/* ecc-misc.c - Elliptic Curve miscellaneous functions * Copyright (C) 2007, 2008, 2010, 2011 Free Software Foundation, Inc. * Copyright (C) 2013 g10 Code GmbH * * This file is part of Libgcrypt. * * Libgcrypt is free software; you can redistribute it and/or modify * it under the terms of the GNU Lesser General Public License as * published by the Free Software Foundation; either version 2.1 of * the License, or (at your option) any later version. * * Libgcrypt is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public * License along with this program; if not, see . */ #include #include #include #include #include #include "g10lib.h" #include "mpi.h" #include "cipher.h" #include "context.h" #include "ec-context.h" #include "ecc-common.h" /* * Release a curve object. */ void _gcry_ecc_curve_free (elliptic_curve_t *E) { mpi_free (E->p); E->p = NULL; mpi_free (E->a); E->a = NULL; mpi_free (E->b); E->b = NULL; _gcry_mpi_point_free_parts (&E->G); mpi_free (E->n); E->n = NULL; mpi_free (E->h); E->h = NULL; } /* * Return a copy of a curve object. */ elliptic_curve_t _gcry_ecc_curve_copy (elliptic_curve_t E) { elliptic_curve_t R; R.model = E.model; R.dialect = E.dialect; R.name = E.name; R.p = mpi_copy (E.p); R.a = mpi_copy (E.a); R.b = mpi_copy (E.b); _gcry_mpi_point_init (&R.G); point_set (&R.G, &E.G); R.n = mpi_copy (E.n); R.h = mpi_copy (E.h); return R; } /* * Return a description of the curve model. */ const char * _gcry_ecc_model2str (enum gcry_mpi_ec_models model) { const char *str = "?"; switch (model) { case MPI_EC_WEIERSTRASS: str = "Weierstrass"; break; case MPI_EC_MONTGOMERY: str = "Montgomery"; break; case MPI_EC_EDWARDS: str = "Edwards"; break; } return str; } /* * Return a description of the curve dialect. */ const char * _gcry_ecc_dialect2str (enum ecc_dialects dialect) { const char *str = "?"; switch (dialect) { case ECC_DIALECT_STANDARD: str = "Standard"; break; case ECC_DIALECT_ED25519: str = "Ed25519"; break; } return str; } gcry_mpi_t _gcry_ecc_ec2os (gcry_mpi_t x, gcry_mpi_t y, gcry_mpi_t p) { gpg_err_code_t rc; int pbytes = (mpi_get_nbits (p)+7)/8; size_t n; unsigned char *buf, *ptr; gcry_mpi_t result; buf = xmalloc ( 1 + 2*pbytes ); *buf = 04; /* Uncompressed point. */ ptr = buf+1; rc = _gcry_mpi_print (GCRYMPI_FMT_USG, ptr, pbytes, &n, x); if (rc) log_fatal ("mpi_print failed: %s\n", gpg_strerror (rc)); if (n < pbytes) { memmove (ptr+(pbytes-n), ptr, n); memset (ptr, 0, (pbytes-n)); } ptr += pbytes; rc = _gcry_mpi_print (GCRYMPI_FMT_USG, ptr, pbytes, &n, y); if (rc) log_fatal ("mpi_print failed: %s\n", gpg_strerror (rc)); if (n < pbytes) { memmove (ptr+(pbytes-n), ptr, n); memset (ptr, 0, (pbytes-n)); } rc = _gcry_mpi_scan (&result, GCRYMPI_FMT_USG, buf, 1+2*pbytes, NULL); if (rc) log_fatal ("mpi_scan failed: %s\n", gpg_strerror (rc)); xfree (buf); return result; } /* Convert POINT into affine coordinates using the context CTX and return a newly allocated MPI. If the conversion is not possible NULL is returned. This function won't print an error message. */ gcry_mpi_t _gcry_mpi_ec_ec2os (gcry_mpi_point_t point, mpi_ec_t ectx) { gcry_mpi_t g_x, g_y, result; g_x = mpi_new (0); g_y = mpi_new (0); if (_gcry_mpi_ec_get_affine (g_x, g_y, point, ectx)) result = NULL; else result = _gcry_ecc_ec2os (g_x, g_y, ectx->p); mpi_free (g_x); mpi_free (g_y); return result; } /* RESULT must have been initialized and is set on success to the point given by VALUE. */ gcry_err_code_t _gcry_ecc_os2ec (mpi_point_t result, gcry_mpi_t value) { gcry_err_code_t rc; size_t n; const unsigned char *buf; unsigned char *buf_memory; gcry_mpi_t x, y; if (mpi_is_opaque (value)) { unsigned int nbits; buf = mpi_get_opaque (value, &nbits); if (!buf) return GPG_ERR_INV_OBJ; n = (nbits + 7)/8; buf_memory = NULL; } else { n = (mpi_get_nbits (value)+7)/8; buf_memory = xmalloc (n); rc = _gcry_mpi_print (GCRYMPI_FMT_USG, buf_memory, n, &n, value); if (rc) { xfree (buf_memory); return rc; } buf = buf_memory; } if (n < 1) { xfree (buf_memory); return GPG_ERR_INV_OBJ; } if (*buf != 4) { xfree (buf_memory); return GPG_ERR_NOT_IMPLEMENTED; /* No support for point compression. */ } if ( ((n-1)%2) ) { xfree (buf_memory); return GPG_ERR_INV_OBJ; } n = (n-1)/2; rc = _gcry_mpi_scan (&x, GCRYMPI_FMT_USG, buf+1, n, NULL); if (rc) { xfree (buf_memory); return rc; } rc = _gcry_mpi_scan (&y, GCRYMPI_FMT_USG, buf+1+n, n, NULL); xfree (buf_memory); if (rc) { mpi_free (x); return rc; } mpi_set (result->x, x); mpi_set (result->y, y); mpi_set_ui (result->z, 1); mpi_free (x); mpi_free (y); return 0; } /* Compute the public key from the the context EC. Obviously a requirement is that the secret key is available in EC. On success Q is returned; on error NULL. If Q is NULL a newly allocated point is returned. If G or D are given they override the values taken from EC. */ mpi_point_t _gcry_ecc_compute_public (mpi_point_t Q, mpi_ec_t ec, mpi_point_t G, gcry_mpi_t d) { if (!G) G = ec->G; if (!d) d = ec->d; if (!d || !G || !ec->p || !ec->a) return NULL; if (ec->model == MPI_EC_EDWARDS && !ec->b) return NULL; if (ec->dialect == ECC_DIALECT_ED25519 && (ec->flags & PUBKEY_FLAG_EDDSA)) { gcry_mpi_t a; unsigned char *digest; if (_gcry_ecc_eddsa_compute_h_d (&digest, d, ec)) return NULL; a = mpi_snew (0); _gcry_mpi_set_buffer (a, digest, 32, 0); xfree (digest); /* And finally the public key. */ if (!Q) Q = mpi_point_new (0); if (Q) _gcry_mpi_ec_mul_point (Q, a, G, ec); mpi_free (a); } else { if (!Q) Q = mpi_point_new (0); if (Q) _gcry_mpi_ec_mul_point (Q, d, G, ec); } return Q; } gpg_err_code_t _gcry_ecc_mont_decodepoint (gcry_mpi_t pk, mpi_ec_t ctx, mpi_point_t result) { unsigned char *rawmpi; unsigned int rawmpilen; if (mpi_is_opaque (pk)) { const unsigned char *buf; unsigned char *p; buf = mpi_get_opaque (pk, &rawmpilen); if (!buf) return GPG_ERR_INV_OBJ; rawmpilen = (rawmpilen + 7)/8; if (rawmpilen > 1 && (rawmpilen%2) && buf[0] == 0x40) { rawmpilen--; buf++; } rawmpi = xtrymalloc (rawmpilen? rawmpilen:1); if (!rawmpi) return gpg_err_code_from_syserror (); p = rawmpi + rawmpilen; while (p > rawmpi) *--p = *buf++; } else { unsigned int nbytes = (ctx->nbits+7)/8; rawmpi = _gcry_mpi_get_buffer (pk, nbytes, &rawmpilen, NULL); if (!rawmpi) return gpg_err_code_from_syserror (); /* * It is not reliable to assume that 0x40 means the prefix. * * For newer implementation, it is reliable since we always put * 0x40 for x-only coordinate. * * For data with older implementation (non-released development * version), it is possible to have the 0x40 as a part of data. * Besides, when data was parsed as MPI, we might have 0x00 * prefix. * * So, we need to check if it's really the prefix or not. * Only when it's the prefix, we remove it. */ /* * It is possible for data created by older implementation to * have shorter length when it was parsed as MPI. Those removed * zero(s) are recovered by _gcry_mpi_get_buffer. */ /* * When we have the prefix (0x40 or 0x00), it comes at the end, * since it is taken by _gcry_mpi_get_buffer with little endian. * Just setting RAWMPILEN to NBYTES is enough in this case. * Othewise, RAWMPILEN is NBYTES already. */ rawmpilen = nbytes; } rawmpi[0] &= (1 << (ctx->nbits % 8)) - 1; _gcry_mpi_set_buffer (result->x, rawmpi, rawmpilen, 0); xfree (rawmpi); mpi_set_ui (result->z, 1); return 0; }