Sortix
Sortix Download Manual Development Source Code News Blog More
current nightly

Sortix volatile manual

This manual documents Sortix volatile, a development build that has not been officially released. You can instead view this document in the latest official manual.

EC_POINT_ADD(3) Library Functions Manual EC_POINT_ADD(3)

NAME

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_POINT_mul — perform mathematical operations and tests on EC_POINT objects

SYNOPSIS

library “libcrypto”
#include <openssl/ec.h>
#include <openssl/bn.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_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);

DESCRIPTION

These functions operate on EC_POINT objects created by EC_POINT_new(3).

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.

EC_POINT_mul() 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.

See EC_GROUP_new_curve_GFp(3) for information about the generator.

RETURN VALUES

The following functions return 1 on success or 0 on error: EC_POINT_add(), EC_POINT_dbl(), EC_POINT_invert(), EC_POINT_make_affine(), and EC_POINT_mul()

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.

SEE ALSO

crypto(3), d2i_ECPKParameters(3), EC_GROUP_check(3), EC_GROUP_get_curve_name(3), EC_GROUP_new_by_curve_name(3), EC_GROUP_new_curve_GFp(3), EC_KEY_METHOD_new(3), EC_KEY_new(3), EC_POINT_get_affine_coordinates(3), EC_POINT_new(3), EC_POINT_point2oct(3)

HISTORY

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(), and EC_POINT_mul() first appeared in OpenSSL 0.9.7 and have been available since OpenBSD 3.2.

June 8, 2025 Sortix 1.1.0-dev
Copyright 2011-2026 Jonas 'Sortie' Termansen and contributors.
Sortix's source code is free software under the ISC license.
#sortix on irc.sortix.org
@sortix_org