| 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366 | /* * Copyright 2011-2018 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 <openssl/symhacks.h>#include "ec_lcl.h"int ec_GFp_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 *tmp1, *tmp2, *x, *y;    int ret = 0;    /* 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);    BN_CTX_start(ctx);    tmp1 = BN_CTX_get(ctx);    tmp2 = BN_CTX_get(ctx);    x = BN_CTX_get(ctx);    y = BN_CTX_get(ctx);    if (y == NULL)        goto err;    /*-     * Recover y.  We have a Weierstrass equation     *     y^2 = x^3 + a*x + b,     * so  y  is one of the square roots of  x^3 + a*x + b.     */    /* tmp1 := x^3 */    if (!BN_nnmod(x, x_, group->field, ctx))        goto err;    if (group->meth->field_decode == 0) {        /* field_{sqr,mul} work on standard representation */        if (!group->meth->field_sqr(group, tmp2, x_, ctx))            goto err;        if (!group->meth->field_mul(group, tmp1, tmp2, x_, ctx))            goto err;    } else {        if (!BN_mod_sqr(tmp2, x_, group->field, ctx))            goto err;        if (!BN_mod_mul(tmp1, tmp2, x_, group->field, ctx))            goto err;    }    /* tmp1 := tmp1 + a*x */    if (group->a_is_minus3) {        if (!BN_mod_lshift1_quick(tmp2, x, group->field))            goto err;        if (!BN_mod_add_quick(tmp2, tmp2, x, group->field))            goto err;        if (!BN_mod_sub_quick(tmp1, tmp1, tmp2, group->field))            goto err;    } else {        if (group->meth->field_decode) {            if (!group->meth->field_decode(group, tmp2, group->a, ctx))                goto err;            if (!BN_mod_mul(tmp2, tmp2, x, group->field, ctx))                goto err;        } else {            /* field_mul works on standard representation */            if (!group->meth->field_mul(group, tmp2, group->a, x, ctx))                goto err;        }        if (!BN_mod_add_quick(tmp1, tmp1, tmp2, group->field))            goto err;    }    /* tmp1 := tmp1 + b */    if (group->meth->field_decode) {        if (!group->meth->field_decode(group, tmp2, group->b, ctx))            goto err;        if (!BN_mod_add_quick(tmp1, tmp1, tmp2, group->field))            goto err;    } else {        if (!BN_mod_add_quick(tmp1, tmp1, group->b, group->field))            goto err;    }    if (!BN_mod_sqrt(y, tmp1, group->field, ctx)) {        unsigned long err = ERR_peek_last_error();        if (ERR_GET_LIB(err) == ERR_LIB_BN            && ERR_GET_REASON(err) == BN_R_NOT_A_SQUARE) {            ERR_clear_error();            ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES,                  EC_R_INVALID_COMPRESSED_POINT);        } else            ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES,                  ERR_R_BN_LIB);        goto err;    }    if (y_bit != BN_is_odd(y)) {        if (BN_is_zero(y)) {            int kron;            kron = BN_kronecker(x, group->field, ctx);            if (kron == -2)                goto err;            if (kron == 1)                ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES,                      EC_R_INVALID_COMPRESSION_BIT);            else                /*                 * BN_mod_sqrt() should have caught this error (not a square)                 */                ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES,                      EC_R_INVALID_COMPRESSED_POINT);            goto err;        }        if (!BN_usub(y, group->field, y))            goto err;    }    if (y_bit != BN_is_odd(y)) {        ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES,              ERR_R_INTERNAL_ERROR);        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;}size_t ec_GFp_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;    size_t field_len, i, skip;    if ((form != POINT_CONVERSION_COMPRESSED)        && (form != POINT_CONVERSION_UNCOMPRESSED)        && (form != POINT_CONVERSION_HYBRID)) {        ECerr(EC_F_EC_GFP_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_GFP_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);                return 0;            }            buf[0] = 0;        }        return 1;    }    /* ret := required output buffer length */    field_len = BN_num_bytes(group->field);    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_GFP_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);        if (y == NULL)            goto err;        if (!EC_POINT_get_affine_coordinates(group, point, x, y, ctx))            goto err;        if ((form == POINT_CONVERSION_COMPRESSED             || form == POINT_CONVERSION_HYBRID) && BN_is_odd(y))            buf[0] = form + 1;        else            buf[0] = form;        i = 1;        skip = field_len - BN_num_bytes(x);        if (skip > field_len) {            ECerr(EC_F_EC_GFP_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_GFP_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_GFP_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_GFP_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;}int ec_GFp_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;    BN_CTX *new_ctx = NULL;    BIGNUM *x, *y;    size_t field_len, enc_len;    int ret = 0;    if (len == 0) {        ECerr(EC_F_EC_GFP_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_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);        return 0;    }    if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) {        ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);        return 0;    }    if (form == 0) {        if (len != 1) {            ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);            return 0;        }        return EC_POINT_set_to_infinity(group, point);    }    field_len = BN_num_bytes(group->field);    enc_len =        (form ==         POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;    if (len != enc_len) {        ECerr(EC_F_EC_GFP_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);    if (y == NULL)        goto err;    if (!BN_bin2bn(buf + 1, field_len, x))        goto err;    if (BN_ucmp(x, group->field) >= 0) {        ECerr(EC_F_EC_GFP_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_ucmp(y, group->field) >= 0) {            ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);            goto err;        }        if (form == POINT_CONVERSION_HYBRID) {            if (y_bit != BN_is_odd(y)) {                ECerr(EC_F_EC_GFP_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;}
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