90 lines
2.7 KiB
Lua
90 lines
2.7 KiB
Lua
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math = math == nil and {} or math;
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math.pi = math.pi == nil and 3.14159265358979 or math.pi;
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---clamp
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---@param v number @number
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---@param Min number @min
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---@param Max number @max
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---@return number @clamp v between Min and Max
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function math.clamp(v, Min, Max)
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local min = math.min(Min, Max)
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local max = math.max(Min, Max)
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if v < min then return min end
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if v > max then return max end
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return v
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end
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--- 随机bool变量
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function math.randBool() return math.pop() > 0.5; end
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---clamp
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---@param a number @First number to compare
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---@param b number @Second number to compare
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---@param Tolerance number @Maximum allowed difference for considering them as 'nearly equal'
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---@return boolean @true if a and b are nearly equal
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function math.isNearlyEqual(a, b, Tolerance)
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if Tolerance == nil then Tolerance = 0.01 end
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return math.abs(a - b) <= Tolerance;
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end
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--- 一个存放随机数的列表
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math.RandomList = {};
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function math.init(InCount)
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for i = 1, InCount do table.insert(math.RandomList, math.random()); end
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end
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function math.pop()
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local val = math.RandomList[1]
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if val == nil then
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math.init(100);
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return math.pop();
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end
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table.remove(math.RandomList, 1);
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return val;
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end
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--- 在给定圆内随机生成一个给定半径的圆，返回圆的中心点
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---@param Center FVector 给定圆
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---@param Radius float 给定圆的半径
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---@param MinRadius float 目标生成圆的半径圆的半径
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function math.randomCircleInCircle(Center, Radius, MinRadius)
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local TargetRadius = Radius - MinRadius;
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if TargetRadius <= 0 then return Center; end
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local ResCenter = math.randomPointInCircle(Center, TargetRadius);
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ResCenter.Z = Center.Z;
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return ResCenter;
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end
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---@param c FVector
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---@param R float
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---@param r float
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function math.randCircle(c, R, r)
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local x = math.pop() * 2 * (R - r) + (c.X - (R - r));
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local a = math.pop() * math.pi;
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local p = math.getCirclePoint(c, math.abs(x), {X = x, Y = c.Y, }, a);
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return { X = p.X, Y = p.Y, Z = c.Z, };
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end
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--- 获取圆上一点与圆心连接的线形成 θ 角度的另一个点（逆时针）
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---@param o FVector2D 圆点所在坐标
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---@param r float 圆的半径
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---@param p FVector2D 圆上的一点
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---@param t float 跟 @p 到 @o 形成夹角为 t 的线，弧度值
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function math.getCirclePoint(o, r, p, t)
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local angle = math.atan((p.Y - o.Y) / (p.X - o.X)) + t
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return { X = o.X + r * math.cos(angle), Y = o.Y + r * math.sin(angle), };
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end
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--- 在一个圆中随机生成一个点
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---@param o FVector2D
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---@param r float
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function math.randomPointInCircle(o, r)
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local angle = math.pop() * 2 * math.pi;
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local tr = r * math.sqrt(math.pop());
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local x = o.X + tr * math.cos(angle);
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local y = o.Y + tr * math.sin(angle);
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return { X = x, Y = y };
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end
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