I want to generate a fixed percent of random points on a straight line joining two points.

I want to generate 5 percent of the randomly generated numbers in a fixed straight line equation. For example, i have two points (x1, y1) and (x2, y2), and now i have drawn a straight line between the two points, with the help of straight line equation. Now i want 100 random numbers to be generated out of which 5 percent of those random numbers should fall in the straight line that is joined between the two points.

[José-Luis]

Generate 5 points on the line and the rest outside? What would the bounds be for the random points?

[SUSHMA MB]

yes, generate 5 points on the line and rest outside. How can it be done?

[José-Luis]

What have you tried so far? Look at rand().

Outside is a very vague term. The metro station is just outside my office. Betelgeuse is outside my office. Gn-Z11 is outside my office.

[SUSHMA MB]

let the boundary be a square of sides 10m side length.

[SUSHMA MB]

Let the

         XY_BOUNDARY = [0,70,0,50};
         position = [XY_BOUNDARY(2) - XY_BOUNDARY(1); XY_BOUNDARY(4) - XY_BOUNDARY(3)] .* rand(2,1) ...
               + [XY_BOUNDARY(1);XY_BOUNDARY(3)];

In the above code i get a random number within the specified boundary. Now i want the random point position in a specified boundary as well as on the line connecting two points (x1,y1), and (x2,y2)...Please tell me how to do this

Answer 1

[Torsten]

Instead of generating 100 random numbers, use "rand" to generate 5 random numbers on [0:1] and set the points to

lambda=rand(5,1);
x=x1+lambda*(x2-x1); 
y=y1+lambda*(y2-y1);

Best wishes

Torsten.

[SUSHMA MB]

So are these random points are on the straight line. I mean if

x1= 1; x2 = 2; y1 = 3; y2 = 5; Will the random points will be formed on the straight line joining these points ?

Thank you

[Torsten]

Yes.

The tuples [x(1) y(1)],[x(2),y(2)],...,[x(5),y(5)] will be random points uniformly distributed on the line joining [x1 y1] and [x2 y2].

Best wishes

Torsten.

[SUSHMA MB]

Thank you

[SUSHMA MB]

But can you plz tell me that, if 100 points are their, then how can i make atleast 5 points to appear it on a line

[SUSHMA MB]

Let the

         XY_BOUNDARY = [0,70,0,50};
         position = [XY_BOUNDARY(2) - XY_BOUNDARY(1); XY_BOUNDARY(4) - XY_BOUNDARY(3)] .* rand(2,1) ...
               + [XY_BOUNDARY(1);XY_BOUNDARY(3)];

In the above code i get a random number within the specified boundary. Now i want the random point position in a specified boundary as well as on the line connecting two points (x1,y1), and (x2,y2)...Please tell me how to do this