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131 .IX Title "EC_POINT_add 3"
132 .TH EC_POINT_add 3 "2017-01-26" "1.0.2k" "OpenSSL"
133 .\" For nroff, turn off justification. Always turn off hyphenation; it makes
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138 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.
140 .IX Header "SYNOPSIS"
142 \& #include <openssl/ec.h>
143 \& #include <openssl/bn.h>
145 \& int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
146 \& int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
147 \& int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
148 \& int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
149 \& int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
150 \& int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
151 \& int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
152 \& int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx);
153 \& 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);
154 \& int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
155 \& int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
156 \& int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
159 .IX Header "DESCRIPTION"
160 EC_POINT_add adds the two points \fBa\fR and \fBb\fR and places the result in \fBr\fR. Similarly EC_POINT_dbl doubles the point \fBa\fR and places the
161 result in \fBr\fR. In both cases it is valid for \fBr\fR to be one of \fBa\fR or \fBb\fR.
163 EC_POINT_invert calculates the inverse of the supplied point \fBa\fR. The result is placed back in \fBa\fR.
165 The function EC_POINT_is_at_infinity tests whether the supplied point is at infinity or not.
167 EC_POINT_is_on_curve tests whether the supplied point is on the curve or not.
169 EC_POINT_cmp compares the two supplied points and tests whether or not they are equal.
171 The functions EC_POINT_make_affine and EC_POINTs_make_affine force the internal representation of the \s-1EC_POINT\s0(s) into the affine
172 co-ordinate system. In the case of EC_POINTs_make_affine the value \fBnum\fR provides the number of points in the array \fBpoints\fR to be
175 EC_POINT_mul calculates the value generator * \fBn\fR + \fBq\fR * \fBm\fR and stores the result in \fBr\fR. The value \fBn\fR may be \s-1NULL\s0 in which case the result is just \fBq\fR * \fBm\fR.
177 EC_POINTs_mul calculates the value generator * \fBn\fR + \fBq[0]\fR * \fBm[0]\fR + ... + \fBq[num\-1]\fR * \fBm[num\-1]\fR. As for EC_POINT_mul the value
178 \&\fBn\fR may be \s-1NULL.\s0
180 The function EC_GROUP_precompute_mult stores multiples of the generator for faster point multiplication, whilst
181 EC_GROUP_have_precompute_mult tests whether precomputation has already been done. See \fIEC_GROUP_copy\fR\|(3) for information
184 .IX Header "RETURN VALUES"
185 The following functions return 1 on success or 0 on error: EC_POINT_add, EC_POINT_dbl, EC_POINT_invert, EC_POINT_make_affine,
186 EC_POINTs_make_affine, EC_POINTs_make_affine, EC_POINT_mul, EC_POINTs_mul and EC_GROUP_precompute_mult.
188 EC_POINT_is_at_infinity returns 1 if the point is at infinity, or 0 otherwise.
190 EC_POINT_is_on_curve returns 1 if the point is on the curve, 0 if not, or \-1 on error.
192 EC_POINT_cmp returns 1 if the points are not equal, 0 if they are, or \-1 on error.
194 EC_GROUP_have_precompute_mult return 1 if a precomputation has been done, or 0 if not.
196 .IX Header "SEE ALSO"
197 \&\fIcrypto\fR\|(3), \fIec\fR\|(3), \fIEC_GROUP_new\fR\|(3), \fIEC_GROUP_copy\fR\|(3),
198 \&\fIEC_POINT_new\fR\|(3), \fIEC_KEY_new\fR\|(3),
199 \&\fIEC_GFp_simple_method\fR\|(3), \fId2i_ECPKParameters\fR\|(3)