1  | 
     | 
     | 
    /* $OpenBSD: ecp_nist.c,v 1.10 2017/01/29 17:49:23 beck Exp $ */  | 
    
    
    2  | 
     | 
     | 
    /*  | 
    
    
    3  | 
     | 
     | 
     * Written by Nils Larsch for the OpenSSL project.  | 
    
    
    4  | 
     | 
     | 
     */  | 
    
    
    5  | 
     | 
     | 
    /* ====================================================================  | 
    
    
    6  | 
     | 
     | 
     * Copyright (c) 1998-2003 The OpenSSL Project.  All rights reserved.  | 
    
    
    7  | 
     | 
     | 
     *  | 
    
    
    8  | 
     | 
     | 
     * Redistribution and use in source and binary forms, with or without  | 
    
    
    9  | 
     | 
     | 
     * modification, are permitted provided that the following conditions  | 
    
    
    10  | 
     | 
     | 
     * are met:  | 
    
    
    11  | 
     | 
     | 
     *  | 
    
    
    12  | 
     | 
     | 
     * 1. Redistributions of source code must retain the above copyright  | 
    
    
    13  | 
     | 
     | 
     *    notice, this list of conditions and the following disclaimer.  | 
    
    
    14  | 
     | 
     | 
     *  | 
    
    
    15  | 
     | 
     | 
     * 2. Redistributions in binary form must reproduce the above copyright  | 
    
    
    16  | 
     | 
     | 
     *    notice, this list of conditions and the following disclaimer in  | 
    
    
    17  | 
     | 
     | 
     *    the documentation and/or other materials provided with the  | 
    
    
    18  | 
     | 
     | 
     *    distribution.  | 
    
    
    19  | 
     | 
     | 
     *  | 
    
    
    20  | 
     | 
     | 
     * 3. All advertising materials mentioning features or use of this  | 
    
    
    21  | 
     | 
     | 
     *    software must display the following acknowledgment:  | 
    
    
    22  | 
     | 
     | 
     *    "This product includes software developed by the OpenSSL Project  | 
    
    
    23  | 
     | 
     | 
     *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"  | 
    
    
    24  | 
     | 
     | 
     *  | 
    
    
    25  | 
     | 
     | 
     * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to  | 
    
    
    26  | 
     | 
     | 
     *    endorse or promote products derived from this software without  | 
    
    
    27  | 
     | 
     | 
     *    prior written permission. For written permission, please contact  | 
    
    
    28  | 
     | 
     | 
     *    openssl-core@openssl.org.  | 
    
    
    29  | 
     | 
     | 
     *  | 
    
    
    30  | 
     | 
     | 
     * 5. Products derived from this software may not be called "OpenSSL"  | 
    
    
    31  | 
     | 
     | 
     *    nor may "OpenSSL" appear in their names without prior written  | 
    
    
    32  | 
     | 
     | 
     *    permission of the OpenSSL Project.  | 
    
    
    33  | 
     | 
     | 
     *  | 
    
    
    34  | 
     | 
     | 
     * 6. Redistributions of any form whatsoever must retain the following  | 
    
    
    35  | 
     | 
     | 
     *    acknowledgment:  | 
    
    
    36  | 
     | 
     | 
     *    "This product includes software developed by the OpenSSL Project  | 
    
    
    37  | 
     | 
     | 
     *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"  | 
    
    
    38  | 
     | 
     | 
     *  | 
    
    
    39  | 
     | 
     | 
     * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY  | 
    
    
    40  | 
     | 
     | 
     * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE  | 
    
    
    41  | 
     | 
     | 
     * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR  | 
    
    
    42  | 
     | 
     | 
     * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR  | 
    
    
    43  | 
     | 
     | 
     * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,  | 
    
    
    44  | 
     | 
     | 
     * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT  | 
    
    
    45  | 
     | 
     | 
     * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;  | 
    
    
    46  | 
     | 
     | 
     * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)  | 
    
    
    47  | 
     | 
     | 
     * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,  | 
    
    
    48  | 
     | 
     | 
     * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)  | 
    
    
    49  | 
     | 
     | 
     * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED  | 
    
    
    50  | 
     | 
     | 
     * OF THE POSSIBILITY OF SUCH DAMAGE.  | 
    
    
    51  | 
     | 
     | 
     * ====================================================================  | 
    
    
    52  | 
     | 
     | 
     *  | 
    
    
    53  | 
     | 
     | 
     * This product includes cryptographic software written by Eric Young  | 
    
    
    54  | 
     | 
     | 
     * (eay@cryptsoft.com).  This product includes software written by Tim  | 
    
    
    55  | 
     | 
     | 
     * Hudson (tjh@cryptsoft.com).  | 
    
    
    56  | 
     | 
     | 
     *  | 
    
    
    57  | 
     | 
     | 
     */  | 
    
    
    58  | 
     | 
     | 
    /* ====================================================================  | 
    
    
    59  | 
     | 
     | 
     * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.  | 
    
    
    60  | 
     | 
     | 
     * Portions of this software developed by SUN MICROSYSTEMS, INC.,  | 
    
    
    61  | 
     | 
     | 
     * and contributed to the OpenSSL project.  | 
    
    
    62  | 
     | 
     | 
     */  | 
    
    
    63  | 
     | 
     | 
     | 
    
    
    64  | 
     | 
     | 
    #include <limits.h>  | 
    
    
    65  | 
     | 
     | 
     | 
    
    
    66  | 
     | 
     | 
    #include <openssl/err.h>  | 
    
    
    67  | 
     | 
     | 
    #include <openssl/obj_mac.h>  | 
    
    
    68  | 
     | 
     | 
    #include "ec_lcl.h"  | 
    
    
    69  | 
     | 
     | 
     | 
    
    
    70  | 
     | 
     | 
    const EC_METHOD *  | 
    
    
    71  | 
     | 
     | 
    EC_GFp_nist_method(void)  | 
    
    
    72  | 
     | 
     | 
    { | 
    
    
    73  | 
     | 
     | 
    	static const EC_METHOD ret = { | 
    
    
    74  | 
     | 
     | 
    		.flags = EC_FLAGS_DEFAULT_OCT,  | 
    
    
    75  | 
     | 
     | 
    		.field_type = NID_X9_62_prime_field,  | 
    
    
    76  | 
     | 
     | 
    		.group_init = ec_GFp_simple_group_init,  | 
    
    
    77  | 
     | 
     | 
    		.group_finish = ec_GFp_simple_group_finish,  | 
    
    
    78  | 
     | 
     | 
    		.group_clear_finish = ec_GFp_simple_group_clear_finish,  | 
    
    
    79  | 
     | 
     | 
    		.group_copy = ec_GFp_nist_group_copy,  | 
    
    
    80  | 
     | 
     | 
    		.group_set_curve = ec_GFp_nist_group_set_curve,  | 
    
    
    81  | 
     | 
     | 
    		.group_get_curve = ec_GFp_simple_group_get_curve,  | 
    
    
    82  | 
     | 
     | 
    		.group_get_degree = ec_GFp_simple_group_get_degree,  | 
    
    
    83  | 
     | 
     | 
    		.group_check_discriminant =  | 
    
    
    84  | 
     | 
     | 
    		ec_GFp_simple_group_check_discriminant,  | 
    
    
    85  | 
     | 
     | 
    		.point_init = ec_GFp_simple_point_init,  | 
    
    
    86  | 
     | 
     | 
    		.point_finish = ec_GFp_simple_point_finish,  | 
    
    
    87  | 
     | 
     | 
    		.point_clear_finish = ec_GFp_simple_point_clear_finish,  | 
    
    
    88  | 
     | 
     | 
    		.point_copy = ec_GFp_simple_point_copy,  | 
    
    
    89  | 
     | 
     | 
    		.point_set_to_infinity = ec_GFp_simple_point_set_to_infinity,  | 
    
    
    90  | 
     | 
     | 
    		.point_set_Jprojective_coordinates_GFp =  | 
    
    
    91  | 
     | 
     | 
    		ec_GFp_simple_set_Jprojective_coordinates_GFp,  | 
    
    
    92  | 
     | 
     | 
    		.point_get_Jprojective_coordinates_GFp =  | 
    
    
    93  | 
     | 
     | 
    		ec_GFp_simple_get_Jprojective_coordinates_GFp,  | 
    
    
    94  | 
     | 
     | 
    		.point_set_affine_coordinates =  | 
    
    
    95  | 
     | 
     | 
    		ec_GFp_simple_point_set_affine_coordinates,  | 
    
    
    96  | 
     | 
     | 
    		.point_get_affine_coordinates =  | 
    
    
    97  | 
     | 
     | 
    		ec_GFp_simple_point_get_affine_coordinates,  | 
    
    
    98  | 
     | 
     | 
    		.add = ec_GFp_simple_add,  | 
    
    
    99  | 
     | 
     | 
    		.dbl = ec_GFp_simple_dbl,  | 
    
    
    100  | 
     | 
     | 
    		.invert = ec_GFp_simple_invert,  | 
    
    
    101  | 
     | 
     | 
    		.is_at_infinity = ec_GFp_simple_is_at_infinity,  | 
    
    
    102  | 
     | 
     | 
    		.is_on_curve = ec_GFp_simple_is_on_curve,  | 
    
    
    103  | 
     | 
     | 
    		.point_cmp = ec_GFp_simple_cmp,  | 
    
    
    104  | 
     | 
     | 
    		.make_affine = ec_GFp_simple_make_affine,  | 
    
    
    105  | 
     | 
     | 
    		.points_make_affine = ec_GFp_simple_points_make_affine,  | 
    
    
    106  | 
     | 
     | 
    		.field_mul = ec_GFp_nist_field_mul,  | 
    
    
    107  | 
     | 
     | 
    		.field_sqr = ec_GFp_nist_field_sqr  | 
    
    
    108  | 
     | 
     | 
    	};  | 
    
    
    109  | 
     | 
     | 
     | 
    
    
    110  | 
     | 
     | 
    	return &ret;  | 
    
    
    111  | 
     | 
     | 
    }  | 
    
    
    112  | 
     | 
     | 
     | 
    
    
    113  | 
     | 
     | 
    int  | 
    
    
    114  | 
     | 
     | 
    ec_GFp_nist_group_copy(EC_GROUP * dest, const EC_GROUP * src)  | 
    
    
    115  | 
     | 
     | 
    { | 
    
    
    116  | 
     | 
     | 
    	dest->field_mod_func = src->field_mod_func;  | 
    
    
    117  | 
     | 
     | 
     | 
    
    
    118  | 
     | 
     | 
    	return ec_GFp_simple_group_copy(dest, src);  | 
    
    
    119  | 
     | 
     | 
    }  | 
    
    
    120  | 
     | 
     | 
     | 
    
    
    121  | 
     | 
     | 
    int  | 
    
    
    122  | 
     | 
     | 
    ec_GFp_nist_group_set_curve(EC_GROUP *group, const BIGNUM *p,  | 
    
    
    123  | 
     | 
     | 
        const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)  | 
    
    
    124  | 
     | 
     | 
    { | 
    
    
    125  | 
     | 
     | 
    	int ret = 0;  | 
    
    
    126  | 
     | 
     | 
    	BN_CTX *new_ctx = NULL;  | 
    
    
    127  | 
     | 
     | 
    	BIGNUM *tmp_bn;  | 
    
    
    128  | 
     | 
     | 
     | 
    
    
    129  | 
     | 
     | 
    	if (ctx == NULL)  | 
    
    
    130  | 
     | 
     | 
    		if ((ctx = new_ctx = BN_CTX_new()) == NULL)  | 
    
    
    131  | 
     | 
     | 
    			return 0;  | 
    
    
    132  | 
     | 
     | 
     | 
    
    
    133  | 
     | 
     | 
    	BN_CTX_start(ctx);  | 
    
    
    134  | 
     | 
     | 
    	if ((tmp_bn = BN_CTX_get(ctx)) == NULL)  | 
    
    
    135  | 
     | 
     | 
    		goto err;  | 
    
    
    136  | 
     | 
     | 
     | 
    
    
    137  | 
     | 
     | 
    	if (BN_ucmp(BN_get0_nist_prime_192(), p) == 0)  | 
    
    
    138  | 
     | 
     | 
    		group->field_mod_func = BN_nist_mod_192;  | 
    
    
    139  | 
     | 
     | 
    	else if (BN_ucmp(BN_get0_nist_prime_224(), p) == 0)  | 
    
    
    140  | 
     | 
     | 
    		group->field_mod_func = BN_nist_mod_224;  | 
    
    
    141  | 
     | 
     | 
    	else if (BN_ucmp(BN_get0_nist_prime_256(), p) == 0)  | 
    
    
    142  | 
     | 
     | 
    		group->field_mod_func = BN_nist_mod_256;  | 
    
    
    143  | 
     | 
     | 
    	else if (BN_ucmp(BN_get0_nist_prime_384(), p) == 0)  | 
    
    
    144  | 
     | 
     | 
    		group->field_mod_func = BN_nist_mod_384;  | 
    
    
    145  | 
     | 
     | 
    	else if (BN_ucmp(BN_get0_nist_prime_521(), p) == 0)  | 
    
    
    146  | 
     | 
     | 
    		group->field_mod_func = BN_nist_mod_521;  | 
    
    
    147  | 
     | 
     | 
    	else { | 
    
    
    148  | 
     | 
     | 
    		ECerror(EC_R_NOT_A_NIST_PRIME);  | 
    
    
    149  | 
     | 
     | 
    		goto err;  | 
    
    
    150  | 
     | 
     | 
    	}  | 
    
    
    151  | 
     | 
     | 
     | 
    
    
    152  | 
     | 
     | 
    	ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx);  | 
    
    
    153  | 
     | 
     | 
     | 
    
    
    154  | 
     | 
     | 
    err:  | 
    
    
    155  | 
     | 
     | 
    	BN_CTX_end(ctx);  | 
    
    
    156  | 
     | 
     | 
    	BN_CTX_free(new_ctx);  | 
    
    
    157  | 
     | 
     | 
    	return ret;  | 
    
    
    158  | 
     | 
     | 
    }  | 
    
    
    159  | 
     | 
     | 
     | 
    
    
    160  | 
     | 
     | 
     | 
    
    
    161  | 
     | 
     | 
    int  | 
    
    
    162  | 
     | 
     | 
    ec_GFp_nist_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,  | 
    
    
    163  | 
     | 
     | 
        const BIGNUM *b, BN_CTX *ctx)  | 
    
    
    164  | 
     | 
     | 
    { | 
    
    
    165  | 
     | 
     | 
    	int ret = 0;  | 
    
    
    166  | 
     | 
     | 
    	BN_CTX *ctx_new = NULL;  | 
    
    
    167  | 
     | 
     | 
     | 
    
    
    168  | 
     | 
     | 
    	if (!group || !r || !a || !b) { | 
    
    
    169  | 
     | 
     | 
    		ECerror(ERR_R_PASSED_NULL_PARAMETER);  | 
    
    
    170  | 
     | 
     | 
    		goto err;  | 
    
    
    171  | 
     | 
     | 
    	}  | 
    
    
    172  | 
     | 
     | 
    	if (!ctx)  | 
    
    
    173  | 
     | 
     | 
    		if ((ctx_new = ctx = BN_CTX_new()) == NULL)  | 
    
    
    174  | 
     | 
     | 
    			goto err;  | 
    
    
    175  | 
     | 
     | 
     | 
    
    
    176  | 
     | 
     | 
    	if (!BN_mul(r, a, b, ctx))  | 
    
    
    177  | 
     | 
     | 
    		goto err;  | 
    
    
    178  | 
     | 
     | 
    	if (!group->field_mod_func(r, r, &group->field, ctx))  | 
    
    
    179  | 
     | 
     | 
    		goto err;  | 
    
    
    180  | 
     | 
     | 
     | 
    
    
    181  | 
     | 
     | 
    	ret = 1;  | 
    
    
    182  | 
     | 
     | 
    err:  | 
    
    
    183  | 
     | 
     | 
    	BN_CTX_free(ctx_new);  | 
    
    
    184  | 
     | 
     | 
    	return ret;  | 
    
    
    185  | 
     | 
     | 
    }  | 
    
    
    186  | 
     | 
     | 
     | 
    
    
    187  | 
     | 
     | 
     | 
    
    
    188  | 
     | 
     | 
    int  | 
    
    
    189  | 
     | 
     | 
    ec_GFp_nist_field_sqr(const EC_GROUP * group, BIGNUM * r, const BIGNUM * a,  | 
    
    
    190  | 
     | 
     | 
        BN_CTX * ctx)  | 
    
    
    191  | 
     | 
     | 
    { | 
    
    
    192  | 
     | 
     | 
    	int ret = 0;  | 
    
    
    193  | 
     | 
     | 
    	BN_CTX *ctx_new = NULL;  | 
    
    
    194  | 
     | 
     | 
     | 
    
    
    195  | 
     | 
     | 
    	if (!group || !r || !a) { | 
    
    
    196  | 
     | 
     | 
    		ECerror(EC_R_PASSED_NULL_PARAMETER);  | 
    
    
    197  | 
     | 
     | 
    		goto err;  | 
    
    
    198  | 
     | 
     | 
    	}  | 
    
    
    199  | 
     | 
     | 
    	if (!ctx)  | 
    
    
    200  | 
     | 
     | 
    		if ((ctx_new = ctx = BN_CTX_new()) == NULL)  | 
    
    
    201  | 
     | 
     | 
    			goto err;  | 
    
    
    202  | 
     | 
     | 
     | 
    
    
    203  | 
     | 
     | 
    	if (!BN_sqr(r, a, ctx))  | 
    
    
    204  | 
     | 
     | 
    		goto err;  | 
    
    
    205  | 
     | 
     | 
    	if (!group->field_mod_func(r, r, &group->field, ctx))  | 
    
    
    206  | 
     | 
     | 
    		goto err;  | 
    
    
    207  | 
     | 
     | 
     | 
    
    
    208  | 
     | 
     | 
    	ret = 1;  | 
    
    
    209  | 
     | 
     | 
    err:  | 
    
    
    210  | 
     | 
     | 
    	BN_CTX_free(ctx_new);  | 
    
    
    211  | 
     | 
     | 
    	return ret;  | 
    
    
    212  | 
     | 
     | 
    }  |