package bits
import "math/bits"
Package bits implements bit counting and manipulation functions for the predeclared unsigned integer types.
Functions in this package may be implemented directly by the compiler, for better performance. For those functions the code in this package will not be used. Which functions are implemented by the compiler depends on the architecture and the Go release.
Index
- Constants
- func Add(x, y, carry uint) (sum, carryOut uint)
- func Add32(x, y, carry uint32) (sum, carryOut uint32)
- func Add64(x, y, carry uint64) (sum, carryOut uint64)
- func Div(hi, lo, y uint) (quo, rem uint)
- func Div32(hi, lo, y uint32) (quo, rem uint32)
- func Div64(hi, lo, y uint64) (quo, rem uint64)
- func LeadingZeros(x uint) int
- func LeadingZeros16(x uint16) int
- func LeadingZeros32(x uint32) int
- func LeadingZeros64(x uint64) int
- func LeadingZeros8(x uint8) int
- func Len(x uint) int
- func Len16(x uint16) (n int)
- func Len32(x uint32) (n int)
- func Len64(x uint64) (n int)
- func Len8(x uint8) int
- func Mul(x, y uint) (hi, lo uint)
- func Mul32(x, y uint32) (hi, lo uint32)
- func Mul64(x, y uint64) (hi, lo uint64)
- func OnesCount(x uint) int
- func OnesCount16(x uint16) int
- func OnesCount32(x uint32) int
- func OnesCount64(x uint64) int
- func OnesCount8(x uint8) int
- func Rem(hi, lo, y uint) uint
- func Rem32(hi, lo, y uint32) uint32
- func Rem64(hi, lo, y uint64) uint64
- func Reverse(x uint) uint
- func Reverse16(x uint16) uint16
- func Reverse32(x uint32) uint32
- func Reverse64(x uint64) uint64
- func Reverse8(x uint8) uint8
- func ReverseBytes(x uint) uint
- func ReverseBytes16(x uint16) uint16
- func ReverseBytes32(x uint32) uint32
- func ReverseBytes64(x uint64) uint64
- func RotateLeft(x uint, k int) uint
- func RotateLeft16(x uint16, k int) uint16
- func RotateLeft32(x uint32, k int) uint32
- func RotateLeft64(x uint64, k int) uint64
- func RotateLeft8(x uint8, k int) uint8
- func Sub(x, y, borrow uint) (diff, borrowOut uint)
- func Sub32(x, y, borrow uint32) (diff, borrowOut uint32)
- func Sub64(x, y, borrow uint64) (diff, borrowOut uint64)
- func TrailingZeros(x uint) int
- func TrailingZeros16(x uint16) int
- func TrailingZeros32(x uint32) int
- func TrailingZeros64(x uint64) int
- func TrailingZeros8(x uint8) int
Examples
- Add32
- Add64
- Div32
- Div64
- LeadingZeros16
- LeadingZeros32
- LeadingZeros64
- LeadingZeros8
- Len16
- Len32
- Len64
- Len8
- Mul32
- Mul64
- OnesCount
- OnesCount16
- OnesCount32
- OnesCount64
- OnesCount8
- Reverse16
- Reverse32
- Reverse64
- Reverse8
- ReverseBytes16
- ReverseBytes32
- ReverseBytes64
- RotateLeft16
- RotateLeft32
- RotateLeft64
- RotateLeft8
- Sub32
- Sub64
- TrailingZeros16
- TrailingZeros32
- TrailingZeros64
- TrailingZeros8
Constants
const UintSize = uintSize
UintSize is the size of a uint in bits.
Functions
func Add
func Add(x, y, carry uint) (sum, carryOut uint)
Add returns the sum with carry of x, y and carry: sum = x + y + carry. The carry input must be 0 or 1; otherwise the behavior is undefined. The carryOut output is guaranteed to be 0 or 1.
This function's execution time does not depend on the inputs.
func Add32
func Add32(x, y, carry uint32) (sum, carryOut uint32)
Add32 returns the sum with carry of x, y and carry: sum = x + y + carry. The carry input must be 0 or 1; otherwise the behavior is undefined. The carryOut output is guaranteed to be 0 or 1.
This function's execution time does not depend on the inputs.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
// First number is 33<<32 + 12
n1 := []uint32{33, 12}
// Second number is 21<<32 + 23
n2 := []uint32{21, 23}
// Add them together without producing carry.
d1, carry := bits.Add32(n1[1], n2[1], 0)
d0, _ := bits.Add32(n1[0], n2[0], carry)
nsum := []uint32{d0, d1}
fmt.Printf("%v + %v = %v (carry bit was %v)\n", n1, n2, nsum, carry)
// First number is 1<<32 + 2147483648
n1 = []uint32{1, 0x80000000}
// Second number is 1<<32 + 2147483648
n2 = []uint32{1, 0x80000000}
// Add them together producing carry.
d1, carry = bits.Add32(n1[1], n2[1], 0)
d0, _ = bits.Add32(n1[0], n2[0], carry)
nsum = []uint32{d0, d1}
fmt.Printf("%v + %v = %v (carry bit was %v)\n", n1, n2, nsum, carry)
}
[33 12] + [21 23] = [54 35] (carry bit was 0)
[1 2147483648] + [1 2147483648] = [3 0] (carry bit was 1)
func Add64
func Add64(x, y, carry uint64) (sum, carryOut uint64)
Add64 returns the sum with carry of x, y and carry: sum = x + y + carry. The carry input must be 0 or 1; otherwise the behavior is undefined. The carryOut output is guaranteed to be 0 or 1.
This function's execution time does not depend on the inputs.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
// First number is 33<<64 + 12
n1 := []uint64{33, 12}
// Second number is 21<<64 + 23
n2 := []uint64{21, 23}
// Add them together without producing carry.
d1, carry := bits.Add64(n1[1], n2[1], 0)
d0, _ := bits.Add64(n1[0], n2[0], carry)
nsum := []uint64{d0, d1}
fmt.Printf("%v + %v = %v (carry bit was %v)\n", n1, n2, nsum, carry)
// First number is 1<<64 + 9223372036854775808
n1 = []uint64{1, 0x8000000000000000}
// Second number is 1<<64 + 9223372036854775808
n2 = []uint64{1, 0x8000000000000000}
// Add them together producing carry.
d1, carry = bits.Add64(n1[1], n2[1], 0)
d0, _ = bits.Add64(n1[0], n2[0], carry)
nsum = []uint64{d0, d1}
fmt.Printf("%v + %v = %v (carry bit was %v)\n", n1, n2, nsum, carry)
}
[33 12] + [21 23] = [54 35] (carry bit was 0)
[1 9223372036854775808] + [1 9223372036854775808] = [3 0] (carry bit was 1)
func Div
func Div(hi, lo, y uint) (quo, rem uint)
Div returns the quotient and remainder of (hi, lo) divided by y: quo = (hi, lo)/y, rem = (hi, lo)%y with the dividend bits' upper half in parameter hi and the lower half in parameter lo. Div panics for y == 0 (division by zero) or y <= hi (quotient overflow).
func Div32
func Div32(hi, lo, y uint32) (quo, rem uint32)
Div32 returns the quotient and remainder of (hi, lo) divided by y:
quo = (hi, lo)/y, rem = (hi, lo)%y with the dividend bits' upper
half in parameter hi and the lower half in parameter lo.
Div32 panics for y == 0 (division by zero) or y <= hi (quotient overflow).
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
// First number is 0<<32 + 6
n1 := []uint32{0, 6}
// Second number is 0<<32 + 3
n2 := []uint32{0, 3}
// Divide them together.
quo, rem := bits.Div32(n1[0], n1[1], n2[1])
nsum := []uint32{quo, rem}
fmt.Printf("[%v %v] / %v = %v\n", n1[0], n1[1], n2[1], nsum)
// First number is 2<<32 + 2147483648
n1 = []uint32{2, 0x80000000}
// Second number is 0<<32 + 2147483648
n2 = []uint32{0, 0x80000000}
// Divide them together.
quo, rem = bits.Div32(n1[0], n1[1], n2[1])
nsum = []uint32{quo, rem}
fmt.Printf("[%v %v] / %v = %v\n", n1[0], n1[1], n2[1], nsum)
}
[0 6] / 3 = [2 0]
[2 2147483648] / 2147483648 = [5 0]
func Div64
func Div64(hi, lo, y uint64) (quo, rem uint64)
Div64 returns the quotient and remainder of (hi, lo) divided by y:
quo = (hi, lo)/y, rem = (hi, lo)%y with the dividend bits' upper
half in parameter hi and the lower half in parameter lo.
Div64 panics for y == 0 (division by zero) or y <= hi (quotient overflow).
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
// First number is 0<<64 + 6
n1 := []uint64{0, 6}
// Second number is 0<<64 + 3
n2 := []uint64{0, 3}
// Divide them together.
quo, rem := bits.Div64(n1[0], n1[1], n2[1])
nsum := []uint64{quo, rem}
fmt.Printf("[%v %v] / %v = %v\n", n1[0], n1[1], n2[1], nsum)
// First number is 2<<64 + 9223372036854775808
n1 = []uint64{2, 0x8000000000000000}
// Second number is 0<<64 + 9223372036854775808
n2 = []uint64{0, 0x8000000000000000}
// Divide them together.
quo, rem = bits.Div64(n1[0], n1[1], n2[1])
nsum = []uint64{quo, rem}
fmt.Printf("[%v %v] / %v = %v\n", n1[0], n1[1], n2[1], nsum)
}
[0 6] / 3 = [2 0]
[2 9223372036854775808] / 9223372036854775808 = [5 0]
func LeadingZeros
func LeadingZeros(x uint) int
LeadingZeros returns the number of leading zero bits in x; the result is UintSize for x == 0.
func LeadingZeros16
func LeadingZeros16(x uint16) int
LeadingZeros16 returns the number of leading zero bits in x; the result is 16 for x == 0.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("LeadingZeros16(%016b) = %d\n", 1, bits.LeadingZeros16(1))
}
LeadingZeros16(0000000000000001) = 15
func LeadingZeros32
func LeadingZeros32(x uint32) int
LeadingZeros32 returns the number of leading zero bits in x; the result is 32 for x == 0.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("LeadingZeros32(%032b) = %d\n", 1, bits.LeadingZeros32(1))
}
LeadingZeros32(00000000000000000000000000000001) = 31
func LeadingZeros64
func LeadingZeros64(x uint64) int
LeadingZeros64 returns the number of leading zero bits in x; the result is 64 for x == 0.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("LeadingZeros64(%064b) = %d\n", 1, bits.LeadingZeros64(1))
}
LeadingZeros64(0000000000000000000000000000000000000000000000000000000000000001) = 63
func LeadingZeros8
func LeadingZeros8(x uint8) int
LeadingZeros8 returns the number of leading zero bits in x; the result is 8 for x == 0.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("LeadingZeros8(%08b) = %d\n", 1, bits.LeadingZeros8(1))
}
LeadingZeros8(00000001) = 7
func Len
func Len(x uint) int
Len returns the minimum number of bits required to represent x; the result is 0 for x == 0.
func Len16
func Len16(x uint16) (n int)
Len16 returns the minimum number of bits required to represent x; the result is 0 for x == 0.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("Len16(%016b) = %d\n", 8, bits.Len16(8))
}
Len16(0000000000001000) = 4
func Len32
func Len32(x uint32) (n int)
Len32 returns the minimum number of bits required to represent x; the result is 0 for x == 0.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("Len32(%032b) = %d\n", 8, bits.Len32(8))
}
Len32(00000000000000000000000000001000) = 4
func Len64
func Len64(x uint64) (n int)
Len64 returns the minimum number of bits required to represent x; the result is 0 for x == 0.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("Len64(%064b) = %d\n", 8, bits.Len64(8))
}
Len64(0000000000000000000000000000000000000000000000000000000000001000) = 4
func Len8
func Len8(x uint8) int
Len8 returns the minimum number of bits required to represent x; the result is 0 for x == 0.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("Len8(%08b) = %d\n", 8, bits.Len8(8))
}
Len8(00001000) = 4
func Mul
func Mul(x, y uint) (hi, lo uint)
Mul returns the full-width product of x and y: (hi, lo) = x * y with the product bits' upper half returned in hi and the lower half returned in lo.
This function's execution time does not depend on the inputs.
func Mul32
func Mul32(x, y uint32) (hi, lo uint32)
Mul32 returns the 64-bit product of x and y: (hi, lo) = x * y with the product bits' upper half returned in hi and the lower half returned in lo.
This function's execution time does not depend on the inputs.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
// First number is 0<<32 + 12
n1 := []uint32{0, 12}
// Second number is 0<<32 + 12
n2 := []uint32{0, 12}
// Multiply them together without producing overflow.
hi, lo := bits.Mul32(n1[1], n2[1])
nsum := []uint32{hi, lo}
fmt.Printf("%v * %v = %v\n", n1[1], n2[1], nsum)
// First number is 0<<32 + 2147483648
n1 = []uint32{0, 0x80000000}
// Second number is 0<<32 + 2
n2 = []uint32{0, 2}
// Multiply them together producing overflow.
hi, lo = bits.Mul32(n1[1], n2[1])
nsum = []uint32{hi, lo}
fmt.Printf("%v * %v = %v\n", n1[1], n2[1], nsum)
}
12 * 12 = [0 144]
2147483648 * 2 = [1 0]
func Mul64
func Mul64(x, y uint64) (hi, lo uint64)
Mul64 returns the 128-bit product of x and y: (hi, lo) = x * y with the product bits' upper half returned in hi and the lower half returned in lo.
This function's execution time does not depend on the inputs.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
// First number is 0<<64 + 12
n1 := []uint64{0, 12}
// Second number is 0<<64 + 12
n2 := []uint64{0, 12}
// Multiply them together without producing overflow.
hi, lo := bits.Mul64(n1[1], n2[1])
nsum := []uint64{hi, lo}
fmt.Printf("%v * %v = %v\n", n1[1], n2[1], nsum)
// First number is 0<<64 + 9223372036854775808
n1 = []uint64{0, 0x8000000000000000}
// Second number is 0<<64 + 2
n2 = []uint64{0, 2}
// Multiply them together producing overflow.
hi, lo = bits.Mul64(n1[1], n2[1])
nsum = []uint64{hi, lo}
fmt.Printf("%v * %v = %v\n", n1[1], n2[1], nsum)
}
12 * 12 = [0 144]
9223372036854775808 * 2 = [1 0]
func OnesCount
func OnesCount(x uint) int
OnesCount returns the number of one bits ("population count") in x.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("OnesCount(%b) = %d\n", 14, bits.OnesCount(14))
}
OnesCount(1110) = 3
func OnesCount16
func OnesCount16(x uint16) int
OnesCount16 returns the number of one bits ("population count") in x.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("OnesCount16(%016b) = %d\n", 14, bits.OnesCount16(14))
}
OnesCount16(0000000000001110) = 3
func OnesCount32
func OnesCount32(x uint32) int
OnesCount32 returns the number of one bits ("population count") in x.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("OnesCount32(%032b) = %d\n", 14, bits.OnesCount32(14))
}
OnesCount32(00000000000000000000000000001110) = 3
func OnesCount64
func OnesCount64(x uint64) int
OnesCount64 returns the number of one bits ("population count") in x.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("OnesCount64(%064b) = %d\n", 14, bits.OnesCount64(14))
}
OnesCount64(0000000000000000000000000000000000000000000000000000000000001110) = 3
func OnesCount8
func OnesCount8(x uint8) int
OnesCount8 returns the number of one bits ("population count") in x.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("OnesCount8(%08b) = %d\n", 14, bits.OnesCount8(14))
}
OnesCount8(00001110) = 3
func Rem
func Rem(hi, lo, y uint) uint
Rem returns the remainder of (hi, lo) divided by y. Rem panics for y == 0 (division by zero) but, unlike Div, it doesn't panic on a quotient overflow.
func Rem32
func Rem32(hi, lo, y uint32) uint32
Rem32 returns the remainder of (hi, lo) divided by y. Rem32 panics for y == 0 (division by zero) but, unlike Div32, it doesn't panic on a quotient overflow.
func Rem64
func Rem64(hi, lo, y uint64) uint64
Rem64 returns the remainder of (hi, lo) divided by y. Rem64 panics for y == 0 (division by zero) but, unlike Div64, it doesn't panic on a quotient overflow.
func Reverse
func Reverse(x uint) uint
Reverse returns the value of x with its bits in reversed order.
func Reverse16
func Reverse16(x uint16) uint16
Reverse16 returns the value of x with its bits in reversed order.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("%016b\n", 19)
fmt.Printf("%016b\n", bits.Reverse16(19))
}
0000000000010011
1100100000000000
func Reverse32
func Reverse32(x uint32) uint32
Reverse32 returns the value of x with its bits in reversed order.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("%032b\n", 19)
fmt.Printf("%032b\n", bits.Reverse32(19))
}
00000000000000000000000000010011
11001000000000000000000000000000
func Reverse64
func Reverse64(x uint64) uint64
Reverse64 returns the value of x with its bits in reversed order.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("%064b\n", 19)
fmt.Printf("%064b\n", bits.Reverse64(19))
}
0000000000000000000000000000000000000000000000000000000000010011
1100100000000000000000000000000000000000000000000000000000000000
func Reverse8
func Reverse8(x uint8) uint8
Reverse8 returns the value of x with its bits in reversed order.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("%08b\n", 19)
fmt.Printf("%08b\n", bits.Reverse8(19))
}
00010011
11001000
func ReverseBytes
func ReverseBytes(x uint) uint
ReverseBytes returns the value of x with its bytes in reversed order.
This function's execution time does not depend on the inputs.
func ReverseBytes16
func ReverseBytes16(x uint16) uint16
ReverseBytes16 returns the value of x with its bytes in reversed order.
This function's execution time does not depend on the inputs.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("%016b\n", 15)
fmt.Printf("%016b\n", bits.ReverseBytes16(15))
}
0000000000001111
0000111100000000
func ReverseBytes32
func ReverseBytes32(x uint32) uint32
ReverseBytes32 returns the value of x with its bytes in reversed order.
This function's execution time does not depend on the inputs.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("%032b\n", 15)
fmt.Printf("%032b\n", bits.ReverseBytes32(15))
}
00000000000000000000000000001111
00001111000000000000000000000000
func ReverseBytes64
func ReverseBytes64(x uint64) uint64
ReverseBytes64 returns the value of x with its bytes in reversed order.
This function's execution time does not depend on the inputs.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("%064b\n", 15)
fmt.Printf("%064b\n", bits.ReverseBytes64(15))
}
0000000000000000000000000000000000000000000000000000000000001111
0000111100000000000000000000000000000000000000000000000000000000
func RotateLeft
func RotateLeft(x uint, k int) uint
RotateLeft returns the value of x rotated left by (k mod UintSize) bits. To rotate x right by k bits, call RotateLeft(x, -k).
This function's execution time does not depend on the inputs.
func RotateLeft16
func RotateLeft16(x uint16, k int) uint16
RotateLeft16 returns the value of x rotated left by (k mod 16) bits. To rotate x right by k bits, call RotateLeft16(x, -k).
This function's execution time does not depend on the inputs.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("%016b\n", 15)
fmt.Printf("%016b\n", bits.RotateLeft16(15, 2))
fmt.Printf("%016b\n", bits.RotateLeft16(15, -2))
}
0000000000001111
0000000000111100
1100000000000011
func RotateLeft32
func RotateLeft32(x uint32, k int) uint32
RotateLeft32 returns the value of x rotated left by (k mod 32) bits. To rotate x right by k bits, call RotateLeft32(x, -k).
This function's execution time does not depend on the inputs.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("%032b\n", 15)
fmt.Printf("%032b\n", bits.RotateLeft32(15, 2))
fmt.Printf("%032b\n", bits.RotateLeft32(15, -2))
}
00000000000000000000000000001111
00000000000000000000000000111100
11000000000000000000000000000011
func RotateLeft64
func RotateLeft64(x uint64, k int) uint64
RotateLeft64 returns the value of x rotated left by (k mod 64) bits. To rotate x right by k bits, call RotateLeft64(x, -k).
This function's execution time does not depend on the inputs.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("%064b\n", 15)
fmt.Printf("%064b\n", bits.RotateLeft64(15, 2))
fmt.Printf("%064b\n", bits.RotateLeft64(15, -2))
}
0000000000000000000000000000000000000000000000000000000000001111
0000000000000000000000000000000000000000000000000000000000111100
1100000000000000000000000000000000000000000000000000000000000011
func RotateLeft8
func RotateLeft8(x uint8, k int) uint8
RotateLeft8 returns the value of x rotated left by (k mod 8) bits. To rotate x right by k bits, call RotateLeft8(x, -k).
This function's execution time does not depend on the inputs.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("%08b\n", 15)
fmt.Printf("%08b\n", bits.RotateLeft8(15, 2))
fmt.Printf("%08b\n", bits.RotateLeft8(15, -2))
}
00001111
00111100
11000011
func Sub
func Sub(x, y, borrow uint) (diff, borrowOut uint)
Sub returns the difference of x, y and borrow: diff = x - y - borrow. The borrow input must be 0 or 1; otherwise the behavior is undefined. The borrowOut output is guaranteed to be 0 or 1.
This function's execution time does not depend on the inputs.
func Sub32
func Sub32(x, y, borrow uint32) (diff, borrowOut uint32)
Sub32 returns the difference of x, y and borrow, diff = x - y - borrow. The borrow input must be 0 or 1; otherwise the behavior is undefined. The borrowOut output is guaranteed to be 0 or 1.
This function's execution time does not depend on the inputs.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
// First number is 33<<32 + 23
n1 := []uint32{33, 23}
// Second number is 21<<32 + 12
n2 := []uint32{21, 12}
// Sub them together without producing carry.
d1, carry := bits.Sub32(n1[1], n2[1], 0)
d0, _ := bits.Sub32(n1[0], n2[0], carry)
nsum := []uint32{d0, d1}
fmt.Printf("%v - %v = %v (carry bit was %v)\n", n1, n2, nsum, carry)
// First number is 3<<32 + 2147483647
n1 = []uint32{3, 0x7fffffff}
// Second number is 1<<32 + 2147483648
n2 = []uint32{1, 0x80000000}
// Sub them together producing carry.
d1, carry = bits.Sub32(n1[1], n2[1], 0)
d0, _ = bits.Sub32(n1[0], n2[0], carry)
nsum = []uint32{d0, d1}
fmt.Printf("%v - %v = %v (carry bit was %v)\n", n1, n2, nsum, carry)
}
[33 23] - [21 12] = [12 11] (carry bit was 0)
[3 2147483647] - [1 2147483648] = [1 4294967295] (carry bit was 1)
func Sub64
func Sub64(x, y, borrow uint64) (diff, borrowOut uint64)
Sub64 returns the difference of x, y and borrow: diff = x - y - borrow. The borrow input must be 0 or 1; otherwise the behavior is undefined. The borrowOut output is guaranteed to be 0 or 1.
This function's execution time does not depend on the inputs.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
// First number is 33<<64 + 23
n1 := []uint64{33, 23}
// Second number is 21<<64 + 12
n2 := []uint64{21, 12}
// Sub them together without producing carry.
d1, carry := bits.Sub64(n1[1], n2[1], 0)
d0, _ := bits.Sub64(n1[0], n2[0], carry)
nsum := []uint64{d0, d1}
fmt.Printf("%v - %v = %v (carry bit was %v)\n", n1, n2, nsum, carry)
// First number is 3<<64 + 9223372036854775807
n1 = []uint64{3, 0x7fffffffffffffff}
// Second number is 1<<64 + 9223372036854775808
n2 = []uint64{1, 0x8000000000000000}
// Sub them together producing carry.
d1, carry = bits.Sub64(n1[1], n2[1], 0)
d0, _ = bits.Sub64(n1[0], n2[0], carry)
nsum = []uint64{d0, d1}
fmt.Printf("%v - %v = %v (carry bit was %v)\n", n1, n2, nsum, carry)
}
[33 23] - [21 12] = [12 11] (carry bit was 0)
[3 9223372036854775807] - [1 9223372036854775808] = [1 18446744073709551615] (carry bit was 1)
func TrailingZeros
func TrailingZeros(x uint) int
TrailingZeros returns the number of trailing zero bits in x; the result is UintSize for x == 0.
func TrailingZeros16
func TrailingZeros16(x uint16) int
TrailingZeros16 returns the number of trailing zero bits in x; the result is 16 for x == 0.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("TrailingZeros16(%016b) = %d\n", 14, bits.TrailingZeros16(14))
}
TrailingZeros16(0000000000001110) = 1
func TrailingZeros32
func TrailingZeros32(x uint32) int
TrailingZeros32 returns the number of trailing zero bits in x; the result is 32 for x == 0.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("TrailingZeros32(%032b) = %d\n", 14, bits.TrailingZeros32(14))
}
TrailingZeros32(00000000000000000000000000001110) = 1
func TrailingZeros64
func TrailingZeros64(x uint64) int
TrailingZeros64 returns the number of trailing zero bits in x; the result is 64 for x == 0.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("TrailingZeros64(%064b) = %d\n", 14, bits.TrailingZeros64(14))
}
TrailingZeros64(0000000000000000000000000000000000000000000000000000000000001110) = 1
func TrailingZeros8
func TrailingZeros8(x uint8) int
TrailingZeros8 returns the number of trailing zero bits in x; the result is 8 for x == 0.
Output:Example
package main
import (
"fmt"
"math/bits"
)
func main() {
fmt.Printf("TrailingZeros8(%08b) = %d\n", 14, bits.TrailingZeros8(14))
}
TrailingZeros8(00001110) = 1