut_max_neg,1),'r','DisplayName','UnLoading-Max');
xline(UnloadingData(LoadGrad1_Cut_min_neg,1),'--r','DisplayName','UnLoading-Min');
end
end
function LinFit = LinearFitting(X,Y)
if length(X)>=2
fprintf('LinearFitting: Number of points being used = %d\n',length(X));
% Better alternative to get the fit but this produces actual error values in the fitting parameters unlike above
[LinFit.fit,LinFit.gof,LinFit.opt] = fit(X,Y,'poly1');
LinFit.coeff = coeffvalues(LinFit.fit);
LinFit.a = LinFit.coeff(1);
LinFit.b = LinFit.coeff(2);
if LinFit.opt.numobs>2 % This basically checks if more than two points are used in the linear fit
LinFit.confint = confint(LinFit.fit,0.6826); % 68.26% is equivalent to 2 standard deviations in total width, 95% is 4 standard deviations
LinFit.a_StdDev = (LinFit.confint(2,1) - LinFit.confint(1,1))/2; % Works out the standard deviation for the gradient
LinFit.b_StdDev = (LinFit.confint(2,2) - LinFit.confint(1,2))/2; % Works out the standard deviation for the y-intercept
else
LinFit.a_StdDev = 0; % If two or less points are used in the fit then the standard deviation must be zero
LinFit.b_StdDev = 0; % If two or less points are used in the fit then the standard deviation must be zero
end
LinFit.a_StdError = (LinFit.a_StdDev)/((LinFit.opt.numobs)^0.5); % Works out the standard error of the gradient
LinFit.b_StdError = (LinFit.b_StdDev)/((LinFit.opt.numobs)^0.5); % Works out the standard error of the gradient
else
warndlg('Less than two data points inputted!');
LinFit = nan;
end
end
%% Old Code
% disp([LoadGrad1_Cut_min_neg,LoadGrad1_Cut_max_neg]);
% NumOfUnLoadingPoints = length(Disp(LoadGrad1_max_disp_index:end));
% LoadGrad1_Cut_max_neg = LoadGrad1_max_disp_index + (NumOfUnLoadingPoints-LoadGrad1_Cut_max_neg);
% LoadGrad1_Cut_min_neg = LoadGrad1_max_disp_index + (NumOfUnLoadingPoints-LoadGrad1_Cut_min_neg);