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    /* $OpenBSD: ecp_mont.c,v 1.11 2017/01/29 17:49:23 beck Exp $ */  | 
    
    
    2  | 
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    /*  | 
    
    
    3  | 
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     * Originally written by Bodo Moeller for the OpenSSL project.  | 
    
    
    4  | 
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     */  | 
    
    
    5  | 
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    /* ====================================================================  | 
    
    
    6  | 
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     * Copyright (c) 1998-2001 The OpenSSL Project.  All rights reserved.  | 
    
    
    7  | 
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     *  | 
    
    
    8  | 
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     * Redistribution and use in source and binary forms, with or without  | 
    
    
    9  | 
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     * modification, are permitted provided that the following conditions  | 
    
    
    10  | 
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     * are met:  | 
    
    
    11  | 
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     *  | 
    
    
    12  | 
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     * 1. Redistributions of source code must retain the above copyright  | 
    
    
    13  | 
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     *    notice, this list of conditions and the following disclaimer.  | 
    
    
    14  | 
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     *  | 
    
    
    15  | 
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     * 2. Redistributions in binary form must reproduce the above copyright  | 
    
    
    16  | 
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     *    notice, this list of conditions and the following disclaimer in  | 
    
    
    17  | 
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     *    the documentation and/or other materials provided with the  | 
    
    
    18  | 
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     *    distribution.  | 
    
    
    19  | 
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     *  | 
    
    
    20  | 
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     * 3. All advertising materials mentioning features or use of this  | 
    
    
    21  | 
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     *    software must display the following acknowledgment:  | 
    
    
    22  | 
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     *    "This product includes software developed by the OpenSSL Project  | 
    
    
    23  | 
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     *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"  | 
    
    
    24  | 
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     *  | 
    
    
    25  | 
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     * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to  | 
    
    
    26  | 
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     *    endorse or promote products derived from this software without  | 
    
    
    27  | 
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     *    prior written permission. For written permission, please contact  | 
    
    
    28  | 
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     *    openssl-core@openssl.org.  | 
    
    
    29  | 
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     *  | 
    
    
    30  | 
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     * 5. Products derived from this software may not be called "OpenSSL"  | 
    
    
    31  | 
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     *    nor may "OpenSSL" appear in their names without prior written  | 
    
    
    32  | 
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     *    permission of the OpenSSL Project.  | 
    
    
    33  | 
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     *  | 
    
    
    34  | 
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     * 6. Redistributions of any form whatsoever must retain the following  | 
    
    
    35  | 
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     *    acknowledgment:  | 
    
    
    36  | 
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     *    "This product includes software developed by the OpenSSL Project  | 
    
    
    37  | 
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     *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"  | 
    
    
    38  | 
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     *  | 
    
    
    39  | 
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     * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY  | 
    
    
    40  | 
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     * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE  | 
    
    
    41  | 
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     * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR  | 
    
    
    42  | 
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     * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR  | 
    
    
    43  | 
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     * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,  | 
    
    
    44  | 
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     * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT  | 
    
    
    45  | 
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     * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;  | 
    
    
    46  | 
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     * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)  | 
    
    
    47  | 
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     * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,  | 
    
    
    48  | 
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     * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)  | 
    
    
    49  | 
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     * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED  | 
    
    
    50  | 
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     * OF THE POSSIBILITY OF SUCH DAMAGE.  | 
    
    
    51  | 
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     * ====================================================================  | 
    
    
    52  | 
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     *  | 
    
    
    53  | 
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     * This product includes cryptographic software written by Eric Young  | 
    
    
    54  | 
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     * (eay@cryptsoft.com).  This product includes software written by Tim  | 
    
    
    55  | 
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     * Hudson (tjh@cryptsoft.com).  | 
    
    
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     *  | 
    
    
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     */  | 
    
    
    58  | 
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    /* ====================================================================  | 
    
    
    59  | 
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     * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.  | 
    
    
    60  | 
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     * Portions of this software developed by SUN MICROSYSTEMS, INC.,  | 
    
    
    61  | 
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     * and contributed to the OpenSSL project.  | 
    
    
    62  | 
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     */  | 
    
    
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    64  | 
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    #include <openssl/err.h>  | 
    
    
    65  | 
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    66  | 
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    #include "ec_lcl.h"  | 
    
    
    67  | 
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    68  | 
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    69  | 
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    const EC_METHOD *  | 
    
    
    70  | 
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    EC_GFp_mont_method(void)  | 
    
    
    71  | 
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    { | 
    
    
    72  | 
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    	static const EC_METHOD ret = { | 
    
    
    73  | 
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    		.flags = EC_FLAGS_DEFAULT_OCT,  | 
    
    
    74  | 
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    		.field_type = NID_X9_62_prime_field,  | 
    
    
    75  | 
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    		.group_init = ec_GFp_mont_group_init,  | 
    
    
    76  | 
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    		.group_finish = ec_GFp_mont_group_finish,  | 
    
    
    77  | 
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    		.group_clear_finish = ec_GFp_mont_group_clear_finish,  | 
    
    
    78  | 
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    		.group_copy = ec_GFp_mont_group_copy,  | 
    
    
    79  | 
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    		.group_set_curve = ec_GFp_mont_group_set_curve,  | 
    
    
    80  | 
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    		.group_get_curve = ec_GFp_simple_group_get_curve,  | 
    
    
    81  | 
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    		.group_get_degree = ec_GFp_simple_group_get_degree,  | 
    
    
    82  | 
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    		.group_check_discriminant =  | 
    
    
    83  | 
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    		ec_GFp_simple_group_check_discriminant,  | 
    
    
    84  | 
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    		.point_init = ec_GFp_simple_point_init,  | 
    
    
    85  | 
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    		.point_finish = ec_GFp_simple_point_finish,  | 
    
    
    86  | 
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    		.point_clear_finish = ec_GFp_simple_point_clear_finish,  | 
    
    
    87  | 
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    		.point_copy = ec_GFp_simple_point_copy,  | 
    
    
    88  | 
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    		.point_set_to_infinity = ec_GFp_simple_point_set_to_infinity,  | 
    
    
    89  | 
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    		.point_set_Jprojective_coordinates_GFp =  | 
    
    
    90  | 
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    		ec_GFp_simple_set_Jprojective_coordinates_GFp,  | 
    
    
    91  | 
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    		.point_get_Jprojective_coordinates_GFp =  | 
    
    
    92  | 
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    		ec_GFp_simple_get_Jprojective_coordinates_GFp,  | 
    
    
    93  | 
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    		.point_set_affine_coordinates =  | 
    
    
    94  | 
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    		ec_GFp_simple_point_set_affine_coordinates,  | 
    
    
    95  | 
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    		.point_get_affine_coordinates =  | 
    
    
    96  | 
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    		ec_GFp_simple_point_get_affine_coordinates,  | 
    
    
    97  | 
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    		.add = ec_GFp_simple_add,  | 
    
    
    98  | 
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    		.dbl = ec_GFp_simple_dbl,  | 
    
    
    99  | 
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    		.invert = ec_GFp_simple_invert,  | 
    
    
    100  | 
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    		.is_at_infinity = ec_GFp_simple_is_at_infinity,  | 
    
    
    101  | 
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    		.is_on_curve = ec_GFp_simple_is_on_curve,  | 
    
    
    102  | 
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    		.point_cmp = ec_GFp_simple_cmp,  | 
    
    
    103  | 
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    		.make_affine = ec_GFp_simple_make_affine,  | 
    
    
    104  | 
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    		.points_make_affine = ec_GFp_simple_points_make_affine,  | 
    
    
    105  | 
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    		.field_mul = ec_GFp_mont_field_mul,  | 
    
    
    106  | 
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    		.field_sqr = ec_GFp_mont_field_sqr,  | 
    
    
    107  | 
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    		.field_encode = ec_GFp_mont_field_encode,  | 
    
    
    108  | 
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    		.field_decode = ec_GFp_mont_field_decode,  | 
    
    
    109  | 
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    		.field_set_to_one = ec_GFp_mont_field_set_to_one  | 
    
    
    110  | 
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    	};  | 
    
    
    111  | 
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    112  | 
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    5194  | 
    	return &ret;  | 
    
    
    113  | 
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    }  | 
    
    
    114  | 
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    115  | 
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    116  | 
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    int  | 
    
    
    117  | 
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    ec_GFp_mont_group_init(EC_GROUP * group)  | 
    
    
    118  | 
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    { | 
    
    
    119  | 
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    	int ok;  | 
    
    
    120  | 
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    121  | 
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    10806  | 
    	ok = ec_GFp_simple_group_init(group);  | 
    
    
    122  | 
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    5403  | 
    	group->field_data1 = NULL;  | 
    
    
    123  | 
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    5403  | 
    	group->field_data2 = NULL;  | 
    
    
    124  | 
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    5403  | 
    	return ok;  | 
    
    
    125  | 
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    }  | 
    
    
    126  | 
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    127  | 
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    128  | 
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    void  | 
    
    
    129  | 
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    ec_GFp_mont_group_finish(EC_GROUP * group)  | 
    
    
    130  | 
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    { | 
    
    
    131  | 
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    10804  | 
    	BN_MONT_CTX_free(group->field_data1);  | 
    
    
    132  | 
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    5402  | 
    	group->field_data1 = NULL;  | 
    
    
    133  | 
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    5402  | 
    	BN_free(group->field_data2);  | 
    
    
    134  | 
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    5402  | 
    	group->field_data2 = NULL;  | 
    
    
    135  | 
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    5402  | 
    	ec_GFp_simple_group_finish(group);  | 
    
    
    136  | 
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    5402  | 
    }  | 
    
    
    137  | 
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    138  | 
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    139  | 
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    void  | 
    
    
    140  | 
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    ec_GFp_mont_group_clear_finish(EC_GROUP * group)  | 
    
    
    141  | 
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    { | 
    
    
    142  | 
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    	BN_MONT_CTX_free(group->field_data1);  | 
    
    
    143  | 
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    	group->field_data1 = NULL;  | 
    
    
    144  | 
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    	BN_clear_free(group->field_data2);  | 
    
    
    145  | 
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    	group->field_data2 = NULL;  | 
    
    
    146  | 
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    	ec_GFp_simple_group_clear_finish(group);  | 
    
    
    147  | 
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    }  | 
    
    
    148  | 
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    149  | 
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    150  | 
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    int  | 
    
    
    151  | 
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    ec_GFp_mont_group_copy(EC_GROUP * dest, const EC_GROUP * src)  | 
    
    
    152  | 
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    { | 
    
    
    153  | 
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    5612  | 
    	BN_MONT_CTX_free(dest->field_data1);  | 
    
    
    154  | 
     | 
    2806  | 
    	dest->field_data1 = NULL;  | 
    
    
    155  | 
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    2806  | 
    	BN_clear_free(dest->field_data2);  | 
    
    
    156  | 
     | 
    2806  | 
    	dest->field_data2 = NULL;  | 
    
    
    157  | 
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    158  | 
    ✗✓ | 
    2806  | 
    	if (!ec_GFp_simple_group_copy(dest, src))  | 
    
    
    159  | 
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    		return 0;  | 
    
    
    160  | 
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    161  | 
    ✓✗ | 
    2806  | 
    	if (src->field_data1 != NULL) { | 
    
    
    162  | 
     | 
    2806  | 
    		dest->field_data1 = BN_MONT_CTX_new();  | 
    
    
    163  | 
    ✗✓ | 
    2806  | 
    		if (dest->field_data1 == NULL)  | 
    
    
    164  | 
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    			return 0;  | 
    
    
    165  | 
    ✓✗ | 
    2806  | 
    		if (!BN_MONT_CTX_copy(dest->field_data1, src->field_data1))  | 
    
    
    166  | 
     | 
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    			goto err;  | 
    
    
    167  | 
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    	}  | 
    
    
    168  | 
    ✓✗ | 
    2806  | 
    	if (src->field_data2 != NULL) { | 
    
    
    169  | 
     | 
    2806  | 
    		dest->field_data2 = BN_dup(src->field_data2);  | 
    
    
    170  | 
    ✓✗ | 
    2806  | 
    		if (dest->field_data2 == NULL)  | 
    
    
    171  | 
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    			goto err;  | 
    
    
    172  | 
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    	}  | 
    
    
    173  | 
     | 
    2806  | 
    	return 1;  | 
    
    
    174  | 
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    175  | 
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    err:  | 
    
    
    176  | 
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    	if (dest->field_data1 != NULL) { | 
    
    
    177  | 
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    		BN_MONT_CTX_free(dest->field_data1);  | 
    
    
    178  | 
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    		dest->field_data1 = NULL;  | 
    
    
    179  | 
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    	}  | 
    
    
    180  | 
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    	return 0;  | 
    
    
    181  | 
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    2806  | 
    }  | 
    
    
    182  | 
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    183  | 
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    184  | 
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    int  | 
    
    
    185  | 
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    ec_GFp_mont_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,  | 
    
    
    186  | 
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        const BIGNUM *b, BN_CTX *ctx)  | 
    
    
    187  | 
     | 
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    { | 
    
    
    188  | 
     | 
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    	BN_CTX *new_ctx = NULL;  | 
    
    
    189  | 
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    	BN_MONT_CTX *mont = NULL;  | 
    
    
    190  | 
     | 
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    	BIGNUM *one = NULL;  | 
    
    
    191  | 
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    	int ret = 0;  | 
    
    
    192  | 
     | 
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    193  | 
     | 
    5266  | 
    	BN_MONT_CTX_free(group->field_data1);  | 
    
    
    194  | 
     | 
    2633  | 
    	group->field_data1 = NULL;  | 
    
    
    195  | 
     | 
    2633  | 
    	BN_free(group->field_data2);  | 
    
    
    196  | 
     | 
    2633  | 
    	group->field_data2 = NULL;  | 
    
    
    197  | 
    ✓✓ | 
    2633  | 
    	if (ctx == NULL) { | 
    
    
    198  | 
     | 
    102  | 
    		ctx = new_ctx = BN_CTX_new();  | 
    
    
    199  | 
    ✗✓ | 
    102  | 
    		if (ctx == NULL)  | 
    
    
    200  | 
     | 
     | 
    			return 0;  | 
    
    
    201  | 
     | 
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    	}  | 
    
    
    202  | 
     | 
    2633  | 
    	mont = BN_MONT_CTX_new();  | 
    
    
    203  | 
    ✓✗ | 
    2633  | 
    	if (mont == NULL)  | 
    
    
    204  | 
     | 
     | 
    		goto err;  | 
    
    
    205  | 
    ✗✓ | 
    2633  | 
    	if (!BN_MONT_CTX_set(mont, p, ctx)) { | 
    
    
    206  | 
     | 
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    		ECerror(ERR_R_BN_LIB);  | 
    
    
    207  | 
     | 
     | 
    		goto err;  | 
    
    
    208  | 
     | 
     | 
    	}  | 
    
    
    209  | 
     | 
    2633  | 
    	one = BN_new();  | 
    
    
    210  | 
    ✓✗ | 
    2633  | 
    	if (one == NULL)  | 
    
    
    211  | 
     | 
     | 
    		goto err;  | 
    
    
    212  | 
    ✓✗ | 
    2633  | 
    	if (!BN_to_montgomery(one, BN_value_one(), mont, ctx))  | 
    
    
    213  | 
     | 
     | 
    		goto err;  | 
    
    
    214  | 
     | 
     | 
     | 
    
    
    215  | 
     | 
    2633  | 
    	group->field_data1 = mont;  | 
    
    
    216  | 
     | 
     | 
    	mont = NULL;  | 
    
    
    217  | 
     | 
    2633  | 
    	group->field_data2 = one;  | 
    
    
    218  | 
     | 
     | 
    	one = NULL;  | 
    
    
    219  | 
     | 
     | 
     | 
    
    
    220  | 
     | 
    2633  | 
    	ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx);  | 
    
    
    221  | 
     | 
     | 
     | 
    
    
    222  | 
    ✗✓ | 
    2633  | 
    	if (!ret) { | 
    
    
    223  | 
     | 
     | 
    		BN_MONT_CTX_free(group->field_data1);  | 
    
    
    224  | 
     | 
     | 
    		group->field_data1 = NULL;  | 
    
    
    225  | 
     | 
     | 
    		BN_free(group->field_data2);  | 
    
    
    226  | 
     | 
     | 
    		group->field_data2 = NULL;  | 
    
    
    227  | 
     | 
     | 
    	}  | 
    
    
    228  | 
     | 
     | 
    err:  | 
    
    
    229  | 
     | 
    2633  | 
    	BN_CTX_free(new_ctx);  | 
    
    
    230  | 
     | 
    2633  | 
    	BN_MONT_CTX_free(mont);  | 
    
    
    231  | 
     | 
    2633  | 
    	BN_free(one);  | 
    
    
    232  | 
     | 
    2633  | 
    	return ret;  | 
    
    
    233  | 
     | 
    2633  | 
    }  | 
    
    
    234  | 
     | 
     | 
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    235  | 
     | 
     | 
     | 
    
    
    236  | 
     | 
     | 
    int  | 
    
    
    237  | 
     | 
     | 
    ec_GFp_mont_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,  | 
    
    
    238  | 
     | 
     | 
        const BIGNUM *b, BN_CTX *ctx)  | 
    
    
    239  | 
     | 
     | 
    { | 
    
    
    240  | 
    ✗✓ | 
    19331734  | 
    	if (group->field_data1 == NULL) { | 
    
    
    241  | 
     | 
     | 
    		ECerror(EC_R_NOT_INITIALIZED);  | 
    
    
    242  | 
     | 
     | 
    		return 0;  | 
    
    
    243  | 
     | 
     | 
    	}  | 
    
    
    244  | 
     | 
    9665867  | 
    	return BN_mod_mul_montgomery(r, a, b, group->field_data1, ctx);  | 
    
    
    245  | 
     | 
    9665867  | 
    }  | 
    
    
    246  | 
     | 
     | 
     | 
    
    
    247  | 
     | 
     | 
     | 
    
    
    248  | 
     | 
     | 
    int  | 
    
    
    249  | 
     | 
     | 
    ec_GFp_mont_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,  | 
    
    
    250  | 
     | 
     | 
        BN_CTX *ctx)  | 
    
    
    251  | 
     | 
     | 
    { | 
    
    
    252  | 
    ✗✓ | 
    16221536  | 
    	if (group->field_data1 == NULL) { | 
    
    
    253  | 
     | 
     | 
    		ECerror(EC_R_NOT_INITIALIZED);  | 
    
    
    254  | 
     | 
     | 
    		return 0;  | 
    
    
    255  | 
     | 
     | 
    	}  | 
    
    
    256  | 
     | 
    8110768  | 
    	return BN_mod_mul_montgomery(r, a, a, group->field_data1, ctx);  | 
    
    
    257  | 
     | 
    8110768  | 
    }  | 
    
    
    258  | 
     | 
     | 
     | 
    
    
    259  | 
     | 
     | 
     | 
    
    
    260  | 
     | 
     | 
    int  | 
    
    
    261  | 
     | 
     | 
    ec_GFp_mont_field_encode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,  | 
    
    
    262  | 
     | 
     | 
        BN_CTX *ctx)  | 
    
    
    263  | 
     | 
     | 
    { | 
    
    
    264  | 
    ✗✓ | 
    49696  | 
    	if (group->field_data1 == NULL) { | 
    
    
    265  | 
     | 
     | 
    		ECerror(EC_R_NOT_INITIALIZED);  | 
    
    
    266  | 
     | 
     | 
    		return 0;  | 
    
    
    267  | 
     | 
     | 
    	}  | 
    
    
    268  | 
     | 
    24848  | 
    	return BN_to_montgomery(r, a, (BN_MONT_CTX *) group->field_data1, ctx);  | 
    
    
    269  | 
     | 
    24848  | 
    }  | 
    
    
    270  | 
     | 
     | 
     | 
    
    
    271  | 
     | 
     | 
     | 
    
    
    272  | 
     | 
     | 
    int  | 
    
    
    273  | 
     | 
     | 
    ec_GFp_mont_field_decode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,  | 
    
    
    274  | 
     | 
     | 
        BN_CTX *ctx)  | 
    
    
    275  | 
     | 
     | 
    { | 
    
    
    276  | 
    ✗✓ | 
    20048  | 
    	if (group->field_data1 == NULL) { | 
    
    
    277  | 
     | 
     | 
    		ECerror(EC_R_NOT_INITIALIZED);  | 
    
    
    278  | 
     | 
     | 
    		return 0;  | 
    
    
    279  | 
     | 
     | 
    	}  | 
    
    
    280  | 
     | 
    10024  | 
    	return BN_from_montgomery(r, a, group->field_data1, ctx);  | 
    
    
    281  | 
     | 
    10024  | 
    }  | 
    
    
    282  | 
     | 
     | 
     | 
    
    
    283  | 
     | 
     | 
     | 
    
    
    284  | 
     | 
     | 
    int  | 
    
    
    285  | 
     | 
     | 
    ec_GFp_mont_field_set_to_one(const EC_GROUP *group, BIGNUM *r, BN_CTX *ctx)  | 
    
    
    286  | 
     | 
     | 
    { | 
    
    
    287  | 
    ✗✓ | 
    95826  | 
    	if (group->field_data2 == NULL) { | 
    
    
    288  | 
     | 
     | 
    		ECerror(EC_R_NOT_INITIALIZED);  | 
    
    
    289  | 
     | 
     | 
    		return 0;  | 
    
    
    290  | 
     | 
     | 
    	}  | 
    
    
    291  | 
    ✗✓ | 
    47913  | 
    	if (!BN_copy(r, group->field_data2))  | 
    
    
    292  | 
     | 
     | 
    		return 0;  | 
    
    
    293  | 
     | 
    47913  | 
    	return 1;  | 
    
    
    294  | 
     | 
    47913  | 
    }  |