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https://github.com/PHIDIAS0303/ExpCluster.git
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65 lines
2.2 KiB
Lua
65 lines
2.2 KiB
Lua
--luacheck:ignore global math
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local floor = math.floor
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local abs = math.abs
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--- Constant value representing the square root of 2
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math.sqrt2 = math.sqrt(2)
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--- Constant value representing the reciprocal of square root of 2
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math.inv_sqrt2 = 1 / math.sqrt2
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--- Constant value representing the value of Tau aka 2*Pi
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math.tau = 2 * math.pi
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--- Rounds a number to certain number of decimal places, does not work on significant figures
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-- @tparam number num The number to be rounded
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-- @tparam[opt=0] number idp The number of decimal places to round to
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-- @treturn number The input number rounded to the given number of decimal places
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math.round = function(num, idp)
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local mult = 10 ^ (idp or 0)
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return floor(num * mult + 0.5) / mult
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end
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--- Clamp a number better a minimum and maximum value, preserves NaN (not the same as nil)
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-- @tparam number num The number to be clamped
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-- @tparam number min The lower bound of the accepted range
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-- @tparam number max The upper bound of the accepted range
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-- @treturn number The input number clamped to the given range
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math.clamp = function(num, min, max)
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if num < min then
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return min
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elseif num > max then
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return max
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else
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return num
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end
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end
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--- Returns the slope / gradient of a line given two points on the line
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-- @tparam number x1 The X coordinate of the first point on the line
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-- @tparam number y1 The Y coordinate of the first point on the line
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-- @tparam number x2 The X coordinate of the second point on the line
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-- @tparam number y2 The Y coordinate of the second point on the line
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-- @treturn number The slope of the line
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math.slope = function(x1, y1, x2, y2)
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return abs((y2 - y1) / (x2 - x1))
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end
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--- Returns the y-intercept of a line given ibe point on the line and its slope
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-- @tparam number x The X coordinate of point on the line
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-- @tparam number y The Y coordinate of point on the line
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-- @tparam number slope The slope / gradient of the line
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-- @treturn number The y-intercept of the line
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math.y_intercept = function(x, y, slope)
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return y - (slope * x)
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end
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local deg_to_rad = math.tau / 360
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--- Returns the angle x (given in radians) in degrees
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math.degrees = function(x)
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return x * deg_to_rad
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end
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return math
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