diff options
Diffstat (limited to 'external_libs/python/pyzmq-14.7.0/bundled/libsodium/src/libsodium/crypto_sign/edwards25519sha512batch/ref/fe25519_edwards25519sha512batch.c')
-rw-r--r-- | external_libs/python/pyzmq-14.7.0/bundled/libsodium/src/libsodium/crypto_sign/edwards25519sha512batch/ref/fe25519_edwards25519sha512batch.c | 348 |
1 files changed, 348 insertions, 0 deletions
diff --git a/external_libs/python/pyzmq-14.7.0/bundled/libsodium/src/libsodium/crypto_sign/edwards25519sha512batch/ref/fe25519_edwards25519sha512batch.c b/external_libs/python/pyzmq-14.7.0/bundled/libsodium/src/libsodium/crypto_sign/edwards25519sha512batch/ref/fe25519_edwards25519sha512batch.c new file mode 100644 index 00000000..df7a923e --- /dev/null +++ b/external_libs/python/pyzmq-14.7.0/bundled/libsodium/src/libsodium/crypto_sign/edwards25519sha512batch/ref/fe25519_edwards25519sha512batch.c @@ -0,0 +1,348 @@ +#include "fe25519.h" + +#define WINDOWSIZE 4 /* Should be 1,2, or 4 */ +#define WINDOWMASK ((1<<WINDOWSIZE)-1) + +static void reduce_add_sub(fe25519 *r) +{ + crypto_uint32 t; + int i,rep; + + for(rep=0;rep<4;rep++) + { + t = r->v[31] >> 7; + r->v[31] &= 127; + t *= 19; + 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 void reduce_mul(fe25519 *r) +{ + crypto_uint32 t; + int i,rep; + + for(rep=0;rep<2;rep++) + { + t = r->v[31] >> 7; + r->v[31] &= 127; + t *= 19; + 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 void freeze(fe25519 *r) +{ + int i; + unsigned int m = (r->v[31] == 127); + for(i=30;i>1;i--) + m *= (r->v[i] == 255); + m *= (r->v[0] >= 237); + + r->v[31] -= m*127; + for(i=30;i>0;i--) + r->v[i] -= m*255; + r->v[0] -= m*237; +} + +/*freeze input before calling isone*/ +static int isone(const fe25519 *x) +{ + int i; + int r = (x->v[0] == 1); + for(i=1;i<32;i++) + r *= (x->v[i] == 0); + return r; +} + +/*freeze input before calling iszero*/ +static int iszero(const fe25519 *x) +{ + int i; + int r = (x->v[0] == 0); + for(i=1;i<32;i++) + r *= (x->v[i] == 0); + return r; +} + + +static int issquare(const fe25519 *x) +{ + unsigned char e[32] = {0xf6,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x3f}; /* (p-1)/2 */ + fe25519 t; + + fe25519_pow(&t,x,e); + freeze(&t); + return isone(&t) || iszero(&t); +} + +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; +} + +/* Assumes input x being reduced mod 2^255 */ +void fe25519_pack(unsigned char r[32], const fe25519 *x) +{ + int i; + unsigned int m; + for(i=0;i<32;i++) + r[i] = x->v[i]; + + /* freeze byte array */ + m = (r[31] == 127); /* XXX: some compilers might use branches; fix */ + for(i=30;i>1;i--) + m *= (r[i] == 255); + m *= (r[0] >= 237); + r[31] -= m*127; + for(i=30;i>0;i--) + r[i] -= m*255; + r[0] -= m*237; +} + +void fe25519_cmov(fe25519 *r, const fe25519 *x, unsigned char b) +{ + unsigned char nb = 1-b; + int i; + for(i=0;i<32;i++) r->v[i] = nb * r->v[i] + b * x->v[i]; +} + +unsigned char fe25519_getparity(const fe25519 *x) +{ + fe25519 t; + int i; + for(i=0;i<32;i++) t.v[i] = x->v[i]; + freeze(&t); + return t.v[0] & 1; +} + +void fe25519_setone(fe25519 *r) +{ + int i; + r->v[0] = 1; + for(i=1;i<32;i++) r->v[i]=0; +} + +void fe25519_setzero(fe25519 *r) +{ + int i; + for(i=0;i<32;i++) r->v[i]=0; +} + +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); +} + +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); +} + +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); +} + +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; + + 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] + 38*t[i]; + r->v[31] = t[31]; /* result now in r[0]...r[31] */ + + reduce_mul(r); +} + +void fe25519_square(fe25519 *r, const fe25519 *x) +{ + fe25519_mul(r, x, x); +} + +/*XXX: Make constant time! */ +void fe25519_pow(fe25519 *r, const fe25519 *x, const unsigned char *e) +{ + /* + fe25519 g; + fe25519_setone(&g); + int i; + unsigned char j; + for(i=32;i>0;i--) + { + for(j=128;j>0;j>>=1) + { + fe25519_square(&g,&g); + if(e[i-1] & j) + fe25519_mul(&g,&g,x); + } + } + for(i=0;i<32;i++) r->v[i] = g.v[i]; + */ + fe25519 g; + int i,j,k; + fe25519 t; + unsigned char w; + fe25519 pre[(1 << WINDOWSIZE)]; + + fe25519_setone(&g); + + // Precomputation + fe25519_setone(pre); + pre[1] = *x; + for(i=2;i<(1<<WINDOWSIZE);i+=2) + { + fe25519_square(pre+i, pre+i/2); + fe25519_mul(pre+i+1, pre+i, pre+1); + } + + // Fixed-window scalar multiplication + for(i=32;i>0;i--) + { + for(j=8-WINDOWSIZE;j>=0;j-=WINDOWSIZE) + { + for(k=0;k<WINDOWSIZE;k++) + fe25519_square(&g, &g); + // Cache-timing resistant loading of precomputed value: + w = (e[i-1]>>j) & WINDOWMASK; + t = pre[0]; + for(k=1;k<(1<<WINDOWSIZE);k++) + fe25519_cmov(&t, &pre[k], k==w); + fe25519_mul(&g, &g, &t); + } + } + *r = g; +} + +/* Return 0 on success, 1 otherwise */ +int fe25519_sqrt_vartime(fe25519 *r, const fe25519 *x, unsigned char parity) +{ + unsigned char e[32] = {0xfb,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x1f}; /* (p-1)/4 */ + unsigned char e2[32] = {0xfe,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x0f}; /* (p+3)/8 */ + unsigned char e3[32] = {0xfd,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0x0f}; /* (p-5)/8 */ + fe25519 p = {{0}}; + fe25519 d; + int i; + + /* See HAC, Alg. 3.37 */ + if (!issquare(x)) return -1; + fe25519_pow(&d,x,e); + freeze(&d); + if(isone(&d)) + fe25519_pow(r,x,e2); + else + { + for(i=0;i<32;i++) + d.v[i] = 4*x->v[i]; + fe25519_pow(&d,&d,e3); + for(i=0;i<32;i++) + r->v[i] = 2*x->v[i]; + fe25519_mul(r,r,&d); + } + freeze(r); + if((r->v[0] & 1) != (parity & 1)) + { + fe25519_sub(r,&p,r); + } + return 0; +} + +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); + + /* 2^6 - 2^1 */ fe25519_square(&t0,&z2_5_0); + /* 2^7 - 2^2 */ fe25519_square(&t1,&t0); + /* 2^8 - 2^3 */ fe25519_square(&t0,&t1); + /* 2^9 - 2^4 */ fe25519_square(&t1,&t0); + /* 2^10 - 2^5 */ fe25519_square(&t0,&t1); + /* 2^10 - 2^0 */ fe25519_mul(&z2_10_0,&t0,&z2_5_0); + + /* 2^11 - 2^1 */ fe25519_square(&t0,&z2_10_0); + /* 2^12 - 2^2 */ fe25519_square(&t1,&t0); + /* 2^20 - 2^10 */ for (i = 2;i < 10;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); } + /* 2^20 - 2^0 */ fe25519_mul(&z2_20_0,&t1,&z2_10_0); + + /* 2^21 - 2^1 */ fe25519_square(&t0,&z2_20_0); + /* 2^22 - 2^2 */ fe25519_square(&t1,&t0); + /* 2^40 - 2^20 */ for (i = 2;i < 20;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); } + /* 2^40 - 2^0 */ fe25519_mul(&t0,&t1,&z2_20_0); + + /* 2^41 - 2^1 */ fe25519_square(&t1,&t0); + /* 2^42 - 2^2 */ fe25519_square(&t0,&t1); + /* 2^50 - 2^10 */ for (i = 2;i < 10;i += 2) { fe25519_square(&t1,&t0); fe25519_square(&t0,&t1); } + /* 2^50 - 2^0 */ fe25519_mul(&z2_50_0,&t0,&z2_10_0); + + /* 2^51 - 2^1 */ fe25519_square(&t0,&z2_50_0); + /* 2^52 - 2^2 */ fe25519_square(&t1,&t0); + /* 2^100 - 2^50 */ for (i = 2;i < 50;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); } + /* 2^100 - 2^0 */ fe25519_mul(&z2_100_0,&t1,&z2_50_0); + + /* 2^101 - 2^1 */ fe25519_square(&t1,&z2_100_0); + /* 2^102 - 2^2 */ fe25519_square(&t0,&t1); + /* 2^200 - 2^100 */ for (i = 2;i < 100;i += 2) { fe25519_square(&t1,&t0); fe25519_square(&t0,&t1); } + /* 2^200 - 2^0 */ fe25519_mul(&t1,&t0,&z2_100_0); + + /* 2^201 - 2^1 */ fe25519_square(&t0,&t1); + /* 2^202 - 2^2 */ fe25519_square(&t1,&t0); + /* 2^250 - 2^50 */ for (i = 2;i < 50;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); } + /* 2^250 - 2^0 */ fe25519_mul(&t0,&t1,&z2_50_0); + + /* 2^251 - 2^1 */ fe25519_square(&t1,&t0); + /* 2^252 - 2^2 */ fe25519_square(&t0,&t1); + /* 2^253 - 2^3 */ fe25519_square(&t1,&t0); + /* 2^254 - 2^4 */ fe25519_square(&t0,&t1); + /* 2^255 - 2^5 */ fe25519_square(&t1,&t0); + /* 2^255 - 21 */ fe25519_mul(r,&t1,&z11); +} |