code
stringlengths 11
335k
| docstring
stringlengths 20
11.8k
| func_name
stringlengths 1
100
| language
stringclasses 1
value | repo
stringclasses 245
values | path
stringlengths 4
144
| url
stringlengths 43
214
| license
stringclasses 4
values |
|---|---|---|---|---|---|---|---|
func (i *Iter) Init(f Form, src []byte) {
i.p = 0
if len(src) == 0 {
i.setDone()
i.rb.nsrc = 0
return
}
i.multiSeg = nil
i.rb.init(f, src)
i.next = i.rb.f.nextMain
i.asciiF = nextASCIIBytes
i.info = i.rb.f.info(i.rb.src, i.p)
i.rb.ss.first(i.info)
} | Init initializes i to iterate over src after normalizing it to Form f. | Init | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/iter.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/iter.go | BSD-3-Clause |
func (i *Iter) InitString(f Form, src string) {
i.p = 0
if len(src) == 0 {
i.setDone()
i.rb.nsrc = 0
return
}
i.multiSeg = nil
i.rb.initString(f, src)
i.next = i.rb.f.nextMain
i.asciiF = nextASCIIString
i.info = i.rb.f.info(i.rb.src, i.p)
i.rb.ss.first(i.info)
} | InitString initializes i to iterate over src after normalizing it to Form f. | InitString | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/iter.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/iter.go | BSD-3-Clause |
func (i *Iter) Seek(offset int64, whence int) (int64, error) {
var abs int64
switch whence {
case 0:
abs = offset
case 1:
abs = int64(i.p) + offset
case 2:
abs = int64(i.rb.nsrc) + offset
default:
return 0, fmt.Errorf("norm: invalid whence")
}
if abs < 0 {
return 0, fmt.Errorf("norm: negative position")
}
if int(abs) >= i.rb.nsrc {
i.setDone()
return int64(i.p), nil
}
i.p = int(abs)
i.multiSeg = nil
i.next = i.rb.f.nextMain
i.info = i.rb.f.info(i.rb.src, i.p)
i.rb.ss.first(i.info)
return abs, nil
} | Seek sets the segment to be returned by the next call to Next to start
at position p. It is the responsibility of the caller to set p to the
start of a segment. | Seek | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/iter.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/iter.go | BSD-3-Clause |
func (i *Iter) returnSlice(a, b int) []byte {
if i.rb.src.bytes == nil {
return i.buf[:copy(i.buf[:], i.rb.src.str[a:b])]
}
return i.rb.src.bytes[a:b]
} | returnSlice returns a slice of the underlying input type as a byte slice.
If the underlying is of type []byte, it will simply return a slice.
If the underlying is of type string, it will copy the slice to the buffer
and return that. | returnSlice | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/iter.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/iter.go | BSD-3-Clause |
func (i *Iter) Pos() int {
return i.p
} | Pos returns the byte position at which the next call to Next will commence processing. | Pos | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/iter.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/iter.go | BSD-3-Clause |
func (i *Iter) Done() bool {
return i.p >= i.rb.nsrc
} | Done returns true if there is no more input to process. | Done | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/iter.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/iter.go | BSD-3-Clause |
func (i *Iter) Next() []byte {
return i.next(i)
} | Next returns f(i.input[i.Pos():n]), where n is a boundary of i.input.
For any input a and b for which f(a) == f(b), subsequent calls
to Next will return the same segments.
Modifying runes are grouped together with the preceding starter, if such a starter exists.
Although not guaranteed, n will typically be the smallest possible n. | Next | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/iter.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/iter.go | BSD-3-Clause |
func nextMulti(i *Iter) []byte {
j := 0
d := i.multiSeg
// skip first rune
for j = 1; j < len(d) && !utf8.RuneStart(d[j]); j++ {
}
for j < len(d) {
info := i.rb.f.info(input{bytes: d}, j)
if info.BoundaryBefore() {
i.multiSeg = d[j:]
return d[:j]
}
j += int(info.size)
}
// treat last segment as normal decomposition
i.next = i.rb.f.nextMain
return i.next(i)
} | nextMulti is used for iterating over multi-segment decompositions
for decomposing normal forms. | nextMulti | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/iter.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/iter.go | BSD-3-Clause |
func nextMultiNorm(i *Iter) []byte {
j := 0
d := i.multiSeg
for j < len(d) {
info := i.rb.f.info(input{bytes: d}, j)
if info.BoundaryBefore() {
i.rb.compose()
seg := i.buf[:i.rb.flushCopy(i.buf[:])]
i.rb.insertUnsafe(input{bytes: d}, j, info)
i.multiSeg = d[j+int(info.size):]
return seg
}
i.rb.insertUnsafe(input{bytes: d}, j, info)
j += int(info.size)
}
i.multiSeg = nil
i.next = nextComposed
return doNormComposed(i)
} | nextMultiNorm is used for iterating over multi-segment decompositions
for composing normal forms. | nextMultiNorm | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/iter.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/iter.go | BSD-3-Clause |
func nextDecomposed(i *Iter) (next []byte) {
outp := 0
inCopyStart, outCopyStart := i.p, 0
for {
if sz := int(i.info.size); sz <= 1 {
i.rb.ss = 0
p := i.p
i.p++ // ASCII or illegal byte. Either way, advance by 1.
if i.p >= i.rb.nsrc {
i.setDone()
return i.returnSlice(p, i.p)
} else if i.rb.src._byte(i.p) < utf8.RuneSelf {
i.next = i.asciiF
return i.returnSlice(p, i.p)
}
outp++
} else if d := i.info.Decomposition(); d != nil {
// Note: If leading CCC != 0, then len(d) == 2 and last is also non-zero.
// Case 1: there is a leftover to copy. In this case the decomposition
// must begin with a modifier and should always be appended.
// Case 2: no leftover. Simply return d if followed by a ccc == 0 value.
p := outp + len(d)
if outp > 0 {
i.rb.src.copySlice(i.buf[outCopyStart:], inCopyStart, i.p)
// TODO: this condition should not be possible, but we leave it
// in for defensive purposes.
if p > len(i.buf) {
return i.buf[:outp]
}
} else if i.info.multiSegment() {
// outp must be 0 as multi-segment decompositions always
// start a new segment.
if i.multiSeg == nil {
i.multiSeg = d
i.next = nextMulti
return nextMulti(i)
}
// We are in the last segment. Treat as normal decomposition.
d = i.multiSeg
i.multiSeg = nil
p = len(d)
}
prevCC := i.info.tccc
if i.p += sz; i.p >= i.rb.nsrc {
i.setDone()
i.info = Properties{} // Force BoundaryBefore to succeed.
} else {
i.info = i.rb.f.info(i.rb.src, i.p)
}
switch i.rb.ss.next(i.info) {
case ssOverflow:
i.next = nextCGJDecompose
fallthrough
case ssStarter:
if outp > 0 {
copy(i.buf[outp:], d)
return i.buf[:p]
}
return d
}
copy(i.buf[outp:], d)
outp = p
inCopyStart, outCopyStart = i.p, outp
if i.info.ccc < prevCC {
goto doNorm
}
continue
} else if r := i.rb.src.hangul(i.p); r != 0 {
outp = decomposeHangul(i.buf[:], r)
i.p += hangulUTF8Size
inCopyStart, outCopyStart = i.p, outp
if i.p >= i.rb.nsrc {
i.setDone()
break
} else if i.rb.src.hangul(i.p) != 0 {
i.next = nextHangul
return i.buf[:outp]
}
} else {
p := outp + sz
if p > len(i.buf) {
break
}
outp = p
i.p += sz
}
if i.p >= i.rb.nsrc {
i.setDone()
break
}
prevCC := i.info.tccc
i.info = i.rb.f.info(i.rb.src, i.p)
if v := i.rb.ss.next(i.info); v == ssStarter {
break
} else if v == ssOverflow {
i.next = nextCGJDecompose
break
}
if i.info.ccc < prevCC {
goto doNorm
}
}
if outCopyStart == 0 {
return i.returnSlice(inCopyStart, i.p)
} else if inCopyStart < i.p {
i.rb.src.copySlice(i.buf[outCopyStart:], inCopyStart, i.p)
}
return i.buf[:outp]
doNorm:
// Insert what we have decomposed so far in the reorderBuffer.
// As we will only reorder, there will always be enough room.
i.rb.src.copySlice(i.buf[outCopyStart:], inCopyStart, i.p)
i.rb.insertDecomposed(i.buf[0:outp])
return doNormDecomposed(i)
} | nextDecomposed is the implementation of Next for forms NFD and NFKD. | nextDecomposed | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/iter.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/iter.go | BSD-3-Clause |
func nextComposed(i *Iter) []byte {
outp, startp := 0, i.p
var prevCC uint8
for {
if !i.info.isYesC() {
goto doNorm
}
prevCC = i.info.tccc
sz := int(i.info.size)
if sz == 0 {
sz = 1 // illegal rune: copy byte-by-byte
}
p := outp + sz
if p > len(i.buf) {
break
}
outp = p
i.p += sz
if i.p >= i.rb.nsrc {
i.setDone()
break
} else if i.rb.src._byte(i.p) < utf8.RuneSelf {
i.rb.ss = 0
i.next = i.asciiF
break
}
i.info = i.rb.f.info(i.rb.src, i.p)
if v := i.rb.ss.next(i.info); v == ssStarter {
break
} else if v == ssOverflow {
i.next = nextCGJCompose
break
}
if i.info.ccc < prevCC {
goto doNorm
}
}
return i.returnSlice(startp, i.p)
doNorm:
// reset to start position
i.p = startp
i.info = i.rb.f.info(i.rb.src, i.p)
i.rb.ss.first(i.info)
if i.info.multiSegment() {
d := i.info.Decomposition()
info := i.rb.f.info(input{bytes: d}, 0)
i.rb.insertUnsafe(input{bytes: d}, 0, info)
i.multiSeg = d[int(info.size):]
i.next = nextMultiNorm
return nextMultiNorm(i)
}
i.rb.ss.first(i.info)
i.rb.insertUnsafe(i.rb.src, i.p, i.info)
return doNormComposed(i)
} | nextComposed is the implementation of Next for forms NFC and NFKC. | nextComposed | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/iter.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/iter.go | BSD-3-Clause |
func (t *nfcTrie) lookup(s []byte) (v uint16, sz int) {
c0 := s[0]
switch {
case c0 < 0x80: // is ASCII
return nfcValues[c0], 1
case c0 < 0xC2:
return 0, 1 // Illegal UTF-8: not a starter, not ASCII.
case c0 < 0xE0: // 2-byte UTF-8
if len(s) < 2 {
return 0, 0
}
i := nfcIndex[c0]
c1 := s[1]
if c1 < 0x80 || 0xC0 <= c1 {
return 0, 1 // Illegal UTF-8: not a continuation byte.
}
return t.lookupValue(uint32(i), c1), 2
case c0 < 0xF0: // 3-byte UTF-8
if len(s) < 3 {
return 0, 0
}
i := nfcIndex[c0]
c1 := s[1]
if c1 < 0x80 || 0xC0 <= c1 {
return 0, 1 // Illegal UTF-8: not a continuation byte.
}
o := uint32(i)<<6 + uint32(c1)
i = nfcIndex[o]
c2 := s[2]
if c2 < 0x80 || 0xC0 <= c2 {
return 0, 2 // Illegal UTF-8: not a continuation byte.
}
return t.lookupValue(uint32(i), c2), 3
case c0 < 0xF8: // 4-byte UTF-8
if len(s) < 4 {
return 0, 0
}
i := nfcIndex[c0]
c1 := s[1]
if c1 < 0x80 || 0xC0 <= c1 {
return 0, 1 // Illegal UTF-8: not a continuation byte.
}
o := uint32(i)<<6 + uint32(c1)
i = nfcIndex[o]
c2 := s[2]
if c2 < 0x80 || 0xC0 <= c2 {
return 0, 2 // Illegal UTF-8: not a continuation byte.
}
o = uint32(i)<<6 + uint32(c2)
i = nfcIndex[o]
c3 := s[3]
if c3 < 0x80 || 0xC0 <= c3 {
return 0, 3 // Illegal UTF-8: not a continuation byte.
}
return t.lookupValue(uint32(i), c3), 4
}
// Illegal rune
return 0, 1
} | lookup returns the trie value for the first UTF-8 encoding in s and
the width in bytes of this encoding. The size will be 0 if s does not
hold enough bytes to complete the encoding. len(s) must be greater than 0. | lookup | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | BSD-3-Clause |
func (t *nfcTrie) lookupUnsafe(s []byte) uint16 {
c0 := s[0]
if c0 < 0x80 { // is ASCII
return nfcValues[c0]
}
i := nfcIndex[c0]
if c0 < 0xE0 { // 2-byte UTF-8
return t.lookupValue(uint32(i), s[1])
}
i = nfcIndex[uint32(i)<<6+uint32(s[1])]
if c0 < 0xF0 { // 3-byte UTF-8
return t.lookupValue(uint32(i), s[2])
}
i = nfcIndex[uint32(i)<<6+uint32(s[2])]
if c0 < 0xF8 { // 4-byte UTF-8
return t.lookupValue(uint32(i), s[3])
}
return 0
} | lookupUnsafe returns the trie value for the first UTF-8 encoding in s.
s must start with a full and valid UTF-8 encoded rune. | lookupUnsafe | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | BSD-3-Clause |
func (t *nfcTrie) lookupString(s string) (v uint16, sz int) {
c0 := s[0]
switch {
case c0 < 0x80: // is ASCII
return nfcValues[c0], 1
case c0 < 0xC2:
return 0, 1 // Illegal UTF-8: not a starter, not ASCII.
case c0 < 0xE0: // 2-byte UTF-8
if len(s) < 2 {
return 0, 0
}
i := nfcIndex[c0]
c1 := s[1]
if c1 < 0x80 || 0xC0 <= c1 {
return 0, 1 // Illegal UTF-8: not a continuation byte.
}
return t.lookupValue(uint32(i), c1), 2
case c0 < 0xF0: // 3-byte UTF-8
if len(s) < 3 {
return 0, 0
}
i := nfcIndex[c0]
c1 := s[1]
if c1 < 0x80 || 0xC0 <= c1 {
return 0, 1 // Illegal UTF-8: not a continuation byte.
}
o := uint32(i)<<6 + uint32(c1)
i = nfcIndex[o]
c2 := s[2]
if c2 < 0x80 || 0xC0 <= c2 {
return 0, 2 // Illegal UTF-8: not a continuation byte.
}
return t.lookupValue(uint32(i), c2), 3
case c0 < 0xF8: // 4-byte UTF-8
if len(s) < 4 {
return 0, 0
}
i := nfcIndex[c0]
c1 := s[1]
if c1 < 0x80 || 0xC0 <= c1 {
return 0, 1 // Illegal UTF-8: not a continuation byte.
}
o := uint32(i)<<6 + uint32(c1)
i = nfcIndex[o]
c2 := s[2]
if c2 < 0x80 || 0xC0 <= c2 {
return 0, 2 // Illegal UTF-8: not a continuation byte.
}
o = uint32(i)<<6 + uint32(c2)
i = nfcIndex[o]
c3 := s[3]
if c3 < 0x80 || 0xC0 <= c3 {
return 0, 3 // Illegal UTF-8: not a continuation byte.
}
return t.lookupValue(uint32(i), c3), 4
}
// Illegal rune
return 0, 1
} | lookupString returns the trie value for the first UTF-8 encoding in s and
the width in bytes of this encoding. The size will be 0 if s does not
hold enough bytes to complete the encoding. len(s) must be greater than 0. | lookupString | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | BSD-3-Clause |
func (t *nfcTrie) lookupStringUnsafe(s string) uint16 {
c0 := s[0]
if c0 < 0x80 { // is ASCII
return nfcValues[c0]
}
i := nfcIndex[c0]
if c0 < 0xE0 { // 2-byte UTF-8
return t.lookupValue(uint32(i), s[1])
}
i = nfcIndex[uint32(i)<<6+uint32(s[1])]
if c0 < 0xF0 { // 3-byte UTF-8
return t.lookupValue(uint32(i), s[2])
}
i = nfcIndex[uint32(i)<<6+uint32(s[2])]
if c0 < 0xF8 { // 4-byte UTF-8
return t.lookupValue(uint32(i), s[3])
}
return 0
} | lookupStringUnsafe returns the trie value for the first UTF-8 encoding in s.
s must start with a full and valid UTF-8 encoded rune. | lookupStringUnsafe | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | BSD-3-Clause |
func (t *nfcTrie) lookupValue(n uint32, b byte) uint16 {
switch {
case n < 45:
return uint16(nfcValues[n<<6+uint32(b)])
default:
n -= 45
return uint16(nfcSparse.lookup(n, b))
}
} | lookupValue determines the type of block n and looks up the value for b. | lookupValue | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | BSD-3-Clause |
func (t *nfkcTrie) lookup(s []byte) (v uint16, sz int) {
c0 := s[0]
switch {
case c0 < 0x80: // is ASCII
return nfkcValues[c0], 1
case c0 < 0xC2:
return 0, 1 // Illegal UTF-8: not a starter, not ASCII.
case c0 < 0xE0: // 2-byte UTF-8
if len(s) < 2 {
return 0, 0
}
i := nfkcIndex[c0]
c1 := s[1]
if c1 < 0x80 || 0xC0 <= c1 {
return 0, 1 // Illegal UTF-8: not a continuation byte.
}
return t.lookupValue(uint32(i), c1), 2
case c0 < 0xF0: // 3-byte UTF-8
if len(s) < 3 {
return 0, 0
}
i := nfkcIndex[c0]
c1 := s[1]
if c1 < 0x80 || 0xC0 <= c1 {
return 0, 1 // Illegal UTF-8: not a continuation byte.
}
o := uint32(i)<<6 + uint32(c1)
i = nfkcIndex[o]
c2 := s[2]
if c2 < 0x80 || 0xC0 <= c2 {
return 0, 2 // Illegal UTF-8: not a continuation byte.
}
return t.lookupValue(uint32(i), c2), 3
case c0 < 0xF8: // 4-byte UTF-8
if len(s) < 4 {
return 0, 0
}
i := nfkcIndex[c0]
c1 := s[1]
if c1 < 0x80 || 0xC0 <= c1 {
return 0, 1 // Illegal UTF-8: not a continuation byte.
}
o := uint32(i)<<6 + uint32(c1)
i = nfkcIndex[o]
c2 := s[2]
if c2 < 0x80 || 0xC0 <= c2 {
return 0, 2 // Illegal UTF-8: not a continuation byte.
}
o = uint32(i)<<6 + uint32(c2)
i = nfkcIndex[o]
c3 := s[3]
if c3 < 0x80 || 0xC0 <= c3 {
return 0, 3 // Illegal UTF-8: not a continuation byte.
}
return t.lookupValue(uint32(i), c3), 4
}
// Illegal rune
return 0, 1
} | lookup returns the trie value for the first UTF-8 encoding in s and
the width in bytes of this encoding. The size will be 0 if s does not
hold enough bytes to complete the encoding. len(s) must be greater than 0. | lookup | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | BSD-3-Clause |
func (t *nfkcTrie) lookupUnsafe(s []byte) uint16 {
c0 := s[0]
if c0 < 0x80 { // is ASCII
return nfkcValues[c0]
}
i := nfkcIndex[c0]
if c0 < 0xE0 { // 2-byte UTF-8
return t.lookupValue(uint32(i), s[1])
}
i = nfkcIndex[uint32(i)<<6+uint32(s[1])]
if c0 < 0xF0 { // 3-byte UTF-8
return t.lookupValue(uint32(i), s[2])
}
i = nfkcIndex[uint32(i)<<6+uint32(s[2])]
if c0 < 0xF8 { // 4-byte UTF-8
return t.lookupValue(uint32(i), s[3])
}
return 0
} | lookupUnsafe returns the trie value for the first UTF-8 encoding in s.
s must start with a full and valid UTF-8 encoded rune. | lookupUnsafe | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | BSD-3-Clause |
func (t *nfkcTrie) lookupString(s string) (v uint16, sz int) {
c0 := s[0]
switch {
case c0 < 0x80: // is ASCII
return nfkcValues[c0], 1
case c0 < 0xC2:
return 0, 1 // Illegal UTF-8: not a starter, not ASCII.
case c0 < 0xE0: // 2-byte UTF-8
if len(s) < 2 {
return 0, 0
}
i := nfkcIndex[c0]
c1 := s[1]
if c1 < 0x80 || 0xC0 <= c1 {
return 0, 1 // Illegal UTF-8: not a continuation byte.
}
return t.lookupValue(uint32(i), c1), 2
case c0 < 0xF0: // 3-byte UTF-8
if len(s) < 3 {
return 0, 0
}
i := nfkcIndex[c0]
c1 := s[1]
if c1 < 0x80 || 0xC0 <= c1 {
return 0, 1 // Illegal UTF-8: not a continuation byte.
}
o := uint32(i)<<6 + uint32(c1)
i = nfkcIndex[o]
c2 := s[2]
if c2 < 0x80 || 0xC0 <= c2 {
return 0, 2 // Illegal UTF-8: not a continuation byte.
}
return t.lookupValue(uint32(i), c2), 3
case c0 < 0xF8: // 4-byte UTF-8
if len(s) < 4 {
return 0, 0
}
i := nfkcIndex[c0]
c1 := s[1]
if c1 < 0x80 || 0xC0 <= c1 {
return 0, 1 // Illegal UTF-8: not a continuation byte.
}
o := uint32(i)<<6 + uint32(c1)
i = nfkcIndex[o]
c2 := s[2]
if c2 < 0x80 || 0xC0 <= c2 {
return 0, 2 // Illegal UTF-8: not a continuation byte.
}
o = uint32(i)<<6 + uint32(c2)
i = nfkcIndex[o]
c3 := s[3]
if c3 < 0x80 || 0xC0 <= c3 {
return 0, 3 // Illegal UTF-8: not a continuation byte.
}
return t.lookupValue(uint32(i), c3), 4
}
// Illegal rune
return 0, 1
} | lookupString returns the trie value for the first UTF-8 encoding in s and
the width in bytes of this encoding. The size will be 0 if s does not
hold enough bytes to complete the encoding. len(s) must be greater than 0. | lookupString | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | BSD-3-Clause |
func (t *nfkcTrie) lookupStringUnsafe(s string) uint16 {
c0 := s[0]
if c0 < 0x80 { // is ASCII
return nfkcValues[c0]
}
i := nfkcIndex[c0]
if c0 < 0xE0 { // 2-byte UTF-8
return t.lookupValue(uint32(i), s[1])
}
i = nfkcIndex[uint32(i)<<6+uint32(s[1])]
if c0 < 0xF0 { // 3-byte UTF-8
return t.lookupValue(uint32(i), s[2])
}
i = nfkcIndex[uint32(i)<<6+uint32(s[2])]
if c0 < 0xF8 { // 4-byte UTF-8
return t.lookupValue(uint32(i), s[3])
}
return 0
} | lookupStringUnsafe returns the trie value for the first UTF-8 encoding in s.
s must start with a full and valid UTF-8 encoded rune. | lookupStringUnsafe | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | BSD-3-Clause |
func (t *nfkcTrie) lookupValue(n uint32, b byte) uint16 {
switch {
case n < 91:
return uint16(nfkcValues[n<<6+uint32(b)])
default:
n -= 91
return uint16(nfkcSparse.lookup(n, b))
}
} | lookupValue determines the type of block n and looks up the value for b. | lookupValue | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/tables10.0.0.go | BSD-3-Clause |
func (w *normWriter) Write(data []byte) (n int, err error) {
// Process data in pieces to keep w.buf size bounded.
const chunk = 4000
for len(data) > 0 {
// Normalize into w.buf.
m := len(data)
if m > chunk {
m = chunk
}
w.rb.src = inputBytes(data[:m])
w.rb.nsrc = m
w.buf = doAppend(&w.rb, w.buf, 0)
data = data[m:]
n += m
// Write out complete prefix, save remainder.
// Note that lastBoundary looks back at most 31 runes.
i := lastBoundary(&w.rb.f, w.buf)
if i == -1 {
i = 0
}
if i > 0 {
if _, err = w.w.Write(w.buf[:i]); err != nil {
break
}
bn := copy(w.buf, w.buf[i:])
w.buf = w.buf[:bn]
}
}
return n, err
} | Write implements the standard write interface. If the last characters are
not at a normalization boundary, the bytes will be buffered for the next
write. The remaining bytes will be written on close. | Write | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/readwriter.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/readwriter.go | BSD-3-Clause |
func (w *normWriter) Close() error {
if len(w.buf) > 0 {
_, err := w.w.Write(w.buf)
if err != nil {
return err
}
}
return nil
} | Close forces data that remains in the buffer to be written. | Close | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/readwriter.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/readwriter.go | BSD-3-Clause |
func (f Form) Writer(w io.Writer) io.WriteCloser {
wr := &normWriter{rb: reorderBuffer{}, w: w}
wr.rb.init(f, nil)
return wr
} | Writer returns a new writer that implements Write(b)
by writing f(b) to w. The returned writer may use an
internal buffer to maintain state across Write calls.
Calling its Close method writes any buffered data to w. | Writer | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/readwriter.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/readwriter.go | BSD-3-Clause |
func (r *normReader) Read(p []byte) (int, error) {
for {
if r.lastBoundary-r.bufStart > 0 {
n := copy(p, r.outbuf[r.bufStart:r.lastBoundary])
r.bufStart += n
if r.lastBoundary-r.bufStart > 0 {
return n, nil
}
return n, r.err
}
if r.err != nil {
return 0, r.err
}
outn := copy(r.outbuf, r.outbuf[r.lastBoundary:])
r.outbuf = r.outbuf[0:outn]
r.bufStart = 0
n, err := r.r.Read(r.inbuf)
r.rb.src = inputBytes(r.inbuf[0:n])
r.rb.nsrc, r.err = n, err
if n > 0 {
r.outbuf = doAppend(&r.rb, r.outbuf, 0)
}
if err == io.EOF {
r.lastBoundary = len(r.outbuf)
} else {
r.lastBoundary = lastBoundary(&r.rb.f, r.outbuf)
if r.lastBoundary == -1 {
r.lastBoundary = 0
}
}
}
} | Read implements the standard read interface. | Read | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/readwriter.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/readwriter.go | BSD-3-Clause |
func (f Form) Reader(r io.Reader) io.Reader {
const chunk = 4000
buf := make([]byte, chunk)
rr := &normReader{rb: reorderBuffer{}, r: r, inbuf: buf}
rr.rb.init(f, buf)
return rr
} | Reader returns a new reader that implements Read
by reading data from r and returning f(data). | Reader | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/readwriter.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/readwriter.go | BSD-3-Clause |
func (Form) Reset() {} | Reset implements the Reset method of the transform.Transformer interface. | Reset | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/transform.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/transform.go | BSD-3-Clause |
func (f Form) Transform(dst, src []byte, atEOF bool) (nDst, nSrc int, err error) {
// Cap the maximum number of src bytes to check.
b := src
eof := atEOF
if ns := len(dst); ns < len(b) {
err = transform.ErrShortDst
eof = false
b = b[:ns]
}
i, ok := formTable[f].quickSpan(inputBytes(b), 0, len(b), eof)
n := copy(dst, b[:i])
if !ok {
nDst, nSrc, err = f.transform(dst[n:], src[n:], atEOF)
return nDst + n, nSrc + n, err
}
if err == nil && n < len(src) && !atEOF {
err = transform.ErrShortSrc
}
return n, n, err
} | Transform implements the Transform method of the transform.Transformer
interface. It may need to write segments of up to MaxSegmentSize at once.
Users should either catch ErrShortDst and allow dst to grow or have dst be at
least of size MaxTransformChunkSize to be guaranteed of progress. | Transform | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/transform.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/transform.go | BSD-3-Clause |
func (f Form) transform(dst, src []byte, atEOF bool) (nDst, nSrc int, err error) {
// TODO: get rid of reorderBuffer. See CL 23460044.
rb := reorderBuffer{}
rb.init(f, src)
for {
// Load segment into reorder buffer.
rb.setFlusher(dst[nDst:], flushTransform)
end := decomposeSegment(&rb, nSrc, atEOF)
if end < 0 {
return nDst, nSrc, errs[-end]
}
nDst = len(dst) - len(rb.out)
nSrc = end
// Next quickSpan.
end = rb.nsrc
eof := atEOF
if n := nSrc + len(dst) - nDst; n < end {
err = transform.ErrShortDst
end = n
eof = false
}
end, ok := rb.f.quickSpan(rb.src, nSrc, end, eof)
n := copy(dst[nDst:], rb.src.bytes[nSrc:end])
nSrc += n
nDst += n
if ok {
if err == nil && n < rb.nsrc && !atEOF {
err = transform.ErrShortSrc
}
return nDst, nSrc, err
}
}
} | transform implements the transform.Transformer interface. It is only called
when quickSpan does not pass for a given string. | transform | go | flynn/flynn | vendor/golang.org/x/text/unicode/norm/transform.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/text/unicode/norm/transform.go | BSD-3-Clause |
func feCSwap(f, g *fieldElement, b int32) {
b = -b
for i := range f {
t := b & (f[i] ^ g[i])
f[i] ^= t
g[i] ^= t
}
} | feCSwap replaces (f,g) with (g,f) if b == 1; replaces (f,g) with (f,g) if b == 0.
Preconditions: b in {0,1}. | feCSwap | go | flynn/flynn | vendor/golang.org/x/crypto/curve25519/curve25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/curve25519/curve25519.go | BSD-3-Clause |
func load3(in []byte) int64 {
var r int64
r = int64(in[0])
r |= int64(in[1]) << 8
r |= int64(in[2]) << 16
return r
} | load3 reads a 24-bit, little-endian value from in. | load3 | go | flynn/flynn | vendor/golang.org/x/crypto/curve25519/curve25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/curve25519/curve25519.go | BSD-3-Clause |
func load4(in []byte) int64 {
return int64(binary.LittleEndian.Uint32(in))
} | load4 reads a 32-bit, little-endian value from in. | load4 | go | flynn/flynn | vendor/golang.org/x/crypto/curve25519/curve25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/curve25519/curve25519.go | BSD-3-Clause |
func feToBytes(s *[32]byte, h *fieldElement) {
var carry [10]int32
q := (19*h[9] + (1 << 24)) >> 25
q = (h[0] + q) >> 26
q = (h[1] + q) >> 25
q = (h[2] + q) >> 26
q = (h[3] + q) >> 25
q = (h[4] + q) >> 26
q = (h[5] + q) >> 25
q = (h[6] + q) >> 26
q = (h[7] + q) >> 25
q = (h[8] + q) >> 26
q = (h[9] + q) >> 25
// Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20.
h[0] += 19 * q
// Goal: Output h-2^255 q, which is between 0 and 2^255-20.
carry[0] = h[0] >> 26
h[1] += carry[0]
h[0] -= carry[0] << 26
carry[1] = h[1] >> 25
h[2] += carry[1]
h[1] -= carry[1] << 25
carry[2] = h[2] >> 26
h[3] += carry[2]
h[2] -= carry[2] << 26
carry[3] = h[3] >> 25
h[4] += carry[3]
h[3] -= carry[3] << 25
carry[4] = h[4] >> 26
h[5] += carry[4]
h[4] -= carry[4] << 26
carry[5] = h[5] >> 25
h[6] += carry[5]
h[5] -= carry[5] << 25
carry[6] = h[6] >> 26
h[7] += carry[6]
h[6] -= carry[6] << 26
carry[7] = h[7] >> 25
h[8] += carry[7]
h[7] -= carry[7] << 25
carry[8] = h[8] >> 26
h[9] += carry[8]
h[8] -= carry[8] << 26
carry[9] = h[9] >> 25
h[9] -= carry[9] << 25
// h10 = carry9
// Goal: Output h[0]+...+2^255 h10-2^255 q, which is between 0 and 2^255-20.
// Have h[0]+...+2^230 h[9] between 0 and 2^255-1;
// evidently 2^255 h10-2^255 q = 0.
// Goal: Output h[0]+...+2^230 h[9].
s[0] = byte(h[0] >> 0)
s[1] = byte(h[0] >> 8)
s[2] = byte(h[0] >> 16)
s[3] = byte((h[0] >> 24) | (h[1] << 2))
s[4] = byte(h[1] >> 6)
s[5] = byte(h[1] >> 14)
s[6] = byte((h[1] >> 22) | (h[2] << 3))
s[7] = byte(h[2] >> 5)
s[8] = byte(h[2] >> 13)
s[9] = byte((h[2] >> 21) | (h[3] << 5))
s[10] = byte(h[3] >> 3)
s[11] = byte(h[3] >> 11)
s[12] = byte((h[3] >> 19) | (h[4] << 6))
s[13] = byte(h[4] >> 2)
s[14] = byte(h[4] >> 10)
s[15] = byte(h[4] >> 18)
s[16] = byte(h[5] >> 0)
s[17] = byte(h[5] >> 8)
s[18] = byte(h[5] >> 16)
s[19] = byte((h[5] >> 24) | (h[6] << 1))
s[20] = byte(h[6] >> 7)
s[21] = byte(h[6] >> 15)
s[22] = byte((h[6] >> 23) | (h[7] << 3))
s[23] = byte(h[7] >> 5)
s[24] = byte(h[7] >> 13)
s[25] = byte((h[7] >> 21) | (h[8] << 4))
s[26] = byte(h[8] >> 4)
s[27] = byte(h[8] >> 12)
s[28] = byte((h[8] >> 20) | (h[9] << 6))
s[29] = byte(h[9] >> 2)
s[30] = byte(h[9] >> 10)
s[31] = byte(h[9] >> 18)
} | feToBytes marshals h to s.
Preconditions:
|h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
Write p=2^255-19; q=floor(h/p).
Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))).
Proof:
Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4.
Also have |h-2^230 h9|<2^230 so |19 2^(-255)(h-2^230 h9)|<1/4.
Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9).
Then 0<y<1.
Write r=h-pq.
Have 0<=r<=p-1=2^255-20.
Thus 0<=r+19(2^-255)r<r+19(2^-255)2^255<=2^255-1.
Write x=r+19(2^-255)r+y.
Then 0<x<2^255 so floor(2^(-255)x) = 0 so floor(q+2^(-255)x) = q.
Have q+2^(-255)x = 2^(-255)(h + 19 2^(-25) h9 + 2^(-1))
so floor(2^(-255)(h + 19 2^(-25) h9 + 2^(-1))) = q. | feToBytes | go | flynn/flynn | vendor/golang.org/x/crypto/curve25519/curve25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/curve25519/curve25519.go | BSD-3-Clause |
func feMul(h, f, g *fieldElement) {
f0 := f[0]
f1 := f[1]
f2 := f[2]
f3 := f[3]
f4 := f[4]
f5 := f[5]
f6 := f[6]
f7 := f[7]
f8 := f[8]
f9 := f[9]
g0 := g[0]
g1 := g[1]
g2 := g[2]
g3 := g[3]
g4 := g[4]
g5 := g[5]
g6 := g[6]
g7 := g[7]
g8 := g[8]
g9 := g[9]
g1_19 := 19 * g1 // 1.4*2^29
g2_19 := 19 * g2 // 1.4*2^30; still ok
g3_19 := 19 * g3
g4_19 := 19 * g4
g5_19 := 19 * g5
g6_19 := 19 * g6
g7_19 := 19 * g7
g8_19 := 19 * g8
g9_19 := 19 * g9
f1_2 := 2 * f1
f3_2 := 2 * f3
f5_2 := 2 * f5
f7_2 := 2 * f7
f9_2 := 2 * f9
f0g0 := int64(f0) * int64(g0)
f0g1 := int64(f0) * int64(g1)
f0g2 := int64(f0) * int64(g2)
f0g3 := int64(f0) * int64(g3)
f0g4 := int64(f0) * int64(g4)
f0g5 := int64(f0) * int64(g5)
f0g6 := int64(f0) * int64(g6)
f0g7 := int64(f0) * int64(g7)
f0g8 := int64(f0) * int64(g8)
f0g9 := int64(f0) * int64(g9)
f1g0 := int64(f1) * int64(g0)
f1g1_2 := int64(f1_2) * int64(g1)
f1g2 := int64(f1) * int64(g2)
f1g3_2 := int64(f1_2) * int64(g3)
f1g4 := int64(f1) * int64(g4)
f1g5_2 := int64(f1_2) * int64(g5)
f1g6 := int64(f1) * int64(g6)
f1g7_2 := int64(f1_2) * int64(g7)
f1g8 := int64(f1) * int64(g8)
f1g9_38 := int64(f1_2) * int64(g9_19)
f2g0 := int64(f2) * int64(g0)
f2g1 := int64(f2) * int64(g1)
f2g2 := int64(f2) * int64(g2)
f2g3 := int64(f2) * int64(g3)
f2g4 := int64(f2) * int64(g4)
f2g5 := int64(f2) * int64(g5)
f2g6 := int64(f2) * int64(g6)
f2g7 := int64(f2) * int64(g7)
f2g8_19 := int64(f2) * int64(g8_19)
f2g9_19 := int64(f2) * int64(g9_19)
f3g0 := int64(f3) * int64(g0)
f3g1_2 := int64(f3_2) * int64(g1)
f3g2 := int64(f3) * int64(g2)
f3g3_2 := int64(f3_2) * int64(g3)
f3g4 := int64(f3) * int64(g4)
f3g5_2 := int64(f3_2) * int64(g5)
f3g6 := int64(f3) * int64(g6)
f3g7_38 := int64(f3_2) * int64(g7_19)
f3g8_19 := int64(f3) * int64(g8_19)
f3g9_38 := int64(f3_2) * int64(g9_19)
f4g0 := int64(f4) * int64(g0)
f4g1 := int64(f4) * int64(g1)
f4g2 := int64(f4) * int64(g2)
f4g3 := int64(f4) * int64(g3)
f4g4 := int64(f4) * int64(g4)
f4g5 := int64(f4) * int64(g5)
f4g6_19 := int64(f4) * int64(g6_19)
f4g7_19 := int64(f4) * int64(g7_19)
f4g8_19 := int64(f4) * int64(g8_19)
f4g9_19 := int64(f4) * int64(g9_19)
f5g0 := int64(f5) * int64(g0)
f5g1_2 := int64(f5_2) * int64(g1)
f5g2 := int64(f5) * int64(g2)
f5g3_2 := int64(f5_2) * int64(g3)
f5g4 := int64(f5) * int64(g4)
f5g5_38 := int64(f5_2) * int64(g5_19)
f5g6_19 := int64(f5) * int64(g6_19)
f5g7_38 := int64(f5_2) * int64(g7_19)
f5g8_19 := int64(f5) * int64(g8_19)
f5g9_38 := int64(f5_2) * int64(g9_19)
f6g0 := int64(f6) * int64(g0)
f6g1 := int64(f6) * int64(g1)
f6g2 := int64(f6) * int64(g2)
f6g3 := int64(f6) * int64(g3)
f6g4_19 := int64(f6) * int64(g4_19)
f6g5_19 := int64(f6) * int64(g5_19)
f6g6_19 := int64(f6) * int64(g6_19)
f6g7_19 := int64(f6) * int64(g7_19)
f6g8_19 := int64(f6) * int64(g8_19)
f6g9_19 := int64(f6) * int64(g9_19)
f7g0 := int64(f7) * int64(g0)
f7g1_2 := int64(f7_2) * int64(g1)
f7g2 := int64(f7) * int64(g2)
f7g3_38 := int64(f7_2) * int64(g3_19)
f7g4_19 := int64(f7) * int64(g4_19)
f7g5_38 := int64(f7_2) * int64(g5_19)
f7g6_19 := int64(f7) * int64(g6_19)
f7g7_38 := int64(f7_2) * int64(g7_19)
f7g8_19 := int64(f7) * int64(g8_19)
f7g9_38 := int64(f7_2) * int64(g9_19)
f8g0 := int64(f8) * int64(g0)
f8g1 := int64(f8) * int64(g1)
f8g2_19 := int64(f8) * int64(g2_19)
f8g3_19 := int64(f8) * int64(g3_19)
f8g4_19 := int64(f8) * int64(g4_19)
f8g5_19 := int64(f8) * int64(g5_19)
f8g6_19 := int64(f8) * int64(g6_19)
f8g7_19 := int64(f8) * int64(g7_19)
f8g8_19 := int64(f8) * int64(g8_19)
f8g9_19 := int64(f8) * int64(g9_19)
f9g0 := int64(f9) * int64(g0)
f9g1_38 := int64(f9_2) * int64(g1_19)
f9g2_19 := int64(f9) * int64(g2_19)
f9g3_38 := int64(f9_2) * int64(g3_19)
f9g4_19 := int64(f9) * int64(g4_19)
f9g5_38 := int64(f9_2) * int64(g5_19)
f9g6_19 := int64(f9) * int64(g6_19)
f9g7_38 := int64(f9_2) * int64(g7_19)
f9g8_19 := int64(f9) * int64(g8_19)
f9g9_38 := int64(f9_2) * int64(g9_19)
h0 := f0g0 + f1g9_38 + f2g8_19 + f3g7_38 + f4g6_19 + f5g5_38 + f6g4_19 + f7g3_38 + f8g2_19 + f9g1_38
h1 := f0g1 + f1g0 + f2g9_19 + f3g8_19 + f4g7_19 + f5g6_19 + f6g5_19 + f7g4_19 + f8g3_19 + f9g2_19
h2 := f0g2 + f1g1_2 + f2g0 + f3g9_38 + f4g8_19 + f5g7_38 + f6g6_19 + f7g5_38 + f8g4_19 + f9g3_38
h3 := f0g3 + f1g2 + f2g1 + f3g0 + f4g9_19 + f5g8_19 + f6g7_19 + f7g6_19 + f8g5_19 + f9g4_19
h4 := f0g4 + f1g3_2 + f2g2 + f3g1_2 + f4g0 + f5g9_38 + f6g8_19 + f7g7_38 + f8g6_19 + f9g5_38
h5 := f0g5 + f1g4 + f2g3 + f3g2 + f4g1 + f5g0 + f6g9_19 + f7g8_19 + f8g7_19 + f9g6_19
h6 := f0g6 + f1g5_2 + f2g4 + f3g3_2 + f4g2 + f5g1_2 + f6g0 + f7g9_38 + f8g8_19 + f9g7_38
h7 := f0g7 + f1g6 + f2g5 + f3g4 + f4g3 + f5g2 + f6g1 + f7g0 + f8g9_19 + f9g8_19
h8 := f0g8 + f1g7_2 + f2g6 + f3g5_2 + f4g4 + f5g3_2 + f6g2 + f7g1_2 + f8g0 + f9g9_38
h9 := f0g9 + f1g8 + f2g7 + f3g6 + f4g5 + f5g4 + f6g3 + f7g2 + f8g1 + f9g0
var carry [10]int64
// |h0| <= (1.1*1.1*2^52*(1+19+19+19+19)+1.1*1.1*2^50*(38+38+38+38+38))
// i.e. |h0| <= 1.2*2^59; narrower ranges for h2, h4, h6, h8
// |h1| <= (1.1*1.1*2^51*(1+1+19+19+19+19+19+19+19+19))
// i.e. |h1| <= 1.5*2^58; narrower ranges for h3, h5, h7, h9
carry[0] = (h0 + (1 << 25)) >> 26
h1 += carry[0]
h0 -= carry[0] << 26
carry[4] = (h4 + (1 << 25)) >> 26
h5 += carry[4]
h4 -= carry[4] << 26
// |h0| <= 2^25
// |h4| <= 2^25
// |h1| <= 1.51*2^58
// |h5| <= 1.51*2^58
carry[1] = (h1 + (1 << 24)) >> 25
h2 += carry[1]
h1 -= carry[1] << 25
carry[5] = (h5 + (1 << 24)) >> 25
h6 += carry[5]
h5 -= carry[5] << 25
// |h1| <= 2^24; from now on fits into int32
// |h5| <= 2^24; from now on fits into int32
// |h2| <= 1.21*2^59
// |h6| <= 1.21*2^59
carry[2] = (h2 + (1 << 25)) >> 26
h3 += carry[2]
h2 -= carry[2] << 26
carry[6] = (h6 + (1 << 25)) >> 26
h7 += carry[6]
h6 -= carry[6] << 26
// |h2| <= 2^25; from now on fits into int32 unchanged
// |h6| <= 2^25; from now on fits into int32 unchanged
// |h3| <= 1.51*2^58
// |h7| <= 1.51*2^58
carry[3] = (h3 + (1 << 24)) >> 25
h4 += carry[3]
h3 -= carry[3] << 25
carry[7] = (h7 + (1 << 24)) >> 25
h8 += carry[7]
h7 -= carry[7] << 25
// |h3| <= 2^24; from now on fits into int32 unchanged
// |h7| <= 2^24; from now on fits into int32 unchanged
// |h4| <= 1.52*2^33
// |h8| <= 1.52*2^33
carry[4] = (h4 + (1 << 25)) >> 26
h5 += carry[4]
h4 -= carry[4] << 26
carry[8] = (h8 + (1 << 25)) >> 26
h9 += carry[8]
h8 -= carry[8] << 26
// |h4| <= 2^25; from now on fits into int32 unchanged
// |h8| <= 2^25; from now on fits into int32 unchanged
// |h5| <= 1.01*2^24
// |h9| <= 1.51*2^58
carry[9] = (h9 + (1 << 24)) >> 25
h0 += carry[9] * 19
h9 -= carry[9] << 25
// |h9| <= 2^24; from now on fits into int32 unchanged
// |h0| <= 1.8*2^37
carry[0] = (h0 + (1 << 25)) >> 26
h1 += carry[0]
h0 -= carry[0] << 26
// |h0| <= 2^25; from now on fits into int32 unchanged
// |h1| <= 1.01*2^24
h[0] = int32(h0)
h[1] = int32(h1)
h[2] = int32(h2)
h[3] = int32(h3)
h[4] = int32(h4)
h[5] = int32(h5)
h[6] = int32(h6)
h[7] = int32(h7)
h[8] = int32(h8)
h[9] = int32(h9)
} | feMul calculates h = f * g
Can overlap h with f or g.
Preconditions:
|f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
|g| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
Postconditions:
|h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
Notes on implementation strategy:
Using schoolbook multiplication.
Karatsuba would save a little in some cost models.
Most multiplications by 2 and 19 are 32-bit precomputations;
cheaper than 64-bit postcomputations.
There is one remaining multiplication by 19 in the carry chain;
one *19 precomputation can be merged into this,
but the resulting data flow is considerably less clean.
There are 12 carries below.
10 of them are 2-way parallelizable and vectorizable.
Can get away with 11 carries, but then data flow is much deeper.
With tighter constraints on inputs can squeeze carries into int32. | feMul | go | flynn/flynn | vendor/golang.org/x/crypto/curve25519/curve25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/curve25519/curve25519.go | BSD-3-Clause |
func feSquare(h, f *fieldElement) {
f0 := f[0]
f1 := f[1]
f2 := f[2]
f3 := f[3]
f4 := f[4]
f5 := f[5]
f6 := f[6]
f7 := f[7]
f8 := f[8]
f9 := f[9]
f0_2 := 2 * f0
f1_2 := 2 * f1
f2_2 := 2 * f2
f3_2 := 2 * f3
f4_2 := 2 * f4
f5_2 := 2 * f5
f6_2 := 2 * f6
f7_2 := 2 * f7
f5_38 := 38 * f5 // 1.31*2^30
f6_19 := 19 * f6 // 1.31*2^30
f7_38 := 38 * f7 // 1.31*2^30
f8_19 := 19 * f8 // 1.31*2^30
f9_38 := 38 * f9 // 1.31*2^30
f0f0 := int64(f0) * int64(f0)
f0f1_2 := int64(f0_2) * int64(f1)
f0f2_2 := int64(f0_2) * int64(f2)
f0f3_2 := int64(f0_2) * int64(f3)
f0f4_2 := int64(f0_2) * int64(f4)
f0f5_2 := int64(f0_2) * int64(f5)
f0f6_2 := int64(f0_2) * int64(f6)
f0f7_2 := int64(f0_2) * int64(f7)
f0f8_2 := int64(f0_2) * int64(f8)
f0f9_2 := int64(f0_2) * int64(f9)
f1f1_2 := int64(f1_2) * int64(f1)
f1f2_2 := int64(f1_2) * int64(f2)
f1f3_4 := int64(f1_2) * int64(f3_2)
f1f4_2 := int64(f1_2) * int64(f4)
f1f5_4 := int64(f1_2) * int64(f5_2)
f1f6_2 := int64(f1_2) * int64(f6)
f1f7_4 := int64(f1_2) * int64(f7_2)
f1f8_2 := int64(f1_2) * int64(f8)
f1f9_76 := int64(f1_2) * int64(f9_38)
f2f2 := int64(f2) * int64(f2)
f2f3_2 := int64(f2_2) * int64(f3)
f2f4_2 := int64(f2_2) * int64(f4)
f2f5_2 := int64(f2_2) * int64(f5)
f2f6_2 := int64(f2_2) * int64(f6)
f2f7_2 := int64(f2_2) * int64(f7)
f2f8_38 := int64(f2_2) * int64(f8_19)
f2f9_38 := int64(f2) * int64(f9_38)
f3f3_2 := int64(f3_2) * int64(f3)
f3f4_2 := int64(f3_2) * int64(f4)
f3f5_4 := int64(f3_2) * int64(f5_2)
f3f6_2 := int64(f3_2) * int64(f6)
f3f7_76 := int64(f3_2) * int64(f7_38)
f3f8_38 := int64(f3_2) * int64(f8_19)
f3f9_76 := int64(f3_2) * int64(f9_38)
f4f4 := int64(f4) * int64(f4)
f4f5_2 := int64(f4_2) * int64(f5)
f4f6_38 := int64(f4_2) * int64(f6_19)
f4f7_38 := int64(f4) * int64(f7_38)
f4f8_38 := int64(f4_2) * int64(f8_19)
f4f9_38 := int64(f4) * int64(f9_38)
f5f5_38 := int64(f5) * int64(f5_38)
f5f6_38 := int64(f5_2) * int64(f6_19)
f5f7_76 := int64(f5_2) * int64(f7_38)
f5f8_38 := int64(f5_2) * int64(f8_19)
f5f9_76 := int64(f5_2) * int64(f9_38)
f6f6_19 := int64(f6) * int64(f6_19)
f6f7_38 := int64(f6) * int64(f7_38)
f6f8_38 := int64(f6_2) * int64(f8_19)
f6f9_38 := int64(f6) * int64(f9_38)
f7f7_38 := int64(f7) * int64(f7_38)
f7f8_38 := int64(f7_2) * int64(f8_19)
f7f9_76 := int64(f7_2) * int64(f9_38)
f8f8_19 := int64(f8) * int64(f8_19)
f8f9_38 := int64(f8) * int64(f9_38)
f9f9_38 := int64(f9) * int64(f9_38)
h0 := f0f0 + f1f9_76 + f2f8_38 + f3f7_76 + f4f6_38 + f5f5_38
h1 := f0f1_2 + f2f9_38 + f3f8_38 + f4f7_38 + f5f6_38
h2 := f0f2_2 + f1f1_2 + f3f9_76 + f4f8_38 + f5f7_76 + f6f6_19
h3 := f0f3_2 + f1f2_2 + f4f9_38 + f5f8_38 + f6f7_38
h4 := f0f4_2 + f1f3_4 + f2f2 + f5f9_76 + f6f8_38 + f7f7_38
h5 := f0f5_2 + f1f4_2 + f2f3_2 + f6f9_38 + f7f8_38
h6 := f0f6_2 + f1f5_4 + f2f4_2 + f3f3_2 + f7f9_76 + f8f8_19
h7 := f0f7_2 + f1f6_2 + f2f5_2 + f3f4_2 + f8f9_38
h8 := f0f8_2 + f1f7_4 + f2f6_2 + f3f5_4 + f4f4 + f9f9_38
h9 := f0f9_2 + f1f8_2 + f2f7_2 + f3f6_2 + f4f5_2
var carry [10]int64
carry[0] = (h0 + (1 << 25)) >> 26
h1 += carry[0]
h0 -= carry[0] << 26
carry[4] = (h4 + (1 << 25)) >> 26
h5 += carry[4]
h4 -= carry[4] << 26
carry[1] = (h1 + (1 << 24)) >> 25
h2 += carry[1]
h1 -= carry[1] << 25
carry[5] = (h5 + (1 << 24)) >> 25
h6 += carry[5]
h5 -= carry[5] << 25
carry[2] = (h2 + (1 << 25)) >> 26
h3 += carry[2]
h2 -= carry[2] << 26
carry[6] = (h6 + (1 << 25)) >> 26
h7 += carry[6]
h6 -= carry[6] << 26
carry[3] = (h3 + (1 << 24)) >> 25
h4 += carry[3]
h3 -= carry[3] << 25
carry[7] = (h7 + (1 << 24)) >> 25
h8 += carry[7]
h7 -= carry[7] << 25
carry[4] = (h4 + (1 << 25)) >> 26
h5 += carry[4]
h4 -= carry[4] << 26
carry[8] = (h8 + (1 << 25)) >> 26
h9 += carry[8]
h8 -= carry[8] << 26
carry[9] = (h9 + (1 << 24)) >> 25
h0 += carry[9] * 19
h9 -= carry[9] << 25
carry[0] = (h0 + (1 << 25)) >> 26
h1 += carry[0]
h0 -= carry[0] << 26
h[0] = int32(h0)
h[1] = int32(h1)
h[2] = int32(h2)
h[3] = int32(h3)
h[4] = int32(h4)
h[5] = int32(h5)
h[6] = int32(h6)
h[7] = int32(h7)
h[8] = int32(h8)
h[9] = int32(h9)
} | feSquare calculates h = f*f. Can overlap h with f.
Preconditions:
|f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
Postconditions:
|h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. | feSquare | go | flynn/flynn | vendor/golang.org/x/crypto/curve25519/curve25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/curve25519/curve25519.go | BSD-3-Clause |
func feMul121666(h, f *fieldElement) {
h0 := int64(f[0]) * 121666
h1 := int64(f[1]) * 121666
h2 := int64(f[2]) * 121666
h3 := int64(f[3]) * 121666
h4 := int64(f[4]) * 121666
h5 := int64(f[5]) * 121666
h6 := int64(f[6]) * 121666
h7 := int64(f[7]) * 121666
h8 := int64(f[8]) * 121666
h9 := int64(f[9]) * 121666
var carry [10]int64
carry[9] = (h9 + (1 << 24)) >> 25
h0 += carry[9] * 19
h9 -= carry[9] << 25
carry[1] = (h1 + (1 << 24)) >> 25
h2 += carry[1]
h1 -= carry[1] << 25
carry[3] = (h3 + (1 << 24)) >> 25
h4 += carry[3]
h3 -= carry[3] << 25
carry[5] = (h5 + (1 << 24)) >> 25
h6 += carry[5]
h5 -= carry[5] << 25
carry[7] = (h7 + (1 << 24)) >> 25
h8 += carry[7]
h7 -= carry[7] << 25
carry[0] = (h0 + (1 << 25)) >> 26
h1 += carry[0]
h0 -= carry[0] << 26
carry[2] = (h2 + (1 << 25)) >> 26
h3 += carry[2]
h2 -= carry[2] << 26
carry[4] = (h4 + (1 << 25)) >> 26
h5 += carry[4]
h4 -= carry[4] << 26
carry[6] = (h6 + (1 << 25)) >> 26
h7 += carry[6]
h6 -= carry[6] << 26
carry[8] = (h8 + (1 << 25)) >> 26
h9 += carry[8]
h8 -= carry[8] << 26
h[0] = int32(h0)
h[1] = int32(h1)
h[2] = int32(h2)
h[3] = int32(h3)
h[4] = int32(h4)
h[5] = int32(h5)
h[6] = int32(h6)
h[7] = int32(h7)
h[8] = int32(h8)
h[9] = int32(h9)
} | feMul121666 calculates h = f * 121666. Can overlap h with f.
Preconditions:
|f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
Postconditions:
|h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. | feMul121666 | go | flynn/flynn | vendor/golang.org/x/crypto/curve25519/curve25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/curve25519/curve25519.go | BSD-3-Clause |
func feInvert(out, z *fieldElement) {
var t0, t1, t2, t3 fieldElement
var i int
feSquare(&t0, z)
for i = 1; i < 1; i++ {
feSquare(&t0, &t0)
}
feSquare(&t1, &t0)
for i = 1; i < 2; i++ {
feSquare(&t1, &t1)
}
feMul(&t1, z, &t1)
feMul(&t0, &t0, &t1)
feSquare(&t2, &t0)
for i = 1; i < 1; i++ {
feSquare(&t2, &t2)
}
feMul(&t1, &t1, &t2)
feSquare(&t2, &t1)
for i = 1; i < 5; i++ {
feSquare(&t2, &t2)
}
feMul(&t1, &t2, &t1)
feSquare(&t2, &t1)
for i = 1; i < 10; i++ {
feSquare(&t2, &t2)
}
feMul(&t2, &t2, &t1)
feSquare(&t3, &t2)
for i = 1; i < 20; i++ {
feSquare(&t3, &t3)
}
feMul(&t2, &t3, &t2)
feSquare(&t2, &t2)
for i = 1; i < 10; i++ {
feSquare(&t2, &t2)
}
feMul(&t1, &t2, &t1)
feSquare(&t2, &t1)
for i = 1; i < 50; i++ {
feSquare(&t2, &t2)
}
feMul(&t2, &t2, &t1)
feSquare(&t3, &t2)
for i = 1; i < 100; i++ {
feSquare(&t3, &t3)
}
feMul(&t2, &t3, &t2)
feSquare(&t2, &t2)
for i = 1; i < 50; i++ {
feSquare(&t2, &t2)
}
feMul(&t1, &t2, &t1)
feSquare(&t1, &t1)
for i = 1; i < 5; i++ {
feSquare(&t1, &t1)
}
feMul(out, &t1, &t0)
} | feInvert sets out = z^-1. | feInvert | go | flynn/flynn | vendor/golang.org/x/crypto/curve25519/curve25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/curve25519/curve25519.go | BSD-3-Clause |
func ScalarMult(dst, in, base *[32]byte) {
scalarMult(dst, in, base)
} | ScalarMult sets dst to the product in*base where dst and base are the x
coordinates of group points and all values are in little-endian form. | ScalarMult | go | flynn/flynn | vendor/golang.org/x/crypto/curve25519/doc.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/curve25519/doc.go | BSD-3-Clause |
func ScalarBaseMult(dst, in *[32]byte) {
ScalarMult(dst, in, &basePoint)
} | ScalarBaseMult sets dst to the product in*base where dst and base are the x
coordinates of group points, base is the standard generator and all values
are in little-endian form. | ScalarBaseMult | go | flynn/flynn | vendor/golang.org/x/crypto/curve25519/doc.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/curve25519/doc.go | BSD-3-Clause |
func unpack(r *[5]uint64, x *[32]byte) {
r[0] = uint64(x[0]) |
uint64(x[1])<<8 |
uint64(x[2])<<16 |
uint64(x[3])<<24 |
uint64(x[4])<<32 |
uint64(x[5])<<40 |
uint64(x[6]&7)<<48
r[1] = uint64(x[6])>>3 |
uint64(x[7])<<5 |
uint64(x[8])<<13 |
uint64(x[9])<<21 |
uint64(x[10])<<29 |
uint64(x[11])<<37 |
uint64(x[12]&63)<<45
r[2] = uint64(x[12])>>6 |
uint64(x[13])<<2 |
uint64(x[14])<<10 |
uint64(x[15])<<18 |
uint64(x[16])<<26 |
uint64(x[17])<<34 |
uint64(x[18])<<42 |
uint64(x[19]&1)<<50
r[3] = uint64(x[19])>>1 |
uint64(x[20])<<7 |
uint64(x[21])<<15 |
uint64(x[22])<<23 |
uint64(x[23])<<31 |
uint64(x[24])<<39 |
uint64(x[25]&15)<<47
r[4] = uint64(x[25])>>4 |
uint64(x[26])<<4 |
uint64(x[27])<<12 |
uint64(x[28])<<20 |
uint64(x[29])<<28 |
uint64(x[30])<<36 |
uint64(x[31]&127)<<44
} | unpack sets r = x where r consists of 5, 51-bit limbs in little-endian
order. | unpack | go | flynn/flynn | vendor/golang.org/x/crypto/curve25519/mont25519_amd64.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/curve25519/mont25519_amd64.go | BSD-3-Clause |
func pack(out *[32]byte, x *[5]uint64) {
t := *x
freeze(&t)
out[0] = byte(t[0])
out[1] = byte(t[0] >> 8)
out[2] = byte(t[0] >> 16)
out[3] = byte(t[0] >> 24)
out[4] = byte(t[0] >> 32)
out[5] = byte(t[0] >> 40)
out[6] = byte(t[0] >> 48)
out[6] ^= byte(t[1]<<3) & 0xf8
out[7] = byte(t[1] >> 5)
out[8] = byte(t[1] >> 13)
out[9] = byte(t[1] >> 21)
out[10] = byte(t[1] >> 29)
out[11] = byte(t[1] >> 37)
out[12] = byte(t[1] >> 45)
out[12] ^= byte(t[2]<<6) & 0xc0
out[13] = byte(t[2] >> 2)
out[14] = byte(t[2] >> 10)
out[15] = byte(t[2] >> 18)
out[16] = byte(t[2] >> 26)
out[17] = byte(t[2] >> 34)
out[18] = byte(t[2] >> 42)
out[19] = byte(t[2] >> 50)
out[19] ^= byte(t[3]<<1) & 0xfe
out[20] = byte(t[3] >> 7)
out[21] = byte(t[3] >> 15)
out[22] = byte(t[3] >> 23)
out[23] = byte(t[3] >> 31)
out[24] = byte(t[3] >> 39)
out[25] = byte(t[3] >> 47)
out[25] ^= byte(t[4]<<4) & 0xf0
out[26] = byte(t[4] >> 4)
out[27] = byte(t[4] >> 12)
out[28] = byte(t[4] >> 20)
out[29] = byte(t[4] >> 28)
out[30] = byte(t[4] >> 36)
out[31] = byte(t[4] >> 44)
} | pack sets out = x where out is the usual, little-endian form of the 5,
51-bit limbs in x. | pack | go | flynn/flynn | vendor/golang.org/x/crypto/curve25519/mont25519_amd64.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/curve25519/mont25519_amd64.go | BSD-3-Clause |
func invert(r *[5]uint64, x *[5]uint64) {
var z2, z9, z11, z2_5_0, z2_10_0, z2_20_0, z2_50_0, z2_100_0, t [5]uint64
square(&z2, x) /* 2 */
square(&t, &z2) /* 4 */
square(&t, &t) /* 8 */
mul(&z9, &t, x) /* 9 */
mul(&z11, &z9, &z2) /* 11 */
square(&t, &z11) /* 22 */
mul(&z2_5_0, &t, &z9) /* 2^5 - 2^0 = 31 */
square(&t, &z2_5_0) /* 2^6 - 2^1 */
for i := 1; i < 5; i++ { /* 2^20 - 2^10 */
square(&t, &t)
}
mul(&z2_10_0, &t, &z2_5_0) /* 2^10 - 2^0 */
square(&t, &z2_10_0) /* 2^11 - 2^1 */
for i := 1; i < 10; i++ { /* 2^20 - 2^10 */
square(&t, &t)
}
mul(&z2_20_0, &t, &z2_10_0) /* 2^20 - 2^0 */
square(&t, &z2_20_0) /* 2^21 - 2^1 */
for i := 1; i < 20; i++ { /* 2^40 - 2^20 */
square(&t, &t)
}
mul(&t, &t, &z2_20_0) /* 2^40 - 2^0 */
square(&t, &t) /* 2^41 - 2^1 */
for i := 1; i < 10; i++ { /* 2^50 - 2^10 */
square(&t, &t)
}
mul(&z2_50_0, &t, &z2_10_0) /* 2^50 - 2^0 */
square(&t, &z2_50_0) /* 2^51 - 2^1 */
for i := 1; i < 50; i++ { /* 2^100 - 2^50 */
square(&t, &t)
}
mul(&z2_100_0, &t, &z2_50_0) /* 2^100 - 2^0 */
square(&t, &z2_100_0) /* 2^101 - 2^1 */
for i := 1; i < 100; i++ { /* 2^200 - 2^100 */
square(&t, &t)
}
mul(&t, &t, &z2_100_0) /* 2^200 - 2^0 */
square(&t, &t) /* 2^201 - 2^1 */
for i := 1; i < 50; i++ { /* 2^250 - 2^50 */
square(&t, &t)
}
mul(&t, &t, &z2_50_0) /* 2^250 - 2^0 */
square(&t, &t) /* 2^251 - 2^1 */
square(&t, &t) /* 2^252 - 2^2 */
square(&t, &t) /* 2^253 - 2^3 */
square(&t, &t) /* 2^254 - 2^4 */
square(&t, &t) /* 2^255 - 2^5 */
mul(r, &t, &z11) /* 2^255 - 21 */
} | invert calculates r = x^-1 mod p using Fermat's little theorem. | invert | go | flynn/flynn | vendor/golang.org/x/crypto/curve25519/mont25519_amd64.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/curve25519/mont25519_amd64.go | BSD-3-Clause |
func blockCopy(dst, src []uint32, n int) {
copy(dst, src[:n])
} | blockCopy copies n numbers from src into dst. | blockCopy | go | flynn/flynn | vendor/golang.org/x/crypto/scrypt/scrypt.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/scrypt/scrypt.go | BSD-3-Clause |
func blockXOR(dst, src []uint32, n int) {
for i, v := range src[:n] {
dst[i] ^= v
}
} | blockXOR XORs numbers from dst with n numbers from src. | blockXOR | go | flynn/flynn | vendor/golang.org/x/crypto/scrypt/scrypt.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/scrypt/scrypt.go | BSD-3-Clause |
func salsaXOR(tmp *[16]uint32, in, out []uint32) {
w0 := tmp[0] ^ in[0]
w1 := tmp[1] ^ in[1]
w2 := tmp[2] ^ in[2]
w3 := tmp[3] ^ in[3]
w4 := tmp[4] ^ in[4]
w5 := tmp[5] ^ in[5]
w6 := tmp[6] ^ in[6]
w7 := tmp[7] ^ in[7]
w8 := tmp[8] ^ in[8]
w9 := tmp[9] ^ in[9]
w10 := tmp[10] ^ in[10]
w11 := tmp[11] ^ in[11]
w12 := tmp[12] ^ in[12]
w13 := tmp[13] ^ in[13]
w14 := tmp[14] ^ in[14]
w15 := tmp[15] ^ in[15]
x0, x1, x2, x3, x4, x5, x6, x7, x8 := w0, w1, w2, w3, w4, w5, w6, w7, w8
x9, x10, x11, x12, x13, x14, x15 := w9, w10, w11, w12, w13, w14, w15
for i := 0; i < 8; i += 2 {
x4 ^= bits.RotateLeft32(x0+x12, 7)
x8 ^= bits.RotateLeft32(x4+x0, 9)
x12 ^= bits.RotateLeft32(x8+x4, 13)
x0 ^= bits.RotateLeft32(x12+x8, 18)
x9 ^= bits.RotateLeft32(x5+x1, 7)
x13 ^= bits.RotateLeft32(x9+x5, 9)
x1 ^= bits.RotateLeft32(x13+x9, 13)
x5 ^= bits.RotateLeft32(x1+x13, 18)
x14 ^= bits.RotateLeft32(x10+x6, 7)
x2 ^= bits.RotateLeft32(x14+x10, 9)
x6 ^= bits.RotateLeft32(x2+x14, 13)
x10 ^= bits.RotateLeft32(x6+x2, 18)
x3 ^= bits.RotateLeft32(x15+x11, 7)
x7 ^= bits.RotateLeft32(x3+x15, 9)
x11 ^= bits.RotateLeft32(x7+x3, 13)
x15 ^= bits.RotateLeft32(x11+x7, 18)
x1 ^= bits.RotateLeft32(x0+x3, 7)
x2 ^= bits.RotateLeft32(x1+x0, 9)
x3 ^= bits.RotateLeft32(x2+x1, 13)
x0 ^= bits.RotateLeft32(x3+x2, 18)
x6 ^= bits.RotateLeft32(x5+x4, 7)
x7 ^= bits.RotateLeft32(x6+x5, 9)
x4 ^= bits.RotateLeft32(x7+x6, 13)
x5 ^= bits.RotateLeft32(x4+x7, 18)
x11 ^= bits.RotateLeft32(x10+x9, 7)
x8 ^= bits.RotateLeft32(x11+x10, 9)
x9 ^= bits.RotateLeft32(x8+x11, 13)
x10 ^= bits.RotateLeft32(x9+x8, 18)
x12 ^= bits.RotateLeft32(x15+x14, 7)
x13 ^= bits.RotateLeft32(x12+x15, 9)
x14 ^= bits.RotateLeft32(x13+x12, 13)
x15 ^= bits.RotateLeft32(x14+x13, 18)
}
x0 += w0
x1 += w1
x2 += w2
x3 += w3
x4 += w4
x5 += w5
x6 += w6
x7 += w7
x8 += w8
x9 += w9
x10 += w10
x11 += w11
x12 += w12
x13 += w13
x14 += w14
x15 += w15
out[0], tmp[0] = x0, x0
out[1], tmp[1] = x1, x1
out[2], tmp[2] = x2, x2
out[3], tmp[3] = x3, x3
out[4], tmp[4] = x4, x4
out[5], tmp[5] = x5, x5
out[6], tmp[6] = x6, x6
out[7], tmp[7] = x7, x7
out[8], tmp[8] = x8, x8
out[9], tmp[9] = x9, x9
out[10], tmp[10] = x10, x10
out[11], tmp[11] = x11, x11
out[12], tmp[12] = x12, x12
out[13], tmp[13] = x13, x13
out[14], tmp[14] = x14, x14
out[15], tmp[15] = x15, x15
} | salsaXOR applies Salsa20/8 to the XOR of 16 numbers from tmp and in,
and puts the result into both tmp and out. | salsaXOR | go | flynn/flynn | vendor/golang.org/x/crypto/scrypt/scrypt.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/scrypt/scrypt.go | BSD-3-Clause |
func Key(password, salt []byte, N, r, p, keyLen int) ([]byte, error) {
if N <= 1 || N&(N-1) != 0 {
return nil, errors.New("scrypt: N must be > 1 and a power of 2")
}
if uint64(r)*uint64(p) >= 1<<30 || r > maxInt/128/p || r > maxInt/256 || N > maxInt/128/r {
return nil, errors.New("scrypt: parameters are too large")
}
xy := make([]uint32, 64*r)
v := make([]uint32, 32*N*r)
b := pbkdf2.Key(password, salt, 1, p*128*r, sha256.New)
for i := 0; i < p; i++ {
smix(b[i*128*r:], r, N, v, xy)
}
return pbkdf2.Key(password, b, 1, keyLen, sha256.New), nil
} | Key derives a key from the password, salt, and cost parameters, returning
a byte slice of length keyLen that can be used as cryptographic key.
N is a CPU/memory cost parameter, which must be a power of two greater than 1.
r and p must satisfy r * p < 2³⁰. If the parameters do not satisfy the
limits, the function returns a nil byte slice and an error.
For example, you can get a derived key for e.g. AES-256 (which needs a
32-byte key) by doing:
dk, err := scrypt.Key([]byte("some password"), salt, 32768, 8, 1, 32)
The recommended parameters for interactive logins as of 2017 are N=32768, r=8
and p=1. The parameters N, r, and p should be increased as memory latency and
CPU parallelism increases; consider setting N to the highest power of 2 you
can derive within 100 milliseconds. Remember to get a good random salt. | Key | go | flynn/flynn | vendor/golang.org/x/crypto/scrypt/scrypt.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/scrypt/scrypt.go | BSD-3-Clause |
func core(out *[64]byte, in *[16]byte, k *[32]byte, c *[16]byte) {
j0 := uint32(c[0]) | uint32(c[1])<<8 | uint32(c[2])<<16 | uint32(c[3])<<24
j1 := uint32(k[0]) | uint32(k[1])<<8 | uint32(k[2])<<16 | uint32(k[3])<<24
j2 := uint32(k[4]) | uint32(k[5])<<8 | uint32(k[6])<<16 | uint32(k[7])<<24
j3 := uint32(k[8]) | uint32(k[9])<<8 | uint32(k[10])<<16 | uint32(k[11])<<24
j4 := uint32(k[12]) | uint32(k[13])<<8 | uint32(k[14])<<16 | uint32(k[15])<<24
j5 := uint32(c[4]) | uint32(c[5])<<8 | uint32(c[6])<<16 | uint32(c[7])<<24
j6 := uint32(in[0]) | uint32(in[1])<<8 | uint32(in[2])<<16 | uint32(in[3])<<24
j7 := uint32(in[4]) | uint32(in[5])<<8 | uint32(in[6])<<16 | uint32(in[7])<<24
j8 := uint32(in[8]) | uint32(in[9])<<8 | uint32(in[10])<<16 | uint32(in[11])<<24
j9 := uint32(in[12]) | uint32(in[13])<<8 | uint32(in[14])<<16 | uint32(in[15])<<24
j10 := uint32(c[8]) | uint32(c[9])<<8 | uint32(c[10])<<16 | uint32(c[11])<<24
j11 := uint32(k[16]) | uint32(k[17])<<8 | uint32(k[18])<<16 | uint32(k[19])<<24
j12 := uint32(k[20]) | uint32(k[21])<<8 | uint32(k[22])<<16 | uint32(k[23])<<24
j13 := uint32(k[24]) | uint32(k[25])<<8 | uint32(k[26])<<16 | uint32(k[27])<<24
j14 := uint32(k[28]) | uint32(k[29])<<8 | uint32(k[30])<<16 | uint32(k[31])<<24
j15 := uint32(c[12]) | uint32(c[13])<<8 | uint32(c[14])<<16 | uint32(c[15])<<24
x0, x1, x2, x3, x4, x5, x6, x7, x8 := j0, j1, j2, j3, j4, j5, j6, j7, j8
x9, x10, x11, x12, x13, x14, x15 := j9, j10, j11, j12, j13, j14, j15
for i := 0; i < rounds; i += 2 {
u := x0 + x12
x4 ^= u<<7 | u>>(32-7)
u = x4 + x0
x8 ^= u<<9 | u>>(32-9)
u = x8 + x4
x12 ^= u<<13 | u>>(32-13)
u = x12 + x8
x0 ^= u<<18 | u>>(32-18)
u = x5 + x1
x9 ^= u<<7 | u>>(32-7)
u = x9 + x5
x13 ^= u<<9 | u>>(32-9)
u = x13 + x9
x1 ^= u<<13 | u>>(32-13)
u = x1 + x13
x5 ^= u<<18 | u>>(32-18)
u = x10 + x6
x14 ^= u<<7 | u>>(32-7)
u = x14 + x10
x2 ^= u<<9 | u>>(32-9)
u = x2 + x14
x6 ^= u<<13 | u>>(32-13)
u = x6 + x2
x10 ^= u<<18 | u>>(32-18)
u = x15 + x11
x3 ^= u<<7 | u>>(32-7)
u = x3 + x15
x7 ^= u<<9 | u>>(32-9)
u = x7 + x3
x11 ^= u<<13 | u>>(32-13)
u = x11 + x7
x15 ^= u<<18 | u>>(32-18)
u = x0 + x3
x1 ^= u<<7 | u>>(32-7)
u = x1 + x0
x2 ^= u<<9 | u>>(32-9)
u = x2 + x1
x3 ^= u<<13 | u>>(32-13)
u = x3 + x2
x0 ^= u<<18 | u>>(32-18)
u = x5 + x4
x6 ^= u<<7 | u>>(32-7)
u = x6 + x5
x7 ^= u<<9 | u>>(32-9)
u = x7 + x6
x4 ^= u<<13 | u>>(32-13)
u = x4 + x7
x5 ^= u<<18 | u>>(32-18)
u = x10 + x9
x11 ^= u<<7 | u>>(32-7)
u = x11 + x10
x8 ^= u<<9 | u>>(32-9)
u = x8 + x11
x9 ^= u<<13 | u>>(32-13)
u = x9 + x8
x10 ^= u<<18 | u>>(32-18)
u = x15 + x14
x12 ^= u<<7 | u>>(32-7)
u = x12 + x15
x13 ^= u<<9 | u>>(32-9)
u = x13 + x12
x14 ^= u<<13 | u>>(32-13)
u = x14 + x13
x15 ^= u<<18 | u>>(32-18)
}
x0 += j0
x1 += j1
x2 += j2
x3 += j3
x4 += j4
x5 += j5
x6 += j6
x7 += j7
x8 += j8
x9 += j9
x10 += j10
x11 += j11
x12 += j12
x13 += j13
x14 += j14
x15 += j15
out[0] = byte(x0)
out[1] = byte(x0 >> 8)
out[2] = byte(x0 >> 16)
out[3] = byte(x0 >> 24)
out[4] = byte(x1)
out[5] = byte(x1 >> 8)
out[6] = byte(x1 >> 16)
out[7] = byte(x1 >> 24)
out[8] = byte(x2)
out[9] = byte(x2 >> 8)
out[10] = byte(x2 >> 16)
out[11] = byte(x2 >> 24)
out[12] = byte(x3)
out[13] = byte(x3 >> 8)
out[14] = byte(x3 >> 16)
out[15] = byte(x3 >> 24)
out[16] = byte(x4)
out[17] = byte(x4 >> 8)
out[18] = byte(x4 >> 16)
out[19] = byte(x4 >> 24)
out[20] = byte(x5)
out[21] = byte(x5 >> 8)
out[22] = byte(x5 >> 16)
out[23] = byte(x5 >> 24)
out[24] = byte(x6)
out[25] = byte(x6 >> 8)
out[26] = byte(x6 >> 16)
out[27] = byte(x6 >> 24)
out[28] = byte(x7)
out[29] = byte(x7 >> 8)
out[30] = byte(x7 >> 16)
out[31] = byte(x7 >> 24)
out[32] = byte(x8)
out[33] = byte(x8 >> 8)
out[34] = byte(x8 >> 16)
out[35] = byte(x8 >> 24)
out[36] = byte(x9)
out[37] = byte(x9 >> 8)
out[38] = byte(x9 >> 16)
out[39] = byte(x9 >> 24)
out[40] = byte(x10)
out[41] = byte(x10 >> 8)
out[42] = byte(x10 >> 16)
out[43] = byte(x10 >> 24)
out[44] = byte(x11)
out[45] = byte(x11 >> 8)
out[46] = byte(x11 >> 16)
out[47] = byte(x11 >> 24)
out[48] = byte(x12)
out[49] = byte(x12 >> 8)
out[50] = byte(x12 >> 16)
out[51] = byte(x12 >> 24)
out[52] = byte(x13)
out[53] = byte(x13 >> 8)
out[54] = byte(x13 >> 16)
out[55] = byte(x13 >> 24)
out[56] = byte(x14)
out[57] = byte(x14 >> 8)
out[58] = byte(x14 >> 16)
out[59] = byte(x14 >> 24)
out[60] = byte(x15)
out[61] = byte(x15 >> 8)
out[62] = byte(x15 >> 16)
out[63] = byte(x15 >> 24)
} | core applies the Salsa20 core function to 16-byte input in, 32-byte key k,
and 16-byte constant c, and puts the result into 64-byte array out. | core | go | flynn/flynn | vendor/golang.org/x/crypto/salsa20/salsa/salsa20_ref.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/salsa20/salsa/salsa20_ref.go | BSD-3-Clause |
func genericXORKeyStream(out, in []byte, counter *[16]byte, key *[32]byte) {
var block [64]byte
var counterCopy [16]byte
copy(counterCopy[:], counter[:])
for len(in) >= 64 {
core(&block, &counterCopy, key, &Sigma)
for i, x := range block {
out[i] = in[i] ^ x
}
u := uint32(1)
for i := 8; i < 16; i++ {
u += uint32(counterCopy[i])
counterCopy[i] = byte(u)
u >>= 8
}
in = in[64:]
out = out[64:]
}
if len(in) > 0 {
core(&block, &counterCopy, key, &Sigma)
for i, v := range in {
out[i] = v ^ block[i]
}
}
} | genericXORKeyStream is the generic implementation of XORKeyStream to be used
when no assembly implementation is available. | genericXORKeyStream | go | flynn/flynn | vendor/golang.org/x/crypto/salsa20/salsa/salsa20_ref.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/salsa20/salsa/salsa20_ref.go | BSD-3-Clause |
func HSalsa20(out *[32]byte, in *[16]byte, k *[32]byte, c *[16]byte) {
x0 := uint32(c[0]) | uint32(c[1])<<8 | uint32(c[2])<<16 | uint32(c[3])<<24
x1 := uint32(k[0]) | uint32(k[1])<<8 | uint32(k[2])<<16 | uint32(k[3])<<24
x2 := uint32(k[4]) | uint32(k[5])<<8 | uint32(k[6])<<16 | uint32(k[7])<<24
x3 := uint32(k[8]) | uint32(k[9])<<8 | uint32(k[10])<<16 | uint32(k[11])<<24
x4 := uint32(k[12]) | uint32(k[13])<<8 | uint32(k[14])<<16 | uint32(k[15])<<24
x5 := uint32(c[4]) | uint32(c[5])<<8 | uint32(c[6])<<16 | uint32(c[7])<<24
x6 := uint32(in[0]) | uint32(in[1])<<8 | uint32(in[2])<<16 | uint32(in[3])<<24
x7 := uint32(in[4]) | uint32(in[5])<<8 | uint32(in[6])<<16 | uint32(in[7])<<24
x8 := uint32(in[8]) | uint32(in[9])<<8 | uint32(in[10])<<16 | uint32(in[11])<<24
x9 := uint32(in[12]) | uint32(in[13])<<8 | uint32(in[14])<<16 | uint32(in[15])<<24
x10 := uint32(c[8]) | uint32(c[9])<<8 | uint32(c[10])<<16 | uint32(c[11])<<24
x11 := uint32(k[16]) | uint32(k[17])<<8 | uint32(k[18])<<16 | uint32(k[19])<<24
x12 := uint32(k[20]) | uint32(k[21])<<8 | uint32(k[22])<<16 | uint32(k[23])<<24
x13 := uint32(k[24]) | uint32(k[25])<<8 | uint32(k[26])<<16 | uint32(k[27])<<24
x14 := uint32(k[28]) | uint32(k[29])<<8 | uint32(k[30])<<16 | uint32(k[31])<<24
x15 := uint32(c[12]) | uint32(c[13])<<8 | uint32(c[14])<<16 | uint32(c[15])<<24
for i := 0; i < 20; i += 2 {
u := x0 + x12
x4 ^= u<<7 | u>>(32-7)
u = x4 + x0
x8 ^= u<<9 | u>>(32-9)
u = x8 + x4
x12 ^= u<<13 | u>>(32-13)
u = x12 + x8
x0 ^= u<<18 | u>>(32-18)
u = x5 + x1
x9 ^= u<<7 | u>>(32-7)
u = x9 + x5
x13 ^= u<<9 | u>>(32-9)
u = x13 + x9
x1 ^= u<<13 | u>>(32-13)
u = x1 + x13
x5 ^= u<<18 | u>>(32-18)
u = x10 + x6
x14 ^= u<<7 | u>>(32-7)
u = x14 + x10
x2 ^= u<<9 | u>>(32-9)
u = x2 + x14
x6 ^= u<<13 | u>>(32-13)
u = x6 + x2
x10 ^= u<<18 | u>>(32-18)
u = x15 + x11
x3 ^= u<<7 | u>>(32-7)
u = x3 + x15
x7 ^= u<<9 | u>>(32-9)
u = x7 + x3
x11 ^= u<<13 | u>>(32-13)
u = x11 + x7
x15 ^= u<<18 | u>>(32-18)
u = x0 + x3
x1 ^= u<<7 | u>>(32-7)
u = x1 + x0
x2 ^= u<<9 | u>>(32-9)
u = x2 + x1
x3 ^= u<<13 | u>>(32-13)
u = x3 + x2
x0 ^= u<<18 | u>>(32-18)
u = x5 + x4
x6 ^= u<<7 | u>>(32-7)
u = x6 + x5
x7 ^= u<<9 | u>>(32-9)
u = x7 + x6
x4 ^= u<<13 | u>>(32-13)
u = x4 + x7
x5 ^= u<<18 | u>>(32-18)
u = x10 + x9
x11 ^= u<<7 | u>>(32-7)
u = x11 + x10
x8 ^= u<<9 | u>>(32-9)
u = x8 + x11
x9 ^= u<<13 | u>>(32-13)
u = x9 + x8
x10 ^= u<<18 | u>>(32-18)
u = x15 + x14
x12 ^= u<<7 | u>>(32-7)
u = x12 + x15
x13 ^= u<<9 | u>>(32-9)
u = x13 + x12
x14 ^= u<<13 | u>>(32-13)
u = x14 + x13
x15 ^= u<<18 | u>>(32-18)
}
out[0] = byte(x0)
out[1] = byte(x0 >> 8)
out[2] = byte(x0 >> 16)
out[3] = byte(x0 >> 24)
out[4] = byte(x5)
out[5] = byte(x5 >> 8)
out[6] = byte(x5 >> 16)
out[7] = byte(x5 >> 24)
out[8] = byte(x10)
out[9] = byte(x10 >> 8)
out[10] = byte(x10 >> 16)
out[11] = byte(x10 >> 24)
out[12] = byte(x15)
out[13] = byte(x15 >> 8)
out[14] = byte(x15 >> 16)
out[15] = byte(x15 >> 24)
out[16] = byte(x6)
out[17] = byte(x6 >> 8)
out[18] = byte(x6 >> 16)
out[19] = byte(x6 >> 24)
out[20] = byte(x7)
out[21] = byte(x7 >> 8)
out[22] = byte(x7 >> 16)
out[23] = byte(x7 >> 24)
out[24] = byte(x8)
out[25] = byte(x8 >> 8)
out[26] = byte(x8 >> 16)
out[27] = byte(x8 >> 24)
out[28] = byte(x9)
out[29] = byte(x9 >> 8)
out[30] = byte(x9 >> 16)
out[31] = byte(x9 >> 24)
} | HSalsa20 applies the HSalsa20 core function to a 16-byte input in, 32-byte
key k, and 16-byte constant c, and puts the result into the 32-byte array
out. | HSalsa20 | go | flynn/flynn | vendor/golang.org/x/crypto/salsa20/salsa/hsalsa20.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/salsa20/salsa/hsalsa20.go | BSD-3-Clause |
func XORKeyStream(out, in []byte, counter *[16]byte, key *[32]byte) {
genericXORKeyStream(out, in, counter, key)
} | XORKeyStream crypts bytes from in to out using the given key and counters.
In and out must overlap entirely or not at all. Counter
contains the raw salsa20 counter bytes (both nonce and block counter). | XORKeyStream | go | flynn/flynn | vendor/golang.org/x/crypto/salsa20/salsa/salsa20_noasm.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/salsa20/salsa/salsa20_noasm.go | BSD-3-Clause |
func Core208(out *[64]byte, in *[64]byte) {
j0 := uint32(in[0]) | uint32(in[1])<<8 | uint32(in[2])<<16 | uint32(in[3])<<24
j1 := uint32(in[4]) | uint32(in[5])<<8 | uint32(in[6])<<16 | uint32(in[7])<<24
j2 := uint32(in[8]) | uint32(in[9])<<8 | uint32(in[10])<<16 | uint32(in[11])<<24
j3 := uint32(in[12]) | uint32(in[13])<<8 | uint32(in[14])<<16 | uint32(in[15])<<24
j4 := uint32(in[16]) | uint32(in[17])<<8 | uint32(in[18])<<16 | uint32(in[19])<<24
j5 := uint32(in[20]) | uint32(in[21])<<8 | uint32(in[22])<<16 | uint32(in[23])<<24
j6 := uint32(in[24]) | uint32(in[25])<<8 | uint32(in[26])<<16 | uint32(in[27])<<24
j7 := uint32(in[28]) | uint32(in[29])<<8 | uint32(in[30])<<16 | uint32(in[31])<<24
j8 := uint32(in[32]) | uint32(in[33])<<8 | uint32(in[34])<<16 | uint32(in[35])<<24
j9 := uint32(in[36]) | uint32(in[37])<<8 | uint32(in[38])<<16 | uint32(in[39])<<24
j10 := uint32(in[40]) | uint32(in[41])<<8 | uint32(in[42])<<16 | uint32(in[43])<<24
j11 := uint32(in[44]) | uint32(in[45])<<8 | uint32(in[46])<<16 | uint32(in[47])<<24
j12 := uint32(in[48]) | uint32(in[49])<<8 | uint32(in[50])<<16 | uint32(in[51])<<24
j13 := uint32(in[52]) | uint32(in[53])<<8 | uint32(in[54])<<16 | uint32(in[55])<<24
j14 := uint32(in[56]) | uint32(in[57])<<8 | uint32(in[58])<<16 | uint32(in[59])<<24
j15 := uint32(in[60]) | uint32(in[61])<<8 | uint32(in[62])<<16 | uint32(in[63])<<24
x0, x1, x2, x3, x4, x5, x6, x7, x8 := j0, j1, j2, j3, j4, j5, j6, j7, j8
x9, x10, x11, x12, x13, x14, x15 := j9, j10, j11, j12, j13, j14, j15
for i := 0; i < 8; i += 2 {
u := x0 + x12
x4 ^= u<<7 | u>>(32-7)
u = x4 + x0
x8 ^= u<<9 | u>>(32-9)
u = x8 + x4
x12 ^= u<<13 | u>>(32-13)
u = x12 + x8
x0 ^= u<<18 | u>>(32-18)
u = x5 + x1
x9 ^= u<<7 | u>>(32-7)
u = x9 + x5
x13 ^= u<<9 | u>>(32-9)
u = x13 + x9
x1 ^= u<<13 | u>>(32-13)
u = x1 + x13
x5 ^= u<<18 | u>>(32-18)
u = x10 + x6
x14 ^= u<<7 | u>>(32-7)
u = x14 + x10
x2 ^= u<<9 | u>>(32-9)
u = x2 + x14
x6 ^= u<<13 | u>>(32-13)
u = x6 + x2
x10 ^= u<<18 | u>>(32-18)
u = x15 + x11
x3 ^= u<<7 | u>>(32-7)
u = x3 + x15
x7 ^= u<<9 | u>>(32-9)
u = x7 + x3
x11 ^= u<<13 | u>>(32-13)
u = x11 + x7
x15 ^= u<<18 | u>>(32-18)
u = x0 + x3
x1 ^= u<<7 | u>>(32-7)
u = x1 + x0
x2 ^= u<<9 | u>>(32-9)
u = x2 + x1
x3 ^= u<<13 | u>>(32-13)
u = x3 + x2
x0 ^= u<<18 | u>>(32-18)
u = x5 + x4
x6 ^= u<<7 | u>>(32-7)
u = x6 + x5
x7 ^= u<<9 | u>>(32-9)
u = x7 + x6
x4 ^= u<<13 | u>>(32-13)
u = x4 + x7
x5 ^= u<<18 | u>>(32-18)
u = x10 + x9
x11 ^= u<<7 | u>>(32-7)
u = x11 + x10
x8 ^= u<<9 | u>>(32-9)
u = x8 + x11
x9 ^= u<<13 | u>>(32-13)
u = x9 + x8
x10 ^= u<<18 | u>>(32-18)
u = x15 + x14
x12 ^= u<<7 | u>>(32-7)
u = x12 + x15
x13 ^= u<<9 | u>>(32-9)
u = x13 + x12
x14 ^= u<<13 | u>>(32-13)
u = x14 + x13
x15 ^= u<<18 | u>>(32-18)
}
x0 += j0
x1 += j1
x2 += j2
x3 += j3
x4 += j4
x5 += j5
x6 += j6
x7 += j7
x8 += j8
x9 += j9
x10 += j10
x11 += j11
x12 += j12
x13 += j13
x14 += j14
x15 += j15
out[0] = byte(x0)
out[1] = byte(x0 >> 8)
out[2] = byte(x0 >> 16)
out[3] = byte(x0 >> 24)
out[4] = byte(x1)
out[5] = byte(x1 >> 8)
out[6] = byte(x1 >> 16)
out[7] = byte(x1 >> 24)
out[8] = byte(x2)
out[9] = byte(x2 >> 8)
out[10] = byte(x2 >> 16)
out[11] = byte(x2 >> 24)
out[12] = byte(x3)
out[13] = byte(x3 >> 8)
out[14] = byte(x3 >> 16)
out[15] = byte(x3 >> 24)
out[16] = byte(x4)
out[17] = byte(x4 >> 8)
out[18] = byte(x4 >> 16)
out[19] = byte(x4 >> 24)
out[20] = byte(x5)
out[21] = byte(x5 >> 8)
out[22] = byte(x5 >> 16)
out[23] = byte(x5 >> 24)
out[24] = byte(x6)
out[25] = byte(x6 >> 8)
out[26] = byte(x6 >> 16)
out[27] = byte(x6 >> 24)
out[28] = byte(x7)
out[29] = byte(x7 >> 8)
out[30] = byte(x7 >> 16)
out[31] = byte(x7 >> 24)
out[32] = byte(x8)
out[33] = byte(x8 >> 8)
out[34] = byte(x8 >> 16)
out[35] = byte(x8 >> 24)
out[36] = byte(x9)
out[37] = byte(x9 >> 8)
out[38] = byte(x9 >> 16)
out[39] = byte(x9 >> 24)
out[40] = byte(x10)
out[41] = byte(x10 >> 8)
out[42] = byte(x10 >> 16)
out[43] = byte(x10 >> 24)
out[44] = byte(x11)
out[45] = byte(x11 >> 8)
out[46] = byte(x11 >> 16)
out[47] = byte(x11 >> 24)
out[48] = byte(x12)
out[49] = byte(x12 >> 8)
out[50] = byte(x12 >> 16)
out[51] = byte(x12 >> 24)
out[52] = byte(x13)
out[53] = byte(x13 >> 8)
out[54] = byte(x13 >> 16)
out[55] = byte(x13 >> 24)
out[56] = byte(x14)
out[57] = byte(x14 >> 8)
out[58] = byte(x14 >> 16)
out[59] = byte(x14 >> 24)
out[60] = byte(x15)
out[61] = byte(x15 >> 8)
out[62] = byte(x15 >> 16)
out[63] = byte(x15 >> 24)
} | Core208 applies the Salsa20/8 core function to the 64-byte array in and puts
the result into the 64-byte array out. The input and output may be the same array. | Core208 | go | flynn/flynn | vendor/golang.org/x/crypto/salsa20/salsa/salsa208.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/salsa20/salsa/salsa208.go | BSD-3-Clause |
func salsa2020XORKeyStream(out, in *byte, n uint64, nonce, key *byte)
// XORKeyStream crypts bytes from in to out using the given key and counters.
// In and out must overlap entirely or not at all. Counter
// contains the raw salsa20 counter bytes (both nonce and block counter).
func XORKeyStream(out, in []byte, counter *[16]byte, key *[32]byte) {
if len(in) == 0 {
return
}
_ = out[len(in)-1]
salsa2020XORKeyStream(&out[0], &in[0], uint64(len(in)), &counter[0], &key[0])
} | salsa2020XORKeyStream is implemented in salsa20_amd64.s. | salsa2020XORKeyStream | go | flynn/flynn | vendor/golang.org/x/crypto/salsa20/salsa/salsa20_amd64.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/salsa20/salsa/salsa20_amd64.go | BSD-3-Clause |
func AnyOverlap(x, y []byte) bool {
return len(x) > 0 && len(y) > 0 &&
uintptr(unsafe.Pointer(&x[0])) <= uintptr(unsafe.Pointer(&y[len(y)-1])) &&
uintptr(unsafe.Pointer(&y[0])) <= uintptr(unsafe.Pointer(&x[len(x)-1]))
} | AnyOverlap reports whether x and y share memory at any (not necessarily
corresponding) index. The memory beyond the slice length is ignored. | AnyOverlap | go | flynn/flynn | vendor/golang.org/x/crypto/internal/subtle/aliasing.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/internal/subtle/aliasing.go | BSD-3-Clause |
func InexactOverlap(x, y []byte) bool {
if len(x) == 0 || len(y) == 0 || &x[0] == &y[0] {
return false
}
return AnyOverlap(x, y)
} | InexactOverlap reports whether x and y share memory at any non-corresponding
index. The memory beyond the slice length is ignored. Note that x and y can
have different lengths and still not have any inexact overlap.
InexactOverlap can be used to implement the requirements of the crypto/cipher
AEAD, Block, BlockMode and Stream interfaces. | InexactOverlap | go | flynn/flynn | vendor/golang.org/x/crypto/internal/subtle/aliasing.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/internal/subtle/aliasing.go | BSD-3-Clause |
func AnyOverlap(x, y []byte) bool {
return len(x) > 0 && len(y) > 0 &&
reflect.ValueOf(&x[0]).Pointer() <= reflect.ValueOf(&y[len(y)-1]).Pointer() &&
reflect.ValueOf(&y[0]).Pointer() <= reflect.ValueOf(&x[len(x)-1]).Pointer()
} | AnyOverlap reports whether x and y share memory at any (not necessarily
corresponding) index. The memory beyond the slice length is ignored. | AnyOverlap | go | flynn/flynn | vendor/golang.org/x/crypto/internal/subtle/aliasing_appengine.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/internal/subtle/aliasing_appengine.go | BSD-3-Clause |
func InexactOverlap(x, y []byte) bool {
if len(x) == 0 || len(y) == 0 || &x[0] == &y[0] {
return false
}
return AnyOverlap(x, y)
} | InexactOverlap reports whether x and y share memory at any non-corresponding
index. The memory beyond the slice length is ignored. Note that x and y can
have different lengths and still not have any inexact overlap.
InexactOverlap can be used to implement the requirements of the crypto/cipher
AEAD, Block, BlockMode and Stream interfaces. | InexactOverlap | go | flynn/flynn | vendor/golang.org/x/crypto/internal/subtle/aliasing_appengine.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/internal/subtle/aliasing_appengine.go | BSD-3-Clause |
func New(key [8]uint32, nonce [3]uint32) *Cipher {
return &Cipher{key: key, nonce: nonce}
} | New creates a new ChaCha20 stream cipher with the given key and nonce.
The initial counter value is set to 0. | New | go | flynn/flynn | vendor/golang.org/x/crypto/internal/chacha20/chacha_generic.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/internal/chacha20/chacha_generic.go | BSD-3-Clause |
func (s *Cipher) XORKeyStream(dst, src []byte) {
if len(dst) < len(src) {
panic("chacha20: output smaller than input")
}
if subtle.InexactOverlap(dst[:len(src)], src) {
panic("chacha20: invalid buffer overlap")
}
// xor src with buffered keystream first
if s.len != 0 {
buf := s.buf[len(s.buf)-s.len:]
if len(src) < len(buf) {
buf = buf[:len(src)]
}
td, ts := dst[:len(buf)], src[:len(buf)] // BCE hint
for i, b := range buf {
td[i] = ts[i] ^ b
}
s.len -= len(buf)
if s.len != 0 {
return
}
s.buf = [len(s.buf)]byte{} // zero the empty buffer
src = src[len(buf):]
dst = dst[len(buf):]
}
if len(src) == 0 {
return
}
if haveAsm {
if uint64(len(src))+uint64(s.counter)*64 > (1<<38)-64 {
panic("chacha20: counter overflow")
}
s.xorKeyStreamAsm(dst, src)
return
}
// set up a 64-byte buffer to pad out the final block if needed
// (hoisted out of the main loop to avoid spills)
rem := len(src) % 64 // length of final block
fin := len(src) - rem // index of final block
if rem > 0 {
copy(s.buf[len(s.buf)-64:], src[fin:])
}
// pre-calculate most of the first round
s1, s5, s9, s13 := quarterRound(j1, s.key[1], s.key[5], s.nonce[0])
s2, s6, s10, s14 := quarterRound(j2, s.key[2], s.key[6], s.nonce[1])
s3, s7, s11, s15 := quarterRound(j3, s.key[3], s.key[7], s.nonce[2])
n := len(src)
src, dst = src[:n:n], dst[:n:n] // BCE hint
for i := 0; i < n; i += 64 {
// calculate the remainder of the first round
s0, s4, s8, s12 := quarterRound(j0, s.key[0], s.key[4], s.counter)
// execute the second round
x0, x5, x10, x15 := quarterRound(s0, s5, s10, s15)
x1, x6, x11, x12 := quarterRound(s1, s6, s11, s12)
x2, x7, x8, x13 := quarterRound(s2, s7, s8, s13)
x3, x4, x9, x14 := quarterRound(s3, s4, s9, s14)
// execute the remaining 18 rounds
for i := 0; i < 9; i++ {
x0, x4, x8, x12 = quarterRound(x0, x4, x8, x12)
x1, x5, x9, x13 = quarterRound(x1, x5, x9, x13)
x2, x6, x10, x14 = quarterRound(x2, x6, x10, x14)
x3, x7, x11, x15 = quarterRound(x3, x7, x11, x15)
x0, x5, x10, x15 = quarterRound(x0, x5, x10, x15)
x1, x6, x11, x12 = quarterRound(x1, x6, x11, x12)
x2, x7, x8, x13 = quarterRound(x2, x7, x8, x13)
x3, x4, x9, x14 = quarterRound(x3, x4, x9, x14)
}
x0 += j0
x1 += j1
x2 += j2
x3 += j3
x4 += s.key[0]
x5 += s.key[1]
x6 += s.key[2]
x7 += s.key[3]
x8 += s.key[4]
x9 += s.key[5]
x10 += s.key[6]
x11 += s.key[7]
x12 += s.counter
x13 += s.nonce[0]
x14 += s.nonce[1]
x15 += s.nonce[2]
// increment the counter
s.counter += 1
if s.counter == 0 {
panic("chacha20: counter overflow")
}
// pad to 64 bytes if needed
in, out := src[i:], dst[i:]
if i == fin {
// src[fin:] has already been copied into s.buf before
// the main loop
in, out = s.buf[len(s.buf)-64:], s.buf[len(s.buf)-64:]
}
in, out = in[:64], out[:64] // BCE hint
// XOR the key stream with the source and write out the result
xor(out[0:], in[0:], x0)
xor(out[4:], in[4:], x1)
xor(out[8:], in[8:], x2)
xor(out[12:], in[12:], x3)
xor(out[16:], in[16:], x4)
xor(out[20:], in[20:], x5)
xor(out[24:], in[24:], x6)
xor(out[28:], in[28:], x7)
xor(out[32:], in[32:], x8)
xor(out[36:], in[36:], x9)
xor(out[40:], in[40:], x10)
xor(out[44:], in[44:], x11)
xor(out[48:], in[48:], x12)
xor(out[52:], in[52:], x13)
xor(out[56:], in[56:], x14)
xor(out[60:], in[60:], x15)
}
// copy any trailing bytes out of the buffer and into dst
if rem != 0 {
s.len = 64 - rem
copy(dst[fin:], s.buf[len(s.buf)-64:])
}
} | XORKeyStream XORs each byte in the given slice with a byte from the
cipher's key stream. Dst and src must overlap entirely or not at all.
If len(dst) < len(src), XORKeyStream will panic. It is acceptable
to pass a dst bigger than src, and in that case, XORKeyStream will
only update dst[:len(src)] and will not touch the rest of dst.
Multiple calls to XORKeyStream behave as if the concatenation of
the src buffers was passed in a single run. That is, Cipher
maintains state and does not reset at each XORKeyStream call. | XORKeyStream | go | flynn/flynn | vendor/golang.org/x/crypto/internal/chacha20/chacha_generic.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/internal/chacha20/chacha_generic.go | BSD-3-Clause |
func (s *Cipher) Advance() {
s.len -= s.len % 64
if s.len == 0 {
s.buf = [len(s.buf)]byte{}
}
} | Advance discards bytes in the key stream until the next 64 byte block
boundary is reached and updates the counter accordingly. If the key
stream is already at a block boundary no bytes will be discarded and
the counter will be unchanged. | Advance | go | flynn/flynn | vendor/golang.org/x/crypto/internal/chacha20/chacha_generic.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/internal/chacha20/chacha_generic.go | BSD-3-Clause |
func XORKeyStream(out, in []byte, counter *[16]byte, key *[32]byte) {
s := Cipher{
key: [8]uint32{
binary.LittleEndian.Uint32(key[0:4]),
binary.LittleEndian.Uint32(key[4:8]),
binary.LittleEndian.Uint32(key[8:12]),
binary.LittleEndian.Uint32(key[12:16]),
binary.LittleEndian.Uint32(key[16:20]),
binary.LittleEndian.Uint32(key[20:24]),
binary.LittleEndian.Uint32(key[24:28]),
binary.LittleEndian.Uint32(key[28:32]),
},
nonce: [3]uint32{
binary.LittleEndian.Uint32(counter[4:8]),
binary.LittleEndian.Uint32(counter[8:12]),
binary.LittleEndian.Uint32(counter[12:16]),
},
counter: binary.LittleEndian.Uint32(counter[0:4]),
}
s.XORKeyStream(out, in)
} | XORKeyStream crypts bytes from in to out using the given key and counters.
In and out must overlap entirely or not at all. Counter contains the raw
ChaCha20 counter bytes (i.e. block counter followed by nonce). | XORKeyStream | go | flynn/flynn | vendor/golang.org/x/crypto/internal/chacha20/chacha_generic.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/internal/chacha20/chacha_generic.go | BSD-3-Clause |
func HChaCha20(key *[8]uint32, nonce *[4]uint32) [8]uint32 {
x0, x1, x2, x3 := j0, j1, j2, j3
x4, x5, x6, x7 := key[0], key[1], key[2], key[3]
x8, x9, x10, x11 := key[4], key[5], key[6], key[7]
x12, x13, x14, x15 := nonce[0], nonce[1], nonce[2], nonce[3]
for i := 0; i < 10; i++ {
x0, x4, x8, x12 = quarterRound(x0, x4, x8, x12)
x1, x5, x9, x13 = quarterRound(x1, x5, x9, x13)
x2, x6, x10, x14 = quarterRound(x2, x6, x10, x14)
x3, x7, x11, x15 = quarterRound(x3, x7, x11, x15)
x0, x5, x10, x15 = quarterRound(x0, x5, x10, x15)
x1, x6, x11, x12 = quarterRound(x1, x6, x11, x12)
x2, x7, x8, x13 = quarterRound(x2, x7, x8, x13)
x3, x4, x9, x14 = quarterRound(x3, x4, x9, x14)
}
var out [8]uint32
out[0], out[1], out[2], out[3] = x0, x1, x2, x3
out[4], out[5], out[6], out[7] = x12, x13, x14, x15
return out
} | HChaCha20 uses the ChaCha20 core to generate a derived key from a key and a
nonce. It should only be used as part of the XChaCha20 construction. | HChaCha20 | go | flynn/flynn | vendor/golang.org/x/crypto/internal/chacha20/chacha_generic.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/internal/chacha20/chacha_generic.go | BSD-3-Clause |
func xorKeyStreamVX(dst, src []byte, key *[8]uint32, nonce *[3]uint32, counter *uint32, buf *[256]byte, len *int)
func (c *Cipher) xorKeyStreamAsm(dst, src []byte) {
xorKeyStreamVX(dst, src, &c.key, &c.nonce, &c.counter, &c.buf, &c.len)
} | xorKeyStreamVX is an assembly implementation of XORKeyStream. It must only
be called when the vector facility is available.
Implementation in asm_s390x.s.
go:noescape | xorKeyStreamVX | go | flynn/flynn | vendor/golang.org/x/crypto/internal/chacha20/chacha_s390x.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/internal/chacha20/chacha_s390x.go | BSD-3-Clause |
func xor(dst, src []byte, u uint32) {
_, _ = src[3], dst[3] // eliminate bounds checks
if unaligned {
// The compiler should optimize this code into
// 32-bit unaligned little endian loads and stores.
// TODO: delete once the compiler does a reliably
// good job with the generic code below.
// See issue #25111 for more details.
v := uint32(src[0])
v |= uint32(src[1]) << 8
v |= uint32(src[2]) << 16
v |= uint32(src[3]) << 24
v ^= u
dst[0] = byte(v)
dst[1] = byte(v >> 8)
dst[2] = byte(v >> 16)
dst[3] = byte(v >> 24)
} else {
dst[0] = src[0] ^ byte(u)
dst[1] = src[1] ^ byte(u>>8)
dst[2] = src[2] ^ byte(u>>16)
dst[3] = src[3] ^ byte(u>>24)
}
} | xor reads a little endian uint32 from src, XORs it with u and
places the result in little endian byte order in dst. | xor | go | flynn/flynn | vendor/golang.org/x/crypto/internal/chacha20/xor.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/internal/chacha20/xor.go | BSD-3-Clause |
func (priv PrivateKey) Public() crypto.PublicKey {
publicKey := make([]byte, PublicKeySize)
copy(publicKey, priv[32:])
return PublicKey(publicKey)
} | Public returns the PublicKey corresponding to priv. | Public | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/ed25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/ed25519.go | BSD-3-Clause |
func (priv PrivateKey) Seed() []byte {
seed := make([]byte, SeedSize)
copy(seed, priv[:32])
return seed
} | Seed returns the private key seed corresponding to priv. It is provided for
interoperability with RFC 8032. RFC 8032's private keys correspond to seeds
in this package. | Seed | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/ed25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/ed25519.go | BSD-3-Clause |
func (priv PrivateKey) Sign(rand io.Reader, message []byte, opts crypto.SignerOpts) (signature []byte, err error) {
if opts.HashFunc() != crypto.Hash(0) {
return nil, errors.New("ed25519: cannot sign hashed message")
}
return Sign(priv, message), nil
} | Sign signs the given message with priv.
Ed25519 performs two passes over messages to be signed and therefore cannot
handle pre-hashed messages. Thus opts.HashFunc() must return zero to
indicate the message hasn't been hashed. This can be achieved by passing
crypto.Hash(0) as the value for opts. | Sign | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/ed25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/ed25519.go | BSD-3-Clause |
func GenerateKey(rand io.Reader) (PublicKey, PrivateKey, error) {
if rand == nil {
rand = cryptorand.Reader
}
seed := make([]byte, SeedSize)
if _, err := io.ReadFull(rand, seed); err != nil {
return nil, nil, err
}
privateKey := NewKeyFromSeed(seed)
publicKey := make([]byte, PublicKeySize)
copy(publicKey, privateKey[32:])
return publicKey, privateKey, nil
} | GenerateKey generates a public/private key pair using entropy from rand.
If rand is nil, crypto/rand.Reader will be used. | GenerateKey | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/ed25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/ed25519.go | BSD-3-Clause |
func NewKeyFromSeed(seed []byte) PrivateKey {
if l := len(seed); l != SeedSize {
panic("ed25519: bad seed length: " + strconv.Itoa(l))
}
digest := sha512.Sum512(seed)
digest[0] &= 248
digest[31] &= 127
digest[31] |= 64
var A edwards25519.ExtendedGroupElement
var hBytes [32]byte
copy(hBytes[:], digest[:])
edwards25519.GeScalarMultBase(&A, &hBytes)
var publicKeyBytes [32]byte
A.ToBytes(&publicKeyBytes)
privateKey := make([]byte, PrivateKeySize)
copy(privateKey, seed)
copy(privateKey[32:], publicKeyBytes[:])
return privateKey
} | NewKeyFromSeed calculates a private key from a seed. It will panic if
len(seed) is not SeedSize. This function is provided for interoperability
with RFC 8032. RFC 8032's private keys correspond to seeds in this
package. | NewKeyFromSeed | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/ed25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/ed25519.go | BSD-3-Clause |
func Sign(privateKey PrivateKey, message []byte) []byte {
if l := len(privateKey); l != PrivateKeySize {
panic("ed25519: bad private key length: " + strconv.Itoa(l))
}
h := sha512.New()
h.Write(privateKey[:32])
var digest1, messageDigest, hramDigest [64]byte
var expandedSecretKey [32]byte
h.Sum(digest1[:0])
copy(expandedSecretKey[:], digest1[:])
expandedSecretKey[0] &= 248
expandedSecretKey[31] &= 63
expandedSecretKey[31] |= 64
h.Reset()
h.Write(digest1[32:])
h.Write(message)
h.Sum(messageDigest[:0])
var messageDigestReduced [32]byte
edwards25519.ScReduce(&messageDigestReduced, &messageDigest)
var R edwards25519.ExtendedGroupElement
edwards25519.GeScalarMultBase(&R, &messageDigestReduced)
var encodedR [32]byte
R.ToBytes(&encodedR)
h.Reset()
h.Write(encodedR[:])
h.Write(privateKey[32:])
h.Write(message)
h.Sum(hramDigest[:0])
var hramDigestReduced [32]byte
edwards25519.ScReduce(&hramDigestReduced, &hramDigest)
var s [32]byte
edwards25519.ScMulAdd(&s, &hramDigestReduced, &expandedSecretKey, &messageDigestReduced)
signature := make([]byte, SignatureSize)
copy(signature[:], encodedR[:])
copy(signature[32:], s[:])
return signature
} | Sign signs the message with privateKey and returns a signature. It will
panic if len(privateKey) is not PrivateKeySize. | Sign | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/ed25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/ed25519.go | BSD-3-Clause |
func Verify(publicKey PublicKey, message, sig []byte) bool {
if l := len(publicKey); l != PublicKeySize {
panic("ed25519: bad public key length: " + strconv.Itoa(l))
}
if len(sig) != SignatureSize || sig[63]&224 != 0 {
return false
}
var A edwards25519.ExtendedGroupElement
var publicKeyBytes [32]byte
copy(publicKeyBytes[:], publicKey)
if !A.FromBytes(&publicKeyBytes) {
return false
}
edwards25519.FeNeg(&A.X, &A.X)
edwards25519.FeNeg(&A.T, &A.T)
h := sha512.New()
h.Write(sig[:32])
h.Write(publicKey[:])
h.Write(message)
var digest [64]byte
h.Sum(digest[:0])
var hReduced [32]byte
edwards25519.ScReduce(&hReduced, &digest)
var R edwards25519.ProjectiveGroupElement
var s [32]byte
copy(s[:], sig[32:])
// https://tools.ietf.org/html/rfc8032#section-5.1.7 requires that s be in
// the range [0, order) in order to prevent signature malleability.
if !edwards25519.ScMinimal(&s) {
return false
}
edwards25519.GeDoubleScalarMultVartime(&R, &hReduced, &A, &s)
var checkR [32]byte
R.ToBytes(&checkR)
return bytes.Equal(sig[:32], checkR[:])
} | Verify reports whether sig is a valid signature of message by publicKey. It
will panic if len(publicKey) is not PublicKeySize. | Verify | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/ed25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/ed25519.go | BSD-3-Clause |
func GenerateKey(rand io.Reader) (PublicKey, PrivateKey, error) {
return ed25519.GenerateKey(rand)
} | GenerateKey generates a public/private key pair using entropy from rand.
If rand is nil, crypto/rand.Reader will be used. | GenerateKey | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/ed25519_go113.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/ed25519_go113.go | BSD-3-Clause |
func NewKeyFromSeed(seed []byte) PrivateKey {
return ed25519.NewKeyFromSeed(seed)
} | NewKeyFromSeed calculates a private key from a seed. It will panic if
len(seed) is not SeedSize. This function is provided for interoperability
with RFC 8032. RFC 8032's private keys correspond to seeds in this
package. | NewKeyFromSeed | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/ed25519_go113.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/ed25519_go113.go | BSD-3-Clause |
func Sign(privateKey PrivateKey, message []byte) []byte {
return ed25519.Sign(privateKey, message)
} | Sign signs the message with privateKey and returns a signature. It will
panic if len(privateKey) is not PrivateKeySize. | Sign | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/ed25519_go113.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/ed25519_go113.go | BSD-3-Clause |
func Verify(publicKey PublicKey, message, sig []byte) bool {
return ed25519.Verify(publicKey, message, sig)
} | Verify reports whether sig is a valid signature of message by publicKey. It
will panic if len(publicKey) is not PublicKeySize. | Verify | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/ed25519_go113.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/ed25519_go113.go | BSD-3-Clause |
func FeCMove(f, g *FieldElement, b int32) {
b = -b
f[0] ^= b & (f[0] ^ g[0])
f[1] ^= b & (f[1] ^ g[1])
f[2] ^= b & (f[2] ^ g[2])
f[3] ^= b & (f[3] ^ g[3])
f[4] ^= b & (f[4] ^ g[4])
f[5] ^= b & (f[5] ^ g[5])
f[6] ^= b & (f[6] ^ g[6])
f[7] ^= b & (f[7] ^ g[7])
f[8] ^= b & (f[8] ^ g[8])
f[9] ^= b & (f[9] ^ g[9])
} | Replace (f,g) with (g,g) if b == 1;
replace (f,g) with (f,g) if b == 0.
Preconditions: b in {0,1}. | FeCMove | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | BSD-3-Clause |
func FeToBytes(s *[32]byte, h *FieldElement) {
var carry [10]int32
q := (19*h[9] + (1 << 24)) >> 25
q = (h[0] + q) >> 26
q = (h[1] + q) >> 25
q = (h[2] + q) >> 26
q = (h[3] + q) >> 25
q = (h[4] + q) >> 26
q = (h[5] + q) >> 25
q = (h[6] + q) >> 26
q = (h[7] + q) >> 25
q = (h[8] + q) >> 26
q = (h[9] + q) >> 25
// Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20.
h[0] += 19 * q
// Goal: Output h-2^255 q, which is between 0 and 2^255-20.
carry[0] = h[0] >> 26
h[1] += carry[0]
h[0] -= carry[0] << 26
carry[1] = h[1] >> 25
h[2] += carry[1]
h[1] -= carry[1] << 25
carry[2] = h[2] >> 26
h[3] += carry[2]
h[2] -= carry[2] << 26
carry[3] = h[3] >> 25
h[4] += carry[3]
h[3] -= carry[3] << 25
carry[4] = h[4] >> 26
h[5] += carry[4]
h[4] -= carry[4] << 26
carry[5] = h[5] >> 25
h[6] += carry[5]
h[5] -= carry[5] << 25
carry[6] = h[6] >> 26
h[7] += carry[6]
h[6] -= carry[6] << 26
carry[7] = h[7] >> 25
h[8] += carry[7]
h[7] -= carry[7] << 25
carry[8] = h[8] >> 26
h[9] += carry[8]
h[8] -= carry[8] << 26
carry[9] = h[9] >> 25
h[9] -= carry[9] << 25
// h10 = carry9
// Goal: Output h[0]+...+2^255 h10-2^255 q, which is between 0 and 2^255-20.
// Have h[0]+...+2^230 h[9] between 0 and 2^255-1;
// evidently 2^255 h10-2^255 q = 0.
// Goal: Output h[0]+...+2^230 h[9].
s[0] = byte(h[0] >> 0)
s[1] = byte(h[0] >> 8)
s[2] = byte(h[0] >> 16)
s[3] = byte((h[0] >> 24) | (h[1] << 2))
s[4] = byte(h[1] >> 6)
s[5] = byte(h[1] >> 14)
s[6] = byte((h[1] >> 22) | (h[2] << 3))
s[7] = byte(h[2] >> 5)
s[8] = byte(h[2] >> 13)
s[9] = byte((h[2] >> 21) | (h[3] << 5))
s[10] = byte(h[3] >> 3)
s[11] = byte(h[3] >> 11)
s[12] = byte((h[3] >> 19) | (h[4] << 6))
s[13] = byte(h[4] >> 2)
s[14] = byte(h[4] >> 10)
s[15] = byte(h[4] >> 18)
s[16] = byte(h[5] >> 0)
s[17] = byte(h[5] >> 8)
s[18] = byte(h[5] >> 16)
s[19] = byte((h[5] >> 24) | (h[6] << 1))
s[20] = byte(h[6] >> 7)
s[21] = byte(h[6] >> 15)
s[22] = byte((h[6] >> 23) | (h[7] << 3))
s[23] = byte(h[7] >> 5)
s[24] = byte(h[7] >> 13)
s[25] = byte((h[7] >> 21) | (h[8] << 4))
s[26] = byte(h[8] >> 4)
s[27] = byte(h[8] >> 12)
s[28] = byte((h[8] >> 20) | (h[9] << 6))
s[29] = byte(h[9] >> 2)
s[30] = byte(h[9] >> 10)
s[31] = byte(h[9] >> 18)
} | FeToBytes marshals h to s.
Preconditions:
|h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
Write p=2^255-19; q=floor(h/p).
Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))).
Proof:
Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4.
Also have |h-2^230 h9|<2^230 so |19 2^(-255)(h-2^230 h9)|<1/4.
Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9).
Then 0<y<1.
Write r=h-pq.
Have 0<=r<=p-1=2^255-20.
Thus 0<=r+19(2^-255)r<r+19(2^-255)2^255<=2^255-1.
Write x=r+19(2^-255)r+y.
Then 0<x<2^255 so floor(2^(-255)x) = 0 so floor(q+2^(-255)x) = q.
Have q+2^(-255)x = 2^(-255)(h + 19 2^(-25) h9 + 2^(-1))
so floor(2^(-255)(h + 19 2^(-25) h9 + 2^(-1))) = q. | FeToBytes | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | BSD-3-Clause |
func FeNeg(h, f *FieldElement) {
h[0] = -f[0]
h[1] = -f[1]
h[2] = -f[2]
h[3] = -f[3]
h[4] = -f[4]
h[5] = -f[5]
h[6] = -f[6]
h[7] = -f[7]
h[8] = -f[8]
h[9] = -f[9]
} | FeNeg sets h = -f
Preconditions:
|f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
Postconditions:
|h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. | FeNeg | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | BSD-3-Clause |
func FeMul(h, f, g *FieldElement) {
f0 := int64(f[0])
f1 := int64(f[1])
f2 := int64(f[2])
f3 := int64(f[3])
f4 := int64(f[4])
f5 := int64(f[5])
f6 := int64(f[6])
f7 := int64(f[7])
f8 := int64(f[8])
f9 := int64(f[9])
f1_2 := int64(2 * f[1])
f3_2 := int64(2 * f[3])
f5_2 := int64(2 * f[5])
f7_2 := int64(2 * f[7])
f9_2 := int64(2 * f[9])
g0 := int64(g[0])
g1 := int64(g[1])
g2 := int64(g[2])
g3 := int64(g[3])
g4 := int64(g[4])
g5 := int64(g[5])
g6 := int64(g[6])
g7 := int64(g[7])
g8 := int64(g[8])
g9 := int64(g[9])
g1_19 := int64(19 * g[1]) /* 1.4*2^29 */
g2_19 := int64(19 * g[2]) /* 1.4*2^30; still ok */
g3_19 := int64(19 * g[3])
g4_19 := int64(19 * g[4])
g5_19 := int64(19 * g[5])
g6_19 := int64(19 * g[6])
g7_19 := int64(19 * g[7])
g8_19 := int64(19 * g[8])
g9_19 := int64(19 * g[9])
h0 := f0*g0 + f1_2*g9_19 + f2*g8_19 + f3_2*g7_19 + f4*g6_19 + f5_2*g5_19 + f6*g4_19 + f7_2*g3_19 + f8*g2_19 + f9_2*g1_19
h1 := f0*g1 + f1*g0 + f2*g9_19 + f3*g8_19 + f4*g7_19 + f5*g6_19 + f6*g5_19 + f7*g4_19 + f8*g3_19 + f9*g2_19
h2 := f0*g2 + f1_2*g1 + f2*g0 + f3_2*g9_19 + f4*g8_19 + f5_2*g7_19 + f6*g6_19 + f7_2*g5_19 + f8*g4_19 + f9_2*g3_19
h3 := f0*g3 + f1*g2 + f2*g1 + f3*g0 + f4*g9_19 + f5*g8_19 + f6*g7_19 + f7*g6_19 + f8*g5_19 + f9*g4_19
h4 := f0*g4 + f1_2*g3 + f2*g2 + f3_2*g1 + f4*g0 + f5_2*g9_19 + f6*g8_19 + f7_2*g7_19 + f8*g6_19 + f9_2*g5_19
h5 := f0*g5 + f1*g4 + f2*g3 + f3*g2 + f4*g1 + f5*g0 + f6*g9_19 + f7*g8_19 + f8*g7_19 + f9*g6_19
h6 := f0*g6 + f1_2*g5 + f2*g4 + f3_2*g3 + f4*g2 + f5_2*g1 + f6*g0 + f7_2*g9_19 + f8*g8_19 + f9_2*g7_19
h7 := f0*g7 + f1*g6 + f2*g5 + f3*g4 + f4*g3 + f5*g2 + f6*g1 + f7*g0 + f8*g9_19 + f9*g8_19
h8 := f0*g8 + f1_2*g7 + f2*g6 + f3_2*g5 + f4*g4 + f5_2*g3 + f6*g2 + f7_2*g1 + f8*g0 + f9_2*g9_19
h9 := f0*g9 + f1*g8 + f2*g7 + f3*g6 + f4*g5 + f5*g4 + f6*g3 + f7*g2 + f8*g1 + f9*g0
FeCombine(h, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9)
} | FeMul calculates h = f * g
Can overlap h with f or g.
Preconditions:
|f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
|g| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
Postconditions:
|h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
Notes on implementation strategy:
Using schoolbook multiplication.
Karatsuba would save a little in some cost models.
Most multiplications by 2 and 19 are 32-bit precomputations;
cheaper than 64-bit postcomputations.
There is one remaining multiplication by 19 in the carry chain;
one *19 precomputation can be merged into this,
but the resulting data flow is considerably less clean.
There are 12 carries below.
10 of them are 2-way parallelizable and vectorizable.
Can get away with 11 carries, but then data flow is much deeper.
With tighter constraints on inputs, can squeeze carries into int32. | FeMul | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | BSD-3-Clause |
func FeSquare(h, f *FieldElement) {
h0, h1, h2, h3, h4, h5, h6, h7, h8, h9 := feSquare(f)
FeCombine(h, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9)
} | FeSquare calculates h = f*f. Can overlap h with f.
Preconditions:
|f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
Postconditions:
|h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. | FeSquare | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | BSD-3-Clause |
func FeSquare2(h, f *FieldElement) {
h0, h1, h2, h3, h4, h5, h6, h7, h8, h9 := feSquare(f)
h0 += h0
h1 += h1
h2 += h2
h3 += h3
h4 += h4
h5 += h5
h6 += h6
h7 += h7
h8 += h8
h9 += h9
FeCombine(h, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9)
} | FeSquare2 sets h = 2 * f * f
Can overlap h with f.
Preconditions:
|f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.
Postconditions:
|h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc.
See fe_mul.c for discussion of implementation strategy. | FeSquare2 | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | BSD-3-Clause |
func GeDoubleScalarMultVartime(r *ProjectiveGroupElement, a *[32]byte, A *ExtendedGroupElement, b *[32]byte) {
var aSlide, bSlide [256]int8
var Ai [8]CachedGroupElement // A,3A,5A,7A,9A,11A,13A,15A
var t CompletedGroupElement
var u, A2 ExtendedGroupElement
var i int
slide(&aSlide, a)
slide(&bSlide, b)
A.ToCached(&Ai[0])
A.Double(&t)
t.ToExtended(&A2)
for i := 0; i < 7; i++ {
geAdd(&t, &A2, &Ai[i])
t.ToExtended(&u)
u.ToCached(&Ai[i+1])
}
r.Zero()
for i = 255; i >= 0; i-- {
if aSlide[i] != 0 || bSlide[i] != 0 {
break
}
}
for ; i >= 0; i-- {
r.Double(&t)
if aSlide[i] > 0 {
t.ToExtended(&u)
geAdd(&t, &u, &Ai[aSlide[i]/2])
} else if aSlide[i] < 0 {
t.ToExtended(&u)
geSub(&t, &u, &Ai[(-aSlide[i])/2])
}
if bSlide[i] > 0 {
t.ToExtended(&u)
geMixedAdd(&t, &u, &bi[bSlide[i]/2])
} else if bSlide[i] < 0 {
t.ToExtended(&u)
geMixedSub(&t, &u, &bi[(-bSlide[i])/2])
}
t.ToProjective(r)
}
} | GeDoubleScalarMultVartime sets r = a*A + b*B
where a = a[0]+256*a[1]+...+256^31 a[31].
and b = b[0]+256*b[1]+...+256^31 b[31].
B is the Ed25519 base point (x,4/5) with x positive. | GeDoubleScalarMultVartime | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | BSD-3-Clause |
func equal(b, c int32) int32 {
x := uint32(b ^ c)
x--
return int32(x >> 31)
} | equal returns 1 if b == c and 0 otherwise, assuming that b and c are
non-negative. | equal | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | BSD-3-Clause |
func negative(b int32) int32 {
return (b >> 31) & 1
} | negative returns 1 if b < 0 and 0 otherwise. | negative | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | BSD-3-Clause |
func GeScalarMultBase(h *ExtendedGroupElement, a *[32]byte) {
var e [64]int8
for i, v := range a {
e[2*i] = int8(v & 15)
e[2*i+1] = int8((v >> 4) & 15)
}
// each e[i] is between 0 and 15 and e[63] is between 0 and 7.
carry := int8(0)
for i := 0; i < 63; i++ {
e[i] += carry
carry = (e[i] + 8) >> 4
e[i] -= carry << 4
}
e[63] += carry
// each e[i] is between -8 and 8.
h.Zero()
var t PreComputedGroupElement
var r CompletedGroupElement
for i := int32(1); i < 64; i += 2 {
selectPoint(&t, i/2, int32(e[i]))
geMixedAdd(&r, h, &t)
r.ToExtended(h)
}
var s ProjectiveGroupElement
h.Double(&r)
r.ToProjective(&s)
s.Double(&r)
r.ToProjective(&s)
s.Double(&r)
r.ToProjective(&s)
s.Double(&r)
r.ToExtended(h)
for i := int32(0); i < 64; i += 2 {
selectPoint(&t, i/2, int32(e[i]))
geMixedAdd(&r, h, &t)
r.ToExtended(h)
}
} | GeScalarMultBase computes h = a*B, where
a = a[0]+256*a[1]+...+256^31 a[31]
B is the Ed25519 base point (x,4/5) with x positive.
Preconditions:
a[31] <= 127 | GeScalarMultBase | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | BSD-3-Clause |
func ScMulAdd(s, a, b, c *[32]byte) {
a0 := 2097151 & load3(a[:])
a1 := 2097151 & (load4(a[2:]) >> 5)
a2 := 2097151 & (load3(a[5:]) >> 2)
a3 := 2097151 & (load4(a[7:]) >> 7)
a4 := 2097151 & (load4(a[10:]) >> 4)
a5 := 2097151 & (load3(a[13:]) >> 1)
a6 := 2097151 & (load4(a[15:]) >> 6)
a7 := 2097151 & (load3(a[18:]) >> 3)
a8 := 2097151 & load3(a[21:])
a9 := 2097151 & (load4(a[23:]) >> 5)
a10 := 2097151 & (load3(a[26:]) >> 2)
a11 := (load4(a[28:]) >> 7)
b0 := 2097151 & load3(b[:])
b1 := 2097151 & (load4(b[2:]) >> 5)
b2 := 2097151 & (load3(b[5:]) >> 2)
b3 := 2097151 & (load4(b[7:]) >> 7)
b4 := 2097151 & (load4(b[10:]) >> 4)
b5 := 2097151 & (load3(b[13:]) >> 1)
b6 := 2097151 & (load4(b[15:]) >> 6)
b7 := 2097151 & (load3(b[18:]) >> 3)
b8 := 2097151 & load3(b[21:])
b9 := 2097151 & (load4(b[23:]) >> 5)
b10 := 2097151 & (load3(b[26:]) >> 2)
b11 := (load4(b[28:]) >> 7)
c0 := 2097151 & load3(c[:])
c1 := 2097151 & (load4(c[2:]) >> 5)
c2 := 2097151 & (load3(c[5:]) >> 2)
c3 := 2097151 & (load4(c[7:]) >> 7)
c4 := 2097151 & (load4(c[10:]) >> 4)
c5 := 2097151 & (load3(c[13:]) >> 1)
c6 := 2097151 & (load4(c[15:]) >> 6)
c7 := 2097151 & (load3(c[18:]) >> 3)
c8 := 2097151 & load3(c[21:])
c9 := 2097151 & (load4(c[23:]) >> 5)
c10 := 2097151 & (load3(c[26:]) >> 2)
c11 := (load4(c[28:]) >> 7)
var carry [23]int64
s0 := c0 + a0*b0
s1 := c1 + a0*b1 + a1*b0
s2 := c2 + a0*b2 + a1*b1 + a2*b0
s3 := c3 + a0*b3 + a1*b2 + a2*b1 + a3*b0
s4 := c4 + a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0
s5 := c5 + a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0
s6 := c6 + a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0
s7 := c7 + a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0
s8 := c8 + a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0
s9 := c9 + a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0
s10 := c10 + a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0
s11 := c11 + a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0
s12 := a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1
s13 := a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2
s14 := a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3
s15 := a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4
s16 := a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5
s17 := a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6
s18 := a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7
s19 := a8*b11 + a9*b10 + a10*b9 + a11*b8
s20 := a9*b11 + a10*b10 + a11*b9
s21 := a10*b11 + a11*b10
s22 := a11 * b11
s23 := int64(0)
carry[0] = (s0 + (1 << 20)) >> 21
s1 += carry[0]
s0 -= carry[0] << 21
carry[2] = (s2 + (1 << 20)) >> 21
s3 += carry[2]
s2 -= carry[2] << 21
carry[4] = (s4 + (1 << 20)) >> 21
s5 += carry[4]
s4 -= carry[4] << 21
carry[6] = (s6 + (1 << 20)) >> 21
s7 += carry[6]
s6 -= carry[6] << 21
carry[8] = (s8 + (1 << 20)) >> 21
s9 += carry[8]
s8 -= carry[8] << 21
carry[10] = (s10 + (1 << 20)) >> 21
s11 += carry[10]
s10 -= carry[10] << 21
carry[12] = (s12 + (1 << 20)) >> 21
s13 += carry[12]
s12 -= carry[12] << 21
carry[14] = (s14 + (1 << 20)) >> 21
s15 += carry[14]
s14 -= carry[14] << 21
carry[16] = (s16 + (1 << 20)) >> 21
s17 += carry[16]
s16 -= carry[16] << 21
carry[18] = (s18 + (1 << 20)) >> 21
s19 += carry[18]
s18 -= carry[18] << 21
carry[20] = (s20 + (1 << 20)) >> 21
s21 += carry[20]
s20 -= carry[20] << 21
carry[22] = (s22 + (1 << 20)) >> 21
s23 += carry[22]
s22 -= carry[22] << 21
carry[1] = (s1 + (1 << 20)) >> 21
s2 += carry[1]
s1 -= carry[1] << 21
carry[3] = (s3 + (1 << 20)) >> 21
s4 += carry[3]
s3 -= carry[3] << 21
carry[5] = (s5 + (1 << 20)) >> 21
s6 += carry[5]
s5 -= carry[5] << 21
carry[7] = (s7 + (1 << 20)) >> 21
s8 += carry[7]
s7 -= carry[7] << 21
carry[9] = (s9 + (1 << 20)) >> 21
s10 += carry[9]
s9 -= carry[9] << 21
carry[11] = (s11 + (1 << 20)) >> 21
s12 += carry[11]
s11 -= carry[11] << 21
carry[13] = (s13 + (1 << 20)) >> 21
s14 += carry[13]
s13 -= carry[13] << 21
carry[15] = (s15 + (1 << 20)) >> 21
s16 += carry[15]
s15 -= carry[15] << 21
carry[17] = (s17 + (1 << 20)) >> 21
s18 += carry[17]
s17 -= carry[17] << 21
carry[19] = (s19 + (1 << 20)) >> 21
s20 += carry[19]
s19 -= carry[19] << 21
carry[21] = (s21 + (1 << 20)) >> 21
s22 += carry[21]
s21 -= carry[21] << 21
s11 += s23 * 666643
s12 += s23 * 470296
s13 += s23 * 654183
s14 -= s23 * 997805
s15 += s23 * 136657
s16 -= s23 * 683901
s23 = 0
s10 += s22 * 666643
s11 += s22 * 470296
s12 += s22 * 654183
s13 -= s22 * 997805
s14 += s22 * 136657
s15 -= s22 * 683901
s22 = 0
s9 += s21 * 666643
s10 += s21 * 470296
s11 += s21 * 654183
s12 -= s21 * 997805
s13 += s21 * 136657
s14 -= s21 * 683901
s21 = 0
s8 += s20 * 666643
s9 += s20 * 470296
s10 += s20 * 654183
s11 -= s20 * 997805
s12 += s20 * 136657
s13 -= s20 * 683901
s20 = 0
s7 += s19 * 666643
s8 += s19 * 470296
s9 += s19 * 654183
s10 -= s19 * 997805
s11 += s19 * 136657
s12 -= s19 * 683901
s19 = 0
s6 += s18 * 666643
s7 += s18 * 470296
s8 += s18 * 654183
s9 -= s18 * 997805
s10 += s18 * 136657
s11 -= s18 * 683901
s18 = 0
carry[6] = (s6 + (1 << 20)) >> 21
s7 += carry[6]
s6 -= carry[6] << 21
carry[8] = (s8 + (1 << 20)) >> 21
s9 += carry[8]
s8 -= carry[8] << 21
carry[10] = (s10 + (1 << 20)) >> 21
s11 += carry[10]
s10 -= carry[10] << 21
carry[12] = (s12 + (1 << 20)) >> 21
s13 += carry[12]
s12 -= carry[12] << 21
carry[14] = (s14 + (1 << 20)) >> 21
s15 += carry[14]
s14 -= carry[14] << 21
carry[16] = (s16 + (1 << 20)) >> 21
s17 += carry[16]
s16 -= carry[16] << 21
carry[7] = (s7 + (1 << 20)) >> 21
s8 += carry[7]
s7 -= carry[7] << 21
carry[9] = (s9 + (1 << 20)) >> 21
s10 += carry[9]
s9 -= carry[9] << 21
carry[11] = (s11 + (1 << 20)) >> 21
s12 += carry[11]
s11 -= carry[11] << 21
carry[13] = (s13 + (1 << 20)) >> 21
s14 += carry[13]
s13 -= carry[13] << 21
carry[15] = (s15 + (1 << 20)) >> 21
s16 += carry[15]
s15 -= carry[15] << 21
s5 += s17 * 666643
s6 += s17 * 470296
s7 += s17 * 654183
s8 -= s17 * 997805
s9 += s17 * 136657
s10 -= s17 * 683901
s17 = 0
s4 += s16 * 666643
s5 += s16 * 470296
s6 += s16 * 654183
s7 -= s16 * 997805
s8 += s16 * 136657
s9 -= s16 * 683901
s16 = 0
s3 += s15 * 666643
s4 += s15 * 470296
s5 += s15 * 654183
s6 -= s15 * 997805
s7 += s15 * 136657
s8 -= s15 * 683901
s15 = 0
s2 += s14 * 666643
s3 += s14 * 470296
s4 += s14 * 654183
s5 -= s14 * 997805
s6 += s14 * 136657
s7 -= s14 * 683901
s14 = 0
s1 += s13 * 666643
s2 += s13 * 470296
s3 += s13 * 654183
s4 -= s13 * 997805
s5 += s13 * 136657
s6 -= s13 * 683901
s13 = 0
s0 += s12 * 666643
s1 += s12 * 470296
s2 += s12 * 654183
s3 -= s12 * 997805
s4 += s12 * 136657
s5 -= s12 * 683901
s12 = 0
carry[0] = (s0 + (1 << 20)) >> 21
s1 += carry[0]
s0 -= carry[0] << 21
carry[2] = (s2 + (1 << 20)) >> 21
s3 += carry[2]
s2 -= carry[2] << 21
carry[4] = (s4 + (1 << 20)) >> 21
s5 += carry[4]
s4 -= carry[4] << 21
carry[6] = (s6 + (1 << 20)) >> 21
s7 += carry[6]
s6 -= carry[6] << 21
carry[8] = (s8 + (1 << 20)) >> 21
s9 += carry[8]
s8 -= carry[8] << 21
carry[10] = (s10 + (1 << 20)) >> 21
s11 += carry[10]
s10 -= carry[10] << 21
carry[1] = (s1 + (1 << 20)) >> 21
s2 += carry[1]
s1 -= carry[1] << 21
carry[3] = (s3 + (1 << 20)) >> 21
s4 += carry[3]
s3 -= carry[3] << 21
carry[5] = (s5 + (1 << 20)) >> 21
s6 += carry[5]
s5 -= carry[5] << 21
carry[7] = (s7 + (1 << 20)) >> 21
s8 += carry[7]
s7 -= carry[7] << 21
carry[9] = (s9 + (1 << 20)) >> 21
s10 += carry[9]
s9 -= carry[9] << 21
carry[11] = (s11 + (1 << 20)) >> 21
s12 += carry[11]
s11 -= carry[11] << 21
s0 += s12 * 666643
s1 += s12 * 470296
s2 += s12 * 654183
s3 -= s12 * 997805
s4 += s12 * 136657
s5 -= s12 * 683901
s12 = 0
carry[0] = s0 >> 21
s1 += carry[0]
s0 -= carry[0] << 21
carry[1] = s1 >> 21
s2 += carry[1]
s1 -= carry[1] << 21
carry[2] = s2 >> 21
s3 += carry[2]
s2 -= carry[2] << 21
carry[3] = s3 >> 21
s4 += carry[3]
s3 -= carry[3] << 21
carry[4] = s4 >> 21
s5 += carry[4]
s4 -= carry[4] << 21
carry[5] = s5 >> 21
s6 += carry[5]
s5 -= carry[5] << 21
carry[6] = s6 >> 21
s7 += carry[6]
s6 -= carry[6] << 21
carry[7] = s7 >> 21
s8 += carry[7]
s7 -= carry[7] << 21
carry[8] = s8 >> 21
s9 += carry[8]
s8 -= carry[8] << 21
carry[9] = s9 >> 21
s10 += carry[9]
s9 -= carry[9] << 21
carry[10] = s10 >> 21
s11 += carry[10]
s10 -= carry[10] << 21
carry[11] = s11 >> 21
s12 += carry[11]
s11 -= carry[11] << 21
s0 += s12 * 666643
s1 += s12 * 470296
s2 += s12 * 654183
s3 -= s12 * 997805
s4 += s12 * 136657
s5 -= s12 * 683901
s12 = 0
carry[0] = s0 >> 21
s1 += carry[0]
s0 -= carry[0] << 21
carry[1] = s1 >> 21
s2 += carry[1]
s1 -= carry[1] << 21
carry[2] = s2 >> 21
s3 += carry[2]
s2 -= carry[2] << 21
carry[3] = s3 >> 21
s4 += carry[3]
s3 -= carry[3] << 21
carry[4] = s4 >> 21
s5 += carry[4]
s4 -= carry[4] << 21
carry[5] = s5 >> 21
s6 += carry[5]
s5 -= carry[5] << 21
carry[6] = s6 >> 21
s7 += carry[6]
s6 -= carry[6] << 21
carry[7] = s7 >> 21
s8 += carry[7]
s7 -= carry[7] << 21
carry[8] = s8 >> 21
s9 += carry[8]
s8 -= carry[8] << 21
carry[9] = s9 >> 21
s10 += carry[9]
s9 -= carry[9] << 21
carry[10] = s10 >> 21
s11 += carry[10]
s10 -= carry[10] << 21
s[0] = byte(s0 >> 0)
s[1] = byte(s0 >> 8)
s[2] = byte((s0 >> 16) | (s1 << 5))
s[3] = byte(s1 >> 3)
s[4] = byte(s1 >> 11)
s[5] = byte((s1 >> 19) | (s2 << 2))
s[6] = byte(s2 >> 6)
s[7] = byte((s2 >> 14) | (s3 << 7))
s[8] = byte(s3 >> 1)
s[9] = byte(s3 >> 9)
s[10] = byte((s3 >> 17) | (s4 << 4))
s[11] = byte(s4 >> 4)
s[12] = byte(s4 >> 12)
s[13] = byte((s4 >> 20) | (s5 << 1))
s[14] = byte(s5 >> 7)
s[15] = byte((s5 >> 15) | (s6 << 6))
s[16] = byte(s6 >> 2)
s[17] = byte(s6 >> 10)
s[18] = byte((s6 >> 18) | (s7 << 3))
s[19] = byte(s7 >> 5)
s[20] = byte(s7 >> 13)
s[21] = byte(s8 >> 0)
s[22] = byte(s8 >> 8)
s[23] = byte((s8 >> 16) | (s9 << 5))
s[24] = byte(s9 >> 3)
s[25] = byte(s9 >> 11)
s[26] = byte((s9 >> 19) | (s10 << 2))
s[27] = byte(s10 >> 6)
s[28] = byte((s10 >> 14) | (s11 << 7))
s[29] = byte(s11 >> 1)
s[30] = byte(s11 >> 9)
s[31] = byte(s11 >> 17)
} | Input:
a[0]+256*a[1]+...+256^31*a[31] = a
b[0]+256*b[1]+...+256^31*b[31] = b
c[0]+256*c[1]+...+256^31*c[31] = c
Output:
s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l
where l = 2^252 + 27742317777372353535851937790883648493. | ScMulAdd | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | BSD-3-Clause |
func ScReduce(out *[32]byte, s *[64]byte) {
s0 := 2097151 & load3(s[:])
s1 := 2097151 & (load4(s[2:]) >> 5)
s2 := 2097151 & (load3(s[5:]) >> 2)
s3 := 2097151 & (load4(s[7:]) >> 7)
s4 := 2097151 & (load4(s[10:]) >> 4)
s5 := 2097151 & (load3(s[13:]) >> 1)
s6 := 2097151 & (load4(s[15:]) >> 6)
s7 := 2097151 & (load3(s[18:]) >> 3)
s8 := 2097151 & load3(s[21:])
s9 := 2097151 & (load4(s[23:]) >> 5)
s10 := 2097151 & (load3(s[26:]) >> 2)
s11 := 2097151 & (load4(s[28:]) >> 7)
s12 := 2097151 & (load4(s[31:]) >> 4)
s13 := 2097151 & (load3(s[34:]) >> 1)
s14 := 2097151 & (load4(s[36:]) >> 6)
s15 := 2097151 & (load3(s[39:]) >> 3)
s16 := 2097151 & load3(s[42:])
s17 := 2097151 & (load4(s[44:]) >> 5)
s18 := 2097151 & (load3(s[47:]) >> 2)
s19 := 2097151 & (load4(s[49:]) >> 7)
s20 := 2097151 & (load4(s[52:]) >> 4)
s21 := 2097151 & (load3(s[55:]) >> 1)
s22 := 2097151 & (load4(s[57:]) >> 6)
s23 := (load4(s[60:]) >> 3)
s11 += s23 * 666643
s12 += s23 * 470296
s13 += s23 * 654183
s14 -= s23 * 997805
s15 += s23 * 136657
s16 -= s23 * 683901
s23 = 0
s10 += s22 * 666643
s11 += s22 * 470296
s12 += s22 * 654183
s13 -= s22 * 997805
s14 += s22 * 136657
s15 -= s22 * 683901
s22 = 0
s9 += s21 * 666643
s10 += s21 * 470296
s11 += s21 * 654183
s12 -= s21 * 997805
s13 += s21 * 136657
s14 -= s21 * 683901
s21 = 0
s8 += s20 * 666643
s9 += s20 * 470296
s10 += s20 * 654183
s11 -= s20 * 997805
s12 += s20 * 136657
s13 -= s20 * 683901
s20 = 0
s7 += s19 * 666643
s8 += s19 * 470296
s9 += s19 * 654183
s10 -= s19 * 997805
s11 += s19 * 136657
s12 -= s19 * 683901
s19 = 0
s6 += s18 * 666643
s7 += s18 * 470296
s8 += s18 * 654183
s9 -= s18 * 997805
s10 += s18 * 136657
s11 -= s18 * 683901
s18 = 0
var carry [17]int64
carry[6] = (s6 + (1 << 20)) >> 21
s7 += carry[6]
s6 -= carry[6] << 21
carry[8] = (s8 + (1 << 20)) >> 21
s9 += carry[8]
s8 -= carry[8] << 21
carry[10] = (s10 + (1 << 20)) >> 21
s11 += carry[10]
s10 -= carry[10] << 21
carry[12] = (s12 + (1 << 20)) >> 21
s13 += carry[12]
s12 -= carry[12] << 21
carry[14] = (s14 + (1 << 20)) >> 21
s15 += carry[14]
s14 -= carry[14] << 21
carry[16] = (s16 + (1 << 20)) >> 21
s17 += carry[16]
s16 -= carry[16] << 21
carry[7] = (s7 + (1 << 20)) >> 21
s8 += carry[7]
s7 -= carry[7] << 21
carry[9] = (s9 + (1 << 20)) >> 21
s10 += carry[9]
s9 -= carry[9] << 21
carry[11] = (s11 + (1 << 20)) >> 21
s12 += carry[11]
s11 -= carry[11] << 21
carry[13] = (s13 + (1 << 20)) >> 21
s14 += carry[13]
s13 -= carry[13] << 21
carry[15] = (s15 + (1 << 20)) >> 21
s16 += carry[15]
s15 -= carry[15] << 21
s5 += s17 * 666643
s6 += s17 * 470296
s7 += s17 * 654183
s8 -= s17 * 997805
s9 += s17 * 136657
s10 -= s17 * 683901
s17 = 0
s4 += s16 * 666643
s5 += s16 * 470296
s6 += s16 * 654183
s7 -= s16 * 997805
s8 += s16 * 136657
s9 -= s16 * 683901
s16 = 0
s3 += s15 * 666643
s4 += s15 * 470296
s5 += s15 * 654183
s6 -= s15 * 997805
s7 += s15 * 136657
s8 -= s15 * 683901
s15 = 0
s2 += s14 * 666643
s3 += s14 * 470296
s4 += s14 * 654183
s5 -= s14 * 997805
s6 += s14 * 136657
s7 -= s14 * 683901
s14 = 0
s1 += s13 * 666643
s2 += s13 * 470296
s3 += s13 * 654183
s4 -= s13 * 997805
s5 += s13 * 136657
s6 -= s13 * 683901
s13 = 0
s0 += s12 * 666643
s1 += s12 * 470296
s2 += s12 * 654183
s3 -= s12 * 997805
s4 += s12 * 136657
s5 -= s12 * 683901
s12 = 0
carry[0] = (s0 + (1 << 20)) >> 21
s1 += carry[0]
s0 -= carry[0] << 21
carry[2] = (s2 + (1 << 20)) >> 21
s3 += carry[2]
s2 -= carry[2] << 21
carry[4] = (s4 + (1 << 20)) >> 21
s5 += carry[4]
s4 -= carry[4] << 21
carry[6] = (s6 + (1 << 20)) >> 21
s7 += carry[6]
s6 -= carry[6] << 21
carry[8] = (s8 + (1 << 20)) >> 21
s9 += carry[8]
s8 -= carry[8] << 21
carry[10] = (s10 + (1 << 20)) >> 21
s11 += carry[10]
s10 -= carry[10] << 21
carry[1] = (s1 + (1 << 20)) >> 21
s2 += carry[1]
s1 -= carry[1] << 21
carry[3] = (s3 + (1 << 20)) >> 21
s4 += carry[3]
s3 -= carry[3] << 21
carry[5] = (s5 + (1 << 20)) >> 21
s6 += carry[5]
s5 -= carry[5] << 21
carry[7] = (s7 + (1 << 20)) >> 21
s8 += carry[7]
s7 -= carry[7] << 21
carry[9] = (s9 + (1 << 20)) >> 21
s10 += carry[9]
s9 -= carry[9] << 21
carry[11] = (s11 + (1 << 20)) >> 21
s12 += carry[11]
s11 -= carry[11] << 21
s0 += s12 * 666643
s1 += s12 * 470296
s2 += s12 * 654183
s3 -= s12 * 997805
s4 += s12 * 136657
s5 -= s12 * 683901
s12 = 0
carry[0] = s0 >> 21
s1 += carry[0]
s0 -= carry[0] << 21
carry[1] = s1 >> 21
s2 += carry[1]
s1 -= carry[1] << 21
carry[2] = s2 >> 21
s3 += carry[2]
s2 -= carry[2] << 21
carry[3] = s3 >> 21
s4 += carry[3]
s3 -= carry[3] << 21
carry[4] = s4 >> 21
s5 += carry[4]
s4 -= carry[4] << 21
carry[5] = s5 >> 21
s6 += carry[5]
s5 -= carry[5] << 21
carry[6] = s6 >> 21
s7 += carry[6]
s6 -= carry[6] << 21
carry[7] = s7 >> 21
s8 += carry[7]
s7 -= carry[7] << 21
carry[8] = s8 >> 21
s9 += carry[8]
s8 -= carry[8] << 21
carry[9] = s9 >> 21
s10 += carry[9]
s9 -= carry[9] << 21
carry[10] = s10 >> 21
s11 += carry[10]
s10 -= carry[10] << 21
carry[11] = s11 >> 21
s12 += carry[11]
s11 -= carry[11] << 21
s0 += s12 * 666643
s1 += s12 * 470296
s2 += s12 * 654183
s3 -= s12 * 997805
s4 += s12 * 136657
s5 -= s12 * 683901
s12 = 0
carry[0] = s0 >> 21
s1 += carry[0]
s0 -= carry[0] << 21
carry[1] = s1 >> 21
s2 += carry[1]
s1 -= carry[1] << 21
carry[2] = s2 >> 21
s3 += carry[2]
s2 -= carry[2] << 21
carry[3] = s3 >> 21
s4 += carry[3]
s3 -= carry[3] << 21
carry[4] = s4 >> 21
s5 += carry[4]
s4 -= carry[4] << 21
carry[5] = s5 >> 21
s6 += carry[5]
s5 -= carry[5] << 21
carry[6] = s6 >> 21
s7 += carry[6]
s6 -= carry[6] << 21
carry[7] = s7 >> 21
s8 += carry[7]
s7 -= carry[7] << 21
carry[8] = s8 >> 21
s9 += carry[8]
s8 -= carry[8] << 21
carry[9] = s9 >> 21
s10 += carry[9]
s9 -= carry[9] << 21
carry[10] = s10 >> 21
s11 += carry[10]
s10 -= carry[10] << 21
out[0] = byte(s0 >> 0)
out[1] = byte(s0 >> 8)
out[2] = byte((s0 >> 16) | (s1 << 5))
out[3] = byte(s1 >> 3)
out[4] = byte(s1 >> 11)
out[5] = byte((s1 >> 19) | (s2 << 2))
out[6] = byte(s2 >> 6)
out[7] = byte((s2 >> 14) | (s3 << 7))
out[8] = byte(s3 >> 1)
out[9] = byte(s3 >> 9)
out[10] = byte((s3 >> 17) | (s4 << 4))
out[11] = byte(s4 >> 4)
out[12] = byte(s4 >> 12)
out[13] = byte((s4 >> 20) | (s5 << 1))
out[14] = byte(s5 >> 7)
out[15] = byte((s5 >> 15) | (s6 << 6))
out[16] = byte(s6 >> 2)
out[17] = byte(s6 >> 10)
out[18] = byte((s6 >> 18) | (s7 << 3))
out[19] = byte(s7 >> 5)
out[20] = byte(s7 >> 13)
out[21] = byte(s8 >> 0)
out[22] = byte(s8 >> 8)
out[23] = byte((s8 >> 16) | (s9 << 5))
out[24] = byte(s9 >> 3)
out[25] = byte(s9 >> 11)
out[26] = byte((s9 >> 19) | (s10 << 2))
out[27] = byte(s10 >> 6)
out[28] = byte((s10 >> 14) | (s11 << 7))
out[29] = byte(s11 >> 1)
out[30] = byte(s11 >> 9)
out[31] = byte(s11 >> 17)
} | Input:
s[0]+256*s[1]+...+256^63*s[63] = s
Output:
s[0]+256*s[1]+...+256^31*s[31] = s mod l
where l = 2^252 + 27742317777372353535851937790883648493. | ScReduce | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | BSD-3-Clause |
func ScMinimal(scalar *[32]byte) bool {
for i := 3; ; i-- {
v := binary.LittleEndian.Uint64(scalar[i*8:])
if v > order[i] {
return false
} else if v < order[i] {
break
} else if i == 0 {
return false
}
}
return true
} | ScMinimal returns true if the given scalar is less than the order of the
curve. | ScMinimal | go | flynn/flynn | vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | BSD-3-Clause |
func Sum(out *[TagSize]byte, msg []byte, key *[32]byte) {
h := newMAC(key)
h.Write(msg)
h.Sum(out)
} | Sum generates an authenticator for msg using a one-time key and puts the
16-byte result into out. Authenticating two different messages with the same
key allows an attacker to forge messages at will. | Sum | go | flynn/flynn | vendor/golang.org/x/crypto/poly1305/sum_noasm.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/poly1305/sum_noasm.go | BSD-3-Clause |
func poly1305_auth_armv6(out *[16]byte, m *byte, mlen uint32, key *[32]byte)
// Sum generates an authenticator for m using a one-time key and puts the
// 16-byte result into out. Authenticating two different messages with the same
// key allows an attacker to forge messages at will.
func Sum(out *[16]byte, m []byte, key *[32]byte) {
var mPtr *byte
if len(m) > 0 {
mPtr = &m[0]
}
poly1305_auth_armv6(out, mPtr, uint32(len(m)), key)
} | This function is implemented in sum_arm.s
go:noescape | poly1305_auth_armv6 | go | flynn/flynn | vendor/golang.org/x/crypto/poly1305/sum_arm.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/poly1305/sum_arm.go | BSD-3-Clause |
func Verify(mac *[16]byte, m []byte, key *[32]byte) bool {
var tmp [16]byte
Sum(&tmp, m, key)
return subtle.ConstantTimeCompare(tmp[:], mac[:]) == 1
} | Verify returns true if mac is a valid authenticator for m with the given
key. | Verify | go | flynn/flynn | vendor/golang.org/x/crypto/poly1305/poly1305.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/poly1305/poly1305.go | BSD-3-Clause |
func New(key *[32]byte) *MAC {
return &MAC{
mac: newMAC(key),
finalized: false,
}
} | New returns a new MAC computing an authentication
tag of all data written to it with the given key.
This allows writing the message progressively instead
of passing it as a single slice. Common users should use
the Sum function instead.
The key must be unique for each message, as authenticating
two different messages with the same key allows an attacker
to forge messages at will. | New | go | flynn/flynn | vendor/golang.org/x/crypto/poly1305/poly1305.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/poly1305/poly1305.go | BSD-3-Clause |
func (h *MAC) Size() int { return TagSize } | Size returns the number of bytes Sum will return. | Size | go | flynn/flynn | vendor/golang.org/x/crypto/poly1305/poly1305.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/poly1305/poly1305.go | BSD-3-Clause |
func (h *MAC) Write(p []byte) (n int, err error) {
if h.finalized {
panic("poly1305: write to MAC after Sum")
}
return h.mac.Write(p)
} | Write adds more data to the running message authentication code.
It never returns an error.
It must not be called after the first call of Sum. | Write | go | flynn/flynn | vendor/golang.org/x/crypto/poly1305/poly1305.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/poly1305/poly1305.go | BSD-3-Clause |
func (h *MAC) Sum(b []byte) []byte {
var mac [TagSize]byte
h.mac.Sum(&mac)
h.finalized = true
return append(b, mac[:]...)
} | Sum computes the authenticator of all data written to the
message authentication code. | Sum | go | flynn/flynn | vendor/golang.org/x/crypto/poly1305/poly1305.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/poly1305/poly1305.go | BSD-3-Clause |
func sumGeneric(out *[TagSize]byte, msg []byte, key *[32]byte) {
h := newMACGeneric(key)
h.Write(msg)
h.Sum(out)
} | sumGeneric generates an authenticator for msg using a one-time key and
puts the 16-byte result into out. This is the generic implementation of
Sum and should be called if no assembly implementation is available. | sumGeneric | go | flynn/flynn | vendor/golang.org/x/crypto/poly1305/sum_generic.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/poly1305/sum_generic.go | BSD-3-Clause |
func poly1305vx(out *[16]byte, m *byte, mlen uint64, key *[32]byte)
// poly1305vmsl is an assembly implementation of Poly1305 that uses vector
// instructions, including VMSL. It must only be called if the vector facility (vx) is
// available and if VMSL is supported.
//go:noescape
func poly1305vmsl(out *[16]byte, m *byte, mlen uint64, key *[32]byte)
// Sum generates an authenticator for m using a one-time key and puts the
// 16-byte result into out. Authenticating two different messages with the same
// key allows an attacker to forge messages at will.
func Sum(out *[16]byte, m []byte, key *[32]byte) {
if cpu.S390X.HasVX {
var mPtr *byte
if len(m) > 0 {
mPtr = &m[0]
}
if cpu.S390X.HasVXE && len(m) > 256 {
poly1305vmsl(out, mPtr, uint64(len(m)), key)
} else {
poly1305vx(out, mPtr, uint64(len(m)), key)
}
} else {
sumGeneric(out, m, key)
}
} | poly1305vx is an assembly implementation of Poly1305 that uses vector
instructions. It must only be called if the vector facility (vx) is
available.
go:noescape | poly1305vx | go | flynn/flynn | vendor/golang.org/x/crypto/poly1305/sum_s390x.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/poly1305/sum_s390x.go | BSD-3-Clause |
func Key(password, salt []byte, iter, keyLen int, h func() hash.Hash) []byte {
prf := hmac.New(h, password)
hashLen := prf.Size()
numBlocks := (keyLen + hashLen - 1) / hashLen
var buf [4]byte
dk := make([]byte, 0, numBlocks*hashLen)
U := make([]byte, hashLen)
for block := 1; block <= numBlocks; block++ {
// N.B.: || means concatenation, ^ means XOR
// for each block T_i = U_1 ^ U_2 ^ ... ^ U_iter
// U_1 = PRF(password, salt || uint(i))
prf.Reset()
prf.Write(salt)
buf[0] = byte(block >> 24)
buf[1] = byte(block >> 16)
buf[2] = byte(block >> 8)
buf[3] = byte(block)
prf.Write(buf[:4])
dk = prf.Sum(dk)
T := dk[len(dk)-hashLen:]
copy(U, T)
// U_n = PRF(password, U_(n-1))
for n := 2; n <= iter; n++ {
prf.Reset()
prf.Write(U)
U = U[:0]
U = prf.Sum(U)
for x := range U {
T[x] ^= U[x]
}
}
}
return dk[:keyLen]
} | Key derives a key from the password, salt and iteration count, returning a
[]byte of length keylen that can be used as cryptographic key. The key is
derived based on the method described as PBKDF2 with the HMAC variant using
the supplied hash function.
For example, to use a HMAC-SHA-1 based PBKDF2 key derivation function, you
can get a derived key for e.g. AES-256 (which needs a 32-byte key) by
doing:
dk := pbkdf2.Key([]byte("some password"), salt, 4096, 32, sha1.New)
Remember to get a good random salt. At least 8 bytes is recommended by the
RFC.
Using a higher iteration count will increase the cost of an exhaustive
search but will also make derivation proportionally slower. | Key | go | flynn/flynn | vendor/golang.org/x/crypto/pbkdf2/pbkdf2.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/pbkdf2/pbkdf2.go | BSD-3-Clause |
func unexpectedMessageError(expected, got uint8) error {
return fmt.Errorf("ssh: unexpected message type %d (expected %d)", got, expected)
} | unexpectedMessageError results when the SSH message that we received didn't
match what we wanted. | unexpectedMessageError | go | flynn/flynn | vendor/golang.org/x/crypto/ssh/common.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ssh/common.go | BSD-3-Clause |
func parseError(tag uint8) error {
return fmt.Errorf("ssh: parse error in message type %d", tag)
} | parseError results from a malformed SSH message. | parseError | go | flynn/flynn | vendor/golang.org/x/crypto/ssh/common.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ssh/common.go | BSD-3-Clause |
func (a *directionAlgorithms) rekeyBytes() int64 {
// According to RFC4344 block ciphers should rekey after
// 2^(BLOCKSIZE/4) blocks. For all AES flavors BLOCKSIZE is
// 128.
switch a.Cipher {
case "aes128-ctr", "aes192-ctr", "aes256-ctr", gcmCipherID, aes128cbcID:
return 16 * (1 << 32)
}
// For others, stick with RFC4253 recommendation to rekey after 1 Gb of data.
return 1 << 30
} | rekeyBytes returns a rekeying intervals in bytes. | rekeyBytes | go | flynn/flynn | vendor/golang.org/x/crypto/ssh/common.go | https://github.com/flynn/flynn/blob/master/vendor/golang.org/x/crypto/ssh/common.go | BSD-3-Clause |
Subsets and Splits
No saved queries yet
Save your SQL queries to embed, download, and access them later. Queries will appear here once saved.