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curve25519.c

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/home/opencoverage/opencoverage/guest-scripts/libressl/src/crypto/curve25519/curve25519.c

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Preprocessed file

Line Source Count

1 -

2 -

3 -

4 -

5 -

6 -

7 -

8 static const int64_t kBottom25Bits = 0x1ffffffLL; -

9 static const int64_t kBottom26Bits = 0x3ffffffLL; -

10 static const int64_t kTop39Bits = 0xfffffffffe000000LL; -

11 static const int64_t kTop38Bits = 0xfffffffffc000000LL; -

12 -

13 static uint64_t load_3(const uint8_t *in) { -

14 uint64_t result; -

15 result = (uint64_t)in[0]; -

16 result |= ((uint64_t)in[1]) << 8; -

17 result |= ((uint64_t)in[2]) << 16; -

return

executed 8184 times by 3 tests: return result;

Executed by:

ssltest
tlstest
x25519test

result;

executed 8184 times by 3 tests: return result;

Executed by:

ssltest
tlstest
x25519test

8184

19 } -

20 -

21 static uint64_t load_4(const uint8_t *in) { -

22 uint64_t result; -

23 result = (uint64_t)in[0]; -

24 result |= ((uint64_t)in[1]) << 8; -

25 result |= ((uint64_t)in[2]) << 16; -

26 result |= ((uint64_t)in[3]) << 24; -

return

executed 2046 times by 3 tests: return result;

Executed by:

ssltest
tlstest
x25519test

result;

executed 2046 times by 3 tests: return result;

Executed by:

ssltest
tlstest
x25519test

2046

28 } -

29 -

30 static void fe_frombytes(fe h, const uint8_t *s) { -

31 -

32 int64_t h0 = load_4(s); -

33 int64_t h1 = load_3(s + 4) << 6; -

34 int64_t h2 = load_3(s + 7) << 5; -

35 int64_t h3 = load_3(s + 10) << 3; -

36 int64_t h4 = load_3(s + 13) << 2; -

37 int64_t h5 = load_4(s + 16); -

38 int64_t h6 = load_3(s + 20) << 7; -

39 int64_t h7 = load_3(s + 23) << 5; -

40 int64_t h8 = load_3(s + 26) << 4; -

41 int64_t h9 = (load_3(s + 29) & 8388607) << 2; -

42 int64_t carry0; -

43 int64_t carry1; -

44 int64_t carry2; -

45 int64_t carry3; -

46 int64_t carry4; -

47 int64_t carry5; -

48 int64_t carry6; -

49 int64_t carry7; -

50 int64_t carry8; -

51 int64_t carry9; -

52 -

53 carry9 = h9 + (1 << 24); h0 += (carry9 >> 25) * 19; h9 -= carry9 & kTop39Bits; -

54 carry1 = h1 + (1 << 24); h2 += carry1 >> 25; h1 -= carry1 & kTop39Bits; -

55 carry3 = h3 + (1 << 24); h4 += carry3 >> 25; h3 -= carry3 & kTop39Bits; -

56 carry5 = h5 + (1 << 24); h6 += carry5 >> 25; h5 -= carry5 & kTop39Bits; -

57 carry7 = h7 + (1 << 24); h8 += carry7 >> 25; h7 -= carry7 & kTop39Bits; -

58 -

59 carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits; -

60 carry2 = h2 + (1 << 25); h3 += carry2 >> 26; h2 -= carry2 & kTop38Bits; -

61 carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits; -

62 carry6 = h6 + (1 << 25); h7 += carry6 >> 26; h6 -= carry6 & kTop38Bits; -

63 carry8 = h8 + (1 << 25); h9 += carry8 >> 26; h8 -= carry8 & kTop38Bits; -

64 -

65 h[0] = h0; -

66 h[1] = h1; -

67 h[2] = h2; -

68 h[3] = h3; -

69 h[4] = h4; -

70 h[5] = h5; -

71 h[6] = h6; -

72 h[7] = h7; -

73 h[8] = h8; -

74 h[9] = h9; -

}

executed 1023 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

1023

76 static void fe_tobytes(uint8_t *s, const fe h) { -

77 int32_t h0 = h[0]; -

78 int32_t h1 = h[1]; -

79 int32_t h2 = h[2]; -

80 int32_t h3 = h[3]; -

81 int32_t h4 = h[4]; -

82 int32_t h5 = h[5]; -

83 int32_t h6 = h[6]; -

84 int32_t h7 = h[7]; -

85 int32_t h8 = h[8]; -

86 int32_t h9 = h[9]; -

87 int32_t q; -

88 -

89 q = (19 * h9 + (((int32_t) 1) << 24)) >> 25; -

90 q = (h0 + q) >> 26; -

91 q = (h1 + q) >> 25; -

92 q = (h2 + q) >> 26; -

93 q = (h3 + q) >> 25; -

94 q = (h4 + q) >> 26; -

95 q = (h5 + q) >> 25; -

96 q = (h6 + q) >> 26; -

97 q = (h7 + q) >> 25; -

98 q = (h8 + q) >> 26; -

99 q = (h9 + q) >> 25; -

100 -

101 -

102 h0 += 19 * q; -

103 -

104 -

105 h1 += h0 >> 26; h0 &= kBottom26Bits; -

106 h2 += h1 >> 25; h1 &= kBottom25Bits; -

107 h3 += h2 >> 26; h2 &= kBottom26Bits; -

108 h4 += h3 >> 25; h3 &= kBottom25Bits; -

109 h5 += h4 >> 26; h4 &= kBottom26Bits; -

110 h6 += h5 >> 25; h5 &= kBottom25Bits; -

111 h7 += h6 >> 26; h6 &= kBottom26Bits; -

112 h8 += h7 >> 25; h7 &= kBottom25Bits; -

113 h9 += h8 >> 26; h8 &= kBottom26Bits; -

114 h9 &= kBottom25Bits; -

115 -

116 -

117 -

118 -

119 -

120 -

121 -

122 s[0] = h0 >> 0; -

123 s[1] = h0 >> 8; -

124 s[2] = h0 >> 16; -

125 s[3] = (h0 >> 24) | ((uint32_t)(h1) << 2); -

126 s[4] = h1 >> 6; -

127 s[5] = h1 >> 14; -

128 s[6] = (h1 >> 22) | ((uint32_t)(h2) << 3); -

129 s[7] = h2 >> 5; -

130 s[8] = h2 >> 13; -

131 s[9] = (h2 >> 21) | ((uint32_t)(h3) << 5); -

132 s[10] = h3 >> 3; -

133 s[11] = h3 >> 11; -

134 s[12] = (h3 >> 19) | ((uint32_t)(h4) << 6); -

135 s[13] = h4 >> 2; -

136 s[14] = h4 >> 10; -

137 s[15] = h4 >> 18; -

138 s[16] = h5 >> 0; -

139 s[17] = h5 >> 8; -

140 s[18] = h5 >> 16; -

141 s[19] = (h5 >> 24) | ((uint32_t)(h6) << 1); -

142 s[20] = h6 >> 7; -

143 s[21] = h6 >> 15; -

144 s[22] = (h6 >> 23) | ((uint32_t)(h7) << 3); -

145 s[23] = h7 >> 5; -

146 s[24] = h7 >> 13; -

147 s[25] = (h7 >> 21) | ((uint32_t)(h8) << 4); -

148 s[26] = h8 >> 4; -

149 s[27] = h8 >> 12; -

150 s[28] = (h8 >> 20) | ((uint32_t)(h9) << 6); -

151 s[29] = h9 >> 2; -

152 s[30] = h9 >> 10; -

153 s[31] = h9 >> 18; -

154

}

executed 1023 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

1023

155 -

156 -

157 static void fe_copy(fe h, const fe f) { -

158 memmove(h, f, sizeof(int32_t) * 10); -

159

}

executed 1023 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

1023

160 -

161 -

162

static void fe_0(fe h) { memset(h, 0, sizeof(int32_t) * 10); }

executed 1023 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

1023

163 -

164 -

165 static void fe_1(fe h) { -

166 memset(h, 0, sizeof(int32_t) * 10); -

167 h[0] = 1; -

168

}

executed 2046 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

2046

169 static void fe_add(fe h, const fe f, const fe g) { -

170 unsigned i; -

171

for (i = 0; i < 10

i < 10	Description
TRUE	evaluated 10434600 times by 3 tests Evaluated by: ssltest tlstest x25519test
FALSE	evaluated 1043460 times by 3 tests Evaluated by: ssltest tlstest x25519test

; i++) {

1043460-10434600

172 h[i] = f[i] + g[i]; -

173

}

executed 10434600 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

10434600

174

}

executed 1043460 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

1043460

175 static void fe_sub(fe h, const fe f, const fe g) { -

176 unsigned i; -

177

for (i = 0; i < 10

i < 10	Description
TRUE	evaluated 10434600 times by 3 tests Evaluated by: ssltest tlstest x25519test
FALSE	evaluated 1043460 times by 3 tests Evaluated by: ssltest tlstest x25519test

; i++) {

1043460-10434600

178 h[i] = f[i] - g[i]; -

179

}

executed 10434600 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

10434600

180

}

executed 1043460 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

1043460

181 static void fe_mul(fe h, const fe f, const fe g) { -

182 int32_t f0 = f[0]; -

183 int32_t f1 = f[1]; -

184 int32_t f2 = f[2]; -

185 int32_t f3 = f[3]; -

186 int32_t f4 = f[4]; -

187 int32_t f5 = f[5]; -

188 int32_t f6 = f[6]; -

189 int32_t f7 = f[7]; -

190 int32_t f8 = f[8]; -

191 int32_t f9 = f[9]; -

192 int32_t g0 = g[0]; -

193 int32_t g1 = g[1]; -

194 int32_t g2 = g[2]; -

195 int32_t g3 = g[3]; -

196 int32_t g4 = g[4]; -

197 int32_t g5 = g[5]; -

198 int32_t g6 = g[6]; -

199 int32_t g7 = g[7]; -

200 int32_t g8 = g[8]; -

201 int32_t g9 = g[9]; -

202 int32_t g1_19 = 19 * g1; -

203 int32_t g2_19 = 19 * g2; -

204 int32_t g3_19 = 19 * g3; -

205 int32_t g4_19 = 19 * g4; -

206 int32_t g5_19 = 19 * g5; -

207 int32_t g6_19 = 19 * g6; -

208 int32_t g7_19 = 19 * g7; -

209 int32_t g8_19 = 19 * g8; -

210 int32_t g9_19 = 19 * g9; -

211 int32_t f1_2 = 2 * f1; -

212 int32_t f3_2 = 2 * f3; -

213 int32_t f5_2 = 2 * f5; -

214 int32_t f7_2 = 2 * f7; -

215 int32_t f9_2 = 2 * f9; -

216 int64_t f0g0 = f0 * (int64_t) g0; -

217 int64_t f0g1 = f0 * (int64_t) g1; -

218 int64_t f0g2 = f0 * (int64_t) g2; -

219 int64_t f0g3 = f0 * (int64_t) g3; -

220 int64_t f0g4 = f0 * (int64_t) g4; -

221 int64_t f0g5 = f0 * (int64_t) g5; -

222 int64_t f0g6 = f0 * (int64_t) g6; -

223 int64_t f0g7 = f0 * (int64_t) g7; -

224 int64_t f0g8 = f0 * (int64_t) g8; -

225 int64_t f0g9 = f0 * (int64_t) g9; -

226 int64_t f1g0 = f1 * (int64_t) g0; -

227 int64_t f1g1_2 = f1_2 * (int64_t) g1; -

228 int64_t f1g2 = f1 * (int64_t) g2; -

229 int64_t f1g3_2 = f1_2 * (int64_t) g3; -

230 int64_t f1g4 = f1 * (int64_t) g4; -

231 int64_t f1g5_2 = f1_2 * (int64_t) g5; -

232 int64_t f1g6 = f1 * (int64_t) g6; -

233 int64_t f1g7_2 = f1_2 * (int64_t) g7; -

234 int64_t f1g8 = f1 * (int64_t) g8; -

235 int64_t f1g9_38 = f1_2 * (int64_t) g9_19; -

236 int64_t f2g0 = f2 * (int64_t) g0; -

237 int64_t f2g1 = f2 * (int64_t) g1; -

238 int64_t f2g2 = f2 * (int64_t) g2; -

239 int64_t f2g3 = f2 * (int64_t) g3; -

240 int64_t f2g4 = f2 * (int64_t) g4; -

241 int64_t f2g5 = f2 * (int64_t) g5; -

242 int64_t f2g6 = f2 * (int64_t) g6; -

243 int64_t f2g7 = f2 * (int64_t) g7; -

244 int64_t f2g8_19 = f2 * (int64_t) g8_19; -

245 int64_t f2g9_19 = f2 * (int64_t) g9_19; -

246 int64_t f3g0 = f3 * (int64_t) g0; -

247 int64_t f3g1_2 = f3_2 * (int64_t) g1; -

248 int64_t f3g2 = f3 * (int64_t) g2; -

249 int64_t f3g3_2 = f3_2 * (int64_t) g3; -

250 int64_t f3g4 = f3 * (int64_t) g4; -

251 int64_t f3g5_2 = f3_2 * (int64_t) g5; -

252 int64_t f3g6 = f3 * (int64_t) g6; -

253 int64_t f3g7_38 = f3_2 * (int64_t) g7_19; -

254 int64_t f3g8_19 = f3 * (int64_t) g8_19; -

255 int64_t f3g9_38 = f3_2 * (int64_t) g9_19; -

256 int64_t f4g0 = f4 * (int64_t) g0; -

257 int64_t f4g1 = f4 * (int64_t) g1; -

258 int64_t f4g2 = f4 * (int64_t) g2; -

259 int64_t f4g3 = f4 * (int64_t) g3; -

260 int64_t f4g4 = f4 * (int64_t) g4; -

261 int64_t f4g5 = f4 * (int64_t) g5; -

262 int64_t f4g6_19 = f4 * (int64_t) g6_19; -

263 int64_t f4g7_19 = f4 * (int64_t) g7_19; -

264 int64_t f4g8_19 = f4 * (int64_t) g8_19; -

265 int64_t f4g9_19 = f4 * (int64_t) g9_19; -

266 int64_t f5g0 = f5 * (int64_t) g0; -

267 int64_t f5g1_2 = f5_2 * (int64_t) g1; -

268 int64_t f5g2 = f5 * (int64_t) g2; -

269 int64_t f5g3_2 = f5_2 * (int64_t) g3; -

270 int64_t f5g4 = f5 * (int64_t) g4; -

271 int64_t f5g5_38 = f5_2 * (int64_t) g5_19; -

272 int64_t f5g6_19 = f5 * (int64_t) g6_19; -

273 int64_t f5g7_38 = f5_2 * (int64_t) g7_19; -

274 int64_t f5g8_19 = f5 * (int64_t) g8_19; -

275 int64_t f5g9_38 = f5_2 * (int64_t) g9_19; -

276 int64_t f6g0 = f6 * (int64_t) g0; -

277 int64_t f6g1 = f6 * (int64_t) g1; -

278 int64_t f6g2 = f6 * (int64_t) g2; -

279 int64_t f6g3 = f6 * (int64_t) g3; -

280 int64_t f6g4_19 = f6 * (int64_t) g4_19; -

281 int64_t f6g5_19 = f6 * (int64_t) g5_19; -

282 int64_t f6g6_19 = f6 * (int64_t) g6_19; -

283 int64_t f6g7_19 = f6 * (int64_t) g7_19; -

284 int64_t f6g8_19 = f6 * (int64_t) g8_19; -

285 int64_t f6g9_19 = f6 * (int64_t) g9_19; -

286 int64_t f7g0 = f7 * (int64_t) g0; -

287 int64_t f7g1_2 = f7_2 * (int64_t) g1; -

288 int64_t f7g2 = f7 * (int64_t) g2; -

289 int64_t f7g3_38 = f7_2 * (int64_t) g3_19; -

290 int64_t f7g4_19 = f7 * (int64_t) g4_19; -

291 int64_t f7g5_38 = f7_2 * (int64_t) g5_19; -

292 int64_t f7g6_19 = f7 * (int64_t) g6_19; -

293 int64_t f7g7_38 = f7_2 * (int64_t) g7_19; -

294 int64_t f7g8_19 = f7 * (int64_t) g8_19; -

295 int64_t f7g9_38 = f7_2 * (int64_t) g9_19; -

296 int64_t f8g0 = f8 * (int64_t) g0; -

297 int64_t f8g1 = f8 * (int64_t) g1; -

298 int64_t f8g2_19 = f8 * (int64_t) g2_19; -

299 int64_t f8g3_19 = f8 * (int64_t) g3_19; -

300 int64_t f8g4_19 = f8 * (int64_t) g4_19; -

301 int64_t f8g5_19 = f8 * (int64_t) g5_19; -

302 int64_t f8g6_19 = f8 * (int64_t) g6_19; -

303 int64_t f8g7_19 = f8 * (int64_t) g7_19; -

304 int64_t f8g8_19 = f8 * (int64_t) g8_19; -

305 int64_t f8g9_19 = f8 * (int64_t) g9_19; -

306 int64_t f9g0 = f9 * (int64_t) g0; -

307 int64_t f9g1_38 = f9_2 * (int64_t) g1_19; -

308 int64_t f9g2_19 = f9 * (int64_t) g2_19; -

309 int64_t f9g3_38 = f9_2 * (int64_t) g3_19; -

310 int64_t f9g4_19 = f9 * (int64_t) g4_19; -

311 int64_t f9g5_38 = f9_2 * (int64_t) g5_19; -

312 int64_t f9g6_19 = f9 * (int64_t) g6_19; -

313 int64_t f9g7_38 = f9_2 * (int64_t) g7_19; -

314 int64_t f9g8_19 = f9 * (int64_t) g8_19; -

315 int64_t f9g9_38 = f9_2 * (int64_t) g9_19; -

316 int64_t h0 = f0g0+f1g9_38+f2g8_19+f3g7_38+f4g6_19+f5g5_38+f6g4_19+f7g3_38+f8g2_19+f9g1_38; -

317 int64_t h1 = f0g1+f1g0 +f2g9_19+f3g8_19+f4g7_19+f5g6_19+f6g5_19+f7g4_19+f8g3_19+f9g2_19; -

318 int64_t h2 = f0g2+f1g1_2 +f2g0 +f3g9_38+f4g8_19+f5g7_38+f6g6_19+f7g5_38+f8g4_19+f9g3_38; -

319 int64_t h3 = f0g3+f1g2 +f2g1 +f3g0 +f4g9_19+f5g8_19+f6g7_19+f7g6_19+f8g5_19+f9g4_19; -

320 int64_t h4 = f0g4+f1g3_2 +f2g2 +f3g1_2 +f4g0 +f5g9_38+f6g8_19+f7g7_38+f8g6_19+f9g5_38; -

321 int64_t h5 = f0g5+f1g4 +f2g3 +f3g2 +f4g1 +f5g0 +f6g9_19+f7g8_19+f8g7_19+f9g6_19; -

322 int64_t h6 = f0g6+f1g5_2 +f2g4 +f3g3_2 +f4g2 +f5g1_2 +f6g0 +f7g9_38+f8g8_19+f9g7_38; -

323 int64_t h7 = f0g7+f1g6 +f2g5 +f3g4 +f4g3 +f5g2 +f6g1 +f7g0 +f8g9_19+f9g8_19; -

324 int64_t h8 = f0g8+f1g7_2 +f2g6 +f3g5_2 +f4g4 +f5g3_2 +f6g2 +f7g1_2 +f8g0 +f9g9_38; -

325 int64_t h9 = f0g9+f1g8 +f2g7 +f3g6 +f4g5 +f5g4 +f6g3 +f7g2 +f8g1 +f9g0 ; -

326 int64_t carry0; -

327 int64_t carry1; -

328 int64_t carry2; -

329 int64_t carry3; -

330 int64_t carry4; -

331 int64_t carry5; -

332 int64_t carry6; -

333 int64_t carry7; -

334 int64_t carry8; -

335 int64_t carry9; -

336 -

337 -

338 -

339 -

340 -

341 -

342 carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits; -

343 carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits; -

344 -

345 -

346 -

347 -

348 -

349 carry1 = h1 + (1 << 24); h2 += carry1 >> 25; h1 -= carry1 & kTop39Bits; -

350 carry5 = h5 + (1 << 24); h6 += carry5 >> 25; h5 -= carry5 & kTop39Bits; -

351 -

352 -

353 -

354 -

355 -

356 carry2 = h2 + (1 << 25); h3 += carry2 >> 26; h2 -= carry2 & kTop38Bits; -

357 carry6 = h6 + (1 << 25); h7 += carry6 >> 26; h6 -= carry6 & kTop38Bits; -

358 -

359 -

360 -

361 -

362 -

363 carry3 = h3 + (1 << 24); h4 += carry3 >> 25; h3 -= carry3 & kTop39Bits; -

364 carry7 = h7 + (1 << 24); h8 += carry7 >> 25; h7 -= carry7 & kTop39Bits; -

365 -

366 -

367 -

368 -

369 -

370 carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits; -

371 carry8 = h8 + (1 << 25); h9 += carry8 >> 26; h8 -= carry8 & kTop38Bits; -

372 -

373 -

374 -

375 -

376 -

377 carry9 = h9 + (1 << 24); h0 += (carry9 >> 25) * 19; h9 -= carry9 & kTop39Bits; -

378 -

379 -

380 -

381 carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits; -

382 -

383 -

384 -

385 h[0] = h0; -

386 h[1] = h1; -

387 h[2] = h2; -

388 h[3] = h3; -

389 h[4] = h4; -

390 h[5] = h5; -

391 h[6] = h6; -

392 h[7] = h7; -

393 h[8] = h8; -

394 h[9] = h9; -

395

}

executed 1316601 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

1316601

396 static void fe_sq(fe h, const fe f) { -

397 int32_t f0 = f[0]; -

398 int32_t f1 = f[1]; -

399 int32_t f2 = f[2]; -

400 int32_t f3 = f[3]; -

401 int32_t f4 = f[4]; -

402 int32_t f5 = f[5]; -

403 int32_t f6 = f[6]; -

404 int32_t f7 = f[7]; -

405 int32_t f8 = f[8]; -

406 int32_t f9 = f[9]; -

407 int32_t f0_2 = 2 * f0; -

408 int32_t f1_2 = 2 * f1; -

409 int32_t f2_2 = 2 * f2; -

410 int32_t f3_2 = 2 * f3; -

411 int32_t f4_2 = 2 * f4; -

412 int32_t f5_2 = 2 * f5; -

413 int32_t f6_2 = 2 * f6; -

414 int32_t f7_2 = 2 * f7; -

415 int32_t f5_38 = 38 * f5; -

416 int32_t f6_19 = 19 * f6; -

417 int32_t f7_38 = 38 * f7; -

418 int32_t f8_19 = 19 * f8; -

419 int32_t f9_38 = 38 * f9; -

420 int64_t f0f0 = f0 * (int64_t) f0; -

421 int64_t f0f1_2 = f0_2 * (int64_t) f1; -

422 int64_t f0f2_2 = f0_2 * (int64_t) f2; -

423 int64_t f0f3_2 = f0_2 * (int64_t) f3; -

424 int64_t f0f4_2 = f0_2 * (int64_t) f4; -

425 int64_t f0f5_2 = f0_2 * (int64_t) f5; -

426 int64_t f0f6_2 = f0_2 * (int64_t) f6; -

427 int64_t f0f7_2 = f0_2 * (int64_t) f7; -

428 int64_t f0f8_2 = f0_2 * (int64_t) f8; -

429 int64_t f0f9_2 = f0_2 * (int64_t) f9; -

430 int64_t f1f1_2 = f1_2 * (int64_t) f1; -

431 int64_t f1f2_2 = f1_2 * (int64_t) f2; -

432 int64_t f1f3_4 = f1_2 * (int64_t) f3_2; -

433 int64_t f1f4_2 = f1_2 * (int64_t) f4; -

434 int64_t f1f5_4 = f1_2 * (int64_t) f5_2; -

435 int64_t f1f6_2 = f1_2 * (int64_t) f6; -

436 int64_t f1f7_4 = f1_2 * (int64_t) f7_2; -

437 int64_t f1f8_2 = f1_2 * (int64_t) f8; -

438 int64_t f1f9_76 = f1_2 * (int64_t) f9_38; -

439 int64_t f2f2 = f2 * (int64_t) f2; -

440 int64_t f2f3_2 = f2_2 * (int64_t) f3; -

441 int64_t f2f4_2 = f2_2 * (int64_t) f4; -

442 int64_t f2f5_2 = f2_2 * (int64_t) f5; -

443 int64_t f2f6_2 = f2_2 * (int64_t) f6; -

444 int64_t f2f7_2 = f2_2 * (int64_t) f7; -

445 int64_t f2f8_38 = f2_2 * (int64_t) f8_19; -

446 int64_t f2f9_38 = f2 * (int64_t) f9_38; -

447 int64_t f3f3_2 = f3_2 * (int64_t) f3; -

448 int64_t f3f4_2 = f3_2 * (int64_t) f4; -

449 int64_t f3f5_4 = f3_2 * (int64_t) f5_2; -

450 int64_t f3f6_2 = f3_2 * (int64_t) f6; -

451 int64_t f3f7_76 = f3_2 * (int64_t) f7_38; -

452 int64_t f3f8_38 = f3_2 * (int64_t) f8_19; -

453 int64_t f3f9_76 = f3_2 * (int64_t) f9_38; -

454 int64_t f4f4 = f4 * (int64_t) f4; -

455 int64_t f4f5_2 = f4_2 * (int64_t) f5; -

456 int64_t f4f6_38 = f4_2 * (int64_t) f6_19; -

457 int64_t f4f7_38 = f4 * (int64_t) f7_38; -

458 int64_t f4f8_38 = f4_2 * (int64_t) f8_19; -

459 int64_t f4f9_38 = f4 * (int64_t) f9_38; -

460 int64_t f5f5_38 = f5 * (int64_t) f5_38; -

461 int64_t f5f6_38 = f5_2 * (int64_t) f6_19; -

462 int64_t f5f7_76 = f5_2 * (int64_t) f7_38; -

463 int64_t f5f8_38 = f5_2 * (int64_t) f8_19; -

464 int64_t f5f9_76 = f5_2 * (int64_t) f9_38; -

465 int64_t f6f6_19 = f6 * (int64_t) f6_19; -

466 int64_t f6f7_38 = f6 * (int64_t) f7_38; -

467 int64_t f6f8_38 = f6_2 * (int64_t) f8_19; -

468 int64_t f6f9_38 = f6 * (int64_t) f9_38; -

469 int64_t f7f7_38 = f7 * (int64_t) f7_38; -

470 int64_t f7f8_38 = f7_2 * (int64_t) f8_19; -

471 int64_t f7f9_76 = f7_2 * (int64_t) f9_38; -

472 int64_t f8f8_19 = f8 * (int64_t) f8_19; -

473 int64_t f8f9_38 = f8 * (int64_t) f9_38; -

474 int64_t f9f9_38 = f9 * (int64_t) f9_38; -

475 int64_t h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; -

476 int64_t h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; -

477 int64_t h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; -

478 int64_t h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; -

479 int64_t h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; -

480 int64_t h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; -

481 int64_t h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; -

482 int64_t h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; -

483 int64_t h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; -

484 int64_t h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; -

485 int64_t carry0; -

486 int64_t carry1; -

487 int64_t carry2; -

488 int64_t carry3; -

489 int64_t carry4; -

490 int64_t carry5; -

491 int64_t carry6; -

492 int64_t carry7; -

493 int64_t carry8; -

494 int64_t carry9; -

495 -

496 carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits; -

497 carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits; -

498 -

499 carry1 = h1 + (1 << 24); h2 += carry1 >> 25; h1 -= carry1 & kTop39Bits; -

500 carry5 = h5 + (1 << 24); h6 += carry5 >> 25; h5 -= carry5 & kTop39Bits; -

501 -

502 carry2 = h2 + (1 << 25); h3 += carry2 >> 26; h2 -= carry2 & kTop38Bits; -

503 carry6 = h6 + (1 << 25); h7 += carry6 >> 26; h6 -= carry6 & kTop38Bits; -

504 -

505 carry3 = h3 + (1 << 24); h4 += carry3 >> 25; h3 -= carry3 & kTop39Bits; -

506 carry7 = h7 + (1 << 24); h8 += carry7 >> 25; h7 -= carry7 & kTop39Bits; -

507 -

508 carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits; -

509 carry8 = h8 + (1 << 25); h9 += carry8 >> 26; h8 -= carry8 & kTop38Bits; -

510 -

511 carry9 = h9 + (1 << 24); h0 += (carry9 >> 25) * 19; h9 -= carry9 & kTop39Bits; -

512 -

513 carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits; -

514 -

515 h[0] = h0; -

516 h[1] = h1; -

517 h[2] = h2; -

518 h[3] = h3; -

519 h[4] = h4; -

520 h[5] = h5; -

521 h[6] = h6; -

522 h[7] = h7; -

523 h[8] = h8; -

524 h[9] = h9; -

525

}

executed 1303302 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

1303302

526 -

527 static void fe_invert(fe out, const fe z) { -

528 fe t0; -

529 fe t1; -

530 fe t2; -

531 fe t3; -

532 int i; -

533 -

534 fe_sq(t0, z); -

535

for (i = 1; i < 1

i < 1	Description
TRUE	never evaluated
FALSE	evaluated 1023 times by 3 tests Evaluated by: ssltest tlstest x25519test

; ++i) {

0-1023

536 fe_sq(t0, t0); -

537

}

never executed: end of block

538 fe_sq(t1, t0); -

539

for (i = 1; i < 2

i < 2	Description
TRUE	evaluated 1023 times by 3 tests Evaluated by: ssltest tlstest x25519test
FALSE	evaluated 1023 times by 3 tests Evaluated by: ssltest tlstest x25519test

; ++i) {

1023

540 fe_sq(t1, t1); -

541

}

executed 1023 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

1023

542 fe_mul(t1, z, t1); -

543 fe_mul(t0, t0, t1); -

544 fe_sq(t2, t0); -

545

for (i = 1; i < 1

i < 1	Description
TRUE	never evaluated
FALSE	evaluated 1023 times by 3 tests Evaluated by: ssltest tlstest x25519test

; ++i) {

0-1023

546 fe_sq(t2, t2); -

547

}

never executed: end of block

548 fe_mul(t1, t1, t2); -

549 fe_sq(t2, t1); -

550

for (i = 1; i < 5

i < 5	Description
TRUE	evaluated 4092 times by 3 tests Evaluated by: ssltest tlstest x25519test
FALSE	evaluated 1023 times by 3 tests Evaluated by: ssltest tlstest x25519test

; ++i) {

1023-4092

551 fe_sq(t2, t2); -

552

}

executed 4092 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

4092

553 fe_mul(t1, t2, t1); -

554 fe_sq(t2, t1); -

555

for (i = 1; i < 10

i < 10	Description
TRUE	evaluated 9207 times by 3 tests Evaluated by: ssltest tlstest x25519test
FALSE	evaluated 1023 times by 3 tests Evaluated by: ssltest tlstest x25519test

; ++i) {

1023-9207

556 fe_sq(t2, t2); -

557

}

executed 9207 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

9207

558 fe_mul(t2, t2, t1); -

559 fe_sq(t3, t2); -

560

for (i = 1; i < 20

i < 20	Description
TRUE	evaluated 19437 times by 3 tests Evaluated by: ssltest tlstest x25519test
FALSE	evaluated 1023 times by 3 tests Evaluated by: ssltest tlstest x25519test

; ++i) {

1023-19437

561 fe_sq(t3, t3); -

562

}

executed 19437 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

19437

563 fe_mul(t2, t3, t2); -

564 fe_sq(t2, t2); -

565

for (i = 1; i < 10

i < 10	Description
TRUE	evaluated 9207 times by 3 tests Evaluated by: ssltest tlstest x25519test
FALSE	evaluated 1023 times by 3 tests Evaluated by: ssltest tlstest x25519test

; ++i) {

1023-9207

566 fe_sq(t2, t2); -

567

}

executed 9207 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

9207

568 fe_mul(t1, t2, t1); -

569 fe_sq(t2, t1); -

570

for (i = 1; i < 50

i < 50	Description
TRUE	evaluated 50127 times by 3 tests Evaluated by: ssltest tlstest x25519test
FALSE	evaluated 1023 times by 3 tests Evaluated by: ssltest tlstest x25519test

; ++i) {

1023-50127

571 fe_sq(t2, t2); -

572

}

executed 50127 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

50127

573 fe_mul(t2, t2, t1); -

574 fe_sq(t3, t2); -

575

for (i = 1; i < 100

i < 100	Description
TRUE	evaluated 101277 times by 3 tests Evaluated by: ssltest tlstest x25519test
FALSE	evaluated 1023 times by 3 tests Evaluated by: ssltest tlstest x25519test

; ++i) {

1023-101277

576 fe_sq(t3, t3); -

577

}

executed 101277 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

101277

578 fe_mul(t2, t3, t2); -

579 fe_sq(t2, t2); -

580

for (i = 1; i < 50

i < 50	Description
TRUE	evaluated 50127 times by 3 tests Evaluated by: ssltest tlstest x25519test
FALSE	evaluated 1023 times by 3 tests Evaluated by: ssltest tlstest x25519test

; ++i) {

1023-50127

581 fe_sq(t2, t2); -

582

}

executed 50127 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

50127

583 fe_mul(t1, t2, t1); -

584 fe_sq(t1, t1); -

585

for (i = 1; i < 5

i < 5	Description
TRUE	evaluated 4092 times by 3 tests Evaluated by: ssltest tlstest x25519test
FALSE	evaluated 1023 times by 3 tests Evaluated by: ssltest tlstest x25519test

; ++i) {

1023-4092

586 fe_sq(t1, t1); -

587

}

executed 4092 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

4092

588 fe_mul(out, t1, t0); -

589

}

executed 1023 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

1023

590 static void fe_neg(fe h, const fe f) { -

591 unsigned i; -

592

for (i = 0; i < 10

i < 10	Description
TRUE	never evaluated
FALSE	never evaluated

; i++) {

593 h[i] = -f[i]; -

594

}

never executed: end of block

595

}

never executed: end of block

596 -

597 -

598 -

599 -

600 -

601 static void fe_cmov(fe f, const fe g, unsigned b) { -

602 b = 0-b; -

603 unsigned i; -

604

for (i = 0; i < 10

i < 10	Description
TRUE	never evaluated
FALSE	never evaluated

; i++) {

605 int32_t x = f[i] ^ g[i]; -

606 x &= b; -

607 f[i] ^= x; -

608

}

never executed: end of block

609

}

never executed: end of block

610 -

611 -

612 -

613 -

614 -

615 -

616 static int fe_isnonzero(const fe f) { -

617 uint8_t s[32]; -

618 fe_tobytes(s, f); -

619 -

620 static const uint8_t zero[32] = {0}; -

621

return

never executed: return timingsafe_memcmp(s, zero, sizeof(zero)) != 0;

timingsafe_memcmp(s, zero, sizeof(zero)) != 0;

never executed: return timingsafe_memcmp(s, zero, sizeof(zero)) != 0;

622 } -

623 -

624 -

625 -

626 -

627 -

628 -

629 static int fe_isnegative(const fe f) { -

630 uint8_t s[32]; -

631 fe_tobytes(s, f); -

632

return

never executed: return s[0] & 1;

s[0] & 1;

never executed: return s[0] & 1;

633 } -

634 static void fe_sq2(fe h, const fe f) { -

635 int32_t f0 = f[0]; -

636 int32_t f1 = f[1]; -

637 int32_t f2 = f[2]; -

638 int32_t f3 = f[3]; -

639 int32_t f4 = f[4]; -

640 int32_t f5 = f[5]; -

641 int32_t f6 = f[6]; -

642 int32_t f7 = f[7]; -

643 int32_t f8 = f[8]; -

644 int32_t f9 = f[9]; -

645 int32_t f0_2 = 2 * f0; -

646 int32_t f1_2 = 2 * f1; -

647 int32_t f2_2 = 2 * f2; -

648 int32_t f3_2 = 2 * f3; -

649 int32_t f4_2 = 2 * f4; -

650 int32_t f5_2 = 2 * f5; -

651 int32_t f6_2 = 2 * f6; -

652 int32_t f7_2 = 2 * f7; -

653 int32_t f5_38 = 38 * f5; -

654 int32_t f6_19 = 19 * f6; -

655 int32_t f7_38 = 38 * f7; -

656 int32_t f8_19 = 19 * f8; -

657 int32_t f9_38 = 38 * f9; -

658 int64_t f0f0 = f0 * (int64_t) f0; -

659 int64_t f0f1_2 = f0_2 * (int64_t) f1; -

660 int64_t f0f2_2 = f0_2 * (int64_t) f2; -

661 int64_t f0f3_2 = f0_2 * (int64_t) f3; -

662 int64_t f0f4_2 = f0_2 * (int64_t) f4; -

663 int64_t f0f5_2 = f0_2 * (int64_t) f5; -

664 int64_t f0f6_2 = f0_2 * (int64_t) f6; -

665 int64_t f0f7_2 = f0_2 * (int64_t) f7; -

666 int64_t f0f8_2 = f0_2 * (int64_t) f8; -

667 int64_t f0f9_2 = f0_2 * (int64_t) f9; -

668 int64_t f1f1_2 = f1_2 * (int64_t) f1; -

669 int64_t f1f2_2 = f1_2 * (int64_t) f2; -

670 int64_t f1f3_4 = f1_2 * (int64_t) f3_2; -

671 int64_t f1f4_2 = f1_2 * (int64_t) f4; -

672 int64_t f1f5_4 = f1_2 * (int64_t) f5_2; -

673 int64_t f1f6_2 = f1_2 * (int64_t) f6; -

674 int64_t f1f7_4 = f1_2 * (int64_t) f7_2; -

675 int64_t f1f8_2 = f1_2 * (int64_t) f8; -

676 int64_t f1f9_76 = f1_2 * (int64_t) f9_38; -

677 int64_t f2f2 = f2 * (int64_t) f2; -

678 int64_t f2f3_2 = f2_2 * (int64_t) f3; -

679 int64_t f2f4_2 = f2_2 * (int64_t) f4; -

680 int64_t f2f5_2 = f2_2 * (int64_t) f5; -

681 int64_t f2f6_2 = f2_2 * (int64_t) f6; -

682 int64_t f2f7_2 = f2_2 * (int64_t) f7; -

683 int64_t f2f8_38 = f2_2 * (int64_t) f8_19; -

684 int64_t f2f9_38 = f2 * (int64_t) f9_38; -

685 int64_t f3f3_2 = f3_2 * (int64_t) f3; -

686 int64_t f3f4_2 = f3_2 * (int64_t) f4; -

687 int64_t f3f5_4 = f3_2 * (int64_t) f5_2; -

688 int64_t f3f6_2 = f3_2 * (int64_t) f6; -

689 int64_t f3f7_76 = f3_2 * (int64_t) f7_38; -

690 int64_t f3f8_38 = f3_2 * (int64_t) f8_19; -

691 int64_t f3f9_76 = f3_2 * (int64_t) f9_38; -

692 int64_t f4f4 = f4 * (int64_t) f4; -

693 int64_t f4f5_2 = f4_2 * (int64_t) f5; -

694 int64_t f4f6_38 = f4_2 * (int64_t) f6_19; -

695 int64_t f4f7_38 = f4 * (int64_t) f7_38; -

696 int64_t f4f8_38 = f4_2 * (int64_t) f8_19; -

697 int64_t f4f9_38 = f4 * (int64_t) f9_38; -

698 int64_t f5f5_38 = f5 * (int64_t) f5_38; -

699 int64_t f5f6_38 = f5_2 * (int64_t) f6_19; -

700 int64_t f5f7_76 = f5_2 * (int64_t) f7_38; -

701 int64_t f5f8_38 = f5_2 * (int64_t) f8_19; -

702 int64_t f5f9_76 = f5_2 * (int64_t) f9_38; -

703 int64_t f6f6_19 = f6 * (int64_t) f6_19; -

704 int64_t f6f7_38 = f6 * (int64_t) f7_38; -

705 int64_t f6f8_38 = f6_2 * (int64_t) f8_19; -

706 int64_t f6f9_38 = f6 * (int64_t) f9_38; -

707 int64_t f7f7_38 = f7 * (int64_t) f7_38; -

708 int64_t f7f8_38 = f7_2 * (int64_t) f8_19; -

709 int64_t f7f9_76 = f7_2 * (int64_t) f9_38; -

710 int64_t f8f8_19 = f8 * (int64_t) f8_19; -

711 int64_t f8f9_38 = f8 * (int64_t) f9_38; -

712 int64_t f9f9_38 = f9 * (int64_t) f9_38; -

713 int64_t h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; -

714 int64_t h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; -

715 int64_t h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; -

716 int64_t h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; -

717 int64_t h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; -

718 int64_t h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; -

719 int64_t h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; -

720 int64_t h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; -

721 int64_t h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; -

722 int64_t h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; -

723 int64_t carry0; -

724 int64_t carry1; -

725 int64_t carry2; -

726 int64_t carry3; -

727 int64_t carry4; -

728 int64_t carry5; -

729 int64_t carry6; -

730 int64_t carry7; -

731 int64_t carry8; -

732 int64_t carry9; -

733 -

734 h0 += h0; -

735 h1 += h1; -

736 h2 += h2; -

737 h3 += h3; -

738 h4 += h4; -

739 h5 += h5; -

740 h6 += h6; -

741 h7 += h7; -

742 h8 += h8; -

743 h9 += h9; -

744 -

745 carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits; -

746 carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits; -

747 -

748 carry1 = h1 + (1 << 24); h2 += carry1 >> 25; h1 -= carry1 & kTop39Bits; -

749 carry5 = h5 + (1 << 24); h6 += carry5 >> 25; h5 -= carry5 & kTop39Bits; -

750 -

751 carry2 = h2 + (1 << 25); h3 += carry2 >> 26; h2 -= carry2 & kTop38Bits; -

752 carry6 = h6 + (1 << 25); h7 += carry6 >> 26; h6 -= carry6 & kTop38Bits; -

753 -

754 carry3 = h3 + (1 << 24); h4 += carry3 >> 25; h3 -= carry3 & kTop39Bits; -

755 carry7 = h7 + (1 << 24); h8 += carry7 >> 25; h7 -= carry7 & kTop39Bits; -

756 -

757 carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits; -

758 carry8 = h8 + (1 << 25); h9 += carry8 >> 26; h8 -= carry8 & kTop38Bits; -

759 -

760 carry9 = h9 + (1 << 24); h0 += (carry9 >> 25) * 19; h9 -= carry9 & kTop39Bits; -

761 -

762 carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits; -

763 -

764 h[0] = h0; -

765 h[1] = h1; -

766 h[2] = h2; -

767 h[3] = h3; -

768 h[4] = h4; -

769 h[5] = h5; -

770 h[6] = h6; -

771 h[7] = h7; -

772 h[8] = h8; -

773 h[9] = h9; -

774

}

never executed: end of block

775 -

776 static void fe_pow22523(fe out, const fe z) { -

777 fe t0; -

778 fe t1; -

779 fe t2; -

780 int i; -

781 -

782 fe_sq(t0, z); -

783

for (i = 1; i < 1

i < 1	Description
TRUE	never evaluated
FALSE	never evaluated

; ++i) {

784 fe_sq(t0, t0); -

785

}

never executed: end of block

786 fe_sq(t1, t0); -

787

for (i = 1; i < 2

i < 2	Description
TRUE	never evaluated
FALSE	never evaluated

; ++i) {

788 fe_sq(t1, t1); -

789

}

never executed: end of block

790 fe_mul(t1, z, t1); -

791 fe_mul(t0, t0, t1); -

792 fe_sq(t0, t0); -

793

for (i = 1; i < 1

i < 1	Description
TRUE	never evaluated
FALSE	never evaluated

; ++i) {

794 fe_sq(t0, t0); -

795

}

never executed: end of block

796 fe_mul(t0, t1, t0); -

797 fe_sq(t1, t0); -

798

for (i = 1; i < 5

i < 5	Description
TRUE	never evaluated
FALSE	never evaluated

; ++i) {

799 fe_sq(t1, t1); -

800

}

never executed: end of block

801 fe_mul(t0, t1, t0); -

802 fe_sq(t1, t0); -

803

for (i = 1; i < 10

i < 10	Description
TRUE	never evaluated
FALSE	never evaluated

; ++i) {

804 fe_sq(t1, t1); -

805

}

never executed: end of block

806 fe_mul(t1, t1, t0); -

807 fe_sq(t2, t1); -

808

for (i = 1; i < 20

i < 20	Description
TRUE	never evaluated
FALSE	never evaluated

; ++i) {

809 fe_sq(t2, t2); -

810

}

never executed: end of block

811 fe_mul(t1, t2, t1); -

812 fe_sq(t1, t1); -

813

for (i = 1; i < 10

i < 10	Description
TRUE	never evaluated
FALSE	never evaluated

; ++i) {

814 fe_sq(t1, t1); -

815

}

never executed: end of block

816 fe_mul(t0, t1, t0); -

817 fe_sq(t1, t0); -

818

for (i = 1; i < 50

i < 50	Description
TRUE	never evaluated
FALSE	never evaluated

; ++i) {

819 fe_sq(t1, t1); -

820

}

never executed: end of block

821 fe_mul(t1, t1, t0); -

822 fe_sq(t2, t1); -

823

for (i = 1; i < 100

i < 100	Description
TRUE	never evaluated
FALSE	never evaluated

; ++i) {

824 fe_sq(t2, t2); -

825

}

never executed: end of block

826 fe_mul(t1, t2, t1); -

827 fe_sq(t1, t1); -

828

for (i = 1; i < 50

i < 50	Description
TRUE	never evaluated
FALSE	never evaluated

; ++i) {

829 fe_sq(t1, t1); -

830

}

never executed: end of block

831 fe_mul(t0, t1, t0); -

832 fe_sq(t0, t0); -

833

for (i = 1; i < 2

i < 2	Description
TRUE	never evaluated
FALSE	never evaluated

; ++i) {

834 fe_sq(t0, t0); -

835

}

never executed: end of block

836 fe_mul(out, t0, z); -

837

}

never executed: end of block

838 -

839 void x25519_ge_tobytes(uint8_t *s, const ge_p2 *h) { -

840 fe recip; -

841 fe x; -

842 fe y; -

843 -

844 fe_invert(recip, h->Z); -

845 fe_mul(x, h->X, recip); -

846 fe_mul(y, h->Y, recip); -

847 fe_tobytes(s, y); -

848 s[31] ^= fe_isnegative(x) << 7; -

849

}

never executed: end of block

850 static const fe d = {-10913610, 13857413, -15372611, 6949391, 114729, -

851 -8787816, -6275908, -3247719, -18696448, -12055116}; -

852 -

853 static const fe sqrtm1 = {-32595792, -7943725, 9377950, 3500415, 12389472, -

854 -272473, -25146209, -2005654, 326686, 11406482}; -

855 -

856 int x25519_ge_frombytes_vartime(ge_p3 *h, const uint8_t *s) { -

857 fe u; -

858 fe v; -

859 fe v3; -

860 fe vxx; -

861 fe check; -

862 -

863 fe_frombytes(h->Y, s); -

864 fe_1(h->Z); -

865 fe_sq(u, h->Y); -

866 fe_mul(v, u, d); -

867 fe_sub(u, u, h->Z); -

868 fe_add(v, v, h->Z); -

869 -

870 fe_sq(v3, v); -

871 fe_mul(v3, v3, v); -

872 fe_sq(h->X, v3); -

873 fe_mul(h->X, h->X, v); -

874 fe_mul(h->X, h->X, u); -

875 -

876 fe_pow22523(h->X, h->X); -

877 fe_mul(h->X, h->X, v3); -

878 fe_mul(h->X, h->X, u); -

879 -

880 fe_sq(vxx, h->X); -

881 fe_mul(vxx, vxx, v); -

882 fe_sub(check, vxx, u); -

883

if (fe_isnonzero(check)

fe_isnonzero(check)	Description
TRUE	never evaluated
FALSE	never evaluated

) {

884 fe_add(check, vxx, u); -

885

if (fe_isnonzero(check)

fe_isnonzero(check)	Description
TRUE	never evaluated
FALSE	never evaluated

) {

886

return

never executed: return -1;

-1;

never executed: return -1;

887 } -

888 fe_mul(h->X, h->X, sqrtm1); -

889

}

never executed: end of block

890 -

891

if (fe_isnegative(h->X) != (s[31] >> 7)

fe_isnegative(...= (s[31] >> 7)	Description
TRUE	never evaluated
FALSE	never evaluated

) {

892 fe_neg(h->X, h->X); -

893

}

never executed: end of block

894 -

895 fe_mul(h->T, h->X, h->Y); -

896

return

never executed: return 0;

897 } -

898 -

899 static void ge_p2_0(ge_p2 *h) { -

900 fe_0(h->X); -

901 fe_1(h->Y); -

902 fe_1(h->Z); -

903

}

never executed: end of block

904 -

905 static void ge_p3_0(ge_p3 *h) { -

906 fe_0(h->X); -

907 fe_1(h->Y); -

908 fe_1(h->Z); -

909 fe_0(h->T); -

910

}

never executed: end of block

911 -

912 static void ge_cached_0(ge_cached *h) { -

913 fe_1(h->YplusX); -

914 fe_1(h->YminusX); -

915 fe_1(h->Z); -

916 fe_0(h->T2d); -

917

}

never executed: end of block

918 -

919 static void ge_precomp_0(ge_precomp *h) { -

920 fe_1(h->yplusx); -

921 fe_1(h->yminusx); -

922 fe_0(h->xy2d); -

923

}

never executed: end of block

924 -

925 -

926 static void ge_p3_to_p2(ge_p2 *r, const ge_p3 *p) { -

927 fe_copy(r->X, p->X); -

928 fe_copy(r->Y, p->Y); -

929 fe_copy(r->Z, p->Z); -

930

}

never executed: end of block

931 -

932 static const fe d2 = {-21827239, -5839606, -30745221, 13898782, 229458, -

933 15978800, -12551817, -6495438, 29715968, 9444199}; -

934 -

935 -

936 void x25519_ge_p3_to_cached(ge_cached *r, const ge_p3 *p) { -

937 fe_add(r->YplusX, p->Y, p->X); -

938 fe_sub(r->YminusX, p->Y, p->X); -

939 fe_copy(r->Z, p->Z); -

940 fe_mul(r->T2d, p->T, d2); -

941

}

never executed: end of block

942 -

943 -

944 void x25519_ge_p1p1_to_p2(ge_p2 *r, const ge_p1p1 *p) { -

945 fe_mul(r->X, p->X, p->T); -

946 fe_mul(r->Y, p->Y, p->Z); -

947 fe_mul(r->Z, p->Z, p->T); -

948

}

never executed: end of block

949 -

950 -

951 void x25519_ge_p1p1_to_p3(ge_p3 *r, const ge_p1p1 *p) { -

952 fe_mul(r->X, p->X, p->T); -

953 fe_mul(r->Y, p->Y, p->Z); -

954 fe_mul(r->Z, p->Z, p->T); -

955 fe_mul(r->T, p->X, p->Y); -

956

}

never executed: end of block

957 -

958 -

959 static void ge_p1p1_to_cached(ge_cached *r, const ge_p1p1 *p) { -

960 ge_p3 t; -

961 x25519_ge_p1p1_to_p3(&t, p); -

962 x25519_ge_p3_to_cached(r, &t); -

963

}

never executed: end of block

964 -

965 -

966 static void ge_p2_dbl(ge_p1p1 *r, const ge_p2 *p) { -

967 fe t0; -

968 -

969 fe_sq(r->X, p->X); -

970 fe_sq(r->Z, p->Y); -

971 fe_sq2(r->T, p->Z); -

972 fe_add(r->Y, p->X, p->Y); -

973 fe_sq(t0, r->Y); -

974 fe_add(r->Y, r->Z, r->X); -

975 fe_sub(r->Z, r->Z, r->X); -

976 fe_sub(r->X, t0, r->Y); -

977 fe_sub(r->T, r->T, r->Z); -

978

}

never executed: end of block

979 -

980 -

981 static void ge_p3_dbl(ge_p1p1 *r, const ge_p3 *p) { -

982 ge_p2 q; -

983 ge_p3_to_p2(&q, p); -

984 ge_p2_dbl(r, &q); -

985

}

never executed: end of block

986 -

987 -

988 static void ge_madd(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q) { -

989 fe t0; -

990 -

991 fe_add(r->X, p->Y, p->X); -

992 fe_sub(r->Y, p->Y, p->X); -

993 fe_mul(r->Z, r->X, q->yplusx); -

994 fe_mul(r->Y, r->Y, q->yminusx); -

995 fe_mul(r->T, q->xy2d, p->T); -

996 fe_add(t0, p->Z, p->Z); -

997 fe_sub(r->X, r->Z, r->Y); -

998 fe_add(r->Y, r->Z, r->Y); -

999 fe_add(r->Z, t0, r->T); -

1000 fe_sub(r->T, t0, r->T); -

1001

}

never executed: end of block

1002 void x25519_ge_add(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q) { -

1003 fe t0; -

1004 -

1005 fe_add(r->X, p->Y, p->X); -

1006 fe_sub(r->Y, p->Y, p->X); -

1007 fe_mul(r->Z, r->X, q->YplusX); -

1008 fe_mul(r->Y, r->Y, q->YminusX); -

1009 fe_mul(r->T, q->T2d, p->T); -

1010 fe_mul(r->X, p->Z, q->Z); -

1011 fe_add(t0, r->X, r->X); -

1012 fe_sub(r->X, r->Z, r->Y); -

1013 fe_add(r->Y, r->Z, r->Y); -

1014 fe_add(r->Z, t0, r->T); -

1015 fe_sub(r->T, t0, r->T); -

1016

}

never executed: end of block

1017 -

1018 -

1019 void x25519_ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q) { -

1020 fe t0; -

1021 -

1022 fe_add(r->X, p->Y, p->X); -

1023 fe_sub(r->Y, p->Y, p->X); -

1024 fe_mul(r->Z, r->X, q->YminusX); -

1025 fe_mul(r->Y, r->Y, q->YplusX); -

1026 fe_mul(r->T, q->T2d, p->T); -

1027 fe_mul(r->X, p->Z, q->Z); -

1028 fe_add(t0, r->X, r->X); -

1029 fe_sub(r->X, r->Z, r->Y); -

1030 fe_add(r->Y, r->Z, r->Y); -

1031 fe_sub(r->Z, t0, r->T); -

1032 fe_add(r->T, t0, r->T); -

1033

}

never executed: end of block

1034 -

1035 static uint8_t equal(signed char b, signed char c) { -

1036 uint8_t ub = b; -

1037 uint8_t uc = c; -

1038 uint8_t x = ub ^ uc; -

1039 uint32_t y = x; -

1040 y -= 1; -

1041 y >>= 31; -

1042

return

never executed: return y;

1043 } -

1044 -

1045 static void cmov(ge_precomp *t, const ge_precomp *u, uint8_t b) { -

1046 fe_cmov(t->yplusx, u->yplusx, b); -

1047 fe_cmov(t->yminusx, u->yminusx, b); -

1048 fe_cmov(t->xy2d, u->xy2d, b); -

1049

}

never executed: end of block

1050 -

1051 void x25519_ge_scalarmult_small_precomp( -

1052 ge_p3 *h, const uint8_t a[32], const uint8_t precomp_table[15 * 2 * 32]) { -

1053 -

1054 -

1055 ge_precomp multiples[15]; -

1056 -

1057 unsigned i; -

1058

for (i = 0; i < 15

i < 15	Description
TRUE	never evaluated
FALSE	never evaluated

; i++) {

1059 const uint8_t *bytes = &precomp_table[i*(2 * 32)]; -

1060 fe x, y; -

1061 fe_frombytes(x, bytes); -

1062 fe_frombytes(y, bytes + 32); -

1063 -

1064 ge_precomp *out = &multiples[i]; -

1065 fe_add(out->yplusx, y, x); -

1066 fe_sub(out->yminusx, y, x); -

1067 fe_mul(out->xy2d, x, y); -

1068 fe_mul(out->xy2d, out->xy2d, d2); -

1069

}

never executed: end of block

1070 -

1071 -

1072 -

1073 -

1074 ge_p3_0(h); -

1075 -

1076

for (i = 63; i < 64

i < 64	Description
TRUE	never evaluated
FALSE	never evaluated

; i--) {

1077 unsigned j; -

1078 signed char index = 0; -

1079 -

1080

for (j = 0; j < 4

j < 4	Description
TRUE	never evaluated
FALSE	never evaluated

; j++) {

1081 const uint8_t bit = 1 & (a[(8 * j) + (i / 8)] >> (i & 7)); -

1082 index |= (bit << j); -

1083

}

never executed: end of block

1084 -

1085 ge_precomp e; -

1086 ge_precomp_0(&e); -

1087 -

1088

for (j = 1; j < 16

j < 16	Description
TRUE	never evaluated
FALSE	never evaluated

; j++) {

1089 cmov(&e, &multiples[j-1], equal(index, j)); -

1090

}

never executed: end of block

1091 -

1092 ge_cached cached; -

1093 ge_p1p1 r; -

1094 x25519_ge_p3_to_cached(&cached, h); -

1095 x25519_ge_add(&r, h, &cached); -

1096 x25519_ge_p1p1_to_p3(h, &r); -

1097 -

1098 ge_madd(&r, h, &e); -

1099 x25519_ge_p1p1_to_p3(h, &r); -

1100

}

never executed: end of block

1101

}

never executed: end of block

1102 static const ge_precomp k25519Precomp[32][8] = { -

1103 { -

1104 { -

1105 {25967493, -14356035, 29566456, 3660896, -12694345, 4014787, -

1106 27544626, -11754271, -6079156, 2047605}, -

1107 {-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, -

1108 5043384, 19500929, -15469378}, -

1109 {-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, -

1110 29287919, 11864899, -24514362, -4438546}, -

1111 }, -

1112 { -

1113 {-12815894, -12976347, -21581243, 11784320, -25355658, -2750717, -

1114 -11717903, -3814571, -358445, -10211303}, -

1115 {-21703237, 6903825, 27185491, 6451973, -29577724, -9554005, -

1116 -15616551, 11189268, -26829678, -5319081}, -

1117 {26966642, 11152617, 32442495, 15396054, 14353839, -12752335, -

1118 -3128826, -9541118, -15472047, -4166697}, -

1119 }, -

1120 { -

1121 {15636291, -9688557, 24204773, -7912398, 616977, -16685262, -

1122 27787600, -14772189, 28944400, -1550024}, -

1123 {16568933, 4717097, -11556148, -1102322, 15682896, -11807043, -

1124 16354577, -11775962, 7689662, 11199574}, -

1125 {30464156, -5976125, -11779434, -15670865, 23220365, 15915852, -

1126 7512774, 10017326, -17749093, -9920357}, -

1127 }, -

1128 { -

1129 {-17036878, 13921892, 10945806, -6033431, 27105052, -16084379, -

1130 -28926210, 15006023, 3284568, -6276540}, -

1131 {23599295, -8306047, -11193664, -7687416, 13236774, 10506355, -

1132 7464579, 9656445, 13059162, 10374397}, -

1133 {7798556, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, -

1134 -3839045, -641708, -101325}, -

1135 }, -

1136 { -

1137 {10861363, 11473154, 27284546, 1981175, -30064349, 12577861, -

1138 32867885, 14515107, -15438304, 10819380}, -

1139 {4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, -

1140 12483688, -12668491, 5581306}, -

1141 {19563160, 16186464, -29386857, 4097519, 10237984, -4348115, -

1142 28542350, 13850243, -23678021, -15815942}, -

1143 }, -

1144 { -

1145 {-15371964, -12862754, 32573250, 4720197, -26436522, 5875511, -

1146 -19188627, -15224819, -9818940, -12085777}, -

1147 {-8549212, 109983, 15149363, 2178705, 22900618, 4543417, 3044240, -

1148 -15689887, 1762328, 14866737}, -

1149 {-18199695, -15951423, -10473290, 1707278, -17185920, 3916101, -

1150 -28236412, 3959421, 27914454, 4383652}, -

1151 }, -

1152 { -

1153 {5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, -

1154 5230134, -23952439, -15175766}, -

1155 {-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, -

1156 20654025, 16520125, 30598449, 7715701}, -

1157 {28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -

1158 -31400660, 1370708, 29794553, -1409300}, -

1159 }, -

1160 { -

1161 {14499471, -2729599, -33191113, -4254652, 28494862, 14271267, -

1162 30290735, 10876454, -33154098, 2381726}, -

1163 {-7195431, -2655363, -14730155, 462251, -27724326, 3941372, -

1164 -6236617, 3696005, -32300832, 15351955}, -

1165 {27431194, 8222322, 16448760, -3907995, -18707002, 11938355, -

1166 -32961401, -2970515, 29551813, 10109425}, -

1167 }, -

1168 }, -

1169 { -

1170 { -

1171 {-13657040, -13155431, -31283750, 11777098, 21447386, 6519384, -

1172 -2378284, -1627556, 10092783, -4764171}, -

1173 {27939166, 14210322, 4677035, 16277044, -22964462, -12398139, -

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1897 {-19025756, 1632005, 13466291, -7995100, -23640451, 16573537, -

1898 -32013908, -3057104, 22208662, 2000468}, -

1899 {3065073, -1412761, -25598674, -361432, -17683065, -5703415, -

1900 -8164212, 11248527, -3691214, -7414184}, -

1901 {10379208, -6045554, 8877319, 1473647, -29291284, -12507580, -

1902 16690915, 2553332, -3132688, 16400289}, -

1903 }, -

1904 { -

1905 {15716668, 1254266, -18472690, 7446274, -8448918, 6344164, -

1906 -22097271, -7285580, 26894937, 9132066}, -

1907 {24158887, 12938817, 11085297, -8177598, -28063478, -4457083, -

1908 -30576463, 64452, -6817084, -2692882}, -

1909 {13488534, 7794716, 22236231, 5989356, 25426474, -12578208, 2350710, -

1910 -3418511, -4688006, 2364226}, -

1911 }, -

1912 { -

1913 {16335052, 9132434, 25640582, 6678888, 1725628, 8517937, -11807024, -

1914 -11697457, 15445875, -7798101}, -

1915 {29004207, -7867081, 28661402, -640412, -12794003, -7943086, -

1916 31863255, -4135540, -278050, -15759279}, -

1917 {-6122061, -14866665, -28614905, 14569919, -10857999, -3591829, -

1918 10343412, -6976290, -29828287, -10815811}, -

1919 }, -

1920 { -

1921 {27081650, 3463984, 14099042, -4517604, 1616303, -6205604, 29542636, -

1922 15372179, 17293797, 960709}, -

1923 {20263915, 11434237, -5765435, 11236810, 13505955, -10857102, -

1924 -16111345, 6493122, -19384511, 7639714}, -

1925 {-2830798, -14839232, 25403038, -8215196, -8317012, -16173699, -

1926 18006287, -16043750, 29994677, -15808121}, -

1927 }, -

1928 { -

1929 {9769828, 5202651, -24157398, -13631392, -28051003, -11561624, -

1930 -24613141, -13860782, -31184575, 709464}, -

1931 {12286395, 13076066, -21775189, -1176622, -25003198, 4057652, -

1932 -32018128, -8890874, 16102007, 13205847}, -

1933 {13733362, 5599946, 10557076, 3195751, -5557991, 8536970, -25540170, -

1934 8525972, 10151379, 10394400}, -

1935 }, -

1936 { -

1937 {4024660, -16137551, 22436262, 12276534, -9099015, -2686099, -

1938 19698229, 11743039, -33302334, 8934414}, -

1939 {-15879800, -4525240, -8580747, -2934061, 14634845, -698278, -

1940 -9449077, 3137094, -11536886, 11721158}, -

1941 {17555939, -5013938, 8268606, 2331751, -22738815, 9761013, 9319229, -

1942 8835153, -9205489, -1280045}, -

1943 }, -

1944 { -

1945 {-461409, -7830014, 20614118, 16688288, -7514766, -4807119, -

1946 22300304, 505429, 6108462, -6183415}, -

1947 {-5070281, 12367917, -30663534, 3234473, 32617080, -8422642, -

1948 29880583, -13483331, -26898490, -7867459}, -

1949 {-31975283, 5726539, 26934134, 10237677, -3173717, -605053, -

1950 24199304, 3795095, 7592688, -14992079}, -

1951 }, -

1952 { -

1953 {21594432, -14964228, 17466408, -4077222, 32537084, 2739898, -

1954 6407723, 12018833, -28256052, 4298412}, -

1955 {-20650503, -11961496, -27236275, 570498, 3767144, -1717540, -

1956 13891942, -1569194, 13717174, 10805743}, -

1957 {-14676630, -15644296, 15287174, 11927123, 24177847, -8175568, -

1958 -796431, 14860609, -26938930, -5863836}, -

1959 }, -

1960 }, -

1961 { -

1962 { -

1963 {12962541, 5311799, -10060768, 11658280, 18855286, -7954201, -

1964 13286263, -12808704, -4381056, 9882022}, -

1965 {18512079, 11319350, -20123124, 15090309, 18818594, 5271736, -

1966 -22727904, 3666879, -23967430, -3299429}, -

1967 {-6789020, -3146043, 16192429, 13241070, 15898607, -14206114, -

1968 -10084880, -6661110, -2403099, 5276065}, -

1969 }, -

1970 { -

1971 {30169808, -5317648, 26306206, -11750859, 27814964, 7069267, -

1972 7152851, 3684982, 1449224, 13082861}, -

1973 {10342826, 3098505, 2119311, 193222, 25702612, 12233820, 23697382, -

1974 15056736, -21016438, -8202000}, -

1975 {-33150110, 3261608, 22745853, 7948688, 19370557, -15177665, -

1976 -26171976, 6482814, -10300080, -11060101}, -

1977 }, -

1978 { -

1979 {32869458, -5408545, 25609743, 15678670, -10687769, -15471071, -

1980 26112421, 2521008, -22664288, 6904815}, -

1981 {29506923, 4457497, 3377935, -9796444, -30510046, 12935080, 1561737, -

1982 3841096, -29003639, -6657642}, -

1983 {10340844, -6630377, -18656632, -2278430, 12621151, -13339055, -

1984 30878497, -11824370, -25584551, 5181966}, -

1985 }, -

1986 { -

1987 {25940115, -12658025, 17324188, -10307374, -8671468, 15029094, -

1988 24396252, -16450922, -2322852, -12388574}, -

1989 {-21765684, 9916823, -1300409, 4079498, -1028346, 11909559, 1782390, -

1990 12641087, 20603771, -6561742}, -

1991 {-18882287, -11673380, 24849422, 11501709, 13161720, -4768874, -

1992 1925523, 11914390, 4662781, 7820689}, -

1993 }, -

1994 { -

1995 {12241050, -425982, 8132691, 9393934, 32846760, -1599620, 29749456, -

1996 12172924, 16136752, 15264020}, -

1997 {-10349955, -14680563, -8211979, 2330220, -17662549, -14545780, -

1998 10658213, 6671822, 19012087, 3772772}, -

1999 {3753511, -3421066, 10617074, 2028709, 14841030, -6721664, 28718732, -

2000 -15762884, 20527771, 12988982}, -

2001 }, -

2002 { -

2003 {-14822485, -5797269, -3707987, 12689773, -898983, -10914866, -

2004 -24183046, -10564943, 3299665, -12424953}, -

2005 {-16777703, -15253301, -9642417, 4978983, 3308785, 8755439, 6943197, -

2006 6461331, -25583147, 8991218}, -

2007 {-17226263, 1816362, -1673288, -6086439, 31783888, -8175991, -

2008 -32948145, 7417950, -30242287, 1507265}, -

2009 }, -

2010 { -

2011 {29692663, 6829891, -10498800, 4334896, 20945975, -11906496, -

2012 -28887608, 8209391, 14606362, -10647073}, -

2013 {-3481570, 8707081, 32188102, 5672294, 22096700, 1711240, -33020695, -

2014 9761487, 4170404, -2085325}, -

2015 {-11587470, 14855945, -4127778, -1531857, -26649089, 15084046, -

2016 22186522, 16002000, -14276837, -8400798}, -

2017 }, -

2018 { -

2019 {-4811456, 13761029, -31703877, -2483919, -3312471, 7869047, -

2020 -7113572, -9620092, 13240845, 10965870}, -

2021 {-7742563, -8256762, -14768334, -13656260, -23232383, 12387166, -

2022 4498947, 14147411, 29514390, 4302863}, -

2023 {-13413405, -12407859, 20757302, -13801832, 14785143, 8976368, -

2024 -5061276, -2144373, 17846988, -13971927}, -

2025 }, -

2026 }, -

2027 { -

2028 { -

2029 {-2244452, -754728, -4597030, -1066309, -6247172, 1455299, -

2030 -21647728, -9214789, -5222701, 12650267}, -

2031 {-9906797, -16070310, 21134160, 12198166, -27064575, 708126, 387813, -

2032 13770293, -19134326, 10958663}, -

2033 {22470984, 12369526, 23446014, -5441109, -21520802, -9698723, -

2034 -11772496, -11574455, -25083830, 4271862}, -

2035 }, -

2036 { -

2037 {-25169565, -10053642, -19909332, 15361595, -5984358, 2159192, -

2038 75375, -4278529, -32526221, 8469673}, -

2039 {15854970, 4148314, -8893890, 7259002, 11666551, 13824734, -

2040 -30531198, 2697372, 24154791, -9460943}, -

2041 {15446137, -15806644, 29759747, 14019369, 30811221, -9610191, -

2042 -31582008, 12840104, 24913809, 9815020}, -

2043 }, -

2044 { -

2045 {-4709286, -5614269, -31841498, -12288893, -14443537, 10799414, -

2046 -9103676, 13438769, 18735128, 9466238}, -

2047 {11933045, 9281483, 5081055, -5183824, -2628162, -4905629, -7727821, -

2048 -10896103, -22728655, 16199064}, -

2049 {14576810, 379472, -26786533, -8317236, -29426508, -10812974, -

2050 -102766, 1876699, 30801119, 2164795}, -

2051 }, -

2052 { -

2053 {15995086, 3199873, 13672555, 13712240, -19378835, -4647646, -

2054 -13081610, -15496269, -13492807, 1268052}, -

2055 {-10290614, -3659039, -3286592, 10948818, 23037027, 3794475, -

2056 -3470338, -12600221, -17055369, 3565904}, -

2057 {29210088, -9419337, -5919792, -4952785, 10834811, -13327726, -

2058 -16512102, -10820713, -27162222, -14030531}, -

2059 }, -

2060 { -

2061 {-13161890, 15508588, 16663704, -8156150, -28349942, 9019123, -

2062 -29183421, -3769423, 2244111, -14001979}, -

2063 {-5152875, -3800936, -9306475, -6071583, 16243069, 14684434, -

2064 -25673088, -16180800, 13491506, 4641841}, -

2065 {10813417, 643330, -19188515, -728916, 30292062, -16600078, -

2066 27548447, -7721242, 14476989, -12767431}, -

2067 }, -

2068 { -

2069 {10292079, 9984945, 6481436, 8279905, -7251514, 7032743, 27282937, -

2070 -1644259, -27912810, 12651324}, -

2071 {-31185513, -813383, 22271204, 11835308, 10201545, 15351028, -

2072 17099662, 3988035, 21721536, -3148940}, -

2073 {10202177, -6545839, -31373232, -9574638, -32150642, -8119683, -

2074 -12906320, 3852694, 13216206, 14842320}, -

2075 }, -

2076 { -

2077 {-15815640, -10601066, -6538952, -7258995, -6984659, -6581778, -

2078 -31500847, 13765824, -27434397, 9900184}, -

2079 {14465505, -13833331, -32133984, -14738873, -27443187, 12990492, -

2080 33046193, 15796406, -7051866, -8040114}, -

2081 {30924417, -8279620, 6359016, -12816335, 16508377, 9071735, -

2082 -25488601, 15413635, 9524356, -7018878}, -

2083 }, -

2084 { -

2085 {12274201, -13175547, 32627641, -1785326, 6736625, 13267305, -

2086 5237659, -5109483, 15663516, 4035784}, -

2087 {-2951309, 8903985, 17349946, 601635, -16432815, -4612556, -

2088 -13732739, -15889334, -22258478, 4659091}, -

2089 {-16916263, -4952973, -30393711, -15158821, 20774812, 15897498, -

2090 5736189, 15026997, -2178256, -13455585}, -

2091 }, -

2092 }, -

2093 { -

2094 { -

2095 {-8858980, -2219056, 28571666, -10155518, -474467, -10105698, -

2096 -3801496, 278095, 23440562, -290208}, -

2097 {10226241, -5928702, 15139956, 120818, -14867693, 5218603, 32937275, -

2098 11551483, -16571960, -7442864}, -

2099 {17932739, -12437276, -24039557, 10749060, 11316803, 7535897, -

2100 22503767, 5561594, -3646624, 3898661}, -

2101 }, -

2102 { -

2103 {7749907, -969567, -16339731, -16464, -25018111, 15122143, -1573531, -

2104 7152530, 21831162, 1245233}, -

2105 {26958459, -14658026, 4314586, 8346991, -5677764, 11960072, -

2106 -32589295, -620035, -30402091, -16716212}, -

2107 {-12165896, 9166947, 33491384, 13673479, 29787085, 13096535, -

2108 6280834, 14587357, -22338025, 13987525}, -

2109 }, -

2110 { -

2111 {-24349909, 7778775, 21116000, 15572597, -4833266, -5357778, -

2112 -4300898, -5124639, -7469781, -2858068}, -

2113 {9681908, -6737123, -31951644, 13591838, -6883821, 386950, 31622781, -

2114 6439245, -14581012, 4091397}, -

2115 {-8426427, 1470727, -28109679, -1596990, 3978627, -5123623, -

2116 -19622683, 12092163, 29077877, -14741988}, -

2117 }, -

2118 { -

2119 {5269168, -6859726, -13230211, -8020715, 25932563, 1763552, -

2120 -5606110, -5505881, -20017847, 2357889}, -

2121 {32264008, -15407652, -5387735, -1160093, -2091322, -3946900, -

2122 23104804, -12869908, 5727338, 189038}, -

2123 {14609123, -8954470, -6000566, -16622781, -14577387, -7743898, -

2124 -26745169, 10942115, -25888931, -14884697}, -

2125 }, -

2126 { -

2127 {20513500, 5557931, -15604613, 7829531, 26413943, -2019404, -

2128 -21378968, 7471781, 13913677, -5137875}, -

2129 {-25574376, 11967826, 29233242, 12948236, -6754465, 4713227, -

2130 -8940970, 14059180, 12878652, 8511905}, -

2131 {-25656801, 3393631, -2955415, -7075526, -2250709, 9366908, -

2132 -30223418, 6812974, 5568676, -3127656}, -

2133 }, -

2134 { -

2135 {11630004, 12144454, 2116339, 13606037, 27378885, 15676917, -

2136 -17408753, -13504373, -14395196, 8070818}, -

2137 {27117696, -10007378, -31282771, -5570088, 1127282, 12772488, -

2138 -29845906, 10483306, -11552749, -1028714}, -

2139 {10637467, -5688064, 5674781, 1072708, -26343588, -6982302, -

2140 -1683975, 9177853, -27493162, 15431203}, -

2141 }, -

2142 { -

2143 {20525145, 10892566, -12742472, 12779443, -29493034, 16150075, -

2144 -28240519, 14943142, -15056790, -7935931}, -

2145 {-30024462, 5626926, -551567, -9981087, 753598, 11981191, 25244767, -

2146 -3239766, -3356550, 9594024}, -

2147 {-23752644, 2636870, -5163910, -10103818, 585134, 7877383, 11345683, -

2148 -6492290, 13352335, -10977084}, -

2149 }, -

2150 { -

2151 {-1931799, -5407458, 3304649, -12884869, 17015806, -4877091, -

2152 -29783850, -7752482, -13215537, -319204}, -

2153 {20239939, 6607058, 6203985, 3483793, -18386976, -779229, -20723742, -

2154 15077870, -22750759, 14523817}, -

2155 {27406042, -6041657, 27423596, -4497394, 4996214, 10002360, -

2156 -28842031, -4545494, -30172742, -4805667}, -

2157 }, -

2158 }, -

2159 { -

2160 { -

2161 {11374242, 12660715, 17861383, -12540833, 10935568, 1099227, -

2162 -13886076, -9091740, -27727044, 11358504}, -

2163 {-12730809, 10311867, 1510375, 10778093, -2119455, -9145702, -

2164 32676003, 11149336, -26123651, 4985768}, -

2165 {-19096303, 341147, -6197485, -239033, 15756973, -8796662, -983043, -

2166 13794114, -19414307, -15621255}, -

2167 }, -

2168 { -

2169 {6490081, 11940286, 25495923, -7726360, 8668373, -8751316, 3367603, -

2170 6970005, -1691065, -9004790}, -

2171 {1656497, 13457317, 15370807, 6364910, 13605745, 8362338, -19174622, -

2172 -5475723, -16796596, -5031438}, -

2173 {-22273315, -13524424, -64685, -4334223, -18605636, -10921968, -

2174 -20571065, -7007978, -99853, -10237333}, -

2175 }, -

2176 { -

2177 {17747465, 10039260, 19368299, -4050591, -20630635, -16041286, -

2178 31992683, -15857976, -29260363, -5511971}, -

2179 {31932027, -4986141, -19612382, 16366580, 22023614, 88450, 11371999, -

2180 -3744247, 4882242, -10626905}, -

2181 {29796507, 37186, 19818052, 10115756, -11829032, 3352736, 18551198, -

2182 3272828, -5190932, -4162409}, -

2183 }, -

2184 { -

2185 {12501286, 4044383, -8612957, -13392385, -32430052, 5136599, -

2186 -19230378, -3529697, 330070, -3659409}, -

2187 {6384877, 2899513, 17807477, 7663917, -2358888, 12363165, 25366522, -

2188 -8573892, -271295, 12071499}, -

2189 {-8365515, -4042521, 25133448, -4517355, -6211027, 2265927, -

2190 -32769618, 1936675, -5159697, 3829363}, -

2191 }, -

2192 { -

2193 {28425966, -5835433, -577090, -4697198, -14217555, 6870930, 7921550, -

2194 -6567787, 26333140, 14267664}, -

2195 {-11067219, 11871231, 27385719, -10559544, -4585914, -11189312, -

2196 10004786, -8709488, -21761224, 8930324}, -

2197 {-21197785, -16396035, 25654216, -1725397, 12282012, 11008919, -

2198 1541940, 4757911, -26491501, -16408940}, -

2199 }, -

2200 { -

2201 {13537262, -7759490, -20604840, 10961927, -5922820, -13218065, -

2202 -13156584, 6217254, -15943699, 13814990}, -

2203 {-17422573, 15157790, 18705543, 29619, 24409717, -260476, 27361681, -

2204 9257833, -1956526, -1776914}, -

2205 {-25045300, -10191966, 15366585, 15166509, -13105086, 8423556, -

2206 -29171540, 12361135, -18685978, 4578290}, -

2207 }, -

2208 { -

2209 {24579768, 3711570, 1342322, -11180126, -27005135, 14124956, -

2210 -22544529, 14074919, 21964432, 8235257}, -

2211 {-6528613, -2411497, 9442966, -5925588, 12025640, -1487420, -

2212 -2981514, -1669206, 13006806, 2355433}, -

2213 {-16304899, -13605259, -6632427, -5142349, 16974359, -10911083, -

2214 27202044, 1719366, 1141648, -12796236}, -

2215 }, -

2216 { -

2217 {-12863944, -13219986, -8318266, -11018091, -6810145, -4843894, -

2218 13475066, -3133972, 32674895, 13715045}, -

2219 {11423335, -5468059, 32344216, 8962751, 24989809, 9241752, -

2220 -13265253, 16086212, -28740881, -15642093}, -

2221 {-1409668, 12530728, -6368726, 10847387, 19531186, -14132160, -

2222 -11709148, 7791794, -27245943, 4383347}, -

2223 }, -

2224 }, -

2225 { -

2226 { -

2227 {-28970898, 5271447, -1266009, -9736989, -12455236, 16732599, -

2228 -4862407, -4906449, 27193557, 6245191}, -

2229 {-15193956, 5362278, -1783893, 2695834, 4960227, 12840725, 23061898, -

2230 3260492, 22510453, 8577507}, -

2231 {-12632451, 11257346, -32692994, 13548177, -721004, 10879011, -

2232 31168030, 13952092, -29571492, -3635906}, -

2233 }, -

2234 { -

2235 {3877321, -9572739, 32416692, 5405324, -11004407, -13656635, -

2236 3759769, 11935320, 5611860, 8164018}, -

2237 {-16275802, 14667797, 15906460, 12155291, -22111149, -9039718, -

2238 32003002, -8832289, 5773085, -8422109}, -

2239 {-23788118, -8254300, 1950875, 8937633, 18686727, 16459170, -905725, -

2240 12376320, 31632953, 190926}, -

2241 }, -

2242 { -

2243 {-24593607, -16138885, -8423991, 13378746, 14162407, 6901328, -

2244 -8288749, 4508564, -25341555, -3627528}, -

2245 {8884438, -5884009, 6023974, 10104341, -6881569, -4941533, 18722941, -

2246 -14786005, -1672488, 827625}, -

2247 {-32720583, -16289296, -32503547, 7101210, 13354605, 2659080, -

2248 -1800575, -14108036, -24878478, 1541286}, -

2249 }, -

2250 { -

2251 {2901347, -1117687, 3880376, -10059388, -17620940, -3612781, -

2252 -21802117, -3567481, 20456845, -1885033}, -

2253 {27019610, 12299467, -13658288, -1603234, -12861660, -4861471, -

2254 -19540150, -5016058, 29439641, 15138866}, -

2255 {21536104, -6626420, -32447818, -10690208, -22408077, 5175814, -

2256 -5420040, -16361163, 7779328, 109896}, -

2257 }, -

2258 { -

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2979 {-7243358, -3246960, -4593467, -7553353, -127927, -912245, -1090902, -

2980 -4504991, -24660491, 3442910}, -

2981 {-30210571, 5124043, 14181784, 8197961, 18964734, -11939093, -

2982 22597931, 7176455, -18585478, 13365930}, -

2983 }, -

2984 { -

2985 {-7877390, -1499958, 8324673, 4690079, 6261860, 890446, 24538107, -

2986 -8570186, -9689599, -3031667}, -

2987 {25008904, -10771599, -4305031, -9638010, 16265036, 15721635, -

2988 683793, -11823784, 15723479, -15163481}, -

2989 {-9660625, 12374379, -27006999, -7026148, -7724114, -12314514, -

2990 11879682, 5400171, 519526, -1235876}, -

2991 }, -

2992 { -

2993 {22258397, -16332233, -7869817, 14613016, -22520255, -2950923, -

2994 -20353881, 7315967, 16648397, 7605640}, -

2995 {-8081308, -8464597, -8223311, 9719710, 19259459, -15348212, -

2996 23994942, -5281555, -9468848, 4763278}, -

2997 {-21699244, 9220969, -15730624, 1084137, -25476107, -2852390, -

2998 31088447, -7764523, -11356529, 728112}, -

2999 }, -

3000 { -

3001 {26047220, -11751471, -6900323, -16521798, 24092068, 9158119, -

3002 -4273545, -12555558, -29365436, -5498272}, -

3003 {17510331, -322857, 5854289, 8403524, 17133918, -3112612, -28111007, -

3004 12327945, 10750447, 10014012}, -

3005 {-10312768, 3936952, 9156313, -8897683, 16498692, -994647, -

3006 -27481051, -666732, 3424691, 7540221}, -

3007 }, -

3008 { -

3009 {30322361, -6964110, 11361005, -4143317, 7433304, 4989748, -7071422, -

3010 -16317219, -9244265, 15258046}, -

3011 {13054562, -2779497, 19155474, 469045, -12482797, 4566042, 5631406, -

3012 2711395, 1062915, -5136345}, -

3013 {-19240248, -11254599, -29509029, -7499965, -5835763, 13005411, -

3014 -6066489, 12194497, 32960380, 1459310}, -

3015 }, -

3016 }, -

3017 { -

3018 { -

3019 {19852034, 7027924, 23669353, 10020366, 8586503, -6657907, 394197, -

3020 -6101885, 18638003, -11174937}, -

3021 {31395534, 15098109, 26581030, 8030562, -16527914, -5007134, -

3022 9012486, -7584354, -6643087, -5442636}, -

3023 {-9192165, -2347377, -1997099, 4529534, 25766844, 607986, -13222, -

3024 9677543, -32294889, -6456008}, -

3025 }, -

3026 { -

3027 {-2444496, -149937, 29348902, 8186665, 1873760, 12489863, -30934579, -

3028 -7839692, -7852844, -8138429}, -

3029 {-15236356, -15433509, 7766470, 746860, 26346930, -10221762, -

3030 -27333451, 10754588, -9431476, 5203576}, -

3031 {31834314, 14135496, -770007, 5159118, 20917671, -16768096, -

3032 -7467973, -7337524, 31809243, 7347066}, -

3033 }, -

3034 { -

3035 {-9606723, -11874240, 20414459, 13033986, 13716524, -11691881, -

3036 19797970, -12211255, 15192876, -2087490}, -

3037 {-12663563, -2181719, 1168162, -3804809, 26747877, -14138091, -

3038 10609330, 12694420, 33473243, -13382104}, -

3039 {33184999, 11180355, 15832085, -11385430, -1633671, 225884, -

3040 15089336, -11023903, -6135662, 14480053}, -

3041 }, -

3042 { -

3043 {31308717, -5619998, 31030840, -1897099, 15674547, -6582883, -

3044 5496208, 13685227, 27595050, 8737275}, -

3045 {-20318852, -15150239, 10933843, -16178022, 8335352, -7546022, -

3046 -31008351, -12610604, 26498114, 66511}, -

3047 {22644454, -8761729, -16671776, 4884562, -3105614, -13559366, -

3048 30540766, -4286747, -13327787, -7515095}, -

3049 }, -

3050 { -

3051 {-28017847, 9834845, 18617207, -2681312, -3401956, -13307506, -

3052 8205540, 13585437, -17127465, 15115439}, -

3053 {23711543, -672915, 31206561, -8362711, 6164647, -9709987, -

3054 -33535882, -1426096, 8236921, 16492939}, -

3055 {-23910559, -13515526, -26299483, -4503841, 25005590, -7687270, -

3056 19574902, 10071562, 6708380, -6222424}, -

3057 }, -

3058 { -

3059 {2101391, -4930054, 19702731, 2367575, -15427167, 1047675, 5301017, -

3060 9328700, 29955601, -11678310}, -

3061 {3096359, 9271816, -21620864, -15521844, -14847996, -7592937, -

3062 -25892142, -12635595, -9917575, 6216608}, -

3063 {-32615849, 338663, -25195611, 2510422, -29213566, -13820213, -

3064 24822830, -6146567, -26767480, 7525079}, -

3065 }, -

3066 { -

3067 {-23066649, -13985623, 16133487, -7896178, -3389565, 778788, -

3068 -910336, -2782495, -19386633, 11994101}, -

3069 {21691500, -13624626, -641331, -14367021, 3285881, -3483596, -

3070 -25064666, 9718258, -7477437, 13381418}, -

3071 {18445390, -4202236, 14979846, 11622458, -1727110, -3582980, -

3072 23111648, -6375247, 28535282, 15779576}, -

3073 }, -

3074 { -

3075 {30098053, 3089662, -9234387, 16662135, -21306940, 11308411, -

3076 -14068454, 12021730, 9955285, -16303356}, -

3077 {9734894, -14576830, -7473633, -9138735, 2060392, 11313496, -

3078 -18426029, 9924399, 20194861, 13380996}, -

3079 {-26378102, -7965207, -22167821, 15789297, -18055342, -6168792, -

3080 -1984914, 15707771, 26342023, 10146099}, -

3081 }, -

3082 }, -

3083 { -

3084 { -

3085 {-26016874, -219943, 21339191, -41388, 19745256, -2878700, -

3086 -29637280, 2227040, 21612326, -545728}, -

3087 {-13077387, 1184228, 23562814, -5970442, -20351244, -6348714, -

3088 25764461, 12243797, -20856566, 11649658}, -

3089 {-10031494, 11262626, 27384172, 2271902, 26947504, -15997771, 39944, -

3090 6114064, 33514190, 2333242}, -

3091 }, -

3092 { -

3093 {-21433588, -12421821, 8119782, 7219913, -21830522, -9016134, -

3094 -6679750, -12670638, 24350578, -13450001}, -

3095 {-4116307, -11271533, -23886186, 4843615, -30088339, 690623, -

3096 -31536088, -10406836, 8317860, 12352766}, -

3097 {18200138, -14475911, -33087759, -2696619, -23702521, -9102511, -

3098 -23552096, -2287550, 20712163, 6719373}, -

3099 }, -

3100 { -

3101 {26656208, 6075253, -7858556, 1886072, -28344043, 4262326, 11117530, -

3102 -3763210, 26224235, -3297458}, -

3103 {-17168938, -14854097, -3395676, -16369877, -19954045, 14050420, -

3104 21728352, 9493610, 18620611, -16428628}, -

3105 {-13323321, 13325349, 11432106, 5964811, 18609221, 6062965, -

3106 -5269471, -9725556, -30701573, -16479657}, -

3107 }, -

3108 { -

3109 {-23860538, -11233159, 26961357, 1640861, -32413112, -16737940, -

3110 12248509, -5240639, 13735342, 1934062}, -

3111 {25089769, 6742589, 17081145, -13406266, 21909293, -16067981, -

3112 -15136294, -3765346, -21277997, 5473616}, -

3113 {31883677, -7961101, 1083432, -11572403, 22828471, 13290673, -

3114 -7125085, 12469656, 29111212, -5451014}, -

3115 }, -

3116 { -

3117 {24244947, -15050407, -26262976, 2791540, -14997599, 16666678, -

3118 24367466, 6388839, -10295587, 452383}, -

3119 {-25640782, -3417841, 5217916, 16224624, 19987036, -4082269, -

3120 -24236251, -5915248, 15766062, 8407814}, -

3121 {-20406999, 13990231, 15495425, 16395525, 5377168, 15166495, -

3122 -8917023, -4388953, -8067909, 2276718}, -

3123 }, -

3124 { -

3125 {30157918, 12924066, -17712050, 9245753, 19895028, 3368142, -

3126 -23827587, 5096219, 22740376, -7303417}, -

3127 {2041139, -14256350, 7783687, 13876377, -25946985, -13352459, -

3128 24051124, 13742383, -15637599, 13295222}, -

3129 {33338237, -8505733, 12532113, 7977527, 9106186, -1715251, -

3130 -17720195, -4612972, -4451357, -14669444}, -

3131 }, -

3132 { -

3133 {-20045281, 5454097, -14346548, 6447146, 28862071, 1883651, -

3134 -2469266, -4141880, 7770569, 9620597}, -

3135 {23208068, 7979712, 33071466, 8149229, 1758231, -10834995, 30945528, -

3136 -1694323, -33502340, -14767970}, -

3137 {1439958, -16270480, -1079989, -793782, 4625402, 10647766, -5043801, -

3138 1220118, 30494170, -11440799}, -

3139 }, -

3140 { -

3141 {-5037580, -13028295, -2970559, -3061767, 15640974, -6701666, -

3142 -26739026, 926050, -1684339, -13333647}, -

3143 {13908495, -3549272, 30919928, -6273825, -21521863, 7989039, -

3144 9021034, 9078865, 3353509, 4033511}, -

3145 {-29663431, -15113610, 32259991, -344482, 24295849, -12912123, -

3146 23161163, 8839127, 27485041, 7356032}, -

3147 }, -

3148 }, -

3149 { -

3150 { -

3151 {9661027, 705443, 11980065, -5370154, -1628543, 14661173, -6346142, -

3152 2625015, 28431036, -16771834}, -

3153 {-23839233, -8311415, -25945511, 7480958, -17681669, -8354183, -

3154 -22545972, 14150565, 15970762, 4099461}, -

3155 {29262576, 16756590, 26350592, -8793563, 8529671, -11208050, -

3156 13617293, -9937143, 11465739, 8317062}, -

3157 }, -

3158 { -

3159 {-25493081, -6962928, 32500200, -9419051, -23038724, -2302222, -

3160 14898637, 3848455, 20969334, -5157516}, -

3161 {-20384450, -14347713, -18336405, 13884722, -33039454, 2842114, -

3162 -21610826, -3649888, 11177095, 14989547}, -

3163 {-24496721, -11716016, 16959896, 2278463, 12066309, 10137771, -

3164 13515641, 2581286, -28487508, 9930240}, -

3165 }, -

3166 { -

3167 {-17751622, -2097826, 16544300, -13009300, -15914807, -14949081, -

3168 18345767, -13403753, 16291481, -5314038}, -

3169 {-33229194, 2553288, 32678213, 9875984, 8534129, 6889387, -9676774, -

3170 6957617, 4368891, 9788741}, -

3171 {16660756, 7281060, -10830758, 12911820, 20108584, -8101676, -

3172 -21722536, -8613148, 16250552, -11111103}, -

3173 }, -

3174 { -

3175 {-19765507, 2390526, -16551031, 14161980, 1905286, 6414907, 4689584, -

3176 10604807, -30190403, 4782747}, -

3177 {-1354539, 14736941, -7367442, -13292886, 7710542, -14155590, -

3178 -9981571, 4383045, 22546403, 437323}, -

3179 {31665577, -12180464, -16186830, 1491339, -18368625, 3294682, -

3180 27343084, 2786261, -30633590, -14097016}, -

3181 }, -

3182 { -

3183 {-14467279, -683715, -33374107, 7448552, 19294360, 14334329, -

3184 -19690631, 2355319, -19284671, -6114373}, -

3185 {15121312, -15796162, 6377020, -6031361, -10798111, -12957845, -

3186 18952177, 15496498, -29380133, 11754228}, -

3187 {-2637277, -13483075, 8488727, -14303896, 12728761, -1622493, -

3188 7141596, 11724556, 22761615, -10134141}, -

3189 }, -

3190 { -

3191 {16918416, 11729663, -18083579, 3022987, -31015732, -13339659, -

3192 -28741185, -12227393, 32851222, 11717399}, -

3193 {11166634, 7338049, -6722523, 4531520, -29468672, -7302055, -

3194 31474879, 3483633, -1193175, -4030831}, -

3195 {-185635, 9921305, 31456609, -13536438, -12013818, 13348923, -

3196 33142652, 6546660, -19985279, -3948376}, -

3197 }, -

3198 { -

3199 {-32460596, 11266712, -11197107, -7899103, 31703694, 3855903, -

3200 -8537131, -12833048, -30772034, -15486313}, -

3201 {-18006477, 12709068, 3991746, -6479188, -21491523, -10550425, -

3202 -31135347, -16049879, 10928917, 3011958}, -

3203 {-6957757, -15594337, 31696059, 334240, 29576716, 14796075, -

3204 -30831056, -12805180, 18008031, 10258577}, -

3205 }, -

3206 { -

3207 {-22448644, 15655569, 7018479, -4410003, -30314266, -1201591, -

3208 -1853465, 1367120, 25127874, 6671743}, -

3209 {29701166, -14373934, -10878120, 9279288, -17568, 13127210, -

3210 21382910, 11042292, 25838796, 4642684}, -

3211 {-20430234, 14955537, -24126347, 8124619, -5369288, -5990470, -

3212 30468147, -13900640, 18423289, 4177476}, -

3213 }, -

3214 }, -

3215 }; -

3216 -

3217 static uint8_t negative(signed char b) { -

3218 uint32_t x = b; -

3219 x >>= 31; -

3220

return

never executed: return x;

3221 } -

3222 -

3223 static void table_select(ge_precomp *t, int pos, signed char b) { -

3224 ge_precomp minust; -

3225 uint8_t bnegative = negative(b); -

3226 uint8_t babs = b - ((uint8_t)((-bnegative) & b) << 1); -

3227 -

3228 ge_precomp_0(t); -

3229 cmov(t, &k25519Precomp[pos][0], equal(babs, 1)); -

3230 cmov(t, &k25519Precomp[pos][1], equal(babs, 2)); -

3231 cmov(t, &k25519Precomp[pos][2], equal(babs, 3)); -

3232 cmov(t, &k25519Precomp[pos][3], equal(babs, 4)); -

3233 cmov(t, &k25519Precomp[pos][4], equal(babs, 5)); -

3234 cmov(t, &k25519Precomp[pos][5], equal(babs, 6)); -

3235 cmov(t, &k25519Precomp[pos][6], equal(babs, 7)); -

3236 cmov(t, &k25519Precomp[pos][7], equal(babs, 8)); -

3237 fe_copy(minust.yplusx, t->yminusx); -

3238 fe_copy(minust.yminusx, t->yplusx); -

3239 fe_neg(minust.xy2d, t->xy2d); -

3240 cmov(t, &minust, bnegative); -

3241

}

never executed: end of block

3242 -

3243 -

3244 -

3245 -

3246 -

3247 -

3248 -

3249 void x25519_ge_scalarmult_base(ge_p3 *h, const uint8_t *a) { -

3250 signed char e[64]; -

3251 signed char carry; -

3252 ge_p1p1 r; -

3253 ge_p2 s; -

3254 ge_precomp t; -

3255 int i; -

3256 -

3257

for (i = 0; i < 32

i < 32	Description
TRUE	never evaluated
FALSE	never evaluated

; ++i) {

3258 e[2 * i + 0] = (a[i] >> 0) & 15; -

3259 e[2 * i + 1] = (a[i] >> 4) & 15; -

3260

}

never executed: end of block

3261 -

3262 -

3263 -

3264 carry = 0; -

3265

for (i = 0; i < 63

i < 63	Description
TRUE	never evaluated
FALSE	never evaluated

; ++i) {

3266 e[i] += carry; -

3267 carry = e[i] + 8; -

3268 carry >>= 4; -

3269 e[i] -= carry << 4; -

3270

}

never executed: end of block

3271 e[63] += carry; -

3272 -

3273 -

3274 ge_p3_0(h); -

3275

for (i = 1; i < 64

i < 64	Description
TRUE	never evaluated
FALSE	never evaluated

; i += 2) {

3276 table_select(&t, i / 2, e[i]); -

3277 ge_madd(&r, h, &t); -

3278 x25519_ge_p1p1_to_p3(h, &r); -

3279

}

never executed: end of block

3280 -

3281 ge_p3_dbl(&r, h); -

3282 x25519_ge_p1p1_to_p2(&s, &r); -

3283 ge_p2_dbl(&r, &s); -

3284 x25519_ge_p1p1_to_p2(&s, &r); -

3285 ge_p2_dbl(&r, &s); -

3286 x25519_ge_p1p1_to_p2(&s, &r); -

3287 ge_p2_dbl(&r, &s); -

3288 x25519_ge_p1p1_to_p3(h, &r); -

3289 -

3290

for (i = 0; i < 64

i < 64	Description
TRUE	never evaluated
FALSE	never evaluated

; i += 2) {

3291 table_select(&t, i / 2, e[i]); -

3292 ge_madd(&r, h, &t); -

3293 x25519_ge_p1p1_to_p3(h, &r); -

3294

}

never executed: end of block

3295

}

never executed: end of block

3296 -

3297 -

3298 -

3299 static void cmov_cached(ge_cached *t, ge_cached *u, uint8_t b) { -

3300 fe_cmov(t->YplusX, u->YplusX, b); -

3301 fe_cmov(t->YminusX, u->YminusX, b); -

3302 fe_cmov(t->Z, u->Z, b); -

3303 fe_cmov(t->T2d, u->T2d, b); -

3304

}

never executed: end of block

3305 -

3306 -

3307 -

3308 void x25519_ge_scalarmult(ge_p2 *r, const uint8_t *scalar, const ge_p3 *A) { -

3309 ge_p2 Ai_p2[8]; -

3310 ge_cached Ai[16]; -

3311 ge_p1p1 t; -

3312 -

3313 ge_cached_0(&Ai[0]); -

3314 x25519_ge_p3_to_cached(&Ai[1], A); -

3315 ge_p3_to_p2(&Ai_p2[1], A); -

3316 -

3317 unsigned i; -

3318

for (i = 2; i < 16

i < 16	Description
TRUE	never evaluated
FALSE	never evaluated

; i += 2) {

3319 ge_p2_dbl(&t, &Ai_p2[i / 2]); -

3320 ge_p1p1_to_cached(&Ai[i], &t); -

3321

if (i < 8

i < 8	Description
TRUE	never evaluated
FALSE	never evaluated

) {

3322 x25519_ge_p1p1_to_p2(&Ai_p2[i], &t); -

3323

}

never executed: end of block

3324 x25519_ge_add(&t, A, &Ai[i]); -

3325 ge_p1p1_to_cached(&Ai[i + 1], &t); -

3326

if (i < 7

i < 7	Description
TRUE	never evaluated
FALSE	never evaluated

) {

3327 x25519_ge_p1p1_to_p2(&Ai_p2[i + 1], &t); -

3328

}

never executed: end of block

3329

}

never executed: end of block

3330 -

3331 ge_p2_0(r); -

3332 ge_p3 u; -

3333 -

3334

for (i = 0; i < 256

i < 256	Description
TRUE	never evaluated
FALSE	never evaluated

; i += 4) {

3335 ge_p2_dbl(&t, r); -

3336 x25519_ge_p1p1_to_p2(r, &t); -

3337 ge_p2_dbl(&t, r); -

3338 x25519_ge_p1p1_to_p2(r, &t); -

3339 ge_p2_dbl(&t, r); -

3340 x25519_ge_p1p1_to_p2(r, &t); -

3341 ge_p2_dbl(&t, r); -

3342 x25519_ge_p1p1_to_p3(&u, &t); -

3343 -

3344 uint8_t index = scalar[31 - i/8]; -

3345 index >>= 4 - (i & 4); -

3346 index &= 0xf; -

3347 -

3348 unsigned j; -

3349 ge_cached selected; -

3350 ge_cached_0(&selected); -

3351

for (j = 0; j < 16

j < 16	Description
TRUE	never evaluated
FALSE	never evaluated

; j++) {

3352 cmov_cached(&selected, &Ai[j], equal(j, index)); -

3353

}

never executed: end of block

3354 -

3355 x25519_ge_add(&t, &u, &selected); -

3356 x25519_ge_p1p1_to_p2(r, &t); -

3357

}

never executed: end of block

3358

}

never executed: end of block

3359 void -

3360 x25519_sc_reduce(uint8_t *s) { -

3361 int64_t s0 = 2097151 & load_3(s); -

3362 int64_t s1 = 2097151 & (load_4(s + 2) >> 5); -

3363 int64_t s2 = 2097151 & (load_3(s + 5) >> 2); -

3364 int64_t s3 = 2097151 & (load_4(s + 7) >> 7); -

3365 int64_t s4 = 2097151 & (load_4(s + 10) >> 4); -

3366 int64_t s5 = 2097151 & (load_3(s + 13) >> 1); -

3367 int64_t s6 = 2097151 & (load_4(s + 15) >> 6); -

3368 int64_t s7 = 2097151 & (load_3(s + 18) >> 3); -

3369 int64_t s8 = 2097151 & load_3(s + 21); -

3370 int64_t s9 = 2097151 & (load_4(s + 23) >> 5); -

3371 int64_t s10 = 2097151 & (load_3(s + 26) >> 2); -

3372 int64_t s11 = 2097151 & (load_4(s + 28) >> 7); -

3373 int64_t s12 = 2097151 & (load_4(s + 31) >> 4); -

3374 int64_t s13 = 2097151 & (load_3(s + 34) >> 1); -

3375 int64_t s14 = 2097151 & (load_4(s + 36) >> 6); -

3376 int64_t s15 = 2097151 & (load_3(s + 39) >> 3); -

3377 int64_t s16 = 2097151 & load_3(s + 42); -

3378 int64_t s17 = 2097151 & (load_4(s + 44) >> 5); -

3379 int64_t s18 = 2097151 & (load_3(s + 47) >> 2); -

3380 int64_t s19 = 2097151 & (load_4(s + 49) >> 7); -

3381 int64_t s20 = 2097151 & (load_4(s + 52) >> 4); -

3382 int64_t s21 = 2097151 & (load_3(s + 55) >> 1); -

3383 int64_t s22 = 2097151 & (load_4(s + 57) >> 6); -

3384 int64_t s23 = (load_4(s + 60) >> 3); -

3385 int64_t carry0; -

3386 int64_t carry1; -

3387 int64_t carry2; -

3388 int64_t carry3; -

3389 int64_t carry4; -

3390 int64_t carry5; -

3391 int64_t carry6; -

3392 int64_t carry7; -

3393 int64_t carry8; -

3394 int64_t carry9; -

3395 int64_t carry10; -

3396 int64_t carry11; -

3397 int64_t carry12; -

3398 int64_t carry13; -

3399 int64_t carry14; -

3400 int64_t carry15; -

3401 int64_t carry16; -

3402 -

3403 s11 += s23 * 666643; -

3404 s12 += s23 * 470296; -

3405 s13 += s23 * 654183; -

3406 s14 -= s23 * 997805; -

3407 s15 += s23 * 136657; -

3408 s16 -= s23 * 683901; -

3409 s23 = 0; -

3410 -

3411 s10 += s22 * 666643; -

3412 s11 += s22 * 470296; -

3413 s12 += s22 * 654183; -

3414 s13 -= s22 * 997805; -

3415 s14 += s22 * 136657; -

3416 s15 -= s22 * 683901; -

3417 s22 = 0; -

3418 -

3419 s9 += s21 * 666643; -

3420 s10 += s21 * 470296; -

3421 s11 += s21 * 654183; -

3422 s12 -= s21 * 997805; -

3423 s13 += s21 * 136657; -

3424 s14 -= s21 * 683901; -

3425 s21 = 0; -

3426 -

3427 s8 += s20 * 666643; -

3428 s9 += s20 * 470296; -

3429 s10 += s20 * 654183; -

3430 s11 -= s20 * 997805; -

3431 s12 += s20 * 136657; -

3432 s13 -= s20 * 683901; -

3433 s20 = 0; -

3434 -

3435 s7 += s19 * 666643; -

3436 s8 += s19 * 470296; -

3437 s9 += s19 * 654183; -

3438 s10 -= s19 * 997805; -

3439 s11 += s19 * 136657; -

3440 s12 -= s19 * 683901; -

3441 s19 = 0; -

3442 -

3443 s6 += s18 * 666643; -

3444 s7 += s18 * 470296; -

3445 s8 += s18 * 654183; -

3446 s9 -= s18 * 997805; -

3447 s10 += s18 * 136657; -

3448 s11 -= s18 * 683901; -

3449 s18 = 0; -

3450 -

3451 carry6 = (s6 + (1 << 20)) >> 21; -

3452 s7 += carry6; -

3453 s6 -= carry6 << 21; -

3454 carry8 = (s8 + (1 << 20)) >> 21; -

3455 s9 += carry8; -

3456 s8 -= carry8 << 21; -

3457 carry10 = (s10 + (1 << 20)) >> 21; -

3458 s11 += carry10; -

3459 s10 -= carry10 << 21; -

3460 carry12 = (s12 + (1 << 20)) >> 21; -

3461 s13 += carry12; -

3462 s12 -= carry12 << 21; -

3463 carry14 = (s14 + (1 << 20)) >> 21; -

3464 s15 += carry14; -

3465 s14 -= carry14 << 21; -

3466 carry16 = (s16 + (1 << 20)) >> 21; -

3467 s17 += carry16; -

3468 s16 -= carry16 << 21; -

3469 -

3470 carry7 = (s7 + (1 << 20)) >> 21; -

3471 s8 += carry7; -

3472 s7 -= carry7 << 21; -

3473 carry9 = (s9 + (1 << 20)) >> 21; -

3474 s10 += carry9; -

3475 s9 -= carry9 << 21; -

3476 carry11 = (s11 + (1 << 20)) >> 21; -

3477 s12 += carry11; -

3478 s11 -= carry11 << 21; -

3479 carry13 = (s13 + (1 << 20)) >> 21; -

3480 s14 += carry13; -

3481 s13 -= carry13 << 21; -

3482 carry15 = (s15 + (1 << 20)) >> 21; -

3483 s16 += carry15; -

3484 s15 -= carry15 << 21; -

3485 -

3486 s5 += s17 * 666643; -

3487 s6 += s17 * 470296; -

3488 s7 += s17 * 654183; -

3489 s8 -= s17 * 997805; -

3490 s9 += s17 * 136657; -

3491 s10 -= s17 * 683901; -

3492 s17 = 0; -

3493 -

3494 s4 += s16 * 666643; -

3495 s5 += s16 * 470296; -

3496 s6 += s16 * 654183; -

3497 s7 -= s16 * 997805; -

3498 s8 += s16 * 136657; -

3499 s9 -= s16 * 683901; -

3500 s16 = 0; -

3501 -

3502 s3 += s15 * 666643; -

3503 s4 += s15 * 470296; -

3504 s5 += s15 * 654183; -

3505 s6 -= s15 * 997805; -

3506 s7 += s15 * 136657; -

3507 s8 -= s15 * 683901; -

3508 s15 = 0; -

3509 -

3510 s2 += s14 * 666643; -

3511 s3 += s14 * 470296; -

3512 s4 += s14 * 654183; -

3513 s5 -= s14 * 997805; -

3514 s6 += s14 * 136657; -

3515 s7 -= s14 * 683901; -

3516 s14 = 0; -

3517 -

3518 s1 += s13 * 666643; -

3519 s2 += s13 * 470296; -

3520 s3 += s13 * 654183; -

3521 s4 -= s13 * 997805; -

3522 s5 += s13 * 136657; -

3523 s6 -= s13 * 683901; -

3524 s13 = 0; -

3525 -

3526 s0 += s12 * 666643; -

3527 s1 += s12 * 470296; -

3528 s2 += s12 * 654183; -

3529 s3 -= s12 * 997805; -

3530 s4 += s12 * 136657; -

3531 s5 -= s12 * 683901; -

3532 s12 = 0; -

3533 -

3534 carry0 = (s0 + (1 << 20)) >> 21; -

3535 s1 += carry0; -

3536 s0 -= carry0 << 21; -

3537 carry2 = (s2 + (1 << 20)) >> 21; -

3538 s3 += carry2; -

3539 s2 -= carry2 << 21; -

3540 carry4 = (s4 + (1 << 20)) >> 21; -

3541 s5 += carry4; -

3542 s4 -= carry4 << 21; -

3543 carry6 = (s6 + (1 << 20)) >> 21; -

3544 s7 += carry6; -

3545 s6 -= carry6 << 21; -

3546 carry8 = (s8 + (1 << 20)) >> 21; -

3547 s9 += carry8; -

3548 s8 -= carry8 << 21; -

3549 carry10 = (s10 + (1 << 20)) >> 21; -

3550 s11 += carry10; -

3551 s10 -= carry10 << 21; -

3552 -

3553 carry1 = (s1 + (1 << 20)) >> 21; -

3554 s2 += carry1; -

3555 s1 -= carry1 << 21; -

3556 carry3 = (s3 + (1 << 20)) >> 21; -

3557 s4 += carry3; -

3558 s3 -= carry3 << 21; -

3559 carry5 = (s5 + (1 << 20)) >> 21; -

3560 s6 += carry5; -

3561 s5 -= carry5 << 21; -

3562 carry7 = (s7 + (1 << 20)) >> 21; -

3563 s8 += carry7; -

3564 s7 -= carry7 << 21; -

3565 carry9 = (s9 + (1 << 20)) >> 21; -

3566 s10 += carry9; -

3567 s9 -= carry9 << 21; -

3568 carry11 = (s11 + (1 << 20)) >> 21; -

3569 s12 += carry11; -

3570 s11 -= carry11 << 21; -

3571 -

3572 s0 += s12 * 666643; -

3573 s1 += s12 * 470296; -

3574 s2 += s12 * 654183; -

3575 s3 -= s12 * 997805; -

3576 s4 += s12 * 136657; -

3577 s5 -= s12 * 683901; -

3578 s12 = 0; -

3579 -

3580 carry0 = s0 >> 21; -

3581 s1 += carry0; -

3582 s0 -= carry0 << 21; -

3583 carry1 = s1 >> 21; -

3584 s2 += carry1; -

3585 s1 -= carry1 << 21; -

3586 carry2 = s2 >> 21; -

3587 s3 += carry2; -

3588 s2 -= carry2 << 21; -

3589 carry3 = s3 >> 21; -

3590 s4 += carry3; -

3591 s3 -= carry3 << 21; -

3592 carry4 = s4 >> 21; -

3593 s5 += carry4; -

3594 s4 -= carry4 << 21; -

3595 carry5 = s5 >> 21; -

3596 s6 += carry5; -

3597 s5 -= carry5 << 21; -

3598 carry6 = s6 >> 21; -

3599 s7 += carry6; -

3600 s6 -= carry6 << 21; -

3601 carry7 = s7 >> 21; -

3602 s8 += carry7; -

3603 s7 -= carry7 << 21; -

3604 carry8 = s8 >> 21; -

3605 s9 += carry8; -

3606 s8 -= carry8 << 21; -

3607 carry9 = s9 >> 21; -

3608 s10 += carry9; -

3609 s9 -= carry9 << 21; -

3610 carry10 = s10 >> 21; -

3611 s11 += carry10; -

3612 s10 -= carry10 << 21; -

3613 carry11 = s11 >> 21; -

3614 s12 += carry11; -

3615 s11 -= carry11 << 21; -

3616 -

3617 s0 += s12 * 666643; -

3618 s1 += s12 * 470296; -

3619 s2 += s12 * 654183; -

3620 s3 -= s12 * 997805; -

3621 s4 += s12 * 136657; -

3622 s5 -= s12 * 683901; -

3623 s12 = 0; -

3624 -

3625 carry0 = s0 >> 21; -

3626 s1 += carry0; -

3627 s0 -= carry0 << 21; -

3628 carry1 = s1 >> 21; -

3629 s2 += carry1; -

3630 s1 -= carry1 << 21; -

3631 carry2 = s2 >> 21; -

3632 s3 += carry2; -

3633 s2 -= carry2 << 21; -

3634 carry3 = s3 >> 21; -

3635 s4 += carry3; -

3636 s3 -= carry3 << 21; -

3637 carry4 = s4 >> 21; -

3638 s5 += carry4; -

3639 s4 -= carry4 << 21; -

3640 carry5 = s5 >> 21; -

3641 s6 += carry5; -

3642 s5 -= carry5 << 21; -

3643 carry6 = s6 >> 21; -

3644 s7 += carry6; -

3645 s6 -= carry6 << 21; -

3646 carry7 = s7 >> 21; -

3647 s8 += carry7; -

3648 s7 -= carry7 << 21; -

3649 carry8 = s8 >> 21; -

3650 s9 += carry8; -

3651 s8 -= carry8 << 21; -

3652 carry9 = s9 >> 21; -

3653 s10 += carry9; -

3654 s9 -= carry9 << 21; -

3655 carry10 = s10 >> 21; -

3656 s11 += carry10; -

3657 s10 -= carry10 << 21; -

3658 -

3659 s[0] = s0 >> 0; -

3660 s[1] = s0 >> 8; -

3661 s[2] = (s0 >> 16) | (s1 << 5); -

3662 s[3] = s1 >> 3; -

3663 s[4] = s1 >> 11; -

3664 s[5] = (s1 >> 19) | (s2 << 2); -

3665 s[6] = s2 >> 6; -

3666 s[7] = (s2 >> 14) | (s3 << 7); -

3667 s[8] = s3 >> 1; -

3668 s[9] = s3 >> 9; -

3669 s[10] = (s3 >> 17) | (s4 << 4); -

3670 s[11] = s4 >> 4; -

3671 s[12] = s4 >> 12; -

3672 s[13] = (s4 >> 20) | (s5 << 1); -

3673 s[14] = s5 >> 7; -

3674 s[15] = (s5 >> 15) | (s6 << 6); -

3675 s[16] = s6 >> 2; -

3676 s[17] = s6 >> 10; -

3677 s[18] = (s6 >> 18) | (s7 << 3); -

3678 s[19] = s7 >> 5; -

3679 s[20] = s7 >> 13; -

3680 s[21] = s8 >> 0; -

3681 s[22] = s8 >> 8; -

3682 s[23] = (s8 >> 16) | (s9 << 5); -

3683 s[24] = s9 >> 3; -

3684 s[25] = s9 >> 11; -

3685 s[26] = (s9 >> 19) | (s10 << 2); -

3686 s[27] = s10 >> 6; -

3687 s[28] = (s10 >> 14) | (s11 << 7); -

3688 s[29] = s11 >> 1; -

3689 s[30] = s11 >> 9; -

3690 s[31] = s11 >> 17; -

3691

}

never executed: end of block

3692 static void fe_cswap(fe f, fe g, unsigned int b) { -

3693 b = 0-b; -

3694 unsigned i; -

3695

for (i = 0; i < 10

i < 10	Description
TRUE	evaluated 5237760 times by 3 tests Evaluated by: ssltest tlstest x25519test
FALSE	evaluated 523776 times by 3 tests Evaluated by: ssltest tlstest x25519test

; i++) {

523776-5237760

3696 int32_t x = f[i] ^ g[i]; -

3697 x &= b; -

3698 f[i] ^= x; -

3699 g[i] ^= x; -

3700

}

executed 5237760 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

5237760

3701

}

executed 523776 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

523776

3702 static void fe_mul121666(fe h, fe f) { -

3703 int32_t f0 = f[0]; -

3704 int32_t f1 = f[1]; -

3705 int32_t f2 = f[2]; -

3706 int32_t f3 = f[3]; -

3707 int32_t f4 = f[4]; -

3708 int32_t f5 = f[5]; -

3709 int32_t f6 = f[6]; -

3710 int32_t f7 = f[7]; -

3711 int32_t f8 = f[8]; -

3712 int32_t f9 = f[9]; -

3713 int64_t h0 = f0 * (int64_t) 121666; -

3714 int64_t h1 = f1 * (int64_t) 121666; -

3715 int64_t h2 = f2 * (int64_t) 121666; -

3716 int64_t h3 = f3 * (int64_t) 121666; -

3717 int64_t h4 = f4 * (int64_t) 121666; -

3718 int64_t h5 = f5 * (int64_t) 121666; -

3719 int64_t h6 = f6 * (int64_t) 121666; -

3720 int64_t h7 = f7 * (int64_t) 121666; -

3721 int64_t h8 = f8 * (int64_t) 121666; -

3722 int64_t h9 = f9 * (int64_t) 121666; -

3723 int64_t carry0; -

3724 int64_t carry1; -

3725 int64_t carry2; -

3726 int64_t carry3; -

3727 int64_t carry4; -

3728 int64_t carry5; -

3729 int64_t carry6; -

3730 int64_t carry7; -

3731 int64_t carry8; -

3732 int64_t carry9; -

3733 -

3734 carry9 = h9 + (1 << 24); h0 += (carry9 >> 25) * 19; h9 -= carry9 & kTop39Bits; -

3735 carry1 = h1 + (1 << 24); h2 += carry1 >> 25; h1 -= carry1 & kTop39Bits; -

3736 carry3 = h3 + (1 << 24); h4 += carry3 >> 25; h3 -= carry3 & kTop39Bits; -

3737 carry5 = h5 + (1 << 24); h6 += carry5 >> 25; h5 -= carry5 & kTop39Bits; -

3738 carry7 = h7 + (1 << 24); h8 += carry7 >> 25; h7 -= carry7 & kTop39Bits; -

3739 -

3740 carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits; -

3741 carry2 = h2 + (1 << 25); h3 += carry2 >> 26; h2 -= carry2 & kTop38Bits; -

3742 carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits; -

3743 carry6 = h6 + (1 << 25); h7 += carry6 >> 26; h6 -= carry6 & kTop38Bits; -

3744 carry8 = h8 + (1 << 25); h9 += carry8 >> 26; h8 -= carry8 & kTop38Bits; -

3745 -

3746 h[0] = h0; -

3747 h[1] = h1; -

3748 h[2] = h2; -

3749 h[3] = h3; -

3750 h[4] = h4; -

3751 h[5] = h5; -

3752 h[6] = h6; -

3753 h[7] = h7; -

3754 h[8] = h8; -

3755 h[9] = h9; -

3756

}

executed 260865 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

260865

3757 -

3758 void -

3759 x25519_scalar_mult_generic(uint8_t out[32], const uint8_t scalar[32], -

3760 const uint8_t point[32]) { -

3761 fe x1, x2, z2, x3, z3, tmp0, tmp1; -

3762 -

3763 uint8_t e[32]; -

3764 memcpy(e, scalar, 32); -

3765 e[0] &= 248; -

3766 e[31] &= 127; -

3767 e[31] |= 64; -

3768 fe_frombytes(x1, point); -

3769 fe_1(x2); -

3770 fe_0(z2); -

3771 fe_copy(x3, x1); -

3772 fe_1(z3); -

3773 -

3774 unsigned swap = 0; -

3775 int pos; -

3776

for (pos = 254; pos >= 0

pos >= 0	Description
TRUE	evaluated 260865 times by 3 tests Evaluated by: ssltest tlstest x25519test
FALSE	evaluated 1023 times by 3 tests Evaluated by: ssltest tlstest x25519test

; --pos) {

1023-260865

3777 unsigned b = 1 & (e[pos / 8] >> (pos & 7)); -

3778 swap ^= b; -

3779 fe_cswap(x2, x3, swap); -

3780 fe_cswap(z2, z3, swap); -

3781 swap = b; -

3782 fe_sub(tmp0, x3, z3); -

3783 fe_sub(tmp1, x2, z2); -

3784 fe_add(x2, x2, z2); -

3785 fe_add(z2, x3, z3); -

3786 fe_mul(z3, tmp0, x2); -

3787 fe_mul(z2, z2, tmp1); -

3788 fe_sq(tmp0, tmp1); -

3789 fe_sq(tmp1, x2); -

3790 fe_add(x3, z3, z2); -

3791 fe_sub(z2, z3, z2); -

3792 fe_mul(x2, tmp1, tmp0); -

3793 fe_sub(tmp1, tmp1, tmp0); -

3794 fe_sq(z2, z2); -

3795 fe_mul121666(z3, tmp1); -

3796 fe_sq(x3, x3); -

3797 fe_add(tmp0, tmp0, z3); -

3798 fe_mul(z3, x1, z2); -

3799 fe_mul(z2, tmp1, tmp0); -

3800

}

executed 260865 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

260865

3801 fe_cswap(x2, x3, swap); -

3802 fe_cswap(z2, z3, swap); -

3803 -

3804 fe_invert(z2, z2); -

3805 fe_mul(x2, x2, z2); -

3806 fe_tobytes(out, x2); -

3807

}

executed 1023 times by 3 tests: end of block

Executed by:

ssltest
tlstest
x25519test

1023

3808 void -

3809 x25519_public_from_private(uint8_t out_public_value[32], -

3810 const uint8_t private_key[32]) -

3811 { -

3812 static const uint8_t kMongomeryBasePoint[32] = {9}; -

3813 -

3814 x25519_scalar_mult(out_public_value, private_key, kMongomeryBasePoint); -

3815

}

executed 10 times by 2 tests: end of block

Executed by:

ssltest
tlstest

3816 -

3817 void -

3818 X25519_keypair(uint8_t out_public_value[32], -

3819 uint8_t out_private_key[32]) -

3820 { -

3821 arc4random_buf(out_private_key, 32); -

3822 -

3823 out_private_key[0] |= 7; -

3824 out_private_key[31] &= 63; -

3825 out_private_key[31] |= 128; -

3826 -

3827 x25519_public_from_private(out_public_value, out_private_key); -

3828

}

executed 10 times by 2 tests: end of block

Executed by:

ssltest
tlstest

3829 -

3830 int -

3831 X25519(uint8_t out_shared_key[32], -

3832 const uint8_t private_key[32], -

3833 const uint8_t peer_public_value[32]) -

3834 { -

3835 static const uint8_t kZeros[32] = {0}; -

3836 -

3837 x25519_scalar_mult(out_shared_key, private_key, peer_public_value); -

3838 -

3839 -

3840

return

executed 1013 times by 3 tests: return timingsafe_memcmp(kZeros, out_shared_key, 32) != 0;

Executed by:

ssltest
tlstest
x25519test

timingsafe_memcmp(kZeros, out_shared_key, 32) != 0;

executed 1013 times by 3 tests: return timingsafe_memcmp(kZeros, out_shared_key, 32) != 0;

Executed by:

ssltest
tlstest
x25519test

1013

3841 } -

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