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+.rm #[ #] #H #V #F C
+.\" ========================================================================
+.\"
+.IX Title "EC_POINT_NEW 3"
+.TH EC_POINT_NEW 3 "2019-09-10" "1.1.1d" "OpenSSL"
+.\" For nroff, turn off justification. Always turn off hyphenation; it makes
+.\" way too many mistakes in technical documents.
+.if n .ad l
+.nh
+.SH "NAME"
+EC_POINT_set_Jprojective_coordinates_GFp, EC_POINT_point2buf, EC_POINT_new, EC_POINT_free, EC_POINT_clear_free, EC_POINT_copy, EC_POINT_dup, EC_POINT_method_of, EC_POINT_set_to_infinity, EC_POINT_get_Jprojective_coordinates_GFp, EC_POINT_set_affine_coordinates, EC_POINT_get_affine_coordinates, EC_POINT_set_compressed_coordinates, EC_POINT_set_affine_coordinates_GFp, EC_POINT_get_affine_coordinates_GFp, EC_POINT_set_compressed_coordinates_GFp, EC_POINT_set_affine_coordinates_GF2m, EC_POINT_get_affine_coordinates_GF2m, EC_POINT_set_compressed_coordinates_GF2m, EC_POINT_point2oct, EC_POINT_oct2point, EC_POINT_point2bn, EC_POINT_bn2point, EC_POINT_point2hex, EC_POINT_hex2point \&\- Functions for creating, destroying and manipulating EC_POINT objects
+.SH "SYNOPSIS"
+.IX Header "SYNOPSIS"
+.Vb 1
+\& #include <openssl/ec.h>
+\&
+\& EC_POINT *EC_POINT_new(const EC_GROUP *group);
+\& void EC_POINT_free(EC_POINT *point);
+\& void EC_POINT_clear_free(EC_POINT *point);
+\& int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
+\& EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
+\& const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
+\& int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
+\& int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
+\& EC_POINT *p,
+\& const BIGNUM *x, const BIGNUM *y,
+\& const BIGNUM *z, BN_CTX *ctx);
+\& int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
+\& const EC_POINT *p,
+\& BIGNUM *x, BIGNUM *y, BIGNUM *z,
+\& BN_CTX *ctx);
+\& int EC_POINT_set_affine_coordinates(const EC_GROUP *group, EC_POINT *p,
+\& const BIGNUM *x, const BIGNUM *y,
+\& BN_CTX *ctx);
+\& int EC_POINT_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *p,
+\& BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
+\& int EC_POINT_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *p,
+\& const BIGNUM *x, int y_bit,
+\& BN_CTX *ctx);
+\& int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
+\& const BIGNUM *x, const BIGNUM *y,
+\& BN_CTX *ctx);
+\& int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
+\& const EC_POINT *p,
+\& BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
+\& int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group,
+\& EC_POINT *p,
+\& const BIGNUM *x, int y_bit,
+\& BN_CTX *ctx);
+\& int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
+\& const BIGNUM *x, const BIGNUM *y,
+\& BN_CTX *ctx);
+\& int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
+\& const EC_POINT *p,
+\& BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
+\& int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group,
+\& EC_POINT *p,
+\& const BIGNUM *x, int y_bit,
+\& BN_CTX *ctx);
+\& size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
+\& point_conversion_form_t form,
+\& unsigned char *buf, size_t len, BN_CTX *ctx);
+\& size_t EC_POINT_point2buf(const EC_GROUP *group, const EC_POINT *point,
+\& point_conversion_form_t form,
+\& unsigned char **pbuf, BN_CTX *ctx);
+\& int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
+\& const unsigned char *buf, size_t len, BN_CTX *ctx);
+\& BIGNUM *EC_POINT_point2bn(const EC_GROUP *group, const EC_POINT *p,
+\& point_conversion_form_t form, BIGNUM *bn,
+\& BN_CTX *ctx);
+\& EC_POINT *EC_POINT_bn2point(const EC_GROUP *group, const BIGNUM *bn,
+\& EC_POINT *p, BN_CTX *ctx);
+\& char *EC_POINT_point2hex(const EC_GROUP *group, const EC_POINT *p,
+\& point_conversion_form_t form, BN_CTX *ctx);
+\& EC_POINT *EC_POINT_hex2point(const EC_GROUP *group, const char *hex,
+\& EC_POINT *p, BN_CTX *ctx);
+.Ve
+.SH "DESCRIPTION"
+.IX Header "DESCRIPTION"
+An \fB\s-1EC_POINT\s0\fR structure represents a point on a curve. A new point is
+constructed by calling the function \fBEC_POINT_new()\fR and providing the
+\&\fBgroup\fR object that the point relates to.
+.PP
+\&\fBEC_POINT_free()\fR frees the memory associated with the \fB\s-1EC_POINT\s0\fR.
+if \fBpoint\fR is \s-1NULL\s0 nothing is done.
+.PP
+\&\fBEC_POINT_clear_free()\fR destroys any sensitive data held within the \s-1EC_POINT\s0 and
+then frees its memory. If \fBpoint\fR is \s-1NULL\s0 nothing is done.
+.PP
+\&\fBEC_POINT_copy()\fR copies the point \fBsrc\fR into \fBdst\fR. Both \fBsrc\fR and \fBdst\fR
+must use the same \fB\s-1EC_METHOD\s0\fR.
+.PP
+\&\fBEC_POINT_dup()\fR creates a new \fB\s-1EC_POINT\s0\fR object and copies the content from
+\&\fBsrc\fR to the newly created \fB\s-1EC_POINT\s0\fR object.
+.PP
+\&\fBEC_POINT_method_of()\fR obtains the \fB\s-1EC_METHOD\s0\fR associated with \fBpoint\fR.
+.PP
+A valid point on a curve is the special point at infinity. A point is set to
+be at infinity by calling \fBEC_POINT_set_to_infinity()\fR.
+.PP
+The affine co-ordinates for a point describe a point in terms of its x and y
+position. The function \fBEC_POINT_set_affine_coordinates()\fR sets the \fBx\fR and \fBy\fR
+co-ordinates for the point \fBp\fR defined over the curve given in \fBgroup\fR. The
+function \fBEC_POINT_get_affine_coordinates()\fR sets \fBx\fR and \fBy\fR, either of which
+may be \s-1NULL,\s0 to the corresponding coordinates of \fBp\fR.
+.PP
+The functions \fBEC_POINT_set_affine_coordinates_GFp()\fR and
+\&\fBEC_POINT_set_affine_coordinates_GF2m()\fR are synonyms for
+\&\fBEC_POINT_set_affine_coordinates()\fR. They are defined for backwards compatibility
+only and should not be used.
+.PP
+The functions \fBEC_POINT_get_affine_coordinates_GFp()\fR and
+\&\fBEC_POINT_get_affine_coordinates_GF2m()\fR are synonyms for
+\&\fBEC_POINT_get_affine_coordinates()\fR. They are defined for backwards compatibility
+only and should not be used.
+.PP
+As well as the affine co-ordinates, a point can alternatively be described in
+terms of its Jacobian projective co-ordinates (for Fp curves only). Jacobian
+projective co-ordinates are expressed as three values x, y and z. Working in
+this co-ordinate system provides more efficient point multiplication
+operations. A mapping exists between Jacobian projective co-ordinates and
+affine co-ordinates. A Jacobian projective co-ordinate (x, y, z) can be written
+as an affine co-ordinate as (x/(z^2), y/(z^3)). Conversion to Jacobian
+projective from affine co-ordinates is simple. The co-ordinate (x, y) is mapped
+to (x, y, 1). To set or get the projective co-ordinates use
+\&\fBEC_POINT_set_Jprojective_coordinates_GFp()\fR and
+\&\fBEC_POINT_get_Jprojective_coordinates_GFp()\fR respectively.
+.PP
+Points can also be described in terms of their compressed co-ordinates. For a
+point (x, y), for any given value for x such that the point is on the curve
+there will only ever be two possible values for y. Therefore a point can be set
+using the \fBEC_POINT_set_compressed_coordinates()\fR function where \fBx\fR is the x
+co-ordinate and \fBy_bit\fR is a value 0 or 1 to identify which of the two
+possible values for y should be used.
+.PP
+The functions \fBEC_POINT_set_compressed_coordinates_GFp()\fR and
+\&\fBEC_POINT_set_compressed_coordinates_GF2m()\fR are synonyms for
+\&\fBEC_POINT_set_compressed_coordinates()\fR. They are defined for backwards
+compatibility only and should not be used.
+.PP
+In addition \fB\s-1EC_POINT\s0\fR can be converted to and from various external
+representations. The octet form is the binary encoding of the \fBECPoint\fR
+structure (as defined in \s-1RFC5480\s0 and used in certificates and \s-1TLS\s0 records):
+only the content octets are present, the \fB\s-1OCTET STRING\s0\fR tag and length are
+not included. \fB\s-1BIGNUM\s0\fR form is the octet form interpreted as a big endian
+integer converted to a \fB\s-1BIGNUM\s0\fR structure. Hexadecimal form is the octet
+form converted to a \s-1NULL\s0 terminated character string where each character
+is one of the printable values 0\-9 or A\-F (or a\-f).
+.PP
+The functions \fBEC_POINT_point2oct()\fR, \fBEC_POINT_oct2point()\fR, \fBEC_POINT_point2bn()\fR,
+\&\fBEC_POINT_bn2point()\fR, \fBEC_POINT_point2hex()\fR and \fBEC_POINT_hex2point()\fR convert from
+and to EC_POINTs for the formats: octet, \s-1BIGNUM\s0 and hexadecimal respectively.
+.PP
+The function \fBEC_POINT_point2oct()\fR must be supplied with a buffer long enough to
+store the octet form. The return value provides the number of octets stored.
+Calling the function with a \s-1NULL\s0 buffer will not perform the conversion but
+will still return the required buffer length.
+.PP
+The function \fBEC_POINT_point2buf()\fR allocates a buffer of suitable length and
+writes an \s-1EC_POINT\s0 to it in octet format. The allocated buffer is written to
+\&\fB*pbuf\fR and its length is returned. The caller must free up the allocated
+buffer with a call to \fBOPENSSL_free()\fR. Since the allocated buffer value is
+written to \fB*pbuf\fR the \fBpbuf\fR parameter \fB\s-1MUST NOT\s0\fR be \fB\s-1NULL\s0\fR.
+.PP
+The function \fBEC_POINT_point2hex()\fR will allocate sufficient memory to store the
+hexadecimal string. It is the caller's responsibility to free this memory with
+a subsequent call to \fBOPENSSL_free()\fR.
+.SH "RETURN VALUES"
+.IX Header "RETURN VALUES"
+\&\fBEC_POINT_new()\fR and \fBEC_POINT_dup()\fR return the newly allocated \s-1EC_POINT\s0 or \s-1NULL\s0
+on error.
+.PP
+The following functions return 1 on success or 0 on error: \fBEC_POINT_copy()\fR,
+\&\fBEC_POINT_set_to_infinity()\fR, \fBEC_POINT_set_Jprojective_coordinates_GFp()\fR,
+\&\fBEC_POINT_get_Jprojective_coordinates_GFp()\fR,
+\&\fBEC_POINT_set_affine_coordinates_GFp()\fR, \fBEC_POINT_get_affine_coordinates_GFp()\fR,
+\&\fBEC_POINT_set_compressed_coordinates_GFp()\fR,
+\&\fBEC_POINT_set_affine_coordinates_GF2m()\fR, \fBEC_POINT_get_affine_coordinates_GF2m()\fR,
+\&\fBEC_POINT_set_compressed_coordinates_GF2m()\fR and \fBEC_POINT_oct2point()\fR.
+.PP
+EC_POINT_method_of returns the \s-1EC_METHOD\s0 associated with the supplied \s-1EC_POINT.\s0
+.PP
+\&\fBEC_POINT_point2oct()\fR and \fBEC_POINT_point2buf()\fR return the length of the required
+buffer or 0 on error.
+.PP
+\&\fBEC_POINT_point2bn()\fR returns the pointer to the \s-1BIGNUM\s0 supplied, or \s-1NULL\s0 on
+error.
+.PP
+\&\fBEC_POINT_bn2point()\fR returns the pointer to the \s-1EC_POINT\s0 supplied, or \s-1NULL\s0 on
+error.
+.PP
+\&\fBEC_POINT_point2hex()\fR returns a pointer to the hex string, or \s-1NULL\s0 on error.
+.PP
+\&\fBEC_POINT_hex2point()\fR returns the pointer to the \s-1EC_POINT\s0 supplied, or \s-1NULL\s0 on
+error.
+.SH "SEE ALSO"
+.IX Header "SEE ALSO"
+\&\fBcrypto\fR\|(7), \fBEC_GROUP_new\fR\|(3), \fBEC_GROUP_copy\fR\|(3),
+\&\fBEC_POINT_add\fR\|(3), \fBEC_KEY_new\fR\|(3),
+\&\fBEC_GFp_simple_method\fR\|(3), \fBd2i_ECPKParameters\fR\|(3)
+.SH "COPYRIGHT"
+.IX Header "COPYRIGHT"
+Copyright 2013\-2018 The OpenSSL Project Authors. All Rights Reserved.
+.PP
+Licensed under the OpenSSL license (the \*(L"License\*(R"). You may not use
+this file except in compliance with the License. You can obtain a copy
+in the file \s-1LICENSE\s0 in the source distribution or at
+<https://www.openssl.org/source/license.html>.