2020-09-07 13:50:53 +02:00
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module arrays
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// Common arrays functions:
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// - min / max - return the value of the minumum / maximum
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// - idx_min / idx_max - return the index of the first minumum / maximum
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// - merge - combine two sorted arrays and maintain sorted order
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2021-09-13 15:13:32 +02:00
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// - chunk - chunk array to arrays with n elements
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// - window - get snapshots of the window of the given size sliding along array with the given step, where each snapshot is an array
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2022-01-09 15:12:33 +01:00
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// - group - merge two arrays by interleaving e.g. arrays.group([1,3,5], [2,4,6]) => [[1,2],[3,4],[5,6]]
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// - flatten - reduce dimensionality of array by one. e.g. arrays.flatten([[1,2],[3,4],[5,6]]) => [1,2,3,4,5,6]
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2020-09-07 13:50:53 +02:00
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2021-09-15 14:17:55 +02:00
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// min returns the minimum value in the array
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2022-01-07 12:28:50 +01:00
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// Example: arrays.min([1,2,3,0,9]) // => 0
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2021-09-15 14:17:55 +02:00
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pub fn min<T>(a []T) ?T {
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2020-10-14 23:39:09 +02:00
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if a.len == 0 {
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2021-09-15 14:17:55 +02:00
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return error('.min called on an empty array')
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2020-10-14 23:39:09 +02:00
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}
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2020-09-07 13:50:53 +02:00
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mut val := a[0]
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2021-02-20 14:27:36 +01:00
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for e in a {
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if e < val {
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val = e
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2020-09-07 13:50:53 +02:00
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}
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}
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return val
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}
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2021-09-15 14:17:55 +02:00
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// max returns the maximum the maximum value in the array
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2022-01-07 12:28:50 +01:00
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// Example: arrays.max([1,2,3,0,9]) // => 9
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2021-09-15 14:17:55 +02:00
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pub fn max<T>(a []T) ?T {
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2020-10-14 23:39:09 +02:00
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if a.len == 0 {
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2021-09-15 14:17:55 +02:00
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return error('.max called on an empty array')
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2020-10-14 23:39:09 +02:00
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}
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2020-09-07 13:50:53 +02:00
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mut val := a[0]
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2021-02-20 14:27:36 +01:00
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for e in a {
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if e > val {
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val = e
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2020-09-07 13:50:53 +02:00
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}
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}
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return val
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}
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2021-09-15 14:17:55 +02:00
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// idx_min returns the index of the minimum value in the array
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2022-01-07 12:28:50 +01:00
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// Example: arrays.idx_min([1,2,3,0,9]) // => 3
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2021-09-15 14:17:55 +02:00
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pub fn idx_min<T>(a []T) ?int {
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2020-10-14 23:39:09 +02:00
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if a.len == 0 {
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2021-09-15 14:17:55 +02:00
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return error('.idx_min called on an empty array')
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2020-10-14 23:39:09 +02:00
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}
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2020-09-07 13:50:53 +02:00
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mut idx := 0
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mut val := a[0]
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2021-02-20 14:27:36 +01:00
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for i, e in a {
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if e < val {
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val = e
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2020-09-07 13:50:53 +02:00
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idx = i
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}
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}
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return idx
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}
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2021-09-15 14:17:55 +02:00
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// idx_max returns the index of the maximum value in the array
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2022-01-07 12:28:50 +01:00
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// Example: arrays.idx_max([1,2,3,0,9]) // => 4
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2021-09-15 14:17:55 +02:00
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pub fn idx_max<T>(a []T) ?int {
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2020-10-14 23:39:09 +02:00
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if a.len == 0 {
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2021-09-15 14:17:55 +02:00
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return error('.idx_max called on an empty array')
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2020-10-14 23:39:09 +02:00
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}
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2020-09-07 13:50:53 +02:00
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mut idx := 0
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mut val := a[0]
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2021-02-20 14:27:36 +01:00
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for i, e in a {
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if e > val {
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val = e
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2020-09-07 13:50:53 +02:00
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idx = i
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}
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}
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return idx
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}
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// merge two sorted arrays (ascending) and maintain sorted order
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2022-01-07 12:28:50 +01:00
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// Example: arrays.merge([1,3,5,7], [2,4,6,8]) // => [1,2,3,4,5,6,7,8]
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2020-09-07 13:50:53 +02:00
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[direct_array_access]
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2020-10-21 11:23:03 +02:00
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pub fn merge<T>(a []T, b []T) []T {
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2020-10-14 23:39:09 +02:00
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mut m := []T{len: a.len + b.len}
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2020-09-07 13:50:53 +02:00
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mut ia := 0
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mut ib := 0
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mut j := 0
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// TODO efficient approach to merge_desc where: a[ia] >= b[ib]
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2020-10-14 23:39:09 +02:00
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for ia < a.len && ib < b.len {
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2020-09-07 13:50:53 +02:00
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if a[ia] <= b[ib] {
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m[j] = a[ia]
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ia++
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} else {
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m[j] = b[ib]
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ib++
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}
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j++
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}
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// a leftovers
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for ia < a.len {
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m[j] = a[ia]
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ia++
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j++
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}
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// b leftovers
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for ib < b.len {
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m[j] = b[ib]
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ib++
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j++
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}
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return m
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}
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2021-02-05 19:24:38 +01:00
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2021-03-07 10:58:13 +01:00
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// group n arrays into a single array of arrays with n elements
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2022-01-09 15:12:33 +01:00
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//
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// This function is analogous to the "zip" function of other languages.
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// To fully interleave two arrays, follow this function with a call to `flatten`.
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//
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// NOTE: An error will be generated if the type annotation is omitted.
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2022-01-07 12:28:50 +01:00
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// Example: arrays.group<int>([1,2,3],[4,5,6]) // => [[1, 4], [2, 5], [3, 6]]
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2021-03-07 10:58:13 +01:00
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pub fn group<T>(lists ...[]T) [][]T {
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mut length := if lists.len > 0 { lists[0].len } else { 0 }
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// calculate length of output by finding shortest input array
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for ndx in 1 .. lists.len {
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if lists[ndx].len < length {
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length = lists[ndx].len
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}
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}
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if length > 0 {
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mut arr := [][]T{cap: length}
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// append all combined arrays into the resultant array
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for ndx in 0 .. length {
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2022-01-09 15:12:33 +01:00
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mut grouped := []T{cap: lists.len}
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2021-03-07 10:58:13 +01:00
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// combine each list item for the ndx position into one array
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for list_ndx in 0 .. lists.len {
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2022-01-09 15:12:33 +01:00
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grouped << lists[list_ndx][ndx]
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2021-03-07 10:58:13 +01:00
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}
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2022-01-09 15:12:33 +01:00
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arr << grouped
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2021-03-07 10:58:13 +01:00
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}
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return arr
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}
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return [][]T{}
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}
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2021-09-13 15:13:32 +02:00
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2022-01-07 12:28:50 +01:00
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// chunk array into a single array of arrays where each element is the next `size` elements of the original
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// Example: arrays.chunk([1, 2, 3, 4, 5, 6, 7, 8, 9], 2)) // => [[1, 2], [3, 4], [5, 6], [7, 8], [9]]
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2021-09-13 15:13:32 +02:00
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pub fn chunk<T>(list []T, size int) [][]T {
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// allocate chunk array
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mut chunks := [][]T{cap: list.len / size + if list.len % size == 0 { 0 } else { 1 }}
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for i := 0; true; {
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// check chunk size is greater than remaining element size
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if list.len < i + size {
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// check if there's no more element to chunk
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if list.len <= i {
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break
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}
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chunks << list[i..]
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break
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}
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chunks << list[i..i + size]
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i += size
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}
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return chunks
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}
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pub struct WindowAttribute {
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size int
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step int = 1
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}
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// get snapshots of the window of the given size sliding along array with the given step, where each snapshot is an array.
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// - `size` - snapshot size
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// - `step` - gap size between each snapshot, default is 1.
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2021-09-14 15:49:23 +02:00
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//
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2022-01-07 12:28:50 +01:00
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// Example: arrays.window([1, 2, 3, 4], size: 2) => [[1, 2], [2, 3], [3, 4]]
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// Example: arrays.window([1, 2, 3, 4, 5, 6, 7, 8, 9, 10], size: 3, step: 2) // => [[1, 2, 3], [3, 4, 5], [5, 6, 7], [7, 8, 9]]
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2021-09-13 15:13:32 +02:00
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pub fn window<T>(list []T, attr WindowAttribute) [][]T {
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// allocate snapshot array
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mut windows := [][]T{cap: list.len - attr.size + 1}
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for i := 0; true; {
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// check remaining elements size is less than snapshot size
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if list.len < i + attr.size {
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break
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}
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windows << list[i..i + attr.size]
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i += attr.step
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}
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return windows
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}
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2021-09-14 15:49:23 +02:00
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// sum up array, return nothing when array has no elements
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2022-01-07 12:28:50 +01:00
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//
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// NOTICE: currently V has bug that cannot make sum function takes custom struct with + operator overloaded
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2021-09-14 15:49:23 +02:00
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// which means you can only pass array of numbers for now.
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2022-01-07 12:28:50 +01:00
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// TODO: Fix generic operator overloading detection issue.
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// Example: arrays.sum<int>([1, 2, 3, 4, 5])? // => 15
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2021-09-14 15:49:23 +02:00
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pub fn sum<T>(list []T) ?T {
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if list.len == 0 {
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return error('Cannot sum up array of nothing.')
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} else {
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mut head := list[0]
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for i, e in list {
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if i == 0 {
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continue
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} else {
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head += e
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}
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}
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return head
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}
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}
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// accumulates values with the first element and applying providing operation to current accumulator value and each elements.
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2022-01-07 12:28:50 +01:00
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// If the array is empty, then returns error.
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// Example: arrays.reduce([1, 2, 3, 4, 5], fn (t1 int, t2 int) int { return t1 * t2 })? // => 120
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2021-09-14 15:49:23 +02:00
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pub fn reduce<T>(list []T, reduce_op fn (t1 T, t2 T) T) ?T {
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if list.len == 0 {
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return error('Cannot reduce array of nothing.')
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} else {
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mut value := list[0]
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for i, e in list {
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if i == 0 {
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continue
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} else {
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value = reduce_op(value, e)
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}
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}
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return value
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}
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}
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// accumulates values with providing initial value and applying providing operation to current accumulator value and each elements.
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2022-01-07 12:28:50 +01:00
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// Example: arrays.fold<string, byte>(['H', 'e', 'l', 'l', 'o'], 0, fn (r int, t string) int { return r + t[0] }) // => 149
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2021-09-14 15:49:23 +02:00
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pub fn fold<T, R>(list []T, init R, fold_op fn (r R, t T) R) R {
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mut value := init
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for e in list {
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value = fold_op(value, e)
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}
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return value
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}
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// flattens n + 1 dimensional array into n dimensional array
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2022-01-07 12:28:50 +01:00
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// Example: arrays.flatten<int>([[1, 2, 3], [4, 5]]) // => [1, 2, 3, 4, 5]
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2021-09-14 15:49:23 +02:00
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pub fn flatten<T>(list [][]T) []T {
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// calculate required capacity
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mut required_size := 0
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for e1 in list {
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for _ in e1 {
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required_size += 1
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}
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}
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// allocate flattened array
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mut result := []T{cap: required_size}
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for e1 in list {
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for e2 in e1 {
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result << e2
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}
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}
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return result
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}
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// grouping list of elements with given key selector.
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2022-01-07 12:28:50 +01:00
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// Example: arrays.group_by<int, string>(['H', 'el', 'lo'], fn (v string) int { return v.len }) // => {1: ['H'], 2: ['el', 'lo']}
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2021-09-14 15:49:23 +02:00
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pub fn group_by<K, V>(list []V, grouping_op fn (v V) K) map[K][]V {
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mut result := map[K][]V{}
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for v in list {
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key := grouping_op(v)
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// check if key exists, if not, then create a new array with matched value, otherwise append.
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if key in result {
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result[key] << v
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} else {
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result[key] = [v]
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}
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}
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return result
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}
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2021-09-26 18:41:50 +02:00
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2022-01-07 12:28:50 +01:00
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// concatenate an array with an arbitrary number of additional values
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//
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// NOTE: if you have two arrays, you should simply use the `<<` operator directly
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// Example: arrays.concat([1, 2, 3], 4, 5, 6) == [1, 2, 3, 4, 5, 6] // => true
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// Example: arrays.concat([1, 2, 3], ...[4, 5, 6]) == [1, 2, 3, 4, 5, 6] // => true
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// Example: arr << [4, 5, 6] // does what you need if arr is mutable
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[deprecated]
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2021-09-26 18:41:50 +02:00
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pub fn concat<T>(a []T, b ...T) []T {
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mut m := []T{cap: a.len + b.len}
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m << a
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m << b
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return m
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}
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2021-10-03 07:14:39 +02:00
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// returns the smallest element >= val, requires `arr` to be sorted
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2022-01-07 12:28:50 +01:00
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// Example: arrays.lower_bound([2, 4, 6, 8], 3)? // => 4
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2021-10-03 07:14:39 +02:00
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pub fn lower_bound<T>(arr []T, val T) ?T {
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if arr.len == 0 {
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return error('.lower_bound called on an empty array')
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}
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mut left, mut right := 0, arr.len - 1
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for ; left <= right; {
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idx := (left + right) / 2
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elem := arr[idx]
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if elem < val {
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left = idx + 1
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} else {
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right = idx - 1
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}
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}
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if left >= arr.len {
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return error('')
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} else {
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return arr[left]
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}
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}
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// returns the largest element <= val, requires `arr` to be sorted
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2022-01-07 12:28:50 +01:00
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// Example: arrays.upper_bound([2, 4, 6, 8], 3)? // => 2
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2021-10-03 07:14:39 +02:00
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pub fn upper_bound<T>(arr []T, val T) ?T {
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if arr.len == 0 {
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|
return error('.upper_bound called on an empty array')
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}
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mut left, mut right := 0, arr.len - 1
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for ; left <= right; {
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idx := (left + right) / 2
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elem := arr[idx]
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if elem > val {
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right = idx - 1
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} else {
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left = idx + 1
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}
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}
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if right < 0 {
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return error('')
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} else {
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return arr[right]
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}
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}
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|
2022-01-07 12:28:50 +01:00
|
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|
// binary search, requires `arr` to be sorted, returns index of found item or error.
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|
// Binary searches on sorted lists can be faster than other array searches because at maximum
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// the algorithm only has to traverse log N elements
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// Example: arrays.binary_search([1, 2, 3, 4], 4) ? // => 3
|
2021-10-03 07:14:39 +02:00
|
|
|
pub fn binary_search<T>(arr []T, target T) ?int {
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|
|
mut left := 0
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|
|
mut right := arr.len - 1
|
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|
|
for ; left <= right; {
|
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|
idx := (left + right) / 2
|
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|
|
elem := arr[idx]
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|
|
if elem == target {
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|
return idx
|
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|
}
|
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|
|
if elem < target {
|
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|
|
left = idx + 1
|
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|
} else {
|
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|
|
right = idx - 1
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return error('')
|
|
|
|
}
|