=pod =head1 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_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 =head1 SYNOPSIS #include 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); =head1 DESCRIPTION EC_POINT_add adds the two points B and B and places the result in B. Similarly EC_POINT_dbl doubles the point B and places the result in B. In both cases it is valid for B to be one of B or B. EC_POINT_invert calculates the inverse of the supplied point B. The result is placed back in B. 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 B provides the number of points in the array B to be forced. EC_POINT_mul calculates the value generator * B + B * B and stores the result in B. The value B may be NULL in which case the result is just B * B. EC_POINTs_mul calculates the value generator * B + B * B + ... + B * B. As for EC_POINT_mul the value B may be NULL. 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 L for information about the generator. =head1 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, 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. =head1 SEE ALSO L, L, L, L, L, L, L =head1 COPYRIGHT Copyright 2013-2017 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 L. =cut