Latexlabels and Legend Location in Stackedplot

I want my y-labels to be interpreted by latex and I want to make my Legend horizontal above the plot. Any Advice? (Matlabversion R2018b)

MWE:

%Settings
xlab = '$x$';
ylab = {'$h_0(x)$','$g(x)$'};
colors = {[0 0 0;0 0 0;0 0 0],[1 0 0]};
lt = {{'-',':','--'},{'-'}};
fn = 'times'; fs = 20;%font setting
lw = 3; %Linewidth setting
legendlabels= {{'1','2','3'},{''}};
%Create Date for first subplot
dat=createData();
%Create data for second plot
x=-25:0.2:25; x=x';
g = sin(2*pi*x/50);
dat=addvars(dat,g); %Add to data table
%Plot
s=plotStack(dat,lw,fs,fn,colors,lt,xlab,ylab,legendlabels);
%%
function dat=createData()
x=-25:0.2:25; x=x';
dat = table();
dat = addvars(dat,x);
datarow = zeros(length(x),3);
for i=1:3
    datarow(:,i) = cos(2*pi*i*x/50);
end
dat =addvars(dat, datarow,'NewVariableNames',{'data'});
end

function [s]=plotStack(dat,lw,fs,fn,colors,linetypes,xlabel,ylabels,legendlabels)
%plots a stackedplot from dat and sets Linewidth lw, Fontsize fs, Fontname
%fn, Markersize ms, Markercolor mc, colors and linetypes for all the lines.
%Returns the plot for further adaptions
s=stackedplot(dat,'XVariable','x','Linewidth',lw,'Fontname',fn,'Fontsize',fs);
%Labels
s.XLabel = xlabel;
s.DisplayLabels=ylabels;
%Change Individual Lines
lp = s.LineProperties;
for i=1:length(lp)
        lp(i).Color=colors{i};
        lp(i).LineStyle=linetypes{i};
end
%Change Axes Properties such as LegendProperties and y limits
ax = s.AxesProperties;  
for i=1:length(ax)
    ax(i).LegendLabels=legendlabels{i};
end
end

Answer 1

[Adam Danz]

> I want my y-labels to be interpreted by latex

See this answer.

> I want to make my Legend horizontal above the plot.

Well.... it's a little messy. You can access some of the legend properties from the output handle to stackedplot but not all of them. Here's an undocumented approach which will produce a warning. It gets the actual legend handes. You'll have to play around with the legend position (last line).

T = array2table(rand(40,4)); 
h = stackedplot(T,{{'Var1','Var2'},'Var3','Var4'});
set(h.AxesProperties(1), 'LegendVisible', 'on');
legs = getfield(struct(h),'LegendHandle');
legs(1).Orientation = 'Horizontal';
set(h.AxesProperties(1), 'LegendLocation', 'North'); % see note [1]
% legs(1).Location = 'northoutside'; % see note [2]
legs(1).Units = 'Normalize';
legs(1).Position = [.40, sum(h.Position([2,4])), .2, .05];

Note [1] : 'NorthOutside' is not an option with stackedplot

Note[2]: 'NorthOutside', just moved the legend to "north" in stackedplot