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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-16 19:23:18 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-16 19:23:18 +0000
commit43a123c1ae6613b3efeed291fa552ecd909d3acf (patch)
treefd92518b7024bc74031f78a1cf9e454b65e73665 /src/hash
parentInitial commit. (diff)
downloadgolang-1.20-43a123c1ae6613b3efeed291fa552ecd909d3acf.tar.xz
golang-1.20-43a123c1ae6613b3efeed291fa552ecd909d3acf.zip
Adding upstream version 1.20.14.upstream/1.20.14upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'src/hash')
-rw-r--r--src/hash/adler32/adler32.go135
-rw-r--r--src/hash/adler32/adler32_test.go140
-rw-r--r--src/hash/crc32/crc32.go265
-rw-r--r--src/hash/crc32/crc32_amd64.go225
-rw-r--r--src/hash/crc32/crc32_amd64.s279
-rw-r--r--src/hash/crc32/crc32_arm64.go50
-rw-r--r--src/hash/crc32/crc32_arm64.s97
-rw-r--r--src/hash/crc32/crc32_generic.go89
-rw-r--r--src/hash/crc32/crc32_otherarch.go15
-rw-r--r--src/hash/crc32/crc32_ppc64le.go88
-rw-r--r--src/hash/crc32/crc32_ppc64le.s705
-rw-r--r--src/hash/crc32/crc32_s390x.go91
-rw-r--r--src/hash/crc32/crc32_s390x.s230
-rw-r--r--src/hash/crc32/crc32_table_ppc64le.s3286
-rw-r--r--src/hash/crc32/crc32_test.go342
-rw-r--r--src/hash/crc32/example_test.go28
-rw-r--r--src/hash/crc32/gen_const_ppc64le.go150
-rw-r--r--src/hash/crc64/crc64.go226
-rw-r--r--src/hash/crc64/crc64_test.go193
-rw-r--r--src/hash/example_test.go51
-rw-r--r--src/hash/fnv/fnv.go371
-rw-r--r--src/hash/fnv/fnv_test.go255
-rw-r--r--src/hash/hash.go58
-rw-r--r--src/hash/maphash/example_test.go37
-rw-r--r--src/hash/maphash/maphash.go308
-rw-r--r--src/hash/maphash/maphash_test.go255
-rw-r--r--src/hash/maphash/smhasher_test.go474
-rw-r--r--src/hash/marshal_test.go107
-rw-r--r--src/hash/test_cases.txt31
-rw-r--r--src/hash/test_gen.awk14
30 files changed, 8595 insertions, 0 deletions
diff --git a/src/hash/adler32/adler32.go b/src/hash/adler32/adler32.go
new file mode 100644
index 0000000..38d644d
--- /dev/null
+++ b/src/hash/adler32/adler32.go
@@ -0,0 +1,135 @@
+// Copyright 2009 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Package adler32 implements the Adler-32 checksum.
+//
+// It is defined in RFC 1950:
+//
+// Adler-32 is composed of two sums accumulated per byte: s1 is
+// the sum of all bytes, s2 is the sum of all s1 values. Both sums
+// are done modulo 65521. s1 is initialized to 1, s2 to zero. The
+// Adler-32 checksum is stored as s2*65536 + s1 in most-
+// significant-byte first (network) order.
+package adler32
+
+import (
+ "errors"
+ "hash"
+)
+
+const (
+ // mod is the largest prime that is less than 65536.
+ mod = 65521
+ // nmax is the largest n such that
+ // 255 * n * (n+1) / 2 + (n+1) * (mod-1) <= 2^32-1.
+ // It is mentioned in RFC 1950 (search for "5552").
+ nmax = 5552
+)
+
+// The size of an Adler-32 checksum in bytes.
+const Size = 4
+
+// digest represents the partial evaluation of a checksum.
+// The low 16 bits are s1, the high 16 bits are s2.
+type digest uint32
+
+func (d *digest) Reset() { *d = 1 }
+
+// New returns a new hash.Hash32 computing the Adler-32 checksum. Its
+// Sum method will lay the value out in big-endian byte order. The
+// returned Hash32 also implements encoding.BinaryMarshaler and
+// encoding.BinaryUnmarshaler to marshal and unmarshal the internal
+// state of the hash.
+func New() hash.Hash32 {
+ d := new(digest)
+ d.Reset()
+ return d
+}
+
+func (d *digest) Size() int { return Size }
+
+func (d *digest) BlockSize() int { return 4 }
+
+const (
+ magic = "adl\x01"
+ marshaledSize = len(magic) + 4
+)
+
+func (d *digest) MarshalBinary() ([]byte, error) {
+ b := make([]byte, 0, marshaledSize)
+ b = append(b, magic...)
+ b = appendUint32(b, uint32(*d))
+ return b, nil
+}
+
+func (d *digest) UnmarshalBinary(b []byte) error {
+ if len(b) < len(magic) || string(b[:len(magic)]) != magic {
+ return errors.New("hash/adler32: invalid hash state identifier")
+ }
+ if len(b) != marshaledSize {
+ return errors.New("hash/adler32: invalid hash state size")
+ }
+ *d = digest(readUint32(b[len(magic):]))
+ return nil
+}
+
+func appendUint32(b []byte, x uint32) []byte {
+ a := [4]byte{
+ byte(x >> 24),
+ byte(x >> 16),
+ byte(x >> 8),
+ byte(x),
+ }
+ return append(b, a[:]...)
+}
+
+func readUint32(b []byte) uint32 {
+ _ = b[3]
+ return uint32(b[3]) | uint32(b[2])<<8 | uint32(b[1])<<16 | uint32(b[0])<<24
+}
+
+// Add p to the running checksum d.
+func update(d digest, p []byte) digest {
+ s1, s2 := uint32(d&0xffff), uint32(d>>16)
+ for len(p) > 0 {
+ var q []byte
+ if len(p) > nmax {
+ p, q = p[:nmax], p[nmax:]
+ }
+ for len(p) >= 4 {
+ s1 += uint32(p[0])
+ s2 += s1
+ s1 += uint32(p[1])
+ s2 += s1
+ s1 += uint32(p[2])
+ s2 += s1
+ s1 += uint32(p[3])
+ s2 += s1
+ p = p[4:]
+ }
+ for _, x := range p {
+ s1 += uint32(x)
+ s2 += s1
+ }
+ s1 %= mod
+ s2 %= mod
+ p = q
+ }
+ return digest(s2<<16 | s1)
+}
+
+func (d *digest) Write(p []byte) (nn int, err error) {
+ *d = update(*d, p)
+ return len(p), nil
+}
+
+func (d *digest) Sum32() uint32 { return uint32(*d) }
+
+func (d *digest) Sum(in []byte) []byte {
+ s := uint32(*d)
+ return append(in, byte(s>>24), byte(s>>16), byte(s>>8), byte(s))
+}
+
+// Checksum returns the Adler-32 checksum of data.
+func Checksum(data []byte) uint32 { return uint32(update(1, data)) }
diff --git a/src/hash/adler32/adler32_test.go b/src/hash/adler32/adler32_test.go
new file mode 100644
index 0000000..6bac802
--- /dev/null
+++ b/src/hash/adler32/adler32_test.go
@@ -0,0 +1,140 @@
+// Copyright 2009 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package adler32
+
+import (
+ "encoding"
+ "io"
+ "strings"
+ "testing"
+)
+
+var golden = []struct {
+ out uint32
+ in string
+ halfState string // marshaled hash state after first half of in written, used by TestGoldenMarshal
+}{
+ {0x00000001, "", "adl\x01\x00\x00\x00\x01"},
+ {0x00620062, "a", "adl\x01\x00\x00\x00\x01"},
+ {0x012600c4, "ab", "adl\x01\x00b\x00b"},
+ {0x024d0127, "abc", "adl\x01\x00b\x00b"},
+ {0x03d8018b, "abcd", "adl\x01\x01&\x00\xc4"},
+ {0x05c801f0, "abcde", "adl\x01\x01&\x00\xc4"},
+ {0x081e0256, "abcdef", "adl\x01\x02M\x01'"},
+ {0x0adb02bd, "abcdefg", "adl\x01\x02M\x01'"},
+ {0x0e000325, "abcdefgh", "adl\x01\x03\xd8\x01\x8b"},
+ {0x118e038e, "abcdefghi", "adl\x01\x03\xd8\x01\x8b"},
+ {0x158603f8, "abcdefghij", "adl\x01\x05\xc8\x01\xf0"},
+ {0x3f090f02, "Discard medicine more than two years old.", "adl\x01NU\a\x87"},
+ {0x46d81477, "He who has a shady past knows that nice guys finish last.", "adl\x01\x89\x8e\t\xe9"},
+ {0x40ee0ee1, "I wouldn't marry him with a ten foot pole.", "adl\x01R\t\ag"},
+ {0x16661315, "Free! Free!/A trip/to Mars/for 900/empty jars/Burma Shave", "adl\x01\u007f\xbb\t\x10"},
+ {0x5b2e1480, "The days of the digital watch are numbered. -Tom Stoppard", "adl\x01\x99:\n~"},
+ {0x8c3c09ea, "Nepal premier won't resign.", "adl\x01\"\x05\x05\x05"},
+ {0x45ac18fd, "For every action there is an equal and opposite government program.", "adl\x01\xcc\xfa\f\x00"},
+ {0x53c61462, "His money is twice tainted: 'taint yours and 'taint mine.", "adl\x01\x93\xa9\n\b"},
+ {0x7e511e63, "There is no reason for any individual to have a computer in their home. -Ken Olsen, 1977", "adl\x01e\xf5\x10\x14"},
+ {0xe4801a6a, "It's a tiny change to the code and not completely disgusting. - Bob Manchek", "adl\x01\xee\x00\f\xb2"},
+ {0x61b507df, "size: a.out: bad magic", "adl\x01\x1a\xfc\x04\x1d"},
+ {0xb8631171, "The major problem is with sendmail. -Mark Horton", "adl\x01mi\b\xdc"},
+ {0x8b5e1904, "Give me a rock, paper and scissors and I will move the world. CCFestoon", "adl\x01\xe3\n\f\x9f"},
+ {0x7cc6102b, "If the enemy is within range, then so are you.", "adl\x01_\xe0\b\x1e"},
+ {0x700318e7, "It's well we cannot hear the screams/That we create in others' dreams.", "adl\x01ۘ\f\x87"},
+ {0x1e601747, "You remind me of a TV show, but that's all right: I watch it anyway.", "adl\x01\xcc}\v\x83"},
+ {0xb55b0b09, "C is as portable as Stonehedge!!", "adl\x01,^\x05\xad"},
+ {0x39111dd0, "Even if I could be Shakespeare, I think I should still choose to be Faraday. - A. Huxley", "adl\x01M\xd1\x0e\xc8"},
+ {0x91dd304f, "The fugacity of a constituent in a mixture of gases at a given temperature is proportional to its mole fraction. Lewis-Randall Rule", "adl\x01#\xd8\x17\xd7"},
+ {0x2e5d1316, "How can you write a big system without C++? -Paul Glick", "adl\x01\x8fU\n\x0f"},
+ {0xd0201df6, "'Invariant assertions' is the most elegant programming technique! -Tom Szymanski", "adl\x01/\x98\x0e\xc4"},
+ {0x211297c8, strings.Repeat("\xff", 5548) + "8", "adl\x01\x9a\xa6\xcb\xc1"},
+ {0xbaa198c8, strings.Repeat("\xff", 5549) + "9", "adl\x01gu\xcc\xc0"},
+ {0x553499be, strings.Repeat("\xff", 5550) + "0", "adl\x01gu\xcc\xc0"},
+ {0xf0c19abe, strings.Repeat("\xff", 5551) + "1", "adl\x015CͿ"},
+ {0x8d5c9bbe, strings.Repeat("\xff", 5552) + "2", "adl\x015CͿ"},
+ {0x2af69cbe, strings.Repeat("\xff", 5553) + "3", "adl\x01\x04\x10ξ"},
+ {0xc9809dbe, strings.Repeat("\xff", 5554) + "4", "adl\x01\x04\x10ξ"},
+ {0x69189ebe, strings.Repeat("\xff", 5555) + "5", "adl\x01\xd3\xcdϽ"},
+ {0x86af0001, strings.Repeat("\x00", 1e5), "adl\x01\xc3P\x00\x01"},
+ {0x79660b4d, strings.Repeat("a", 1e5), "adl\x01\x81k\x05\xa7"},
+ {0x110588ee, strings.Repeat("ABCDEFGHIJKLMNOPQRSTUVWXYZ", 1e4), "adl\x01e\xd2\xc4p"},
+}
+
+// checksum is a slow but simple implementation of the Adler-32 checksum.
+// It is a straight port of the sample code in RFC 1950 section 9.
+func checksum(p []byte) uint32 {
+ s1, s2 := uint32(1), uint32(0)
+ for _, x := range p {
+ s1 = (s1 + uint32(x)) % mod
+ s2 = (s2 + s1) % mod
+ }
+ return s2<<16 | s1
+}
+
+func TestGolden(t *testing.T) {
+ for _, g := range golden {
+ in := g.in
+ if len(in) > 220 {
+ in = in[:100] + "..." + in[len(in)-100:]
+ }
+ p := []byte(g.in)
+ if got := checksum(p); got != g.out {
+ t.Errorf("simple implementation: checksum(%q) = 0x%x want 0x%x", in, got, g.out)
+ continue
+ }
+ if got := Checksum(p); got != g.out {
+ t.Errorf("optimized implementation: Checksum(%q) = 0x%x want 0x%x", in, got, g.out)
+ continue
+ }
+ }
+}
+
+func TestGoldenMarshal(t *testing.T) {
+ for _, g := range golden {
+ h := New()
+ h2 := New()
+
+ io.WriteString(h, g.in[:len(g.in)/2])
+
+ state, err := h.(encoding.BinaryMarshaler).MarshalBinary()
+ if err != nil {
+ t.Errorf("could not marshal: %v", err)
+ continue
+ }
+
+ if string(state) != g.halfState {
+ t.Errorf("checksum(%q) state = %q, want %q", g.in, state, g.halfState)
+ continue
+ }
+
+ if err := h2.(encoding.BinaryUnmarshaler).UnmarshalBinary(state); err != nil {
+ t.Errorf("could not unmarshal: %v", err)
+ continue
+ }
+
+ io.WriteString(h, g.in[len(g.in)/2:])
+ io.WriteString(h2, g.in[len(g.in)/2:])
+
+ if h.Sum32() != h2.Sum32() {
+ t.Errorf("checksum(%q) = 0x%x != marshaled (0x%x)", g.in, h.Sum32(), h2.Sum32())
+ }
+ }
+}
+
+func BenchmarkAdler32KB(b *testing.B) {
+ b.SetBytes(1024)
+ data := make([]byte, 1024)
+ for i := range data {
+ data[i] = byte(i)
+ }
+ h := New()
+ in := make([]byte, 0, h.Size())
+
+ b.ResetTimer()
+ for i := 0; i < b.N; i++ {
+ h.Reset()
+ h.Write(data)
+ h.Sum(in)
+ }
+}
diff --git a/src/hash/crc32/crc32.go b/src/hash/crc32/crc32.go
new file mode 100644
index 0000000..e828089
--- /dev/null
+++ b/src/hash/crc32/crc32.go
@@ -0,0 +1,265 @@
+// Copyright 2009 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Package crc32 implements the 32-bit cyclic redundancy check, or CRC-32,
+// checksum. See https://en.wikipedia.org/wiki/Cyclic_redundancy_check for
+// information.
+//
+// Polynomials are represented in LSB-first form also known as reversed representation.
+//
+// See https://en.wikipedia.org/wiki/Mathematics_of_cyclic_redundancy_checks#Reversed_representations_and_reciprocal_polynomials
+// for information.
+package crc32
+
+import (
+ "errors"
+ "hash"
+ "sync"
+ "sync/atomic"
+)
+
+// The size of a CRC-32 checksum in bytes.
+const Size = 4
+
+// Predefined polynomials.
+const (
+ // IEEE is by far and away the most common CRC-32 polynomial.
+ // Used by ethernet (IEEE 802.3), v.42, fddi, gzip, zip, png, ...
+ IEEE = 0xedb88320
+
+ // Castagnoli's polynomial, used in iSCSI.
+ // Has better error detection characteristics than IEEE.
+ // https://dx.doi.org/10.1109/26.231911
+ Castagnoli = 0x82f63b78
+
+ // Koopman's polynomial.
+ // Also has better error detection characteristics than IEEE.
+ // https://dx.doi.org/10.1109/DSN.2002.1028931
+ Koopman = 0xeb31d82e
+)
+
+// Table is a 256-word table representing the polynomial for efficient processing.
+type Table [256]uint32
+
+// This file makes use of functions implemented in architecture-specific files.
+// The interface that they implement is as follows:
+//
+// // archAvailableIEEE reports whether an architecture-specific CRC32-IEEE
+// // algorithm is available.
+// archAvailableIEEE() bool
+//
+// // archInitIEEE initializes the architecture-specific CRC3-IEEE algorithm.
+// // It can only be called if archAvailableIEEE() returns true.
+// archInitIEEE()
+//
+// // archUpdateIEEE updates the given CRC32-IEEE. It can only be called if
+// // archInitIEEE() was previously called.
+// archUpdateIEEE(crc uint32, p []byte) uint32
+//
+// // archAvailableCastagnoli reports whether an architecture-specific
+// // CRC32-C algorithm is available.
+// archAvailableCastagnoli() bool
+//
+// // archInitCastagnoli initializes the architecture-specific CRC32-C
+// // algorithm. It can only be called if archAvailableCastagnoli() returns
+// // true.
+// archInitCastagnoli()
+//
+// // archUpdateCastagnoli updates the given CRC32-C. It can only be called
+// // if archInitCastagnoli() was previously called.
+// archUpdateCastagnoli(crc uint32, p []byte) uint32
+
+// castagnoliTable points to a lazily initialized Table for the Castagnoli
+// polynomial. MakeTable will always return this value when asked to make a
+// Castagnoli table so we can compare against it to find when the caller is
+// using this polynomial.
+var castagnoliTable *Table
+var castagnoliTable8 *slicing8Table
+var updateCastagnoli func(crc uint32, p []byte) uint32
+var castagnoliOnce sync.Once
+var haveCastagnoli atomic.Bool
+
+func castagnoliInit() {
+ castagnoliTable = simpleMakeTable(Castagnoli)
+
+ if archAvailableCastagnoli() {
+ archInitCastagnoli()
+ updateCastagnoli = archUpdateCastagnoli
+ } else {
+ // Initialize the slicing-by-8 table.
+ castagnoliTable8 = slicingMakeTable(Castagnoli)
+ updateCastagnoli = func(crc uint32, p []byte) uint32 {
+ return slicingUpdate(crc, castagnoliTable8, p)
+ }
+ }
+
+ haveCastagnoli.Store(true)
+}
+
+// IEEETable is the table for the IEEE polynomial.
+var IEEETable = simpleMakeTable(IEEE)
+
+// ieeeTable8 is the slicing8Table for IEEE
+var ieeeTable8 *slicing8Table
+var updateIEEE func(crc uint32, p []byte) uint32
+var ieeeOnce sync.Once
+
+func ieeeInit() {
+ if archAvailableIEEE() {
+ archInitIEEE()
+ updateIEEE = archUpdateIEEE
+ } else {
+ // Initialize the slicing-by-8 table.
+ ieeeTable8 = slicingMakeTable(IEEE)
+ updateIEEE = func(crc uint32, p []byte) uint32 {
+ return slicingUpdate(crc, ieeeTable8, p)
+ }
+ }
+}
+
+// MakeTable returns a Table constructed from the specified polynomial.
+// The contents of this Table must not be modified.
+func MakeTable(poly uint32) *Table {
+ switch poly {
+ case IEEE:
+ ieeeOnce.Do(ieeeInit)
+ return IEEETable
+ case Castagnoli:
+ castagnoliOnce.Do(castagnoliInit)
+ return castagnoliTable
+ default:
+ return simpleMakeTable(poly)
+ }
+}
+
+// digest represents the partial evaluation of a checksum.
+type digest struct {
+ crc uint32
+ tab *Table
+}
+
+// New creates a new hash.Hash32 computing the CRC-32 checksum using the
+// polynomial represented by the Table. Its Sum method will lay the
+// value out in big-endian byte order. The returned Hash32 also
+// implements encoding.BinaryMarshaler and encoding.BinaryUnmarshaler to
+// marshal and unmarshal the internal state of the hash.
+func New(tab *Table) hash.Hash32 {
+ if tab == IEEETable {
+ ieeeOnce.Do(ieeeInit)
+ }
+ return &digest{0, tab}
+}
+
+// NewIEEE creates a new hash.Hash32 computing the CRC-32 checksum using
+// the IEEE polynomial. Its Sum method will lay the value out in
+// big-endian byte order. The returned Hash32 also implements
+// encoding.BinaryMarshaler and encoding.BinaryUnmarshaler to marshal
+// and unmarshal the internal state of the hash.
+func NewIEEE() hash.Hash32 { return New(IEEETable) }
+
+func (d *digest) Size() int { return Size }
+
+func (d *digest) BlockSize() int { return 1 }
+
+func (d *digest) Reset() { d.crc = 0 }
+
+const (
+ magic = "crc\x01"
+ marshaledSize = len(magic) + 4 + 4
+)
+
+func (d *digest) MarshalBinary() ([]byte, error) {
+ b := make([]byte, 0, marshaledSize)
+ b = append(b, magic...)
+ b = appendUint32(b, tableSum(d.tab))
+ b = appendUint32(b, d.crc)
+ return b, nil
+}
+
+func (d *digest) UnmarshalBinary(b []byte) error {
+ if len(b) < len(magic) || string(b[:len(magic)]) != magic {
+ return errors.New("hash/crc32: invalid hash state identifier")
+ }
+ if len(b) != marshaledSize {
+ return errors.New("hash/crc32: invalid hash state size")
+ }
+ if tableSum(d.tab) != readUint32(b[4:]) {
+ return errors.New("hash/crc32: tables do not match")
+ }
+ d.crc = readUint32(b[8:])
+ return nil
+}
+
+func appendUint32(b []byte, x uint32) []byte {
+ a := [4]byte{
+ byte(x >> 24),
+ byte(x >> 16),
+ byte(x >> 8),
+ byte(x),
+ }
+ return append(b, a[:]...)
+}
+
+func readUint32(b []byte) uint32 {
+ _ = b[3]
+ return uint32(b[3]) | uint32(b[2])<<8 | uint32(b[1])<<16 | uint32(b[0])<<24
+}
+
+func update(crc uint32, tab *Table, p []byte, checkInitIEEE bool) uint32 {
+ switch {
+ case haveCastagnoli.Load() && tab == castagnoliTable:
+ return updateCastagnoli(crc, p)
+ case tab == IEEETable:
+ if checkInitIEEE {
+ ieeeOnce.Do(ieeeInit)
+ }
+ return updateIEEE(crc, p)
+ default:
+ return simpleUpdate(crc, tab, p)
+ }
+}
+
+// Update returns the result of adding the bytes in p to the crc.
+func Update(crc uint32, tab *Table, p []byte) uint32 {
+ // Unfortunately, because IEEETable is exported, IEEE may be used without a
+ // call to MakeTable. We have to make sure it gets initialized in that case.
+ return update(crc, tab, p, true)
+}
+
+func (d *digest) Write(p []byte) (n int, err error) {
+ // We only create digest objects through New() which takes care of
+ // initialization in this case.
+ d.crc = update(d.crc, d.tab, p, false)
+ return len(p), nil
+}
+
+func (d *digest) Sum32() uint32 { return d.crc }
+
+func (d *digest) Sum(in []byte) []byte {
+ s := d.Sum32()
+ return append(in, byte(s>>24), byte(s>>16), byte(s>>8), byte(s))
+}
+
+// Checksum returns the CRC-32 checksum of data
+// using the polynomial represented by the Table.
+func Checksum(data []byte, tab *Table) uint32 { return Update(0, tab, data) }
+
+// ChecksumIEEE returns the CRC-32 checksum of data
+// using the IEEE polynomial.
+func ChecksumIEEE(data []byte) uint32 {
+ ieeeOnce.Do(ieeeInit)
+ return updateIEEE(0, data)
+}
+
+// tableSum returns the IEEE checksum of table t.
+func tableSum(t *Table) uint32 {
+ var a [1024]byte
+ b := a[:0]
+ if t != nil {
+ for _, x := range t {
+ b = appendUint32(b, x)
+ }
+ }
+ return ChecksumIEEE(b)
+}
diff --git a/src/hash/crc32/crc32_amd64.go b/src/hash/crc32/crc32_amd64.go
new file mode 100644
index 0000000..6be129f
--- /dev/null
+++ b/src/hash/crc32/crc32_amd64.go
@@ -0,0 +1,225 @@
+// Copyright 2011 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// AMD64-specific hardware-assisted CRC32 algorithms. See crc32.go for a
+// description of the interface that each architecture-specific file
+// implements.
+
+package crc32
+
+import (
+ "internal/cpu"
+ "unsafe"
+)
+
+// This file contains the code to call the SSE 4.2 version of the Castagnoli
+// and IEEE CRC.
+
+// castagnoliSSE42 is defined in crc32_amd64.s and uses the SSE 4.2 CRC32
+// instruction.
+//
+//go:noescape
+func castagnoliSSE42(crc uint32, p []byte) uint32
+
+// castagnoliSSE42Triple is defined in crc32_amd64.s and uses the SSE 4.2 CRC32
+// instruction.
+//
+//go:noescape
+func castagnoliSSE42Triple(
+ crcA, crcB, crcC uint32,
+ a, b, c []byte,
+ rounds uint32,
+) (retA uint32, retB uint32, retC uint32)
+
+// ieeeCLMUL is defined in crc_amd64.s and uses the PCLMULQDQ
+// instruction as well as SSE 4.1.
+//
+//go:noescape
+func ieeeCLMUL(crc uint32, p []byte) uint32
+
+const castagnoliK1 = 168
+const castagnoliK2 = 1344
+
+type sse42Table [4]Table
+
+var castagnoliSSE42TableK1 *sse42Table
+var castagnoliSSE42TableK2 *sse42Table
+
+func archAvailableCastagnoli() bool {
+ return cpu.X86.HasSSE42
+}
+
+func archInitCastagnoli() {
+ if !cpu.X86.HasSSE42 {
+ panic("arch-specific Castagnoli not available")
+ }
+ castagnoliSSE42TableK1 = new(sse42Table)
+ castagnoliSSE42TableK2 = new(sse42Table)
+ // See description in updateCastagnoli.
+ // t[0][i] = CRC(i000, O)
+ // t[1][i] = CRC(0i00, O)
+ // t[2][i] = CRC(00i0, O)
+ // t[3][i] = CRC(000i, O)
+ // where O is a sequence of K zeros.
+ var tmp [castagnoliK2]byte
+ for b := 0; b < 4; b++ {
+ for i := 0; i < 256; i++ {
+ val := uint32(i) << uint32(b*8)
+ castagnoliSSE42TableK1[b][i] = castagnoliSSE42(val, tmp[:castagnoliK1])
+ castagnoliSSE42TableK2[b][i] = castagnoliSSE42(val, tmp[:])
+ }
+ }
+}
+
+// castagnoliShift computes the CRC32-C of K1 or K2 zeroes (depending on the
+// table given) with the given initial crc value. This corresponds to
+// CRC(crc, O) in the description in updateCastagnoli.
+func castagnoliShift(table *sse42Table, crc uint32) uint32 {
+ return table[3][crc>>24] ^
+ table[2][(crc>>16)&0xFF] ^
+ table[1][(crc>>8)&0xFF] ^
+ table[0][crc&0xFF]
+}
+
+func archUpdateCastagnoli(crc uint32, p []byte) uint32 {
+ if !cpu.X86.HasSSE42 {
+ panic("not available")
+ }
+
+ // This method is inspired from the algorithm in Intel's white paper:
+ // "Fast CRC Computation for iSCSI Polynomial Using CRC32 Instruction"
+ // The same strategy of splitting the buffer in three is used but the
+ // combining calculation is different; the complete derivation is explained
+ // below.
+ //
+ // -- The basic idea --
+ //
+ // The CRC32 instruction (available in SSE4.2) can process 8 bytes at a
+ // time. In recent Intel architectures the instruction takes 3 cycles;
+ // however the processor can pipeline up to three instructions if they
+ // don't depend on each other.
+ //
+ // Roughly this means that we can process three buffers in about the same
+ // time we can process one buffer.
+ //
+ // The idea is then to split the buffer in three, CRC the three pieces
+ // separately and then combine the results.
+ //
+ // Combining the results requires precomputed tables, so we must choose a
+ // fixed buffer length to optimize. The longer the length, the faster; but
+ // only buffers longer than this length will use the optimization. We choose
+ // two cutoffs and compute tables for both:
+ // - one around 512: 168*3=504
+ // - one around 4KB: 1344*3=4032
+ //
+ // -- The nitty gritty --
+ //
+ // Let CRC(I, X) be the non-inverted CRC32-C of the sequence X (with
+ // initial non-inverted CRC I). This function has the following properties:
+ // (a) CRC(I, AB) = CRC(CRC(I, A), B)
+ // (b) CRC(I, A xor B) = CRC(I, A) xor CRC(0, B)
+ //
+ // Say we want to compute CRC(I, ABC) where A, B, C are three sequences of
+ // K bytes each, where K is a fixed constant. Let O be the sequence of K zero
+ // bytes.
+ //
+ // CRC(I, ABC) = CRC(I, ABO xor C)
+ // = CRC(I, ABO) xor CRC(0, C)
+ // = CRC(CRC(I, AB), O) xor CRC(0, C)
+ // = CRC(CRC(I, AO xor B), O) xor CRC(0, C)
+ // = CRC(CRC(I, AO) xor CRC(0, B), O) xor CRC(0, C)
+ // = CRC(CRC(CRC(I, A), O) xor CRC(0, B), O) xor CRC(0, C)
+ //
+ // The castagnoliSSE42Triple function can compute CRC(I, A), CRC(0, B),
+ // and CRC(0, C) efficiently. We just need to find a way to quickly compute
+ // CRC(uvwx, O) given a 4-byte initial value uvwx. We can precompute these
+ // values; since we can't have a 32-bit table, we break it up into four
+ // 8-bit tables:
+ //
+ // CRC(uvwx, O) = CRC(u000, O) xor
+ // CRC(0v00, O) xor
+ // CRC(00w0, O) xor
+ // CRC(000x, O)
+ //
+ // We can compute tables corresponding to the four terms for all 8-bit
+ // values.
+
+ crc = ^crc
+
+ // If a buffer is long enough to use the optimization, process the first few
+ // bytes to align the buffer to an 8 byte boundary (if necessary).
+ if len(p) >= castagnoliK1*3 {
+ delta := int(uintptr(unsafe.Pointer(&p[0])) & 7)
+ if delta != 0 {
+ delta = 8 - delta
+ crc = castagnoliSSE42(crc, p[:delta])
+ p = p[delta:]
+ }
+ }
+
+ // Process 3*K2 at a time.
+ for len(p) >= castagnoliK2*3 {
+ // Compute CRC(I, A), CRC(0, B), and CRC(0, C).
+ crcA, crcB, crcC := castagnoliSSE42Triple(
+ crc, 0, 0,
+ p, p[castagnoliK2:], p[castagnoliK2*2:],
+ castagnoliK2/24)
+
+ // CRC(I, AB) = CRC(CRC(I, A), O) xor CRC(0, B)
+ crcAB := castagnoliShift(castagnoliSSE42TableK2, crcA) ^ crcB
+ // CRC(I, ABC) = CRC(CRC(I, AB), O) xor CRC(0, C)
+ crc = castagnoliShift(castagnoliSSE42TableK2, crcAB) ^ crcC
+ p = p[castagnoliK2*3:]
+ }
+
+ // Process 3*K1 at a time.
+ for len(p) >= castagnoliK1*3 {
+ // Compute CRC(I, A), CRC(0, B), and CRC(0, C).
+ crcA, crcB, crcC := castagnoliSSE42Triple(
+ crc, 0, 0,
+ p, p[castagnoliK1:], p[castagnoliK1*2:],
+ castagnoliK1/24)
+
+ // CRC(I, AB) = CRC(CRC(I, A), O) xor CRC(0, B)
+ crcAB := castagnoliShift(castagnoliSSE42TableK1, crcA) ^ crcB
+ // CRC(I, ABC) = CRC(CRC(I, AB), O) xor CRC(0, C)
+ crc = castagnoliShift(castagnoliSSE42TableK1, crcAB) ^ crcC
+ p = p[castagnoliK1*3:]
+ }
+
+ // Use the simple implementation for what's left.
+ crc = castagnoliSSE42(crc, p)
+ return ^crc
+}
+
+func archAvailableIEEE() bool {
+ return cpu.X86.HasPCLMULQDQ && cpu.X86.HasSSE41
+}
+
+var archIeeeTable8 *slicing8Table
+
+func archInitIEEE() {
+ if !cpu.X86.HasPCLMULQDQ || !cpu.X86.HasSSE41 {
+ panic("not available")
+ }
+ // We still use slicing-by-8 for small buffers.
+ archIeeeTable8 = slicingMakeTable(IEEE)
+}
+
+func archUpdateIEEE(crc uint32, p []byte) uint32 {
+ if !cpu.X86.HasPCLMULQDQ || !cpu.X86.HasSSE41 {
+ panic("not available")
+ }
+
+ if len(p) >= 64 {
+ left := len(p) & 15
+ do := len(p) - left
+ crc = ^ieeeCLMUL(^crc, p[:do])
+ p = p[do:]
+ }
+ if len(p) == 0 {
+ return crc
+ }
+ return slicingUpdate(crc, archIeeeTable8, p)
+}
diff --git a/src/hash/crc32/crc32_amd64.s b/src/hash/crc32/crc32_amd64.s
new file mode 100644
index 0000000..6af6c25
--- /dev/null
+++ b/src/hash/crc32/crc32_amd64.s
@@ -0,0 +1,279 @@
+// Copyright 2011 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+#include "textflag.h"
+
+// castagnoliSSE42 updates the (non-inverted) crc with the given buffer.
+//
+// func castagnoliSSE42(crc uint32, p []byte) uint32
+TEXT ·castagnoliSSE42(SB),NOSPLIT,$0
+ MOVL crc+0(FP), AX // CRC value
+ MOVQ p+8(FP), SI // data pointer
+ MOVQ p_len+16(FP), CX // len(p)
+
+ // If there are fewer than 8 bytes to process, skip alignment.
+ CMPQ CX, $8
+ JL less_than_8
+
+ MOVQ SI, BX
+ ANDQ $7, BX
+ JZ aligned
+
+ // Process the first few bytes to 8-byte align the input.
+
+ // BX = 8 - BX. We need to process this many bytes to align.
+ SUBQ $1, BX
+ XORQ $7, BX
+
+ BTQ $0, BX
+ JNC align_2
+
+ CRC32B (SI), AX
+ DECQ CX
+ INCQ SI
+
+align_2:
+ BTQ $1, BX
+ JNC align_4
+
+ CRC32W (SI), AX
+
+ SUBQ $2, CX
+ ADDQ $2, SI
+
+align_4:
+ BTQ $2, BX
+ JNC aligned
+
+ CRC32L (SI), AX
+
+ SUBQ $4, CX
+ ADDQ $4, SI
+
+aligned:
+ // The input is now 8-byte aligned and we can process 8-byte chunks.
+ CMPQ CX, $8
+ JL less_than_8
+
+ CRC32Q (SI), AX
+ ADDQ $8, SI
+ SUBQ $8, CX
+ JMP aligned
+
+less_than_8:
+ // We may have some bytes left over; process 4 bytes, then 2, then 1.
+ BTQ $2, CX
+ JNC less_than_4
+
+ CRC32L (SI), AX
+ ADDQ $4, SI
+
+less_than_4:
+ BTQ $1, CX
+ JNC less_than_2
+
+ CRC32W (SI), AX
+ ADDQ $2, SI
+
+less_than_2:
+ BTQ $0, CX
+ JNC done
+
+ CRC32B (SI), AX
+
+done:
+ MOVL AX, ret+32(FP)
+ RET
+
+// castagnoliSSE42Triple updates three (non-inverted) crcs with (24*rounds)
+// bytes from each buffer.
+//
+// func castagnoliSSE42Triple(
+// crc1, crc2, crc3 uint32,
+// a, b, c []byte,
+// rounds uint32,
+// ) (retA uint32, retB uint32, retC uint32)
+TEXT ·castagnoliSSE42Triple(SB),NOSPLIT,$0
+ MOVL crcA+0(FP), AX
+ MOVL crcB+4(FP), CX
+ MOVL crcC+8(FP), DX
+
+ MOVQ a+16(FP), R8 // data pointer
+ MOVQ b+40(FP), R9 // data pointer
+ MOVQ c+64(FP), R10 // data pointer
+
+ MOVL rounds+88(FP), R11
+
+loop:
+ CRC32Q (R8), AX
+ CRC32Q (R9), CX
+ CRC32Q (R10), DX
+
+ CRC32Q 8(R8), AX
+ CRC32Q 8(R9), CX
+ CRC32Q 8(R10), DX
+
+ CRC32Q 16(R8), AX
+ CRC32Q 16(R9), CX
+ CRC32Q 16(R10), DX
+
+ ADDQ $24, R8
+ ADDQ $24, R9
+ ADDQ $24, R10
+
+ DECQ R11
+ JNZ loop
+
+ MOVL AX, retA+96(FP)
+ MOVL CX, retB+100(FP)
+ MOVL DX, retC+104(FP)
+ RET
+
+// CRC32 polynomial data
+//
+// These constants are lifted from the
+// Linux kernel, since they avoid the costly
+// PSHUFB 16 byte reversal proposed in the
+// original Intel paper.
+DATA r2r1<>+0(SB)/8, $0x154442bd4
+DATA r2r1<>+8(SB)/8, $0x1c6e41596
+DATA r4r3<>+0(SB)/8, $0x1751997d0
+DATA r4r3<>+8(SB)/8, $0x0ccaa009e
+DATA rupoly<>+0(SB)/8, $0x1db710641
+DATA rupoly<>+8(SB)/8, $0x1f7011641
+DATA r5<>+0(SB)/8, $0x163cd6124
+
+GLOBL r2r1<>(SB),RODATA,$16
+GLOBL r4r3<>(SB),RODATA,$16
+GLOBL rupoly<>(SB),RODATA,$16
+GLOBL r5<>(SB),RODATA,$8
+
+// Based on https://www.intel.com/content/dam/www/public/us/en/documents/white-papers/fast-crc-computation-generic-polynomials-pclmulqdq-paper.pdf
+// len(p) must be at least 64, and must be a multiple of 16.
+
+// func ieeeCLMUL(crc uint32, p []byte) uint32
+TEXT ·ieeeCLMUL(SB),NOSPLIT,$0
+ MOVL crc+0(FP), X0 // Initial CRC value
+ MOVQ p+8(FP), SI // data pointer
+ MOVQ p_len+16(FP), CX // len(p)
+
+ MOVOU (SI), X1
+ MOVOU 16(SI), X2
+ MOVOU 32(SI), X3
+ MOVOU 48(SI), X4
+ PXOR X0, X1
+ ADDQ $64, SI // buf+=64
+ SUBQ $64, CX // len-=64
+ CMPQ CX, $64 // Less than 64 bytes left
+ JB remain64
+
+ MOVOA r2r1<>+0(SB), X0
+loopback64:
+ MOVOA X1, X5
+ MOVOA X2, X6
+ MOVOA X3, X7
+ MOVOA X4, X8
+
+ PCLMULQDQ $0, X0, X1
+ PCLMULQDQ $0, X0, X2
+ PCLMULQDQ $0, X0, X3
+ PCLMULQDQ $0, X0, X4
+
+ /* Load next early */
+ MOVOU (SI), X11
+ MOVOU 16(SI), X12
+ MOVOU 32(SI), X13
+ MOVOU 48(SI), X14
+
+ PCLMULQDQ $0x11, X0, X5
+ PCLMULQDQ $0x11, X0, X6
+ PCLMULQDQ $0x11, X0, X7
+ PCLMULQDQ $0x11, X0, X8
+
+ PXOR X5, X1
+ PXOR X6, X2
+ PXOR X7, X3
+ PXOR X8, X4
+
+ PXOR X11, X1
+ PXOR X12, X2
+ PXOR X13, X3
+ PXOR X14, X4
+
+ ADDQ $0x40, DI
+ ADDQ $64, SI // buf+=64
+ SUBQ $64, CX // len-=64
+ CMPQ CX, $64 // Less than 64 bytes left?
+ JGE loopback64
+
+ /* Fold result into a single register (X1) */
+remain64:
+ MOVOA r4r3<>+0(SB), X0
+
+ MOVOA X1, X5
+ PCLMULQDQ $0, X0, X1
+ PCLMULQDQ $0x11, X0, X5
+ PXOR X5, X1
+ PXOR X2, X1
+
+ MOVOA X1, X5
+ PCLMULQDQ $0, X0, X1
+ PCLMULQDQ $0x11, X0, X5
+ PXOR X5, X1
+ PXOR X3, X1
+
+ MOVOA X1, X5
+ PCLMULQDQ $0, X0, X1
+ PCLMULQDQ $0x11, X0, X5
+ PXOR X5, X1
+ PXOR X4, X1
+
+ /* If there is less than 16 bytes left we are done */
+ CMPQ CX, $16
+ JB finish
+
+ /* Encode 16 bytes */
+remain16:
+ MOVOU (SI), X10
+ MOVOA X1, X5
+ PCLMULQDQ $0, X0, X1
+ PCLMULQDQ $0x11, X0, X5
+ PXOR X5, X1
+ PXOR X10, X1
+ SUBQ $16, CX
+ ADDQ $16, SI
+ CMPQ CX, $16
+ JGE remain16
+
+finish:
+ /* Fold final result into 32 bits and return it */
+ PCMPEQB X3, X3
+ PCLMULQDQ $1, X1, X0
+ PSRLDQ $8, X1
+ PXOR X0, X1
+
+ MOVOA X1, X2
+ MOVQ r5<>+0(SB), X0
+
+ /* Creates 32 bit mask. Note that we don't care about upper half. */
+ PSRLQ $32, X3
+
+ PSRLDQ $4, X2
+ PAND X3, X1
+ PCLMULQDQ $0, X0, X1
+ PXOR X2, X1
+
+ MOVOA rupoly<>+0(SB), X0
+
+ MOVOA X1, X2
+ PAND X3, X1
+ PCLMULQDQ $0x10, X0, X1
+ PAND X3, X1
+ PCLMULQDQ $0, X0, X1
+ PXOR X2, X1
+
+ PEXTRD $1, X1, AX
+ MOVL AX, ret+32(FP)
+
+ RET
diff --git a/src/hash/crc32/crc32_arm64.go b/src/hash/crc32/crc32_arm64.go
new file mode 100644
index 0000000..9674b76
--- /dev/null
+++ b/src/hash/crc32/crc32_arm64.go
@@ -0,0 +1,50 @@
+// Copyright 2017 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// ARM64-specific hardware-assisted CRC32 algorithms. See crc32.go for a
+// description of the interface that each architecture-specific file
+// implements.
+
+package crc32
+
+import "internal/cpu"
+
+func castagnoliUpdate(crc uint32, p []byte) uint32
+func ieeeUpdate(crc uint32, p []byte) uint32
+
+func archAvailableCastagnoli() bool {
+ return cpu.ARM64.HasCRC32
+}
+
+func archInitCastagnoli() {
+ if !cpu.ARM64.HasCRC32 {
+ panic("arch-specific crc32 instruction for Castagnoli not available")
+ }
+}
+
+func archUpdateCastagnoli(crc uint32, p []byte) uint32 {
+ if !cpu.ARM64.HasCRC32 {
+ panic("arch-specific crc32 instruction for Castagnoli not available")
+ }
+
+ return ^castagnoliUpdate(^crc, p)
+}
+
+func archAvailableIEEE() bool {
+ return cpu.ARM64.HasCRC32
+}
+
+func archInitIEEE() {
+ if !cpu.ARM64.HasCRC32 {
+ panic("arch-specific crc32 instruction for IEEE not available")
+ }
+}
+
+func archUpdateIEEE(crc uint32, p []byte) uint32 {
+ if !cpu.ARM64.HasCRC32 {
+ panic("arch-specific crc32 instruction for IEEE not available")
+ }
+
+ return ^ieeeUpdate(^crc, p)
+}
diff --git a/src/hash/crc32/crc32_arm64.s b/src/hash/crc32/crc32_arm64.s
new file mode 100644
index 0000000..85a113f
--- /dev/null
+++ b/src/hash/crc32/crc32_arm64.s
@@ -0,0 +1,97 @@
+// Copyright 2017 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+#include "textflag.h"
+
+// castagnoliUpdate updates the non-inverted crc with the given data.
+
+// func castagnoliUpdate(crc uint32, p []byte) uint32
+TEXT ·castagnoliUpdate(SB),NOSPLIT,$0-36
+ MOVWU crc+0(FP), R9 // CRC value
+ MOVD p+8(FP), R13 // data pointer
+ MOVD p_len+16(FP), R11 // len(p)
+
+update:
+ CMP $16, R11
+ BLT less_than_16
+ LDP.P 16(R13), (R8, R10)
+ CRC32CX R8, R9
+ CRC32CX R10, R9
+ SUB $16, R11
+
+ JMP update
+
+less_than_16:
+ TBZ $3, R11, less_than_8
+
+ MOVD.P 8(R13), R10
+ CRC32CX R10, R9
+
+less_than_8:
+ TBZ $2, R11, less_than_4
+
+ MOVWU.P 4(R13), R10
+ CRC32CW R10, R9
+
+less_than_4:
+ TBZ $1, R11, less_than_2
+
+ MOVHU.P 2(R13), R10
+ CRC32CH R10, R9
+
+less_than_2:
+ TBZ $0, R11, done
+
+ MOVBU (R13), R10
+ CRC32CB R10, R9
+
+done:
+ MOVWU R9, ret+32(FP)
+ RET
+
+// ieeeUpdate updates the non-inverted crc with the given data.
+
+// func ieeeUpdate(crc uint32, p []byte) uint32
+TEXT ·ieeeUpdate(SB),NOSPLIT,$0-36
+ MOVWU crc+0(FP), R9 // CRC value
+ MOVD p+8(FP), R13 // data pointer
+ MOVD p_len+16(FP), R11 // len(p)
+
+update:
+ CMP $16, R11
+ BLT less_than_16
+ LDP.P 16(R13), (R8, R10)
+ CRC32X R8, R9
+ CRC32X R10, R9
+ SUB $16, R11
+
+ JMP update
+
+less_than_16:
+ TBZ $3, R11, less_than_8
+
+ MOVD.P 8(R13), R10
+ CRC32X R10, R9
+
+less_than_8:
+ TBZ $2, R11, less_than_4
+
+ MOVWU.P 4(R13), R10
+ CRC32W R10, R9
+
+less_than_4:
+ TBZ $1, R11, less_than_2
+
+ MOVHU.P 2(R13), R10
+ CRC32H R10, R9
+
+less_than_2:
+ TBZ $0, R11, done
+
+ MOVBU (R13), R10
+ CRC32B R10, R9
+
+done:
+ MOVWU R9, ret+32(FP)
+ RET
diff --git a/src/hash/crc32/crc32_generic.go b/src/hash/crc32/crc32_generic.go
new file mode 100644
index 0000000..abacbb6
--- /dev/null
+++ b/src/hash/crc32/crc32_generic.go
@@ -0,0 +1,89 @@
+// Copyright 2011 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// This file contains CRC32 algorithms that are not specific to any architecture
+// and don't use hardware acceleration.
+//
+// The simple (and slow) CRC32 implementation only uses a 256*4 bytes table.
+//
+// The slicing-by-8 algorithm is a faster implementation that uses a bigger
+// table (8*256*4 bytes).
+
+package crc32
+
+// simpleMakeTable allocates and constructs a Table for the specified
+// polynomial. The table is suitable for use with the simple algorithm
+// (simpleUpdate).
+func simpleMakeTable(poly uint32) *Table {
+ t := new(Table)
+ simplePopulateTable(poly, t)
+ return t
+}
+
+// simplePopulateTable constructs a Table for the specified polynomial, suitable
+// for use with simpleUpdate.
+func simplePopulateTable(poly uint32, t *Table) {
+ for i := 0; i < 256; i++ {
+ crc := uint32(i)
+ for j := 0; j < 8; j++ {
+ if crc&1 == 1 {
+ crc = (crc >> 1) ^ poly
+ } else {
+ crc >>= 1
+ }
+ }
+ t[i] = crc
+ }
+}
+
+// simpleUpdate uses the simple algorithm to update the CRC, given a table that
+// was previously computed using simpleMakeTable.
+func simpleUpdate(crc uint32, tab *Table, p []byte) uint32 {
+ crc = ^crc
+ for _, v := range p {
+ crc = tab[byte(crc)^v] ^ (crc >> 8)
+ }
+ return ^crc
+}
+
+// Use slicing-by-8 when payload >= this value.
+const slicing8Cutoff = 16
+
+// slicing8Table is array of 8 Tables, used by the slicing-by-8 algorithm.
+type slicing8Table [8]Table
+
+// slicingMakeTable constructs a slicing8Table for the specified polynomial. The
+// table is suitable for use with the slicing-by-8 algorithm (slicingUpdate).
+func slicingMakeTable(poly uint32) *slicing8Table {
+ t := new(slicing8Table)
+ simplePopulateTable(poly, &t[0])
+ for i := 0; i < 256; i++ {
+ crc := t[0][i]
+ for j := 1; j < 8; j++ {
+ crc = t[0][crc&0xFF] ^ (crc >> 8)
+ t[j][i] = crc
+ }
+ }
+ return t
+}
+
+// slicingUpdate uses the slicing-by-8 algorithm to update the CRC, given a
+// table that was previously computed using slicingMakeTable.
+func slicingUpdate(crc uint32, tab *slicing8Table, p []byte) uint32 {
+ if len(p) >= slicing8Cutoff {
+ crc = ^crc
+ for len(p) > 8 {
+ crc ^= uint32(p[0]) | uint32(p[1])<<8 | uint32(p[2])<<16 | uint32(p[3])<<24
+ crc = tab[0][p[7]] ^ tab[1][p[6]] ^ tab[2][p[5]] ^ tab[3][p[4]] ^
+ tab[4][crc>>24] ^ tab[5][(crc>>16)&0xFF] ^
+ tab[6][(crc>>8)&0xFF] ^ tab[7][crc&0xFF]
+ p = p[8:]
+ }
+ crc = ^crc
+ }
+ if len(p) == 0 {
+ return crc
+ }
+ return simpleUpdate(crc, &tab[0], p)
+}
diff --git a/src/hash/crc32/crc32_otherarch.go b/src/hash/crc32/crc32_otherarch.go
new file mode 100644
index 0000000..7625152
--- /dev/null
+++ b/src/hash/crc32/crc32_otherarch.go
@@ -0,0 +1,15 @@
+// Copyright 2011 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+//go:build !amd64 && !s390x && !ppc64le && !arm64
+
+package crc32
+
+func archAvailableIEEE() bool { return false }
+func archInitIEEE() { panic("not available") }
+func archUpdateIEEE(crc uint32, p []byte) uint32 { panic("not available") }
+
+func archAvailableCastagnoli() bool { return false }
+func archInitCastagnoli() { panic("not available") }
+func archUpdateCastagnoli(crc uint32, p []byte) uint32 { panic("not available") }
diff --git a/src/hash/crc32/crc32_ppc64le.go b/src/hash/crc32/crc32_ppc64le.go
new file mode 100644
index 0000000..c22e38e
--- /dev/null
+++ b/src/hash/crc32/crc32_ppc64le.go
@@ -0,0 +1,88 @@
+// Copyright 2017 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package crc32
+
+import (
+ "unsafe"
+)
+
+const (
+ vecMinLen = 16
+ vecAlignMask = 15 // align to 16 bytes
+ crcIEEE = 1
+ crcCast = 2
+)
+
+//go:noescape
+func ppc64SlicingUpdateBy8(crc uint32, table8 *slicing8Table, p []byte) uint32
+
+// this function requires the buffer to be 16 byte aligned and > 16 bytes long.
+//
+//go:noescape
+func vectorCrc32(crc uint32, poly uint32, p []byte) uint32
+
+var archCastagnoliTable8 *slicing8Table
+
+func archInitCastagnoli() {
+ archCastagnoliTable8 = slicingMakeTable(Castagnoli)
+}
+
+func archUpdateCastagnoli(crc uint32, p []byte) uint32 {
+ if len(p) >= 4*vecMinLen {
+ // If not aligned then process the initial unaligned bytes
+
+ if uint64(uintptr(unsafe.Pointer(&p[0])))&uint64(vecAlignMask) != 0 {
+ align := uint64(uintptr(unsafe.Pointer(&p[0]))) & uint64(vecAlignMask)
+ newlen := vecMinLen - align
+ crc = ppc64SlicingUpdateBy8(crc, archCastagnoliTable8, p[:newlen])
+ p = p[newlen:]
+ }
+ // p should be aligned now
+ aligned := len(p) & ^vecAlignMask
+ crc = vectorCrc32(crc, crcCast, p[:aligned])
+ p = p[aligned:]
+ }
+ if len(p) == 0 {
+ return crc
+ }
+ return ppc64SlicingUpdateBy8(crc, archCastagnoliTable8, p)
+}
+
+func archAvailableIEEE() bool {
+ return true
+}
+func archAvailableCastagnoli() bool {
+ return true
+}
+
+var archIeeeTable8 *slicing8Table
+
+func archInitIEEE() {
+ // We still use slicing-by-8 for small buffers.
+ archIeeeTable8 = slicingMakeTable(IEEE)
+}
+
+// archUpdateIEEE calculates the checksum of p using vectorizedIEEE.
+func archUpdateIEEE(crc uint32, p []byte) uint32 {
+
+ // Check if vector code should be used. If not aligned, then handle those
+ // first up to the aligned bytes.
+
+ if len(p) >= 4*vecMinLen {
+ if uint64(uintptr(unsafe.Pointer(&p[0])))&uint64(vecAlignMask) != 0 {
+ align := uint64(uintptr(unsafe.Pointer(&p[0]))) & uint64(vecAlignMask)
+ newlen := vecMinLen - align
+ crc = ppc64SlicingUpdateBy8(crc, archIeeeTable8, p[:newlen])
+ p = p[newlen:]
+ }
+ aligned := len(p) & ^vecAlignMask
+ crc = vectorCrc32(crc, crcIEEE, p[:aligned])
+ p = p[aligned:]
+ }
+ if len(p) == 0 {
+ return crc
+ }
+ return ppc64SlicingUpdateBy8(crc, archIeeeTable8, p)
+}
diff --git a/src/hash/crc32/crc32_ppc64le.s b/src/hash/crc32/crc32_ppc64le.s
new file mode 100644
index 0000000..763d327
--- /dev/null
+++ b/src/hash/crc32/crc32_ppc64le.s
@@ -0,0 +1,705 @@
+// Copyright 2017 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// The vectorized implementation found below is a derived work
+// from code written by Anton Blanchard <anton@au.ibm.com> found
+// at https://github.com/antonblanchard/crc32-vpmsum. The original
+// is dual licensed under GPL and Apache 2. As the copyright holder
+// for the work, IBM has contributed this new work under
+// the golang license.
+
+// Changes include porting to Go assembler with modifications for
+// the Go ABI for ppc64le.
+
+#include "textflag.h"
+
+#define POWER8_OFFSET 132
+
+#define off16 R16
+#define off32 R17
+#define off48 R18
+#define off64 R19
+#define off80 R20
+#define off96 R21
+#define off112 R22
+
+#define const1 V24
+#define const2 V25
+
+#define byteswap V26
+#define mask_32bit V27
+#define mask_64bit V28
+#define zeroes V29
+
+#define MAX_SIZE 32*1024
+#define REFLECT
+
+TEXT ·ppc64SlicingUpdateBy8(SB), NOSPLIT|NOFRAME, $0-44
+ MOVWZ crc+0(FP), R3 // incoming crc
+ MOVD table8+8(FP), R4 // *Table
+ MOVD p+16(FP), R5
+ MOVD p_len+24(FP), R6 // p len
+
+ CMP $0,R6 // len == 0?
+ BNE start
+ MOVW R3,ret+40(FP) // return crc
+ RET
+
+start:
+ NOR R3,R3,R7 // ^crc
+ MOVWZ R7,R7 // 32 bits
+ CMP R6,$16
+ MOVD R6,CTR
+ BLT short
+ SRAD $3,R6,R8 // 8 byte chunks
+ MOVD R8,CTR
+
+loop:
+ MOVWZ 0(R5),R8 // 0-3 bytes of p ?Endian?
+ MOVWZ 4(R5),R9 // 4-7 bytes of p
+ MOVD R4,R10 // &tab[0]
+ XOR R7,R8,R7 // crc ^= byte[0:3]
+ RLDICL $40,R9,$56,R17 // p[7]
+ SLD $2,R17,R17 // p[7]*4
+ RLDICL $40,R7,$56,R8 // crc>>24
+ ADD R17,R10,R17 // &tab[0][p[7]]
+ SLD $2,R8,R8 // crc>>24*4
+ RLDICL $48,R9,$56,R18 // p[6]
+ SLD $2,R18,R18 // p[6]*4
+ ADD $1024,R10,R10 // tab[1]
+ MOVWZ 0(R17),R21 // tab[0][p[7]]
+ RLDICL $56,R9,$56,R19 // p[5]
+ ADD R10,R18,R18 // &tab[1][p[6]]
+ SLD $2,R19,R19 // p[5]*4:1
+ MOVWZ 0(R18),R22 // tab[1][p[6]]
+ ADD $1024,R10,R10 // tab[2]
+ XOR R21,R22,R21 // xor done R22
+ ADD R19,R10,R19 // &tab[2][p[5]]
+ ANDCC $255,R9,R20 // p[4] ??
+ SLD $2,R20,R20 // p[4]*4
+ MOVWZ 0(R19),R23 // tab[2][p[5]]
+ ADD $1024,R10,R10 // &tab[3]
+ ADD R20,R10,R20 // tab[3][p[4]]
+ XOR R21,R23,R21 // xor done R23
+ ADD $1024,R10,R10 // &tab[4]
+ MOVWZ 0(R20),R24 // tab[3][p[4]]
+ ADD R10,R8,R23 // &tab[4][crc>>24]
+ XOR R21,R24,R21 // xor done R24
+ MOVWZ 0(R23),R25 // tab[4][crc>>24]
+ RLDICL $48,R7,$56,R24 // crc>>16&0xFF
+ XOR R21,R25,R21 // xor done R25
+ ADD $1024,R10,R10 // &tab[5]
+ SLD $2,R24,R24 // crc>>16&0xFF*4
+ ADD R24,R10,R24 // &tab[5][crc>>16&0xFF]
+ MOVWZ 0(R24),R26 // tab[5][crc>>16&0xFF]
+ XOR R21,R26,R21 // xor done R26
+ RLDICL $56,R7,$56,R25 // crc>>8
+ ADD $1024,R10,R10 // &tab[6]
+ SLD $2,R25,R25 // crc>>8&FF*2
+ ADD R25,R10,R25 // &tab[6][crc>>8&0xFF]
+ MOVBZ R7,R26 // crc&0xFF
+ ADD $1024,R10,R10 // &tab[7]
+ MOVWZ 0(R25),R27 // tab[6][crc>>8&0xFF]
+ SLD $2,R26,R26 // crc&0xFF*2
+ XOR R21,R27,R21 // xor done R27
+ ADD R26,R10,R26 // &tab[7][crc&0xFF]
+ ADD $8,R5 // p = p[8:]
+ MOVWZ 0(R26),R28 // tab[7][crc&0xFF]
+ XOR R21,R28,R21 // xor done R28
+ MOVWZ R21,R7 // crc for next round
+ BC 16,0,loop // next 8 bytes
+ ANDCC $7,R6,R8 // any leftover bytes
+ BEQ done // none --> done
+ MOVD R8,CTR // byte count
+ PCALIGN $16 // align short loop
+short:
+ MOVBZ 0(R5),R8 // get v
+ MOVBZ R7,R9 // byte(crc) -> R8 BE vs LE?
+ SRD $8,R7,R14 // crc>>8
+ XOR R8,R9,R8 // byte(crc)^v -> R8
+ ADD $1,R5 // ptr to next v
+ SLD $2,R8 // convert index-> bytes
+ ADD R8,R4,R9 // &tab[byte(crc)^v]
+ MOVWZ 0(R9),R10 // tab[byte(crc)^v]
+ XOR R10,R14,R7 // loop crc in R7
+ BC 16,0,short
+done:
+ NOR R7,R7,R7 // ^crc
+ MOVW R7,ret+40(FP) // return crc
+ RET
+
+#ifdef BYTESWAP_DATA
+DATA ·byteswapcons+0(SB)/8,$0x0706050403020100
+DATA ·byteswapcons+8(SB)/8,$0x0f0e0d0c0b0a0908
+
+GLOBL ·byteswapcons+0(SB),RODATA,$16
+#endif
+
+TEXT ·vectorCrc32(SB), NOSPLIT|NOFRAME, $0-36
+ MOVWZ crc+0(FP), R3 // incoming crc
+ MOVWZ ctab+4(FP), R14 // crc poly id
+ MOVD p+8(FP), R4
+ MOVD p_len+16(FP), R5 // p len
+
+ // R3 = incoming crc
+ // R14 = constant table identifier
+ // R5 = address of bytes
+ // R6 = length of bytes
+
+ // defines for index loads
+
+ MOVD $16,off16
+ MOVD $32,off32
+ MOVD $48,off48
+ MOVD $64,off64
+ MOVD $80,off80
+ MOVD $96,off96
+ MOVD $112,off112
+ MOVD $0,R15
+
+ MOVD R3,R10 // save initial crc
+
+ NOR R3,R3,R3 // ^crc
+ MOVWZ R3,R3 // 32 bits
+ VXOR zeroes,zeroes,zeroes // clear the V reg
+ VSPLTISW $-1,V0
+ VSLDOI $4,V29,V0,mask_32bit
+ VSLDOI $8,V29,V0,mask_64bit
+
+ VXOR V8,V8,V8
+ MTVSRD R3,VS40 // crc initial value VS40 = V8
+
+#ifdef REFLECT
+ VSLDOI $8,zeroes,V8,V8 // or: VSLDOI V29,V8,V27,4 for top 32 bits?
+#else
+ VSLDOI $4,V8,zeroes,V8
+#endif
+
+#ifdef BYTESWAP_DATA
+ MOVD $·byteswapcons(SB),R3
+ LVX (R3),byteswap
+#endif
+
+ CMPU R5,$256 // length of bytes
+ BLT short
+
+ RLDICR $0,R5,$56,R6 // chunk to process
+
+ // First step for larger sizes
+l1: MOVD $32768,R7
+ MOVD R7,R9
+ CMP R6,R7 // compare R6, R7 (MAX SIZE)
+ BGT top // less than MAX, just do remainder
+ MOVD R6,R7
+top:
+ SUB R7,R6,R6
+
+ // mainloop does 128 bytes at a time
+ SRD $7,R7
+
+ // determine the offset into the constants table to start with.
+ // Each constant is 128 bytes, used against 16 bytes of data.
+ SLD $4,R7,R8
+ SRD $3,R9,R9
+ SUB R8,R9,R8
+
+ // The last iteration is reduced in a separate step
+ ADD $-1,R7
+ MOVD R7,CTR
+
+ // Determine which constant table (depends on poly)
+ CMP R14,$1
+ BNE castTable
+ MOVD $·IEEEConst(SB),R3
+ BR startConst
+castTable:
+ MOVD $·CastConst(SB),R3
+
+startConst:
+ ADD R3,R8,R3 // starting point in constants table
+
+ VXOR V0,V0,V0 // clear the V regs
+ VXOR V1,V1,V1
+ VXOR V2,V2,V2
+ VXOR V3,V3,V3
+ VXOR V4,V4,V4
+ VXOR V5,V5,V5
+ VXOR V6,V6,V6
+ VXOR V7,V7,V7
+
+ LVX (R3),const1 // loading constant values
+
+ CMP R15,$1 // Identify warm up pass
+ BEQ next
+
+ // First warm up pass: load the bytes to process
+ LVX (R4),V16
+ LVX (R4+off16),V17
+ LVX (R4+off32),V18
+ LVX (R4+off48),V19
+ LVX (R4+off64),V20
+ LVX (R4+off80),V21
+ LVX (R4+off96),V22
+ LVX (R4+off112),V23
+ ADD $128,R4 // bump up to next 128 bytes in buffer
+
+ VXOR V16,V8,V16 // xor in initial CRC in V8
+
+next:
+ BC 18,0,first_warm_up_done
+
+ ADD $16,R3 // bump up to next constants
+ LVX (R3),const2 // table values
+
+ VPMSUMD V16,const1,V8 // second warm up pass
+ LVX (R4),V16 // load from buffer
+ OR $0,R2,R2
+
+ VPMSUMD V17,const1,V9 // vpmsumd with constants
+ LVX (R4+off16),V17 // load next from buffer
+ OR $0,R2,R2
+
+ VPMSUMD V18,const1,V10 // vpmsumd with constants
+ LVX (R4+off32),V18 // load next from buffer
+ OR $0,R2,R2
+
+ VPMSUMD V19,const1,V11 // vpmsumd with constants
+ LVX (R4+off48),V19 // load next from buffer
+ OR $0,R2,R2
+
+ VPMSUMD V20,const1,V12 // vpmsumd with constants
+ LVX (R4+off64),V20 // load next from buffer
+ OR $0,R2,R2
+
+ VPMSUMD V21,const1,V13 // vpmsumd with constants
+ LVX (R4+off80),V21 // load next from buffer
+ OR $0,R2,R2
+
+ VPMSUMD V22,const1,V14 // vpmsumd with constants
+ LVX (R4+off96),V22 // load next from buffer
+ OR $0,R2,R2
+
+ VPMSUMD V23,const1,V15 // vpmsumd with constants
+ LVX (R4+off112),V23 // load next from buffer
+
+ ADD $128,R4 // bump up to next 128 bytes in buffer
+
+ BC 18,0,first_cool_down
+
+cool_top:
+ LVX (R3),const1 // constants
+ ADD $16,R3 // inc to next constants
+ OR $0,R2,R2
+
+ VXOR V0,V8,V0 // xor in previous vpmsumd
+ VPMSUMD V16,const2,V8 // vpmsumd with constants
+ LVX (R4),V16 // buffer
+ OR $0,R2,R2
+
+ VXOR V1,V9,V1 // xor in previous
+ VPMSUMD V17,const2,V9 // vpmsumd with constants
+ LVX (R4+off16),V17 // next in buffer
+ OR $0,R2,R2
+
+ VXOR V2,V10,V2 // xor in previous
+ VPMSUMD V18,const2,V10 // vpmsumd with constants
+ LVX (R4+off32),V18 // next in buffer
+ OR $0,R2,R2
+
+ VXOR V3,V11,V3 // xor in previous
+ VPMSUMD V19,const2,V11 // vpmsumd with constants
+ LVX (R4+off48),V19 // next in buffer
+ LVX (R3),const2 // get next constant
+ OR $0,R2,R2
+
+ VXOR V4,V12,V4 // xor in previous
+ VPMSUMD V20,const1,V12 // vpmsumd with constants
+ LVX (R4+off64),V20 // next in buffer
+ OR $0,R2,R2
+
+ VXOR V5,V13,V5 // xor in previous
+ VPMSUMD V21,const1,V13 // vpmsumd with constants
+ LVX (R4+off80),V21 // next in buffer
+ OR $0,R2,R2
+
+ VXOR V6,V14,V6 // xor in previous
+ VPMSUMD V22,const1,V14 // vpmsumd with constants
+ LVX (R4+off96),V22 // next in buffer
+ OR $0,R2,R2
+
+ VXOR V7,V15,V7 // xor in previous
+ VPMSUMD V23,const1,V15 // vpmsumd with constants
+ LVX (R4+off112),V23 // next in buffer
+
+ ADD $128,R4 // bump up buffer pointer
+ BC 16,0,cool_top // are we done?
+
+first_cool_down:
+
+ // load the constants
+ // xor in the previous value
+ // vpmsumd the result with constants
+
+ LVX (R3),const1
+ ADD $16,R3
+
+ VXOR V0,V8,V0
+ VPMSUMD V16,const1,V8
+ OR $0,R2,R2
+
+ VXOR V1,V9,V1
+ VPMSUMD V17,const1,V9
+ OR $0,R2,R2
+
+ VXOR V2,V10,V2
+ VPMSUMD V18,const1,V10
+ OR $0,R2,R2
+
+ VXOR V3,V11,V3
+ VPMSUMD V19,const1,V11
+ OR $0,R2,R2
+
+ VXOR V4,V12,V4
+ VPMSUMD V20,const1,V12
+ OR $0,R2,R2
+
+ VXOR V5,V13,V5
+ VPMSUMD V21,const1,V13
+ OR $0,R2,R2
+
+ VXOR V6,V14,V6
+ VPMSUMD V22,const1,V14
+ OR $0,R2,R2
+
+ VXOR V7,V15,V7
+ VPMSUMD V23,const1,V15
+ OR $0,R2,R2
+
+second_cool_down:
+
+ VXOR V0,V8,V0
+ VXOR V1,V9,V1
+ VXOR V2,V10,V2
+ VXOR V3,V11,V3
+ VXOR V4,V12,V4
+ VXOR V5,V13,V5
+ VXOR V6,V14,V6
+ VXOR V7,V15,V7
+
+#ifdef REFLECT
+ VSLDOI $4,V0,zeroes,V0
+ VSLDOI $4,V1,zeroes,V1
+ VSLDOI $4,V2,zeroes,V2
+ VSLDOI $4,V3,zeroes,V3
+ VSLDOI $4,V4,zeroes,V4
+ VSLDOI $4,V5,zeroes,V5
+ VSLDOI $4,V6,zeroes,V6
+ VSLDOI $4,V7,zeroes,V7
+#endif
+
+ LVX (R4),V8
+ LVX (R4+off16),V9
+ LVX (R4+off32),V10
+ LVX (R4+off48),V11
+ LVX (R4+off64),V12
+ LVX (R4+off80),V13
+ LVX (R4+off96),V14
+ LVX (R4+off112),V15
+
+ ADD $128,R4
+
+ VXOR V0,V8,V16
+ VXOR V1,V9,V17
+ VXOR V2,V10,V18
+ VXOR V3,V11,V19
+ VXOR V4,V12,V20
+ VXOR V5,V13,V21
+ VXOR V6,V14,V22
+ VXOR V7,V15,V23
+
+ MOVD $1,R15
+ CMP $0,R6
+ ADD $128,R6
+
+ BNE l1
+ ANDCC $127,R5
+ SUBC R5,$128,R6
+ ADD R3,R6,R3
+
+ SRD $4,R5,R7
+ MOVD R7,CTR
+ LVX (R3),V0
+ LVX (R3+off16),V1
+ LVX (R3+off32),V2
+ LVX (R3+off48),V3
+ LVX (R3+off64),V4
+ LVX (R3+off80),V5
+ LVX (R3+off96),V6
+ LVX (R3+off112),V7
+
+ ADD $128,R3
+
+ VPMSUMW V16,V0,V0
+ VPMSUMW V17,V1,V1
+ VPMSUMW V18,V2,V2
+ VPMSUMW V19,V3,V3
+ VPMSUMW V20,V4,V4
+ VPMSUMW V21,V5,V5
+ VPMSUMW V22,V6,V6
+ VPMSUMW V23,V7,V7
+
+ // now reduce the tail
+
+ CMP $0,R7
+ BEQ next1
+
+ LVX (R4),V16
+ LVX (R3),V17
+ VPMSUMW V16,V17,V16
+ VXOR V0,V16,V0
+ BC 18,0,next1
+
+ LVX (R4+off16),V16
+ LVX (R3+off16),V17
+ VPMSUMW V16,V17,V16
+ VXOR V0,V16,V0
+ BC 18,0,next1
+
+ LVX (R4+off32),V16
+ LVX (R3+off32),V17
+ VPMSUMW V16,V17,V16
+ VXOR V0,V16,V0
+ BC 18,0,next1
+
+ LVX (R4+off48),V16
+ LVX (R3+off48),V17
+ VPMSUMW V16,V17,V16
+ VXOR V0,V16,V0
+ BC 18,0,next1
+
+ LVX (R4+off64),V16
+ LVX (R3+off64),V17
+ VPMSUMW V16,V17,V16
+ VXOR V0,V16,V0
+ BC 18,0,next1
+
+ LVX (R4+off80),V16
+ LVX (R3+off80),V17
+ VPMSUMW V16,V17,V16
+ VXOR V0,V16,V0
+ BC 18,0,next1
+
+ LVX (R4+off96),V16
+ LVX (R3+off96),V17
+ VPMSUMW V16,V17,V16
+ VXOR V0,V16,V0
+
+next1:
+ VXOR V0,V1,V0
+ VXOR V2,V3,V2
+ VXOR V4,V5,V4
+ VXOR V6,V7,V6
+ VXOR V0,V2,V0
+ VXOR V4,V6,V4
+ VXOR V0,V4,V0
+
+barrett_reduction:
+
+ CMP R14,$1
+ BNE barcstTable
+ MOVD $·IEEEBarConst(SB),R3
+ BR startbarConst
+barcstTable:
+ MOVD $·CastBarConst(SB),R3
+
+startbarConst:
+ LVX (R3),const1
+ LVX (R3+off16),const2
+
+ VSLDOI $8,V0,V0,V1
+ VXOR V0,V1,V0
+
+#ifdef REFLECT
+ VSPLTISB $1,V1
+ VSL V0,V1,V0
+#endif
+
+ VAND V0,mask_64bit,V0
+
+#ifndef REFLECT
+
+ VPMSUMD V0,const1,V1
+ VSLDOI $8,zeroes,V1,V1
+ VPMSUMD V1,const2,V1
+ VXOR V0,V1,V0
+ VSLDOI $8,V0,zeroes,V0
+
+#else
+
+ VAND V0,mask_32bit,V1
+ VPMSUMD V1,const1,V1
+ VAND V1,mask_32bit,V1
+ VPMSUMD V1,const2,V1
+ VXOR V0,V1,V0
+ VSLDOI $4,V0,zeroes,V0
+
+#endif
+
+ MFVSRD VS32,R3 // VS32 = V0
+
+ NOR R3,R3,R3 // return ^crc
+ MOVW R3,ret+32(FP)
+ RET
+
+first_warm_up_done:
+
+ LVX (R3),const1
+ ADD $16,R3
+
+ VPMSUMD V16,const1,V8
+ VPMSUMD V17,const1,V9
+ VPMSUMD V18,const1,V10
+ VPMSUMD V19,const1,V11
+ VPMSUMD V20,const1,V12
+ VPMSUMD V21,const1,V13
+ VPMSUMD V22,const1,V14
+ VPMSUMD V23,const1,V15
+
+ BR second_cool_down
+
+short:
+ CMP $0,R5
+ BEQ zero
+
+ // compute short constants
+
+ CMP R14,$1
+ BNE castshTable
+ MOVD $·IEEEConst(SB),R3
+ ADD $4080,R3
+ BR startshConst
+castshTable:
+ MOVD $·CastConst(SB),R3
+ ADD $4080,R3
+
+startshConst:
+ SUBC R5,$256,R6 // sub from 256
+ ADD R3,R6,R3
+
+ // calculate where to start
+
+ SRD $4,R5,R7
+ MOVD R7,CTR
+
+ VXOR V19,V19,V19
+ VXOR V20,V20,V20
+
+ LVX (R4),V0
+ LVX (R3),V16
+ VXOR V0,V8,V0
+ VPMSUMW V0,V16,V0
+ BC 18,0,v0
+
+ LVX (R4+off16),V1
+ LVX (R3+off16),V17
+ VPMSUMW V1,V17,V1
+ BC 18,0,v1
+
+ LVX (R4+off32),V2
+ LVX (R3+off32),V16
+ VPMSUMW V2,V16,V2
+ BC 18,0,v2
+
+ LVX (R4+off48),V3
+ LVX (R3+off48),V17
+ VPMSUMW V3,V17,V3
+ BC 18,0,v3
+
+ LVX (R4+off64),V4
+ LVX (R3+off64),V16
+ VPMSUMW V4,V16,V4
+ BC 18,0,v4
+
+ LVX (R4+off80),V5
+ LVX (R3+off80),V17
+ VPMSUMW V5,V17,V5
+ BC 18,0,v5
+
+ LVX (R4+off96),V6
+ LVX (R3+off96),V16
+ VPMSUMW V6,V16,V6
+ BC 18,0,v6
+
+ LVX (R4+off112),V7
+ LVX (R3+off112),V17
+ VPMSUMW V7,V17,V7
+ BC 18,0,v7
+
+ ADD $128,R3
+ ADD $128,R4
+
+ LVX (R4),V8
+ LVX (R3),V16
+ VPMSUMW V8,V16,V8
+ BC 18,0,v8
+
+ LVX (R4+off16),V9
+ LVX (R3+off16),V17
+ VPMSUMW V9,V17,V9
+ BC 18,0,v9
+
+ LVX (R4+off32),V10
+ LVX (R3+off32),V16
+ VPMSUMW V10,V16,V10
+ BC 18,0,v10
+
+ LVX (R4+off48),V11
+ LVX (R3+off48),V17
+ VPMSUMW V11,V17,V11
+ BC 18,0,v11
+
+ LVX (R4+off64),V12
+ LVX (R3+off64),V16
+ VPMSUMW V12,V16,V12
+ BC 18,0,v12
+
+ LVX (R4+off80),V13
+ LVX (R3+off80),V17
+ VPMSUMW V13,V17,V13
+ BC 18,0,v13
+
+ LVX (R4+off96),V14
+ LVX (R3+off96),V16
+ VPMSUMW V14,V16,V14
+ BC 18,0,v14
+
+ LVX (R4+off112),V15
+ LVX (R3+off112),V17
+ VPMSUMW V15,V17,V15
+
+ VXOR V19,V15,V19
+v14: VXOR V20,V14,V20
+v13: VXOR V19,V13,V19
+v12: VXOR V20,V12,V20
+v11: VXOR V19,V11,V19
+v10: VXOR V20,V10,V20
+v9: VXOR V19,V9,V19
+v8: VXOR V20,V8,V20
+v7: VXOR V19,V7,V19
+v6: VXOR V20,V6,V20
+v5: VXOR V19,V5,V19
+v4: VXOR V20,V4,V20
+v3: VXOR V19,V3,V19
+v2: VXOR V20,V2,V20
+v1: VXOR V19,V1,V19
+v0: VXOR V20,V0,V20
+
+ VXOR V19,V20,V0
+
+ BR barrett_reduction
+
+zero:
+ // This case is the original crc, so just return it
+ MOVW R10,ret+32(FP)
+ RET
diff --git a/src/hash/crc32/crc32_s390x.go b/src/hash/crc32/crc32_s390x.go
new file mode 100644
index 0000000..4e50b56
--- /dev/null
+++ b/src/hash/crc32/crc32_s390x.go
@@ -0,0 +1,91 @@
+// Copyright 2016 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package crc32
+
+import "internal/cpu"
+
+const (
+ vxMinLen = 64
+ vxAlignMask = 15 // align to 16 bytes
+)
+
+// hasVX reports whether the machine has the z/Architecture
+// vector facility installed and enabled.
+var hasVX = cpu.S390X.HasVX
+
+// vectorizedCastagnoli implements CRC32 using vector instructions.
+// It is defined in crc32_s390x.s.
+//
+//go:noescape
+func vectorizedCastagnoli(crc uint32, p []byte) uint32
+
+// vectorizedIEEE implements CRC32 using vector instructions.
+// It is defined in crc32_s390x.s.
+//
+//go:noescape
+func vectorizedIEEE(crc uint32, p []byte) uint32
+
+func archAvailableCastagnoli() bool {
+ return hasVX
+}
+
+var archCastagnoliTable8 *slicing8Table
+
+func archInitCastagnoli() {
+ if !hasVX {
+ panic("not available")
+ }
+ // We still use slicing-by-8 for small buffers.
+ archCastagnoliTable8 = slicingMakeTable(Castagnoli)
+}
+
+// archUpdateCastagnoli calculates the checksum of p using
+// vectorizedCastagnoli.
+func archUpdateCastagnoli(crc uint32, p []byte) uint32 {
+ if !hasVX {
+ panic("not available")
+ }
+ // Use vectorized function if data length is above threshold.
+ if len(p) >= vxMinLen {
+ aligned := len(p) & ^vxAlignMask
+ crc = vectorizedCastagnoli(crc, p[:aligned])
+ p = p[aligned:]
+ }
+ if len(p) == 0 {
+ return crc
+ }
+ return slicingUpdate(crc, archCastagnoliTable8, p)
+}
+
+func archAvailableIEEE() bool {
+ return hasVX
+}
+
+var archIeeeTable8 *slicing8Table
+
+func archInitIEEE() {
+ if !hasVX {
+ panic("not available")
+ }
+ // We still use slicing-by-8 for small buffers.
+ archIeeeTable8 = slicingMakeTable(IEEE)
+}
+
+// archUpdateIEEE calculates the checksum of p using vectorizedIEEE.
+func archUpdateIEEE(crc uint32, p []byte) uint32 {
+ if !hasVX {
+ panic("not available")
+ }
+ // Use vectorized function if data length is above threshold.
+ if len(p) >= vxMinLen {
+ aligned := len(p) & ^vxAlignMask
+ crc = vectorizedIEEE(crc, p[:aligned])
+ p = p[aligned:]
+ }
+ if len(p) == 0 {
+ return crc
+ }
+ return slicingUpdate(crc, archIeeeTable8, p)
+}
diff --git a/src/hash/crc32/crc32_s390x.s b/src/hash/crc32/crc32_s390x.s
new file mode 100644
index 0000000..8aabc60
--- /dev/null
+++ b/src/hash/crc32/crc32_s390x.s
@@ -0,0 +1,230 @@
+// Copyright 2016 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+#include "textflag.h"
+
+// Vector register range containing CRC-32 constants
+
+#define CONST_PERM_LE2BE V9
+#define CONST_R2R1 V10
+#define CONST_R4R3 V11
+#define CONST_R5 V12
+#define CONST_RU_POLY V13
+#define CONST_CRC_POLY V14
+
+
+// The CRC-32 constant block contains reduction constants to fold and
+// process particular chunks of the input data stream in parallel.
+//
+// Note that the constant definitions below are extended in order to compute
+// intermediate results with a single VECTOR GALOIS FIELD MULTIPLY instruction.
+// The rightmost doubleword can be 0 to prevent contribution to the result or
+// can be multiplied by 1 to perform an XOR without the need for a separate
+// VECTOR EXCLUSIVE OR instruction.
+//
+// The polynomials used are bit-reflected:
+//
+// IEEE: P'(x) = 0x0edb88320
+// Castagnoli: P'(x) = 0x082f63b78
+
+
+// IEEE polynomial constants
+DATA ·crclecons+0(SB)/8, $0x0F0E0D0C0B0A0908 // LE-to-BE mask
+DATA ·crclecons+8(SB)/8, $0x0706050403020100
+DATA ·crclecons+16(SB)/8, $0x00000001c6e41596 // R2
+DATA ·crclecons+24(SB)/8, $0x0000000154442bd4 // R1
+DATA ·crclecons+32(SB)/8, $0x00000000ccaa009e // R4
+DATA ·crclecons+40(SB)/8, $0x00000001751997d0 // R3
+DATA ·crclecons+48(SB)/8, $0x0000000000000000
+DATA ·crclecons+56(SB)/8, $0x0000000163cd6124 // R5
+DATA ·crclecons+64(SB)/8, $0x0000000000000000
+DATA ·crclecons+72(SB)/8, $0x00000001F7011641 // u'
+DATA ·crclecons+80(SB)/8, $0x0000000000000000
+DATA ·crclecons+88(SB)/8, $0x00000001DB710641 // P'(x) << 1
+
+GLOBL ·crclecons(SB),RODATA, $144
+
+// Castagonli Polynomial constants
+DATA ·crcclecons+0(SB)/8, $0x0F0E0D0C0B0A0908 // LE-to-BE mask
+DATA ·crcclecons+8(SB)/8, $0x0706050403020100
+DATA ·crcclecons+16(SB)/8, $0x000000009e4addf8 // R2
+DATA ·crcclecons+24(SB)/8, $0x00000000740eef02 // R1
+DATA ·crcclecons+32(SB)/8, $0x000000014cd00bd6 // R4
+DATA ·crcclecons+40(SB)/8, $0x00000000f20c0dfe // R3
+DATA ·crcclecons+48(SB)/8, $0x0000000000000000
+DATA ·crcclecons+56(SB)/8, $0x00000000dd45aab8 // R5
+DATA ·crcclecons+64(SB)/8, $0x0000000000000000
+DATA ·crcclecons+72(SB)/8, $0x00000000dea713f1 // u'
+DATA ·crcclecons+80(SB)/8, $0x0000000000000000
+DATA ·crcclecons+88(SB)/8, $0x0000000105ec76f0 // P'(x) << 1
+
+GLOBL ·crcclecons(SB),RODATA, $144
+
+// The CRC-32 function(s) use these calling conventions:
+//
+// Parameters:
+//
+// R2: Initial CRC value, typically ~0; and final CRC (return) value.
+// R3: Input buffer pointer, performance might be improved if the
+// buffer is on a doubleword boundary.
+// R4: Length of the buffer, must be 64 bytes or greater.
+//
+// Register usage:
+//
+// R5: CRC-32 constant pool base pointer.
+// V0: Initial CRC value and intermediate constants and results.
+// V1..V4: Data for CRC computation.
+// V5..V8: Next data chunks that are fetched from the input buffer.
+//
+// V9..V14: CRC-32 constants.
+
+// func vectorizedIEEE(crc uint32, p []byte) uint32
+TEXT ·vectorizedIEEE(SB),NOSPLIT,$0
+ MOVWZ crc+0(FP), R2 // R2 stores the CRC value
+ MOVD p+8(FP), R3 // data pointer
+ MOVD p_len+16(FP), R4 // len(p)
+
+ MOVD $·crclecons(SB), R5
+ BR vectorizedBody<>(SB)
+
+// func vectorizedCastagnoli(crc uint32, p []byte) uint32
+TEXT ·vectorizedCastagnoli(SB),NOSPLIT,$0
+ MOVWZ crc+0(FP), R2 // R2 stores the CRC value
+ MOVD p+8(FP), R3 // data pointer
+ MOVD p_len+16(FP), R4 // len(p)
+
+ // R5: crc-32 constant pool base pointer, constant is used to reduce crc
+ MOVD $·crcclecons(SB), R5
+ BR vectorizedBody<>(SB)
+
+TEXT vectorizedBody<>(SB),NOSPLIT,$0
+ XOR $0xffffffff, R2 // NOTW R2
+ VLM 0(R5), CONST_PERM_LE2BE, CONST_CRC_POLY
+
+ // Load the initial CRC value into the rightmost word of V0
+ VZERO V0
+ VLVGF $3, R2, V0
+
+ // Crash if the input size is less than 64-bytes.
+ CMP R4, $64
+ BLT crash
+
+ // Load a 64-byte data chunk and XOR with CRC
+ VLM 0(R3), V1, V4 // 64-bytes into V1..V4
+
+ // Reflect the data if the CRC operation is in the bit-reflected domain
+ VPERM V1, V1, CONST_PERM_LE2BE, V1
+ VPERM V2, V2, CONST_PERM_LE2BE, V2
+ VPERM V3, V3, CONST_PERM_LE2BE, V3
+ VPERM V4, V4, CONST_PERM_LE2BE, V4
+
+ VX V0, V1, V1 // V1 ^= CRC
+ ADD $64, R3 // BUF = BUF + 64
+ ADD $(-64), R4
+
+ // Check remaining buffer size and jump to proper folding method
+ CMP R4, $64
+ BLT less_than_64bytes
+
+fold_64bytes_loop:
+ // Load the next 64-byte data chunk into V5 to V8
+ VLM 0(R3), V5, V8
+ VPERM V5, V5, CONST_PERM_LE2BE, V5
+ VPERM V6, V6, CONST_PERM_LE2BE, V6
+ VPERM V7, V7, CONST_PERM_LE2BE, V7
+ VPERM V8, V8, CONST_PERM_LE2BE, V8
+
+
+ // Perform a GF(2) multiplication of the doublewords in V1 with
+ // the reduction constants in V0. The intermediate result is
+ // then folded (accumulated) with the next data chunk in V5 and
+ // stored in V1. Repeat this step for the register contents
+ // in V2, V3, and V4 respectively.
+
+ VGFMAG CONST_R2R1, V1, V5, V1
+ VGFMAG CONST_R2R1, V2, V6, V2
+ VGFMAG CONST_R2R1, V3, V7, V3
+ VGFMAG CONST_R2R1, V4, V8 ,V4
+
+ // Adjust buffer pointer and length for next loop
+ ADD $64, R3 // BUF = BUF + 64
+ ADD $(-64), R4 // LEN = LEN - 64
+
+ CMP R4, $64
+ BGE fold_64bytes_loop
+
+less_than_64bytes:
+ // Fold V1 to V4 into a single 128-bit value in V1
+ VGFMAG CONST_R4R3, V1, V2, V1
+ VGFMAG CONST_R4R3, V1, V3, V1
+ VGFMAG CONST_R4R3, V1, V4, V1
+
+ // Check whether to continue with 64-bit folding
+ CMP R4, $16
+ BLT final_fold
+
+fold_16bytes_loop:
+ VL 0(R3), V2 // Load next data chunk
+ VPERM V2, V2, CONST_PERM_LE2BE, V2
+
+ VGFMAG CONST_R4R3, V1, V2, V1 // Fold next data chunk
+
+ // Adjust buffer pointer and size for folding next data chunk
+ ADD $16, R3
+ ADD $-16, R4
+
+ // Process remaining data chunks
+ CMP R4 ,$16
+ BGE fold_16bytes_loop
+
+final_fold:
+ VLEIB $7, $0x40, V9
+ VSRLB V9, CONST_R4R3, V0
+ VLEIG $0, $1, V0
+
+ VGFMG V0, V1, V1
+
+ VLEIB $7, $0x20, V9 // Shift by words
+ VSRLB V9, V1, V2 // Store remaining bits in V2
+ VUPLLF V1, V1 // Split rightmost doubleword
+ VGFMAG CONST_R5, V1, V2, V1 // V1 = (V1 * R5) XOR V2
+
+
+ // The input values to the Barret reduction are the degree-63 polynomial
+ // in V1 (R(x)), degree-32 generator polynomial, and the reduction
+ // constant u. The Barret reduction result is the CRC value of R(x) mod
+ // P(x).
+ //
+ // The Barret reduction algorithm is defined as:
+ //
+ // 1. T1(x) = floor( R(x) / x^32 ) GF2MUL u
+ // 2. T2(x) = floor( T1(x) / x^32 ) GF2MUL P(x)
+ // 3. C(x) = R(x) XOR T2(x) mod x^32
+ //
+ // Note: To compensate the division by x^32, use the vector unpack
+ // instruction to move the leftmost word into the leftmost doubleword
+ // of the vector register. The rightmost doubleword is multiplied
+ // with zero to not contribute to the intermediate results.
+
+
+ // T1(x) = floor( R(x) / x^32 ) GF2MUL u
+ VUPLLF V1, V2
+ VGFMG CONST_RU_POLY, V2, V2
+
+
+ // Compute the GF(2) product of the CRC polynomial in VO with T1(x) in
+ // V2 and XOR the intermediate result, T2(x), with the value in V1.
+ // The final result is in the rightmost word of V2.
+
+ VUPLLF V2, V2
+ VGFMAG CONST_CRC_POLY, V2, V1, V2
+
+done:
+ VLGVF $2, V2, R2
+ XOR $0xffffffff, R2 // NOTW R2
+ MOVWZ R2, ret + 32(FP)
+ RET
+
+crash:
+ MOVD $0, (R0) // input size is less than 64-bytes
diff --git a/src/hash/crc32/crc32_table_ppc64le.s b/src/hash/crc32/crc32_table_ppc64le.s
new file mode 100644
index 0000000..191810f
--- /dev/null
+++ b/src/hash/crc32/crc32_table_ppc64le.s
@@ -0,0 +1,3286 @@
+// autogenerated: do not edit!
+// generated from crc32/gen_const_ppc64le.go
+
+#include "textflag.h"
+
+ /* Reduce 262144 kbits to 1024 bits */
+ /* x^261184 mod p(x), x^261120 mod p(x) */
+DATA ·IEEEConst+0(SB)/8,$0x0000000099ea94a8
+DATA ·IEEEConst+8(SB)/8,$0x00000001651797d2
+
+ /* x^260160 mod p(x), x^260096 mod p(x) */
+DATA ·IEEEConst+16(SB)/8,$0x00000000945a8420
+DATA ·IEEEConst+24(SB)/8,$0x0000000021e0d56c
+
+ /* x^259136 mod p(x), x^259072 mod p(x) */
+DATA ·IEEEConst+32(SB)/8,$0x0000000030762706
+DATA ·IEEEConst+40(SB)/8,$0x000000000f95ecaa
+
+ /* x^258112 mod p(x), x^258048 mod p(x) */
+DATA ·IEEEConst+48(SB)/8,$0x00000001a52fc582
+DATA ·IEEEConst+56(SB)/8,$0x00000001ebd224ac
+
+ /* x^257088 mod p(x), x^257024 mod p(x) */
+DATA ·IEEEConst+64(SB)/8,$0x00000001a4a7167a
+DATA ·IEEEConst+72(SB)/8,$0x000000000ccb97ca
+
+ /* x^256064 mod p(x), x^256000 mod p(x) */
+DATA ·IEEEConst+80(SB)/8,$0x000000000c18249a
+DATA ·IEEEConst+88(SB)/8,$0x00000001006ec8a8
+
+ /* x^255040 mod p(x), x^254976 mod p(x) */
+DATA ·IEEEConst+96(SB)/8,$0x00000000a924ae7c
+DATA ·IEEEConst+104(SB)/8,$0x000000014f58f196
+
+ /* x^254016 mod p(x), x^253952 mod p(x) */
+DATA ·IEEEConst+112(SB)/8,$0x00000001e12ccc12
+DATA ·IEEEConst+120(SB)/8,$0x00000001a7192ca6
+
+ /* x^252992 mod p(x), x^252928 mod p(x) */
+DATA ·IEEEConst+128(SB)/8,$0x00000000a0b9d4ac
+DATA ·IEEEConst+136(SB)/8,$0x000000019a64bab2
+
+ /* x^251968 mod p(x), x^251904 mod p(x) */
+DATA ·IEEEConst+144(SB)/8,$0x0000000095e8ddfe
+DATA ·IEEEConst+152(SB)/8,$0x0000000014f4ed2e
+
+ /* x^250944 mod p(x), x^250880 mod p(x) */
+DATA ·IEEEConst+160(SB)/8,$0x00000000233fddc4
+DATA ·IEEEConst+168(SB)/8,$0x000000011092b6a2
+
+ /* x^249920 mod p(x), x^249856 mod p(x) */
+DATA ·IEEEConst+176(SB)/8,$0x00000001b4529b62
+DATA ·IEEEConst+184(SB)/8,$0x00000000c8a1629c
+
+ /* x^248896 mod p(x), x^248832 mod p(x) */
+DATA ·IEEEConst+192(SB)/8,$0x00000001a7fa0e64
+DATA ·IEEEConst+200(SB)/8,$0x000000017bf32e8e
+
+ /* x^247872 mod p(x), x^247808 mod p(x) */
+DATA ·IEEEConst+208(SB)/8,$0x00000001b5334592
+DATA ·IEEEConst+216(SB)/8,$0x00000001f8cc6582
+
+ /* x^246848 mod p(x), x^246784 mod p(x) */
+DATA ·IEEEConst+224(SB)/8,$0x000000011f8ee1b4
+DATA ·IEEEConst+232(SB)/8,$0x000000008631ddf0
+
+ /* x^245824 mod p(x), x^245760 mod p(x) */
+DATA ·IEEEConst+240(SB)/8,$0x000000006252e632
+DATA ·IEEEConst+248(SB)/8,$0x000000007e5a76d0
+
+ /* x^244800 mod p(x), x^244736 mod p(x) */
+DATA ·IEEEConst+256(SB)/8,$0x00000000ab973e84
+DATA ·IEEEConst+264(SB)/8,$0x000000002b09b31c
+
+ /* x^243776 mod p(x), x^243712 mod p(x) */
+DATA ·IEEEConst+272(SB)/8,$0x000000007734f5ec
+DATA ·IEEEConst+280(SB)/8,$0x00000001b2df1f84
+
+ /* x^242752 mod p(x), x^242688 mod p(x) */
+DATA ·IEEEConst+288(SB)/8,$0x000000007c547798
+DATA ·IEEEConst+296(SB)/8,$0x00000001d6f56afc
+
+ /* x^241728 mod p(x), x^241664 mod p(x) */
+DATA ·IEEEConst+304(SB)/8,$0x000000007ec40210
+DATA ·IEEEConst+312(SB)/8,$0x00000001b9b5e70c
+
+ /* x^240704 mod p(x), x^240640 mod p(x) */
+DATA ·IEEEConst+320(SB)/8,$0x00000001ab1695a8
+DATA ·IEEEConst+328(SB)/8,$0x0000000034b626d2
+
+ /* x^239680 mod p(x), x^239616 mod p(x) */
+DATA ·IEEEConst+336(SB)/8,$0x0000000090494bba
+DATA ·IEEEConst+344(SB)/8,$0x000000014c53479a
+
+ /* x^238656 mod p(x), x^238592 mod p(x) */
+DATA ·IEEEConst+352(SB)/8,$0x00000001123fb816
+DATA ·IEEEConst+360(SB)/8,$0x00000001a6d179a4
+
+ /* x^237632 mod p(x), x^237568 mod p(x) */
+DATA ·IEEEConst+368(SB)/8,$0x00000001e188c74c
+DATA ·IEEEConst+376(SB)/8,$0x000000015abd16b4
+
+ /* x^236608 mod p(x), x^236544 mod p(x) */
+DATA ·IEEEConst+384(SB)/8,$0x00000001c2d3451c
+DATA ·IEEEConst+392(SB)/8,$0x00000000018f9852
+
+ /* x^235584 mod p(x), x^235520 mod p(x) */
+DATA ·IEEEConst+400(SB)/8,$0x00000000f55cf1ca
+DATA ·IEEEConst+408(SB)/8,$0x000000001fb3084a
+
+ /* x^234560 mod p(x), x^234496 mod p(x) */
+DATA ·IEEEConst+416(SB)/8,$0x00000001a0531540
+DATA ·IEEEConst+424(SB)/8,$0x00000000c53dfb04
+
+ /* x^233536 mod p(x), x^233472 mod p(x) */
+DATA ·IEEEConst+432(SB)/8,$0x0000000132cd7ebc
+DATA ·IEEEConst+440(SB)/8,$0x00000000e10c9ad6
+
+ /* x^232512 mod p(x), x^232448 mod p(x) */
+DATA ·IEEEConst+448(SB)/8,$0x0000000073ab7f36
+DATA ·IEEEConst+456(SB)/8,$0x0000000025aa994a
+
+ /* x^231488 mod p(x), x^231424 mod p(x) */
+DATA ·IEEEConst+464(SB)/8,$0x0000000041aed1c2
+DATA ·IEEEConst+472(SB)/8,$0x00000000fa3a74c4
+
+ /* x^230464 mod p(x), x^230400 mod p(x) */
+DATA ·IEEEConst+480(SB)/8,$0x0000000136c53800
+DATA ·IEEEConst+488(SB)/8,$0x0000000033eb3f40
+
+ /* x^229440 mod p(x), x^229376 mod p(x) */
+DATA ·IEEEConst+496(SB)/8,$0x0000000126835a30
+DATA ·IEEEConst+504(SB)/8,$0x000000017193f296
+
+ /* x^228416 mod p(x), x^228352 mod p(x) */
+DATA ·IEEEConst+512(SB)/8,$0x000000006241b502
+DATA ·IEEEConst+520(SB)/8,$0x0000000043f6c86a
+
+ /* x^227392 mod p(x), x^227328 mod p(x) */
+DATA ·IEEEConst+528(SB)/8,$0x00000000d5196ad4
+DATA ·IEEEConst+536(SB)/8,$0x000000016b513ec6
+
+ /* x^226368 mod p(x), x^226304 mod p(x) */
+DATA ·IEEEConst+544(SB)/8,$0x000000009cfa769a
+DATA ·IEEEConst+552(SB)/8,$0x00000000c8f25b4e
+
+ /* x^225344 mod p(x), x^225280 mod p(x) */
+DATA ·IEEEConst+560(SB)/8,$0x00000000920e5df4
+DATA ·IEEEConst+568(SB)/8,$0x00000001a45048ec
+
+ /* x^224320 mod p(x), x^224256 mod p(x) */
+DATA ·IEEEConst+576(SB)/8,$0x0000000169dc310e
+DATA ·IEEEConst+584(SB)/8,$0x000000000c441004
+
+ /* x^223296 mod p(x), x^223232 mod p(x) */
+DATA ·IEEEConst+592(SB)/8,$0x0000000009fc331c
+DATA ·IEEEConst+600(SB)/8,$0x000000000e17cad6
+
+ /* x^222272 mod p(x), x^222208 mod p(x) */
+DATA ·IEEEConst+608(SB)/8,$0x000000010d94a81e
+DATA ·IEEEConst+616(SB)/8,$0x00000001253ae964
+
+ /* x^221248 mod p(x), x^221184 mod p(x) */
+DATA ·IEEEConst+624(SB)/8,$0x0000000027a20ab2
+DATA ·IEEEConst+632(SB)/8,$0x00000001d7c88ebc
+
+ /* x^220224 mod p(x), x^220160 mod p(x) */
+DATA ·IEEEConst+640(SB)/8,$0x0000000114f87504
+DATA ·IEEEConst+648(SB)/8,$0x00000001e7ca913a
+
+ /* x^219200 mod p(x), x^219136 mod p(x) */
+DATA ·IEEEConst+656(SB)/8,$0x000000004b076d96
+DATA ·IEEEConst+664(SB)/8,$0x0000000033ed078a
+
+ /* x^218176 mod p(x), x^218112 mod p(x) */
+DATA ·IEEEConst+672(SB)/8,$0x00000000da4d1e74
+DATA ·IEEEConst+680(SB)/8,$0x00000000e1839c78
+
+ /* x^217152 mod p(x), x^217088 mod p(x) */
+DATA ·IEEEConst+688(SB)/8,$0x000000001b81f672
+DATA ·IEEEConst+696(SB)/8,$0x00000001322b267e
+
+ /* x^216128 mod p(x), x^216064 mod p(x) */
+DATA ·IEEEConst+704(SB)/8,$0x000000009367c988
+DATA ·IEEEConst+712(SB)/8,$0x00000000638231b6
+
+ /* x^215104 mod p(x), x^215040 mod p(x) */
+DATA ·IEEEConst+720(SB)/8,$0x00000001717214ca
+DATA ·IEEEConst+728(SB)/8,$0x00000001ee7f16f4
+
+ /* x^214080 mod p(x), x^214016 mod p(x) */
+DATA ·IEEEConst+736(SB)/8,$0x000000009f47d820
+DATA ·IEEEConst+744(SB)/8,$0x0000000117d9924a
+
+ /* x^213056 mod p(x), x^212992 mod p(x) */
+DATA ·IEEEConst+752(SB)/8,$0x000000010d9a47d2
+DATA ·IEEEConst+760(SB)/8,$0x00000000e1a9e0c4
+
+ /* x^212032 mod p(x), x^211968 mod p(x) */
+DATA ·IEEEConst+768(SB)/8,$0x00000000a696c58c
+DATA ·IEEEConst+776(SB)/8,$0x00000001403731dc
+
+ /* x^211008 mod p(x), x^210944 mod p(x) */
+DATA ·IEEEConst+784(SB)/8,$0x000000002aa28ec6
+DATA ·IEEEConst+792(SB)/8,$0x00000001a5ea9682
+
+ /* x^209984 mod p(x), x^209920 mod p(x) */
+DATA ·IEEEConst+800(SB)/8,$0x00000001fe18fd9a
+DATA ·IEEEConst+808(SB)/8,$0x0000000101c5c578
+
+ /* x^208960 mod p(x), x^208896 mod p(x) */
+DATA ·IEEEConst+816(SB)/8,$0x000000019d4fc1ae
+DATA ·IEEEConst+824(SB)/8,$0x00000000dddf6494
+
+ /* x^207936 mod p(x), x^207872 mod p(x) */
+DATA ·IEEEConst+832(SB)/8,$0x00000001ba0e3dea
+DATA ·IEEEConst+840(SB)/8,$0x00000000f1c3db28
+
+ /* x^206912 mod p(x), x^206848 mod p(x) */
+DATA ·IEEEConst+848(SB)/8,$0x0000000074b59a5e
+DATA ·IEEEConst+856(SB)/8,$0x000000013112fb9c
+
+ /* x^205888 mod p(x), x^205824 mod p(x) */
+DATA ·IEEEConst+864(SB)/8,$0x00000000f2b5ea98
+DATA ·IEEEConst+872(SB)/8,$0x00000000b680b906
+
+ /* x^204864 mod p(x), x^204800 mod p(x) */
+DATA ·IEEEConst+880(SB)/8,$0x0000000187132676
+DATA ·IEEEConst+888(SB)/8,$0x000000001a282932
+
+ /* x^203840 mod p(x), x^203776 mod p(x) */
+DATA ·IEEEConst+896(SB)/8,$0x000000010a8c6ad4
+DATA ·IEEEConst+904(SB)/8,$0x0000000089406e7e
+
+ /* x^202816 mod p(x), x^202752 mod p(x) */
+DATA ·IEEEConst+912(SB)/8,$0x00000001e21dfe70
+DATA ·IEEEConst+920(SB)/8,$0x00000001def6be8c
+
+ /* x^201792 mod p(x), x^201728 mod p(x) */
+DATA ·IEEEConst+928(SB)/8,$0x00000001da0050e4
+DATA ·IEEEConst+936(SB)/8,$0x0000000075258728
+
+ /* x^200768 mod p(x), x^200704 mod p(x) */
+DATA ·IEEEConst+944(SB)/8,$0x00000000772172ae
+DATA ·IEEEConst+952(SB)/8,$0x000000019536090a
+
+ /* x^199744 mod p(x), x^199680 mod p(x) */
+DATA ·IEEEConst+960(SB)/8,$0x00000000e47724aa
+DATA ·IEEEConst+968(SB)/8,$0x00000000f2455bfc
+
+ /* x^198720 mod p(x), x^198656 mod p(x) */
+DATA ·IEEEConst+976(SB)/8,$0x000000003cd63ac4
+DATA ·IEEEConst+984(SB)/8,$0x000000018c40baf4
+
+ /* x^197696 mod p(x), x^197632 mod p(x) */
+DATA ·IEEEConst+992(SB)/8,$0x00000001bf47d352
+DATA ·IEEEConst+1000(SB)/8,$0x000000004cd390d4
+
+ /* x^196672 mod p(x), x^196608 mod p(x) */
+DATA ·IEEEConst+1008(SB)/8,$0x000000018dc1d708
+DATA ·IEEEConst+1016(SB)/8,$0x00000001e4ece95a
+
+ /* x^195648 mod p(x), x^195584 mod p(x) */
+DATA ·IEEEConst+1024(SB)/8,$0x000000002d4620a4
+DATA ·IEEEConst+1032(SB)/8,$0x000000001a3ee918
+
+ /* x^194624 mod p(x), x^194560 mod p(x) */
+DATA ·IEEEConst+1040(SB)/8,$0x0000000058fd1740
+DATA ·IEEEConst+1048(SB)/8,$0x000000007c652fb8
+
+ /* x^193600 mod p(x), x^193536 mod p(x) */
+DATA ·IEEEConst+1056(SB)/8,$0x00000000dadd9bfc
+DATA ·IEEEConst+1064(SB)/8,$0x000000011c67842c
+
+ /* x^192576 mod p(x), x^192512 mod p(x) */
+DATA ·IEEEConst+1072(SB)/8,$0x00000001ea2140be
+DATA ·IEEEConst+1080(SB)/8,$0x00000000254f759c
+
+ /* x^191552 mod p(x), x^191488 mod p(x) */
+DATA ·IEEEConst+1088(SB)/8,$0x000000009de128ba
+DATA ·IEEEConst+1096(SB)/8,$0x000000007ece94ca
+
+ /* x^190528 mod p(x), x^190464 mod p(x) */
+DATA ·IEEEConst+1104(SB)/8,$0x000000013ac3aa8e
+DATA ·IEEEConst+1112(SB)/8,$0x0000000038f258c2
+
+ /* x^189504 mod p(x), x^189440 mod p(x) */
+DATA ·IEEEConst+1120(SB)/8,$0x0000000099980562
+DATA ·IEEEConst+1128(SB)/8,$0x00000001cdf17b00
+
+ /* x^188480 mod p(x), x^188416 mod p(x) */
+DATA ·IEEEConst+1136(SB)/8,$0x00000001c1579c86
+DATA ·IEEEConst+1144(SB)/8,$0x000000011f882c16
+
+ /* x^187456 mod p(x), x^187392 mod p(x) */
+DATA ·IEEEConst+1152(SB)/8,$0x0000000068dbbf94
+DATA ·IEEEConst+1160(SB)/8,$0x0000000100093fc8
+
+ /* x^186432 mod p(x), x^186368 mod p(x) */
+DATA ·IEEEConst+1168(SB)/8,$0x000000004509fb04
+DATA ·IEEEConst+1176(SB)/8,$0x00000001cd684f16
+
+ /* x^185408 mod p(x), x^185344 mod p(x) */
+DATA ·IEEEConst+1184(SB)/8,$0x00000001202f6398
+DATA ·IEEEConst+1192(SB)/8,$0x000000004bc6a70a
+
+ /* x^184384 mod p(x), x^184320 mod p(x) */
+DATA ·IEEEConst+1200(SB)/8,$0x000000013aea243e
+DATA ·IEEEConst+1208(SB)/8,$0x000000004fc7e8e4
+
+ /* x^183360 mod p(x), x^183296 mod p(x) */
+DATA ·IEEEConst+1216(SB)/8,$0x00000001b4052ae6
+DATA ·IEEEConst+1224(SB)/8,$0x0000000130103f1c
+
+ /* x^182336 mod p(x), x^182272 mod p(x) */
+DATA ·IEEEConst+1232(SB)/8,$0x00000001cd2a0ae8
+DATA ·IEEEConst+1240(SB)/8,$0x0000000111b0024c
+
+ /* x^181312 mod p(x), x^181248 mod p(x) */
+DATA ·IEEEConst+1248(SB)/8,$0x00000001fe4aa8b4
+DATA ·IEEEConst+1256(SB)/8,$0x000000010b3079da
+
+ /* x^180288 mod p(x), x^180224 mod p(x) */
+DATA ·IEEEConst+1264(SB)/8,$0x00000001d1559a42
+DATA ·IEEEConst+1272(SB)/8,$0x000000010192bcc2
+
+ /* x^179264 mod p(x), x^179200 mod p(x) */
+DATA ·IEEEConst+1280(SB)/8,$0x00000001f3e05ecc
+DATA ·IEEEConst+1288(SB)/8,$0x0000000074838d50
+
+ /* x^178240 mod p(x), x^178176 mod p(x) */
+DATA ·IEEEConst+1296(SB)/8,$0x0000000104ddd2cc
+DATA ·IEEEConst+1304(SB)/8,$0x000000001b20f520
+
+ /* x^177216 mod p(x), x^177152 mod p(x) */
+DATA ·IEEEConst+1312(SB)/8,$0x000000015393153c
+DATA ·IEEEConst+1320(SB)/8,$0x0000000050c3590a
+
+ /* x^176192 mod p(x), x^176128 mod p(x) */
+DATA ·IEEEConst+1328(SB)/8,$0x0000000057e942c6
+DATA ·IEEEConst+1336(SB)/8,$0x00000000b41cac8e
+
+ /* x^175168 mod p(x), x^175104 mod p(x) */
+DATA ·IEEEConst+1344(SB)/8,$0x000000012c633850
+DATA ·IEEEConst+1352(SB)/8,$0x000000000c72cc78
+
+ /* x^174144 mod p(x), x^174080 mod p(x) */
+DATA ·IEEEConst+1360(SB)/8,$0x00000000ebcaae4c
+DATA ·IEEEConst+1368(SB)/8,$0x0000000030cdb032
+
+ /* x^173120 mod p(x), x^173056 mod p(x) */
+DATA ·IEEEConst+1376(SB)/8,$0x000000013ee532a6
+DATA ·IEEEConst+1384(SB)/8,$0x000000013e09fc32
+
+ /* x^172096 mod p(x), x^172032 mod p(x) */
+DATA ·IEEEConst+1392(SB)/8,$0x00000001bf0cbc7e
+DATA ·IEEEConst+1400(SB)/8,$0x000000001ed624d2
+
+ /* x^171072 mod p(x), x^171008 mod p(x) */
+DATA ·IEEEConst+1408(SB)/8,$0x00000000d50b7a5a
+DATA ·IEEEConst+1416(SB)/8,$0x00000000781aee1a
+
+ /* x^170048 mod p(x), x^169984 mod p(x) */
+DATA ·IEEEConst+1424(SB)/8,$0x0000000002fca6e8
+DATA ·IEEEConst+1432(SB)/8,$0x00000001c4d8348c
+
+ /* x^169024 mod p(x), x^168960 mod p(x) */
+DATA ·IEEEConst+1440(SB)/8,$0x000000007af40044
+DATA ·IEEEConst+1448(SB)/8,$0x0000000057a40336
+
+ /* x^168000 mod p(x), x^167936 mod p(x) */
+DATA ·IEEEConst+1456(SB)/8,$0x0000000016178744
+DATA ·IEEEConst+1464(SB)/8,$0x0000000085544940
+
+ /* x^166976 mod p(x), x^166912 mod p(x) */
+DATA ·IEEEConst+1472(SB)/8,$0x000000014c177458
+DATA ·IEEEConst+1480(SB)/8,$0x000000019cd21e80
+
+ /* x^165952 mod p(x), x^165888 mod p(x) */
+DATA ·IEEEConst+1488(SB)/8,$0x000000011b6ddf04
+DATA ·IEEEConst+1496(SB)/8,$0x000000013eb95bc0
+
+ /* x^164928 mod p(x), x^164864 mod p(x) */
+DATA ·IEEEConst+1504(SB)/8,$0x00000001f3e29ccc
+DATA ·IEEEConst+1512(SB)/8,$0x00000001dfc9fdfc
+
+ /* x^163904 mod p(x), x^163840 mod p(x) */
+DATA ·IEEEConst+1520(SB)/8,$0x0000000135ae7562
+DATA ·IEEEConst+1528(SB)/8,$0x00000000cd028bc2
+
+ /* x^162880 mod p(x), x^162816 mod p(x) */
+DATA ·IEEEConst+1536(SB)/8,$0x0000000190ef812c
+DATA ·IEEEConst+1544(SB)/8,$0x0000000090db8c44
+
+ /* x^161856 mod p(x), x^161792 mod p(x) */
+DATA ·IEEEConst+1552(SB)/8,$0x0000000067a2c786
+DATA ·IEEEConst+1560(SB)/8,$0x000000010010a4ce
+
+ /* x^160832 mod p(x), x^160768 mod p(x) */
+DATA ·IEEEConst+1568(SB)/8,$0x0000000048b9496c
+DATA ·IEEEConst+1576(SB)/8,$0x00000001c8f4c72c
+
+ /* x^159808 mod p(x), x^159744 mod p(x) */
+DATA ·IEEEConst+1584(SB)/8,$0x000000015a422de6
+DATA ·IEEEConst+1592(SB)/8,$0x000000001c26170c
+
+ /* x^158784 mod p(x), x^158720 mod p(x) */
+DATA ·IEEEConst+1600(SB)/8,$0x00000001ef0e3640
+DATA ·IEEEConst+1608(SB)/8,$0x00000000e3fccf68
+
+ /* x^157760 mod p(x), x^157696 mod p(x) */
+DATA ·IEEEConst+1616(SB)/8,$0x00000001006d2d26
+DATA ·IEEEConst+1624(SB)/8,$0x00000000d513ed24
+
+ /* x^156736 mod p(x), x^156672 mod p(x) */
+DATA ·IEEEConst+1632(SB)/8,$0x00000001170d56d6
+DATA ·IEEEConst+1640(SB)/8,$0x00000000141beada
+
+ /* x^155712 mod p(x), x^155648 mod p(x) */
+DATA ·IEEEConst+1648(SB)/8,$0x00000000a5fb613c
+DATA ·IEEEConst+1656(SB)/8,$0x000000011071aea0
+
+ /* x^154688 mod p(x), x^154624 mod p(x) */
+DATA ·IEEEConst+1664(SB)/8,$0x0000000040bbf7fc
+DATA ·IEEEConst+1672(SB)/8,$0x000000012e19080a
+
+ /* x^153664 mod p(x), x^153600 mod p(x) */
+DATA ·IEEEConst+1680(SB)/8,$0x000000016ac3a5b2
+DATA ·IEEEConst+1688(SB)/8,$0x0000000100ecf826
+
+ /* x^152640 mod p(x), x^152576 mod p(x) */
+DATA ·IEEEConst+1696(SB)/8,$0x00000000abf16230
+DATA ·IEEEConst+1704(SB)/8,$0x0000000069b09412
+
+ /* x^151616 mod p(x), x^151552 mod p(x) */
+DATA ·IEEEConst+1712(SB)/8,$0x00000001ebe23fac
+DATA ·IEEEConst+1720(SB)/8,$0x0000000122297bac
+
+ /* x^150592 mod p(x), x^150528 mod p(x) */
+DATA ·IEEEConst+1728(SB)/8,$0x000000008b6a0894
+DATA ·IEEEConst+1736(SB)/8,$0x00000000e9e4b068
+
+ /* x^149568 mod p(x), x^149504 mod p(x) */
+DATA ·IEEEConst+1744(SB)/8,$0x00000001288ea478
+DATA ·IEEEConst+1752(SB)/8,$0x000000004b38651a
+
+ /* x^148544 mod p(x), x^148480 mod p(x) */
+DATA ·IEEEConst+1760(SB)/8,$0x000000016619c442
+DATA ·IEEEConst+1768(SB)/8,$0x00000001468360e2
+
+ /* x^147520 mod p(x), x^147456 mod p(x) */
+DATA ·IEEEConst+1776(SB)/8,$0x0000000086230038
+DATA ·IEEEConst+1784(SB)/8,$0x00000000121c2408
+
+ /* x^146496 mod p(x), x^146432 mod p(x) */
+DATA ·IEEEConst+1792(SB)/8,$0x000000017746a756
+DATA ·IEEEConst+1800(SB)/8,$0x00000000da7e7d08
+
+ /* x^145472 mod p(x), x^145408 mod p(x) */
+DATA ·IEEEConst+1808(SB)/8,$0x0000000191b8f8f8
+DATA ·IEEEConst+1816(SB)/8,$0x00000001058d7652
+
+ /* x^144448 mod p(x), x^144384 mod p(x) */
+DATA ·IEEEConst+1824(SB)/8,$0x000000008e167708
+DATA ·IEEEConst+1832(SB)/8,$0x000000014a098a90
+
+ /* x^143424 mod p(x), x^143360 mod p(x) */
+DATA ·IEEEConst+1840(SB)/8,$0x0000000148b22d54
+DATA ·IEEEConst+1848(SB)/8,$0x0000000020dbe72e
+
+ /* x^142400 mod p(x), x^142336 mod p(x) */
+DATA ·IEEEConst+1856(SB)/8,$0x0000000044ba2c3c
+DATA ·IEEEConst+1864(SB)/8,$0x000000011e7323e8
+
+ /* x^141376 mod p(x), x^141312 mod p(x) */
+DATA ·IEEEConst+1872(SB)/8,$0x00000000b54d2b52
+DATA ·IEEEConst+1880(SB)/8,$0x00000000d5d4bf94
+
+ /* x^140352 mod p(x), x^140288 mod p(x) */
+DATA ·IEEEConst+1888(SB)/8,$0x0000000005a4fd8a
+DATA ·IEEEConst+1896(SB)/8,$0x0000000199d8746c
+
+ /* x^139328 mod p(x), x^139264 mod p(x) */
+DATA ·IEEEConst+1904(SB)/8,$0x0000000139f9fc46
+DATA ·IEEEConst+1912(SB)/8,$0x00000000ce9ca8a0
+
+ /* x^138304 mod p(x), x^138240 mod p(x) */
+DATA ·IEEEConst+1920(SB)/8,$0x000000015a1fa824
+DATA ·IEEEConst+1928(SB)/8,$0x00000000136edece
+
+ /* x^137280 mod p(x), x^137216 mod p(x) */
+DATA ·IEEEConst+1936(SB)/8,$0x000000000a61ae4c
+DATA ·IEEEConst+1944(SB)/8,$0x000000019b92a068
+
+ /* x^136256 mod p(x), x^136192 mod p(x) */
+DATA ·IEEEConst+1952(SB)/8,$0x0000000145e9113e
+DATA ·IEEEConst+1960(SB)/8,$0x0000000071d62206
+
+ /* x^135232 mod p(x), x^135168 mod p(x) */
+DATA ·IEEEConst+1968(SB)/8,$0x000000006a348448
+DATA ·IEEEConst+1976(SB)/8,$0x00000000dfc50158
+
+ /* x^134208 mod p(x), x^134144 mod p(x) */
+DATA ·IEEEConst+1984(SB)/8,$0x000000004d80a08c
+DATA ·IEEEConst+1992(SB)/8,$0x00000001517626bc
+
+ /* x^133184 mod p(x), x^133120 mod p(x) */
+DATA ·IEEEConst+2000(SB)/8,$0x000000014b6837a0
+DATA ·IEEEConst+2008(SB)/8,$0x0000000148d1e4fa
+
+ /* x^132160 mod p(x), x^132096 mod p(x) */
+DATA ·IEEEConst+2016(SB)/8,$0x000000016896a7fc
+DATA ·IEEEConst+2024(SB)/8,$0x0000000094d8266e
+
+ /* x^131136 mod p(x), x^131072 mod p(x) */
+DATA ·IEEEConst+2032(SB)/8,$0x000000014f187140
+DATA ·IEEEConst+2040(SB)/8,$0x00000000606c5e34
+
+ /* x^130112 mod p(x), x^130048 mod p(x) */
+DATA ·IEEEConst+2048(SB)/8,$0x000000019581b9da
+DATA ·IEEEConst+2056(SB)/8,$0x000000019766beaa
+
+ /* x^129088 mod p(x), x^129024 mod p(x) */
+DATA ·IEEEConst+2064(SB)/8,$0x00000001091bc984
+DATA ·IEEEConst+2072(SB)/8,$0x00000001d80c506c
+
+ /* x^128064 mod p(x), x^128000 mod p(x) */
+DATA ·IEEEConst+2080(SB)/8,$0x000000001067223c
+DATA ·IEEEConst+2088(SB)/8,$0x000000001e73837c
+
+ /* x^127040 mod p(x), x^126976 mod p(x) */
+DATA ·IEEEConst+2096(SB)/8,$0x00000001ab16ea02
+DATA ·IEEEConst+2104(SB)/8,$0x0000000064d587de
+
+ /* x^126016 mod p(x), x^125952 mod p(x) */
+DATA ·IEEEConst+2112(SB)/8,$0x000000013c4598a8
+DATA ·IEEEConst+2120(SB)/8,$0x00000000f4a507b0
+
+ /* x^124992 mod p(x), x^124928 mod p(x) */
+DATA ·IEEEConst+2128(SB)/8,$0x00000000b3735430
+DATA ·IEEEConst+2136(SB)/8,$0x0000000040e342fc
+
+ /* x^123968 mod p(x), x^123904 mod p(x) */
+DATA ·IEEEConst+2144(SB)/8,$0x00000001bb3fc0c0
+DATA ·IEEEConst+2152(SB)/8,$0x00000001d5ad9c3a
+
+ /* x^122944 mod p(x), x^122880 mod p(x) */
+DATA ·IEEEConst+2160(SB)/8,$0x00000001570ae19c
+DATA ·IEEEConst+2168(SB)/8,$0x0000000094a691a4
+
+ /* x^121920 mod p(x), x^121856 mod p(x) */
+DATA ·IEEEConst+2176(SB)/8,$0x00000001ea910712
+DATA ·IEEEConst+2184(SB)/8,$0x00000001271ecdfa
+
+ /* x^120896 mod p(x), x^120832 mod p(x) */
+DATA ·IEEEConst+2192(SB)/8,$0x0000000167127128
+DATA ·IEEEConst+2200(SB)/8,$0x000000009e54475a
+
+ /* x^119872 mod p(x), x^119808 mod p(x) */
+DATA ·IEEEConst+2208(SB)/8,$0x0000000019e790a2
+DATA ·IEEEConst+2216(SB)/8,$0x00000000c9c099ee
+
+ /* x^118848 mod p(x), x^118784 mod p(x) */
+DATA ·IEEEConst+2224(SB)/8,$0x000000003788f710
+DATA ·IEEEConst+2232(SB)/8,$0x000000009a2f736c
+
+ /* x^117824 mod p(x), x^117760 mod p(x) */
+DATA ·IEEEConst+2240(SB)/8,$0x00000001682a160e
+DATA ·IEEEConst+2248(SB)/8,$0x00000000bb9f4996
+
+ /* x^116800 mod p(x), x^116736 mod p(x) */
+DATA ·IEEEConst+2256(SB)/8,$0x000000007f0ebd2e
+DATA ·IEEEConst+2264(SB)/8,$0x00000001db688050
+
+ /* x^115776 mod p(x), x^115712 mod p(x) */
+DATA ·IEEEConst+2272(SB)/8,$0x000000002b032080
+DATA ·IEEEConst+2280(SB)/8,$0x00000000e9b10af4
+
+ /* x^114752 mod p(x), x^114688 mod p(x) */
+DATA ·IEEEConst+2288(SB)/8,$0x00000000cfd1664a
+DATA ·IEEEConst+2296(SB)/8,$0x000000012d4545e4
+
+ /* x^113728 mod p(x), x^113664 mod p(x) */
+DATA ·IEEEConst+2304(SB)/8,$0x00000000aa1181c2
+DATA ·IEEEConst+2312(SB)/8,$0x000000000361139c
+
+ /* x^112704 mod p(x), x^112640 mod p(x) */
+DATA ·IEEEConst+2320(SB)/8,$0x00000000ddd08002
+DATA ·IEEEConst+2328(SB)/8,$0x00000001a5a1a3a8
+
+ /* x^111680 mod p(x), x^111616 mod p(x) */
+DATA ·IEEEConst+2336(SB)/8,$0x00000000e8dd0446
+DATA ·IEEEConst+2344(SB)/8,$0x000000006844e0b0
+
+ /* x^110656 mod p(x), x^110592 mod p(x) */
+DATA ·IEEEConst+2352(SB)/8,$0x00000001bbd94a00
+DATA ·IEEEConst+2360(SB)/8,$0x00000000c3762f28
+
+ /* x^109632 mod p(x), x^109568 mod p(x) */
+DATA ·IEEEConst+2368(SB)/8,$0x00000000ab6cd180
+DATA ·IEEEConst+2376(SB)/8,$0x00000001d26287a2
+
+ /* x^108608 mod p(x), x^108544 mod p(x) */
+DATA ·IEEEConst+2384(SB)/8,$0x0000000031803ce2
+DATA ·IEEEConst+2392(SB)/8,$0x00000001f6f0bba8
+
+ /* x^107584 mod p(x), x^107520 mod p(x) */
+DATA ·IEEEConst+2400(SB)/8,$0x0000000024f40b0c
+DATA ·IEEEConst+2408(SB)/8,$0x000000002ffabd62
+
+ /* x^106560 mod p(x), x^106496 mod p(x) */
+DATA ·IEEEConst+2416(SB)/8,$0x00000001ba1d9834
+DATA ·IEEEConst+2424(SB)/8,$0x00000000fb4516b8
+
+ /* x^105536 mod p(x), x^105472 mod p(x) */
+DATA ·IEEEConst+2432(SB)/8,$0x0000000104de61aa
+DATA ·IEEEConst+2440(SB)/8,$0x000000018cfa961c
+
+ /* x^104512 mod p(x), x^104448 mod p(x) */
+DATA ·IEEEConst+2448(SB)/8,$0x0000000113e40d46
+DATA ·IEEEConst+2456(SB)/8,$0x000000019e588d52
+
+ /* x^103488 mod p(x), x^103424 mod p(x) */
+DATA ·IEEEConst+2464(SB)/8,$0x00000001415598a0
+DATA ·IEEEConst+2472(SB)/8,$0x00000001180f0bbc
+
+ /* x^102464 mod p(x), x^102400 mod p(x) */
+DATA ·IEEEConst+2480(SB)/8,$0x00000000bf6c8c90
+DATA ·IEEEConst+2488(SB)/8,$0x00000000e1d9177a
+
+ /* x^101440 mod p(x), x^101376 mod p(x) */
+DATA ·IEEEConst+2496(SB)/8,$0x00000001788b0504
+DATA ·IEEEConst+2504(SB)/8,$0x0000000105abc27c
+
+ /* x^100416 mod p(x), x^100352 mod p(x) */
+DATA ·IEEEConst+2512(SB)/8,$0x0000000038385d02
+DATA ·IEEEConst+2520(SB)/8,$0x00000000972e4a58
+
+ /* x^99392 mod p(x), x^99328 mod p(x) */
+DATA ·IEEEConst+2528(SB)/8,$0x00000001b6c83844
+DATA ·IEEEConst+2536(SB)/8,$0x0000000183499a5e
+
+ /* x^98368 mod p(x), x^98304 mod p(x) */
+DATA ·IEEEConst+2544(SB)/8,$0x0000000051061a8a
+DATA ·IEEEConst+2552(SB)/8,$0x00000001c96a8cca
+
+ /* x^97344 mod p(x), x^97280 mod p(x) */
+DATA ·IEEEConst+2560(SB)/8,$0x000000017351388a
+DATA ·IEEEConst+2568(SB)/8,$0x00000001a1a5b60c
+
+ /* x^96320 mod p(x), x^96256 mod p(x) */
+DATA ·IEEEConst+2576(SB)/8,$0x0000000132928f92
+DATA ·IEEEConst+2584(SB)/8,$0x00000000e4b6ac9c
+
+ /* x^95296 mod p(x), x^95232 mod p(x) */
+DATA ·IEEEConst+2592(SB)/8,$0x00000000e6b4f48a
+DATA ·IEEEConst+2600(SB)/8,$0x00000001807e7f5a
+
+ /* x^94272 mod p(x), x^94208 mod p(x) */
+DATA ·IEEEConst+2608(SB)/8,$0x0000000039d15e90
+DATA ·IEEEConst+2616(SB)/8,$0x000000017a7e3bc8
+
+ /* x^93248 mod p(x), x^93184 mod p(x) */
+DATA ·IEEEConst+2624(SB)/8,$0x00000000312d6074
+DATA ·IEEEConst+2632(SB)/8,$0x00000000d73975da
+
+ /* x^92224 mod p(x), x^92160 mod p(x) */
+DATA ·IEEEConst+2640(SB)/8,$0x000000017bbb2cc4
+DATA ·IEEEConst+2648(SB)/8,$0x000000017375d038
+
+ /* x^91200 mod p(x), x^91136 mod p(x) */
+DATA ·IEEEConst+2656(SB)/8,$0x000000016ded3e18
+DATA ·IEEEConst+2664(SB)/8,$0x00000000193680bc
+
+ /* x^90176 mod p(x), x^90112 mod p(x) */
+DATA ·IEEEConst+2672(SB)/8,$0x00000000f1638b16
+DATA ·IEEEConst+2680(SB)/8,$0x00000000999b06f6
+
+ /* x^89152 mod p(x), x^89088 mod p(x) */
+DATA ·IEEEConst+2688(SB)/8,$0x00000001d38b9ecc
+DATA ·IEEEConst+2696(SB)/8,$0x00000001f685d2b8
+
+ /* x^88128 mod p(x), x^88064 mod p(x) */
+DATA ·IEEEConst+2704(SB)/8,$0x000000018b8d09dc
+DATA ·IEEEConst+2712(SB)/8,$0x00000001f4ecbed2
+
+ /* x^87104 mod p(x), x^87040 mod p(x) */
+DATA ·IEEEConst+2720(SB)/8,$0x00000000e7bc27d2
+DATA ·IEEEConst+2728(SB)/8,$0x00000000ba16f1a0
+
+ /* x^86080 mod p(x), x^86016 mod p(x) */
+DATA ·IEEEConst+2736(SB)/8,$0x00000000275e1e96
+DATA ·IEEEConst+2744(SB)/8,$0x0000000115aceac4
+
+ /* x^85056 mod p(x), x^84992 mod p(x) */
+DATA ·IEEEConst+2752(SB)/8,$0x00000000e2e3031e
+DATA ·IEEEConst+2760(SB)/8,$0x00000001aeff6292
+
+ /* x^84032 mod p(x), x^83968 mod p(x) */
+DATA ·IEEEConst+2768(SB)/8,$0x00000001041c84d8
+DATA ·IEEEConst+2776(SB)/8,$0x000000009640124c
+
+ /* x^83008 mod p(x), x^82944 mod p(x) */
+DATA ·IEEEConst+2784(SB)/8,$0x00000000706ce672
+DATA ·IEEEConst+2792(SB)/8,$0x0000000114f41f02
+
+ /* x^81984 mod p(x), x^81920 mod p(x) */
+DATA ·IEEEConst+2800(SB)/8,$0x000000015d5070da
+DATA ·IEEEConst+2808(SB)/8,$0x000000009c5f3586
+
+ /* x^80960 mod p(x), x^80896 mod p(x) */
+DATA ·IEEEConst+2816(SB)/8,$0x0000000038f9493a
+DATA ·IEEEConst+2824(SB)/8,$0x00000001878275fa
+
+ /* x^79936 mod p(x), x^79872 mod p(x) */
+DATA ·IEEEConst+2832(SB)/8,$0x00000000a3348a76
+DATA ·IEEEConst+2840(SB)/8,$0x00000000ddc42ce8
+
+ /* x^78912 mod p(x), x^78848 mod p(x) */
+DATA ·IEEEConst+2848(SB)/8,$0x00000001ad0aab92
+DATA ·IEEEConst+2856(SB)/8,$0x0000000181d2c73a
+
+ /* x^77888 mod p(x), x^77824 mod p(x) */
+DATA ·IEEEConst+2864(SB)/8,$0x000000019e85f712
+DATA ·IEEEConst+2872(SB)/8,$0x0000000141c9320a
+
+ /* x^76864 mod p(x), x^76800 mod p(x) */
+DATA ·IEEEConst+2880(SB)/8,$0x000000005a871e76
+DATA ·IEEEConst+2888(SB)/8,$0x000000015235719a
+
+ /* x^75840 mod p(x), x^75776 mod p(x) */
+DATA ·IEEEConst+2896(SB)/8,$0x000000017249c662
+DATA ·IEEEConst+2904(SB)/8,$0x00000000be27d804
+
+ /* x^74816 mod p(x), x^74752 mod p(x) */
+DATA ·IEEEConst+2912(SB)/8,$0x000000003a084712
+DATA ·IEEEConst+2920(SB)/8,$0x000000006242d45a
+
+ /* x^73792 mod p(x), x^73728 mod p(x) */
+DATA ·IEEEConst+2928(SB)/8,$0x00000000ed438478
+DATA ·IEEEConst+2936(SB)/8,$0x000000009a53638e
+
+ /* x^72768 mod p(x), x^72704 mod p(x) */
+DATA ·IEEEConst+2944(SB)/8,$0x00000000abac34cc
+DATA ·IEEEConst+2952(SB)/8,$0x00000001001ecfb6
+
+ /* x^71744 mod p(x), x^71680 mod p(x) */
+DATA ·IEEEConst+2960(SB)/8,$0x000000005f35ef3e
+DATA ·IEEEConst+2968(SB)/8,$0x000000016d7c2d64
+
+ /* x^70720 mod p(x), x^70656 mod p(x) */
+DATA ·IEEEConst+2976(SB)/8,$0x0000000047d6608c
+DATA ·IEEEConst+2984(SB)/8,$0x00000001d0ce46c0
+
+ /* x^69696 mod p(x), x^69632 mod p(x) */
+DATA ·IEEEConst+2992(SB)/8,$0x000000002d01470e
+DATA ·IEEEConst+3000(SB)/8,$0x0000000124c907b4
+
+ /* x^68672 mod p(x), x^68608 mod p(x) */
+DATA ·IEEEConst+3008(SB)/8,$0x0000000158bbc7b0
+DATA ·IEEEConst+3016(SB)/8,$0x0000000018a555ca
+
+ /* x^67648 mod p(x), x^67584 mod p(x) */
+DATA ·IEEEConst+3024(SB)/8,$0x00000000c0a23e8e
+DATA ·IEEEConst+3032(SB)/8,$0x000000006b0980bc
+
+ /* x^66624 mod p(x), x^66560 mod p(x) */
+DATA ·IEEEConst+3040(SB)/8,$0x00000001ebd85c88
+DATA ·IEEEConst+3048(SB)/8,$0x000000008bbba964
+
+ /* x^65600 mod p(x), x^65536 mod p(x) */
+DATA ·IEEEConst+3056(SB)/8,$0x000000019ee20bb2
+DATA ·IEEEConst+3064(SB)/8,$0x00000001070a5a1e
+
+ /* x^64576 mod p(x), x^64512 mod p(x) */
+DATA ·IEEEConst+3072(SB)/8,$0x00000001acabf2d6
+DATA ·IEEEConst+3080(SB)/8,$0x000000002204322a
+
+ /* x^63552 mod p(x), x^63488 mod p(x) */
+DATA ·IEEEConst+3088(SB)/8,$0x00000001b7963d56
+DATA ·IEEEConst+3096(SB)/8,$0x00000000a27524d0
+
+ /* x^62528 mod p(x), x^62464 mod p(x) */
+DATA ·IEEEConst+3104(SB)/8,$0x000000017bffa1fe
+DATA ·IEEEConst+3112(SB)/8,$0x0000000020b1e4ba
+
+ /* x^61504 mod p(x), x^61440 mod p(x) */
+DATA ·IEEEConst+3120(SB)/8,$0x000000001f15333e
+DATA ·IEEEConst+3128(SB)/8,$0x0000000032cc27fc
+
+ /* x^60480 mod p(x), x^60416 mod p(x) */
+DATA ·IEEEConst+3136(SB)/8,$0x000000018593129e
+DATA ·IEEEConst+3144(SB)/8,$0x0000000044dd22b8
+
+ /* x^59456 mod p(x), x^59392 mod p(x) */
+DATA ·IEEEConst+3152(SB)/8,$0x000000019cb32602
+DATA ·IEEEConst+3160(SB)/8,$0x00000000dffc9e0a
+
+ /* x^58432 mod p(x), x^58368 mod p(x) */
+DATA ·IEEEConst+3168(SB)/8,$0x0000000142b05cc8
+DATA ·IEEEConst+3176(SB)/8,$0x00000001b7a0ed14
+
+ /* x^57408 mod p(x), x^57344 mod p(x) */
+DATA ·IEEEConst+3184(SB)/8,$0x00000001be49e7a4
+DATA ·IEEEConst+3192(SB)/8,$0x00000000c7842488
+
+ /* x^56384 mod p(x), x^56320 mod p(x) */
+DATA ·IEEEConst+3200(SB)/8,$0x0000000108f69d6c
+DATA ·IEEEConst+3208(SB)/8,$0x00000001c02a4fee
+
+ /* x^55360 mod p(x), x^55296 mod p(x) */
+DATA ·IEEEConst+3216(SB)/8,$0x000000006c0971f0
+DATA ·IEEEConst+3224(SB)/8,$0x000000003c273778
+
+ /* x^54336 mod p(x), x^54272 mod p(x) */
+DATA ·IEEEConst+3232(SB)/8,$0x000000005b16467a
+DATA ·IEEEConst+3240(SB)/8,$0x00000001d63f8894
+
+ /* x^53312 mod p(x), x^53248 mod p(x) */
+DATA ·IEEEConst+3248(SB)/8,$0x00000001551a628e
+DATA ·IEEEConst+3256(SB)/8,$0x000000006be557d6
+
+ /* x^52288 mod p(x), x^52224 mod p(x) */
+DATA ·IEEEConst+3264(SB)/8,$0x000000019e42ea92
+DATA ·IEEEConst+3272(SB)/8,$0x000000006a7806ea
+
+ /* x^51264 mod p(x), x^51200 mod p(x) */
+DATA ·IEEEConst+3280(SB)/8,$0x000000012fa83ff2
+DATA ·IEEEConst+3288(SB)/8,$0x000000016155aa0c
+
+ /* x^50240 mod p(x), x^50176 mod p(x) */
+DATA ·IEEEConst+3296(SB)/8,$0x000000011ca9cde0
+DATA ·IEEEConst+3304(SB)/8,$0x00000000908650ac
+
+ /* x^49216 mod p(x), x^49152 mod p(x) */
+DATA ·IEEEConst+3312(SB)/8,$0x00000000c8e5cd74
+DATA ·IEEEConst+3320(SB)/8,$0x00000000aa5a8084
+
+ /* x^48192 mod p(x), x^48128 mod p(x) */
+DATA ·IEEEConst+3328(SB)/8,$0x0000000096c27f0c
+DATA ·IEEEConst+3336(SB)/8,$0x0000000191bb500a
+
+ /* x^47168 mod p(x), x^47104 mod p(x) */
+DATA ·IEEEConst+3344(SB)/8,$0x000000002baed926
+DATA ·IEEEConst+3352(SB)/8,$0x0000000064e9bed0
+
+ /* x^46144 mod p(x), x^46080 mod p(x) */
+DATA ·IEEEConst+3360(SB)/8,$0x000000017c8de8d2
+DATA ·IEEEConst+3368(SB)/8,$0x000000009444f302
+
+ /* x^45120 mod p(x), x^45056 mod p(x) */
+DATA ·IEEEConst+3376(SB)/8,$0x00000000d43d6068
+DATA ·IEEEConst+3384(SB)/8,$0x000000019db07d3c
+
+ /* x^44096 mod p(x), x^44032 mod p(x) */
+DATA ·IEEEConst+3392(SB)/8,$0x00000000cb2c4b26
+DATA ·IEEEConst+3400(SB)/8,$0x00000001359e3e6e
+
+ /* x^43072 mod p(x), x^43008 mod p(x) */
+DATA ·IEEEConst+3408(SB)/8,$0x0000000145b8da26
+DATA ·IEEEConst+3416(SB)/8,$0x00000001e4f10dd2
+
+ /* x^42048 mod p(x), x^41984 mod p(x) */
+DATA ·IEEEConst+3424(SB)/8,$0x000000018fff4b08
+DATA ·IEEEConst+3432(SB)/8,$0x0000000124f5735e
+
+ /* x^41024 mod p(x), x^40960 mod p(x) */
+DATA ·IEEEConst+3440(SB)/8,$0x0000000150b58ed0
+DATA ·IEEEConst+3448(SB)/8,$0x0000000124760a4c
+
+ /* x^40000 mod p(x), x^39936 mod p(x) */
+DATA ·IEEEConst+3456(SB)/8,$0x00000001549f39bc
+DATA ·IEEEConst+3464(SB)/8,$0x000000000f1fc186
+
+ /* x^38976 mod p(x), x^38912 mod p(x) */
+DATA ·IEEEConst+3472(SB)/8,$0x00000000ef4d2f42
+DATA ·IEEEConst+3480(SB)/8,$0x00000000150e4cc4
+
+ /* x^37952 mod p(x), x^37888 mod p(x) */
+DATA ·IEEEConst+3488(SB)/8,$0x00000001b1468572
+DATA ·IEEEConst+3496(SB)/8,$0x000000002a6204e8
+
+ /* x^36928 mod p(x), x^36864 mod p(x) */
+DATA ·IEEEConst+3504(SB)/8,$0x000000013d7403b2
+DATA ·IEEEConst+3512(SB)/8,$0x00000000beb1d432
+
+ /* x^35904 mod p(x), x^35840 mod p(x) */
+DATA ·IEEEConst+3520(SB)/8,$0x00000001a4681842
+DATA ·IEEEConst+3528(SB)/8,$0x0000000135f3f1f0
+
+ /* x^34880 mod p(x), x^34816 mod p(x) */
+DATA ·IEEEConst+3536(SB)/8,$0x0000000167714492
+DATA ·IEEEConst+3544(SB)/8,$0x0000000074fe2232
+
+ /* x^33856 mod p(x), x^33792 mod p(x) */
+DATA ·IEEEConst+3552(SB)/8,$0x00000001e599099a
+DATA ·IEEEConst+3560(SB)/8,$0x000000001ac6e2ba
+
+ /* x^32832 mod p(x), x^32768 mod p(x) */
+DATA ·IEEEConst+3568(SB)/8,$0x00000000fe128194
+DATA ·IEEEConst+3576(SB)/8,$0x0000000013fca91e
+
+ /* x^31808 mod p(x), x^31744 mod p(x) */
+DATA ·IEEEConst+3584(SB)/8,$0x0000000077e8b990
+DATA ·IEEEConst+3592(SB)/8,$0x0000000183f4931e
+
+ /* x^30784 mod p(x), x^30720 mod p(x) */
+DATA ·IEEEConst+3600(SB)/8,$0x00000001a267f63a
+DATA ·IEEEConst+3608(SB)/8,$0x00000000b6d9b4e4
+
+ /* x^29760 mod p(x), x^29696 mod p(x) */
+DATA ·IEEEConst+3616(SB)/8,$0x00000001945c245a
+DATA ·IEEEConst+3624(SB)/8,$0x00000000b5188656
+
+ /* x^28736 mod p(x), x^28672 mod p(x) */
+DATA ·IEEEConst+3632(SB)/8,$0x0000000149002e76
+DATA ·IEEEConst+3640(SB)/8,$0x0000000027a81a84
+
+ /* x^27712 mod p(x), x^27648 mod p(x) */
+DATA ·IEEEConst+3648(SB)/8,$0x00000001bb8310a4
+DATA ·IEEEConst+3656(SB)/8,$0x0000000125699258
+
+ /* x^26688 mod p(x), x^26624 mod p(x) */
+DATA ·IEEEConst+3664(SB)/8,$0x000000019ec60bcc
+DATA ·IEEEConst+3672(SB)/8,$0x00000001b23de796
+
+ /* x^25664 mod p(x), x^25600 mod p(x) */
+DATA ·IEEEConst+3680(SB)/8,$0x000000012d8590ae
+DATA ·IEEEConst+3688(SB)/8,$0x00000000fe4365dc
+
+ /* x^24640 mod p(x), x^24576 mod p(x) */
+DATA ·IEEEConst+3696(SB)/8,$0x0000000065b00684
+DATA ·IEEEConst+3704(SB)/8,$0x00000000c68f497a
+
+ /* x^23616 mod p(x), x^23552 mod p(x) */
+DATA ·IEEEConst+3712(SB)/8,$0x000000015e5aeadc
+DATA ·IEEEConst+3720(SB)/8,$0x00000000fbf521ee
+
+ /* x^22592 mod p(x), x^22528 mod p(x) */
+DATA ·IEEEConst+3728(SB)/8,$0x00000000b77ff2b0
+DATA ·IEEEConst+3736(SB)/8,$0x000000015eac3378
+
+ /* x^21568 mod p(x), x^21504 mod p(x) */
+DATA ·IEEEConst+3744(SB)/8,$0x0000000188da2ff6
+DATA ·IEEEConst+3752(SB)/8,$0x0000000134914b90
+
+ /* x^20544 mod p(x), x^20480 mod p(x) */
+DATA ·IEEEConst+3760(SB)/8,$0x0000000063da929a
+DATA ·IEEEConst+3768(SB)/8,$0x0000000016335cfe
+
+ /* x^19520 mod p(x), x^19456 mod p(x) */
+DATA ·IEEEConst+3776(SB)/8,$0x00000001389caa80
+DATA ·IEEEConst+3784(SB)/8,$0x000000010372d10c
+
+ /* x^18496 mod p(x), x^18432 mod p(x) */
+DATA ·IEEEConst+3792(SB)/8,$0x000000013db599d2
+DATA ·IEEEConst+3800(SB)/8,$0x000000015097b908
+
+ /* x^17472 mod p(x), x^17408 mod p(x) */
+DATA ·IEEEConst+3808(SB)/8,$0x0000000122505a86
+DATA ·IEEEConst+3816(SB)/8,$0x00000001227a7572
+
+ /* x^16448 mod p(x), x^16384 mod p(x) */
+DATA ·IEEEConst+3824(SB)/8,$0x000000016bd72746
+DATA ·IEEEConst+3832(SB)/8,$0x000000009a8f75c0
+
+ /* x^15424 mod p(x), x^15360 mod p(x) */
+DATA ·IEEEConst+3840(SB)/8,$0x00000001c3faf1d4
+DATA ·IEEEConst+3848(SB)/8,$0x00000000682c77a2
+
+ /* x^14400 mod p(x), x^14336 mod p(x) */
+DATA ·IEEEConst+3856(SB)/8,$0x00000001111c826c
+DATA ·IEEEConst+3864(SB)/8,$0x00000000231f091c
+
+ /* x^13376 mod p(x), x^13312 mod p(x) */
+DATA ·IEEEConst+3872(SB)/8,$0x00000000153e9fb2
+DATA ·IEEEConst+3880(SB)/8,$0x000000007d4439f2
+
+ /* x^12352 mod p(x), x^12288 mod p(x) */
+DATA ·IEEEConst+3888(SB)/8,$0x000000002b1f7b60
+DATA ·IEEEConst+3896(SB)/8,$0x000000017e221efc
+
+ /* x^11328 mod p(x), x^11264 mod p(x) */
+DATA ·IEEEConst+3904(SB)/8,$0x00000000b1dba570
+DATA ·IEEEConst+3912(SB)/8,$0x0000000167457c38
+
+ /* x^10304 mod p(x), x^10240 mod p(x) */
+DATA ·IEEEConst+3920(SB)/8,$0x00000001f6397b76
+DATA ·IEEEConst+3928(SB)/8,$0x00000000bdf081c4
+
+ /* x^9280 mod p(x), x^9216 mod p(x) */
+DATA ·IEEEConst+3936(SB)/8,$0x0000000156335214
+DATA ·IEEEConst+3944(SB)/8,$0x000000016286d6b0
+
+ /* x^8256 mod p(x), x^8192 mod p(x) */
+DATA ·IEEEConst+3952(SB)/8,$0x00000001d70e3986
+DATA ·IEEEConst+3960(SB)/8,$0x00000000c84f001c
+
+ /* x^7232 mod p(x), x^7168 mod p(x) */
+DATA ·IEEEConst+3968(SB)/8,$0x000000003701a774
+DATA ·IEEEConst+3976(SB)/8,$0x0000000064efe7c0
+
+ /* x^6208 mod p(x), x^6144 mod p(x) */
+DATA ·IEEEConst+3984(SB)/8,$0x00000000ac81ef72
+DATA ·IEEEConst+3992(SB)/8,$0x000000000ac2d904
+
+ /* x^5184 mod p(x), x^5120 mod p(x) */
+DATA ·IEEEConst+4000(SB)/8,$0x0000000133212464
+DATA ·IEEEConst+4008(SB)/8,$0x00000000fd226d14
+
+ /* x^4160 mod p(x), x^4096 mod p(x) */
+DATA ·IEEEConst+4016(SB)/8,$0x00000000e4e45610
+DATA ·IEEEConst+4024(SB)/8,$0x000000011cfd42e0
+
+ /* x^3136 mod p(x), x^3072 mod p(x) */
+DATA ·IEEEConst+4032(SB)/8,$0x000000000c1bd370
+DATA ·IEEEConst+4040(SB)/8,$0x000000016e5a5678
+
+ /* x^2112 mod p(x), x^2048 mod p(x) */
+DATA ·IEEEConst+4048(SB)/8,$0x00000001a7b9e7a6
+DATA ·IEEEConst+4056(SB)/8,$0x00000001d888fe22
+
+ /* x^1088 mod p(x), x^1024 mod p(x) */
+DATA ·IEEEConst+4064(SB)/8,$0x000000007d657a10
+DATA ·IEEEConst+4072(SB)/8,$0x00000001af77fcd4
+
+ /* x^2048 mod p(x), x^2016 mod p(x), x^1984 mod p(x), x^1952 mod p(x) */
+DATA ·IEEEConst+4080(SB)/8,$0x99168a18ec447f11
+DATA ·IEEEConst+4088(SB)/8,$0xed837b2613e8221e
+
+ /* x^1920 mod p(x), x^1888 mod p(x), x^1856 mod p(x), x^1824 mod p(x) */
+DATA ·IEEEConst+4096(SB)/8,$0xe23e954e8fd2cd3c
+DATA ·IEEEConst+4104(SB)/8,$0xc8acdd8147b9ce5a
+
+ /* x^1792 mod p(x), x^1760 mod p(x), x^1728 mod p(x), x^1696 mod p(x) */
+DATA ·IEEEConst+4112(SB)/8,$0x92f8befe6b1d2b53
+DATA ·IEEEConst+4120(SB)/8,$0xd9ad6d87d4277e25
+
+ /* x^1664 mod p(x), x^1632 mod p(x), x^1600 mod p(x), x^1568 mod p(x) */
+DATA ·IEEEConst+4128(SB)/8,$0xf38a3556291ea462
+DATA ·IEEEConst+4136(SB)/8,$0xc10ec5e033fbca3b
+
+ /* x^1536 mod p(x), x^1504 mod p(x), x^1472 mod p(x), x^1440 mod p(x) */
+DATA ·IEEEConst+4144(SB)/8,$0x974ac56262b6ca4b
+DATA ·IEEEConst+4152(SB)/8,$0xc0b55b0e82e02e2f
+
+ /* x^1408 mod p(x), x^1376 mod p(x), x^1344 mod p(x), x^1312 mod p(x) */
+DATA ·IEEEConst+4160(SB)/8,$0x855712b3784d2a56
+DATA ·IEEEConst+4168(SB)/8,$0x71aa1df0e172334d
+
+ /* x^1280 mod p(x), x^1248 mod p(x), x^1216 mod p(x), x^1184 mod p(x) */
+DATA ·IEEEConst+4176(SB)/8,$0xa5abe9f80eaee722
+DATA ·IEEEConst+4184(SB)/8,$0xfee3053e3969324d
+
+ /* x^1152 mod p(x), x^1120 mod p(x), x^1088 mod p(x), x^1056 mod p(x) */
+DATA ·IEEEConst+4192(SB)/8,$0x1fa0943ddb54814c
+DATA ·IEEEConst+4200(SB)/8,$0xf44779b93eb2bd08
+
+ /* x^1024 mod p(x), x^992 mod p(x), x^960 mod p(x), x^928 mod p(x) */
+DATA ·IEEEConst+4208(SB)/8,$0xa53ff440d7bbfe6a
+DATA ·IEEEConst+4216(SB)/8,$0xf5449b3f00cc3374
+
+ /* x^896 mod p(x), x^864 mod p(x), x^832 mod p(x), x^800 mod p(x) */
+DATA ·IEEEConst+4224(SB)/8,$0xebe7e3566325605c
+DATA ·IEEEConst+4232(SB)/8,$0x6f8346e1d777606e
+
+ /* x^768 mod p(x), x^736 mod p(x), x^704 mod p(x), x^672 mod p(x) */
+DATA ·IEEEConst+4240(SB)/8,$0xc65a272ce5b592b8
+DATA ·IEEEConst+4248(SB)/8,$0xe3ab4f2ac0b95347
+
+ /* x^640 mod p(x), x^608 mod p(x), x^576 mod p(x), x^544 mod p(x) */
+DATA ·IEEEConst+4256(SB)/8,$0x5705a9ca4721589f
+DATA ·IEEEConst+4264(SB)/8,$0xaa2215ea329ecc11
+
+ /* x^512 mod p(x), x^480 mod p(x), x^448 mod p(x), x^416 mod p(x) */
+DATA ·IEEEConst+4272(SB)/8,$0xe3720acb88d14467
+DATA ·IEEEConst+4280(SB)/8,$0x1ed8f66ed95efd26
+
+ /* x^384 mod p(x), x^352 mod p(x), x^320 mod p(x), x^288 mod p(x) */
+DATA ·IEEEConst+4288(SB)/8,$0xba1aca0315141c31
+DATA ·IEEEConst+4296(SB)/8,$0x78ed02d5a700e96a
+
+ /* x^256 mod p(x), x^224 mod p(x), x^192 mod p(x), x^160 mod p(x) */
+DATA ·IEEEConst+4304(SB)/8,$0xad2a31b3ed627dae
+DATA ·IEEEConst+4312(SB)/8,$0xba8ccbe832b39da3
+
+ /* x^128 mod p(x), x^96 mod p(x), x^64 mod p(x), x^32 mod p(x) */
+DATA ·IEEEConst+4320(SB)/8,$0x6655004fa06a2517
+DATA ·IEEEConst+4328(SB)/8,$0xedb88320b1e6b092
+
+GLOBL ·IEEEConst(SB),RODATA,$4336
+
+ /* Barrett constant m - (4^32)/n */
+DATA ·IEEEBarConst(SB)/8,$0x00000001f7011641
+DATA ·IEEEBarConst+8(SB)/8,$0x0000000000000000
+DATA ·IEEEBarConst+16(SB)/8,$0x00000001db710641
+DATA ·IEEEBarConst+24(SB)/8,$0x0000000000000000
+GLOBL ·IEEEBarConst(SB),RODATA,$32
+
+ /* Reduce 262144 kbits to 1024 bits */
+ /* x^261184 mod p(x), x^261120 mod p(x) */
+DATA ·CastConst+0(SB)/8,$0x000000009c37c408
+DATA ·CastConst+8(SB)/8,$0x00000000b6ca9e20
+
+ /* x^260160 mod p(x), x^260096 mod p(x) */
+DATA ·CastConst+16(SB)/8,$0x00000001b51df26c
+DATA ·CastConst+24(SB)/8,$0x00000000350249a8
+
+ /* x^259136 mod p(x), x^259072 mod p(x) */
+DATA ·CastConst+32(SB)/8,$0x000000000724b9d0
+DATA ·CastConst+40(SB)/8,$0x00000001862dac54
+
+ /* x^258112 mod p(x), x^258048 mod p(x) */
+DATA ·CastConst+48(SB)/8,$0x00000001c00532fe
+DATA ·CastConst+56(SB)/8,$0x00000001d87fb48c
+
+ /* x^257088 mod p(x), x^257024 mod p(x) */
+DATA ·CastConst+64(SB)/8,$0x00000000f05a9362
+DATA ·CastConst+72(SB)/8,$0x00000001f39b699e
+
+ /* x^256064 mod p(x), x^256000 mod p(x) */
+DATA ·CastConst+80(SB)/8,$0x00000001e1007970
+DATA ·CastConst+88(SB)/8,$0x0000000101da11b4
+
+ /* x^255040 mod p(x), x^254976 mod p(x) */
+DATA ·CastConst+96(SB)/8,$0x00000000a57366ee
+DATA ·CastConst+104(SB)/8,$0x00000001cab571e0
+
+ /* x^254016 mod p(x), x^253952 mod p(x) */
+DATA ·CastConst+112(SB)/8,$0x0000000192011284
+DATA ·CastConst+120(SB)/8,$0x00000000c7020cfe
+
+ /* x^252992 mod p(x), x^252928 mod p(x) */
+DATA ·CastConst+128(SB)/8,$0x0000000162716d9a
+DATA ·CastConst+136(SB)/8,$0x00000000cdaed1ae
+
+ /* x^251968 mod p(x), x^251904 mod p(x) */
+DATA ·CastConst+144(SB)/8,$0x00000000cd97ecde
+DATA ·CastConst+152(SB)/8,$0x00000001e804effc
+
+ /* x^250944 mod p(x), x^250880 mod p(x) */
+DATA ·CastConst+160(SB)/8,$0x0000000058812bc0
+DATA ·CastConst+168(SB)/8,$0x0000000077c3ea3a
+
+ /* x^249920 mod p(x), x^249856 mod p(x) */
+DATA ·CastConst+176(SB)/8,$0x0000000088b8c12e
+DATA ·CastConst+184(SB)/8,$0x0000000068df31b4
+
+ /* x^248896 mod p(x), x^248832 mod p(x) */
+DATA ·CastConst+192(SB)/8,$0x00000001230b234c
+DATA ·CastConst+200(SB)/8,$0x00000000b059b6c2
+
+ /* x^247872 mod p(x), x^247808 mod p(x) */
+DATA ·CastConst+208(SB)/8,$0x00000001120b416e
+DATA ·CastConst+216(SB)/8,$0x0000000145fb8ed8
+
+ /* x^246848 mod p(x), x^246784 mod p(x) */
+DATA ·CastConst+224(SB)/8,$0x00000001974aecb0
+DATA ·CastConst+232(SB)/8,$0x00000000cbc09168
+
+ /* x^245824 mod p(x), x^245760 mod p(x) */
+DATA ·CastConst+240(SB)/8,$0x000000008ee3f226
+DATA ·CastConst+248(SB)/8,$0x000000005ceeedc2
+
+ /* x^244800 mod p(x), x^244736 mod p(x) */
+DATA ·CastConst+256(SB)/8,$0x00000001089aba9a
+DATA ·CastConst+264(SB)/8,$0x0000000047d74e86
+
+ /* x^243776 mod p(x), x^243712 mod p(x) */
+DATA ·CastConst+272(SB)/8,$0x0000000065113872
+DATA ·CastConst+280(SB)/8,$0x00000001407e9e22
+
+ /* x^242752 mod p(x), x^242688 mod p(x) */
+DATA ·CastConst+288(SB)/8,$0x000000005c07ec10
+DATA ·CastConst+296(SB)/8,$0x00000001da967bda
+
+ /* x^241728 mod p(x), x^241664 mod p(x) */
+DATA ·CastConst+304(SB)/8,$0x0000000187590924
+DATA ·CastConst+312(SB)/8,$0x000000006c898368
+
+ /* x^240704 mod p(x), x^240640 mod p(x) */
+DATA ·CastConst+320(SB)/8,$0x00000000e35da7c6
+DATA ·CastConst+328(SB)/8,$0x00000000f2d14c98
+
+ /* x^239680 mod p(x), x^239616 mod p(x) */
+DATA ·CastConst+336(SB)/8,$0x000000000415855a
+DATA ·CastConst+344(SB)/8,$0x00000001993c6ad4
+
+ /* x^238656 mod p(x), x^238592 mod p(x) */
+DATA ·CastConst+352(SB)/8,$0x0000000073617758
+DATA ·CastConst+360(SB)/8,$0x000000014683d1ac
+
+ /* x^237632 mod p(x), x^237568 mod p(x) */
+DATA ·CastConst+368(SB)/8,$0x0000000176021d28
+DATA ·CastConst+376(SB)/8,$0x00000001a7c93e6c
+
+ /* x^236608 mod p(x), x^236544 mod p(x) */
+DATA ·CastConst+384(SB)/8,$0x00000001c358fd0a
+DATA ·CastConst+392(SB)/8,$0x000000010211e90a
+
+ /* x^235584 mod p(x), x^235520 mod p(x) */
+DATA ·CastConst+400(SB)/8,$0x00000001ff7a2c18
+DATA ·CastConst+408(SB)/8,$0x000000001119403e
+
+ /* x^234560 mod p(x), x^234496 mod p(x) */
+DATA ·CastConst+416(SB)/8,$0x00000000f2d9f7e4
+DATA ·CastConst+424(SB)/8,$0x000000001c3261aa
+
+ /* x^233536 mod p(x), x^233472 mod p(x) */
+DATA ·CastConst+432(SB)/8,$0x000000016cf1f9c8
+DATA ·CastConst+440(SB)/8,$0x000000014e37a634
+
+ /* x^232512 mod p(x), x^232448 mod p(x) */
+DATA ·CastConst+448(SB)/8,$0x000000010af9279a
+DATA ·CastConst+456(SB)/8,$0x0000000073786c0c
+
+ /* x^231488 mod p(x), x^231424 mod p(x) */
+DATA ·CastConst+464(SB)/8,$0x0000000004f101e8
+DATA ·CastConst+472(SB)/8,$0x000000011dc037f8
+
+ /* x^230464 mod p(x), x^230400 mod p(x) */
+DATA ·CastConst+480(SB)/8,$0x0000000070bcf184
+DATA ·CastConst+488(SB)/8,$0x0000000031433dfc
+
+ /* x^229440 mod p(x), x^229376 mod p(x) */
+DATA ·CastConst+496(SB)/8,$0x000000000a8de642
+DATA ·CastConst+504(SB)/8,$0x000000009cde8348
+
+ /* x^228416 mod p(x), x^228352 mod p(x) */
+DATA ·CastConst+512(SB)/8,$0x0000000062ea130c
+DATA ·CastConst+520(SB)/8,$0x0000000038d3c2a6
+
+ /* x^227392 mod p(x), x^227328 mod p(x) */
+DATA ·CastConst+528(SB)/8,$0x00000001eb31cbb2
+DATA ·CastConst+536(SB)/8,$0x000000011b25f260
+
+ /* x^226368 mod p(x), x^226304 mod p(x) */
+DATA ·CastConst+544(SB)/8,$0x0000000170783448
+DATA ·CastConst+552(SB)/8,$0x000000001629e6f0
+
+ /* x^225344 mod p(x), x^225280 mod p(x) */
+DATA ·CastConst+560(SB)/8,$0x00000001a684b4c6
+DATA ·CastConst+568(SB)/8,$0x0000000160838b4c
+
+ /* x^224320 mod p(x), x^224256 mod p(x) */
+DATA ·CastConst+576(SB)/8,$0x00000000253ca5b4
+DATA ·CastConst+584(SB)/8,$0x000000007a44011c
+
+ /* x^223296 mod p(x), x^223232 mod p(x) */
+DATA ·CastConst+592(SB)/8,$0x0000000057b4b1e2
+DATA ·CastConst+600(SB)/8,$0x00000000226f417a
+
+ /* x^222272 mod p(x), x^222208 mod p(x) */
+DATA ·CastConst+608(SB)/8,$0x00000000b6bd084c
+DATA ·CastConst+616(SB)/8,$0x0000000045eb2eb4
+
+ /* x^221248 mod p(x), x^221184 mod p(x) */
+DATA ·CastConst+624(SB)/8,$0x0000000123c2d592
+DATA ·CastConst+632(SB)/8,$0x000000014459d70c
+
+ /* x^220224 mod p(x), x^220160 mod p(x) */
+DATA ·CastConst+640(SB)/8,$0x00000000159dafce
+DATA ·CastConst+648(SB)/8,$0x00000001d406ed82
+
+ /* x^219200 mod p(x), x^219136 mod p(x) */
+DATA ·CastConst+656(SB)/8,$0x0000000127e1a64e
+DATA ·CastConst+664(SB)/8,$0x0000000160c8e1a8
+
+ /* x^218176 mod p(x), x^218112 mod p(x) */
+DATA ·CastConst+672(SB)/8,$0x0000000056860754
+DATA ·CastConst+680(SB)/8,$0x0000000027ba8098
+
+ /* x^217152 mod p(x), x^217088 mod p(x) */
+DATA ·CastConst+688(SB)/8,$0x00000001e661aae8
+DATA ·CastConst+696(SB)/8,$0x000000006d92d018
+
+ /* x^216128 mod p(x), x^216064 mod p(x) */
+DATA ·CastConst+704(SB)/8,$0x00000000f82c6166
+DATA ·CastConst+712(SB)/8,$0x000000012ed7e3f2
+
+ /* x^215104 mod p(x), x^215040 mod p(x) */
+DATA ·CastConst+720(SB)/8,$0x00000000c4f9c7ae
+DATA ·CastConst+728(SB)/8,$0x000000002dc87788
+
+ /* x^214080 mod p(x), x^214016 mod p(x) */
+DATA ·CastConst+736(SB)/8,$0x0000000074203d20
+DATA ·CastConst+744(SB)/8,$0x0000000018240bb8
+
+ /* x^213056 mod p(x), x^212992 mod p(x) */
+DATA ·CastConst+752(SB)/8,$0x0000000198173052
+DATA ·CastConst+760(SB)/8,$0x000000001ad38158
+
+ /* x^212032 mod p(x), x^211968 mod p(x) */
+DATA ·CastConst+768(SB)/8,$0x00000001ce8aba54
+DATA ·CastConst+776(SB)/8,$0x00000001396b78f2
+
+ /* x^211008 mod p(x), x^210944 mod p(x) */
+DATA ·CastConst+784(SB)/8,$0x00000001850d5d94
+DATA ·CastConst+792(SB)/8,$0x000000011a681334
+
+ /* x^209984 mod p(x), x^209920 mod p(x) */
+DATA ·CastConst+800(SB)/8,$0x00000001d609239c
+DATA ·CastConst+808(SB)/8,$0x000000012104732e
+
+ /* x^208960 mod p(x), x^208896 mod p(x) */
+DATA ·CastConst+816(SB)/8,$0x000000001595f048
+DATA ·CastConst+824(SB)/8,$0x00000000a140d90c
+
+ /* x^207936 mod p(x), x^207872 mod p(x) */
+DATA ·CastConst+832(SB)/8,$0x0000000042ccee08
+DATA ·CastConst+840(SB)/8,$0x00000001b7215eda
+
+ /* x^206912 mod p(x), x^206848 mod p(x) */
+DATA ·CastConst+848(SB)/8,$0x000000010a389d74
+DATA ·CastConst+856(SB)/8,$0x00000001aaf1df3c
+
+ /* x^205888 mod p(x), x^205824 mod p(x) */
+DATA ·CastConst+864(SB)/8,$0x000000012a840da6
+DATA ·CastConst+872(SB)/8,$0x0000000029d15b8a
+
+ /* x^204864 mod p(x), x^204800 mod p(x) */
+DATA ·CastConst+880(SB)/8,$0x000000001d181c0c
+DATA ·CastConst+888(SB)/8,$0x00000000f1a96922
+
+ /* x^203840 mod p(x), x^203776 mod p(x) */
+DATA ·CastConst+896(SB)/8,$0x0000000068b7d1f6
+DATA ·CastConst+904(SB)/8,$0x00000001ac80d03c
+
+ /* x^202816 mod p(x), x^202752 mod p(x) */
+DATA ·CastConst+912(SB)/8,$0x000000005b0f14fc
+DATA ·CastConst+920(SB)/8,$0x000000000f11d56a
+
+ /* x^201792 mod p(x), x^201728 mod p(x) */
+DATA ·CastConst+928(SB)/8,$0x0000000179e9e730
+DATA ·CastConst+936(SB)/8,$0x00000001f1c022a2
+
+ /* x^200768 mod p(x), x^200704 mod p(x) */
+DATA ·CastConst+944(SB)/8,$0x00000001ce1368d6
+DATA ·CastConst+952(SB)/8,$0x0000000173d00ae2
+
+ /* x^199744 mod p(x), x^199680 mod p(x) */
+DATA ·CastConst+960(SB)/8,$0x0000000112c3a84c
+DATA ·CastConst+968(SB)/8,$0x00000001d4ffe4ac
+
+ /* x^198720 mod p(x), x^198656 mod p(x) */
+DATA ·CastConst+976(SB)/8,$0x00000000de940fee
+DATA ·CastConst+984(SB)/8,$0x000000016edc5ae4
+
+ /* x^197696 mod p(x), x^197632 mod p(x) */
+DATA ·CastConst+992(SB)/8,$0x00000000fe896b7e
+DATA ·CastConst+1000(SB)/8,$0x00000001f1a02140
+
+ /* x^196672 mod p(x), x^196608 mod p(x) */
+DATA ·CastConst+1008(SB)/8,$0x00000001f797431c
+DATA ·CastConst+1016(SB)/8,$0x00000000ca0b28a0
+
+ /* x^195648 mod p(x), x^195584 mod p(x) */
+DATA ·CastConst+1024(SB)/8,$0x0000000053e989ba
+DATA ·CastConst+1032(SB)/8,$0x00000001928e30a2
+
+ /* x^194624 mod p(x), x^194560 mod p(x) */
+DATA ·CastConst+1040(SB)/8,$0x000000003920cd16
+DATA ·CastConst+1048(SB)/8,$0x0000000097b1b002
+
+ /* x^193600 mod p(x), x^193536 mod p(x) */
+DATA ·CastConst+1056(SB)/8,$0x00000001e6f579b8
+DATA ·CastConst+1064(SB)/8,$0x00000000b15bf906
+
+ /* x^192576 mod p(x), x^192512 mod p(x) */
+DATA ·CastConst+1072(SB)/8,$0x000000007493cb0a
+DATA ·CastConst+1080(SB)/8,$0x00000000411c5d52
+
+ /* x^191552 mod p(x), x^191488 mod p(x) */
+DATA ·CastConst+1088(SB)/8,$0x00000001bdd376d8
+DATA ·CastConst+1096(SB)/8,$0x00000001c36f3300
+
+ /* x^190528 mod p(x), x^190464 mod p(x) */
+DATA ·CastConst+1104(SB)/8,$0x000000016badfee6
+DATA ·CastConst+1112(SB)/8,$0x00000001119227e0
+
+ /* x^189504 mod p(x), x^189440 mod p(x) */
+DATA ·CastConst+1120(SB)/8,$0x0000000071de5c58
+DATA ·CastConst+1128(SB)/8,$0x00000000114d4702
+
+ /* x^188480 mod p(x), x^188416 mod p(x) */
+DATA ·CastConst+1136(SB)/8,$0x00000000453f317c
+DATA ·CastConst+1144(SB)/8,$0x00000000458b5b98
+
+ /* x^187456 mod p(x), x^187392 mod p(x) */
+DATA ·CastConst+1152(SB)/8,$0x0000000121675cce
+DATA ·CastConst+1160(SB)/8,$0x000000012e31fb8e
+
+ /* x^186432 mod p(x), x^186368 mod p(x) */
+DATA ·CastConst+1168(SB)/8,$0x00000001f409ee92
+DATA ·CastConst+1176(SB)/8,$0x000000005cf619d8
+
+ /* x^185408 mod p(x), x^185344 mod p(x) */
+DATA ·CastConst+1184(SB)/8,$0x00000000f36b9c88
+DATA ·CastConst+1192(SB)/8,$0x0000000063f4d8b2
+
+ /* x^184384 mod p(x), x^184320 mod p(x) */
+DATA ·CastConst+1200(SB)/8,$0x0000000036b398f4
+DATA ·CastConst+1208(SB)/8,$0x000000004138dc8a
+
+ /* x^183360 mod p(x), x^183296 mod p(x) */
+DATA ·CastConst+1216(SB)/8,$0x00000001748f9adc
+DATA ·CastConst+1224(SB)/8,$0x00000001d29ee8e0
+
+ /* x^182336 mod p(x), x^182272 mod p(x) */
+DATA ·CastConst+1232(SB)/8,$0x00000001be94ec00
+DATA ·CastConst+1240(SB)/8,$0x000000006a08ace8
+
+ /* x^181312 mod p(x), x^181248 mod p(x) */
+DATA ·CastConst+1248(SB)/8,$0x00000000b74370d6
+DATA ·CastConst+1256(SB)/8,$0x0000000127d42010
+
+ /* x^180288 mod p(x), x^180224 mod p(x) */
+DATA ·CastConst+1264(SB)/8,$0x00000001174d0b98
+DATA ·CastConst+1272(SB)/8,$0x0000000019d76b62
+
+ /* x^179264 mod p(x), x^179200 mod p(x) */
+DATA ·CastConst+1280(SB)/8,$0x00000000befc06a4
+DATA ·CastConst+1288(SB)/8,$0x00000001b1471f6e
+
+ /* x^178240 mod p(x), x^178176 mod p(x) */
+DATA ·CastConst+1296(SB)/8,$0x00000001ae125288
+DATA ·CastConst+1304(SB)/8,$0x00000001f64c19cc
+
+ /* x^177216 mod p(x), x^177152 mod p(x) */
+DATA ·CastConst+1312(SB)/8,$0x0000000095c19b34
+DATA ·CastConst+1320(SB)/8,$0x00000000003c0ea0
+
+ /* x^176192 mod p(x), x^176128 mod p(x) */
+DATA ·CastConst+1328(SB)/8,$0x00000001a78496f2
+DATA ·CastConst+1336(SB)/8,$0x000000014d73abf6
+
+ /* x^175168 mod p(x), x^175104 mod p(x) */
+DATA ·CastConst+1344(SB)/8,$0x00000001ac5390a0
+DATA ·CastConst+1352(SB)/8,$0x00000001620eb844
+
+ /* x^174144 mod p(x), x^174080 mod p(x) */
+DATA ·CastConst+1360(SB)/8,$0x000000002a80ed6e
+DATA ·CastConst+1368(SB)/8,$0x0000000147655048
+
+ /* x^173120 mod p(x), x^173056 mod p(x) */
+DATA ·CastConst+1376(SB)/8,$0x00000001fa9b0128
+DATA ·CastConst+1384(SB)/8,$0x0000000067b5077e
+
+ /* x^172096 mod p(x), x^172032 mod p(x) */
+DATA ·CastConst+1392(SB)/8,$0x00000001ea94929e
+DATA ·CastConst+1400(SB)/8,$0x0000000010ffe206
+
+ /* x^171072 mod p(x), x^171008 mod p(x) */
+DATA ·CastConst+1408(SB)/8,$0x0000000125f4305c
+DATA ·CastConst+1416(SB)/8,$0x000000000fee8f1e
+
+ /* x^170048 mod p(x), x^169984 mod p(x) */
+DATA ·CastConst+1424(SB)/8,$0x00000001471e2002
+DATA ·CastConst+1432(SB)/8,$0x00000001da26fbae
+
+ /* x^169024 mod p(x), x^168960 mod p(x) */
+DATA ·CastConst+1440(SB)/8,$0x0000000132d2253a
+DATA ·CastConst+1448(SB)/8,$0x00000001b3a8bd88
+
+ /* x^168000 mod p(x), x^167936 mod p(x) */
+DATA ·CastConst+1456(SB)/8,$0x00000000f26b3592
+DATA ·CastConst+1464(SB)/8,$0x00000000e8f3898e
+
+ /* x^166976 mod p(x), x^166912 mod p(x) */
+DATA ·CastConst+1472(SB)/8,$0x00000000bc8b67b0
+DATA ·CastConst+1480(SB)/8,$0x00000000b0d0d28c
+
+ /* x^165952 mod p(x), x^165888 mod p(x) */
+DATA ·CastConst+1488(SB)/8,$0x000000013a826ef2
+DATA ·CastConst+1496(SB)/8,$0x0000000030f2a798
+
+ /* x^164928 mod p(x), x^164864 mod p(x) */
+DATA ·CastConst+1504(SB)/8,$0x0000000081482c84
+DATA ·CastConst+1512(SB)/8,$0x000000000fba1002
+
+ /* x^163904 mod p(x), x^163840 mod p(x) */
+DATA ·CastConst+1520(SB)/8,$0x00000000e77307c2
+DATA ·CastConst+1528(SB)/8,$0x00000000bdb9bd72
+
+ /* x^162880 mod p(x), x^162816 mod p(x) */
+DATA ·CastConst+1536(SB)/8,$0x00000000d4a07ec8
+DATA ·CastConst+1544(SB)/8,$0x0000000075d3bf5a
+
+ /* x^161856 mod p(x), x^161792 mod p(x) */
+DATA ·CastConst+1552(SB)/8,$0x0000000017102100
+DATA ·CastConst+1560(SB)/8,$0x00000000ef1f98a0
+
+ /* x^160832 mod p(x), x^160768 mod p(x) */
+DATA ·CastConst+1568(SB)/8,$0x00000000db406486
+DATA ·CastConst+1576(SB)/8,$0x00000000689c7602
+
+ /* x^159808 mod p(x), x^159744 mod p(x) */
+DATA ·CastConst+1584(SB)/8,$0x0000000192db7f88
+DATA ·CastConst+1592(SB)/8,$0x000000016d5fa5fe
+
+ /* x^158784 mod p(x), x^158720 mod p(x) */
+DATA ·CastConst+1600(SB)/8,$0x000000018bf67b1e
+DATA ·CastConst+1608(SB)/8,$0x00000001d0d2b9ca
+
+ /* x^157760 mod p(x), x^157696 mod p(x) */
+DATA ·CastConst+1616(SB)/8,$0x000000007c09163e
+DATA ·CastConst+1624(SB)/8,$0x0000000041e7b470
+
+ /* x^156736 mod p(x), x^156672 mod p(x) */
+DATA ·CastConst+1632(SB)/8,$0x000000000adac060
+DATA ·CastConst+1640(SB)/8,$0x00000001cbb6495e
+
+ /* x^155712 mod p(x), x^155648 mod p(x) */
+DATA ·CastConst+1648(SB)/8,$0x00000000bd8316ae
+DATA ·CastConst+1656(SB)/8,$0x000000010052a0b0
+
+ /* x^154688 mod p(x), x^154624 mod p(x) */
+DATA ·CastConst+1664(SB)/8,$0x000000019f09ab54
+DATA ·CastConst+1672(SB)/8,$0x00000001d8effb5c
+
+ /* x^153664 mod p(x), x^153600 mod p(x) */
+DATA ·CastConst+1680(SB)/8,$0x0000000125155542
+DATA ·CastConst+1688(SB)/8,$0x00000001d969853c
+
+ /* x^152640 mod p(x), x^152576 mod p(x) */
+DATA ·CastConst+1696(SB)/8,$0x000000018fdb5882
+DATA ·CastConst+1704(SB)/8,$0x00000000523ccce2
+
+ /* x^151616 mod p(x), x^151552 mod p(x) */
+DATA ·CastConst+1712(SB)/8,$0x00000000e794b3f4
+DATA ·CastConst+1720(SB)/8,$0x000000001e2436bc
+
+ /* x^150592 mod p(x), x^150528 mod p(x) */
+DATA ·CastConst+1728(SB)/8,$0x000000016f9bb022
+DATA ·CastConst+1736(SB)/8,$0x00000000ddd1c3a2
+
+ /* x^149568 mod p(x), x^149504 mod p(x) */
+DATA ·CastConst+1744(SB)/8,$0x00000000290c9978
+DATA ·CastConst+1752(SB)/8,$0x0000000019fcfe38
+
+ /* x^148544 mod p(x), x^148480 mod p(x) */
+DATA ·CastConst+1760(SB)/8,$0x0000000083c0f350
+DATA ·CastConst+1768(SB)/8,$0x00000001ce95db64
+
+ /* x^147520 mod p(x), x^147456 mod p(x) */
+DATA ·CastConst+1776(SB)/8,$0x0000000173ea6628
+DATA ·CastConst+1784(SB)/8,$0x00000000af582806
+
+ /* x^146496 mod p(x), x^146432 mod p(x) */
+DATA ·CastConst+1792(SB)/8,$0x00000001c8b4e00a
+DATA ·CastConst+1800(SB)/8,$0x00000001006388f6
+
+ /* x^145472 mod p(x), x^145408 mod p(x) */
+DATA ·CastConst+1808(SB)/8,$0x00000000de95d6aa
+DATA ·CastConst+1816(SB)/8,$0x0000000179eca00a
+
+ /* x^144448 mod p(x), x^144384 mod p(x) */
+DATA ·CastConst+1824(SB)/8,$0x000000010b7f7248
+DATA ·CastConst+1832(SB)/8,$0x0000000122410a6a
+
+ /* x^143424 mod p(x), x^143360 mod p(x) */
+DATA ·CastConst+1840(SB)/8,$0x00000001326e3a06
+DATA ·CastConst+1848(SB)/8,$0x000000004288e87c
+
+ /* x^142400 mod p(x), x^142336 mod p(x) */
+DATA ·CastConst+1856(SB)/8,$0x00000000bb62c2e6
+DATA ·CastConst+1864(SB)/8,$0x000000016c5490da
+
+ /* x^141376 mod p(x), x^141312 mod p(x) */
+DATA ·CastConst+1872(SB)/8,$0x0000000156a4b2c2
+DATA ·CastConst+1880(SB)/8,$0x00000000d1c71f6e
+
+ /* x^140352 mod p(x), x^140288 mod p(x) */
+DATA ·CastConst+1888(SB)/8,$0x000000011dfe763a
+DATA ·CastConst+1896(SB)/8,$0x00000001b4ce08a6
+
+ /* x^139328 mod p(x), x^139264 mod p(x) */
+DATA ·CastConst+1904(SB)/8,$0x000000007bcca8e2
+DATA ·CastConst+1912(SB)/8,$0x00000001466ba60c
+
+ /* x^138304 mod p(x), x^138240 mod p(x) */
+DATA ·CastConst+1920(SB)/8,$0x0000000186118faa
+DATA ·CastConst+1928(SB)/8,$0x00000001f6c488a4
+
+ /* x^137280 mod p(x), x^137216 mod p(x) */
+DATA ·CastConst+1936(SB)/8,$0x0000000111a65a88
+DATA ·CastConst+1944(SB)/8,$0x000000013bfb0682
+
+ /* x^136256 mod p(x), x^136192 mod p(x) */
+DATA ·CastConst+1952(SB)/8,$0x000000003565e1c4
+DATA ·CastConst+1960(SB)/8,$0x00000000690e9e54
+
+ /* x^135232 mod p(x), x^135168 mod p(x) */
+DATA ·CastConst+1968(SB)/8,$0x000000012ed02a82
+DATA ·CastConst+1976(SB)/8,$0x00000000281346b6
+
+ /* x^134208 mod p(x), x^134144 mod p(x) */
+DATA ·CastConst+1984(SB)/8,$0x00000000c486ecfc
+DATA ·CastConst+1992(SB)/8,$0x0000000156464024
+
+ /* x^133184 mod p(x), x^133120 mod p(x) */
+DATA ·CastConst+2000(SB)/8,$0x0000000001b951b2
+DATA ·CastConst+2008(SB)/8,$0x000000016063a8dc
+
+ /* x^132160 mod p(x), x^132096 mod p(x) */
+DATA ·CastConst+2016(SB)/8,$0x0000000048143916
+DATA ·CastConst+2024(SB)/8,$0x0000000116a66362
+
+ /* x^131136 mod p(x), x^131072 mod p(x) */
+DATA ·CastConst+2032(SB)/8,$0x00000001dc2ae124
+DATA ·CastConst+2040(SB)/8,$0x000000017e8aa4d2
+
+ /* x^130112 mod p(x), x^130048 mod p(x) */
+DATA ·CastConst+2048(SB)/8,$0x00000001416c58d6
+DATA ·CastConst+2056(SB)/8,$0x00000001728eb10c
+
+ /* x^129088 mod p(x), x^129024 mod p(x) */
+DATA ·CastConst+2064(SB)/8,$0x00000000a479744a
+DATA ·CastConst+2072(SB)/8,$0x00000001b08fd7fa
+
+ /* x^128064 mod p(x), x^128000 mod p(x) */
+DATA ·CastConst+2080(SB)/8,$0x0000000096ca3a26
+DATA ·CastConst+2088(SB)/8,$0x00000001092a16e8
+
+ /* x^127040 mod p(x), x^126976 mod p(x) */
+DATA ·CastConst+2096(SB)/8,$0x00000000ff223d4e
+DATA ·CastConst+2104(SB)/8,$0x00000000a505637c
+
+ /* x^126016 mod p(x), x^125952 mod p(x) */
+DATA ·CastConst+2112(SB)/8,$0x000000010e84da42
+DATA ·CastConst+2120(SB)/8,$0x00000000d94869b2
+
+ /* x^124992 mod p(x), x^124928 mod p(x) */
+DATA ·CastConst+2128(SB)/8,$0x00000001b61ba3d0
+DATA ·CastConst+2136(SB)/8,$0x00000001c8b203ae
+
+ /* x^123968 mod p(x), x^123904 mod p(x) */
+DATA ·CastConst+2144(SB)/8,$0x00000000680f2de8
+DATA ·CastConst+2152(SB)/8,$0x000000005704aea0
+
+ /* x^122944 mod p(x), x^122880 mod p(x) */
+DATA ·CastConst+2160(SB)/8,$0x000000008772a9a8
+DATA ·CastConst+2168(SB)/8,$0x000000012e295fa2
+
+ /* x^121920 mod p(x), x^121856 mod p(x) */
+DATA ·CastConst+2176(SB)/8,$0x0000000155f295bc
+DATA ·CastConst+2184(SB)/8,$0x000000011d0908bc
+
+ /* x^120896 mod p(x), x^120832 mod p(x) */
+DATA ·CastConst+2192(SB)/8,$0x00000000595f9282
+DATA ·CastConst+2200(SB)/8,$0x0000000193ed97ea
+
+ /* x^119872 mod p(x), x^119808 mod p(x) */
+DATA ·CastConst+2208(SB)/8,$0x0000000164b1c25a
+DATA ·CastConst+2216(SB)/8,$0x000000013a0f1c52
+
+ /* x^118848 mod p(x), x^118784 mod p(x) */
+DATA ·CastConst+2224(SB)/8,$0x00000000fbd67c50
+DATA ·CastConst+2232(SB)/8,$0x000000010c2c40c0
+
+ /* x^117824 mod p(x), x^117760 mod p(x) */
+DATA ·CastConst+2240(SB)/8,$0x0000000096076268
+DATA ·CastConst+2248(SB)/8,$0x00000000ff6fac3e
+
+ /* x^116800 mod p(x), x^116736 mod p(x) */
+DATA ·CastConst+2256(SB)/8,$0x00000001d288e4cc
+DATA ·CastConst+2264(SB)/8,$0x000000017b3609c0
+
+ /* x^115776 mod p(x), x^115712 mod p(x) */
+DATA ·CastConst+2272(SB)/8,$0x00000001eaac1bdc
+DATA ·CastConst+2280(SB)/8,$0x0000000088c8c922
+
+ /* x^114752 mod p(x), x^114688 mod p(x) */
+DATA ·CastConst+2288(SB)/8,$0x00000001f1ea39e2
+DATA ·CastConst+2296(SB)/8,$0x00000001751baae6
+
+ /* x^113728 mod p(x), x^113664 mod p(x) */
+DATA ·CastConst+2304(SB)/8,$0x00000001eb6506fc
+DATA ·CastConst+2312(SB)/8,$0x0000000107952972
+
+ /* x^112704 mod p(x), x^112640 mod p(x) */
+DATA ·CastConst+2320(SB)/8,$0x000000010f806ffe
+DATA ·CastConst+2328(SB)/8,$0x0000000162b00abe
+
+ /* x^111680 mod p(x), x^111616 mod p(x) */
+DATA ·CastConst+2336(SB)/8,$0x000000010408481e
+DATA ·CastConst+2344(SB)/8,$0x000000000d7b404c
+
+ /* x^110656 mod p(x), x^110592 mod p(x) */
+DATA ·CastConst+2352(SB)/8,$0x0000000188260534
+DATA ·CastConst+2360(SB)/8,$0x00000000763b13d4
+
+ /* x^109632 mod p(x), x^109568 mod p(x) */
+DATA ·CastConst+2368(SB)/8,$0x0000000058fc73e0
+DATA ·CastConst+2376(SB)/8,$0x00000000f6dc22d8
+
+ /* x^108608 mod p(x), x^108544 mod p(x) */
+DATA ·CastConst+2384(SB)/8,$0x00000000391c59b8
+DATA ·CastConst+2392(SB)/8,$0x000000007daae060
+
+ /* x^107584 mod p(x), x^107520 mod p(x) */
+DATA ·CastConst+2400(SB)/8,$0x000000018b638400
+DATA ·CastConst+2408(SB)/8,$0x000000013359ab7c
+
+ /* x^106560 mod p(x), x^106496 mod p(x) */
+DATA ·CastConst+2416(SB)/8,$0x000000011738f5c4
+DATA ·CastConst+2424(SB)/8,$0x000000008add438a
+
+ /* x^105536 mod p(x), x^105472 mod p(x) */
+DATA ·CastConst+2432(SB)/8,$0x000000008cf7c6da
+DATA ·CastConst+2440(SB)/8,$0x00000001edbefdea
+
+ /* x^104512 mod p(x), x^104448 mod p(x) */
+DATA ·CastConst+2448(SB)/8,$0x00000001ef97fb16
+DATA ·CastConst+2456(SB)/8,$0x000000004104e0f8
+
+ /* x^103488 mod p(x), x^103424 mod p(x) */
+DATA ·CastConst+2464(SB)/8,$0x0000000102130e20
+DATA ·CastConst+2472(SB)/8,$0x00000000b48a8222
+
+ /* x^102464 mod p(x), x^102400 mod p(x) */
+DATA ·CastConst+2480(SB)/8,$0x00000000db968898
+DATA ·CastConst+2488(SB)/8,$0x00000001bcb46844
+
+ /* x^101440 mod p(x), x^101376 mod p(x) */
+DATA ·CastConst+2496(SB)/8,$0x00000000b5047b5e
+DATA ·CastConst+2504(SB)/8,$0x000000013293ce0a
+
+ /* x^100416 mod p(x), x^100352 mod p(x) */
+DATA ·CastConst+2512(SB)/8,$0x000000010b90fdb2
+DATA ·CastConst+2520(SB)/8,$0x00000001710d0844
+
+ /* x^99392 mod p(x), x^99328 mod p(x) */
+DATA ·CastConst+2528(SB)/8,$0x000000004834a32e
+DATA ·CastConst+2536(SB)/8,$0x0000000117907f6e
+
+ /* x^98368 mod p(x), x^98304 mod p(x) */
+DATA ·CastConst+2544(SB)/8,$0x0000000059c8f2b0
+DATA ·CastConst+2552(SB)/8,$0x0000000087ddf93e
+
+ /* x^97344 mod p(x), x^97280 mod p(x) */
+DATA ·CastConst+2560(SB)/8,$0x0000000122cec508
+DATA ·CastConst+2568(SB)/8,$0x000000005970e9b0
+
+ /* x^96320 mod p(x), x^96256 mod p(x) */
+DATA ·CastConst+2576(SB)/8,$0x000000000a330cda
+DATA ·CastConst+2584(SB)/8,$0x0000000185b2b7d0
+
+ /* x^95296 mod p(x), x^95232 mod p(x) */
+DATA ·CastConst+2592(SB)/8,$0x000000014a47148c
+DATA ·CastConst+2600(SB)/8,$0x00000001dcee0efc
+
+ /* x^94272 mod p(x), x^94208 mod p(x) */
+DATA ·CastConst+2608(SB)/8,$0x0000000042c61cb8
+DATA ·CastConst+2616(SB)/8,$0x0000000030da2722
+
+ /* x^93248 mod p(x), x^93184 mod p(x) */
+DATA ·CastConst+2624(SB)/8,$0x0000000012fe6960
+DATA ·CastConst+2632(SB)/8,$0x000000012f925a18
+
+ /* x^92224 mod p(x), x^92160 mod p(x) */
+DATA ·CastConst+2640(SB)/8,$0x00000000dbda2c20
+DATA ·CastConst+2648(SB)/8,$0x00000000dd2e357c
+
+ /* x^91200 mod p(x), x^91136 mod p(x) */
+DATA ·CastConst+2656(SB)/8,$0x000000011122410c
+DATA ·CastConst+2664(SB)/8,$0x00000000071c80de
+
+ /* x^90176 mod p(x), x^90112 mod p(x) */
+DATA ·CastConst+2672(SB)/8,$0x00000000977b2070
+DATA ·CastConst+2680(SB)/8,$0x000000011513140a
+
+ /* x^89152 mod p(x), x^89088 mod p(x) */
+DATA ·CastConst+2688(SB)/8,$0x000000014050438e
+DATA ·CastConst+2696(SB)/8,$0x00000001df876e8e
+
+ /* x^88128 mod p(x), x^88064 mod p(x) */
+DATA ·CastConst+2704(SB)/8,$0x0000000147c840e8
+DATA ·CastConst+2712(SB)/8,$0x000000015f81d6ce
+
+ /* x^87104 mod p(x), x^87040 mod p(x) */
+DATA ·CastConst+2720(SB)/8,$0x00000001cc7c88ce
+DATA ·CastConst+2728(SB)/8,$0x000000019dd94dbe
+
+ /* x^86080 mod p(x), x^86016 mod p(x) */
+DATA ·CastConst+2736(SB)/8,$0x00000001476b35a4
+DATA ·CastConst+2744(SB)/8,$0x00000001373d206e
+
+ /* x^85056 mod p(x), x^84992 mod p(x) */
+DATA ·CastConst+2752(SB)/8,$0x000000013d52d508
+DATA ·CastConst+2760(SB)/8,$0x00000000668ccade
+
+ /* x^84032 mod p(x), x^83968 mod p(x) */
+DATA ·CastConst+2768(SB)/8,$0x000000008e4be32e
+DATA ·CastConst+2776(SB)/8,$0x00000001b192d268
+
+ /* x^83008 mod p(x), x^82944 mod p(x) */
+DATA ·CastConst+2784(SB)/8,$0x00000000024120fe
+DATA ·CastConst+2792(SB)/8,$0x00000000e30f3a78
+
+ /* x^81984 mod p(x), x^81920 mod p(x) */
+DATA ·CastConst+2800(SB)/8,$0x00000000ddecddb4
+DATA ·CastConst+2808(SB)/8,$0x000000010ef1f7bc
+
+ /* x^80960 mod p(x), x^80896 mod p(x) */
+DATA ·CastConst+2816(SB)/8,$0x00000000d4d403bc
+DATA ·CastConst+2824(SB)/8,$0x00000001f5ac7380
+
+ /* x^79936 mod p(x), x^79872 mod p(x) */
+DATA ·CastConst+2832(SB)/8,$0x00000001734b89aa
+DATA ·CastConst+2840(SB)/8,$0x000000011822ea70
+
+ /* x^78912 mod p(x), x^78848 mod p(x) */
+DATA ·CastConst+2848(SB)/8,$0x000000010e7a58d6
+DATA ·CastConst+2856(SB)/8,$0x00000000c3a33848
+
+ /* x^77888 mod p(x), x^77824 mod p(x) */
+DATA ·CastConst+2864(SB)/8,$0x00000001f9f04e9c
+DATA ·CastConst+2872(SB)/8,$0x00000001bd151c24
+
+ /* x^76864 mod p(x), x^76800 mod p(x) */
+DATA ·CastConst+2880(SB)/8,$0x00000000b692225e
+DATA ·CastConst+2888(SB)/8,$0x0000000056002d76
+
+ /* x^75840 mod p(x), x^75776 mod p(x) */
+DATA ·CastConst+2896(SB)/8,$0x000000019b8d3f3e
+DATA ·CastConst+2904(SB)/8,$0x000000014657c4f4
+
+ /* x^74816 mod p(x), x^74752 mod p(x) */
+DATA ·CastConst+2912(SB)/8,$0x00000001a874f11e
+DATA ·CastConst+2920(SB)/8,$0x0000000113742d7c
+
+ /* x^73792 mod p(x), x^73728 mod p(x) */
+DATA ·CastConst+2928(SB)/8,$0x000000010d5a4254
+DATA ·CastConst+2936(SB)/8,$0x000000019c5920ba
+
+ /* x^72768 mod p(x), x^72704 mod p(x) */
+DATA ·CastConst+2944(SB)/8,$0x00000000bbb2f5d6
+DATA ·CastConst+2952(SB)/8,$0x000000005216d2d6
+
+ /* x^71744 mod p(x), x^71680 mod p(x) */
+DATA ·CastConst+2960(SB)/8,$0x0000000179cc0e36
+DATA ·CastConst+2968(SB)/8,$0x0000000136f5ad8a
+
+ /* x^70720 mod p(x), x^70656 mod p(x) */
+DATA ·CastConst+2976(SB)/8,$0x00000001dca1da4a
+DATA ·CastConst+2984(SB)/8,$0x000000018b07beb6
+
+ /* x^69696 mod p(x), x^69632 mod p(x) */
+DATA ·CastConst+2992(SB)/8,$0x00000000feb1a192
+DATA ·CastConst+3000(SB)/8,$0x00000000db1e93b0
+
+ /* x^68672 mod p(x), x^68608 mod p(x) */
+DATA ·CastConst+3008(SB)/8,$0x00000000d1eeedd6
+DATA ·CastConst+3016(SB)/8,$0x000000000b96fa3a
+
+ /* x^67648 mod p(x), x^67584 mod p(x) */
+DATA ·CastConst+3024(SB)/8,$0x000000008fad9bb4
+DATA ·CastConst+3032(SB)/8,$0x00000001d9968af0
+
+ /* x^66624 mod p(x), x^66560 mod p(x) */
+DATA ·CastConst+3040(SB)/8,$0x00000001884938e4
+DATA ·CastConst+3048(SB)/8,$0x000000000e4a77a2
+
+ /* x^65600 mod p(x), x^65536 mod p(x) */
+DATA ·CastConst+3056(SB)/8,$0x00000001bc2e9bc0
+DATA ·CastConst+3064(SB)/8,$0x00000000508c2ac8
+
+ /* x^64576 mod p(x), x^64512 mod p(x) */
+DATA ·CastConst+3072(SB)/8,$0x00000001f9658a68
+DATA ·CastConst+3080(SB)/8,$0x0000000021572a80
+
+ /* x^63552 mod p(x), x^63488 mod p(x) */
+DATA ·CastConst+3088(SB)/8,$0x000000001b9224fc
+DATA ·CastConst+3096(SB)/8,$0x00000001b859daf2
+
+ /* x^62528 mod p(x), x^62464 mod p(x) */
+DATA ·CastConst+3104(SB)/8,$0x0000000055b2fb84
+DATA ·CastConst+3112(SB)/8,$0x000000016f788474
+
+ /* x^61504 mod p(x), x^61440 mod p(x) */
+DATA ·CastConst+3120(SB)/8,$0x000000018b090348
+DATA ·CastConst+3128(SB)/8,$0x00000001b438810e
+
+ /* x^60480 mod p(x), x^60416 mod p(x) */
+DATA ·CastConst+3136(SB)/8,$0x000000011ccbd5ea
+DATA ·CastConst+3144(SB)/8,$0x0000000095ddc6f2
+
+ /* x^59456 mod p(x), x^59392 mod p(x) */
+DATA ·CastConst+3152(SB)/8,$0x0000000007ae47f8
+DATA ·CastConst+3160(SB)/8,$0x00000001d977c20c
+
+ /* x^58432 mod p(x), x^58368 mod p(x) */
+DATA ·CastConst+3168(SB)/8,$0x0000000172acbec0
+DATA ·CastConst+3176(SB)/8,$0x00000000ebedb99a
+
+ /* x^57408 mod p(x), x^57344 mod p(x) */
+DATA ·CastConst+3184(SB)/8,$0x00000001c6e3ff20
+DATA ·CastConst+3192(SB)/8,$0x00000001df9e9e92
+
+ /* x^56384 mod p(x), x^56320 mod p(x) */
+DATA ·CastConst+3200(SB)/8,$0x00000000e1b38744
+DATA ·CastConst+3208(SB)/8,$0x00000001a4a3f952
+
+ /* x^55360 mod p(x), x^55296 mod p(x) */
+DATA ·CastConst+3216(SB)/8,$0x00000000791585b2
+DATA ·CastConst+3224(SB)/8,$0x00000000e2f51220
+
+ /* x^54336 mod p(x), x^54272 mod p(x) */
+DATA ·CastConst+3232(SB)/8,$0x00000000ac53b894
+DATA ·CastConst+3240(SB)/8,$0x000000004aa01f3e
+
+ /* x^53312 mod p(x), x^53248 mod p(x) */
+DATA ·CastConst+3248(SB)/8,$0x00000001ed5f2cf4
+DATA ·CastConst+3256(SB)/8,$0x00000000b3e90a58
+
+ /* x^52288 mod p(x), x^52224 mod p(x) */
+DATA ·CastConst+3264(SB)/8,$0x00000001df48b2e0
+DATA ·CastConst+3272(SB)/8,$0x000000000c9ca2aa
+
+ /* x^51264 mod p(x), x^51200 mod p(x) */
+DATA ·CastConst+3280(SB)/8,$0x00000000049c1c62
+DATA ·CastConst+3288(SB)/8,$0x0000000151682316
+
+ /* x^50240 mod p(x), x^50176 mod p(x) */
+DATA ·CastConst+3296(SB)/8,$0x000000017c460c12
+DATA ·CastConst+3304(SB)/8,$0x0000000036fce78c
+
+ /* x^49216 mod p(x), x^49152 mod p(x) */
+DATA ·CastConst+3312(SB)/8,$0x000000015be4da7e
+DATA ·CastConst+3320(SB)/8,$0x000000009037dc10
+
+ /* x^48192 mod p(x), x^48128 mod p(x) */
+DATA ·CastConst+3328(SB)/8,$0x000000010f38f668
+DATA ·CastConst+3336(SB)/8,$0x00000000d3298582
+
+ /* x^47168 mod p(x), x^47104 mod p(x) */
+DATA ·CastConst+3344(SB)/8,$0x0000000039f40a00
+DATA ·CastConst+3352(SB)/8,$0x00000001b42e8ad6
+
+ /* x^46144 mod p(x), x^46080 mod p(x) */
+DATA ·CastConst+3360(SB)/8,$0x00000000bd4c10c4
+DATA ·CastConst+3368(SB)/8,$0x00000000142a9838
+
+ /* x^45120 mod p(x), x^45056 mod p(x) */
+DATA ·CastConst+3376(SB)/8,$0x0000000042db1d98
+DATA ·CastConst+3384(SB)/8,$0x0000000109c7f190
+
+ /* x^44096 mod p(x), x^44032 mod p(x) */
+DATA ·CastConst+3392(SB)/8,$0x00000001c905bae6
+DATA ·CastConst+3400(SB)/8,$0x0000000056ff9310
+
+ /* x^43072 mod p(x), x^43008 mod p(x) */
+DATA ·CastConst+3408(SB)/8,$0x00000000069d40ea
+DATA ·CastConst+3416(SB)/8,$0x00000001594513aa
+
+ /* x^42048 mod p(x), x^41984 mod p(x) */
+DATA ·CastConst+3424(SB)/8,$0x000000008e4fbad0
+DATA ·CastConst+3432(SB)/8,$0x00000001e3b5b1e8
+
+ /* x^41024 mod p(x), x^40960 mod p(x) */
+DATA ·CastConst+3440(SB)/8,$0x0000000047bedd46
+DATA ·CastConst+3448(SB)/8,$0x000000011dd5fc08
+
+ /* x^40000 mod p(x), x^39936 mod p(x) */
+DATA ·CastConst+3456(SB)/8,$0x0000000026396bf8
+DATA ·CastConst+3464(SB)/8,$0x00000001675f0cc2
+
+ /* x^38976 mod p(x), x^38912 mod p(x) */
+DATA ·CastConst+3472(SB)/8,$0x00000000379beb92
+DATA ·CastConst+3480(SB)/8,$0x00000000d1c8dd44
+
+ /* x^37952 mod p(x), x^37888 mod p(x) */
+DATA ·CastConst+3488(SB)/8,$0x000000000abae54a
+DATA ·CastConst+3496(SB)/8,$0x0000000115ebd3d8
+
+ /* x^36928 mod p(x), x^36864 mod p(x) */
+DATA ·CastConst+3504(SB)/8,$0x0000000007e6a128
+DATA ·CastConst+3512(SB)/8,$0x00000001ecbd0dac
+
+ /* x^35904 mod p(x), x^35840 mod p(x) */
+DATA ·CastConst+3520(SB)/8,$0x000000000ade29d2
+DATA ·CastConst+3528(SB)/8,$0x00000000cdf67af2
+
+ /* x^34880 mod p(x), x^34816 mod p(x) */
+DATA ·CastConst+3536(SB)/8,$0x00000000f974c45c
+DATA ·CastConst+3544(SB)/8,$0x000000004c01ff4c
+
+ /* x^33856 mod p(x), x^33792 mod p(x) */
+DATA ·CastConst+3552(SB)/8,$0x00000000e77ac60a
+DATA ·CastConst+3560(SB)/8,$0x00000000f2d8657e
+
+ /* x^32832 mod p(x), x^32768 mod p(x) */
+DATA ·CastConst+3568(SB)/8,$0x0000000145895816
+DATA ·CastConst+3576(SB)/8,$0x000000006bae74c4
+
+ /* x^31808 mod p(x), x^31744 mod p(x) */
+DATA ·CastConst+3584(SB)/8,$0x0000000038e362be
+DATA ·CastConst+3592(SB)/8,$0x0000000152af8aa0
+
+ /* x^30784 mod p(x), x^30720 mod p(x) */
+DATA ·CastConst+3600(SB)/8,$0x000000007f991a64
+DATA ·CastConst+3608(SB)/8,$0x0000000004663802
+
+ /* x^29760 mod p(x), x^29696 mod p(x) */
+DATA ·CastConst+3616(SB)/8,$0x00000000fa366d3a
+DATA ·CastConst+3624(SB)/8,$0x00000001ab2f5afc
+
+ /* x^28736 mod p(x), x^28672 mod p(x) */
+DATA ·CastConst+3632(SB)/8,$0x00000001a2bb34f0
+DATA ·CastConst+3640(SB)/8,$0x0000000074a4ebd4
+
+ /* x^27712 mod p(x), x^27648 mod p(x) */
+DATA ·CastConst+3648(SB)/8,$0x0000000028a9981e
+DATA ·CastConst+3656(SB)/8,$0x00000001d7ab3a4c
+
+ /* x^26688 mod p(x), x^26624 mod p(x) */
+DATA ·CastConst+3664(SB)/8,$0x00000001dbc672be
+DATA ·CastConst+3672(SB)/8,$0x00000001a8da60c6
+
+ /* x^25664 mod p(x), x^25600 mod p(x) */
+DATA ·CastConst+3680(SB)/8,$0x00000000b04d77f6
+DATA ·CastConst+3688(SB)/8,$0x000000013cf63820
+
+ /* x^24640 mod p(x), x^24576 mod p(x) */
+DATA ·CastConst+3696(SB)/8,$0x0000000124400d96
+DATA ·CastConst+3704(SB)/8,$0x00000000bec12e1e
+
+ /* x^23616 mod p(x), x^23552 mod p(x) */
+DATA ·CastConst+3712(SB)/8,$0x000000014ca4b414
+DATA ·CastConst+3720(SB)/8,$0x00000001c6368010
+
+ /* x^22592 mod p(x), x^22528 mod p(x) */
+DATA ·CastConst+3728(SB)/8,$0x000000012fe2c938
+DATA ·CastConst+3736(SB)/8,$0x00000001e6e78758
+
+ /* x^21568 mod p(x), x^21504 mod p(x) */
+DATA ·CastConst+3744(SB)/8,$0x00000001faed01e6
+DATA ·CastConst+3752(SB)/8,$0x000000008d7f2b3c
+
+ /* x^20544 mod p(x), x^20480 mod p(x) */
+DATA ·CastConst+3760(SB)/8,$0x000000007e80ecfe
+DATA ·CastConst+3768(SB)/8,$0x000000016b4a156e
+
+ /* x^19520 mod p(x), x^19456 mod p(x) */
+DATA ·CastConst+3776(SB)/8,$0x0000000098daee94
+DATA ·CastConst+3784(SB)/8,$0x00000001c63cfeb6
+
+ /* x^18496 mod p(x), x^18432 mod p(x) */
+DATA ·CastConst+3792(SB)/8,$0x000000010a04edea
+DATA ·CastConst+3800(SB)/8,$0x000000015f902670
+
+ /* x^17472 mod p(x), x^17408 mod p(x) */
+DATA ·CastConst+3808(SB)/8,$0x00000001c00b4524
+DATA ·CastConst+3816(SB)/8,$0x00000001cd5de11e
+
+ /* x^16448 mod p(x), x^16384 mod p(x) */
+DATA ·CastConst+3824(SB)/8,$0x0000000170296550
+DATA ·CastConst+3832(SB)/8,$0x000000001acaec54
+
+ /* x^15424 mod p(x), x^15360 mod p(x) */
+DATA ·CastConst+3840(SB)/8,$0x0000000181afaa48
+DATA ·CastConst+3848(SB)/8,$0x000000002bd0ca78
+
+ /* x^14400 mod p(x), x^14336 mod p(x) */
+DATA ·CastConst+3856(SB)/8,$0x0000000185a31ffa
+DATA ·CastConst+3864(SB)/8,$0x0000000032d63d5c
+
+ /* x^13376 mod p(x), x^13312 mod p(x) */
+DATA ·CastConst+3872(SB)/8,$0x000000002469f608
+DATA ·CastConst+3880(SB)/8,$0x000000001c6d4e4c
+
+ /* x^12352 mod p(x), x^12288 mod p(x) */
+DATA ·CastConst+3888(SB)/8,$0x000000006980102a
+DATA ·CastConst+3896(SB)/8,$0x0000000106a60b92
+
+ /* x^11328 mod p(x), x^11264 mod p(x) */
+DATA ·CastConst+3904(SB)/8,$0x0000000111ea9ca8
+DATA ·CastConst+3912(SB)/8,$0x00000000d3855e12
+
+ /* x^10304 mod p(x), x^10240 mod p(x) */
+DATA ·CastConst+3920(SB)/8,$0x00000001bd1d29ce
+DATA ·CastConst+3928(SB)/8,$0x00000000e3125636
+
+ /* x^9280 mod p(x), x^9216 mod p(x) */
+DATA ·CastConst+3936(SB)/8,$0x00000001b34b9580
+DATA ·CastConst+3944(SB)/8,$0x000000009e8f7ea4
+
+ /* x^8256 mod p(x), x^8192 mod p(x) */
+DATA ·CastConst+3952(SB)/8,$0x000000003076054e
+DATA ·CastConst+3960(SB)/8,$0x00000001c82e562c
+
+ /* x^7232 mod p(x), x^7168 mod p(x) */
+DATA ·CastConst+3968(SB)/8,$0x000000012a608ea4
+DATA ·CastConst+3976(SB)/8,$0x00000000ca9f09ce
+
+ /* x^6208 mod p(x), x^6144 mod p(x) */
+DATA ·CastConst+3984(SB)/8,$0x00000000784d05fe
+DATA ·CastConst+3992(SB)/8,$0x00000000c63764e6
+
+ /* x^5184 mod p(x), x^5120 mod p(x) */
+DATA ·CastConst+4000(SB)/8,$0x000000016ef0d82a
+DATA ·CastConst+4008(SB)/8,$0x0000000168d2e49e
+
+ /* x^4160 mod p(x), x^4096 mod p(x) */
+DATA ·CastConst+4016(SB)/8,$0x0000000075bda454
+DATA ·CastConst+4024(SB)/8,$0x00000000e986c148
+
+ /* x^3136 mod p(x), x^3072 mod p(x) */
+DATA ·CastConst+4032(SB)/8,$0x000000003dc0a1c4
+DATA ·CastConst+4040(SB)/8,$0x00000000cfb65894
+
+ /* x^2112 mod p(x), x^2048 mod p(x) */
+DATA ·CastConst+4048(SB)/8,$0x00000000e9a5d8be
+DATA ·CastConst+4056(SB)/8,$0x0000000111cadee4
+
+ /* x^1088 mod p(x), x^1024 mod p(x) */
+DATA ·CastConst+4064(SB)/8,$0x00000001609bc4b4
+DATA ·CastConst+4072(SB)/8,$0x0000000171fb63ce
+
+ /* x^2048 mod p(x), x^2016 mod p(x), x^1984 mod p(x), x^1952 mod p(x) */
+DATA ·CastConst+4080(SB)/8,$0x5cf015c388e56f72
+DATA ·CastConst+4088(SB)/8,$0x7fec2963e5bf8048
+
+ /* x^1920 mod p(x), x^1888 mod p(x), x^1856 mod p(x), x^1824 mod p(x) */
+DATA ·CastConst+4096(SB)/8,$0x963a18920246e2e6
+DATA ·CastConst+4104(SB)/8,$0x38e888d4844752a9
+
+ /* x^1792 mod p(x), x^1760 mod p(x), x^1728 mod p(x), x^1696 mod p(x) */
+DATA ·CastConst+4112(SB)/8,$0x419a441956993a31
+DATA ·CastConst+4120(SB)/8,$0x42316c00730206ad
+
+ /* x^1664 mod p(x), x^1632 mod p(x), x^1600 mod p(x), x^1568 mod p(x) */
+DATA ·CastConst+4128(SB)/8,$0x924752ba2b830011
+DATA ·CastConst+4136(SB)/8,$0x543d5c543e65ddf9
+
+ /* x^1536 mod p(x), x^1504 mod p(x), x^1472 mod p(x), x^1440 mod p(x) */
+DATA ·CastConst+4144(SB)/8,$0x55bd7f9518e4a304
+DATA ·CastConst+4152(SB)/8,$0x78e87aaf56767c92
+
+ /* x^1408 mod p(x), x^1376 mod p(x), x^1344 mod p(x), x^1312 mod p(x) */
+DATA ·CastConst+4160(SB)/8,$0x6d76739fe0553f1e
+DATA ·CastConst+4168(SB)/8,$0x8f68fcec1903da7f
+
+ /* x^1280 mod p(x), x^1248 mod p(x), x^1216 mod p(x), x^1184 mod p(x) */
+DATA ·CastConst+4176(SB)/8,$0xc133722b1fe0b5c3
+DATA ·CastConst+4184(SB)/8,$0x3f4840246791d588
+
+ /* x^1152 mod p(x), x^1120 mod p(x), x^1088 mod p(x), x^1056 mod p(x) */
+DATA ·CastConst+4192(SB)/8,$0x64b67ee0e55ef1f3
+DATA ·CastConst+4200(SB)/8,$0x34c96751b04de25a
+
+ /* x^1024 mod p(x), x^992 mod p(x), x^960 mod p(x), x^928 mod p(x) */
+DATA ·CastConst+4208(SB)/8,$0x069db049b8fdb1e7
+DATA ·CastConst+4216(SB)/8,$0x156c8e180b4a395b
+
+ /* x^896 mod p(x), x^864 mod p(x), x^832 mod p(x), x^800 mod p(x) */
+DATA ·CastConst+4224(SB)/8,$0xa11bfaf3c9e90b9e
+DATA ·CastConst+4232(SB)/8,$0xe0b99ccbe661f7be
+
+ /* x^768 mod p(x), x^736 mod p(x), x^704 mod p(x), x^672 mod p(x) */
+DATA ·CastConst+4240(SB)/8,$0x817cdc5119b29a35
+DATA ·CastConst+4248(SB)/8,$0x041d37768cd75659
+
+ /* x^640 mod p(x), x^608 mod p(x), x^576 mod p(x), x^544 mod p(x) */
+DATA ·CastConst+4256(SB)/8,$0x1ce9d94b36c41f1c
+DATA ·CastConst+4264(SB)/8,$0x3a0777818cfaa965
+
+ /* x^512 mod p(x), x^480 mod p(x), x^448 mod p(x), x^416 mod p(x) */
+DATA ·CastConst+4272(SB)/8,$0x4f256efcb82be955
+DATA ·CastConst+4280(SB)/8,$0x0e148e8252377a55
+
+ /* x^384 mod p(x), x^352 mod p(x), x^320 mod p(x), x^288 mod p(x) */
+DATA ·CastConst+4288(SB)/8,$0xec1631edb2dea967
+DATA ·CastConst+4296(SB)/8,$0x9c25531d19e65dde
+
+ /* x^256 mod p(x), x^224 mod p(x), x^192 mod p(x), x^160 mod p(x) */
+DATA ·CastConst+4304(SB)/8,$0x5d27e147510ac59a
+DATA ·CastConst+4312(SB)/8,$0x790606ff9957c0a6
+
+ /* x^128 mod p(x), x^96 mod p(x), x^64 mod p(x), x^32 mod p(x) */
+DATA ·CastConst+4320(SB)/8,$0xa66805eb18b8ea18
+DATA ·CastConst+4328(SB)/8,$0x82f63b786ea2d55c
+
+GLOBL ·CastConst(SB),RODATA,$4336
+
+ /* Barrett constant m - (4^32)/n */
+DATA ·CastBarConst(SB)/8,$0x00000000dea713f1
+DATA ·CastBarConst+8(SB)/8,$0x0000000000000000
+DATA ·CastBarConst+16(SB)/8,$0x0000000105ec76f1
+DATA ·CastBarConst+24(SB)/8,$0x0000000000000000
+GLOBL ·CastBarConst(SB),RODATA,$32
+
+ /* Reduce 262144 kbits to 1024 bits */
+ /* x^261184 mod p(x), x^261120 mod p(x) */
+DATA ·KoopConst+0(SB)/8,$0x00000000d72535b2
+DATA ·KoopConst+8(SB)/8,$0x000000007fd74916
+
+ /* x^260160 mod p(x), x^260096 mod p(x) */
+DATA ·KoopConst+16(SB)/8,$0x0000000118a2a1b4
+DATA ·KoopConst+24(SB)/8,$0x000000010e944b56
+
+ /* x^259136 mod p(x), x^259072 mod p(x) */
+DATA ·KoopConst+32(SB)/8,$0x0000000147b5c49c
+DATA ·KoopConst+40(SB)/8,$0x00000000bfe71c20
+
+ /* x^258112 mod p(x), x^258048 mod p(x) */
+DATA ·KoopConst+48(SB)/8,$0x00000001ca76a040
+DATA ·KoopConst+56(SB)/8,$0x0000000021324d9a
+
+ /* x^257088 mod p(x), x^257024 mod p(x) */
+DATA ·KoopConst+64(SB)/8,$0x00000001e3152efc
+DATA ·KoopConst+72(SB)/8,$0x00000000d20972ce
+
+ /* x^256064 mod p(x), x^256000 mod p(x) */
+DATA ·KoopConst+80(SB)/8,$0x00000001b0349792
+DATA ·KoopConst+88(SB)/8,$0x000000003475ea06
+
+ /* x^255040 mod p(x), x^254976 mod p(x) */
+DATA ·KoopConst+96(SB)/8,$0x0000000120a60fe0
+DATA ·KoopConst+104(SB)/8,$0x00000001e40e36c4
+
+ /* x^254016 mod p(x), x^253952 mod p(x) */
+DATA ·KoopConst+112(SB)/8,$0x00000000b3c4b082
+DATA ·KoopConst+120(SB)/8,$0x00000000b2490102
+
+ /* x^252992 mod p(x), x^252928 mod p(x) */
+DATA ·KoopConst+128(SB)/8,$0x000000017fe9f3d2
+DATA ·KoopConst+136(SB)/8,$0x000000016b9e1332
+
+ /* x^251968 mod p(x), x^251904 mod p(x) */
+DATA ·KoopConst+144(SB)/8,$0x0000000145703cbe
+DATA ·KoopConst+152(SB)/8,$0x00000001d6c378f4
+
+ /* x^250944 mod p(x), x^250880 mod p(x) */
+DATA ·KoopConst+160(SB)/8,$0x0000000107551c9c
+DATA ·KoopConst+168(SB)/8,$0x0000000085796eac
+
+ /* x^249920 mod p(x), x^249856 mod p(x) */
+DATA ·KoopConst+176(SB)/8,$0x000000003865a702
+DATA ·KoopConst+184(SB)/8,$0x000000019d2f3aaa
+
+ /* x^248896 mod p(x), x^248832 mod p(x) */
+DATA ·KoopConst+192(SB)/8,$0x000000005504f9b8
+DATA ·KoopConst+200(SB)/8,$0x00000001554ddbd4
+
+ /* x^247872 mod p(x), x^247808 mod p(x) */
+DATA ·KoopConst+208(SB)/8,$0x00000000239bcdd4
+DATA ·KoopConst+216(SB)/8,$0x00000000a76376b0
+
+ /* x^246848 mod p(x), x^246784 mod p(x) */
+DATA ·KoopConst+224(SB)/8,$0x00000000caead774
+DATA ·KoopConst+232(SB)/8,$0x0000000139b7283c
+
+ /* x^245824 mod p(x), x^245760 mod p(x) */
+DATA ·KoopConst+240(SB)/8,$0x0000000022a3fa16
+DATA ·KoopConst+248(SB)/8,$0x0000000111087030
+
+ /* x^244800 mod p(x), x^244736 mod p(x) */
+DATA ·KoopConst+256(SB)/8,$0x000000011f89160e
+DATA ·KoopConst+264(SB)/8,$0x00000000ad786dc2
+
+ /* x^243776 mod p(x), x^243712 mod p(x) */
+DATA ·KoopConst+272(SB)/8,$0x00000001a976c248
+DATA ·KoopConst+280(SB)/8,$0x00000000b7a1d068
+
+ /* x^242752 mod p(x), x^242688 mod p(x) */
+DATA ·KoopConst+288(SB)/8,$0x00000000c20d09c8
+DATA ·KoopConst+296(SB)/8,$0x000000009c5c591c
+
+ /* x^241728 mod p(x), x^241664 mod p(x) */
+DATA ·KoopConst+304(SB)/8,$0x000000016264fe38
+DATA ·KoopConst+312(SB)/8,$0x000000016482aa1a
+
+ /* x^240704 mod p(x), x^240640 mod p(x) */
+DATA ·KoopConst+320(SB)/8,$0x00000001b57aee6a
+DATA ·KoopConst+328(SB)/8,$0x000000009a409ba8
+
+ /* x^239680 mod p(x), x^239616 mod p(x) */
+DATA ·KoopConst+336(SB)/8,$0x00000000e8f1be0a
+DATA ·KoopConst+344(SB)/8,$0x00000001ad8eaed8
+
+ /* x^238656 mod p(x), x^238592 mod p(x) */
+DATA ·KoopConst+352(SB)/8,$0x0000000053fcd0fc
+DATA ·KoopConst+360(SB)/8,$0x000000017558b57a
+
+ /* x^237632 mod p(x), x^237568 mod p(x) */
+DATA ·KoopConst+368(SB)/8,$0x000000012df9d496
+DATA ·KoopConst+376(SB)/8,$0x00000000cbb749c8
+
+ /* x^236608 mod p(x), x^236544 mod p(x) */
+DATA ·KoopConst+384(SB)/8,$0x000000004cb0db26
+DATA ·KoopConst+392(SB)/8,$0x000000008524fc5a
+
+ /* x^235584 mod p(x), x^235520 mod p(x) */
+DATA ·KoopConst+400(SB)/8,$0x00000001150c4584
+DATA ·KoopConst+408(SB)/8,$0x0000000028ce6b76
+
+ /* x^234560 mod p(x), x^234496 mod p(x) */
+DATA ·KoopConst+416(SB)/8,$0x0000000104f52056
+DATA ·KoopConst+424(SB)/8,$0x00000000e0c48bdc
+
+ /* x^233536 mod p(x), x^233472 mod p(x) */
+DATA ·KoopConst+432(SB)/8,$0x000000008ea11ac8
+DATA ·KoopConst+440(SB)/8,$0x000000003dd3bf9a
+
+ /* x^232512 mod p(x), x^232448 mod p(x) */
+DATA ·KoopConst+448(SB)/8,$0x00000001cc0a3942
+DATA ·KoopConst+456(SB)/8,$0x00000000cb71066c
+
+ /* x^231488 mod p(x), x^231424 mod p(x) */
+DATA ·KoopConst+464(SB)/8,$0x00000000d26231e6
+DATA ·KoopConst+472(SB)/8,$0x00000001d4ee1540
+
+ /* x^230464 mod p(x), x^230400 mod p(x) */
+DATA ·KoopConst+480(SB)/8,$0x00000000c70d5730
+DATA ·KoopConst+488(SB)/8,$0x00000001d82bed0a
+
+ /* x^229440 mod p(x), x^229376 mod p(x) */
+DATA ·KoopConst+496(SB)/8,$0x00000000e215dfc4
+DATA ·KoopConst+504(SB)/8,$0x000000016e0c7d86
+
+ /* x^228416 mod p(x), x^228352 mod p(x) */
+DATA ·KoopConst+512(SB)/8,$0x000000013870d0dc
+DATA ·KoopConst+520(SB)/8,$0x00000001437051b0
+
+ /* x^227392 mod p(x), x^227328 mod p(x) */
+DATA ·KoopConst+528(SB)/8,$0x0000000153e4cf3c
+DATA ·KoopConst+536(SB)/8,$0x00000000f9a8d4be
+
+ /* x^226368 mod p(x), x^226304 mod p(x) */
+DATA ·KoopConst+544(SB)/8,$0x0000000125f6fdf0
+DATA ·KoopConst+552(SB)/8,$0x000000016b09be1c
+
+ /* x^225344 mod p(x), x^225280 mod p(x) */
+DATA ·KoopConst+560(SB)/8,$0x0000000157ba3a82
+DATA ·KoopConst+568(SB)/8,$0x0000000105f50ed6
+
+ /* x^224320 mod p(x), x^224256 mod p(x) */
+DATA ·KoopConst+576(SB)/8,$0x00000001cf711064
+DATA ·KoopConst+584(SB)/8,$0x00000001ca7fe3cc
+
+ /* x^223296 mod p(x), x^223232 mod p(x) */
+DATA ·KoopConst+592(SB)/8,$0x00000001006353d2
+DATA ·KoopConst+600(SB)/8,$0x0000000192372e78
+
+ /* x^222272 mod p(x), x^222208 mod p(x) */
+DATA ·KoopConst+608(SB)/8,$0x000000010cd9faec
+DATA ·KoopConst+616(SB)/8,$0x000000008a47af7e
+
+ /* x^221248 mod p(x), x^221184 mod p(x) */
+DATA ·KoopConst+624(SB)/8,$0x000000012148b190
+DATA ·KoopConst+632(SB)/8,$0x00000000a67473e8
+
+ /* x^220224 mod p(x), x^220160 mod p(x) */
+DATA ·KoopConst+640(SB)/8,$0x00000000776473d6
+DATA ·KoopConst+648(SB)/8,$0x000000013689f2fa
+
+ /* x^219200 mod p(x), x^219136 mod p(x) */
+DATA ·KoopConst+656(SB)/8,$0x00000001ce765bd6
+DATA ·KoopConst+664(SB)/8,$0x00000000e7231774
+
+ /* x^218176 mod p(x), x^218112 mod p(x) */
+DATA ·KoopConst+672(SB)/8,$0x00000000b29165e8
+DATA ·KoopConst+680(SB)/8,$0x0000000011b5ae68
+
+ /* x^217152 mod p(x), x^217088 mod p(x) */
+DATA ·KoopConst+688(SB)/8,$0x0000000084ff5a68
+DATA ·KoopConst+696(SB)/8,$0x000000004fd5c188
+
+ /* x^216128 mod p(x), x^216064 mod p(x) */
+DATA ·KoopConst+704(SB)/8,$0x00000001921e9076
+DATA ·KoopConst+712(SB)/8,$0x000000012148fa22
+
+ /* x^215104 mod p(x), x^215040 mod p(x) */
+DATA ·KoopConst+720(SB)/8,$0x000000009a753a3c
+DATA ·KoopConst+728(SB)/8,$0x000000010cff4f3e
+
+ /* x^214080 mod p(x), x^214016 mod p(x) */
+DATA ·KoopConst+736(SB)/8,$0x000000000251401e
+DATA ·KoopConst+744(SB)/8,$0x00000001f9d991d4
+
+ /* x^213056 mod p(x), x^212992 mod p(x) */
+DATA ·KoopConst+752(SB)/8,$0x00000001f65541fa
+DATA ·KoopConst+760(SB)/8,$0x00000001c31db214
+
+ /* x^212032 mod p(x), x^211968 mod p(x) */
+DATA ·KoopConst+768(SB)/8,$0x00000001d8c8117a
+DATA ·KoopConst+776(SB)/8,$0x00000001849fba4a
+
+ /* x^211008 mod p(x), x^210944 mod p(x) */
+DATA ·KoopConst+784(SB)/8,$0x000000014f7a2200
+DATA ·KoopConst+792(SB)/8,$0x00000001cb603184
+
+ /* x^209984 mod p(x), x^209920 mod p(x) */
+DATA ·KoopConst+800(SB)/8,$0x000000005154a9f4
+DATA ·KoopConst+808(SB)/8,$0x0000000132db7116
+
+ /* x^208960 mod p(x), x^208896 mod p(x) */
+DATA ·KoopConst+816(SB)/8,$0x00000001dfc69196
+DATA ·KoopConst+824(SB)/8,$0x0000000010694e22
+
+ /* x^207936 mod p(x), x^207872 mod p(x) */
+DATA ·KoopConst+832(SB)/8,$0x00000001c29f1aa0
+DATA ·KoopConst+840(SB)/8,$0x0000000103b7b478
+
+ /* x^206912 mod p(x), x^206848 mod p(x) */
+DATA ·KoopConst+848(SB)/8,$0x000000013785f232
+DATA ·KoopConst+856(SB)/8,$0x000000000ab44030
+
+ /* x^205888 mod p(x), x^205824 mod p(x) */
+DATA ·KoopConst+864(SB)/8,$0x000000010133536e
+DATA ·KoopConst+872(SB)/8,$0x0000000131385b68
+
+ /* x^204864 mod p(x), x^204800 mod p(x) */
+DATA ·KoopConst+880(SB)/8,$0x00000001d45421dc
+DATA ·KoopConst+888(SB)/8,$0x00000001761dab66
+
+ /* x^203840 mod p(x), x^203776 mod p(x) */
+DATA ·KoopConst+896(SB)/8,$0x000000000b59cc28
+DATA ·KoopConst+904(SB)/8,$0x000000012cf0a2a6
+
+ /* x^202816 mod p(x), x^202752 mod p(x) */
+DATA ·KoopConst+912(SB)/8,$0x00000001f2f74aba
+DATA ·KoopConst+920(SB)/8,$0x00000001f4ce25a2
+
+ /* x^201792 mod p(x), x^201728 mod p(x) */
+DATA ·KoopConst+928(SB)/8,$0x00000000fb308e7e
+DATA ·KoopConst+936(SB)/8,$0x000000014c2aae20
+
+ /* x^200768 mod p(x), x^200704 mod p(x) */
+DATA ·KoopConst+944(SB)/8,$0x0000000167583fa6
+DATA ·KoopConst+952(SB)/8,$0x00000001c162a55a
+
+ /* x^199744 mod p(x), x^199680 mod p(x) */
+DATA ·KoopConst+960(SB)/8,$0x000000017ebb13e0
+DATA ·KoopConst+968(SB)/8,$0x0000000185681a40
+
+ /* x^198720 mod p(x), x^198656 mod p(x) */
+DATA ·KoopConst+976(SB)/8,$0x00000001ca653306
+DATA ·KoopConst+984(SB)/8,$0x00000001f2642b48
+
+ /* x^197696 mod p(x), x^197632 mod p(x) */
+DATA ·KoopConst+992(SB)/8,$0x0000000093bb6946
+DATA ·KoopConst+1000(SB)/8,$0x00000001d9cb5a78
+
+ /* x^196672 mod p(x), x^196608 mod p(x) */
+DATA ·KoopConst+1008(SB)/8,$0x00000000cbc1553e
+DATA ·KoopConst+1016(SB)/8,$0x000000008059328c
+
+ /* x^195648 mod p(x), x^195584 mod p(x) */
+DATA ·KoopConst+1024(SB)/8,$0x00000001f9a86fec
+DATA ·KoopConst+1032(SB)/8,$0x000000009373c360
+
+ /* x^194624 mod p(x), x^194560 mod p(x) */
+DATA ·KoopConst+1040(SB)/8,$0x0000000005c52d8a
+DATA ·KoopConst+1048(SB)/8,$0x00000001a14061d6
+
+ /* x^193600 mod p(x), x^193536 mod p(x) */
+DATA ·KoopConst+1056(SB)/8,$0x000000010d8dc668
+DATA ·KoopConst+1064(SB)/8,$0x00000000a9864d48
+
+ /* x^192576 mod p(x), x^192512 mod p(x) */
+DATA ·KoopConst+1072(SB)/8,$0x0000000158571310
+DATA ·KoopConst+1080(SB)/8,$0x000000011df8c040
+
+ /* x^191552 mod p(x), x^191488 mod p(x) */
+DATA ·KoopConst+1088(SB)/8,$0x0000000166102348
+DATA ·KoopConst+1096(SB)/8,$0x0000000023a3e6b6
+
+ /* x^190528 mod p(x), x^190464 mod p(x) */
+DATA ·KoopConst+1104(SB)/8,$0x0000000009513050
+DATA ·KoopConst+1112(SB)/8,$0x00000001207db28a
+
+ /* x^189504 mod p(x), x^189440 mod p(x) */
+DATA ·KoopConst+1120(SB)/8,$0x00000000b0725c74
+DATA ·KoopConst+1128(SB)/8,$0x00000000f94bc632
+
+ /* x^188480 mod p(x), x^188416 mod p(x) */
+DATA ·KoopConst+1136(SB)/8,$0x000000002985c7e2
+DATA ·KoopConst+1144(SB)/8,$0x00000000ea32cbf6
+
+ /* x^187456 mod p(x), x^187392 mod p(x) */
+DATA ·KoopConst+1152(SB)/8,$0x00000000a7d4da9e
+DATA ·KoopConst+1160(SB)/8,$0x0000000004eb981a
+
+ /* x^186432 mod p(x), x^186368 mod p(x) */
+DATA ·KoopConst+1168(SB)/8,$0x000000000a3f8792
+DATA ·KoopConst+1176(SB)/8,$0x00000000ca8ce712
+
+ /* x^185408 mod p(x), x^185344 mod p(x) */
+DATA ·KoopConst+1184(SB)/8,$0x00000001ca2c1ce4
+DATA ·KoopConst+1192(SB)/8,$0x0000000065ba801c
+
+ /* x^184384 mod p(x), x^184320 mod p(x) */
+DATA ·KoopConst+1200(SB)/8,$0x00000000e2900196
+DATA ·KoopConst+1208(SB)/8,$0x0000000194aade7a
+
+ /* x^183360 mod p(x), x^183296 mod p(x) */
+DATA ·KoopConst+1216(SB)/8,$0x00000001fbadf0e4
+DATA ·KoopConst+1224(SB)/8,$0x00000001e7939fb2
+
+ /* x^182336 mod p(x), x^182272 mod p(x) */
+DATA ·KoopConst+1232(SB)/8,$0x00000000d5d96c40
+DATA ·KoopConst+1240(SB)/8,$0x0000000098e5fe22
+
+ /* x^181312 mod p(x), x^181248 mod p(x) */
+DATA ·KoopConst+1248(SB)/8,$0x000000015c11d3f2
+DATA ·KoopConst+1256(SB)/8,$0x000000016bba0324
+
+ /* x^180288 mod p(x), x^180224 mod p(x) */
+DATA ·KoopConst+1264(SB)/8,$0x0000000111fb2648
+DATA ·KoopConst+1272(SB)/8,$0x0000000104dce052
+
+ /* x^179264 mod p(x), x^179200 mod p(x) */
+DATA ·KoopConst+1280(SB)/8,$0x00000001d9f3a564
+DATA ·KoopConst+1288(SB)/8,$0x00000001af31a42e
+
+ /* x^178240 mod p(x), x^178176 mod p(x) */
+DATA ·KoopConst+1296(SB)/8,$0x00000001b556cd1e
+DATA ·KoopConst+1304(SB)/8,$0x00000001c56c57ba
+
+ /* x^177216 mod p(x), x^177152 mod p(x) */
+DATA ·KoopConst+1312(SB)/8,$0x0000000101994d2c
+DATA ·KoopConst+1320(SB)/8,$0x00000000f6bb1a2e
+
+ /* x^176192 mod p(x), x^176128 mod p(x) */
+DATA ·KoopConst+1328(SB)/8,$0x00000001e8dbf09c
+DATA ·KoopConst+1336(SB)/8,$0x00000001abdbf2b2
+
+ /* x^175168 mod p(x), x^175104 mod p(x) */
+DATA ·KoopConst+1344(SB)/8,$0x000000015580543a
+DATA ·KoopConst+1352(SB)/8,$0x00000001a665a880
+
+ /* x^174144 mod p(x), x^174080 mod p(x) */
+DATA ·KoopConst+1360(SB)/8,$0x00000000c7074f24
+DATA ·KoopConst+1368(SB)/8,$0x00000000c102c700
+
+ /* x^173120 mod p(x), x^173056 mod p(x) */
+DATA ·KoopConst+1376(SB)/8,$0x00000000fa4112b0
+DATA ·KoopConst+1384(SB)/8,$0x00000000ee362a50
+
+ /* x^172096 mod p(x), x^172032 mod p(x) */
+DATA ·KoopConst+1392(SB)/8,$0x00000000e786c13e
+DATA ·KoopConst+1400(SB)/8,$0x0000000045f29038
+
+ /* x^171072 mod p(x), x^171008 mod p(x) */
+DATA ·KoopConst+1408(SB)/8,$0x00000001e45e3694
+DATA ·KoopConst+1416(SB)/8,$0x0000000117b9ab5c
+
+ /* x^170048 mod p(x), x^169984 mod p(x) */
+DATA ·KoopConst+1424(SB)/8,$0x000000005423dd8c
+DATA ·KoopConst+1432(SB)/8,$0x00000001115dff5e
+
+ /* x^169024 mod p(x), x^168960 mod p(x) */
+DATA ·KoopConst+1440(SB)/8,$0x00000001a1e67766
+DATA ·KoopConst+1448(SB)/8,$0x0000000117fad29c
+
+ /* x^168000 mod p(x), x^167936 mod p(x) */
+DATA ·KoopConst+1456(SB)/8,$0x0000000041a3f508
+DATA ·KoopConst+1464(SB)/8,$0x000000017de134e6
+
+ /* x^166976 mod p(x), x^166912 mod p(x) */
+DATA ·KoopConst+1472(SB)/8,$0x000000003e792f7e
+DATA ·KoopConst+1480(SB)/8,$0x00000000a2f5d19c
+
+ /* x^165952 mod p(x), x^165888 mod p(x) */
+DATA ·KoopConst+1488(SB)/8,$0x00000000c8948aaa
+DATA ·KoopConst+1496(SB)/8,$0x00000000dee13658
+
+ /* x^164928 mod p(x), x^164864 mod p(x) */
+DATA ·KoopConst+1504(SB)/8,$0x000000005d4ccb36
+DATA ·KoopConst+1512(SB)/8,$0x000000015355440c
+
+ /* x^163904 mod p(x), x^163840 mod p(x) */
+DATA ·KoopConst+1520(SB)/8,$0x00000000e92a78a2
+DATA ·KoopConst+1528(SB)/8,$0x0000000197a21778
+
+ /* x^162880 mod p(x), x^162816 mod p(x) */
+DATA ·KoopConst+1536(SB)/8,$0x000000016ba67caa
+DATA ·KoopConst+1544(SB)/8,$0x00000001a3835ec0
+
+ /* x^161856 mod p(x), x^161792 mod p(x) */
+DATA ·KoopConst+1552(SB)/8,$0x000000004838afc6
+DATA ·KoopConst+1560(SB)/8,$0x0000000011f20912
+
+ /* x^160832 mod p(x), x^160768 mod p(x) */
+DATA ·KoopConst+1568(SB)/8,$0x000000016644e308
+DATA ·KoopConst+1576(SB)/8,$0x00000001cce9d6cc
+
+ /* x^159808 mod p(x), x^159744 mod p(x) */
+DATA ·KoopConst+1584(SB)/8,$0x0000000037c22f42
+DATA ·KoopConst+1592(SB)/8,$0x0000000084d1e71c
+
+ /* x^158784 mod p(x), x^158720 mod p(x) */
+DATA ·KoopConst+1600(SB)/8,$0x00000001dedba6ca
+DATA ·KoopConst+1608(SB)/8,$0x0000000197c2ad54
+
+ /* x^157760 mod p(x), x^157696 mod p(x) */
+DATA ·KoopConst+1616(SB)/8,$0x0000000146a43500
+DATA ·KoopConst+1624(SB)/8,$0x000000018609261e
+
+ /* x^156736 mod p(x), x^156672 mod p(x) */
+DATA ·KoopConst+1632(SB)/8,$0x000000001cf762de
+DATA ·KoopConst+1640(SB)/8,$0x00000000b4b4c224
+
+ /* x^155712 mod p(x), x^155648 mod p(x) */
+DATA ·KoopConst+1648(SB)/8,$0x0000000022ff7eda
+DATA ·KoopConst+1656(SB)/8,$0x0000000080817496
+
+ /* x^154688 mod p(x), x^154624 mod p(x) */
+DATA ·KoopConst+1664(SB)/8,$0x00000001b6df625e
+DATA ·KoopConst+1672(SB)/8,$0x00000001aefb473c
+
+ /* x^153664 mod p(x), x^153600 mod p(x) */
+DATA ·KoopConst+1680(SB)/8,$0x00000001cc99ab58
+DATA ·KoopConst+1688(SB)/8,$0x000000013f1aa474
+
+ /* x^152640 mod p(x), x^152576 mod p(x) */
+DATA ·KoopConst+1696(SB)/8,$0x00000001c53f5ce2
+DATA ·KoopConst+1704(SB)/8,$0x000000010ca2c756
+
+ /* x^151616 mod p(x), x^151552 mod p(x) */
+DATA ·KoopConst+1712(SB)/8,$0x0000000082a9c60e
+DATA ·KoopConst+1720(SB)/8,$0x000000002c63533a
+
+ /* x^150592 mod p(x), x^150528 mod p(x) */
+DATA ·KoopConst+1728(SB)/8,$0x00000000ec78b570
+DATA ·KoopConst+1736(SB)/8,$0x00000001b7f2ad50
+
+ /* x^149568 mod p(x), x^149504 mod p(x) */
+DATA ·KoopConst+1744(SB)/8,$0x00000001d3fe1e8e
+DATA ·KoopConst+1752(SB)/8,$0x00000000acdf4c20
+
+ /* x^148544 mod p(x), x^148480 mod p(x) */
+DATA ·KoopConst+1760(SB)/8,$0x000000007f9a7bde
+DATA ·KoopConst+1768(SB)/8,$0x000000000bd29e8c
+
+ /* x^147520 mod p(x), x^147456 mod p(x) */
+DATA ·KoopConst+1776(SB)/8,$0x00000000e606f518
+DATA ·KoopConst+1784(SB)/8,$0x00000001eef6992e
+
+ /* x^146496 mod p(x), x^146432 mod p(x) */
+DATA ·KoopConst+1792(SB)/8,$0x000000008538cb96
+DATA ·KoopConst+1800(SB)/8,$0x00000000b01644e6
+
+ /* x^145472 mod p(x), x^145408 mod p(x) */
+DATA ·KoopConst+1808(SB)/8,$0x0000000131d030b2
+DATA ·KoopConst+1816(SB)/8,$0x0000000059c51acc
+
+ /* x^144448 mod p(x), x^144384 mod p(x) */
+DATA ·KoopConst+1824(SB)/8,$0x00000000115a4d0e
+DATA ·KoopConst+1832(SB)/8,$0x00000001a2849272
+
+ /* x^143424 mod p(x), x^143360 mod p(x) */
+DATA ·KoopConst+1840(SB)/8,$0x00000000e8a5356e
+DATA ·KoopConst+1848(SB)/8,$0x00000001a4e0b610
+
+ /* x^142400 mod p(x), x^142336 mod p(x) */
+DATA ·KoopConst+1856(SB)/8,$0x0000000158d988be
+DATA ·KoopConst+1864(SB)/8,$0x00000000084e81a6
+
+ /* x^141376 mod p(x), x^141312 mod p(x) */
+DATA ·KoopConst+1872(SB)/8,$0x00000001240db498
+DATA ·KoopConst+1880(SB)/8,$0x00000001b71f1fd8
+
+ /* x^140352 mod p(x), x^140288 mod p(x) */
+DATA ·KoopConst+1888(SB)/8,$0x000000009ce87826
+DATA ·KoopConst+1896(SB)/8,$0x000000017f7df380
+
+ /* x^139328 mod p(x), x^139264 mod p(x) */
+DATA ·KoopConst+1904(SB)/8,$0x0000000021944aae
+DATA ·KoopConst+1912(SB)/8,$0x00000001f7f4e190
+
+ /* x^138304 mod p(x), x^138240 mod p(x) */
+DATA ·KoopConst+1920(SB)/8,$0x00000001cea3d67e
+DATA ·KoopConst+1928(SB)/8,$0x0000000150220d86
+
+ /* x^137280 mod p(x), x^137216 mod p(x) */
+DATA ·KoopConst+1936(SB)/8,$0x000000004434e926
+DATA ·KoopConst+1944(SB)/8,$0x00000001db7d2b2e
+
+ /* x^136256 mod p(x), x^136192 mod p(x) */
+DATA ·KoopConst+1952(SB)/8,$0x0000000011db8cbe
+DATA ·KoopConst+1960(SB)/8,$0x00000000b6ba9668
+
+ /* x^135232 mod p(x), x^135168 mod p(x) */
+DATA ·KoopConst+1968(SB)/8,$0x00000001f6e0b8dc
+DATA ·KoopConst+1976(SB)/8,$0x0000000103fdcecc
+
+ /* x^134208 mod p(x), x^134144 mod p(x) */
+DATA ·KoopConst+1984(SB)/8,$0x00000001f163f4a0
+DATA ·KoopConst+1992(SB)/8,$0x0000000079816a22
+
+ /* x^133184 mod p(x), x^133120 mod p(x) */
+DATA ·KoopConst+2000(SB)/8,$0x000000007b6cc60e
+DATA ·KoopConst+2008(SB)/8,$0x0000000173483482
+
+ /* x^132160 mod p(x), x^132096 mod p(x) */
+DATA ·KoopConst+2016(SB)/8,$0x000000000f26c82c
+DATA ·KoopConst+2024(SB)/8,$0x00000000643ea4c0
+
+ /* x^131136 mod p(x), x^131072 mod p(x) */
+DATA ·KoopConst+2032(SB)/8,$0x00000000b0acad80
+DATA ·KoopConst+2040(SB)/8,$0x00000000a64752d2
+
+ /* x^130112 mod p(x), x^130048 mod p(x) */
+DATA ·KoopConst+2048(SB)/8,$0x000000013687e91c
+DATA ·KoopConst+2056(SB)/8,$0x00000000ca98eb3a
+
+ /* x^129088 mod p(x), x^129024 mod p(x) */
+DATA ·KoopConst+2064(SB)/8,$0x000000006bac3a96
+DATA ·KoopConst+2072(SB)/8,$0x00000001ca6ac8f8
+
+ /* x^128064 mod p(x), x^128000 mod p(x) */
+DATA ·KoopConst+2080(SB)/8,$0x00000001bf197d5c
+DATA ·KoopConst+2088(SB)/8,$0x00000001c48e2e68
+
+ /* x^127040 mod p(x), x^126976 mod p(x) */
+DATA ·KoopConst+2096(SB)/8,$0x00000000256e84f2
+DATA ·KoopConst+2104(SB)/8,$0x0000000070086782
+
+ /* x^126016 mod p(x), x^125952 mod p(x) */
+DATA ·KoopConst+2112(SB)/8,$0x000000003eff0d16
+DATA ·KoopConst+2120(SB)/8,$0x00000000f763621c
+
+ /* x^124992 mod p(x), x^124928 mod p(x) */
+DATA ·KoopConst+2128(SB)/8,$0x00000001748e9fd2
+DATA ·KoopConst+2136(SB)/8,$0x00000000ba58646a
+
+ /* x^123968 mod p(x), x^123904 mod p(x) */
+DATA ·KoopConst+2144(SB)/8,$0x000000015bb85b42
+DATA ·KoopConst+2152(SB)/8,$0x0000000138e157d8
+
+ /* x^122944 mod p(x), x^122880 mod p(x) */
+DATA ·KoopConst+2160(SB)/8,$0x0000000164d1a980
+DATA ·KoopConst+2168(SB)/8,$0x00000001bf0a09dc
+
+ /* x^121920 mod p(x), x^121856 mod p(x) */
+DATA ·KoopConst+2176(SB)/8,$0x000000001415c9f0
+DATA ·KoopConst+2184(SB)/8,$0x0000000098faf300
+
+ /* x^120896 mod p(x), x^120832 mod p(x) */
+DATA ·KoopConst+2192(SB)/8,$0x0000000195ae2f48
+DATA ·KoopConst+2200(SB)/8,$0x00000001f872f2c6
+
+ /* x^119872 mod p(x), x^119808 mod p(x) */
+DATA ·KoopConst+2208(SB)/8,$0x0000000059d1d81a
+DATA ·KoopConst+2216(SB)/8,$0x00000000f92577be
+
+ /* x^118848 mod p(x), x^118784 mod p(x) */
+DATA ·KoopConst+2224(SB)/8,$0x00000001bf80257a
+DATA ·KoopConst+2232(SB)/8,$0x00000001a4d975f4
+
+ /* x^117824 mod p(x), x^117760 mod p(x) */
+DATA ·KoopConst+2240(SB)/8,$0x000000011e39bfce
+DATA ·KoopConst+2248(SB)/8,$0x000000018b74eeca
+
+ /* x^116800 mod p(x), x^116736 mod p(x) */
+DATA ·KoopConst+2256(SB)/8,$0x00000001287a0456
+DATA ·KoopConst+2264(SB)/8,$0x00000000e8980404
+
+ /* x^115776 mod p(x), x^115712 mod p(x) */
+DATA ·KoopConst+2272(SB)/8,$0x00000000a5eb589c
+DATA ·KoopConst+2280(SB)/8,$0x0000000176ef2b74
+
+ /* x^114752 mod p(x), x^114688 mod p(x) */
+DATA ·KoopConst+2288(SB)/8,$0x000000017d71c452
+DATA ·KoopConst+2296(SB)/8,$0x0000000063c85caa
+
+ /* x^113728 mod p(x), x^113664 mod p(x) */
+DATA ·KoopConst+2304(SB)/8,$0x00000000fa941f08
+DATA ·KoopConst+2312(SB)/8,$0x00000001708012cc
+
+ /* x^112704 mod p(x), x^112640 mod p(x) */
+DATA ·KoopConst+2320(SB)/8,$0x0000000064ea030e
+DATA ·KoopConst+2328(SB)/8,$0x00000000474d58f6
+
+ /* x^111680 mod p(x), x^111616 mod p(x) */
+DATA ·KoopConst+2336(SB)/8,$0x000000019b7cc7ba
+DATA ·KoopConst+2344(SB)/8,$0x00000001c76085a6
+
+ /* x^110656 mod p(x), x^110592 mod p(x) */
+DATA ·KoopConst+2352(SB)/8,$0x00000000225cb7ba
+DATA ·KoopConst+2360(SB)/8,$0x000000018fb0681a
+
+ /* x^109632 mod p(x), x^109568 mod p(x) */
+DATA ·KoopConst+2368(SB)/8,$0x000000010ab3e1da
+DATA ·KoopConst+2376(SB)/8,$0x00000001fcee1f16
+
+ /* x^108608 mod p(x), x^108544 mod p(x) */
+DATA ·KoopConst+2384(SB)/8,$0x00000001ce5cc33e
+DATA ·KoopConst+2392(SB)/8,$0x00000000cfbffb7c
+
+ /* x^107584 mod p(x), x^107520 mod p(x) */
+DATA ·KoopConst+2400(SB)/8,$0x000000005e980f6e
+DATA ·KoopConst+2408(SB)/8,$0x000000017af8ee72
+
+ /* x^106560 mod p(x), x^106496 mod p(x) */
+DATA ·KoopConst+2416(SB)/8,$0x00000000d3bf3f46
+DATA ·KoopConst+2424(SB)/8,$0x000000001c2ad3e2
+
+ /* x^105536 mod p(x), x^105472 mod p(x) */
+DATA ·KoopConst+2432(SB)/8,$0x000000018d554ae0
+DATA ·KoopConst+2440(SB)/8,$0x00000000ee05450a
+
+ /* x^104512 mod p(x), x^104448 mod p(x) */
+DATA ·KoopConst+2448(SB)/8,$0x000000018e276eb0
+DATA ·KoopConst+2456(SB)/8,$0x000000000f7d5bac
+
+ /* x^103488 mod p(x), x^103424 mod p(x) */
+DATA ·KoopConst+2464(SB)/8,$0x000000001c0319ce
+DATA ·KoopConst+2472(SB)/8,$0x00000001cb26e004
+
+ /* x^102464 mod p(x), x^102400 mod p(x) */
+DATA ·KoopConst+2480(SB)/8,$0x00000001ca0c75ec
+DATA ·KoopConst+2488(SB)/8,$0x00000001553314e2
+
+ /* x^101440 mod p(x), x^101376 mod p(x) */
+DATA ·KoopConst+2496(SB)/8,$0x00000001fb075330
+DATA ·KoopConst+2504(SB)/8,$0x000000005729be2c
+
+ /* x^100416 mod p(x), x^100352 mod p(x) */
+DATA ·KoopConst+2512(SB)/8,$0x00000000677920e4
+DATA ·KoopConst+2520(SB)/8,$0x0000000192c4479c
+
+ /* x^99392 mod p(x), x^99328 mod p(x) */
+DATA ·KoopConst+2528(SB)/8,$0x00000000332247c8
+DATA ·KoopConst+2536(SB)/8,$0x0000000078d842b6
+
+ /* x^98368 mod p(x), x^98304 mod p(x) */
+DATA ·KoopConst+2544(SB)/8,$0x00000000ef84fc6c
+DATA ·KoopConst+2552(SB)/8,$0x0000000145ffa282
+
+ /* x^97344 mod p(x), x^97280 mod p(x) */
+DATA ·KoopConst+2560(SB)/8,$0x0000000139ba7690
+DATA ·KoopConst+2568(SB)/8,$0x000000019d679bf4
+
+ /* x^96320 mod p(x), x^96256 mod p(x) */
+DATA ·KoopConst+2576(SB)/8,$0x00000000029ef444
+DATA ·KoopConst+2584(SB)/8,$0x000000019412f7a0
+
+ /* x^95296 mod p(x), x^95232 mod p(x) */
+DATA ·KoopConst+2592(SB)/8,$0x00000001d872048c
+DATA ·KoopConst+2600(SB)/8,$0x00000000b28c5c96
+
+ /* x^94272 mod p(x), x^94208 mod p(x) */
+DATA ·KoopConst+2608(SB)/8,$0x000000016535d70a
+DATA ·KoopConst+2616(SB)/8,$0x00000000554bfd44
+
+ /* x^93248 mod p(x), x^93184 mod p(x) */
+DATA ·KoopConst+2624(SB)/8,$0x00000000761dd222
+DATA ·KoopConst+2632(SB)/8,$0x00000000ce9cfa48
+
+ /* x^92224 mod p(x), x^92160 mod p(x) */
+DATA ·KoopConst+2640(SB)/8,$0x00000001509a3a44
+DATA ·KoopConst+2648(SB)/8,$0x00000000a4702ab2
+
+ /* x^91200 mod p(x), x^91136 mod p(x) */
+DATA ·KoopConst+2656(SB)/8,$0x000000007e7019f2
+DATA ·KoopConst+2664(SB)/8,$0x00000001c967fbee
+
+ /* x^90176 mod p(x), x^90112 mod p(x) */
+DATA ·KoopConst+2672(SB)/8,$0x00000000fb4c56ea
+DATA ·KoopConst+2680(SB)/8,$0x00000000fd514b3e
+
+ /* x^89152 mod p(x), x^89088 mod p(x) */
+DATA ·KoopConst+2688(SB)/8,$0x000000012022e0ee
+DATA ·KoopConst+2696(SB)/8,$0x00000001c0b6f95e
+
+ /* x^88128 mod p(x), x^88064 mod p(x) */
+DATA ·KoopConst+2704(SB)/8,$0x0000000004bc6054
+DATA ·KoopConst+2712(SB)/8,$0x0000000180e103ce
+
+ /* x^87104 mod p(x), x^87040 mod p(x) */
+DATA ·KoopConst+2720(SB)/8,$0x000000017a1a0030
+DATA ·KoopConst+2728(SB)/8,$0x00000001a1630916
+
+ /* x^86080 mod p(x), x^86016 mod p(x) */
+DATA ·KoopConst+2736(SB)/8,$0x00000001c021a864
+DATA ·KoopConst+2744(SB)/8,$0x000000009a727fb2
+
+ /* x^85056 mod p(x), x^84992 mod p(x) */
+DATA ·KoopConst+2752(SB)/8,$0x000000009c54421e
+DATA ·KoopConst+2760(SB)/8,$0x00000000e83b081a
+
+ /* x^84032 mod p(x), x^83968 mod p(x) */
+DATA ·KoopConst+2768(SB)/8,$0x00000001b4e33e6a
+DATA ·KoopConst+2776(SB)/8,$0x000000006b1a1f44
+
+ /* x^83008 mod p(x), x^82944 mod p(x) */
+DATA ·KoopConst+2784(SB)/8,$0x000000015d615af0
+DATA ·KoopConst+2792(SB)/8,$0x00000000cf280394
+
+ /* x^81984 mod p(x), x^81920 mod p(x) */
+DATA ·KoopConst+2800(SB)/8,$0x00000001914a3ba8
+DATA ·KoopConst+2808(SB)/8,$0x00000001154b8a9a
+
+ /* x^80960 mod p(x), x^80896 mod p(x) */
+DATA ·KoopConst+2816(SB)/8,$0x000000005f72ec44
+DATA ·KoopConst+2824(SB)/8,$0x0000000149ec63e2
+
+ /* x^79936 mod p(x), x^79872 mod p(x) */
+DATA ·KoopConst+2832(SB)/8,$0x00000000a33746a8
+DATA ·KoopConst+2840(SB)/8,$0x000000018ef902c4
+
+ /* x^78912 mod p(x), x^78848 mod p(x) */
+DATA ·KoopConst+2848(SB)/8,$0x00000001c91e90d4
+DATA ·KoopConst+2856(SB)/8,$0x0000000069addb88
+
+ /* x^77888 mod p(x), x^77824 mod p(x) */
+DATA ·KoopConst+2864(SB)/8,$0x00000001052eb05e
+DATA ·KoopConst+2872(SB)/8,$0x00000000e90a29ae
+
+ /* x^76864 mod p(x), x^76800 mod p(x) */
+DATA ·KoopConst+2880(SB)/8,$0x000000006a32f754
+DATA ·KoopConst+2888(SB)/8,$0x00000000c53641ae
+
+ /* x^75840 mod p(x), x^75776 mod p(x) */
+DATA ·KoopConst+2896(SB)/8,$0x00000001ecbd6436
+DATA ·KoopConst+2904(SB)/8,$0x00000000a17c3796
+
+ /* x^74816 mod p(x), x^74752 mod p(x) */
+DATA ·KoopConst+2912(SB)/8,$0x000000000fd3f93a
+DATA ·KoopConst+2920(SB)/8,$0x000000015307a62c
+
+ /* x^73792 mod p(x), x^73728 mod p(x) */
+DATA ·KoopConst+2928(SB)/8,$0x00000001686a4c24
+DATA ·KoopConst+2936(SB)/8,$0x000000002f94bbda
+
+ /* x^72768 mod p(x), x^72704 mod p(x) */
+DATA ·KoopConst+2944(SB)/8,$0x00000001e40afca0
+DATA ·KoopConst+2952(SB)/8,$0x0000000072c8b5e6
+
+ /* x^71744 mod p(x), x^71680 mod p(x) */
+DATA ·KoopConst+2960(SB)/8,$0x000000012779a2b8
+DATA ·KoopConst+2968(SB)/8,$0x00000000f09b7424
+
+ /* x^70720 mod p(x), x^70656 mod p(x) */
+DATA ·KoopConst+2976(SB)/8,$0x00000000dcdaeb9e
+DATA ·KoopConst+2984(SB)/8,$0x00000001c57de3da
+
+ /* x^69696 mod p(x), x^69632 mod p(x) */
+DATA ·KoopConst+2992(SB)/8,$0x00000001674f7a2a
+DATA ·KoopConst+3000(SB)/8,$0x000000013922b30e
+
+ /* x^68672 mod p(x), x^68608 mod p(x) */
+DATA ·KoopConst+3008(SB)/8,$0x00000000dcb9e846
+DATA ·KoopConst+3016(SB)/8,$0x000000008759a6c2
+
+ /* x^67648 mod p(x), x^67584 mod p(x) */
+DATA ·KoopConst+3024(SB)/8,$0x00000000ea9a6af6
+DATA ·KoopConst+3032(SB)/8,$0x00000000545ae424
+
+ /* x^66624 mod p(x), x^66560 mod p(x) */
+DATA ·KoopConst+3040(SB)/8,$0x000000006d1f7a74
+DATA ·KoopConst+3048(SB)/8,$0x00000001e0cbafd2
+
+ /* x^65600 mod p(x), x^65536 mod p(x) */
+DATA ·KoopConst+3056(SB)/8,$0x000000006add215e
+DATA ·KoopConst+3064(SB)/8,$0x0000000018360c04
+
+ /* x^64576 mod p(x), x^64512 mod p(x) */
+DATA ·KoopConst+3072(SB)/8,$0x000000010a9ee4b0
+DATA ·KoopConst+3080(SB)/8,$0x00000000941dc432
+
+ /* x^63552 mod p(x), x^63488 mod p(x) */
+DATA ·KoopConst+3088(SB)/8,$0x00000000304c48d2
+DATA ·KoopConst+3096(SB)/8,$0x0000000004d3566e
+
+ /* x^62528 mod p(x), x^62464 mod p(x) */
+DATA ·KoopConst+3104(SB)/8,$0x0000000163d0e672
+DATA ·KoopConst+3112(SB)/8,$0x0000000096aed14e
+
+ /* x^61504 mod p(x), x^61440 mod p(x) */
+DATA ·KoopConst+3120(SB)/8,$0x0000000010049166
+DATA ·KoopConst+3128(SB)/8,$0x0000000087c13618
+
+ /* x^60480 mod p(x), x^60416 mod p(x) */
+DATA ·KoopConst+3136(SB)/8,$0x00000001d3913e34
+DATA ·KoopConst+3144(SB)/8,$0x00000001d52f7b0c
+
+ /* x^59456 mod p(x), x^59392 mod p(x) */
+DATA ·KoopConst+3152(SB)/8,$0x00000001e392d54a
+DATA ·KoopConst+3160(SB)/8,$0x000000000182058e
+
+ /* x^58432 mod p(x), x^58368 mod p(x) */
+DATA ·KoopConst+3168(SB)/8,$0x0000000173f2704a
+DATA ·KoopConst+3176(SB)/8,$0x00000001ed73aa02
+
+ /* x^57408 mod p(x), x^57344 mod p(x) */
+DATA ·KoopConst+3184(SB)/8,$0x000000019112b480
+DATA ·KoopConst+3192(SB)/8,$0x000000002721a82e
+
+ /* x^56384 mod p(x), x^56320 mod p(x) */
+DATA ·KoopConst+3200(SB)/8,$0x0000000093d295d6
+DATA ·KoopConst+3208(SB)/8,$0x000000012ca83da2
+
+ /* x^55360 mod p(x), x^55296 mod p(x) */
+DATA ·KoopConst+3216(SB)/8,$0x0000000114e37f44
+DATA ·KoopConst+3224(SB)/8,$0x00000000da358698
+
+ /* x^54336 mod p(x), x^54272 mod p(x) */
+DATA ·KoopConst+3232(SB)/8,$0x00000000fcfebc86
+DATA ·KoopConst+3240(SB)/8,$0x0000000011fad322
+
+ /* x^53312 mod p(x), x^53248 mod p(x) */
+DATA ·KoopConst+3248(SB)/8,$0x00000000834c48d6
+DATA ·KoopConst+3256(SB)/8,$0x000000012b25025c
+
+ /* x^52288 mod p(x), x^52224 mod p(x) */
+DATA ·KoopConst+3264(SB)/8,$0x000000017b909372
+DATA ·KoopConst+3272(SB)/8,$0x000000001290cd24
+
+ /* x^51264 mod p(x), x^51200 mod p(x) */
+DATA ·KoopConst+3280(SB)/8,$0x000000010156b9ac
+DATA ·KoopConst+3288(SB)/8,$0x000000016edd0b06
+
+ /* x^50240 mod p(x), x^50176 mod p(x) */
+DATA ·KoopConst+3296(SB)/8,$0x0000000113a82fa8
+DATA ·KoopConst+3304(SB)/8,$0x00000000c08e222a
+
+ /* x^49216 mod p(x), x^49152 mod p(x) */
+DATA ·KoopConst+3312(SB)/8,$0x0000000182dacb74
+DATA ·KoopConst+3320(SB)/8,$0x00000000cfb4d10e
+
+ /* x^48192 mod p(x), x^48128 mod p(x) */
+DATA ·KoopConst+3328(SB)/8,$0x000000010210dc40
+DATA ·KoopConst+3336(SB)/8,$0x000000013e156ece
+
+ /* x^47168 mod p(x), x^47104 mod p(x) */
+DATA ·KoopConst+3344(SB)/8,$0x000000008ab5ed20
+DATA ·KoopConst+3352(SB)/8,$0x00000000f12d89f8
+
+ /* x^46144 mod p(x), x^46080 mod p(x) */
+DATA ·KoopConst+3360(SB)/8,$0x00000000810386fa
+DATA ·KoopConst+3368(SB)/8,$0x00000001fce3337c
+
+ /* x^45120 mod p(x), x^45056 mod p(x) */
+DATA ·KoopConst+3376(SB)/8,$0x000000011dce2fe2
+DATA ·KoopConst+3384(SB)/8,$0x00000001c4bf3514
+
+ /* x^44096 mod p(x), x^44032 mod p(x) */
+DATA ·KoopConst+3392(SB)/8,$0x000000004bb0a390
+DATA ·KoopConst+3400(SB)/8,$0x00000001ae67c492
+
+ /* x^43072 mod p(x), x^43008 mod p(x) */
+DATA ·KoopConst+3408(SB)/8,$0x00000000028d486a
+DATA ·KoopConst+3416(SB)/8,$0x00000000302af704
+
+ /* x^42048 mod p(x), x^41984 mod p(x) */
+DATA ·KoopConst+3424(SB)/8,$0x000000010e4d63fe
+DATA ·KoopConst+3432(SB)/8,$0x00000001e375b250
+
+ /* x^41024 mod p(x), x^40960 mod p(x) */
+DATA ·KoopConst+3440(SB)/8,$0x000000014fd6f458
+DATA ·KoopConst+3448(SB)/8,$0x00000001678b58c0
+
+ /* x^40000 mod p(x), x^39936 mod p(x) */
+DATA ·KoopConst+3456(SB)/8,$0x00000000db7a83a2
+DATA ·KoopConst+3464(SB)/8,$0x0000000065103c1e
+
+ /* x^38976 mod p(x), x^38912 mod p(x) */
+DATA ·KoopConst+3472(SB)/8,$0x000000016cf9fa3c
+DATA ·KoopConst+3480(SB)/8,$0x000000000ccd28ca
+
+ /* x^37952 mod p(x), x^37888 mod p(x) */
+DATA ·KoopConst+3488(SB)/8,$0x000000016bb33912
+DATA ·KoopConst+3496(SB)/8,$0x0000000059c177d4
+
+ /* x^36928 mod p(x), x^36864 mod p(x) */
+DATA ·KoopConst+3504(SB)/8,$0x0000000135bda8bc
+DATA ·KoopConst+3512(SB)/8,$0x00000001d162f83a
+
+ /* x^35904 mod p(x), x^35840 mod p(x) */
+DATA ·KoopConst+3520(SB)/8,$0x000000004e8c6b76
+DATA ·KoopConst+3528(SB)/8,$0x00000001efc0230c
+
+ /* x^34880 mod p(x), x^34816 mod p(x) */
+DATA ·KoopConst+3536(SB)/8,$0x00000000e17cb750
+DATA ·KoopConst+3544(SB)/8,$0x00000001a2a2e2d2
+
+ /* x^33856 mod p(x), x^33792 mod p(x) */
+DATA ·KoopConst+3552(SB)/8,$0x000000010e8bb9cc
+DATA ·KoopConst+3560(SB)/8,$0x00000001145c9dc2
+
+ /* x^32832 mod p(x), x^32768 mod p(x) */
+DATA ·KoopConst+3568(SB)/8,$0x00000001859d1cae
+DATA ·KoopConst+3576(SB)/8,$0x00000000949e4a48
+
+ /* x^31808 mod p(x), x^31744 mod p(x) */
+DATA ·KoopConst+3584(SB)/8,$0x0000000167802bbe
+DATA ·KoopConst+3592(SB)/8,$0x0000000128beecbc
+
+ /* x^30784 mod p(x), x^30720 mod p(x) */
+DATA ·KoopConst+3600(SB)/8,$0x0000000086f5219c
+DATA ·KoopConst+3608(SB)/8,$0x00000001ffc96ae4
+
+ /* x^29760 mod p(x), x^29696 mod p(x) */
+DATA ·KoopConst+3616(SB)/8,$0x00000001349a4faa
+DATA ·KoopConst+3624(SB)/8,$0x00000001ba81e0aa
+
+ /* x^28736 mod p(x), x^28672 mod p(x) */
+DATA ·KoopConst+3632(SB)/8,$0x000000007da3353e
+DATA ·KoopConst+3640(SB)/8,$0x0000000104d7df14
+
+ /* x^27712 mod p(x), x^27648 mod p(x) */
+DATA ·KoopConst+3648(SB)/8,$0x00000000440fba4e
+DATA ·KoopConst+3656(SB)/8,$0x00000001c2ff8518
+
+ /* x^26688 mod p(x), x^26624 mod p(x) */
+DATA ·KoopConst+3664(SB)/8,$0x00000000507aba70
+DATA ·KoopConst+3672(SB)/8,$0x00000000ba6d4708
+
+ /* x^25664 mod p(x), x^25600 mod p(x) */
+DATA ·KoopConst+3680(SB)/8,$0x0000000015b578b6
+DATA ·KoopConst+3688(SB)/8,$0x00000001d49d4bba
+
+ /* x^24640 mod p(x), x^24576 mod p(x) */
+DATA ·KoopConst+3696(SB)/8,$0x0000000141633fb2
+DATA ·KoopConst+3704(SB)/8,$0x00000000d21247e6
+
+ /* x^23616 mod p(x), x^23552 mod p(x) */
+DATA ·KoopConst+3712(SB)/8,$0x0000000178712680
+DATA ·KoopConst+3720(SB)/8,$0x0000000063b4004a
+
+ /* x^22592 mod p(x), x^22528 mod p(x) */
+DATA ·KoopConst+3728(SB)/8,$0x000000001404c194
+DATA ·KoopConst+3736(SB)/8,$0x0000000094f55d2c
+
+ /* x^21568 mod p(x), x^21504 mod p(x) */
+DATA ·KoopConst+3744(SB)/8,$0x00000000469dbe46
+DATA ·KoopConst+3752(SB)/8,$0x00000001ca68fe74
+
+ /* x^20544 mod p(x), x^20480 mod p(x) */
+DATA ·KoopConst+3760(SB)/8,$0x00000000fb093fd8
+DATA ·KoopConst+3768(SB)/8,$0x00000001fd7d1b4c
+
+ /* x^19520 mod p(x), x^19456 mod p(x) */
+DATA ·KoopConst+3776(SB)/8,$0x00000000767a2bfe
+DATA ·KoopConst+3784(SB)/8,$0x0000000055982d0c
+
+ /* x^18496 mod p(x), x^18432 mod p(x) */
+DATA ·KoopConst+3792(SB)/8,$0x00000001344e22bc
+DATA ·KoopConst+3800(SB)/8,$0x00000000221553a6
+
+ /* x^17472 mod p(x), x^17408 mod p(x) */
+DATA ·KoopConst+3808(SB)/8,$0x0000000161cd9978
+DATA ·KoopConst+3816(SB)/8,$0x000000013d9a153a
+
+ /* x^16448 mod p(x), x^16384 mod p(x) */
+DATA ·KoopConst+3824(SB)/8,$0x00000001d702e906
+DATA ·KoopConst+3832(SB)/8,$0x00000001cd108b3c
+
+ /* x^15424 mod p(x), x^15360 mod p(x) */
+DATA ·KoopConst+3840(SB)/8,$0x00000001c7db9908
+DATA ·KoopConst+3848(SB)/8,$0x00000001d0af0f4a
+
+ /* x^14400 mod p(x), x^14336 mod p(x) */
+DATA ·KoopConst+3856(SB)/8,$0x00000001665d025c
+DATA ·KoopConst+3864(SB)/8,$0x00000001196cf0ec
+
+ /* x^13376 mod p(x), x^13312 mod p(x) */
+DATA ·KoopConst+3872(SB)/8,$0x000000012df97c0e
+DATA ·KoopConst+3880(SB)/8,$0x00000001c88c9704
+
+ /* x^12352 mod p(x), x^12288 mod p(x) */
+DATA ·KoopConst+3888(SB)/8,$0x000000006fed84da
+DATA ·KoopConst+3896(SB)/8,$0x000000002013d300
+
+ /* x^11328 mod p(x), x^11264 mod p(x) */
+DATA ·KoopConst+3904(SB)/8,$0x00000000b094146e
+DATA ·KoopConst+3912(SB)/8,$0x00000001c458501e
+
+ /* x^10304 mod p(x), x^10240 mod p(x) */
+DATA ·KoopConst+3920(SB)/8,$0x00000001ceb518a6
+DATA ·KoopConst+3928(SB)/8,$0x000000003ce14802
+
+ /* x^9280 mod p(x), x^9216 mod p(x) */
+DATA ·KoopConst+3936(SB)/8,$0x000000011f16db0a
+DATA ·KoopConst+3944(SB)/8,$0x00000000bb72bb98
+
+ /* x^8256 mod p(x), x^8192 mod p(x) */
+DATA ·KoopConst+3952(SB)/8,$0x00000001d4aa130e
+DATA ·KoopConst+3960(SB)/8,$0x00000000fb9aeaba
+
+ /* x^7232 mod p(x), x^7168 mod p(x) */
+DATA ·KoopConst+3968(SB)/8,$0x00000001991f01d2
+DATA ·KoopConst+3976(SB)/8,$0x000000000131f5e6
+
+ /* x^6208 mod p(x), x^6144 mod p(x) */
+DATA ·KoopConst+3984(SB)/8,$0x000000006bd58b4c
+DATA ·KoopConst+3992(SB)/8,$0x0000000089d5799a
+
+ /* x^5184 mod p(x), x^5120 mod p(x) */
+DATA ·KoopConst+4000(SB)/8,$0x000000007272c166
+DATA ·KoopConst+4008(SB)/8,$0x00000000474c43b0
+
+ /* x^4160 mod p(x), x^4096 mod p(x) */
+DATA ·KoopConst+4016(SB)/8,$0x000000013974e6f8
+DATA ·KoopConst+4024(SB)/8,$0x00000001db991f34
+
+ /* x^3136 mod p(x), x^3072 mod p(x) */
+DATA ·KoopConst+4032(SB)/8,$0x000000000bd6e03c
+DATA ·KoopConst+4040(SB)/8,$0x000000004b1bfd00
+
+ /* x^2112 mod p(x), x^2048 mod p(x) */
+DATA ·KoopConst+4048(SB)/8,$0x000000005988c652
+DATA ·KoopConst+4056(SB)/8,$0x000000004036b796
+
+ /* x^1088 mod p(x), x^1024 mod p(x) */
+DATA ·KoopConst+4064(SB)/8,$0x00000000129ef036
+DATA ·KoopConst+4072(SB)/8,$0x000000000c5ec3d4
+
+ /* x^2048 mod p(x), x^2016 mod p(x), x^1984 mod p(x), x^1952 mod p(x) */
+DATA ·KoopConst+4080(SB)/8,$0xd6f94847201b5bcb
+DATA ·KoopConst+4088(SB)/8,$0x1efc02e79571e892
+
+ /* x^1920 mod p(x), x^1888 mod p(x), x^1856 mod p(x), x^1824 mod p(x) */
+DATA ·KoopConst+4096(SB)/8,$0xce08adcc294c1393
+DATA ·KoopConst+4104(SB)/8,$0x0b269b5c5ab5f161
+
+ /* x^1792 mod p(x), x^1760 mod p(x), x^1728 mod p(x), x^1696 mod p(x) */
+DATA ·KoopConst+4112(SB)/8,$0x17315505e4201e72
+DATA ·KoopConst+4120(SB)/8,$0x2e841f4784acf3e9
+
+ /* x^1664 mod p(x), x^1632 mod p(x), x^1600 mod p(x), x^1568 mod p(x) */
+DATA ·KoopConst+4128(SB)/8,$0x37cfc3a67cc667e3
+DATA ·KoopConst+4136(SB)/8,$0x7020425856bc424b
+
+ /* x^1536 mod p(x), x^1504 mod p(x), x^1472 mod p(x), x^1440 mod p(x) */
+DATA ·KoopConst+4144(SB)/8,$0x8e2fa3369218d2c3
+DATA ·KoopConst+4152(SB)/8,$0xdf81bf923f7c6ef1
+
+ /* x^1408 mod p(x), x^1376 mod p(x), x^1344 mod p(x), x^1312 mod p(x) */
+DATA ·KoopConst+4160(SB)/8,$0x5ce20d2d39ed1981
+DATA ·KoopConst+4168(SB)/8,$0x9d0898a0af5ddc43
+
+ /* x^1280 mod p(x), x^1248 mod p(x), x^1216 mod p(x), x^1184 mod p(x) */
+DATA ·KoopConst+4176(SB)/8,$0x6f7f4546ca081e03
+DATA ·KoopConst+4184(SB)/8,$0x4992836903fda047
+
+ /* x^1152 mod p(x), x^1120 mod p(x), x^1088 mod p(x), x^1056 mod p(x) */
+DATA ·KoopConst+4192(SB)/8,$0xfd4f413b9bf11d68
+DATA ·KoopConst+4200(SB)/8,$0xf4ddf452094f781b
+
+ /* x^1024 mod p(x), x^992 mod p(x), x^960 mod p(x), x^928 mod p(x) */
+DATA ·KoopConst+4208(SB)/8,$0x11d84204062f61ea
+DATA ·KoopConst+4216(SB)/8,$0x9487f1e51f3588cf
+
+ /* x^896 mod p(x), x^864 mod p(x), x^832 mod p(x), x^800 mod p(x) */
+DATA ·KoopConst+4224(SB)/8,$0xfaedf111abf58a1f
+DATA ·KoopConst+4232(SB)/8,$0x31da2c22b1384ec9
+
+ /* x^768 mod p(x), x^736 mod p(x), x^704 mod p(x), x^672 mod p(x) */
+DATA ·KoopConst+4240(SB)/8,$0x0246b541e8f81b22
+DATA ·KoopConst+4248(SB)/8,$0xc857ede58a42eb47
+
+ /* x^640 mod p(x), x^608 mod p(x), x^576 mod p(x), x^544 mod p(x) */
+DATA ·KoopConst+4256(SB)/8,$0xd4dbfa9b92b0372e
+DATA ·KoopConst+4264(SB)/8,$0xe0354c0b2cd1c09a
+
+ /* x^512 mod p(x), x^480 mod p(x), x^448 mod p(x), x^416 mod p(x) */
+DATA ·KoopConst+4272(SB)/8,$0x5f36c79cfc4417ec
+DATA ·KoopConst+4280(SB)/8,$0x4b92cf8d54b8f25b
+
+ /* x^384 mod p(x), x^352 mod p(x), x^320 mod p(x), x^288 mod p(x) */
+DATA ·KoopConst+4288(SB)/8,$0xdad234918345041e
+DATA ·KoopConst+4296(SB)/8,$0x4e44c81828229301
+
+ /* x^256 mod p(x), x^224 mod p(x), x^192 mod p(x), x^160 mod p(x) */
+DATA ·KoopConst+4304(SB)/8,$0x56fd28cc8e02f1d0
+DATA ·KoopConst+4312(SB)/8,$0x3da5e43c8ee9ee84
+
+ /* x^128 mod p(x), x^96 mod p(x), x^64 mod p(x), x^32 mod p(x) */
+DATA ·KoopConst+4320(SB)/8,$0xa583017cdfcb9f08
+DATA ·KoopConst+4328(SB)/8,$0xeb31d82e0c62ab26
+
+GLOBL ·KoopConst(SB),RODATA,$4336
+
+ /* Barrett constant m - (4^32)/n */
+DATA ·KoopBarConst(SB)/8,$0x0000000017d232cd
+DATA ·KoopBarConst+8(SB)/8,$0x0000000000000000
+DATA ·KoopBarConst+16(SB)/8,$0x00000001d663b05d
+DATA ·KoopBarConst+24(SB)/8,$0x0000000000000000
+GLOBL ·KoopBarConst(SB),RODATA,$32
diff --git a/src/hash/crc32/crc32_test.go b/src/hash/crc32/crc32_test.go
new file mode 100644
index 0000000..f084612
--- /dev/null
+++ b/src/hash/crc32/crc32_test.go
@@ -0,0 +1,342 @@
+// Copyright 2009 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package crc32
+
+import (
+ "encoding"
+ "fmt"
+ "hash"
+ "io"
+ "math/rand"
+ "testing"
+)
+
+// First test, so that it can be the one to initialize castagnoliTable.
+func TestCastagnoliRace(t *testing.T) {
+ // The MakeTable(Castagnoli) lazily initializes castagnoliTable,
+ // which races with the switch on tab during Write to check
+ // whether tab == castagnoliTable.
+ ieee := NewIEEE()
+ go MakeTable(Castagnoli)
+ ieee.Write([]byte("hello"))
+}
+
+type test struct {
+ ieee, castagnoli uint32
+ in string
+ halfStateIEEE string // IEEE marshaled hash state after first half of in written, used by TestGoldenMarshal
+ halfStateCastagnoli string // Castagnoli marshaled hash state after first half of in written, used by TestGoldenMarshal
+}
+
+var golden = []test{
+ {0x0, 0x0, "", "crc\x01ʇ\x91M\x00\x00\x00\x00", "crc\x01wB\x84\x81\x00\x00\x00\x00"},
+ {0xe8b7be43, 0xc1d04330, "a", "crc\x01ʇ\x91M\x00\x00\x00\x00", "crc\x01wB\x84\x81\x00\x00\x00\x00"},
+ {0x9e83486d, 0xe2a22936, "ab", "crc\x01ʇ\x91M跾C", "crc\x01wB\x84\x81\xc1\xd0C0"},
+ {0x352441c2, 0x364b3fb7, "abc", "crc\x01ʇ\x91M跾C", "crc\x01wB\x84\x81\xc1\xd0C0"},
+ {0xed82cd11, 0x92c80a31, "abcd", "crc\x01ʇ\x91M\x9e\x83Hm", "crc\x01wB\x84\x81\xe2\xa2)6"},
+ {0x8587d865, 0xc450d697, "abcde", "crc\x01ʇ\x91M\x9e\x83Hm", "crc\x01wB\x84\x81\xe2\xa2)6"},
+ {0x4b8e39ef, 0x53bceff1, "abcdef", "crc\x01ʇ\x91M5$A\xc2", "crc\x01wB\x84\x816K?\xb7"},
+ {0x312a6aa6, 0xe627f441, "abcdefg", "crc\x01ʇ\x91M5$A\xc2", "crc\x01wB\x84\x816K?\xb7"},
+ {0xaeef2a50, 0xa9421b7, "abcdefgh", "crc\x01ʇ\x91M\xed\x82\xcd\x11", "crc\x01wB\x84\x81\x92\xc8\n1"},
+ {0x8da988af, 0x2ddc99fc, "abcdefghi", "crc\x01ʇ\x91M\xed\x82\xcd\x11", "crc\x01wB\x84\x81\x92\xc8\n1"},
+ {0x3981703a, 0xe6599437, "abcdefghij", "crc\x01ʇ\x91M\x85\x87\xd8e", "crc\x01wB\x84\x81\xc4P֗"},
+ {0x6b9cdfe7, 0xb2cc01fe, "Discard medicine more than two years old.", "crc\x01ʇ\x91M\xfd\xe5\xc2J", "crc\x01wB\x84\x81S\"(\xe0"},
+ {0xc90ef73f, 0xe28207f, "He who has a shady past knows that nice guys finish last.", "crc\x01ʇ\x91M\x01Nj+", "crc\x01wB\x84\x81'\xdaR\x15"},
+ {0xb902341f, 0xbe93f964, "I wouldn't marry him with a ten foot pole.", "crc\x01ʇ\x91M\x9d\x13\xce\x10", "crc\x01wB\x84\x81\xc3\xed\xabG"},
+ {0x42080e8, 0x9e3be0c3, "Free! Free!/A trip/to Mars/for 900/empty jars/Burma Shave", "crc\x01ʇ\x91M-\xed\xf7\x94", "crc\x01wB\x84\x81\xce\xceb\x81"},
+ {0x154c6d11, 0xf505ef04, "The days of the digital watch are numbered. -Tom Stoppard", "crc\x01ʇ\x91MOa\xa5\r", "crc\x01wB\x84\x81\xd3s\x9dP"},
+ {0x4c418325, 0x85d3dc82, "Nepal premier won't resign.", "crc\x01ʇ\x91M\xa8S9\x85", "crc\x01wB\x84\x81{\x90\x8a\x14"},
+ {0x33955150, 0xc5142380, "For every action there is an equal and opposite government program.", "crc\x01ʇ\x91Ma\xe9>\x86", "crc\x01wB\x84\x81\xaa@\xc4\x1c"},
+ {0x26216a4b, 0x75eb77dd, "His money is twice tainted: 'taint yours and 'taint mine.", "crc\x01ʇ\x91M\\\x1an\x88", "crc\x01wB\x84\x81W\a8Z"},
+ {0x1abbe45e, 0x91ebe9f7, "There is no reason for any individual to have a computer in their home. -Ken Olsen, 1977", "crc\x01ʇ\x91M\xb7\xf5\xf2\xca", "crc\x01wB\x84\x81\xc4o\x9d\x85"},
+ {0xc89a94f7, 0xf0b1168e, "It's a tiny change to the code and not completely disgusting. - Bob Manchek", "crc\x01ʇ\x91M\x84g1\xe8", "crc\x01wB\x84\x81#\x98\f\xab"},
+ {0xab3abe14, 0x572b74e2, "size: a.out: bad magic", "crc\x01ʇ\x91M\x8a\x0f\xad\b", "crc\x01wB\x84\x81\x80\xc9n\xd8"},
+ {0xbab102b6, 0x8a58a6d5, "The major problem is with sendmail. -Mark Horton", "crc\x01ʇ\x91M\a\xf0\xb3\x15", "crc\x01wB\x84\x81liS\xcc"},
+ {0x999149d7, 0x9c426c50, "Give me a rock, paper and scissors and I will move the world. CCFestoon", "crc\x01ʇ\x91M\x0fa\xbc.", "crc\x01wB\x84\x81\xdb͏C"},
+ {0x6d52a33c, 0x735400a4, "If the enemy is within range, then so are you.", "crc\x01ʇ\x91My\x1b\x99\xf8", "crc\x01wB\x84\x81\xaaB\x037"},
+ {0x90631e8d, 0xbec49c95, "It's well we cannot hear the screams/That we create in others' dreams.", "crc\x01ʇ\x91M\bqfY", "crc\x01wB\x84\x81\x16y\xa1\xd2"},
+ {0x78309130, 0xa95a2079, "You remind me of a TV show, but that's all right: I watch it anyway.", "crc\x01ʇ\x91M\xbdO,\xc2", "crc\x01wB\x84\x81f&\xc5\xe4"},
+ {0x7d0a377f, 0xde2e65c5, "C is as portable as Stonehedge!!", "crc\x01ʇ\x91M\xf7\xd6\x00\xd5", "crc\x01wB\x84\x81de\\\xf8"},
+ {0x8c79fd79, 0x297a88ed, "Even if I could be Shakespeare, I think I should still choose to be Faraday. - A. Huxley", "crc\x01ʇ\x91Ml+\xb8\xa7", "crc\x01wB\x84\x81\xbf\xd6S\xdd"},
+ {0xa20b7167, 0x66ed1d8b, "The fugacity of a constituent in a mixture of gases at a given temperature is proportional to its mole fraction. Lewis-Randall Rule", "crc\x01ʇ\x91M<lR[", "crc\x01wB\x84\x81{\xaco\xb1"},
+ {0x8e0bb443, 0xdcded527, "How can you write a big system without C++? -Paul Glick", "crc\x01ʇ\x91M\x0e\x88\x89\xed", "crc\x01wB\x84\x813\xd7C\u007f"},
+}
+
+// testGoldenIEEE verifies that the given function returns
+// correct IEEE checksums.
+func testGoldenIEEE(t *testing.T, crcFunc func(b []byte) uint32) {
+ for _, g := range golden {
+ if crc := crcFunc([]byte(g.in)); crc != g.ieee {
+ t.Errorf("IEEE(%s) = 0x%x want 0x%x", g.in, crc, g.ieee)
+ }
+ }
+}
+
+// testGoldenCastagnoli verifies that the given function returns
+// correct IEEE checksums.
+func testGoldenCastagnoli(t *testing.T, crcFunc func(b []byte) uint32) {
+ for _, g := range golden {
+ if crc := crcFunc([]byte(g.in)); crc != g.castagnoli {
+ t.Errorf("Castagnoli(%s) = 0x%x want 0x%x", g.in, crc, g.castagnoli)
+ }
+ }
+}
+
+// testCrossCheck generates random buffers of various lengths and verifies that
+// the two "update" functions return the same result.
+func testCrossCheck(t *testing.T, crcFunc1, crcFunc2 func(crc uint32, b []byte) uint32) {
+ // The AMD64 implementation has some cutoffs at lengths 168*3=504 and
+ // 1344*3=4032. We should make sure lengths around these values are in the
+ // list.
+ lengths := []int{0, 1, 2, 3, 4, 5, 10, 16, 50, 63, 64, 65, 100,
+ 127, 128, 129, 255, 256, 257, 300, 312, 384, 416, 448, 480,
+ 500, 501, 502, 503, 504, 505, 512, 513, 1000, 1024, 2000,
+ 4030, 4031, 4032, 4033, 4036, 4040, 4048, 4096, 5000, 10000}
+ for _, length := range lengths {
+ p := make([]byte, length)
+ _, _ = rand.Read(p)
+ crcInit := uint32(rand.Int63())
+ crc1 := crcFunc1(crcInit, p)
+ crc2 := crcFunc2(crcInit, p)
+ if crc1 != crc2 {
+ t.Errorf("mismatch: 0x%x vs 0x%x (buffer length %d)", crc1, crc2, length)
+ }
+ }
+}
+
+// TestSimple tests the simple generic algorithm.
+func TestSimple(t *testing.T) {
+ tab := simpleMakeTable(IEEE)
+ testGoldenIEEE(t, func(b []byte) uint32 {
+ return simpleUpdate(0, tab, b)
+ })
+
+ tab = simpleMakeTable(Castagnoli)
+ testGoldenCastagnoli(t, func(b []byte) uint32 {
+ return simpleUpdate(0, tab, b)
+ })
+}
+
+func TestGoldenMarshal(t *testing.T) {
+ t.Run("IEEE", func(t *testing.T) {
+ for _, g := range golden {
+ h := New(IEEETable)
+ h2 := New(IEEETable)
+
+ io.WriteString(h, g.in[:len(g.in)/2])
+
+ state, err := h.(encoding.BinaryMarshaler).MarshalBinary()
+ if err != nil {
+ t.Errorf("could not marshal: %v", err)
+ continue
+ }
+
+ if string(state) != g.halfStateIEEE {
+ t.Errorf("IEEE(%q) state = %q, want %q", g.in, state, g.halfStateIEEE)
+ continue
+ }
+
+ if err := h2.(encoding.BinaryUnmarshaler).UnmarshalBinary(state); err != nil {
+ t.Errorf("could not unmarshal: %v", err)
+ continue
+ }
+
+ io.WriteString(h, g.in[len(g.in)/2:])
+ io.WriteString(h2, g.in[len(g.in)/2:])
+
+ if h.Sum32() != h2.Sum32() {
+ t.Errorf("IEEE(%s) = 0x%x != marshaled 0x%x", g.in, h.Sum32(), h2.Sum32())
+ }
+ }
+ })
+ t.Run("Castagnoli", func(t *testing.T) {
+ table := MakeTable(Castagnoli)
+ for _, g := range golden {
+ h := New(table)
+ h2 := New(table)
+
+ io.WriteString(h, g.in[:len(g.in)/2])
+
+ state, err := h.(encoding.BinaryMarshaler).MarshalBinary()
+ if err != nil {
+ t.Errorf("could not marshal: %v", err)
+ continue
+ }
+
+ if string(state) != g.halfStateCastagnoli {
+ t.Errorf("Castagnoli(%q) state = %q, want %q", g.in, state, g.halfStateCastagnoli)
+ continue
+ }
+
+ if err := h2.(encoding.BinaryUnmarshaler).UnmarshalBinary(state); err != nil {
+ t.Errorf("could not unmarshal: %v", err)
+ continue
+ }
+
+ io.WriteString(h, g.in[len(g.in)/2:])
+ io.WriteString(h2, g.in[len(g.in)/2:])
+
+ if h.Sum32() != h2.Sum32() {
+ t.Errorf("Castagnoli(%s) = 0x%x != marshaled 0x%x", g.in, h.Sum32(), h2.Sum32())
+ }
+ }
+ })
+}
+
+func TestMarshalTableMismatch(t *testing.T) {
+ h1 := New(IEEETable)
+ h2 := New(MakeTable(Castagnoli))
+
+ state1, err := h1.(encoding.BinaryMarshaler).MarshalBinary()
+ if err != nil {
+ t.Errorf("could not marshal: %v", err)
+ }
+
+ if err := h2.(encoding.BinaryUnmarshaler).UnmarshalBinary(state1); err == nil {
+ t.Errorf("no error when one was expected")
+ }
+}
+
+// TestSimple tests the slicing-by-8 algorithm.
+func TestSlicing(t *testing.T) {
+ tab := slicingMakeTable(IEEE)
+ testGoldenIEEE(t, func(b []byte) uint32 {
+ return slicingUpdate(0, tab, b)
+ })
+
+ tab = slicingMakeTable(Castagnoli)
+ testGoldenCastagnoli(t, func(b []byte) uint32 {
+ return slicingUpdate(0, tab, b)
+ })
+
+ // Cross-check various polys against the simple algorithm.
+ for _, poly := range []uint32{IEEE, Castagnoli, Koopman, 0xD5828281} {
+ t1 := simpleMakeTable(poly)
+ f1 := func(crc uint32, b []byte) uint32 {
+ return simpleUpdate(crc, t1, b)
+ }
+ t2 := slicingMakeTable(poly)
+ f2 := func(crc uint32, b []byte) uint32 {
+ return slicingUpdate(crc, t2, b)
+ }
+ testCrossCheck(t, f1, f2)
+ }
+}
+
+func TestArchIEEE(t *testing.T) {
+ if !archAvailableIEEE() {
+ t.Skip("Arch-specific IEEE not available.")
+ }
+ archInitIEEE()
+ slicingTable := slicingMakeTable(IEEE)
+ testCrossCheck(t, archUpdateIEEE, func(crc uint32, b []byte) uint32 {
+ return slicingUpdate(crc, slicingTable, b)
+ })
+}
+
+func TestArchCastagnoli(t *testing.T) {
+ if !archAvailableCastagnoli() {
+ t.Skip("Arch-specific Castagnoli not available.")
+ }
+ archInitCastagnoli()
+ slicingTable := slicingMakeTable(Castagnoli)
+ testCrossCheck(t, archUpdateCastagnoli, func(crc uint32, b []byte) uint32 {
+ return slicingUpdate(crc, slicingTable, b)
+ })
+}
+
+func TestGolden(t *testing.T) {
+ testGoldenIEEE(t, ChecksumIEEE)
+
+ // Some implementations have special code to deal with misaligned
+ // data; test that as well.
+ for delta := 1; delta <= 7; delta++ {
+ testGoldenIEEE(t, func(b []byte) uint32 {
+ ieee := NewIEEE()
+ d := delta
+ if d >= len(b) {
+ d = len(b)
+ }
+ ieee.Write(b[:d])
+ ieee.Write(b[d:])
+ return ieee.Sum32()
+ })
+ }
+
+ castagnoliTab := MakeTable(Castagnoli)
+ if castagnoliTab == nil {
+ t.Errorf("nil Castagnoli Table")
+ }
+
+ testGoldenCastagnoli(t, func(b []byte) uint32 {
+ castagnoli := New(castagnoliTab)
+ castagnoli.Write(b)
+ return castagnoli.Sum32()
+ })
+
+ // Some implementations have special code to deal with misaligned
+ // data; test that as well.
+ for delta := 1; delta <= 7; delta++ {
+ testGoldenCastagnoli(t, func(b []byte) uint32 {
+ castagnoli := New(castagnoliTab)
+ d := delta
+ if d >= len(b) {
+ d = len(b)
+ }
+ castagnoli.Write(b[:d])
+ castagnoli.Write(b[d:])
+ return castagnoli.Sum32()
+ })
+ }
+}
+
+func BenchmarkCRC32(b *testing.B) {
+ b.Run("poly=IEEE", benchmarkAll(NewIEEE()))
+ b.Run("poly=Castagnoli", benchmarkAll(New(MakeTable(Castagnoli))))
+ b.Run("poly=Koopman", benchmarkAll(New(MakeTable(Koopman))))
+}
+
+func benchmarkAll(h hash.Hash32) func(b *testing.B) {
+ return func(b *testing.B) {
+ for _, size := range []int{15, 40, 512, 1 << 10, 4 << 10, 32 << 10} {
+ name := fmt.Sprint(size)
+ if size >= 1024 {
+ name = fmt.Sprintf("%dkB", size/1024)
+ }
+ b.Run("size="+name, func(b *testing.B) {
+ for align := 0; align <= 1; align++ {
+ b.Run(fmt.Sprintf("align=%d", align), func(b *testing.B) {
+ benchmark(b, h, int64(size), int64(align))
+ })
+ }
+ })
+ }
+ }
+}
+
+func benchmark(b *testing.B, h hash.Hash32, n, alignment int64) {
+ b.SetBytes(n)
+ data := make([]byte, n+alignment)
+ data = data[alignment:]
+ for i := range data {
+ data[i] = byte(i)
+ }
+ in := make([]byte, 0, h.Size())
+
+ // Warm up
+ h.Reset()
+ h.Write(data)
+ h.Sum(in)
+ // Avoid further allocations
+ in = in[:0]
+
+ b.ResetTimer()
+ for i := 0; i < b.N; i++ {
+ h.Reset()
+ h.Write(data)
+ h.Sum(in)
+ in = in[:0]
+ }
+}
diff --git a/src/hash/crc32/example_test.go b/src/hash/crc32/example_test.go
new file mode 100644
index 0000000..621bf83
--- /dev/null
+++ b/src/hash/crc32/example_test.go
@@ -0,0 +1,28 @@
+// Copyright 2015 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package crc32_test
+
+import (
+ "fmt"
+ "hash/crc32"
+)
+
+func ExampleMakeTable() {
+ // In this package, the CRC polynomial is represented in reversed notation,
+ // or LSB-first representation.
+ //
+ // LSB-first representation is a hexadecimal number with n bits, in which the
+ // most significant bit represents the coefficient of x⁰ and the least significant
+ // bit represents the coefficient of xⁿ⁻¹ (the coefficient for xⁿ is implicit).
+ //
+ // For example, CRC32-Q, as defined by the following polynomial,
+ // x³²+ x³¹+ x²⁴+ x²²+ x¹⁶+ x¹⁴+ x⁸+ x⁷+ x⁵+ x³+ x¹+ x⁰
+ // has the reversed notation 0b11010101100000101000001010000001, so the value
+ // that should be passed to MakeTable is 0xD5828281.
+ crc32q := crc32.MakeTable(0xD5828281)
+ fmt.Printf("%08x\n", crc32.Checksum([]byte("Hello world"), crc32q))
+ // Output:
+ // 2964d064
+}
diff --git a/src/hash/crc32/gen_const_ppc64le.go b/src/hash/crc32/gen_const_ppc64le.go
new file mode 100644
index 0000000..2f15a60
--- /dev/null
+++ b/src/hash/crc32/gen_const_ppc64le.go
@@ -0,0 +1,150 @@
+// Copyright 2017 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+//go:build ignore
+
+// Generate the constant table associated with the poly used by the
+// vpmsumd crc32 algorithm.
+//
+// go run gen_const_ppc64le.go
+//
+// generates crc32_table_ppc64le.s
+
+// The following is derived from code written by Anton Blanchard
+// <anton@au.ibm.com> found at https://github.com/antonblanchard/crc32-vpmsum.
+// The original is dual licensed under GPL and Apache 2. As the copyright holder
+// for the work, IBM has contributed this new work under the golang license.
+
+// This code was written in Go based on the original C implementation.
+
+// This is a tool needed to generate the appropriate constants needed for
+// the vpmsum algorithm. It is included to generate new constant tables if
+// new polynomial values are included in the future.
+
+package main
+
+import (
+ "bytes"
+ "fmt"
+ "os"
+)
+
+var blocking = 32 * 1024
+
+func reflect_bits(b uint64, nr uint) uint64 {
+ var ref uint64
+
+ for bit := uint64(0); bit < uint64(nr); bit++ {
+ if (b & uint64(1)) == 1 {
+ ref |= (1 << (uint64(nr-1) - bit))
+ }
+ b = (b >> 1)
+ }
+ return ref
+}
+
+func get_remainder(poly uint64, deg uint, n uint) uint64 {
+
+ rem, _ := xnmodp(n, poly, deg)
+ return rem
+}
+
+func get_quotient(poly uint64, bits, n uint) uint64 {
+
+ _, div := xnmodp(n, poly, bits)
+ return div
+}
+
+// xnmodp returns two values, p and div:
+// p is the representation of the binary polynomial x**n mod (x ** deg + "poly")
+// That is p is the binary representation of the modulus polynomial except for its highest-order term.
+// div is the binary representation of the polynomial x**n / (x ** deg + "poly")
+func xnmodp(n uint, poly uint64, deg uint) (uint64, uint64) {
+
+ var mod, mask, high, div uint64
+
+ if n < deg {
+ div = 0
+ return poly, div
+ }
+ mask = 1<<deg - 1
+ poly &= mask
+ mod = poly
+ div = 1
+ deg--
+ n--
+ for n > deg {
+ high = (mod >> deg) & 1
+ div = (div << 1) | high
+ mod <<= 1
+ if high != 0 {
+ mod ^= poly
+ }
+ n--
+ }
+ return mod & mask, div
+}
+
+func main() {
+ w := new(bytes.Buffer)
+
+ fmt.Fprintf(w, "// autogenerated: do not edit!\n")
+ fmt.Fprintf(w, "// generated from crc32/gen_const_ppc64le.go\n")
+ fmt.Fprintln(w)
+ fmt.Fprintf(w, "#include \"textflag.h\"\n")
+
+ // These are the polynomials supported in vector now.
+ // If adding others, include the polynomial and a name
+ // to identify it.
+
+ genCrc32ConstTable(w, 0xedb88320, "IEEE")
+ genCrc32ConstTable(w, 0x82f63b78, "Cast")
+ genCrc32ConstTable(w, 0xeb31d82e, "Koop")
+ b := w.Bytes()
+
+ err := os.WriteFile("crc32_table_ppc64le.s", b, 0666)
+ if err != nil {
+ fmt.Printf("can't write output: %s\n", err)
+ }
+}
+
+func genCrc32ConstTable(w *bytes.Buffer, poly uint32, polyid string) {
+
+ ref_poly := reflect_bits(uint64(poly), 32)
+ fmt.Fprintf(w, "\n\t/* Reduce %d kbits to 1024 bits */\n", blocking*8)
+ j := 0
+ for i := (blocking * 8) - 1024; i > 0; i -= 1024 {
+ a := reflect_bits(get_remainder(ref_poly, 32, uint(i)), 32) << 1
+ b := reflect_bits(get_remainder(ref_poly, 32, uint(i+64)), 32) << 1
+
+ fmt.Fprintf(w, "\t/* x^%d mod p(x)%s, x^%d mod p(x)%s */\n", uint(i+64), "", uint(i), "")
+ fmt.Fprintf(w, "DATA ·%sConst+%d(SB)/8,$0x%016x\n", polyid, j*8, b)
+ fmt.Fprintf(w, "DATA ·%sConst+%d(SB)/8,$0x%016x\n", polyid, (j+1)*8, a)
+
+ j += 2
+ fmt.Fprintf(w, "\n")
+ }
+
+ for i := (1024 * 2) - 128; i >= 0; i -= 128 {
+ a := reflect_bits(get_remainder(ref_poly, 32, uint(i+32)), 32)
+ b := reflect_bits(get_remainder(ref_poly, 32, uint(i+64)), 32)
+ c := reflect_bits(get_remainder(ref_poly, 32, uint(i+96)), 32)
+ d := reflect_bits(get_remainder(ref_poly, 32, uint(i+128)), 32)
+
+ fmt.Fprintf(w, "\t/* x^%d mod p(x)%s, x^%d mod p(x)%s, x^%d mod p(x)%s, x^%d mod p(x)%s */\n", i+128, "", i+96, "", i+64, "", i+32, "")
+ fmt.Fprintf(w, "DATA ·%sConst+%d(SB)/8,$0x%08x%08x\n", polyid, j*8, c, d)
+ fmt.Fprintf(w, "DATA ·%sConst+%d(SB)/8,$0x%08x%08x\n", polyid, (j+1)*8, a, b)
+
+ j += 2
+ fmt.Fprintf(w, "\n")
+ }
+
+ fmt.Fprintf(w, "GLOBL ·%sConst(SB),RODATA,$4336\n", polyid)
+ fmt.Fprintf(w, "\n /* Barrett constant m - (4^32)/n */\n")
+ fmt.Fprintf(w, "DATA ·%sBarConst(SB)/8,$0x%016x\n", polyid, reflect_bits(get_quotient(ref_poly, 32, 64), 33))
+ fmt.Fprintf(w, "DATA ·%sBarConst+8(SB)/8,$0x0000000000000000\n", polyid)
+ fmt.Fprintf(w, "DATA ·%sBarConst+16(SB)/8,$0x%016x\n", polyid, reflect_bits((uint64(1)<<32)|ref_poly, 33)) // reflected?
+ fmt.Fprintf(w, "DATA ·%sBarConst+24(SB)/8,$0x0000000000000000\n", polyid)
+ fmt.Fprintf(w, "GLOBL ·%sBarConst(SB),RODATA,$32\n", polyid)
+}
diff --git a/src/hash/crc64/crc64.go b/src/hash/crc64/crc64.go
new file mode 100644
index 0000000..26b2573
--- /dev/null
+++ b/src/hash/crc64/crc64.go
@@ -0,0 +1,226 @@
+// Copyright 2009 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Package crc64 implements the 64-bit cyclic redundancy check, or CRC-64,
+// checksum. See https://en.wikipedia.org/wiki/Cyclic_redundancy_check for
+// information.
+package crc64
+
+import (
+ "errors"
+ "hash"
+ "sync"
+)
+
+// The size of a CRC-64 checksum in bytes.
+const Size = 8
+
+// Predefined polynomials.
+const (
+ // The ISO polynomial, defined in ISO 3309 and used in HDLC.
+ ISO = 0xD800000000000000
+
+ // The ECMA polynomial, defined in ECMA 182.
+ ECMA = 0xC96C5795D7870F42
+)
+
+// Table is a 256-word table representing the polynomial for efficient processing.
+type Table [256]uint64
+
+var (
+ slicing8TablesBuildOnce sync.Once
+ slicing8TableISO *[8]Table
+ slicing8TableECMA *[8]Table
+)
+
+func buildSlicing8TablesOnce() {
+ slicing8TablesBuildOnce.Do(buildSlicing8Tables)
+}
+
+func buildSlicing8Tables() {
+ slicing8TableISO = makeSlicingBy8Table(makeTable(ISO))
+ slicing8TableECMA = makeSlicingBy8Table(makeTable(ECMA))
+}
+
+// MakeTable returns a Table constructed from the specified polynomial.
+// The contents of this Table must not be modified.
+func MakeTable(poly uint64) *Table {
+ buildSlicing8TablesOnce()
+ switch poly {
+ case ISO:
+ return &slicing8TableISO[0]
+ case ECMA:
+ return &slicing8TableECMA[0]
+ default:
+ return makeTable(poly)
+ }
+}
+
+func makeTable(poly uint64) *Table {
+ t := new(Table)
+ for i := 0; i < 256; i++ {
+ crc := uint64(i)
+ for j := 0; j < 8; j++ {
+ if crc&1 == 1 {
+ crc = (crc >> 1) ^ poly
+ } else {
+ crc >>= 1
+ }
+ }
+ t[i] = crc
+ }
+ return t
+}
+
+func makeSlicingBy8Table(t *Table) *[8]Table {
+ var helperTable [8]Table
+ helperTable[0] = *t
+ for i := 0; i < 256; i++ {
+ crc := t[i]
+ for j := 1; j < 8; j++ {
+ crc = t[crc&0xff] ^ (crc >> 8)
+ helperTable[j][i] = crc
+ }
+ }
+ return &helperTable
+}
+
+// digest represents the partial evaluation of a checksum.
+type digest struct {
+ crc uint64
+ tab *Table
+}
+
+// New creates a new hash.Hash64 computing the CRC-64 checksum using the
+// polynomial represented by the Table. Its Sum method will lay the
+// value out in big-endian byte order. The returned Hash64 also
+// implements encoding.BinaryMarshaler and encoding.BinaryUnmarshaler to
+// marshal and unmarshal the internal state of the hash.
+func New(tab *Table) hash.Hash64 { return &digest{0, tab} }
+
+func (d *digest) Size() int { return Size }
+
+func (d *digest) BlockSize() int { return 1 }
+
+func (d *digest) Reset() { d.crc = 0 }
+
+const (
+ magic = "crc\x02"
+ marshaledSize = len(magic) + 8 + 8
+)
+
+func (d *digest) MarshalBinary() ([]byte, error) {
+ b := make([]byte, 0, marshaledSize)
+ b = append(b, magic...)
+ b = appendUint64(b, tableSum(d.tab))
+ b = appendUint64(b, d.crc)
+ return b, nil
+}
+
+func (d *digest) UnmarshalBinary(b []byte) error {
+ if len(b) < len(magic) || string(b[:len(magic)]) != magic {
+ return errors.New("hash/crc64: invalid hash state identifier")
+ }
+ if len(b) != marshaledSize {
+ return errors.New("hash/crc64: invalid hash state size")
+ }
+ if tableSum(d.tab) != readUint64(b[4:]) {
+ return errors.New("hash/crc64: tables do not match")
+ }
+ d.crc = readUint64(b[12:])
+ return nil
+}
+
+func appendUint64(b []byte, x uint64) []byte {
+ a := [8]byte{
+ byte(x >> 56),
+ byte(x >> 48),
+ byte(x >> 40),
+ byte(x >> 32),
+ byte(x >> 24),
+ byte(x >> 16),
+ byte(x >> 8),
+ byte(x),
+ }
+ return append(b, a[:]...)
+}
+
+func readUint64(b []byte) uint64 {
+ _ = b[7]
+ return uint64(b[7]) | uint64(b[6])<<8 | uint64(b[5])<<16 | uint64(b[4])<<24 |
+ uint64(b[3])<<32 | uint64(b[2])<<40 | uint64(b[1])<<48 | uint64(b[0])<<56
+}
+
+func update(crc uint64, tab *Table, p []byte) uint64 {
+ buildSlicing8TablesOnce()
+ crc = ^crc
+ // Table comparison is somewhat expensive, so avoid it for small sizes
+ for len(p) >= 64 {
+ var helperTable *[8]Table
+ if *tab == slicing8TableECMA[0] {
+ helperTable = slicing8TableECMA
+ } else if *tab == slicing8TableISO[0] {
+ helperTable = slicing8TableISO
+ // For smaller sizes creating extended table takes too much time
+ } else if len(p) >= 2048 {
+ // According to the tests between various x86 and arm CPUs, 2k is a reasonable
+ // threshold for now. This may change in the future.
+ helperTable = makeSlicingBy8Table(tab)
+ } else {
+ break
+ }
+ // Update using slicing-by-8
+ for len(p) > 8 {
+ crc ^= uint64(p[0]) | uint64(p[1])<<8 | uint64(p[2])<<16 | uint64(p[3])<<24 |
+ uint64(p[4])<<32 | uint64(p[5])<<40 | uint64(p[6])<<48 | uint64(p[7])<<56
+ crc = helperTable[7][crc&0xff] ^
+ helperTable[6][(crc>>8)&0xff] ^
+ helperTable[5][(crc>>16)&0xff] ^
+ helperTable[4][(crc>>24)&0xff] ^
+ helperTable[3][(crc>>32)&0xff] ^
+ helperTable[2][(crc>>40)&0xff] ^
+ helperTable[1][(crc>>48)&0xff] ^
+ helperTable[0][crc>>56]
+ p = p[8:]
+ }
+ }
+ // For reminders or small sizes
+ for _, v := range p {
+ crc = tab[byte(crc)^v] ^ (crc >> 8)
+ }
+ return ^crc
+}
+
+// Update returns the result of adding the bytes in p to the crc.
+func Update(crc uint64, tab *Table, p []byte) uint64 {
+ return update(crc, tab, p)
+}
+
+func (d *digest) Write(p []byte) (n int, err error) {
+ d.crc = update(d.crc, d.tab, p)
+ return len(p), nil
+}
+
+func (d *digest) Sum64() uint64 { return d.crc }
+
+func (d *digest) Sum(in []byte) []byte {
+ s := d.Sum64()
+ return append(in, byte(s>>56), byte(s>>48), byte(s>>40), byte(s>>32), byte(s>>24), byte(s>>16), byte(s>>8), byte(s))
+}
+
+// Checksum returns the CRC-64 checksum of data
+// using the polynomial represented by the Table.
+func Checksum(data []byte, tab *Table) uint64 { return update(0, tab, data) }
+
+// tableSum returns the ISO checksum of table t.
+func tableSum(t *Table) uint64 {
+ var a [2048]byte
+ b := a[:0]
+ if t != nil {
+ for _, x := range t {
+ b = appendUint64(b, x)
+ }
+ }
+ return Checksum(b, MakeTable(ISO))
+}
diff --git a/src/hash/crc64/crc64_test.go b/src/hash/crc64/crc64_test.go
new file mode 100644
index 0000000..9cf602c
--- /dev/null
+++ b/src/hash/crc64/crc64_test.go
@@ -0,0 +1,193 @@
+// Copyright 2009 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package crc64
+
+import (
+ "encoding"
+ "io"
+ "testing"
+)
+
+type test struct {
+ outISO uint64
+ outECMA uint64
+ in string
+ halfStateISO string // ISO marshaled hash state after first half of in written, used by TestGoldenMarshal
+ halfStateECMA string // ECMA marshaled hash state after first half of in written, used by TestGoldenMarshal
+}
+
+var golden = []test{
+ {0x0, 0x0, "", "crc\x02s\xba\x84\x84\xbb\xcd]\xef\x00\x00\x00\x00\x00\x00\x00\x00", "crc\x02`&\x9aR\xe1\xb7\xfee\x00\x00\x00\x00\x00\x00\x00\x00"},
+ {0x3420000000000000, 0x330284772e652b05, "a", "crc\x02s\xba\x84\x84\xbb\xcd]\xef\x00\x00\x00\x00\x00\x00\x00\x00", "crc\x02`&\x9aR\xe1\xb7\xfee\x00\x00\x00\x00\x00\x00\x00\x00"},
+ {0x36c4200000000000, 0xbc6573200e84b046, "ab", "crc\x02s\xba\x84\x84\xbb\xcd]\xef4 \x00\x00\x00\x00\x00\x00", "crc\x02`&\x9aR\xe1\xb7\xfee3\x02\x84w.e+\x05"},
+ {0x3776c42000000000, 0x2cd8094a1a277627, "abc", "crc\x02s\xba\x84\x84\xbb\xcd]\xef4 \x00\x00\x00\x00\x00\x00", "crc\x02`&\x9aR\xe1\xb7\xfee3\x02\x84w.e+\x05"},
+ {0x336776c420000000, 0x3c9d28596e5960ba, "abcd", "crc\x02s\xba\x84\x84\xbb\xcd]\xef6\xc4 \x00\x00\x00\x00\x00", "crc\x02`&\x9aR\xe1\xb7\xfee\xbces \x0e\x84\xb0F"},
+ {0x32d36776c4200000, 0x40bdf58fb0895f2, "abcde", "crc\x02s\xba\x84\x84\xbb\xcd]\xef6\xc4 \x00\x00\x00\x00\x00", "crc\x02`&\x9aR\xe1\xb7\xfee\xbces \x0e\x84\xb0F"},
+ {0x3002d36776c42000, 0xd08e9f8545a700f4, "abcdef", "crc\x02s\xba\x84\x84\xbb\xcd]\xef7v\xc4 \x00\x00\x00\x00", "crc\x02`&\x9aR\xe1\xb7\xfee,\xd8\tJ\x1a'v'"},
+ {0x31b002d36776c420, 0xec20a3a8cc710e66, "abcdefg", "crc\x02s\xba\x84\x84\xbb\xcd]\xef7v\xc4 \x00\x00\x00\x00", "crc\x02`&\x9aR\xe1\xb7\xfee,\xd8\tJ\x1a'v'"},
+ {0xe21b002d36776c4, 0x67b4f30a647a0c59, "abcdefgh", "crc\x02s\xba\x84\x84\xbb\xcd]\xef3gv\xc4 \x00\x00\x00", "crc\x02`&\x9aR\xe1\xb7\xfee<\x9d(YnY`\xba"},
+ {0x8b6e21b002d36776, 0x9966f6c89d56ef8e, "abcdefghi", "crc\x02s\xba\x84\x84\xbb\xcd]\xef3gv\xc4 \x00\x00\x00", "crc\x02`&\x9aR\xe1\xb7\xfee<\x9d(YnY`\xba"},
+ {0x7f5b6e21b002d367, 0x32093a2ecd5773f4, "abcdefghij", "crc\x02s\xba\x84\x84\xbb\xcd]\xef2\xd3gv\xc4 \x00\x00", "crc\x02`&\x9aR\xe1\xb7\xfee\x04\v\xdfX\xfb\b\x95\xf2"},
+ {0x8ec0e7c835bf9cdf, 0x8a0825223ea6d221, "Discard medicine more than two years old.", "crc\x02s\xba\x84\x84\xbb\xcd]\xef\xc6\xc0\f\xac'\x11\x12\xd5", "crc\x02`&\x9aR\xe1\xb7\xfee\xfd%\xc0&\xa0R\xef\x95"},
+ {0xc7db1759e2be5ab4, 0x8562c0ac2ab9a00d, "He who has a shady past knows that nice guys finish last.", "crc\x02s\xba\x84\x84\xbb\xcd]\xef\t\xcb\xd15X[r\t", "crc\x02`&\x9aR\xe1\xb7\xfee\a\x02\xe8|+\xc1\x06\xe3"},
+ {0xfbf9d9603a6fa020, 0x3ee2a39c083f38b4, "I wouldn't marry him with a ten foot pole.", "crc\x02s\xba\x84\x84\xbb\xcd]\xef\x19\xc8d\xbe\x84\x14\x87_", "crc\x02`&\x9aR\xe1\xb7\xfee˷\xd3\xeeG\xdcE\x8c"},
+ {0xeafc4211a6daa0ef, 0x1f603830353e518a, "Free! Free!/A trip/to Mars/for 900/empty jars/Burma Shave", "crc\x02s\xba\x84\x84\xbb\xcd]\xef\xad\x1b*\xc0\xb1\xf3i(", "crc\x02`&\x9aR\xe1\xb7\xfee\xa7\x8a\xdb\xf6\xd2R\t\x96"},
+ {0x3e05b21c7a4dc4da, 0x2fd681d7b2421fd, "The days of the digital watch are numbered. -Tom Stoppard", "crc\x02s\xba\x84\x84\xbb\xcd]\xefv78\x1ak\x02\x8f\xff", "crc\x02`&\x9aR\xe1\xb7\xfeeT\xcbl\x10\xfb\x87K*"},
+ {0x5255866ad6ef28a6, 0x790ef2b16a745a41, "Nepal premier won't resign.", "crc\x02s\xba\x84\x84\xbb\xcd]\xef\xcbf\x11R\xbfh\xde\xc9", "crc\x02`&\x9aR\xe1\xb7\xfee6\x13ُ\x06_\xbd\x9a"},
+ {0x8a79895be1e9c361, 0x3ef8f06daccdcddf, "For every action there is an equal and opposite government program.", "crc\x02s\xba\x84\x84\xbb\xcd]\xef\xf3pV\x01c_Wu", "crc\x02`&\x9aR\xe1\xb7\xfee\xe7\xc6\n\b\x12FL\xa0"},
+ {0x8878963a649d4916, 0x49e41b2660b106d, "His money is twice tainted: 'taint yours and 'taint mine.", "crc\x02s\xba\x84\x84\xbb\xcd]\xefñ\xff\xf1\xe0/Δ", "crc\x02`&\x9aR\xe1\xb7\xfeeOL/\xb1\xec\xa2\x14\x87"},
+ {0xa7b9d53ea87eb82f, 0x561cc0cfa235ac68, "There is no reason for any individual to have a computer in their home. -Ken Olsen, 1977", "crc\x02s\xba\x84\x84\xbb\xcd]\xefݸa\xe1\xb5\xf8\xb9W", "crc\x02`&\x9aR\xe1\xb7\xfee\x87)GQ\x03\xf4K\t"},
+ {0xdb6805c0966a2f9c, 0xd4fe9ef082e69f59, "It's a tiny change to the code and not completely disgusting. - Bob Manchek", "crc\x02s\xba\x84\x84\xbb\xcd]\xefV\xba\x12\x91\x81\x1fNU", "crc\x02`&\x9aR\xe1\xb7\xfee\n\xb8\x81v?\xdeL\xcb"},
+ {0xf3553c65dacdadd2, 0xe3b5e46cd8d63a4d, "size: a.out: bad magic", "crc\x02s\xba\x84\x84\xbb\xcd]\xefG\xad\xbc\xb2\xa8y\xc9\xdc", "crc\x02`&\x9aR\xe1\xb7\xfee\xcc\xce\xe5\xe6\x89p\x01\xb8"},
+ {0x9d5e034087a676b9, 0x865aaf6b94f2a051, "The major problem is with sendmail. -Mark Horton", "crc\x02s\xba\x84\x84\xbb\xcd]\uf8acn\x8aT;&\xd5", "crc\x02`&\x9aR\xe1\xb7\xfeeFf\x9c\x1f\xc9x\xbfa"},
+ {0xa6db2d7f8da96417, 0x7eca10d2f8136eb4, "Give me a rock, paper and scissors and I will move the world. CCFestoon", "crc\x02s\xba\x84\x84\xbb\xcd]\xef\xeb\x18\xbf\xf9}\x91\xe5|", "crc\x02`&\x9aR\xe1\xb7\xfeea\x9e\x05:\xce[\xe7\x19"},
+ {0x325e00cd2fe819f9, 0xd7dd118c98e98727, "If the enemy is within range, then so are you.", "crc\x02s\xba\x84\x84\xbb\xcd]\xef^5k\xd0Aj_{", "crc\x02`&\x9aR\xe1\xb7\xfee\v#\x99\xa8r\x83YR"},
+ {0x88c6600ce58ae4c6, 0x70fb33c119c29318, "It's well we cannot hear the screams/That we create in others' dreams.", "crc\x02s\xba\x84\x84\xbb\xcd]\xef|\xb5\x02\xdcw\x18/\x86", "crc\x02`&\x9aR\xe1\xb7\xfee]\x9d-\xed\x8c\xf9r9"},
+ {0x28c4a3f3b769e078, 0x57c891e39a97d9b7, "You remind me of a TV show, but that's all right: I watch it anyway.", "crc\x02s\xba\x84\x84\xbb\xcd]\xef\x03\x8bd\x1c\xb0_\x16\x98", "crc\x02`&\x9aR\xe1\xb7\xfee\xafW\x98\xaa\"\xe7\xd7|"},
+ {0xa698a34c9d9f1dca, 0xa1f46ba20ad06eb7, "C is as portable as Stonehedge!!", "crc\x02s\xba\x84\x84\xbb\xcd]\xef.P\xe1I\xc6pi\xdc", "crc\x02`&\x9aR\xe1\xb7\xfee֚\x06\x01(\xc0\x1e\x8b"},
+ {0xf6c1e2a8c26c5cfc, 0x7ad25fafa1710407, "Even if I could be Shakespeare, I think I should still choose to be Faraday. - A. Huxley", "crc\x02s\xba\x84\x84\xbb\xcd]\xef\xf7\xa04\x8a\xf2o\xe0;", "crc\x02`&\x9aR\xe1\xb7\xfee<[\xd2%\x9em\x94\x04"},
+ {0xd402559dfe9b70c, 0x73cef1666185c13f, "The fugacity of a constituent in a mixture of gases at a given temperature is proportional to its mole fraction. Lewis-Randall Rule", "crc\x02s\xba\x84\x84\xbb\xcd]\xef\u007f\xae\xb9\xbaX=\x19v", "crc\x02`&\x9aR\xe1\xb7\xfee\xb2˦Y\xc5\xd0G\x03"},
+ {0xdb6efff26aa94946, 0xb41858f73c389602, "How can you write a big system without C++? -Paul Glick", "crc\x02s\xba\x84\x84\xbb\xcd]\xefa\xed$js\xb9\xa5A", "crc\x02`&\x9aR\xe1\xb7\xfeeZm\x96\x8a\xe2\xaf\x13p"},
+ {0xe7fcf1006b503b61, 0x27db187fc15bbc72, "This is a test of the emergency broadcast system.", "crc\x02s\xba\x84\x84\xbb\xcd]\xef}\xee[q\x16\xcb\xe4\x8d", "crc\x02`&\x9aR\xe1\xb7\xfee\xb1\x93] \xeb\xa9am"},
+}
+
+func TestGolden(t *testing.T) {
+ tabISO := MakeTable(ISO)
+ tabECMA := MakeTable(ECMA)
+ for i := 0; i < len(golden); i++ {
+ g := golden[i]
+ c := New(tabISO)
+ io.WriteString(c, g.in)
+ s := c.Sum64()
+ if s != g.outISO {
+ t.Fatalf("ISO crc64(%s) = 0x%x want 0x%x", g.in, s, g.outISO)
+ }
+ c = New(tabECMA)
+ io.WriteString(c, g.in)
+ s = c.Sum64()
+ if s != g.outECMA {
+ t.Fatalf("ECMA crc64(%s) = 0x%x want 0x%x", g.in, s, g.outECMA)
+ }
+ }
+}
+
+func TestGoldenMarshal(t *testing.T) {
+ t.Run("ISO", func(t *testing.T) {
+ table := MakeTable(ISO)
+ for _, g := range golden {
+ h := New(table)
+ h2 := New(table)
+
+ io.WriteString(h, g.in[:len(g.in)/2])
+
+ state, err := h.(encoding.BinaryMarshaler).MarshalBinary()
+ if err != nil {
+ t.Errorf("could not marshal: %v", err)
+ continue
+ }
+
+ if string(state) != g.halfStateISO {
+ t.Errorf("ISO crc64(%q) state = %q, want %q", g.in, state, g.halfStateISO)
+ continue
+ }
+
+ if err := h2.(encoding.BinaryUnmarshaler).UnmarshalBinary(state); err != nil {
+ t.Errorf("could not unmarshal: %v", err)
+ continue
+ }
+
+ io.WriteString(h, g.in[len(g.in)/2:])
+ io.WriteString(h2, g.in[len(g.in)/2:])
+
+ if h.Sum64() != h2.Sum64() {
+ t.Errorf("ISO crc64(%s) = 0x%x != marshaled (0x%x)", g.in, h.Sum64(), h2.Sum64())
+ }
+ }
+ })
+ t.Run("ECMA", func(t *testing.T) {
+ table := MakeTable(ECMA)
+ for _, g := range golden {
+ h := New(table)
+ h2 := New(table)
+
+ io.WriteString(h, g.in[:len(g.in)/2])
+
+ state, err := h.(encoding.BinaryMarshaler).MarshalBinary()
+ if err != nil {
+ t.Errorf("could not marshal: %v", err)
+ continue
+ }
+
+ if string(state) != g.halfStateECMA {
+ t.Errorf("ECMA crc64(%q) state = %q, want %q", g.in, state, g.halfStateECMA)
+ continue
+ }
+
+ if err := h2.(encoding.BinaryUnmarshaler).UnmarshalBinary(state); err != nil {
+ t.Errorf("could not unmarshal: %v", err)
+ continue
+ }
+
+ io.WriteString(h, g.in[len(g.in)/2:])
+ io.WriteString(h2, g.in[len(g.in)/2:])
+
+ if h.Sum64() != h2.Sum64() {
+ t.Errorf("ECMA crc64(%s) = 0x%x != marshaled (0x%x)", g.in, h.Sum64(), h2.Sum64())
+ }
+ }
+ })
+}
+
+func TestMarshalTableMismatch(t *testing.T) {
+ h1 := New(MakeTable(ISO))
+ h2 := New(MakeTable(ECMA))
+
+ state1, err := h1.(encoding.BinaryMarshaler).MarshalBinary()
+ if err != nil {
+ t.Errorf("could not marshal: %v", err)
+ }
+
+ if err := h2.(encoding.BinaryUnmarshaler).UnmarshalBinary(state1); err == nil {
+ t.Errorf("no error when one was expected")
+ }
+}
+
+func bench(b *testing.B, poly uint64, size int64) {
+ b.SetBytes(size)
+ data := make([]byte, size)
+ for i := range data {
+ data[i] = byte(i)
+ }
+ h := New(MakeTable(poly))
+ in := make([]byte, 0, h.Size())
+
+ b.ResetTimer()
+ for i := 0; i < b.N; i++ {
+ h.Reset()
+ h.Write(data)
+ h.Sum(in)
+ }
+}
+
+func BenchmarkCrc64(b *testing.B) {
+ b.Run("ISO64KB", func(b *testing.B) {
+ bench(b, ISO, 64<<10)
+ })
+ b.Run("ISO4KB", func(b *testing.B) {
+ bench(b, ISO, 4<<10)
+ })
+ b.Run("ISO1KB", func(b *testing.B) {
+ bench(b, ISO, 1<<10)
+ })
+ b.Run("ECMA64KB", func(b *testing.B) {
+ bench(b, ECMA, 64<<10)
+ })
+ b.Run("Random64KB", func(b *testing.B) {
+ bench(b, 0x777, 64<<10)
+ })
+ b.Run("Random16KB", func(b *testing.B) {
+ bench(b, 0x777, 16<<10)
+ })
+}
diff --git a/src/hash/example_test.go b/src/hash/example_test.go
new file mode 100644
index 0000000..f07b9aa
--- /dev/null
+++ b/src/hash/example_test.go
@@ -0,0 +1,51 @@
+// Copyright 2017 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package hash_test
+
+import (
+ "bytes"
+ "crypto/sha256"
+ "encoding"
+ "fmt"
+ "log"
+)
+
+func Example_binaryMarshaler() {
+ const (
+ input1 = "The tunneling gopher digs downwards, "
+ input2 = "unaware of what he will find."
+ )
+
+ first := sha256.New()
+ first.Write([]byte(input1))
+
+ marshaler, ok := first.(encoding.BinaryMarshaler)
+ if !ok {
+ log.Fatal("first does not implement encoding.BinaryMarshaler")
+ }
+ state, err := marshaler.MarshalBinary()
+ if err != nil {
+ log.Fatal("unable to marshal hash:", err)
+ }
+
+ second := sha256.New()
+
+ unmarshaler, ok := second.(encoding.BinaryUnmarshaler)
+ if !ok {
+ log.Fatal("second does not implement encoding.BinaryUnmarshaler")
+ }
+ if err := unmarshaler.UnmarshalBinary(state); err != nil {
+ log.Fatal("unable to unmarshal hash:", err)
+ }
+
+ first.Write([]byte(input2))
+ second.Write([]byte(input2))
+
+ fmt.Printf("%x\n", first.Sum(nil))
+ fmt.Println(bytes.Equal(first.Sum(nil), second.Sum(nil)))
+ // Output:
+ // 57d51a066f3a39942649cd9a76c77e97ceab246756ff3888659e6aa5a07f4a52
+ // true
+}
diff --git a/src/hash/fnv/fnv.go b/src/hash/fnv/fnv.go
new file mode 100644
index 0000000..0fce177
--- /dev/null
+++ b/src/hash/fnv/fnv.go
@@ -0,0 +1,371 @@
+// Copyright 2011 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Package fnv implements FNV-1 and FNV-1a, non-cryptographic hash functions
+// created by Glenn Fowler, Landon Curt Noll, and Phong Vo.
+// See
+// https://en.wikipedia.org/wiki/Fowler-Noll-Vo_hash_function.
+//
+// All the hash.Hash implementations returned by this package also
+// implement encoding.BinaryMarshaler and encoding.BinaryUnmarshaler to
+// marshal and unmarshal the internal state of the hash.
+package fnv
+
+import (
+ "errors"
+ "hash"
+ "math/bits"
+)
+
+type (
+ sum32 uint32
+ sum32a uint32
+ sum64 uint64
+ sum64a uint64
+ sum128 [2]uint64
+ sum128a [2]uint64
+)
+
+const (
+ offset32 = 2166136261
+ offset64 = 14695981039346656037
+ offset128Lower = 0x62b821756295c58d
+ offset128Higher = 0x6c62272e07bb0142
+ prime32 = 16777619
+ prime64 = 1099511628211
+ prime128Lower = 0x13b
+ prime128Shift = 24
+)
+
+// New32 returns a new 32-bit FNV-1 hash.Hash.
+// Its Sum method will lay the value out in big-endian byte order.
+func New32() hash.Hash32 {
+ var s sum32 = offset32
+ return &s
+}
+
+// New32a returns a new 32-bit FNV-1a hash.Hash.
+// Its Sum method will lay the value out in big-endian byte order.
+func New32a() hash.Hash32 {
+ var s sum32a = offset32
+ return &s
+}
+
+// New64 returns a new 64-bit FNV-1 hash.Hash.
+// Its Sum method will lay the value out in big-endian byte order.
+func New64() hash.Hash64 {
+ var s sum64 = offset64
+ return &s
+}
+
+// New64a returns a new 64-bit FNV-1a hash.Hash.
+// Its Sum method will lay the value out in big-endian byte order.
+func New64a() hash.Hash64 {
+ var s sum64a = offset64
+ return &s
+}
+
+// New128 returns a new 128-bit FNV-1 hash.Hash.
+// Its Sum method will lay the value out in big-endian byte order.
+func New128() hash.Hash {
+ var s sum128
+ s[0] = offset128Higher
+ s[1] = offset128Lower
+ return &s
+}
+
+// New128a returns a new 128-bit FNV-1a hash.Hash.
+// Its Sum method will lay the value out in big-endian byte order.
+func New128a() hash.Hash {
+ var s sum128a
+ s[0] = offset128Higher
+ s[1] = offset128Lower
+ return &s
+}
+
+func (s *sum32) Reset() { *s = offset32 }
+func (s *sum32a) Reset() { *s = offset32 }
+func (s *sum64) Reset() { *s = offset64 }
+func (s *sum64a) Reset() { *s = offset64 }
+func (s *sum128) Reset() { s[0] = offset128Higher; s[1] = offset128Lower }
+func (s *sum128a) Reset() { s[0] = offset128Higher; s[1] = offset128Lower }
+
+func (s *sum32) Sum32() uint32 { return uint32(*s) }
+func (s *sum32a) Sum32() uint32 { return uint32(*s) }
+func (s *sum64) Sum64() uint64 { return uint64(*s) }
+func (s *sum64a) Sum64() uint64 { return uint64(*s) }
+
+func (s *sum32) Write(data []byte) (int, error) {
+ hash := *s
+ for _, c := range data {
+ hash *= prime32
+ hash ^= sum32(c)
+ }
+ *s = hash
+ return len(data), nil
+}
+
+func (s *sum32a) Write(data []byte) (int, error) {
+ hash := *s
+ for _, c := range data {
+ hash ^= sum32a(c)
+ hash *= prime32
+ }
+ *s = hash
+ return len(data), nil
+}
+
+func (s *sum64) Write(data []byte) (int, error) {
+ hash := *s
+ for _, c := range data {
+ hash *= prime64
+ hash ^= sum64(c)
+ }
+ *s = hash
+ return len(data), nil
+}
+
+func (s *sum64a) Write(data []byte) (int, error) {
+ hash := *s
+ for _, c := range data {
+ hash ^= sum64a(c)
+ hash *= prime64
+ }
+ *s = hash
+ return len(data), nil
+}
+
+func (s *sum128) Write(data []byte) (int, error) {
+ for _, c := range data {
+ // Compute the multiplication
+ s0, s1 := bits.Mul64(prime128Lower, s[1])
+ s0 += s[1]<<prime128Shift + prime128Lower*s[0]
+ // Update the values
+ s[1] = s1
+ s[0] = s0
+ s[1] ^= uint64(c)
+ }
+ return len(data), nil
+}
+
+func (s *sum128a) Write(data []byte) (int, error) {
+ for _, c := range data {
+ s[1] ^= uint64(c)
+ // Compute the multiplication
+ s0, s1 := bits.Mul64(prime128Lower, s[1])
+ s0 += s[1]<<prime128Shift + prime128Lower*s[0]
+ // Update the values
+ s[1] = s1
+ s[0] = s0
+ }
+ return len(data), nil
+}
+
+func (s *sum32) Size() int { return 4 }
+func (s *sum32a) Size() int { return 4 }
+func (s *sum64) Size() int { return 8 }
+func (s *sum64a) Size() int { return 8 }
+func (s *sum128) Size() int { return 16 }
+func (s *sum128a) Size() int { return 16 }
+
+func (s *sum32) BlockSize() int { return 1 }
+func (s *sum32a) BlockSize() int { return 1 }
+func (s *sum64) BlockSize() int { return 1 }
+func (s *sum64a) BlockSize() int { return 1 }
+func (s *sum128) BlockSize() int { return 1 }
+func (s *sum128a) BlockSize() int { return 1 }
+
+func (s *sum32) Sum(in []byte) []byte {
+ v := uint32(*s)
+ return append(in, byte(v>>24), byte(v>>16), byte(v>>8), byte(v))
+}
+
+func (s *sum32a) Sum(in []byte) []byte {
+ v := uint32(*s)
+ return append(in, byte(v>>24), byte(v>>16), byte(v>>8), byte(v))
+}
+
+func (s *sum64) Sum(in []byte) []byte {
+ v := uint64(*s)
+ return append(in, byte(v>>56), byte(v>>48), byte(v>>40), byte(v>>32), byte(v>>24), byte(v>>16), byte(v>>8), byte(v))
+}
+
+func (s *sum64a) Sum(in []byte) []byte {
+ v := uint64(*s)
+ return append(in, byte(v>>56), byte(v>>48), byte(v>>40), byte(v>>32), byte(v>>24), byte(v>>16), byte(v>>8), byte(v))
+}
+
+func (s *sum128) Sum(in []byte) []byte {
+ return append(in,
+ byte(s[0]>>56), byte(s[0]>>48), byte(s[0]>>40), byte(s[0]>>32), byte(s[0]>>24), byte(s[0]>>16), byte(s[0]>>8), byte(s[0]),
+ byte(s[1]>>56), byte(s[1]>>48), byte(s[1]>>40), byte(s[1]>>32), byte(s[1]>>24), byte(s[1]>>16), byte(s[1]>>8), byte(s[1]),
+ )
+}
+
+func (s *sum128a) Sum(in []byte) []byte {
+ return append(in,
+ byte(s[0]>>56), byte(s[0]>>48), byte(s[0]>>40), byte(s[0]>>32), byte(s[0]>>24), byte(s[0]>>16), byte(s[0]>>8), byte(s[0]),
+ byte(s[1]>>56), byte(s[1]>>48), byte(s[1]>>40), byte(s[1]>>32), byte(s[1]>>24), byte(s[1]>>16), byte(s[1]>>8), byte(s[1]),
+ )
+}
+
+const (
+ magic32 = "fnv\x01"
+ magic32a = "fnv\x02"
+ magic64 = "fnv\x03"
+ magic64a = "fnv\x04"
+ magic128 = "fnv\x05"
+ magic128a = "fnv\x06"
+ marshaledSize32 = len(magic32) + 4
+ marshaledSize64 = len(magic64) + 8
+ marshaledSize128 = len(magic128) + 8*2
+)
+
+func (s *sum32) MarshalBinary() ([]byte, error) {
+ b := make([]byte, 0, marshaledSize32)
+ b = append(b, magic32...)
+ b = appendUint32(b, uint32(*s))
+ return b, nil
+}
+
+func (s *sum32a) MarshalBinary() ([]byte, error) {
+ b := make([]byte, 0, marshaledSize32)
+ b = append(b, magic32a...)
+ b = appendUint32(b, uint32(*s))
+ return b, nil
+}
+
+func (s *sum64) MarshalBinary() ([]byte, error) {
+ b := make([]byte, 0, marshaledSize64)
+ b = append(b, magic64...)
+ b = appendUint64(b, uint64(*s))
+ return b, nil
+
+}
+
+func (s *sum64a) MarshalBinary() ([]byte, error) {
+ b := make([]byte, 0, marshaledSize64)
+ b = append(b, magic64a...)
+ b = appendUint64(b, uint64(*s))
+ return b, nil
+}
+
+func (s *sum128) MarshalBinary() ([]byte, error) {
+ b := make([]byte, 0, marshaledSize128)
+ b = append(b, magic128...)
+ b = appendUint64(b, s[0])
+ b = appendUint64(b, s[1])
+ return b, nil
+}
+
+func (s *sum128a) MarshalBinary() ([]byte, error) {
+ b := make([]byte, 0, marshaledSize128)
+ b = append(b, magic128a...)
+ b = appendUint64(b, s[0])
+ b = appendUint64(b, s[1])
+ return b, nil
+}
+
+func (s *sum32) UnmarshalBinary(b []byte) error {
+ if len(b) < len(magic32) || string(b[:len(magic32)]) != magic32 {
+ return errors.New("hash/fnv: invalid hash state identifier")
+ }
+ if len(b) != marshaledSize32 {
+ return errors.New("hash/fnv: invalid hash state size")
+ }
+ *s = sum32(readUint32(b[4:]))
+ return nil
+}
+
+func (s *sum32a) UnmarshalBinary(b []byte) error {
+ if len(b) < len(magic32a) || string(b[:len(magic32a)]) != magic32a {
+ return errors.New("hash/fnv: invalid hash state identifier")
+ }
+ if len(b) != marshaledSize32 {
+ return errors.New("hash/fnv: invalid hash state size")
+ }
+ *s = sum32a(readUint32(b[4:]))
+ return nil
+}
+
+func (s *sum64) UnmarshalBinary(b []byte) error {
+ if len(b) < len(magic64) || string(b[:len(magic64)]) != magic64 {
+ return errors.New("hash/fnv: invalid hash state identifier")
+ }
+ if len(b) != marshaledSize64 {
+ return errors.New("hash/fnv: invalid hash state size")
+ }
+ *s = sum64(readUint64(b[4:]))
+ return nil
+}
+
+func (s *sum64a) UnmarshalBinary(b []byte) error {
+ if len(b) < len(magic64a) || string(b[:len(magic64a)]) != magic64a {
+ return errors.New("hash/fnv: invalid hash state identifier")
+ }
+ if len(b) != marshaledSize64 {
+ return errors.New("hash/fnv: invalid hash state size")
+ }
+ *s = sum64a(readUint64(b[4:]))
+ return nil
+}
+
+func (s *sum128) UnmarshalBinary(b []byte) error {
+ if len(b) < len(magic128) || string(b[:len(magic128)]) != magic128 {
+ return errors.New("hash/fnv: invalid hash state identifier")
+ }
+ if len(b) != marshaledSize128 {
+ return errors.New("hash/fnv: invalid hash state size")
+ }
+ s[0] = readUint64(b[4:])
+ s[1] = readUint64(b[12:])
+ return nil
+}
+
+func (s *sum128a) UnmarshalBinary(b []byte) error {
+ if len(b) < len(magic128a) || string(b[:len(magic128a)]) != magic128a {
+ return errors.New("hash/fnv: invalid hash state identifier")
+ }
+ if len(b) != marshaledSize128 {
+ return errors.New("hash/fnv: invalid hash state size")
+ }
+ s[0] = readUint64(b[4:])
+ s[1] = readUint64(b[12:])
+ return nil
+}
+
+func readUint32(b []byte) uint32 {
+ _ = b[3]
+ return uint32(b[3]) | uint32(b[2])<<8 | uint32(b[1])<<16 | uint32(b[0])<<24
+}
+
+func appendUint32(b []byte, x uint32) []byte {
+ a := [4]byte{
+ byte(x >> 24),
+ byte(x >> 16),
+ byte(x >> 8),
+ byte(x),
+ }
+ return append(b, a[:]...)
+}
+
+func appendUint64(b []byte, x uint64) []byte {
+ a := [8]byte{
+ byte(x >> 56),
+ byte(x >> 48),
+ byte(x >> 40),
+ byte(x >> 32),
+ byte(x >> 24),
+ byte(x >> 16),
+ byte(x >> 8),
+ byte(x),
+ }
+ return append(b, a[:]...)
+}
+
+func readUint64(b []byte) uint64 {
+ _ = b[7]
+ return uint64(b[7]) | uint64(b[6])<<8 | uint64(b[5])<<16 | uint64(b[4])<<24 |
+ uint64(b[3])<<32 | uint64(b[2])<<40 | uint64(b[1])<<48 | uint64(b[0])<<56
+}
diff --git a/src/hash/fnv/fnv_test.go b/src/hash/fnv/fnv_test.go
new file mode 100644
index 0000000..7b1f7a3
--- /dev/null
+++ b/src/hash/fnv/fnv_test.go
@@ -0,0 +1,255 @@
+// Copyright 2011 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package fnv
+
+import (
+ "bytes"
+ "encoding"
+ "encoding/binary"
+ "hash"
+ "io"
+ "testing"
+)
+
+type golden struct {
+ out []byte
+ in string
+ halfState string // marshaled hash state after first half of in written, used by TestGoldenMarshal
+}
+
+var golden32 = []golden{
+ {[]byte{0x81, 0x1c, 0x9d, 0xc5}, "", "fnv\x01\x81\x1c\x9d\xc5"},
+ {[]byte{0x05, 0x0c, 0x5d, 0x7e}, "a", "fnv\x01\x81\x1c\x9d\xc5"},
+ {[]byte{0x70, 0x77, 0x2d, 0x38}, "ab", "fnv\x01\x05\f]~"},
+ {[]byte{0x43, 0x9c, 0x2f, 0x4b}, "abc", "fnv\x01\x05\f]~"},
+}
+
+var golden32a = []golden{
+ {[]byte{0x81, 0x1c, 0x9d, 0xc5}, "", "fnv\x02\x81\x1c\x9d\xc5"},
+ {[]byte{0xe4, 0x0c, 0x29, 0x2c}, "a", "fnv\x02\x81\x1c\x9d\xc5"},
+ {[]byte{0x4d, 0x25, 0x05, 0xca}, "ab", "fnv\x02\xe4\f),"},
+ {[]byte{0x1a, 0x47, 0xe9, 0x0b}, "abc", "fnv\x02\xe4\f),"},
+}
+
+var golden64 = []golden{
+ {[]byte{0xcb, 0xf2, 0x9c, 0xe4, 0x84, 0x22, 0x23, 0x25}, "", "fnv\x03\xcb\xf2\x9c\xe4\x84\"#%"},
+ {[]byte{0xaf, 0x63, 0xbd, 0x4c, 0x86, 0x01, 0xb7, 0xbe}, "a", "fnv\x03\xcb\xf2\x9c\xe4\x84\"#%"},
+ {[]byte{0x08, 0x32, 0x67, 0x07, 0xb4, 0xeb, 0x37, 0xb8}, "ab", "fnv\x03\xafc\xbdL\x86\x01\xb7\xbe"},
+ {[]byte{0xd8, 0xdc, 0xca, 0x18, 0x6b, 0xaf, 0xad, 0xcb}, "abc", "fnv\x03\xafc\xbdL\x86\x01\xb7\xbe"},
+}
+
+var golden64a = []golden{
+ {[]byte{0xcb, 0xf2, 0x9c, 0xe4, 0x84, 0x22, 0x23, 0x25}, "", "fnv\x04\xcb\xf2\x9c\xe4\x84\"#%"},
+ {[]byte{0xaf, 0x63, 0xdc, 0x4c, 0x86, 0x01, 0xec, 0x8c}, "a", "fnv\x04\xcb\xf2\x9c\xe4\x84\"#%"},
+ {[]byte{0x08, 0x9c, 0x44, 0x07, 0xb5, 0x45, 0x98, 0x6a}, "ab", "fnv\x04\xafc\xdcL\x86\x01\xec\x8c"},
+ {[]byte{0xe7, 0x1f, 0xa2, 0x19, 0x05, 0x41, 0x57, 0x4b}, "abc", "fnv\x04\xafc\xdcL\x86\x01\xec\x8c"},
+}
+
+var golden128 = []golden{
+ {[]byte{0x6c, 0x62, 0x27, 0x2e, 0x07, 0xbb, 0x01, 0x42, 0x62, 0xb8, 0x21, 0x75, 0x62, 0x95, 0xc5, 0x8d}, "", "fnv\x05lb'.\a\xbb\x01Bb\xb8!ub\x95ō"},
+ {[]byte{0xd2, 0x28, 0xcb, 0x69, 0x10, 0x1a, 0x8c, 0xaf, 0x78, 0x91, 0x2b, 0x70, 0x4e, 0x4a, 0x14, 0x1e}, "a", "fnv\x05lb'.\a\xbb\x01Bb\xb8!ub\x95ō"},
+ {[]byte{0x8, 0x80, 0x94, 0x5a, 0xee, 0xab, 0x1b, 0xe9, 0x5a, 0xa0, 0x73, 0x30, 0x55, 0x26, 0xc0, 0x88}, "ab", "fnv\x05\xd2(\xcbi\x10\x1a\x8c\xafx\x91+pNJ\x14\x1e"},
+ {[]byte{0xa6, 0x8b, 0xb2, 0xa4, 0x34, 0x8b, 0x58, 0x22, 0x83, 0x6d, 0xbc, 0x78, 0xc6, 0xae, 0xe7, 0x3b}, "abc", "fnv\x05\xd2(\xcbi\x10\x1a\x8c\xafx\x91+pNJ\x14\x1e"},
+}
+
+var golden128a = []golden{
+ {[]byte{0x6c, 0x62, 0x27, 0x2e, 0x07, 0xbb, 0x01, 0x42, 0x62, 0xb8, 0x21, 0x75, 0x62, 0x95, 0xc5, 0x8d}, "", "fnv\x06lb'.\a\xbb\x01Bb\xb8!ub\x95ō"},
+ {[]byte{0xd2, 0x28, 0xcb, 0x69, 0x6f, 0x1a, 0x8c, 0xaf, 0x78, 0x91, 0x2b, 0x70, 0x4e, 0x4a, 0x89, 0x64}, "a", "fnv\x06lb'.\a\xbb\x01Bb\xb8!ub\x95ō"},
+ {[]byte{0x08, 0x80, 0x95, 0x44, 0xbb, 0xab, 0x1b, 0xe9, 0x5a, 0xa0, 0x73, 0x30, 0x55, 0xb6, 0x9a, 0x62}, "ab", "fnv\x06\xd2(\xcbio\x1a\x8c\xafx\x91+pNJ\x89d"},
+ {[]byte{0xa6, 0x8d, 0x62, 0x2c, 0xec, 0x8b, 0x58, 0x22, 0x83, 0x6d, 0xbc, 0x79, 0x77, 0xaf, 0x7f, 0x3b}, "abc", "fnv\x06\xd2(\xcbio\x1a\x8c\xafx\x91+pNJ\x89d"},
+}
+
+func TestGolden32(t *testing.T) {
+ testGolden(t, New32(), golden32)
+}
+
+func TestGolden32a(t *testing.T) {
+ testGolden(t, New32a(), golden32a)
+}
+
+func TestGolden64(t *testing.T) {
+ testGolden(t, New64(), golden64)
+}
+
+func TestGolden64a(t *testing.T) {
+ testGolden(t, New64a(), golden64a)
+}
+
+func TestGolden128(t *testing.T) {
+ testGolden(t, New128(), golden128)
+}
+
+func TestGolden128a(t *testing.T) {
+ testGolden(t, New128a(), golden128a)
+}
+
+func testGolden(t *testing.T, hash hash.Hash, gold []golden) {
+ for _, g := range gold {
+ hash.Reset()
+ done, error := hash.Write([]byte(g.in))
+ if error != nil {
+ t.Fatalf("write error: %s", error)
+ }
+ if done != len(g.in) {
+ t.Fatalf("wrote only %d out of %d bytes", done, len(g.in))
+ }
+ if actual := hash.Sum(nil); !bytes.Equal(g.out, actual) {
+ t.Errorf("hash(%q) = 0x%x want 0x%x", g.in, actual, g.out)
+ }
+ }
+}
+
+func TestGoldenMarshal(t *testing.T) {
+ tests := []struct {
+ name string
+ newHash func() hash.Hash
+ gold []golden
+ }{
+ {"32", func() hash.Hash { return New32() }, golden32},
+ {"32a", func() hash.Hash { return New32a() }, golden32a},
+ {"64", func() hash.Hash { return New64() }, golden64},
+ {"64a", func() hash.Hash { return New64a() }, golden64a},
+ {"128", func() hash.Hash { return New128() }, golden128},
+ {"128a", func() hash.Hash { return New128a() }, golden128a},
+ }
+ for _, tt := range tests {
+ t.Run(tt.name, func(t *testing.T) {
+ for _, g := range tt.gold {
+ h := tt.newHash()
+ h2 := tt.newHash()
+
+ io.WriteString(h, g.in[:len(g.in)/2])
+
+ state, err := h.(encoding.BinaryMarshaler).MarshalBinary()
+ if err != nil {
+ t.Errorf("could not marshal: %v", err)
+ continue
+ }
+
+ if string(state) != g.halfState {
+ t.Errorf("checksum(%q) state = %q, want %q", g.in, state, g.halfState)
+ continue
+ }
+
+ if err := h2.(encoding.BinaryUnmarshaler).UnmarshalBinary(state); err != nil {
+ t.Errorf("could not unmarshal: %v", err)
+ continue
+ }
+
+ io.WriteString(h, g.in[len(g.in)/2:])
+ io.WriteString(h2, g.in[len(g.in)/2:])
+
+ if actual, actual2 := h.Sum(nil), h2.Sum(nil); !bytes.Equal(actual, actual2) {
+ t.Errorf("hash(%q) = 0x%x != marshaled 0x%x", g.in, actual, actual2)
+ }
+ }
+ })
+ }
+}
+
+func TestIntegrity32(t *testing.T) {
+ testIntegrity(t, New32())
+}
+
+func TestIntegrity32a(t *testing.T) {
+ testIntegrity(t, New32a())
+}
+
+func TestIntegrity64(t *testing.T) {
+ testIntegrity(t, New64())
+}
+
+func TestIntegrity64a(t *testing.T) {
+ testIntegrity(t, New64a())
+}
+func TestIntegrity128(t *testing.T) {
+ testIntegrity(t, New128())
+}
+
+func TestIntegrity128a(t *testing.T) {
+ testIntegrity(t, New128a())
+}
+
+func testIntegrity(t *testing.T, h hash.Hash) {
+ data := []byte{'1', '2', 3, 4, 5}
+ h.Write(data)
+ sum := h.Sum(nil)
+
+ if size := h.Size(); size != len(sum) {
+ t.Fatalf("Size()=%d but len(Sum())=%d", size, len(sum))
+ }
+
+ if a := h.Sum(nil); !bytes.Equal(sum, a) {
+ t.Fatalf("first Sum()=0x%x, second Sum()=0x%x", sum, a)
+ }
+
+ h.Reset()
+ h.Write(data)
+ if a := h.Sum(nil); !bytes.Equal(sum, a) {
+ t.Fatalf("Sum()=0x%x, but after Reset() Sum()=0x%x", sum, a)
+ }
+
+ h.Reset()
+ h.Write(data[:2])
+ h.Write(data[2:])
+ if a := h.Sum(nil); !bytes.Equal(sum, a) {
+ t.Fatalf("Sum()=0x%x, but with partial writes, Sum()=0x%x", sum, a)
+ }
+
+ switch h.Size() {
+ case 4:
+ sum32 := h.(hash.Hash32).Sum32()
+ if sum32 != binary.BigEndian.Uint32(sum) {
+ t.Fatalf("Sum()=0x%x, but Sum32()=0x%x", sum, sum32)
+ }
+ case 8:
+ sum64 := h.(hash.Hash64).Sum64()
+ if sum64 != binary.BigEndian.Uint64(sum) {
+ t.Fatalf("Sum()=0x%x, but Sum64()=0x%x", sum, sum64)
+ }
+ case 16:
+ // There's no Sum128 function, so we don't need to test anything here.
+ }
+}
+
+func BenchmarkFnv32KB(b *testing.B) {
+ benchmarkKB(b, New32())
+}
+
+func BenchmarkFnv32aKB(b *testing.B) {
+ benchmarkKB(b, New32a())
+}
+
+func BenchmarkFnv64KB(b *testing.B) {
+ benchmarkKB(b, New64())
+}
+
+func BenchmarkFnv64aKB(b *testing.B) {
+ benchmarkKB(b, New64a())
+}
+
+func BenchmarkFnv128KB(b *testing.B) {
+ benchmarkKB(b, New128())
+}
+
+func BenchmarkFnv128aKB(b *testing.B) {
+ benchmarkKB(b, New128a())
+}
+
+func benchmarkKB(b *testing.B, h hash.Hash) {
+ b.SetBytes(1024)
+ data := make([]byte, 1024)
+ for i := range data {
+ data[i] = byte(i)
+ }
+ in := make([]byte, 0, h.Size())
+
+ b.ResetTimer()
+ for i := 0; i < b.N; i++ {
+ h.Reset()
+ h.Write(data)
+ h.Sum(in)
+ }
+}
diff --git a/src/hash/hash.go b/src/hash/hash.go
new file mode 100644
index 0000000..62cf6a4
--- /dev/null
+++ b/src/hash/hash.go
@@ -0,0 +1,58 @@
+// Copyright 2009 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Package hash provides interfaces for hash functions.
+package hash
+
+import "io"
+
+// Hash is the common interface implemented by all hash functions.
+//
+// Hash implementations in the standard library (e.g. hash/crc32 and
+// crypto/sha256) implement the encoding.BinaryMarshaler and
+// encoding.BinaryUnmarshaler interfaces. Marshaling a hash implementation
+// allows its internal state to be saved and used for additional processing
+// later, without having to re-write the data previously written to the hash.
+// The hash state may contain portions of the input in its original form,
+// which users are expected to handle for any possible security implications.
+//
+// Compatibility: Any future changes to hash or crypto packages will endeavor
+// to maintain compatibility with state encoded using previous versions.
+// That is, any released versions of the packages should be able to
+// decode data written with any previously released version,
+// subject to issues such as security fixes.
+// See the Go compatibility document for background: https://golang.org/doc/go1compat
+type Hash interface {
+ // Write (via the embedded io.Writer interface) adds more data to the running hash.
+ // It never returns an error.
+ io.Writer
+
+ // Sum appends the current hash to b and returns the resulting slice.
+ // It does not change the underlying hash state.
+ Sum(b []byte) []byte
+
+ // Reset resets the Hash to its initial state.
+ Reset()
+
+ // Size returns the number of bytes Sum will return.
+ Size() int
+
+ // BlockSize returns the hash's underlying block size.
+ // The Write method must be able to accept any amount
+ // of data, but it may operate more efficiently if all writes
+ // are a multiple of the block size.
+ BlockSize() int
+}
+
+// Hash32 is the common interface implemented by all 32-bit hash functions.
+type Hash32 interface {
+ Hash
+ Sum32() uint32
+}
+
+// Hash64 is the common interface implemented by all 64-bit hash functions.
+type Hash64 interface {
+ Hash
+ Sum64() uint64
+}
diff --git a/src/hash/maphash/example_test.go b/src/hash/maphash/example_test.go
new file mode 100644
index 0000000..78690fd
--- /dev/null
+++ b/src/hash/maphash/example_test.go
@@ -0,0 +1,37 @@
+// Copyright 2020 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package maphash_test
+
+import (
+ "fmt"
+ "hash/maphash"
+)
+
+func Example() {
+ // The zero Hash value is valid and ready to use; setting an
+ // initial seed is not necessary.
+ var h maphash.Hash
+
+ // Add a string to the hash, and print the current hash value.
+ h.WriteString("hello, ")
+ fmt.Printf("%#x\n", h.Sum64())
+
+ // Append additional data (in the form of a byte array).
+ h.Write([]byte{'w', 'o', 'r', 'l', 'd'})
+ fmt.Printf("%#x\n", h.Sum64())
+
+ // Reset discards all data previously added to the Hash, without
+ // changing its seed.
+ h.Reset()
+
+ // Use SetSeed to create a new Hash h2 which will behave
+ // identically to h.
+ var h2 maphash.Hash
+ h2.SetSeed(h.Seed())
+
+ h.WriteString("same")
+ h2.WriteString("same")
+ fmt.Printf("%#x == %#x\n", h.Sum64(), h2.Sum64())
+}
diff --git a/src/hash/maphash/maphash.go b/src/hash/maphash/maphash.go
new file mode 100644
index 0000000..690068a
--- /dev/null
+++ b/src/hash/maphash/maphash.go
@@ -0,0 +1,308 @@
+// Copyright 2019 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Package maphash provides hash functions on byte sequences.
+// These hash functions are intended to be used to implement hash tables or
+// other data structures that need to map arbitrary strings or byte
+// sequences to a uniform distribution on unsigned 64-bit integers.
+// Each different instance of a hash table or data structure should use its own Seed.
+//
+// The hash functions are not cryptographically secure.
+// (See crypto/sha256 and crypto/sha512 for cryptographic use.)
+package maphash
+
+import (
+ "unsafe"
+)
+
+// A Seed is a random value that selects the specific hash function
+// computed by a Hash. If two Hashes use the same Seeds, they
+// will compute the same hash values for any given input.
+// If two Hashes use different Seeds, they are very likely to compute
+// distinct hash values for any given input.
+//
+// A Seed must be initialized by calling MakeSeed.
+// The zero seed is uninitialized and not valid for use with Hash's SetSeed method.
+//
+// Each Seed value is local to a single process and cannot be serialized
+// or otherwise recreated in a different process.
+type Seed struct {
+ s uint64
+}
+
+// Bytes returns the hash of b with the given seed.
+//
+// Bytes is equivalent to, but more convenient and efficient than:
+//
+// var h Hash
+// h.SetSeed(seed)
+// h.Write(b)
+// return h.Sum64()
+func Bytes(seed Seed, b []byte) uint64 {
+ state := seed.s
+ if state == 0 {
+ panic("maphash: use of uninitialized Seed")
+ }
+ if len(b) == 0 {
+ return rthash(nil, 0, state) // avoid &b[0] index panic below
+ }
+ if len(b) > bufSize {
+ b = b[:len(b):len(b)] // merge len and cap calculations when reslicing
+ for len(b) > bufSize {
+ state = rthash(&b[0], bufSize, state)
+ b = b[bufSize:]
+ }
+ }
+ return rthash(&b[0], len(b), state)
+}
+
+// String returns the hash of s with the given seed.
+//
+// String is equivalent to, but more convenient and efficient than:
+//
+// var h Hash
+// h.SetSeed(seed)
+// h.WriteString(s)
+// return h.Sum64()
+func String(seed Seed, s string) uint64 {
+ state := seed.s
+ if state == 0 {
+ panic("maphash: use of uninitialized Seed")
+ }
+ for len(s) > bufSize {
+ p := (*byte)(unsafe.StringData(s))
+ state = rthash(p, bufSize, state)
+ s = s[bufSize:]
+ }
+ p := (*byte)(unsafe.StringData(s))
+ return rthash(p, len(s), state)
+}
+
+// A Hash computes a seeded hash of a byte sequence.
+//
+// The zero Hash is a valid Hash ready to use.
+// A zero Hash chooses a random seed for itself during
+// the first call to a Reset, Write, Seed, or Sum64 method.
+// For control over the seed, use SetSeed.
+//
+// The computed hash values depend only on the initial seed and
+// the sequence of bytes provided to the Hash object, not on the way
+// in which the bytes are provided. For example, the three sequences
+//
+// h.Write([]byte{'f','o','o'})
+// h.WriteByte('f'); h.WriteByte('o'); h.WriteByte('o')
+// h.WriteString("foo")
+//
+// all have the same effect.
+//
+// Hashes are intended to be collision-resistant, even for situations
+// where an adversary controls the byte sequences being hashed.
+//
+// A Hash is not safe for concurrent use by multiple goroutines, but a Seed is.
+// If multiple goroutines must compute the same seeded hash,
+// each can declare its own Hash and call SetSeed with a common Seed.
+type Hash struct {
+ _ [0]func() // not comparable
+ seed Seed // initial seed used for this hash
+ state Seed // current hash of all flushed bytes
+ buf [bufSize]byte // unflushed byte buffer
+ n int // number of unflushed bytes
+}
+
+// bufSize is the size of the Hash write buffer.
+// The buffer ensures that writes depend only on the sequence of bytes,
+// not the sequence of WriteByte/Write/WriteString calls,
+// by always calling rthash with a full buffer (except for the tail).
+const bufSize = 128
+
+// initSeed seeds the hash if necessary.
+// initSeed is called lazily before any operation that actually uses h.seed/h.state.
+// Note that this does not include Write/WriteByte/WriteString in the case
+// where they only add to h.buf. (If they write too much, they call h.flush,
+// which does call h.initSeed.)
+func (h *Hash) initSeed() {
+ if h.seed.s == 0 {
+ seed := MakeSeed()
+ h.seed = seed
+ h.state = seed
+ }
+}
+
+// WriteByte adds b to the sequence of bytes hashed by h.
+// It never fails; the error result is for implementing io.ByteWriter.
+func (h *Hash) WriteByte(b byte) error {
+ if h.n == len(h.buf) {
+ h.flush()
+ }
+ h.buf[h.n] = b
+ h.n++
+ return nil
+}
+
+// Write adds b to the sequence of bytes hashed by h.
+// It always writes all of b and never fails; the count and error result are for implementing io.Writer.
+func (h *Hash) Write(b []byte) (int, error) {
+ size := len(b)
+ // Deal with bytes left over in h.buf.
+ // h.n <= bufSize is always true.
+ // Checking it is ~free and it lets the compiler eliminate a bounds check.
+ if h.n > 0 && h.n <= bufSize {
+ k := copy(h.buf[h.n:], b)
+ h.n += k
+ if h.n < bufSize {
+ // Copied the entirety of b to h.buf.
+ return size, nil
+ }
+ b = b[k:]
+ h.flush()
+ // No need to set h.n = 0 here; it happens just before exit.
+ }
+ // Process as many full buffers as possible, without copying, and calling initSeed only once.
+ if len(b) > bufSize {
+ h.initSeed()
+ for len(b) > bufSize {
+ h.state.s = rthash(&b[0], bufSize, h.state.s)
+ b = b[bufSize:]
+ }
+ }
+ // Copy the tail.
+ copy(h.buf[:], b)
+ h.n = len(b)
+ return size, nil
+}
+
+// WriteString adds the bytes of s to the sequence of bytes hashed by h.
+// It always writes all of s and never fails; the count and error result are for implementing io.StringWriter.
+func (h *Hash) WriteString(s string) (int, error) {
+ // WriteString mirrors Write. See Write for comments.
+ size := len(s)
+ if h.n > 0 && h.n <= bufSize {
+ k := copy(h.buf[h.n:], s)
+ h.n += k
+ if h.n < bufSize {
+ return size, nil
+ }
+ s = s[k:]
+ h.flush()
+ }
+ if len(s) > bufSize {
+ h.initSeed()
+ for len(s) > bufSize {
+ ptr := (*byte)(unsafe.StringData(s))
+ h.state.s = rthash(ptr, bufSize, h.state.s)
+ s = s[bufSize:]
+ }
+ }
+ copy(h.buf[:], s)
+ h.n = len(s)
+ return size, nil
+}
+
+// Seed returns h's seed value.
+func (h *Hash) Seed() Seed {
+ h.initSeed()
+ return h.seed
+}
+
+// SetSeed sets h to use seed, which must have been returned by MakeSeed
+// or by another Hash's Seed method.
+// Two Hash objects with the same seed behave identically.
+// Two Hash objects with different seeds will very likely behave differently.
+// Any bytes added to h before this call will be discarded.
+func (h *Hash) SetSeed(seed Seed) {
+ if seed.s == 0 {
+ panic("maphash: use of uninitialized Seed")
+ }
+ h.seed = seed
+ h.state = seed
+ h.n = 0
+}
+
+// Reset discards all bytes added to h.
+// (The seed remains the same.)
+func (h *Hash) Reset() {
+ h.initSeed()
+ h.state = h.seed
+ h.n = 0
+}
+
+// precondition: buffer is full.
+func (h *Hash) flush() {
+ if h.n != len(h.buf) {
+ panic("maphash: flush of partially full buffer")
+ }
+ h.initSeed()
+ h.state.s = rthash(&h.buf[0], h.n, h.state.s)
+ h.n = 0
+}
+
+// Sum64 returns h's current 64-bit value, which depends on
+// h's seed and the sequence of bytes added to h since the
+// last call to Reset or SetSeed.
+//
+// All bits of the Sum64 result are close to uniformly and
+// independently distributed, so it can be safely reduced
+// by using bit masking, shifting, or modular arithmetic.
+func (h *Hash) Sum64() uint64 {
+ h.initSeed()
+ return rthash(&h.buf[0], h.n, h.state.s)
+}
+
+// MakeSeed returns a new random seed.
+func MakeSeed() Seed {
+ var s uint64
+ for {
+ s = runtime_fastrand64()
+ // We use seed 0 to indicate an uninitialized seed/hash,
+ // so keep trying until we get a non-zero seed.
+ if s != 0 {
+ break
+ }
+ }
+ return Seed{s: s}
+}
+
+//go:linkname runtime_fastrand64 runtime.fastrand64
+func runtime_fastrand64() uint64
+
+func rthash(ptr *byte, len int, seed uint64) uint64 {
+ if len == 0 {
+ return seed
+ }
+ // The runtime hasher only works on uintptr. For 64-bit
+ // architectures, we use the hasher directly. Otherwise,
+ // we use two parallel hashers on the lower and upper 32 bits.
+ if unsafe.Sizeof(uintptr(0)) == 8 {
+ return uint64(runtime_memhash(unsafe.Pointer(ptr), uintptr(seed), uintptr(len)))
+ }
+ lo := runtime_memhash(unsafe.Pointer(ptr), uintptr(seed), uintptr(len))
+ hi := runtime_memhash(unsafe.Pointer(ptr), uintptr(seed>>32), uintptr(len))
+ return uint64(hi)<<32 | uint64(lo)
+}
+
+//go:linkname runtime_memhash runtime.memhash
+//go:noescape
+func runtime_memhash(p unsafe.Pointer, seed, s uintptr) uintptr
+
+// Sum appends the hash's current 64-bit value to b.
+// It exists for implementing hash.Hash.
+// For direct calls, it is more efficient to use Sum64.
+func (h *Hash) Sum(b []byte) []byte {
+ x := h.Sum64()
+ return append(b,
+ byte(x>>0),
+ byte(x>>8),
+ byte(x>>16),
+ byte(x>>24),
+ byte(x>>32),
+ byte(x>>40),
+ byte(x>>48),
+ byte(x>>56))
+}
+
+// Size returns h's hash value size, 8 bytes.
+func (h *Hash) Size() int { return 8 }
+
+// BlockSize returns h's block size.
+func (h *Hash) BlockSize() int { return len(h.buf) }
diff --git a/src/hash/maphash/maphash_test.go b/src/hash/maphash/maphash_test.go
new file mode 100644
index 0000000..7526989
--- /dev/null
+++ b/src/hash/maphash/maphash_test.go
@@ -0,0 +1,255 @@
+// Copyright 2019 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package maphash
+
+import (
+ "bytes"
+ "fmt"
+ "hash"
+ "testing"
+)
+
+func TestUnseededHash(t *testing.T) {
+ m := map[uint64]struct{}{}
+ for i := 0; i < 1000; i++ {
+ h := new(Hash)
+ m[h.Sum64()] = struct{}{}
+ }
+ if len(m) < 900 {
+ t.Errorf("empty hash not sufficiently random: got %d, want 1000", len(m))
+ }
+}
+
+func TestSeededHash(t *testing.T) {
+ s := MakeSeed()
+ m := map[uint64]struct{}{}
+ for i := 0; i < 1000; i++ {
+ h := new(Hash)
+ h.SetSeed(s)
+ m[h.Sum64()] = struct{}{}
+ }
+ if len(m) != 1 {
+ t.Errorf("seeded hash is random: got %d, want 1", len(m))
+ }
+}
+
+func TestHashGrouping(t *testing.T) {
+ b := bytes.Repeat([]byte("foo"), 100)
+ hh := make([]*Hash, 7)
+ for i := range hh {
+ hh[i] = new(Hash)
+ }
+ for _, h := range hh[1:] {
+ h.SetSeed(hh[0].Seed())
+ }
+ hh[0].Write(b)
+ hh[1].WriteString(string(b))
+
+ writeByte := func(h *Hash, b byte) {
+ err := h.WriteByte(b)
+ if err != nil {
+ t.Fatalf("WriteByte: %v", err)
+ }
+ }
+ writeSingleByte := func(h *Hash, b byte) {
+ _, err := h.Write([]byte{b})
+ if err != nil {
+ t.Fatalf("Write single byte: %v", err)
+ }
+ }
+ writeStringSingleByte := func(h *Hash, b byte) {
+ _, err := h.WriteString(string([]byte{b}))
+ if err != nil {
+ t.Fatalf("WriteString single byte: %v", err)
+ }
+ }
+
+ for i, x := range b {
+ writeByte(hh[2], x)
+ writeSingleByte(hh[3], x)
+ if i == 0 {
+ writeByte(hh[4], x)
+ } else {
+ writeSingleByte(hh[4], x)
+ }
+ writeStringSingleByte(hh[5], x)
+ if i == 0 {
+ writeByte(hh[6], x)
+ } else {
+ writeStringSingleByte(hh[6], x)
+ }
+ }
+
+ sum := hh[0].Sum64()
+ for i, h := range hh {
+ if sum != h.Sum64() {
+ t.Errorf("hash %d not identical to a single Write", i)
+ }
+ }
+
+ if sum1 := Bytes(hh[0].Seed(), b); sum1 != hh[0].Sum64() {
+ t.Errorf("hash using Bytes not identical to a single Write")
+ }
+
+ if sum1 := String(hh[0].Seed(), string(b)); sum1 != hh[0].Sum64() {
+ t.Errorf("hash using String not identical to a single Write")
+ }
+}
+
+func TestHashBytesVsString(t *testing.T) {
+ s := "foo"
+ b := []byte(s)
+ h1 := new(Hash)
+ h2 := new(Hash)
+ h2.SetSeed(h1.Seed())
+ n1, err1 := h1.WriteString(s)
+ if n1 != len(s) || err1 != nil {
+ t.Fatalf("WriteString(s) = %d, %v, want %d, nil", n1, err1, len(s))
+ }
+ n2, err2 := h2.Write(b)
+ if n2 != len(b) || err2 != nil {
+ t.Fatalf("Write(b) = %d, %v, want %d, nil", n2, err2, len(b))
+ }
+ if h1.Sum64() != h2.Sum64() {
+ t.Errorf("hash of string and bytes not identical")
+ }
+}
+
+func TestHashHighBytes(t *testing.T) {
+ // See issue 34925.
+ const N = 10
+ m := map[uint64]struct{}{}
+ for i := 0; i < N; i++ {
+ h := new(Hash)
+ h.WriteString("foo")
+ m[h.Sum64()>>32] = struct{}{}
+ }
+ if len(m) < N/2 {
+ t.Errorf("from %d seeds, wanted at least %d different hashes; got %d", N, N/2, len(m))
+ }
+}
+
+func TestRepeat(t *testing.T) {
+ h1 := new(Hash)
+ h1.WriteString("testing")
+ sum1 := h1.Sum64()
+
+ h1.Reset()
+ h1.WriteString("testing")
+ sum2 := h1.Sum64()
+
+ if sum1 != sum2 {
+ t.Errorf("different sum after reseting: %#x != %#x", sum1, sum2)
+ }
+
+ h2 := new(Hash)
+ h2.SetSeed(h1.Seed())
+ h2.WriteString("testing")
+ sum3 := h2.Sum64()
+
+ if sum1 != sum3 {
+ t.Errorf("different sum on the same seed: %#x != %#x", sum1, sum3)
+ }
+}
+
+func TestSeedFromSum64(t *testing.T) {
+ h1 := new(Hash)
+ h1.WriteString("foo")
+ x := h1.Sum64() // seed generated here
+ h2 := new(Hash)
+ h2.SetSeed(h1.Seed())
+ h2.WriteString("foo")
+ y := h2.Sum64()
+ if x != y {
+ t.Errorf("hashes don't match: want %x, got %x", x, y)
+ }
+}
+
+func TestSeedFromSeed(t *testing.T) {
+ h1 := new(Hash)
+ h1.WriteString("foo")
+ _ = h1.Seed() // seed generated here
+ x := h1.Sum64()
+ h2 := new(Hash)
+ h2.SetSeed(h1.Seed())
+ h2.WriteString("foo")
+ y := h2.Sum64()
+ if x != y {
+ t.Errorf("hashes don't match: want %x, got %x", x, y)
+ }
+}
+
+func TestSeedFromFlush(t *testing.T) {
+ b := make([]byte, 65)
+ h1 := new(Hash)
+ h1.Write(b) // seed generated here
+ x := h1.Sum64()
+ h2 := new(Hash)
+ h2.SetSeed(h1.Seed())
+ h2.Write(b)
+ y := h2.Sum64()
+ if x != y {
+ t.Errorf("hashes don't match: want %x, got %x", x, y)
+ }
+}
+
+func TestSeedFromReset(t *testing.T) {
+ h1 := new(Hash)
+ h1.WriteString("foo")
+ h1.Reset() // seed generated here
+ h1.WriteString("foo")
+ x := h1.Sum64()
+ h2 := new(Hash)
+ h2.SetSeed(h1.Seed())
+ h2.WriteString("foo")
+ y := h2.Sum64()
+ if x != y {
+ t.Errorf("hashes don't match: want %x, got %x", x, y)
+ }
+}
+
+// Make sure a Hash implements the hash.Hash and hash.Hash64 interfaces.
+var _ hash.Hash = &Hash{}
+var _ hash.Hash64 = &Hash{}
+
+func benchmarkSize(b *testing.B, size int) {
+ h := &Hash{}
+ buf := make([]byte, size)
+ s := string(buf)
+
+ b.Run("Write", func(b *testing.B) {
+ b.SetBytes(int64(size))
+ for i := 0; i < b.N; i++ {
+ h.Reset()
+ h.Write(buf)
+ h.Sum64()
+ }
+ })
+
+ b.Run("Bytes", func(b *testing.B) {
+ b.SetBytes(int64(size))
+ seed := h.Seed()
+ for i := 0; i < b.N; i++ {
+ Bytes(seed, buf)
+ }
+ })
+
+ b.Run("String", func(b *testing.B) {
+ b.SetBytes(int64(size))
+ seed := h.Seed()
+ for i := 0; i < b.N; i++ {
+ String(seed, s)
+ }
+ })
+}
+
+func BenchmarkHash(b *testing.B) {
+ sizes := []int{4, 8, 16, 32, 64, 256, 320, 1024, 4096, 16384}
+ for _, size := range sizes {
+ b.Run(fmt.Sprint("n=", size), func(b *testing.B) {
+ benchmarkSize(b, size)
+ })
+ }
+}
diff --git a/src/hash/maphash/smhasher_test.go b/src/hash/maphash/smhasher_test.go
new file mode 100644
index 0000000..27cedc4
--- /dev/null
+++ b/src/hash/maphash/smhasher_test.go
@@ -0,0 +1,474 @@
+// Copyright 2019 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+//go:build !race
+
+package maphash
+
+import (
+ "fmt"
+ "math"
+ "math/rand"
+ "runtime"
+ "strings"
+ "testing"
+ "unsafe"
+)
+
+// Smhasher is a torture test for hash functions.
+// https://code.google.com/p/smhasher/
+// This code is a port of some of the Smhasher tests to Go.
+
+// Note: due to the long running time of these tests, they are
+// currently disabled in -race mode.
+
+var fixedSeed = MakeSeed()
+
+// Sanity checks.
+// hash should not depend on values outside key.
+// hash should not depend on alignment.
+func TestSmhasherSanity(t *testing.T) {
+ r := rand.New(rand.NewSource(1234))
+ const REP = 10
+ const KEYMAX = 128
+ const PAD = 16
+ const OFFMAX = 16
+ for k := 0; k < REP; k++ {
+ for n := 0; n < KEYMAX; n++ {
+ for i := 0; i < OFFMAX; i++ {
+ var b [KEYMAX + OFFMAX + 2*PAD]byte
+ var c [KEYMAX + OFFMAX + 2*PAD]byte
+ randBytes(r, b[:])
+ randBytes(r, c[:])
+ copy(c[PAD+i:PAD+i+n], b[PAD:PAD+n])
+ if bytesHash(b[PAD:PAD+n]) != bytesHash(c[PAD+i:PAD+i+n]) {
+ t.Errorf("hash depends on bytes outside key")
+ }
+ }
+ }
+ }
+}
+
+func bytesHash(b []byte) uint64 {
+ var h Hash
+ h.SetSeed(fixedSeed)
+ h.Write(b)
+ return h.Sum64()
+}
+func stringHash(s string) uint64 {
+ var h Hash
+ h.SetSeed(fixedSeed)
+ h.WriteString(s)
+ return h.Sum64()
+}
+
+const hashSize = 64
+
+func randBytes(r *rand.Rand, b []byte) {
+ r.Read(b) // can't fail
+}
+
+// A hashSet measures the frequency of hash collisions.
+type hashSet struct {
+ m map[uint64]struct{} // set of hashes added
+ n int // number of hashes added
+}
+
+func newHashSet() *hashSet {
+ return &hashSet{make(map[uint64]struct{}), 0}
+}
+func (s *hashSet) add(h uint64) {
+ s.m[h] = struct{}{}
+ s.n++
+}
+func (s *hashSet) addS(x string) {
+ s.add(stringHash(x))
+}
+func (s *hashSet) addB(x []byte) {
+ s.add(bytesHash(x))
+}
+func (s *hashSet) addS_seed(x string, seed Seed) {
+ var h Hash
+ h.SetSeed(seed)
+ h.WriteString(x)
+ s.add(h.Sum64())
+}
+func (s *hashSet) check(t *testing.T) {
+ const SLOP = 10.0
+ collisions := s.n - len(s.m)
+ pairs := int64(s.n) * int64(s.n-1) / 2
+ expected := float64(pairs) / math.Pow(2.0, float64(hashSize))
+ stddev := math.Sqrt(expected)
+ if float64(collisions) > expected+SLOP*(3*stddev+1) {
+ t.Errorf("unexpected number of collisions: got=%d mean=%f stddev=%f", collisions, expected, stddev)
+ }
+}
+
+// a string plus adding zeros must make distinct hashes
+func TestSmhasherAppendedZeros(t *testing.T) {
+ s := "hello" + strings.Repeat("\x00", 256)
+ h := newHashSet()
+ for i := 0; i <= len(s); i++ {
+ h.addS(s[:i])
+ }
+ h.check(t)
+}
+
+// All 0-3 byte strings have distinct hashes.
+func TestSmhasherSmallKeys(t *testing.T) {
+ h := newHashSet()
+ var b [3]byte
+ for i := 0; i < 256; i++ {
+ b[0] = byte(i)
+ h.addB(b[:1])
+ for j := 0; j < 256; j++ {
+ b[1] = byte(j)
+ h.addB(b[:2])
+ if !testing.Short() {
+ for k := 0; k < 256; k++ {
+ b[2] = byte(k)
+ h.addB(b[:3])
+ }
+ }
+ }
+ }
+ h.check(t)
+}
+
+// Different length strings of all zeros have distinct hashes.
+func TestSmhasherZeros(t *testing.T) {
+ N := 256 * 1024
+ if testing.Short() {
+ N = 1024
+ }
+ h := newHashSet()
+ b := make([]byte, N)
+ for i := 0; i <= N; i++ {
+ h.addB(b[:i])
+ }
+ h.check(t)
+}
+
+// Strings with up to two nonzero bytes all have distinct hashes.
+func TestSmhasherTwoNonzero(t *testing.T) {
+ if runtime.GOARCH == "wasm" {
+ t.Skip("Too slow on wasm")
+ }
+ if testing.Short() {
+ t.Skip("Skipping in short mode")
+ }
+ h := newHashSet()
+ for n := 2; n <= 16; n++ {
+ twoNonZero(h, n)
+ }
+ h.check(t)
+}
+func twoNonZero(h *hashSet, n int) {
+ b := make([]byte, n)
+
+ // all zero
+ h.addB(b)
+
+ // one non-zero byte
+ for i := 0; i < n; i++ {
+ for x := 1; x < 256; x++ {
+ b[i] = byte(x)
+ h.addB(b)
+ b[i] = 0
+ }
+ }
+
+ // two non-zero bytes
+ for i := 0; i < n; i++ {
+ for x := 1; x < 256; x++ {
+ b[i] = byte(x)
+ for j := i + 1; j < n; j++ {
+ for y := 1; y < 256; y++ {
+ b[j] = byte(y)
+ h.addB(b)
+ b[j] = 0
+ }
+ }
+ b[i] = 0
+ }
+ }
+}
+
+// Test strings with repeats, like "abcdabcdabcdabcd..."
+func TestSmhasherCyclic(t *testing.T) {
+ if testing.Short() {
+ t.Skip("Skipping in short mode")
+ }
+ r := rand.New(rand.NewSource(1234))
+ const REPEAT = 8
+ const N = 1000000
+ for n := 4; n <= 12; n++ {
+ h := newHashSet()
+ b := make([]byte, REPEAT*n)
+ for i := 0; i < N; i++ {
+ b[0] = byte(i * 79 % 97)
+ b[1] = byte(i * 43 % 137)
+ b[2] = byte(i * 151 % 197)
+ b[3] = byte(i * 199 % 251)
+ randBytes(r, b[4:n])
+ for j := n; j < n*REPEAT; j++ {
+ b[j] = b[j-n]
+ }
+ h.addB(b)
+ }
+ h.check(t)
+ }
+}
+
+// Test strings with only a few bits set
+func TestSmhasherSparse(t *testing.T) {
+ if runtime.GOARCH == "wasm" {
+ t.Skip("Too slow on wasm")
+ }
+ if testing.Short() {
+ t.Skip("Skipping in short mode")
+ }
+ sparse(t, 32, 6)
+ sparse(t, 40, 6)
+ sparse(t, 48, 5)
+ sparse(t, 56, 5)
+ sparse(t, 64, 5)
+ sparse(t, 96, 4)
+ sparse(t, 256, 3)
+ sparse(t, 2048, 2)
+}
+func sparse(t *testing.T, n int, k int) {
+ b := make([]byte, n/8)
+ h := newHashSet()
+ setbits(h, b, 0, k)
+ h.check(t)
+}
+
+// set up to k bits at index i and greater
+func setbits(h *hashSet, b []byte, i int, k int) {
+ h.addB(b)
+ if k == 0 {
+ return
+ }
+ for j := i; j < len(b)*8; j++ {
+ b[j/8] |= byte(1 << uint(j&7))
+ setbits(h, b, j+1, k-1)
+ b[j/8] &= byte(^(1 << uint(j&7)))
+ }
+}
+
+// Test all possible combinations of n blocks from the set s.
+// "permutation" is a bad name here, but it is what Smhasher uses.
+func TestSmhasherPermutation(t *testing.T) {
+ if runtime.GOARCH == "wasm" {
+ t.Skip("Too slow on wasm")
+ }
+ if testing.Short() {
+ t.Skip("Skipping in short mode")
+ }
+ permutation(t, []uint32{0, 1, 2, 3, 4, 5, 6, 7}, 8)
+ permutation(t, []uint32{0, 1 << 29, 2 << 29, 3 << 29, 4 << 29, 5 << 29, 6 << 29, 7 << 29}, 8)
+ permutation(t, []uint32{0, 1}, 20)
+ permutation(t, []uint32{0, 1 << 31}, 20)
+ permutation(t, []uint32{0, 1, 2, 3, 4, 5, 6, 7, 1 << 29, 2 << 29, 3 << 29, 4 << 29, 5 << 29, 6 << 29, 7 << 29}, 6)
+}
+func permutation(t *testing.T, s []uint32, n int) {
+ b := make([]byte, n*4)
+ h := newHashSet()
+ genPerm(h, b, s, 0)
+ h.check(t)
+}
+func genPerm(h *hashSet, b []byte, s []uint32, n int) {
+ h.addB(b[:n])
+ if n == len(b) {
+ return
+ }
+ for _, v := range s {
+ b[n] = byte(v)
+ b[n+1] = byte(v >> 8)
+ b[n+2] = byte(v >> 16)
+ b[n+3] = byte(v >> 24)
+ genPerm(h, b, s, n+4)
+ }
+}
+
+type key interface {
+ clear() // set bits all to 0
+ random(r *rand.Rand) // set key to something random
+ bits() int // how many bits key has
+ flipBit(i int) // flip bit i of the key
+ hash() uint64 // hash the key
+ name() string // for error reporting
+}
+
+type bytesKey struct {
+ b []byte
+}
+
+func (k *bytesKey) clear() {
+ for i := range k.b {
+ k.b[i] = 0
+ }
+}
+func (k *bytesKey) random(r *rand.Rand) {
+ randBytes(r, k.b)
+}
+func (k *bytesKey) bits() int {
+ return len(k.b) * 8
+}
+func (k *bytesKey) flipBit(i int) {
+ k.b[i>>3] ^= byte(1 << uint(i&7))
+}
+func (k *bytesKey) hash() uint64 {
+ return bytesHash(k.b)
+}
+func (k *bytesKey) name() string {
+ return fmt.Sprintf("bytes%d", len(k.b))
+}
+
+// Flipping a single bit of a key should flip each output bit with 50% probability.
+func TestSmhasherAvalanche(t *testing.T) {
+ if runtime.GOARCH == "wasm" {
+ t.Skip("Too slow on wasm")
+ }
+ if testing.Short() {
+ t.Skip("Skipping in short mode")
+ }
+ avalancheTest1(t, &bytesKey{make([]byte, 2)})
+ avalancheTest1(t, &bytesKey{make([]byte, 4)})
+ avalancheTest1(t, &bytesKey{make([]byte, 8)})
+ avalancheTest1(t, &bytesKey{make([]byte, 16)})
+ avalancheTest1(t, &bytesKey{make([]byte, 32)})
+ avalancheTest1(t, &bytesKey{make([]byte, 200)})
+}
+func avalancheTest1(t *testing.T, k key) {
+ const REP = 100000
+ r := rand.New(rand.NewSource(1234))
+ n := k.bits()
+
+ // grid[i][j] is a count of whether flipping
+ // input bit i affects output bit j.
+ grid := make([][hashSize]int, n)
+
+ for z := 0; z < REP; z++ {
+ // pick a random key, hash it
+ k.random(r)
+ h := k.hash()
+
+ // flip each bit, hash & compare the results
+ for i := 0; i < n; i++ {
+ k.flipBit(i)
+ d := h ^ k.hash()
+ k.flipBit(i)
+
+ // record the effects of that bit flip
+ g := &grid[i]
+ for j := 0; j < hashSize; j++ {
+ g[j] += int(d & 1)
+ d >>= 1
+ }
+ }
+ }
+
+ // Each entry in the grid should be about REP/2.
+ // More precisely, we did N = k.bits() * hashSize experiments where
+ // each is the sum of REP coin flips. We want to find bounds on the
+ // sum of coin flips such that a truly random experiment would have
+ // all sums inside those bounds with 99% probability.
+ N := n * hashSize
+ var c float64
+ // find c such that Prob(mean-c*stddev < x < mean+c*stddev)^N > .9999
+ for c = 0.0; math.Pow(math.Erf(c/math.Sqrt(2)), float64(N)) < .9999; c += .1 {
+ }
+ c *= 4.0 // allowed slack - we don't need to be perfectly random
+ mean := .5 * REP
+ stddev := .5 * math.Sqrt(REP)
+ low := int(mean - c*stddev)
+ high := int(mean + c*stddev)
+ for i := 0; i < n; i++ {
+ for j := 0; j < hashSize; j++ {
+ x := grid[i][j]
+ if x < low || x > high {
+ t.Errorf("bad bias for %s bit %d -> bit %d: %d/%d\n", k.name(), i, j, x, REP)
+ }
+ }
+ }
+}
+
+// All bit rotations of a set of distinct keys
+func TestSmhasherWindowed(t *testing.T) {
+ windowed(t, &bytesKey{make([]byte, 128)})
+}
+func windowed(t *testing.T, k key) {
+ if runtime.GOARCH == "wasm" {
+ t.Skip("Too slow on wasm")
+ }
+ if testing.Short() {
+ t.Skip("Skipping in short mode")
+ }
+ const BITS = 16
+
+ for r := 0; r < k.bits(); r++ {
+ h := newHashSet()
+ for i := 0; i < 1<<BITS; i++ {
+ k.clear()
+ for j := 0; j < BITS; j++ {
+ if i>>uint(j)&1 != 0 {
+ k.flipBit((j + r) % k.bits())
+ }
+ }
+ h.add(k.hash())
+ }
+ h.check(t)
+ }
+}
+
+// All keys of the form prefix + [A-Za-z0-9]*N + suffix.
+func TestSmhasherText(t *testing.T) {
+ if testing.Short() {
+ t.Skip("Skipping in short mode")
+ }
+ text(t, "Foo", "Bar")
+ text(t, "FooBar", "")
+ text(t, "", "FooBar")
+}
+func text(t *testing.T, prefix, suffix string) {
+ const N = 4
+ const S = "ABCDEFGHIJKLMNOPQRSTabcdefghijklmnopqrst0123456789"
+ const L = len(S)
+ b := make([]byte, len(prefix)+N+len(suffix))
+ copy(b, prefix)
+ copy(b[len(prefix)+N:], suffix)
+ h := newHashSet()
+ c := b[len(prefix):]
+ for i := 0; i < L; i++ {
+ c[0] = S[i]
+ for j := 0; j < L; j++ {
+ c[1] = S[j]
+ for k := 0; k < L; k++ {
+ c[2] = S[k]
+ for x := 0; x < L; x++ {
+ c[3] = S[x]
+ h.addB(b)
+ }
+ }
+ }
+ }
+ h.check(t)
+}
+
+// Make sure different seed values generate different hashes.
+func TestSmhasherSeed(t *testing.T) {
+ if unsafe.Sizeof(uintptr(0)) == 4 {
+ t.Skip("32-bit platforms don't have ideal seed-input distributions (see issue 33988)")
+ }
+ h := newHashSet()
+ const N = 100000
+ s := "hello"
+ for i := 0; i < N; i++ {
+ h.addS_seed(s, Seed{s: uint64(i + 1)})
+ h.addS_seed(s, Seed{s: uint64(i+1) << 32}) // make sure high bits are used
+ }
+ h.check(t)
+}
diff --git a/src/hash/marshal_test.go b/src/hash/marshal_test.go
new file mode 100644
index 0000000..3091f7a
--- /dev/null
+++ b/src/hash/marshal_test.go
@@ -0,0 +1,107 @@
+// Copyright 2017 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Test that the hashes in the standard library implement
+// BinaryMarshaler, BinaryUnmarshaler,
+// and lock in the current representations.
+
+package hash_test
+
+import (
+ "bytes"
+ "crypto/md5"
+ "crypto/sha1"
+ "crypto/sha256"
+ "crypto/sha512"
+ "encoding"
+ "encoding/hex"
+ "hash"
+ "hash/adler32"
+ "hash/crc32"
+ "hash/crc64"
+ "hash/fnv"
+ "testing"
+)
+
+func fromHex(s string) []byte {
+ b, err := hex.DecodeString(s)
+ if err != nil {
+ panic(err)
+ }
+ return b
+}
+
+var marshalTests = []struct {
+ name string
+ new func() hash.Hash
+ golden []byte
+}{
+ {"adler32", func() hash.Hash { return adler32.New() }, fromHex("61646c01460a789d")},
+ {"crc32", func() hash.Hash { return crc32.NewIEEE() }, fromHex("63726301ca87914dc956d3e8")},
+ {"crc64", func() hash.Hash { return crc64.New(crc64.MakeTable(crc64.ISO)) }, fromHex("6372630273ba8484bbcd5def5d51c83c581695be")},
+ {"fnv32", func() hash.Hash { return fnv.New32() }, fromHex("666e760171ba3d77")},
+ {"fnv32a", func() hash.Hash { return fnv.New32a() }, fromHex("666e76027439f86f")},
+ {"fnv64", func() hash.Hash { return fnv.New64() }, fromHex("666e7603cc64e0e97692c637")},
+ {"fnv64a", func() hash.Hash { return fnv.New64a() }, fromHex("666e7604c522af9b0dede66f")},
+ {"fnv128", func() hash.Hash { return fnv.New128() }, fromHex("666e760561587a70a0f66d7981dc980e2cabbaf7")},
+ {"fnv128a", func() hash.Hash { return fnv.New128a() }, fromHex("666e7606a955802b0136cb67622b461d9f91e6ff")},
+ {"md5", md5.New, fromHex("6d643501a91b0023007aa14740a3979210b5f024c0c1c2c3c4c5c6c7c8c9cacbcccdcecfd0d1d2d3d4d5d6d7d8d9dadbdcdddedfe0e1e2e3e4e5e6e7e8e9eaebecedeeeff0f1f2f3f4f5f6f7f80000000000000000000000000000f9")},
+ {"sha1", sha1.New, fromHex("736861016dad5acb4dc003952f7a0b352ee5537ec381a228c0c1c2c3c4c5c6c7c8c9cacbcccdcecfd0d1d2d3d4d5d6d7d8d9dadbdcdddedfe0e1e2e3e4e5e6e7e8e9eaebecedeeeff0f1f2f3f4f5f6f7f80000000000000000000000000000f9")},
+ {"sha224", sha256.New224, fromHex("73686102f8b92fc047c9b4d82f01a6370841277b7a0d92108440178c83db855a8e66c2d9c0c1c2c3c4c5c6c7c8c9cacbcccdcecfd0d1d2d3d4d5d6d7d8d9dadbdcdddedfe0e1e2e3e4e5e6e7e8e9eaebecedeeeff0f1f2f3f4f5f6f7f80000000000000000000000000000f9")},
+ {"sha256", sha256.New, fromHex("736861032bed68b99987cae48183b2b049d393d0050868e4e8ba3730e9112b08765929b7c0c1c2c3c4c5c6c7c8c9cacbcccdcecfd0d1d2d3d4d5d6d7d8d9dadbdcdddedfe0e1e2e3e4e5e6e7e8e9eaebecedeeeff0f1f2f3f4f5f6f7f80000000000000000000000000000f9")},
+ {"sha384", sha512.New384, fromHex("736861046f1664d213dd802f7c47bc50637cf93592570a2b8695839148bf38341c6eacd05326452ef1cbe64d90f1ef73bb5ac7d2803565467d0ddb10c5ee3fc050f9f0c1808182838485868788898a8b8c8d8e8f909192939495969798999a9b9c9d9e9fa0a1a2a3a4a5a6a7a8a9aaabacadaeafb0b1b2b3b4b5b6b7b8b9babbbcbdbebfc0c1c2c3c4c5c6c7c8c9cacbcccdcecfd0d1d2d3d4d5d6d7d8d9dadbdcdddedfe0e1e2e3e4e5e6e7e8e9eaebecedeeeff0f1f2f3f4f5f6f7f80000000000000000000000000000f9")},
+ {"sha512_224", sha512.New512_224, fromHex("736861056f1a450ec15af20572d0d1ee6518104d7cbbbe79a038557af5450ed7dbd420b53b7335209e951b4d9aff401f90549b9604fa3d823fbb8581c73582a88aa84022808182838485868788898a8b8c8d8e8f909192939495969798999a9b9c9d9e9fa0a1a2a3a4a5a6a7a8a9aaabacadaeafb0b1b2b3b4b5b6b7b8b9babbbcbdbebfc0c1c2c3c4c5c6c7c8c9cacbcccdcecfd0d1d2d3d4d5d6d7d8d9dadbdcdddedfe0e1e2e3e4e5e6e7e8e9eaebecedeeeff0f1f2f3f4f5f6f7f80000000000000000000000000000f9")},
+ {"sha512_256", sha512.New512_256, fromHex("736861067c541f1d1a72536b1f5dad64026bcc7c508f8a2126b51f46f8b9bff63a26fee70980718031e96832e95547f4fe76160ff84076db53b4549b86354af8e17b5116808182838485868788898a8b8c8d8e8f909192939495969798999a9b9c9d9e9fa0a1a2a3a4a5a6a7a8a9aaabacadaeafb0b1b2b3b4b5b6b7b8b9babbbcbdbebfc0c1c2c3c4c5c6c7c8c9cacbcccdcecfd0d1d2d3d4d5d6d7d8d9dadbdcdddedfe0e1e2e3e4e5e6e7e8e9eaebecedeeeff0f1f2f3f4f5f6f7f80000000000000000000000000000f9")},
+ {"sha512", sha512.New, fromHex("736861078e03953cd57cd6879321270afa70c5827bb5b69be59a8f0130147e94f2aedf7bdc01c56c92343ca8bd837bb7f0208f5a23e155694516b6f147099d491a30b151808182838485868788898a8b8c8d8e8f909192939495969798999a9b9c9d9e9fa0a1a2a3a4a5a6a7a8a9aaabacadaeafb0b1b2b3b4b5b6b7b8b9babbbcbdbebfc0c1c2c3c4c5c6c7c8c9cacbcccdcecfd0d1d2d3d4d5d6d7d8d9dadbdcdddedfe0e1e2e3e4e5e6e7e8e9eaebecedeeeff0f1f2f3f4f5f6f7f80000000000000000000000000000f9")},
+}
+
+func TestMarshalHash(t *testing.T) {
+ for _, tt := range marshalTests {
+ t.Run(tt.name, func(t *testing.T) {
+ buf := make([]byte, 256)
+ for i := range buf {
+ buf[i] = byte(i)
+ }
+
+ h := tt.new()
+ h.Write(buf[:256])
+ sum := h.Sum(nil)
+
+ h2 := tt.new()
+ h3 := tt.new()
+ const split = 249
+ for i := 0; i < split; i++ {
+ h2.Write(buf[i : i+1])
+ }
+ h2m, ok := h2.(encoding.BinaryMarshaler)
+ if !ok {
+ t.Fatalf("Hash does not implement MarshalBinary")
+ }
+ enc, err := h2m.MarshalBinary()
+ if err != nil {
+ t.Fatalf("MarshalBinary: %v", err)
+ }
+ if !bytes.Equal(enc, tt.golden) {
+ t.Errorf("MarshalBinary = %x, want %x", enc, tt.golden)
+ }
+ h3u, ok := h3.(encoding.BinaryUnmarshaler)
+ if !ok {
+ t.Fatalf("Hash does not implement UnmarshalBinary")
+ }
+ if err := h3u.UnmarshalBinary(enc); err != nil {
+ t.Fatalf("UnmarshalBinary: %v", err)
+ }
+ h2.Write(buf[split:])
+ h3.Write(buf[split:])
+ sum2 := h2.Sum(nil)
+ sum3 := h3.Sum(nil)
+ if !bytes.Equal(sum2, sum) {
+ t.Fatalf("Sum after MarshalBinary = %x, want %x", sum2, sum)
+ }
+ if !bytes.Equal(sum3, sum) {
+ t.Fatalf("Sum after UnmarshalBinary = %x, want %x", sum3, sum)
+ }
+ })
+ }
+}
diff --git a/src/hash/test_cases.txt b/src/hash/test_cases.txt
new file mode 100644
index 0000000..26d3ccc
--- /dev/null
+++ b/src/hash/test_cases.txt
@@ -0,0 +1,31 @@
+
+a
+ab
+abc
+abcd
+abcde
+abcdef
+abcdefg
+abcdefgh
+abcdefghi
+abcdefghij
+Discard medicine more than two years old.
+He who has a shady past knows that nice guys finish last.
+I wouldn't marry him with a ten foot pole.
+Free! Free!/A trip/to Mars/for 900/empty jars/Burma Shave
+The days of the digital watch are numbered. -Tom Stoppard
+Nepal premier won't resign.
+For every action there is an equal and opposite government program.
+His money is twice tainted: 'taint yours and 'taint mine.
+There is no reason for any individual to have a computer in their home. -Ken Olsen, 1977
+It's a tiny change to the code and not completely disgusting. - Bob Manchek
+size: a.out: bad magic
+The major problem is with sendmail. -Mark Horton
+Give me a rock, paper and scissors and I will move the world. CCFestoon
+If the enemy is within range, then so are you.
+It's well we cannot hear the screams/That we create in others' dreams.
+You remind me of a TV show, but that's all right: I watch it anyway.
+C is as portable as Stonehedge!!
+Even if I could be Shakespeare, I think I should still choose to be Faraday. - A. Huxley
+The fugacity of a constituent in a mixture of gases at a given temperature is proportional to its mole fraction. Lewis-Randall Rule
+How can you write a big system without C++? -Paul Glick
diff --git a/src/hash/test_gen.awk b/src/hash/test_gen.awk
new file mode 100644
index 0000000..804f786
--- /dev/null
+++ b/src/hash/test_gen.awk
@@ -0,0 +1,14 @@
+# Copyright 2009 The Go Authors. All rights reserved.
+# Use of this source code is governed by a BSD-style
+# license that can be found in the LICENSE file.
+
+# awk -f test_gen.awk test_cases.txt
+# generates test case table.
+# edit next line to set particular reference implementation and name.
+BEGIN { cmd = "echo -n `9 sha1sum`"; name = "Sha1Test" }
+{
+ printf("\t%s{ \"", name);
+ printf("%s", $0) |cmd;
+ close(cmd);
+ printf("\", \"%s\" },\n", $0);
+}