Graphing two plots on the same window seperately

Hi im having a bit of trouble graphing two seperate graphs in the same window. I get an error:

Error using  * 
Inner matrix dimensions must agree.

Error in subplot (line 307)
                elseif max(plotId) > nCols * nRows

Error in Secantmethod (line 35)
    subplot(x,f,1);

and i am not sure how to take this.

clear;clc;

hold on

grid on

num=input('Enter an integer between 2 and 15: ');

iter=0;

x=linspace(-10,10,500);

maxiter=1000;

if (num<2 || num>15 || rem(num,1)~=0)

      disp('Invalid input'); num=input('Enter an INTEGER between 2 and 15: ');

end

f=( ((sqrt(log(x.^(2) + 1)))/ (cosh(x)) - x + pi - (20/3)*exp(-abs(x/10))));

x0= input( 'Please enter a value for x0: ');

x1= input( 'Please enter a vlaue for x1: ');

f0=( ((sqrt(log(x0^(2) + 1)))/ (cosh(x0)) - x0 + pi - (20/3)*exp(-abs(x0/10))));

f1=( ((sqrt(log(x1^(2) + 1)))/ (cosh(x1)) - x1 + pi - (20/3)*exp(-abs(x1/10))));

while (iter<1000)

x2= x1-f1 * [(x0 -x1)/ (f0-f1)]; 

f2=( ((sqrt(log(x2^(2) + 1)))/ (cosh(x2)) - x2 + pi - (20/3)*exp(-abs(x2/10))));

diff= abs(x2-x1);

if (diff < 10^(-num))

      root=x2;

      disp(root);

      subplot(x,f,1);

      subplot(x2,diff,2);

else 
    x0=x1;
    x1=x2;
    f0=f1;
    f1=f2;
end
iter=iter+1;
end
if (iter==maxiter)
    disp('Convergence was not achieved');
end

i know my problem is in the if statement with subplots but i don't know what i need to do. i was thinking if i change diff to diff(iter) it would help but that gives me yet another error. I would really appreciate some input on how i could get these two things to graph. Thank you!

Answer 1

[Image Analyst]

Mark, OK try this:

clc;    % Clear the command window.
close all;  % Close all figures (except those of imtool.)
imtool close all;  % Close all imtool figures.
clear;  % Erase all existing variables.
workspace;  % Make sure the workspace panel is showing.
format longg;
format compact;
fontSize = 14;

num=input('Enter a power of 10 between 2 and 15: ');
iter=0;
x=linspace(-10,10,500);
maxiter=1000;
if (num<2 || num>15 || rem(num,1)~=0)
  disp('Invalid input');
  num=input('Enter an INTEGER power of 10 between 2 and 15: ');
end
f=( ((sqrt(log(x.^(2) + 1)))/ (cosh(x)) - x + pi - (20/3)*exp(-abs(x/10))));
x0= input( 'Please enter a value for x0: ');
x1= input( 'Please enter a vlaue for x1: ');
f0=( ((sqrt(log(x0^(2) + 1)))/ (cosh(x0)) - x0 + pi - (20/3)*exp(-abs(x0/10))));
f1=( ((sqrt(log(x1^(2) + 1)))/ (cosh(x1)) - x1 + pi - (20/3)*exp(-abs(x1/10))));
convergenceLimit = 10^(-num);
while (iter<1000)
  x2= x1-f1 * [(x0 -x1)/ (f0-f1)];
  f2=( ((sqrt(log(x2^(2) + 1)))/ (cosh(x2)) - x2 + pi - (20/3)*exp(-abs(x2/10))));
  iterationDifference = abs(x2-x1);
  fprintf('%d, difference = %f\n', iter, iterationDifference);
  if (iterationDifference < convergenceLimit)
    root=x2;
    disp(root);
    subplot(2,1,1);
    scatter(x,f);
    xlabel('x', 'Fontsize', fontSize);
    ylabel('f', 'Fontsize', fontSize);
    title('f vs. x', 'Fontsize', fontSize);
    grid on
    hold on
    subplot(2,1,2);
    scatter(x2,iterationDifference);
    xlabel('x2', 'Fontsize', fontSize);
    ylabel('iterationDifference', 'Fontsize', fontSize);
    title('Difference vs. x2', 'Fontsize', fontSize);
    grid on
    hold on  
    % Enlarge figure to full screen.
    set(gcf, 'units','normalized','outerposition',[0 0 1 1]);
    msgbox('Please see the plots.');
    break;
  else
    x0=x1;
    x1=x2;
    f0=f1;
    f1=f2;
  end
  message = sprintf('That was iteration %d, with a difference of %f\nDo you want to continue?',...
    iter, iterationDifference);
  button = questdlg(message, 'Continue?', 'Yes', 'No', 'Yes');
  drawnow;  % Refresh screen to get rid of dialog box remnants.
  if strcmpi(button, 'No')
    break;
  end
  iter=iter+1;
end
if (iter >= maxiter)
  disp('Convergence was not achieved');
end

[Mark Grano]

clear;clc;

grid on

num=input('Enter an integer between 2 and 15: ');

iter=0;

x=linspace(-10,10,500);

maxiter=1000;

if (num<2 num>15 rem(num,1)~=0)

    disp('Invalid input'); num=input('Enter an INTEGER between 2 and 15: ');

end

f=( ((sqrt(log(x.^(2) + 1)))/ (cosh(x)) - x + pi - (20/3)*exp(-abs(x/10))));

x0= input( 'Please enter a value for x0: ');

x1= input( 'Please enter a vlaue for x1: ');

f0=( ((sqrt(log(x0^(2) + 1)))/ (cosh(x0)) - x0 + pi - (20/3)*exp(-abs(x0/10))));

f1=( ((sqrt(log(x1^(2) + 1)))/ (cosh(x1)) - x1 + pi - (20/3)*exp(-abs(x1/10))));

h= 'y';

while (iter<1000 && h=='y' h=='Y')

x2= x1-f1 * [(x0 -x1)/ (f0-f1)];

f2=( ((sqrt(log(x2^(2) + 1)))/ (cosh(x2)) - x2 + pi - (20/3)*exp(-abs(x2/10))));

m= abs(x2-x1);

if (m < 10^(-num))

    root=x2;

    disp(root);subplot(2,1,1);

      scatter(x,f);

      title('Graph of F');

      text(root,0,'\leftarrow Root');

      xlabel('X-Axis');

      ylabel('Y-Axis');
      hold on

      grid on

      subplot(2,1,2);

      scatter(iter,m);

      title('Graph of the Difference of iterations');

      xlabel('Iterations');

      ylabel('Difference of Iterations');

      hold on

      grid on
h=input('Enter y to continue. All else quits. ');  

    return;
else 
    x0=x1;
    x1=x2;
    f0=f1;
    f1=f2;
end
iter=iter+1;

end if (iter==maxiter)

    disp('Convergence was not achieved');

end

ok this is the code i have, all i need is after the graphs are plotted, i want it to ask to continue, whether as a menu or just simply entering a string, y for yes, all other quits. and when you press why, they whole program resets and it asks you to reenter the variables. im sorry, im being so much trouble, this is just the second project where this is the only part i can't get to work

[Image Analyst]

Hmmm... looks like you totally ignored my code. Any reason why you don't like the nice dialog box to ask the user to continue or quit? Here is some primitive 1970's like code that you can use:

h=input('Enter y to continue. All else quits. ', 's');
if lower(h) ~= 'y'
  fprintf('Quitting...\n');
        break;
else
  fprintf('Continuing...\n');
end

[Mark Grano]

the diaglog box would be find, im not opposed to that, its just that when i presss continue i need it to completely re run the program, starting with asking for new inputs for num,x0, and x1. with the code i have now, when i enter 'y' it does not re run the program for some reason, it just stops it.

[Image Analyst]

If you want to go to the start of the while loop, then use "continue" instead of "break".

Answer 2

[Walter Roberson]

You are using subplot() incorrectly. subplot() should not be called with data values as its three arguments: it should be called with values that indicate the arrangement of plots to use and which particular plot in the grid you want to use. For example,

subplot(3,5,2)

would select the 2nd plot in a virtual 3 x 5 grid of plots.

Change your

      subplot(x,f,1);
      subplot(x2,diff,2);

to

      subplot(2,1,1);
      scatter(x,f);
      hold on
      subplot(2,1,2);
      scatter(x2,diff);
      hold on

Also, while you are editing your file, please rename your variable "diff" to something else that is not the name of a built-in MATLAB function; using a variable name which is a common function name almost always leads to problems. (The number of times here we've had people whose program broke because they used a variable named "sum"...)

[Mark Grano]

Thank you that worked perfectly. Now if you don't mind me asking im also stuggling with a continue option for the program. i added:

while (iter<1000 && h=='y' || h=='Y')

to the while statement, and put

 grid on
 h=input('Enter y to continue. All else quits: ', 's');

below the second subplot. it allows me to input for h but if i enter y it doesn't repeat the program. I know i must be putting in the wrong spot but i have struggled with these in the past and would like to know how to correctly use this function. Thank you!

[Walter Roberson]

Order of operations is left to right

while iter<1000 && (h=='y' || h=='Y')

Caution: using strcmp() is recommended for comparing strings.

[Mark Grano]

hmm i changed that but it still gives me the same result. and if i move the while statement to the very top, it just repeats on its own without asking for a coninue.

[Image Analyst]

How about this instead:

message = sprintf('Do you want to continue');
button = questdlg(message, 'Continue?', 'Yes', 'No', 'Yes');
drawnow;  % Refresh screen to get rid of dialog box remnants.
if strcmpi(button, 'No')
   break;
end

[Mark Grano]

hmm that still doesn not allow me to rerun the program, it just gives me the option and when i click yes, the program stops