diff --git a/core/C25519.cpp b/core/C25519.cpp index 5d55a8f51..12fd37982 100644 --- a/core/C25519.cpp +++ b/core/C25519.cpp @@ -33,64 +33,91 @@ typedef uint8_t u8; typedef int32_t s32; typedef int64_t limb; -ZT_INLINE void fsum(limb* output, const limb* in) +ZT_INLINE void fsum(limb *output, const limb *in) { - unsigned i; - for (i = 0; i < 10; i += 2) { + for (int i = 0; i < 10; i += 2) { output[0 + i] = output[0 + i] + in[0 + i]; output[1 + i] = output[1 + i] + in[1 + i]; } } -ZT_INLINE void fdifference(limb* output, const limb* in) +ZT_INLINE void fdifference(limb *output, const limb *in) { - unsigned i; - for (i = 0; i < 10; ++i) { + for (int i = 0; i < 10; ++i) output[i] = in[i] - output[i]; - } } -ZT_INLINE void fscalar_product(limb* output, const limb* in, const limb scalar) +ZT_INLINE void fscalar_product(limb *output, const limb *in, const limb scalar) { - unsigned i; - for (i = 0; i < 10; ++i) { + for (int i = 0; i < 10; ++i) output[i] = in[i] * scalar; - } } -void fproduct(limb* output, const limb* in2, const limb* in) +void fproduct(limb *output, const limb *in2, const limb *in) { output[0] = ((limb)((s32)in2[0])) * ((s32)in[0]); output[1] = ((limb)((s32)in2[0])) * ((s32)in[1]) + ((limb)((s32)in2[1])) * ((s32)in[0]); - output[2] = 2 * ((limb)((s32)in2[1])) * ((s32)in[1]) + ((limb)((s32)in2[0])) * ((s32)in[2]) + ((limb)((s32)in2[2])) * ((s32)in[0]); - output[3] = ((limb)((s32)in2[1])) * ((s32)in[2]) + ((limb)((s32)in2[2])) * ((s32)in[1]) + ((limb)((s32)in2[0])) * ((s32)in[3]) + ((limb)((s32)in2[3])) * ((s32)in[0]); - output[4] = ((limb)((s32)in2[2])) * ((s32)in[2]) + 2 * (((limb)((s32)in2[1])) * ((s32)in[3]) + ((limb)((s32)in2[3])) * ((s32)in[1])) + ((limb)((s32)in2[0])) * ((s32)in[4]) + ((limb)((s32)in2[4])) * ((s32)in[0]); - output[5] = - ((limb)((s32)in2[2])) * ((s32)in[3]) + ((limb)((s32)in2[3])) * ((s32)in[2]) + ((limb)((s32)in2[1])) * ((s32)in[4]) + ((limb)((s32)in2[4])) * ((s32)in[1]) + ((limb)((s32)in2[0])) * ((s32)in[5]) + ((limb)((s32)in2[5])) * ((s32)in[0]); - output[6] = 2 * (((limb)((s32)in2[3])) * ((s32)in[3]) + ((limb)((s32)in2[1])) * ((s32)in[5]) + ((limb)((s32)in2[5])) * ((s32)in[1])) + ((limb)((s32)in2[2])) * ((s32)in[4]) + ((limb)((s32)in2[4])) * ((s32)in[2]) + output[2] = 2 * ((limb)((s32)in2[1])) * ((s32)in[1]) + ((limb)((s32)in2[0])) * ((s32)in[2]) + + ((limb)((s32)in2[2])) * ((s32)in[0]); + output[3] = ((limb)((s32)in2[1])) * ((s32)in[2]) + ((limb)((s32)in2[2])) * ((s32)in[1]) + + ((limb)((s32)in2[0])) * ((s32)in[3]) + ((limb)((s32)in2[3])) * ((s32)in[0]); + output[4] = ((limb)((s32)in2[2])) * ((s32)in[2]) + + 2 * (((limb)((s32)in2[1])) * ((s32)in[3]) + ((limb)((s32)in2[3])) * ((s32)in[1])) + + ((limb)((s32)in2[0])) * ((s32)in[4]) + ((limb)((s32)in2[4])) * ((s32)in[0]); + output[5] = ((limb)((s32)in2[2])) * ((s32)in[3]) + ((limb)((s32)in2[3])) * ((s32)in[2]) + + ((limb)((s32)in2[1])) * ((s32)in[4]) + ((limb)((s32)in2[4])) * ((s32)in[1]) + + ((limb)((s32)in2[0])) * ((s32)in[5]) + ((limb)((s32)in2[5])) * ((s32)in[0]); + output[6] = 2 + * (((limb)((s32)in2[3])) * ((s32)in[3]) + ((limb)((s32)in2[1])) * ((s32)in[5]) + + ((limb)((s32)in2[5])) * ((s32)in[1])) + + ((limb)((s32)in2[2])) * ((s32)in[4]) + ((limb)((s32)in2[4])) * ((s32)in[2]) + ((limb)((s32)in2[0])) * ((s32)in[6]) + ((limb)((s32)in2[6])) * ((s32)in[0]); - output[7] = ((limb)((s32)in2[3])) * ((s32)in[4]) + ((limb)((s32)in2[4])) * ((s32)in[3]) + ((limb)((s32)in2[2])) * ((s32)in[5]) + ((limb)((s32)in2[5])) * ((s32)in[2]) + ((limb)((s32)in2[1])) * ((s32)in[6]) - + ((limb)((s32)in2[6])) * ((s32)in[1]) + ((limb)((s32)in2[0])) * ((s32)in[7]) + ((limb)((s32)in2[7])) * ((s32)in[0]); - output[8] = ((limb)((s32)in2[4])) * ((s32)in[4]) + 2 * (((limb)((s32)in2[3])) * ((s32)in[5]) + ((limb)((s32)in2[5])) * ((s32)in[3]) + ((limb)((s32)in2[1])) * ((s32)in[7]) + ((limb)((s32)in2[7])) * ((s32)in[1])) - + ((limb)((s32)in2[2])) * ((s32)in[6]) + ((limb)((s32)in2[6])) * ((s32)in[2]) + ((limb)((s32)in2[0])) * ((s32)in[8]) + ((limb)((s32)in2[8])) * ((s32)in[0]); - output[9] = ((limb)((s32)in2[4])) * ((s32)in[5]) + ((limb)((s32)in2[5])) * ((s32)in[4]) + ((limb)((s32)in2[3])) * ((s32)in[6]) + ((limb)((s32)in2[6])) * ((s32)in[3]) + ((limb)((s32)in2[2])) * ((s32)in[7]) - + ((limb)((s32)in2[7])) * ((s32)in[2]) + ((limb)((s32)in2[1])) * ((s32)in[8]) + ((limb)((s32)in2[8])) * ((s32)in[1]) + ((limb)((s32)in2[0])) * ((s32)in[9]) + ((limb)((s32)in2[9])) * ((s32)in[0]); - output[10] = 2 * (((limb)((s32)in2[5])) * ((s32)in[5]) + ((limb)((s32)in2[3])) * ((s32)in[7]) + ((limb)((s32)in2[7])) * ((s32)in[3]) + ((limb)((s32)in2[1])) * ((s32)in[9]) + ((limb)((s32)in2[9])) * ((s32)in[1])) - + ((limb)((s32)in2[4])) * ((s32)in[6]) + ((limb)((s32)in2[6])) * ((s32)in[4]) + ((limb)((s32)in2[2])) * ((s32)in[8]) + ((limb)((s32)in2[8])) * ((s32)in[2]); - output[11] = ((limb)((s32)in2[5])) * ((s32)in[6]) + ((limb)((s32)in2[6])) * ((s32)in[5]) + ((limb)((s32)in2[4])) * ((s32)in[7]) + ((limb)((s32)in2[7])) * ((s32)in[4]) + ((limb)((s32)in2[3])) * ((s32)in[8]) - + ((limb)((s32)in2[8])) * ((s32)in[3]) + ((limb)((s32)in2[2])) * ((s32)in[9]) + ((limb)((s32)in2[9])) * ((s32)in[2]); - output[12] = ((limb)((s32)in2[6])) * ((s32)in[6]) + 2 * (((limb)((s32)in2[5])) * ((s32)in[7]) + ((limb)((s32)in2[7])) * ((s32)in[5]) + ((limb)((s32)in2[3])) * ((s32)in[9]) + ((limb)((s32)in2[9])) * ((s32)in[3])) + output[7] = ((limb)((s32)in2[3])) * ((s32)in[4]) + ((limb)((s32)in2[4])) * ((s32)in[3]) + + ((limb)((s32)in2[2])) * ((s32)in[5]) + ((limb)((s32)in2[5])) * ((s32)in[2]) + + ((limb)((s32)in2[1])) * ((s32)in[6]) + ((limb)((s32)in2[6])) * ((s32)in[1]) + + ((limb)((s32)in2[0])) * ((s32)in[7]) + ((limb)((s32)in2[7])) * ((s32)in[0]); + output[8] = ((limb)((s32)in2[4])) * ((s32)in[4]) + + 2 + * (((limb)((s32)in2[3])) * ((s32)in[5]) + ((limb)((s32)in2[5])) * ((s32)in[3]) + + ((limb)((s32)in2[1])) * ((s32)in[7]) + ((limb)((s32)in2[7])) * ((s32)in[1])) + + ((limb)((s32)in2[2])) * ((s32)in[6]) + ((limb)((s32)in2[6])) * ((s32)in[2]) + + ((limb)((s32)in2[0])) * ((s32)in[8]) + ((limb)((s32)in2[8])) * ((s32)in[0]); + output[9] = ((limb)((s32)in2[4])) * ((s32)in[5]) + ((limb)((s32)in2[5])) * ((s32)in[4]) + + ((limb)((s32)in2[3])) * ((s32)in[6]) + ((limb)((s32)in2[6])) * ((s32)in[3]) + + ((limb)((s32)in2[2])) * ((s32)in[7]) + ((limb)((s32)in2[7])) * ((s32)in[2]) + + ((limb)((s32)in2[1])) * ((s32)in[8]) + ((limb)((s32)in2[8])) * ((s32)in[1]) + + ((limb)((s32)in2[0])) * ((s32)in[9]) + ((limb)((s32)in2[9])) * ((s32)in[0]); + output[10] = 2 + * (((limb)((s32)in2[5])) * ((s32)in[5]) + ((limb)((s32)in2[3])) * ((s32)in[7]) + + ((limb)((s32)in2[7])) * ((s32)in[3]) + ((limb)((s32)in2[1])) * ((s32)in[9]) + + ((limb)((s32)in2[9])) * ((s32)in[1])) + + ((limb)((s32)in2[4])) * ((s32)in[6]) + ((limb)((s32)in2[6])) * ((s32)in[4]) + + ((limb)((s32)in2[2])) * ((s32)in[8]) + ((limb)((s32)in2[8])) * ((s32)in[2]); + output[11] = ((limb)((s32)in2[5])) * ((s32)in[6]) + ((limb)((s32)in2[6])) * ((s32)in[5]) + + ((limb)((s32)in2[4])) * ((s32)in[7]) + ((limb)((s32)in2[7])) * ((s32)in[4]) + + ((limb)((s32)in2[3])) * ((s32)in[8]) + ((limb)((s32)in2[8])) * ((s32)in[3]) + + ((limb)((s32)in2[2])) * ((s32)in[9]) + ((limb)((s32)in2[9])) * ((s32)in[2]); + output[12] = ((limb)((s32)in2[6])) * ((s32)in[6]) + + 2 + * (((limb)((s32)in2[5])) * ((s32)in[7]) + ((limb)((s32)in2[7])) * ((s32)in[5]) + + ((limb)((s32)in2[3])) * ((s32)in[9]) + ((limb)((s32)in2[9])) * ((s32)in[3])) + ((limb)((s32)in2[4])) * ((s32)in[8]) + ((limb)((s32)in2[8])) * ((s32)in[4]); - output[13] = - ((limb)((s32)in2[6])) * ((s32)in[7]) + ((limb)((s32)in2[7])) * ((s32)in[6]) + ((limb)((s32)in2[5])) * ((s32)in[8]) + ((limb)((s32)in2[8])) * ((s32)in[5]) + ((limb)((s32)in2[4])) * ((s32)in[9]) + ((limb)((s32)in2[9])) * ((s32)in[4]); - output[14] = 2 * (((limb)((s32)in2[7])) * ((s32)in[7]) + ((limb)((s32)in2[5])) * ((s32)in[9]) + ((limb)((s32)in2[9])) * ((s32)in[5])) + ((limb)((s32)in2[6])) * ((s32)in[8]) + ((limb)((s32)in2[8])) * ((s32)in[6]); - output[15] = ((limb)((s32)in2[7])) * ((s32)in[8]) + ((limb)((s32)in2[8])) * ((s32)in[7]) + ((limb)((s32)in2[6])) * ((s32)in[9]) + ((limb)((s32)in2[9])) * ((s32)in[6]); - output[16] = ((limb)((s32)in2[8])) * ((s32)in[8]) + 2 * (((limb)((s32)in2[7])) * ((s32)in[9]) + ((limb)((s32)in2[9])) * ((s32)in[7])); + output[13] = ((limb)((s32)in2[6])) * ((s32)in[7]) + ((limb)((s32)in2[7])) * ((s32)in[6]) + + ((limb)((s32)in2[5])) * ((s32)in[8]) + ((limb)((s32)in2[8])) * ((s32)in[5]) + + ((limb)((s32)in2[4])) * ((s32)in[9]) + ((limb)((s32)in2[9])) * ((s32)in[4]); + output[14] = 2 + * (((limb)((s32)in2[7])) * ((s32)in[7]) + ((limb)((s32)in2[5])) * ((s32)in[9]) + + ((limb)((s32)in2[9])) * ((s32)in[5])) + + ((limb)((s32)in2[6])) * ((s32)in[8]) + ((limb)((s32)in2[8])) * ((s32)in[6]); + output[15] = ((limb)((s32)in2[7])) * ((s32)in[8]) + ((limb)((s32)in2[8])) * ((s32)in[7]) + + ((limb)((s32)in2[6])) * ((s32)in[9]) + ((limb)((s32)in2[9])) * ((s32)in[6]); + output[16] = ((limb)((s32)in2[8])) * ((s32)in[8]) + + 2 * (((limb)((s32)in2[7])) * ((s32)in[9]) + ((limb)((s32)in2[9])) * ((s32)in[7])); output[17] = ((limb)((s32)in2[8])) * ((s32)in[9]) + ((limb)((s32)in2[9])) * ((s32)in[8]); output[18] = 2 * ((limb)((s32)in2[9])) * ((s32)in[9]); } -void freduce_degree(limb* output) +ZT_INLINE void freduce_degree(limb *output) { output[8] += output[18] << 4; output[8] += output[18] << 1; @@ -127,122 +154,115 @@ void freduce_degree(limb* output) ZT_INLINE limb div_by_2_26(const limb v) { - /* High word of v; no shift needed. */ const uint32_t highword = (uint32_t)(((uint64_t)v) >> 32); - /* Set to all 1s if v was negative; else set to 0s. */ - const int32_t sign = ((int32_t)highword) >> 31; - /* Set to 0x3ffffff if v was negative; else set to 0. */ - const int32_t roundoff = ((uint32_t)sign) >> 6; - /* Should return v / (1<<26) */ + const int32_t sign = ((int32_t)highword) >> 31; + const int32_t roundoff = ((uint32_t)sign) >> 6; return (v + roundoff) >> 26; } ZT_INLINE limb div_by_2_25(const limb v) { - /* High word of v; no shift needed*/ const uint32_t highword = (uint32_t)(((uint64_t)v) >> 32); - /* Set to all 1s if v was negative; else set to 0s. */ - const int32_t sign = ((int32_t)highword) >> 31; - /* Set to 0x1ffffff if v was negative; else set to 0. */ - const int32_t roundoff = ((uint32_t)sign) >> 7; - /* Should return v / (1<<25) */ + const int32_t sign = ((int32_t)highword) >> 31; + const int32_t roundoff = ((uint32_t)sign) >> 7; return (v + roundoff) >> 25; } -void freduce_coefficients(limb* output) +void freduce_coefficients(limb *output) { - unsigned i; - output[10] = 0; - - for (i = 0; i < 10; i += 2) { + for (int i = 0; i < 10; i += 2) { limb over = div_by_2_26(output[i]); - /* The entry condition (that |output[i]| < 280*2^54) means that over is, at - * most, 280*2^28 in the first iteration of this loop. This is added to the - * next limb and we can approximate the resulting bound of that limb by - * 281*2^54. */ output[i] -= over << 26; output[i + 1] += over; - - /* For the first iteration, |output[i+1]| < 281*2^54, thus |over| < - * 281*2^29. When this is added to the next limb, the resulting bound can - * be approximated as 281*2^54. - * - * For subsequent iterations of the loop, 281*2^54 remains a conservative - * bound and no overflow occurs. */ over = div_by_2_25(output[i + 1]); output[i + 1] -= over << 25; output[i + 2] += over; } - /* Now |output[10]| < 281*2^29 and all other coefficients are reduced. */ output[0] += output[10] << 4; output[0] += output[10] << 1; output[0] += output[10]; - output[10] = 0; - - /* Now output[1..9] are reduced, and |output[0]| < 2^26 + 19*281*2^29 - * So |over| will be no more than 2^16. */ { limb over = div_by_2_26(output[0]); output[0] -= over << 26; output[1] += over; } - - /* Now output[0,2..9] are reduced, and |output[1]| < 2^25 + 2^16 < 2^26. The - * bound on |output[1]| is sufficient to meet our needs. */ } -ZT_INLINE void fmul(limb* output, const limb* in, const limb* in2) +ZT_INLINE void fmul(limb *output, const limb *in, const limb *in2) { limb t[19]; fproduct(t, in, in2); - /* |t[i]| < 14*2^54 */ freduce_degree(t); freduce_coefficients(t); - /* |t[i]| < 2^26 */ Utils::copy(output, t); } -void fsquare_inner(limb* output, const limb* in) +void fsquare_inner(limb *output, const limb *in) { output[0] = ((limb)((s32)in[0])) * ((s32)in[0]); output[1] = 2 * ((limb)((s32)in[0])) * ((s32)in[1]); output[2] = 2 * (((limb)((s32)in[1])) * ((s32)in[1]) + ((limb)((s32)in[0])) * ((s32)in[2])); output[3] = 2 * (((limb)((s32)in[1])) * ((s32)in[2]) + ((limb)((s32)in[0])) * ((s32)in[3])); - output[4] = ((limb)((s32)in[2])) * ((s32)in[2]) + 4 * ((limb)((s32)in[1])) * ((s32)in[3]) + 2 * ((limb)((s32)in[0])) * ((s32)in[4]); - output[5] = 2 * (((limb)((s32)in[2])) * ((s32)in[3]) + ((limb)((s32)in[1])) * ((s32)in[4]) + ((limb)((s32)in[0])) * ((s32)in[5])); - output[6] = 2 * (((limb)((s32)in[3])) * ((s32)in[3]) + ((limb)((s32)in[2])) * ((s32)in[4]) + ((limb)((s32)in[0])) * ((s32)in[6]) + 2 * ((limb)((s32)in[1])) * ((s32)in[5])); - output[7] = 2 * (((limb)((s32)in[3])) * ((s32)in[4]) + ((limb)((s32)in[2])) * ((s32)in[5]) + ((limb)((s32)in[1])) * ((s32)in[6]) + ((limb)((s32)in[0])) * ((s32)in[7])); - output[8] = ((limb)((s32)in[4])) * ((s32)in[4]) + 2 * (((limb)((s32)in[2])) * ((s32)in[6]) + ((limb)((s32)in[0])) * ((s32)in[8]) + 2 * (((limb)((s32)in[1])) * ((s32)in[7]) + ((limb)((s32)in[3])) * ((s32)in[5]))); - output[9] = 2 * (((limb)((s32)in[4])) * ((s32)in[5]) + ((limb)((s32)in[3])) * ((s32)in[6]) + ((limb)((s32)in[2])) * ((s32)in[7]) + ((limb)((s32)in[1])) * ((s32)in[8]) + ((limb)((s32)in[0])) * ((s32)in[9])); - output[10] = 2 * (((limb)((s32)in[5])) * ((s32)in[5]) + ((limb)((s32)in[4])) * ((s32)in[6]) + ((limb)((s32)in[2])) * ((s32)in[8]) + 2 * (((limb)((s32)in[3])) * ((s32)in[7]) + ((limb)((s32)in[1])) * ((s32)in[9]))); - output[11] = 2 * (((limb)((s32)in[5])) * ((s32)in[6]) + ((limb)((s32)in[4])) * ((s32)in[7]) + ((limb)((s32)in[3])) * ((s32)in[8]) + ((limb)((s32)in[2])) * ((s32)in[9])); - output[12] = ((limb)((s32)in[6])) * ((s32)in[6]) + 2 * (((limb)((s32)in[4])) * ((s32)in[8]) + 2 * (((limb)((s32)in[5])) * ((s32)in[7]) + ((limb)((s32)in[3])) * ((s32)in[9]))); - output[13] = 2 * (((limb)((s32)in[6])) * ((s32)in[7]) + ((limb)((s32)in[5])) * ((s32)in[8]) + ((limb)((s32)in[4])) * ((s32)in[9])); - output[14] = 2 * (((limb)((s32)in[7])) * ((s32)in[7]) + ((limb)((s32)in[6])) * ((s32)in[8]) + 2 * ((limb)((s32)in[5])) * ((s32)in[9])); + output[4] = ((limb)((s32)in[2])) * ((s32)in[2]) + 4 * ((limb)((s32)in[1])) * ((s32)in[3]) + + 2 * ((limb)((s32)in[0])) * ((s32)in[4]); + output[5] = 2 + * (((limb)((s32)in[2])) * ((s32)in[3]) + ((limb)((s32)in[1])) * ((s32)in[4]) + + ((limb)((s32)in[0])) * ((s32)in[5])); + output[6] = 2 + * (((limb)((s32)in[3])) * ((s32)in[3]) + ((limb)((s32)in[2])) * ((s32)in[4]) + + ((limb)((s32)in[0])) * ((s32)in[6]) + 2 * ((limb)((s32)in[1])) * ((s32)in[5])); + output[7] = 2 + * (((limb)((s32)in[3])) * ((s32)in[4]) + ((limb)((s32)in[2])) * ((s32)in[5]) + + ((limb)((s32)in[1])) * ((s32)in[6]) + ((limb)((s32)in[0])) * ((s32)in[7])); + output[8] = ((limb)((s32)in[4])) * ((s32)in[4]) + + 2 + * (((limb)((s32)in[2])) * ((s32)in[6]) + ((limb)((s32)in[0])) * ((s32)in[8]) + + 2 * (((limb)((s32)in[1])) * ((s32)in[7]) + ((limb)((s32)in[3])) * ((s32)in[5]))); + output[9] = 2 + * (((limb)((s32)in[4])) * ((s32)in[5]) + ((limb)((s32)in[3])) * ((s32)in[6]) + + ((limb)((s32)in[2])) * ((s32)in[7]) + ((limb)((s32)in[1])) * ((s32)in[8]) + + ((limb)((s32)in[0])) * ((s32)in[9])); + output[10] = 2 + * (((limb)((s32)in[5])) * ((s32)in[5]) + ((limb)((s32)in[4])) * ((s32)in[6]) + + ((limb)((s32)in[2])) * ((s32)in[8]) + + 2 * (((limb)((s32)in[3])) * ((s32)in[7]) + ((limb)((s32)in[1])) * ((s32)in[9]))); + output[11] = 2 + * (((limb)((s32)in[5])) * ((s32)in[6]) + ((limb)((s32)in[4])) * ((s32)in[7]) + + ((limb)((s32)in[3])) * ((s32)in[8]) + ((limb)((s32)in[2])) * ((s32)in[9])); + output[12] = ((limb)((s32)in[6])) * ((s32)in[6]) + + 2 + * (((limb)((s32)in[4])) * ((s32)in[8]) + + 2 * (((limb)((s32)in[5])) * ((s32)in[7]) + ((limb)((s32)in[3])) * ((s32)in[9]))); + output[13] = 2 + * (((limb)((s32)in[6])) * ((s32)in[7]) + ((limb)((s32)in[5])) * ((s32)in[8]) + + ((limb)((s32)in[4])) * ((s32)in[9])); + output[14] = 2 + * (((limb)((s32)in[7])) * ((s32)in[7]) + ((limb)((s32)in[6])) * ((s32)in[8]) + + 2 * ((limb)((s32)in[5])) * ((s32)in[9])); output[15] = 2 * (((limb)((s32)in[7])) * ((s32)in[8]) + ((limb)((s32)in[6])) * ((s32)in[9])); output[16] = ((limb)((s32)in[8])) * ((s32)in[8]) + 4 * ((limb)((s32)in[7])) * ((s32)in[9]); output[17] = 2 * ((limb)((s32)in[8])) * ((s32)in[9]); output[18] = 2 * ((limb)((s32)in[9])) * ((s32)in[9]); } -ZT_INLINE void fsquare(limb* output, const limb* in) +ZT_INLINE void fsquare(limb *output, const limb *in) { limb t[19]; fsquare_inner(t, in); - /* |t[i]| < 14*2^54 because the largest product of two limbs will be < - * 2^(27+27) and fsquare_inner adds together, at most, 14 of those - * products. */ freduce_degree(t); freduce_coefficients(t); - /* |t[i]| < 2^26 */ Utils::copy(output, t); } -ZT_INLINE void fexpand(limb* output, const u8* input) +ZT_INLINE void fexpand(limb *output, const u8 *input) { -#define F(n, start, shift, mask) output[n] = ((((limb)input[start + 0]) | ((limb)input[start + 1]) << 8 | ((limb)input[start + 2]) << 16 | ((limb)input[start + 3]) << 24) >> shift) & mask; +#define F(n, start, shift, mask) \ + output[n] = ((((limb)input[start + 0]) | ((limb)input[start + 1]) << 8 | ((limb)input[start + 2]) << 16 \ + | ((limb)input[start + 3]) << 24) \ + >> shift) \ + & mask F(0, 0, 0, 0x3ffffff); F(1, 3, 2, 0x1ffffff); F(2, 6, 3, 0x3ffffff); @@ -274,16 +294,13 @@ ZT_INLINE s32 s32_eq(s32 a, s32 b) ZT_INLINE s32 s32_gte(s32 a, s32 b) { a -= b; - /* a >= 0 iff a >= b. */ return ~(a >> 31); } -void fcontract(u8* output, limb* input_limbs) +void fcontract(u8 *output, limb *input_limbs) { - int i; - int j; - s32 input[10]; - s32 mask; + int i, j; + s32 input[10], mask; for (i = 0; i < 10; i++) { input[i] = input_limbs[i]; @@ -291,30 +308,30 @@ void fcontract(u8* output, limb* input_limbs) for (j = 0; j < 2; ++j) { for (i = 0; i < 9; ++i) { if ((i & 1) == 1) { - const s32 mm = input[i] >> 31; + const s32 mm = input[i] >> 31; const s32 carry = -((input[i] & mm) >> 25); - input[i] = input[i] + (carry << 25); - input[i + 1] = input[i + 1] - carry; + input[i] = input[i] + (carry << 25); + input[i + 1] = input[i + 1] - carry; } else { - const s32 mm = input[i] >> 31; + const s32 mm = input[i] >> 31; const s32 carry = -((input[i] & mm) >> 26); - input[i] = input[i] + (carry << 26); - input[i + 1] = input[i + 1] - carry; + input[i] = input[i] + (carry << 26); + input[i + 1] = input[i + 1] - carry; } } { - const s32 mm = input[9] >> 31; + const s32 mm = input[9] >> 31; const s32 carry = -((input[9] & mm) >> 25); - input[9] = input[9] + (carry << 25); - input[0] = input[0] - (carry * 19); + input[9] = input[9] + (carry << 25); + input[0] = input[0] - (carry * 19); } } { - const s32 mm = input[0] >> 31; + const s32 mm = input[0] >> 31; const s32 carry = -((input[0] & mm) >> 26); - input[0] = input[0] + (carry << 26); - input[1] = input[1] - carry; + input[0] = input[0] + (carry << 26); + input[1] = input[1] - carry; } for (j = 0; j < 2; j++) { for (i = 0; i < 9; i++) { @@ -362,13 +379,13 @@ void fcontract(u8* output, limb* input_limbs) input[7] <<= 3; input[8] <<= 4; input[9] <<= 6; -#define F(i, s) \ - output[s + 0] |= input[i] & 0xff; \ - output[s + 1] = (input[i] >> 8) & 0xff; \ - output[s + 2] = (input[i] >> 16) & 0xff; \ - output[s + 3] = (input[i] >> 24) & 0xff; - output[0] = 0; - output[16] = 0; +#define F(i, s) \ + output[s + 0] |= input[i] & 0xff; \ + output[s + 1] = (input[i] >> 8) & 0xff; \ + output[s + 2] = (input[i] >> 16) & 0xff; \ + output[s + 3] = (input[i] >> 24) & 0xff + output[0] = 0; + output[16] = 0; F(0, 0); F(1, 3); F(2, 6); @@ -383,111 +400,75 @@ void fcontract(u8* output, limb* input_limbs) } void fmonty( - limb* x2, - limb* z2, /* output 2Q */ - limb* x3, - limb* z3, /* output Q + Q' */ - limb* x, - limb* z, /* input Q */ - limb* xprime, - limb* zprime, /* input Q' */ - const limb* qmqp /* input Q - Q' */) + limb *x2, limb *z2, /* output 2Q */ + limb *x3, limb *z3, /* output Q + Q' */ + limb *x, limb *z, /* input Q */ + limb *xprime, limb *zprime, /* input Q' */ + const limb *qmqp /* input Q - Q' */) { limb origx[10], origxprime[10], zzz[19], xx[19], zz[19], xxprime[19], zzprime[19], zzzprime[19], xxxprime[19]; Utils::copy<10 * sizeof(limb)>(origx, x); fsum(x, z); - /* |x[i]| < 2^27 */ - fdifference(z, origx); /* does x - z */ - /* |z[i]| < 2^27 */ + fdifference(z, origx); Utils::copy(origxprime, xprime); fsum(xprime, zprime); - /* |xprime[i]| < 2^27 */ fdifference(zprime, origxprime); - /* |zprime[i]| < 2^27 */ fproduct(xxprime, xprime, z); - /* |xxprime[i]| < 14*2^54: the largest product of two limbs will be < - * 2^(27+27) and fproduct adds together, at most, 14 of those products. - * (Approximating that to 2^58 doesn't work out.) */ fproduct(zzprime, x, zprime); - /* |zzprime[i]| < 14*2^54 */ freduce_degree(xxprime); freduce_coefficients(xxprime); - /* |xxprime[i]| < 2^26 */ freduce_degree(zzprime); freduce_coefficients(zzprime); - /* |zzprime[i]| < 2^26 */ Utils::copy(origxprime, xxprime); fsum(xxprime, zzprime); - /* |xxprime[i]| < 2^27 */ fdifference(zzprime, origxprime); - /* |zzprime[i]| < 2^27 */ fsquare(xxxprime, xxprime); - /* |xxxprime[i]| < 2^26 */ fsquare(zzzprime, zzprime); - /* |zzzprime[i]| < 2^26 */ fproduct(zzprime, zzzprime, qmqp); - /* |zzprime[i]| < 14*2^52 */ freduce_degree(zzprime); freduce_coefficients(zzprime); - /* |zzprime[i]| < 2^26 */ Utils::copy(x3, xxxprime); Utils::copy(z3, zzprime); fsquare(xx, x); - /* |xx[i]| < 2^26 */ fsquare(zz, z); - /* |zz[i]| < 2^26 */ fproduct(x2, xx, zz); - /* |x2[i]| < 14*2^52 */ freduce_degree(x2); freduce_coefficients(x2); - /* |x2[i]| < 2^26 */ fdifference(zz, xx); // does zz = xx - zz - /* |zz[i]| < 2^27 */ Utils::zero(zzz + 10); fscalar_product(zzz, zz, 121665); - /* |zzz[i]| < 2^(27+17) */ - /* No need to call freduce_degree here: - fscalar_product doesn't increase the degree of its input. */ freduce_coefficients(zzz); - /* |zzz[i]| < 2^26 */ fsum(zzz, xx); - /* |zzz[i]| < 2^27 */ fproduct(z2, zz, zzz); - /* |z2[i]| < 14*2^(26+27) */ freduce_degree(z2); freduce_coefficients(z2); - /* |z2|i| < 2^26 */ } ZT_INLINE void swap_conditional(limb a[19], limb b[19], limb iswap) { - unsigned i; const s32 swap = (s32)-iswap; - - for (i = 0; i < 10; ++i) { + for (int i = 0; i < 10; ++i) { const s32 x = swap & (((s32)a[i]) ^ ((s32)b[i])); - a[i] = ((s32)a[i]) ^ x; - b[i] = ((s32)b[i]) ^ x; + a[i] = ((s32)a[i]) ^ x; + b[i] = ((s32)b[i]) ^ x; } } -void cmult(limb* resultx, limb* resultz, const u8* n, const limb* q) +void cmult(limb *resultx, limb *resultz, const u8 *n, const limb *q) { limb a[19] = { 0 }, b[19] = { 1 }, c[19] = { 1 }, d[19] = { 0 }; limb *nqpqx = a, *nqpqz = b, *nqx = c, *nqz = d, *t; limb e[19] = { 0 }, f[19] = { 1 }, g[19] = { 0 }, h[19] = { 1 }; limb *nqpqx2 = e, *nqpqz2 = f, *nqx2 = g, *nqz2 = h; - unsigned i, j; - Utils::copy(nqpqx, q); - for (i = 0; i < 32; ++i) { + for (int i = 0; i < 32; ++i) { u8 byte = n[31 - i]; - for (j = 0; j < 8; ++j) { + for (int j = 0; j < 8; ++j) { const limb bit = byte >> 7; swap_conditional(nqx, nqpqx, bit); @@ -496,17 +477,17 @@ void cmult(limb* resultx, limb* resultz, const u8* n, const limb* q) swap_conditional(nqx2, nqpqx2, bit); swap_conditional(nqz2, nqpqz2, bit); - t = nqx; - nqx = nqx2; - nqx2 = t; - t = nqz; - nqz = nqz2; - nqz2 = t; - t = nqpqx; - nqpqx = nqpqx2; + t = nqx; + nqx = nqx2; + nqx2 = t; + t = nqz; + nqz = nqz2; + nqz2 = t; + t = nqpqx; + nqpqx = nqpqx2; nqpqx2 = t; - t = nqpqz; - nqpqz = nqpqz2; + t = nqpqz; + nqpqz = nqpqz2; nqpqz2 = t; byte <<= 1; @@ -517,92 +498,73 @@ void cmult(limb* resultx, limb* resultz, const u8* n, const limb* q) Utils::copy(resultz, nqz); } -ZT_INLINE void crecip(limb* out, const limb* z) +ZT_INLINE void crecip(limb *out, const limb *z) { - limb z2[10]; - limb z9[10]; - limb z11[10]; - limb z2_5_0[10]; - limb z2_10_0[10]; - limb z2_20_0[10]; - limb z2_50_0[10]; - limb z2_100_0[10]; - limb t0[10]; - limb t1[10]; - int i; - - /* 2 */ fsquare(z2, z); - /* 4 */ fsquare(t1, z2); - /* 8 */ fsquare(t0, t1); - /* 9 */ fmul(z9, t0, z); - /* 11 */ fmul(z11, z9, z2); - /* 22 */ fsquare(t0, z11); - /* 2^5 - 2^0 = 31 */ fmul(z2_5_0, t0, z9); - - /* 2^6 - 2^1 */ fsquare(t0, z2_5_0); - /* 2^7 - 2^2 */ fsquare(t1, t0); - /* 2^8 - 2^3 */ fsquare(t0, t1); - /* 2^9 - 2^4 */ fsquare(t1, t0); - /* 2^10 - 2^5 */ fsquare(t0, t1); - /* 2^10 - 2^0 */ fmul(z2_10_0, t0, z2_5_0); - - /* 2^11 - 2^1 */ fsquare(t0, z2_10_0); - /* 2^12 - 2^2 */ fsquare(t1, t0); - /* 2^20 - 2^10 */ for (i = 2; i < 10; i += 2) { + limb z2[10], z9[10], z11[10], z2_5_0[10], z2_10_0[10], z2_20_0[10], z2_50_0[10], z2_100_0[10], t0[10], t1[10]; + fsquare(z2, z); + fsquare(t1, z2); + fsquare(t0, t1); + fmul(z9, t0, z); + fmul(z11, z9, z2); + fsquare(t0, z11); + fmul(z2_5_0, t0, z9); + fsquare(t0, z2_5_0); + fsquare(t1, t0); + fsquare(t0, t1); + fsquare(t1, t0); + fsquare(t0, t1); + fmul(z2_10_0, t0, z2_5_0); + fsquare(t0, z2_10_0); + fsquare(t1, t0); + for (int i = 2; i < 10; i += 2) { fsquare(t0, t1); fsquare(t1, t0); } - /* 2^20 - 2^0 */ fmul(z2_20_0, t1, z2_10_0); - - /* 2^21 - 2^1 */ fsquare(t0, z2_20_0); - /* 2^22 - 2^2 */ fsquare(t1, t0); - /* 2^40 - 2^20 */ for (i = 2; i < 20; i += 2) { + fmul(z2_20_0, t1, z2_10_0); + fsquare(t0, z2_20_0); + fsquare(t1, t0); + for (int i = 2; i < 20; i += 2) { fsquare(t0, t1); fsquare(t1, t0); } - /* 2^40 - 2^0 */ fmul(t0, t1, z2_20_0); - - /* 2^41 - 2^1 */ fsquare(t1, t0); - /* 2^42 - 2^2 */ fsquare(t0, t1); - /* 2^50 - 2^10 */ for (i = 2; i < 10; i += 2) { + fmul(t0, t1, z2_20_0); + fsquare(t1, t0); + fsquare(t0, t1); + for (int i = 2; i < 10; i += 2) { fsquare(t1, t0); fsquare(t0, t1); } - /* 2^50 - 2^0 */ fmul(z2_50_0, t0, z2_10_0); - - /* 2^51 - 2^1 */ fsquare(t0, z2_50_0); - /* 2^52 - 2^2 */ fsquare(t1, t0); - /* 2^100 - 2^50 */ for (i = 2; i < 50; i += 2) { + fmul(z2_50_0, t0, z2_10_0); + fsquare(t0, z2_50_0); + fsquare(t1, t0); + for (int i = 2; i < 50; i += 2) { fsquare(t0, t1); fsquare(t1, t0); } - /* 2^100 - 2^0 */ fmul(z2_100_0, t1, z2_50_0); - - /* 2^101 - 2^1 */ fsquare(t1, z2_100_0); - /* 2^102 - 2^2 */ fsquare(t0, t1); - /* 2^200 - 2^100 */ for (i = 2; i < 100; i += 2) { + fmul(z2_100_0, t1, z2_50_0); + fsquare(t1, z2_100_0); + fsquare(t0, t1); + for (int i = 2; i < 100; i += 2) { fsquare(t1, t0); fsquare(t0, t1); } - /* 2^200 - 2^0 */ fmul(t1, t0, z2_100_0); - - /* 2^201 - 2^1 */ fsquare(t0, t1); - /* 2^202 - 2^2 */ fsquare(t1, t0); - /* 2^250 - 2^50 */ for (i = 2; i < 50; i += 2) { + fmul(t1, t0, z2_100_0); + fsquare(t0, t1); + fsquare(t1, t0); + for (int i = 2; i < 50; i += 2) { fsquare(t0, t1); fsquare(t1, t0); } - /* 2^250 - 2^0 */ fmul(t0, t1, z2_50_0); - - /* 2^251 - 2^1 */ fsquare(t1, t0); - /* 2^252 - 2^2 */ fsquare(t0, t1); - /* 2^253 - 2^3 */ fsquare(t1, t0); - /* 2^254 - 2^4 */ fsquare(t0, t1); - /* 2^255 - 2^5 */ fsquare(t1, t0); - /* 2^255 - 21 */ fmul(out, t1, z11); + fmul(t0, t1, z2_50_0); + fsquare(t1, t0); + fsquare(t0, t1); + fsquare(t1, t0); + fsquare(t0, t1); + fsquare(t1, t0); + fmul(out, t1, z11); } -void crypto_scalarmult(u8* mypublic, const u8* secret, const u8* basepoint) +void crypto_scalarmult(u8 *mypublic, const u8 *secret, const u8 *basepoint) { limb bp[10], x[10], z[11], zmone[10]; uint8_t e[32]; @@ -621,11 +583,8 @@ void crypto_scalarmult(u8* mypublic, const u8* secret, const u8* basepoint) fcontract(mypublic, z); } -static const unsigned char base[32] = { 9 }; -ZT_INLINE void crypto_scalarmult_base(unsigned char* q, const unsigned char* n) -{ - crypto_scalarmult(q, n, base); -} +static const unsigned char s_base[32] = { 9 }; +ZT_INLINE void crypto_scalarmult_base(unsigned char *q, const unsigned char *n) { crypto_scalarmult(q, n, s_base); } // -------------------------------------------------------------------------------------------------------------------- @@ -640,73 +599,53 @@ typedef struct { } sc25519; typedef struct { - crypto_uint32 v[16]; -} shortsc25519; - -typedef struct { - fe25519 x; - fe25519 y; - fe25519 z; - fe25519 t; + fe25519 x, y, z, t; } ge25519; #define ge25519_p3 ge25519 typedef struct { - fe25519 x; - fe25519 z; - fe25519 y; - fe25519 t; + fe25519 x, z, y, t; } ge25519_p1p1; typedef struct { - fe25519 x; - fe25519 y; - fe25519 z; + fe25519 x, y, z; } ge25519_p2; typedef struct { - fe25519 x; - fe25519 y; + fe25519 x, y; } ge25519_aff; -void fe25519_sub(fe25519* r, const fe25519* x, const fe25519* y); +void fe25519_sub(fe25519 *r, const fe25519 *x, const fe25519 *y); -ZT_INLINE crypto_uint32 equal(crypto_uint32 a, crypto_uint32 b) /* 16-bit inputs */ +ZT_INLINE crypto_uint32 equal(crypto_uint32 a, crypto_uint32 b) { - crypto_uint32 x = a ^ b; /* 0: yes; 1..65535: no */ - x -= 1; /* 4294967295: yes; 0..65534: no */ - x >>= 31; /* 1: yes; 0: no */ + crypto_uint32 x = a ^ b; + x -= 1; + x >>= 31; return x; } -ZT_INLINE crypto_uint32 ge(crypto_uint32 a, crypto_uint32 b) /* 16-bit inputs */ +ZT_INLINE crypto_uint32 ge(crypto_uint32 a, crypto_uint32 b) { unsigned int x = a; - x -= (unsigned int)b; /* 0..65535: yes; 4294901761..4294967295: no */ - x >>= 31; /* 0: yes; 1: no */ - x ^= 1; /* 1: yes; 0: no */ + x -= (unsigned int)b; + x >>= 31; + x ^= 1; return x; } -ZT_INLINE crypto_uint32 times19(crypto_uint32 a) -{ - return (a << 4) + (a << 1) + a; -} -ZT_INLINE crypto_uint32 times38(crypto_uint32 a) -{ - return (a << 5) + (a << 2) + (a << 1); -} +ZT_INLINE crypto_uint32 times19(crypto_uint32 a) { return (a << 4) + (a << 1) + a; } +ZT_INLINE crypto_uint32 times38(crypto_uint32 a) { return (a << 5) + (a << 2) + (a << 1); } -void reduce_add_sub(fe25519* r) +void reduce_add_sub(fe25519 *r) { - int i, rep; - for (rep = 0; rep < 4; rep++) { + for (int rep = 0; rep < 4; rep++) { crypto_uint32 t = r->v[31] >> 7; r->v[31] &= 127; t = times19(t); r->v[0] += t; - for (i = 0; i < 31; i++) { + for (int i = 0; i < 31; i++) { t = r->v[i] >> 8; r->v[i + 1] += t; r->v[i] &= 255; @@ -714,15 +653,14 @@ void reduce_add_sub(fe25519* r) } } -ZT_INLINE void reduce_mul(fe25519* r) +ZT_INLINE void reduce_mul(fe25519 *r) { - int i, rep; - for (rep = 0; rep < 2; rep++) { + for (int rep = 0; rep < 2; rep++) { crypto_uint32 t = r->v[31] >> 7; r->v[31] &= 127; t = times19(t); r->v[0] += t; - for (i = 0; i < 31; i++) { + for (int i = 0; i < 31; i++) { t = r->v[i] >> 8; r->v[i + 1] += t; r->v[i] &= 255; @@ -730,292 +668,235 @@ ZT_INLINE void reduce_mul(fe25519* r) } } -void fe25519_freeze(fe25519* r) +void fe25519_freeze(fe25519 *r) { - int i; crypto_uint32 mm = equal(r->v[31], 127); - for (i = 30; i > 0; i--) + for (int i = 30; i > 0; i--) mm &= equal(r->v[i], 255); mm &= ge(r->v[0], 237); - mm = -mm; - r->v[31] -= mm & 127; - for (i = 30; i > 0; i--) + for (int i = 30; i > 0; i--) r->v[i] -= mm & 255; r->v[0] -= mm & 237; } -ZT_INLINE void fe25519_unpack(fe25519* r, const unsigned char x[32]) +ZT_INLINE void fe25519_unpack(fe25519 *r, const unsigned char x[32]) { - int i; - for (i = 0; i < 32; i++) + for (int i = 0; i < 32; i++) r->v[i] = x[i]; r->v[31] &= 127; } -ZT_INLINE void fe25519_pack(unsigned char r[32], const fe25519* x) +ZT_INLINE void fe25519_pack(unsigned char r[32], const fe25519 *x) { - int i; fe25519 y = *x; fe25519_freeze(&y); - for (i = 0; i < 32; i++) + for (int i = 0; i < 32; i++) r[i] = y.v[i]; } -ZT_INLINE int fe25519_iseq_vartime(const fe25519* x, const fe25519* y) +ZT_INLINE int fe25519_iseq_vartime(const fe25519 *x, const fe25519 *y) { - int i; fe25519 t1 = *x; fe25519 t2 = *y; fe25519_freeze(&t1); fe25519_freeze(&t2); - for (i = 0; i < 32; i++) + for (int i = 0; i < 32; i++) { if (t1.v[i] != t2.v[i]) return 0; + } return 1; } -ZT_INLINE void fe25519_cmov(fe25519* r, const fe25519* x, unsigned char b) +ZT_INLINE void fe25519_cmov(fe25519 *r, const fe25519 *x, unsigned char b) { - int i; crypto_uint32 mask = b; - mask = -mask; - for (i = 0; i < 32; i++) + mask = -mask; + for (int i = 0; i < 32; i++) r->v[i] ^= mask & (x->v[i] ^ r->v[i]); } -ZT_INLINE unsigned char fe25519_getparity(const fe25519* x) +ZT_INLINE unsigned char fe25519_getparity(const fe25519 *x) { fe25519 t = *x; fe25519_freeze(&t); return t.v[0] & 1; } -ZT_INLINE void fe25519_setone(fe25519* r) +ZT_INLINE void fe25519_setone(fe25519 *r) { - int i; r->v[0] = 1; - for (i = 1; i < 32; i++) + for (int i = 1; i < 32; i++) r->v[i] = 0; } -ZT_INLINE void fe25519_setzero(fe25519* r) +ZT_INLINE void fe25519_setzero(fe25519 *r) { - int i; - for (i = 0; i < 32; i++) + for (int i = 0; i < 32; i++) r->v[i] = 0; } -void fe25519_neg(fe25519* r, const fe25519* x) +void fe25519_neg(fe25519 *r, const fe25519 *x) { fe25519 t; - int i; - for (i = 0; i < 32; i++) + for (int i = 0; i < 32; i++) t.v[i] = x->v[i]; fe25519_setzero(r); fe25519_sub(r, r, &t); } -ZT_INLINE void fe25519_add(fe25519* r, const fe25519* x, const fe25519* y) +ZT_INLINE void fe25519_add(fe25519 *r, const fe25519 *x, const fe25519 *y) { - int i; - for (i = 0; i < 32; i++) + for (int i = 0; i < 32; i++) r->v[i] = x->v[i] + y->v[i]; reduce_add_sub(r); } -void fe25519_sub(fe25519* r, const fe25519* x, const fe25519* y) +void fe25519_sub(fe25519 *r, const fe25519 *x, const fe25519 *y) { - int i; crypto_uint32 t[32]; - t[0] = x->v[0] + 0x1da; + t[0] = x->v[0] + 0x1da; t[31] = x->v[31] + 0xfe; - for (i = 1; i < 31; i++) + for (int i = 1; i < 31; i++) t[i] = x->v[i] + 0x1fe; - for (i = 0; i < 32; i++) + for (int i = 0; i < 32; i++) r->v[i] = t[i] - y->v[i]; reduce_add_sub(r); } -void fe25519_mul(fe25519* r, const fe25519* x, const fe25519* y) +void fe25519_mul(fe25519 *r, const fe25519 *x, const fe25519 *y) { - int i, j; crypto_uint32 t[63]; - for (i = 0; i < 63; i++) + for (int i = 0; i < 63; i++) t[i] = 0; - - for (i = 0; i < 32; i++) - for (j = 0; j < 32; j++) + for (int i = 0; i < 32; i++) { + for (int j = 0; j < 32; j++) t[i + j] += x->v[i] * y->v[j]; - - for (i = 32; i < 63; i++) + } + for (int i = 32; i < 63; i++) r->v[i - 32] = t[i - 32] + times38(t[i]); - r->v[31] = t[31]; /* result now in r[0]...r[31] */ - + r->v[31] = t[31]; reduce_mul(r); } -ZT_INLINE void fe25519_square(fe25519* r, const fe25519* x) +ZT_INLINE void fe25519_square(fe25519 *r, const fe25519 *x) { fe25519_mul(r, x, x); } + +ZT_INLINE void fe25519_invert(fe25519 *r, const fe25519 *x) { - fe25519_mul(r, x, x); + fe25519 z2, z9, z11, z2_5_0, z2_10_0, z2_20_0, z2_50_0, z2_100_0, t0, t1; + fe25519_square(&z2, x); + fe25519_square(&t1, &z2); + fe25519_square(&t0, &t1); + fe25519_mul(&z9, &t0, x); + fe25519_mul(&z11, &z9, &z2); + fe25519_square(&t0, &z11); + fe25519_mul(&z2_5_0, &t0, &z9); + fe25519_square(&t0, &z2_5_0); + fe25519_square(&t1, &t0); + fe25519_square(&t0, &t1); + fe25519_square(&t1, &t0); + fe25519_square(&t0, &t1); + fe25519_mul(&z2_10_0, &t0, &z2_5_0); + fe25519_square(&t0, &z2_10_0); + fe25519_square(&t1, &t0); + for (int i = 2; i < 10; i += 2) { + fe25519_square(&t0, &t1); + fe25519_square(&t1, &t0); + } + fe25519_mul(&z2_20_0, &t1, &z2_10_0); + fe25519_square(&t0, &z2_20_0); + fe25519_square(&t1, &t0); + for (int i = 2; i < 20; i += 2) { + fe25519_square(&t0, &t1); + fe25519_square(&t1, &t0); + } + fe25519_mul(&t0, &t1, &z2_20_0); + fe25519_square(&t1, &t0); + fe25519_square(&t0, &t1); + for (int i = 2; i < 10; i += 2) { + fe25519_square(&t1, &t0); + fe25519_square(&t0, &t1); + } + fe25519_mul(&z2_50_0, &t0, &z2_10_0); + fe25519_square(&t0, &z2_50_0); + fe25519_square(&t1, &t0); + for (int i = 2; i < 50; i += 2) { + fe25519_square(&t0, &t1); + fe25519_square(&t1, &t0); + } + fe25519_mul(&z2_100_0, &t1, &z2_50_0); + fe25519_square(&t1, &z2_100_0); + fe25519_square(&t0, &t1); + for (int i = 2; i < 100; i += 2) { + fe25519_square(&t1, &t0); + fe25519_square(&t0, &t1); + } + fe25519_mul(&t1, &t0, &z2_100_0); + fe25519_square(&t0, &t1); + fe25519_square(&t1, &t0); + for (int i = 2; i < 50; i += 2) { + fe25519_square(&t0, &t1); + fe25519_square(&t1, &t0); + } + fe25519_mul(&t0, &t1, &z2_50_0); + fe25519_square(&t1, &t0); + fe25519_square(&t0, &t1); + fe25519_square(&t1, &t0); + fe25519_square(&t0, &t1); + fe25519_square(&t1, &t0); + fe25519_mul(r, &t1, &z11); } -ZT_INLINE void fe25519_invert(fe25519* r, const fe25519* x) +ZT_INLINE void fe25519_pow2523(fe25519 *r, const fe25519 *x) { - fe25519 z2; - fe25519 z9; - fe25519 z11; - fe25519 z2_5_0; - fe25519 z2_10_0; - fe25519 z2_20_0; - fe25519 z2_50_0; - fe25519 z2_100_0; - fe25519 t0; - fe25519 t1; - int i; - - /* 2 */ fe25519_square(&z2, x); - /* 4 */ fe25519_square(&t1, &z2); - /* 8 */ fe25519_square(&t0, &t1); - /* 9 */ fe25519_mul(&z9, &t0, x); - /* 11 */ fe25519_mul(&z11, &z9, &z2); - /* 22 */ fe25519_square(&t0, &z11); - /* 2^5 - 2^0 = 31 */ fe25519_mul(&z2_5_0, &t0, &z9); - - /* 2^6 - 2^1 */ fe25519_square(&t0, &z2_5_0); - /* 2^7 - 2^2 */ fe25519_square(&t1, &t0); - /* 2^8 - 2^3 */ fe25519_square(&t0, &t1); - /* 2^9 - 2^4 */ fe25519_square(&t1, &t0); - /* 2^10 - 2^5 */ fe25519_square(&t0, &t1); - /* 2^10 - 2^0 */ fe25519_mul(&z2_10_0, &t0, &z2_5_0); - - /* 2^11 - 2^1 */ fe25519_square(&t0, &z2_10_0); - /* 2^12 - 2^2 */ fe25519_square(&t1, &t0); - /* 2^20 - 2^10 */ for (i = 2; i < 10; i += 2) { - fe25519_square(&t0, &t1); - fe25519_square(&t1, &t0); - } - /* 2^20 - 2^0 */ fe25519_mul(&z2_20_0, &t1, &z2_10_0); - - /* 2^21 - 2^1 */ fe25519_square(&t0, &z2_20_0); - /* 2^22 - 2^2 */ fe25519_square(&t1, &t0); - /* 2^40 - 2^20 */ for (i = 2; i < 20; i += 2) { - fe25519_square(&t0, &t1); - fe25519_square(&t1, &t0); - } - /* 2^40 - 2^0 */ fe25519_mul(&t0, &t1, &z2_20_0); - - /* 2^41 - 2^1 */ fe25519_square(&t1, &t0); - /* 2^42 - 2^2 */ fe25519_square(&t0, &t1); - /* 2^50 - 2^10 */ for (i = 2; i < 10; i += 2) { - fe25519_square(&t1, &t0); - fe25519_square(&t0, &t1); - } - /* 2^50 - 2^0 */ fe25519_mul(&z2_50_0, &t0, &z2_10_0); - - /* 2^51 - 2^1 */ fe25519_square(&t0, &z2_50_0); - /* 2^52 - 2^2 */ fe25519_square(&t1, &t0); - /* 2^100 - 2^50 */ for (i = 2; i < 50; i += 2) { - fe25519_square(&t0, &t1); - fe25519_square(&t1, &t0); - } - /* 2^100 - 2^0 */ fe25519_mul(&z2_100_0, &t1, &z2_50_0); - - /* 2^101 - 2^1 */ fe25519_square(&t1, &z2_100_0); - /* 2^102 - 2^2 */ fe25519_square(&t0, &t1); - /* 2^200 - 2^100 */ for (i = 2; i < 100; i += 2) { - fe25519_square(&t1, &t0); - fe25519_square(&t0, &t1); - } - /* 2^200 - 2^0 */ fe25519_mul(&t1, &t0, &z2_100_0); - - /* 2^201 - 2^1 */ fe25519_square(&t0, &t1); - /* 2^202 - 2^2 */ fe25519_square(&t1, &t0); - /* 2^250 - 2^50 */ for (i = 2; i < 50; i += 2) { - fe25519_square(&t0, &t1); - fe25519_square(&t1, &t0); - } - /* 2^250 - 2^0 */ fe25519_mul(&t0, &t1, &z2_50_0); - - /* 2^251 - 2^1 */ fe25519_square(&t1, &t0); - /* 2^252 - 2^2 */ fe25519_square(&t0, &t1); - /* 2^253 - 2^3 */ fe25519_square(&t1, &t0); - /* 2^254 - 2^4 */ fe25519_square(&t0, &t1); - /* 2^255 - 2^5 */ fe25519_square(&t1, &t0); - /* 2^255 - 21 */ fe25519_mul(r, &t1, &z11); + fe25519 z2, z9, z11, z2_5_0, z2_10_0, z2_20_0, z2_50_0, z2_100_0, t; + fe25519_square(&z2, x); + fe25519_square(&t, &z2); + fe25519_square(&t, &t); + fe25519_mul(&z9, &t, x); + fe25519_mul(&z11, &z9, &z2); + fe25519_square(&t, &z11); + fe25519_mul(&z2_5_0, &t, &z9); + fe25519_square(&t, &z2_5_0); + for (int i = 1; i < 5; i++) + fe25519_square(&t, &t); + fe25519_mul(&z2_10_0, &t, &z2_5_0); + fe25519_square(&t, &z2_10_0); + for (int i = 1; i < 10; i++) + fe25519_square(&t, &t); + fe25519_mul(&z2_20_0, &t, &z2_10_0); + fe25519_square(&t, &z2_20_0); + for (int i = 1; i < 20; i++) + fe25519_square(&t, &t); + fe25519_mul(&t, &t, &z2_20_0); + fe25519_square(&t, &t); + for (int i = 1; i < 10; i++) + fe25519_square(&t, &t); + fe25519_mul(&z2_50_0, &t, &z2_10_0); + fe25519_square(&t, &z2_50_0); + for (int i = 1; i < 50; i++) + fe25519_square(&t, &t); + fe25519_mul(&z2_100_0, &t, &z2_50_0); + fe25519_square(&t, &z2_100_0); + for (int i = 1; i < 100; i++) + fe25519_square(&t, &t); + fe25519_mul(&t, &t, &z2_100_0); + fe25519_square(&t, &t); + for (int i = 1; i < 50; i++) + fe25519_square(&t, &t); + fe25519_mul(&t, &t, &z2_50_0); + fe25519_square(&t, &t); + fe25519_square(&t, &t); + fe25519_mul(r, &t, x); } -ZT_INLINE void fe25519_pow2523(fe25519* r, const fe25519* x) -{ - fe25519 z2; - fe25519 z9; - fe25519 z11; - fe25519 z2_5_0; - fe25519 z2_10_0; - fe25519 z2_20_0; - fe25519 z2_50_0; - fe25519 z2_100_0; - fe25519 t; - int i; - - /* 2 */ fe25519_square(&z2, x); - /* 4 */ fe25519_square(&t, &z2); - /* 8 */ fe25519_square(&t, &t); - /* 9 */ fe25519_mul(&z9, &t, x); - /* 11 */ fe25519_mul(&z11, &z9, &z2); - /* 22 */ fe25519_square(&t, &z11); - /* 2^5 - 2^0 = 31 */ fe25519_mul(&z2_5_0, &t, &z9); - - /* 2^6 - 2^1 */ fe25519_square(&t, &z2_5_0); - /* 2^10 - 2^5 */ for (i = 1; i < 5; i++) { - fe25519_square(&t, &t); - } - /* 2^10 - 2^0 */ fe25519_mul(&z2_10_0, &t, &z2_5_0); - - /* 2^11 - 2^1 */ fe25519_square(&t, &z2_10_0); - /* 2^20 - 2^10 */ for (i = 1; i < 10; i++) { - fe25519_square(&t, &t); - } - /* 2^20 - 2^0 */ fe25519_mul(&z2_20_0, &t, &z2_10_0); - - /* 2^21 - 2^1 */ fe25519_square(&t, &z2_20_0); - /* 2^40 - 2^20 */ for (i = 1; i < 20; i++) { - fe25519_square(&t, &t); - } - /* 2^40 - 2^0 */ fe25519_mul(&t, &t, &z2_20_0); - - /* 2^41 - 2^1 */ fe25519_square(&t, &t); - /* 2^50 - 2^10 */ for (i = 1; i < 10; i++) { - fe25519_square(&t, &t); - } - /* 2^50 - 2^0 */ fe25519_mul(&z2_50_0, &t, &z2_10_0); - - /* 2^51 - 2^1 */ fe25519_square(&t, &z2_50_0); - /* 2^100 - 2^50 */ for (i = 1; i < 50; i++) { - fe25519_square(&t, &t); - } - /* 2^100 - 2^0 */ fe25519_mul(&z2_100_0, &t, &z2_50_0); - - /* 2^101 - 2^1 */ fe25519_square(&t, &z2_100_0); - /* 2^200 - 2^100 */ for (i = 1; i < 100; i++) { - fe25519_square(&t, &t); - } - /* 2^200 - 2^0 */ fe25519_mul(&t, &t, &z2_100_0); - - /* 2^201 - 2^1 */ fe25519_square(&t, &t); - /* 2^250 - 2^50 */ for (i = 1; i < 50; i++) { - fe25519_square(&t, &t); - } - /* 2^250 - 2^0 */ fe25519_mul(&t, &t, &z2_50_0); - - /* 2^251 - 2^1 */ fe25519_square(&t, &t); - /* 2^252 - 2^2 */ fe25519_square(&t, &t); - /* 2^252 - 3 */ fe25519_mul(r, &t, x); -} - -const crypto_uint32 m[32] = { 0xED, 0xD3, 0xF5, 0x5C, 0x1A, 0x63, 0x12, 0x58, 0xD6, 0x9C, 0xF7, 0xA2, 0xDE, 0xF9, 0xDE, 0x14, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10 }; -const crypto_uint32 mu[33] = { 0x1B, 0x13, 0x2C, 0x0A, 0xA3, 0xE5, 0x9C, 0xED, 0xA7, 0x29, 0x63, 0x08, 0x5D, 0x21, 0x06, 0x21, 0xEB, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0F }; +const crypto_uint32 m[32] = { 0xED, 0xD3, 0xF5, 0x5C, 0x1A, 0x63, 0x12, 0x58, 0xD6, 0x9C, 0xF7, + 0xA2, 0xDE, 0xF9, 0xDE, 0x14, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10 }; +const crypto_uint32 mu[33] = { 0x1B, 0x13, 0x2C, 0x0A, 0xA3, 0xE5, 0x9C, 0xED, 0xA7, 0x29, 0x63, + 0x08, 0x5D, 0x21, 0x06, 0x21, 0xEB, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0F }; ZT_INLINE crypto_uint32 lt(crypto_uint32 a, crypto_uint32 b) /* 16-bit inputs */ { @@ -1025,7 +906,7 @@ ZT_INLINE crypto_uint32 lt(crypto_uint32 a, crypto_uint32 b) /* 16-bit inputs */ return x; } -void reduce_add_sub(sc25519* r) +void reduce_add_sub(sc25519 *r) { crypto_uint32 pb = 0; crypto_uint32 b; @@ -1035,21 +916,21 @@ void reduce_add_sub(sc25519* r) for (i = 0; i < 32; i++) { pb += m[i]; - b = lt(r->v[i], pb); + b = lt(r->v[i], pb); t[i] = r->v[i] - pb + (b << 8); - pb = b; + pb = b; } mask = b - 1; for (i = 0; i < 32; i++) r->v[i] ^= mask & (r->v[i] ^ t[i]); } -void barrett_reduce(sc25519* r, const crypto_uint32 x[64]) +void barrett_reduce(sc25519 *r, const crypto_uint32 x[64]) { /* See HAC, Alg. 14.42 */ int i, j; crypto_uint32 q2[66]; - crypto_uint32* q3 = q2 + 33; + crypto_uint32 *q3 = q2 + 33; crypto_uint32 r1[33]; crypto_uint32 r2[33]; crypto_uint32 pb = 0; @@ -1081,15 +962,15 @@ void barrett_reduce(sc25519* r, const crypto_uint32 x[64]) for (i = 0; i < 32; i++) { pb += r2[i]; crypto_uint32 b = lt(r1[i], pb); - r->v[i] = r1[i] - pb + (b << 8); - pb = b; + r->v[i] = r1[i] - pb + (b << 8); + pb = b; } reduce_add_sub(r); reduce_add_sub(r); } -ZT_INLINE void sc25519_from32bytes(sc25519* r, const unsigned char x[32]) +ZT_INLINE void sc25519_from32bytes(sc25519 *r, const unsigned char x[32]) { int i; crypto_uint32 t[64]; @@ -1100,7 +981,7 @@ ZT_INLINE void sc25519_from32bytes(sc25519* r, const unsigned char x[32]) barrett_reduce(r, t); } -ZT_INLINE void sc25519_from64bytes(sc25519* r, const unsigned char x[64]) +ZT_INLINE void sc25519_from64bytes(sc25519 *r, const unsigned char x[64]) { int i; crypto_uint32 t[64]; @@ -1109,14 +990,14 @@ ZT_INLINE void sc25519_from64bytes(sc25519* r, const unsigned char x[64]) barrett_reduce(r, t); } -ZT_INLINE void sc25519_to32bytes(unsigned char r[32], const sc25519* x) +ZT_INLINE void sc25519_to32bytes(unsigned char r[32], const sc25519 *x) { int i; for (i = 0; i < 32; i++) r[i] = x->v[i]; } -ZT_INLINE void sc25519_add(sc25519* r, const sc25519* x, const sc25519* y) +ZT_INLINE void sc25519_add(sc25519 *r, const sc25519 *x, const sc25519 *y) { int i; for (i = 0; i < 32; i++) @@ -1128,7 +1009,7 @@ ZT_INLINE void sc25519_add(sc25519* r, const sc25519* x, const sc25519* y) reduce_add_sub(r); } -ZT_INLINE void sc25519_mul(sc25519* r, const sc25519* x, const sc25519* y) +ZT_INLINE void sc25519_mul(sc25519 *r, const sc25519 *x, const sc25519 *y) { int i, j; crypto_uint32 t[64]; @@ -1147,7 +1028,7 @@ ZT_INLINE void sc25519_mul(sc25519* r, const sc25519* x, const sc25519* y) barrett_reduce(r, t); } -ZT_INLINE void sc25519_window3(signed char r[85], const sc25519* s) +ZT_INLINE void sc25519_window3(signed char r[85], const sc25519 *s) { char carry; int i; @@ -1182,11 +1063,11 @@ ZT_INLINE void sc25519_window3(signed char r[85], const sc25519* s) r[84] += carry; } -ZT_INLINE void sc25519_2interleave2(unsigned char r[127], const sc25519* s1, const sc25519* s2) +ZT_INLINE void sc25519_2interleave2(unsigned char r[127], const sc25519 *s1, const sc25519 *s2) { int i; for (i = 0; i < 31; i++) { - r[4 * i] = (s1->v[i] & 3) ^ ((s2->v[i] & 3) << 2); + r[4 * i] = (s1->v[i] & 3) ^ ((s2->v[i] & 3) << 2); r[4 * i + 1] = ((s1->v[i] >> 2) & 3) ^ (((s2->v[i] >> 2) & 3) << 2); r[4 * i + 2] = ((s1->v[i] >> 4) & 3) ^ (((s2->v[i] >> 4) & 3) << 2); r[4 * i + 3] = ((s1->v[i] >> 6) & 3) ^ (((s2->v[i] >> 6) & 3) << 2); @@ -1196,938 +1077,1790 @@ ZT_INLINE void sc25519_2interleave2(unsigned char r[127], const sc25519* s1, con r[126] = ((s1->v[31] >> 4) & 3) ^ (((s2->v[31] >> 4) & 3) << 2); } -/* d */ -static const fe25519 ge25519_ecd = { { 0xA3, 0x78, 0x59, 0x13, 0xCA, 0x4D, 0xEB, 0x75, 0xAB, 0xD8, 0x41, 0x41, 0x4D, 0x0A, 0x70, 0x00, 0x98, 0xE8, 0x79, 0x77, 0x79, 0x40, 0xC7, 0x8C, 0x73, 0xFE, 0x6F, 0x2B, 0xEE, 0x6C, 0x03, 0x52 } }; -/* 2*d */ -static const fe25519 ge25519_ec2d = { { 0x59, 0xF1, 0xB2, 0x26, 0x94, 0x9B, 0xD6, 0xEB, 0x56, 0xB1, 0x83, 0x82, 0x9A, 0x14, 0xE0, 0x00, 0x30, 0xD1, 0xF3, 0xEE, 0xF2, 0x80, 0x8E, 0x19, 0xE7, 0xFC, 0xDF, 0x56, 0xDC, 0xD9, 0x06, 0x24 } }; -/* sqrt(-1) */ -static const fe25519 ge25519_sqrtm1 = { { 0xB0, 0xA0, 0x0E, 0x4A, 0x27, 0x1B, 0xEE, 0xC4, 0x78, 0xE4, 0x2F, 0xAD, 0x06, 0x18, 0x43, 0x2F, 0xA7, 0xD7, 0xFB, 0x3D, 0x99, 0x00, 0x4D, 0x2B, 0x0B, 0xDF, 0xC1, 0x4F, 0x80, 0x24, 0x83, 0x2B } }; - -/* Packed coordinates of the base point */ -static const ge25519 ge25519_base = { { { 0x1A, 0xD5, 0x25, 0x8F, 0x60, 0x2D, 0x56, 0xC9, 0xB2, 0xA7, 0x25, 0x95, 0x60, 0xC7, 0x2C, 0x69, 0x5C, 0xDC, 0xD6, 0xFD, 0x31, 0xE2, 0xA4, 0xC0, 0xFE, 0x53, 0x6E, 0xCD, 0xD3, 0x36, 0x69, 0x21 } }, - { { 0x58, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66 } }, - { { 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 } }, - { { 0xA3, 0xDD, 0xB7, 0xA5, 0xB3, 0x8A, 0xDE, 0x6D, 0xF5, 0x52, 0x51, 0x77, 0x80, 0x9F, 0xF0, 0x20, 0x7D, 0xE3, 0xAB, 0x64, 0x8E, 0x4E, 0xEA, 0x66, 0x65, 0x76, 0x8B, 0xD7, 0x0F, 0x5F, 0x87, 0x67 } } }; - -/* Multiples of the base point in affine representation */ +static const fe25519 ge25519_ecd = { { 0xA3, 0x78, 0x59, 0x13, 0xCA, 0x4D, 0xEB, 0x75, 0xAB, 0xD8, 0x41, + 0x41, 0x4D, 0x0A, 0x70, 0x00, 0x98, 0xE8, 0x79, 0x77, 0x79, 0x40, + 0xC7, 0x8C, 0x73, 0xFE, 0x6F, 0x2B, 0xEE, 0x6C, 0x03, 0x52 } }; +static const fe25519 ge25519_ec2d = { { 0x59, 0xF1, 0xB2, 0x26, 0x94, 0x9B, 0xD6, 0xEB, 0x56, 0xB1, 0x83, + 0x82, 0x9A, 0x14, 0xE0, 0x00, 0x30, 0xD1, 0xF3, 0xEE, 0xF2, 0x80, + 0x8E, 0x19, 0xE7, 0xFC, 0xDF, 0x56, 0xDC, 0xD9, 0x06, 0x24 } }; +static const fe25519 ge25519_sqrtm1 = { { 0xB0, 0xA0, 0x0E, 0x4A, 0x27, 0x1B, 0xEE, 0xC4, 0x78, 0xE4, 0x2F, + 0xAD, 0x06, 0x18, 0x43, 0x2F, 0xA7, 0xD7, 0xFB, 0x3D, 0x99, 0x00, + 0x4D, 0x2B, 0x0B, 0xDF, 0xC1, 0x4F, 0x80, 0x24, 0x83, 0x2B } }; +static const ge25519 ge25519_base = { + { { 0x1A, 0xD5, 0x25, 0x8F, 0x60, 0x2D, 0x56, 0xC9, 0xB2, 0xA7, 0x25, 0x95, 0x60, 0xC7, 0x2C, 0x69, + 0x5C, 0xDC, 0xD6, 0xFD, 0x31, 0xE2, 0xA4, 0xC0, 0xFE, 0x53, 0x6E, 0xCD, 0xD3, 0x36, 0x69, 0x21 } }, + { { 0x58, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, + 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66 } }, + { { 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 } }, + { { 0xA3, 0xDD, 0xB7, 0xA5, 0xB3, 0x8A, 0xDE, 0x6D, 0xF5, 0x52, 0x51, 0x77, 0x80, 0x9F, 0xF0, 0x20, + 0x7D, 0xE3, 0xAB, 0x64, 0x8E, 0x4E, 0xEA, 0x66, 0x65, 0x76, 0x8B, 0xD7, 0x0F, 0x5F, 0x87, 0x67 } } }; static const ge25519_aff ge25519_base_multiples_affine[425] = { - { { { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 } }, - { { 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 } } }, - { { { 0x1a, 0xd5, 0x25, 0x8f, 0x60, 0x2d, 0x56, 0xc9, 0xb2, 0xa7, 0x25, 0x95, 0x60, 0xc7, 0x2c, 0x69, 0x5c, 0xdc, 0xd6, 0xfd, 0x31, 0xe2, 0xa4, 0xc0, 0xfe, 0x53, 0x6e, 0xcd, 0xd3, 0x36, 0x69, 0x21 } }, - { { 0x58, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66 } } }, - { { { 0x0e, 0xce, 0x43, 0x28, 0x4e, 0xa1, 0xc5, 0x83, 0x5f, 0xa4, 0xd7, 0x15, 0x45, 0x8e, 0x0d, 0x08, 0xac, 0xe7, 0x33, 0x18, 0x7d, 0x3b, 0x04, 0x3d, 0x6c, 0x04, 0x5a, 0x9f, 0x4c, 0x38, 0xab, 0x36 } }, - { { 0xc9, 0xa3, 0xf8, 0x6a, 0xae, 0x46, 0x5f, 0x0e, 0x56, 0x51, 0x38, 0x64, 0x51, 0x0f, 0x39, 0x97, 0x56, 0x1f, 0xa2, 0xc9, 0xe8, 0x5e, 0xa2, 0x1d, 0xc2, 0x29, 0x23, 0x09, 0xf3, 0xcd, 0x60, 0x22 } } }, - { { { 0x5c, 0xe2, 0xf8, 0xd3, 0x5f, 0x48, 0x62, 0xac, 0x86, 0x48, 0x62, 0x81, 0x19, 0x98, 0x43, 0x63, 0x3a, 0xc8, 0xda, 0x3e, 0x74, 0xae, 0xf4, 0x1f, 0x49, 0x8f, 0x92, 0x22, 0x4a, 0x9c, 0xae, 0x67 } }, - { { 0xd4, 0xb4, 0xf5, 0x78, 0x48, 0x68, 0xc3, 0x02, 0x04, 0x03, 0x24, 0x67, 0x17, 0xec, 0x16, 0x9f, 0xf7, 0x9e, 0x26, 0x60, 0x8e, 0xa1, 0x26, 0xa1, 0xab, 0x69, 0xee, 0x77, 0xd1, 0xb1, 0x67, 0x12 } } }, - { { { 0x70, 0xf8, 0xc9, 0xc4, 0x57, 0xa6, 0x3a, 0x49, 0x47, 0x15, 0xce, 0x93, 0xc1, 0x9e, 0x73, 0x1a, 0xf9, 0x20, 0x35, 0x7a, 0xb8, 0xd4, 0x25, 0x83, 0x46, 0xf1, 0xcf, 0x56, 0xdb, 0xa8, 0x3d, 0x20 } }, - { { 0x2f, 0x11, 0x32, 0xca, 0x61, 0xab, 0x38, 0xdf, 0xf0, 0x0f, 0x2f, 0xea, 0x32, 0x28, 0xf2, 0x4c, 0x6c, 0x71, 0xd5, 0x80, 0x85, 0xb8, 0x0e, 0x47, 0xe1, 0x95, 0x15, 0xcb, 0x27, 0xe8, 0xd0, 0x47 } } }, - { { { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 } }, - { { 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 } } }, - { { { 0xc8, 0x84, 0xa5, 0x08, 0xbc, 0xfd, 0x87, 0x3b, 0x99, 0x8b, 0x69, 0x80, 0x7b, 0xc6, 0x3a, 0xeb, 0x93, 0xcf, 0x4e, 0xf8, 0x5c, 0x2d, 0x86, 0x42, 0xb6, 0x71, 0xd7, 0x97, 0x5f, 0xe1, 0x42, 0x67 } }, - { { 0xb4, 0xb9, 0x37, 0xfc, 0xa9, 0x5b, 0x2f, 0x1e, 0x93, 0xe4, 0x1e, 0x62, 0xfc, 0x3c, 0x78, 0x81, 0x8f, 0xf3, 0x8a, 0x66, 0x09, 0x6f, 0xad, 0x6e, 0x79, 0x73, 0xe5, 0xc9, 0x00, 0x06, 0xd3, 0x21 } } }, - { { { 0xf8, 0xf9, 0x28, 0x6c, 0x6d, 0x59, 0xb2, 0x59, 0x74, 0x23, 0xbf, 0xe7, 0x33, 0x8d, 0x57, 0x09, 0x91, 0x9c, 0x24, 0x08, 0x15, 0x2b, 0xe2, 0xb8, 0xee, 0x3a, 0xe5, 0x27, 0x06, 0x86, 0xa4, 0x23 } }, - { { 0xeb, 0x27, 0x67, 0xc1, 0x37, 0xab, 0x7a, 0xd8, 0x27, 0x9c, 0x07, 0x8e, 0xff, 0x11, 0x6a, 0xb0, 0x78, 0x6e, 0xad, 0x3a, 0x2e, 0x0f, 0x98, 0x9f, 0x72, 0xc3, 0x7f, 0x82, 0xf2, 0x96, 0x96, 0x70 } } }, - { { { 0x81, 0x6b, 0x88, 0xe8, 0x1e, 0xc7, 0x77, 0x96, 0x0e, 0xa1, 0xa9, 0x52, 0xe0, 0xd8, 0x0e, 0x61, 0x9e, 0x79, 0x2d, 0x95, 0x9c, 0x8d, 0x96, 0xe0, 0x06, 0x40, 0x5d, 0x87, 0x28, 0x5f, 0x98, 0x70 } }, - { { 0xf1, 0x79, 0x7b, 0xed, 0x4f, 0x44, 0xb2, 0xe7, 0x08, 0x0d, 0xc2, 0x08, 0x12, 0xd2, 0x9f, 0xdf, 0xcd, 0x93, 0x20, 0x8a, 0xcf, 0x33, 0xca, 0x6d, 0x89, 0xb9, 0x77, 0xc8, 0x93, 0x1b, 0x4e, 0x60 } } }, - { { { 0x26, 0x4f, 0x7e, 0x97, 0xf6, 0x40, 0xdd, 0x4f, 0xfc, 0x52, 0x78, 0xf9, 0x90, 0x31, 0x03, 0xe6, 0x7d, 0x56, 0x39, 0x0b, 0x1d, 0x56, 0x82, 0x85, 0xf9, 0x1a, 0x42, 0x17, 0x69, 0x6c, 0xcf, 0x39 } }, - { { 0x69, 0xd2, 0x06, 0x3a, 0x4f, 0x39, 0x2d, 0xf9, 0x38, 0x40, 0x8c, 0x4c, 0xe7, 0x05, 0x12, 0xb4, 0x78, 0x8b, 0xf8, 0xc0, 0xec, 0x93, 0xde, 0x7a, 0x6b, 0xce, 0x2c, 0xe1, 0x0e, 0xa9, 0x34, 0x44 } } }, - { { { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 } }, - { { 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 } } }, - { { { 0x0b, 0xa4, 0x3c, 0xb0, 0x0f, 0x7a, 0x51, 0xf1, 0x78, 0xd6, 0xd9, 0x6a, 0xfd, 0x46, 0xe8, 0xb8, 0xa8, 0x79, 0x1d, 0x87, 0xf9, 0x90, 0xf2, 0x9c, 0x13, 0x29, 0xf8, 0x0b, 0x20, 0x64, 0xfa, 0x05 } }, - { { 0x26, 0x09, 0xda, 0x17, 0xaf, 0x95, 0xd6, 0xfb, 0x6a, 0x19, 0x0d, 0x6e, 0x5e, 0x12, 0xf1, 0x99, 0x4c, 0xaa, 0xa8, 0x6f, 0x79, 0x86, 0xf4, 0x72, 0x28, 0x00, 0x26, 0xf9, 0xea, 0x9e, 0x19, 0x3d } } }, - { { { 0x87, 0xdd, 0xcf, 0xf0, 0x5b, 0x49, 0xa2, 0x5d, 0x40, 0x7a, 0x23, 0x26, 0xa4, 0x7a, 0x83, 0x8a, 0xb7, 0x8b, 0xd2, 0x1a, 0xbf, 0xea, 0x02, 0x24, 0x08, 0x5f, 0x7b, 0xa9, 0xb1, 0xbe, 0x9d, 0x37 } }, - { { 0xfc, 0x86, 0x4b, 0x08, 0xee, 0xe7, 0xa0, 0xfd, 0x21, 0x45, 0x09, 0x34, 0xc1, 0x61, 0x32, 0x23, 0xfc, 0x9b, 0x55, 0x48, 0x53, 0x99, 0xf7, 0x63, 0xd0, 0x99, 0xce, 0x01, 0xe0, 0x9f, 0xeb, 0x28 } } }, - { { { 0x47, 0xfc, 0xab, 0x5a, 0x17, 0xf0, 0x85, 0x56, 0x3a, 0x30, 0x86, 0x20, 0x28, 0x4b, 0x8e, 0x44, 0x74, 0x3a, 0x6e, 0x02, 0xf1, 0x32, 0x8f, 0x9f, 0x3f, 0x08, 0x35, 0xe9, 0xca, 0x16, 0x5f, 0x6e } }, - { { 0x1c, 0x59, 0x1c, 0x65, 0x5d, 0x34, 0xa4, 0x09, 0xcd, 0x13, 0x9c, 0x70, 0x7d, 0xb1, 0x2a, 0xc5, 0x88, 0xaf, 0x0b, 0x60, 0xc7, 0x9f, 0x34, 0x8d, 0xd6, 0xb7, 0x7f, 0xea, 0x78, 0x65, 0x8d, 0x77 } } }, - { { { 0x56, 0xa5, 0xc2, 0x0c, 0xdd, 0xbc, 0xb8, 0x20, 0x6d, 0x57, 0x61, 0xb5, 0xfb, 0x78, 0xb5, 0xd4, 0x49, 0x54, 0x90, 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0xd6, 0x41, 0x42, + 0x6a, 0x82, 0xee, 0x14, 0xaa, 0x76, 0x30, 0x65, 0x0f, 0x67, 0x39, 0xa6, 0x51, 0x7c, 0x49, 0x24 } }, + { { 0x35, 0xa3, 0x78, 0xd1, 0x11, 0x0f, 0x75, 0xd3, 0x70, 0x46, 0xdb, 0x20, 0x51, 0xcb, 0x92, 0x80, + 0x54, 0x10, 0x74, 0x36, 0x86, 0xa9, 0xd7, 0xa3, 0x08, 0x78, 0xf1, 0x01, 0x29, 0xf8, 0x80, 0x3b } } }, + { { { 0xdb, 0xa7, 0x9d, 0x9d, 0xbf, 0xa0, 0xcc, 0xed, 0x53, 0xa2, 0xa2, 0x19, 0x39, 0x48, 0x83, 0x19, + 0x37, 0x58, 0xd1, 0x04, 0x28, 0x40, 0xf7, 0x8a, 0xc2, 0x08, 0xb7, 0xa5, 0x42, 0xcf, 0x53, 0x4c } }, + { { 0xa7, 0xbb, 0xf6, 0x8e, 0xad, 0xdd, 0xf7, 0x90, 0xdd, 0x5f, 0x93, 0x89, 0xae, 0x04, 0x37, 0xe6, + 0x9a, 0xb7, 0xe8, 0xc0, 0xdf, 0x16, 0x2a, 0xbf, 0xc4, 0x3a, 0x3c, 0x41, 0xd5, 0x89, 0x72, 0x5a } } }, + { { { 0x1f, 0x96, 0xff, 0x34, 0x2c, 0x13, 0x21, 0xcb, 0x0a, 0x89, 0x85, 0xbe, 0xb3, 0x70, 0x9e, 0x1e, + 0xde, 0x97, 0xaf, 0x96, 0x30, 0xf7, 0x48, 0x89, 0x40, 0x8d, 0x07, 0xf1, 0x25, 0xf0, 0x30, 0x58 } }, + { { 0x1e, 0xd4, 0x93, 0x57, 0xe2, 0x17, 0xe7, 0x9d, 0xab, 0x3c, 0x55, 0x03, 0x82, 0x2f, 0x2b, 0xdb, + 0x56, 0x1e, 0x30, 0x2e, 0x24, 0x47, 0x6e, 0xe6, 0xff, 0x33, 0x24, 0x2c, 0x75, 0x51, 0xd4, 0x67 } } }, + { { { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 } }, + { { 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 } } }, + { { { 0x2b, 0x06, 0xd9, 0xa1, 0x5d, 0xe1, 0xf4, 0xd1, 0x1e, 0x3c, 0x9a, 0xc6, 0x29, 0x2b, 0x13, 0x13, + 0x78, 0xc0, 0xd8, 0x16, 0x17, 0x2d, 0x9e, 0xa9, 0xc9, 0x79, 0x57, 0xab, 0x24, 0x91, 0x92, 0x19 } }, + { { 0x69, 0xfb, 0xa1, 0x9c, 0xa6, 0x75, 0x49, 0x7d, 0x60, 0x73, 0x40, 0x42, 0xc4, 0x13, 0x0a, 0x95, + 0x79, 0x1e, 0x04, 0x83, 0x94, 0x99, 0x9b, 0x1e, 0x0c, 0xe8, 0x1f, 0x54, 0xef, 0xcb, 0xc0, 0x52 } } }, + { { { 0x14, 0x89, 0x73, 0xa1, 0x37, 0x87, 0x6a, 0x7a, 0xcf, 0x1d, 0xd9, 0x2e, 0x1a, 0x67, 0xed, 0x74, + 0xc0, 0xf0, 0x9c, 0x33, 0xdd, 0xdf, 0x08, 0xbf, 0x7b, 0xd1, 0x66, 0xda, 0xe6, 0xc9, 0x49, 0x08 } }, + { { 0xe9, 0xdd, 0x5e, 0x55, 0xb0, 0x0a, 0xde, 0x21, 0x4c, 0x5a, 0x2e, 0xd4, 0x80, 0x3a, 0x57, 0x92, + 0x7a, 0xf1, 0xc4, 0x2c, 0x40, 0xaf, 0x2f, 0xc9, 0x92, 0x03, 0xe5, 0x5a, 0xbc, 0xdc, 0xf4, 0x09 } } }, + { { { 0xf3, 0xe1, 0x2b, 0x7c, 0x05, 0x86, 0x80, 0x93, 0x4a, 0xad, 0xb4, 0x8f, 0x7e, 0x99, 0x0c, 0xfd, + 0xcd, 0xef, 0xd1, 0xff, 0x2c, 0x69, 0x34, 0x13, 0x41, 0x64, 0xcf, 0x3b, 0xd0, 0x90, 0x09, 0x1e } }, + { { 0x9d, 0x45, 0xd6, 0x80, 0xe6, 0x45, 0xaa, 0xf4, 0x15, 0xaa, 0x5c, 0x34, 0x87, 0x99, 0xa2, 0x8c, + 0x26, 0x84, 0x62, 0x7d, 0xb6, 0x29, 0xc0, 0x52, 0xea, 0xf5, 0x81, 0x18, 0x0f, 0x35, 0xa9, 0x0e } } }, + { { { 0xe7, 0x20, 0x72, 0x7c, 0x6d, 0x94, 0x5f, 0x52, 0x44, 0x54, 0xe3, 0xf1, 0xb2, 0xb0, 0x36, 0x46, + 0x0f, 0xae, 0x92, 0xe8, 0x70, 0x9d, 0x6e, 0x79, 0xb1, 0xad, 0x37, 0xa9, 0x5f, 0xc0, 0xde, 0x03 } }, + { { 0x15, 0x55, 0x37, 0xc6, 0x1c, 0x27, 0x1c, 0x6d, 0x14, 0x4f, 0xca, 0xa4, 0xc4, 0x88, 0x25, 0x46, + 0x39, 0xfc, 0x5a, 0xe5, 0xfe, 0x29, 0x11, 0x69, 0xf5, 0x72, 0x84, 0x4d, 0x78, 0x9f, 0x94, 0x15 } } }, + { { { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 } }, + { { 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 } } }, + { { { 0xec, 0xd3, 0xff, 0x57, 0x0b, 0xb0, 0xb2, 0xdc, 0xf8, 0x4f, 0xe2, 0x12, 0xd5, 0x36, 0xbe, 0x6b, + 0x09, 0x43, 0x6d, 0xa3, 0x4d, 0x90, 0x2d, 0xb8, 0x74, 0xe8, 0x71, 0x45, 0x19, 0x8b, 0x0c, 0x6a } }, + { { 0xb8, 0x42, 0x1c, 0x03, 0xad, 0x2c, 0x03, 0x8e, 0xac, 0xd7, 0x98, 0x29, 0x13, 0xc6, 0x02, 0x29, + 0xb5, 0xd4, 0xe7, 0xcf, 0xcc, 0x8b, 0x83, 0xec, 0x35, 0xc7, 0x9c, 0x74, 0xb7, 0xad, 0x85, 0x5f } } }, + { { { 0x78, 0x84, 0xe1, 0x56, 0x45, 0x69, 0x68, 0x5a, 0x4f, 0xb8, 0xb1, 0x29, 0xff, 0x33, 0x03, 0x31, + 0xb7, 0xcb, 0x96, 0x25, 0xe6, 0xe6, 0x41, 0x98, 0x1a, 0xbb, 0x03, 0x56, 0xf2, 0xb2, 0x91, 0x34 } }, + { { 0x2c, 0x6c, 0xf7, 0x66, 0xa4, 0x62, 0x6b, 0x39, 0xb3, 0xba, 0x65, 0xd3, 0x1c, 0xf8, 0x11, 0xaa, + 0xbe, 0xdc, 0x80, 0x59, 0x87, 0xf5, 0x7b, 0xe5, 0xe3, 0xb3, 0x3e, 0x39, 0xda, 0xbe, 0x88, 0x09 } } }, + { { { 0x8b, 0xf1, 0xa0, 0xf5, 0xdc, 0x29, 0xb4, 0xe2, 0x07, 0xc6, 0x7a, 0x00, 0xd0, 0x89, 0x17, 0x51, + 0xd4, 0xbb, 0xd4, 0x22, 0xea, 0x7e, 0x7d, 0x7c, 0x24, 0xea, 0xf2, 0xe8, 0x22, 0x12, 0x95, 0x06 } }, + { { 0xda, 0x7c, 0xa4, 0x0c, 0xf4, 0xba, 0x6e, 0xe1, 0x89, 0xb5, 0x59, 0xca, 0xf1, 0xc0, 0x29, 0x36, + 0x09, 0x44, 0xe2, 0x7f, 0xd1, 0x63, 0x15, 0x99, 0xea, 0x25, 0xcf, 0x0c, 0x9d, 0xc0, 0x44, 0x6f } } }, + { { { 0x1d, 0x86, 0x4e, 0xcf, 0xf7, 0x37, 0x10, 0x25, 0x8f, 0x12, 0xfb, 0x19, 0xfb, 0xe0, 0xed, 0x10, + 0xc8, 0xe2, 0xf5, 0x75, 0xb1, 0x33, 0xc0, 0x96, 0x0d, 0xfb, 0x15, 0x6c, 0x0d, 0x07, 0x5f, 0x05 } }, + { { 0x69, 0x3e, 0x47, 0x97, 0x2c, 0xaf, 0x52, 0x7c, 0x78, 0x83, 0xad, 0x1b, 0x39, 0x82, 0x2f, 0x02, + 0x6f, 0x47, 0xdb, 0x2a, 0xb0, 0xe1, 0x91, 0x99, 0x55, 0xb8, 0x99, 0x3a, 0xa0, 0x44, 0x11, 0x51 } } } }; -ZT_INLINE void p1p1_to_p2(ge25519_p2* r, const ge25519_p1p1* p) +ZT_INLINE void p1p1_to_p2(ge25519_p2 *r, const ge25519_p1p1 *p) { fe25519_mul(&r->x, &p->x, &p->t); fe25519_mul(&r->y, &p->y, &p->z); fe25519_mul(&r->z, &p->z, &p->t); } -ZT_INLINE void p1p1_to_p2_2(ge25519_p3* r, const ge25519_p1p1* p) +ZT_INLINE void p1p1_to_p2_2(ge25519_p3 *r, const ge25519_p1p1 *p) { fe25519_mul(&r->x, &p->x, &p->t); fe25519_mul(&r->y, &p->y, &p->z); fe25519_mul(&r->z, &p->z, &p->t); } -ZT_INLINE void p1p1_to_p3(ge25519_p3* r, const ge25519_p1p1* p) +ZT_INLINE void p1p1_to_p3(ge25519_p3 *r, const ge25519_p1p1 *p) { p1p1_to_p2_2(r, p); fe25519_mul(&r->t, &p->x, &p->y); } -ZT_INLINE void ge25519_mixadd2(ge25519_p3* r, const ge25519_aff* q) +ZT_INLINE void ge25519_mixadd2(ge25519_p3 *r, const ge25519_aff *q) { fe25519 a, b, t1, t2, c, d, e, f, g, h, qt; fe25519_mul(&qt, &q->x, &q->y); - fe25519_sub(&a, &r->y, &r->x); /* A = (Y1-X1)*(Y2-X2) */ - fe25519_add(&b, &r->y, &r->x); /* B = (Y1+X1)*(Y2+X2) */ + fe25519_sub(&a, &r->y, &r->x); + fe25519_add(&b, &r->y, &r->x); fe25519_sub(&t1, &q->y, &q->x); fe25519_add(&t2, &q->y, &q->x); fe25519_mul(&a, &a, &t1); fe25519_mul(&b, &b, &t2); - fe25519_sub(&e, &b, &a); /* E = B-A */ - fe25519_add(&h, &b, &a); /* H = B+A */ - fe25519_mul(&c, &r->t, &qt); /* C = T1*k*T2 */ + fe25519_sub(&e, &b, &a); + fe25519_add(&h, &b, &a); + fe25519_mul(&c, &r->t, &qt); fe25519_mul(&c, &c, &ge25519_ec2d); - fe25519_add(&d, &r->z, &r->z); /* D = Z1*2 */ - fe25519_sub(&f, &d, &c); /* F = D-C */ - fe25519_add(&g, &d, &c); /* G = D+C */ + fe25519_add(&d, &r->z, &r->z); + fe25519_sub(&f, &d, &c); + fe25519_add(&g, &d, &c); fe25519_mul(&r->x, &e, &f); fe25519_mul(&r->y, &h, &g); fe25519_mul(&r->z, &g, &f); fe25519_mul(&r->t, &e, &h); } -ZT_INLINE void add_p1p1(ge25519_p1p1* r, const ge25519_p3* p, const ge25519_p3* q) +ZT_INLINE void add_p1p1(ge25519_p1p1 *r, const ge25519_p3 *p, const ge25519_p3 *q) { fe25519 a, b, c, d, t; - - fe25519_sub(&a, &p->y, &p->x); /* A = (Y1-X1)*(Y2-X2) */ + fe25519_sub(&a, &p->y, &p->x); fe25519_sub(&t, &q->y, &q->x); fe25519_mul(&a, &a, &t); - fe25519_add(&b, &p->x, &p->y); /* B = (Y1+X1)*(Y2+X2) */ + fe25519_add(&b, &p->x, &p->y); fe25519_add(&t, &q->x, &q->y); fe25519_mul(&b, &b, &t); - fe25519_mul(&c, &p->t, &q->t); /* C = T1*k*T2 */ + fe25519_mul(&c, &p->t, &q->t); fe25519_mul(&c, &c, &ge25519_ec2d); - fe25519_mul(&d, &p->z, &q->z); /* D = Z1*2*Z2 */ + fe25519_mul(&d, &p->z, &q->z); fe25519_add(&d, &d, &d); - fe25519_sub(&r->x, &b, &a); /* E = B-A */ - fe25519_sub(&r->t, &d, &c); /* F = D-C */ - fe25519_add(&r->z, &d, &c); /* G = D+C */ - fe25519_add(&r->y, &b, &a); /* H = B+A */ + fe25519_sub(&r->x, &b, &a); + fe25519_sub(&r->t, &d, &c); + fe25519_add(&r->z, &d, &c); + fe25519_add(&r->y, &b, &a); } -/* See http://www.hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html#doubling-dbl-2008-hwcd */ -ZT_INLINE void dbl_p1p1(ge25519_p1p1* r, const ge25519_p2* p) +ZT_INLINE void dbl_p1p1(ge25519_p1p1 *r, const ge25519_p2 *p) { fe25519 a, b, c, d; fe25519_square(&a, &p->x); @@ -2135,7 +2868,6 @@ ZT_INLINE void dbl_p1p1(ge25519_p1p1* r, const ge25519_p2* p) fe25519_square(&c, &p->z); fe25519_add(&c, &c, &c); fe25519_neg(&d, &a); - fe25519_add(&r->x, &p->x, &p->y); fe25519_square(&r->x, &r->x); fe25519_sub(&r->x, &r->x, &a); @@ -2145,8 +2877,7 @@ ZT_INLINE void dbl_p1p1(ge25519_p1p1* r, const ge25519_p2* p) fe25519_sub(&r->y, &d, &b); } -/* Constant-time version of: if(b) r = p */ -ZT_INLINE void cmov_aff(ge25519_aff* r, const ge25519_aff* p, unsigned char b) +ZT_INLINE void cmov_aff(ge25519_aff *r, const ge25519_aff *p, unsigned char b) { fe25519_cmov(&r->x, &p->x, b); fe25519_cmov(&r->y, &p->y, b); @@ -2154,25 +2885,22 @@ ZT_INLINE void cmov_aff(ge25519_aff* r, const ge25519_aff* p, unsigned char b) ZT_INLINE unsigned char equal(signed char b, signed char c) { - unsigned char ub = b; - unsigned char uc = c; - unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */ - crypto_uint32 y = x; /* 0: yes; 1..255: no */ - y -= 1; /* 4294967295: yes; 0..254: no */ - y >>= 31; /* 1: yes; 0: no */ + unsigned char ub = b, uc = c, x = ub ^ uc; + crypto_uint32 y = x; + y -= 1; + y >>= 31; return (unsigned char)y; } ZT_INLINE unsigned char negative(signed char b) { - unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */ - x >>= 63; /* 1: yes; 0: no */ + unsigned long long x = b; + x >>= 63; return (unsigned char)x; } -ZT_INLINE void choose_t(ge25519_aff* t, unsigned long long pos, signed char b) +ZT_INLINE void choose_t(ge25519_aff *t, unsigned long long pos, signed char b) { - /* constant time */ fe25519 v; *t = ge25519_base_multiples_affine[5 * pos + 0]; cmov_aff(t, &ge25519_base_multiples_affine[5 * pos + 1], equal(b, 1) | equal(b, -1)); @@ -2183,7 +2911,7 @@ ZT_INLINE void choose_t(ge25519_aff* t, unsigned long long pos, signed char b) fe25519_cmov(&t->x, &v, negative(b)); } -ZT_INLINE void setneutral(ge25519* r) +ZT_INLINE void setneutral(ge25519 *r) { fe25519_setzero(&r->x); fe25519_setone(&r->y); @@ -2191,55 +2919,42 @@ ZT_INLINE void setneutral(ge25519* r) fe25519_setzero(&r->t); } -/* return 0 on success, -1 otherwise */ -ZT_INLINE int ge25519_unpackneg_vartime(ge25519_p3* r, const unsigned char p[32]) +ZT_INLINE int ge25519_unpackneg_vartime(ge25519_p3 *r, const unsigned char p[32]) { unsigned char par; fe25519 t, chk, num, den, den2, den4, den6; fe25519_setone(&r->z); par = p[31] >> 7; fe25519_unpack(&r->y, p); - fe25519_square(&num, &r->y); /* x = y^2 */ - fe25519_mul(&den, &num, &ge25519_ecd); /* den = dy^2 */ - fe25519_sub(&num, &num, &r->z); /* x = y^2-1 */ - fe25519_add(&den, &r->z, &den); /* den = dy^2+1 */ - - /* Computation of sqrt(num/den) */ - /* 1.: computation of num^((p-5)/8)*den^((7p-35)/8) = (num*den^7)^((p-5)/8) */ + fe25519_square(&num, &r->y); + fe25519_mul(&den, &num, &ge25519_ecd); + fe25519_sub(&num, &num, &r->z); + fe25519_add(&den, &r->z, &den); fe25519_square(&den2, &den); fe25519_square(&den4, &den2); fe25519_mul(&den6, &den4, &den2); fe25519_mul(&t, &den6, &num); fe25519_mul(&t, &t, &den); - fe25519_pow2523(&t, &t); - /* 2. computation of r->x = t * num * den^3 */ fe25519_mul(&t, &t, &num); fe25519_mul(&t, &t, &den); fe25519_mul(&t, &t, &den); fe25519_mul(&r->x, &t, &den); - - /* 3. Check whether sqrt computation gave correct result, multiply by sqrt(-1) if not: */ fe25519_square(&chk, &r->x); fe25519_mul(&chk, &chk, &den); - if (! fe25519_iseq_vartime(&chk, &num)) + if (!fe25519_iseq_vartime(&chk, &num)) fe25519_mul(&r->x, &r->x, &ge25519_sqrtm1); - - /* 4. Now we have one of the two square roots, except if input was not a square */ fe25519_square(&chk, &r->x); fe25519_mul(&chk, &chk, &den); - if (! fe25519_iseq_vartime(&chk, &num)) + if (!fe25519_iseq_vartime(&chk, &num)) return -1; - - /* 5. Choose the desired square root according to parity: */ if (fe25519_getparity(&r->x) != (1 - par)) fe25519_neg(&r->x, &r->x); - fe25519_mul(&r->t, &r->x, &r->y); return 0; } -void ge25519_pack(unsigned char r[32], const ge25519_p3* p) +void ge25519_pack(unsigned char r[32], const ge25519_p3 *p) { fe25519 tx, ty, zi; fe25519_invert(&zi, &p->z); @@ -2249,19 +2964,16 @@ void ge25519_pack(unsigned char r[32], const ge25519_p3* p) r[31] ^= fe25519_getparity(&tx) << 7; } -/* computes [s1]p1 + [s2]p2 */ -ZT_INLINE void ge25519_double_scalarmult_vartime(ge25519_p3* r, const ge25519_p3* p1, const sc25519* s1, const ge25519_p3* p2, const sc25519* s2) +ZT_INLINE void ge25519_double_scalarmult_vartime( + ge25519_p3 *r, const ge25519_p3 *p1, const sc25519 *s1, const ge25519_p3 *p2, const sc25519 *s2) { ge25519_p1p1 tp1p1; ge25519_p3 pre[16]; - char* pre5 = (char*)(&(pre[5])); // eliminate type punning warning + char *pre5 = (char *)(&(pre[5])); unsigned char b[127]; - int i; - - /* precomputation s2 s1 */ setneutral(pre); /* 00 00 */ pre[1] = *p1; /* 00 01 */ - dbl_p1p1(&tp1p1, (ge25519_p2*)p1); + dbl_p1p1(&tp1p1, (ge25519_p2 *)p1); p1p1_to_p3(&pre[2], &tp1p1); /* 00 10 */ add_p1p1(&tp1p1, &pre[1], &pre[2]); p1p1_to_p3(&pre[3], &tp1p1); /* 00 11 */ @@ -2272,11 +2984,11 @@ ZT_INLINE void ge25519_double_scalarmult_vartime(ge25519_p3* r, const ge25519_p3 p1p1_to_p3(&pre[6], &tp1p1); /* 01 10 */ add_p1p1(&tp1p1, &pre[3], &pre[4]); p1p1_to_p3(&pre[7], &tp1p1); /* 01 11 */ - dbl_p1p1(&tp1p1, (ge25519_p2*)p2); + dbl_p1p1(&tp1p1, (ge25519_p2 *)p2); p1p1_to_p3(&pre[8], &tp1p1); /* 10 00 */ add_p1p1(&tp1p1, &pre[1], &pre[8]); p1p1_to_p3(&pre[9], &tp1p1); /* 10 01 */ - dbl_p1p1(&tp1p1, (ge25519_p2*)pre5); + dbl_p1p1(&tp1p1, (ge25519_p2 *)pre5); p1p1_to_p3(&pre[10], &tp1p1); /* 10 10 */ add_p1p1(&tp1p1, &pre[3], &pre[8]); p1p1_to_p3(&pre[11], &tp1p1); /* 10 11 */ @@ -2288,53 +3000,47 @@ ZT_INLINE void ge25519_double_scalarmult_vartime(ge25519_p3* r, const ge25519_p3 p1p1_to_p3(&pre[14], &tp1p1); /* 11 10 */ add_p1p1(&tp1p1, &pre[3], &pre[12]); p1p1_to_p3(&pre[15], &tp1p1); /* 11 11 */ - sc25519_2interleave2(b, s1, s2); - - /* scalar multiplication */ *r = pre[b[126]]; - for (i = 125; i >= 0; i--) { - dbl_p1p1(&tp1p1, (ge25519_p2*)r); - p1p1_to_p2((ge25519_p2*)r, &tp1p1); - dbl_p1p1(&tp1p1, (ge25519_p2*)r); + for (int i = 125; i >= 0; i--) { + dbl_p1p1(&tp1p1, (ge25519_p2 *)r); + p1p1_to_p2((ge25519_p2 *)r, &tp1p1); + dbl_p1p1(&tp1p1, (ge25519_p2 *)r); if (b[i] != 0) { p1p1_to_p3(r, &tp1p1); add_p1p1(&tp1p1, r, &pre[b[i]]); } if (i != 0) - p1p1_to_p2((ge25519_p2*)r, &tp1p1); + p1p1_to_p2((ge25519_p2 *)r, &tp1p1); else p1p1_to_p3(r, &tp1p1); } } -void ge25519_scalarmult_base(ge25519_p3* r, const sc25519* s) +void ge25519_scalarmult_base(ge25519_p3 *r, const sc25519 *s) { signed char b[85]; - int i; ge25519_aff t; sc25519_window3(b, s); - - choose_t((ge25519_aff*)r, 0, b[0]); + choose_t((ge25519_aff *)r, 0, b[0]); fe25519_setone(&r->z); fe25519_mul(&r->t, &r->x, &r->y); - for (i = 1; i < 85; i++) { + for (int i = 1; i < 85; i++) { choose_t(&t, (unsigned long long)i, b[i]); ge25519_mixadd2(r, &t); } } -ZT_INLINE void get_hram(unsigned char* hram, const unsigned char* sm, const unsigned char* pk, unsigned char* playground, unsigned long long smlen) +ZT_INLINE void get_hram( + unsigned char *hram, const unsigned char *sm, const unsigned char *pk, unsigned char *playground, + unsigned long long smlen) { - unsigned long long i; - - for (i = 0; i < 32; ++i) + for (int i = 0; i < 32; ++i) playground[i] = sm[i]; - for (i = 32; i < 64; ++i) + for (int i = 32; i < 64; ++i) playground[i] = pk[i - 32]; - for (i = 64; i < smlen; ++i) + for (int i = 64; i < smlen; ++i) playground[i] = sm[i]; - ZeroTier::SHA512(hram, playground, (unsigned int)smlen); } @@ -2344,7 +3050,7 @@ ZT_INLINE void get_hram(unsigned char* hram, const unsigned char* sm, const unsi namespace ZeroTier { -void C25519::generateCombined(uint8_t* pub, uint8_t* priv) +void C25519::generateCombined(uint8_t *pub, uint8_t *priv) { Utils::getSecureRandom(priv, ZT_C25519_COMBINED_PRIVATE_KEY_SIZE); s_calcPubDH(pub, priv); @@ -2357,12 +3063,16 @@ void C25519::generateC25519(uint8_t pub[ZT_C25519_ECDH_PUBLIC_KEY_SIZE], uint8_t s_calcPubDH(pub, priv); } -void C25519::agree(const uint8_t mine[ZT_C25519_ECDH_PRIVATE_KEY_SIZE], const uint8_t their[ZT_C25519_ECDH_PUBLIC_KEY_SIZE], uint8_t rawkey[ZT_C25519_ECDH_SHARED_SECRET_SIZE]) +void C25519::agree( + const uint8_t mine[ZT_C25519_ECDH_PRIVATE_KEY_SIZE], const uint8_t their[ZT_C25519_ECDH_PUBLIC_KEY_SIZE], + uint8_t rawkey[ZT_C25519_ECDH_SHARED_SECRET_SIZE]) { crypto_scalarmult(rawkey, mine, their); } -void C25519::sign(const uint8_t myPrivate[ZT_C25519_COMBINED_PRIVATE_KEY_SIZE], const uint8_t myPublic[ZT_C25519_COMBINED_PUBLIC_KEY_SIZE], const void* msg, unsigned int len, void* signature) +void C25519::sign( + const uint8_t myPrivate[ZT_C25519_COMBINED_PRIVATE_KEY_SIZE], + const uint8_t myPublic[ZT_C25519_COMBINED_PUBLIC_KEY_SIZE], const void *msg, unsigned int len, void *signature) { unsigned char digest[64]; // we sign the first 32 bytes of SHA-512(msg) SHA512(digest, msg, len); @@ -2374,7 +3084,7 @@ void C25519::sign(const uint8_t myPrivate[ZT_C25519_COMBINED_PRIVATE_KEY_SIZE], unsigned char extsk[64]; unsigned char hmg[crypto_hash_sha512_BYTES]; unsigned char hram[crypto_hash_sha512_BYTES]; - unsigned char* sig = (unsigned char*)signature; + unsigned char *sig = (unsigned char *)signature; SHA512(extsk, myPrivate + 32, 32); extsk[0] &= 248; @@ -2410,17 +3120,19 @@ void C25519::sign(const uint8_t myPrivate[ZT_C25519_COMBINED_PRIVATE_KEY_SIZE], sig[32 + i] = s[i]; } -bool C25519::verify(const uint8_t their[ZT_C25519_COMBINED_PUBLIC_KEY_SIZE], const void* msg, unsigned int len, const void* signature, const unsigned int siglen) +bool C25519::verify( + const uint8_t their[ZT_C25519_COMBINED_PUBLIC_KEY_SIZE], const void *msg, unsigned int len, const void *signature, + const unsigned int siglen) { if (siglen < 64) return false; - const unsigned char* sig = (const unsigned char*)signature; + const unsigned char *sig = (const unsigned char *)signature; unsigned char digest[64]; // we sign the first 32 bytes of SHA-512(msg) unsigned char sigtmp[96]; SHA512(digest, msg, len); - if ((siglen == 96) && (! Utils::secureEq(sig + 64, digest, 32))) { + if ((siglen == 96) && (!Utils::secureEq(sig + 64, digest, 32))) { return false; } else if (siglen == 64) { @@ -2450,14 +3162,14 @@ bool C25519::verify(const uint8_t their[ZT_C25519_COMBINED_PUBLIC_KEY_SIZE], con return Utils::secureEq(sig, t2, 32); } -void C25519::s_calcPubDH(uint8_t* pub, const uint8_t* priv) +void C25519::s_calcPubDH(uint8_t *pub, const uint8_t *priv) { // First 32 bytes of pub and priv are the keys for ECDH key // agreement. This generates the public portion from the private. crypto_scalarmult_base(pub, priv); } -void C25519::s_calcPubED(uint8_t* pub, const uint8_t* priv) +void C25519::s_calcPubED(uint8_t *pub, const uint8_t *priv) { struct { uint8_t extsk[64]; diff --git a/core/InetAddress.cpp b/core/InetAddress.cpp index 4e2002609..ab829b7f4 100644 --- a/core/InetAddress.cpp +++ b/core/InetAddress.cpp @@ -20,12 +20,19 @@ namespace ZeroTier { -static_assert(ZT_SOCKADDR_STORAGE_SIZE == sizeof(sockaddr_storage), "ZT_SOCKADDR_STORAGE_SIZE is incorrect on this platform, must be size of sockaddr_storage"); -static_assert(ZT_SOCKADDR_STORAGE_SIZE == sizeof(InetAddress), "ZT_SOCKADDR_STORAGE_SIZE should equal InetAddress, which should equal size of sockaddr_storage"); -static_assert(ZT_SOCKADDR_STORAGE_SIZE == sizeof(ZT_InetAddress), "ZT_SOCKADDR_STORAGE_SIZE should equal ZT_InetAddress, which should equal size of sockaddr_storage"); +static_assert( + ZT_SOCKADDR_STORAGE_SIZE == sizeof(sockaddr_storage), + "ZT_SOCKADDR_STORAGE_SIZE is incorrect on this platform, must be size of sockaddr_storage"); +static_assert( + ZT_SOCKADDR_STORAGE_SIZE == sizeof(InetAddress), + "ZT_SOCKADDR_STORAGE_SIZE should equal InetAddress, which should equal size of sockaddr_storage"); +static_assert( + ZT_SOCKADDR_STORAGE_SIZE == sizeof(ZT_InetAddress), + "ZT_SOCKADDR_STORAGE_SIZE should equal ZT_InetAddress, which should equal size of sockaddr_storage"); -const InetAddress InetAddress::LO4((const void*)("\x7f\x00\x00\x01"), 4, 0); -const InetAddress InetAddress::LO6((const void*)("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x01"), 16, 0); +const InetAddress InetAddress::LO4((const void *)("\x7f\x00\x00\x01"), 4, 0); +const InetAddress + InetAddress::LO6((const void *)("\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x01"), 16, 0); const InetAddress InetAddress::NIL; InetAddress::IpScope InetAddress::ipScope() const noexcept @@ -34,31 +41,27 @@ InetAddress::IpScope InetAddress::ipScope() const noexcept case AF_INET: { const uint32_t ip = Utils::ntoh((uint32_t)as.sa_in.sin_addr.s_addr); switch (ip >> 24U) { - case 0x00: - return ZT_IP_SCOPE_NONE; // 0.0.0.0/8 (reserved, never used) - case 0x06: - return ZT_IP_SCOPE_PSEUDOPRIVATE; // 6.0.0.0/8 (US Army) - case 0x0a: - return ZT_IP_SCOPE_PRIVATE; // 10.0.0.0/8 - case 0x15: // return IP_SCOPE_PSEUDOPRIVATE; // 21.0.0.0/8 (US DDN-RVN) - case 0x16: // return IP_SCOPE_PSEUDOPRIVATE; // 22.0.0.0/8 (US DISA) - case 0x19: // return IP_SCOPE_PSEUDOPRIVATE; // 25.0.0.0/8 (UK Ministry of - // Defense) - case 0x1a: // return IP_SCOPE_PSEUDOPRIVATE; // 26.0.0.0/8 (US DISA) - case 0x1c: // return IP_SCOPE_PSEUDOPRIVATE; // 28.0.0.0/8 (US DSI-North) - case 0x1d: // return IP_SCOPE_PSEUDOPRIVATE; // 29.0.0.0/8 (US DISA) - case 0x1e: // return IP_SCOPE_PSEUDOPRIVATE; // 30.0.0.0/8 (US DISA) - case 0x33: // return IP_SCOPE_PSEUDOPRIVATE; // 51.0.0.0/8 (UK Department of - // Social Security) - case 0x37: // return IP_SCOPE_PSEUDOPRIVATE; // 55.0.0.0/8 (US DoD) - case 0x38: // 56.0.0.0/8 (US Postal Service) + case 0x00: return ZT_IP_SCOPE_NONE; // 0.0.0.0/8 (reserved, never used) + case 0x06: return ZT_IP_SCOPE_PSEUDOPRIVATE; // 6.0.0.0/8 (US Army) + case 0x0a: return ZT_IP_SCOPE_PRIVATE; // 10.0.0.0/8 + case 0x15: // return IP_SCOPE_PSEUDOPRIVATE; // 21.0.0.0/8 (US DDN-RVN) + case 0x16: // return IP_SCOPE_PSEUDOPRIVATE; // 22.0.0.0/8 (US DISA) + case 0x19: // return IP_SCOPE_PSEUDOPRIVATE; // 25.0.0.0/8 (UK Ministry of + // Defense) + case 0x1a: // return IP_SCOPE_PSEUDOPRIVATE; // 26.0.0.0/8 (US DISA) + case 0x1c: // return IP_SCOPE_PSEUDOPRIVATE; // 28.0.0.0/8 (US DSI-North) + case 0x1d: // return IP_SCOPE_PSEUDOPRIVATE; // 29.0.0.0/8 (US DISA) + case 0x1e: // return IP_SCOPE_PSEUDOPRIVATE; // 30.0.0.0/8 (US DISA) + case 0x33: // return IP_SCOPE_PSEUDOPRIVATE; // 51.0.0.0/8 (UK Department of + // Social Security) + case 0x37: // return IP_SCOPE_PSEUDOPRIVATE; // 55.0.0.0/8 (US DoD) + case 0x38: // 56.0.0.0/8 (US Postal Service) return ZT_IP_SCOPE_PSEUDOPRIVATE; case 0x64: if ((ip & 0xffc00000) == 0x64400000) return ZT_IP_SCOPE_PRIVATE; // 100.64.0.0/10 break; - case 0x7f: - return ZT_IP_SCOPE_LOOPBACK; // 127.0.0.0/8 + case 0x7f: return ZT_IP_SCOPE_LOOPBACK; // 127.0.0.0/8 case 0xa9: if ((ip & 0xffff0000) == 0xa9fe0000) return ZT_IP_SCOPE_LINK_LOCAL; // 169.254.0.0/16 @@ -83,26 +86,23 @@ InetAddress::IpScope InetAddress::ipScope() const noexcept if ((ip & 0xffffff00) == 0xcb007100) return ZT_IP_SCOPE_PRIVATE; // 203.0.113.0/24 break; - case 0xff: - return ZT_IP_SCOPE_NONE; // 255.0.0.0/8 (broadcast, or unused/unusable) + case 0xff: return ZT_IP_SCOPE_NONE; // 255.0.0.0/8 (broadcast, or unused/unusable) } switch (ip >> 28U) { - case 0xe: - return ZT_IP_SCOPE_MULTICAST; // 224.0.0.0/4 - case 0xf: - return ZT_IP_SCOPE_PSEUDOPRIVATE; // 240.0.0.0/4 ("reserved," usually unusable) + case 0xe: return ZT_IP_SCOPE_MULTICAST; // 224.0.0.0/4 + case 0xf: return ZT_IP_SCOPE_PSEUDOPRIVATE; // 240.0.0.0/4 ("reserved," usually unusable) } return ZT_IP_SCOPE_GLOBAL; } case AF_INET6: { - const uint8_t* const ip = as.sa_in6.sin6_addr.s6_addr; + const uint8_t *const ip = as.sa_in6.sin6_addr.s6_addr; if ((ip[0] & 0xf0U) == 0xf0) { if (ip[0] == 0xff) return ZT_IP_SCOPE_MULTICAST; // ff00::/8 if ((ip[0] == 0xfe) && ((ip[1] & 0xc0U) == 0x80)) { unsigned int k = 2; - while ((! ip[k]) && (k < 15)) + while ((!ip[k]) && (k < 15)) ++k; if ((k == 15) && (ip[15] == 0x01)) return ZT_IP_SCOPE_LOOPBACK; // fe80::1/128 @@ -113,7 +113,7 @@ InetAddress::IpScope InetAddress::ipScope() const noexcept return ZT_IP_SCOPE_PRIVATE; // fc00::/7 } unsigned int k = 0; - while ((! ip[k]) && (k < 15)) + while ((!ip[k]) && (k < 15)) ++k; if (k == 15) { // all 0's except last byte if (ip[15] == 0x01) @@ -127,17 +127,17 @@ InetAddress::IpScope InetAddress::ipScope() const noexcept return ZT_IP_SCOPE_NONE; } -void InetAddress::set(const void* ipBytes, unsigned int ipLen, unsigned int port) noexcept +void InetAddress::set(const void *ipBytes, unsigned int ipLen, unsigned int port) noexcept { memoryZero(this); if (ipLen == 4) { - as.sa_in.sin_family = AF_INET; - as.sa_in.sin_port = Utils::hton((uint16_t)port); + as.sa_in.sin_family = AF_INET; + as.sa_in.sin_port = Utils::hton((uint16_t)port); as.sa_in.sin_addr.s_addr = Utils::loadMachineEndian(ipBytes); } else if (ipLen == 16) { as.sa_in6.sin6_family = AF_INET6; - as.sa_in6.sin6_port = Utils::hton((uint16_t)port); + as.sa_in6.sin6_port = Utils::hton((uint16_t)port); Utils::copy<16>(as.sa_in6.sin6_addr.s6_addr, ipBytes); } } @@ -145,8 +145,7 @@ void InetAddress::set(const void* ipBytes, unsigned int ipLen, unsigned int port bool InetAddress::isDefaultRoute() const noexcept { switch (as.ss.ss_family) { - case AF_INET: - return ((as.sa_in.sin_port == 0) && (as.sa_in.sin_addr.s_addr == 0)); + case AF_INET: return ((as.sa_in.sin_port == 0) && (as.sa_in.sin_addr.s_addr == 0)); case AF_INET6: if (as.sa_in6.sin6_port == 0) { for (unsigned int i = 0; i < 16; ++i) { @@ -156,14 +155,13 @@ bool InetAddress::isDefaultRoute() const noexcept return true; } return false; - default: - return false; + default: return false; } } -char* InetAddress::toString(char buf[ZT_INETADDRESS_STRING_SIZE_MAX]) const noexcept +char *InetAddress::toString(char buf[ZT_INETADDRESS_STRING_SIZE_MAX]) const noexcept { - char* p = toIpString(buf); + char *p = toIpString(buf); if (*p) { while (*p) ++p; @@ -173,49 +171,45 @@ char* InetAddress::toString(char buf[ZT_INETADDRESS_STRING_SIZE_MAX]) const noex return buf; } -char* InetAddress::toIpString(char buf[ZT_INETADDRESS_STRING_SIZE_MAX]) const noexcept +char *InetAddress::toIpString(char buf[ZT_INETADDRESS_STRING_SIZE_MAX]) const noexcept { buf[0] = (char)0; switch (as.ss.ss_family) { - case AF_INET: - inet_ntop(AF_INET, &as.sa_in.sin_addr.s_addr, buf, INET_ADDRSTRLEN); - break; - case AF_INET6: - inet_ntop(AF_INET6, as.sa_in6.sin6_addr.s6_addr, buf, INET6_ADDRSTRLEN); - break; + case AF_INET: inet_ntop(AF_INET, &as.sa_in.sin_addr.s_addr, buf, INET_ADDRSTRLEN); break; + case AF_INET6: inet_ntop(AF_INET6, as.sa_in6.sin6_addr.s6_addr, buf, INET6_ADDRSTRLEN); break; } return buf; } -bool InetAddress::fromString(const char* ipSlashPort) noexcept +bool InetAddress::fromString(const char *ipSlashPort) noexcept { char buf[64]; memoryZero(this); - if (! *ipSlashPort) + if (!*ipSlashPort) return true; - if (! Utils::scopy(buf, sizeof(buf), ipSlashPort)) + if (!Utils::scopy(buf, sizeof(buf), ipSlashPort)) return false; - char* portAt = buf; + char *portAt = buf; while ((*portAt) && (*portAt != '/')) ++portAt; unsigned int port = 0; if (*portAt) { *(portAt++) = (char)0; - port = Utils::strToUInt(portAt) & 0xffffU; + port = Utils::strToUInt(portAt) & 0xffffU; } if (strchr(buf, ':')) { as.sa_in6.sin6_family = AF_INET6; - as.sa_in6.sin6_port = Utils::hton((uint16_t)port); + as.sa_in6.sin6_port = Utils::hton((uint16_t)port); inet_pton(AF_INET6, buf, as.sa_in6.sin6_addr.s6_addr); return true; } else if (strchr(buf, '.')) { as.sa_in.sin_family = AF_INET; - as.sa_in.sin_port = Utils::hton((uint16_t)port); + as.sa_in.sin_port = Utils::hton((uint16_t)port); inet_pton(AF_INET, buf, &as.sa_in.sin_addr.s_addr); return true; } @@ -227,14 +221,13 @@ InetAddress InetAddress::netmask() const noexcept { InetAddress r(*this); switch (r.as.ss.ss_family) { - case AF_INET: - r.as.sa_in.sin_addr.s_addr = Utils::hton((uint32_t)(0xffffffffU << (32 - netmaskBits()))); - break; + case AF_INET: r.as.sa_in.sin_addr.s_addr = Utils::hton((uint32_t)(0xffffffffU << (32 - netmaskBits()))); break; case AF_INET6: { uint64_t nm[2]; const unsigned int bits = netmaskBits(); if (bits) { - nm[0] = Utils::hton((uint64_t)((bits >= 64) ? 0xffffffffffffffffULL : (0xffffffffffffffffULL << (64 - bits)))); + nm[0] = Utils::hton( + (uint64_t)((bits >= 64) ? 0xffffffffffffffffULL : (0xffffffffffffffffULL << (64 - bits)))); nm[1] = Utils::hton((uint64_t)((bits <= 64) ? 0ULL : (0xffffffffffffffffULL << (128 - bits)))); } else { @@ -251,7 +244,7 @@ InetAddress InetAddress::broadcast() const noexcept { if (as.ss.ss_family == AF_INET) { InetAddress r(*this); - reinterpret_cast(&r)->sin_addr.s_addr |= Utils::hton((uint32_t)(0xffffffffU >> netmaskBits())); + reinterpret_cast(&r)->sin_addr.s_addr |= Utils::hton((uint32_t)(0xffffffffU >> netmaskBits())); return r; } return InetAddress(); @@ -261,14 +254,13 @@ InetAddress InetAddress::network() const noexcept { InetAddress r(*this); switch (r.as.ss.ss_family) { - case AF_INET: - r.as.sa_in.sin_addr.s_addr &= Utils::hton((uint32_t)(0xffffffffU << (32 - netmaskBits()))); - break; + case AF_INET: r.as.sa_in.sin_addr.s_addr &= Utils::hton((uint32_t)(0xffffffffU << (32 - netmaskBits()))); break; case AF_INET6: { uint64_t nm[2]; const unsigned int bits = netmaskBits(); - Utils::copy<16>(nm, reinterpret_cast(&r)->sin6_addr.s6_addr); - nm[0] &= Utils::hton((uint64_t)((bits >= 64) ? 0xffffffffffffffffULL : (0xffffffffffffffffULL << (64 - bits)))); + Utils::copy<16>(nm, reinterpret_cast(&r)->sin6_addr.s6_addr); + nm[0] &= + Utils::hton((uint64_t)((bits >= 64) ? 0xffffffffffffffffULL : (0xffffffffffffffffULL << (64 - bits)))); nm[1] &= Utils::hton((uint64_t)((bits <= 64) ? 0ULL : (0xffffffffffffffffULL << (128 - bits)))); Utils::copy<16>(r.as.sa_in6.sin6_addr.s6_addr, nm); } break; @@ -276,17 +268,17 @@ InetAddress InetAddress::network() const noexcept return r; } -bool InetAddress::isEqualPrefix(const InetAddress& addr) const noexcept +bool InetAddress::isEqualPrefix(const InetAddress &addr) const noexcept { if (addr.as.ss.ss_family == as.ss.ss_family) { switch (as.ss.ss_family) { case AF_INET6: { const InetAddress mask(netmask()); InetAddress addr_mask(addr.netmask()); - const uint8_t* const n = addr_mask.as.sa_in6.sin6_addr.s6_addr; - const uint8_t* const m = mask.as.sa_in6.sin6_addr.s6_addr; - const uint8_t* const a = addr.as.sa_in6.sin6_addr.s6_addr; - const uint8_t* const b = as.sa_in6.sin6_addr.s6_addr; + const uint8_t *const n = addr_mask.as.sa_in6.sin6_addr.s6_addr; + const uint8_t *const m = mask.as.sa_in6.sin6_addr.s6_addr; + const uint8_t *const a = addr.as.sa_in6.sin6_addr.s6_addr; + const uint8_t *const b = as.sa_in6.sin6_addr.s6_addr; for (unsigned int i = 0; i < 16; ++i) { if ((a[i] & m[i]) != (b[i] & n[i])) return false; @@ -298,7 +290,7 @@ bool InetAddress::isEqualPrefix(const InetAddress& addr) const noexcept return false; } -bool InetAddress::containsAddress(const InetAddress& addr) const noexcept +bool InetAddress::containsAddress(const InetAddress &addr) const noexcept { if (addr.as.ss.ss_family == as.ss.ss_family) { switch (as.ss.ss_family) { @@ -306,13 +298,15 @@ bool InetAddress::containsAddress(const InetAddress& addr) const noexcept const unsigned int bits = netmaskBits(); if (bits == 0) return true; - return ((Utils::ntoh((uint32_t)addr.as.sa_in.sin_addr.s_addr) >> (32 - bits)) == (Utils::ntoh((uint32_t)as.sa_in.sin_addr.s_addr) >> (32 - bits))); + return ( + (Utils::ntoh((uint32_t)addr.as.sa_in.sin_addr.s_addr) >> (32 - bits)) + == (Utils::ntoh((uint32_t)as.sa_in.sin_addr.s_addr) >> (32 - bits))); } case AF_INET6: { const InetAddress mask(netmask()); - const uint8_t* const m = mask.as.sa_in6.sin6_addr.s6_addr; - const uint8_t* const a = addr.as.sa_in6.sin6_addr.s6_addr; - const uint8_t* const b = as.sa_in6.sin6_addr.s6_addr; + const uint8_t *const m = mask.as.sa_in6.sin6_addr.s6_addr; + const uint8_t *const a = addr.as.sa_in6.sin6_addr.s6_addr; + const uint8_t *const b = as.sa_in6.sin6_addr.s6_addr; for (unsigned int i = 0; i < 16; ++i) { if ((a[i] & m[i]) != b[i]) return false; @@ -342,8 +336,8 @@ bool InetAddress::isNetwork() const noexcept return false; if (bits >= 128) return false; - const uint8_t* const ip = as.sa_in6.sin6_addr.s6_addr; - unsigned int p = bits / 8; + const uint8_t *const ip = as.sa_in6.sin6_addr.s6_addr; + unsigned int p = bits / 8; if ((ip[p++] & (0xffU >> (bits % 8))) != 0) return false; while (p < 16) { @@ -361,70 +355,66 @@ int InetAddress::marshal(uint8_t data[ZT_INETADDRESS_MARSHAL_SIZE_MAX]) const no unsigned int port; switch (as.ss.ss_family) { case AF_INET: - port = Utils::ntoh((uint16_t) reinterpret_cast(this)->sin_port); + port = Utils::ntoh((uint16_t) reinterpret_cast(this)->sin_port); data[0] = 4; - data[1] = reinterpret_cast(&as.sa_in.sin_addr.s_addr)[0]; - data[2] = reinterpret_cast(&as.sa_in.sin_addr.s_addr)[1]; - data[3] = reinterpret_cast(&as.sa_in.sin_addr.s_addr)[2]; - data[4] = reinterpret_cast(&as.sa_in.sin_addr.s_addr)[3]; + data[1] = reinterpret_cast(&as.sa_in.sin_addr.s_addr)[0]; + data[2] = reinterpret_cast(&as.sa_in.sin_addr.s_addr)[1]; + data[3] = reinterpret_cast(&as.sa_in.sin_addr.s_addr)[2]; + data[4] = reinterpret_cast(&as.sa_in.sin_addr.s_addr)[3]; data[5] = (uint8_t)(port >> 8U); data[6] = (uint8_t)port; return 7; case AF_INET6: - port = Utils::ntoh((uint16_t)as.sa_in6.sin6_port); + port = Utils::ntoh((uint16_t)as.sa_in6.sin6_port); data[0] = 6; Utils::copy<16>(data + 1, as.sa_in6.sin6_addr.s6_addr); data[17] = (uint8_t)(port >> 8U); data[18] = (uint8_t)port; return 19; - default: - data[0] = 0; - return 1; + default: data[0] = 0; return 1; } } -int InetAddress::unmarshal(const uint8_t* restrict data, const int len) noexcept +int InetAddress::unmarshal(const uint8_t *restrict data, const int len) noexcept { memoryZero(this); if (unlikely(len <= 0)) return -1; switch (data[0]) { - case 0: - return 1; + case 0: return 1; case 4: if (unlikely(len < 7)) return -1; - as.sa_in.sin_family = AF_INET; - as.sa_in.sin_port = Utils::loadMachineEndian(data + 5); + as.sa_in.sin_family = AF_INET; + as.sa_in.sin_port = Utils::loadMachineEndian(data + 5); as.sa_in.sin_addr.s_addr = Utils::loadMachineEndian(data + 1); return 7; case 6: if (unlikely(len < 19)) return -1; as.sa_in6.sin6_family = AF_INET6; - as.sa_in6.sin6_port = Utils::loadMachineEndian(data + 17); + as.sa_in6.sin6_port = Utils::loadMachineEndian(data + 17); Utils::copy<16>(as.sa_in6.sin6_addr.s6_addr, data + 1); return 19; - default: - return -1; + default: return -1; } } -InetAddress InetAddress::makeIpv6LinkLocal(const MAC& mac) noexcept +InetAddress InetAddress::makeIpv6LinkLocal(const MAC &mac) noexcept { InetAddress r; - r.as.sa_in6.sin6_family = AF_INET6; - r.as.sa_in6.sin6_port = ZT_CONST_TO_BE_UINT16(64); - r.as.sa_in6.sin6_addr.s6_addr[0] = 0xfe; - r.as.sa_in6.sin6_addr.s6_addr[1] = 0x80; - r.as.sa_in6.sin6_addr.s6_addr[2] = 0x00; - r.as.sa_in6.sin6_addr.s6_addr[3] = 0x00; - r.as.sa_in6.sin6_addr.s6_addr[4] = 0x00; - r.as.sa_in6.sin6_addr.s6_addr[5] = 0x00; - r.as.sa_in6.sin6_addr.s6_addr[6] = 0x00; - r.as.sa_in6.sin6_addr.s6_addr[7] = 0x00; - r.as.sa_in6.sin6_addr.s6_addr[8] = mac[0] & 0xfdU; - r.as.sa_in6.sin6_addr.s6_addr[9] = mac[1]; + r.as.sa_in6.sin6_family = AF_INET6; + r.as.sa_in6.sin6_port = ZT_CONST_TO_BE_UINT16(64); + r.as.sa_in6.sin6_addr.s6_addr[0] = 0xfe; + r.as.sa_in6.sin6_addr.s6_addr[1] = 0x80; + r.as.sa_in6.sin6_addr.s6_addr[2] = 0x00; + r.as.sa_in6.sin6_addr.s6_addr[3] = 0x00; + r.as.sa_in6.sin6_addr.s6_addr[4] = 0x00; + r.as.sa_in6.sin6_addr.s6_addr[5] = 0x00; + r.as.sa_in6.sin6_addr.s6_addr[6] = 0x00; + r.as.sa_in6.sin6_addr.s6_addr[7] = 0x00; + r.as.sa_in6.sin6_addr.s6_addr[8] = mac[0] & 0xfdU; + r.as.sa_in6.sin6_addr.s6_addr[9] = mac[1]; r.as.sa_in6.sin6_addr.s6_addr[10] = mac[2]; r.as.sa_in6.sin6_addr.s6_addr[11] = 0xff; r.as.sa_in6.sin6_addr.s6_addr[12] = 0xfe; @@ -438,17 +428,18 @@ InetAddress InetAddress::makeIpv6rfc4193(uint64_t nwid, uint64_t zeroTierAddress { InetAddress r; r.as.sa_in6.sin6_family = AF_INET6; - r.as.sa_in6.sin6_port = ZT_CONST_TO_BE_UINT16(88); // /88 includes 0xfd + network ID, discriminating by device ID below that - r.as.sa_in6.sin6_addr.s6_addr[0] = 0xfd; - r.as.sa_in6.sin6_addr.s6_addr[1] = (uint8_t)(nwid >> 56U); - r.as.sa_in6.sin6_addr.s6_addr[2] = (uint8_t)(nwid >> 48U); - r.as.sa_in6.sin6_addr.s6_addr[3] = (uint8_t)(nwid >> 40U); - r.as.sa_in6.sin6_addr.s6_addr[4] = (uint8_t)(nwid >> 32U); - r.as.sa_in6.sin6_addr.s6_addr[5] = (uint8_t)(nwid >> 24U); - r.as.sa_in6.sin6_addr.s6_addr[6] = (uint8_t)(nwid >> 16U); - r.as.sa_in6.sin6_addr.s6_addr[7] = (uint8_t)(nwid >> 8U); - r.as.sa_in6.sin6_addr.s6_addr[8] = (uint8_t)nwid; - r.as.sa_in6.sin6_addr.s6_addr[9] = 0x99; + r.as.sa_in6.sin6_port = + ZT_CONST_TO_BE_UINT16(88); // /88 includes 0xfd + network ID, discriminating by device ID below that + r.as.sa_in6.sin6_addr.s6_addr[0] = 0xfd; + r.as.sa_in6.sin6_addr.s6_addr[1] = (uint8_t)(nwid >> 56U); + r.as.sa_in6.sin6_addr.s6_addr[2] = (uint8_t)(nwid >> 48U); + r.as.sa_in6.sin6_addr.s6_addr[3] = (uint8_t)(nwid >> 40U); + r.as.sa_in6.sin6_addr.s6_addr[4] = (uint8_t)(nwid >> 32U); + r.as.sa_in6.sin6_addr.s6_addr[5] = (uint8_t)(nwid >> 24U); + r.as.sa_in6.sin6_addr.s6_addr[6] = (uint8_t)(nwid >> 16U); + r.as.sa_in6.sin6_addr.s6_addr[7] = (uint8_t)(nwid >> 8U); + r.as.sa_in6.sin6_addr.s6_addr[8] = (uint8_t)nwid; + r.as.sa_in6.sin6_addr.s6_addr[9] = 0x99; r.as.sa_in6.sin6_addr.s6_addr[10] = 0x93; r.as.sa_in6.sin6_addr.s6_addr[11] = (uint8_t)(zeroTierAddress >> 32U); r.as.sa_in6.sin6_addr.s6_addr[12] = (uint8_t)(zeroTierAddress >> 24U); @@ -462,24 +453,24 @@ InetAddress InetAddress::makeIpv66plane(uint64_t nwid, uint64_t zeroTierAddress) { nwid ^= (nwid >> 32U); InetAddress r; - r.as.sa_in6.sin6_family = AF_INET6; - r.as.sa_in6.sin6_port = ZT_CONST_TO_BE_UINT16(40); - r.as.sa_in6.sin6_addr.s6_addr[0] = 0xfc; - r.as.sa_in6.sin6_addr.s6_addr[1] = (uint8_t)(nwid >> 24U); - r.as.sa_in6.sin6_addr.s6_addr[2] = (uint8_t)(nwid >> 16U); - r.as.sa_in6.sin6_addr.s6_addr[3] = (uint8_t)(nwid >> 8U); - r.as.sa_in6.sin6_addr.s6_addr[4] = (uint8_t)nwid; - r.as.sa_in6.sin6_addr.s6_addr[5] = (uint8_t)(zeroTierAddress >> 32U); - r.as.sa_in6.sin6_addr.s6_addr[6] = (uint8_t)(zeroTierAddress >> 24U); - r.as.sa_in6.sin6_addr.s6_addr[7] = (uint8_t)(zeroTierAddress >> 16U); - r.as.sa_in6.sin6_addr.s6_addr[8] = (uint8_t)(zeroTierAddress >> 8U); - r.as.sa_in6.sin6_addr.s6_addr[9] = (uint8_t)zeroTierAddress; + r.as.sa_in6.sin6_family = AF_INET6; + r.as.sa_in6.sin6_port = ZT_CONST_TO_BE_UINT16(40); + r.as.sa_in6.sin6_addr.s6_addr[0] = 0xfc; + r.as.sa_in6.sin6_addr.s6_addr[1] = (uint8_t)(nwid >> 24U); + r.as.sa_in6.sin6_addr.s6_addr[2] = (uint8_t)(nwid >> 16U); + r.as.sa_in6.sin6_addr.s6_addr[3] = (uint8_t)(nwid >> 8U); + r.as.sa_in6.sin6_addr.s6_addr[4] = (uint8_t)nwid; + r.as.sa_in6.sin6_addr.s6_addr[5] = (uint8_t)(zeroTierAddress >> 32U); + r.as.sa_in6.sin6_addr.s6_addr[6] = (uint8_t)(zeroTierAddress >> 24U); + r.as.sa_in6.sin6_addr.s6_addr[7] = (uint8_t)(zeroTierAddress >> 16U); + r.as.sa_in6.sin6_addr.s6_addr[8] = (uint8_t)(zeroTierAddress >> 8U); + r.as.sa_in6.sin6_addr.s6_addr[9] = (uint8_t)zeroTierAddress; r.as.sa_in6.sin6_addr.s6_addr[15] = 0x01; return r; } extern "C" { -extern const int ZT_AF_INET = (int)AF_INET; +extern const int ZT_AF_INET = (int)AF_INET; extern const int ZT_AF_INET6 = (int)AF_INET6; }