516 lines
14 KiB
Go
516 lines
14 KiB
Go
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// Copyright 2021 The Go Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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// Package slices defines various functions useful with slices of any type.
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package slices
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import (
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"unsafe"
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"golang.org/x/exp/constraints"
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)
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// Equal reports whether two slices are equal: the same length and all
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// elements equal. If the lengths are different, Equal returns false.
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// Otherwise, the elements are compared in increasing index order, and the
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// comparison stops at the first unequal pair.
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// Floating point NaNs are not considered equal.
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func Equal[S ~[]E, E comparable](s1, s2 S) bool {
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if len(s1) != len(s2) {
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return false
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}
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for i := range s1 {
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if s1[i] != s2[i] {
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return false
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}
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}
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return true
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}
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// EqualFunc reports whether two slices are equal using an equality
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// function on each pair of elements. If the lengths are different,
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// EqualFunc returns false. Otherwise, the elements are compared in
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// increasing index order, and the comparison stops at the first index
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// for which eq returns false.
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func EqualFunc[S1 ~[]E1, S2 ~[]E2, E1, E2 any](s1 S1, s2 S2, eq func(E1, E2) bool) bool {
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if len(s1) != len(s2) {
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return false
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}
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for i, v1 := range s1 {
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v2 := s2[i]
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if !eq(v1, v2) {
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return false
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}
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}
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return true
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}
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// Compare compares the elements of s1 and s2, using [cmp.Compare] on each pair
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// of elements. The elements are compared sequentially, starting at index 0,
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// until one element is not equal to the other.
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// The result of comparing the first non-matching elements is returned.
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// If both slices are equal until one of them ends, the shorter slice is
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// considered less than the longer one.
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// The result is 0 if s1 == s2, -1 if s1 < s2, and +1 if s1 > s2.
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func Compare[S ~[]E, E constraints.Ordered](s1, s2 S) int {
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for i, v1 := range s1 {
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if i >= len(s2) {
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return +1
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}
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v2 := s2[i]
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if c := cmpCompare(v1, v2); c != 0 {
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return c
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}
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}
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if len(s1) < len(s2) {
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return -1
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}
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return 0
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}
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// CompareFunc is like [Compare] but uses a custom comparison function on each
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// pair of elements.
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// The result is the first non-zero result of cmp; if cmp always
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// returns 0 the result is 0 if len(s1) == len(s2), -1 if len(s1) < len(s2),
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// and +1 if len(s1) > len(s2).
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func CompareFunc[S1 ~[]E1, S2 ~[]E2, E1, E2 any](s1 S1, s2 S2, cmp func(E1, E2) int) int {
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for i, v1 := range s1 {
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if i >= len(s2) {
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return +1
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}
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v2 := s2[i]
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if c := cmp(v1, v2); c != 0 {
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return c
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}
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}
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if len(s1) < len(s2) {
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return -1
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}
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return 0
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}
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// Index returns the index of the first occurrence of v in s,
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// or -1 if not present.
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func Index[S ~[]E, E comparable](s S, v E) int {
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for i := range s {
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if v == s[i] {
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return i
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}
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}
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return -1
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}
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// IndexFunc returns the first index i satisfying f(s[i]),
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// or -1 if none do.
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func IndexFunc[S ~[]E, E any](s S, f func(E) bool) int {
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for i := range s {
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if f(s[i]) {
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return i
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}
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}
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return -1
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}
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// Contains reports whether v is present in s.
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func Contains[S ~[]E, E comparable](s S, v E) bool {
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return Index(s, v) >= 0
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}
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// ContainsFunc reports whether at least one
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// element e of s satisfies f(e).
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func ContainsFunc[S ~[]E, E any](s S, f func(E) bool) bool {
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return IndexFunc(s, f) >= 0
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}
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// Insert inserts the values v... into s at index i,
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// returning the modified slice.
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// The elements at s[i:] are shifted up to make room.
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// In the returned slice r, r[i] == v[0],
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// and r[i+len(v)] == value originally at r[i].
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// Insert panics if i is out of range.
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// This function is O(len(s) + len(v)).
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func Insert[S ~[]E, E any](s S, i int, v ...E) S {
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m := len(v)
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if m == 0 {
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return s
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}
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n := len(s)
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if i == n {
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return append(s, v...)
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}
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if n+m > cap(s) {
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// Use append rather than make so that we bump the size of
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// the slice up to the next storage class.
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// This is what Grow does but we don't call Grow because
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// that might copy the values twice.
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s2 := append(s[:i], make(S, n+m-i)...)
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copy(s2[i:], v)
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copy(s2[i+m:], s[i:])
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return s2
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}
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s = s[:n+m]
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// before:
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// s: aaaaaaaabbbbccccccccdddd
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// ^ ^ ^ ^
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// i i+m n n+m
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// after:
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// s: aaaaaaaavvvvbbbbcccccccc
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// ^ ^ ^ ^
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// i i+m n n+m
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//
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// a are the values that don't move in s.
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// v are the values copied in from v.
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// b and c are the values from s that are shifted up in index.
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// d are the values that get overwritten, never to be seen again.
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if !overlaps(v, s[i+m:]) {
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// Easy case - v does not overlap either the c or d regions.
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// (It might be in some of a or b, or elsewhere entirely.)
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// The data we copy up doesn't write to v at all, so just do it.
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copy(s[i+m:], s[i:])
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// Now we have
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// s: aaaaaaaabbbbbbbbcccccccc
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// ^ ^ ^ ^
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// i i+m n n+m
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// Note the b values are duplicated.
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copy(s[i:], v)
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// Now we have
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// s: aaaaaaaavvvvbbbbcccccccc
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// ^ ^ ^ ^
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// i i+m n n+m
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// That's the result we want.
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return s
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}
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// The hard case - v overlaps c or d. We can't just shift up
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// the data because we'd move or clobber the values we're trying
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// to insert.
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// So instead, write v on top of d, then rotate.
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copy(s[n:], v)
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// Now we have
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// s: aaaaaaaabbbbccccccccvvvv
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// ^ ^ ^ ^
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// i i+m n n+m
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rotateRight(s[i:], m)
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// Now we have
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// s: aaaaaaaavvvvbbbbcccccccc
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// ^ ^ ^ ^
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// i i+m n n+m
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// That's the result we want.
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return s
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}
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// clearSlice sets all elements up to the length of s to the zero value of E.
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// We may use the builtin clear func instead, and remove clearSlice, when upgrading
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// to Go 1.21+.
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func clearSlice[S ~[]E, E any](s S) {
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var zero E
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for i := range s {
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s[i] = zero
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}
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}
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// Delete removes the elements s[i:j] from s, returning the modified slice.
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// Delete panics if j > len(s) or s[i:j] is not a valid slice of s.
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// Delete is O(len(s)-i), so if many items must be deleted, it is better to
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// make a single call deleting them all together than to delete one at a time.
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// Delete zeroes the elements s[len(s)-(j-i):len(s)].
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func Delete[S ~[]E, E any](s S, i, j int) S {
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_ = s[i:j:len(s)] // bounds check
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if i == j {
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return s
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}
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oldlen := len(s)
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s = append(s[:i], s[j:]...)
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clearSlice(s[len(s):oldlen]) // zero/nil out the obsolete elements, for GC
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return s
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}
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// DeleteFunc removes any elements from s for which del returns true,
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// returning the modified slice.
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// DeleteFunc zeroes the elements between the new length and the original length.
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func DeleteFunc[S ~[]E, E any](s S, del func(E) bool) S {
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i := IndexFunc(s, del)
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if i == -1 {
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return s
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}
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// Don't start copying elements until we find one to delete.
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for j := i + 1; j < len(s); j++ {
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if v := s[j]; !del(v) {
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s[i] = v
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i++
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}
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}
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clearSlice(s[i:]) // zero/nil out the obsolete elements, for GC
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return s[:i]
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}
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// Replace replaces the elements s[i:j] by the given v, and returns the
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// modified slice. Replace panics if s[i:j] is not a valid slice of s.
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// When len(v) < (j-i), Replace zeroes the elements between the new length and the original length.
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func Replace[S ~[]E, E any](s S, i, j int, v ...E) S {
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_ = s[i:j] // verify that i:j is a valid subslice
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if i == j {
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return Insert(s, i, v...)
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}
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if j == len(s) {
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return append(s[:i], v...)
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}
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tot := len(s[:i]) + len(v) + len(s[j:])
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if tot > cap(s) {
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// Too big to fit, allocate and copy over.
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s2 := append(s[:i], make(S, tot-i)...) // See Insert
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copy(s2[i:], v)
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copy(s2[i+len(v):], s[j:])
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return s2
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}
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r := s[:tot]
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if i+len(v) <= j {
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// Easy, as v fits in the deleted portion.
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copy(r[i:], v)
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if i+len(v) != j {
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copy(r[i+len(v):], s[j:])
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}
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clearSlice(s[tot:]) // zero/nil out the obsolete elements, for GC
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return r
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}
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// We are expanding (v is bigger than j-i).
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// The situation is something like this:
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// (example has i=4,j=8,len(s)=16,len(v)=6)
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// s: aaaaxxxxbbbbbbbbyy
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// ^ ^ ^ ^
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// i j len(s) tot
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// a: prefix of s
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// x: deleted range
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// b: more of s
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// y: area to expand into
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if !overlaps(r[i+len(v):], v) {
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// Easy, as v is not clobbered by the first copy.
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copy(r[i+len(v):], s[j:])
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copy(r[i:], v)
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return r
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}
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// This is a situation where we don't have a single place to which
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// we can copy v. Parts of it need to go to two different places.
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// We want to copy the prefix of v into y and the suffix into x, then
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// rotate |y| spots to the right.
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//
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// v[2:] v[:2]
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// | |
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// s: aaaavvvvbbbbbbbbvv
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// ^ ^ ^ ^
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// i j len(s) tot
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//
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// If either of those two destinations don't alias v, then we're good.
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y := len(v) - (j - i) // length of y portion
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if !overlaps(r[i:j], v) {
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copy(r[i:j], v[y:])
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copy(r[len(s):], v[:y])
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rotateRight(r[i:], y)
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return r
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}
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if !overlaps(r[len(s):], v) {
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copy(r[len(s):], v[:y])
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copy(r[i:j], v[y:])
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rotateRight(r[i:], y)
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return r
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}
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// Now we know that v overlaps both x and y.
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// That means that the entirety of b is *inside* v.
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// So we don't need to preserve b at all; instead we
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// can copy v first, then copy the b part of v out of
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// v to the right destination.
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k := startIdx(v, s[j:])
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copy(r[i:], v)
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copy(r[i+len(v):], r[i+k:])
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return r
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}
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// Clone returns a copy of the slice.
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// The elements are copied using assignment, so this is a shallow clone.
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func Clone[S ~[]E, E any](s S) S {
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// Preserve nil in case it matters.
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if s == nil {
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return nil
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}
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return append(S([]E{}), s...)
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}
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// Compact replaces consecutive runs of equal elements with a single copy.
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// This is like the uniq command found on Unix.
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// Compact modifies the contents of the slice s and returns the modified slice,
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// which may have a smaller length.
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// Compact zeroes the elements between the new length and the original length.
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func Compact[S ~[]E, E comparable](s S) S {
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if len(s) < 2 {
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return s
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}
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i := 1
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for k := 1; k < len(s); k++ {
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if s[k] != s[k-1] {
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if i != k {
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s[i] = s[k]
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}
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i++
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}
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}
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clearSlice(s[i:]) // zero/nil out the obsolete elements, for GC
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return s[:i]
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}
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// CompactFunc is like [Compact] but uses an equality function to compare elements.
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// For runs of elements that compare equal, CompactFunc keeps the first one.
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// CompactFunc zeroes the elements between the new length and the original length.
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func CompactFunc[S ~[]E, E any](s S, eq func(E, E) bool) S {
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if len(s) < 2 {
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return s
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}
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i := 1
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for k := 1; k < len(s); k++ {
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if !eq(s[k], s[k-1]) {
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if i != k {
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s[i] = s[k]
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}
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i++
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}
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}
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clearSlice(s[i:]) // zero/nil out the obsolete elements, for GC
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return s[:i]
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}
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// Grow increases the slice's capacity, if necessary, to guarantee space for
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// another n elements. After Grow(n), at least n elements can be appended
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// to the slice without another allocation. If n is negative or too large to
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// allocate the memory, Grow panics.
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func Grow[S ~[]E, E any](s S, n int) S {
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if n < 0 {
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panic("cannot be negative")
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}
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if n -= cap(s) - len(s); n > 0 {
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// TODO(https://go.dev/issue/53888): Make using []E instead of S
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// to workaround a compiler bug where the runtime.growslice optimization
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// does not take effect. Revert when the compiler is fixed.
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s = append([]E(s)[:cap(s)], make([]E, n)...)[:len(s)]
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}
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return s
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}
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// Clip removes unused capacity from the slice, returning s[:len(s):len(s)].
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func Clip[S ~[]E, E any](s S) S {
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return s[:len(s):len(s)]
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}
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// Rotation algorithm explanation:
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//
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||
|
// rotate left by 2
|
||
|
// start with
|
||
|
// 0123456789
|
||
|
// split up like this
|
||
|
// 01 234567 89
|
||
|
// swap first 2 and last 2
|
||
|
// 89 234567 01
|
||
|
// join first parts
|
||
|
// 89234567 01
|
||
|
// recursively rotate first left part by 2
|
||
|
// 23456789 01
|
||
|
// join at the end
|
||
|
// 2345678901
|
||
|
//
|
||
|
// rotate left by 8
|
||
|
// start with
|
||
|
// 0123456789
|
||
|
// split up like this
|
||
|
// 01 234567 89
|
||
|
// swap first 2 and last 2
|
||
|
// 89 234567 01
|
||
|
// join last parts
|
||
|
// 89 23456701
|
||
|
// recursively rotate second part left by 6
|
||
|
// 89 01234567
|
||
|
// join at the end
|
||
|
// 8901234567
|
||
|
|
||
|
// TODO: There are other rotate algorithms.
|
||
|
// This algorithm has the desirable property that it moves each element exactly twice.
|
||
|
// The triple-reverse algorithm is simpler and more cache friendly, but takes more writes.
|
||
|
// The follow-cycles algorithm can be 1-write but it is not very cache friendly.
|
||
|
|
||
|
// rotateLeft rotates b left by n spaces.
|
||
|
// s_final[i] = s_orig[i+r], wrapping around.
|
||
|
func rotateLeft[E any](s []E, r int) {
|
||
|
for r != 0 && r != len(s) {
|
||
|
if r*2 <= len(s) {
|
||
|
swap(s[:r], s[len(s)-r:])
|
||
|
s = s[:len(s)-r]
|
||
|
} else {
|
||
|
swap(s[:len(s)-r], s[r:])
|
||
|
s, r = s[len(s)-r:], r*2-len(s)
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
func rotateRight[E any](s []E, r int) {
|
||
|
rotateLeft(s, len(s)-r)
|
||
|
}
|
||
|
|
||
|
// swap swaps the contents of x and y. x and y must be equal length and disjoint.
|
||
|
func swap[E any](x, y []E) {
|
||
|
for i := 0; i < len(x); i++ {
|
||
|
x[i], y[i] = y[i], x[i]
|
||
|
}
|
||
|
}
|
||
|
|
||
|
// overlaps reports whether the memory ranges a[0:len(a)] and b[0:len(b)] overlap.
|
||
|
func overlaps[E any](a, b []E) bool {
|
||
|
if len(a) == 0 || len(b) == 0 {
|
||
|
return false
|
||
|
}
|
||
|
elemSize := unsafe.Sizeof(a[0])
|
||
|
if elemSize == 0 {
|
||
|
return false
|
||
|
}
|
||
|
// TODO: use a runtime/unsafe facility once one becomes available. See issue 12445.
|
||
|
// Also see crypto/internal/alias/alias.go:AnyOverlap
|
||
|
return uintptr(unsafe.Pointer(&a[0])) <= uintptr(unsafe.Pointer(&b[len(b)-1]))+(elemSize-1) &&
|
||
|
uintptr(unsafe.Pointer(&b[0])) <= uintptr(unsafe.Pointer(&a[len(a)-1]))+(elemSize-1)
|
||
|
}
|
||
|
|
||
|
// startIdx returns the index in haystack where the needle starts.
|
||
|
// prerequisite: the needle must be aliased entirely inside the haystack.
|
||
|
func startIdx[E any](haystack, needle []E) int {
|
||
|
p := &needle[0]
|
||
|
for i := range haystack {
|
||
|
if p == &haystack[i] {
|
||
|
return i
|
||
|
}
|
||
|
}
|
||
|
// TODO: what if the overlap is by a non-integral number of Es?
|
||
|
panic("needle not found")
|
||
|
}
|
||
|
|
||
|
// Reverse reverses the elements of the slice in place.
|
||
|
func Reverse[S ~[]E, E any](s S) {
|
||
|
for i, j := 0, len(s)-1; i < j; i, j = i+1, j-1 {
|
||
|
s[i], s[j] = s[j], s[i]
|
||
|
}
|
||
|
}
|