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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 deleted file mode 100644 index bf05df4ebca07..0000000000000 --- a/secure/lib/libcrypto/man/ec.3 +++ /dev/null @@ -1,329 +0,0 @@ -.\" Automatically generated by Pod::Man 4.09 (Pod::Simple 3.35) -.\" -.\" 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 -.. -.if !\nF .nr F 0 -.if \nF>0 \{\ -. de IX -. tm Index:\\$1\t\\n%\t"\\$2" -.. -. if !\nF==2 \{\ -. nr % 0 -. nr F 2 -. \} -.\} -.\" -.\" 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 "2018-08-14" "1.0.2p" "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) |