Plot a curve on vertical axis

Hi all,

I am producin the following image (the red arrows and the red circles are added artificially using a picture software to let you better understand the question):

The plot above has been produceed with the following mwe code:

clear
percorso=1;
angle_in_degrees=75;
theta = deg2rad(angle_in_degrees);
l=2*pi;
if percorso ==1
    %da 0 a pi-epsilon
    if theta>=0 && theta<=deg2rad(45)
        s_bar = l/(2*abs(cos(theta)));
    elseif theta>deg2rad(45) && theta<=deg2rad(90)
        s_bar=l/(2*abs(sin(theta)));
    elseif theta>-deg2rad(90) && theta<=-deg2rad(45)
        s_bar=l/(2*abs(sin(theta)));
    elseif theta>=-deg2rad(45) && theta<=0
        s_bar = l/(2*abs(cos(theta)));
    elseif theta>=deg2rad(90) && theta<=deg2rad(135)
        s_bar=l/(2*abs(sin(theta)));
    elseif theta> deg2rad(135) && theta<=deg2rad(180)
        s_bar = l/(2*abs(cos(theta)));
    elseif theta>=-deg2rad(180) && theta<=-deg2rad(135)
        s_bar = l/(2*abs(cos(theta)));
    elseif theta>=-deg2rad(135) && theta<=-deg2rad(90)
        s_bar = l/(2*abs(sin(theta)));
    end
    
elseif percorso==0
    theta=0;
    s_bar = l/(2*abs(cos(theta)));
end

N=250; %frequenza di campionamento (ho 150 campioni)

Delta_s0 = s_bar/N;
Delta_s2 = Delta_s0;

epsilon=l/100;
Delta_s1 = epsilon*(pi/2)/N;

s0a =0;
s0b = s_bar-epsilon;
s1a=s0b+Delta_s1;
s1b= s0b+epsilon*(pi/2);
s2a=s1b+Delta_s2;
s2b=s1b+s_bar-epsilon;

s0=[s0a:Delta_s0:s0b];
s1=[s1a:Delta_s1:s1b];
s2=[s2a:Delta_s2:s2b];

%ascisse plot: k1_ad;

s_cat = [s0 s1 s2];
tratto = zeros(1,size(s_cat,2));
for k=1:size(s0,2)
    tratto(:,k)=1;
end

for k=size(s0,2)+1:size(s0,2)+size(s1,2)
    tratto(:,k)=2;
end

for k=size(s0,2)+size(s1,2)+1:size(s0,2)+size(s1,2)+size(s2,2)
    tratto(:,k)=3;
end

primo_tratto = find(tratto==1);
secondo_tratto = find(tratto==2);
terzo_tratto = find(tratto==3);

conto1 = 1;
conto2 =1;
%%% SBAGLIATO IL TRATTO??? (è rimasto 0 da qualche parte??)
for m=1:size(s_cat,2) %numero di elementi di s
    if m<=primo_tratto(size(primo_tratto,2)) %qui devo mettere m! (devo mettere un find fino a quando tratto è ==1)
        k1_ad(m)=s0(m);
        k2_ad(m)=0;
    elseif m>primo_tratto(size(primo_tratto,2)) && m<=secondo_tratto(size(secondo_tratto,2))
        k1_ad(m)=s0b+(epsilon)*cos(((s_cat(m)-s0b)/epsilon)-(pi/2));
        k2_ad(m)=epsilon+(epsilon)*sin(((s_cat(m)-s0b)/epsilon)-(pi/2));
        conto1=conto1+1;
    elseif m>secondo_tratto(size(secondo_tratto,2)) && m<=terzo_tratto(size(terzo_tratto,2))
        k1_ad(m)=k1_ad(secondo_tratto(size(secondo_tratto,2))); %perchè sono spostato di un tratto s_bar dall'asse y
        k2_ad(m)=s2(conto2)-s1b+epsilon;
        conto2=conto2+1;
        
    end
end

What I would like to do is written on the image and is basically reproducing the "smoothed angle" on the top right corner also on the top so that the image looks like this (red curved line with, however radius epsilon as in the mwe. It shoul basically be exactly the same angle as the smoothed below but "reversed"):

[darova]

Is this the result you want to achieve?

[federico nutarelli]

@darova thank you for replying. Yes but the angle above, differently from the one below is 45 degrees. Also the angle in the top left should be smoothed. Basically, I am striving at finding the correct angle for the polar coordinates. Thank you very much

Answer 1

[darova]

What about this

a = 30;                             % left corner angle
L = 10;                             % triangle size
r = 1;                              % arc radius
t1 = 0:90+a;                        % top corner arc
t2 = 90+a:270;                      % left corner arc
t3 = 270:360;                       % bottom right corner arc
[x1,y1] = pol2cart(deg2rad(t1),r);
[x2,y2] = pol2cart(deg2rad(t2),r);
[x3,y3] = pol2cart(deg2rad(t3),r);
y1 = y1 + L*sind(a);                % translate first arc to top
x2 = x2 - L*cosd(a);                % translate second arc to right
x = [x1 x2 x3 x1(1)];
y = [y1 y2 y3 y1(1)];
plot(x,y,'.-r')
axis equal

[federico nutarelli]

thank you @darova. COuld you please try out with my code? Since I am working in a team I should align with the notation used. Thank you very much