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bytes,strings: in generic Index, use mix of IndexByte and Rabin-Karp
Use IndexByte first, as it allows us to skip lots of bytes quickly. If IndexByte is generating a lot of false positives, switch over to Rabin-Karp. Experiments for ppc64le bytes: name old time/op new time/op delta IndexPeriodic/IndexPeriodic2-2 1.12ms ± 0% 0.18ms ± 0% -83.54% (p=0.000 n=10+9) IndexPeriodic/IndexPeriodic4-2 635µs ± 0% 184µs ± 0% -71.06% (p=0.000 n=9+9) IndexPeriodic/IndexPeriodic8-2 289µs ± 0% 184µs ± 0% -36.51% (p=0.000 n=10+9) IndexPeriodic/IndexPeriodic16-2 133µs ± 0% 183µs ± 0% +37.68% (p=0.000 n=10+9) IndexPeriodic/IndexPeriodic32-2 68.3µs ± 0% 70.2µs ± 0% +2.76% (p=0.000 n=10+10) IndexPeriodic/IndexPeriodic64-2 35.8µs ± 0% 36.6µs ± 0% +2.17% (p=0.000 n=8+10) strings: name old time/op new time/op delta IndexPeriodic/IndexPeriodic2-2 184µs ± 0% 184µs ± 0% +0.11% (p=0.029 n=4+4) IndexPeriodic/IndexPeriodic4-2 184µs ± 0% 184µs ± 0% ~ (p=0.886 n=4+4) IndexPeriodic/IndexPeriodic8-2 184µs ± 0% 184µs ± 0% ~ (p=0.486 n=4+4) IndexPeriodic/IndexPeriodic16-2 185µs ± 1% 184µs ± 0% ~ (p=0.343 n=4+4) IndexPeriodic/IndexPeriodic32-2 184µs ± 0% 69µs ± 0% -62.37% (p=0.029 n=4+4) IndexPeriodic/IndexPeriodic64-2 184µs ± 0% 37µs ± 0% -80.17% (p=0.029 n=4+4) Fixes #22578 Change-Id: If2a4d8554cb96bfd699b58149d13ac294615f8b8 Reviewed-on: https://go-review.googlesource.com/76070 Reviewed-by: Alberto Donizetti <alb.donizetti@gmail.com>
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@ -815,3 +815,46 @@ func EqualFold(s, t []byte) bool {
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// One string is empty. Are both?
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return len(s) == len(t)
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}
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func indexRabinKarp(s, sep []byte) int {
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// Rabin-Karp search
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hashsep, pow := hashStr(sep)
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n := len(sep)
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var h uint32
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for i := 0; i < n; i++ {
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h = h*primeRK + uint32(s[i])
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}
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if h == hashsep && Equal(s[:n], sep) {
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return 0
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}
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for i := n; i < len(s); {
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h *= primeRK
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h += uint32(s[i])
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h -= pow * uint32(s[i-n])
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i++
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if h == hashsep && Equal(s[i-n:i], sep) {
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return i - n
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}
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}
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return -1
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}
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// primeRK is the prime base used in Rabin-Karp algorithm.
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const primeRK = 16777619
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// hashStr returns the hash and the appropriate multiplicative
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// factor for use in Rabin-Karp algorithm.
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func hashStr(sep []byte) (uint32, uint32) {
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hash := uint32(0)
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for i := 0; i < len(sep); i++ {
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hash = hash*primeRK + uint32(sep[i])
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}
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var pow, sq uint32 = 1, primeRK
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for i := len(sep); i > 0; i >>= 1 {
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if i&1 != 0 {
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pow *= sq
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}
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sq *= sq
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}
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return hash, pow
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}
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@ -75,25 +75,7 @@ func Index(s, sep []byte) int {
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}
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return -1
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}
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// Rabin-Karp search
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hashsep, pow := hashStr(sep)
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var h uint32
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for i := 0; i < n; i++ {
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h = h*primeRK + uint32(s[i])
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}
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if h == hashsep && Equal(s[:n], sep) {
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return 0
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}
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for i := n; i < len(s); {
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h *= primeRK
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h += uint32(s[i])
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h -= pow * uint32(s[i-n])
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i++
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if h == hashsep && Equal(s[i-n:i], sep) {
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return i - n
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}
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}
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return -1
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return indexRabinKarp(s, sep)
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}
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// Count counts the number of non-overlapping instances of sep in s.
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@ -104,23 +86,3 @@ func Count(s, sep []byte) int {
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}
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return countGeneric(s, sep)
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}
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// primeRK is the prime base used in Rabin-Karp algorithm.
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const primeRK = 16777619
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// hashStr returns the hash and the appropriate multiplicative
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// factor for use in Rabin-Karp algorithm.
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func hashStr(sep []byte) (uint32, uint32) {
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hash := uint32(0)
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for i := 0; i < len(sep); i++ {
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hash = hash*primeRK + uint32(sep[i])
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}
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var pow, sq uint32 = 1, primeRK
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for i := len(sep); i > 0; i >>= 1 {
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if i&1 != 0 {
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pow *= sq
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}
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sq *= sq
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}
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return hash, pow
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}
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@ -6,23 +6,25 @@
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package bytes
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// TODO: implements short string optimization on non amd64 platforms
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// and get rid of bytes_amd64.go
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// Index returns the index of the first instance of sep in s, or -1 if sep is not present in s.
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func Index(s, sep []byte) int {
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n := len(sep)
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if n == 0 {
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switch {
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case n == 0:
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return 0
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case n == 1:
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return IndexByte(s, sep[0])
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case n == len(s):
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if Equal(sep, s) {
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return 0
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}
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if n > len(s) {
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return -1
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case n > len(s):
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return -1
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}
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c := sep[0]
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if n == 1 {
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return IndexByte(s, c)
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}
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i := 0
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fails := 0
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t := s[:len(s)-n+1]
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for i < len(t) {
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if t[i] != c {
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@ -36,6 +38,22 @@ func Index(s, sep []byte) int {
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return i
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}
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i++
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fails++
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if fails >= 4+i>>4 && i < len(t) {
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// Give up on IndexByte, it isn't skipping ahead
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// far enough to be better than Rabin-Karp.
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// Experiments (using IndexPeriodic) suggest
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// the cutover is about 16 byte skips.
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// TODO: if large prefixes of sep are matching
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// we should cutover at even larger average skips,
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// because Equal becomes that much more expensive.
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// This code does not take that effect into account.
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j := indexRabinKarp(s[i:], sep)
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if j < 0 {
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return -1
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}
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return i + j
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}
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}
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return -1
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}
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@ -76,25 +76,7 @@ func Index(s, sep []byte) int {
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}
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return -1
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}
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// Rabin-Karp search
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hashsep, pow := hashStr(sep)
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var h uint32
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for i := 0; i < n; i++ {
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h = h*primeRK + uint32(s[i])
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}
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if h == hashsep && Equal(s[:n], sep) {
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return 0
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}
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for i := n; i < len(s); {
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h *= primeRK
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h += uint32(s[i])
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h -= pow * uint32(s[i-n])
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i++
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if h == hashsep && Equal(s[i-n:i], sep) {
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return i - n
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}
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}
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return -1
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return indexRabinKarp(s, sep)
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}
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// Count counts the number of non-overlapping instances of sep in s.
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@ -102,23 +84,3 @@ func Index(s, sep []byte) int {
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func Count(s, sep []byte) int {
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return countGeneric(s, sep)
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}
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// primeRK is the prime base used in Rabin-Karp algorithm.
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const primeRK = 16777619
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// hashStr returns the hash and the appropriate multiplicative
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// factor for use in Rabin-Karp algorithm.
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func hashStr(sep []byte) (uint32, uint32) {
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hash := uint32(0)
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for i := 0; i < len(sep); i++ {
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hash = hash*primeRK + uint32(sep[i])
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}
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var pow, sq uint32 = 1, primeRK
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for i := len(sep); i > 0; i >>= 1 {
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if i&1 != 0 {
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pow *= sq
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}
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sq *= sq
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}
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return hash, pow
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}
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@ -139,6 +139,9 @@ var indexTests = []BinOpTest{
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{"barfoobarfooyyyzzzyyyzzzyyyzzzyyyxxxzzzyyy", "x", 33},
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{"foofyfoobarfoobar", "y", 4},
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{"oooooooooooooooooooooo", "r", -1},
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// test fallback to Rabin-Karp.
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{"oxoxoxoxoxoxoxoxoxoxoxoy", "oy", 22},
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{"oxoxoxoxoxoxoxoxoxoxoxox", "oy", -1},
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}
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var lastIndexTests = []BinOpTest{
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@ -1730,3 +1733,18 @@ func BenchmarkTrimASCII(b *testing.B) {
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}
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}
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}
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func BenchmarkIndexPeriodic(b *testing.B) {
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key := []byte{1, 1}
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for _, skip := range [...]int{2, 4, 8, 16, 32, 64} {
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b.Run(fmt.Sprintf("IndexPeriodic%d", skip), func(b *testing.B) {
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buf := make([]byte, 1<<16)
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for i := 0; i < len(buf); i += skip {
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buf[i] = 1
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}
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for i := 0; i < b.N; i++ {
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Index(buf, key)
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}
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})
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}
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}
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@ -918,3 +918,27 @@ func EqualFold(s, t string) bool {
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// One string is empty. Are both?
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return s == t
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}
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func indexRabinKarp(s, substr string) int {
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// Rabin-Karp search
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hashss, pow := hashStr(substr)
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n := len(substr)
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var h uint32
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for i := 0; i < n; i++ {
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h = h*primeRK + uint32(s[i])
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}
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if h == hashss && s[:n] == substr {
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return 0
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}
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for i := n; i < len(s); {
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h *= primeRK
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h += uint32(s[i])
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h -= pow * uint32(s[i-n])
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i++
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if h == hashss && s[i-n:i] == substr {
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return i - n
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}
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}
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return -1
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}
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}
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return -1
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}
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// Rabin-Karp search
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hashss, pow := hashStr(substr)
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var h uint32
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for i := 0; i < n; i++ {
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h = h*primeRK + uint32(s[i])
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}
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if h == hashss && s[:n] == substr {
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return 0
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}
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for i := n; i < len(s); {
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h *= primeRK
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h += uint32(s[i])
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h -= pow * uint32(s[i-n])
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i++
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if h == hashss && s[i-n:i] == substr {
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return i - n
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}
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}
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return -1
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return indexRabinKarp(s, substr)
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}
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// Count counts the number of non-overlapping instances of substr in s.
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@ -25,22 +25,30 @@ func Index(s, substr string) int {
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case n > len(s):
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return -1
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}
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// Rabin-Karp search
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hashss, pow := hashStr(substr)
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var h uint32
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for i := 0; i < n; i++ {
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h = h*primeRK + uint32(s[i])
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c := substr[0]
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i := 0
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t := s[:len(s)-n+1]
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fails := 0
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for i < len(t) {
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if t[i] != c {
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o := IndexByte(t[i:], c)
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if o < 0 {
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return -1
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}
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if h == hashss && s[:n] == substr {
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return 0
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i += o
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}
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if s[i:i+n] == substr {
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return i
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}
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for i := n; i < len(s); {
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h *= primeRK
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h += uint32(s[i])
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h -= pow * uint32(s[i-n])
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i++
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if h == hashss && s[i-n:i] == substr {
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return i - n
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fails++
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if fails >= 4+i>>4 && i < len(t) {
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// See comment in ../bytes/bytes_generic.go.
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j := indexRabinKarp(s[i:], substr)
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if j < 0 {
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return -1
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}
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return i + j
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}
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}
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return -1
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@ -76,25 +76,7 @@ func Index(s, substr string) int {
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}
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return -1
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}
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// Rabin-Karp search
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hashss, pow := hashStr(substr)
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var h uint32
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for i := 0; i < n; i++ {
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h = h*primeRK + uint32(s[i])
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}
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if h == hashss && s[:n] == substr {
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return 0
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}
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for i := n; i < len(s); {
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h *= primeRK
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h += uint32(s[i])
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h -= pow * uint32(s[i-n])
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i++
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if h == hashss && s[i-n:i] == substr {
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return i - n
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}
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}
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return -1
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return indexRabinKarp(s, substr)
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}
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// Count counts the number of non-overlapping instances of substr in s.
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@ -125,6 +125,9 @@ var indexTests = []IndexTest{
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{"xx012345678901234567890123456789012345678901234567890123456789012"[:41], "0123456789012345678901234567890123456789", -1},
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{"xx012345678901234567890123456789012345678901234567890123456789012", "0123456789012345678901234567890123456xxx", -1},
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{"xx0123456789012345678901234567890123456789012345678901234567890120123456789012345678901234567890123456xxx", "0123456789012345678901234567890123456xxx", 65},
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// test fallback to Rabin-Karp.
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{"oxoxoxoxoxoxoxoxoxoxoxoy", "oy", 22},
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{"oxoxoxoxoxoxoxoxoxoxoxox", "oy", -1},
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}
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var lastIndexTests = []IndexTest{
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@ -1641,3 +1644,15 @@ func BenchmarkTrimASCII(b *testing.B) {
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}
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}
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}
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func BenchmarkIndexPeriodic(b *testing.B) {
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key := "aa"
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for _, skip := range [...]int{2, 4, 8, 16, 32, 64} {
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b.Run(fmt.Sprintf("IndexPeriodic%d", skip), func(b *testing.B) {
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s := Repeat("a"+Repeat(" ", skip-1), 1<<16/skip)
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for i := 0; i < b.N; i++ {
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Index(s, key)
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}
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})
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}
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}
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