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1.\" $OpenBSD: BN_kronecker.3,v 1.1 2022/11/14 19:51:35 schwarze Exp $
2.\"
3.\" Copyright (c) 2022 Ingo Schwarze <schwarze@openbsd.org>
4.\"
5.\" Permission to use, copy, modify, and distribute this software for any
6.\" purpose with or without fee is hereby granted, provided that the above
7.\" copyright notice and this permission notice appear in all copies.
8.\"
9.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
10.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
11.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
12.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
13.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
14.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
15.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
16.\"
17.Dd $Mdocdate: November 14 2022 $
18.Dt BN_KRONECKER 3
19.Os
20.Sh NAME
21.Nm BN_kronecker
22.Nd Kronecker symbol
23.Sh SYNOPSIS
24.In openssl/bn.h
25.Ft int
26.Fo BN_kronecker
27.Fa "const BIGNUM *a"
28.Fa "const BIGNUM *b"
29.Fa "BN_CTX *ctx"
30.Fc
31.Sh DESCRIPTION
32.Fn BN_kronecker
33computes the Kronecker symbol
34.Pq a | b ,
35which generalizes the Legendre and Jacobi symbols
36for arbitrary integer numbers
37.Fa b .
38.Sh RETURN VALUES
39.Fn BN_kronecker
40returns \-1, 0, or 1 in case of success or \-2 on error.
41.Sh SEE ALSO
42.Xr BN_CTX_new 3 ,
43.Xr BN_gcd 3 ,
44.Xr BN_new 3
45.Rs
46.%A Henri Cohen
47.%B A Course in Computational Algebraic Number Theory
48.%I Springer
49.%C Berlin
50.%D 1993
51.%O Algorithm 1.4.10
52.Re
53.Sh HISTORY
54.Fn BN_kronecker
55first appeared in OpenSSL 0.9.7 and has been available since
56.Ox 3.2 .