diff options
Diffstat (limited to 'node/C25519.cpp')
| -rw-r--r-- | node/C25519.cpp | 2416 |
1 files changed, 1074 insertions, 1342 deletions
diff --git a/node/C25519.cpp b/node/C25519.cpp index e9ffecc1..77084bd8 100644 --- a/node/C25519.cpp +++ b/node/C25519.cpp @@ -1,5 +1,3 @@ -// Code taken from NaCl by D. J. Bernstein and others - /* Matthew Dempsky Public domain. @@ -7,7 +5,7 @@ Derived from public domain code by D. J. Bernstein. */ // Modified very slightly for ZeroTier One by Adam Ierymenko -// (no functional changes) +// This code remains in the public domain. #include <stdint.h> #include <stdlib.h> @@ -22,7 +20,7 @@ Derived from public domain code by D. J. Bernstein. #pragma warning(disable: 4146) #endif -namespace ZeroTier { +namespace { ////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////// @@ -33,990 +31,853 @@ namespace ZeroTier { #define crypto_uint64 uint64_t #define crypto_hash_sha512_BYTES 64 -static inline void add(unsigned int out[32],const unsigned int a[32],const unsigned int b[32]) +void add(unsigned int out[32],const unsigned int a[32],const unsigned int b[32]) { - unsigned int j; - unsigned int u; - u = 0; - for (j = 0;j < 31;++j) { u += a[j] + b[j]; out[j] = u & 255; u >>= 8; } - u += a[31] + b[31]; out[31] = u; + unsigned int j; + unsigned int u; + u = 0; + for (j = 0;j < 31;++j) { u += a[j] + b[j]; out[j] = u & 255; u >>= 8; } + u += a[31] + b[31]; out[31] = u; } -static inline void sub(unsigned int out[32],const unsigned int a[32],const unsigned int b[32]) +void sub(unsigned int out[32],const unsigned int a[32],const unsigned int b[32]) { - unsigned int j; - unsigned int u; - u = 218; - for (j = 0;j < 31;++j) { - u += a[j] + 65280 - b[j]; - out[j] = u & 255; - u >>= 8; - } - u += a[31] - b[31]; - out[31] = u; + unsigned int j; + unsigned int u; + u = 218; + for (j = 0;j < 31;++j) { + u += a[j] + 65280 - b[j]; + out[j] = u & 255; + u >>= 8; + } + u += a[31] - b[31]; + out[31] = u; } -static inline void squeeze(unsigned int a[32]) +void squeeze(unsigned int a[32]) { - unsigned int j; - unsigned int u; - u = 0; - for (j = 0;j < 31;++j) { u += a[j]; a[j] = u & 255; u >>= 8; } - u += a[31]; a[31] = u & 127; - u = 19 * (u >> 7); - for (j = 0;j < 31;++j) { u += a[j]; a[j] = u & 255; u >>= 8; } - u += a[31]; a[31] = u; + unsigned int j; + unsigned int u; + u = 0; + for (j = 0;j < 31;++j) { u += a[j]; a[j] = u & 255; u >>= 8; } + u += a[31]; a[31] = u & 127; + u = 19 * (u >> 7); + for (j = 0;j < 31;++j) { u += a[j]; a[j] = u & 255; u >>= 8; } + u += a[31]; a[31] = u; } static const unsigned int minusp[32] = { 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128 } ; -static inline void freeze(unsigned int a[32]) +void freeze(unsigned int a[32]) { - unsigned int aorig[32]; - unsigned int j; - unsigned int negative; + unsigned int aorig[32]; + unsigned int j; + unsigned int negative; - for (j = 0;j < 32;++j) aorig[j] = a[j]; - add(a,a,minusp); - negative = -((a[31] >> 7) & 1); - for (j = 0;j < 32;++j) a[j] ^= negative & (aorig[j] ^ a[j]); + for (j = 0;j < 32;++j) aorig[j] = a[j]; + add(a,a,minusp); + negative = -((a[31] >> 7) & 1); + for (j = 0;j < 32;++j) a[j] ^= negative & (aorig[j] ^ a[j]); } -static inline void mult(unsigned int out[32],const unsigned int a[32],const unsigned int b[32]) +void mult(unsigned int out[32],const unsigned int a[32],const unsigned int b[32]) { - unsigned int i; - unsigned int j; - unsigned int u; + unsigned int i; + unsigned int j; + unsigned int u; - for (i = 0;i < 32;++i) { - u = 0; - for (j = 0;j <= i;++j) u += a[j] * b[i - j]; - for (j = i + 1;j < 32;++j) u += 38 * a[j] * b[i + 32 - j]; - out[i] = u; - } - squeeze(out); + for (i = 0;i < 32;++i) { + u = 0; + for (j = 0;j <= i;++j) u += a[j] * b[i - j]; + for (j = i + 1;j < 32;++j) u += 38 * a[j] * b[i + 32 - j]; + out[i] = u; + } + squeeze(out); } -static inline void mult121665(unsigned int out[32],const unsigned int a[32]) +void mult121665(unsigned int out[32],const unsigned int a[32]) { - unsigned int j; - unsigned int u; + unsigned int j; + unsigned int u; - u = 0; - for (j = 0;j < 31;++j) { u += 121665 * a[j]; out[j] = u & 255; u >>= 8; } - u += 121665 * a[31]; out[31] = u & 127; - u = 19 * (u >> 7); - for (j = 0;j < 31;++j) { u += out[j]; out[j] = u & 255; u >>= 8; } - u += out[j]; out[j] = u; + u = 0; + for (j = 0;j < 31;++j) { u += 121665 * a[j]; out[j] = u & 255; u >>= 8; } + u += 121665 * a[31]; out[31] = u & 127; + u = 19 * (u >> 7); + for (j = 0;j < 31;++j) { u += out[j]; out[j] = u & 255; u >>= 8; } + u += out[j]; out[j] = u; } -static inline void square(unsigned int out[32],const unsigned int a[32]) +void square(unsigned int out[32],const unsigned int a[32]) { - unsigned int i; - unsigned int j; - unsigned int u; + unsigned int i; + unsigned int j; + unsigned int u; - for (i = 0;i < 32;++i) { - u = 0; - for (j = 0;j < i - j;++j) u += a[j] * a[i - j]; - for (j = i + 1;j < i + 32 - j;++j) u += 38 * a[j] * a[i + 32 - j]; - u *= 2; - if ((i & 1) == 0) { - u += a[i / 2] * a[i / 2]; - u += 38 * a[i / 2 + 16] * a[i / 2 + 16]; - } - out[i] = u; - } - squeeze(out); + for (i = 0;i < 32;++i) { + u = 0; + for (j = 0;j < i - j;++j) u += a[j] * a[i - j]; + for (j = i + 1;j < i + 32 - j;++j) u += 38 * a[j] * a[i + 32 - j]; + u *= 2; + if ((i & 1) == 0) { + u += a[i / 2] * a[i / 2]; + u += 38 * a[i / 2 + 16] * a[i / 2 + 16]; + } + out[i] = u; + } + squeeze(out); } -static inline void select(unsigned int p[64],unsigned int q[64],const unsigned int r[64],const unsigned int s[64],unsigned int b) +void select(unsigned int p[64],unsigned int q[64],const unsigned int r[64],const unsigned int s[64],unsigned int b) { - unsigned int j; - unsigned int t; - unsigned int bminus1; + unsigned int j; + unsigned int t; + unsigned int bminus1; - bminus1 = b - 1; - for (j = 0;j < 64;++j) { - t = bminus1 & (r[j] ^ s[j]); - p[j] = s[j] ^ t; - q[j] = r[j] ^ t; - } + bminus1 = b - 1; + for (j = 0;j < 64;++j) { + t = bminus1 & (r[j] ^ s[j]); + p[j] = s[j] ^ t; + q[j] = r[j] ^ t; + } } static void mainloop(unsigned int work[64],const unsigned char e[32]) { - unsigned int xzm1[64]; - unsigned int xzm[64]; - unsigned int xzmb[64]; - unsigned int xzm1b[64]; - unsigned int xznb[64]; - unsigned int xzn1b[64]; - unsigned int a0[64]; - unsigned int a1[64]; - unsigned int b0[64]; - unsigned int b1[64]; - unsigned int c1[64]; - unsigned int r[32]; - unsigned int s[32]; - unsigned int t[32]; - unsigned int u[32]; - //unsigned int i; - unsigned int j; - unsigned int b; - int pos; - - for (j = 0;j < 32;++j) xzm1[j] = work[j]; - xzm1[32] = 1; - for (j = 33;j < 64;++j) xzm1[j] = 0; - - xzm[0] = 1; - for (j = 1;j < 64;++j) xzm[j] = 0; - - for (pos = 254;pos >= 0;--pos) { - b = e[pos / 8] >> (pos & 7); - b &= 1; - select(xzmb,xzm1b,xzm,xzm1,b); - add(a0,xzmb,xzmb + 32); - sub(a0 + 32,xzmb,xzmb + 32); - add(a1,xzm1b,xzm1b + 32); - sub(a1 + 32,xzm1b,xzm1b + 32); - square(b0,a0); - square(b0 + 32,a0 + 32); - mult(b1,a1,a0 + 32); - mult(b1 + 32,a1 + 32,a0); - add(c1,b1,b1 + 32); - sub(c1 + 32,b1,b1 + 32); - square(r,c1 + 32); - sub(s,b0,b0 + 32); - mult121665(t,s); - add(u,t,b0); - mult(xznb,b0,b0 + 32); - mult(xznb + 32,s,u); - square(xzn1b,c1); - mult(xzn1b + 32,r,work); - select(xzm,xzm1,xznb,xzn1b,b); - } - - for (j = 0;j < 64;++j) work[j] = xzm[j]; + unsigned int xzm1[64]; + unsigned int xzm[64]; + unsigned int xzmb[64]; + unsigned int xzm1b[64]; + unsigned int xznb[64]; + unsigned int xzn1b[64]; + unsigned int a0[64]; + unsigned int a1[64]; + unsigned int b0[64]; + unsigned int b1[64]; + unsigned int c1[64]; + unsigned int r[32]; + unsigned int s[32]; + unsigned int t[32]; + unsigned int u[32]; + //unsigned int i; + unsigned int j; + unsigned int b; + int pos; + + for (j = 0;j < 32;++j) xzm1[j] = work[j]; + xzm1[32] = 1; + for (j = 33;j < 64;++j) xzm1[j] = 0; + + xzm[0] = 1; + for (j = 1;j < 64;++j) xzm[j] = 0; + + for (pos = 254;pos >= 0;--pos) { + b = e[pos / 8] >> (pos & 7); + b &= 1; + select(xzmb,xzm1b,xzm,xzm1,b); + add(a0,xzmb,xzmb + 32); + sub(a0 + 32,xzmb,xzmb + 32); + add(a1,xzm1b,xzm1b + 32); + sub(a1 + 32,xzm1b,xzm1b + 32); + square(b0,a0); + square(b0 + 32,a0 + 32); + mult(b1,a1,a0 + 32); + mult(b1 + 32,a1 + 32,a0); + add(c1,b1,b1 + 32); + sub(c1 + 32,b1,b1 + 32); + square(r,c1 + 32); + sub(s,b0,b0 + 32); + mult121665(t,s); + add(u,t,b0); + mult(xznb,b0,b0 + 32); + mult(xznb + 32,s,u); + square(xzn1b,c1); + mult(xzn1b + 32,r,work); + select(xzm,xzm1,xznb,xzn1b,b); + } + + for (j = 0;j < 64;++j) work[j] = xzm[j]; } static void recip(unsigned int out[32],const unsigned int z[32]) { - unsigned int z2[32]; - unsigned int z9[32]; - unsigned int z11[32]; - unsigned int z2_5_0[32]; - unsigned int z2_10_0[32]; - unsigned int z2_20_0[32]; - unsigned int z2_50_0[32]; - unsigned int z2_100_0[32]; - unsigned int t0[32]; - unsigned int t1[32]; - int i; - - /* 2 */ square(z2,z); - /* 4 */ square(t1,z2); - /* 8 */ square(t0,t1); - /* 9 */ mult(z9,t0,z); - /* 11 */ mult(z11,z9,z2); - /* 22 */ square(t0,z11); - /* 2^5 - 2^0 = 31 */ mult(z2_5_0,t0,z9); - - /* 2^6 - 2^1 */ square(t0,z2_5_0); - /* 2^7 - 2^2 */ square(t1,t0); - /* 2^8 - 2^3 */ square(t0,t1); - /* 2^9 - 2^4 */ square(t1,t0); - /* 2^10 - 2^5 */ square(t0,t1); - /* 2^10 - 2^0 */ mult(z2_10_0,t0,z2_5_0); - - /* 2^11 - 2^1 */ square(t0,z2_10_0); - /* 2^12 - 2^2 */ square(t1,t0); - /* 2^20 - 2^10 */ for (i = 2;i < 10;i += 2) { square(t0,t1); square(t1,t0); } - /* 2^20 - 2^0 */ mult(z2_20_0,t1,z2_10_0); - - /* 2^21 - 2^1 */ square(t0,z2_20_0); - /* 2^22 - 2^2 */ square(t1,t0); - /* 2^40 - 2^20 */ for (i = 2;i < 20;i += 2) { square(t0,t1); square(t1,t0); } - /* 2^40 - 2^0 */ mult(t0,t1,z2_20_0); - - /* 2^41 - 2^1 */ square(t1,t0); - /* 2^42 - 2^2 */ square(t0,t1); - /* 2^50 - 2^10 */ for (i = 2;i < 10;i += 2) { square(t1,t0); square(t0,t1); } - /* 2^50 - 2^0 */ mult(z2_50_0,t0,z2_10_0); - - /* 2^51 - 2^1 */ square(t0,z2_50_0); - /* 2^52 - 2^2 */ square(t1,t0); - /* 2^100 - 2^50 */ for (i = 2;i < 50;i += 2) { square(t0,t1); square(t1,t0); } - /* 2^100 - 2^0 */ mult(z2_100_0,t1,z2_50_0); - - /* 2^101 - 2^1 */ square(t1,z2_100_0); - /* 2^102 - 2^2 */ square(t0,t1); - /* 2^200 - 2^100 */ for (i = 2;i < 100;i += 2) { square(t1,t0); square(t0,t1); } - /* 2^200 - 2^0 */ mult(t1,t0,z2_100_0); - - /* 2^201 - 2^1 */ square(t0,t1); - /* 2^202 - 2^2 */ square(t1,t0); - /* 2^250 - 2^50 */ for (i = 2;i < 50;i += 2) { square(t0,t1); square(t1,t0); } - /* 2^250 - 2^0 */ mult(t0,t1,z2_50_0); - - /* 2^251 - 2^1 */ square(t1,t0); - /* 2^252 - 2^2 */ square(t0,t1); - /* 2^253 - 2^3 */ square(t1,t0); - /* 2^254 - 2^4 */ square(t0,t1); - /* 2^255 - 2^5 */ square(t1,t0); - /* 2^255 - 21 */ mult(out,t1,z11); -} - -static inline int crypto_scalarmult(unsigned char *q, - const unsigned char *n, - const unsigned char *p) -{ - unsigned int work[96]; - unsigned char e[32]; - unsigned int i; - for (i = 0;i < 32;++i) e[i] = n[i]; - e[0] &= 248; - e[31] &= 127; - e[31] |= 64; - for (i = 0;i < 32;++i) work[i] = p[i]; - mainloop(work,e); - recip(work + 32,work + 32); - mult(work + 64,work,work + 32); - freeze(work + 64); - for (i = 0;i < 32;++i) q[i] = work[64 + i]; - return 0; + unsigned int z2[32]; + unsigned int z9[32]; + unsigned int z11[32]; + unsigned int z2_5_0[32]; + unsigned int z2_10_0[32]; + unsigned int z2_20_0[32]; + unsigned int z2_50_0[32]; + unsigned int z2_100_0[32]; + unsigned int t0[32]; + unsigned int t1[32]; + int i; + + /* 2 */ square(z2,z); + /* 4 */ square(t1,z2); + /* 8 */ square(t0,t1); + /* 9 */ mult(z9,t0,z); + /* 11 */ mult(z11,z9,z2); + /* 22 */ square(t0,z11); + /* 2^5 - 2^0 = 31 */ mult(z2_5_0,t0,z9); + + /* 2^6 - 2^1 */ square(t0,z2_5_0); + /* 2^7 - 2^2 */ square(t1,t0); + /* 2^8 - 2^3 */ square(t0,t1); + /* 2^9 - 2^4 */ square(t1,t0); + /* 2^10 - 2^5 */ square(t0,t1); + /* 2^10 - 2^0 */ mult(z2_10_0,t0,z2_5_0); + + /* 2^11 - 2^1 */ square(t0,z2_10_0); + /* 2^12 - 2^2 */ square(t1,t0); + /* 2^20 - 2^10 */ for (i = 2;i < 10;i += 2) { square(t0,t1); square(t1,t0); } + /* 2^20 - 2^0 */ mult(z2_20_0,t1,z2_10_0); + + /* 2^21 - 2^1 */ square(t0,z2_20_0); + /* 2^22 - 2^2 */ square(t1,t0); + /* 2^40 - 2^20 */ for (i = 2;i < 20;i += 2) { square(t0,t1); square(t1,t0); } + /* 2^40 - 2^0 */ mult(t0,t1,z2_20_0); + + /* 2^41 - 2^1 */ square(t1,t0); + /* 2^42 - 2^2 */ square(t0,t1); + /* 2^50 - 2^10 */ for (i = 2;i < 10;i += 2) { square(t1,t0); square(t0,t1); } + /* 2^50 - 2^0 */ mult(z2_50_0,t0,z2_10_0); + + /* 2^51 - 2^1 */ square(t0,z2_50_0); + /* 2^52 - 2^2 */ square(t1,t0); + /* 2^100 - 2^50 */ for (i = 2;i < 50;i += 2) { square(t0,t1); square(t1,t0); } + /* 2^100 - 2^0 */ mult(z2_100_0,t1,z2_50_0); + + /* 2^101 - 2^1 */ square(t1,z2_100_0); + /* 2^102 - 2^2 */ square(t0,t1); + /* 2^200 - 2^100 */ for (i = 2;i < 100;i += 2) { square(t1,t0); square(t0,t1); } + /* 2^200 - 2^0 */ mult(t1,t0,z2_100_0); + + /* 2^201 - 2^1 */ square(t0,t1); + /* 2^202 - 2^2 */ square(t1,t0); + /* 2^250 - 2^50 */ for (i = 2;i < 50;i += 2) { square(t0,t1); square(t1,t0); } + /* 2^250 - 2^0 */ mult(t0,t1,z2_50_0); + + /* 2^251 - 2^1 */ square(t1,t0); + /* 2^252 - 2^2 */ square(t0,t1); + /* 2^253 - 2^3 */ square(t1,t0); + /* 2^254 - 2^4 */ square(t0,t1); + /* 2^255 - 2^5 */ square(t1,t0); + /* 2^255 - 21 */ mult(out,t1,z11); +} + +int crypto_scalarmult(unsigned char *q,const unsigned char *n,const unsigned char *p) +{ + unsigned int work[96]; + unsigned char e[32]; + unsigned int i; + for (i = 0;i < 32;++i) e[i] = n[i]; + e[0] &= 248; + e[31] &= 127; + e[31] |= 64; + for (i = 0;i < 32;++i) work[i] = p[i]; + mainloop(work,e); + recip(work + 32,work + 32); + mult(work + 64,work,work + 32); + freeze(work + 64); + for (i = 0;i < 32;++i) q[i] = work[64 + i]; + return 0; } static const unsigned char base[32] = {9}; - -static inline int crypto_scalarmult_base(unsigned char *q, - const unsigned char *n) +int crypto_scalarmult_base(unsigned char *q,const unsigned char *n) { - return crypto_scalarmult(q,n,base); + return crypto_scalarmult(q,n,base); } ////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////// -// This is the Ed25519 stuff from SUPERCOP: -// http://bench.cr.yp.to/supercop.html +// Ed25519 ref from: http://bench.cr.yp.to/supercop.html -// Also public domain, newer version than the Ed25519 found in NaCl - -typedef struct +typedef struct { - crypto_uint32 v[32]; + crypto_uint32 v[32]; } fe25519; +typedef struct +{ + crypto_uint32 v[32]; +} +sc25519; + +typedef struct +{ + crypto_uint32 v[16]; +} +shortsc25519; + +typedef struct +{ + fe25519 x; + fe25519 y; + fe25519 z; + fe25519 t; +} ge25519; + +#define ge25519_p3 ge25519 + +typedef struct +{ + fe25519 x; + fe25519 z; + fe25519 y; + fe25519 t; +} ge25519_p1p1; + +typedef struct +{ + fe25519 x; + fe25519 y; + fe25519 z; +} ge25519_p2; + +typedef struct +{ + fe25519 x; + fe25519 y; +} ge25519_aff; + static void fe25519_sub(fe25519 *r, const fe25519 *x, const fe25519 *y); -static inline crypto_uint32 equal(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */ +crypto_uint32 equal(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */ { - crypto_uint32 x = a ^ b; /* 0: yes; 1..65535: no */ - x -= 1; /* 4294967295: yes; 0..65534: no */ - x >>= 31; /* 1: yes; 0: no */ - return x; + crypto_uint32 x = a ^ b; /* 0: yes; 1..65535: no */ + x -= 1; /* 4294967295: yes; 0..65534: no */ + x >>= 31; /* 1: yes; 0: no */ + return x; } -static inline crypto_uint32 ge(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */ +crypto_uint32 ge(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */ { - 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 */ - return x; + 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 */ + return x; } -static inline crypto_uint32 times19(crypto_uint32 a) +crypto_uint32 times19(crypto_uint32 a) { - return (a << 4) + (a << 1) + a; + return (a << 4) + (a << 1) + a; } -static inline crypto_uint32 times38(crypto_uint32 a) +crypto_uint32 times38(crypto_uint32 a) { - return (a << 5) + (a << 2) + (a << 1); + return (a << 5) + (a << 2) + (a << 1); } -static inline void reduce_add_sub(fe25519 *r) +void reduce_add_sub(fe25519 *r) { - crypto_uint32 t; - int i,rep; + crypto_uint32 t; + int i,rep; - for(rep=0;rep<4;rep++) - { - t = r->v[31] >> 7; - r->v[31] &= 127; - t = times19(t); - r->v[0] += t; - for(i=0;i<31;i++) - { - t = r->v[i] >> 8; - r->v[i+1] += t; - r->v[i] &= 255; - } - } + for(rep=0;rep<4;rep++) + { + t = r->v[31] >> 7; + r->v[31] &= 127; + t = times19(t); + r->v[0] += t; + for(i=0;i<31;i++) + { + t = r->v[i] >> 8; + r->v[i+1] += t; + r->v[i] &= 255; + } + } } -static inline void reduce_mul(fe25519 *r) +void reduce_mul(fe25519 *r) { - crypto_uint32 t; - int i,rep; + crypto_uint32 t; + int i,rep; - for(rep=0;rep<2;rep++) - { - t = r->v[31] >> 7; - r->v[31] &= 127; - t = times19(t); - r->v[0] += t; - for(i=0;i<31;i++) - { - t = r->v[i] >> 8; - r->v[i+1] += t; - r->v[i] &= 255; - } - } + for(rep=0;rep<2;rep++) + { + t = r->v[31] >> 7; + r->v[31] &= 127; + t = times19(t); + r->v[0] += t; + for(i=0;i<31;i++) + { + t = r->v[i] >> 8; + r->v[i+1] += t; + r->v[i] &= 255; + } + } } /* reduction modulo 2^255-19 */ -static inline void fe25519_freeze(fe25519 *r) +void fe25519_freeze(fe25519 *r) { - int i; - crypto_uint32 m = equal(r->v[31],127); - for(i=30;i>0;i--) - m &= equal(r->v[i],255); - m &= ge(r->v[0],237); + int i; + crypto_uint32 m = equal(r->v[31],127); + for(i=30;i>0;i--) + m &= equal(r->v[i],255); + m &= ge(r->v[0],237); - m = -m; + m = -m; - r->v[31] -= m&127; - for(i=30;i>0;i--) - r->v[i] -= m&255; - r->v[0] -= m&237; + r->v[31] -= m&127; + for(i=30;i>0;i--) + r->v[i] -= m&255; + r->v[0] -= m&237; } -static inline void fe25519_unpack(fe25519 *r, const unsigned char x[32]) +void fe25519_unpack(fe25519 *r, const unsigned char x[32]) { - int i; - for(i=0;i<32;i++) r->v[i] = x[i]; - r->v[31] &= 127; + int i; + for(i=0;i<32;i++) r->v[i] = x[i]; + r->v[31] &= 127; } /* Assumes input x being reduced below 2^255 */ -static inline void fe25519_pack(unsigned char r[32], const fe25519 *x) +void fe25519_pack(unsigned char r[32], const fe25519 *x) { - int i; - fe25519 y = *x; - fe25519_freeze(&y); - for(i=0;i<32;i++) - r[i] = y.v[i]; + int i; + fe25519 y = *x; + fe25519_freeze(&y); + for(i=0;i<32;i++) + r[i] = y.v[i]; } -#if 0 -static int fe25519_iszero(const fe25519 *x) -{ - int i; - int r; - fe25519 t = *x; - fe25519_freeze(&t); - r = equal(t.v[0],0); - for(i=1;i<32;i++) - r &= equal(t.v[i],0); - return r; -} -#endif - -static inline int fe25519_iseq_vartime(const fe25519 *x, const fe25519 *y) +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++) - if(t1.v[i] != t2.v[i]) return 0; - return 1; + int i; + fe25519 t1 = *x; + fe25519 t2 = *y; + fe25519_freeze(&t1); + fe25519_freeze(&t2); + for(i=0;i<32;i++) + if(t1.v[i] != t2.v[i]) return 0; + return 1; } -static inline void fe25519_cmov(fe25519 *r, const fe25519 *x, unsigned char b) +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++) r->v[i] ^= mask & (x->v[i] ^ r->v[i]); + int i; + crypto_uint32 mask = b; + mask = -mask; + for(i=0;i<32;i++) r->v[i] ^= mask & (x->v[i] ^ r->v[i]); } -static inline unsigned char fe25519_getparity(const fe25519 *x) +unsigned char fe25519_getparity(const fe25519 *x) { - fe25519 t = *x; - fe25519_freeze(&t); - return t.v[0] & 1; + fe25519 t = *x; + fe25519_freeze(&t); + return t.v[0] & 1; } -static inline void fe25519_setone(fe25519 *r) +void fe25519_setone(fe25519 *r) { - int i; - r->v[0] = 1; - for(i=1;i<32;i++) r->v[i]=0; + int i; + r->v[0] = 1; + for(i=1;i<32;i++) r->v[i]=0; } -static inline void fe25519_setzero(fe25519 *r) +void fe25519_setzero(fe25519 *r) { - int i; - for(i=0;i<32;i++) r->v[i]=0; + int i; + for(i=0;i<32;i++) r->v[i]=0; } -static inline 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++) t.v[i]=x->v[i]; - fe25519_setzero(r); - fe25519_sub(r, r, &t); + fe25519 t; + int i; + for(i=0;i<32;i++) t.v[i]=x->v[i]; + fe25519_setzero(r); + fe25519_sub(r, r, &t); } -static inline void fe25519_add(fe25519 *r, const fe25519 *x, const fe25519 *y) +void fe25519_add(fe25519 *r, const fe25519 *x, const fe25519 *y) { - int i; - for(i=0;i<32;i++) r->v[i] = x->v[i] + y->v[i]; - reduce_add_sub(r); + int i; + for(i=0;i<32;i++) r->v[i] = x->v[i] + y->v[i]; + reduce_add_sub(r); } -static inline 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[31] = x->v[31] + 0xfe; - for(i=1;i<31;i++) t[i] = x->v[i] + 0x1fe; - for(i=0;i<32;i++) r->v[i] = t[i] - y->v[i]; - reduce_add_sub(r); + int i; + crypto_uint32 t[32]; + t[0] = x->v[0] + 0x1da; + t[31] = x->v[31] + 0xfe; + for(i=1;i<31;i++) t[i] = x->v[i] + 0x1fe; + for(i=0;i<32;i++) r->v[i] = t[i] - y->v[i]; + reduce_add_sub(r); } -static inline 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++)t[i] = 0; + int i,j; + crypto_uint32 t[63]; + for(i=0;i<63;i++)t[i] = 0; - for(i=0;i<32;i++) - for(j=0;j<32;j++) - t[i+j] += x->v[i] * y->v[j]; + for(i=0;i<32;i++) + for(j=0;j<32;j++) + t[i+j] += x->v[i] * y->v[j]; - for(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] */ + for(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] */ - reduce_mul(r); + reduce_mul(r); } -static inline void fe25519_square(fe25519 *r, const fe25519 *x) +void fe25519_square(fe25519 *r, const fe25519 *x) { - fe25519_mul(r, x, x); + fe25519_mul(r, x, x); } -static void fe25519_invert(fe25519 *r, const fe25519 *x) +void fe25519_invert(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); + 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; - /* 2^6 - 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 */ 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); - /* 2^11 - 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); + /* 2^6 - 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); - /* 2^21 - 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); + /* 2^11 - 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); - /* 2^41 - 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); + /* 2^21 - 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); - /* 2^51 - 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); + /* 2^41 - 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); - /* 2^101 - 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); + /* 2^51 - 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); - /* 2^251 - 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); -} - -static 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); -} - -typedef struct -{ - crypto_uint32 v[32]; -} -sc25519; - -typedef struct -{ - crypto_uint32 v[16]; -} -shortsc25519; + /* 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); -static 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}; + /* 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); -static 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}; + /* 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); +} -static inline crypto_uint32 lt(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */ +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); +} + +static 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}; + +static 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}; + +crypto_uint32 lt(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */ { - unsigned int x = a; - x -= (unsigned int) b; /* 0..65535: no; 4294901761..4294967295: yes */ - x >>= 31; /* 0: no; 1: yes */ - return x; + unsigned int x = a; + x -= (unsigned int) b; /* 0..65535: no; 4294901761..4294967295: yes */ + x >>= 31; /* 0: no; 1: yes */ + return x; } /* Reduce coefficients of r before calling reduce_add_sub */ -static inline void reduce_add_sub(sc25519 *r) -{ - crypto_uint32 pb = 0; - crypto_uint32 b; - crypto_uint32 mask; - int i; - unsigned char t[32]; - - for(i=0;i<32;i++) - { - pb += m[i]; - b = lt(r->v[i],pb); - t[i] = r->v[i]-pb+(b<<8); - pb = b; - } - mask = b - 1; - for(i=0;i<32;i++) - r->v[i] ^= mask & (r->v[i] ^ t[i]); +void reduce_add_sub(sc25519 *r) +{ + crypto_uint32 pb = 0; + crypto_uint32 b; + crypto_uint32 mask; + int i; + unsigned char t[32]; + + for(i=0;i<32;i++) + { + pb += m[i]; + b = lt(r->v[i],pb); + t[i] = r->v[i]-pb+(b<<8); + pb = b; + } + mask = b - 1; + for(i=0;i<32;i++) + r->v[i] ^= mask & (r->v[i] ^ t[i]); } /* Reduce coefficients of x before calling barrett_reduce */ -static inline 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 r1[33]; - crypto_uint32 r2[33]; - crypto_uint32 carry; - crypto_uint32 pb = 0; - crypto_uint32 b; - - for (i = 0;i < 66;++i) q2[i] = 0; - for (i = 0;i < 33;++i) r2[i] = 0; - - for(i=0;i<33;i++) - for(j=0;j<33;j++) - if(i+j >= 31) q2[i+j] += mu[i]*x[j+31]; - carry = q2[31] >> 8; - q2[32] += carry; - carry = q2[32] >> 8; - q2[33] += carry; - - for(i=0;i<33;i++)r1[i] = x[i]; - for(i=0;i<32;i++) - for(j=0;j<33;j++) - if(i+j < 33) r2[i+j] += m[i]*q3[j]; - - for(i=0;i<32;i++) - { - carry = r2[i] >> 8; - r2[i+1] += carry; - r2[i] &= 0xff; - } - - for(i=0;i<32;i++) - { - pb += r2[i]; - b = lt(r1[i],pb); - r->v[i] = r1[i]-pb+(b<<8); - pb = b; - } - - /* XXX: Can it really happen that r<0?, See HAC, Alg 14.42, Step 3 - * If so: Handle it here! - */ - - reduce_add_sub(r); - reduce_add_sub(r); -} - -static inline void sc25519_from32bytes(sc25519 *r, const unsigned char x[32]) -{ - int i; - crypto_uint32 t[64]; - for(i=0;i<32;i++) t[i] = x[i]; - for(i=32;i<64;++i) t[i] = 0; - barrett_reduce(r, t); -} - -#if 0 -static void shortsc25519_from16bytes(shortsc25519 *r, const unsigned char x[16]) -{ - int i; - for(i=0;i<16;i++) r->v[i] = x[i]; -} -#endif - -static inline void sc25519_from64bytes(sc25519 *r, const unsigned char x[64]) -{ - int i; - crypto_uint32 t[64]; - for(i=0;i<64;i++) t[i] = x[i]; - barrett_reduce(r, t); -} +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 r1[33]; + crypto_uint32 r2[33]; + crypto_uint32 carry; + crypto_uint32 pb = 0; + crypto_uint32 b; + + for (i = 0;i < 66;++i) q2[i] = 0; + for (i = 0;i < 33;++i) r2[i] = 0; + + for(i=0;i<33;i++) + for(j=0;j<33;j++) + if(i+j >= 31) q2[i+j] += mu[i]*x[j+31]; + carry = q2[31] >> 8; + q2[32] += carry; + carry = q2[32] >> 8; + q2[33] += carry; + + for(i=0;i<33;i++)r1[i] = x[i]; + for(i=0;i<32;i++) + for(j=0;j<33;j++) + if(i+j < 33) r2[i+j] += m[i]*q3[j]; + + for(i=0;i<32;i++) + { + carry = r2[i] >> 8; + r2[i+1] += carry; + r2[i] &= 0xff; + } -#if 0 -static void sc25519_from_shortsc(sc25519 *r, const shortsc25519 *x) -{ - int i; - for(i=0;i<16;i++) - r->v[i] = x->v[i]; - for(i=0;i<16;i++) - r->v[16+i] = 0; -} -#endif + for(i=0;i<32;i++) + { + pb += r2[i]; + b = lt(r1[i],pb); + r->v[i] = r1[i]-pb+(b<<8); + pb = b; + } -static inline void sc25519_to32bytes(unsigned char r[32], const sc25519 *x) -{ - int i; - for(i=0;i<32;i++) r[i] = x->v[i]; -} + /* XXX: Can it really happen that r<0?, See HAC, Alg 14.42, Step 3 + * If so: Handle it here! + */ -#if 0 -static int sc25519_iszero_vartime(const sc25519 *x) -{ - int i; - for(i=0;i<32;i++) - if(x->v[i] != 0) return 0; - return 1; + reduce_add_sub(r); + reduce_add_sub(r); } -#endif -#if 0 -static int sc25519_isshort_vartime(const sc25519 *x) +void sc25519_from32bytes(sc25519 *r, const unsigned char x[32]) { - int i; - for(i=31;i>15;i--) - if(x->v[i] != 0) return 0; - return 1; + int i; + crypto_uint32 t[64]; + for(i=0;i<32;i++) t[i] = x[i]; + for(i=32;i<64;++i) t[i] = 0; + barrett_reduce(r, t); } -#endif -#if 0 -static int sc25519_lt_vartime(const sc25519 *x, const sc25519 *y) +void sc25519_from64bytes(sc25519 *r, const unsigned char x[64]) { - int i; - for(i=31;i>=0;i--) - { - if(x->v[i] < y->v[i]) return 1; - if(x->v[i] > y->v[i]) return 0; - } - return 0; + int i; + crypto_uint32 t[64]; + for(i=0;i<64;i++) t[i] = x[i]; + barrett_reduce(r, t); } -#endif -static inline void sc25519_add(sc25519 *r, const sc25519 *x, const sc25519 *y) +void sc25519_to32bytes(unsigned char r[32], const sc25519 *x) { - int i, carry; - for(i=0;i<32;i++) r->v[i] = x->v[i] + y->v[i]; - for(i=0;i<31;i++) - { - carry = r->v[i] >> 8; - r->v[i+1] += carry; - r->v[i] &= 0xff; - } - reduce_add_sub(r); + int i; + for(i=0;i<32;i++) r[i] = x->v[i]; } -#if 0 -static void sc25519_sub_nored(sc25519 *r, const sc25519 *x, const sc25519 *y) +void sc25519_add(sc25519 *r, const sc25519 *x, const sc25519 *y) { - crypto_uint32 b = 0; - crypto_uint32 t; - int i; - for(i=0;i<32;i++) - { - t = x->v[i] - y->v[i] - b; - r->v[i] = t & 255; - b = (t >> 8) & 1; - } + int i, carry; + for(i=0;i<32;i++) r->v[i] = x->v[i] + y->v[i]; + for(i=0;i<31;i++) + { + carry = r->v[i] >> 8; + r->v[i+1] += carry; + r->v[i] &= 0xff; + } + reduce_add_sub(r); } -#endif -static inline void sc25519_mul(sc25519 *r, const sc25519 *x, const sc25519 *y) +void sc25519_mul(sc25519 *r, const sc25519 *x, const sc25519 *y) { - int i,j,carry; - crypto_uint32 t[64]; - for(i=0;i<64;i++)t[i] = 0; + int i,j,carry; + crypto_uint32 t[64]; + for(i=0;i<64;i++)t[i] = 0; - for(i=0;i<32;i++) - for(j=0;j<32;j++) - t[i+j] += x->v[i] * y->v[j]; + for(i=0;i<32;i++) + for(j=0;j<32;j++) + t[i+j] += x->v[i] * y->v[j]; - /* Reduce coefficients */ - for(i=0;i<63;i++) - { - carry = t[i] >> 8; - t[i+1] += carry; - t[i] &= 0xff; - } - - barrett_reduce(r, t); -} - -#if 0 -static void sc25519_mul_shortsc(sc25519 *r, const sc25519 *x, const shortsc25519 *y) -{ - sc25519 t; - sc25519_from_shortsc(&t, y); - sc25519_mul(r, x, &t); -} -#endif + /* Reduce coefficients */ + for(i=0;i<63;i++) + { + carry = t[i] >> 8; + t[i+1] += carry; + t[i] &= 0xff; + } -static inline void sc25519_window3(signed char r[85], const sc25519 *s) -{ - char carry; - int i; - for(i=0;i<10;i++) - { - r[8*i+0] = s->v[3*i+0] & 7; - r[8*i+1] = (s->v[3*i+0] >> 3) & 7; - r[8*i+2] = (s->v[3*i+0] >> 6) & 7; - r[8*i+2] ^= (s->v[3*i+1] << 2) & 7; - r[8*i+3] = (s->v[3*i+1] >> 1) & 7; - r[8*i+4] = (s->v[3*i+1] >> 4) & 7; - r[8*i+5] = (s->v[3*i+1] >> 7) & 7; - r[8*i+5] ^= (s->v[3*i+2] << 1) & 7; - r[8*i+6] = (s->v[3*i+2] >> 2) & 7; - r[8*i+7] = (s->v[3*i+2] >> 5) & 7; - } - r[8*i+0] = s->v[3*i+0] & 7; - r[8*i+1] = (s->v[3*i+0] >> 3) & 7; - r[8*i+2] = (s->v[3*i+0] >> 6) & 7; - r[8*i+2] ^= (s->v[3*i+1] << 2) & 7; - r[8*i+3] = (s->v[3*i+1] >> 1) & 7; - r[8*i+4] = (s->v[3*i+1] >> 4) & 7; - - /* Making it signed */ - carry = 0; - for(i=0;i<84;i++) - { - r[i] += carry; - r[i+1] += r[i] >> 3; - r[i] &= 7; - carry = r[i] >> 2; - r[i] -= carry<<3; - } - r[84] += carry; -} - -#if 0 -static void sc25519_window5(signed char r[51], const sc25519 *s) -{ - char carry; - int i; - for(i=0;i<6;i++) - { - r[8*i+0] = s->v[5*i+0] & 31; - r[8*i+1] = (s->v[5*i+0] >> 5) & 31; - r[8*i+1] ^= (s->v[5*i+1] << 3) & 31; - r[8*i+2] = (s->v[5*i+1] >> 2) & 31; - r[8*i+3] = (s->v[5*i+1] >> 7) & 31; - r[8*i+3] ^= (s->v[5*i+2] << 1) & 31; - r[8*i+4] = (s->v[5*i+2] >> 4) & 31; - r[8*i+4] ^= (s->v[5*i+3] << 4) & 31; - r[8*i+5] = (s->v[5*i+3] >> 1) & 31; - r[8*i+6] = (s->v[5*i+3] >> 6) & 31; - r[8*i+6] ^= (s->v[5*i+4] << 2) & 31; - r[8*i+7] = (s->v[5*i+4] >> 3) & 31; - } - r[8*i+0] = s->v[5*i+0] & 31; - r[8*i+1] = (s->v[5*i+0] >> 5) & 31; - r[8*i+1] ^= (s->v[5*i+1] << 3) & 31; - r[8*i+2] = (s->v[5*i+1] >> 2) & 31; - - /* Making it signed */ - carry = 0; - for(i=0;i<50;i++) - { - r[i] += carry; - r[i+1] += r[i] >> 5; - r[i] &= 31; - carry = r[i] >> 4; - r[i] -= carry<<5; - } - r[50] += carry; + barrett_reduce(r, t); +} + +void sc25519_window3(signed char r[85], const sc25519 *s) +{ + char carry; + int i; + for(i=0;i<10;i++) + { + r[8*i+0] = s->v[3*i+0] & 7; + r[8*i+1] = (s->v[3*i+0] >> 3) & 7; + r[8*i+2] = (s->v[3*i+0] >> 6) & 7; + r[8*i+2] ^= (s->v[3*i+1] << 2) & 7; + r[8*i+3] = (s->v[3*i+1] >> 1) & 7; + r[8*i+4] = (s->v[3*i+1] >> 4) & 7; + r[8*i+5] = (s->v[3*i+1] >> 7) & 7; + r[8*i+5] ^= (s->v[3*i+2] << 1) & 7; + r[8*i+6] = (s->v[3*i+2] >> 2) & 7; + r[8*i+7] = (s->v[3*i+2] >> 5) & 7; + } + r[8*i+0] = s->v[3*i+0] & 7; + r[8*i+1] = (s->v[3*i+0] >> 3) & 7; + r[8*i+2] = (s->v[3*i+0] >> 6) & 7; + r[8*i+2] ^= (s->v[3*i+1] << 2) & 7; + r[8*i+3] = (s->v[3*i+1] >> 1) & 7; + r[8*i+4] = (s->v[3*i+1] >> 4) & 7; + + /* Making it signed */ + carry = 0; + for(i=0;i<84;i++) + { + r[i] += carry; + r[i+1] += r[i] >> 3; + r[i] &= 7; + carry = r[i] >> 2; + r[i] -= carry<<3; + } + r[84] += carry; } -#endif -static inline void sc25519_2interleave2(unsigned char r[127], const sc25519 *s1, const sc25519 *s2) +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+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); - } - r[124] = ( s1->v[31] & 3) ^ (( s2->v[31] & 3) << 2); - r[125] = ((s1->v[31] >> 2) & 3) ^ (((s2->v[31] >> 2) & 3) << 2); - r[126] = ((s1->v[31] >> 4) & 3) ^ (((s2->v[31] >> 4) & 3) << 2); + int i; + for(i=0;i<31;i++) + { + 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); + } + r[124] = ( s1->v[31] & 3) ^ (( s2->v[31] & 3) << 2); + r[125] = ((s1->v[31] >> 2) & 3) ^ (((s2->v[31] >> 2) & 3) << 2); + r[126] = ((s1->v[31] >> 4) & 3) ^ (((s2->v[31] >> 4) & 3) << 2); } -typedef struct -{ - fe25519 x; - fe25519 y; - fe25519 z; - fe25519 t; -} ge25519; - /* 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}}; +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}}; +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}}; - -#define ge25519_p3 ge25519 - -typedef struct -{ - fe25519 x; - fe25519 z; - fe25519 y; - fe25519 t; -} ge25519_p1p1; - -typedef struct -{ - fe25519 x; - fe25519 y; - fe25519 z; -} ge25519_p2; - -typedef struct -{ - fe25519 x; - fe25519 y; -} ge25519_aff; - +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}}}; +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 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}}, +{{{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}}}, @@ -1026,7 +887,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{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}}, +{{{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}}}, @@ -1036,7 +897,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{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}}, +{{{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}}}, @@ -1046,7 +907,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{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, 0x26, 0xc1, 0xcb, 0xe9, 0xe6, 0xbf, 0xec, 0x1d, 0x4e, 0xed, 0x07, 0x7e, 0x5e}} , {{0xc7, 0xf6, 0x6c, 0x56, 0x31, 0x20, 0x14, 0x0e, 0xa8, 0xd9, 0x27, 0xc1, 0x9a, 0x3d, 0x1b, 0x7d, 0x0e, 0x26, 0xd3, 0x81, 0xaa, 0xeb, 0xf5, 0x6b, 0x79, 0x02, 0xf1, 0x51, 0x5c, 0x75, 0x55, 0x0f}}}, -{{{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}}, +{{{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}}}, {{{0x0a, 0x34, 0xcd, 0x82, 0x3c, 0x33, 0x09, 0x54, 0xd2, 0x61, 0x39, 0x30, 0x9b, 0xfd, 0xef, 0x21, 0x26, 0xd4, 0x70, 0xfa, 0xee, 0xf9, 0x31, 0x33, 0x73, 0x84, 0xd0, 0xb3, 0x81, 0xbf, 0xec, 0x2e}} , {{0xe8, 0x93, 0x8b, 0x00, 0x64, 0xf7, 0x9c, 0xb8, 0x74, 0xe0, 0xe6, 0x49, 0x48, 0x4d, 0x4d, 0x48, 0xb6, 0x19, 0xa1, 0x40, 0xb7, 0xd9, 0x32, 0x41, 0x7c, 0x82, 0x37, 0xa1, 0x2d, 0xdc, 0xd2, 0x54}}}, @@ -1056,7 +917,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xbc, 0x58, 0xe6, 0xc0, 0x95, 0x2a, 0x2a, 0x81, 0x9a, 0x7a, 0xf3, 0xd2, 0x06, 0xbe, 0x48, 0xbc, 0x0c, 0xc5, 0x46, 0xe0, 0x6a, 0xd4, 0xac, 0x0f, 0xd9, 0xcc, 0x82, 0x34, 0x2c, 0xaf, 0xdb, 0x1f}}}, {{{0xf7, 0x17, 0x13, 0xbd, 0xfb, 0xbc, 0xd2, 0xec, 0x45, 0xb3, 0x15, 0x31, 0xe9, 0xaf, 0x82, 0x84, 0x3d, 0x28, 0xc6, 0xfc, 0x11, 0xf5, 0x41, 0xb5, 0x8b, 0xd3, 0x12, 0x76, 0x52, 0xe7, 0x1a, 0x3c}} , {{0x4e, 0x36, 0x11, 0x07, 0xa2, 0x15, 0x20, 0x51, 0xc4, 0x2a, 0xc3, 0x62, 0x8b, 0x5e, 0x7f, 0xa6, 0x0f, 0xf9, 0x45, 0x85, 0x6c, 0x11, 0x86, 0xb7, 0x7e, 0xe5, 0xd7, 0xf9, 0xc3, 0x91, 0x1c, 0x05}}}, -{{{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}}, +{{{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}}}, {{{0xea, 0xd6, 0xde, 0x29, 0x3a, 0x00, 0xb9, 0x02, 0x59, 0xcb, 0x26, 0xc4, 0xba, 0x99, 0xb1, 0x97, 0x2f, 0x8e, 0x00, 0x92, 0x26, 0x4f, 0x52, 0xeb, 0x47, 0x1b, 0x89, 0x8b, 0x24, 0xc0, 0x13, 0x7d}} , {{0xd5, 0x20, 0x5b, 0x80, 0xa6, 0x80, 0x20, 0x95, 0xc3, 0xe9, 0x9f, 0x8e, 0x87, 0x9e, 0x1e, 0x9e, 0x7a, 0xc7, 0xcc, 0x75, 0x6c, 0xa5, 0xf1, 0x91, 0x1a, 0xa8, 0x01, 0x2c, 0xab, 0x76, 0xa9, 0x59}}}, @@ -1066,7 +927,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x22, 0xf5, 0x5f, 0x4d, 0x15, 0xef, 0xfc, 0x4e, 0x57, 0x03, 0x36, 0x89, 0xf0, 0xeb, 0x5b, 0x91, 0xd6, 0xe2, 0xca, 0x01, 0xa5, 0xee, 0x52, 0xec, 0xa0, 0x3c, 0x8f, 0x33, 0x90, 0x5a, 0x94, 0x72}}}, {{{0x8a, 0x4b, 0xe7, 0x38, 0xbc, 0xda, 0xc2, 0xb0, 0x85, 0xe1, 0x4a, 0xfe, 0x2d, 0x44, 0x84, 0xcb, 0x20, 0x6b, 0x2d, 0xbf, 0x11, 0x9c, 0xd7, 0xbe, 0xd3, 0x3e, 0x5f, 0xbf, 0x68, 0xbc, 0xa8, 0x07}} , {{0x01, 0x89, 0x28, 0x22, 0x6a, 0x78, 0xaa, 0x29, 0x03, 0xc8, 0x74, 0x95, 0x03, 0x3e, 0xdc, 0xbd, 0x07, 0x13, 0xa8, 0xa2, 0x20, 0x2d, 0xb3, 0x18, 0x70, 0x42, 0xfd, 0x7a, 0xc4, 0xd7, 0x49, 0x72}}}, -{{{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}}, +{{{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}}}, {{{0x02, 0xff, 0x32, 0x2b, 0x5c, 0x93, 0x54, 0x32, 0xe8, 0x57, 0x54, 0x1a, 0x8b, 0x33, 0x60, 0x65, 0xd3, 0x67, 0xa4, 0xc1, 0x26, 0xc4, 0xa4, 0x34, 0x1f, 0x9b, 0xa7, 0xa9, 0xf4, 0xd9, 0x4f, 0x5b}} , {{0x46, 0x8d, 0xb0, 0x33, 0x54, 0x26, 0x5b, 0x68, 0xdf, 0xbb, 0xc5, 0xec, 0xc2, 0xf9, 0x3c, 0x5a, 0x37, 0xc1, 0x8e, 0x27, 0x47, 0xaa, 0x49, 0x5a, 0xf8, 0xfb, 0x68, 0x04, 0x23, 0xd1, 0xeb, 0x40}}}, @@ -1076,7 +937,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x60, 0xd6, 0xdd, 0x78, 0xe6, 0xd4, 0x22, 0x42, 0x1f, 0x00, 0xf9, 0xb1, 0x6a, 0x63, 0xe2, 0x92, 0x59, 0xd1, 0x1a, 0xb7, 0x00, 0x54, 0x29, 0xc9, 0xc1, 0xf6, 0x6f, 0x7a, 0xc5, 0x3c, 0x5f, 0x65}}}, {{{0x27, 0x4f, 0xd0, 0x72, 0xb1, 0x11, 0x14, 0x27, 0x15, 0x94, 0x48, 0x81, 0x7e, 0x74, 0xd8, 0x32, 0xd5, 0xd1, 0x11, 0x28, 0x60, 0x63, 0x36, 0x32, 0x37, 0xb5, 0x13, 0x1c, 0xa0, 0x37, 0xe3, 0x74}} , {{0xf1, 0x25, 0x4e, 0x11, 0x96, 0x67, 0xe6, 0x1c, 0xc2, 0xb2, 0x53, 0xe2, 0xda, 0x85, 0xee, 0xb2, 0x9f, 0x59, 0xf3, 0xba, 0xbd, 0xfa, 0xcf, 0x6e, 0xf9, 0xda, 0xa4, 0xb3, 0x02, 0x8f, 0x64, 0x08}}}, -{{{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}}, +{{{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}}}, {{{0x34, 0x94, 0xf2, 0x64, 0x54, 0x47, 0x37, 0x07, 0x40, 0x8a, 0x20, 0xba, 0x4a, 0x55, 0xd7, 0x3f, 0x47, 0xba, 0x25, 0x23, 0x14, 0xb0, 0x2c, 0xe8, 0x55, 0xa8, 0xa6, 0xef, 0x51, 0xbd, 0x6f, 0x6a}} , {{0x71, 0xd6, 0x16, 0x76, 0xb2, 0x06, 0xea, 0x79, 0xf5, 0xc4, 0xc3, 0x52, 0x7e, 0x61, 0xd1, 0xe1, 0xad, 0x70, 0x78, 0x1d, 0x16, 0x11, 0xf8, 0x7c, 0x2b, 0xfc, 0x55, 0x9f, 0x52, 0xf8, 0xf5, 0x16}}}, @@ -1086,7 +947,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x02, 0xcc, 0x22, 0x74, 0x4d, 0x19, 0x07, 0xc0, 0xda, 0xb5, 0x76, 0x51, 0x2a, 0xaa, 0xa6, 0x0a, 0x5f, 0x26, 0xd4, 0xbc, 0xaf, 0x48, 0x88, 0x7f, 0x02, 0xbc, 0xf2, 0xe1, 0xcf, 0xe9, 0xdd, 0x15}}}, {{{0xed, 0xb5, 0x9a, 0x8c, 0x9a, 0xdd, 0x27, 0xf4, 0x7f, 0x47, 0xd9, 0x52, 0xa7, 0xcd, 0x65, 0xa5, 0x31, 0x22, 0xed, 0xa6, 0x63, 0x5b, 0x80, 0x4a, 0xad, 0x4d, 0xed, 0xbf, 0xee, 0x49, 0xb3, 0x06}} , {{0xf8, 0x64, 0x8b, 0x60, 0x90, 0xe9, 0xde, 0x44, 0x77, 0xb9, 0x07, 0x36, 0x32, 0xc2, 0x50, 0xf5, 0x65, 0xdf, 0x48, 0x4c, 0x37, 0xaa, 0x68, 0xab, 0x9a, 0x1f, 0x3e, 0xff, 0x89, 0x92, 0xa0, 0x07}}}, -{{{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}}, +{{{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}}}, {{{0x7d, 0x4f, 0x9c, 0x19, 0xc0, 0x4a, 0x31, 0xec, 0xf9, 0xaa, 0xeb, 0xb2, 0x16, 0x9c, 0xa3, 0x66, 0x5f, 0xd1, 0xd4, 0xed, 0xb8, 0x92, 0x1c, 0xab, 0xda, 0xea, 0xd9, 0x57, 0xdf, 0x4c, 0x2a, 0x48}} , {{0x4b, 0xb0, 0x4e, 0x6e, 0x11, 0x3b, 0x51, 0xbd, 0x6a, 0xfd, 0xe4, 0x25, 0xa5, 0x5f, 0x11, 0x3f, 0x98, 0x92, 0x51, 0x14, 0xc6, 0x5f, 0x3c, 0x0b, 0xa8, 0xf7, 0xc2, 0x81, 0x43, 0xde, 0x91, 0x73}}}, @@ -1096,7 +957,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x2e, 0x69, 0x98, 0xfd, 0xc6, 0xbd, 0xcc, 0xca, 0xdf, 0x9a, 0x44, 0x7e, 0x9d, 0xca, 0x89, 0x6d, 0xbf, 0x27, 0xc2, 0xf8, 0xcd, 0x46, 0x00, 0x2b, 0xb5, 0x58, 0x4e, 0xb7, 0x89, 0x09, 0xe9, 0x2d}}}, {{{0x54, 0xbe, 0x75, 0xcb, 0x05, 0xb0, 0x54, 0xb7, 0xe7, 0x26, 0x86, 0x4a, 0xfc, 0x19, 0xcf, 0x27, 0x46, 0xd4, 0x22, 0x96, 0x5a, 0x11, 0xe8, 0xd5, 0x1b, 0xed, 0x71, 0xc5, 0x5d, 0xc8, 0xaf, 0x45}} , {{0x40, 0x7b, 0x77, 0x57, 0x49, 0x9e, 0x80, 0x39, 0x23, 0xee, 0x81, 0x0b, 0x22, 0xcf, 0xdb, 0x7a, 0x2f, 0x14, 0xb8, 0x57, 0x8f, 0xa1, 0x39, 0x1e, 0x77, 0xfc, 0x0b, 0xa6, 0xbf, 0x8a, 0x0c, 0x6c}}}, -{{{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}}, +{{{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}}}, {{{0x77, 0x3a, 0xd4, 0xd8, 0x27, 0xcf, 0xe8, 0xa1, 0x72, 0x9d, 0xca, 0xdd, 0x0d, 0x96, 0xda, 0x79, 0xed, 0x56, 0x42, 0x15, 0x60, 0xc7, 0x1c, 0x6b, 0x26, 0x30, 0xf6, 0x6a, 0x95, 0x67, 0xf3, 0x0a}} , {{0xc5, 0x08, 0xa4, 0x2b, 0x2f, 0xbd, 0x31, 0x81, 0x2a, 0xa6, 0xb6, 0xe4, 0x00, 0x91, 0xda, 0x3d, 0xb2, 0xb0, 0x96, 0xce, 0x8a, 0xd2, 0x8d, 0x70, 0xb3, 0xd3, 0x34, 0x01, 0x90, 0x8d, 0x10, 0x21}}}, @@ -1106,7 +967,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x61, 0x36, 0xd6, 0x08, 0x90, 0xbf, 0xa7, 0x7a, 0x97, 0x6c, 0x0f, 0x84, 0xd5, 0x33, 0x2d, 0x37, 0xc9, 0x6a, 0x80, 0x90, 0x3d, 0x0a, 0xa2, 0xaa, 0xe1, 0xb8, 0x84, 0xba, 0x61, 0x36, 0xdd, 0x69}}}, {{{0x6b, 0xdb, 0x5b, 0x9c, 0xc6, 0x92, 0xbc, 0x23, 0xaf, 0xc5, 0xb8, 0x75, 0xf8, 0x42, 0xfa, 0xd6, 0xb6, 0x84, 0x94, 0x63, 0x98, 0x93, 0x48, 0x78, 0x38, 0xcd, 0xbb, 0x18, 0x34, 0xc3, 0xdb, 0x67}} , {{0x96, 0xf3, 0x3a, 0x09, 0x56, 0xb0, 0x6f, 0x7c, 0x51, 0x1e, 0x1b, 0x39, 0x48, 0xea, 0xc9, 0x0c, 0x25, 0xa2, 0x7a, 0xca, 0xe7, 0x92, 0xfc, 0x59, 0x30, 0xa3, 0x89, 0x85, 0xdf, 0x6f, 0x43, 0x38}}}, -{{{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}}, +{{{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}}}, {{{0x79, 0x84, 0x44, 0x19, 0xbd, 0xe9, 0x54, 0xc4, 0xc0, 0x6e, 0x2a, 0xa8, 0xa8, 0x9b, 0x43, 0xd5, 0x71, 0x22, 0x5f, 0xdc, 0x01, 0xfa, 0xdf, 0xb3, 0xb8, 0x47, 0x4b, 0x0a, 0xa5, 0x44, 0xea, 0x29}} , {{0x05, 0x90, 0x50, 0xaf, 0x63, 0x5f, 0x9d, 0x9e, 0xe1, 0x9d, 0x38, 0x97, 0x1f, 0x6c, 0xac, 0x30, 0x46, 0xb2, 0x6a, 0x19, 0xd1, 0x4b, 0xdb, 0xbb, 0x8c, 0xda, 0x2e, 0xab, 0xc8, 0x5a, 0x77, 0x6c}}}, @@ -1116,7 +977,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x5d, 0x04, 0xb3, 0x40, 0x28, 0x95, 0x2d, 0x30, 0x83, 0xec, 0x5e, 0xe4, 0xff, 0x75, 0xfe, 0x79, 0x26, 0x9d, 0x1d, 0x36, 0xcd, 0x0a, 0x15, 0xd2, 0x24, 0x14, 0x77, 0x71, 0xd7, 0x8a, 0x1b, 0x04}}}, {{{0x5d, 0x93, 0xc9, 0xbe, 0xaa, 0x90, 0xcd, 0x9b, 0xfb, 0x73, 0x7e, 0xb0, 0x64, 0x98, 0x57, 0x44, 0x42, 0x41, 0xb1, 0xaf, 0xea, 0xc1, 0xc3, 0x22, 0xff, 0x60, 0x46, 0xcb, 0x61, 0x81, 0x70, 0x61}} , {{0x0d, 0x82, 0xb9, 0xfe, 0x21, 0xcd, 0xc4, 0xf5, 0x98, 0x0c, 0x4e, 0x72, 0xee, 0x87, 0x49, 0xf8, 0xa1, 0x95, 0xdf, 0x8f, 0x2d, 0xbd, 0x21, 0x06, 0x7c, 0x15, 0xe8, 0x12, 0x6d, 0x93, 0xd6, 0x38}}}, -{{{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}}, +{{{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}}}, {{{0x91, 0xf7, 0x51, 0xd9, 0xef, 0x7d, 0x42, 0x01, 0x13, 0xe9, 0xb8, 0x7f, 0xa6, 0x49, 0x17, 0x64, 0x21, 0x80, 0x83, 0x2c, 0x63, 0x4c, 0x60, 0x09, 0x59, 0x91, 0x92, 0x77, 0x39, 0x51, 0xf4, 0x48}} , {{0x60, 0xd5, 0x22, 0x83, 0x08, 0x2f, 0xff, 0x99, 0x3e, 0x69, 0x6d, 0x88, 0xda, 0xe7, 0x5b, 0x52, 0x26, 0x31, 0x2a, 0xe5, 0x89, 0xde, 0x68, 0x90, 0xb6, 0x22, 0x5a, 0xbd, 0xd3, 0x85, 0x53, 0x31}}}, @@ -1126,7 +987,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xba, 0x38, 0x02, 0xf7, 0x81, 0x43, 0x83, 0xa3, 0x20, 0x4f, 0x01, 0x3b, 0x8a, 0x04, 0x38, 0x31, 0xc6, 0x0f, 0xc8, 0xdf, 0xd7, 0xfa, 0x2f, 0x88, 0x3f, 0xfc, 0x0c, 0x76, 0xc4, 0xa6, 0x45, 0x72}}}, {{{0xbb, 0x0c, 0xbc, 0x6a, 0xa4, 0x97, 0x17, 0x93, 0x2d, 0x6f, 0xde, 0x72, 0x10, 0x1c, 0x08, 0x2c, 0x0f, 0x80, 0x32, 0x68, 0x27, 0xd4, 0xab, 0xdd, 0xc5, 0x58, 0x61, 0x13, 0x6d, 0x11, 0x1e, 0x4d}} , {{0x1a, 0xb9, 0xc9, 0x10, 0xfb, 0x1e, 0x4e, 0xf4, 0x84, 0x4b, 0x8a, 0x5e, 0x7b, 0x4b, 0xe8, 0x43, 0x8c, 0x8f, 0x00, 0xb5, 0x54, 0x13, 0xc5, 0x5c, 0xb6, 0x35, 0x4e, 0x9d, 0xe4, 0x5b, 0x41, 0x6d}}}, -{{{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}}, +{{{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}}}, {{{0x15, 0x7d, 0x12, 0x48, 0x82, 0x14, 0x42, 0xcd, 0x32, 0xd4, 0x4b, 0xc1, 0x72, 0x61, 0x2a, 0x8c, 0xec, 0xe2, 0xf8, 0x24, 0x45, 0x94, 0xe3, 0xbe, 0xdd, 0x67, 0xa8, 0x77, 0x5a, 0xae, 0x5b, 0x4b}} , {{0xcb, 0x77, 0x9a, 0x20, 0xde, 0xb8, 0x23, 0xd9, 0xa0, 0x0f, 0x8c, 0x7b, 0xa5, 0xcb, 0xae, 0xb6, 0xec, 0x42, 0x67, 0x0e, 0x58, 0xa4, 0x75, 0x98, 0x21, 0x71, 0x84, 0xb3, 0xe0, 0x76, 0x94, 0x73}}}, @@ -1136,7 +997,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x32, 0xfb, 0x86, 0xec, 0x33, 0x6b, 0x2e, 0x51, 0x2b, 0xc8, 0xfa, 0x6c, 0x70, 0x47, 0x7e, 0xce, 0x05, 0x0c, 0x71, 0xf3, 0xb4, 0x56, 0xa6, 0xdc, 0xcc, 0x78, 0x07, 0x75, 0xd0, 0xdd, 0xb2, 0x6a}}}, {{{0xc6, 0xef, 0xb9, 0xc0, 0x2b, 0x22, 0x08, 0x1e, 0x71, 0x70, 0xb3, 0x35, 0x9c, 0x7a, 0x01, 0x92, 0x44, 0x9a, 0xf6, 0xb0, 0x58, 0x95, 0xc1, 0x9b, 0x02, 0xed, 0x2d, 0x7c, 0x34, 0x29, 0x49, 0x44}} , {{0x45, 0x62, 0x1d, 0x2e, 0xff, 0x2a, 0x1c, 0x21, 0xa4, 0x25, 0x7b, 0x0d, 0x8c, 0x15, 0x39, 0xfc, 0x8f, 0x7c, 0xa5, 0x7d, 0x1e, 0x25, 0xa3, 0x45, 0xd6, 0xab, 0xbd, 0xcb, 0xc5, 0x5e, 0x78, 0x77}}}, -{{{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}}, +{{{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}}}, {{{0xd0, 0xd3, 0x42, 0xed, 0x1d, 0x00, 0x3c, 0x15, 0x2c, 0x9c, 0x77, 0x81, 0xd2, 0x73, 0xd1, 0x06, 0xd5, 0xc4, 0x7f, 0x94, 0xbb, 0x92, 0x2d, 0x2c, 0x4b, 0x45, 0x4b, 0xe9, 0x2a, 0x89, 0x6b, 0x2b}} , {{0xd2, 0x0c, 0x88, 0xc5, 0x48, 0x4d, 0xea, 0x0d, 0x4a, 0xc9, 0x52, 0x6a, 0x61, 0x79, 0xe9, 0x76, 0xf3, 0x85, 0x52, 0x5c, 0x1b, 0x2c, 0xe1, 0xd6, 0xc4, 0x0f, 0x18, 0x0e, 0x4e, 0xf6, 0x1c, 0x7f}}}, @@ -1146,7 +1007,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x4c, 0xe6, 0xb0, 0xc1, 0xa5, 0x2a, 0x82, 0x09, 0x08, 0xad, 0x79, 0x9c, 0x56, 0xf6, 0xf9, 0xc1, 0xd7, 0x7c, 0x39, 0x7f, 0x93, 0xca, 0x11, 0x55, 0xbf, 0x07, 0x1b, 0x82, 0x29, 0x69, 0x95, 0x5c}}}, {{{0x87, 0xee, 0xa6, 0x56, 0x9e, 0xc2, 0x9a, 0x56, 0x24, 0x42, 0x85, 0x4d, 0x98, 0x31, 0x1e, 0x60, 0x4d, 0x87, 0x85, 0x04, 0xae, 0x46, 0x12, 0xf9, 0x8e, 0x7f, 0xe4, 0x7f, 0xf6, 0x1c, 0x37, 0x01}} , {{0x73, 0x4c, 0xb6, 0xc5, 0xc4, 0xe9, 0x6c, 0x85, 0x48, 0x4a, 0x5a, 0xac, 0xd9, 0x1f, 0x43, 0xf8, 0x62, 0x5b, 0xee, 0x98, 0x2a, 0x33, 0x8e, 0x79, 0xce, 0x61, 0x06, 0x35, 0xd8, 0xd7, 0xca, 0x71}}}, -{{{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}}, +{{{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}}}, {{{0x72, 0xd3, 0xae, 0xa6, 0xca, 0x8f, 0xcd, 0xcc, 0x78, 0x8e, 0x19, 0x4d, 0xa7, 0xd2, 0x27, 0xe9, 0xa4, 0x3c, 0x16, 0x5b, 0x84, 0x80, 0xf9, 0xd0, 0xcc, 0x6a, 0x1e, 0xca, 0x1e, 0x67, 0xbd, 0x63}} , {{0x7b, 0x6e, 0x2a, 0xd2, 0x87, 0x48, 0xff, 0xa1, 0xca, 0xe9, 0x15, 0x85, 0xdc, 0xdb, 0x2c, 0x39, 0x12, 0x91, 0xa9, 0x20, 0xaa, 0x4f, 0x29, 0xf4, 0x15, 0x7a, 0xd2, 0xf5, 0x32, 0xcc, 0x60, 0x04}}}, @@ -1156,7 +1017,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xbb, 0x40, 0x5e, 0xbc, 0x16, 0x92, 0x05, 0xc4, 0xc0, 0x4e, 0x72, 0x90, 0x0e, 0xab, 0xcf, 0x8a, 0xed, 0xef, 0xb9, 0x2d, 0x3b, 0xf8, 0x43, 0x5b, 0xba, 0x2d, 0xeb, 0x2f, 0x52, 0xd2, 0xd1, 0x5a}}}, {{{0x40, 0xb4, 0xab, 0xe6, 0xad, 0x9f, 0x46, 0x69, 0x4a, 0xb3, 0x8e, 0xaa, 0xea, 0x9c, 0x8a, 0x20, 0x16, 0x5d, 0x8c, 0x13, 0xbd, 0xf6, 0x1d, 0xc5, 0x24, 0xbd, 0x90, 0x2a, 0x1c, 0xc7, 0x13, 0x3b}} , {{0x54, 0xdc, 0x16, 0x0d, 0x18, 0xbe, 0x35, 0x64, 0x61, 0x52, 0x02, 0x80, 0xaf, 0x05, 0xf7, 0xa6, 0x42, 0xd3, 0x8f, 0x2e, 0x79, 0x26, 0xa8, 0xbb, 0xb2, 0x17, 0x48, 0xb2, 0x7a, 0x0a, 0x89, 0x14}}}, -{{{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}}, +{{{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}}}, {{{0x20, 0xa8, 0x88, 0xe3, 0x91, 0xc0, 0x6e, 0xbb, 0x8a, 0x27, 0x82, 0x51, 0x83, 0xb2, 0x28, 0xa9, 0x83, 0xeb, 0xa6, 0xa9, 0x4d, 0x17, 0x59, 0x22, 0x54, 0x00, 0x50, 0x45, 0xcb, 0x48, 0x4b, 0x18}} , {{0x33, 0x7c, 0xe7, 0x26, 0xba, 0x4d, 0x32, 0xfe, 0x53, 0xf4, 0xfa, 0x83, 0xe3, 0xa5, 0x79, 0x66, 0x73, 0xef, 0x80, 0x23, 0x68, 0xc2, 0x60, 0xdd, 0xa9, 0x33, 0xdc, 0x03, 0x7a, 0xe0, 0xe0, 0x3e}}}, @@ -1166,7 +1027,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x6e, 0x44, 0xa3, 0xf9, 0x64, 0xaf, 0xe7, 0x6d, 0x7d, 0xdf, 0x1e, 0xac, 0x04, 0xea, 0x3b, 0x5f, 0x9b, 0xe8, 0x24, 0x9d, 0x0e, 0xe5, 0x2e, 0x3e, 0xdf, 0xa9, 0xf7, 0xd4, 0x50, 0x71, 0xf0, 0x78}}}, {{{0x3e, 0xa8, 0x38, 0xc2, 0x57, 0x56, 0x42, 0x9a, 0xb1, 0xe2, 0xf8, 0x45, 0xaa, 0x11, 0x48, 0x5f, 0x17, 0xc4, 0x54, 0x27, 0xdc, 0x5d, 0xaa, 0xdd, 0x41, 0xbc, 0xdf, 0x81, 0xb9, 0x53, 0xee, 0x52}} , {{0xc3, 0xf1, 0xa7, 0x6d, 0xb3, 0x5f, 0x92, 0x6f, 0xcc, 0x91, 0xb8, 0x95, 0x05, 0xdf, 0x3c, 0x64, 0x57, 0x39, 0x61, 0x51, 0xad, 0x8c, 0x38, 0x7b, 0xc8, 0xde, 0x00, 0x34, 0xbe, 0xa1, 0xb0, 0x7e}}}, -{{{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}}, +{{{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}}}, {{{0x25, 0x24, 0x1d, 0x8a, 0x67, 0x20, 0xee, 0x42, 0xeb, 0x38, 0xed, 0x0b, 0x8b, 0xcd, 0x46, 0x9d, 0x5e, 0x6b, 0x1e, 0x24, 0x9d, 0x12, 0x05, 0x1a, 0xcc, 0x05, 0x4e, 0x92, 0x38, 0xe1, 0x1f, 0x50}} , {{0x4e, 0xee, 0x1c, 0x91, 0xe6, 0x11, 0xbd, 0x8e, 0x55, 0x1a, 0x18, 0x75, 0x66, 0xaf, 0x4d, 0x7b, 0x0f, 0xae, 0x6d, 0x85, 0xca, 0x82, 0x58, 0x21, 0x9c, 0x18, 0xe0, 0xed, 0xec, 0x22, 0x80, 0x2f}}}, @@ -1176,7 +1037,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xa1, 0x0c, 0xf3, 0x08, 0x43, 0xd9, 0x24, 0x1e, 0x83, 0xa7, 0xdf, 0x91, 0xca, 0xbd, 0x69, 0x47, 0x8d, 0x1b, 0xe2, 0xb9, 0x4e, 0xb5, 0xe1, 0x76, 0xb3, 0x1c, 0x93, 0x03, 0xce, 0x5f, 0xb3, 0x5a}}}, {{{0x1d, 0xda, 0xe4, 0x61, 0x03, 0x50, 0xa9, 0x8b, 0x68, 0x18, 0xef, 0xb2, 0x1c, 0x84, 0x3b, 0xa2, 0x44, 0x95, 0xa3, 0x04, 0x3b, 0xd6, 0x99, 0x00, 0xaf, 0x76, 0x42, 0x67, 0x02, 0x7d, 0x85, 0x56}} , {{0xce, 0x72, 0x0e, 0x29, 0x84, 0xb2, 0x7d, 0xd2, 0x45, 0xbe, 0x57, 0x06, 0xed, 0x7f, 0xcf, 0xed, 0xcd, 0xef, 0x19, 0xd6, 0xbc, 0x15, 0x79, 0x64, 0xd2, 0x18, 0xe3, 0x20, 0x67, 0x3a, 0x54, 0x0b}}}, -{{{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}}, +{{{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}}}, {{{0x52, 0xfd, 0x04, 0xc5, 0xfb, 0x99, 0xe7, 0xe8, 0xfb, 0x8c, 0xe1, 0x42, 0x03, 0xef, 0x9d, 0xd9, 0x9e, 0x4d, 0xf7, 0x80, 0xcf, 0x2e, 0xcc, 0x9b, 0x45, 0xc9, 0x7b, 0x7a, 0xbc, 0x37, 0xa8, 0x52}} , {{0x96, 0x11, 0x41, 0x8a, 0x47, 0x91, 0xfe, 0xb6, 0xda, 0x7a, 0x54, 0x63, 0xd1, 0x14, 0x35, 0x05, 0x86, 0x8c, 0xa9, 0x36, 0x3f, 0xf2, 0x85, 0x54, 0x4e, 0x92, 0xd8, 0x85, 0x01, 0x46, 0xd6, 0x50}}}, @@ -1186,7 +1047,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x93, 0x1c, 0x06, 0x2d, 0x66, 0x65, 0x02, 0xa4, 0x97, 0x18, 0xfd, 0x00, 0xe7, 0xab, 0x03, 0xec, 0xce, 0xc1, 0xbf, 0x37, 0xf8, 0x13, 0x53, 0xa5, 0xe5, 0x0c, 0x3a, 0xa8, 0x55, 0xb9, 0xff, 0x68}}}, {{{0xe4, 0xe6, 0x6d, 0x30, 0x7d, 0x30, 0x35, 0xc2, 0x78, 0x87, 0xf9, 0xfc, 0x6b, 0x5a, 0xc3, 0xb7, 0x65, 0xd8, 0x2e, 0xc7, 0xa5, 0x0c, 0xc6, 0xdc, 0x12, 0xaa, 0xd6, 0x4f, 0xc5, 0x38, 0xbc, 0x0e}} , {{0xe2, 0x3c, 0x76, 0x86, 0x38, 0xf2, 0x7b, 0x2c, 0x16, 0x78, 0x8d, 0xf5, 0xa4, 0x15, 0xda, 0xdb, 0x26, 0x85, 0xa0, 0x56, 0xdd, 0x1d, 0xe3, 0xb3, 0xfd, 0x40, 0xef, 0xf2, 0xd9, 0xa1, 0xb3, 0x04}}}, -{{{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}}, +{{{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}}}, {{{0xdb, 0x49, 0x0e, 0xe6, 0x58, 0x10, 0x7a, 0x52, 0xda, 0xb5, 0x7d, 0x37, 0x6a, 0x3e, 0xa1, 0x78, 0xce, 0xc7, 0x1c, 0x24, 0x23, 0xdb, 0x7d, 0xfb, 0x8c, 0x8d, 0xdc, 0x30, 0x67, 0x69, 0x75, 0x3b}} , {{0xa9, 0xea, 0x6d, 0x16, 0x16, 0x60, 0xf4, 0x60, 0x87, 0x19, 0x44, 0x8c, 0x4a, 0x8b, 0x3e, 0xfb, 0x16, 0x00, 0x00, 0x54, 0xa6, 0x9e, 0x9f, 0xef, 0xcf, 0xd9, 0xd2, 0x4c, 0x74, 0x31, 0xd0, 0x34}}}, @@ -1196,7 +1057,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xb0, 0x8b, 0xaa, 0x1e, 0xec, 0xc7, 0xa5, 0x8f, 0x1f, 0x92, 0x04, 0xc6, 0x05, 0xf6, 0xdf, 0xa1, 0xcc, 0x1f, 0x81, 0xf5, 0x0e, 0x9c, 0x57, 0xdc, 0xe3, 0xbb, 0x06, 0x87, 0x1e, 0xfe, 0x23, 0x6c}}}, {{{0xd8, 0x2b, 0x5b, 0x16, 0xea, 0x20, 0xf1, 0xd3, 0x68, 0x8f, 0xae, 0x5b, 0xd0, 0xa9, 0x1a, 0x19, 0xa8, 0x36, 0xfb, 0x2b, 0x57, 0x88, 0x7d, 0x90, 0xd5, 0xa6, 0xf3, 0xdc, 0x38, 0x89, 0x4e, 0x1f}} , {{0xcc, 0x19, 0xda, 0x9b, 0x3b, 0x43, 0x48, 0x21, 0x2e, 0x23, 0x4d, 0x3d, 0xae, 0xf8, 0x8c, 0xfc, 0xdd, 0xa6, 0x74, 0x37, 0x65, 0xca, 0xee, 0x1a, 0x19, 0x8e, 0x9f, 0x64, 0x6f, 0x0c, 0x8b, 0x5a}}}, -{{{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}}, +{{{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}}}, {{{0x25, 0xb9, 0xc2, 0xf0, 0x72, 0xb8, 0x15, 0x16, 0xcc, 0x8d, 0x3c, 0x6f, 0x25, 0xed, 0xf4, 0x46, 0x2e, 0x0c, 0x60, 0x0f, 0xe2, 0x84, 0x34, 0x55, 0x89, 0x59, 0x34, 0x1b, 0xf5, 0x8d, 0xfe, 0x08}} , {{0xf8, 0xab, 0x93, 0xbc, 0x44, 0xba, 0x1b, 0x75, 0x4b, 0x49, 0x6f, 0xd0, 0x54, 0x2e, 0x63, 0xba, 0xb5, 0xea, 0xed, 0x32, 0x14, 0xc9, 0x94, 0xd8, 0xc5, 0xce, 0xf4, 0x10, 0x68, 0xe0, 0x38, 0x27}}}, @@ -1206,7 +1067,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x6c, 0xba, 0x14, 0xc5, 0xea, 0x12, 0x9e, 0x2e, 0x82, 0x63, 0xce, 0x9b, 0x4a, 0xe7, 0x1d, 0xec, 0xf1, 0x2e, 0x51, 0x1c, 0xf4, 0xd0, 0x69, 0x15, 0x42, 0x9d, 0xa3, 0x3f, 0x0e, 0xbf, 0xe9, 0x5c}}}, {{{0xe4, 0x0d, 0xf4, 0xbd, 0xee, 0x31, 0x10, 0xed, 0xcb, 0x12, 0x86, 0xad, 0xd4, 0x2f, 0x90, 0x37, 0x32, 0xc3, 0x0b, 0x73, 0xec, 0x97, 0x85, 0xa4, 0x01, 0x1c, 0x76, 0x35, 0xfe, 0x75, 0xdd, 0x71}} , {{0x11, 0xa4, 0x88, 0x9f, 0x3e, 0x53, 0x69, 0x3b, 0x1b, 0xe0, 0xf7, 0xba, 0x9b, 0xad, 0x4e, 0x81, 0x5f, 0xb5, 0x5c, 0xae, 0xbe, 0x67, 0x86, 0x37, 0x34, 0x8e, 0x07, 0x32, 0x45, 0x4a, 0x67, 0x39}}}, -{{{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}}, +{{{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}}}, {{{0x90, 0x70, 0x58, 0x20, 0x03, 0x1e, 0x67, 0xb2, 0xc8, 0x9b, 0x58, 0xc5, 0xb1, 0xeb, 0x2d, 0x4a, 0xde, 0x82, 0x8c, 0xf2, 0xd2, 0x14, 0xb8, 0x70, 0x61, 0x4e, 0x73, 0xd6, 0x0b, 0x6b, 0x0d, 0x30}} , {{0x81, 0xfc, 0x55, 0x5c, 0xbf, 0xa7, 0xc4, 0xbd, 0xe2, 0xf0, 0x4b, 0x8f, 0xe9, 0x7d, 0x99, 0xfa, 0xd3, 0xab, 0xbc, 0xc7, 0x83, 0x2b, 0x04, 0x7f, 0x0c, 0x19, 0x43, 0x03, 0x3d, 0x07, 0xca, 0x40}}}, @@ -1216,7 +1077,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x17, 0x62, 0x6b, 0x14, 0xa1, 0x7c, 0xd0, 0x79, 0x6e, 0xd8, 0x8a, 0xa5, 0x6d, 0x8c, 0x93, 0xd2, 0x3f, 0xec, 0x44, 0x8d, 0x6e, 0x91, 0x01, 0x8c, 0x8f, 0xee, 0x01, 0x8f, 0xc0, 0xb4, 0x85, 0x0e}}}, {{{0x02, 0x3a, 0x70, 0x41, 0xe4, 0x11, 0x57, 0x23, 0xac, 0xe6, 0xfc, 0x54, 0x7e, 0xcd, 0xd7, 0x22, 0xcb, 0x76, 0x9f, 0x20, 0xce, 0xa0, 0x73, 0x76, 0x51, 0x3b, 0xa4, 0xf8, 0xe3, 0x62, 0x12, 0x6c}} , {{0x7f, 0x00, 0x9c, 0x26, 0x0d, 0x6f, 0x48, 0x7f, 0x3a, 0x01, 0xed, 0xc5, 0x96, 0xb0, 0x1f, 0x4f, 0xa8, 0x02, 0x62, 0x27, 0x8a, 0x50, 0x8d, 0x9a, 0x8b, 0x52, 0x0f, 0x1e, 0xcf, 0x41, 0x38, 0x19}}}, -{{{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}}, +{{{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}}}, {{{0xf5, 0x6c, 0xd4, 0x2f, 0x0f, 0x69, 0x0f, 0x87, 0x3f, 0x61, 0x65, 0x1e, 0x35, 0x34, 0x85, 0xba, 0x02, 0x30, 0xac, 0x25, 0x3d, 0xe2, 0x62, 0xf1, 0xcc, 0xe9, 0x1b, 0xc2, 0xef, 0x6a, 0x42, 0x57}} , {{0x34, 0x1f, 0x2e, 0xac, 0xd1, 0xc7, 0x04, 0x52, 0x32, 0x66, 0xb2, 0x33, 0x73, 0x21, 0x34, 0x54, 0xf7, 0x71, 0xed, 0x06, 0xb0, 0xff, 0xa6, 0x59, 0x6f, 0x8a, 0x4e, 0xfb, 0x02, 0xb0, 0x45, 0x6b}}}, @@ -1226,7 +1087,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xdd, 0xb5, 0x7d, 0xab, 0x5a, 0x21, 0x41, 0x53, 0xbb, 0x17, 0x79, 0x0d, 0xd1, 0xa8, 0x0c, 0x0c, 0x20, 0x88, 0x09, 0xe9, 0x84, 0xe8, 0x25, 0x11, 0x67, 0x7a, 0x8b, 0x1a, 0xe4, 0x5d, 0xe1, 0x5d}}}, {{{0x37, 0xea, 0xfe, 0x65, 0x3b, 0x25, 0xe8, 0xe1, 0xc2, 0xc5, 0x02, 0xa4, 0xbe, 0x98, 0x0a, 0x2b, 0x61, 0xc1, 0x9b, 0xe2, 0xd5, 0x92, 0xe6, 0x9e, 0x7d, 0x1f, 0xca, 0x43, 0x88, 0x8b, 0x2c, 0x59}} , {{0xe0, 0xb5, 0x00, 0x1d, 0x2a, 0x6f, 0xaf, 0x79, 0x86, 0x2f, 0xa6, 0x5a, 0x93, 0xd1, 0xfe, 0xae, 0x3a, 0xee, 0xdb, 0x7c, 0x61, 0xbe, 0x7c, 0x01, 0xf9, 0xfe, 0x52, 0xdc, 0xd8, 0x52, 0xa3, 0x42}}}, -{{{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}}, +{{{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}}}, {{{0x22, 0xaf, 0x13, 0x37, 0xbd, 0x37, 0x71, 0xac, 0x04, 0x46, 0x63, 0xac, 0xa4, 0x77, 0xed, 0x25, 0x38, 0xe0, 0x15, 0xa8, 0x64, 0x00, 0x0d, 0xce, 0x51, 0x01, 0xa9, 0xbc, 0x0f, 0x03, 0x1c, 0x04}} , {{0x89, 0xf9, 0x80, 0x07, 0xcf, 0x3f, 0xb3, 0xe9, 0xe7, 0x45, 0x44, 0x3d, 0x2a, 0x7c, 0xe9, 0xe4, 0x16, 0x5c, 0x5e, 0x65, 0x1c, 0xc7, 0x7d, 0xc6, 0x7a, 0xfb, 0x43, 0xee, 0x25, 0x76, 0x46, 0x72}}}, @@ -1236,7 +1097,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x0d, 0xac, 0x66, 0x6d, 0xc3, 0x8b, 0xba, 0x16, 0xb5, 0xe2, 0xa0, 0x0d, 0x0c, 0xbd, 0xa4, 0x8e, 0x18, 0x6c, 0xf2, 0xdc, 0xf9, 0xdc, 0x4a, 0x86, 0x25, 0x95, 0x14, 0xcb, 0xd8, 0x1a, 0x04, 0x0f}}}, {{{0x97, 0xa5, 0xdb, 0x8b, 0x2d, 0xaa, 0x42, 0x11, 0x09, 0xf2, 0x93, 0xbb, 0xd9, 0x06, 0x84, 0x4e, 0x11, 0xa8, 0xa0, 0x25, 0x2b, 0xa6, 0x5f, 0xae, 0xc4, 0xb4, 0x4c, 0xc8, 0xab, 0xc7, 0x3b, 0x02}} , {{0xee, 0xc9, 0x29, 0x0f, 0xdf, 0x11, 0x85, 0xed, 0xce, 0x0d, 0x62, 0x2c, 0x8f, 0x4b, 0xf9, 0x04, 0xe9, 0x06, 0x72, 0x1d, 0x37, 0x20, 0x50, 0xc9, 0x14, 0xeb, 0xec, 0x39, 0xa7, 0x97, 0x2b, 0x4d}}}, -{{{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}}, +{{{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}}}, {{{0x69, 0xd1, 0x39, 0xbd, 0xfb, 0x33, 0xbe, 0xc4, 0xf0, 0x5c, 0xef, 0xf0, 0x56, 0x68, 0xfc, 0x97, 0x47, 0xc8, 0x72, 0xb6, 0x53, 0xa4, 0x0a, 0x98, 0xa5, 0xb4, 0x37, 0x71, 0xcf, 0x66, 0x50, 0x6d}} , {{0x17, 0xa4, 0x19, 0x52, 0x11, 0x47, 0xb3, 0x5c, 0x5b, 0xa9, 0x2e, 0x22, 0xb4, 0x00, 0x52, 0xf9, 0x57, 0x18, 0xb8, 0xbe, 0x5a, 0xe3, 0xab, 0x83, 0xc8, 0x87, 0x0a, 0x2a, 0xd8, 0x8c, 0xbb, 0x54}}}, @@ -1246,7 +1107,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x20, 0xd6, 0xd8, 0x91, 0x54, 0xa7, 0xf3, 0x20, 0x4b, 0x34, 0x06, 0xfa, 0x30, 0xc8, 0x6f, 0x14, 0x10, 0x65, 0x74, 0x13, 0x4e, 0xf0, 0x69, 0x26, 0xce, 0xcf, 0x90, 0xf4, 0xd0, 0xc5, 0xc8, 0x64}}}, {{{0x26, 0xa2, 0x50, 0x02, 0x24, 0x72, 0xf1, 0xf0, 0x4e, 0x2d, 0x93, 0xd5, 0x08, 0xe7, 0xae, 0x38, 0xf7, 0x18, 0xa5, 0x32, 0x34, 0xc2, 0xf0, 0xa6, 0xec, 0xb9, 0x61, 0x7b, 0x64, 0x99, 0xac, 0x71}} , {{0x25, 0xcf, 0x74, 0x55, 0x1b, 0xaa, 0xa9, 0x38, 0x41, 0x40, 0xd5, 0x95, 0x95, 0xab, 0x1c, 0x5e, 0xbc, 0x41, 0x7e, 0x14, 0x30, 0xbe, 0x13, 0x89, 0xf4, 0xe5, 0xeb, 0x28, 0xc0, 0xc2, 0x96, 0x3a}}}, -{{{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}}, +{{{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, 0x77, 0x45, 0xec, 0x67, 0x76, 0x32, 0x4c, 0xb9, 0xdf, 0x25, 0x32, 0x6b, 0xcb, 0xe7, 0x14, 0x61, 0x43, 0xee, 0xba, 0x9b, 0x71, 0xef, 0xd2, 0x48, 0x65, 0xbb, 0x1b, 0x8a, 0x13, 0x1b, 0x22}} , {{0x84, 0xad, 0x0c, 0x18, 0x38, 0x5a, 0xba, 0xd0, 0x98, 0x59, 0xbf, 0x37, 0xb0, 0x4f, 0x97, 0x60, 0x20, 0xb3, 0x9b, 0x97, 0xf6, 0x08, 0x6c, 0xa4, 0xff, 0xfb, 0xb7, 0xfa, 0x95, 0xb2, 0x51, 0x79}}}, @@ -1256,7 +1117,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xa9, 0x85, 0xf4, 0xe7, 0xb0, 0x15, 0x33, 0x84, 0x1b, 0x14, 0x1a, 0x02, 0xd9, 0x3b, 0xad, 0x0f, 0x43, 0x6c, 0xea, 0x3e, 0x0f, 0x7e, 0xda, 0xdd, 0x6b, 0x4c, 0x7f, 0x6e, 0xd4, 0x6b, 0xbf, 0x0f}}}, {{{0x47, 0x9f, 0x7c, 0x56, 0x7c, 0x43, 0x91, 0x1c, 0xbb, 0x4e, 0x72, 0x3e, 0x64, 0xab, 0xa0, 0xa0, 0xdf, 0xb4, 0xd8, 0x87, 0x3a, 0xbd, 0xa8, 0x48, 0xc9, 0xb8, 0xef, 0x2e, 0xad, 0x6f, 0x84, 0x4f}} , {{0x2d, 0x2d, 0xf0, 0x1b, 0x7e, 0x2a, 0x6c, 0xf8, 0xa9, 0x6a, 0xe1, 0xf0, 0x99, 0xa1, 0x67, 0x9a, 0xd4, 0x13, 0xca, 0xca, 0xba, 0x27, 0x92, 0xaa, 0xa1, 0x5d, 0x50, 0xde, 0xcc, 0x40, 0x26, 0x0a}}}, -{{{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}}, +{{{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}}}, {{{0x9f, 0x3e, 0xf2, 0xb2, 0x90, 0xce, 0xdb, 0x64, 0x3e, 0x03, 0xdd, 0x37, 0x36, 0x54, 0x70, 0x76, 0x24, 0xb5, 0x69, 0x03, 0xfc, 0xa0, 0x2b, 0x74, 0xb2, 0x05, 0x0e, 0xcc, 0xd8, 0x1f, 0x6a, 0x1f}} , {{0x19, 0x5e, 0x60, 0x69, 0x58, 0x86, 0xa0, 0x31, 0xbd, 0x32, 0xe9, 0x2c, 0x5c, 0xd2, 0x85, 0xba, 0x40, 0x64, 0xa8, 0x74, 0xf8, 0x0e, 0x1c, 0xb3, 0xa9, 0x69, 0xe8, 0x1e, 0x40, 0x64, 0x99, 0x77}}}, @@ -1266,7 +1127,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xca, 0x59, 0x74, 0x1a, 0x11, 0xef, 0x6d, 0xf7, 0x39, 0x5c, 0x3b, 0x1f, 0xfa, 0xe3, 0x40, 0x41, 0x23, 0x9e, 0xf6, 0xd1, 0x21, 0xa2, 0xbf, 0xad, 0x65, 0x42, 0x6b, 0x59, 0x8a, 0xe8, 0xc5, 0x7f}}}, {{{0x64, 0x05, 0x7a, 0x84, 0x4a, 0x13, 0xc3, 0xf6, 0xb0, 0x6e, 0x9a, 0x6b, 0x53, 0x6b, 0x32, 0xda, 0xd9, 0x74, 0x75, 0xc4, 0xba, 0x64, 0x3d, 0x3b, 0x08, 0xdd, 0x10, 0x46, 0xef, 0xc7, 0x90, 0x1f}} , {{0x7b, 0x2f, 0x3a, 0xce, 0xc8, 0xa1, 0x79, 0x3c, 0x30, 0x12, 0x44, 0x28, 0xf6, 0xbc, 0xff, 0xfd, 0xf4, 0xc0, 0x97, 0xb0, 0xcc, 0xc3, 0x13, 0x7a, 0xb9, 0x9a, 0x16, 0xe4, 0xcb, 0x4c, 0x34, 0x63}}}, -{{{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}}, +{{{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}}}, {{{0x07, 0x4e, 0xd3, 0x2d, 0x09, 0x33, 0x0e, 0xd2, 0x0d, 0xbe, 0x3e, 0xe7, 0xe4, 0xaa, 0xb7, 0x00, 0x8b, 0xe8, 0xad, 0xaa, 0x7a, 0x8d, 0x34, 0x28, 0xa9, 0x81, 0x94, 0xc5, 0xe7, 0x42, 0xac, 0x47}} , {{0x24, 0x89, 0x7a, 0x8f, 0xb5, 0x9b, 0xf0, 0xc2, 0x03, 0x64, 0xd0, 0x1e, 0xf5, 0xa4, 0xb2, 0xf3, 0x74, 0xe9, 0x1a, 0x16, 0xfd, 0xcb, 0x15, 0xea, 0xeb, 0x10, 0x6c, 0x35, 0xd1, 0xc1, 0xa6, 0x28}}}, @@ -1276,7 +1137,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x19, 0xa6, 0x5a, 0x65, 0x93, 0xc3, 0xb5, 0x31, 0x22, 0x4f, 0xf3, 0xf6, 0x0f, 0xeb, 0x28, 0xc3, 0x7c, 0xeb, 0xce, 0x86, 0xec, 0x67, 0x76, 0x6e, 0x35, 0x45, 0x7b, 0xd8, 0x6b, 0x92, 0x01, 0x65}}}, {{{0x3d, 0xd5, 0x9a, 0x64, 0x73, 0x36, 0xb1, 0xd6, 0x86, 0x98, 0x42, 0x3f, 0x8a, 0xf1, 0xc7, 0xf5, 0x42, 0xa8, 0x9c, 0x52, 0xa8, 0xdc, 0xf9, 0x24, 0x3f, 0x4a, 0xa1, 0xa4, 0x5b, 0xe8, 0x62, 0x1a}} , {{0xc5, 0xbd, 0xc8, 0x14, 0xd5, 0x0d, 0xeb, 0xe1, 0xa5, 0xe6, 0x83, 0x11, 0x09, 0x00, 0x1d, 0x55, 0x83, 0x51, 0x7e, 0x75, 0x00, 0x81, 0xb9, 0xcb, 0xd8, 0xc5, 0xe5, 0xa1, 0xd9, 0x17, 0x6d, 0x1f}}}, -{{{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}}, +{{{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}}}, {{{0xea, 0xf9, 0xe4, 0xe9, 0xe1, 0x52, 0x3f, 0x51, 0x19, 0x0d, 0xdd, 0xd9, 0x9d, 0x93, 0x31, 0x87, 0x23, 0x09, 0xd5, 0x83, 0xeb, 0x92, 0x09, 0x76, 0x6e, 0xe3, 0xf8, 0xc0, 0xa2, 0x66, 0xb5, 0x36}} , {{0x3a, 0xbb, 0x39, 0xed, 0x32, 0x02, 0xe7, 0x43, 0x7a, 0x38, 0x14, 0x84, 0xe3, 0x44, 0xd2, 0x5e, 0x94, 0xdd, 0x78, 0x89, 0x55, 0x4c, 0x73, 0x9e, 0xe1, 0xe4, 0x3e, 0x43, 0xd0, 0x4a, 0xde, 0x1b}}}, @@ -1286,7 +1147,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x46, 0xda, 0x9e, 0x51, 0x3a, 0xe6, 0xd1, 0xa6, 0xbb, 0x4d, 0x7b, 0x08, 0xbe, 0x8c, 0xd5, 0xf3, 0x3f, 0xfd, 0xf7, 0x44, 0x80, 0x2d, 0x53, 0x4b, 0xd0, 0x87, 0x68, 0xc1, 0xb5, 0xd8, 0xf7, 0x07}}}, {{{0xf4, 0x10, 0x46, 0xbe, 0xb7, 0xd2, 0xd1, 0xce, 0x5e, 0x76, 0xa2, 0xd7, 0x03, 0xdc, 0xe4, 0x81, 0x5a, 0xf6, 0x3c, 0xde, 0xae, 0x7a, 0x9d, 0x21, 0x34, 0xa5, 0xf6, 0xa9, 0x73, 0xe2, 0x8d, 0x60}} , {{0xfa, 0x44, 0x71, 0xf6, 0x41, 0xd8, 0xc6, 0x58, 0x13, 0x37, 0xeb, 0x84, 0x0f, 0x96, 0xc7, 0xdc, 0xc8, 0xa9, 0x7a, 0x83, 0xb2, 0x2f, 0x31, 0xb1, 0x1a, 0xd8, 0x98, 0x3f, 0x11, 0xd0, 0x31, 0x3b}}}, -{{{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}}, +{{{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}}}, {{{0x81, 0xd5, 0x34, 0x16, 0x01, 0xa3, 0x93, 0xea, 0x52, 0x94, 0xec, 0x93, 0xb7, 0x81, 0x11, 0x2d, 0x58, 0xf9, 0xb5, 0x0a, 0xaa, 0x4f, 0xf6, 0x2e, 0x3f, 0x36, 0xbf, 0x33, 0x5a, 0xe7, 0xd1, 0x08}} , {{0x1a, 0xcf, 0x42, 0xae, 0xcc, 0xb5, 0x77, 0x39, 0xc4, 0x5b, 0x5b, 0xd0, 0x26, 0x59, 0x27, 0xd0, 0x55, 0x71, 0x12, 0x9d, 0x88, 0x3d, 0x9c, 0xea, 0x41, 0x6a, 0xf0, 0x50, 0x93, 0x93, 0xdd, 0x47}}}, @@ -1296,7 +1157,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x13, 0xa8, 0x82, 0x3e, 0xe9, 0x13, 0xad, 0xeb, 0x01, 0xca, 0xcf, 0xda, 0xcd, 0xf7, 0x6c, 0xc7, 0x7a, 0xdc, 0x1e, 0x6e, 0xc8, 0x4e, 0x55, 0x62, 0x80, 0xea, 0x78, 0x0c, 0x86, 0xb9, 0x40, 0x51}}}, {{{0x27, 0xae, 0xd3, 0x0d, 0x4c, 0x8f, 0x34, 0xea, 0x7d, 0x3c, 0xe5, 0x8a, 0xcf, 0x5b, 0x92, 0xd8, 0x30, 0x16, 0xb4, 0xa3, 0x75, 0xff, 0xeb, 0x27, 0xc8, 0x5c, 0x6c, 0xc2, 0xee, 0x6c, 0x21, 0x0b}} , {{0xc3, 0xba, 0x12, 0x53, 0x2a, 0xaa, 0x77, 0xad, 0x19, 0x78, 0x55, 0x8a, 0x2e, 0x60, 0x87, 0xc2, 0x6e, 0x91, 0x38, 0x91, 0x3f, 0x7a, 0xc5, 0x24, 0x8f, 0x51, 0xc5, 0xde, 0xb0, 0x53, 0x30, 0x56}}}, -{{{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}}, +{{{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}}}, {{{0x02, 0xfe, 0x54, 0x12, 0x18, 0xca, 0x7d, 0xa5, 0x68, 0x43, 0xa3, 0x6d, 0x14, 0x2a, 0x6a, 0xa5, 0x8e, 0x32, 0xe7, 0x63, 0x4f, 0xe3, 0xc6, 0x44, 0x3e, 0xab, 0x63, 0xca, 0x17, 0x86, 0x74, 0x3f}} , {{0x1e, 0x64, 0xc1, 0x7d, 0x52, 0xdc, 0x13, 0x5a, 0xa1, 0x9c, 0x4e, 0xee, 0x99, 0x28, 0xbb, 0x4c, 0xee, 0xac, 0xa9, 0x1b, 0x89, 0xa2, 0x38, 0x39, 0x7b, 0xc4, 0x0f, 0x42, 0xe6, 0x89, 0xed, 0x0f}}}, @@ -1306,7 +1167,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xe7, 0x29, 0xf9, 0x37, 0xd9, 0x46, 0x5a, 0xcd, 0x70, 0xfe, 0x4d, 0x5b, 0xbf, 0xa5, 0xcf, 0x91, 0xf4, 0xef, 0xee, 0x8a, 0x29, 0xd0, 0xe7, 0xc4, 0x25, 0x92, 0x8a, 0xff, 0x36, 0xfc, 0xe4, 0x49}}}, {{{0xbd, 0x00, 0xb9, 0x04, 0x7d, 0x35, 0xfc, 0xeb, 0xd0, 0x0b, 0x05, 0x32, 0x52, 0x7a, 0x89, 0x24, 0x75, 0x50, 0xe1, 0x63, 0x02, 0x82, 0x8e, 0xe7, 0x85, 0x0c, 0xf2, 0x56, 0x44, 0x37, 0x83, 0x25}} , {{0x8f, 0xa1, 0xce, 0xcb, 0x60, 0xda, 0x12, 0x02, 0x1e, 0x29, 0x39, 0x2a, 0x03, 0xb7, 0xeb, 0x77, 0x40, 0xea, 0xc9, 0x2b, 0x2c, 0xd5, 0x7d, 0x7e, 0x2c, 0xc7, 0x5a, 0xfd, 0xff, 0xc4, 0xd1, 0x62}}}, -{{{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}}, +{{{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}}}, {{{0x1d, 0x88, 0x98, 0x5b, 0x4e, 0xfc, 0x41, 0x24, 0x05, 0xe6, 0x50, 0x2b, 0xae, 0x96, 0x51, 0xd9, 0x6b, 0x72, 0xb2, 0x33, 0x42, 0x98, 0x68, 0xbb, 0x10, 0x5a, 0x7a, 0x8c, 0x9d, 0x07, 0xb4, 0x05}} , {{0x2f, 0x61, 0x9f, 0xd7, 0xa8, 0x3f, 0x83, 0x8c, 0x10, 0x69, 0x90, 0xe6, 0xcf, 0xd2, 0x63, 0xa3, 0xe4, 0x54, 0x7e, 0xe5, 0x69, 0x13, 0x1c, 0x90, 0x57, 0xaa, 0xe9, 0x53, 0x22, 0x43, 0x29, 0x23}}}, @@ -1316,7 +1177,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xf5, 0xff, 0xcc, 0xf0, 0xb4, 0x12, 0x03, 0x5f, 0xc9, 0x84, 0xcb, 0x1d, 0x17, 0xe0, 0xbc, 0xcc, 0x03, 0x62, 0xa9, 0x8b, 0x94, 0xa6, 0xaa, 0x18, 0xcb, 0x27, 0x8d, 0x49, 0xa6, 0x17, 0x15, 0x07}}}, {{{0xd9, 0xb6, 0xd4, 0x9d, 0xd4, 0x6a, 0xaf, 0x70, 0x07, 0x2c, 0x10, 0x9e, 0xbd, 0x11, 0xad, 0xe4, 0x26, 0x33, 0x70, 0x92, 0x78, 0x1c, 0x74, 0x9f, 0x75, 0x60, 0x56, 0xf4, 0x39, 0xa8, 0xa8, 0x62}} , {{0x3b, 0xbf, 0x55, 0x35, 0x61, 0x8b, 0x44, 0x97, 0xe8, 0x3a, 0x55, 0xc1, 0xc8, 0x3b, 0xfd, 0x95, 0x29, 0x11, 0x60, 0x96, 0x1e, 0xcb, 0x11, 0x9d, 0xc2, 0x03, 0x8a, 0x1b, 0xc6, 0xd6, 0x45, 0x3d}}}, -{{{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}}, +{{{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}}}, {{{0x7e, 0x0e, 0x50, 0xb2, 0xcc, 0x0d, 0x6b, 0xa6, 0x71, 0x5b, 0x42, 0xed, 0xbd, 0xaf, 0xac, 0xf0, 0xfc, 0x12, 0xa2, 0x3f, 0x4e, 0xda, 0xe8, 0x11, 0xf3, 0x23, 0xe1, 0x04, 0x62, 0x03, 0x1c, 0x4e}} , {{0xc8, 0xb1, 0x1b, 0x6f, 0x73, 0x61, 0x3d, 0x27, 0x0d, 0x7d, 0x7a, 0x25, 0x5f, 0x73, 0x0e, 0x2f, 0x93, 0xf6, 0x24, 0xd8, 0x4f, 0x90, 0xac, 0xa2, 0x62, 0x0a, 0xf0, 0x61, 0xd9, 0x08, 0x59, 0x6a}}}, @@ -1326,7 +1187,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x8d, 0xa6, 0xd5, 0xac, 0x9d, 0xcc, 0x68, 0x75, 0x7f, 0xc3, 0x4d, 0x4b, 0xdd, 0x6c, 0xbb, 0x11, 0x5a, 0x60, 0xe5, 0xbd, 0x7d, 0x27, 0x8b, 0xda, 0xb4, 0x95, 0xf6, 0x03, 0x27, 0xa4, 0x92, 0x3f}}}, {{{0x22, 0xd6, 0xb5, 0x17, 0x84, 0xbf, 0x12, 0xcc, 0x23, 0x14, 0x4a, 0xdf, 0x14, 0x31, 0xbc, 0xa1, 0xac, 0x6e, 0xab, 0xfa, 0x57, 0x11, 0x53, 0xb3, 0x27, 0xe6, 0xf9, 0x47, 0x33, 0x44, 0x34, 0x1e}} , {{0x79, 0xfc, 0xa6, 0xb4, 0x0b, 0x35, 0x20, 0xc9, 0x4d, 0x22, 0x84, 0xc4, 0xa9, 0x20, 0xec, 0x89, 0x94, 0xba, 0x66, 0x56, 0x48, 0xb9, 0x87, 0x7f, 0xca, 0x1e, 0x06, 0xed, 0xa5, 0x55, 0x59, 0x29}}}, -{{{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}}, +{{{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}}}, {{{0x56, 0xe1, 0xf5, 0xf1, 0xd5, 0xab, 0xa8, 0x2b, 0xae, 0x89, 0xf3, 0xcf, 0x56, 0x9f, 0xf2, 0x4b, 0x31, 0xbc, 0x18, 0xa9, 0x06, 0x5b, 0xbe, 0xb4, 0x61, 0xf8, 0xb2, 0x06, 0x9c, 0x81, 0xab, 0x4c}} , {{0x1f, 0x68, 0x76, 0x01, 0x16, 0x38, 0x2b, 0x0f, 0x77, 0x97, 0x92, 0x67, 0x4e, 0x86, 0x6a, 0x8b, 0xe5, 0xe8, 0x0c, 0xf7, 0x36, 0x39, 0xb5, 0x33, 0xe6, 0xcf, 0x5e, 0xbd, 0x18, 0xfb, 0x10, 0x1f}}}, @@ -1336,7 +1197,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xf5, 0x1a, 0x61, 0xf7, 0x37, 0x9d, 0x00, 0xf4, 0xf2, 0x69, 0x6f, 0x4b, 0x01, 0x85, 0x19, 0x45, 0x4d, 0x7f, 0x02, 0x7c, 0x6a, 0x05, 0x47, 0x6c, 0x1f, 0x81, 0x20, 0xd4, 0xe8, 0x50, 0x27, 0x72}}}, {{{0x2c, 0x3a, 0xe5, 0xad, 0xf4, 0xdd, 0x2d, 0xf7, 0x5c, 0x44, 0xb5, 0x5b, 0x21, 0xa3, 0x89, 0x5f, 0x96, 0x45, 0xca, 0x4d, 0xa4, 0x21, 0x99, 0x70, 0xda, 0xc4, 0xc4, 0xa0, 0xe5, 0xf4, 0xec, 0x0a}} , {{0x07, 0x68, 0x21, 0x65, 0xe9, 0x08, 0xa0, 0x0b, 0x6a, 0x4a, 0xba, 0xb5, 0x80, 0xaf, 0xd0, 0x1b, 0xc5, 0xf5, 0x4b, 0x73, 0x50, 0x60, 0x2d, 0x71, 0x69, 0x61, 0x0e, 0xc0, 0x20, 0x40, 0x30, 0x19}}}, -{{{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}}, +{{{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}}}, {{{0xd0, 0x75, 0x57, 0x3b, 0xeb, 0x5c, 0x14, 0x56, 0x50, 0xc9, 0x4f, 0xb8, 0xb8, 0x1e, 0xa3, 0xf4, 0xab, 0xf5, 0xa9, 0x20, 0x15, 0x94, 0x82, 0xda, 0x96, 0x1c, 0x9b, 0x59, 0x8c, 0xff, 0xf4, 0x51}} , {{0xc1, 0x3a, 0x86, 0xd7, 0xb0, 0x06, 0x84, 0x7f, 0x1b, 0xbd, 0xd4, 0x07, 0x78, 0x80, 0x2e, 0xb1, 0xb4, 0xee, 0x52, 0x38, 0xee, 0x9a, 0xf9, 0xf6, 0xf3, 0x41, 0x6e, 0xd4, 0x88, 0x95, 0xac, 0x35}}}, @@ -1346,7 +1207,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x34, 0xe9, 0x59, 0x93, 0x9d, 0x26, 0x80, 0x54, 0xf2, 0xcc, 0x3c, 0xc2, 0x25, 0x85, 0xe3, 0x6a, 0xc1, 0x62, 0x04, 0xa7, 0x08, 0x32, 0x6d, 0xa1, 0x39, 0x84, 0x8a, 0x3b, 0x87, 0x5f, 0x11, 0x13}}}, {{{0xda, 0x03, 0x34, 0x66, 0xc4, 0x0c, 0x73, 0x6e, 0xbc, 0x24, 0xb5, 0xf9, 0x70, 0x81, 0x52, 0xe9, 0xf4, 0x7c, 0x23, 0xdd, 0x9f, 0xb8, 0x46, 0xef, 0x1d, 0x22, 0x55, 0x7d, 0x71, 0xc4, 0x42, 0x33}} , {{0xc5, 0x37, 0x69, 0x5b, 0xa8, 0xc6, 0x9d, 0xa4, 0xfc, 0x61, 0x6e, 0x68, 0x46, 0xea, 0xd7, 0x1c, 0x67, 0xd2, 0x7d, 0xfa, 0xf1, 0xcc, 0x54, 0x8d, 0x36, 0x35, 0xc9, 0x00, 0xdf, 0x6c, 0x67, 0x50}}}, -{{{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}}, +{{{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}}}, {{{0x9a, 0x4d, 0x42, 0x29, 0x5d, 0xa4, 0x6b, 0x6f, 0xa8, 0x8a, 0x4d, 0x91, 0x7b, 0xd2, 0xdf, 0x36, 0xef, 0x01, 0x22, 0xc5, 0xcc, 0x8d, 0xeb, 0x58, 0x3d, 0xb3, 0x50, 0xfc, 0x8b, 0x97, 0x96, 0x33}} , {{0x93, 0x33, 0x07, 0xc8, 0x4a, 0xca, 0xd0, 0xb1, 0xab, 0xbd, 0xdd, 0xa7, 0x7c, 0xac, 0x3e, 0x45, 0xcb, 0xcc, 0x07, 0x91, 0xbf, 0x35, 0x9d, 0xcb, 0x7d, 0x12, 0x3c, 0x11, 0x59, 0x13, 0xcf, 0x5c}}}, @@ -1356,7 +1217,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x8b, 0xa4, 0xd6, 0x50, 0xb4, 0xaa, 0x5d, 0x64, 0x64, 0x76, 0x2e, 0xa1, 0xa6, 0xb3, 0xb8, 0x7c, 0x7a, 0x56, 0xf5, 0x5c, 0x4e, 0x84, 0x5c, 0xfb, 0xdd, 0xca, 0x48, 0x8b, 0x48, 0xb9, 0xba, 0x34}}}, {{{0xc5, 0xe3, 0xe8, 0xae, 0x17, 0x27, 0xe3, 0x64, 0x60, 0x71, 0x47, 0x29, 0x02, 0x0f, 0x92, 0x5d, 0x10, 0x93, 0xc8, 0x0e, 0xa1, 0xed, 0xba, 0xa9, 0x96, 0x1c, 0xc5, 0x76, 0x30, 0xcd, 0xf9, 0x30}} , {{0x95, 0xb0, 0xbd, 0x8c, 0xbc, 0xa7, 0x4f, 0x7e, 0xfd, 0x4e, 0x3a, 0xbf, 0x5f, 0x04, 0x79, 0x80, 0x2b, 0x5a, 0x9f, 0x4f, 0x68, 0x21, 0x19, 0x71, 0xc6, 0x20, 0x01, 0x42, 0xaa, 0xdf, 0xae, 0x2c}}}, -{{{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}}, +{{{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}}}, {{{0x90, 0x6e, 0x7e, 0x4b, 0x71, 0x93, 0xc0, 0x72, 0xed, 0xeb, 0x71, 0x24, 0x97, 0x26, 0x9c, 0xfe, 0xcb, 0x3e, 0x59, 0x19, 0xa8, 0x0f, 0x75, 0x7d, 0xbe, 0x18, 0xe6, 0x96, 0x1e, 0x95, 0x70, 0x60}} , {{0x89, 0x66, 0x3e, 0x1d, 0x4c, 0x5f, 0xfe, 0xc0, 0x04, 0x43, 0xd6, 0x44, 0x19, 0xb5, 0xad, 0xc7, 0x22, 0xdc, 0x71, 0x28, 0x64, 0xde, 0x41, 0x38, 0x27, 0x8f, 0x2c, 0x6b, 0x08, 0xb8, 0xb8, 0x7b}}}, @@ -1366,7 +1227,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x42, 0xa3, 0xf1, 0xc5, 0xb4, 0x0f, 0xd8, 0xc8, 0x8d, 0x15, 0x31, 0xbd, 0xf8, 0x07, 0x8b, 0xcd, 0x08, 0x8a, 0xfb, 0x18, 0x07, 0xfe, 0x8e, 0x52, 0x86, 0xef, 0xbe, 0xec, 0x49, 0x52, 0x99, 0x08}}}, {{{0x0f, 0xa9, 0xd5, 0x01, 0xaa, 0x48, 0x4f, 0x28, 0x66, 0x32, 0x1a, 0xba, 0x7c, 0xea, 0x11, 0x80, 0x17, 0x18, 0x9b, 0x56, 0x88, 0x25, 0x06, 0x69, 0x12, 0x2c, 0xea, 0x56, 0x69, 0x41, 0x24, 0x19}} , {{0xde, 0x21, 0xf0, 0xda, 0x8a, 0xfb, 0xb1, 0xb8, 0xcd, 0xc8, 0x6a, 0x82, 0x19, 0x73, 0xdb, 0xc7, 0xcf, 0x88, 0xeb, 0x96, 0xee, 0x6f, 0xfb, 0x06, 0xd2, 0xcd, 0x7d, 0x7b, 0x12, 0x28, 0x8e, 0x0c}}}, -{{{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}}, +{{{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}}}, {{{0x93, 0x44, 0x97, 0xce, 0x28, 0xff, 0x3a, 0x40, 0xc4, 0xf5, 0xf6, 0x9b, 0xf4, 0x6b, 0x07, 0x84, 0xfb, 0x98, 0xd8, 0xec, 0x8c, 0x03, 0x57, 0xec, 0x49, 0xed, 0x63, 0xb6, 0xaa, 0xff, 0x98, 0x28}} , {{0x3d, 0x16, 0x35, 0xf3, 0x46, 0xbc, 0xb3, 0xf4, 0xc6, 0xb6, 0x4f, 0xfa, 0xf4, 0xa0, 0x13, 0xe6, 0x57, 0x45, 0x93, 0xb9, 0xbc, 0xd6, 0x59, 0xe7, 0x77, 0x94, 0x6c, 0xab, 0x96, 0x3b, 0x4f, 0x09}}}, @@ -1376,7 +1237,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xcf, 0xe8, 0x0e, 0x6b, 0x96, 0x7d, 0xed, 0x27, 0xd1, 0x3c, 0xa9, 0xd9, 0x50, 0xa9, 0x98, 0x84, 0x5e, 0x86, 0xef, 0xd6, 0xf0, 0xf8, 0x0e, 0x89, 0x05, 0x2f, 0xd9, 0x5f, 0x15, 0x5f, 0x73, 0x79}}}, {{{0xc8, 0x5c, 0x16, 0xfe, 0xed, 0x9f, 0x26, 0x56, 0xf6, 0x4b, 0x9f, 0xa7, 0x0a, 0x85, 0xfe, 0xa5, 0x8c, 0x87, 0xdd, 0x98, 0xce, 0x4e, 0xc3, 0x58, 0x55, 0xb2, 0x7b, 0x3d, 0xd8, 0x6b, 0xb5, 0x4c}} , {{0x65, 0x38, 0xa0, 0x15, 0xfa, 0xa7, 0xb4, 0x8f, 0xeb, 0xc4, 0x86, 0x9b, 0x30, 0xa5, 0x5e, 0x4d, 0xea, 0x8a, 0x9a, 0x9f, 0x1a, 0xd8, 0x5b, 0x53, 0x14, 0x19, 0x25, 0x63, 0xb4, 0x6f, 0x1f, 0x5d}}}, -{{{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}}, +{{{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}}}, {{{0xac, 0x8f, 0xbc, 0x1e, 0x7d, 0x8b, 0x5a, 0x0b, 0x8d, 0xaf, 0x76, 0x2e, 0x71, 0xe3, 0x3b, 0x6f, 0x53, 0x2f, 0x3e, 0x90, 0x95, 0xd4, 0x35, 0x14, 0x4f, 0x8c, 0x3c, 0xce, 0x57, 0x1c, 0x76, 0x49}} , {{0xa8, 0x50, 0xe1, 0x61, 0x6b, 0x57, 0x35, 0xeb, 0x44, 0x0b, 0x0c, 0x6e, 0xf9, 0x25, 0x80, 0x74, 0xf2, 0x8f, 0x6f, 0x7a, 0x3e, 0x7f, 0x2d, 0xf3, 0x4e, 0x09, 0x65, 0x10, 0x5e, 0x03, 0x25, 0x32}}}, @@ -1386,7 +1247,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x97, 0x67, 0x9e, 0xeb, 0x6a, 0xf9, 0x6e, 0xd6, 0x73, 0xe8, 0x6b, 0x29, 0xec, 0x63, 0x82, 0x00, 0xa8, 0x99, 0x1c, 0x1d, 0x30, 0xc8, 0x90, 0x52, 0x90, 0xb6, 0x6a, 0x80, 0x4e, 0xff, 0x4b, 0x51}}}, {{{0x0f, 0x7d, 0x63, 0x8c, 0x6e, 0x5c, 0xde, 0x30, 0xdf, 0x65, 0xfa, 0x2e, 0xb0, 0xa3, 0x25, 0x05, 0x54, 0xbd, 0x25, 0xba, 0x06, 0xae, 0xdf, 0x8b, 0xd9, 0x1b, 0xea, 0x38, 0xb3, 0x05, 0x16, 0x09}} , {{0xc7, 0x8c, 0xbf, 0x64, 0x28, 0xad, 0xf8, 0xa5, 0x5a, 0x6f, 0xc9, 0xba, 0xd5, 0x7f, 0xd5, 0xd6, 0xbd, 0x66, 0x2f, 0x3d, 0xaa, 0x54, 0xf6, 0xba, 0x32, 0x22, 0x9a, 0x1e, 0x52, 0x05, 0xf4, 0x1d}}}, -{{{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}}, +{{{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}}}, {{{0xaa, 0x1f, 0xbb, 0xeb, 0xfe, 0xe4, 0x87, 0xfc, 0xb1, 0x2c, 0xb7, 0x88, 0xf4, 0xc6, 0xb9, 0xf5, 0x24, 0x46, 0xf2, 0xa5, 0x9f, 0x8f, 0x8a, 0x93, 0x70, 0x69, 0xd4, 0x56, 0xec, 0xfd, 0x06, 0x46}} , {{0x4e, 0x66, 0xcf, 0x4e, 0x34, 0xce, 0x0c, 0xd9, 0xa6, 0x50, 0xd6, 0x5e, 0x95, 0xaf, 0xe9, 0x58, 0xfa, 0xee, 0x9b, 0xb8, 0xa5, 0x0f, 0x35, 0xe0, 0x43, 0x82, 0x6d, 0x65, 0xe6, 0xd9, 0x00, 0x0f}}}, @@ -1396,7 +1257,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x99, 0xeb, 0x7c, 0x31, 0x73, 0x64, 0x67, 0x7f, 0x0c, 0x66, 0xaa, 0x8c, 0x69, 0x91, 0xe2, 0x26, 0xd3, 0x23, 0xe2, 0x76, 0x5d, 0x32, 0x52, 0xdf, 0x5d, 0xc5, 0x8f, 0xb7, 0x7c, 0x84, 0xb3, 0x70}}}, {{{0xeb, 0x01, 0xc7, 0x36, 0x97, 0x4e, 0xb6, 0xab, 0x5f, 0x0d, 0x2c, 0xba, 0x67, 0x64, 0x55, 0xde, 0xbc, 0xff, 0xa6, 0xec, 0x04, 0xd3, 0x8d, 0x39, 0x56, 0x5e, 0xee, 0xf8, 0xe4, 0x2e, 0x33, 0x62}} , {{0x65, 0xef, 0xb8, 0x9f, 0xc8, 0x4b, 0xa7, 0xfd, 0x21, 0x49, 0x9b, 0x92, 0x35, 0x82, 0xd6, 0x0a, 0x9b, 0xf2, 0x79, 0xf1, 0x47, 0x2f, 0x6a, 0x7e, 0x9f, 0xcf, 0x18, 0x02, 0x3c, 0xfb, 0x1b, 0x3e}}}, -{{{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}}, +{{{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}}}, {{{0x2f, 0x8b, 0xc8, 0x40, 0x51, 0xd1, 0xac, 0x1a, 0x0b, 0xe4, 0xa9, 0xa2, 0x42, 0x21, 0x19, 0x2f, 0x7b, 0x97, 0xbf, 0xf7, 0x57, 0x6d, 0x3f, 0x3d, 0x4f, 0x0f, 0xe2, 0xb2, 0x81, 0x00, 0x9e, 0x7b}} , {{0x8c, 0x85, 0x2b, 0xc4, 0xfc, 0xf1, 0xab, 0xe8, 0x79, 0x22, 0xc4, 0x84, 0x17, 0x3a, 0xfa, 0x86, 0xa6, 0x7d, 0xf9, 0xf3, 0x6f, 0x03, 0x57, 0x20, 0x4d, 0x79, 0xf9, 0x6e, 0x71, 0x54, 0x38, 0x09}}}, @@ -1406,7 +1267,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x57, 0x82, 0x1c, 0xab, 0xbf, 0x62, 0x70, 0xe8, 0xc4, 0xcf, 0xf0, 0x28, 0x6e, 0x16, 0x3c, 0x08, 0x78, 0x89, 0x85, 0x46, 0x0f, 0xf6, 0x7f, 0xcf, 0xcb, 0x7e, 0xb8, 0x25, 0xe9, 0x5a, 0xfa, 0x03}}}, {{{0xfb, 0x95, 0x92, 0x63, 0x50, 0xfc, 0x62, 0xf0, 0xa4, 0x5e, 0x8c, 0x18, 0xc2, 0x17, 0x24, 0xb7, 0x78, 0xc2, 0xa9, 0xe7, 0x6a, 0x32, 0xd6, 0x29, 0x85, 0xaf, 0xcb, 0x8d, 0x91, 0x13, 0xda, 0x6b}} , {{0x36, 0x0a, 0xc2, 0xb6, 0x4b, 0xa5, 0x5d, 0x07, 0x17, 0x41, 0x31, 0x5f, 0x62, 0x46, 0xf8, 0x92, 0xf9, 0x66, 0x48, 0x73, 0xa6, 0x97, 0x0d, 0x7d, 0x88, 0xee, 0x62, 0xb1, 0x03, 0xa8, 0x3f, 0x2c}}}, -{{{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}}, +{{{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}}}, {{{0x4a, 0xb1, 0x70, 0x8a, 0xa9, 0xe8, 0x63, 0x79, 0x00, 0xe2, 0x25, 0x16, 0xca, 0x4b, 0x0f, 0xa4, 0x66, 0xad, 0x19, 0x9f, 0x88, 0x67, 0x0c, 0x8b, 0xc2, 0x4a, 0x5b, 0x2b, 0x6d, 0x95, 0xaf, 0x19}} , {{0x8b, 0x9d, 0xb6, 0xcc, 0x60, 0xb4, 0x72, 0x4f, 0x17, 0x69, 0x5a, 0x4a, 0x68, 0x34, 0xab, 0xa1, 0x45, 0x32, 0x3c, 0x83, 0x87, 0x72, 0x30, 0x54, 0x77, 0x68, 0xae, 0xfb, 0xb5, 0x8b, 0x22, 0x5e}}}, @@ -1416,7 +1277,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x32, 0x65, 0x03, 0xe5, 0x89, 0xa6, 0x6e, 0xb3, 0x5b, 0x8e, 0xca, 0xeb, 0xfe, 0x22, 0x56, 0x8b, 0x5d, 0x14, 0x4b, 0x4d, 0xf9, 0xbe, 0xb5, 0xf5, 0xe6, 0x5c, 0x7b, 0x8b, 0xf4, 0x13, 0x11, 0x34}}}, {{{0x07, 0xc6, 0x22, 0x15, 0xe2, 0x9c, 0x60, 0xa2, 0x19, 0xd9, 0x27, 0xae, 0x37, 0x4e, 0xa6, 0xc9, 0x80, 0xa6, 0x91, 0x8f, 0x12, 0x49, 0xe5, 0x00, 0x18, 0x47, 0xd1, 0xd7, 0x28, 0x22, 0x63, 0x39}} , {{0xe8, 0xe2, 0x00, 0x7e, 0xf2, 0x9e, 0x1e, 0x99, 0x39, 0x95, 0x04, 0xbd, 0x1e, 0x67, 0x7b, 0xb2, 0x26, 0xac, 0xe6, 0xaa, 0xe2, 0x46, 0xd5, 0xe4, 0xe8, 0x86, 0xbd, 0xab, 0x7c, 0x55, 0x59, 0x6f}}}, -{{{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}}, +{{{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}}}, {{{0x24, 0x64, 0x6e, 0x9b, 0x35, 0x71, 0x78, 0xce, 0x33, 0x03, 0x21, 0x33, 0x36, 0xf1, 0x73, 0x9b, 0xb9, 0x15, 0x8b, 0x2c, 0x69, 0xcf, 0x4d, 0xed, 0x4f, 0x4d, 0x57, 0x14, 0x13, 0x82, 0xa4, 0x4d}} , {{0x65, 0x6e, 0x0a, 0xa4, 0x59, 0x07, 0x17, 0xf2, 0x6b, 0x4a, 0x1f, 0x6e, 0xf6, 0xb5, 0xbc, 0x62, 0xe4, 0xb6, 0xda, 0xa2, 0x93, 0xbc, 0x29, 0x05, 0xd2, 0xd2, 0x73, 0x46, 0x03, 0x16, 0x40, 0x31}}}, @@ -1426,7 +1287,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x86, 0x17, 0x90, 0xe7, 0xc9, 0x1f, 0x10, 0xa5, 0x6a, 0x2d, 0x39, 0xd0, 0x3b, 0xc4, 0xa6, 0xe9, 0x59, 0x13, 0xda, 0x1a, 0xe6, 0xa0, 0xb9, 0x3c, 0x50, 0xb8, 0x40, 0x7c, 0x15, 0x36, 0x5a, 0x42}}}, {{{0xb4, 0x0b, 0x32, 0xab, 0xdc, 0x04, 0x51, 0x55, 0x21, 0x1e, 0x0b, 0x75, 0x99, 0x89, 0x73, 0x35, 0x3a, 0x91, 0x2b, 0xfe, 0xe7, 0x49, 0xea, 0x76, 0xc1, 0xf9, 0x46, 0xb9, 0x53, 0x02, 0x23, 0x04}} , {{0xfc, 0x5a, 0x1e, 0x1d, 0x74, 0x58, 0x95, 0xa6, 0x8f, 0x7b, 0x97, 0x3e, 0x17, 0x3b, 0x79, 0x2d, 0xa6, 0x57, 0xef, 0x45, 0x02, 0x0b, 0x4d, 0x6e, 0x9e, 0x93, 0x8d, 0x2f, 0xd9, 0x9d, 0xdb, 0x04}}}, -{{{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}}, +{{{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}}}, {{{0xc0, 0xd7, 0x56, 0x97, 0x58, 0x91, 0xde, 0x09, 0x4f, 0x9f, 0xbe, 0x63, 0xb0, 0x83, 0x86, 0x43, 0x5d, 0xbc, 0xe0, 0xf3, 0xc0, 0x75, 0xbf, 0x8b, 0x8e, 0xaa, 0xf7, 0x8b, 0x64, 0x6e, 0xb0, 0x63}} , {{0x16, 0xae, 0x8b, 0xe0, 0x9b, 0x24, 0x68, 0x5c, 0x44, 0xc2, 0xd0, 0x08, 0xb7, 0x7b, 0x62, 0xfd, 0x7f, 0xd8, 0xd4, 0xb7, 0x50, 0xfd, 0x2c, 0x1b, 0xbf, 0x41, 0x95, 0xd9, 0x8e, 0xd8, 0x17, 0x1b}}}, @@ -1436,7 +1297,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x02, 0xfb, 0x54, 0xb8, 0x05, 0xf3, 0x81, 0x52, 0x69, 0x34, 0x46, 0x9d, 0x86, 0x76, 0x8f, 0xd7, 0xf8, 0x6a, 0x66, 0xff, 0xe6, 0xa7, 0x90, 0xf7, 0x5e, 0xcd, 0x6a, 0x9b, 0x55, 0xfc, 0x9d, 0x48}}}, {{{0xbd, 0xaa, 0x13, 0xe6, 0xcd, 0x45, 0x4a, 0xa4, 0x59, 0x0a, 0x64, 0xb1, 0x98, 0xd6, 0x34, 0x13, 0x04, 0xe6, 0x97, 0x94, 0x06, 0xcb, 0xd4, 0x4e, 0xbb, 0x96, 0xcd, 0xd1, 0x57, 0xd1, 0xe3, 0x06}} , {{0x7a, 0x6c, 0x45, 0x27, 0xc4, 0x93, 0x7f, 0x7d, 0x7c, 0x62, 0x50, 0x38, 0x3a, 0x6b, 0xb5, 0x88, 0xc6, 0xd9, 0xf1, 0x78, 0x19, 0xb9, 0x39, 0x93, 0x3d, 0xc9, 0xe0, 0x9c, 0x3c, 0xce, 0xf5, 0x72}}}, -{{{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}}, +{{{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}}}, {{{0x24, 0xea, 0x23, 0x7d, 0x56, 0x2c, 0xe2, 0x59, 0x0e, 0x85, 0x60, 0x04, 0x88, 0x5a, 0x74, 0x1e, 0x4b, 0xef, 0x13, 0xda, 0x4c, 0xff, 0x83, 0x45, 0x85, 0x3f, 0x08, 0x95, 0x2c, 0x20, 0x13, 0x1f}} , {{0x48, 0x5f, 0x27, 0x90, 0x5c, 0x02, 0x42, 0xad, 0x78, 0x47, 0x5c, 0xb5, 0x7e, 0x08, 0x85, 0x00, 0xfa, 0x7f, 0xfd, 0xfd, 0xe7, 0x09, 0x11, 0xf2, 0x7e, 0x1b, 0x38, 0x6c, 0x35, 0x6d, 0x33, 0x66}}}, @@ -1446,7 +1307,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x4e, 0x3b, 0x69, 0xc8, 0x43, 0x75, 0x51, 0x6c, 0x79, 0x56, 0xe4, 0xcb, 0xf7, 0xa6, 0x51, 0xc2, 0x2c, 0x42, 0x0b, 0xd4, 0x82, 0x20, 0x1c, 0x01, 0x08, 0x66, 0xd7, 0xbf, 0x04, 0x56, 0xfc, 0x02}}}, {{{0x24, 0xe8, 0xb7, 0x60, 0xae, 0x47, 0x80, 0xfc, 0xe5, 0x23, 0xe7, 0xc2, 0xc9, 0x85, 0xe6, 0x98, 0xa0, 0x29, 0x4e, 0xe1, 0x84, 0x39, 0x2d, 0x95, 0x2c, 0xf3, 0x45, 0x3c, 0xff, 0xaf, 0x27, 0x4c}} , {{0x6b, 0xa6, 0xf5, 0x4b, 0x11, 0xbd, 0xba, 0x5b, 0x9e, 0xc4, 0xa4, 0x51, 0x1e, 0xbe, 0xd0, 0x90, 0x3a, 0x9c, 0xc2, 0x26, 0xb6, 0x1e, 0xf1, 0x95, 0x7d, 0xc8, 0x6d, 0x52, 0xe6, 0x99, 0x2c, 0x5f}}}, -{{{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}}, +{{{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}}}, {{{0x85, 0xe0, 0x24, 0x32, 0xb4, 0xd1, 0xef, 0xfc, 0x69, 0xa2, 0xbf, 0x8f, 0x72, 0x2c, 0x95, 0xf6, 0xe4, 0x6e, 0x7d, 0x90, 0xf7, 0x57, 0x81, 0xa0, 0xf7, 0xda, 0xef, 0x33, 0x07, 0xe3, 0x6b, 0x78}} , {{0x36, 0x27, 0x3e, 0xc6, 0x12, 0x07, 0xab, 0x4e, 0xbe, 0x69, 0x9d, 0xb3, 0xbe, 0x08, 0x7c, 0x2a, 0x47, 0x08, 0xfd, 0xd4, 0xcd, 0x0e, 0x27, 0x34, 0x5b, 0x98, 0x34, 0x2f, 0x77, 0x5f, 0x3a, 0x65}}}, @@ -1456,7 +1317,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x77, 0x5b, 0xe2, 0x37, 0xc7, 0xe1, 0x7c, 0x13, 0x8c, 0x9f, 0x7b, 0x7b, 0x2a, 0xce, 0x42, 0xa3, 0xb9, 0x2a, 0x99, 0xa8, 0xc0, 0xd8, 0x3c, 0x86, 0xb0, 0xfb, 0xe9, 0x76, 0x77, 0xf7, 0xf5, 0x56}}}, {{{0xdf, 0xb3, 0x46, 0x11, 0x6e, 0x13, 0xb7, 0x28, 0x4e, 0x56, 0xdd, 0xf1, 0xac, 0xad, 0x58, 0xc3, 0xf8, 0x88, 0x94, 0x5e, 0x06, 0x98, 0xa1, 0xe4, 0x6a, 0xfb, 0x0a, 0x49, 0x5d, 0x8a, 0xfe, 0x77}} , {{0x46, 0x02, 0xf5, 0xa5, 0xaf, 0xc5, 0x75, 0x6d, 0xba, 0x45, 0x35, 0x0a, 0xfe, 0xc9, 0xac, 0x22, 0x91, 0x8d, 0x21, 0x95, 0x33, 0x03, 0xc0, 0x8a, 0x16, 0xf3, 0x39, 0xe0, 0x01, 0x0f, 0x53, 0x3c}}}, -{{{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}}, +{{{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}}}, {{{0x34, 0x75, 0x37, 0x1f, 0x34, 0x4e, 0xa9, 0x1d, 0x68, 0x67, 0xf8, 0x49, 0x98, 0x96, 0xfc, 0x4c, 0x65, 0x97, 0xf7, 0x02, 0x4a, 0x52, 0x6c, 0x01, 0xbd, 0x48, 0xbb, 0x1b, 0xed, 0xa4, 0xe2, 0x53}} , {{0x59, 0xd5, 0x9b, 0x5a, 0xa2, 0x90, 0xd3, 0xb8, 0x37, 0x4c, 0x55, 0x82, 0x28, 0x08, 0x0f, 0x7f, 0xaa, 0x81, 0x65, 0xe0, 0x0c, 0x52, 0xc9, 0xa3, 0x32, 0x27, 0x64, 0xda, 0xfd, 0x34, 0x23, 0x5a}}}, @@ -1466,7 +1327,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x1d, 0x29, 0x7a, 0xa1, 0xec, 0x8e, 0xb5, 0xad, 0xea, 0x02, 0x68, 0x60, 0x74, 0x29, 0x1c, 0xa5, 0xcf, 0xc8, 0x3b, 0x7d, 0x8b, 0x2b, 0x7c, 0xad, 0xa4, 0x40, 0x17, 0x51, 0x59, 0x7c, 0x2e, 0x5d}}}, {{{0x0a, 0x6c, 0x4f, 0xbc, 0x3e, 0x32, 0xe7, 0x4a, 0x1a, 0x13, 0xc1, 0x49, 0x38, 0xbf, 0xf7, 0xc2, 0xd3, 0x8f, 0x6b, 0xad, 0x52, 0xf7, 0xcf, 0xbc, 0x27, 0xcb, 0x40, 0x67, 0x76, 0xcd, 0x6d, 0x56}} , {{0xe5, 0xb0, 0x27, 0xad, 0xbe, 0x9b, 0xf2, 0xb5, 0x63, 0xde, 0x3a, 0x23, 0x95, 0xb7, 0x0a, 0x7e, 0xf3, 0x9e, 0x45, 0x6f, 0x19, 0x39, 0x75, 0x8f, 0x39, 0x3d, 0x0f, 0xc0, 0x9f, 0xf1, 0xe9, 0x51}}}, -{{{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}}, +{{{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}}}, {{{0x88, 0xaa, 0x14, 0x24, 0x86, 0x94, 0x11, 0x12, 0x3e, 0x1a, 0xb5, 0xcc, 0xbb, 0xe0, 0x9c, 0xd5, 0x9c, 0x6d, 0xba, 0x58, 0x72, 0x8d, 0xfb, 0x22, 0x7b, 0x9f, 0x7c, 0x94, 0x30, 0xb3, 0x51, 0x21}} , {{0xf6, 0x74, 0x3d, 0xf2, 0xaf, 0xd0, 0x1e, 0x03, 0x7c, 0x23, 0x6b, 0xc9, 0xfc, 0x25, 0x70, 0x90, 0xdc, 0x9a, 0xa4, 0xfb, 0x49, 0xfc, 0x3d, 0x0a, 0x35, 0x38, 0x6f, 0xe4, 0x7e, 0x50, 0x01, 0x2a}}}, @@ -1476,7 +1337,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x84, 0x7c, 0xc2, 0xa6, 0x91, 0x23, 0xce, 0xbd, 0xdc, 0xf9, 0xce, 0xd5, 0x75, 0x30, 0x22, 0xe6, 0xf9, 0x43, 0x62, 0x0d, 0xf7, 0x75, 0x9d, 0x7f, 0x8c, 0xff, 0x7d, 0xe4, 0x72, 0xac, 0x9f, 0x1c}}}, {{{0x88, 0xc1, 0x99, 0xd0, 0x3c, 0x1c, 0x5d, 0xb4, 0xef, 0x13, 0x0f, 0x90, 0xb9, 0x36, 0x2f, 0x95, 0x95, 0xc6, 0xdc, 0xde, 0x0a, 0x51, 0xe2, 0x8d, 0xf3, 0xbc, 0x51, 0xec, 0xdf, 0xb1, 0xa2, 0x5f}} , {{0x2e, 0x68, 0xa1, 0x23, 0x7d, 0x9b, 0x40, 0x69, 0x85, 0x7b, 0x42, 0xbf, 0x90, 0x4b, 0xd6, 0x40, 0x2f, 0xd7, 0x52, 0x52, 0xb2, 0x21, 0xde, 0x64, 0xbd, 0x88, 0xc3, 0x6d, 0xa5, 0xfa, 0x81, 0x3f}}}, -{{{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}}, +{{{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}}}, {{{0xfb, 0xfd, 0x47, 0x7b, 0x8a, 0x66, 0x9e, 0x79, 0x2e, 0x64, 0x82, 0xef, 0xf7, 0x21, 0xec, 0xf6, 0xd8, 0x86, 0x09, 0x31, 0x7c, 0xdd, 0x03, 0x6a, 0x58, 0xa0, 0x77, 0xb7, 0x9b, 0x8c, 0x87, 0x1f}} , {{0x55, 0x47, 0xe4, 0xa8, 0x3d, 0x55, 0x21, 0x34, 0xab, 0x1d, 0xae, 0xe0, 0xf4, 0xea, 0xdb, 0xc5, 0xb9, 0x58, 0xbf, 0xc4, 0x2a, 0x89, 0x31, 0x1a, 0xf4, 0x2d, 0xe1, 0xca, 0x37, 0x99, 0x47, 0x59}}}, @@ -1486,7 +1347,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x29, 0xac, 0xff, 0x27, 0xe0, 0x59, 0xbe, 0x39, 0x9c, 0x0d, 0x83, 0xd7, 0x10, 0x0b, 0x15, 0xb7, 0xe1, 0xc2, 0x2c, 0x30, 0x73, 0x80, 0x3a, 0x7d, 0x5d, 0xab, 0x58, 0x6b, 0xc1, 0xf0, 0xf4, 0x22}}}, {{{0xfe, 0x7f, 0xfb, 0x35, 0x7d, 0xc6, 0x01, 0x23, 0x28, 0xc4, 0x02, 0xac, 0x1f, 0x42, 0xb4, 0x9d, 0xfc, 0x00, 0x94, 0xa5, 0xee, 0xca, 0xda, 0x97, 0x09, 0x41, 0x77, 0x87, 0x5d, 0x7b, 0x87, 0x78}} , {{0xf5, 0xfb, 0x90, 0x2d, 0x81, 0x19, 0x9e, 0x2f, 0x6d, 0x85, 0x88, 0x8c, 0x40, 0x5c, 0x77, 0x41, 0x4d, 0x01, 0x19, 0x76, 0x60, 0xe8, 0x4c, 0x48, 0xe4, 0x33, 0x83, 0x32, 0x6c, 0xb4, 0x41, 0x03}}}, -{{{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}}, +{{{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}}}, {{{0xff, 0x10, 0xc2, 0x09, 0x4f, 0x6e, 0xf4, 0xd2, 0xdf, 0x7e, 0xca, 0x7b, 0x1c, 0x1d, 0xba, 0xa3, 0xb6, 0xda, 0x67, 0x33, 0xd4, 0x87, 0x36, 0x4b, 0x11, 0x20, 0x05, 0xa6, 0x29, 0xc1, 0x87, 0x17}} , {{0xf6, 0x96, 0xca, 0x2f, 0xda, 0x38, 0xa7, 0x1b, 0xfc, 0xca, 0x7d, 0xfe, 0x08, 0x89, 0xe2, 0x47, 0x2b, 0x6a, 0x5d, 0x4b, 0xfa, 0xa1, 0xb4, 0xde, 0xb6, 0xc2, 0x31, 0x51, 0xf5, 0xe0, 0xa4, 0x0b}}}, @@ -1496,7 +1357,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x0c, 0x0e, 0xf3, 0xba, 0xf0, 0xe5, 0xba, 0xb2, 0x57, 0x77, 0xc6, 0x20, 0x9b, 0x89, 0x24, 0xbe, 0xf2, 0x9c, 0x8a, 0xba, 0x69, 0xc1, 0xf1, 0xb0, 0x4f, 0x2a, 0x05, 0x9a, 0xee, 0x10, 0x7e, 0x36}}}, {{{0x3f, 0x26, 0xe9, 0x40, 0xe9, 0x03, 0xad, 0x06, 0x69, 0x91, 0xe0, 0xd1, 0x89, 0x60, 0x84, 0x79, 0xde, 0x27, 0x6d, 0xe6, 0x76, 0xbd, 0xea, 0xe6, 0xae, 0x48, 0xc3, 0x67, 0xc0, 0x57, 0xcd, 0x2f}} , {{0x7f, 0xc1, 0xdc, 0xb9, 0xc7, 0xbc, 0x86, 0x3d, 0x55, 0x4b, 0x28, 0x7a, 0xfb, 0x4d, 0xc7, 0xf8, 0xbc, 0x67, 0x2a, 0x60, 0x4d, 0x8f, 0x07, 0x0b, 0x1a, 0x17, 0xbf, 0xfa, 0xac, 0xa7, 0x3d, 0x1a}}}, -{{{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}}, +{{{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}}}, {{{0x91, 0x3f, 0xed, 0x5e, 0x18, 0x78, 0x3f, 0x23, 0x2c, 0x0d, 0x8c, 0x44, 0x00, 0xe8, 0xfb, 0xe9, 0x8e, 0xd6, 0xd1, 0x36, 0x58, 0x57, 0x9e, 0xae, 0x4b, 0x5c, 0x0b, 0x07, 0xbc, 0x6b, 0x55, 0x2b}} , {{0x6f, 0x4d, 0x17, 0xd7, 0xe1, 0x84, 0xd9, 0x78, 0xb1, 0x90, 0xfd, 0x2e, 0xb3, 0xb5, 0x19, 0x3f, 0x1b, 0xfa, 0xc0, 0x68, 0xb3, 0xdd, 0x00, 0x2e, 0x89, 0xbd, 0x7e, 0x80, 0x32, 0x13, 0xa0, 0x7b}}}, @@ -1506,7 +1367,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x01, 0xb8, 0xd6, 0x16, 0x67, 0xa0, 0x15, 0xb9, 0xe1, 0x58, 0xa4, 0xa7, 0x31, 0x37, 0x77, 0x2f, 0x8b, 0x12, 0x9f, 0xf4, 0x3f, 0xc7, 0x36, 0x66, 0xd2, 0xa8, 0x56, 0xf7, 0x7f, 0x74, 0xc6, 0x41}}}, {{{0x5d, 0xf8, 0xb4, 0xa8, 0x30, 0xdd, 0xcc, 0x38, 0xa5, 0xd3, 0xca, 0xd8, 0xd1, 0xf8, 0xb2, 0x31, 0x91, 0xd4, 0x72, 0x05, 0x57, 0x4a, 0x3b, 0x82, 0x4a, 0xc6, 0x68, 0x20, 0xe2, 0x18, 0x41, 0x61}} , {{0x19, 0xd4, 0x8d, 0x47, 0x29, 0x12, 0x65, 0xb0, 0x11, 0x78, 0x47, 0xb5, 0xcb, 0xa3, 0xa5, 0xfa, 0x05, 0x85, 0x54, 0xa9, 0x33, 0x97, 0x8d, 0x2b, 0xc2, 0xfe, 0x99, 0x35, 0x28, 0xe5, 0xeb, 0x63}}}, -{{{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}}, +{{{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}}}, {{{0xb1, 0x3f, 0x3f, 0xef, 0xd8, 0xf4, 0xfc, 0xb3, 0xa0, 0x60, 0x50, 0x06, 0x2b, 0x29, 0x52, 0x70, 0x15, 0x0b, 0x24, 0x24, 0xf8, 0x5f, 0x79, 0x18, 0xcc, 0xff, 0x89, 0x99, 0x84, 0xa1, 0xae, 0x13}} , {{0x44, 0x1f, 0xb8, 0xc2, 0x01, 0xc1, 0x30, 0x19, 0x55, 0x05, 0x60, 0x10, 0xa4, 0x6c, 0x2d, 0x67, 0x70, 0xe5, 0x25, 0x1b, 0xf2, 0xbf, 0xdd, 0xfb, 0x70, 0x2b, 0xa1, 0x8c, 0x9c, 0x94, 0x84, 0x08}}}, @@ -1516,7 +1377,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xdc, 0xff, 0x15, 0x61, 0x2f, 0x4a, 0x2f, 0x62, 0xf2, 0x04, 0x2f, 0xb5, 0x0c, 0xb7, 0x1e, 0x3f, 0x74, 0x1a, 0x0f, 0xd7, 0xea, 0xcd, 0xd9, 0x7d, 0xf6, 0x12, 0x0e, 0x2f, 0xdb, 0x5a, 0x3b, 0x16}}}, {{{0x1b, 0x37, 0x47, 0xe3, 0xf5, 0x9e, 0xea, 0x2c, 0x2a, 0xe7, 0x82, 0x36, 0xf4, 0x1f, 0x81, 0x47, 0x92, 0x4b, 0x69, 0x0e, 0x11, 0x8c, 0x5d, 0x53, 0x5b, 0x81, 0x27, 0x08, 0xbc, 0xa0, 0xae, 0x25}} , {{0x69, 0x32, 0xa1, 0x05, 0x11, 0x42, 0x00, 0xd2, 0x59, 0xac, 0x4d, 0x62, 0x8b, 0x13, 0xe2, 0x50, 0x5d, 0xa0, 0x9d, 0x9b, 0xfd, 0xbb, 0x12, 0x41, 0x75, 0x41, 0x9e, 0xcc, 0xdc, 0xc7, 0xdc, 0x5d}}}, -{{{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}}, +{{{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}}}, {{{0xd9, 0xe3, 0x38, 0x06, 0x46, 0x70, 0x82, 0x5e, 0x28, 0x49, 0x79, 0xff, 0x25, 0xd2, 0x4e, 0x29, 0x8d, 0x06, 0xb0, 0x23, 0xae, 0x9b, 0x66, 0xe4, 0x7d, 0xc0, 0x70, 0x91, 0xa3, 0xfc, 0xec, 0x4e}} , {{0x62, 0x12, 0x37, 0x6a, 0x30, 0xf6, 0x1e, 0xfb, 0x14, 0x5c, 0x0d, 0x0e, 0xb7, 0x81, 0x6a, 0xe7, 0x08, 0x05, 0xac, 0xaa, 0x38, 0x46, 0xe2, 0x73, 0xea, 0x4b, 0x07, 0x81, 0x43, 0x7c, 0x9e, 0x5e}}}, @@ -1526,7 +1387,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xe5, 0x44, 0xec, 0x06, 0x9d, 0x90, 0x79, 0x9f, 0xd3, 0xe0, 0x79, 0xaf, 0x8f, 0x10, 0xfd, 0xdd, 0x04, 0xae, 0x27, 0x97, 0x46, 0x33, 0x79, 0xea, 0xb8, 0x4e, 0xca, 0x5a, 0x59, 0x57, 0xe1, 0x0e}}}, {{{0x1a, 0xda, 0xf3, 0xa5, 0x41, 0x43, 0x28, 0xfc, 0x7e, 0xe7, 0x71, 0xea, 0xc6, 0x3b, 0x59, 0xcc, 0x2e, 0xd3, 0x40, 0xec, 0xb3, 0x13, 0x6f, 0x44, 0xcd, 0x13, 0xb2, 0x37, 0xf2, 0x6e, 0xd9, 0x1c}} , {{0xe3, 0xdb, 0x60, 0xcd, 0x5c, 0x4a, 0x18, 0x0f, 0xef, 0x73, 0x36, 0x71, 0x8c, 0xf6, 0x11, 0xb4, 0xd8, 0xce, 0x17, 0x5e, 0x4f, 0x26, 0x77, 0x97, 0x5f, 0xcb, 0xef, 0x91, 0xeb, 0x6a, 0x62, 0x7a}}}, -{{{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}}, +{{{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}}}, {{{0x18, 0x4a, 0xa2, 0x97, 0x08, 0x81, 0x2d, 0x83, 0xc4, 0xcc, 0xf0, 0x83, 0x7e, 0xec, 0x0d, 0x95, 0x4c, 0x5b, 0xfb, 0xfa, 0x98, 0x80, 0x4a, 0x66, 0x56, 0x0c, 0x51, 0xb3, 0xf2, 0x04, 0x5d, 0x27}} , {{0x3b, 0xb9, 0xb8, 0x06, 0x5a, 0x2e, 0xfe, 0xc3, 0x82, 0x37, 0x9c, 0xa3, 0x11, 0x1f, 0x9c, 0xa6, 0xda, 0x63, 0x48, 0x9b, 0xad, 0xde, 0x2d, 0xa6, 0xbc, 0x6e, 0x32, 0xda, 0x27, 0x65, 0xdd, 0x57}}}, @@ -1536,7 +1397,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xa4, 0x4b, 0x62, 0x4c, 0xe6, 0xfd, 0x72, 0x07, 0xf2, 0x81, 0xfc, 0xf2, 0xbd, 0x12, 0x7c, 0x68, 0x76, 0x2a, 0xba, 0xf5, 0x65, 0xb1, 0x1f, 0x17, 0x0a, 0x38, 0xb0, 0xbf, 0xc0, 0xf8, 0xf4, 0x2a}}}, {{{0x55, 0x60, 0x55, 0x5b, 0xe4, 0x1d, 0x71, 0x4c, 0x9d, 0x5b, 0x9f, 0x70, 0xa6, 0x85, 0x9a, 0x2c, 0xa0, 0xe2, 0x32, 0x48, 0xce, 0x9e, 0x2a, 0xa5, 0x07, 0x3b, 0xc7, 0x6c, 0x86, 0x77, 0xde, 0x3c}} , {{0xf7, 0x18, 0x7a, 0x96, 0x7e, 0x43, 0x57, 0xa9, 0x55, 0xfc, 0x4e, 0xb6, 0x72, 0x00, 0xf2, 0xe4, 0xd7, 0x52, 0xd3, 0xd3, 0xb6, 0x85, 0xf6, 0x71, 0xc7, 0x44, 0x3f, 0x7f, 0xd7, 0xb3, 0xf2, 0x79}}}, -{{{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}}, +{{{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}}}, {{{0x46, 0xca, 0xa7, 0x55, 0x7b, 0x79, 0xf3, 0xca, 0x5a, 0x65, 0xf6, 0xed, 0x50, 0x14, 0x7b, 0xe4, 0xc4, 0x2a, 0x65, 0x9e, 0xe2, 0xf9, 0xca, 0xa7, 0x22, 0x26, 0x53, 0xcb, 0x21, 0x5b, 0xa7, 0x31}} , {{0x90, 0xd7, 0xc5, 0x26, 0x08, 0xbd, 0xb0, 0x53, 0x63, 0x58, 0xc3, 0x31, 0x5e, 0x75, 0x46, 0x15, 0x91, 0xa6, 0xf8, 0x2f, 0x1a, 0x08, 0x65, 0x88, 0x2f, 0x98, 0x04, 0xf1, 0x7c, 0x6e, 0x00, 0x77}}}, @@ -1546,7 +1407,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x68, 0x0e, 0x6f, 0x97, 0xba, 0x70, 0xbb, 0xa3, 0x0e, 0xe5, 0x0b, 0x12, 0xf4, 0xa2, 0xdc, 0x47, 0xf8, 0xe6, 0xd0, 0x23, 0x6c, 0x33, 0xa8, 0x99, 0x46, 0x6e, 0x0f, 0x44, 0xba, 0x76, 0x48, 0x0f}}}, {{{0xa3, 0x2a, 0x61, 0x37, 0xe2, 0x59, 0x12, 0x0e, 0x27, 0xba, 0x64, 0x43, 0xae, 0xc0, 0x42, 0x69, 0x79, 0xa4, 0x1e, 0x29, 0x8b, 0x15, 0xeb, 0xf8, 0xaf, 0xd4, 0xa2, 0x68, 0x33, 0xb5, 0x7a, 0x24}} , {{0x2c, 0x19, 0x33, 0xdd, 0x1b, 0xab, 0xec, 0x01, 0xb0, 0x23, 0xf8, 0x42, 0x2b, 0x06, 0x88, 0xea, 0x3d, 0x2d, 0x00, 0x2a, 0x78, 0x45, 0x4d, 0x38, 0xed, 0x2e, 0x2e, 0x44, 0x49, 0xed, 0xcb, 0x33}}}, -{{{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}}, +{{{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}}}, {{{0xa0, 0x68, 0xe8, 0x41, 0x8f, 0x91, 0xf8, 0x11, 0x13, 0x90, 0x2e, 0xa7, 0xab, 0x30, 0xef, 0xad, 0xa0, 0x61, 0x00, 0x88, 0xef, 0xdb, 0xce, 0x5b, 0x5c, 0xbb, 0x62, 0xc8, 0x56, 0xf9, 0x00, 0x73}} , {{0x3f, 0x60, 0xc1, 0x82, 0x2d, 0xa3, 0x28, 0x58, 0x24, 0x9e, 0x9f, 0xe3, 0x70, 0xcc, 0x09, 0x4e, 0x1a, 0x3f, 0x11, 0x11, 0x15, 0x07, 0x3c, 0xa4, 0x41, 0xe0, 0x65, 0xa3, 0x0a, 0x41, 0x6d, 0x11}}}, @@ -1556,7 +1417,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x32, 0xb4, 0x18, 0x47, 0x79, 0xcb, 0xd4, 0x5a, 0x07, 0x14, 0x0f, 0xa0, 0xd5, 0xac, 0xd0, 0x41, 0x40, 0xab, 0x61, 0x23, 0xe5, 0x2a, 0x2a, 0x6f, 0xf7, 0xa8, 0xd4, 0x76, 0xef, 0xe7, 0x45, 0x6c}}}, {{{0xa1, 0x5e, 0x60, 0x4f, 0xfb, 0xe1, 0x70, 0x6a, 0x1f, 0x55, 0x4f, 0x09, 0xb4, 0x95, 0x33, 0x36, 0xc6, 0x81, 0x01, 0x18, 0x06, 0x25, 0x27, 0xa4, 0xb4, 0x24, 0xa4, 0x86, 0x03, 0x4c, 0xac, 0x02}} , {{0x77, 0x38, 0xde, 0xd7, 0x60, 0x48, 0x07, 0xf0, 0x74, 0xa8, 0xff, 0x54, 0xe5, 0x30, 0x43, 0xff, 0x77, 0xfb, 0x21, 0x07, 0xff, 0xb2, 0x07, 0x6b, 0xe4, 0xe5, 0x30, 0xfc, 0x19, 0x6c, 0xa3, 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, 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, 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}}}, {{{0x13, 0xc5, 0x2c, 0xac, 0xd3, 0x83, 0x82, 0x7c, 0x29, 0xf7, 0x05, 0xa5, 0x00, 0xb6, 0x1f, 0x86, 0x55, 0xf4, 0xd6, 0x2f, 0x0c, 0x99, 0xd0, 0x65, 0x9b, 0x6b, 0x46, 0x0d, 0x43, 0xf8, 0x16, 0x28}} , {{0x1e, 0x7f, 0xb4, 0x74, 0x7e, 0xb1, 0x89, 0x4f, 0x18, 0x5a, 0xab, 0x64, 0x06, 0xdf, 0x45, 0x87, 0xe0, 0x6a, 0xc6, 0xf0, 0x0e, 0xc9, 0x24, 0x35, 0x38, 0xea, 0x30, 0x54, 0xb4, 0xc4, 0x52, 0x54}}}, @@ -1566,7 +1427,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x32, 0xad, 0xae, 0x85, 0x58, 0x43, 0xb8, 0xb1, 0xe6, 0x3e, 0x00, 0x9c, 0x78, 0x88, 0x56, 0xdb, 0x9c, 0xfc, 0x79, 0xf6, 0xf9, 0x41, 0x5f, 0xb7, 0xbc, 0x11, 0xf9, 0x20, 0x36, 0x1c, 0x53, 0x2b}}}, {{{0x5a, 0x20, 0x5b, 0xa1, 0xa5, 0x44, 0x91, 0x24, 0x02, 0x63, 0x12, 0x64, 0xb8, 0x55, 0xf6, 0xde, 0x2c, 0xdb, 0x47, 0xb8, 0xc6, 0x0a, 0xc3, 0x00, 0x78, 0x93, 0xd8, 0xf5, 0xf5, 0x18, 0x28, 0x0a}} , {{0xd6, 0x1b, 0x9a, 0x6c, 0xe5, 0x46, 0xea, 0x70, 0x96, 0x8d, 0x4e, 0x2a, 0x52, 0x21, 0x26, 0x4b, 0xb1, 0xbb, 0x0f, 0x7c, 0xa9, 0x9b, 0x04, 0xbb, 0x51, 0x08, 0xf1, 0x9a, 0xa4, 0x76, 0x7c, 0x18}}}, -{{{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}}, +{{{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}}}, {{{0xfa, 0x94, 0xf7, 0x40, 0xd0, 0xd7, 0xeb, 0xa9, 0x82, 0x36, 0xd5, 0x15, 0xb9, 0x33, 0x7a, 0xbf, 0x8a, 0xf2, 0x63, 0xaa, 0x37, 0xf5, 0x59, 0xac, 0xbd, 0xbb, 0x32, 0x36, 0xbe, 0x73, 0x99, 0x38}} , {{0x2c, 0xb3, 0xda, 0x7a, 0xd8, 0x3d, 0x99, 0xca, 0xd2, 0xf4, 0xda, 0x99, 0x8e, 0x4f, 0x98, 0xb7, 0xf4, 0xae, 0x3e, 0x9f, 0x8e, 0x35, 0x60, 0xa4, 0x33, 0x75, 0xa4, 0x04, 0x93, 0xb1, 0x6b, 0x4d}}}, @@ -1576,7 +1437,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x53, 0xcf, 0xc2, 0xa1, 0xad, 0x6a, 0xf3, 0xcd, 0x8f, 0xc9, 0xde, 0x1c, 0xf8, 0x6c, 0x8f, 0xf8, 0x76, 0x42, 0xe7, 0xfe, 0xb2, 0x72, 0x21, 0x0a, 0x66, 0x74, 0x8f, 0xb7, 0xeb, 0xe4, 0x6f, 0x01}}}, {{{0x22, 0x8c, 0x6b, 0xbe, 0xfc, 0x4d, 0x70, 0x62, 0x6e, 0x52, 0x77, 0x99, 0x88, 0x7e, 0x7b, 0x57, 0x7a, 0x0d, 0xfe, 0xdc, 0x72, 0x92, 0xf1, 0x68, 0x1d, 0x97, 0xd7, 0x7c, 0x8d, 0x53, 0x10, 0x37}} , {{0x53, 0x88, 0x77, 0x02, 0xca, 0x27, 0xa8, 0xe5, 0x45, 0xe2, 0xa8, 0x48, 0x2a, 0xab, 0x18, 0xca, 0xea, 0x2d, 0x2a, 0x54, 0x17, 0x37, 0x32, 0x09, 0xdc, 0xe0, 0x4a, 0xb7, 0x7d, 0x82, 0x10, 0x7d}}}, -{{{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}}, +{{{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}}}, {{{0x8a, 0x64, 0x1e, 0x14, 0x0a, 0x57, 0xd4, 0xda, 0x5c, 0x96, 0x9b, 0x01, 0x4c, 0x67, 0xbf, 0x8b, 0x30, 0xfe, 0x08, 0xdb, 0x0d, 0xd5, 0xa8, 0xd7, 0x09, 0x11, 0x85, 0xa2, 0xd3, 0x45, 0xfb, 0x7e}} , {{0xda, 0x8c, 0xc2, 0xd0, 0xac, 0x18, 0xe8, 0x52, 0x36, 0xd4, 0x21, 0xa3, 0xdd, 0x57, 0x22, 0x79, 0xb7, 0xf8, 0x71, 0x9d, 0xc6, 0x91, 0x70, 0x86, 0x56, 0xbf, 0xa1, 0x11, 0x8b, 0x19, 0xe1, 0x0f}}}, @@ -1586,7 +1447,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x62, 0x4f, 0xd0, 0x75, 0x77, 0xba, 0x76, 0x77, 0xd7, 0xb8, 0xd8, 0x92, 0x6f, 0x98, 0x34, 0x3d, 0xd6, 0x4e, 0x1c, 0x0f, 0xf0, 0x8f, 0x2e, 0xf1, 0xb3, 0xbd, 0xb1, 0xb9, 0xec, 0x99, 0xb4, 0x07}}}, {{{0x60, 0x57, 0x2e, 0x9a, 0x72, 0x1d, 0x6b, 0x6e, 0x58, 0x33, 0x24, 0x8c, 0x48, 0x39, 0x46, 0x8e, 0x89, 0x6a, 0x88, 0x51, 0x23, 0x62, 0xb5, 0x32, 0x09, 0x36, 0xe3, 0x57, 0xf5, 0x98, 0xde, 0x6f}} , {{0x8b, 0x2c, 0x00, 0x48, 0x4a, 0xf9, 0x5b, 0x87, 0x69, 0x52, 0xe5, 0x5b, 0xd1, 0xb1, 0xe5, 0x25, 0x25, 0xe0, 0x9c, 0xc2, 0x13, 0x44, 0xe8, 0xb9, 0x0a, 0x70, 0xad, 0xbd, 0x0f, 0x51, 0x94, 0x69}}}, -{{{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}}, +{{{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}}}, {{{0xa2, 0xdc, 0xab, 0xa9, 0x25, 0x2d, 0xac, 0x5f, 0x03, 0x33, 0x08, 0xe7, 0x7e, 0xfe, 0x95, 0x36, 0x3c, 0x5b, 0x3a, 0xd3, 0x05, 0x82, 0x1c, 0x95, 0x2d, 0xd8, 0x77, 0x7e, 0x02, 0xd9, 0x5b, 0x70}} , {{0xc2, 0xfe, 0x1b, 0x0c, 0x67, 0xcd, 0xd6, 0xe0, 0x51, 0x8e, 0x2c, 0xe0, 0x79, 0x88, 0xf0, 0xcf, 0x41, 0x4a, 0xad, 0x23, 0xd4, 0x46, 0xca, 0x94, 0xa1, 0xc3, 0xeb, 0x28, 0x06, 0xfa, 0x17, 0x14}}}, @@ -1596,7 +1457,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x64, 0xe9, 0x28, 0xc7, 0xa4, 0xcf, 0x2a, 0xf9, 0x90, 0x64, 0x72, 0x2c, 0x8b, 0xeb, 0xec, 0xa0, 0xf2, 0x7d, 0x35, 0xb5, 0x90, 0x4d, 0x7f, 0x5b, 0x4a, 0x49, 0xe4, 0xb8, 0x3b, 0xc8, 0xa1, 0x2f}}}, {{{0x8b, 0xc5, 0xcc, 0x3d, 0x69, 0xa6, 0xa1, 0x18, 0x44, 0xbc, 0x4d, 0x77, 0x37, 0xc7, 0x86, 0xec, 0x0c, 0xc9, 0xd6, 0x44, 0xa9, 0x23, 0x27, 0xb9, 0x03, 0x34, 0xa7, 0x0a, 0xd5, 0xc7, 0x34, 0x37}} , {{0xf9, 0x7e, 0x3e, 0x66, 0xee, 0xf9, 0x99, 0x28, 0xff, 0xad, 0x11, 0xd8, 0xe2, 0x66, 0xc5, 0xcd, 0x0f, 0x0d, 0x0b, 0x6a, 0xfc, 0x7c, 0x24, 0xa8, 0x4f, 0xa8, 0x5e, 0x80, 0x45, 0x8b, 0x6c, 0x41}}}, -{{{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}}, +{{{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}}}, {{{0xef, 0x1e, 0xec, 0xf7, 0x8d, 0x77, 0xf2, 0xea, 0xdb, 0x60, 0x03, 0x21, 0xc0, 0xff, 0x5e, 0x67, 0xc3, 0x71, 0x0b, 0x21, 0xb4, 0x41, 0xa0, 0x68, 0x38, 0xc6, 0x01, 0xa3, 0xd3, 0x51, 0x3c, 0x3c}} , {{0x92, 0xf8, 0xd6, 0x4b, 0xef, 0x42, 0x13, 0xb2, 0x4a, 0xc4, 0x2e, 0x72, 0x3f, 0xc9, 0x11, 0xbd, 0x74, 0x02, 0x0e, 0xf5, 0x13, 0x9d, 0x83, 0x1a, 0x1b, 0xd5, 0x54, 0xde, 0xc4, 0x1e, 0x16, 0x6c}}}, @@ -1606,7 +1467,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x7a, 0x8d, 0xa1, 0x5d, 0x70, 0x5d, 0x51, 0x27, 0xee, 0x30, 0x65, 0x56, 0x95, 0x46, 0xde, 0xbd, 0x03, 0x75, 0xb4, 0x57, 0x59, 0x89, 0xeb, 0x02, 0x9e, 0xcc, 0x89, 0x19, 0xa7, 0xcb, 0x17, 0x67}}}, {{{0x6a, 0xeb, 0xfc, 0x9a, 0x9a, 0x10, 0xce, 0xdb, 0x3a, 0x1c, 0x3c, 0x6a, 0x9d, 0xea, 0x46, 0xbc, 0x45, 0x49, 0xac, 0xe3, 0x41, 0x12, 0x7c, 0xf0, 0xf7, 0x4f, 0xf9, 0xf7, 0xff, 0x2c, 0x89, 0x04}} , {{0x30, 0x31, 0x54, 0x1a, 0x46, 0xca, 0xe6, 0xc6, 0xcb, 0xe2, 0xc3, 0xc1, 0x8b, 0x75, 0x81, 0xbe, 0xee, 0xf8, 0xa3, 0x11, 0x1c, 0x25, 0xa3, 0xa7, 0x35, 0x51, 0x55, 0xe2, 0x25, 0xaa, 0xe2, 0x3a}}}, -{{{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}}, +{{{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}}}, {{{0xb4, 0x48, 0x10, 0x9f, 0x8a, 0x09, 0x76, 0xfa, 0xf0, 0x7a, 0xb0, 0x70, 0xf7, 0x83, 0x80, 0x52, 0x84, 0x2b, 0x26, 0xa2, 0xc4, 0x5d, 0x4f, 0xba, 0xb1, 0xc8, 0x40, 0x0d, 0x78, 0x97, 0xc4, 0x60}} , {{0xd4, 0xb1, 0x6c, 0x08, 0xc7, 0x40, 0x38, 0x73, 0x5f, 0x0b, 0xf3, 0x76, 0x5d, 0xb2, 0xa5, 0x2f, 0x57, 0x57, 0x07, 0xed, 0x08, 0xa2, 0x6c, 0x4f, 0x08, 0x02, 0xb5, 0x0e, 0xee, 0x44, 0xfa, 0x22}}}, @@ -1616,7 +1477,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xff, 0x76, 0x03, 0xc5, 0x4b, 0x89, 0x99, 0x70, 0x00, 0x59, 0x70, 0x9c, 0xd5, 0xd9, 0x11, 0x89, 0x5a, 0x46, 0xfe, 0xef, 0xdc, 0xd9, 0x55, 0x2b, 0x45, 0xa7, 0xb0, 0x2d, 0xfb, 0x24, 0xc2, 0x29}}}, {{{0x38, 0x06, 0xf8, 0x0b, 0xac, 0x82, 0xc4, 0x97, 0x2b, 0x90, 0xe0, 0xf7, 0xa8, 0xab, 0x6c, 0x08, 0x80, 0x66, 0x90, 0x46, 0xf7, 0x26, 0x2d, 0xf8, 0xf1, 0xc4, 0x6b, 0x4a, 0x82, 0x98, 0x8e, 0x37}} , {{0x8e, 0xb4, 0xee, 0xb8, 0xd4, 0x3f, 0xb2, 0x1b, 0xe0, 0x0a, 0x3d, 0x75, 0x34, 0x28, 0xa2, 0x8e, 0xc4, 0x92, 0x7b, 0xfe, 0x60, 0x6e, 0x6d, 0xb8, 0x31, 0x1d, 0x62, 0x0d, 0x78, 0x14, 0x42, 0x11}}}, -{{{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}}, +{{{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}}}, {{{0x5e, 0xa8, 0xd8, 0x04, 0x9b, 0x73, 0xc9, 0xc9, 0xdc, 0x0d, 0x73, 0xbf, 0x0a, 0x0a, 0x73, 0xff, 0x18, 0x1f, 0x9c, 0x51, 0xaa, 0xc6, 0xf1, 0x83, 0x25, 0xfd, 0xab, 0xa3, 0x11, 0xd3, 0x01, 0x24}} , {{0x4d, 0xe3, 0x7e, 0x38, 0x62, 0x5e, 0x64, 0xbb, 0x2b, 0x53, 0xb5, 0x03, 0x68, 0xc4, 0xf2, 0x2b, 0x5a, 0x03, 0x32, 0x99, 0x4a, 0x41, 0x9a, 0xe1, 0x1a, 0xae, 0x8c, 0x48, 0xf3, 0x24, 0x32, 0x65}}}, @@ -1626,7 +1487,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x7c, 0x31, 0x33, 0xcc, 0xe4, 0xcf, 0x6c, 0xff, 0x80, 0x47, 0x77, 0xd1, 0xd8, 0xe9, 0x69, 0x97, 0x98, 0x7f, 0x20, 0x57, 0x1d, 0x1d, 0x4f, 0x08, 0x27, 0xc8, 0x35, 0x57, 0x40, 0xc6, 0x21, 0x0c}}}, {{{0xd2, 0x8e, 0x9b, 0xfa, 0x42, 0x8e, 0xdf, 0x8f, 0xc7, 0x86, 0xf9, 0xa4, 0xca, 0x70, 0x00, 0x9d, 0x21, 0xbf, 0xec, 0x57, 0x62, 0x30, 0x58, 0x8c, 0x0d, 0x35, 0xdb, 0x5d, 0x8b, 0x6a, 0xa0, 0x5a}} , {{0xc1, 0x58, 0x7c, 0x0d, 0x20, 0xdd, 0x11, 0x26, 0x5f, 0x89, 0x3b, 0x97, 0x58, 0xf8, 0x8b, 0xe3, 0xdf, 0x32, 0xe2, 0xfc, 0xd8, 0x67, 0xf2, 0xa5, 0x37, 0x1e, 0x6d, 0xec, 0x7c, 0x27, 0x20, 0x79}}}, -{{{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}}, +{{{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}}}, {{{0xd0, 0xe9, 0xc0, 0xfa, 0x95, 0x45, 0x23, 0x96, 0xf1, 0x2c, 0x79, 0x25, 0x14, 0xce, 0x40, 0x14, 0x44, 0x2c, 0x36, 0x50, 0xd9, 0x63, 0x56, 0xb7, 0x56, 0x3b, 0x9e, 0xa7, 0xef, 0x89, 0xbb, 0x0e}} , {{0xce, 0x7f, 0xdc, 0x0a, 0xcc, 0x82, 0x1c, 0x0a, 0x78, 0x71, 0xe8, 0x74, 0x8d, 0x01, 0x30, 0x0f, 0xa7, 0x11, 0x4c, 0xdf, 0x38, 0xd7, 0xa7, 0x0d, 0xf8, 0x48, 0x52, 0x00, 0x80, 0x7b, 0x5f, 0x0e}}}, @@ -1636,7 +1497,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x50, 0x5b, 0xff, 0xa9, 0xb2, 0xf1, 0xf1, 0x78, 0xcf, 0x14, 0xa4, 0xa9, 0xfc, 0x09, 0x46, 0x94, 0x54, 0x65, 0x0d, 0x9c, 0x5f, 0x72, 0x21, 0xe2, 0x97, 0xa5, 0x2d, 0x81, 0xce, 0x4a, 0x5f, 0x79}}}, {{{0x3d, 0x5f, 0x5c, 0xd2, 0xbc, 0x7d, 0x77, 0x0e, 0x2a, 0x6d, 0x22, 0x45, 0x84, 0x06, 0xc4, 0xdd, 0xc6, 0xa6, 0xc6, 0xd7, 0x49, 0xad, 0x6d, 0x87, 0x91, 0x0e, 0x3a, 0x67, 0x1d, 0x2c, 0x1d, 0x56}} , {{0xfe, 0x7a, 0x74, 0xcf, 0xd4, 0xd2, 0xe5, 0x19, 0xde, 0xd0, 0xdb, 0x70, 0x23, 0x69, 0xe6, 0x6d, 0xec, 0xec, 0xcc, 0x09, 0x33, 0x6a, 0x77, 0xdc, 0x6b, 0x22, 0x76, 0x5d, 0x92, 0x09, 0xac, 0x2d}}}, -{{{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}}, +{{{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}}}, {{{0x23, 0x15, 0x17, 0xeb, 0xd3, 0xdb, 0x12, 0x5e, 0x01, 0xf0, 0x91, 0xab, 0x2c, 0x41, 0xce, 0xac, 0xed, 0x1b, 0x4b, 0x2d, 0xbc, 0xdb, 0x17, 0x66, 0x89, 0x46, 0xad, 0x4b, 0x1e, 0x6f, 0x0b, 0x14}} , {{0x11, 0xce, 0xbf, 0xb6, 0x77, 0x2d, 0x48, 0x22, 0x18, 0x4f, 0xa3, 0x5d, 0x4a, 0xb0, 0x70, 0x12, 0x3e, 0x54, 0xd7, 0xd8, 0x0e, 0x2b, 0x27, 0xdc, 0x53, 0xff, 0xca, 0x8c, 0x59, 0xb3, 0x4e, 0x44}}}, @@ -1646,7 +1507,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x0d, 0x16, 0xac, 0x3c, 0x4a, 0x58, 0x86, 0x3a, 0x46, 0x7f, 0x6c, 0xa3, 0x52, 0x6e, 0x37, 0xe4, 0x96, 0x9c, 0xe9, 0x5c, 0x66, 0x41, 0x67, 0xe4, 0xfb, 0x79, 0x0c, 0x05, 0xf6, 0x64, 0xd5, 0x7c}}}, {{{0x28, 0xc1, 0xe1, 0x54, 0x73, 0xf2, 0xbf, 0x76, 0x74, 0x19, 0x19, 0x1b, 0xe4, 0xb9, 0xa8, 0x46, 0x65, 0x73, 0xf3, 0x77, 0x9b, 0x29, 0x74, 0x5b, 0xc6, 0x89, 0x6c, 0x2c, 0x7c, 0xf8, 0xb3, 0x0f}} , {{0xf7, 0xd5, 0xe9, 0x74, 0x5d, 0xb8, 0x25, 0x16, 0xb5, 0x30, 0xbc, 0x84, 0xc5, 0xf0, 0xad, 0xca, 0x12, 0x28, 0xbc, 0x9d, 0xd4, 0xfa, 0x82, 0xe6, 0xe3, 0xbf, 0xa2, 0x15, 0x2c, 0xd4, 0x34, 0x10}}}, -{{{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}}, +{{{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}}}, {{{0x61, 0xb1, 0x46, 0xba, 0x0e, 0x31, 0xa5, 0x67, 0x6c, 0x7f, 0xd6, 0xd9, 0x27, 0x85, 0x0f, 0x79, 0x14, 0xc8, 0x6c, 0x2f, 0x5f, 0x5b, 0x9c, 0x35, 0x3d, 0x38, 0x86, 0x77, 0x65, 0x55, 0x6a, 0x7b}} , {{0xd3, 0xb0, 0x3a, 0x66, 0x60, 0x1b, 0x43, 0xf1, 0x26, 0x58, 0x99, 0x09, 0x8f, 0x2d, 0xa3, 0x14, 0x71, 0x85, 0xdb, 0xed, 0xf6, 0x26, 0xd5, 0x61, 0x9a, 0x73, 0xac, 0x0e, 0xea, 0xac, 0xb7, 0x0c}}}, @@ -1656,7 +1517,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xe8, 0xc1, 0xa9, 0xc2, 0x7b, 0x59, 0x21, 0x33, 0xe2, 0x43, 0x73, 0x2b, 0xac, 0x2d, 0xc1, 0x89, 0x3b, 0x15, 0xe2, 0xd5, 0xc0, 0x97, 0x8a, 0xfd, 0x6f, 0x36, 0x33, 0xb7, 0xb9, 0xc3, 0x88, 0x09}}}, {{{0xd0, 0xb6, 0x56, 0x30, 0x5c, 0xae, 0xb3, 0x75, 0x44, 0xa4, 0x83, 0x51, 0x6e, 0x01, 0x65, 0xef, 0x45, 0x76, 0xe6, 0xf5, 0xa2, 0x0d, 0xd4, 0x16, 0x3b, 0x58, 0x2f, 0xf2, 0x2f, 0x36, 0x18, 0x3f}} , {{0xfd, 0x2f, 0xe0, 0x9b, 0x1e, 0x8c, 0xc5, 0x18, 0xa9, 0xca, 0xd4, 0x2b, 0x35, 0xb6, 0x95, 0x0a, 0x9f, 0x7e, 0xfb, 0xc4, 0xef, 0x88, 0x7b, 0x23, 0x43, 0xec, 0x2f, 0x0d, 0x0f, 0x7a, 0xfc, 0x5c}}}, -{{{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}}, +{{{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}}}, {{{0x8d, 0xd2, 0xda, 0xc7, 0x44, 0xd6, 0x7a, 0xdb, 0x26, 0x7d, 0x1d, 0xb8, 0xe1, 0xde, 0x9d, 0x7a, 0x7d, 0x17, 0x7e, 0x1c, 0x37, 0x04, 0x8d, 0x2d, 0x7c, 0x5e, 0x18, 0x38, 0x1e, 0xaf, 0xc7, 0x1b}} , {{0x33, 0x48, 0x31, 0x00, 0x59, 0xf6, 0xf2, 0xca, 0x0f, 0x27, 0x1b, 0x63, 0x12, 0x7e, 0x02, 0x1d, 0x49, 0xc0, 0x5d, 0x79, 0x87, 0xef, 0x5e, 0x7a, 0x2f, 0x1f, 0x66, 0x55, 0xd8, 0x09, 0xd9, 0x61}}}, @@ -1666,7 +1527,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xa1, 0x4c, 0x70, 0x4b, 0x0e, 0xa0, 0x83, 0x70, 0x13, 0xa4, 0xaf, 0xb8, 0x38, 0x19, 0x22, 0x65, 0x09, 0xb4, 0x02, 0x4f, 0x06, 0xf8, 0x17, 0xce, 0x46, 0x45, 0xda, 0x50, 0x7c, 0x8a, 0xd1, 0x4e}}}, {{{0xf7, 0xd4, 0x16, 0x6c, 0x4e, 0x95, 0x9d, 0x5d, 0x0f, 0x91, 0x2b, 0x52, 0xfe, 0x5c, 0x34, 0xe5, 0x30, 0xe6, 0xa4, 0x3b, 0xf3, 0xf3, 0x34, 0x08, 0xa9, 0x4a, 0xa0, 0xb5, 0x6e, 0xb3, 0x09, 0x0a}} , {{0x26, 0xd9, 0x5e, 0xa3, 0x0f, 0xeb, 0xa2, 0xf3, 0x20, 0x3b, 0x37, 0xd4, 0xe4, 0x9e, 0xce, 0x06, 0x3d, 0x53, 0xed, 0xae, 0x2b, 0xeb, 0xb6, 0x24, 0x0a, 0x11, 0xa3, 0x0f, 0xd6, 0x7f, 0xa4, 0x3a}}}, -{{{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}}, +{{{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}}}, {{{0xdb, 0x9f, 0x2c, 0xfc, 0xd6, 0xb2, 0x1e, 0x2e, 0x52, 0x7a, 0x06, 0x87, 0x2d, 0x86, 0x72, 0x2b, 0x6d, 0x90, 0x77, 0x46, 0x43, 0xb5, 0x7a, 0xf8, 0x60, 0x7d, 0x91, 0x60, 0x5b, 0x9d, 0x9e, 0x07}} , {{0x97, 0x87, 0xc7, 0x04, 0x1c, 0x38, 0x01, 0x39, 0x58, 0xc7, 0x85, 0xa3, 0xfc, 0x64, 0x00, 0x64, 0x25, 0xa2, 0xbf, 0x50, 0x94, 0xca, 0x26, 0x31, 0x45, 0x0a, 0x24, 0xd2, 0x51, 0x29, 0x51, 0x16}}}, @@ -1676,7 +1537,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x95, 0x21, 0x01, 0xce, 0x95, 0x5b, 0x0e, 0x57, 0xc7, 0xb9, 0x62, 0xb5, 0x28, 0xca, 0x11, 0xec, 0xb4, 0x46, 0x06, 0x73, 0x26, 0xff, 0xfb, 0x66, 0x7d, 0xee, 0x5f, 0xb2, 0x56, 0xfd, 0x2a, 0x08}}}, {{{0x92, 0x67, 0x77, 0x56, 0xa1, 0xff, 0xc4, 0xc5, 0x95, 0xf0, 0xe3, 0x3a, 0x0a, 0xca, 0x94, 0x4d, 0x9e, 0x7e, 0x3d, 0xb9, 0x6e, 0xb6, 0xb0, 0xce, 0xa4, 0x30, 0x89, 0x99, 0xe9, 0xad, 0x11, 0x59}} , {{0xf6, 0x48, 0x95, 0xa1, 0x6f, 0x5f, 0xb7, 0xa5, 0xbb, 0x30, 0x00, 0x1c, 0xd2, 0x8a, 0xd6, 0x25, 0x26, 0x1b, 0xb2, 0x0d, 0x37, 0x6a, 0x05, 0xf4, 0x9d, 0x3e, 0x17, 0x2a, 0x43, 0xd2, 0x3a, 0x06}}}, -{{{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}}, +{{{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}}}, {{{0x32, 0x99, 0x93, 0xd1, 0x9a, 0x72, 0xf3, 0xa9, 0x16, 0xbd, 0xb4, 0x4c, 0xdd, 0xf9, 0xd4, 0xb2, 0x64, 0x9a, 0xd3, 0x05, 0xe4, 0xa3, 0x73, 0x1c, 0xcb, 0x7e, 0x57, 0x67, 0xff, 0x04, 0xb3, 0x10}} , {{0xb9, 0x4b, 0xa4, 0xad, 0xd0, 0x6d, 0x61, 0x23, 0xb4, 0xaf, 0x34, 0xa9, 0xaa, 0x65, 0xec, 0xd9, 0x69, 0xe3, 0x85, 0xcd, 0xcc, 0xe7, 0xb0, 0x9b, 0x41, 0xc1, 0x1c, 0xf9, 0xa0, 0xfa, 0xb7, 0x13}}}, @@ -1686,7 +1547,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xfd, 0x4e, 0x2a, 0xc1, 0x3a, 0xca, 0x8f, 0x00, 0xd8, 0xec, 0x74, 0x67, 0xef, 0x61, 0xe0, 0x28, 0xd0, 0x96, 0xf4, 0x48, 0xde, 0x81, 0xe3, 0xef, 0xdc, 0xaa, 0x7d, 0xf3, 0xb6, 0x55, 0xa6, 0x65}}}, {{{0xeb, 0xcb, 0xc5, 0x70, 0x91, 0x31, 0x10, 0x93, 0x0d, 0xc8, 0xd0, 0xef, 0x62, 0xe8, 0x6f, 0x82, 0xe3, 0x69, 0x3d, 0x91, 0x7f, 0x31, 0xe1, 0x26, 0x35, 0x3c, 0x4a, 0x2f, 0xab, 0xc4, 0x9a, 0x5e}} , {{0xab, 0x1b, 0xb5, 0xe5, 0x2b, 0xc3, 0x0e, 0x29, 0xb0, 0xd0, 0x73, 0xe6, 0x4f, 0x64, 0xf2, 0xbc, 0xe4, 0xe4, 0xe1, 0x9a, 0x52, 0x33, 0x2f, 0xbd, 0xcc, 0x03, 0xee, 0x8a, 0xfa, 0x00, 0x5f, 0x50}}}, -{{{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}}, +{{{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}}}, {{{0xf6, 0xdb, 0x0d, 0x22, 0x3d, 0xb5, 0x14, 0x75, 0x31, 0xf0, 0x81, 0xe2, 0xb9, 0x37, 0xa2, 0xa9, 0x84, 0x11, 0x9a, 0x07, 0xb5, 0x53, 0x89, 0x78, 0xa9, 0x30, 0x27, 0xa1, 0xf1, 0x4e, 0x5c, 0x2e}} , {{0x8b, 0x00, 0x54, 0xfb, 0x4d, 0xdc, 0xcb, 0x17, 0x35, 0x40, 0xff, 0xb7, 0x8c, 0xfe, 0x4a, 0xe4, 0x4e, 0x99, 0x4e, 0xa8, 0x74, 0x54, 0x5d, 0x5c, 0x96, 0xa3, 0x12, 0x55, 0x36, 0x31, 0x17, 0x5c}}}, @@ -1696,7 +1557,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x8c, 0x44, 0x09, 0x28, 0xd5, 0x23, 0xc9, 0x8f, 0xf3, 0x84, 0x45, 0xc6, 0x9a, 0x5e, 0xff, 0xd2, 0xc7, 0x57, 0x93, 0xa3, 0xc1, 0x69, 0xdd, 0x62, 0x0f, 0xda, 0x5c, 0x30, 0x59, 0x5d, 0xe9, 0x4c}}}, {{{0x92, 0x7e, 0x50, 0x27, 0x72, 0xd7, 0x0c, 0xd6, 0x69, 0x96, 0x81, 0x35, 0x84, 0x94, 0x35, 0x8b, 0x6c, 0xaa, 0x62, 0x86, 0x6e, 0x1c, 0x15, 0xf3, 0x6c, 0xb3, 0xff, 0x65, 0x1b, 0xa2, 0x9b, 0x59}} , {{0xe2, 0xa9, 0x65, 0x88, 0xc4, 0x50, 0xfa, 0xbb, 0x3b, 0x6e, 0x5f, 0x44, 0x01, 0xca, 0x97, 0xd4, 0xdd, 0xf6, 0xcd, 0x3f, 0x3f, 0xe5, 0x97, 0x67, 0x2b, 0x8c, 0x66, 0x0f, 0x35, 0x9b, 0xf5, 0x07}}}, -{{{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}}, +{{{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}}}, {{{0xf1, 0x59, 0x27, 0xd8, 0xdb, 0x5a, 0x11, 0x5e, 0x82, 0xf3, 0x38, 0xff, 0x1c, 0xed, 0xfe, 0x3f, 0x64, 0x54, 0x3f, 0x7f, 0xd1, 0x81, 0xed, 0xef, 0x65, 0xc5, 0xcb, 0xfd, 0xe1, 0x80, 0xcd, 0x11}} , {{0xe0, 0xdb, 0x22, 0x28, 0xe6, 0xff, 0x61, 0x9d, 0x41, 0x14, 0x2d, 0x3b, 0x26, 0x22, 0xdf, 0xf1, 0x34, 0x81, 0xe9, 0x45, 0xee, 0x0f, 0x98, 0x8b, 0xa6, 0x3f, 0xef, 0xf7, 0x43, 0x19, 0xf1, 0x43}}}, @@ -1706,7 +1567,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x60, 0xbc, 0x45, 0x1f, 0x23, 0xa2, 0x3b, 0x70, 0x76, 0xe6, 0x97, 0x99, 0x4f, 0x77, 0x54, 0x67, 0x30, 0x9a, 0xe7, 0x66, 0xd6, 0xcd, 0x2e, 0x51, 0x24, 0x2c, 0x42, 0x4a, 0x11, 0xfe, 0x6f, 0x7e}}}, {{{0x87, 0xc0, 0xb1, 0xf0, 0xa3, 0x6f, 0x0c, 0x93, 0xa9, 0x0a, 0x72, 0xef, 0x5c, 0xbe, 0x65, 0x35, 0xa7, 0x6a, 0x4e, 0x2c, 0xbf, 0x21, 0x23, 0xe8, 0x2f, 0x97, 0xc7, 0x3e, 0xc8, 0x17, 0xac, 0x1e}} , {{0x7b, 0xef, 0x21, 0xe5, 0x40, 0xcc, 0x1e, 0xdc, 0xd6, 0xbd, 0x97, 0x7a, 0x7c, 0x75, 0x86, 0x7a, 0x25, 0x5a, 0x6e, 0x7c, 0xe5, 0x51, 0x3c, 0x1b, 0x5b, 0x82, 0x9a, 0x07, 0x60, 0xa1, 0x19, 0x04}}}, -{{{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}}, +{{{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}}}, {{{0x96, 0x88, 0xa6, 0xab, 0x8f, 0xe3, 0x3a, 0x49, 0xf8, 0xfe, 0x34, 0xe7, 0x6a, 0xb2, 0xfe, 0x40, 0x26, 0x74, 0x57, 0x4c, 0xf6, 0xd4, 0x99, 0xce, 0x5d, 0x7b, 0x2f, 0x67, 0xd6, 0x5a, 0xe4, 0x4e}} , {{0x5c, 0x82, 0xb3, 0xbd, 0x55, 0x25, 0xf6, 0x6a, 0x93, 0xa4, 0x02, 0xc6, 0x7d, 0x5c, 0xb1, 0x2b, 0x5b, 0xff, 0xfb, 0x56, 0xf8, 0x01, 0x41, 0x90, 0xc6, 0xb6, 0xac, 0x4f, 0xfe, 0xa7, 0x41, 0x70}}}, @@ -1716,7 +1577,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x17, 0x0f, 0x86, 0x52, 0xd7, 0x9d, 0xc3, 0x44, 0x51, 0x76, 0x32, 0x65, 0xb4, 0x37, 0x81, 0x99, 0x46, 0x37, 0x62, 0xed, 0xcf, 0x64, 0x9d, 0x72, 0x40, 0x7a, 0x4c, 0x0b, 0x76, 0x2a, 0xfb, 0x56}}}, {{{0x33, 0xa7, 0x90, 0x7c, 0xc3, 0x6f, 0x17, 0xa5, 0xa0, 0x67, 0x72, 0x17, 0xea, 0x7e, 0x63, 0x14, 0x83, 0xde, 0xc1, 0x71, 0x2d, 0x41, 0x32, 0x7a, 0xf3, 0xd1, 0x2b, 0xd8, 0x2a, 0xa6, 0x46, 0x36}} , {{0xac, 0xcc, 0x6b, 0x7c, 0xf9, 0xb8, 0x8b, 0x08, 0x5c, 0xd0, 0x7d, 0x8f, 0x73, 0xea, 0x20, 0xda, 0x86, 0xca, 0x00, 0xc7, 0xad, 0x73, 0x4d, 0xe9, 0xe8, 0xa9, 0xda, 0x1f, 0x03, 0x06, 0xdd, 0x24}}}, -{{{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}}, +{{{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}}}, {{{0x9c, 0xb2, 0x61, 0x0a, 0x98, 0x2a, 0xa5, 0xd7, 0xee, 0xa9, 0xac, 0x65, 0xcb, 0x0a, 0x1e, 0xe2, 0xbe, 0xdc, 0x85, 0x59, 0x0f, 0x9c, 0xa6, 0x57, 0x34, 0xa5, 0x87, 0xeb, 0x7b, 0x1e, 0x0c, 0x3c}} , {{0x2f, 0xbd, 0x84, 0x63, 0x0d, 0xb5, 0xa0, 0xf0, 0x4b, 0x9e, 0x93, 0xc6, 0x34, 0x9a, 0x34, 0xff, 0x73, 0x19, 0x2f, 0x6e, 0x54, 0x45, 0x2c, 0x92, 0x31, 0x76, 0x34, 0xf1, 0xb2, 0x26, 0xe8, 0x74}}}, @@ -1726,7 +1587,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x87, 0xc8, 0xa0, 0x6e, 0xe1, 0xb0, 0xad, 0x6a, 0x4a, 0x34, 0x71, 0xed, 0x7c, 0xd6, 0x44, 0x03, 0x65, 0x4a, 0x5c, 0x5c, 0x04, 0xf5, 0x24, 0x3f, 0xb0, 0x16, 0x5e, 0x8c, 0xb2, 0xd2, 0xc5, 0x20}}}, {{{0x98, 0x83, 0xc2, 0x37, 0xa0, 0x41, 0xa8, 0x48, 0x5c, 0x5f, 0xbf, 0xc8, 0xfa, 0x24, 0xe0, 0x59, 0x2c, 0xbd, 0xf6, 0x81, 0x7e, 0x88, 0xe6, 0xca, 0x04, 0xd8, 0x5d, 0x60, 0xbb, 0x74, 0xa7, 0x0b}} , {{0x21, 0x13, 0x91, 0xbf, 0x77, 0x7a, 0x33, 0xbc, 0xe9, 0x07, 0x39, 0x0a, 0xdd, 0x7d, 0x06, 0x10, 0x9a, 0xee, 0x47, 0x73, 0x1b, 0x15, 0x5a, 0xfb, 0xcd, 0x4d, 0xd0, 0xd2, 0x3a, 0x01, 0xba, 0x54}}}, -{{{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}}, +{{{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}}}, {{{0x48, 0xd5, 0x39, 0x4a, 0x0b, 0x20, 0x6a, 0x43, 0xa0, 0x07, 0x82, 0x5e, 0x49, 0x7c, 0xc9, 0x47, 0xf1, 0x7c, 0x37, 0xb9, 0x23, 0xef, 0x6b, 0x46, 0x45, 0x8c, 0x45, 0x76, 0xdf, 0x14, 0x6b, 0x6e}} , {{0x42, 0xc9, 0xca, 0x29, 0x4c, 0x76, 0x37, 0xda, 0x8a, 0x2d, 0x7c, 0x3a, 0x58, 0xf2, 0x03, 0xb4, 0xb5, 0xb9, 0x1a, 0x13, 0x2d, 0xde, 0x5f, 0x6b, 0x9d, 0xba, 0x52, 0xc9, 0x5d, 0xb3, 0xf3, 0x30}}}, @@ -1736,7 +1597,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xe4, 0xe7, 0x43, 0x4b, 0xa0, 0x3f, 0x2b, 0x06, 0xba, 0x17, 0xae, 0x3d, 0xe6, 0xce, 0xbd, 0xb8, 0xed, 0x74, 0x11, 0x35, 0xec, 0x96, 0xfe, 0x31, 0xe3, 0x0e, 0x7a, 0x4e, 0xc9, 0x1d, 0xcb, 0x20}}}, {{{0xe0, 0x67, 0xe9, 0x7b, 0xdb, 0x96, 0x5c, 0xb0, 0x32, 0xd0, 0x59, 0x31, 0x90, 0xdc, 0x92, 0x97, 0xac, 0x09, 0x38, 0x31, 0x0f, 0x7e, 0xd6, 0x5d, 0xd0, 0x06, 0xb6, 0x1f, 0xea, 0xf0, 0x5b, 0x07}} , {{0x81, 0x9f, 0xc7, 0xde, 0x6b, 0x41, 0x22, 0x35, 0x14, 0x67, 0x77, 0x3e, 0x90, 0x81, 0xb0, 0xd9, 0x85, 0x4c, 0xca, 0x9b, 0x3f, 0x04, 0x59, 0xd6, 0xaa, 0x17, 0xc3, 0x88, 0x34, 0x37, 0xba, 0x43}}}, -{{{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}}, +{{{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}}}, {{{0x4c, 0xb6, 0x69, 0xc8, 0x81, 0x95, 0x94, 0x33, 0x92, 0x34, 0xe9, 0x3c, 0x84, 0x0d, 0x3d, 0x5a, 0x37, 0x9c, 0x22, 0xa0, 0xaa, 0x65, 0xce, 0xb4, 0xc2, 0x2d, 0x66, 0x67, 0x02, 0xff, 0x74, 0x10}} , {{0x22, 0xb0, 0xd5, 0xe6, 0xc7, 0xef, 0xb1, 0xa7, 0x13, 0xda, 0x60, 0xb4, 0x80, 0xc1, 0x42, 0x7d, 0x10, 0x70, 0x97, 0x04, 0x4d, 0xda, 0x23, 0x89, 0xc2, 0x0e, 0x68, 0xcb, 0xde, 0xe0, 0x9b, 0x29}}}, @@ -1746,7 +1607,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xa0, 0x20, 0x99, 0x69, 0x0a, 0xae, 0xa3, 0x70, 0x4e, 0x64, 0x80, 0xb7, 0x85, 0x9c, 0x87, 0x54, 0x43, 0x43, 0x55, 0x80, 0x6d, 0x8d, 0x7c, 0xa9, 0x64, 0xca, 0x6c, 0x2e, 0x21, 0xd8, 0xc8, 0x6c}}}, {{{0x91, 0x4a, 0x07, 0xad, 0x08, 0x75, 0xc1, 0x4f, 0xa4, 0xb2, 0xc3, 0x6f, 0x46, 0x3e, 0xb1, 0xce, 0x52, 0xab, 0x67, 0x09, 0x54, 0x48, 0x6b, 0x6c, 0xd7, 0x1d, 0x71, 0x76, 0xcb, 0xff, 0xdd, 0x31}} , {{0x36, 0x88, 0xfa, 0xfd, 0xf0, 0x36, 0x6f, 0x07, 0x74, 0x88, 0x50, 0xd0, 0x95, 0x38, 0x4a, 0x48, 0x2e, 0x07, 0x64, 0x97, 0x11, 0x76, 0x01, 0x1a, 0x27, 0x4d, 0x8e, 0x25, 0x9a, 0x9b, 0x1c, 0x22}}}, -{{{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}}, +{{{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}}}, {{{0xbe, 0x57, 0xbd, 0x0e, 0x0f, 0xac, 0x5e, 0x76, 0xa3, 0x71, 0xad, 0x2b, 0x10, 0x45, 0x02, 0xec, 0x59, 0xd5, 0x5d, 0xa9, 0x44, 0xcc, 0x25, 0x4c, 0xb3, 0x3c, 0x5b, 0x69, 0x07, 0x55, 0x26, 0x6b}} , {{0x30, 0x6b, 0xd4, 0xa7, 0x51, 0x29, 0xe3, 0xf9, 0x7a, 0x75, 0x2a, 0x82, 0x2f, 0xd6, 0x1d, 0x99, 0x2b, 0x80, 0xd5, 0x67, 0x1e, 0x15, 0x9d, 0xca, 0xfd, 0xeb, 0xac, 0x97, 0x35, 0x09, 0x7f, 0x3f}}}, @@ -1756,7 +1617,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xad, 0xa0, 0x41, 0xec, 0xc8, 0x4d, 0xb9, 0xd2, 0x6e, 0x96, 0x4e, 0x5b, 0xc5, 0xc2, 0xa0, 0x1b, 0xcf, 0x0c, 0xbf, 0x17, 0x66, 0x57, 0xc1, 0x17, 0x90, 0x45, 0x71, 0xc2, 0xe1, 0x24, 0xeb, 0x27}}}, {{{0x2c, 0xb9, 0x42, 0xa4, 0xaf, 0x3b, 0x42, 0x0e, 0xc2, 0x0f, 0xf2, 0xea, 0x83, 0xaf, 0x9a, 0x13, 0x17, 0xb0, 0xbd, 0x89, 0x17, 0xe3, 0x72, 0xcb, 0x0e, 0x76, 0x7e, 0x41, 0x63, 0x04, 0x88, 0x71}} , {{0x75, 0x78, 0x38, 0x86, 0x57, 0xdd, 0x9f, 0xee, 0x54, 0x70, 0x65, 0xbf, 0xf1, 0x2c, 0xe0, 0x39, 0x0d, 0xe3, 0x89, 0xfd, 0x8e, 0x93, 0x4f, 0x43, 0xdc, 0xd5, 0x5b, 0xde, 0xf9, 0x98, 0xe5, 0x7b}}}, -{{{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}}, +{{{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}}}, {{{0xe7, 0x3b, 0x65, 0x11, 0xdf, 0xb2, 0xf2, 0x63, 0x94, 0x12, 0x6f, 0x5c, 0x9e, 0x77, 0xc1, 0xb6, 0xd8, 0xab, 0x58, 0x7a, 0x1d, 0x95, 0x73, 0xdd, 0xe7, 0xe3, 0x6f, 0xf2, 0x03, 0x1d, 0xdb, 0x76}} , {{0xae, 0x06, 0x4e, 0x2c, 0x52, 0x1b, 0xbc, 0x5a, 0x5a, 0xa5, 0xbe, 0x27, 0xbd, 0xeb, 0xe1, 0x14, 0x17, 0x68, 0x26, 0x07, 0x03, 0xd1, 0x18, 0x0b, 0xdf, 0xf1, 0x06, 0x5c, 0xa6, 0x1b, 0xb9, 0x24}}}, @@ -1766,7 +1627,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x8d, 0xbd, 0xa3, 0xc4, 0x06, 0x9b, 0x1f, 0x90, 0x58, 0x60, 0x74, 0xb2, 0x00, 0x3b, 0x3c, 0xd2, 0xda, 0x82, 0xbb, 0x10, 0x90, 0x69, 0x92, 0xa9, 0xb4, 0x30, 0x81, 0xe3, 0x7c, 0xa8, 0x89, 0x45}}}, {{{0x3f, 0xdc, 0x05, 0xcb, 0x41, 0x3c, 0xc8, 0x23, 0x04, 0x2c, 0x38, 0x99, 0xe3, 0x68, 0x55, 0xf9, 0xd3, 0x32, 0xc7, 0xbf, 0xfa, 0xd4, 0x1b, 0x5d, 0xde, 0xdc, 0x10, 0x42, 0xc0, 0x42, 0xd9, 0x75}} , {{0x2d, 0xab, 0x35, 0x4e, 0x87, 0xc4, 0x65, 0x97, 0x67, 0x24, 0xa4, 0x47, 0xad, 0x3f, 0x8e, 0xf3, 0xcb, 0x31, 0x17, 0x77, 0xc5, 0xe2, 0xd7, 0x8f, 0x3c, 0xc1, 0xcd, 0x56, 0x48, 0xc1, 0x6c, 0x69}}}, -{{{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}}, +{{{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}}}, {{{0x14, 0xae, 0x5f, 0x88, 0x7b, 0xa5, 0x90, 0xdf, 0x10, 0xb2, 0x8b, 0x5e, 0x24, 0x17, 0xc3, 0xa3, 0xd4, 0x0f, 0x92, 0x61, 0x1a, 0x19, 0x5a, 0xad, 0x76, 0xbd, 0xd8, 0x1c, 0xdd, 0xe0, 0x12, 0x6d}} , {{0x8e, 0xbd, 0x70, 0x8f, 0x02, 0xa3, 0x24, 0x4d, 0x5a, 0x67, 0xc4, 0xda, 0xf7, 0x20, 0x0f, 0x81, 0x5b, 0x7a, 0x05, 0x24, 0x67, 0x83, 0x0b, 0x2a, 0x80, 0xe7, 0xfd, 0x74, 0x4b, 0x9e, 0x5c, 0x0d}}}, @@ -1776,7 +1637,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x97, 0x29, 0x6c, 0xc4, 0x42, 0x0b, 0xdd, 0xc0, 0x29, 0x5c, 0x9b, 0x34, 0x97, 0xd0, 0xc7, 0x79, 0x80, 0x63, 0x74, 0xe4, 0x8e, 0x37, 0xb0, 0x2b, 0x7c, 0xe8, 0x68, 0x6c, 0xc3, 0x82, 0x97, 0x57}}}, {{{0x22, 0xbe, 0x83, 0xb6, 0x4b, 0x80, 0x6b, 0x43, 0x24, 0x5e, 0xef, 0x99, 0x9b, 0xa8, 0xfc, 0x25, 0x8d, 0x3b, 0x03, 0x94, 0x2b, 0x3e, 0xe7, 0x95, 0x76, 0x9b, 0xcc, 0x15, 0xdb, 0x32, 0xe6, 0x66}} , {{0x84, 0xf0, 0x4a, 0x13, 0xa6, 0xd6, 0xfa, 0x93, 0x46, 0x07, 0xf6, 0x7e, 0x5c, 0x6d, 0x5e, 0xf6, 0xa6, 0xe7, 0x48, 0xf0, 0x06, 0xea, 0xff, 0x90, 0xc1, 0xcc, 0x4c, 0x19, 0x9c, 0x3c, 0x4e, 0x53}}}, -{{{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}}, +{{{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}}}, {{{0x2a, 0x50, 0xe3, 0x07, 0x15, 0x59, 0xf2, 0x8b, 0x81, 0xf2, 0xf3, 0xd3, 0x6c, 0x99, 0x8c, 0x70, 0x67, 0xec, 0xcc, 0xee, 0x9e, 0x59, 0x45, 0x59, 0x7d, 0x47, 0x75, 0x69, 0xf5, 0x24, 0x93, 0x5d}} , {{0x6a, 0x4f, 0x1b, 0xbe, 0x6b, 0x30, 0xcf, 0x75, 0x46, 0xe3, 0x7b, 0x9d, 0xfc, 0xcd, 0xd8, 0x5c, 0x1f, 0xb4, 0xc8, 0xe2, 0x24, 0xec, 0x1a, 0x28, 0x05, 0x32, 0x57, 0xfd, 0x3c, 0x5a, 0x98, 0x10}}}, @@ -1786,7 +1647,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x9b, 0x35, 0xe2, 0xa9, 0x3d, 0x32, 0x1e, 0xbb, 0x16, 0x28, 0x70, 0xe9, 0x45, 0x2f, 0x8f, 0x70, 0x7f, 0x08, 0x7e, 0x53, 0xc4, 0x7a, 0xbf, 0xf7, 0xe1, 0xa4, 0x6a, 0xd8, 0xac, 0x64, 0x1b, 0x11}}}, {{{0xb2, 0xeb, 0x47, 0x46, 0x18, 0x3e, 0x1f, 0x99, 0x0c, 0xcc, 0xf1, 0x2c, 0xe0, 0xe7, 0x8f, 0xe0, 0x01, 0x7e, 0x65, 0xb8, 0x0c, 0xd0, 0xfb, 0xc8, 0xb9, 0x90, 0x98, 0x33, 0x61, 0x3b, 0xd8, 0x27}} , {{0xa0, 0xbe, 0x72, 0x3a, 0x50, 0x4b, 0x74, 0xab, 0x01, 0xc8, 0x93, 0xc5, 0xe4, 0xc7, 0x08, 0x6c, 0xb4, 0xca, 0xee, 0xeb, 0x8e, 0xd7, 0x4e, 0x26, 0xc6, 0x1d, 0xe2, 0x71, 0xaf, 0x89, 0xa0, 0x2a}}}, -{{{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}}, +{{{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}}}, {{{0x98, 0x0b, 0xe4, 0xde, 0xdb, 0xa8, 0xfa, 0x82, 0x74, 0x06, 0x52, 0x6d, 0x08, 0x52, 0x8a, 0xff, 0x62, 0xc5, 0x6a, 0x44, 0x0f, 0x51, 0x8c, 0x1f, 0x6e, 0xb6, 0xc6, 0x2c, 0x81, 0xd3, 0x76, 0x46}} , {{0xf4, 0x29, 0x74, 0x2e, 0x80, 0xa7, 0x1a, 0x8f, 0xf6, 0xbd, 0xd6, 0x8e, 0xbf, 0xc1, 0x95, 0x2a, 0xeb, 0xa0, 0x7f, 0x45, 0xa0, 0x50, 0x14, 0x05, 0xb1, 0x57, 0x4c, 0x74, 0xb7, 0xe2, 0x89, 0x7d}}}, @@ -1796,7 +1657,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x29, 0xd8, 0xf2, 0xaa, 0xe9, 0x0e, 0xf7, 0x2e, 0x5f, 0x9d, 0x8a, 0x5b, 0x09, 0xed, 0xc9, 0x24, 0x22, 0xf4, 0x0f, 0x25, 0x8f, 0x1c, 0x84, 0x6e, 0x34, 0x14, 0x6c, 0xea, 0xb3, 0x86, 0x5d, 0x04}}}, {{{0x07, 0x98, 0x61, 0xe8, 0x6a, 0xd2, 0x81, 0x49, 0x25, 0xd5, 0x5b, 0x18, 0xc7, 0x35, 0x52, 0x51, 0xa4, 0x46, 0xad, 0x18, 0x0d, 0xc9, 0x5f, 0x18, 0x91, 0x3b, 0xb4, 0xc0, 0x60, 0x59, 0x8d, 0x66}} , {{0x03, 0x1b, 0x79, 0x53, 0x6e, 0x24, 0xae, 0x57, 0xd9, 0x58, 0x09, 0x85, 0x48, 0xa2, 0xd3, 0xb5, 0xe2, 0x4d, 0x11, 0x82, 0xe6, 0x86, 0x3c, 0xe9, 0xb1, 0x00, 0x19, 0xc2, 0x57, 0xf7, 0x66, 0x7a}}}, -{{{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}}, +{{{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}}}, {{{0x0f, 0xe3, 0x89, 0x03, 0xd7, 0x22, 0x95, 0x9f, 0xca, 0xb4, 0x8d, 0x9e, 0x6d, 0x97, 0xff, 0x8d, 0x21, 0x59, 0x07, 0xef, 0x03, 0x2d, 0x5e, 0xf8, 0x44, 0x46, 0xe7, 0x85, 0x80, 0xc5, 0x89, 0x50}} , {{0x8b, 0xd8, 0x53, 0x86, 0x24, 0x86, 0x29, 0x52, 0x01, 0xfa, 0x20, 0xc3, 0x4e, 0x95, 0xcb, 0xad, 0x7b, 0x34, 0x94, 0x30, 0xb7, 0x7a, 0xfa, 0x96, 0x41, 0x60, 0x2b, 0xcb, 0x59, 0xb9, 0xca, 0x50}}}, @@ -1806,7 +1667,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x19, 0xf9, 0x35, 0xaa, 0x59, 0x1a, 0x0c, 0x5c, 0x06, 0xfc, 0x6a, 0x0b, 0x97, 0x53, 0x36, 0xfc, 0x2a, 0xa5, 0x5a, 0x9b, 0x30, 0xef, 0x23, 0xaf, 0x39, 0x5d, 0x9a, 0x6b, 0x75, 0x57, 0x48, 0x0b}}}, {{{0x26, 0xdc, 0x76, 0x3b, 0xfc, 0xf9, 0x9c, 0x3f, 0x89, 0x0b, 0x62, 0x53, 0xaf, 0x83, 0x01, 0x2e, 0xbc, 0x6a, 0xc6, 0x03, 0x0d, 0x75, 0x2a, 0x0d, 0xe6, 0x94, 0x54, 0xcf, 0xb3, 0xe5, 0x96, 0x25}} , {{0xfe, 0x82, 0xb1, 0x74, 0x31, 0x8a, 0xa7, 0x6f, 0x56, 0xbd, 0x8d, 0xf4, 0xe0, 0x94, 0x51, 0x59, 0xde, 0x2c, 0x5a, 0xf4, 0x84, 0x6b, 0x4a, 0x88, 0x93, 0xc0, 0x0c, 0x9a, 0xac, 0xa7, 0xa0, 0x68}}}, -{{{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}}, +{{{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}}}, {{{0x25, 0x0d, 0xd6, 0xc7, 0x23, 0x47, 0x10, 0xad, 0xc7, 0x08, 0x5c, 0x87, 0x87, 0x93, 0x98, 0x18, 0xb8, 0xd3, 0x9c, 0xac, 0x5a, 0x3d, 0xc5, 0x75, 0xf8, 0x49, 0x32, 0x14, 0xcc, 0x51, 0x96, 0x24}} , {{0x65, 0x9c, 0x5d, 0xf0, 0x37, 0x04, 0xf0, 0x34, 0x69, 0x2a, 0xf0, 0xa5, 0x64, 0xca, 0xde, 0x2b, 0x5b, 0x15, 0x10, 0xd2, 0xab, 0x06, 0xdd, 0xc4, 0xb0, 0xb6, 0x5b, 0xc1, 0x17, 0xdf, 0x8f, 0x02}}}, @@ -1816,7 +1677,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0x00, 0xa9, 0x4c, 0xb2, 0x12, 0xf8, 0x32, 0xa8, 0x7a, 0x00, 0x4b, 0x49, 0x32, 0xba, 0x1f, 0x5d, 0x44, 0x8e, 0x44, 0x7a, 0xdc, 0x11, 0xfb, 0x39, 0x08, 0x57, 0x87, 0xa5, 0x12, 0x42, 0x93, 0x0e}}}, {{{0x17, 0xb4, 0xae, 0x72, 0x59, 0xd0, 0xaa, 0xa8, 0x16, 0x8b, 0x63, 0x11, 0xb3, 0x43, 0x04, 0xda, 0x0c, 0xa8, 0xb7, 0x68, 0xdd, 0x4e, 0x54, 0xe7, 0xaf, 0x5d, 0x5d, 0x05, 0x76, 0x36, 0xec, 0x0d}} , {{0x6d, 0x7c, 0x82, 0x32, 0x38, 0x55, 0x57, 0x74, 0x5b, 0x7d, 0xc3, 0xc4, 0xfb, 0x06, 0x29, 0xf0, 0x13, 0x55, 0x54, 0xc6, 0xa7, 0xdc, 0x4c, 0x9f, 0x98, 0x49, 0x20, 0xa8, 0xc3, 0x8d, 0xfa, 0x48}}}, -{{{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}}, +{{{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}}}, {{{0x87, 0x47, 0x9d, 0xe9, 0x25, 0xd5, 0xe3, 0x47, 0x78, 0xdf, 0x85, 0xa7, 0x85, 0x5e, 0x7a, 0x4c, 0x5f, 0x79, 0x1a, 0xf3, 0xa2, 0xb2, 0x28, 0xa0, 0x9c, 0xdd, 0x30, 0x40, 0xd4, 0x38, 0xbd, 0x28}} , {{0xfc, 0xbb, 0xd5, 0x78, 0x6d, 0x1d, 0xd4, 0x99, 0xb4, 0xaa, 0x44, 0x44, 0x7a, 0x1b, 0xd8, 0xfe, 0xb4, 0x99, 0xb9, 0xcc, 0xe7, 0xc4, 0xd3, 0x3a, 0x73, 0x83, 0x41, 0x5c, 0x40, 0xd7, 0x2d, 0x55}}}, @@ -1826,7 +1687,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xc0, 0x61, 0x48, 0x48, 0x17, 0xf4, 0x9e, 0x18, 0x51, 0x2d, 0xea, 0x2f, 0xf2, 0xf2, 0xe0, 0xa3, 0x14, 0xb7, 0x8b, 0x3a, 0x30, 0xf5, 0x81, 0xc1, 0x5d, 0x71, 0x39, 0x62, 0x55, 0x1f, 0x60, 0x5a}}}, {{{0xe5, 0x89, 0x8a, 0x76, 0x6c, 0xdb, 0x4d, 0x0a, 0x5b, 0x72, 0x9d, 0x59, 0x6e, 0x63, 0x63, 0x18, 0x7c, 0xe3, 0xfa, 0xe2, 0xdb, 0xa1, 0x8d, 0xf4, 0xa5, 0xd7, 0x16, 0xb2, 0xd0, 0xb3, 0x3f, 0x39}} , {{0xce, 0x60, 0x09, 0x6c, 0xf5, 0x76, 0x17, 0x24, 0x80, 0x3a, 0x96, 0xc7, 0x94, 0x2e, 0xf7, 0x6b, 0xef, 0xb5, 0x05, 0x96, 0xef, 0xd3, 0x7b, 0x51, 0xda, 0x05, 0x44, 0x67, 0xbc, 0x07, 0x21, 0x4e}}}, -{{{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}}, +{{{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}}}, {{{0xe9, 0x73, 0x6f, 0x21, 0xb9, 0xde, 0x22, 0x7d, 0xeb, 0x97, 0x31, 0x10, 0xa3, 0xea, 0xe1, 0xc6, 0x37, 0xeb, 0x8f, 0x43, 0x58, 0xde, 0x41, 0x64, 0x0e, 0x3e, 0x07, 0x99, 0x3d, 0xf1, 0xdf, 0x1e}} , {{0xf8, 0xad, 0x43, 0xc2, 0x17, 0x06, 0xe2, 0xe4, 0xa9, 0x86, 0xcd, 0x18, 0xd7, 0x78, 0xc8, 0x74, 0x66, 0xd2, 0x09, 0x18, 0xa5, 0xf1, 0xca, 0xa6, 0x62, 0x92, 0xc1, 0xcb, 0x00, 0xeb, 0x42, 0x2e}}}, @@ -1836,7 +1697,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{0xa3, 0x64, 0x17, 0x9b, 0x8b, 0xc8, 0x3a, 0x61, 0xe6, 0x9d, 0xc6, 0xed, 0x7b, 0x03, 0x52, 0x26, 0x9d, 0x3a, 0xb3, 0x13, 0xcc, 0x8a, 0xfd, 0x2c, 0x1a, 0x1d, 0xed, 0x13, 0xd0, 0x55, 0x57, 0x0e}}}, {{{0x1a, 0xea, 0xbf, 0xfd, 0x4a, 0x3c, 0x8e, 0xec, 0x29, 0x7e, 0x77, 0x77, 0x12, 0x99, 0xd7, 0x84, 0xf9, 0x55, 0x7f, 0xf1, 0x8b, 0xb4, 0xd2, 0x95, 0xa3, 0x8d, 0xf0, 0x8a, 0xa7, 0xeb, 0x82, 0x4b}} , {{0x2c, 0x28, 0xf4, 0x3a, 0xf6, 0xde, 0x0a, 0xe0, 0x41, 0x44, 0x23, 0xf8, 0x3f, 0x03, 0x64, 0x9f, 0xc3, 0x55, 0x4c, 0xc6, 0xc1, 0x94, 0x1c, 0x24, 0x5d, 0x5f, 0x92, 0x45, 0x96, 0x57, 0x37, 0x14}}}, -{{{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}}, +{{{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}}}, {{{0xc1, 0xcd, 0x90, 0x66, 0xb9, 0x76, 0xa0, 0x5b, 0xa5, 0x85, 0x75, 0x23, 0xf9, 0x89, 0xa5, 0x82, 0xb2, 0x6f, 0xb1, 0xeb, 0xc4, 0x69, 0x6f, 0x18, 0x5a, 0xed, 0x94, 0x3d, 0x9d, 0xd9, 0x2c, 0x1a}} , {{0x35, 0xb0, 0xe6, 0x73, 0x06, 0xb7, 0x37, 0xe0, 0xf8, 0xb0, 0x22, 0xe8, 0xd2, 0xed, 0x0b, 0xef, 0xe6, 0xc6, 0x5a, 0x99, 0x9e, 0x1a, 0x9f, 0x04, 0x97, 0xe4, 0x4d, 0x0b, 0xbe, 0xba, 0x44, 0x40}}}, @@ -1846,7 +1707,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{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}}, +{{{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}}}, @@ -1856,7 +1717,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{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}}, +{{{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}}}, @@ -1868,407 +1729,279 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = { {{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}}} }; -static inline void p1p1_to_p2(ge25519_p2 *r, const ge25519_p1p1 *p) +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); + fe25519_mul(&r->x, &p->x, &p->t); + fe25519_mul(&r->y, &p->y, &p->z); + fe25519_mul(&r->z, &p->z, &p->t); } -static inline void p1p1_to_p2_2(ge25519_p3 *r, const ge25519_p1p1 *p) +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); + fe25519_mul(&r->x, &p->x, &p->t); + fe25519_mul(&r->y, &p->y, &p->z); + fe25519_mul(&r->z, &p->z, &p->t); } -static inline void p1p1_to_p3(ge25519_p3 *r, const ge25519_p1p1 *p) +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); + p1p1_to_p2_2(r, p); + fe25519_mul(&r->t, &p->x, &p->y); } -static void ge25519_mixadd2(ge25519_p3 *r, const ge25519_aff *q) +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(&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_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_mul(&r->x, &e, &f); - fe25519_mul(&r->y, &h, &g); - fe25519_mul(&r->z, &g, &f); - fe25519_mul(&r->t, &e, &h); + 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(&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_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_mul(&r->x, &e, &f); + fe25519_mul(&r->y, &h, &g); + fe25519_mul(&r->z, &g, &f); + fe25519_mul(&r->t, &e, &h); } -static void add_p1p1(ge25519_p1p1 *r, const ge25519_p3 *p, const ge25519_p3 *q) +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(&t, &q->y, &q->x); - fe25519_mul(&a, &a, &t); - fe25519_add(&b, &p->x, &p->y); /* B = (Y1+X1)*(Y2+X2) */ - 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, &c, &ge25519_ec2d); - fe25519_mul(&d, &p->z, &q->z); /* D = Z1*2*Z2 */ - 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 a, b, c, d, t; + + fe25519_sub(&a, &p->y, &p->x); /* A = (Y1-X1)*(Y2-X2) */ + 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(&t, &q->x, &q->y); + fe25519_mul(&b, &b, &t); + fe25519_mul(&c, &p->t, &q->t); /* C = T1*k*T2 */ + fe25519_mul(&c, &c, &ge25519_ec2d); + fe25519_mul(&d, &p->z, &q->z); /* D = Z1*2*Z2 */ + 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 */ } /* See http://www.hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html#doubling-dbl-2008-hwcd */ -static void dbl_p1p1(ge25519_p1p1 *r, const ge25519_p2 *p) +void dbl_p1p1(ge25519_p1p1 *r, const ge25519_p2 *p) { - fe25519 a,b,c,d; - fe25519_square(&a, &p->x); - fe25519_square(&b, &p->y); - fe25519_square(&c, &p->z); - fe25519_add(&c, &c, &c); - fe25519_neg(&d, &a); + fe25519 a,b,c,d; + fe25519_square(&a, &p->x); + fe25519_square(&b, &p->y); + 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); - fe25519_sub(&r->x, &r->x, &b); - fe25519_add(&r->z, &d, &b); - fe25519_sub(&r->t, &r->z, &c); - fe25519_sub(&r->y, &d, &b); + fe25519_add(&r->x, &p->x, &p->y); + fe25519_square(&r->x, &r->x); + fe25519_sub(&r->x, &r->x, &a); + fe25519_sub(&r->x, &r->x, &b); + fe25519_add(&r->z, &d, &b); + fe25519_sub(&r->t, &r->z, &c); + fe25519_sub(&r->y, &d, &b); } /* Constant-time version of: if(b) r = p */ -static inline void cmov_aff(ge25519_aff *r, const ge25519_aff *p, unsigned char b) +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); + fe25519_cmov(&r->x, &p->x, b); + fe25519_cmov(&r->y, &p->y, b); } -static inline unsigned char equal(signed char b,signed char c) +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 */ - return (unsigned char)y; + 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 */ + return (unsigned char)y; } -static inline unsigned char negative(signed char b) +unsigned char negative(signed char b) { - unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */ - x >>= 63; /* 1: yes; 0: no */ - return (unsigned char)x; + unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */ + x >>= 63; /* 1: yes; 0: no */ + return (unsigned char)x; } -static inline void choose_t(ge25519_aff *t, unsigned long long pos, signed char b) +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)); - cmov_aff(t, &ge25519_base_multiples_affine[5*pos+2],equal(b,2) | equal(b,-2)); - cmov_aff(t, &ge25519_base_multiples_affine[5*pos+3],equal(b,3) | equal(b,-3)); - cmov_aff(t, &ge25519_base_multiples_affine[5*pos+4],equal(b,-4)); - fe25519_neg(&v, &t->x); - fe25519_cmov(&t->x, &v, negative(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)); + cmov_aff(t, &ge25519_base_multiples_affine[5*pos+2],equal(b,2) | equal(b,-2)); + cmov_aff(t, &ge25519_base_multiples_affine[5*pos+3],equal(b,3) | equal(b,-3)); + cmov_aff(t, &ge25519_base_multiples_affine[5*pos+4],equal(b,-4)); + fe25519_neg(&v, &t->x); + fe25519_cmov(&t->x, &v, negative(b)); } -static inline void setneutral(ge25519 *r) +void setneutral(ge25519 *r) { - fe25519_setzero(&r->x); - fe25519_setone(&r->y); - fe25519_setone(&r->z); - fe25519_setzero(&r->t); + fe25519_setzero(&r->x); + fe25519_setone(&r->y); + fe25519_setone(&r->z); + fe25519_setzero(&r->t); } /* return 0 on success, -1 otherwise */ -static 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(&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)) - 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)) - 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; -} - -static inline void ge25519_pack(unsigned char r[32], const ge25519_p3 *p) -{ - fe25519 tx, ty, zi; - fe25519_invert(&zi, &p->z); - fe25519_mul(&tx, &p->x, &zi); - fe25519_mul(&ty, &p->y, &zi); - fe25519_pack(r, &ty); - r[31] ^= fe25519_getparity(&tx) << 7; -} - -#if 0 -static int ge25519_isneutral_vartime(const ge25519_p3 *p) -{ - int ret = 1; - if(!fe25519_iszero(&p->x)) ret = 0; - if(!fe25519_iseq_vartime(&p->y, &p->z)) ret = 0; - return ret; +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(&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)) + 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)) + 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) +{ + fe25519 tx, ty, zi; + fe25519_invert(&zi, &p->z); + fe25519_mul(&tx, &p->x, &zi); + fe25519_mul(&ty, &p->y, &zi); + fe25519_pack(r, &ty); + r[31] ^= fe25519_getparity(&tx) << 7; } -#endif /* computes [s1]p1 + [s2]p2 */ -static 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 - unsigned char b[127]; - int i; - - /* precomputation s2 s1 */ - setneutral(pre); /* 00 00 */ - pre[1] = *p1; /* 00 01 */ - 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 */ - pre[4] = *p2; /* 01 00 */ - add_p1p1(&tp1p1,&pre[1], &pre[4]); p1p1_to_p3( &pre[5], &tp1p1); /* 01 01 */ - add_p1p1(&tp1p1,&pre[2], &pre[4]); 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); 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); p1p1_to_p3(&pre[10], &tp1p1); /* 10 10 */ - add_p1p1(&tp1p1,&pre[3], &pre[8]); p1p1_to_p3(&pre[11], &tp1p1); /* 10 11 */ - add_p1p1(&tp1p1,&pre[4], &pre[8]); p1p1_to_p3(&pre[12], &tp1p1); /* 11 00 */ - add_p1p1(&tp1p1,&pre[1],&pre[12]); p1p1_to_p3(&pre[13], &tp1p1); /* 11 01 */ - add_p1p1(&tp1p1,&pre[2],&pre[12]); 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); - 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); - else p1p1_to_p3(r, &tp1p1); - } -} - -static inline 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]); - fe25519_setone(&r->z); - fe25519_mul(&r->t, &r->x, &r->y); - for(i=1;i<85;i++) - { - choose_t(&t, (unsigned long long) i, b[i]); - ge25519_mixadd2(r, &t); - } -} - -static 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) playground[i] = sm[i]; - for (i = 32;i < 64;++i) playground[i] = pk[i-32]; - for (i = 64;i < smlen;++i) playground[i] = sm[i]; - - //crypto_hash_sha512(hram,playground,smlen); - SHA512::hash(hram,playground,(unsigned int)smlen); -} - -// This is the original sign and verify code -- the versions in sign() and -// verify() below the fold are slightly modified in terms of how they behave -// in relation to the message, but the algorithms are the same. - -#if 0 -int crypto_sign_keypair( - unsigned char *pk, - unsigned char *sk - ) -{ - sc25519 scsk; - ge25519 gepk; - unsigned char extsk[64]; - int i; - - randombytes(sk, 32); - crypto_hash_sha512(extsk, sk, 32); - extsk[0] &= 248; - extsk[31] &= 127; - extsk[31] |= 64; - - sc25519_from32bytes(&scsk,extsk); - - ge25519_scalarmult_base(&gepk, &scsk); - ge25519_pack(pk, &gepk); - for(i=0;i<32;i++) - sk[32 + i] = pk[i]; - return 0; -} - -static int crypto_sign( - unsigned char *sm,unsigned long long *smlen, - const unsigned char *m,unsigned long long mlen, - const unsigned char *sk - ) -{ - sc25519 sck, scs, scsk; - ge25519 ger; - unsigned char r[32]; - unsigned char s[32]; - unsigned char extsk[64]; - unsigned long long i; - unsigned char hmg[crypto_hash_sha512_BYTES]; - unsigned char hram[crypto_hash_sha512_BYTES]; - - crypto_hash_sha512(extsk, sk, 32); - extsk[0] &= 248; - extsk[31] &= 127; - extsk[31] |= 64; - - *smlen = mlen+64; - for(i=0;i<mlen;i++) - sm[64 + i] = m[i]; - for(i=0;i<32;i++) - sm[32 + i] = extsk[32+i]; - - crypto_hash_sha512(hmg, sm+32, mlen+32); /* Generate k as h(extsk[32],...,extsk[63],m) */ - - /* Computation of R */ - sc25519_from64bytes(&sck, hmg); - ge25519_scalarmult_base(&ger, &sck); - ge25519_pack(r, &ger); - - /* Computation of s */ - for(i=0;i<32;i++) - sm[i] = r[i]; +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 + unsigned char b[127]; + int i; + + /* precomputation s2 s1 */ + setneutral(pre); /* 00 00 */ + pre[1] = *p1; /* 00 01 */ + 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 */ + pre[4] = *p2; /* 01 00 */ + add_p1p1(&tp1p1,&pre[1], &pre[4]); p1p1_to_p3( &pre[5], &tp1p1); /* 01 01 */ + add_p1p1(&tp1p1,&pre[2], &pre[4]); 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); 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); p1p1_to_p3(&pre[10], &tp1p1); /* 10 10 */ + add_p1p1(&tp1p1,&pre[3], &pre[8]); p1p1_to_p3(&pre[11], &tp1p1); /* 10 11 */ + add_p1p1(&tp1p1,&pre[4], &pre[8]); p1p1_to_p3(&pre[12], &tp1p1); /* 11 00 */ + add_p1p1(&tp1p1,&pre[1],&pre[12]); p1p1_to_p3(&pre[13], &tp1p1); /* 11 01 */ + add_p1p1(&tp1p1,&pre[2],&pre[12]); 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); + 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); + else p1p1_to_p3(r, &tp1p1); + } +} - get_hram(hram, sm, sk+32, sm, mlen+64); +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]); + fe25519_setone(&r->z); + fe25519_mul(&r->t, &r->x, &r->y); + for(i=1;i<85;i++) + { + choose_t(&t, (unsigned long long) i, b[i]); + ge25519_mixadd2(r, &t); + } +} - sc25519_from64bytes(&scs, hram); - sc25519_from32bytes(&scsk, extsk); - sc25519_mul(&scs, &scs, &scsk); - - sc25519_add(&scs, &scs, &sck); - - sc25519_to32bytes(s,&scs); /* cat s */ - for(i=0;i<32;i++) - sm[32 + i] = s[i]; - - return 0; -} - -static int crypto_sign_open( - unsigned char *m,unsigned long long *mlen, - const unsigned char *sm,unsigned long long smlen, - const unsigned char *pk - ) +void get_hram(unsigned char *hram, const unsigned char *sm, const unsigned char *pk, unsigned char *playground, unsigned long long smlen) { - int i, ret; - unsigned char t2[32]; - ge25519 get1, get2; - sc25519 schram, scs; - unsigned char hram[crypto_hash_sha512_BYTES]; - - *mlen = (unsigned long long) -1; - if (smlen < 64) return -1; - - if (ge25519_unpackneg_vartime(&get1, pk)) return -1; - - get_hram(hram,sm,pk,m,smlen); - - sc25519_from64bytes(&schram, hram); - - sc25519_from32bytes(&scs, sm+32); - - ge25519_double_scalarmult_vartime(&get2, &get1, &schram, &ge25519_base, &scs); - ge25519_pack(t2, &get2); - - ret = crypto_verify_32(sm, t2); - - if (!ret) - { - for(i=0;i<smlen-64;i++) - m[i] = sm[i + 64]; - *mlen = smlen-64; - } - else - { - for(i=0;i<smlen-64;i++) - m[i] = 0; - } - return ret; -} -#endif // 0 + unsigned long long i; + + for (i = 0;i < 32;++i) playground[i] = sm[i]; + for (i = 32;i < 64;++i) playground[i] = pk[i-32]; + for (i = 64;i < smlen;++i) playground[i] = sm[i]; + + //crypto_hash_sha512(hram,playground,smlen); + ZeroTier::SHA512::hash(hram,playground,(unsigned int)smlen); +} ////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////// +} // anonymous namespace + +#ifdef ZT_USE_FAST_X64_ED25519 +extern "C" void ed25519_amd64_asm_sign(const unsigned char *sk,const unsigned char *pk,const unsigned char *m,const unsigned int mlen,unsigned char *sig); +#endif + +namespace ZeroTier { + void C25519::agree(const C25519::Private &mine,const C25519::Public &their,void *keybuf,unsigned int keylen) - throw() { unsigned char rawkey[32]; unsigned char digest[64]; @@ -2285,114 +2018,113 @@ void C25519::agree(const C25519::Private &mine,const C25519::Public &their,void } void C25519::sign(const C25519::Private &myPrivate,const C25519::Public &myPublic,const void *msg,unsigned int len,void *signature) - throw() -{ - sc25519 sck, scs, scsk; - ge25519 ger; - unsigned char r[32]; - unsigned char s[32]; - 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 digest[64]; // we sign the first 32 bytes of SHA-512(msg) - - SHA512::hash(digest,msg,len); - - SHA512::hash(extsk,myPrivate.data + 32,32); - extsk[0] &= 248; - extsk[31] &= 127; - extsk[31] |= 64; - - for(unsigned int i=0;i<32;i++) - sig[32 + i] = extsk[32 + i]; - for(unsigned int i=0;i<32;i++) - sig[64 + i] = digest[i]; - - SHA512::hash(hmg,sig + 32,64); - //crypto_hash_sha512(hmg, sm+32, mlen+32); /* Generate k as h(extsk[32],...,extsk[63],m) */ - - /* Computation of R */ - sc25519_from64bytes(&sck, hmg); - ge25519_scalarmult_base(&ger, &sck); - ge25519_pack(r, &ger); - - /* Computation of s */ - for(unsigned int i=0;i<32;i++) - sig[i] = r[i]; - - get_hram(hram,sig,myPublic.data + 32,sig,96); - - sc25519_from64bytes(&scs, hram); - sc25519_from32bytes(&scsk, extsk); - sc25519_mul(&scs, &scs, &scsk); - - sc25519_add(&scs, &scs, &sck); - - sc25519_to32bytes(s,&scs); /* cat s */ - for(unsigned int i=0;i<32;i++) - sig[32 + i] = s[i]; +{ +#ifdef ZT_USE_FAST_X64_ED25519 + ed25519_amd64_asm_sign(myPrivate.data + 32,myPublic.data + 32,(const unsigned char *)msg,len,(unsigned char *)signature); +#else + sc25519 sck, scs, scsk; + ge25519 ger; + unsigned char r[32]; + unsigned char s[32]; + 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 digest[64]; // we sign the first 32 bytes of SHA-512(msg) + + SHA512::hash(digest,msg,len); + + SHA512::hash(extsk,myPrivate.data + 32,32); + extsk[0] &= 248; + extsk[31] &= 127; + extsk[31] |= 64; + + for(unsigned int i=0;i<32;i++) + sig[32 + i] = extsk[32 + i]; + for(unsigned int i=0;i<32;i++) + sig[64 + i] = digest[i]; + + SHA512::hash(hmg,sig + 32,64); + + /* Computation of R */ + sc25519_from64bytes(&sck, hmg); + ge25519_scalarmult_base(&ger, &sck); + ge25519_pack(r, &ger); + + /* Computation of s */ + for(unsigned int i=0;i<32;i++) + sig[i] = r[i]; + + get_hram(hram,sig,myPublic.data + 32,sig,96); + + sc25519_from64bytes(&scs, hram); + sc25519_from32bytes(&scsk, extsk); + sc25519_mul(&scs, &scs, &scsk); + + sc25519_add(&scs, &scs, &sck); + + sc25519_to32bytes(s,&scs); /* cat s */ + for(unsigned int i=0;i<32;i++) + sig[32 + i] = s[i]; +#endif } bool C25519::verify(const C25519::Public &their,const void *msg,unsigned int len,const void *signature) - throw() { - unsigned char t2[32]; - ge25519 get1, get2; - sc25519 schram, scs; - unsigned char hram[crypto_hash_sha512_BYTES]; - unsigned char m[96]; - unsigned char digest[64]; // we sign the first 32 bytes of SHA-512(msg) - const unsigned char *sig = (const unsigned char *)signature; + unsigned char t2[32]; + ge25519 get1, get2; + sc25519 schram, scs; + unsigned char hram[crypto_hash_sha512_BYTES]; + unsigned char m[96]; + unsigned char digest[64]; // we sign the first 32 bytes of SHA-512(msg) + const unsigned char *sig = (const unsigned char *)signature; - // First check the message's integrity - SHA512::hash(digest,msg,len); - if (!Utils::secureEq(sig + 64,digest,32)) - return false; + // First check the message's integrity + SHA512::hash(digest,msg,len); + if (!Utils::secureEq(sig + 64,digest,32)) + return false; - if (ge25519_unpackneg_vartime(&get1,their.data + 32)) - return false; + if (ge25519_unpackneg_vartime(&get1,their.data + 32)) + return false; - get_hram(hram,sig,their.data + 32,m,96); + get_hram(hram,sig,their.data + 32,m,96); - sc25519_from64bytes(&schram, hram); + sc25519_from64bytes(&schram, hram); - sc25519_from32bytes(&scs, sig+32); + sc25519_from32bytes(&scs, sig+32); - ge25519_double_scalarmult_vartime(&get2, &get1, &schram, &ge25519_base, &scs); - ge25519_pack(t2, &get2); + ge25519_double_scalarmult_vartime(&get2, &get1, &schram, &ge25519_base, &scs); + ge25519_pack(t2, &get2); - return Utils::secureEq(sig,t2,32); + return Utils::secureEq(sig,t2,32); } void C25519::_calcPubDH(C25519::Pair &kp) - throw() { - // 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(kp.pub.data,kp.priv.data); + // 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(kp.pub.data,kp.priv.data); } void C25519::_calcPubED(C25519::Pair &kp) - throw() -{ - unsigned char extsk[64]; - sc25519 scsk; - ge25519 gepk; - - // Second 32 bytes of pub and priv are the keys for ed25519 - // signing and verification. - SHA512::hash(extsk,kp.priv.data + 32,32); - extsk[0] &= 248; - extsk[31] &= 127; - extsk[31] |= 64; - sc25519_from32bytes(&scsk,extsk); - ge25519_scalarmult_base(&gepk,&scsk); - ge25519_pack(kp.pub.data + 32,&gepk); - // In NaCl, the public key is crammed into the next 32 bytes - // of the private key for signing since both keys are required - // to sign. In this version we just get it from kp.pub, so we - // leave that out of private. +{ + unsigned char extsk[64]; + sc25519 scsk; + ge25519 gepk; + + // Second 32 bytes of pub and priv are the keys for ed25519 + // signing and verification. + SHA512::hash(extsk,kp.priv.data + 32,32); + extsk[0] &= 248; + extsk[31] &= 127; + extsk[31] |= 64; + sc25519_from32bytes(&scsk,extsk); + ge25519_scalarmult_base(&gepk,&scsk); + ge25519_pack(kp.pub.data + 32,&gepk); + // In NaCl, the public key is crammed into the next 32 bytes + // of the private key for signing since both keys are required + // to sign. In this version we just get it from kp.pub, so we + // leave that out of private. } } // namespace ZeroTier |