diff options
Diffstat (limited to 'libgo/go/crypto/aes')
| -rw-r--r-- | libgo/go/crypto/aes/aes_test.go | 350 | ||||
| -rw-r--r-- | libgo/go/crypto/aes/block.go | 176 | ||||
| -rw-r--r-- | libgo/go/crypto/aes/cipher.go | 71 | ||||
| -rw-r--r-- | libgo/go/crypto/aes/const.go | 362 |
4 files changed, 959 insertions, 0 deletions
diff --git a/libgo/go/crypto/aes/aes_test.go b/libgo/go/crypto/aes/aes_test.go new file mode 100644 index 000000000..2136d447d --- /dev/null +++ b/libgo/go/crypto/aes/aes_test.go @@ -0,0 +1,350 @@ +// 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 aes + +import ( + "testing" +) + +// See const.go for overview of math here. + +// Test that powx is initialized correctly. +// (Can adapt this code to generate it too.) +func TestPowx(t *testing.T) { + p := 1 + for i := 0; i < len(powx); i++ { + if powx[i] != byte(p) { + t.Errorf("powx[%d] = %#x, want %#x", i, powx[i], p) + } + p <<= 1 + if p&0x100 != 0 { + p ^= poly + } + } +} + +// Multiply b and c as GF(2) polynomials modulo poly +func mul(b, c uint32) uint32 { + i := b + j := c + s := uint32(0) + for k := uint32(1); k < 0x100 && j != 0; k <<= 1 { + // Invariant: k == 1<<n, i == b * xⁿ + + if j&k != 0 { + // s += i in GF(2); xor in binary + s ^= i + j ^= k // turn off bit to end loop early + } + + // i *= x in GF(2) modulo the polynomial + i <<= 1 + if i&0x100 != 0 { + i ^= poly + } + } + return s +} + +// Test all mul inputs against bit-by-bit n² algorithm. +func TestMul(t *testing.T) { + for i := uint32(0); i < 256; i++ { + for j := uint32(0); j < 256; j++ { + // Multiply i, j bit by bit. + s := uint8(0) + for k := uint(0); k < 8; k++ { + for l := uint(0); l < 8; l++ { + if i&(1<<k) != 0 && j&(1<<l) != 0 { + s ^= powx[k+l] + } + } + } + if x := mul(i, j); x != uint32(s) { + t.Fatalf("mul(%#x, %#x) = %#x, want %#x", i, j, x, s) + } + } + } +} + +// Check that S-boxes are inverses of each other. +// They have more structure that we could test, +// but if this sanity check passes, we'll assume +// the cut and paste from the FIPS PDF worked. +func TestSboxes(t *testing.T) { + for i := 0; i < 256; i++ { + if j := sbox0[sbox1[i]]; j != byte(i) { + t.Errorf("sbox0[sbox1[%#x]] = %#x", i, j) + } + if j := sbox1[sbox0[i]]; j != byte(i) { + t.Errorf("sbox1[sbox0[%#x]] = %#x", i, j) + } + } +} + +// Test that encryption tables are correct. +// (Can adapt this code to generate them too.) +func TestTe(t *testing.T) { + for i := 0; i < 256; i++ { + s := uint32(sbox0[i]) + s2 := mul(s, 2) + s3 := mul(s, 3) + w := s2<<24 | s<<16 | s<<8 | s3 + for j := 0; j < 4; j++ { + if x := te[j][i]; x != w { + t.Fatalf("te[%d][%d] = %#x, want %#x", j, i, x, w) + } + w = w<<24 | w>>8 + } + } +} + +// Test that decryption tables are correct. +// (Can adapt this code to generate them too.) +func TestTd(t *testing.T) { + for i := 0; i < 256; i++ { + s := uint32(sbox1[i]) + s9 := mul(s, 0x9) + sb := mul(s, 0xb) + sd := mul(s, 0xd) + se := mul(s, 0xe) + w := se<<24 | s9<<16 | sd<<8 | sb + for j := 0; j < 4; j++ { + if x := td[j][i]; x != w { + t.Fatalf("td[%d][%d] = %#x, want %#x", j, i, x, w) + } + w = w<<24 | w>>8 + } + } +} + +// Test vectors are from FIPS 197: +// http://www.csrc.nist.gov/publications/fips/fips197/fips-197.pdf + +// Appendix A of FIPS 197: Key expansion examples +type KeyTest struct { + key []byte + enc []uint32 + dec []uint32 // decryption expansion; not in FIPS 197, computed from C implementation. +} + +var keyTests = []KeyTest{ + { + // A.1. Expansion of a 128-bit Cipher Key + []byte{0x2b, 0x7e, 0x15, 0x16, 0x28, 0xae, 0xd2, 0xa6, 0xab, 0xf7, 0x15, 0x88, 0x09, 0xcf, 0x4f, 0x3c}, + []uint32{ + 0x2b7e1516, 0x28aed2a6, 0xabf71588, 0x09cf4f3c, + 0xa0fafe17, 0x88542cb1, 0x23a33939, 0x2a6c7605, + 0xf2c295f2, 0x7a96b943, 0x5935807a, 0x7359f67f, + 0x3d80477d, 0x4716fe3e, 0x1e237e44, 0x6d7a883b, + 0xef44a541, 0xa8525b7f, 0xb671253b, 0xdb0bad00, + 0xd4d1c6f8, 0x7c839d87, 0xcaf2b8bc, 0x11f915bc, + 0x6d88a37a, 0x110b3efd, 0xdbf98641, 0xca0093fd, + 0x4e54f70e, 0x5f5fc9f3, 0x84a64fb2, 0x4ea6dc4f, + 0xead27321, 0xb58dbad2, 0x312bf560, 0x7f8d292f, + 0xac7766f3, 0x19fadc21, 0x28d12941, 0x575c006e, + 0xd014f9a8, 0xc9ee2589, 0xe13f0cc8, 0xb6630ca6, + }, + []uint32{ + 0xd014f9a8, 0xc9ee2589, 0xe13f0cc8, 0xb6630ca6, + 0xc7b5a63, 0x1319eafe, 0xb0398890, 0x664cfbb4, + 0xdf7d925a, 0x1f62b09d, 0xa320626e, 0xd6757324, + 0x12c07647, 0xc01f22c7, 0xbc42d2f3, 0x7555114a, + 0x6efcd876, 0xd2df5480, 0x7c5df034, 0xc917c3b9, + 0x6ea30afc, 0xbc238cf6, 0xae82a4b4, 0xb54a338d, + 0x90884413, 0xd280860a, 0x12a12842, 0x1bc89739, + 0x7c1f13f7, 0x4208c219, 0xc021ae48, 0x969bf7b, + 0xcc7505eb, 0x3e17d1ee, 0x82296c51, 0xc9481133, + 0x2b3708a7, 0xf262d405, 0xbc3ebdbf, 0x4b617d62, + 0x2b7e1516, 0x28aed2a6, 0xabf71588, 0x9cf4f3c, + }, + }, + { + // A.2. Expansion of a 192-bit Cipher Key + []byte{ + 0x8e, 0x73, 0xb0, 0xf7, 0xda, 0x0e, 0x64, 0x52, 0xc8, 0x10, 0xf3, 0x2b, 0x80, 0x90, 0x79, 0xe5, + 0x62, 0xf8, 0xea, 0xd2, 0x52, 0x2c, 0x6b, 0x7b, + }, + []uint32{ + 0x8e73b0f7, 0xda0e6452, 0xc810f32b, 0x809079e5, + 0x62f8ead2, 0x522c6b7b, 0xfe0c91f7, 0x2402f5a5, + 0xec12068e, 0x6c827f6b, 0x0e7a95b9, 0x5c56fec2, + 0x4db7b4bd, 0x69b54118, 0x85a74796, 0xe92538fd, + 0xe75fad44, 0xbb095386, 0x485af057, 0x21efb14f, + 0xa448f6d9, 0x4d6dce24, 0xaa326360, 0x113b30e6, + 0xa25e7ed5, 0x83b1cf9a, 0x27f93943, 0x6a94f767, + 0xc0a69407, 0xd19da4e1, 0xec1786eb, 0x6fa64971, + 0x485f7032, 0x22cb8755, 0xe26d1352, 0x33f0b7b3, + 0x40beeb28, 0x2f18a259, 0x6747d26b, 0x458c553e, + 0xa7e1466c, 0x9411f1df, 0x821f750a, 0xad07d753, + 0xca400538, 0x8fcc5006, 0x282d166a, 0xbc3ce7b5, + 0xe98ba06f, 0x448c773c, 0x8ecc7204, 0x01002202, + }, + nil, + }, + { + // A.3. Expansion of a 256-bit Cipher Key + []byte{ + 0x60, 0x3d, 0xeb, 0x10, 0x15, 0xca, 0x71, 0xbe, 0x2b, 0x73, 0xae, 0xf0, 0x85, 0x7d, 0x77, 0x81, + 0x1f, 0x35, 0x2c, 0x07, 0x3b, 0x61, 0x08, 0xd7, 0x2d, 0x98, 0x10, 0xa3, 0x09, 0x14, 0xdf, 0xf4, + }, + []uint32{ + 0x603deb10, 0x15ca71be, 0x2b73aef0, 0x857d7781, + 0x1f352c07, 0x3b6108d7, 0x2d9810a3, 0x0914dff4, + 0x9ba35411, 0x8e6925af, 0xa51a8b5f, 0x2067fcde, + 0xa8b09c1a, 0x93d194cd, 0xbe49846e, 0xb75d5b9a, + 0xd59aecb8, 0x5bf3c917, 0xfee94248, 0xde8ebe96, + 0xb5a9328a, 0x2678a647, 0x98312229, 0x2f6c79b3, + 0x812c81ad, 0xdadf48ba, 0x24360af2, 0xfab8b464, + 0x98c5bfc9, 0xbebd198e, 0x268c3ba7, 0x09e04214, + 0x68007bac, 0xb2df3316, 0x96e939e4, 0x6c518d80, + 0xc814e204, 0x76a9fb8a, 0x5025c02d, 0x59c58239, + 0xde136967, 0x6ccc5a71, 0xfa256395, 0x9674ee15, + 0x5886ca5d, 0x2e2f31d7, 0x7e0af1fa, 0x27cf73c3, + 0x749c47ab, 0x18501dda, 0xe2757e4f, 0x7401905a, + 0xcafaaae3, 0xe4d59b34, 0x9adf6ace, 0xbd10190d, + 0xfe4890d1, 0xe6188d0b, 0x046df344, 0x706c631e, + }, + nil, + }, +} + +// Test key expansion against FIPS 197 examples. +func TestExpandKey(t *testing.T) { +L: + for i, tt := range keyTests { + enc := make([]uint32, len(tt.enc)) + var dec []uint32 + if tt.dec != nil { + dec = make([]uint32, len(tt.dec)) + } + expandKey(tt.key, enc, dec) + for j, v := range enc { + if v != tt.enc[j] { + t.Errorf("key %d: enc[%d] = %#x, want %#x", i, j, v, tt.enc[j]) + continue L + } + } + if dec != nil { + for j, v := range dec { + if v != tt.dec[j] { + t.Errorf("key %d: dec[%d] = %#x, want %#x", i, j, v, tt.dec[j]) + continue L + } + } + } + } +} + +// Appendix B, C of FIPS 197: Cipher examples, Example vectors. +type CryptTest struct { + key []byte + in []byte + out []byte +} + +var encryptTests = []CryptTest{ + { + // Appendix B. + []byte{0x2b, 0x7e, 0x15, 0x16, 0x28, 0xae, 0xd2, 0xa6, 0xab, 0xf7, 0x15, 0x88, 0x09, 0xcf, 0x4f, 0x3c}, + []byte{0x32, 0x43, 0xf6, 0xa8, 0x88, 0x5a, 0x30, 0x8d, 0x31, 0x31, 0x98, 0xa2, 0xe0, 0x37, 0x07, 0x34}, + []byte{0x39, 0x25, 0x84, 0x1d, 0x02, 0xdc, 0x09, 0xfb, 0xdc, 0x11, 0x85, 0x97, 0x19, 0x6a, 0x0b, 0x32}, + }, + { + // Appendix C.1. AES-128 + []byte{0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f}, + []byte{0x00, 0x11, 0x22, 0x33, 0x44, 0x55, 0x66, 0x77, 0x88, 0x99, 0xaa, 0xbb, 0xcc, 0xdd, 0xee, 0xff}, + []byte{0x69, 0xc4, 0xe0, 0xd8, 0x6a, 0x7b, 0x04, 0x30, 0xd8, 0xcd, 0xb7, 0x80, 0x70, 0xb4, 0xc5, 0x5a}, + }, + { + // Appendix C.2. AES-192 + []byte{0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, + 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, + }, + []byte{0x00, 0x11, 0x22, 0x33, 0x44, 0x55, 0x66, 0x77, 0x88, 0x99, 0xaa, 0xbb, 0xcc, 0xdd, 0xee, 0xff}, + []byte{0xdd, 0xa9, 0x7c, 0xa4, 0x86, 0x4c, 0xdf, 0xe0, 0x6e, 0xaf, 0x70, 0xa0, 0xec, 0x0d, 0x71, 0x91}, + }, + { + // Appendix C.3. AES-256 + []byte{0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, + 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f, + }, + []byte{0x00, 0x11, 0x22, 0x33, 0x44, 0x55, 0x66, 0x77, 0x88, 0x99, 0xaa, 0xbb, 0xcc, 0xdd, 0xee, 0xff}, + []byte{0x8e, 0xa2, 0xb7, 0xca, 0x51, 0x67, 0x45, 0xbf, 0xea, 0xfc, 0x49, 0x90, 0x4b, 0x49, 0x60, 0x89}, + }, +} + +// Test encryptBlock against FIPS 197 examples. +func TestEncryptBlock(t *testing.T) { + for i, tt := range encryptTests { + n := len(tt.key) + 28 + enc := make([]uint32, n) + dec := make([]uint32, n) + expandKey(tt.key, enc, dec) + out := make([]byte, len(tt.in)) + encryptBlock(enc, out, tt.in) + for j, v := range out { + if v != tt.out[j] { + t.Errorf("encryptBlock %d: out[%d] = %#x, want %#x", i, j, v, tt.out[j]) + break + } + } + } +} + +// Test decryptBlock against FIPS 197 examples. +func TestDecryptBlock(t *testing.T) { + for i, tt := range encryptTests { + n := len(tt.key) + 28 + enc := make([]uint32, n) + dec := make([]uint32, n) + expandKey(tt.key, enc, dec) + plain := make([]byte, len(tt.in)) + decryptBlock(dec, plain, tt.out) + for j, v := range plain { + if v != tt.in[j] { + t.Errorf("decryptBlock %d: plain[%d] = %#x, want %#x", i, j, v, tt.in[j]) + break + } + } + } +} + +// Test Cipher Encrypt method against FIPS 197 examples. +func TestCipherEncrypt(t *testing.T) { + for i, tt := range encryptTests { + c, err := NewCipher(tt.key) + if err != nil { + t.Errorf("NewCipher(%d bytes) = %s", len(tt.key), err) + continue + } + out := make([]byte, len(tt.in)) + c.Encrypt(out, tt.in) + for j, v := range out { + if v != tt.out[j] { + t.Errorf("Cipher.Encrypt %d: out[%d] = %#x, want %#x", i, j, v, tt.out[j]) + break + } + } + } +} + +// Test Cipher Decrypt against FIPS 197 examples. +func TestCipherDecrypt(t *testing.T) { + for i, tt := range encryptTests { + c, err := NewCipher(tt.key) + if err != nil { + t.Errorf("NewCipher(%d bytes) = %s", len(tt.key), err) + continue + } + plain := make([]byte, len(tt.in)) + c.Decrypt(plain, tt.out) + for j, v := range plain { + if v != tt.in[j] { + t.Errorf("decryptBlock %d: plain[%d] = %#x, want %#x", i, j, v, tt.in[j]) + break + } + } + } +} diff --git a/libgo/go/crypto/aes/block.go b/libgo/go/crypto/aes/block.go new file mode 100644 index 000000000..130cd011c --- /dev/null +++ b/libgo/go/crypto/aes/block.go @@ -0,0 +1,176 @@ +// 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. + +// This Go implementation is derived in part from the reference +// ANSI C implementation, which carries the following notice: +// +// rijndael-alg-fst.c +// +// @version 3.0 (December 2000) +// +// Optimised ANSI C code for the Rijndael cipher (now AES) +// +// @author Vincent Rijmen <vincent.rijmen@esat.kuleuven.ac.be> +// @author Antoon Bosselaers <antoon.bosselaers@esat.kuleuven.ac.be> +// @author Paulo Barreto <paulo.barreto@terra.com.br> +// +// This code is hereby placed in the public domain. +// +// THIS SOFTWARE IS PROVIDED BY THE AUTHORS ''AS IS'' AND ANY EXPRESS +// OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED +// WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +// ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHORS OR CONTRIBUTORS BE +// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +// SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR +// BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, +// WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE +// OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, +// EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +// +// See FIPS 197 for specification, and see Daemen and Rijmen's Rijndael submission +// for implementation details. +// http://www.csrc.nist.gov/publications/fips/fips197/fips-197.pdf +// http://csrc.nist.gov/archive/aes/rijndael/Rijndael-ammended.pdf + +package aes + +// Encrypt one block from src into dst, using the expanded key xk. +func encryptBlock(xk []uint32, dst, src []byte) { + var s0, s1, s2, s3, t0, t1, t2, t3 uint32 + + s0 = uint32(src[0])<<24 | uint32(src[1])<<16 | uint32(src[2])<<8 | uint32(src[3]) + s1 = uint32(src[4])<<24 | uint32(src[5])<<16 | uint32(src[6])<<8 | uint32(src[7]) + s2 = uint32(src[8])<<24 | uint32(src[9])<<16 | uint32(src[10])<<8 | uint32(src[11]) + s3 = uint32(src[12])<<24 | uint32(src[13])<<16 | uint32(src[14])<<8 | uint32(src[15]) + + // First round just XORs input with key. + s0 ^= xk[0] + s1 ^= xk[1] + s2 ^= xk[2] + s3 ^= xk[3] + + // Middle rounds shuffle using tables. + // Number of rounds is set by length of expanded key. + nr := len(xk)/4 - 2 // - 2: one above, one more below + k := 4 + for r := 0; r < nr; r++ { + t0 = xk[k+0] ^ te[0][s0>>24] ^ te[1][s1>>16&0xff] ^ te[2][s2>>8&0xff] ^ te[3][s3&0xff] + t1 = xk[k+1] ^ te[0][s1>>24] ^ te[1][s2>>16&0xff] ^ te[2][s3>>8&0xff] ^ te[3][s0&0xff] + t2 = xk[k+2] ^ te[0][s2>>24] ^ te[1][s3>>16&0xff] ^ te[2][s0>>8&0xff] ^ te[3][s1&0xff] + t3 = xk[k+3] ^ te[0][s3>>24] ^ te[1][s0>>16&0xff] ^ te[2][s1>>8&0xff] ^ te[3][s2&0xff] + k += 4 + s0, s1, s2, s3 = t0, t1, t2, t3 + } + + // Last round uses s-box directly and XORs to produce output. + s0 = uint32(sbox0[t0>>24])<<24 | uint32(sbox0[t1>>16&0xff])<<16 | uint32(sbox0[t2>>8&0xff])<<8 | uint32(sbox0[t3&0xff]) + s1 = uint32(sbox0[t1>>24])<<24 | uint32(sbox0[t2>>16&0xff])<<16 | uint32(sbox0[t3>>8&0xff])<<8 | uint32(sbox0[t0&0xff]) + s2 = uint32(sbox0[t2>>24])<<24 | uint32(sbox0[t3>>16&0xff])<<16 | uint32(sbox0[t0>>8&0xff])<<8 | uint32(sbox0[t1&0xff]) + s3 = uint32(sbox0[t3>>24])<<24 | uint32(sbox0[t0>>16&0xff])<<16 | uint32(sbox0[t1>>8&0xff])<<8 | uint32(sbox0[t2&0xff]) + + s0 ^= xk[k+0] + s1 ^= xk[k+1] + s2 ^= xk[k+2] + s3 ^= xk[k+3] + + dst[0], dst[1], dst[2], dst[3] = byte(s0>>24), byte(s0>>16), byte(s0>>8), byte(s0) + dst[4], dst[5], dst[6], dst[7] = byte(s1>>24), byte(s1>>16), byte(s1>>8), byte(s1) + dst[8], dst[9], dst[10], dst[11] = byte(s2>>24), byte(s2>>16), byte(s2>>8), byte(s2) + dst[12], dst[13], dst[14], dst[15] = byte(s3>>24), byte(s3>>16), byte(s3>>8), byte(s3) +} + +// Decrypt one block from src into dst, using the expanded key xk. +func decryptBlock(xk []uint32, dst, src []byte) { + var s0, s1, s2, s3, t0, t1, t2, t3 uint32 + + s0 = uint32(src[0])<<24 | uint32(src[1])<<16 | uint32(src[2])<<8 | uint32(src[3]) + s1 = uint32(src[4])<<24 | uint32(src[5])<<16 | uint32(src[6])<<8 | uint32(src[7]) + s2 = uint32(src[8])<<24 | uint32(src[9])<<16 | uint32(src[10])<<8 | uint32(src[11]) + s3 = uint32(src[12])<<24 | uint32(src[13])<<16 | uint32(src[14])<<8 | uint32(src[15]) + + // First round just XORs input with key. + s0 ^= xk[0] + s1 ^= xk[1] + s2 ^= xk[2] + s3 ^= xk[3] + + // Middle rounds shuffle using tables. + // Number of rounds is set by length of expanded key. + nr := len(xk)/4 - 2 // - 2: one above, one more below + k := 4 + for r := 0; r < nr; r++ { + t0 = xk[k+0] ^ td[0][s0>>24] ^ td[1][s3>>16&0xff] ^ td[2][s2>>8&0xff] ^ td[3][s1&0xff] + t1 = xk[k+1] ^ td[0][s1>>24] ^ td[1][s0>>16&0xff] ^ td[2][s3>>8&0xff] ^ td[3][s2&0xff] + t2 = xk[k+2] ^ td[0][s2>>24] ^ td[1][s1>>16&0xff] ^ td[2][s0>>8&0xff] ^ td[3][s3&0xff] + t3 = xk[k+3] ^ td[0][s3>>24] ^ td[1][s2>>16&0xff] ^ td[2][s1>>8&0xff] ^ td[3][s0&0xff] + k += 4 + s0, s1, s2, s3 = t0, t1, t2, t3 + } + + // Last round uses s-box directly and XORs to produce output. + s0 = uint32(sbox1[t0>>24])<<24 | uint32(sbox1[t3>>16&0xff])<<16 | uint32(sbox1[t2>>8&0xff])<<8 | uint32(sbox1[t1&0xff]) + s1 = uint32(sbox1[t1>>24])<<24 | uint32(sbox1[t0>>16&0xff])<<16 | uint32(sbox1[t3>>8&0xff])<<8 | uint32(sbox1[t2&0xff]) + s2 = uint32(sbox1[t2>>24])<<24 | uint32(sbox1[t1>>16&0xff])<<16 | uint32(sbox1[t0>>8&0xff])<<8 | uint32(sbox1[t3&0xff]) + s3 = uint32(sbox1[t3>>24])<<24 | uint32(sbox1[t2>>16&0xff])<<16 | uint32(sbox1[t1>>8&0xff])<<8 | uint32(sbox1[t0&0xff]) + + s0 ^= xk[k+0] + s1 ^= xk[k+1] + s2 ^= xk[k+2] + s3 ^= xk[k+3] + + dst[0], dst[1], dst[2], dst[3] = byte(s0>>24), byte(s0>>16), byte(s0>>8), byte(s0) + dst[4], dst[5], dst[6], dst[7] = byte(s1>>24), byte(s1>>16), byte(s1>>8), byte(s1) + dst[8], dst[9], dst[10], dst[11] = byte(s2>>24), byte(s2>>16), byte(s2>>8), byte(s2) + dst[12], dst[13], dst[14], dst[15] = byte(s3>>24), byte(s3>>16), byte(s3>>8), byte(s3) +} + +// Apply sbox0 to each byte in w. +func subw(w uint32) uint32 { + return uint32(sbox0[w>>24])<<24 | + uint32(sbox0[w>>16&0xff])<<16 | + uint32(sbox0[w>>8&0xff])<<8 | + uint32(sbox0[w&0xff]) +} + +// Rotate +func rotw(w uint32) uint32 { return w<<8 | w>>24 } + +// Key expansion algorithm. See FIPS-197, Figure 11. +// Their rcon[i] is our powx[i-1] << 24. +func expandKey(key []byte, enc, dec []uint32) { + // Encryption key setup. + var i int + nk := len(key) / 4 + for i = 0; i < nk; i++ { + enc[i] = uint32(key[4*i])<<24 | uint32(key[4*i+1])<<16 | uint32(key[4*i+2])<<8 | uint32(key[4*i+3]) + } + for ; i < len(enc); i++ { + t := enc[i-1] + if i%nk == 0 { + t = subw(rotw(t)) ^ (uint32(powx[i/nk-1]) << 24) + } else if nk > 6 && i%nk == 4 { + t = subw(t) + } + enc[i] = enc[i-nk] ^ t + } + + // Derive decryption key from encryption key. + // Reverse the 4-word round key sets from enc to produce dec. + // All sets but the first and last get the MixColumn transform applied. + if dec == nil { + return + } + n := len(enc) + for i := 0; i < n; i += 4 { + ei := n - i - 4 + for j := 0; j < 4; j++ { + x := enc[ei+j] + if i > 0 && i+4 < n { + x = td[0][sbox0[x>>24]] ^ td[1][sbox0[x>>16&0xff]] ^ td[2][sbox0[x>>8&0xff]] ^ td[3][sbox0[x&0xff]] + } + dec[i+j] = x + } + } +} diff --git a/libgo/go/crypto/aes/cipher.go b/libgo/go/crypto/aes/cipher.go new file mode 100644 index 000000000..3a9d02318 --- /dev/null +++ b/libgo/go/crypto/aes/cipher.go @@ -0,0 +1,71 @@ +// 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 aes + +import ( + "os" + "strconv" +) + +// The AES block size in bytes. +const BlockSize = 16 + +// A Cipher is an instance of AES encryption using a particular key. +type Cipher struct { + enc []uint32 + dec []uint32 +} + +type KeySizeError int + +func (k KeySizeError) String() string { + return "crypto/aes: invalid key size " + strconv.Itoa(int(k)) +} + +// NewCipher creates and returns a new Cipher. +// The key argument should be the AES key, +// either 16, 24, or 32 bytes to select +// AES-128, AES-192, or AES-256. +func NewCipher(key []byte) (*Cipher, os.Error) { + k := len(key) + switch k { + default: + return nil, KeySizeError(k) + case 16, 24, 32: + break + } + + n := k + 28 + c := &Cipher{make([]uint32, n), make([]uint32, n)} + expandKey(key, c.enc, c.dec) + return c, nil +} + +// BlockSize returns the AES block size, 16 bytes. +// It is necessary to satisfy the Cipher interface in the +// package "crypto/block". +func (c *Cipher) BlockSize() int { return BlockSize } + +// Encrypt encrypts the 16-byte buffer src using the key k +// and stores the result in dst. +// Note that for amounts of data larger than a block, +// it is not safe to just call Encrypt on successive blocks; +// instead, use an encryption mode like CBC (see crypto/block/cbc.go). +func (c *Cipher) Encrypt(dst, src []byte) { encryptBlock(c.enc, dst, src) } + +// Decrypt decrypts the 16-byte buffer src using the key k +// and stores the result in dst. +func (c *Cipher) Decrypt(dst, src []byte) { decryptBlock(c.dec, dst, src) } + +// Reset zeros the key data, so that it will no longer +// appear in the process's memory. +func (c *Cipher) Reset() { + for i := 0; i < len(c.enc); i++ { + c.enc[i] = 0 + } + for i := 0; i < len(c.dec); i++ { + c.dec[i] = 0 + } +} diff --git a/libgo/go/crypto/aes/const.go b/libgo/go/crypto/aes/const.go new file mode 100644 index 000000000..97a5b64ec --- /dev/null +++ b/libgo/go/crypto/aes/const.go @@ -0,0 +1,362 @@ +// 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. + +// AES constants - 8720 bytes of initialized data. + +// This package implements AES encryption (formerly Rijndael), +// as defined in U.S. Federal Information Processing Standards Publication 197. +package aes + +// http://www.csrc.nist.gov/publications/fips/fips197/fips-197.pdf + +// AES is based on the mathematical behavior of binary polynomials +// (polynomials over GF(2)) modulo the irreducible polynomial x⁸ + x⁴ + x² + x + 1. +// Addition of these binary polynomials corresponds to binary xor. +// Reducing mod poly corresponds to binary xor with poly every +// time a 0x100 bit appears. +const poly = 1<<8 | 1<<4 | 1<<3 | 1<<1 | 1<<0 // x⁸ + x⁴ + x² + x + 1 + +// Powers of x mod poly in GF(2). +var powx = [16]byte{ + 0x01, + 0x02, + 0x04, + 0x08, + 0x10, + 0x20, + 0x40, + 0x80, + 0x1b, + 0x36, + 0x6c, + 0xd8, + 0xab, + 0x4d, + 0x9a, + 0x2f, +} + +// FIPS-197 Figure 7. S-box substitution values in hexadecimal format. +var sbox0 = [256]byte{ + 0x63, 0x7c, 0x77, 0x7b, 0xf2, 0x6b, 0x6f, 0xc5, 0x30, 0x01, 0x67, 0x2b, 0xfe, 0xd7, 0xab, 0x76, + 0xca, 0x82, 0xc9, 0x7d, 0xfa, 0x59, 0x47, 0xf0, 0xad, 0xd4, 0xa2, 0xaf, 0x9c, 0xa4, 0x72, 0xc0, + 0xb7, 0xfd, 0x93, 0x26, 0x36, 0x3f, 0xf7, 0xcc, 0x34, 0xa5, 0xe5, 0xf1, 0x71, 0xd8, 0x31, 0x15, + 0x04, 0xc7, 0x23, 0xc3, 0x18, 0x96, 0x05, 0x9a, 0x07, 0x12, 0x80, 0xe2, 0xeb, 0x27, 0xb2, 0x75, + 0x09, 0x83, 0x2c, 0x1a, 0x1b, 0x6e, 0x5a, 0xa0, 0x52, 0x3b, 0xd6, 0xb3, 0x29, 0xe3, 0x2f, 0x84, + 0x53, 0xd1, 0x00, 0xed, 0x20, 0xfc, 0xb1, 0x5b, 0x6a, 0xcb, 0xbe, 0x39, 0x4a, 0x4c, 0x58, 0xcf, + 0xd0, 0xef, 0xaa, 0xfb, 0x43, 0x4d, 0x33, 0x85, 0x45, 0xf9, 0x02, 0x7f, 0x50, 0x3c, 0x9f, 0xa8, + 0x51, 0xa3, 0x40, 0x8f, 0x92, 0x9d, 0x38, 0xf5, 0xbc, 0xb6, 0xda, 0x21, 0x10, 0xff, 0xf3, 0xd2, + 0xcd, 0x0c, 0x13, 0xec, 0x5f, 0x97, 0x44, 0x17, 0xc4, 0xa7, 0x7e, 0x3d, 0x64, 0x5d, 0x19, 0x73, + 0x60, 0x81, 0x4f, 0xdc, 0x22, 0x2a, 0x90, 0x88, 0x46, 0xee, 0xb8, 0x14, 0xde, 0x5e, 0x0b, 0xdb, + 0xe0, 0x32, 0x3a, 0x0a, 0x49, 0x06, 0x24, 0x5c, 0xc2, 0xd3, 0xac, 0x62, 0x91, 0x95, 0xe4, 0x79, + 0xe7, 0xc8, 0x37, 0x6d, 0x8d, 0xd5, 0x4e, 0xa9, 0x6c, 0x56, 0xf4, 0xea, 0x65, 0x7a, 0xae, 0x08, + 0xba, 0x78, 0x25, 0x2e, 0x1c, 0xa6, 0xb4, 0xc6, 0xe8, 0xdd, 0x74, 0x1f, 0x4b, 0xbd, 0x8b, 0x8a, + 0x70, 0x3e, 0xb5, 0x66, 0x48, 0x03, 0xf6, 0x0e, 0x61, 0x35, 0x57, 0xb9, 0x86, 0xc1, 0x1d, 0x9e, + 0xe1, 0xf8, 0x98, 0x11, 0x69, 0xd9, 0x8e, 0x94, 0x9b, 0x1e, 0x87, 0xe9, 0xce, 0x55, 0x28, 0xdf, + 0x8c, 0xa1, 0x89, 0x0d, 0xbf, 0xe6, 0x42, 0x68, 0x41, 0x99, 0x2d, 0x0f, 0xb0, 0x54, 0xbb, 0x16, +} + +// FIPS-197 Figure 14. Inverse S-box substitution values in hexadecimal format. +var sbox1 = [256]byte{ + 0x52, 0x09, 0x6a, 0xd5, 0x30, 0x36, 0xa5, 0x38, 0xbf, 0x40, 0xa3, 0x9e, 0x81, 0xf3, 0xd7, 0xfb, + 0x7c, 0xe3, 0x39, 0x82, 0x9b, 0x2f, 0xff, 0x87, 0x34, 0x8e, 0x43, 0x44, 0xc4, 0xde, 0xe9, 0xcb, + 0x54, 0x7b, 0x94, 0x32, 0xa6, 0xc2, 0x23, 0x3d, 0xee, 0x4c, 0x95, 0x0b, 0x42, 0xfa, 0xc3, 0x4e, + 0x08, 0x2e, 0xa1, 0x66, 0x28, 0xd9, 0x24, 0xb2, 0x76, 0x5b, 0xa2, 0x49, 0x6d, 0x8b, 0xd1, 0x25, + 0x72, 0xf8, 0xf6, 0x64, 0x86, 0x68, 0x98, 0x16, 0xd4, 0xa4, 0x5c, 0xcc, 0x5d, 0x65, 0xb6, 0x92, + 0x6c, 0x70, 0x48, 0x50, 0xfd, 0xed, 0xb9, 0xda, 0x5e, 0x15, 0x46, 0x57, 0xa7, 0x8d, 0x9d, 0x84, + 0x90, 0xd8, 0xab, 0x00, 0x8c, 0xbc, 0xd3, 0x0a, 0xf7, 0xe4, 0x58, 0x05, 0xb8, 0xb3, 0x45, 0x06, + 0xd0, 0x2c, 0x1e, 0x8f, 0xca, 0x3f, 0x0f, 0x02, 0xc1, 0xaf, 0xbd, 0x03, 0x01, 0x13, 0x8a, 0x6b, + 0x3a, 0x91, 0x11, 0x41, 0x4f, 0x67, 0xdc, 0xea, 0x97, 0xf2, 0xcf, 0xce, 0xf0, 0xb4, 0xe6, 0x73, + 0x96, 0xac, 0x74, 0x22, 0xe7, 0xad, 0x35, 0x85, 0xe2, 0xf9, 0x37, 0xe8, 0x1c, 0x75, 0xdf, 0x6e, + 0x47, 0xf1, 0x1a, 0x71, 0x1d, 0x29, 0xc5, 0x89, 0x6f, 0xb7, 0x62, 0x0e, 0xaa, 0x18, 0xbe, 0x1b, + 0xfc, 0x56, 0x3e, 0x4b, 0xc6, 0xd2, 0x79, 0x20, 0x9a, 0xdb, 0xc0, 0xfe, 0x78, 0xcd, 0x5a, 0xf4, + 0x1f, 0xdd, 0xa8, 0x33, 0x88, 0x07, 0xc7, 0x31, 0xb1, 0x12, 0x10, 0x59, 0x27, 0x80, 0xec, 0x5f, + 0x60, 0x51, 0x7f, 0xa9, 0x19, 0xb5, 0x4a, 0x0d, 0x2d, 0xe5, 0x7a, 0x9f, 0x93, 0xc9, 0x9c, 0xef, + 0xa0, 0xe0, 0x3b, 0x4d, 0xae, 0x2a, 0xf5, 0xb0, 0xc8, 0xeb, 0xbb, 0x3c, 0x83, 0x53, 0x99, 0x61, + 0x17, 0x2b, 0x04, 0x7e, 0xba, 0x77, 0xd6, 0x26, 0xe1, 0x69, 0x14, 0x63, 0x55, 0x21, 0x0c, 0x7d, +} + +// Lookup tables for encryption. +// These can be recomputed by adapting the tests in aes_test.go. + +var te = [4][256]uint32{ + { + 0xc66363a5, 0xf87c7c84, 0xee777799, 0xf67b7b8d, 0xfff2f20d, 0xd66b6bbd, 0xde6f6fb1, 0x91c5c554, + 0x60303050, 0x02010103, 0xce6767a9, 0x562b2b7d, 0xe7fefe19, 0xb5d7d762, 0x4dababe6, 0xec76769a, + 0x8fcaca45, 0x1f82829d, 0x89c9c940, 0xfa7d7d87, 0xeffafa15, 0xb25959eb, 0x8e4747c9, 0xfbf0f00b, + 0x41adadec, 0xb3d4d467, 0x5fa2a2fd, 0x45afafea, 0x239c9cbf, 0x53a4a4f7, 0xe4727296, 0x9bc0c05b, + 0x75b7b7c2, 0xe1fdfd1c, 0x3d9393ae, 0x4c26266a, 0x6c36365a, 0x7e3f3f41, 0xf5f7f702, 0x83cccc4f, + 0x6834345c, 0x51a5a5f4, 0xd1e5e534, 0xf9f1f108, 0xe2717193, 0xabd8d873, 0x62313153, 0x2a15153f, + 0x0804040c, 0x95c7c752, 0x46232365, 0x9dc3c35e, 0x30181828, 0x379696a1, 0x0a05050f, 0x2f9a9ab5, + 0x0e070709, 0x24121236, 0x1b80809b, 0xdfe2e23d, 0xcdebeb26, 0x4e272769, 0x7fb2b2cd, 0xea75759f, + 0x1209091b, 0x1d83839e, 0x582c2c74, 0x341a1a2e, 0x361b1b2d, 0xdc6e6eb2, 0xb45a5aee, 0x5ba0a0fb, + 0xa45252f6, 0x763b3b4d, 0xb7d6d661, 0x7db3b3ce, 0x5229297b, 0xdde3e33e, 0x5e2f2f71, 0x13848497, + 0xa65353f5, 0xb9d1d168, 0x00000000, 0xc1eded2c, 0x40202060, 0xe3fcfc1f, 0x79b1b1c8, 0xb65b5bed, + 0xd46a6abe, 0x8dcbcb46, 0x67bebed9, 0x7239394b, 0x944a4ade, 0x984c4cd4, 0xb05858e8, 0x85cfcf4a, + 0xbbd0d06b, 0xc5efef2a, 0x4faaaae5, 0xedfbfb16, 0x864343c5, 0x9a4d4dd7, 0x66333355, 0x11858594, + 0x8a4545cf, 0xe9f9f910, 0x04020206, 0xfe7f7f81, 0xa05050f0, 0x783c3c44, 0x259f9fba, 0x4ba8a8e3, + 0xa25151f3, 0x5da3a3fe, 0x804040c0, 0x058f8f8a, 0x3f9292ad, 0x219d9dbc, 0x70383848, 0xf1f5f504, + 0x63bcbcdf, 0x77b6b6c1, 0xafdada75, 0x42212163, 0x20101030, 0xe5ffff1a, 0xfdf3f30e, 0xbfd2d26d, + 0x81cdcd4c, 0x180c0c14, 0x26131335, 0xc3ecec2f, 0xbe5f5fe1, 0x359797a2, 0x884444cc, 0x2e171739, + 0x93c4c457, 0x55a7a7f2, 0xfc7e7e82, 0x7a3d3d47, 0xc86464ac, 0xba5d5de7, 0x3219192b, 0xe6737395, + 0xc06060a0, 0x19818198, 0x9e4f4fd1, 0xa3dcdc7f, 0x44222266, 0x542a2a7e, 0x3b9090ab, 0x0b888883, + 0x8c4646ca, 0xc7eeee29, 0x6bb8b8d3, 0x2814143c, 0xa7dede79, 0xbc5e5ee2, 0x160b0b1d, 0xaddbdb76, + 0xdbe0e03b, 0x64323256, 0x743a3a4e, 0x140a0a1e, 0x924949db, 0x0c06060a, 0x4824246c, 0xb85c5ce4, + 0x9fc2c25d, 0xbdd3d36e, 0x43acacef, 0xc46262a6, 0x399191a8, 0x319595a4, 0xd3e4e437, 0xf279798b, + 0xd5e7e732, 0x8bc8c843, 0x6e373759, 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0xe2e23ddf, 0xebeb26cd, 0x2727694e, 0xb2b2cd7f, 0x75759fea, + 0x09091b12, 0x83839e1d, 0x2c2c7458, 0x1a1a2e34, 0x1b1b2d36, 0x6e6eb2dc, 0x5a5aeeb4, 0xa0a0fb5b, + 0x5252f6a4, 0x3b3b4d76, 0xd6d661b7, 0xb3b3ce7d, 0x29297b52, 0xe3e33edd, 0x2f2f715e, 0x84849713, + 0x5353f5a6, 0xd1d168b9, 0x00000000, 0xeded2cc1, 0x20206040, 0xfcfc1fe3, 0xb1b1c879, 0x5b5bedb6, + 0x6a6abed4, 0xcbcb468d, 0xbebed967, 0x39394b72, 0x4a4ade94, 0x4c4cd498, 0x5858e8b0, 0xcfcf4a85, + 0xd0d06bbb, 0xefef2ac5, 0xaaaae54f, 0xfbfb16ed, 0x4343c586, 0x4d4dd79a, 0x33335566, 0x85859411, + 0x4545cf8a, 0xf9f910e9, 0x02020604, 0x7f7f81fe, 0x5050f0a0, 0x3c3c4478, 0x9f9fba25, 0xa8a8e34b, + 0x5151f3a2, 0xa3a3fe5d, 0x4040c080, 0x8f8f8a05, 0x9292ad3f, 0x9d9dbc21, 0x38384870, 0xf5f504f1, + 0xbcbcdf63, 0xb6b6c177, 0xdada75af, 0x21216342, 0x10103020, 0xffff1ae5, 0xf3f30efd, 0xd2d26dbf, + 0xcdcd4c81, 0x0c0c1418, 0x13133526, 0xecec2fc3, 0x5f5fe1be, 0x9797a235, 0x4444cc88, 0x1717392e, + 0xc4c45793, 0xa7a7f255, 0x7e7e82fc, 0x3d3d477a, 0x6464acc8, 0x5d5de7ba, 0x19192b32, 0x737395e6, + 0x6060a0c0, 0x81819819, 0x4f4fd19e, 0xdcdc7fa3, 0x22226644, 0x2a2a7e54, 0x9090ab3b, 0x8888830b, + 0x4646ca8c, 0xeeee29c7, 0xb8b8d36b, 0x14143c28, 0xdede79a7, 0x5e5ee2bc, 0x0b0b1d16, 0xdbdb76ad, + 0xe0e03bdb, 0x32325664, 0x3a3a4e74, 0x0a0a1e14, 0x4949db92, 0x06060a0c, 0x24246c48, 0x5c5ce4b8, + 0xc2c25d9f, 0xd3d36ebd, 0xacacef43, 0x6262a6c4, 0x9191a839, 0x9595a431, 0xe4e437d3, 0x79798bf2, + 0xe7e732d5, 0xc8c8438b, 0x3737596e, 0x6d6db7da, 0x8d8d8c01, 0xd5d564b1, 0x4e4ed29c, 0xa9a9e049, + 0x6c6cb4d8, 0x5656faac, 0xf4f407f3, 0xeaea25cf, 0x6565afca, 0x7a7a8ef4, 0xaeaee947, 0x08081810, + 0xbabad56f, 0x787888f0, 0x25256f4a, 0x2e2e725c, 0x1c1c2438, 0xa6a6f157, 0xb4b4c773, 0xc6c65197, + 0xe8e823cb, 0xdddd7ca1, 0x74749ce8, 0x1f1f213e, 0x4b4bdd96, 0xbdbddc61, 0x8b8b860d, 0x8a8a850f, + 0x707090e0, 0x3e3e427c, 0xb5b5c471, 0x6666aacc, 0x4848d890, 0x03030506, 0xf6f601f7, 0x0e0e121c, + 0x6161a3c2, 0x35355f6a, 0x5757f9ae, 0xb9b9d069, 0x86869117, 0xc1c15899, 0x1d1d273a, 0x9e9eb927, + 0xe1e138d9, 0xf8f813eb, 0x9898b32b, 0x11113322, 0x6969bbd2, 0xd9d970a9, 0x8e8e8907, 0x9494a733, + 0x9b9bb62d, 0x1e1e223c, 0x87879215, 0xe9e920c9, 0xcece4987, 0x5555ffaa, 0x28287850, 0xdfdf7aa5, + 0x8c8c8f03, 0xa1a1f859, 0x89898009, 0x0d0d171a, 0xbfbfda65, 0xe6e631d7, 0x4242c684, 0x6868b8d0, + 0x4141c382, 0x9999b029, 0x2d2d775a, 0x0f0f111e, 0xb0b0cb7b, 0x5454fca8, 0xbbbbd66d, 0x16163a2c, + }, +} + +// Lookup tables for decryption. +// These can be recomputed by adapting the tests in aes_test.go. + +var td = [4][256]uint32{ + { + 0x51f4a750, 0x7e416553, 0x1a17a4c3, 0x3a275e96, 0x3bab6bcb, 0x1f9d45f1, 0xacfa58ab, 0x4be30393, + 0x2030fa55, 0xad766df6, 0x88cc7691, 0xf5024c25, 0x4fe5d7fc, 0xc52acbd7, 0x26354480, 0xb562a38f, + 0xdeb15a49, 0x25ba1b67, 0x45ea0e98, 0x5dfec0e1, 0xc32f7502, 0x814cf012, 0x8d4697a3, 0x6bd3f9c6, + 0x038f5fe7, 0x15929c95, 0xbf6d7aeb, 0x955259da, 0xd4be832d, 0x587421d3, 0x49e06929, 0x8ec9c844, + 0x75c2896a, 0xf48e7978, 0x99583e6b, 0x27b971dd, 0xbee14fb6, 0xf088ad17, 0xc920ac66, 0x7dce3ab4, + 0x63df4a18, 0xe51a3182, 0x97513360, 0x62537f45, 0xb16477e0, 0xbb6bae84, 0xfe81a01c, 0xf9082b94, + 0x70486858, 0x8f45fd19, 0x94de6c87, 0x527bf8b7, 0xab73d323, 0x724b02e2, 0xe31f8f57, 0x6655ab2a, + 0xb2eb2807, 0x2fb5c203, 0x86c57b9a, 0xd33708a5, 0x302887f2, 0x23bfa5b2, 0x02036aba, 0xed16825c, + 0x8acf1c2b, 0xa779b492, 0xf307f2f0, 0x4e69e2a1, 0x65daf4cd, 0x0605bed5, 0xd134621f, 0xc4a6fe8a, + 0x342e539d, 0xa2f355a0, 0x058ae132, 0xa4f6eb75, 0x0b83ec39, 0x4060efaa, 0x5e719f06, 0xbd6e1051, + 0x3e218af9, 0x96dd063d, 0xdd3e05ae, 0x4de6bd46, 0x91548db5, 0x71c45d05, 0x0406d46f, 0x605015ff, + 0x1998fb24, 0xd6bde997, 0x894043cc, 0x67d99e77, 0xb0e842bd, 0x07898b88, 0xe7195b38, 0x79c8eedb, + 0xa17c0a47, 0x7c420fe9, 0xf8841ec9, 0x00000000, 0x09808683, 0x322bed48, 0x1e1170ac, 0x6c5a724e, + 0xfd0efffb, 0x0f853856, 0x3daed51e, 0x362d3927, 0x0a0fd964, 0x685ca621, 0x9b5b54d1, 0x24362e3a, + 0x0c0a67b1, 0x9357e70f, 0xb4ee96d2, 0x1b9b919e, 0x80c0c54f, 0x61dc20a2, 0x5a774b69, 0x1c121a16, + 0xe293ba0a, 0xc0a02ae5, 0x3c22e043, 0x121b171d, 0x0e090d0b, 0xf28bc7ad, 0x2db6a8b9, 0x141ea9c8, + 0x57f11985, 0xaf75074c, 0xee99ddbb, 0xa37f60fd, 0xf701269f, 0x5c72f5bc, 0x44663bc5, 0x5bfb7e34, + 0x8b432976, 0xcb23c6dc, 0xb6edfc68, 0xb8e4f163, 0xd731dcca, 0x42638510, 0x13972240, 0x84c61120, + 0x854a247d, 0xd2bb3df8, 0xaef93211, 0xc729a16d, 0x1d9e2f4b, 0xdcb230f3, 0x0d8652ec, 0x77c1e3d0, + 0x2bb3166c, 0xa970b999, 0x119448fa, 0x47e96422, 0xa8fc8cc4, 0xa0f03f1a, 0x567d2cd8, 0x223390ef, + 0x87494ec7, 0xd938d1c1, 0x8ccaa2fe, 0x98d40b36, 0xa6f581cf, 0xa57ade28, 0xdab78e26, 0x3fadbfa4, + 0x2c3a9de4, 0x5078920d, 0x6a5fcc9b, 0x547e4662, 0xf68d13c2, 0x90d8b8e8, 0x2e39f75e, 0x82c3aff5, + 0x9f5d80be, 0x69d0937c, 0x6fd52da9, 0xcf2512b3, 0xc8ac993b, 0x10187da7, 0xe89c636e, 0xdb3bbb7b, + 0xcd267809, 0x6e5918f4, 0xec9ab701, 0x834f9aa8, 0xe6956e65, 0xaaffe67e, 0x21bccf08, 0xef15e8e6, + 0xbae79bd9, 0x4a6f36ce, 0xea9f09d4, 0x29b07cd6, 0x31a4b2af, 0x2a3f2331, 0xc6a59430, 0x35a266c0, + 0x744ebc37, 0xfc82caa6, 0xe090d0b0, 0x33a7d815, 0xf104984a, 0x41ecdaf7, 0x7fcd500e, 0x1791f62f, + 0x764dd68d, 0x43efb04d, 0xccaa4d54, 0xe49604df, 0x9ed1b5e3, 0x4c6a881b, 0xc12c1fb8, 0x4665517f, + 0x9d5eea04, 0x018c355d, 0xfa877473, 0xfb0b412e, 0xb3671d5a, 0x92dbd252, 0xe9105633, 0x6dd64713, + 0x9ad7618c, 0x37a10c7a, 0x59f8148e, 0xeb133c89, 0xcea927ee, 0xb761c935, 0xe11ce5ed, 0x7a47b13c, + 0x9cd2df59, 0x55f2733f, 0x1814ce79, 0x73c737bf, 0x53f7cdea, 0x5ffdaa5b, 0xdf3d6f14, 0x7844db86, + 0xcaaff381, 0xb968c43e, 0x3824342c, 0xc2a3405f, 0x161dc372, 0xbce2250c, 0x283c498b, 0xff0d9541, + 0x39a80171, 0x080cb3de, 0xd8b4e49c, 0x6456c190, 0x7bcb8461, 0xd532b670, 0x486c5c74, 0xd0b85742, + }, + { + 0x5051f4a7, 0x537e4165, 0xc31a17a4, 0x963a275e, 0xcb3bab6b, 0xf11f9d45, 0xabacfa58, 0x934be303, + 0x552030fa, 0xf6ad766d, 0x9188cc76, 0x25f5024c, 0xfc4fe5d7, 0xd7c52acb, 0x80263544, 0x8fb562a3, + 0x49deb15a, 0x6725ba1b, 0x9845ea0e, 0xe15dfec0, 0x02c32f75, 0x12814cf0, 0xa38d4697, 0xc66bd3f9, + 0xe7038f5f, 0x9515929c, 0xebbf6d7a, 0xda955259, 0x2dd4be83, 0xd3587421, 0x2949e069, 0x448ec9c8, + 0x6a75c289, 0x78f48e79, 0x6b99583e, 0xdd27b971, 0xb6bee14f, 0x17f088ad, 0x66c920ac, 0xb47dce3a, + 0x1863df4a, 0x82e51a31, 0x60975133, 0x4562537f, 0xe0b16477, 0x84bb6bae, 0x1cfe81a0, 0x94f9082b, + 0x58704868, 0x198f45fd, 0x8794de6c, 0xb7527bf8, 0x23ab73d3, 0xe2724b02, 0x57e31f8f, 0x2a6655ab, + 0x07b2eb28, 0x032fb5c2, 0x9a86c57b, 0xa5d33708, 0xf2302887, 0xb223bfa5, 0xba02036a, 0x5ced1682, + 0x2b8acf1c, 0x92a779b4, 0xf0f307f2, 0xa14e69e2, 0xcd65daf4, 0xd50605be, 0x1fd13462, 0x8ac4a6fe, + 0x9d342e53, 0xa0a2f355, 0x32058ae1, 0x75a4f6eb, 0x390b83ec, 0xaa4060ef, 0x065e719f, 0x51bd6e10, + 0xf93e218a, 0x3d96dd06, 0xaedd3e05, 0x464de6bd, 0xb591548d, 0x0571c45d, 0x6f0406d4, 0xff605015, + 0x241998fb, 0x97d6bde9, 0xcc894043, 0x7767d99e, 0xbdb0e842, 0x8807898b, 0x38e7195b, 0xdb79c8ee, + 0x47a17c0a, 0xe97c420f, 0xc9f8841e, 0x00000000, 0x83098086, 0x48322bed, 0xac1e1170, 0x4e6c5a72, + 0xfbfd0eff, 0x560f8538, 0x1e3daed5, 0x27362d39, 0x640a0fd9, 0x21685ca6, 0xd19b5b54, 0x3a24362e, + 0xb10c0a67, 0x0f9357e7, 0xd2b4ee96, 0x9e1b9b91, 0x4f80c0c5, 0xa261dc20, 0x695a774b, 0x161c121a, + 0x0ae293ba, 0xe5c0a02a, 0x433c22e0, 0x1d121b17, 0x0b0e090d, 0xadf28bc7, 0xb92db6a8, 0xc8141ea9, + 0x8557f119, 0x4caf7507, 0xbbee99dd, 0xfda37f60, 0x9ff70126, 0xbc5c72f5, 0xc544663b, 0x345bfb7e, + 0x768b4329, 0xdccb23c6, 0x68b6edfc, 0x63b8e4f1, 0xcad731dc, 0x10426385, 0x40139722, 0x2084c611, + 0x7d854a24, 0xf8d2bb3d, 0x11aef932, 0x6dc729a1, 0x4b1d9e2f, 0xf3dcb230, 0xec0d8652, 0xd077c1e3, + 0x6c2bb316, 0x99a970b9, 0xfa119448, 0x2247e964, 0xc4a8fc8c, 0x1aa0f03f, 0xd8567d2c, 0xef223390, + 0xc787494e, 0xc1d938d1, 0xfe8ccaa2, 0x3698d40b, 0xcfa6f581, 0x28a57ade, 0x26dab78e, 0xa43fadbf, + 0xe42c3a9d, 0x0d507892, 0x9b6a5fcc, 0x62547e46, 0xc2f68d13, 0xe890d8b8, 0x5e2e39f7, 0xf582c3af, + 0xbe9f5d80, 0x7c69d093, 0xa96fd52d, 0xb3cf2512, 0x3bc8ac99, 0xa710187d, 0x6ee89c63, 0x7bdb3bbb, + 0x09cd2678, 0xf46e5918, 0x01ec9ab7, 0xa8834f9a, 0x65e6956e, 0x7eaaffe6, 0x0821bccf, 0xe6ef15e8, + 0xd9bae79b, 0xce4a6f36, 0xd4ea9f09, 0xd629b07c, 0xaf31a4b2, 0x312a3f23, 0x30c6a594, 0xc035a266, + 0x37744ebc, 0xa6fc82ca, 0xb0e090d0, 0x1533a7d8, 0x4af10498, 0xf741ecda, 0x0e7fcd50, 0x2f1791f6, + 0x8d764dd6, 0x4d43efb0, 0x54ccaa4d, 0xdfe49604, 0xe39ed1b5, 0x1b4c6a88, 0xb8c12c1f, 0x7f466551, + 0x049d5eea, 0x5d018c35, 0x73fa8774, 0x2efb0b41, 0x5ab3671d, 0x5292dbd2, 0x33e91056, 0x136dd647, + 0x8c9ad761, 0x7a37a10c, 0x8e59f814, 0x89eb133c, 0xeecea927, 0x35b761c9, 0xede11ce5, 0x3c7a47b1, + 0x599cd2df, 0x3f55f273, 0x791814ce, 0xbf73c737, 0xea53f7cd, 0x5b5ffdaa, 0x14df3d6f, 0x867844db, + 0x81caaff3, 0x3eb968c4, 0x2c382434, 0x5fc2a340, 0x72161dc3, 0x0cbce225, 0x8b283c49, 0x41ff0d95, + 0x7139a801, 0xde080cb3, 0x9cd8b4e4, 0x906456c1, 0x617bcb84, 0x70d532b6, 0x74486c5c, 0x42d0b857, + }, + { + 0xa75051f4, 0x65537e41, 0xa4c31a17, 0x5e963a27, 0x6bcb3bab, 0x45f11f9d, 0x58abacfa, 0x03934be3, + 0xfa552030, 0x6df6ad76, 0x769188cc, 0x4c25f502, 0xd7fc4fe5, 0xcbd7c52a, 0x44802635, 0xa38fb562, + 0x5a49deb1, 0x1b6725ba, 0x0e9845ea, 0xc0e15dfe, 0x7502c32f, 0xf012814c, 0x97a38d46, 0xf9c66bd3, + 0x5fe7038f, 0x9c951592, 0x7aebbf6d, 0x59da9552, 0x832dd4be, 0x21d35874, 0x692949e0, 0xc8448ec9, + 0x896a75c2, 0x7978f48e, 0x3e6b9958, 0x71dd27b9, 0x4fb6bee1, 0xad17f088, 0xac66c920, 0x3ab47dce, + 0x4a1863df, 0x3182e51a, 0x33609751, 0x7f456253, 0x77e0b164, 0xae84bb6b, 0xa01cfe81, 0x2b94f908, + 0x68587048, 0xfd198f45, 0x6c8794de, 0xf8b7527b, 0xd323ab73, 0x02e2724b, 0x8f57e31f, 0xab2a6655, + 0x2807b2eb, 0xc2032fb5, 0x7b9a86c5, 0x08a5d337, 0x87f23028, 0xa5b223bf, 0x6aba0203, 0x825ced16, + 0x1c2b8acf, 0xb492a779, 0xf2f0f307, 0xe2a14e69, 0xf4cd65da, 0xbed50605, 0x621fd134, 0xfe8ac4a6, + 0x539d342e, 0x55a0a2f3, 0xe132058a, 0xeb75a4f6, 0xec390b83, 0xefaa4060, 0x9f065e71, 0x1051bd6e, + 0x8af93e21, 0x063d96dd, 0x05aedd3e, 0xbd464de6, 0x8db59154, 0x5d0571c4, 0xd46f0406, 0x15ff6050, + 0xfb241998, 0xe997d6bd, 0x43cc8940, 0x9e7767d9, 0x42bdb0e8, 0x8b880789, 0x5b38e719, 0xeedb79c8, + 0x0a47a17c, 0x0fe97c42, 0x1ec9f884, 0x00000000, 0x86830980, 0xed48322b, 0x70ac1e11, 0x724e6c5a, + 0xfffbfd0e, 0x38560f85, 0xd51e3dae, 0x3927362d, 0xd9640a0f, 0xa621685c, 0x54d19b5b, 0x2e3a2436, + 0x67b10c0a, 0xe70f9357, 0x96d2b4ee, 0x919e1b9b, 0xc54f80c0, 0x20a261dc, 0x4b695a77, 0x1a161c12, + 0xba0ae293, 0x2ae5c0a0, 0xe0433c22, 0x171d121b, 0x0d0b0e09, 0xc7adf28b, 0xa8b92db6, 0xa9c8141e, + 0x198557f1, 0x074caf75, 0xddbbee99, 0x60fda37f, 0x269ff701, 0xf5bc5c72, 0x3bc54466, 0x7e345bfb, + 0x29768b43, 0xc6dccb23, 0xfc68b6ed, 0xf163b8e4, 0xdccad731, 0x85104263, 0x22401397, 0x112084c6, + 0x247d854a, 0x3df8d2bb, 0x3211aef9, 0xa16dc729, 0x2f4b1d9e, 0x30f3dcb2, 0x52ec0d86, 0xe3d077c1, + 0x166c2bb3, 0xb999a970, 0x48fa1194, 0x642247e9, 0x8cc4a8fc, 0x3f1aa0f0, 0x2cd8567d, 0x90ef2233, + 0x4ec78749, 0xd1c1d938, 0xa2fe8cca, 0x0b3698d4, 0x81cfa6f5, 0xde28a57a, 0x8e26dab7, 0xbfa43fad, + 0x9de42c3a, 0x920d5078, 0xcc9b6a5f, 0x4662547e, 0x13c2f68d, 0xb8e890d8, 0xf75e2e39, 0xaff582c3, + 0x80be9f5d, 0x937c69d0, 0x2da96fd5, 0x12b3cf25, 0x993bc8ac, 0x7da71018, 0x636ee89c, 0xbb7bdb3b, + 0x7809cd26, 0x18f46e59, 0xb701ec9a, 0x9aa8834f, 0x6e65e695, 0xe67eaaff, 0xcf0821bc, 0xe8e6ef15, + 0x9bd9bae7, 0x36ce4a6f, 0x09d4ea9f, 0x7cd629b0, 0xb2af31a4, 0x23312a3f, 0x9430c6a5, 0x66c035a2, + 0xbc37744e, 0xcaa6fc82, 0xd0b0e090, 0xd81533a7, 0x984af104, 0xdaf741ec, 0x500e7fcd, 0xf62f1791, + 0xd68d764d, 0xb04d43ef, 0x4d54ccaa, 0x04dfe496, 0xb5e39ed1, 0x881b4c6a, 0x1fb8c12c, 0x517f4665, + 0xea049d5e, 0x355d018c, 0x7473fa87, 0x412efb0b, 0x1d5ab367, 0xd25292db, 0x5633e910, 0x47136dd6, + 0x618c9ad7, 0x0c7a37a1, 0x148e59f8, 0x3c89eb13, 0x27eecea9, 0xc935b761, 0xe5ede11c, 0xb13c7a47, + 0xdf599cd2, 0x733f55f2, 0xce791814, 0x37bf73c7, 0xcdea53f7, 0xaa5b5ffd, 0x6f14df3d, 0xdb867844, + 0xf381caaf, 0xc43eb968, 0x342c3824, 0x405fc2a3, 0xc372161d, 0x250cbce2, 0x498b283c, 0x9541ff0d, + 0x017139a8, 0xb3de080c, 0xe49cd8b4, 0xc1906456, 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