forked from cory/tildefriends
Cory McWilliams
09ddfffa6b
git-svn-id: https://www.unprompted.com/svn/projects/tildefriends/trunk@4088 ed5197a5-7fde-0310-b194-c3ffbd925b24
360 lines
17 KiB
Groff
360 lines
17 KiB
Groff
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.\" ========================================================================
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.\"
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.IX Title "EC_POINT_NEW 3"
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.TH EC_POINT_NEW 3 "2020-04-21" "1.1.1g" "OpenSSL"
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.\" For nroff, turn off justification. Always turn off hyphenation; it makes
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.\" way too many mistakes in technical documents.
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.if n .ad l
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.nh
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.SH "NAME"
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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
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.SH "SYNOPSIS"
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.IX Header "SYNOPSIS"
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.Vb 1
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\& #include <openssl/ec.h>
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\&
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\& EC_POINT *EC_POINT_new(const EC_GROUP *group);
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\& void EC_POINT_free(EC_POINT *point);
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\& void EC_POINT_clear_free(EC_POINT *point);
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\& int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
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\& EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
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\& const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
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\& int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
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\& int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
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\& EC_POINT *p,
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\& const BIGNUM *x, const BIGNUM *y,
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\& const BIGNUM *z, BN_CTX *ctx);
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\& int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
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\& const EC_POINT *p,
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\& BIGNUM *x, BIGNUM *y, BIGNUM *z,
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\& BN_CTX *ctx);
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\& int EC_POINT_set_affine_coordinates(const EC_GROUP *group, EC_POINT *p,
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\& const BIGNUM *x, const BIGNUM *y,
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\& BN_CTX *ctx);
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\& int EC_POINT_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *p,
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\& BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
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\& int EC_POINT_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *p,
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\& const BIGNUM *x, int y_bit,
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\& BN_CTX *ctx);
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\& int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
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\& const BIGNUM *x, const BIGNUM *y,
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\& BN_CTX *ctx);
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\& int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
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\& const EC_POINT *p,
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\& BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
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\& int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group,
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\& EC_POINT *p,
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\& const BIGNUM *x, int y_bit,
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\& BN_CTX *ctx);
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\& int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
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\& const BIGNUM *x, const BIGNUM *y,
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\& BN_CTX *ctx);
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\& int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
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\& const EC_POINT *p,
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\& BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
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\& int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group,
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\& EC_POINT *p,
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\& const BIGNUM *x, int y_bit,
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\& BN_CTX *ctx);
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\& size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
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\& point_conversion_form_t form,
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\& unsigned char *buf, size_t len, BN_CTX *ctx);
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\& size_t EC_POINT_point2buf(const EC_GROUP *group, const EC_POINT *point,
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\& point_conversion_form_t form,
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\& unsigned char **pbuf, BN_CTX *ctx);
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\& int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
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\& const unsigned char *buf, size_t len, BN_CTX *ctx);
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\& BIGNUM *EC_POINT_point2bn(const EC_GROUP *group, const EC_POINT *p,
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\& point_conversion_form_t form, BIGNUM *bn,
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\& BN_CTX *ctx);
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\& EC_POINT *EC_POINT_bn2point(const EC_GROUP *group, const BIGNUM *bn,
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\& EC_POINT *p, BN_CTX *ctx);
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\& char *EC_POINT_point2hex(const EC_GROUP *group, const EC_POINT *p,
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\& point_conversion_form_t form, BN_CTX *ctx);
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\& EC_POINT *EC_POINT_hex2point(const EC_GROUP *group, const char *hex,
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\& EC_POINT *p, BN_CTX *ctx);
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.Ve
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.SH "DESCRIPTION"
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.IX Header "DESCRIPTION"
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An \fB\s-1EC_POINT\s0\fR structure represents a point on a curve. A new point is
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constructed by calling the function \fBEC_POINT_new()\fR and providing the
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\&\fBgroup\fR object that the point relates to.
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.PP
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\&\fBEC_POINT_free()\fR frees the memory associated with the \fB\s-1EC_POINT\s0\fR.
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if \fBpoint\fR is \s-1NULL\s0 nothing is done.
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.PP
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\&\fBEC_POINT_clear_free()\fR destroys any sensitive data held within the \s-1EC_POINT\s0 and
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then frees its memory. If \fBpoint\fR is \s-1NULL\s0 nothing is done.
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.PP
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\&\fBEC_POINT_copy()\fR copies the point \fBsrc\fR into \fBdst\fR. Both \fBsrc\fR and \fBdst\fR
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must use the same \fB\s-1EC_METHOD\s0\fR.
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.PP
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\&\fBEC_POINT_dup()\fR creates a new \fB\s-1EC_POINT\s0\fR object and copies the content from
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\&\fBsrc\fR to the newly created \fB\s-1EC_POINT\s0\fR object.
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.PP
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\&\fBEC_POINT_method_of()\fR obtains the \fB\s-1EC_METHOD\s0\fR associated with \fBpoint\fR.
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.PP
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A valid point on a curve is the special point at infinity. A point is set to
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be at infinity by calling \fBEC_POINT_set_to_infinity()\fR.
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.PP
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The affine co-ordinates for a point describe a point in terms of its x and y
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position. The function \fBEC_POINT_set_affine_coordinates()\fR sets the \fBx\fR and \fBy\fR
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co-ordinates for the point \fBp\fR defined over the curve given in \fBgroup\fR. The
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function \fBEC_POINT_get_affine_coordinates()\fR sets \fBx\fR and \fBy\fR, either of which
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may be \s-1NULL,\s0 to the corresponding coordinates of \fBp\fR.
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.PP
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The functions \fBEC_POINT_set_affine_coordinates_GFp()\fR and
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\&\fBEC_POINT_set_affine_coordinates_GF2m()\fR are synonyms for
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\&\fBEC_POINT_set_affine_coordinates()\fR. They are defined for backwards compatibility
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only and should not be used.
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.PP
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The functions \fBEC_POINT_get_affine_coordinates_GFp()\fR and
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\&\fBEC_POINT_get_affine_coordinates_GF2m()\fR are synonyms for
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\&\fBEC_POINT_get_affine_coordinates()\fR. They are defined for backwards compatibility
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only and should not be used.
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.PP
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As well as the affine co-ordinates, a point can alternatively be described in
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terms of its Jacobian projective co-ordinates (for Fp curves only). Jacobian
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projective co-ordinates are expressed as three values x, y and z. Working in
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this co-ordinate system provides more efficient point multiplication
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operations. A mapping exists between Jacobian projective co-ordinates and
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affine co-ordinates. A Jacobian projective co-ordinate (x, y, z) can be written
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as an affine co-ordinate as (x/(z^2), y/(z^3)). Conversion to Jacobian
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projective from affine co-ordinates is simple. The co-ordinate (x, y) is mapped
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to (x, y, 1). To set or get the projective co-ordinates use
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\&\fBEC_POINT_set_Jprojective_coordinates_GFp()\fR and
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\&\fBEC_POINT_get_Jprojective_coordinates_GFp()\fR respectively.
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.PP
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Points can also be described in terms of their compressed co-ordinates. For a
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point (x, y), for any given value for x such that the point is on the curve
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there will only ever be two possible values for y. Therefore a point can be set
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using the \fBEC_POINT_set_compressed_coordinates()\fR function where \fBx\fR is the x
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co-ordinate and \fBy_bit\fR is a value 0 or 1 to identify which of the two
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possible values for y should be used.
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.PP
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The functions \fBEC_POINT_set_compressed_coordinates_GFp()\fR and
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\&\fBEC_POINT_set_compressed_coordinates_GF2m()\fR are synonyms for
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\&\fBEC_POINT_set_compressed_coordinates()\fR. They are defined for backwards
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compatibility only and should not be used.
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.PP
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In addition \fB\s-1EC_POINT\s0\fR can be converted to and from various external
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representations. The octet form is the binary encoding of the \fBECPoint\fR
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structure (as defined in \s-1RFC5480\s0 and used in certificates and \s-1TLS\s0 records):
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only the content octets are present, the \fB\s-1OCTET STRING\s0\fR tag and length are
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not included. \fB\s-1BIGNUM\s0\fR form is the octet form interpreted as a big endian
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integer converted to a \fB\s-1BIGNUM\s0\fR structure. Hexadecimal form is the octet
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form converted to a \s-1NULL\s0 terminated character string where each character
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is one of the printable values 0\-9 or A\-F (or a\-f).
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.PP
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The functions \fBEC_POINT_point2oct()\fR, \fBEC_POINT_oct2point()\fR, \fBEC_POINT_point2bn()\fR,
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\&\fBEC_POINT_bn2point()\fR, \fBEC_POINT_point2hex()\fR and \fBEC_POINT_hex2point()\fR convert from
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and to EC_POINTs for the formats: octet, \s-1BIGNUM\s0 and hexadecimal respectively.
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.PP
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The function \fBEC_POINT_point2oct()\fR encodes the given curve point \fBp\fR as an
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octet string into the buffer \fBbuf\fR of size \fBlen\fR, using the specified
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conversion form \fBform\fR.
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The encoding conforms with Sec. 2.3.3 of the \s-1SECG SEC 1\s0 (\*(L"Elliptic Curve
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Cryptography\*(R") standard.
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Similarly the function \fBEC_POINT_oct2point()\fR decodes a curve point into \fBp\fR from
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the octet string contained in the given buffer \fBbuf\fR of size \fBlen\fR, conforming
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to Sec. 2.3.4 of the \s-1SECG SEC 1\s0 (\*(L"Elliptic Curve Cryptography\*(R") standard.
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.PP
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The functions \fBEC_POINT_point2hex()\fR and \fBEC_POINT_point2bn()\fR convert a point \fBp\fR,
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respectively, to the hexadecimal or \s-1BIGNUM\s0 representation of the same
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encoding of the function \fBEC_POINT_point2oct()\fR.
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Vice versa, similarly to the function \fBEC_POINT_oct2point()\fR, the functions
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\&\fBEC_POINT_hex2point()\fR and \fBEC_POINT_point2bn()\fR decode the hexadecimal or
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\&\s-1BIGNUM\s0 representation into the \s-1EC_POINT\s0 \fBp\fR.
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.PP
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Notice that, according to the standard, the octet string encoding of the point
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at infinity for a given curve is fixed to a single octet of value zero and that,
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vice versa, a single octet of size zero is decoded as the point at infinity.
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.PP
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The function \fBEC_POINT_point2oct()\fR must be supplied with a buffer long enough to
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store the octet form. The return value provides the number of octets stored.
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Calling the function with a \s-1NULL\s0 buffer will not perform the conversion but
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will still return the required buffer length.
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.PP
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The function \fBEC_POINT_point2buf()\fR allocates a buffer of suitable length and
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writes an \s-1EC_POINT\s0 to it in octet format. The allocated buffer is written to
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\&\fB*pbuf\fR and its length is returned. The caller must free up the allocated
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buffer with a call to \fBOPENSSL_free()\fR. Since the allocated buffer value is
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written to \fB*pbuf\fR the \fBpbuf\fR parameter \fB\s-1MUST NOT\s0\fR be \fB\s-1NULL\s0\fR.
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.PP
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The function \fBEC_POINT_point2hex()\fR will allocate sufficient memory to store the
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hexadecimal string. It is the caller's responsibility to free this memory with
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a subsequent call to \fBOPENSSL_free()\fR.
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.SH "RETURN VALUES"
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.IX Header "RETURN VALUES"
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\&\fBEC_POINT_new()\fR and \fBEC_POINT_dup()\fR return the newly allocated \s-1EC_POINT\s0 or \s-1NULL\s0
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on error.
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.PP
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The following functions return 1 on success or 0 on error: \fBEC_POINT_copy()\fR,
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\&\fBEC_POINT_set_to_infinity()\fR, \fBEC_POINT_set_Jprojective_coordinates_GFp()\fR,
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\&\fBEC_POINT_get_Jprojective_coordinates_GFp()\fR,
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\&\fBEC_POINT_set_affine_coordinates_GFp()\fR, \fBEC_POINT_get_affine_coordinates_GFp()\fR,
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\&\fBEC_POINT_set_compressed_coordinates_GFp()\fR,
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\&\fBEC_POINT_set_affine_coordinates_GF2m()\fR, \fBEC_POINT_get_affine_coordinates_GF2m()\fR,
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|
\&\fBEC_POINT_set_compressed_coordinates_GF2m()\fR and \fBEC_POINT_oct2point()\fR.
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|
.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.
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|
.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.
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|
.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>.
|