And this is the code I use:


    double x,y,z;

    do{
        x = 2.0 * rNG.randomNumberClosed() - 1.0;
        z = 2.0 * rNG.randomNumberClosed() - 1.0;
    }
    while(x*x + z*z > 1.0);

    y = sqrt(1.0 - (x*x + z*z));


There you have it: a random vector inside a hemishere.

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