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Merge pull request #108 from vinted/pull_pr_7304
*: pull pr thanos-io#7304
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// Copyright (c) The Thanos Authors. | ||
// Licensed under the Apache License 2.0. | ||
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// Original version copyright Bryan Boreham, 2024. | ||
// https://github.com/bboreham/go-loser/tree/any. | ||
// Loser tree, from https://en.wikipedia.org/wiki/K-way_merge_algorithm#Tournament_Tree | ||
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package losertree | ||
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type Sequence interface { | ||
Next() bool // Advances and returns true if there is a value at this new position. | ||
} | ||
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func New[E any, S Sequence](sequences []S, maxVal E, at func(S) E, less func(E, E) bool, close func(S)) *Tree[E, S] { | ||
nSequences := len(sequences) | ||
t := Tree[E, S]{ | ||
maxVal: maxVal, | ||
at: at, | ||
less: less, | ||
close: close, | ||
nodes: make([]node[E, S], nSequences*2), | ||
} | ||
for i, s := range sequences { | ||
t.nodes[i+nSequences].items = s | ||
t.moveNext(i + nSequences) // Must call Next on each item so that At() has a value. | ||
} | ||
if nSequences > 0 { | ||
t.nodes[0].index = -1 // flag to be initialized on first call to Next(). | ||
} | ||
return &t | ||
} | ||
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// Call the close function on all sequences that are still open. | ||
func (t *Tree[E, S]) Close() { | ||
for _, e := range t.nodes[len(t.nodes)/2 : len(t.nodes)] { | ||
if e.index == -1 { | ||
continue | ||
} | ||
t.close(e.items) | ||
} | ||
} | ||
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// A loser tree is a binary tree laid out such that nodes N and N+1 have parent N/2. | ||
// We store M leaf nodes in positions M...2M-1, and M-1 internal nodes in positions 1..M-1. | ||
// Node 0 is a special node, containing the winner of the contest. | ||
type Tree[E any, S Sequence] struct { | ||
maxVal E | ||
at func(S) E | ||
less func(E, E) bool | ||
close func(S) // Called when Next() returns false. | ||
nodes []node[E, S] | ||
} | ||
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type node[E any, S Sequence] struct { | ||
index int // This is the loser for all nodes except the 0th, where it is the winner. | ||
value E // Value copied from the loser node, or winner for node 0. | ||
items S // Only populated for leaf nodes. | ||
} | ||
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func (t *Tree[E, S]) moveNext(index int) bool { | ||
n := &t.nodes[index] | ||
if n.items.Next() { | ||
n.value = t.at(n.items) | ||
return true | ||
} | ||
t.close(n.items) // Next() returned false; close it and mark as finished. | ||
n.value = t.maxVal | ||
n.index = -1 | ||
return false | ||
} | ||
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func (t *Tree[E, S]) Winner() S { | ||
return t.nodes[t.nodes[0].index].items | ||
} | ||
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func (t *Tree[E, S]) At() E { | ||
return t.nodes[0].value | ||
} | ||
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func (t *Tree[E, S]) Next() bool { | ||
nodes := t.nodes | ||
if len(nodes) == 0 { | ||
return false | ||
} | ||
if nodes[0].index == -1 { // If tree has not been initialized yet, do that. | ||
t.initialize() | ||
return nodes[nodes[0].index].index != -1 | ||
} | ||
if nodes[nodes[0].index].index == -1 { // already exhausted. | ||
return false | ||
} | ||
t.moveNext(nodes[0].index) | ||
t.replayGames(nodes[0].index) | ||
return nodes[nodes[0].index].index != -1 | ||
} | ||
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// Current winner has been advanced independently; fix up the loser tree. | ||
func (t *Tree[E, S]) Fix(closed bool) { | ||
nodes := t.nodes | ||
cur := &nodes[nodes[0].index] | ||
if closed { | ||
cur.value = t.maxVal | ||
cur.index = -1 | ||
} else { | ||
cur.value = t.at(cur.items) | ||
} | ||
t.replayGames(nodes[0].index) | ||
} | ||
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func (t *Tree[E, S]) IsEmpty() bool { | ||
nodes := t.nodes | ||
if nodes[0].index == -1 { // If tree has not been initialized yet, do that. | ||
t.initialize() | ||
} | ||
return nodes[nodes[0].index].index == -1 | ||
} | ||
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func (t *Tree[E, S]) initialize() { | ||
winner := t.playGame(1) | ||
t.nodes[0].index = winner | ||
t.nodes[0].value = t.nodes[winner].value | ||
} | ||
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// Find the winner at position pos; if it is a non-leaf node, store the loser. | ||
// pos must be >= 1 and < len(t.nodes). | ||
func (t *Tree[E, S]) playGame(pos int) int { | ||
nodes := t.nodes | ||
if pos >= len(nodes)/2 { | ||
return pos | ||
} | ||
left := t.playGame(pos * 2) | ||
right := t.playGame(pos*2 + 1) | ||
var loser, winner int | ||
if t.less(nodes[left].value, nodes[right].value) { | ||
loser, winner = right, left | ||
} else { | ||
loser, winner = left, right | ||
} | ||
nodes[pos].index = loser | ||
nodes[pos].value = nodes[loser].value | ||
return winner | ||
} | ||
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// Starting at pos, which is a winner, re-consider all values up to the root. | ||
func (t *Tree[E, S]) replayGames(pos int) { | ||
nodes := t.nodes | ||
winningValue := nodes[pos].value | ||
for n := parent(pos); n != 0; n = parent(n) { | ||
node := &nodes[n] | ||
if t.less(node.value, winningValue) { | ||
// Record pos as the loser here, and the old loser is the new winner. | ||
node.index, pos = pos, node.index | ||
node.value, winningValue = winningValue, node.value | ||
} | ||
} | ||
// pos is now the winner; store it in node 0. | ||
nodes[0].index = pos | ||
nodes[0].value = winningValue | ||
} | ||
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func parent(i int) int { return i >> 1 } |
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// Copyright (c) The Thanos Authors. | ||
// Licensed under the Apache License 2.0. | ||
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// Original version copyright Bryan Boreham, 2024. | ||
// https://github.com/bboreham/go-loser/tree/any. | ||
package losertree | ||
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import ( | ||
"math" | ||
"testing" | ||
) | ||
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type List struct { | ||
list []uint64 | ||
cur uint64 | ||
} | ||
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func NewList(list ...uint64) *List { | ||
return &List{list: list} | ||
} | ||
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func (it *List) At() uint64 { | ||
return it.cur | ||
} | ||
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func (it *List) Next() bool { | ||
if len(it.list) > 0 { | ||
it.cur = it.list[0] | ||
it.list = it.list[1:] | ||
return true | ||
} | ||
it.cur = 0 | ||
return false | ||
} | ||
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func (it *List) Seek(val uint64) bool { | ||
for it.cur < val && len(it.list) > 0 { | ||
it.cur = it.list[0] | ||
it.list = it.list[1:] | ||
} | ||
return len(it.list) > 0 | ||
} | ||
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func checkIterablesEqual[E any, S1 Sequence, S2 Sequence](t *testing.T, a S1, b S2, at1 func(S1) E, at2 func(S2) E, less func(E, E) bool) { | ||
t.Helper() | ||
count := 0 | ||
for a.Next() { | ||
count++ | ||
if !b.Next() { | ||
t.Fatalf("b ended before a after %d elements", count) | ||
} | ||
if less(at1(a), at2(b)) || less(at2(b), at1(a)) { | ||
t.Fatalf("position %d: %v != %v", count, at1(a), at2(b)) | ||
} | ||
} | ||
if b.Next() { | ||
t.Fatalf("a ended before b after %d elements", count) | ||
} | ||
} | ||
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var testCases = []struct { | ||
name string | ||
args []*List | ||
want *List | ||
}{ | ||
{ | ||
name: "empty input", | ||
want: NewList(), | ||
}, | ||
{ | ||
name: "one list", | ||
args: []*List{NewList(1, 2, 3, 4)}, | ||
want: NewList(1, 2, 3, 4), | ||
}, | ||
{ | ||
name: "two lists", | ||
args: []*List{NewList(3, 4, 5), NewList(1, 2)}, | ||
want: NewList(1, 2, 3, 4, 5), | ||
}, | ||
{ | ||
name: "two lists, first empty", | ||
args: []*List{NewList(), NewList(1, 2)}, | ||
want: NewList(1, 2), | ||
}, | ||
{ | ||
name: "two lists, second empty", | ||
args: []*List{NewList(1, 2), NewList()}, | ||
want: NewList(1, 2), | ||
}, | ||
{ | ||
name: "two lists b", | ||
args: []*List{NewList(1, 2), NewList(3, 4, 5)}, | ||
want: NewList(1, 2, 3, 4, 5), | ||
}, | ||
{ | ||
name: "two lists c", | ||
args: []*List{NewList(1, 3), NewList(2, 4, 5)}, | ||
want: NewList(1, 2, 3, 4, 5), | ||
}, | ||
{ | ||
name: "three lists", | ||
args: []*List{NewList(1, 3), NewList(2, 4), NewList(5)}, | ||
want: NewList(1, 2, 3, 4, 5), | ||
}, | ||
} | ||
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func TestMerge(t *testing.T) { | ||
at := func(s *List) uint64 { return s.At() } | ||
less := func(a, b uint64) bool { return a < b } | ||
at2 := func(s *Tree[uint64, *List]) uint64 { return s.Winner().At() } | ||
for _, tt := range testCases { | ||
t.Run(tt.name, func(t *testing.T) { | ||
numCloses := 0 | ||
closeFn := func(_ *List) { | ||
numCloses++ | ||
} | ||
lt := New(tt.args, math.MaxUint64, at, less, closeFn) | ||
checkIterablesEqual(t, tt.want, lt, at, at2, less) | ||
if numCloses != len(tt.args) { | ||
t.Errorf("Expected %d closes, got %d", len(tt.args), numCloses) | ||
} | ||
}) | ||
} | ||
} |
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