summaryrefslogtreecommitdiff
path: root/libgo/go/runtime/internal
diff options
context:
space:
mode:
authorIan Lance Taylor <iant@golang.org>2020-01-02 15:05:27 -0800
committerIan Lance Taylor <iant@golang.org>2020-01-21 23:53:22 -0800
commit5a8ea165926cb0737ab03bc48c18dc5198ab5305 (patch)
tree962dc3357c57f019f85658f99e2e753e30201c27 /libgo/go/runtime/internal
parent6ac6529e155c9baa0aaaed7aca06bd38ebda5b43 (diff)
libgo: update to Go1.14beta1
Reviewed-on: https://go-review.googlesource.com/c/gofrontend/+/214297
Diffstat (limited to 'libgo/go/runtime/internal')
-rw-r--r--libgo/go/runtime/internal/atomic/atomic.c20
-rw-r--r--libgo/go/runtime/internal/atomic/atomic_test.go127
-rw-r--r--libgo/go/runtime/internal/atomic/bench_test.go40
-rw-r--r--libgo/go/runtime/internal/atomic/gccgo.go6
-rw-r--r--libgo/go/runtime/internal/sys/intrinsics.go19
-rw-r--r--libgo/go/runtime/internal/sys/intrinsics_common.go143
6 files changed, 328 insertions, 27 deletions
diff --git a/libgo/go/runtime/internal/atomic/atomic.c b/libgo/go/runtime/internal/atomic/atomic.c
index 17c83a28c1c..8ae4d7b619d 100644
--- a/libgo/go/runtime/internal/atomic/atomic.c
+++ b/libgo/go/runtime/internal/atomic/atomic.c
@@ -26,6 +26,16 @@ Loadp (void *ptr)
return __atomic_load_n ((void **) ptr, __ATOMIC_SEQ_CST);
}
+uint8_t Load8 (uint8_t *ptr)
+ __asm__ (GOSYM_PREFIX "runtime..z2finternal..z2fatomic.Load8")
+ __attribute__ ((no_split_stack));
+
+uint8_t
+Load8 (uint8_t *ptr)
+{
+ return __atomic_load_n (ptr, __ATOMIC_SEQ_CST);
+}
+
uint64_t Load64 (uint64_t *ptr)
__asm__ (GOSYM_PREFIX "runtime..z2finternal..z2fatomic.Load64")
__attribute__ ((no_split_stack));
@@ -238,6 +248,16 @@ Store (uint32_t *ptr, uint32_t val)
__atomic_store_n (ptr, val, __ATOMIC_SEQ_CST);
}
+void Store8 (uint8_t *ptr, uint8_t val)
+ __asm__ (GOSYM_PREFIX "runtime..z2finternal..z2fatomic.Store8")
+ __attribute__ ((no_split_stack));
+
+void
+Store8 (uint8_t *ptr, uint8_t val)
+{
+ __atomic_store_n (ptr, val, __ATOMIC_SEQ_CST);
+}
+
void Store64 (uint64_t *ptr, uint64_t val)
__asm__ (GOSYM_PREFIX "runtime..z2finternal..z2fatomic.Store64")
__attribute__ ((no_split_stack));
diff --git a/libgo/go/runtime/internal/atomic/atomic_test.go b/libgo/go/runtime/internal/atomic/atomic_test.go
index 0ba75447e8c..0c1125c5583 100644
--- a/libgo/go/runtime/internal/atomic/atomic_test.go
+++ b/libgo/go/runtime/internal/atomic/atomic_test.go
@@ -86,14 +86,8 @@ func TestUnaligned64(t *testing.T) {
// a continual source of pain. Test that on 32-bit systems they crash
// instead of failing silently.
- switch runtime.GOARCH {
- default:
- if unsafe.Sizeof(int(0)) != 4 {
- t.Skip("test only runs on 32-bit systems")
- }
- case "amd64p32":
- // amd64p32 can handle unaligned atomics.
- t.Skipf("test not needed on %v", runtime.GOARCH)
+ if unsafe.Sizeof(int(0)) != 4 {
+ t.Skip("test only runs on 32-bit systems")
}
x := make([]uint32, 4)
@@ -109,3 +103,120 @@ func TestUnaligned64(t *testing.T) {
shouldPanic(t, "Xchg64", func() { atomic.Xchg64(up64, 1) })
shouldPanic(t, "Cas64", func() { atomic.Cas64(up64, 1, 2) })
}
+
+func TestAnd8(t *testing.T) {
+ // Basic sanity check.
+ x := uint8(0xff)
+ for i := uint8(0); i < 8; i++ {
+ atomic.And8(&x, ^(1 << i))
+ if r := uint8(0xff) << (i + 1); x != r {
+ t.Fatalf("clearing bit %#x: want %#x, got %#x", uint8(1<<i), r, x)
+ }
+ }
+
+ // Set every bit in array to 1.
+ a := make([]uint8, 1<<12)
+ for i := range a {
+ a[i] = 0xff
+ }
+
+ // Clear array bit-by-bit in different goroutines.
+ done := make(chan bool)
+ for i := 0; i < 8; i++ {
+ m := ^uint8(1 << i)
+ go func() {
+ for i := range a {
+ atomic.And8(&a[i], m)
+ }
+ done <- true
+ }()
+ }
+ for i := 0; i < 8; i++ {
+ <-done
+ }
+
+ // Check that the array has been totally cleared.
+ for i, v := range a {
+ if v != 0 {
+ t.Fatalf("a[%v] not cleared: want %#x, got %#x", i, uint8(0), v)
+ }
+ }
+}
+
+func TestOr8(t *testing.T) {
+ // Basic sanity check.
+ x := uint8(0)
+ for i := uint8(0); i < 8; i++ {
+ atomic.Or8(&x, 1<<i)
+ if r := (uint8(1) << (i + 1)) - 1; x != r {
+ t.Fatalf("setting bit %#x: want %#x, got %#x", uint8(1)<<i, r, x)
+ }
+ }
+
+ // Start with every bit in array set to 0.
+ a := make([]uint8, 1<<12)
+
+ // Set every bit in array bit-by-bit in different goroutines.
+ done := make(chan bool)
+ for i := 0; i < 8; i++ {
+ m := uint8(1 << i)
+ go func() {
+ for i := range a {
+ atomic.Or8(&a[i], m)
+ }
+ done <- true
+ }()
+ }
+ for i := 0; i < 8; i++ {
+ <-done
+ }
+
+ // Check that the array has been totally set.
+ for i, v := range a {
+ if v != 0xff {
+ t.Fatalf("a[%v] not fully set: want %#x, got %#x", i, uint8(0xff), v)
+ }
+ }
+}
+
+func TestBitwiseContended(t *testing.T) {
+ // Start with every bit in array set to 0.
+ a := make([]uint8, 16)
+
+ // Iterations to try.
+ N := 1 << 16
+ if testing.Short() {
+ N = 1 << 10
+ }
+
+ // Set and then clear every bit in the array bit-by-bit in different goroutines.
+ done := make(chan bool)
+ for i := 0; i < 8; i++ {
+ m := uint8(1 << i)
+ go func() {
+ for n := 0; n < N; n++ {
+ for i := range a {
+ atomic.Or8(&a[i], m)
+ if atomic.Load8(&a[i])&m != m {
+ t.Errorf("a[%v] bit %#x not set", i, m)
+ }
+ atomic.And8(&a[i], ^m)
+ if atomic.Load8(&a[i])&m != 0 {
+ t.Errorf("a[%v] bit %#x not clear", i, m)
+ }
+ }
+ }
+ done <- true
+ }()
+ }
+ for i := 0; i < 8; i++ {
+ <-done
+ }
+
+ // Check that the array has been totally cleared.
+ for i, v := range a {
+ if v != 0 {
+ t.Fatalf("a[%v] not cleared: want %#x, got %#x", i, uint8(0), v)
+ }
+ }
+}
diff --git a/libgo/go/runtime/internal/atomic/bench_test.go b/libgo/go/runtime/internal/atomic/bench_test.go
index 083a75cb075..de71b0f2c7b 100644
--- a/libgo/go/runtime/internal/atomic/bench_test.go
+++ b/libgo/go/runtime/internal/atomic/bench_test.go
@@ -43,6 +43,46 @@ func BenchmarkAtomicStore(b *testing.B) {
}
}
+func BenchmarkAnd8(b *testing.B) {
+ var x [512]uint8 // give byte its own cache line
+ sink = &x
+ for i := 0; i < b.N; i++ {
+ atomic.And8(&x[255], uint8(i))
+ }
+}
+
+func BenchmarkAnd8Parallel(b *testing.B) {
+ var x [512]uint8 // give byte its own cache line
+ sink = &x
+ b.RunParallel(func(pb *testing.PB) {
+ i := uint8(0)
+ for pb.Next() {
+ atomic.And8(&x[255], i)
+ i++
+ }
+ })
+}
+
+func BenchmarkOr8(b *testing.B) {
+ var x [512]uint8 // give byte its own cache line
+ sink = &x
+ for i := 0; i < b.N; i++ {
+ atomic.Or8(&x[255], uint8(i))
+ }
+}
+
+func BenchmarkOr8Parallel(b *testing.B) {
+ var x [512]uint8 // give byte its own cache line
+ sink = &x
+ b.RunParallel(func(pb *testing.PB) {
+ i := uint8(0)
+ for pb.Next() {
+ atomic.Or8(&x[255], i)
+ i++
+ }
+ })
+}
+
func BenchmarkXadd(b *testing.B) {
var x uint32
ptr := &x
diff --git a/libgo/go/runtime/internal/atomic/gccgo.go b/libgo/go/runtime/internal/atomic/gccgo.go
index e5edbfb17f1..4df83464636 100644
--- a/libgo/go/runtime/internal/atomic/gccgo.go
+++ b/libgo/go/runtime/internal/atomic/gccgo.go
@@ -15,6 +15,9 @@ func Load(ptr *uint32) uint32
func Loadp(ptr unsafe.Pointer) unsafe.Pointer
//go:noescape
+func Load8(ptr *uint8) uint8
+
+//go:noescape
func Load64(ptr *uint64) uint64
//go:noescape
@@ -56,6 +59,9 @@ func CasRel(ptr *uint32, old, new uint32) bool
func Store(ptr *uint32, val uint32)
//go:noescape
+func Store8(ptr *uint8, val uint8)
+
+//go:noescape
func Store64(ptr *uint64, val uint64)
//go:noescape
diff --git a/libgo/go/runtime/internal/sys/intrinsics.go b/libgo/go/runtime/internal/sys/intrinsics.go
index 6906938e574..d25f3507fc4 100644
--- a/libgo/go/runtime/internal/sys/intrinsics.go
+++ b/libgo/go/runtime/internal/sys/intrinsics.go
@@ -37,25 +37,6 @@ func Ctz8(x uint8) int {
return int(ntz8tab[x])
}
-var ntz8tab = [256]uint8{
- 0x08, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
- 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
- 0x05, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
- 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
- 0x06, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
- 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
- 0x05, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
- 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
- 0x07, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
- 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
- 0x05, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
- 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
- 0x06, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
- 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
- 0x05, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
- 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
-}
-
//extern __builtin_bswap64
func bswap64(uint64) uint64
diff --git a/libgo/go/runtime/internal/sys/intrinsics_common.go b/libgo/go/runtime/internal/sys/intrinsics_common.go
new file mode 100644
index 00000000000..818d75ecc53
--- /dev/null
+++ b/libgo/go/runtime/internal/sys/intrinsics_common.go
@@ -0,0 +1,143 @@
+// Copyright 2019 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package sys
+
+// Copied from math/bits to avoid dependence.
+
+var len8tab = [256]uint8{
+ 0x00, 0x01, 0x02, 0x02, 0x03, 0x03, 0x03, 0x03, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04,
+ 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05,
+ 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06,
+ 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06,
+ 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07,
+ 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07,
+ 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07,
+ 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07,
+ 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08,
+ 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08,
+ 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08,
+ 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08,
+ 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08,
+ 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08,
+ 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08,
+ 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08,
+}
+
+var ntz8tab = [256]uint8{
+ 0x08, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x05, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x06, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x05, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x07, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x05, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x06, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x05, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+}
+
+// len64 returns the minimum number of bits required to represent x; the result is 0 for x == 0.
+func Len64(x uint64) (n int) {
+ if x >= 1<<32 {
+ x >>= 32
+ n = 32
+ }
+ if x >= 1<<16 {
+ x >>= 16
+ n += 16
+ }
+ if x >= 1<<8 {
+ x >>= 8
+ n += 8
+ }
+ return n + int(len8tab[x])
+}
+
+// --- OnesCount ---
+
+const m0 = 0x5555555555555555 // 01010101 ...
+const m1 = 0x3333333333333333 // 00110011 ...
+const m2 = 0x0f0f0f0f0f0f0f0f // 00001111 ...
+
+// OnesCount64 returns the number of one bits ("population count") in x.
+func OnesCount64(x uint64) int {
+ // Implementation: Parallel summing of adjacent bits.
+ // See "Hacker's Delight", Chap. 5: Counting Bits.
+ // The following pattern shows the general approach:
+ //
+ // x = x>>1&(m0&m) + x&(m0&m)
+ // x = x>>2&(m1&m) + x&(m1&m)
+ // x = x>>4&(m2&m) + x&(m2&m)
+ // x = x>>8&(m3&m) + x&(m3&m)
+ // x = x>>16&(m4&m) + x&(m4&m)
+ // x = x>>32&(m5&m) + x&(m5&m)
+ // return int(x)
+ //
+ // Masking (& operations) can be left away when there's no
+ // danger that a field's sum will carry over into the next
+ // field: Since the result cannot be > 64, 8 bits is enough
+ // and we can ignore the masks for the shifts by 8 and up.
+ // Per "Hacker's Delight", the first line can be simplified
+ // more, but it saves at best one instruction, so we leave
+ // it alone for clarity.
+ const m = 1<<64 - 1
+ x = x>>1&(m0&m) + x&(m0&m)
+ x = x>>2&(m1&m) + x&(m1&m)
+ x = (x>>4 + x) & (m2 & m)
+ x += x >> 8
+ x += x >> 16
+ x += x >> 32
+ return int(x) & (1<<7 - 1)
+}
+
+var deBruijn64tab = [64]byte{
+ 0, 1, 56, 2, 57, 49, 28, 3, 61, 58, 42, 50, 38, 29, 17, 4,
+ 62, 47, 59, 36, 45, 43, 51, 22, 53, 39, 33, 30, 24, 18, 12, 5,
+ 63, 55, 48, 27, 60, 41, 37, 16, 46, 35, 44, 21, 52, 32, 23, 11,
+ 54, 26, 40, 15, 34, 20, 31, 10, 25, 14, 19, 9, 13, 8, 7, 6,
+}
+
+const deBruijn64 = 0x03f79d71b4ca8b09
+
+// TrailingZeros64 returns the number of trailing zero bits in x; the result is 64 for x == 0.
+func TrailingZeros64(x uint64) int {
+ if x == 0 {
+ return 64
+ }
+ // If popcount is fast, replace code below with return popcount(^x & (x - 1)).
+ //
+ // x & -x leaves only the right-most bit set in the word. Let k be the
+ // index of that bit. Since only a single bit is set, the value is two
+ // to the power of k. Multiplying by a power of two is equivalent to
+ // left shifting, in this case by k bits. The de Bruijn (64 bit) constant
+ // is such that all six bit, consecutive substrings are distinct.
+ // Therefore, if we have a left shifted version of this constant we can
+ // find by how many bits it was shifted by looking at which six bit
+ // substring ended up at the top of the word.
+ // (Knuth, volume 4, section 7.3.1)
+ return int(deBruijn64tab[(x&-x)*deBruijn64>>(64-6)])
+}
+
+// LeadingZeros64 returns the number of leading zero bits in x; the result is 64 for x == 0.
+func LeadingZeros64(x uint64) int { return 64 - Len64(x) }
+
+// LeadingZeros8 returns the number of leading zero bits in x; the result is 8 for x == 0.
+func LeadingZeros8(x uint8) int { return 8 - Len8(x) }
+
+// TrailingZeros8 returns the number of trailing zero bits in x; the result is 8 for x == 0.
+func TrailingZeros8(x uint8) int {
+ return int(ntz8tab[x])
+}
+
+// Len8 returns the minimum number of bits required to represent x; the result is 0 for x == 0.
+func Len8(x uint8) int {
+ return int(len8tab[x])
+}