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- /*
- * 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_local.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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