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<?xml version="1.0" ?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <title>EC_POINT_add</title> <meta http-equiv="content-type" content="text/html; charset=utf-8" /> <link rev="made" href="mailto:root@localhost" /> </head> <body> <ul id="index"> <li><a href="#NAME">NAME</a></li> <li><a href="#SYNOPSIS">SYNOPSIS</a></li> <li><a href="#DESCRIPTION">DESCRIPTION</a></li> <li><a href="#RETURN-VALUES">RETURN VALUES</a></li> <li><a href="#SEE-ALSO">SEE ALSO</a></li> <li><a href="#COPYRIGHT">COPYRIGHT</a></li> </ul> <h1 id="NAME">NAME</h1> EC_POINT_add, EC_POINT_dbl, EC_POINT_invert, EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp, EC_POINT_make_affine, EC_POINTs_make_affine, EC_POINTs_mul, EC_POINT_mul, EC_GROUP_precompute_mult, EC_GROUP_have_precompute_mult - Functions for performing mathematical operations and tests on EC_POINT objects <h1 id="SYNOPSIS">SYNOPSIS</h1> <pre><code> #include <openssl/ec.h> int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx); int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx); int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx); int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p); int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx); int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx); int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx); int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx); int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, size_t num, const EC_POINT *p[], const BIGNUM *m[], BN_CTX *ctx); int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx); int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx); int EC_GROUP_have_precompute_mult(const EC_GROUP *group);</code></pre> <h1 id="DESCRIPTION">DESCRIPTION</h1> EC_POINT_add adds the two points a and b and places the result in r. Similarly EC_POINT_dbl doubles the point a and places the result in r. In both cases it is valid for r to be one of a or b. EC_POINT_invert calculates the inverse of the supplied point a. The result is placed back in a. The function EC_POINT_is_at_infinity tests whether the supplied point is at infinity or not. EC_POINT_is_on_curve tests whether the supplied point is on the curve or not. EC_POINT_cmp compares the two supplied points and tests whether or not they are equal. The functions EC_POINT_make_affine and EC_POINTs_make_affine force the internal representation of the EC_POINT(s) into the affine co-ordinate system. In the case of EC_POINTs_make_affine the value num provides the number of points in the array points to be forced. EC_POINT_mul is a convenient interface to EC_POINTs_mul: it calculates the value generator * n + q * m and stores the result in r. The value n may be NULL in which case the result is just q * m (variable point multiplication). Alternatively, both q and m may be NULL, and n non-NULL, in which case the result is just generator * n (fixed point multiplication). When performing a single fixed or variable point multiplication, the underlying implementation uses a constant time algorithm, when the input scalar (either n or m) is in the range [0, ec_group_order). EC_POINTs_mul calculates the value generator * n + q[0] * m[0] + ... + q[num-1] * m[num-1]. As for EC_POINT_mul the value n may be NULL or num may be zero. When performing a fixed point multiplication (n is non-NULL and num is 0) or a variable point multiplication (n is NULL and num is 1), the underlying implementation uses a constant time algorithm, when the input scalar (either n or m[0]) is in the range [0, ec_group_order). The function EC_GROUP_precompute_mult stores multiples of the generator for faster point multiplication, whilst EC_GROUP_have_precompute_mult tests whether precomputation has already been done. See <a href="../man3/EC_GROUP_copy.html">EC_GROUP_copy(3)</a> for information about the generator. <h1 id="RETURN-VALUES">RETURN VALUES</h1> The following functions return 1 on success or 0 on error: EC_POINT_add, EC_POINT_dbl, EC_POINT_invert, EC_POINT_make_affine, EC_POINTs_make_affine, EC_POINTs_make_affine, EC_POINT_mul, EC_POINTs_mul and EC_GROUP_precompute_mult. EC_POINT_is_at_infinity returns 1 if the point is at infinity, or 0 otherwise. EC_POINT_is_on_curve returns 1 if the point is on the curve, 0 if not, or -1 on error. EC_POINT_cmp returns 1 if the points are not equal, 0 if they are, or -1 on error. EC_GROUP_have_precompute_mult return 1 if a precomputation has been done, or 0 if not. <h1 id="SEE-ALSO">SEE ALSO</h1> <a href="../man7/crypto.html">crypto(7)</a>, <a href="../man3/EC_GROUP_new.html">EC_GROUP_new(3)</a>, <a href="../man3/EC_GROUP_copy.html">EC_GROUP_copy(3)</a>, <a href="../man3/EC_POINT_new.html">EC_POINT_new(3)</a>, <a href="../man3/EC_KEY_new.html">EC_KEY_new(3)</a>, <a href="../man3/EC_GFp_simple_method.html">EC_GFp_simple_method(3)</a>, <a href="../man3/d2i_ECPKParameters.html">d2i_ECPKParameters(3)</a> <h1 id="COPYRIGHT">COPYRIGHT</h1> Copyright 2013-2018 The OpenSSL Project Authors. 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 <a href="https://www.openssl.org/source/license.html">https://www.openssl.org/source/license.html</a>. </body> </html>