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42 lines
749 B
Lua
42 lines
749 B
Lua
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--[[
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Math utils.
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--]]
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function math.hypot(x, y)
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return math.sqrt(x * x + y * y)
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end
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function math.sign(x, tolerance)
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tolerance = tolerance or 0
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if x > tolerance then
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return 1
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elseif x < -tolerance then
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return -1
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end
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return 0
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end
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function math.factorial(x)
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assert(x % 1 == 0 and x >= 0, "factorial expects a non-negative integer")
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if x >= 171 then
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-- 171! is greater than the biggest double, no need to calculate
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return math.huge
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end
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local v = 1
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for k = 2, x do
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v = v * k
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end
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return v
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end
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function math.round(x)
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if x < 0 then
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local int = math.ceil(x)
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local frac = x - int
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return int - ((frac <= -0.5) and 1 or 0)
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end
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local int = math.floor(x)
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local frac = x - int
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return int + ((frac >= 0.5) and 1 or 0)
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end
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