--Library created by Mehman, anyone is free to use it and add functions, please do not modify existing ones to assure compatibility with mods using them. If you want to modify them please also modify their names.

--Maths

function Round(n) --Returns the closest integer to the input, e.g: Round(1.2) = 1  ,  Round(1.7) = 2;
   local m = math.floor(n);
   if n%1 >= 0.5 then
      return m+1;
   else
      return m;
   end
end
function AntiRound(n) --Does the opposite, e,g: AntiRound(1.2) = 2  ,  AntiRound(1.7) = 1;
   local m = math.floor(n);
   if n%1 <= 0.5 then
      return m+1;
   else
      return m;
   end
end
function RandFloat(a,b) --same as math.random but returns real values(non integers); e.g: RandFloat(0,1) = 0.26458   ,RandFloat(0,1) = 0.67854   , RandFloat(0,1) = 0.11257
   return math.random(100000*a,100000*b)/100000.0;
end

function ExtNum(n,n2) --Extracts the n2th digit from a number starting from the right, what comes after the . is ignored, e.g: ExtNum(12345,2) = 4;
   local nn = math.floor(n)%math.pow(10,n2);
   nn = nn/math.pow(10,n2-1);
   return math.floor(nn);
end
function IntNum(n,n2,v) --Changes the n2th digit from a number to v, e.g: IntNum(12345,2,3) = 12335; Used to store multiple one digit values in the Sharpness of an object.
   return n-ExtNum(n,n2)*math.pow(10,n2-1)+v*math.pow(10,n2-1);
end


--Angles, Vectors


function RandAngle() --Returns a random angle;
   return math.random(0,2000000*math.pi)/1000000.0;
end
function AngleToVec(a) --Turns an angle into a normalized vector, e.g: AngleToVec(math.pi) = Vector(0,1);
   return Vector(math.cos(a),math.sin(a));
end
function VecToAngle(a)
   return math.atan2(-a.Y,a.X);
end
function RandVector(a) --Returns a random vector with a magnitude of a; e.g: RandVector(1) = Vector(0.549152,0.835722);
   return AngleToVec(RandAngle())*a;
end
function RandVector2(a,b) --Returns a random vector with a magnitude between a and b; e.g: RandVector2(1,5) = Vector(-2.88641,1.55964);
   return AngleToVec(RandAngle())*RandFloat(a,b);
end