| 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338 | /* * Copyright 2011-2019 The OpenSSL Project Authors. All Rights Reserved. * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved * * Licensed under the OpenSSL license (the "License").  You may not use * this file except in compliance with the License.  You can obtain a copy * in the file LICENSE in the source distribution or at * https://www.openssl.org/source/license.html */#include <openssl/err.h>#include "ec_lcl.h"#ifndef OPENSSL_NO_EC2M/*- * Calculates and sets the affine coordinates of an EC_POINT from the given * compressed coordinates.  Uses algorithm 2.3.4 of SEC 1. * Note that the simple implementation only uses affine coordinates. * * The method is from the following publication: * *     Harper, Menezes, Vanstone: *     "Public-Key Cryptosystems with Very Small Key Lengths", *     EUROCRYPT '92, Springer-Verlag LNCS 658, *     published February 1993 * * US Patents 6,141,420 and 6,618,483 (Vanstone, Mullin, Agnew) describe * the same method, but claim no priority date earlier than July 29, 1994 * (and additionally fail to cite the EUROCRYPT '92 publication as prior art). */int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *group,                                              EC_POINT *point,                                              const BIGNUM *x_, int y_bit,                                              BN_CTX *ctx){    BN_CTX *new_ctx = NULL;    BIGNUM *tmp, *x, *y, *z;    int ret = 0, z0;    /* clear error queue */    ERR_clear_error();    if (ctx == NULL) {        ctx = new_ctx = BN_CTX_new();        if (ctx == NULL)            return 0;    }    y_bit = (y_bit != 0) ? 1 : 0;    BN_CTX_start(ctx);    tmp = BN_CTX_get(ctx);    x = BN_CTX_get(ctx);    y = BN_CTX_get(ctx);    z = BN_CTX_get(ctx);    if (z == NULL)        goto err;    if (!BN_GF2m_mod_arr(x, x_, group->poly))        goto err;    if (BN_is_zero(x)) {        if (!BN_GF2m_mod_sqrt_arr(y, group->b, group->poly, ctx))            goto err;    } else {        if (!group->meth->field_sqr(group, tmp, x, ctx))            goto err;        if (!group->meth->field_div(group, tmp, group->b, tmp, ctx))            goto err;        if (!BN_GF2m_add(tmp, group->a, tmp))            goto err;        if (!BN_GF2m_add(tmp, x, tmp))            goto err;        if (!BN_GF2m_mod_solve_quad_arr(z, tmp, group->poly, ctx)) {            unsigned long err = ERR_peek_last_error();            if (ERR_GET_LIB(err) == ERR_LIB_BN                && ERR_GET_REASON(err) == BN_R_NO_SOLUTION) {                ERR_clear_error();                ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES,                      EC_R_INVALID_COMPRESSED_POINT);            } else                ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES,                      ERR_R_BN_LIB);            goto err;        }        z0 = (BN_is_odd(z)) ? 1 : 0;        if (!group->meth->field_mul(group, y, x, z, ctx))            goto err;        if (z0 != y_bit) {            if (!BN_GF2m_add(y, y, x))                goto err;        }    }    if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))        goto err;    ret = 1; err:    BN_CTX_end(ctx);    BN_CTX_free(new_ctx);    return ret;}/* * Converts an EC_POINT to an octet string. If buf is NULL, the encoded * length will be returned. If the length len of buf is smaller than required * an error will be returned. */size_t ec_GF2m_simple_point2oct(const EC_GROUP *group, const EC_POINT *point,                                point_conversion_form_t form,                                unsigned char *buf, size_t len, BN_CTX *ctx){    size_t ret;    BN_CTX *new_ctx = NULL;    int used_ctx = 0;    BIGNUM *x, *y, *yxi;    size_t field_len, i, skip;    if ((form != POINT_CONVERSION_COMPRESSED)        && (form != POINT_CONVERSION_UNCOMPRESSED)        && (form != POINT_CONVERSION_HYBRID)) {        ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_INVALID_FORM);        goto err;    }    if (EC_POINT_is_at_infinity(group, point)) {        /* encodes to a single 0 octet */        if (buf != NULL) {            if (len < 1) {                ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);                return 0;            }            buf[0] = 0;        }        return 1;    }    /* ret := required output buffer length */    field_len = (EC_GROUP_get_degree(group) + 7) / 8;    ret =        (form ==         POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;    /* if 'buf' is NULL, just return required length */    if (buf != NULL) {        if (len < ret) {            ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);            goto err;        }        if (ctx == NULL) {            ctx = new_ctx = BN_CTX_new();            if (ctx == NULL)                return 0;        }        BN_CTX_start(ctx);        used_ctx = 1;        x = BN_CTX_get(ctx);        y = BN_CTX_get(ctx);        yxi = BN_CTX_get(ctx);        if (yxi == NULL)            goto err;        if (!EC_POINT_get_affine_coordinates(group, point, x, y, ctx))            goto err;        buf[0] = form;        if ((form != POINT_CONVERSION_UNCOMPRESSED) && !BN_is_zero(x)) {            if (!group->meth->field_div(group, yxi, y, x, ctx))                goto err;            if (BN_is_odd(yxi))                buf[0]++;        }        i = 1;        skip = field_len - BN_num_bytes(x);        if (skip > field_len) {            ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);            goto err;        }        while (skip > 0) {            buf[i++] = 0;            skip--;        }        skip = BN_bn2bin(x, buf + i);        i += skip;        if (i != 1 + field_len) {            ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);            goto err;        }        if (form == POINT_CONVERSION_UNCOMPRESSED            || form == POINT_CONVERSION_HYBRID) {            skip = field_len - BN_num_bytes(y);            if (skip > field_len) {                ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);                goto err;            }            while (skip > 0) {                buf[i++] = 0;                skip--;            }            skip = BN_bn2bin(y, buf + i);            i += skip;        }        if (i != ret) {            ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);            goto err;        }    }    if (used_ctx)        BN_CTX_end(ctx);    BN_CTX_free(new_ctx);    return ret; err:    if (used_ctx)        BN_CTX_end(ctx);    BN_CTX_free(new_ctx);    return 0;}/* * Converts an octet string representation to an EC_POINT. Note that the * simple implementation only uses affine coordinates. */int ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point,                             const unsigned char *buf, size_t len,                             BN_CTX *ctx){    point_conversion_form_t form;    int y_bit, m;    BN_CTX *new_ctx = NULL;    BIGNUM *x, *y, *yxi;    size_t field_len, enc_len;    int ret = 0;    if (len == 0) {        ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL);        return 0;    }    form = buf[0];    y_bit = form & 1;    form = form & ~1U;    if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED)        && (form != POINT_CONVERSION_UNCOMPRESSED)        && (form != POINT_CONVERSION_HYBRID)) {        ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);        return 0;    }    if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) {        ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);        return 0;    }    if (form == 0) {        if (len != 1) {            ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);            return 0;        }        return EC_POINT_set_to_infinity(group, point);    }    m = EC_GROUP_get_degree(group);    field_len = (m + 7) / 8;    enc_len =        (form ==         POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;    if (len != enc_len) {        ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);        return 0;    }    if (ctx == NULL) {        ctx = new_ctx = BN_CTX_new();        if (ctx == NULL)            return 0;    }    BN_CTX_start(ctx);    x = BN_CTX_get(ctx);    y = BN_CTX_get(ctx);    yxi = BN_CTX_get(ctx);    if (yxi == NULL)        goto err;    if (!BN_bin2bn(buf + 1, field_len, x))        goto err;    if (BN_num_bits(x) > m) {        ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);        goto err;    }    if (form == POINT_CONVERSION_COMPRESSED) {        if (!EC_POINT_set_compressed_coordinates(group, point, x, y_bit, ctx))            goto err;    } else {        if (!BN_bin2bn(buf + 1 + field_len, field_len, y))            goto err;        if (BN_num_bits(y) > m) {            ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);            goto err;        }        if (form == POINT_CONVERSION_HYBRID) {            if (!group->meth->field_div(group, yxi, y, x, ctx))                goto err;            if (y_bit != BN_is_odd(yxi)) {                ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);                goto err;            }        }        /*         * EC_POINT_set_affine_coordinates is responsible for checking that         * the point is on the curve.         */        if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))            goto err;    }    ret = 1; err:    BN_CTX_end(ctx);    BN_CTX_free(new_ctx);    return ret;}#endif
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