diff options
Diffstat (limited to 'secure/lib/libcrypto/man/EC_POINT_new.3')
-rw-r--r-- | secure/lib/libcrypto/man/EC_POINT_new.3 | 260 |
1 files changed, 260 insertions, 0 deletions
diff --git a/secure/lib/libcrypto/man/EC_POINT_new.3 b/secure/lib/libcrypto/man/EC_POINT_new.3 new file mode 100644 index 0000000..16a26e5 --- /dev/null +++ b/secure/lib/libcrypto/man/EC_POINT_new.3 @@ -0,0 +1,260 @@ +.\" Automatically generated by Pod::Man 2.28 (Pod::Simple 3.28) +.\" +.\" Standard preamble: +.\" ======================================================================== +.de Sp \" Vertical space (when we can't use .PP) +.if t .sp .5v +.if n .sp +.. +.de Vb \" Begin verbatim text +.ft CW +.nf +.ne \\$1 +.. +.de Ve \" End verbatim text +.ft R +.fi +.. +.\" Set up some character translations and predefined strings. \*(-- will +.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left +.\" double quote, and \*(R" will give a right double quote. \*(C+ will +.\" give a nicer C++. Capital omega is used to do unbreakable dashes and +.\" therefore won't be available. \*(C` and \*(C' expand to `' in nroff, +.\" nothing in troff, for use with C<>. +.tr \(*W- +.ds C+ C\v'-.1v'\h'-1p'\s-2+\h'-1p'+\s0\v'.1v'\h'-1p' +.ie n \{\ +. ds -- \(*W- +. ds PI pi +. if (\n(.H=4u)&(1m=24u) .ds -- \(*W\h'-12u'\(*W\h'-12u'-\" diablo 10 pitch +. if (\n(.H=4u)&(1m=20u) .ds -- \(*W\h'-12u'\(*W\h'-8u'-\" diablo 12 pitch +. ds L" "" +. ds R" "" +. ds C` "" +. ds C' "" +'br\} +.el\{\ +. ds -- \|\(em\| +. ds PI \(*p +. ds L" `` +. ds R" '' +. ds C` +. ds C' +'br\} +.\" +.\" Escape single quotes in literal strings from groff's Unicode transform. +.ie \n(.g .ds Aq \(aq +.el .ds Aq ' +.\" +.\" If the F register is turned on, we'll generate index entries on stderr for +.\" titles (.TH), headers (.SH), subsections (.SS), items (.Ip), and index +.\" entries marked with X<> in POD. Of course, you'll have to process the +.\" output yourself in some meaningful fashion. +.\" +.\" Avoid warning from groff about undefined register 'F'. +.de IX +.. +.nr rF 0 +.if \n(.g .if rF .nr rF 1 +.if (\n(rF:(\n(.g==0)) \{ +. if \nF \{ +. de IX +. tm Index:\\$1\t\\n%\t"\\$2" +.. +. if !\nF==2 \{ +. nr % 0 +. nr F 2 +. \} +. \} +.\} +.rr rF +.\" +.\" Accent mark definitions (@(#)ms.acc 1.5 88/02/08 SMI; from UCB 4.2). +.\" Fear. Run. Save yourself. No user-serviceable parts. +. \" fudge factors for nroff and troff +.if n \{\ +. ds #H 0 +. ds #V .8m +. ds #F .3m +. ds #[ \f1 +. ds #] \fP +.\} +.if t \{\ +. ds #H ((1u-(\\\\n(.fu%2u))*.13m) +. ds #V .6m +. ds #F 0 +. ds #[ \& +. ds #] \& +.\} +. \" simple accents for nroff and troff +.if n \{\ +. ds ' \& +. ds ` \& +. ds ^ \& +. ds , \& +. ds ~ ~ +. ds / +.\} +.if t \{\ +. ds ' \\k:\h'-(\\n(.wu*8/10-\*(#H)'\'\h"|\\n:u" +. ds ` \\k:\h'-(\\n(.wu*8/10-\*(#H)'\`\h'|\\n:u' +. ds ^ \\k:\h'-(\\n(.wu*10/11-\*(#H)'^\h'|\\n:u' +. ds , \\k:\h'-(\\n(.wu*8/10)',\h'|\\n:u' +. ds ~ \\k:\h'-(\\n(.wu-\*(#H-.1m)'~\h'|\\n:u' +. ds / \\k:\h'-(\\n(.wu*8/10-\*(#H)'\z\(sl\h'|\\n:u' +.\} +. \" troff and (daisy-wheel) nroff accents +.ds : \\k:\h'-(\\n(.wu*8/10-\*(#H+.1m+\*(#F)'\v'-\*(#V'\z.\h'.2m+\*(#F'.\h'|\\n:u'\v'\*(#V' +.ds 8 \h'\*(#H'\(*b\h'-\*(#H' +.ds o \\k:\h'-(\\n(.wu+\w'\(de'u-\*(#H)/2u'\v'-.3n'\*(#[\z\(de\v'.3n'\h'|\\n:u'\*(#] +.ds d- \h'\*(#H'\(pd\h'-\w'~'u'\v'-.25m'\f2\(hy\fP\v'.25m'\h'-\*(#H' +.ds D- D\\k:\h'-\w'D'u'\v'-.11m'\z\(hy\v'.11m'\h'|\\n:u' +.ds th \*(#[\v'.3m'\s+1I\s-1\v'-.3m'\h'-(\w'I'u*2/3)'\s-1o\s+1\*(#] +.ds Th \*(#[\s+2I\s-2\h'-\w'I'u*3/5'\v'-.3m'o\v'.3m'\*(#] +.ds ae a\h'-(\w'a'u*4/10)'e +.ds Ae A\h'-(\w'A'u*4/10)'E +. \" corrections for vroff +.if v .ds ~ \\k:\h'-(\\n(.wu*9/10-\*(#H)'\s-2\u~\d\s+2\h'|\\n:u' +.if v .ds ^ \\k:\h'-(\\n(.wu*10/11-\*(#H)'\v'-.4m'^\v'.4m'\h'|\\n:u' +. \" for low resolution devices (crt and lpr) +.if \n(.H>23 .if \n(.V>19 \ +\{\ +. ds : e +. ds 8 ss +. ds o a +. ds d- d\h'-1'\(ga +. ds D- D\h'-1'\(hy +. ds th \o'bp' +. ds Th \o'LP' +. ds ae ae +. ds Ae AE +.\} +.rm #[ #] #H #V #F C +.\" ======================================================================== +.\" +.IX Title "EC_POINT_new 3" +.TH EC_POINT_new 3 "2015-12-03" "1.0.2e" "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_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_set_Jprojective_coordinates, EC_POINT_get_Jprojective_coordinates_GFp, 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 2 +\& #include <openssl/ec.h> +\& #include <openssl/bn.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_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); +\& 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 *, const EC_POINT *, +\& point_conversion_form_t form, BIGNUM *, BN_CTX *); +\& EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *, +\& EC_POINT *, BN_CTX *); +\& char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *, +\& point_conversion_form_t form, BN_CTX *); +\& EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *, +\& EC_POINT *, BN_CTX *); +.Ve +.SH "DESCRIPTION" +.IX Header "DESCRIPTION" +An \s-1EC_POINT\s0 represents a point on a curve. A new point is constructed by calling the function EC_POINT_new and providing the \fBgroup\fR +object that the point relates to. +.PP +EC_POINT_free frees the memory associated with the \s-1EC_POINT.\s0 +.PP +EC_POINT_clear_free destroys any sensitive data held within the \s-1EC_POINT\s0 and then frees its memory. +.PP +EC_POINT_copy copies the point \fBsrc\fR into \fBdst\fR. Both \fBsrc\fR and \fBdst\fR must use the same \s-1EC_METHOD.\s0 +.PP +EC_POINT_dup creates a new \s-1EC_POINT\s0 object and copies the content from \fBsrc\fR to the newly created +\&\s-1EC_POINT\s0 object. +.PP +EC_POINT_method_of obtains the \s-1EC_METHOD\s0 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 EC_POINT_set_to_infinity. +.PP +The affine co-ordinates for a point describe a point in terms of its x and y position. The functions +EC_POINT_set_affine_coordinates_GFp and EC_POINT_set_affine_coordinates_GF2m set the \fBx\fR and \fBy\fR co-ordinates for the point +\&\fBp\fR defined over the curve given in \fBgroup\fR. +.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 to 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 EC_POINT_set_Jprojective_coordinates_GFp and +EC_POINT_get_Jprojective_coordinates_GFp 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 EC_POINT_set_compressed_coordinates_GFp +and EC_POINT_set_compressed_coordinates_GF2m functions 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 +In addition EC_POINTs can be converted to and from various external +representations. Supported representations are octet strings, BIGNUMs and +hexadecimal. Octet strings are stored in a buffer along with an associated +buffer length. A point held in a \s-1BIGNUM\s0 is calculated by converting the point to +an octet string and then converting that octet string into a \s-1BIGNUM\s0 integer. +Points in hexadecimal format are stored in 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 EC_POINT_point2oct, EC_POINT_oct2point, EC_POINT_point2bn, EC_POINT_bn2point, EC_POINT_point2hex and EC_POINT_hex2point convert +from and to EC_POINTs for the formats: octet string, \s-1BIGNUM\s0 and hexadecimal respectively. +.PP +The function EC_POINT_point2oct must be supplied with a buffer long enough to store the octet string. 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 EC_POINT_point2hex will allocate sufficient memory to store the hexadecimal string. It is the caller's responsibility to free +this memory with a subsequent call to \fIOPENSSL_free()\fR. +.SH "RETURN VALUES" +.IX Header "RETURN VALUES" +EC_POINT_new and EC_POINT_dup 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: EC_POINT_copy, EC_POINT_set_to_infinity, EC_POINT_set_Jprojective_coordinates_GFp, +EC_POINT_get_Jprojective_coordinates_GFp, 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 and EC_POINT_oct2point. +.PP +EC_POINT_method_of returns the \s-1EC_METHOD\s0 associated with the supplied \s-1EC_POINT.\s0 +.PP +EC_POINT_point2oct returns the length of the required buffer, or 0 on error. +.PP +EC_POINT_point2bn returns the pointer to the \s-1BIGNUM\s0 supplied, or \s-1NULL\s0 on error. +.PP +EC_POINT_bn2point returns the pointer to the \s-1EC_POINT\s0 supplied, or \s-1NULL\s0 on error. +.PP +EC_POINT_point2hex returns a pointer to the hex string, or \s-1NULL\s0 on error. +.PP +EC_POINT_hex2point returns the pointer to the \s-1EC_POINT\s0 supplied, or \s-1NULL\s0 on error. +.SH "SEE ALSO" +.IX Header "SEE ALSO" +\&\fIcrypto\fR\|(3), \fIec\fR\|(3), \fIEC_GROUP_new\fR\|(3), \fIEC_GROUP_copy\fR\|(3), +\&\fIEC_POINT_add\fR\|(3), \fIEC_KEY_new\fR\|(3), +\&\fIEC_GFp_simple_method\fR\|(3), \fId2i_ECPKParameters\fR\|(3) |