Advanced drawing with Octave

wodsuz(52)

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Greetings, in this tutorial we will move on drawing advanced schemes, plots on Octave. To do that we must first remember our previous lectures and know the usage of some important functions. To have an intuitionyou may check the previous lectures about Octave.
Below are the some important functions that we are going to use in our drawings,

plot: In two dimension plot(X,Y) returns the points of Y versus the representing X values.
hold: Command to add multiple plots in one figure
figure: Generates a new figure window where the user may add plots below later.
contour: contour(Z) draws

Our first task is to draw a house like shape in Octave. To do that first we defined a set of points (matrix) which will our lines pass and intersect.

X = [-6 -6 -7 0 7 6 6 -3 -3 0 0 ; -7 2 1 8 1 2 -7 -7 -2 -2 -7 ];

This will generate a X matrix having 2 rows and 11 columns. Then we defined a new figure with the command

figure

Later a for loop was written to connect sets in X matrix and form a shape as follows,

plot( X( 1, (i:i+1) ) , X( 2, (i:i+1)) );
hold on;
end

After writing the code our graph will look like this,

X = [-6 -6 -7 0 7 6 6 -3 -3 0 0 ; -7 2 1 8 1 2 -7 -7 -2 -2 -7 ];

figure;
for i=1:size(X,2)-1
plot( X( 1, (i:i+1) ) , X( 2, (i:i+1)) );
hold on;
end

As you can see we only need to connect right bottom place of the shape to gather a house. To do that below code was written

plot( X( 1, [11 1] ) , X( 2, [11 1] ) );

And in overall code and our house will look like this,

X = [-6 -6 -7 0 7 6 6 -3 -3 0 0 ; -7 2 1 8 1 2 -7 -7 -2 -2 -7 ];
figure;
for i=1:size(X,2)-1
plot( X( 1, (i:i+1) ) , X( 2, (i:i+1)) );
hold on;
end
plot( X( 1, [11 1] ) , X( 2, [11 1] ) );

Moreover, after doing this we may now form another shape by writing simple for loop,
first define the top point,

x0=8;
y0=14;

Then limit the plot in positive x,y axes and limit them upto 16 as follows,
xlim([0 16]);
ylim([0 16]);
And form the top of the tree with the below for loop,

%top of the tree
for i=1:7
for j=0:i-1
text(x0-j,y0-i,int2str(j+1)) ;
text(x0+j,y0-i,int2str(j+1)) ;
end
end

Then the bottom two lines of the tree,

%bottom of the tree
for i=8:9
text(x0,y0-i,int2str(1)) ;
end

And little text,

text(x0-2,y0-11,'Happy New Year') ;

The overall code and shape will look like this,

figure;
x0=8;
y0=14;
xlim([0 16]);
ylim([0 16]);
%top of the tree
for i=1:7
for j=0:i-1
text(x0-j,y0-i,int2str(j+1)) ;
text(x0+j,y0-i,int2str(j+1)) ;
end
end
%bottom of the tree
for i=8:9
text(x0,y0-i,int2str(1)) ;
end
%text
text(x0-5,y0-11,'Happy New Year!','Color','green','FontSize',34)

For scalable version you may change the text into title and obtain the below scheme,
title('Happy New Year!','Color','green','FontSize',34)

And to use the subplot function we may do accomplish another task to see the behaviour of sin function and its powers, Below code will plot the square, third, fourth, fifth, sixth, seventh, eight, nineth, tenth, ninety ninth and hundredth powers of sin function

x=0:pi/100:4*pi;
y1=sin(x);
y2=sin(x).^2;
y3=sin(x).^3;
y4=sin(x).^4;
y5=sin(x).^5;
y6=sin(x).^6;
y7=sin(x).^7;
y8=sin(x).^8;
y9=sin(x).^9;
y10=sin(x).^10;
y99=sin(x).^99;
y100=sin(x).^100;
subplot(4,4,1); plot(y1); title('y1')
subplot(4,4,2); plot(y2); title('y2')
subplot(4,4,3); plot(y3); title('y3')
subplot(4,4,4); plot(y4); title('y4')
subplot(4,4,5); plot(y5); title('y5')
subplot(4,4,6); plot(y6); title('y6')
subplot(4,4,7); plot(y7); title('y7')
subplot(4,4,8); plot(y8); title('y8')
subplot(4,4,9); plot(y9); title('y9')
subplot(4,4,10); plot(y10); title('y10')
subplot(4,4,11); plot(y99); title('y99')
subplot(4,4,12); plot(y100); title('y100')