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📄 mac_noasm.go // Copyright 2018 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 && !ppc64le && !ppc64 && !s390x) \|\| !gc \|\| purego package poly1305 type mac struct{ macGeneric }	278 B	2025-05-25 12:27
📄 poly1305.go // Copyright 2012 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 poly1305 implements Poly1305 one-time message authentication code as // specified in https://cr.yp.to/mac/poly1305-20050329.pdf. // // Poly1305 is a fast, one-time authentication function. It is infeasible for an // attacker to generate an authenticator for a message without the key. However, a // key must only be used for a single message. Authenticating two different // messages with the same key allows an attacker to forge authenticators for other // messages with the same key. // // Poly1305 was originally coupled with AES in order to make Poly1305-AES. AES was // used with a fixed key in order to generate one-time keys from an nonce. // However, in this package AES isn't used and the one-time key is specified // directly. package poly1305 import "crypto/subtle" // TagSize is the size, in bytes, of a poly1305 authenticator. const TagSize = 16 // Sum generates an authenticator for msg using a one-time key and puts the // 16-byte result into out. Authenticating two different messages with the same // key allows an attacker to forge messages at will. func Sum(out [16]byte, m []byte, key [32]byte) { h := New(key) h.Write(m) h.Sum(out[:0]) } // Verify returns true if mac is a valid authenticator for m with the given key. func Verify(mac [16]byte, m []byte, key [32]byte) bool { var tmp [16]byte Sum(&tmp, m, key) return subtle.ConstantTimeCompare(tmp[:], mac[:]) == 1 } // New returns a new MAC computing an authentication // tag of all data written to it with the given key. // This allows writing the message progressively instead // of passing it as a single slice. Common users should use // the Sum function instead. // // The key must be unique for each message, as authenticating // two different messages with the same key allows an attacker // to forge messages at will. func New(key [32]byte) MAC { m := &MAC{} initialize(key, &m.macState) return m } // MAC is an io.Writer computing an authentication tag // of the data written to it. // // MAC cannot be used like common hash.Hash implementations, // because using a poly1305 key twice breaks its security. // Therefore writing data to a running MAC after calling // Sum or Verify causes it to panic. type MAC struct { mac // platform-dependent implementation finalized bool } // Size returns the number of bytes Sum will return. func (h MAC) Size() int { return TagSize } // Write adds more data to the running message authentication code. // It never returns an error. // // It must not be called after the first call of Sum or Verify. func (h MAC) Write(p []byte) (n int, err error) { if h.finalized { panic("poly1305: write to MAC after Sum or Verify") } return h.mac.Write(p) } // Sum computes the authenticator of all data written to the // message authentication code. func (h MAC) Sum(b []byte) []byte { var mac [TagSize]byte h.mac.Sum(&mac) h.finalized = true return append(b, mac[:]...) } // Verify returns whether the authenticator of all data written to // the message authentication code matches the expected value. func (h MAC) Verify(expected []byte) bool { var mac [TagSize]byte h.mac.Sum(&mac) h.finalized = true return subtle.ConstantTimeCompare(expected, mac[:]) == 1 }	3.31 KB	2025-05-25 12:27
📄 poly1305_test.go // Copyright 2012 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 poly1305 import ( "crypto/rand" "encoding/binary" "encoding/hex" "flag" "testing" "unsafe" ) var stressFlag = flag.Bool("stress", false, "run slow stress tests") type test struct { in string key string tag string state string } func (t test) Input() []byte { in, err := hex.DecodeString(t.in) if err != nil { panic(err) } return in } func (t test) Key() [32]byte { buf, err := hex.DecodeString(t.key) if err != nil { panic(err) } var key [32]byte copy(key[:], buf[:32]) return key } func (t test) Tag() [16]byte { buf, err := hex.DecodeString(t.tag) if err != nil { panic(err) } var tag [16]byte copy(tag[:], buf[:16]) return tag } func (t test) InitialState() [3]uint64 { // state is hex encoded in big-endian byte order if t.state == "" { return [3]uint64{0, 0, 0} } buf, err := hex.DecodeString(t.state) if err != nil { panic(err) } if len(buf) != 38 { panic("incorrect state length") } return [3]uint64{ binary.BigEndian.Uint64(buf[16:24]), binary.BigEndian.Uint64(buf[8:16]), binary.BigEndian.Uint64(buf[0:8]), } } func testSum(t testing.T, unaligned bool, sumImpl func(tag [TagSize]byte, msg []byte, key [32]byte)) { var tag [16]byte for i, v := range testData { // cannot set initial state before calling sum, so skip those tests if v.InitialState() != [3]uint64{0, 0, 0} { continue } in := v.Input() if unaligned { in = unalignBytes(in) } key := v.Key() sumImpl(&tag, in, &key) if tag != v.Tag() { t.Errorf("%d: expected %x, got %x", i, v.Tag(), tag[:]) } if !Verify(&tag, in, &key) { t.Errorf("%d: tag didn't verify", i) } // If the key is zero, the tag will always be zero, independent of the input. if len(in) > 0 && key != [32]byte{} { in[0] ^= 0xff if Verify(&tag, in, &key) { t.Errorf("%d: tag verified after altering the input", i) } in[0] ^= 0xff } // If the input is empty, the tag only depends on the second half of the key. if len(in) > 0 { key[0] ^= 0xff if Verify(&tag, in, &key) { t.Errorf("%d: tag verified after altering the key", i) } key[0] ^= 0xff } tag[0] ^= 0xff if Verify(&tag, in, &key) { t.Errorf("%d: tag verified after altering the tag", i) } tag[0] ^= 0xff } } func TestBurnin(t testing.T) { // This test can be used to sanity-check significant changes. It can // take about many minutes to run, even on fast machines. It's disabled // by default. if !stressFlag { t.Skip("skipping without -stress") } var key [32]byte var input [25]byte var output [16]byte for i := range key { key[i] = 1 } for i := range input { input[i] = 2 } for i := uint64(0); i < 1e10; i++ { Sum(&output, input[:], &key) copy(key[0:], output[:]) copy(key[16:], output[:]) copy(input[:], output[:]) copy(input[16:], output[:]) } const expected = "5e3b866aea0b636d240c83c428f84bfa" if got := hex.EncodeToString(output[:]); got != expected { t.Errorf("expected %s, got %s", expected, got) } } func TestSum(t testing.T) { testSum(t, false, Sum) } func TestSumUnaligned(t testing.T) { testSum(t, true, Sum) } func TestSumGeneric(t testing.T) { testSum(t, false, sumGeneric) } func TestSumGenericUnaligned(t testing.T) { testSum(t, true, sumGeneric) } func TestWriteGeneric(t testing.T) { testWriteGeneric(t, false) } func TestWriteGenericUnaligned(t testing.T) { testWriteGeneric(t, true) } func TestWrite(t testing.T) { testWrite(t, false) } func TestWriteUnaligned(t testing.T) { testWrite(t, true) } func testWriteGeneric(t testing.T, unaligned bool) { for i, v := range testData { key := v.Key() input := v.Input() var out [16]byte if unaligned { input = unalignBytes(input) } h := newMACGeneric(&key) if s := v.InitialState(); s != [3]uint64{0, 0, 0} { h.macState.h = s } n, err := h.Write(input[:len(input)/3]) if err != nil \|\| n != len(input[:len(input)/3]) { t.Errorf("#%d: unexpected Write results: n = %d, err = %v", i, n, err) } n, err = h.Write(input[len(input)/3:]) if err != nil \|\| n != len(input[len(input)/3:]) { t.Errorf("#%d: unexpected Write results: n = %d, err = %v", i, n, err) } h.Sum(&out) if tag := v.Tag(); out != tag { t.Errorf("%d: expected %x, got %x", i, tag[:], out[:]) } } } func testWrite(t testing.T, unaligned bool) { for i, v := range testData { key := v.Key() input := v.Input() var out [16]byte if unaligned { input = unalignBytes(input) } h := New(&key) if s := v.InitialState(); s != [3]uint64{0, 0, 0} { h.macState.h = s } n, err := h.Write(input[:len(input)/3]) if err != nil \|\| n != len(input[:len(input)/3]) { t.Errorf("#%d: unexpected Write results: n = %d, err = %v", i, n, err) } n, err = h.Write(input[len(input)/3:]) if err != nil \|\| n != len(input[len(input)/3:]) { t.Errorf("#%d: unexpected Write results: n = %d, err = %v", i, n, err) } h.Sum(out[:0]) tag := v.Tag() if out != tag { t.Errorf("%d: expected %x, got %x", i, tag[:], out[:]) } if !h.Verify(tag[:]) { t.Errorf("%d: Verify failed", i) } tag[0] ^= 0xff if h.Verify(tag[:]) { t.Errorf("%d: Verify succeeded after modifying the tag", i) } } } func benchmarkSum(b testing.B, size int, unaligned bool) { var out [16]byte var key [32]byte in := make([]byte, size) if unaligned { in = unalignBytes(in) } rand.Read(in) b.SetBytes(int64(len(in))) b.ResetTimer() for i := 0; i < b.N; i++ { Sum(&out, in, &key) } } func benchmarkWrite(b testing.B, size int, unaligned bool) { var key [32]byte h := New(&key) in := make([]byte, size) if unaligned { in = unalignBytes(in) } rand.Read(in) b.SetBytes(int64(len(in))) b.ResetTimer() for i := 0; i < b.N; i++ { h.Write(in) } } func Benchmark64(b testing.B) { benchmarkSum(b, 64, false) } func Benchmark1K(b testing.B) { benchmarkSum(b, 1024, false) } func Benchmark2M(b testing.B) { benchmarkSum(b, 210241024, false) } func Benchmark64Unaligned(b testing.B) { benchmarkSum(b, 64, true) } func Benchmark1KUnaligned(b testing.B) { benchmarkSum(b, 1024, true) } func Benchmark2MUnaligned(b testing.B) { benchmarkSum(b, 210241024, true) } func BenchmarkWrite64(b testing.B) { benchmarkWrite(b, 64, false) } func BenchmarkWrite1K(b testing.B) { benchmarkWrite(b, 1024, false) } func BenchmarkWrite2M(b testing.B) { benchmarkWrite(b, 210241024, false) } func BenchmarkWrite64Unaligned(b testing.B) { benchmarkWrite(b, 64, true) } func BenchmarkWrite1KUnaligned(b testing.B) { benchmarkWrite(b, 1024, true) } func BenchmarkWrite2MUnaligned(b testing.B) { benchmarkWrite(b, 210241024, true) } func unalignBytes(in []byte) []byte { out := make([]byte, len(in)+1) if uintptr(unsafe.Pointer(&out[0]))&(unsafe.Alignof(uint32(0))-1) == 0 { out = out[1:] } else { out = out[:len(in)] } copy(out, in) return out }	6.98 KB	2025-05-25 12:27
📄 sum_amd64.go // Copyright 2012 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 gc && !purego package poly1305 //go:noescape func update(state macState, msg []byte) // mac is a wrapper for macGeneric that redirects calls that would have gone to // updateGeneric to update. // // Its Write and Sum methods are otherwise identical to the macGeneric ones, but // using function pointers would carry a major performance cost. type mac struct{ macGeneric } func (h mac) Write(p []byte) (int, error) { nn := len(p) if h.offset > 0 { n := copy(h.buffer[h.offset:], p) if h.offset+n < TagSize { h.offset += n return nn, nil } p = p[n:] h.offset = 0 update(&h.macState, h.buffer[:]) } if n := len(p) - (len(p) % TagSize); n > 0 { update(&h.macState, p[:n]) p = p[n:] } if len(p) > 0 { h.offset += copy(h.buffer[h.offset:], p) } return nn, nil } func (h mac) Sum(out [16]byte) { state := h.macState if h.offset > 0 { update(&state, h.buffer[:h.offset]) } finalize(out, &state.h, &state.s) }	1.09 KB	2025-05-25 12:27
📄 sum_amd64.s // Code generated by command: go run sum_amd64_asm.go -out ../sum_amd64.s -pkg poly1305. DO NOT EDIT. //go:build gc && !purego // func update(state *macState, msg []byte) TEXT ·update(SB), $0-32 MOVQ state+0(FP), DI MOVQ msg_base+8(FP), SI MOVQ msg_len+16(FP), R15 MOVQ (DI), R8 MOVQ 8(DI), R9 MOVQ 16(DI), R10 MOVQ 24(DI), R11 MOVQ 32(DI), R12 CMPQ R15, $0x10 JB bytes_between_0_and_15 loop: ADDQ (SI), R8 ADCQ 8(SI), R9 ADCQ $0x01, R10 LEAQ 16(SI), SI multiply: MOVQ R11, AX MULQ R8 MOVQ AX, BX MOVQ DX, CX MOVQ R11, AX MULQ R9 ADDQ AX, CX ADCQ $0x00, DX MOVQ R11, R13 IMULQ R10, R13 ADDQ DX, R13 MOVQ R12, AX MULQ R8 ADDQ AX, CX ADCQ $0x00, DX MOVQ DX, R8 MOVQ R12, R14 IMULQ R10, R14 MOVQ R12, AX MULQ R9 ADDQ AX, R13 ADCQ DX, R14 ADDQ R8, R13 ADCQ $0x00, R14 MOVQ BX, R8 MOVQ CX, R9 MOVQ R13, R10 ANDQ $0x03, R10 MOVQ R13, BX ANDQ $-4, BX ADDQ BX, R8 ADCQ R14, R9 ADCQ $0x00, R10 SHRQ $0x02, R14, R13 SHRQ $0x02, R14 ADDQ R13, R8 ADCQ R14, R9 ADCQ $0x00, R10 SUBQ $0x10, R15 CMPQ R15, $0x10 JAE loop bytes_between_0_and_15: TESTQ R15, R15 JZ done MOVQ $0x00000001, BX XORQ CX, CX XORQ R13, R13 ADDQ R15, SI flush_buffer: SHLQ $0x08, BX, CX SHLQ $0x08, BX MOVB -1(SI), R13 XORQ R13, BX DECQ SI DECQ R15 JNZ flush_buffer ADDQ BX, R8 ADCQ CX, R9 ADCQ $0x00, R10 MOVQ $0x00000010, R15 JMP multiply done: MOVQ R8, (DI) MOVQ R9, 8(DI) MOVQ R10, 16(DI) RET	1.46 KB	2025-05-25 12:27
📄 sum_generic.go // Copyright 2018 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 provides the generic implementation of Sum and MAC. Other files // might provide optimized assembly implementations of some of this code. package poly1305 import ( "encoding/binary" "math/bits" ) // Poly1305 [RFC 7539] is a relatively simple algorithm: the authentication tag // for a 64 bytes message is approximately // // s + m[0:16] * r⁴ + m[16:32] * r³ + m[32:48] * r² + m[48:64] * r mod 2¹³⁰ - 5 // // for some secret r and s. It can be computed sequentially like // // for len(msg) > 0: // h += read(msg, 16) // h = r // h %= 2¹³⁰ - 5 // return h + s // // All the complexity is about doing performant constant-time math on numbers // larger than any available numeric type. func sumGeneric(out [TagSize]byte, msg []byte, key [32]byte) { h := newMACGeneric(key) h.Write(msg) h.Sum(out) } func newMACGeneric(key [32]byte) macGeneric { m := macGeneric{} initialize(key, &m.macState) return m } // macState holds numbers in saturated 64-bit little-endian limbs. That is, // the value of [x0, x1, x2] is x[0] + x[1] * 2⁶⁴ + x[2] * 2¹²⁸. type macState struct { // h is the main accumulator. It is to be interpreted modulo 2¹³⁰ - 5, but // can grow larger during and after rounds. It must, however, remain below // 2 * (2¹³⁰ - 5). h [3]uint64 // r and s are the private key components. r [2]uint64 s [2]uint64 } type macGeneric struct { macState buffer [TagSize]byte offset int } // Write splits the incoming message into TagSize chunks, and passes them to // update. It buffers incomplete chunks. func (h macGeneric) Write(p []byte) (int, error) { nn := len(p) if h.offset > 0 { n := copy(h.buffer[h.offset:], p) if h.offset+n < TagSize { h.offset += n return nn, nil } p = p[n:] h.offset = 0 updateGeneric(&h.macState, h.buffer[:]) } if n := len(p) - (len(p) % TagSize); n > 0 { updateGeneric(&h.macState, p[:n]) p = p[n:] } if len(p) > 0 { h.offset += copy(h.buffer[h.offset:], p) } return nn, nil } // Sum flushes the last incomplete chunk from the buffer, if any, and generates // the MAC output. It does not modify its state, in order to allow for multiple // calls to Sum, even if no Write is allowed after Sum. func (h macGeneric) Sum(out [TagSize]byte) { state := h.macState if h.offset > 0 { updateGeneric(&state, h.buffer[:h.offset]) } finalize(out, &state.h, &state.s) } // [rMask0, rMask1] is the specified Poly1305 clamping mask in little-endian. It // clears some bits of the secret coefficient to make it possible to implement // multiplication more efficiently. const ( rMask0 = 0x0FFFFFFC0FFFFFFF rMask1 = 0x0FFFFFFC0FFFFFFC ) // initialize loads the 256-bit key into the two 128-bit secret values r and s. func initialize(key [32]byte, m macState) { m.r[0] = binary.LittleEndian.Uint64(key[0:8]) & rMask0 m.r[1] = binary.LittleEndian.Uint64(key[8:16]) & rMask1 m.s[0] = binary.LittleEndian.Uint64(key[16:24]) m.s[1] = binary.LittleEndian.Uint64(key[24:32]) } // uint128 holds a 128-bit number as two 64-bit limbs, for use with the // bits.Mul64 and bits.Add64 intrinsics. type uint128 struct { lo, hi uint64 } func mul64(a, b uint64) uint128 { hi, lo := bits.Mul64(a, b) return uint128{lo, hi} } func add128(a, b uint128) uint128 { lo, c := bits.Add64(a.lo, b.lo, 0) hi, c := bits.Add64(a.hi, b.hi, c) if c != 0 { panic("poly1305: unexpected overflow") } return uint128{lo, hi} } func shiftRightBy2(a uint128) uint128 { a.lo = a.lo>>2 \| (a.hi&3)<<62 a.hi = a.hi >> 2 return a } // updateGeneric absorbs msg into the state.h accumulator. For each chunk m of // 128 bits of message, it computes // // h₊ = (h + m) r mod 2¹³⁰ - 5 // // If the msg length is not a multiple of TagSize, it assumes the last // incomplete chunk is the final one. func updateGeneric(state macState, msg []byte) { h0, h1, h2 := state.h[0], state.h[1], state.h[2] r0, r1 := state.r[0], state.r[1] for len(msg) > 0 { var c uint64 // For the first step, h + m, we use a chain of bits.Add64 intrinsics. // The resulting value of h might exceed 2¹³⁰ - 5, but will be partially // reduced at the end of the multiplication below. // // The spec requires us to set a bit just above the message size, not to // hide leading zeroes. For full chunks, that's 1 << 128, so we can just // add 1 to the most significant (2¹²⁸) limb, h2. if len(msg) >= TagSize { h0, c = bits.Add64(h0, binary.LittleEndian.Uint64(msg[0:8]), 0) h1, c = bits.Add64(h1, binary.LittleEndian.Uint64(msg[8:16]), c) h2 += c + 1 msg = msg[TagSize:] } else { var buf [TagSize]byte copy(buf[:], msg) buf[len(msg)] = 1 h0, c = bits.Add64(h0, binary.LittleEndian.Uint64(buf[0:8]), 0) h1, c = bits.Add64(h1, binary.LittleEndian.Uint64(buf[8:16]), c) h2 += c msg = nil } // Multiplication of big number limbs is similar to elementary school // columnar multiplication. Instead of digits, there are 64-bit limbs. // // We are multiplying a 3 limbs number, h, by a 2 limbs number, r. // // h2 h1 h0 x // r1 r0 = // ---------------- // h2r0 h1r0 h0r0 <-- individual 128-bit products // + h2r1 h1r1 h0r1 // ------------------------ // m3 m2 m1 m0 <-- result in 128-bit overlapping limbs // ------------------------ // m3.hi m2.hi m1.hi m0.hi <-- carry propagation // + m3.lo m2.lo m1.lo m0.lo // ------------------------------- // t4 t3 t2 t1 t0 <-- final result in 64-bit limbs // // The main difference from pen-and-paper multiplication is that we do // carry propagation in a separate step, as if we wrote two digit sums // at first (the 128-bit limbs), and then carried the tens all at once. h0r0 := mul64(h0, r0) h1r0 := mul64(h1, r0) h2r0 := mul64(h2, r0) h0r1 := mul64(h0, r1) h1r1 := mul64(h1, r1) h2r1 := mul64(h2, r1) // Since h2 is known to be at most 7 (5 + 1 + 1), and r0 and r1 have their // top 4 bits cleared by rMask{0,1}, we know that their product is not going // to overflow 64 bits, so we can ignore the high part of the products. // // This also means that the product doesn't have a fifth limb (t4). if h2r0.hi != 0 { panic("poly1305: unexpected overflow") } if h2r1.hi != 0 { panic("poly1305: unexpected overflow") } m0 := h0r0 m1 := add128(h1r0, h0r1) // These two additions don't overflow thanks again m2 := add128(h2r0, h1r1) // to the 4 masked bits at the top of r0 and r1. m3 := h2r1 t0 := m0.lo t1, c := bits.Add64(m1.lo, m0.hi, 0) t2, c := bits.Add64(m2.lo, m1.hi, c) t3, _ := bits.Add64(m3.lo, m2.hi, c) // Now we have the result as 4 64-bit limbs, and we need to reduce it // modulo 2¹³⁰ - 5. The special shape of this Crandall prime lets us do // a cheap partial reduction according to the reduction identity // // c 2¹³⁰ + n = c * 5 + n mod 2¹³⁰ - 5 // // because 2¹³⁰ = 5 mod 2¹³⁰ - 5. Partial reduction since the result is // likely to be larger than 2¹³⁰ - 5, but still small enough to fit the // assumptions we make about h in the rest of the code. // // See also https://speakerdeck.com/gtank/engineering-prime-numbers?slide=23 // We split the final result at the 2¹³⁰ mark into h and cc, the carry. // Note that the carry bits are effectively shifted left by 2, in other // words, cc = c * 4 for the c in the reduction identity. h0, h1, h2 = t0, t1, t2&maskLow2Bits cc := uint128{t2 & maskNotLow2Bits, t3} // To add c * 5 to h, we first add cc = c * 4, and then add (cc >> 2) = c. h0, c = bits.Add64(h0, cc.lo, 0) h1, c = bits.Add64(h1, cc.hi, c) h2 += c cc = shiftRightBy2(cc) h0, c = bits.Add64(h0, cc.lo, 0) h1, c = bits.Add64(h1, cc.hi, c) h2 += c // h2 is at most 3 + 1 + 1 = 5, making the whole of h at most // // 5 * 2¹²⁸ + (2¹²⁸ - 1) = 6 * 2¹²⁸ - 1 } state.h[0], state.h[1], state.h[2] = h0, h1, h2 } const ( maskLow2Bits uint64 = 0x0000000000000003 maskNotLow2Bits uint64 = ^maskLow2Bits ) // select64 returns x if v == 1 and y if v == 0, in constant time. func select64(v, x, y uint64) uint64 { return ^(v-1)&x \| (v-1)&y } // [p0, p1, p2] is 2¹³⁰ - 5 in little endian order. const ( p0 = 0xFFFFFFFFFFFFFFFB p1 = 0xFFFFFFFFFFFFFFFF p2 = 0x0000000000000003 ) // finalize completes the modular reduction of h and computes // // out = h + s mod 2¹²⁸ func finalize(out [TagSize]byte, h [3]uint64, s [2]uint64) { h0, h1, h2 := h[0], h[1], h[2] // After the partial reduction in updateGeneric, h might be more than // 2¹³⁰ - 5, but will be less than 2 (2¹³⁰ - 5). To complete the reduction // in constant time, we compute t = h - (2¹³⁰ - 5), and select h as the // result if the subtraction underflows, and t otherwise. hMinusP0, b := bits.Sub64(h0, p0, 0) hMinusP1, b := bits.Sub64(h1, p1, b) _, b = bits.Sub64(h2, p2, b) // h = h if h < p else h - p h0 = select64(b, h0, hMinusP0) h1 = select64(b, h1, hMinusP1) // Finally, we compute the last Poly1305 step // // tag = h + s mod 2¹²⁸ // // by just doing a wide addition with the 128 low bits of h and discarding // the overflow. h0, c := bits.Add64(h0, s[0], 0) h1, _ = bits.Add64(h1, s[1], c) binary.LittleEndian.PutUint64(out[0:8], h0) binary.LittleEndian.PutUint64(out[8:16], h1) }	9.56 KB	2025-05-25 12:27
📄 sum_ppc64x.go // 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 gc && !purego && (ppc64 \|\| ppc64le) package poly1305 //go:noescape func update(state macState, msg []byte) // mac is a wrapper for macGeneric that redirects calls that would have gone to // updateGeneric to update. // // Its Write and Sum methods are otherwise identical to the macGeneric ones, but // using function pointers would carry a major performance cost. type mac struct{ macGeneric } func (h mac) Write(p []byte) (int, error) { nn := len(p) if h.offset > 0 { n := copy(h.buffer[h.offset:], p) if h.offset+n < TagSize { h.offset += n return nn, nil } p = p[n:] h.offset = 0 update(&h.macState, h.buffer[:]) } if n := len(p) - (len(p) % TagSize); n > 0 { update(&h.macState, p[:n]) p = p[n:] } if len(p) > 0 { h.offset += copy(h.buffer[h.offset:], p) } return nn, nil } func (h mac) Sum(out [16]byte) { state := h.macState if h.offset > 0 { update(&state, h.buffer[:h.offset]) } finalize(out, &state.h, &state.s) }	1.11 KB	2025-05-25 12:27
📄 sum_ppc64x.s // 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 gc && !purego && (ppc64 \|\| ppc64le) #include "textflag.h" // This was ported from the amd64 implementation. #ifdef GOARCH_ppc64le #define LE_MOVD MOVD #define LE_MOVWZ MOVWZ #define LE_MOVHZ MOVHZ #else #define LE_MOVD MOVDBR #define LE_MOVWZ MOVWBR #define LE_MOVHZ MOVHBR #endif #define POLY1305_ADD(msg, h0, h1, h2, t0, t1, t2) \ LE_MOVD (msg)( R0), t0; \ LE_MOVD (msg)(R24), t1; \ MOVD $1, t2; \ ADDC t0, h0, h0; \ ADDE t1, h1, h1; \ ADDE t2, h2; \ ADD $16, msg #define POLY1305_MUL(h0, h1, h2, r0, r1, t0, t1, t2, t3, t4, t5) \ MULLD r0, h0, t0; \ MULHDU r0, h0, t1; \ MULLD r0, h1, t4; \ MULHDU r0, h1, t5; \ ADDC t4, t1, t1; \ MULLD r0, h2, t2; \ MULHDU r1, h0, t4; \ MULLD r1, h0, h0; \ ADDE t5, t2, t2; \ ADDC h0, t1, t1; \ MULLD h2, r1, t3; \ ADDZE t4, h0; \ MULHDU r1, h1, t5; \ MULLD r1, h1, t4; \ ADDC t4, t2, t2; \ ADDE t5, t3, t3; \ ADDC h0, t2, t2; \ MOVD $-4, t4; \ ADDZE t3; \ RLDICL $0, t2, $62, h2; \ AND t2, t4, h0; \ ADDC t0, h0, h0; \ ADDE t3, t1, h1; \ SLD $62, t3, t4; \ SRD $2, t2; \ ADDZE h2; \ OR t4, t2, t2; \ SRD $2, t3; \ ADDC t2, h0, h0; \ ADDE t3, h1, h1; \ ADDZE h2 // func update(state *[7]uint64, msg []byte) TEXT ·update(SB), $0-32 MOVD state+0(FP), R3 MOVD msg_base+8(FP), R4 MOVD msg_len+16(FP), R5 MOVD 0(R3), R8 // h0 MOVD 8(R3), R9 // h1 MOVD 16(R3), R10 // h2 MOVD 24(R3), R11 // r0 MOVD 32(R3), R12 // r1 MOVD $8, R24 CMP R5, $16 BLT bytes_between_0_and_15 loop: POLY1305_ADD(R4, R8, R9, R10, R20, R21, R22) PCALIGN $16 multiply: POLY1305_MUL(R8, R9, R10, R11, R12, R16, R17, R18, R14, R20, R21) ADD $-16, R5 CMP R5, $16 BGE loop bytes_between_0_and_15: CMP R5, $0 BEQ done MOVD $0, R16 // h0 MOVD $0, R17 // h1 flush_buffer: CMP R5, $8 BLE just1 MOVD $8, R21 SUB R21, R5, R21 // Greater than 8 -- load the rightmost remaining bytes in msg // and put into R17 (h1) LE_MOVD (R4)(R21), R17 MOVD $16, R22 // Find the offset to those bytes SUB R5, R22, R22 SLD $3, R22 // Shift to get only the bytes in msg SRD R22, R17, R17 // Put 1 at high end MOVD $1, R23 SLD $3, R21 SLD R21, R23, R23 OR R23, R17, R17 // Remainder is 8 MOVD $8, R5 just1: CMP R5, $8 BLT less8 // Exactly 8 LE_MOVD (R4), R16 CMP R17, $0 // Check if we've already set R17; if not // set 1 to indicate end of msg. BNE carry MOVD $1, R17 BR carry less8: MOVD $0, R16 // h0 MOVD $0, R22 // shift count CMP R5, $4 BLT less4 LE_MOVWZ (R4), R16 ADD $4, R4 ADD $-4, R5 MOVD $32, R22 less4: CMP R5, $2 BLT less2 LE_MOVHZ (R4), R21 SLD R22, R21, R21 OR R16, R21, R16 ADD $16, R22 ADD $-2, R5 ADD $2, R4 less2: CMP R5, $0 BEQ insert1 MOVBZ (R4), R21 SLD R22, R21, R21 OR R16, R21, R16 ADD $8, R22 insert1: // Insert 1 at end of msg MOVD $1, R21 SLD R22, R21, R21 OR R16, R21, R16 carry: // Add new values to h0, h1, h2 ADDC R16, R8 ADDE R17, R9 ADDZE R10, R10 MOVD $16, R5 ADD R5, R4 BR multiply done: // Save h0, h1, h2 in state MOVD R8, 0(R3) MOVD R9, 8(R3) MOVD R10, 16(R3) RET	3.31 KB	2025-05-25 12:27
📄 sum_s390x.go // Copyright 2018 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 gc && !purego package poly1305 import ( "golang.org/x/sys/cpu" ) // updateVX is an assembly implementation of Poly1305 that uses vector // instructions. It must only be called if the vector facility (vx) is // available. // //go:noescape func updateVX(state macState, msg []byte) // mac is a replacement for macGeneric that uses a larger buffer and redirects // calls that would have gone to updateGeneric to updateVX if the vector // facility is installed. // // A larger buffer is required for good performance because the vector // implementation has a higher fixed cost per call than the generic // implementation. type mac struct { macState buffer [16 TagSize]byte // size must be a multiple of block size (16) offset int } func (h mac) Write(p []byte) (int, error) { nn := len(p) if h.offset > 0 { n := copy(h.buffer[h.offset:], p) if h.offset+n < len(h.buffer) { h.offset += n return nn, nil } p = p[n:] h.offset = 0 if cpu.S390X.HasVX { updateVX(&h.macState, h.buffer[:]) } else { updateGeneric(&h.macState, h.buffer[:]) } } tail := len(p) % len(h.buffer) // number of bytes to copy into buffer body := len(p) - tail // number of bytes to process now if body > 0 { if cpu.S390X.HasVX { updateVX(&h.macState, p[:body]) } else { updateGeneric(&h.macState, p[:body]) } } h.offset = copy(h.buffer[:], p[body:]) // copy tail bytes - can be 0 return nn, nil } func (h mac) Sum(out [TagSize]byte) { state := h.macState remainder := h.buffer[:h.offset] // Use the generic implementation if we have 2 or fewer blocks left // to sum. The vector implementation has a higher startup time. if cpu.S390X.HasVX && len(remainder) > 2TagSize { updateVX(&state, remainder) } else if len(remainder) > 0 { updateGeneric(&state, remainder) } finalize(out, &state.h, &state.s) }	1.98 KB	2025-05-25 12:27
📄 sum_s390x.s // Copyright 2018 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 gc && !purego #include "textflag.h" // This implementation of Poly1305 uses the vector facility (vx) // to process up to 2 blocks (32 bytes) per iteration using an // algorithm based on the one described in: // // NEON crypto, Daniel J. Bernstein & Peter Schwabe // https://cryptojedi.org/papers/neoncrypto-20120320.pdf // // This algorithm uses 5 26-bit limbs to represent a 130-bit // value. These limbs are, for the most part, zero extended and // placed into 64-bit vector register elements. Each vector // register is 128-bits wide and so holds 2 of these elements. // Using 26-bit limbs allows us plenty of headroom to accommodate // accumulations before and after multiplication without // overflowing either 32-bits (before multiplication) or 64-bits // (after multiplication). // // In order to parallelise the operations required to calculate // the sum we use two separate accumulators and then sum those // in an extra final step. For compatibility with the generic // implementation we perform this summation at the end of every // updateVX call. // // To use two accumulators we must multiply the message blocks // by r² rather than r. Only the final message block should be // multiplied by r. // // Example: // // We want to calculate the sum (h) for a 64 byte message (m): // // h = m[0:16]r⁴ + m[16:32]r³ + m[32:48]r² + m[48:64]r // // To do this we split the calculation into the even indices // and odd indices of the message. These form our SIMD 'lanes': // // h = m[ 0:16]r⁴ + m[32:48]r² + <- lane 0 // m[16:32]r³ + m[48:64]r <- lane 1 // // To calculate this iteratively we refactor so that both lanes // are written in terms of r² and r: // // h = (m[ 0:16]r² + m[32:48])r² + <- lane 0 // (m[16:32]r² + m[48:64])r <- lane 1 // ^ ^ // \| coefficients for second iteration // coefficients for first iteration // // So in this case we would have two iterations. In the first // both lanes are multiplied by r². In the second only the // first lane is multiplied by r² and the second lane is // instead multiplied by r. This gives use the odd and even // powers of r that we need from the original equation. // // Notation: // // h - accumulator // r - key // m - message // // [a, b] - SIMD register holding two 64-bit values // [a, b, c, d] - SIMD register holding four 32-bit values // xᵢ[n] - limb n of variable x with bit width i // // Limbs are expressed in little endian order, so for 26-bit // limbs x₂₆[4] will be the most significant limb and x₂₆[0] // will be the least significant limb. // masking constants #define MOD24 V0 // [0x0000000000ffffff, 0x0000000000ffffff] - mask low 24-bits #define MOD26 V1 // [0x0000000003ffffff, 0x0000000003ffffff] - mask low 26-bits // expansion constants (see EXPAND macro) #define EX0 V2 #define EX1 V3 #define EX2 V4 // key (r², r or 1 depending on context) #define R_0 V5 #define R_1 V6 #define R_2 V7 #define R_3 V8 #define R_4 V9 // precalculated coefficients (5r², 5r or 0 depending on context) #define R5_1 V10 #define R5_2 V11 #define R5_3 V12 #define R5_4 V13 // message block (m) #define M_0 V14 #define M_1 V15 #define M_2 V16 #define M_3 V17 #define M_4 V18 // accumulator (h) #define H_0 V19 #define H_1 V20 #define H_2 V21 #define H_3 V22 #define H_4 V23 // temporary registers (for short-lived values) #define T_0 V24 #define T_1 V25 #define T_2 V26 #define T_3 V27 #define T_4 V28 GLOBL ·constants<>(SB), RODATA, $0x30 // EX0 DATA ·constants<>+0x00(SB)/8, $0x0006050403020100 DATA ·constants<>+0x08(SB)/8, $0x1016151413121110 // EX1 DATA ·constants<>+0x10(SB)/8, $0x060c0b0a09080706 DATA ·constants<>+0x18(SB)/8, $0x161c1b1a19181716 // EX2 DATA ·constants<>+0x20(SB)/8, $0x0d0d0d0d0d0f0e0d DATA ·constants<>+0x28(SB)/8, $0x1d1d1d1d1d1f1e1d // MULTIPLY multiplies each lane of f and g, partially reduced // modulo 2¹³⁰ - 5. The result, h, consists of partial products // in each lane that need to be reduced further to produce the // final result. // // h₁₃₀ = (f₁₃₀g₁₃₀) % 2¹³⁰ + (5f₁₃₀g₁₃₀) / 2¹³⁰ // // Note that the multiplication by 5 of the high bits is // achieved by precalculating the multiplication of four of the // g coefficients by 5. These are g51-g54. #define MULTIPLY(f0, f1, f2, f3, f4, g0, g1, g2, g3, g4, g51, g52, g53, g54, h0, h1, h2, h3, h4) \ VMLOF f0, g0, h0 \ VMLOF f0, g3, h3 \ VMLOF f0, g1, h1 \ VMLOF f0, g4, h4 \ VMLOF f0, g2, h2 \ VMLOF f1, g54, T_0 \ VMLOF f1, g2, T_3 \ VMLOF f1, g0, T_1 \ VMLOF f1, g3, T_4 \ VMLOF f1, g1, T_2 \ VMALOF f2, g53, h0, h0 \ VMALOF f2, g1, h3, h3 \ VMALOF f2, g54, h1, h1 \ VMALOF f2, g2, h4, h4 \ VMALOF f2, g0, h2, h2 \ VMALOF f3, g52, T_0, T_0 \ VMALOF f3, g0, T_3, T_3 \ VMALOF f3, g53, T_1, T_1 \ VMALOF f3, g1, T_4, T_4 \ VMALOF f3, g54, T_2, T_2 \ VMALOF f4, g51, h0, h0 \ VMALOF f4, g54, h3, h3 \ VMALOF f4, g52, h1, h1 \ VMALOF f4, g0, h4, h4 \ VMALOF f4, g53, h2, h2 \ VAG T_0, h0, h0 \ VAG T_3, h3, h3 \ VAG T_1, h1, h1 \ VAG T_4, h4, h4 \ VAG T_2, h2, h2 // REDUCE performs the following carry operations in four // stages, as specified in Bernstein & Schwabe: // // 1: h₂₆[0]->h₂₆[1] h₂₆[3]->h₂₆[4] // 2: h₂₆[1]->h₂₆[2] h₂₆[4]->h₂₆[0] // 3: h₂₆[0]->h₂₆[1] h₂₆[2]->h₂₆[3] // 4: h₂₆[3]->h₂₆[4] // // The result is that all of the limbs are limited to 26-bits // except for h₂₆[1] and h₂₆[4] which are limited to 27-bits. // // Note that although each limb is aligned at 26-bit intervals // they may contain values that exceed 2²⁶ - 1, hence the need // to carry the excess bits in each limb. #define REDUCE(h0, h1, h2, h3, h4) \ VESRLG $26, h0, T_0 \ VESRLG $26, h3, T_1 \ VN MOD26, h0, h0 \ VN MOD26, h3, h3 \ VAG T_0, h1, h1 \ VAG T_1, h4, h4 \ VESRLG $26, h1, T_2 \ VESRLG $26, h4, T_3 \ VN MOD26, h1, h1 \ VN MOD26, h4, h4 \ VESLG $2, T_3, T_4 \ VAG T_3, T_4, T_4 \ VAG T_2, h2, h2 \ VAG T_4, h0, h0 \ VESRLG $26, h2, T_0 \ VESRLG $26, h0, T_1 \ VN MOD26, h2, h2 \ VN MOD26, h0, h0 \ VAG T_0, h3, h3 \ VAG T_1, h1, h1 \ VESRLG $26, h3, T_2 \ VN MOD26, h3, h3 \ VAG T_2, h4, h4 // EXPAND splits the 128-bit little-endian values in0 and in1 // into 26-bit big-endian limbs and places the results into // the first and second lane of d₂₆[0:4] respectively. // // The EX0, EX1 and EX2 constants are arrays of byte indices // for permutation. The permutation both reverses the bytes // in the input and ensures the bytes are copied into the // destination limb ready to be shifted into their final // position. #define EXPAND(in0, in1, d0, d1, d2, d3, d4) \ VPERM in0, in1, EX0, d0 \ VPERM in0, in1, EX1, d2 \ VPERM in0, in1, EX2, d4 \ VESRLG $26, d0, d1 \ VESRLG $30, d2, d3 \ VESRLG $4, d2, d2 \ VN MOD26, d0, d0 \ // [in0₂₆[0], in1₂₆[0]] VN MOD26, d3, d3 \ // [in0₂₆[3], in1₂₆[3]] VN MOD26, d1, d1 \ // [in0₂₆[1], in1₂₆[1]] VN MOD24, d4, d4 \ // [in0₂₆[4], in1₂₆[4]] VN MOD26, d2, d2 // [in0₂₆[2], in1₂₆[2]] // func updateVX(state *macState, msg []byte) TEXT ·updateVX(SB), NOSPLIT, $0 MOVD state+0(FP), R1 LMG msg+8(FP), R2, R3 // R2=msg_base, R3=msg_len // load EX0, EX1 and EX2 MOVD $·constants<>(SB), R5 VLM (R5), EX0, EX2 // generate masks VGMG $(64-24), $63, MOD24 // [0x00ffffff, 0x00ffffff] VGMG $(64-26), $63, MOD26 // [0x03ffffff, 0x03ffffff] // load h (accumulator) and r (key) from state VZERO T_1 // [0, 0] VL 0(R1), T_0 // [h₆₄[0], h₆₄[1]] VLEG $0, 16(R1), T_1 // [h₆₄[2], 0] VL 24(R1), T_2 // [r₆₄[0], r₆₄[1]] VPDI $0, T_0, T_2, T_3 // [h₆₄[0], r₆₄[0]] VPDI $5, T_0, T_2, T_4 // [h₆₄[1], r₆₄[1]] // unpack h and r into 26-bit limbs // note: h₆₄[2] may have the low 3 bits set, so h₂₆[4] is a 27-bit value VN MOD26, T_3, H_0 // [h₂₆[0], r₂₆[0]] VZERO H_1 // [0, 0] VZERO H_3 // [0, 0] VGMG $(64-12-14), $(63-12), T_0 // [0x03fff000, 0x03fff000] - 26-bit mask with low 12 bits masked out VESLG $24, T_1, T_1 // [h₆₄[2]<<24, 0] VERIMG $-26&63, T_3, MOD26, H_1 // [h₂₆[1], r₂₆[1]] VESRLG $+52&63, T_3, H_2 // [h₂₆[2], r₂₆[2]] - low 12 bits only VERIMG $-14&63, T_4, MOD26, H_3 // [h₂₆[1], r₂₆[1]] VESRLG $40, T_4, H_4 // [h₂₆[4], r₂₆[4]] - low 24 bits only VERIMG $+12&63, T_4, T_0, H_2 // [h₂₆[2], r₂₆[2]] - complete VO T_1, H_4, H_4 // [h₂₆[4], r₂₆[4]] - complete // replicate r across all 4 vector elements VREPF $3, H_0, R_0 // [r₂₆[0], r₂₆[0], r₂₆[0], r₂₆[0]] VREPF $3, H_1, R_1 // [r₂₆[1], r₂₆[1], r₂₆[1], r₂₆[1]] VREPF $3, H_2, R_2 // [r₂₆[2], r₂₆[2], r₂₆[2], r₂₆[2]] VREPF $3, H_3, R_3 // [r₂₆[3], r₂₆[3], r₂₆[3], r₂₆[3]] VREPF $3, H_4, R_4 // [r₂₆[4], r₂₆[4], r₂₆[4], r₂₆[4]] // zero out lane 1 of h VLEIG $1, $0, H_0 // [h₂₆[0], 0] VLEIG $1, $0, H_1 // [h₂₆[1], 0] VLEIG $1, $0, H_2 // [h₂₆[2], 0] VLEIG $1, $0, H_3 // [h₂₆[3], 0] VLEIG $1, $0, H_4 // [h₂₆[4], 0] // calculate 5r (ignore least significant limb) VREPIF $5, T_0 VMLF T_0, R_1, R5_1 // [5r₂₆[1], 5r₂₆[1], 5r₂₆[1], 5r₂₆[1]] VMLF T_0, R_2, R5_2 // [5r₂₆[2], 5r₂₆[2], 5r₂₆[2], 5r₂₆[2]] VMLF T_0, R_3, R5_3 // [5r₂₆[3], 5r₂₆[3], 5r₂₆[3], 5r₂₆[3]] VMLF T_0, R_4, R5_4 // [5r₂₆[4], 5r₂₆[4], 5r₂₆[4], 5r₂₆[4]] // skip r² calculation if we are only calculating one block CMPBLE R3, $16, skip // calculate r² MULTIPLY(R_0, R_1, R_2, R_3, R_4, R_0, R_1, R_2, R_3, R_4, R5_1, R5_2, R5_3, R5_4, M_0, M_1, M_2, M_3, M_4) REDUCE(M_0, M_1, M_2, M_3, M_4) VGBM $0x0f0f, T_0 VERIMG $0, M_0, T_0, R_0 // [r₂₆[0], r²₂₆[0], r₂₆[0], r²₂₆[0]] VERIMG $0, M_1, T_0, R_1 // [r₂₆[1], r²₂₆[1], r₂₆[1], r²₂₆[1]] VERIMG $0, M_2, T_0, R_2 // [r₂₆[2], r²₂₆[2], r₂₆[2], r²₂₆[2]] VERIMG $0, M_3, T_0, R_3 // [r₂₆[3], r²₂₆[3], r₂₆[3], r²₂₆[3]] VERIMG $0, M_4, T_0, R_4 // [r₂₆[4], r²₂₆[4], r₂₆[4], r²₂₆[4]] // calculate 5r² (ignore least significant limb) VREPIF $5, T_0 VMLF T_0, R_1, R5_1 // [5r₂₆[1], 5r²₂₆[1], 5r₂₆[1], 5r²₂₆[1]] VMLF T_0, R_2, R5_2 // [5r₂₆[2], 5r²₂₆[2], 5r₂₆[2], 5r²₂₆[2]] VMLF T_0, R_3, R5_3 // [5r₂₆[3], 5r²₂₆[3], 5r₂₆[3], 5r²₂₆[3]] VMLF T_0, R_4, R5_4 // [5r₂₆[4], 5r²₂₆[4], 5r₂₆[4], 5r²₂₆[4]] loop: CMPBLE R3, $32, b2 // 2 or fewer blocks remaining, need to change key coefficients // load next 2 blocks from message VLM (R2), T_0, T_1 // update message slice SUB $32, R3 MOVD $32(R2), R2 // unpack message blocks into 26-bit big-endian limbs EXPAND(T_0, T_1, M_0, M_1, M_2, M_3, M_4) // add 2¹²⁸ to each message block value VLEIB $4, $1, M_4 VLEIB $12, $1, M_4 multiply: // accumulate the incoming message VAG H_0, M_0, M_0 VAG H_3, M_3, M_3 VAG H_1, M_1, M_1 VAG H_4, M_4, M_4 VAG H_2, M_2, M_2 // multiply the accumulator by the key coefficient MULTIPLY(M_0, M_1, M_2, M_3, M_4, R_0, R_1, R_2, R_3, R_4, R5_1, R5_2, R5_3, R5_4, H_0, H_1, H_2, H_3, H_4) // carry and partially reduce the partial products REDUCE(H_0, H_1, H_2, H_3, H_4) CMPBNE R3, $0, loop finish: // sum lane 0 and lane 1 and put the result in lane 1 VZERO T_0 VSUMQG H_0, T_0, H_0 VSUMQG H_3, T_0, H_3 VSUMQG H_1, T_0, H_1 VSUMQG H_4, T_0, H_4 VSUMQG H_2, T_0, H_2 // reduce again after summation // TODO(mundaym): there might be a more efficient way to do this // now that we only have 1 active lane. For example, we could // simultaneously pack the values as we reduce them. REDUCE(H_0, H_1, H_2, H_3, H_4) // carry h[1] through to h[4] so that only h[4] can exceed 2²⁶ - 1 // TODO(mundaym): in testing this final carry was unnecessary. // Needs a proof before it can be removed though. VESRLG $26, H_1, T_1 VN MOD26, H_1, H_1 VAQ T_1, H_2, H_2 VESRLG $26, H_2, T_2 VN MOD26, H_2, H_2 VAQ T_2, H_3, H_3 VESRLG $26, H_3, T_3 VN MOD26, H_3, H_3 VAQ T_3, H_4, H_4 // h is now < 2(2¹³⁰ - 5) // Pack each lane in h₂₆[0:4] into h₁₂₈[0:1]. VESLG $26, H_1, H_1 VESLG $26, H_3, H_3 VO H_0, H_1, H_0 VO H_2, H_3, H_2 VESLG $4, H_2, H_2 VLEIB $7, $48, H_1 VSLB H_1, H_2, H_2 VO H_0, H_2, H_0 VLEIB $7, $104, H_1 VSLB H_1, H_4, H_3 VO H_3, H_0, H_0 VLEIB $7, $24, H_1 VSRLB H_1, H_4, H_1 // update state VSTEG $1, H_0, 0(R1) VSTEG $0, H_0, 8(R1) VSTEG $1, H_1, 16(R1) RET b2: // 2 or fewer blocks remaining CMPBLE R3, $16, b1 // Load the 2 remaining blocks (17-32 bytes remaining). MOVD $-17(R3), R0 // index of final byte to load modulo 16 VL (R2), T_0 // load full 16 byte block VLL R0, 16(R2), T_1 // load final (possibly partial) block and pad with zeros to 16 bytes // The Poly1305 algorithm requires that a 1 bit be appended to // each message block. If the final block is less than 16 bytes // long then it is easiest to insert the 1 before the message // block is split into 26-bit limbs. If, on the other hand, the // final message block is 16 bytes long then we append the 1 bit // after expansion as normal. MOVBZ $1, R0 MOVD $-16(R3), R3 // index of byte in last block to insert 1 at (could be 16) CMPBEQ R3, $16, 2(PC) // skip the insertion if the final block is 16 bytes long VLVGB R3, R0, T_1 // insert 1 into the byte at index R3 // Split both blocks into 26-bit limbs in the appropriate lanes. EXPAND(T_0, T_1, M_0, M_1, M_2, M_3, M_4) // Append a 1 byte to the end of the second to last block. VLEIB $4, $1, M_4 // Append a 1 byte to the end of the last block only if it is a // full 16 byte block. CMPBNE R3, $16, 2(PC) VLEIB $12, $1, M_4 // Finally, set up the coefficients for the final multiplication. // We have previously saved r and 5r in the 32-bit even indexes // of the R_[0-4] and R5_[1-4] coefficient registers. // // We want lane 0 to be multiplied by r² so that can be kept the // same. We want lane 1 to be multiplied by r so we need to move // the saved r value into the 32-bit odd index in lane 1 by // rotating the 64-bit lane by 32. VGBM $0x00ff, T_0 // [0, 0xffffffffffffffff] - mask lane 1 only VERIMG $32, R_0, T_0, R_0 // [_, r²₂₆[0], _, r₂₆[0]] VERIMG $32, R_1, T_0, R_1 // [_, r²₂₆[1], _, r₂₆[1]] VERIMG $32, R_2, T_0, R_2 // [_, r²₂₆[2], _, r₂₆[2]] VERIMG $32, R_3, T_0, R_3 // [_, r²₂₆[3], _, r₂₆[3]] VERIMG $32, R_4, T_0, R_4 // [_, r²₂₆[4], _, r₂₆[4]] VERIMG $32, R5_1, T_0, R5_1 // [_, 5r²₂₆[1], _, 5r₂₆[1]] VERIMG $32, R5_2, T_0, R5_2 // [_, 5r²₂₆[2], _, 5r₂₆[2]] VERIMG $32, R5_3, T_0, R5_3 // [_, 5r²₂₆[3], _, 5r₂₆[3]] VERIMG $32, R5_4, T_0, R5_4 // [_, 5r²₂₆[4], _, 5r₂₆[4]] MOVD $0, R3 BR multiply skip: CMPBEQ R3, $0, finish b1: // 1 block remaining // Load the final block (1-16 bytes). This will be placed into // lane 0. MOVD $-1(R3), R0 VLL R0, (R2), T_0 // pad to 16 bytes with zeros // The Poly1305 algorithm requires that a 1 bit be appended to // each message block. If the final block is less than 16 bytes // long then it is easiest to insert the 1 before the message // block is split into 26-bit limbs. If, on the other hand, the // final message block is 16 bytes long then we append the 1 bit // after expansion as normal. MOVBZ $1, R0 CMPBEQ R3, $16, 2(PC) VLVGB R3, R0, T_0 // Set the message block in lane 1 to the value 0 so that it // can be accumulated without affecting the final result. VZERO T_1 // Split the final message block into 26-bit limbs in lane 0. // Lane 1 will be contain 0. EXPAND(T_0, T_1, M_0, M_1, M_2, M_3, M_4) // Append a 1 byte to the end of the last block only if it is a // full 16 byte block. CMPBNE R3, $16, 2(PC) VLEIB $4, $1, M_4 // We have previously saved r and 5r in the 32-bit even indexes // of the R_[0-4] and R5_[1-4] coefficient registers. // // We want lane 0 to be multiplied by r so we need to move the // saved r value into the 32-bit odd index in lane 0. We want // lane 1 to be set to the value 1. This makes multiplication // a no-op. We do this by setting lane 1 in every register to 0 // and then just setting the 32-bit index 3 in R_0 to 1. VZERO T_0 MOVD $0, R0 MOVD $0x10111213, R12 VLVGP R12, R0, T_1 // [_, 0x10111213, _, 0x00000000] VPERM T_0, R_0, T_1, R_0 // [_, r₂₆[0], _, 0] VPERM T_0, R_1, T_1, R_1 // [_, r₂₆[1], _, 0] VPERM T_0, R_2, T_1, R_2 // [_, r₂₆[2], _, 0] VPERM T_0, R_3, T_1, R_3 // [_, r₂₆[3], _, 0] VPERM T_0, R_4, T_1, R_4 // [_, r₂₆[4], _, 0] VPERM T_0, R5_1, T_1, R5_1 // [_, 5r₂₆[1], _, 0] VPERM T_0, R5_2, T_1, R5_2 // [_, 5r₂₆[2], _, 0] VPERM T_0, R5_3, T_1, R5_3 // [_, 5r₂₆[3], _, 0] VPERM T_0, R5_4, T_1, R5_4 // [_, 5r₂₆[4], _, 0] // Set the value of lane 1 to be 1. VLEIF $3, $1, R_0 // [_, r₂₆[0], _, 1] MOVD $0, R3 BR multiply	17.45 KB	2025-05-25 12:27
📄 vectors_test.go // Copyright 2018 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 poly1305 var testData = [...]test{ // edge cases { // see https://go-review.googlesource.com/#/c/30101/ key: "3b3a29e93b213a5c5c3b3b053a3a8c0d00000000000000000000000000000000", tag: "6dc18b8c344cd79927118bbe84b7f314", in: "81d8b2e46a25213b58fee4213a2a28e921c12a9632516d3b73272727becf2129", }, { key: "0100000000000000000000000000000000000000000000000000000000000000", tag: "04000000000000000000000000000000", // (2¹³⁰-1) % (2¹³⁰-5) in: "ffffffffffffffffffffffffffffffff" + "00000000000000000000000000000000" + "00000000000000000000000000000000", }, { key: "0100000000000000000000000000000000000000000000000000000000000000", tag: "faffffffffffffffffffffffffffffff", // (2¹³⁰-6) % (2¹³⁰-5) in: "faffffffffffffffffffffffffffffff" + "00000000000000000000000000000000" + "00000000000000000000000000000000", }, { key: "0100000000000000000000000000000000000000000000000000000000000000", tag: "00000000000000000000000000000000", // (2¹³⁰-5) % (2¹³⁰-5) in: "fbffffffffffffffffffffffffffffff" + "00000000000000000000000000000000" + "00000000000000000000000000000000", }, { key: "0100000000000000000000000000000000000000000000000000000000000000", tag: "f9ffffffffffffffffffffffffffffff", // (2(2¹³⁰-6)) % (2¹³⁰-5) in: "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000", }, { key: "0100000000000000000000000000000000000000000000000000000000000000", tag: "00000000000000000000000000000000", // (2(2¹³⁰-5)) % (2¹³⁰-5) in: "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000", }, { key: "0100000000000000000000000000000000000000000000000000000000000000", tag: "f8ffffffffffffffffffffffffffffff", // (3(2¹³⁰-6)) % (2¹³⁰-5) in: "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000", }, { key: "0100000000000000000000000000000000000000000000000000000000000000", tag: "00000000000000000000000000000000", // (3(2¹³⁰-5)) % (2¹³⁰-5) in: "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000", }, { key: "0100000000000000000000000000000000000000000000000000000000000000", tag: "f7ffffffffffffffffffffffffffffff", // (4(2¹³⁰-6)) % (2¹³⁰-5) in: "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000", }, { key: "0100000000000000000000000000000000000000000000000000000000000000", tag: "00000000000000000000000000000000", // (4(2¹³⁰-5)) % (2¹³⁰-5) in: "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000", }, { key: "0100000000000000000000000000000000000000000000000000000000000000", tag: "f3ffffffffffffffffffffffffffffff", // (8(2¹³⁰-6)) % (2¹³⁰-5) in: "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000", }, { key: "0100000000000000000000000000000000000000000000000000000000000000", tag: "00000000000000000000000000000000", // (8(2¹³⁰-5)) % (2¹³⁰-5) in: "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000", }, { key: "0100000000000000000000000000000000000000000000000000000000000000", tag: "ebffffffffffffffffffffffffffffff", // (16(2¹³⁰-6)) % (2¹³⁰-5) in: "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "faffffffffffffffffffffffffffffff" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + "00000000000000000000000000000000", }, { key: "0100000000000000000000000000000000000000000000000000000000000000", tag: "00000000000000000000000000000000", // (16(2¹³⁰-5)) % (2¹³⁰-5) in: "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "fbffffffffffffffffffffffffffffff" + "00000000000000000000000000000000" + "00000000000000000000000000000000" + 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"7d6656d683a8512707d81ca5ba176a42bcffcfa692129f292607d2a47536" + "ccaeb464c9272d6f3816074b712af602470088b253deba18771e5f67734b" + "587707cdd06f35264b2262fd253c25b5d38ee7db287610e5398062b7a34e" + "6e4cf7447d00873b930ad148fd96f0ab18771bc468b874bb109924101c84" + "c4e239ecc7687d875e4d94a1a973620ca61e35a872c2e2e61a502169f1bb" + "4e5ff5fa2bff657be6195b3e2c7151a52fc0096d98e7f08f5a98f570aee1" + "7b4275f1356e87e080ce0e1b9bbabe7dea48b5903bc390ce23472ad64a89" + "41c3247bfd23ea90b2dee09085571bad85568040105e098f993bb37e43c3" + "e6d511171c77cfc450570dfb9fc6a3930ef43c03f8213f6203d545d791c7" + "d3fa42d5dde1655038d35c5dfacc12e9dee24fe833977549eda68ae8b508" + "be277e743921b584f9dfa0eefbd8bf3c23f51efdef7f7487001d29e8097b" + "ba63289cfca743023d1668555a46fe6d5b7421377414df1e9ef135480622" + "22e2e9a7baa618d88f407517f6317b6a0ba3384ace16d68631d59ea169d5" + "092d20afc1a481b82be5e734bb092953a0a94702bae1a0f48d2a22b9a05f" + "f64493b7b2e984f27582b1eb937fddf8512c49830435d146dcc291a4118d" + "5dc638b99cdcbcc5860de7a92c5b13cbd1e01e051f01af40afe124346320" + "d3626bf9d8f7850744e032a993c276fd388718237740c6caf260fca60b8d" + "d846102e3262b6e05ceca00c6affe938fac1847350865fc858d3ddd1d130" + "71d1221ce7c5d575587fcba580e544b74d877ed5ca92763ef0ca0d7bfa08" + "d57a0216b2a01a2b9ec74b8430051e0074862b7be25b6766ab520f2eb75d" + "eeb979c28f03795f6f1e4b8410beab19a20febc91985b8a7c298534a6598" + "f2c5b0dc5de9f5e55a97791507bc6373db26", }, // Override initial state to ensure large h (subject to h < 2(2¹³⁰ - 5)) is // deserialized from the state correctly. { key: "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", state: "0000000000000007fffffffffffffffffffffffffffffff5", // 2(2¹³⁰ - 5) - 1 in: "", tag: "f9ffffffffffffffffffffffffffffff", }, { key: "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", state: "000000000000000700000000000000000000000000000000", // 2¹³⁰ in: "", tag: "04000000000000000000000000000000", }, { key: "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", state: "0000000000000007fffffffffffffffffffffffffffffff5", // 2(2¹³⁰ - 5) - 1 in: "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff", tag: "1b000e5e5dfe8f5c4da11dd17b7654e7", }, { key: "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", state: "000000000000000700000000000000000000000000000001", // 2¹³⁰ in: "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff", tag: "380859a4a5860b0e0967edfd711d37de", }, }	180.46 KB	2025-05-25 12:27

Terminal