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Diffstat (limited to 'secure/lib/libcrypto/man/ec.3')
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diff --git a/secure/lib/libcrypto/man/ec.3 b/secure/lib/libcrypto/man/ec.3 new file mode 100644 index 0000000..6346a15 --- /dev/null +++ b/secure/lib/libcrypto/man/ec.3 @@ -0,0 +1,333 @@ +.\" 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++. 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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 3" +.TH ec 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 \- Elliptic Curve functions +.SH "SYNOPSIS" +.IX Header "SYNOPSIS" +.Vb 2 +\& #include <openssl/ec.h> +\& #include <openssl/bn.h> +\& +\& const EC_METHOD *EC_GFp_simple_method(void); +\& const EC_METHOD *EC_GFp_mont_method(void); +\& const EC_METHOD *EC_GFp_nist_method(void); +\& const EC_METHOD *EC_GFp_nistp224_method(void); +\& const EC_METHOD *EC_GFp_nistp256_method(void); +\& const EC_METHOD *EC_GFp_nistp521_method(void); +\& +\& const EC_METHOD *EC_GF2m_simple_method(void); +\& +\& EC_GROUP *EC_GROUP_new(const EC_METHOD *meth); +\& void EC_GROUP_free(EC_GROUP *group); +\& void EC_GROUP_clear_free(EC_GROUP *group); +\& int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src); +\& EC_GROUP *EC_GROUP_dup(const EC_GROUP *src); +\& const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group); +\& int EC_METHOD_get_field_type(const EC_METHOD *meth); +\& int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor); +\& const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group); +\& int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx); +\& int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx); +\& void EC_GROUP_set_curve_name(EC_GROUP *group, int nid); +\& int EC_GROUP_get_curve_name(const EC_GROUP *group); +\& void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag); +\& int EC_GROUP_get_asn1_flag(const EC_GROUP *group); +\& void EC_GROUP_set_point_conversion_form(EC_GROUP *group, point_conversion_form_t form); +\& point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *); +\& unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x); +\& size_t EC_GROUP_get_seed_len(const EC_GROUP *); +\& size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len); +\& int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); +\& int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx); +\& int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); +\& int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx); +\& int EC_GROUP_get_degree(const EC_GROUP *group); +\& int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx); +\& int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx); +\& int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx); +\& EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); +\& EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); +\& EC_GROUP *EC_GROUP_new_by_curve_name(int nid); +\& +\& size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems); +\& +\& 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 *); +\& +\& 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); +\& +\& int EC_GROUP_get_basis_type(const EC_GROUP *); +\& int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k); +\& int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1, +\& unsigned int *k2, unsigned int *k3); +\& EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len); +\& int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out); +\& #define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x) +\& #define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x) +\& #define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \e +\& (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x)) +\& #define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \e +\& (unsigned char *)(x)) +\& int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off); +\& int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off); +\& +\& EC_KEY *EC_KEY_new(void); +\& int EC_KEY_get_flags(const EC_KEY *key); +\& void EC_KEY_set_flags(EC_KEY *key, int flags); +\& void EC_KEY_clear_flags(EC_KEY *key, int flags); +\& EC_KEY *EC_KEY_new_by_curve_name(int nid); +\& void EC_KEY_free(EC_KEY *key); +\& EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src); +\& EC_KEY *EC_KEY_dup(const EC_KEY *src); +\& int EC_KEY_up_ref(EC_KEY *key); +\& const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key); +\& int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group); +\& const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key); +\& int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv); +\& const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key); +\& int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub); +\& unsigned EC_KEY_get_enc_flags(const EC_KEY *key); +\& void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags); +\& point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key); +\& void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform); +\& void *EC_KEY_get_key_method_data(EC_KEY *key, +\& void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); +\& void EC_KEY_insert_key_method_data(EC_KEY *key, void *data, +\& void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); +\& void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag); +\& int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx); +\& int EC_KEY_generate_key(EC_KEY *key); +\& int EC_KEY_check_key(const EC_KEY *key); +\& int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, BIGNUM *y); +\& +\& EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len); +\& int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out); +\& +\& EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len); +\& int i2d_ECParameters(EC_KEY *key, unsigned char **out); +\& +\& EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len); +\& int i2o_ECPublicKey(EC_KEY *key, unsigned char **out); +\& int ECParameters_print(BIO *bp, const EC_KEY *key); +\& int EC_KEY_print(BIO *bp, const EC_KEY *key, int off); +\& int ECParameters_print_fp(FILE *fp, const EC_KEY *key); +\& int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off); +\& #define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x) +\& #define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \e +\& EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \e +\& EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL) +.Ve +.SH "DESCRIPTION" +.IX Header "DESCRIPTION" +This library provides an extensive set of functions for performing operations on elliptic curves over finite fields. +In general an elliptic curve is one with an equation of the form: +.PP +y^2 = x^3 + ax + b +.PP +An \fB\s-1EC_GROUP\s0\fR structure is used to represent the definition of an elliptic curve. Points on a curve are stored using an +\&\fB\s-1EC_POINT\s0\fR structure. An \fB\s-1EC_KEY\s0\fR is used to hold a private/public key pair, where a private key is simply a \s-1BIGNUM\s0 and a +public key is a point on a curve (represented by an \fB\s-1EC_POINT\s0\fR). +.PP +The library contains a number of alternative implementations of the different functions. Each implementation is optimised +for different scenarios. No matter which implementation is being used, the interface remains the same. The library +handles calling the correct implementation when an interface function is invoked. An implementation is represented by +an \fB\s-1EC_METHOD\s0\fR structure. +.PP +The creation and destruction of \fB\s-1EC_GROUP\s0\fR objects is described in \fIEC_GROUP_new\fR\|(3). Functions for +manipulating \fB\s-1EC_GROUP\s0\fR objects are described in \fIEC_GROUP_copy\fR\|(3). +.PP +Functions for creating, destroying and manipulating \fB\s-1EC_POINT\s0\fR objects are explained in \fIEC_POINT_new\fR\|(3), +whilst functions for performing mathematical operations and tests on \fBEC_POINTs\fR are coverd in \fIEC_POINT_add\fR\|(3). +.PP +For working with private and public keys refer to \fIEC_KEY_new\fR\|(3). Implementations are covered in +\&\fIEC_GFp_simple_method\fR\|(3). +.PP +For information on encoding and decoding curve parameters to and from \s-1ASN1\s0 see \fId2i_ECPKParameters\fR\|(3). +.SH "SEE ALSO" +.IX Header "SEE ALSO" +\&\fIcrypto\fR\|(3), \fIEC_GROUP_new\fR\|(3), \fIEC_GROUP_copy\fR\|(3), +\&\fIEC_POINT_new\fR\|(3), \fIEC_POINT_add\fR\|(3), \fIEC_KEY_new\fR\|(3), +\&\fIEC_GFp_simple_method\fR\|(3), \fId2i_ECPKParameters\fR\|(3) |
