func (it *SieveIterator) fetch(pageSize int, pageToken string) (string, error) {
start := 2
if pageToken != "" {
s, err := strconv.Atoi(pageToken)
if err != nil || s < 2 {
return "", fmt.Errorf("invalid token %q", pageToken)
}
start = s
}
if pageSize == 0 {
pageSize = 20 // Default page size.
}
// Make sure sufficient primes have been calculated.
it.calc(start + pageSize)
// Find the subslice of primes which match this page.
// Note that PageInfo requires that fetch does not remove any existing items,
// so we cannot assume that items is empty at this call.
items := it.p[sort.SearchInts(it.p, start):]
items = items[:sort.SearchInts(items, start+pageSize)]
it.items = append(it.items, items...)
if it.max > 0 && start+pageSize > it.max {
return "", nil // No more possible numbers to return.
}
return strconv.Itoa(start + pageSize), nil
}
// LIS is longest increasing subsequence
func LIS(seq []int) int {
dp := make([]int, len(seq))
for i := range dp {
dp[i] = math.MaxInt64
}
for _, n := range seq {
i := sort.SearchInts(dp, n)
dp[i] = n
}
return sort.SearchInts(dp, math.MaxInt64)
}
func TestSearchSmall(t *testing.T) {
rand.Seed(0)
const limit = 10000
var ints []int
for i := 0; i < limit; i++ {
ints = append(ints, rand.Int())
}
sort.Ints(ints)
for want, q := range ints {
if idx := Search(ints, q); idx != want {
t.Errorf("Search(ints, %v)=%v, want %v", q, idx, want)
}
}
for i := 0; i < 10000; i++ {
q := rand.Int()
want := sort.SearchInts(ints, q)
if idx := Search(ints, q); idx != want {
t.Errorf("Search(ints, %v)=%v, want %v", q, idx, want)
}
}
}
// IsPrime is a primality test: it returns true if n is prime.
// It uses trial division to check whether n can be divided exactly by any
// number that is less than n.
// The algorithm can be very slow on large n despite a number of optimizations:
//
// * If n is relatively small, it is compared against a cached table of primes.
//
// * Only numbers up to sqrt(n) are used to check for primality.
//
// * n is first checked for divisibility by the primes in the cache and only if the test is inconclusive, n is checked against more numbers.
//
// * Only numbers of the form 6*k+|-1 that are greater than the last prime in the cache are checked after that.
//
// See https://en.wikipedia.org/wiki/Primality_test and
// https://en.wikipedia.org/wiki/Trial_division for details.
func IsPrime(n int) bool {
pMax := primes[len(primes)-1]
if n <= pMax {
// If n is prime, it must be in the cache
i := sort.SearchInts(primes, n)
return n == primes[i]
}
max := int(math.Ceil(math.Sqrt(float64(n))))
// Check if n is divisible by any of the cached primes
for _, p := range primes {
if p > max {
return true
}
if n%p == 0 {
return false
}
}
// When you run out of cached primes, check if n is divisible by
// any number 6*k+|-1 larger than the largest prime in the cache.
for d := (pMax/6+1)*6 - 1; d <= max; d += 6 {
if n%d == 0 || n%(d+2) == 0 {
return false
}
}
return true
}
func primes() <-chan int {
c := make(chan int, 1)
cache := make([]int, 0)
isPrime := func(n int) bool {
for _, x := range cache[0 : sort.SearchInts(cache, int(math.Sqrt(float64(n))))+1] {
if n%x == 0 {
return false
}
}
return true
}
go func() {
c <- 2
cache = append(cache, 2)
for i := 3; ; i += 2 {
if isPrime(i) {
c <- i
cache = append(cache, i)
}
}
}()
return c
}
// choose calculates (n k) or n choose k. Tolerant of quite large n/k.
func choose(n int, k int) int {
if k > n/2 {
k = n - k
}
numerator := make([]int, n-k)
denominator := make([]int, n-k)
for i, j := k+1, 1; i <= n; i, j = i+1, j+1 {
numerator[j-1] = int(i)
denominator[j-1] = j
}
if len(denominator) > 0 {
// find the first member of numerator not in denominator
z := sort.SearchInts(numerator, denominator[len(denominator)-1])
if z > 0 {
numerator = numerator[z+1:]
denominator = denominator[0 : len(denominator)-z-1]
}
}
for j := len(denominator) - 1; j > 0; j-- {
for i := len(numerator) - 1; i >= 0; i-- {
if numerator[i]%denominator[j] == 0 {
numerator[i] /= denominator[j]
denominator[j] = 1
break
}
}
}
f := 1
for _, i := range numerator {
f *= i
}
return f
}
func validateBitType(sqlType string, goType reflect.Type) bool {
bits := 0
if n, err := fmt.Sscanf(sqlType, "bit(%d)", &bits); err != nil {
return false
} else if n != 1 {
return false
}
requiredBits := []int{8, 16, 32, 64}
i := sort.SearchInts(requiredBits, bits)
if i >= len(requiredBits) {
return false
}
bits = requiredBits[i]
switch goType.Kind() {
case reflect.Int, reflect.Uint:
fallthrough
case reflect.Int8, reflect.Uint8:
fallthrough
case reflect.Int16, reflect.Uint16:
fallthrough
case reflect.Int32, reflect.Uint32:
fallthrough
case reflect.Int64, reflect.Uint64:
return bits == goType.Bits()
}
return false
}
// Remove removes an item from the set
func (s *Set) Remove(v int) bool {
if pos := sort.SearchInts(s.items, v); pos < len(s.items) && s.items[pos] == v {
s.items = s.items[:pos+copy(s.items[pos:], s.items[pos+1:])]
return true
}
return false
}
func serveClients() {
level = data.LoadLevel(LevelFile)
frameCounter = 0
for { // while true
if len(clients) > 0 { // pause if no clients are connected
for _, k := range clientKeys {
id, client := k, clients[k]
if id > 0 {
oFrame := level.GetFrame(client.off, client.w, canvasX, frameCounter)
enc := gob.NewEncoder(client.con)
err := enc.Encode(oFrame)
if err != nil {
// client disconnected
//log.Println("BEFORE remove: clients:", clients, " clientKeys:", clientKeys)
// delete client
delete(clients, client.id)
// delete client key
// ugly as f**k in go to remove from a slice
// it *should* work though
idInKeys := sort.SearchInts(clientKeys, client.id)
clientKeys = append(clientKeys[:idInKeys], clientKeys[idInKeys+1:]...)
//log.Println("AFTER remove: clients:", clients, " clientKeys:", clientKeys)
resetServer()
}
//log.Println("ID:", id, "Client:", client)
}
}
frameCounter++
time.Sleep(time.Second / time.Duration(level.FPS))
}
}
}
func (e *Equations) Init(n int, peq_notsorted []int) {
peq := make([]int, len(peq_notsorted))
copy(peq, peq_notsorted)
sort.Ints(peq)
e.N = n
e.N2 = len(peq)
e.N1 = e.N - e.N2
e.RF1 = make([]int, e.N1)
e.FR1 = make([]int, e.N)
e.RF2 = make([]int, e.N2)
e.FR2 = make([]int, e.N)
var i1, i2 int
for eq := 0; eq < n; eq++ {
e.FR1[eq] = -1 // indicates 'not set'
e.FR2[eq] = -1
idx := sort.SearchInts(peq, eq)
if idx < len(peq) && peq[idx] == eq { // found => prescribed
e.RF2[i2] = eq
e.FR2[eq] = i2
i2 += 1
} else { // not found => unknowns
e.RF1[i1] = eq
e.FR1[eq] = i1
i1 += 1
}
}
}
/**
* Escapes the given range of the given sequence onto the given buffer iff it contains
* characters that need to be escaped.
* @return null if no output buffer was passed in, and s contains no characters that need
* escaping. Otherwise out, or a StringBuilder if one needed to be allocated.
*/
func (p *crossLanguageStringXform) maybeEscapeOntoSubstring(s string, out io.Writer, start, end int) (io.Writer, error) {
var err error
pos := start
escapesByCodeUnitLen := len(p.escapesByCodeUnit)
for j, c := range s[start:end] {
i := start + j
if int(c) < escapesByCodeUnitLen { // Use the dense map.
esc := p.escapesByCodeUnit[c]
if esc != "" {
if out == nil {
// Create a new buffer if we need to escape a character in s.
// We add 32 to the size to leave a decent amount of space for escape characters.
out = bytes.NewBuffer(make([]byte, 0))
}
_, err = io.WriteString(out, s[pos:i])
if err != nil {
return out, err
}
_, err = io.WriteString(out, esc)
if err != nil {
return out, err
}
pos = i + 1
}
} else if c >= 0x80 { // Use the sparse map.
index := sort.SearchInts(p.nonAsciiCodeUnits, int(c))
if index >= 0 {
if out == nil {
out = bytes.NewBuffer(make([]byte, 0))
}
_, err = io.WriteString(out, s[pos:i])
if err != nil {
return out, err
}
_, err = io.WriteString(out, p.nonAsciiEscapes[index])
if err != nil {
return out, err
}
pos = i + 1
} else if p.nonAsciiPrefix != "" { // Fallback to the prefix based escaping.
if out == nil {
out = bytes.NewBuffer(make([]byte, 0))
}
_, err = io.WriteString(out, s[pos:i])
if err != nil {
return out, err
}
err = p.escapeUsingPrefix(c, out)
if err != nil {
return out, err
}
pos = i + 1
}
}
}
if out != nil {
_, err = io.WriteString(out, s[pos:end])
}
return out, err
}
func TestSearchBig(t *testing.T) {
if testing.Short() {
t.Skip("Skipping big test search")
}
rand.Seed(0)
const maxLimit = 100e6
ints := make([]int, maxLimit)
for i := 0; i < maxLimit; i++ {
ints[i] = rand.Int()
}
sort.Ints(ints)
for i := 0; i < 100000000; i++ {
elt := rand.Int()
vidx := Search(ints, elt)
idx := sort.SearchInts(ints, elt)
if vidx != idx {
t.Fatalf("Search failed for elt=%d: got %d want %d\n", elt, vidx, idx)
}
}
}
// remove removes the id from the list if it exists and returns a new list of ids.
func (s ids) remove(id int) ids {
index := sort.SearchInts([]int(s), id)
if index < len(s) && s[index] == id {
s = append(s[:index], s[index+1:]...)
}
return s
}
func (set *Set) getScore() int {
score := 0
matches := 0
for _, row := range *test_data {
matches = 0
// score += -1 //1 combination cost
for _, num := range *set {
n := sort.SearchInts(*row, num)
if n < len(*row) && (*row)[n] == num {
matches++
}
}
switch matches {
case 3:
score += 2
case 4:
score += 2 << 1
case 5:
score += 2 << 2
case 6:
score += 2 << 3
}
}
return score
}
// IntUnique returns a unique and sorted slice of integers
func IntUnique(slices ...[]int) (res []int) {
if len(slices) == 0 {
return
}
nn := 0
for i := 0; i < len(slices); i++ {
nn += len(slices[i])
}
res = make([]int, 0, nn)
for i := 0; i < len(slices); i++ {
a := make([]int, len(slices[i]))
copy(a, slices[i])
sort.Ints(a)
for j := 0; j < len(a); j++ {
idx := sort.SearchInts(res, a[j])
if idx < len(res) && res[idx] == a[j] {
continue // found
} else {
if idx == len(res) { // append
res = append(res, a[j])
} else { // insert
res = append(res[:idx], append([]int{a[j]}, res[idx:]...)...)
}
}
}
}
return
}
func main() {
arr := []int{9, 8, 7, 6, 3, 2, 1}
sort.Ints(arr)
fmt.Printf("%v\n", arr)
result := sort.SearchInts(arr, 5)
fmt.Printf("%v\n", result)
}
func (h *host) allocateTCP(port uint16) (uint16, error) {
h.mtx.Lock()
defer h.mtx.Unlock()
if len(h.TCP) == (math.MaxUint16 - 1) {
return 0, errors.New("port pool depleted")
}
// Find next unused port
var wrapCount = 0
for port == 0 {
if h.NextTCP >= math.MaxUint16 {
h.NextTCP = 49152
wrapCount++
if wrapCount == 2 {
return 0, errors.New("port pool depleted")
}
} else if h.NextTCP < 49152 {
h.NextTCP = 49152
} else {
h.NextTCP++
}
if sort.SearchInts(h.TCP, h.NextTCP) == len(h.TCP) {
port = uint16(h.NextTCP)
break
}
}
h.TCP = append(h.TCP, int(port))
sort.Ints(h.TCP)
return port, nil
}
func (expr *Expression) nextMonth(t time.Time) time.Time {
// Find index at which item in list is greater or equal to
// candidate month
i := sort.SearchInts(expr.monthList, int(t.Month())+1)
if i == len(expr.monthList) {
return expr.nextYear(t)
}
// Month changed, need to recalculate actual days of month
expr.actualDaysOfMonthList = expr.calculateActualDaysOfMonth(t.Year(), expr.monthList[i])
if len(expr.actualDaysOfMonthList) == 0 {
return expr.nextMonth(time.Date(
t.Year(),
time.Month(expr.monthList[i]),
1,
expr.hourList[0],
expr.minuteList[0],
expr.secondList[0],
0,
t.Location()))
}
return time.Date(
t.Year(),
time.Month(expr.monthList[i]),
expr.actualDaysOfMonthList[0],
expr.hourList[0],
expr.minuteList[0],
expr.secondList[0],
0,
t.Location())
}
func DeleteItem(inta myint, val int) []int {
if len(inta) == 0 {
return inta
}
sort.Sort(inta)
i := sort.SearchInts(inta, val)
return append(inta[:i], inta[i+1:]...)
}
func upperBoundInts(ints []int, x int) int {
i := sort.SearchInts(ints, x)
for i < len(ints) && ints[i] == x {
i++
}
return i
}
func lowerBoundInts(ints []int, x int) int {
i := sort.SearchInts(ints, x)
for i > 0 && ints[i-1] == x {
i--
}
return i
}
// Position returns the corresponding line:column pair of the given position in
// the input stream.
func (src *Source) Position(pos int) (line, column int) {
// Implemented using binary search, lines should be sorted in ascending
// order.
index := sort.SearchInts(src.Lines, pos+1) - 1
line = index + 1
column = pos - src.Lines[index] + 1
return line, column
}
func expandCluster(data []Point, cluster []int, seen []pointStatus, epsilon float64) []int {
tmp := []int(nil)
for i := range data {
if seen[i] == _Cluster {
if sort.SearchInts(cluster, i) == len(cluster) || sort.SearchInts(tmp, i) == len(tmp) {
for _, j := range cluster {
if withinEpsilon(data[i], data[j], epsilon) {
tmp = append(tmp, i)
seen[i] = _Cluster
} else {
seen[i] = _Noise
}
}
}
}
}
return merge(cluster, tmp)
}
func (this *ArrayList) Find(docid int) (err error) {
subLen := len(this.docIds) - this.curPos
searchRes := sort.SearchInts(this.docIds[this.curPos:], docid)
if searchRes < subLen {
return nil
} else {
return fmt.Errorf("can not find docid[%d]", docid)
}
}
func (lis *LIS) findIdx(num int) int {
// on a mostly sorted array, check the last bucket before doing binary search.
bLen := len(lis.bucket)
if bLen > 0 && lis.bucket[bLen-1] < num {
return bLen
} else {
return sort.SearchInts(lis.bucket, num)
}
}
// appends x to array of ints
func appendIntIfNotExists(aPtr *[]int, x int) {
a := *aPtr
if sort.SearchInts(a, x) >= 0 {
return
}
a = append(a, x)
sort.Ints(a)
*aPtr = a
}
func (t *MedianAnalyzer) addUniqueCount(count int) {
// Search for proper place
i := sort.SearchInts(t.UniqueCounts, count)
// insert value
t.UniqueCounts = append(t.UniqueCounts, 0)
copy(t.UniqueCounts[i+1:], t.UniqueCounts[i:])
t.UniqueCounts[i] = count
}
func (b *Broker) isPartitionBlocked(partition int) bool {
if b.nWriteDisabledPartitions == 0 {
return false
}
idx := sort.SearchInts(b.writeDisabledPartitions, partition)
if b.writeDisabledPartitions[idx] == partition {
return true
}
return false
}
func (w *WaitSet) check(i, idx, prev int) bool {
if w.wait[idx] == nil {
return true
}
j := sort.SearchInts(w.wait[idx], i-prev)
if j == len(w.wait[idx]) || w.wait[idx][j] != i-prev {
return false
}
return true
}
func (s *Set) Remove(n int) {
s.mu.Lock()
defer s.mu.Unlock()
i := sort.SearchInts(s.m, n)
if i == len(s.m) || s.m[i] != n {
return
}
copy(s.m[i+1:], s.m[i:])
s.m = s.m[:len(s.m)-1]
}
