Generating random points uniformly in a circle without rejection is at least mildly more interesting, as you need to scale one factor by a square root:

    const r = sqrt(random()) * radius;
    const theta = random() * TAU;

▲ arijun a day ago | parent | next [-]

Wait, wouldn't this result in the opposite of what you want? You want to shift the distribution out, not crowd the center, so you probably want to square your random instead.

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Jtsummers a day ago | parent | next [-]

Squaring numbers in (0,1) makes them smaller, pulling the random radius closer to center. As an example consider 0.9. Squaring it gets 0.81 vs 0.949 taking the square root.

	▲	arijun a day ago \| parent [-]
		Oh yes all of you are right. In my defense, I am stupid.

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a day ago | parent | prev | next [-]

[deleted]

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hhmc a day ago | parent | prev | next [-]

Because the numbers are less than 1 sqrt pulls them towards 1 (the edge)

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hatthew a day ago | parent | prev [-]

assuming random() returns values 0<=r<=1, sqrt will shift the distribution outward

▲ hatthew a day ago | parent | prev [-]

Yeah that would be at least nontrivial, but has been written about so much that the bar for a worthwhile article seems pretty high.