sxt: added initial reference implementation of ed25519, btw not all stuff done for this;
This commit is contained in:
Alexander Vdolainen
parent
8d1e8591cf
commit
09bf176b7a
65
include/sxt/fe25519.h
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65
include/sxt/fe25519.h
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/*
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* Public Domain, Authors: Daniel J. Bernstein, Niels Duif, Tanja Lange,
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* Peter Schwabe, Bo-Yin Yang.
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* Copied from supercop-20130419/crypto_sign/ed25519/ref/fe25519.h
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*/
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#ifndef __SXT_FE25519_H__
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#define __SXT_FE25519_H__
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#define fe25519 crypto_sign_ed25519_ref_fe25519
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#define fe25519_freeze crypto_sign_ed25519_ref_fe25519_freeze
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#define fe25519_unpack crypto_sign_ed25519_ref_fe25519_unpack
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#define fe25519_pack crypto_sign_ed25519_ref_fe25519_pack
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#define fe25519_iszero crypto_sign_ed25519_ref_fe25519_iszero
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#define fe25519_iseq_vartime crypto_sign_ed25519_ref_fe25519_iseq_vartime
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#define fe25519_cmov crypto_sign_ed25519_ref_fe25519_cmov
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#define fe25519_setone crypto_sign_ed25519_ref_fe25519_setone
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#define fe25519_setzero crypto_sign_ed25519_ref_fe25519_setzero
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#define fe25519_neg crypto_sign_ed25519_ref_fe25519_neg
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#define fe25519_getparity crypto_sign_ed25519_ref_fe25519_getparity
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#define fe25519_add crypto_sign_ed25519_ref_fe25519_add
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#define fe25519_sub crypto_sign_ed25519_ref_fe25519_sub
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#define fe25519_mul crypto_sign_ed25519_ref_fe25519_mul
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#define fe25519_square crypto_sign_ed25519_ref_fe25519_square
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#define fe25519_invert crypto_sign_ed25519_ref_fe25519_invert
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#define fe25519_pow2523 crypto_sign_ed25519_ref_fe25519_pow2523
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typedef struct {
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uint32_t v[32];
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} fe25519;
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void fe25519_freeze(fe25519 *r);
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void fe25519_unpack(fe25519 *r, const unsigned char x[32]);
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void fe25519_pack(unsigned char r[32], const fe25519 *x);
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int fe25519_iszero(const fe25519 *x);
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int fe25519_iseq_vartime(const fe25519 *x, const fe25519 *y);
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void fe25519_cmov(fe25519 *r, const fe25519 *x, unsigned char b);
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void fe25519_setone(fe25519 *r);
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void fe25519_setzero(fe25519 *r);
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void fe25519_neg(fe25519 *r, const fe25519 *x);
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unsigned char fe25519_getparity(const fe25519 *x);
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void fe25519_add(fe25519 *r, const fe25519 *x, const fe25519 *y);
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void fe25519_sub(fe25519 *r, const fe25519 *x, const fe25519 *y);
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void fe25519_mul(fe25519 *r, const fe25519 *x, const fe25519 *y);
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void fe25519_square(fe25519 *r, const fe25519 *x);
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void fe25519_invert(fe25519 *r, const fe25519 *x);
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void fe25519_pow2523(fe25519 *r, const fe25519 *x);
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#endif
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42
include/sxt/ge25519.h
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42
include/sxt/ge25519.h
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/*
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* Public Domain, Authors: Daniel J. Bernstein, Niels Duif, Tanja Lange,
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* Peter Schwabe, Bo-Yin Yang.
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* Copied from supercop-20130419/crypto_sign/ed25519/ref/ge25519.h
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*/
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#ifndef __SXT_GE25519_H__
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#define __SXT_GE25519_H__
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#include <sxt/fe25519.h>
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#include <sxt/sc25519.h>
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#define ge25519 crypto_sign_ed25519_ref_ge25519
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#define ge25519_base crypto_sign_ed25519_ref_ge25519_base
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#define ge25519_unpackneg_vartime crypto_sign_ed25519_ref_unpackneg_vartime
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#define ge25519_pack crypto_sign_ed25519_ref_pack
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#define ge25519_isneutral_vartime crypto_sign_ed25519_ref_isneutral_vartime
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#define ge25519_double_scalarmult_vartime crypto_sign_ed25519_ref_double_scalarmult_vartime
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#define ge25519_scalarmult_base crypto_sign_ed25519_ref_scalarmult_base
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typedef struct
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{
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fe25519 x;
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fe25519 y;
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fe25519 z;
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fe25519 t;
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} ge25519;
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const ge25519 ge25519_base;
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int ge25519_unpackneg_vartime(ge25519 *r, const unsigned char p[32]);
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void ge25519_pack(unsigned char r[32], const ge25519 *p);
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int ge25519_isneutral_vartime(const ge25519 *p);
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void ge25519_double_scalarmult_vartime(ge25519 *r, const ge25519 *p1, const sc25519 *s1, const ge25519 *p2, const sc25519 *s2);
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void ge25519_scalarmult_base(ge25519 *r, const sc25519 *s);
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#endif
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72
include/sxt/sc25519.h
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72
include/sxt/sc25519.h
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@ -0,0 +1,72 @@
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/*
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* Public Domain, Authors: Daniel J. Bernstein, Niels Duif, Tanja Lange,
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* Peter Schwabe, Bo-Yin Yang.
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* Copied from supercop-20130419/crypto_sign/ed25519/ref/sc25519.h
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*/
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#ifndef __SXT_SC25519_H_
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#define __SXT_SC25519_H_
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#define sc25519 crypto_sign_ed25519_ref_sc25519
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#define shortsc25519 crypto_sign_ed25519_ref_shortsc25519
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#define sc25519_from32bytes crypto_sign_ed25519_ref_sc25519_from32bytes
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#define shortsc25519_from16bytes crypto_sign_ed25519_ref_shortsc25519_from16bytes
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#define sc25519_from64bytes crypto_sign_ed25519_ref_sc25519_from64bytes
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#define sc25519_from_shortsc crypto_sign_ed25519_ref_sc25519_from_shortsc
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#define sc25519_to32bytes crypto_sign_ed25519_ref_sc25519_to32bytes
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#define sc25519_iszero_vartime crypto_sign_ed25519_ref_sc25519_iszero_vartime
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#define sc25519_isshort_vartime crypto_sign_ed25519_ref_sc25519_isshort_vartime
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#define sc25519_lt_vartime crypto_sign_ed25519_ref_sc25519_lt_vartime
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#define sc25519_add crypto_sign_ed25519_ref_sc25519_add
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#define sc25519_sub_nored crypto_sign_ed25519_ref_sc25519_sub_nored
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#define sc25519_mul crypto_sign_ed25519_ref_sc25519_mul
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#define sc25519_mul_shortsc crypto_sign_ed25519_ref_sc25519_mul_shortsc
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#define sc25519_window3 crypto_sign_ed25519_ref_sc25519_window3
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#define sc25519_window5 crypto_sign_ed25519_ref_sc25519_window5
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#define sc25519_2interleave2 crypto_sign_ed25519_ref_sc25519_2interleave2
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typedef struct {
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uint32_t v[32];
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} sc25519;
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typedef struct {
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uint32_t v[16];
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} shortsc25519;
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void sc25519_from32bytes(sc25519 *r, const unsigned char x[32]);
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void shortsc25519_from16bytes(shortsc25519 *r, const unsigned char x[16]);
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void sc25519_from64bytes(sc25519 *r, const unsigned char x[64]);
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void sc25519_from_shortsc(sc25519 *r, const shortsc25519 *x);
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void sc25519_to32bytes(unsigned char r[32], const sc25519 *x);
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int sc25519_iszero_vartime(const sc25519 *x);
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int sc25519_isshort_vartime(const sc25519 *x);
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int sc25519_lt_vartime(const sc25519 *x, const sc25519 *y);
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void sc25519_add(sc25519 *r, const sc25519 *x, const sc25519 *y);
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void sc25519_sub_nored(sc25519 *r, const sc25519 *x, const sc25519 *y);
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void sc25519_mul(sc25519 *r, const sc25519 *x, const sc25519 *y);
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void sc25519_mul_shortsc(sc25519 *r, const sc25519 *x, const shortsc25519 *y);
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/* Convert s into a representation of the form \sum_{i=0}^{84}r[i]2^3
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* with r[i] in {-4,...,3}
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*/
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void sc25519_window3(signed char r[85], const sc25519 *s);
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/* Convert s into a representation of the form \sum_{i=0}^{50}r[i]2^5
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* with r[i] in {-16,...,15}
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*/
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void sc25519_window5(signed char r[51], const sc25519 *s);
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void sc25519_2interleave2(unsigned char r[127], const sc25519 *s1, const sc25519 *s2);
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#endif
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418
sxt/fe25519.c
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sxt/fe25519.c
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@ -0,0 +1,418 @@
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/*
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* Public Domain, Authors: Daniel J. Bernstein, Niels Duif, Tanja Lange,
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* Peter Schwabe, Bo-Yin Yang.
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* Copied from supercop-20130419/crypto_sign/ed25519/ref/fe25519.c
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*/
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#define WINDOWSIZE 1 /* Should be 1,2, or 4 */
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#define WINDOWMASK ((1<<WINDOWSIZE)-1)
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#include <stdint.h>
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#include <sxt/fe25519.h>
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static uint32_t equal(uint32_t a,uint32_t b) /* 16-bit inputs */
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{
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uint32_t x = a ^ b; /* 0: yes; 1..65535: no */
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x -= 1; /* 4294967295: yes; 0..65534: no */
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x >>= 31; /* 1: yes; 0: no */
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return x;
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}
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static uint32_t ge(uint32_t a,uint32_t b) /* 16-bit inputs */
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{
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unsigned int x = a;
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x -= (unsigned int) b; /* 0..65535: yes; 4294901761..4294967295: no */
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x >>= 31; /* 0: yes; 1: no */
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x ^= 1; /* 1: yes; 0: no */
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return x;
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}
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static uint32_t times19(uint32_t a)
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{
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return (a << 4) + (a << 1) + a;
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}
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static uint32_t times38(uint32_t a)
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{
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return (a << 5) + (a << 2) + (a << 1);
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}
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static void reduce_add_sub(fe25519 *r)
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{
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uint32_t t;
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int i,rep;
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for(rep = 0; rep < 4; rep++) {
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t = r->v[31] >> 7;
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r->v[31] &= 127;
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t = times19(t);
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r->v[0] += t;
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for(i = 0; i < 31; i++) {
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t = r->v[i] >> 8;
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r->v[i+1] += t;
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r->v[i] &= 255;
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}
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}
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}
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static void reduce_mul(fe25519 *r)
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{
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uint32_t t;
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int i,rep;
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for(rep = 0; rep < 2; rep++) {
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t = r->v[31] >> 7;
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r->v[31] &= 127;
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t = times19(t);
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r->v[0] += t;
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for(i = 0; i < 31; i++) {
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t = r->v[i] >> 8;
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r->v[i+1] += t;
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r->v[i] &= 255;
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}
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}
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}
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/* reduction modulo 2^255-19 */
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void fe25519_freeze(fe25519 *r)
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{
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int i;
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uint32_t m = equal(r->v[31],127);
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for (i = 30; i > 0; i--) {
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m &= equal(r->v[i],255);
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}
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m &= ge(r->v[0],237);
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m = -m;
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r->v[31] -= m&127;
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for (i = 30; i > 0; i--) {
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r->v[i] -= m&255;
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}
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r->v[0] -= m&237;
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}
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void fe25519_unpack(fe25519 *r, const unsigned char x[32])
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{
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int i;
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for (i = 0;i < 32; i++) {
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r->v[i] = x[i];
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}
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r->v[31] &= 127;
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}
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/* Assumes input x being reduced below 2^255 */
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void fe25519_pack(unsigned char r[32], const fe25519 *x)
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{
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int i;
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fe25519 y = *x;
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fe25519_freeze(&y);
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for (i = 0; i < 32; i++) {
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r[i] = y.v[i];
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}
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}
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int fe25519_iszero(const fe25519 *x)
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{
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int i;
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int r;
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fe25519 t = *x;
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fe25519_freeze(&t);
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r = equal(t.v[0],0);
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for (i = 1; i < 32; i++) {
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r &= equal(t.v[i],0);
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}
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return r;
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}
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int fe25519_iseq_vartime(const fe25519 *x, const fe25519 *y)
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{
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int i;
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fe25519 t1 = *x;
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fe25519 t2 = *y;
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fe25519_freeze(&t1);
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fe25519_freeze(&t2);
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for (i = 0; i < 32; i++) {
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if(t1.v[i] != t2.v[i]) {
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return 0;
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}
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}
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return 1;
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}
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void fe25519_cmov(fe25519 *r, const fe25519 *x, unsigned char b)
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{
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int i;
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uint32_t mask = b;
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mask = -mask;
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for (i = 0; i < 32; i++) {
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r->v[i] ^= mask & (x->v[i] ^ r->v[i]);
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}
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}
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unsigned char fe25519_getparity(const fe25519 *x)
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{
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fe25519 t = *x;
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fe25519_freeze(&t);
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return t.v[0] & 1;
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}
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void fe25519_setone(fe25519 *r)
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{
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int i;
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r->v[0] = 1;
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for (i = 1; i < 32; i++) {
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r->v[i]=0;
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}
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}
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void fe25519_setzero(fe25519 *r)
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{
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int i;
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for (i = 0; i < 32; i++) {
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r->v[i]=0;
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}
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}
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void fe25519_neg(fe25519 *r, const fe25519 *x)
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{
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fe25519 t;
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int i;
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for (i = 0; i < 32; i++) {
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t.v[i]=x->v[i];
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}
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fe25519_setzero(r);
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fe25519_sub(r, r, &t);
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}
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void fe25519_add(fe25519 *r, const fe25519 *x, const fe25519 *y)
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{
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int i;
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for (i = 0; i < 32; i++) {
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r->v[i] = x->v[i] + y->v[i];
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}
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reduce_add_sub(r);
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}
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void fe25519_sub(fe25519 *r, const fe25519 *x, const fe25519 *y)
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{
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int i;
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uint32_t t[32];
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t[0] = x->v[0] + 0x1da;
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t[31] = x->v[31] + 0xfe;
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for (i = 1; i < 31; i++) {
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t[i] = x->v[i] + 0x1fe;
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}
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for (i = 0; i < 32; i++) {
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r->v[i] = t[i] - y->v[i];
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}
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reduce_add_sub(r);
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}
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void fe25519_mul(fe25519 *r, const fe25519 *x, const fe25519 *y)
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{
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int i,j;
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uint32_t t[63];
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for (i = 0; i < 63; i++) {
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t[i] = 0;
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}
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for (i = 0; i < 32; i++) {
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for (j = 0; j < 32; j++) {
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t[i+j] += x->v[i] * y->v[j];
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}
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}
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for (i = 32; i < 63; i++) {
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r->v[i-32] = t[i-32] + times38(t[i]);
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}
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r->v[31] = t[31]; /* result now in r[0]...r[31] */
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reduce_mul(r);
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}
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void fe25519_square(fe25519 *r, const fe25519 *x)
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{
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fe25519_mul(r, x, x);
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}
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void fe25519_invert(fe25519 *r, const fe25519 *x)
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{
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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);
|
||||
}
|
||||
|
||||
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);
|
||||
}
|
||||
|
||||
367
sxt/ge25519.c
Normal file
367
sxt/ge25519.c
Normal file
@ -0,0 +1,367 @@
|
||||
/*
|
||||
* Public Domain, Authors: Daniel J. Bernstein, Niels Duif, Tanja Lange,
|
||||
* Peter Schwabe, Bo-Yin Yang.
|
||||
* Copied from supercop-20130419/crypto_sign/ed25519/ref/ge25519.c
|
||||
*/
|
||||
|
||||
#include <stdint.h>
|
||||
|
||||
#include <sxt/fe25519.h>
|
||||
#include <sxt/sc25519.h>
|
||||
#include <sxt/ge25519.h>
|
||||
|
||||
/*
|
||||
* Arithmetic on the twisted Edwards curve -x^2 + y^2 = 1 + dx^2y^2
|
||||
* with d = -(121665/121666) = 37095705934669439343138083508754565189542113879843219016388785533085940283555
|
||||
* Base point: (15112221349535400772501151409588531511454012693041857206046113283949847762202,46316835694926478169428394003475163141307993866256225615783033603165251855960);
|
||||
*/
|
||||
|
||||
/* d */
|
||||
static const fe25519 ge25519_ecd = {
|
||||
{0xA3, 0x78, 0x59, 0x13, 0xCA, 0x4D, 0xEB, 0x75,
|
||||
0xAB, 0xD8, 0x41, 0x41, 0x4D, 0x0A, 0x70, 0x00,
|
||||
0x98, 0xE8, 0x79, 0x77, 0x79, 0x40, 0xC7, 0x8C,
|
||||
0x73, 0xFE, 0x6F, 0x2B, 0xEE, 0x6C, 0x03, 0x52}
|
||||
};
|
||||
|
||||
/* 2*d */
|
||||
static const fe25519 ge25519_ec2d = {
|
||||
{0x59, 0xF1, 0xB2, 0x26, 0x94, 0x9B, 0xD6, 0xEB,
|
||||
0x56, 0xB1, 0x83, 0x82, 0x9A, 0x14, 0xE0, 0x00,
|
||||
0x30, 0xD1, 0xF3, 0xEE, 0xF2, 0x80, 0x8E, 0x19,
|
||||
0xE7, 0xFC, 0xDF, 0x56, 0xDC, 0xD9, 0x06, 0x24}
|
||||
};
|
||||
|
||||
/* sqrt(-1) */
|
||||
static const fe25519 ge25519_sqrtm1 = {
|
||||
{0xB0, 0xA0, 0x0E, 0x4A, 0x27, 0x1B, 0xEE, 0xC4,
|
||||
0x78, 0xE4, 0x2F, 0xAD, 0x06, 0x18, 0x43, 0x2F,
|
||||
0xA7, 0xD7, 0xFB, 0x3D, 0x99, 0x00, 0x4D, 0x2B,
|
||||
0x0B, 0xDF, 0xC1, 0x4F, 0x80, 0x24, 0x83, 0x2B}
|
||||
};
|
||||
|
||||
#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;
|
||||
|
||||
|
||||
/* Packed coordinates of the base point */
|
||||
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] = {
|
||||
#include "ge25519_base.data"
|
||||
};
|
||||
|
||||
static 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);
|
||||
}
|
||||
|
||||
static void p1p1_to_p3(ge25519_p3 *r, const ge25519_p1p1 *p)
|
||||
{
|
||||
p1p1_to_p2((ge25519_p2 *)r, p);
|
||||
fe25519_mul(&r->t, &p->x, &p->y);
|
||||
}
|
||||
|
||||
static 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);
|
||||
}
|
||||
|
||||
static 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 */
|
||||
}
|
||||
|
||||
/* 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)
|
||||
{
|
||||
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);
|
||||
}
|
||||
|
||||
/* Constant-time version of: if(b) r = p */
|
||||
static 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);
|
||||
}
|
||||
|
||||
static 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 */
|
||||
uint32_t y = x; /* 0: yes; 1..255: no */
|
||||
|
||||
y -= 1; /* 4294967295: yes; 0..254: no */
|
||||
y >>= 31; /* 1: yes; 0: no */
|
||||
|
||||
return y;
|
||||
}
|
||||
|
||||
static unsigned char negative(signed char b)
|
||||
{
|
||||
unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */
|
||||
|
||||
x >>= 63; /* 1: yes; 0: no */
|
||||
|
||||
return x;
|
||||
}
|
||||
|
||||
static 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));
|
||||
}
|
||||
|
||||
static void setneutral(ge25519 *r)
|
||||
{
|
||||
fe25519_setzero(&r->x);
|
||||
fe25519_setone(&r->y);
|
||||
fe25519_setone(&r->z);
|
||||
fe25519_setzero(&r->t);
|
||||
}
|
||||
|
||||
/* ********************************************************************
|
||||
* EXPORTED FUNCTIONS
|
||||
******************************************************************** */
|
||||
|
||||
/* return 0 on success, -1 otherwise */
|
||||
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;
|
||||
}
|
||||
|
||||
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;
|
||||
}
|
||||
|
||||
/* computes [s1]p1 + [s2]p2 */
|
||||
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];
|
||||
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 *)&pre[5]); 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);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
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);
|
||||
}
|
||||
}
|
||||
858
sxt/ge25519_base.data
Normal file
858
sxt/ge25519_base.data
Normal file
@ -0,0 +1,858 @@
|
||||
/* $OpenBSD: ge25519_base.data,v 1.3 2013/12/09 11:03:45 markus Exp $ */
|
||||
|
||||
/*
|
||||
* Public Domain, Authors: Daniel J. Bernstein, Niels Duif, Tanja Lange,
|
||||
* Peter Schwabe, Bo-Yin Yang.
|
||||
* Copied from supercop-20130419/crypto_sign/ed25519/ref/ge25519_base.data
|
||||
*/
|
||||
|
||||
{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
|
||||
{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
|
||||
{{{0x1a, 0xd5, 0x25, 0x8f, 0x60, 0x2d, 0x56, 0xc9, 0xb2, 0xa7, 0x25, 0x95, 0x60, 0xc7, 0x2c, 0x69, 0x5c, 0xdc, 0xd6, 0xfd, 0x31, 0xe2, 0xa4, 0xc0, 0xfe, 0x53, 0x6e, 0xcd, 0xd3, 0x36, 0x69, 0x21}} ,
|
||||
{{0x58, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66}}},
|
||||
{{{0x0e, 0xce, 0x43, 0x28, 0x4e, 0xa1, 0xc5, 0x83, 0x5f, 0xa4, 0xd7, 0x15, 0x45, 0x8e, 0x0d, 0x08, 0xac, 0xe7, 0x33, 0x18, 0x7d, 0x3b, 0x04, 0x3d, 0x6c, 0x04, 0x5a, 0x9f, 0x4c, 0x38, 0xab, 0x36}} ,
|
||||
{{0xc9, 0xa3, 0xf8, 0x6a, 0xae, 0x46, 0x5f, 0x0e, 0x56, 0x51, 0x38, 0x64, 0x51, 0x0f, 0x39, 0x97, 0x56, 0x1f, 0xa2, 0xc9, 0xe8, 0x5e, 0xa2, 0x1d, 0xc2, 0x29, 0x23, 0x09, 0xf3, 0xcd, 0x60, 0x22}}},
|
||||
{{{0x5c, 0xe2, 0xf8, 0xd3, 0x5f, 0x48, 0x62, 0xac, 0x86, 0x48, 0x62, 0x81, 0x19, 0x98, 0x43, 0x63, 0x3a, 0xc8, 0xda, 0x3e, 0x74, 0xae, 0xf4, 0x1f, 0x49, 0x8f, 0x92, 0x22, 0x4a, 0x9c, 0xae, 0x67}} ,
|
||||
{{0xd4, 0xb4, 0xf5, 0x78, 0x48, 0x68, 0xc3, 0x02, 0x04, 0x03, 0x24, 0x67, 0x17, 0xec, 0x16, 0x9f, 0xf7, 0x9e, 0x26, 0x60, 0x8e, 0xa1, 0x26, 0xa1, 0xab, 0x69, 0xee, 0x77, 0xd1, 0xb1, 0x67, 0x12}}},
|
||||
{{{0x70, 0xf8, 0xc9, 0xc4, 0x57, 0xa6, 0x3a, 0x49, 0x47, 0x15, 0xce, 0x93, 0xc1, 0x9e, 0x73, 0x1a, 0xf9, 0x20, 0x35, 0x7a, 0xb8, 0xd4, 0x25, 0x83, 0x46, 0xf1, 0xcf, 0x56, 0xdb, 0xa8, 0x3d, 0x20}} ,
|
||||
{{0x2f, 0x11, 0x32, 0xca, 0x61, 0xab, 0x38, 0xdf, 0xf0, 0x0f, 0x2f, 0xea, 0x32, 0x28, 0xf2, 0x4c, 0x6c, 0x71, 0xd5, 0x80, 0x85, 0xb8, 0x0e, 0x47, 0xe1, 0x95, 0x15, 0xcb, 0x27, 0xe8, 0xd0, 0x47}}},
|
||||
{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
|
||||
{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
|
||||
{{{0xc8, 0x84, 0xa5, 0x08, 0xbc, 0xfd, 0x87, 0x3b, 0x99, 0x8b, 0x69, 0x80, 0x7b, 0xc6, 0x3a, 0xeb, 0x93, 0xcf, 0x4e, 0xf8, 0x5c, 0x2d, 0x86, 0x42, 0xb6, 0x71, 0xd7, 0x97, 0x5f, 0xe1, 0x42, 0x67}} ,
|
||||
{{0xb4, 0xb9, 0x37, 0xfc, 0xa9, 0x5b, 0x2f, 0x1e, 0x93, 0xe4, 0x1e, 0x62, 0xfc, 0x3c, 0x78, 0x81, 0x8f, 0xf3, 0x8a, 0x66, 0x09, 0x6f, 0xad, 0x6e, 0x79, 0x73, 0xe5, 0xc9, 0x00, 0x06, 0xd3, 0x21}}},
|
||||
{{{0xf8, 0xf9, 0x28, 0x6c, 0x6d, 0x59, 0xb2, 0x59, 0x74, 0x23, 0xbf, 0xe7, 0x33, 0x8d, 0x57, 0x09, 0x91, 0x9c, 0x24, 0x08, 0x15, 0x2b, 0xe2, 0xb8, 0xee, 0x3a, 0xe5, 0x27, 0x06, 0x86, 0xa4, 0x23}} ,
|
||||
{{0xeb, 0x27, 0x67, 0xc1, 0x37, 0xab, 0x7a, 0xd8, 0x27, 0x9c, 0x07, 0x8e, 0xff, 0x11, 0x6a, 0xb0, 0x78, 0x6e, 0xad, 0x3a, 0x2e, 0x0f, 0x98, 0x9f, 0x72, 0xc3, 0x7f, 0x82, 0xf2, 0x96, 0x96, 0x70}}},
|
||||
{{{0x81, 0x6b, 0x88, 0xe8, 0x1e, 0xc7, 0x77, 0x96, 0x0e, 0xa1, 0xa9, 0x52, 0xe0, 0xd8, 0x0e, 0x61, 0x9e, 0x79, 0x2d, 0x95, 0x9c, 0x8d, 0x96, 0xe0, 0x06, 0x40, 0x5d, 0x87, 0x28, 0x5f, 0x98, 0x70}} ,
|
||||
{{0xf1, 0x79, 0x7b, 0xed, 0x4f, 0x44, 0xb2, 0xe7, 0x08, 0x0d, 0xc2, 0x08, 0x12, 0xd2, 0x9f, 0xdf, 0xcd, 0x93, 0x20, 0x8a, 0xcf, 0x33, 0xca, 0x6d, 0x89, 0xb9, 0x77, 0xc8, 0x93, 0x1b, 0x4e, 0x60}}},
|
||||
{{{0x26, 0x4f, 0x7e, 0x97, 0xf6, 0x40, 0xdd, 0x4f, 0xfc, 0x52, 0x78, 0xf9, 0x90, 0x31, 0x03, 0xe6, 0x7d, 0x56, 0x39, 0x0b, 0x1d, 0x56, 0x82, 0x85, 0xf9, 0x1a, 0x42, 0x17, 0x69, 0x6c, 0xcf, 0x39}} ,
|
||||
{{0x69, 0xd2, 0x06, 0x3a, 0x4f, 0x39, 0x2d, 0xf9, 0x38, 0x40, 0x8c, 0x4c, 0xe7, 0x05, 0x12, 0xb4, 0x78, 0x8b, 0xf8, 0xc0, 0xec, 0x93, 0xde, 0x7a, 0x6b, 0xce, 0x2c, 0xe1, 0x0e, 0xa9, 0x34, 0x44}}},
|
||||
{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
|
||||
{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
|
||||
{{{0x0b, 0xa4, 0x3c, 0xb0, 0x0f, 0x7a, 0x51, 0xf1, 0x78, 0xd6, 0xd9, 0x6a, 0xfd, 0x46, 0xe8, 0xb8, 0xa8, 0x79, 0x1d, 0x87, 0xf9, 0x90, 0xf2, 0x9c, 0x13, 0x29, 0xf8, 0x0b, 0x20, 0x64, 0xfa, 0x05}} ,
|
||||
{{0x26, 0x09, 0xda, 0x17, 0xaf, 0x95, 0xd6, 0xfb, 0x6a, 0x19, 0x0d, 0x6e, 0x5e, 0x12, 0xf1, 0x99, 0x4c, 0xaa, 0xa8, 0x6f, 0x79, 0x86, 0xf4, 0x72, 0x28, 0x00, 0x26, 0xf9, 0xea, 0x9e, 0x19, 0x3d}}},
|
||||
{{{0x87, 0xdd, 0xcf, 0xf0, 0x5b, 0x49, 0xa2, 0x5d, 0x40, 0x7a, 0x23, 0x26, 0xa4, 0x7a, 0x83, 0x8a, 0xb7, 0x8b, 0xd2, 0x1a, 0xbf, 0xea, 0x02, 0x24, 0x08, 0x5f, 0x7b, 0xa9, 0xb1, 0xbe, 0x9d, 0x37}} ,
|
||||
{{0xfc, 0x86, 0x4b, 0x08, 0xee, 0xe7, 0xa0, 0xfd, 0x21, 0x45, 0x09, 0x34, 0xc1, 0x61, 0x32, 0x23, 0xfc, 0x9b, 0x55, 0x48, 0x53, 0x99, 0xf7, 0x63, 0xd0, 0x99, 0xce, 0x01, 0xe0, 0x9f, 0xeb, 0x28}}},
|
||||
{{{0x47, 0xfc, 0xab, 0x5a, 0x17, 0xf0, 0x85, 0x56, 0x3a, 0x30, 0x86, 0x20, 0x28, 0x4b, 0x8e, 0x44, 0x74, 0x3a, 0x6e, 0x02, 0xf1, 0x32, 0x8f, 0x9f, 0x3f, 0x08, 0x35, 0xe9, 0xca, 0x16, 0x5f, 0x6e}} ,
|
||||
{{0x1c, 0x59, 0x1c, 0x65, 0x5d, 0x34, 0xa4, 0x09, 0xcd, 0x13, 0x9c, 0x70, 0x7d, 0xb1, 0x2a, 0xc5, 0x88, 0xaf, 0x0b, 0x60, 0xc7, 0x9f, 0x34, 0x8d, 0xd6, 0xb7, 0x7f, 0xea, 0x78, 0x65, 0x8d, 0x77}}},
|
||||
{{{0x56, 0xa5, 0xc2, 0x0c, 0xdd, 0xbc, 0xb8, 0x20, 0x6d, 0x57, 0x61, 0xb5, 0xfb, 0x78, 0xb5, 0xd4, 0x49, 0x54, 0x90, 0x26, 0xc1, 0xcb, 0xe9, 0xe6, 0xbf, 0xec, 0x1d, 0x4e, 0xed, 0x07, 0x7e, 0x5e}} ,
|
||||
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|
||||
{{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}}},
|
||||
{{{0x7b, 0x34, 0x24, 0x4c, 0xcf, 0x38, 0xe5, 0x6c, 0x0a, 0x01, 0x2c, 0x22, 0x0b, 0x24, 0x38, 0xad, 0x24, 0x7e, 0x19, 0xf0, 0x6c, 0xf9, 0x31, 0xf4, 0x35, 0x11, 0xf6, 0x46, 0x33, 0x3a, 0x23, 0x59}} ,
|
||||
{{0x20, 0x0b, 0xa1, 0x08, 0x19, 0xad, 0x39, 0x54, 0xea, 0x3e, 0x23, 0x09, 0xb6, 0xe2, 0xd2, 0xbc, 0x4d, 0xfc, 0x9c, 0xf0, 0x13, 0x16, 0x22, 0x3f, 0xb9, 0xd2, 0x11, 0x86, 0x90, 0x55, 0xce, 0x3c}}},
|
||||
{{{0xc4, 0x0b, 0x4b, 0x62, 0x99, 0x37, 0x84, 0x3f, 0x74, 0xa2, 0xf9, 0xce, 0xe2, 0x0b, 0x0f, 0x2a, 0x3d, 0xa3, 0xe3, 0xdb, 0x5a, 0x9d, 0x93, 0xcc, 0xa5, 0xef, 0x82, 0x91, 0x1d, 0xe6, 0x6c, 0x68}} ,
|
||||
{{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}},
|
||||
{{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}}},
|
||||
{{{0xc1, 0x56, 0x96, 0x91, 0x5f, 0x1f, 0xbb, 0x54, 0x6f, 0x88, 0x89, 0x0a, 0xb2, 0xd6, 0x41, 0x42, 0x6a, 0x82, 0xee, 0x14, 0xaa, 0x76, 0x30, 0x65, 0x0f, 0x67, 0x39, 0xa6, 0x51, 0x7c, 0x49, 0x24}} ,
|
||||
{{0x35, 0xa3, 0x78, 0xd1, 0x11, 0x0f, 0x75, 0xd3, 0x70, 0x46, 0xdb, 0x20, 0x51, 0xcb, 0x92, 0x80, 0x54, 0x10, 0x74, 0x36, 0x86, 0xa9, 0xd7, 0xa3, 0x08, 0x78, 0xf1, 0x01, 0x29, 0xf8, 0x80, 0x3b}}},
|
||||
{{{0xdb, 0xa7, 0x9d, 0x9d, 0xbf, 0xa0, 0xcc, 0xed, 0x53, 0xa2, 0xa2, 0x19, 0x39, 0x48, 0x83, 0x19, 0x37, 0x58, 0xd1, 0x04, 0x28, 0x40, 0xf7, 0x8a, 0xc2, 0x08, 0xb7, 0xa5, 0x42, 0xcf, 0x53, 0x4c}} ,
|
||||
{{0xa7, 0xbb, 0xf6, 0x8e, 0xad, 0xdd, 0xf7, 0x90, 0xdd, 0x5f, 0x93, 0x89, 0xae, 0x04, 0x37, 0xe6, 0x9a, 0xb7, 0xe8, 0xc0, 0xdf, 0x16, 0x2a, 0xbf, 0xc4, 0x3a, 0x3c, 0x41, 0xd5, 0x89, 0x72, 0x5a}}},
|
||||
{{{0x1f, 0x96, 0xff, 0x34, 0x2c, 0x13, 0x21, 0xcb, 0x0a, 0x89, 0x85, 0xbe, 0xb3, 0x70, 0x9e, 0x1e, 0xde, 0x97, 0xaf, 0x96, 0x30, 0xf7, 0x48, 0x89, 0x40, 0x8d, 0x07, 0xf1, 0x25, 0xf0, 0x30, 0x58}} ,
|
||||
{{0x1e, 0xd4, 0x93, 0x57, 0xe2, 0x17, 0xe7, 0x9d, 0xab, 0x3c, 0x55, 0x03, 0x82, 0x2f, 0x2b, 0xdb, 0x56, 0x1e, 0x30, 0x2e, 0x24, 0x47, 0x6e, 0xe6, 0xff, 0x33, 0x24, 0x2c, 0x75, 0x51, 0xd4, 0x67}}},
|
||||
{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
|
||||
{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
|
||||
{{{0x2b, 0x06, 0xd9, 0xa1, 0x5d, 0xe1, 0xf4, 0xd1, 0x1e, 0x3c, 0x9a, 0xc6, 0x29, 0x2b, 0x13, 0x13, 0x78, 0xc0, 0xd8, 0x16, 0x17, 0x2d, 0x9e, 0xa9, 0xc9, 0x79, 0x57, 0xab, 0x24, 0x91, 0x92, 0x19}} ,
|
||||
{{0x69, 0xfb, 0xa1, 0x9c, 0xa6, 0x75, 0x49, 0x7d, 0x60, 0x73, 0x40, 0x42, 0xc4, 0x13, 0x0a, 0x95, 0x79, 0x1e, 0x04, 0x83, 0x94, 0x99, 0x9b, 0x1e, 0x0c, 0xe8, 0x1f, 0x54, 0xef, 0xcb, 0xc0, 0x52}}},
|
||||
{{{0x14, 0x89, 0x73, 0xa1, 0x37, 0x87, 0x6a, 0x7a, 0xcf, 0x1d, 0xd9, 0x2e, 0x1a, 0x67, 0xed, 0x74, 0xc0, 0xf0, 0x9c, 0x33, 0xdd, 0xdf, 0x08, 0xbf, 0x7b, 0xd1, 0x66, 0xda, 0xe6, 0xc9, 0x49, 0x08}} ,
|
||||
{{0xe9, 0xdd, 0x5e, 0x55, 0xb0, 0x0a, 0xde, 0x21, 0x4c, 0x5a, 0x2e, 0xd4, 0x80, 0x3a, 0x57, 0x92, 0x7a, 0xf1, 0xc4, 0x2c, 0x40, 0xaf, 0x2f, 0xc9, 0x92, 0x03, 0xe5, 0x5a, 0xbc, 0xdc, 0xf4, 0x09}}},
|
||||
{{{0xf3, 0xe1, 0x2b, 0x7c, 0x05, 0x86, 0x80, 0x93, 0x4a, 0xad, 0xb4, 0x8f, 0x7e, 0x99, 0x0c, 0xfd, 0xcd, 0xef, 0xd1, 0xff, 0x2c, 0x69, 0x34, 0x13, 0x41, 0x64, 0xcf, 0x3b, 0xd0, 0x90, 0x09, 0x1e}} ,
|
||||
{{0x9d, 0x45, 0xd6, 0x80, 0xe6, 0x45, 0xaa, 0xf4, 0x15, 0xaa, 0x5c, 0x34, 0x87, 0x99, 0xa2, 0x8c, 0x26, 0x84, 0x62, 0x7d, 0xb6, 0x29, 0xc0, 0x52, 0xea, 0xf5, 0x81, 0x18, 0x0f, 0x35, 0xa9, 0x0e}}},
|
||||
{{{0xe7, 0x20, 0x72, 0x7c, 0x6d, 0x94, 0x5f, 0x52, 0x44, 0x54, 0xe3, 0xf1, 0xb2, 0xb0, 0x36, 0x46, 0x0f, 0xae, 0x92, 0xe8, 0x70, 0x9d, 0x6e, 0x79, 0xb1, 0xad, 0x37, 0xa9, 0x5f, 0xc0, 0xde, 0x03}} ,
|
||||
{{0x15, 0x55, 0x37, 0xc6, 0x1c, 0x27, 0x1c, 0x6d, 0x14, 0x4f, 0xca, 0xa4, 0xc4, 0x88, 0x25, 0x46, 0x39, 0xfc, 0x5a, 0xe5, 0xfe, 0x29, 0x11, 0x69, 0xf5, 0x72, 0x84, 0x4d, 0x78, 0x9f, 0x94, 0x15}}},
|
||||
{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
|
||||
{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
|
||||
{{{0xec, 0xd3, 0xff, 0x57, 0x0b, 0xb0, 0xb2, 0xdc, 0xf8, 0x4f, 0xe2, 0x12, 0xd5, 0x36, 0xbe, 0x6b, 0x09, 0x43, 0x6d, 0xa3, 0x4d, 0x90, 0x2d, 0xb8, 0x74, 0xe8, 0x71, 0x45, 0x19, 0x8b, 0x0c, 0x6a}} ,
|
||||
{{0xb8, 0x42, 0x1c, 0x03, 0xad, 0x2c, 0x03, 0x8e, 0xac, 0xd7, 0x98, 0x29, 0x13, 0xc6, 0x02, 0x29, 0xb5, 0xd4, 0xe7, 0xcf, 0xcc, 0x8b, 0x83, 0xec, 0x35, 0xc7, 0x9c, 0x74, 0xb7, 0xad, 0x85, 0x5f}}},
|
||||
{{{0x78, 0x84, 0xe1, 0x56, 0x45, 0x69, 0x68, 0x5a, 0x4f, 0xb8, 0xb1, 0x29, 0xff, 0x33, 0x03, 0x31, 0xb7, 0xcb, 0x96, 0x25, 0xe6, 0xe6, 0x41, 0x98, 0x1a, 0xbb, 0x03, 0x56, 0xf2, 0xb2, 0x91, 0x34}} ,
|
||||
{{0x2c, 0x6c, 0xf7, 0x66, 0xa4, 0x62, 0x6b, 0x39, 0xb3, 0xba, 0x65, 0xd3, 0x1c, 0xf8, 0x11, 0xaa, 0xbe, 0xdc, 0x80, 0x59, 0x87, 0xf5, 0x7b, 0xe5, 0xe3, 0xb3, 0x3e, 0x39, 0xda, 0xbe, 0x88, 0x09}}},
|
||||
{{{0x8b, 0xf1, 0xa0, 0xf5, 0xdc, 0x29, 0xb4, 0xe2, 0x07, 0xc6, 0x7a, 0x00, 0xd0, 0x89, 0x17, 0x51, 0xd4, 0xbb, 0xd4, 0x22, 0xea, 0x7e, 0x7d, 0x7c, 0x24, 0xea, 0xf2, 0xe8, 0x22, 0x12, 0x95, 0x06}} ,
|
||||
{{0xda, 0x7c, 0xa4, 0x0c, 0xf4, 0xba, 0x6e, 0xe1, 0x89, 0xb5, 0x59, 0xca, 0xf1, 0xc0, 0x29, 0x36, 0x09, 0x44, 0xe2, 0x7f, 0xd1, 0x63, 0x15, 0x99, 0xea, 0x25, 0xcf, 0x0c, 0x9d, 0xc0, 0x44, 0x6f}}},
|
||||
{{{0x1d, 0x86, 0x4e, 0xcf, 0xf7, 0x37, 0x10, 0x25, 0x8f, 0x12, 0xfb, 0x19, 0xfb, 0xe0, 0xed, 0x10, 0xc8, 0xe2, 0xf5, 0x75, 0xb1, 0x33, 0xc0, 0x96, 0x0d, 0xfb, 0x15, 0x6c, 0x0d, 0x07, 0x5f, 0x05}} ,
|
||||
{{0x69, 0x3e, 0x47, 0x97, 0x2c, 0xaf, 0x52, 0x7c, 0x78, 0x83, 0xad, 0x1b, 0x39, 0x82, 0x2f, 0x02, 0x6f, 0x47, 0xdb, 0x2a, 0xb0, 0xe1, 0x91, 0x99, 0x55, 0xb8, 0x99, 0x3a, 0xa0, 0x44, 0x11, 0x51}}}
|
||||
374
sxt/sc25519.c
Normal file
374
sxt/sc25519.c
Normal file
@ -0,0 +1,374 @@
|
||||
/*
|
||||
* Public Domain, Authors: Daniel J. Bernstein, Niels Duif, Tanja Lange,
|
||||
* Peter Schwabe, Bo-Yin Yang.
|
||||
* Copied from supercop-20130419/crypto_sign/ed25519/ref/sc25519.c
|
||||
*/
|
||||
|
||||
#include <stdint.h>
|
||||
|
||||
#include <sxt/sc25519.h>
|
||||
|
||||
/*Arithmetic modulo the group order m = 2^252 + 27742317777372353535851937790883648493 = 7237005577332262213973186563042994240857116359379907606001950938285454250989 */
|
||||
|
||||
static const uint32_t 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 uint32_t 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
|
||||
};
|
||||
|
||||
static uint32_t lt(uint32_t a,uint32_t 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;
|
||||
}
|
||||
|
||||
/* Reduce coefficients of r before calling reduce_add_sub */
|
||||
static void reduce_add_sub(sc25519 *r)
|
||||
{
|
||||
uint32_t pb = 0;
|
||||
uint32_t b;
|
||||
uint32_t 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 void barrett_reduce(sc25519 *r, const uint32_t x[64])
|
||||
{
|
||||
/* See HAC, Alg. 14.42 */
|
||||
int i,j;
|
||||
uint32_t q2[66];
|
||||
uint32_t *q3 = q2 + 33;
|
||||
uint32_t r1[33];
|
||||
uint32_t r2[33];
|
||||
uint32_t carry;
|
||||
uint32_t pb = 0;
|
||||
uint32_t 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);
|
||||
}
|
||||
|
||||
void sc25519_from32bytes(sc25519 *r, const unsigned char x[32])
|
||||
{
|
||||
int i;
|
||||
uint32_t 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);
|
||||
}
|
||||
|
||||
void shortsc25519_from16bytes(shortsc25519 *r, const unsigned char x[16])
|
||||
{
|
||||
int i;
|
||||
|
||||
for (i = 0; i < 16; i++) {
|
||||
r->v[i] = x[i];
|
||||
}
|
||||
}
|
||||
|
||||
void sc25519_from64bytes(sc25519 *r, const unsigned char x[64])
|
||||
{
|
||||
int i;
|
||||
uint32_t t[64];
|
||||
|
||||
for (i = 0; i < 64; i++) {
|
||||
t[i] = x[i];
|
||||
}
|
||||
|
||||
barrett_reduce(r, t);
|
||||
}
|
||||
|
||||
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;
|
||||
}
|
||||
}
|
||||
|
||||
void sc25519_to32bytes(unsigned char r[32], const sc25519 *x)
|
||||
{
|
||||
int i;
|
||||
|
||||
for (i = 0; i < 32; i++) {
|
||||
r[i] = x->v[i];
|
||||
}
|
||||
}
|
||||
|
||||
int sc25519_iszero_vartime(const sc25519 *x)
|
||||
{
|
||||
int i;
|
||||
|
||||
for (i = 0; i < 32; i++) {
|
||||
if(x->v[i] != 0) {
|
||||
return 0;
|
||||
}
|
||||
}
|
||||
|
||||
return 1;
|
||||
}
|
||||
|
||||
int sc25519_isshort_vartime(const sc25519 *x)
|
||||
{
|
||||
int i;
|
||||
|
||||
for (i = 31; i > 15; i--) {
|
||||
if (x->v[i] != 0) {
|
||||
return 0;
|
||||
}
|
||||
}
|
||||
|
||||
return 1;
|
||||
}
|
||||
|
||||
int sc25519_lt_vartime(const sc25519 *x, const sc25519 *y)
|
||||
{
|
||||
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;
|
||||
}
|
||||
|
||||
void sc25519_add(sc25519 *r, const sc25519 *x, const sc25519 *y)
|
||||
{
|
||||
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);
|
||||
}
|
||||
|
||||
void sc25519_sub_nored(sc25519 *r, const sc25519 *x, const sc25519 *y)
|
||||
{
|
||||
uint32_t b = 0;
|
||||
uint32_t 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;
|
||||
}
|
||||
}
|
||||
|
||||
void sc25519_mul(sc25519 *r, const sc25519 *x, const sc25519 *y)
|
||||
{
|
||||
int i,j,carry;
|
||||
uint32_t 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];
|
||||
}
|
||||
}
|
||||
|
||||
/* Reduce coefficients */
|
||||
for (i = 0; i < 63; i++) {
|
||||
carry = t[i] >> 8;
|
||||
t[i+1] += carry;
|
||||
t[i] &= 0xff;
|
||||
}
|
||||
|
||||
barrett_reduce(r, t);
|
||||
}
|
||||
|
||||
void sc25519_mul_shortsc(sc25519 *r, const sc25519 *x, const shortsc25519 *y)
|
||||
{
|
||||
sc25519 t;
|
||||
sc25519_from_shortsc(&t, y);
|
||||
sc25519_mul(r, x, &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;
|
||||
}
|
||||
|
||||
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;
|
||||
}
|
||||
|
||||
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);
|
||||
}
|
||||
Loading…
x
Reference in New Issue
Block a user