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@ -12,16 +12,19 @@ local algo = {}
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--- Clamp x within range [a,b] (where b >= a).
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--
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-- @param x (number) value to clamp.
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-- @param a (number) interval lower bound (inclusive).
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-- @param b (number) interval upper bound (includive).
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-- @return (number) clamped value.
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-- @number x value to clamp.
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-- @number a interval lower bound (inclusive).
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-- @number b interval upper bound (includive).
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-- @treturn number clamped value.
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function algo.clamp(x, a, b) return min(max(x, a), b) end
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--- Fast remove from array.
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--
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-- Replace 'array[i]' with last array's element and
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-- discard array's tail.
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--
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-- @tparam table array
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-- @int i
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function algo.removefast(array, i)
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local n = #array
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@ -37,10 +40,11 @@ local function lt(a, b) return a < b end
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-- Performs better than regular table.sort() for small arrays
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-- (~100 elements).
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--
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-- @param array (table) array to be sorted.
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-- @param less (function|nil) comparison function, takes 2 arguments,
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-- returns true if its first argument is less than its second argument, false otherwise.
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-- Defaults to operator <.
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-- @tparam table array array to be sorted.
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-- @tparam[opt=operator <] function less comparison function, takes 2 arguments,
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-- returns true if its first argument is
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-- less than its second argument,
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-- false otherwise.
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function algo.insertionsort(array, less)
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less = less or lt
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@ -60,15 +64,16 @@ end
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--- Binary search last element where
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-- what <= array[i] - also known as lower bound.
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--
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-- @param array (table) an array sorted according to the less function.
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-- @tparam table array an array sorted according to the less function.
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-- @param what the comparison argument.
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-- @param less (function|nil) sorting criterium, a function taking 2 arguments,
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-- returns true if the first argument is less than the second argument,
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-- false otherwise. Defaults to using the < operator.
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-- @tparam[opt=operator <] function less sorting criterium, a function taking 2 arguments,
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-- returns true if the first argument
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-- is less than the second argument,
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-- false otherwise.
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--
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-- @return (number) the greatest index i, where what <= array[i].
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-- If no such element exists, it returns an out of bounds index
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-- such that array[i] == nil.
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-- @treturn int the greatest index i, where what <= array[i].
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-- If no such element exists, it returns an out of bounds index
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-- such that array[i] == nil.
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function algo.bsearchl(array, what, less)
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less = less or lt
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@ -94,15 +99,17 @@ end
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--- Binary search first element where
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-- what >= array[i] - also known as upper bound.
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--
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-- @param array (array) an array sorted according to the less function.
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-- @tparam table array an array sorted according to the less function.
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-- @param what the comparison argument.
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-- @param less (function|nil) sorting criterium, a function taking 2 arguments,
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-- returns true if the first argument is less than the second argument,
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-- false otherwise. Defaults to using the < operator.
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-- @tparam[opt=operator <] function less sorting criterium,
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-- a function taking 2 arguments,
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-- returns true if the first argument
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-- is less than the second argument,
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-- false otherwise.
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--
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-- @return (number) the smallest index i, where what >= array[i].
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-- If no such element exists, it returns an out of bounds index
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-- such that array[i] == nil.
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-- @treturn int the smallest index i, where what >= array[i].
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-- If no such element exists, it returns an out of bounds index
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-- such that array[i] == nil.
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function algo.bsearchr(array, what, less)
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less = less or lt
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