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1 // Copyright 2014 The Chromium Authors. All rights reserved.
2 // Use of this source code is governed by a BSD-style license that can be
3 // found in the LICENSE file.
4 
5 #include "chrome/browser/devtools/device/usb/android_rsa.h"
6 
7 #include "base/base64.h"
8 #include "base/memory/scoped_ptr.h"
9 #include "chrome/browser/prefs/pref_service_syncable.h"
10 #include "chrome/browser/profiles/profile.h"
11 #include "chrome/common/pref_names.h"
12 #include "crypto/rsa_private_key.h"
13 #include "crypto/signature_creator.h"
14 #include "net/cert/asn1_util.h"
15 
16 namespace {
17 
18 const size_t kRSANumWords = 64;
19 const size_t kBigIntSize = 1024;
20 
21 static const char kDummyRSAPublicKey[] =
22     "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEA6OSJ64q+ZLg7VV2ojEPh5TRbYjwbT"
23     "TifSPeFIV45CHnbTWYiiIn41wrozpYizNsMWZUBjdah1N78WVhbyDrnr0bDgFp+gXjfVppa3I"
24     "gjiohEcemK3omXi3GDMK8ERhriLUKfQS842SXtQ8I+KoZtpCkGM//0h7+P+Rhm0WwdipIRMhR"
25     "8haNAeyDiiCvqJcvevv2T52vqKtS3aWz+GjaTJJLVWydEpz9WdvWeLfFVhe2ZnqwwZNa30Qoj"
26     "fsnvjaMwK2MU7uYfRBPuvLyK5QESWBpArNDd6ULl8Y+NU6kwNOVDc87OASCVEM1gw2IMi2mo2"
27     "WO5ywp0UWRiGZCkK+wOFQIDAQAB";
28 
29 typedef struct RSAPublicKey {
30     int len;                // Length of n[] in number of uint32
31     uint32 n0inv;           // -1 / n[0] mod 2^32
32     uint32 n[kRSANumWords];  // modulus as little endian array
33     uint32 rr[kRSANumWords]; // R^2 as little endian array
34     int exponent;           // 3 or 65537
35 } RSAPublicKey;
36 
37 // http://en.wikipedia.org/wiki/Extended_Euclidean_algorithm
38 // a * x + b * y = gcd(a, b) = d
ExtendedEuclid(uint64 a,uint64 b,uint64 * x,uint64 * y,uint64 * d)39 void ExtendedEuclid(uint64 a, uint64 b, uint64 *x, uint64 *y, uint64 *d) {
40   uint64 x1 = 0, x2 = 1, y1 = 1, y2 = 0;
41 
42   while (b > 0) {
43     uint64 q = a / b;
44     uint64 r = a % b;
45     *x = x2 - q * x1;
46     *y = y2 - q * y1;
47     a = b;
48     b = r;
49     x2 = x1;
50     x1 = *x;
51     y2 = y1;
52     y1 = *y;
53   }
54 
55   *d = a;
56   *x = x2;
57   *y = y2;
58 }
59 
ModInverse(uint64 a,uint64 m)60 uint32 ModInverse(uint64 a, uint64 m)
61 {
62   uint64 d, x, y;
63   ExtendedEuclid(a, m, &x, &y, &d);
64   if (d == 1)
65     return static_cast<uint32>(x);
66   return 0;
67 }
68 
BnNew()69 uint32* BnNew() {
70   uint32* result = new uint32[kBigIntSize];
71   memset(result, 0, kBigIntSize * sizeof(uint32));
72   return result;
73 }
74 
BnFree(uint32 * a)75 void BnFree(uint32* a) {
76   delete[] a;
77 }
78 
BnCopy(uint32 * a)79 uint32* BnCopy(uint32* a) {
80   uint32* result = new uint32[kBigIntSize];
81   memcpy(result, a, kBigIntSize * sizeof(uint32));
82   return result;
83 }
84 
BnMul(uint32 * a,uint32 b)85 uint32* BnMul(uint32* a, uint32 b) {
86   uint32* result = BnNew();
87   uint64 carry_over = 0;
88   for (size_t i = 0; i < kBigIntSize; ++i) {
89     carry_over += static_cast<uint64>(a[i]) * b;
90     result[i] = carry_over & kuint32max;
91     carry_over >>= 32;
92   }
93   return result;
94 }
95 
BnSub(uint32 * a,uint32 * b)96 void BnSub(uint32* a, uint32* b) {
97   int carry_over = 0;
98   for (size_t i = 0; i < kBigIntSize; ++i) {
99     int64 sub = static_cast<int64>(a[i]) - b[i] - carry_over;
100     carry_over = 0;
101     if (sub < 0) {
102       carry_over = 1;
103       sub += 0x100000000LL;
104     }
105     a[i] = static_cast<uint32>(sub);
106   }
107 }
108 
BnLeftShift(uint32 * a,int offset)109 void BnLeftShift(uint32* a, int offset) {
110   for (int i = kBigIntSize - offset - 1; i >= 0; --i)
111     a[i + offset] = a[i];
112   for (int i = 0; i < offset; ++i)
113     a[i] = 0;
114 }
115 
BnCompare(uint32 * a,uint32 * b)116 int BnCompare(uint32* a, uint32* b) {
117   for (int i = kBigIntSize - 1; i >= 0; --i) {
118     if (a[i] > b[i])
119       return 1;
120     if (a[i] < b[i])
121       return -1;
122   }
123   return 0;
124 }
125 
BnGuess(uint32 * a,uint32 * b,uint64 from,uint64 to)126 uint64 BnGuess(uint32* a, uint32* b, uint64 from, uint64 to) {
127   if (from + 1 >= to)
128     return from;
129 
130   uint64 guess = (from + to) / 2;
131   uint32* t = BnMul(b, static_cast<uint32>(guess));
132   int result = BnCompare(a, t);
133   BnFree(t);
134   if (result > 0)
135     return BnGuess(a, b, guess, to);
136   if (result < 0)
137     return BnGuess(a, b, from, guess);
138   return guess;
139 }
140 
BnDiv(uint32 * a,uint32 * b,uint32 ** pq,uint32 ** pr)141 void BnDiv(uint32* a, uint32* b, uint32** pq, uint32** pr) {
142   if (BnCompare(a, b) < 0) {
143     if (pq)
144       *pq = BnNew();
145     if (pr)
146       *pr = BnCopy(a);
147     return;
148   }
149 
150   int oa = kBigIntSize - 1;
151   int ob = kBigIntSize - 1;
152   for (; oa > 0 && !a[oa]; --oa) {}
153   for (; ob > 0 && !b[ob]; --ob) {}
154   uint32* q = BnNew();
155   uint32* ca = BnCopy(a);
156 
157   int digit = a[oa] < b[ob] ? oa - ob - 1 : oa - ob;
158 
159   for (; digit >= 0; --digit) {
160     uint32* shifted_b = BnCopy(b);
161     BnLeftShift(shifted_b, digit);
162     uint32 value = static_cast<uint32>(
163         BnGuess(ca, shifted_b, 0, static_cast<uint64>(kuint32max) + 1));
164     q[digit] = value;
165     uint32* t = BnMul(shifted_b, value);
166     BnSub(ca, t);
167     BnFree(t);
168     BnFree(shifted_b);
169   }
170 
171   if (pq)
172     *pq = q;
173   else
174     BnFree(q);
175   if (pr)
176     *pr = ca;
177   else
178     BnFree(ca);
179 }
180 
181 }  // namespace
182 
AndroidRSAPrivateKey(Profile * profile)183 crypto::RSAPrivateKey* AndroidRSAPrivateKey(Profile* profile) {
184   std::string encoded_key =
185       profile->GetPrefs()->GetString(prefs::kDevToolsAdbKey);
186   std::string decoded_key;
187   scoped_ptr<crypto::RSAPrivateKey> key;
188   if (!encoded_key.empty() && base::Base64Decode(encoded_key, &decoded_key)) {
189     std::vector<uint8> key_info(decoded_key.begin(), decoded_key.end());
190     key.reset(crypto::RSAPrivateKey::CreateFromPrivateKeyInfo(key_info));
191   }
192   if (!key) {
193     key.reset(crypto::RSAPrivateKey::Create(2048));
194     std::vector<uint8> key_info;
195     if (!key || !key->ExportPrivateKey(&key_info))
196       return NULL;
197 
198     std::string key_string(key_info.begin(), key_info.end());
199     base::Base64Encode(key_string, &encoded_key);
200     profile->GetPrefs()->SetString(prefs::kDevToolsAdbKey,
201                                    encoded_key);
202   }
203   return key.release();
204 }
205 
AndroidRSAPublicKey(crypto::RSAPrivateKey * key)206 std::string AndroidRSAPublicKey(crypto::RSAPrivateKey* key) {
207   std::vector<uint8> public_key;
208   if (!key)
209     return kDummyRSAPublicKey;
210 
211   key->ExportPublicKey(&public_key);
212   std::string asn1(public_key.begin(), public_key.end());
213 
214   base::StringPiece pk;
215   if (!net::asn1::ExtractSubjectPublicKeyFromSPKI(asn1, &pk))
216     return kDummyRSAPublicKey;
217 
218   // Skip 10 byte asn1 prefix to the modulus.
219   std::vector<uint8> pk_data(pk.data() + 10, pk.data() + pk.length());
220   uint32* n = BnNew();
221   for (size_t i = 0; i < kRSANumWords; ++i) {
222     uint32 t = pk_data[4 * i];
223     t = t << 8;
224     t += pk_data[4 * i + 1];
225     t = t << 8;
226     t += pk_data[4 * i + 2];
227     t = t << 8;
228     t += pk_data[4 * i + 3];
229     n[kRSANumWords - i - 1] = t;
230   }
231   uint64 n0 = n[0];
232 
233   RSAPublicKey pkey;
234   pkey.len = kRSANumWords;
235   pkey.exponent = 65537; // Fixed public exponent
236   pkey.n0inv = 0 - ModInverse(n0, 0x100000000LL);
237   if (pkey.n0inv == 0)
238     return kDummyRSAPublicKey;
239 
240   uint32* r = BnNew();
241   r[kRSANumWords * 2] = 1;
242 
243   uint32* rr;
244   BnDiv(r, n, NULL, &rr);
245 
246   for (size_t i = 0; i < kRSANumWords; ++i) {
247     pkey.n[i] = n[i];
248     pkey.rr[i] = rr[i];
249   }
250 
251   BnFree(n);
252   BnFree(r);
253   BnFree(rr);
254 
255   std::string output;
256   std::string input(reinterpret_cast<char*>(&pkey), sizeof(pkey));
257   base::Base64Encode(input, &output);
258   return output;
259 }
260 
AndroidRSASign(crypto::RSAPrivateKey * key,const std::string & body)261 std::string AndroidRSASign(crypto::RSAPrivateKey* key,
262                            const std::string& body) {
263   std::vector<uint8> digest(body.begin(), body.end());
264   std::vector<uint8> result;
265   if (!crypto::SignatureCreator::Sign(key, crypto::SignatureCreator::SHA1,
266                                       vector_as_array(&digest), digest.size(),
267                                       &result)) {
268     return std::string();
269   }
270   return std::string(result.begin(), result.end());
271 }
272