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Improve formatting for man3/EC_GROUP_new.pod
- Use `()` to qualify function names, consistently - Limit line width to 80 chars Reviewed-by: Matt Caswell <matt@openssl.org> (Merged from https://github.com/openssl/openssl/pull/9874)
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@ -66,55 +66,68 @@ L<openssl_user_macros(7)>:
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=head1 DESCRIPTION
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Within the library there are two forms of elliptic curve that are of interest. The first form is those defined over the
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prime field Fp. The elements of Fp are the integers 0 to p-1, where p is a prime number. This gives us a revised
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Within the library there are two forms of elliptic curve that are of interest.
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The first form is those defined over the prime field Fp. The elements of Fp are
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the integers 0 to p-1, where p is a prime number. This gives us a revised
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elliptic curve equation as follows:
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y^2 mod p = x^3 +ax + b mod p
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The second form is those defined over a binary field F2^m where the elements of the field are integers of length at
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most m bits. For this form the elliptic curve equation is modified to:
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The second form is those defined over a binary field F2^m where the elements of
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the field are integers of length at most m bits. For this form the elliptic
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curve equation is modified to:
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y^2 + xy = x^3 + ax^2 + b (where b != 0)
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Operations in a binary field are performed relative to an B<irreducible polynomial>. All such curves with OpenSSL
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use a trinomial or a pentanomial for this parameter.
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Operations in a binary field are performed relative to an
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B<irreducible polynomial>. All such curves with OpenSSL use a trinomial or a
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pentanomial for this parameter.
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A new curve can be constructed by calling EC_GROUP_new_ex, using the implementation provided by B<meth> (see
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L<EC_GFp_simple_method(3)>) and associated with the library context B<ctx>
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(see L<OPENSSL_CTX(3)>).
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The B<ctx> parameter may be NULL in which case the default library context is used.
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A new curve can be constructed by calling EC_GROUP_new_ex(), using the
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implementation provided by B<meth> (see L<EC_GFp_simple_method(3)>) and
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associated with the library context B<ctx> (see L<OPENSSL_CTX(3)>).
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The B<ctx> parameter may be NULL in which case the default library context is
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used.
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It is then necessary to call EC_GROUP_set_curve() to set the curve parameters.
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EC_GROUP_new_from_ecparameters() will create a group from the
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specified B<params> and
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EC_GROUP_new_from_ecpkparameters() will create a group from the specific PK B<params>.
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EC_GROUP_new_from_ecpkparameters() will create a group from the specific PK
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B<params>.
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EC_GROUP_new is the same as EC_GROUP_new_ex() except that the library context
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EC_GROUP_new() is the same as EC_GROUP_new_ex() except that the library context
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used is always the default library context.
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EC_GROUP_set_curve() sets the curve parameters B<p>, B<a> and B<b>. For a curve over Fp B<b>
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is the prime for the field. For a curve over F2^m B<p> represents the irreducible polynomial - each bit
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represents a term in the polynomial. Therefore there will either be three or five bits set dependent on whether
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the polynomial is a trinomial or a pentanomial.
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EC_GROUP_set_curve() sets the curve parameters B<p>, B<a> and B<b>. For a curve
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over Fp B<b> is the prime for the field. For a curve over F2^m B<p> represents
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the irreducible polynomial - each bit represents a term in the polynomial.
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Therefore there will either be three or five bits set dependent on whether the
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polynomial is a trinomial or a pentanomial.
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EC_group_get_curve() obtains the previously set curve parameters.
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EC_GROUP_set_curve_GFp() and EC_GROUP_set_curve_GF2m() are synonyms for EC_GROUP_set_curve(). They are defined for
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backwards compatibility only and should not be used.
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EC_GROUP_set_curve_GFp() and EC_GROUP_set_curve_GF2m() are synonyms for
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EC_GROUP_set_curve(). They are defined for backwards compatibility only and
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should not be used.
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EC_GROUP_get_curve_GFp() and EC_GROUP_get_curve_GF2m() are synonyms for EC_GROUP_get_curve(). They are defined for
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backwards compatibility only and should not be used.
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EC_GROUP_get_curve_GFp() and EC_GROUP_get_curve_GF2m() are synonyms for
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EC_GROUP_get_curve(). They are defined for backwards compatibility only and
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should not be used.
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The functions EC_GROUP_new_curve_GFp and EC_GROUP_new_curve_GF2m are shortcuts for calling EC_GROUP_new and then the
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EC_GROUP_set_curve function. An appropriate default implementation method will be used.
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The functions EC_GROUP_new_curve_GFp() and EC_GROUP_new_curve_GF2m() are
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shortcuts for calling EC_GROUP_new() and then the EC_GROUP_set_curve() function.
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An appropriate default implementation method will be used.
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Whilst the library can be used to create any curve using the functions described above, there are also a number of
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predefined curves that are available. In order to obtain a list of all of the predefined curves, call the function
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EC_get_builtin_curves(). The parameter B<r> should be an array of EC_builtin_curve structures of size B<nitems>. The function
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will populate the B<r> array with information about the built-in curves. If B<nitems> is less than the total number of
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curves available, then the first B<nitems> curves will be returned. Otherwise the total number of curves will be
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provided. The return value is the total number of curves available (whether that number has been populated in B<r> or
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not). Passing a NULL B<r>, or setting B<nitems> to 0 will do nothing other than return the total number of curves available.
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Whilst the library can be used to create any curve using the functions described
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above, there are also a number of predefined curves that are available. In order
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to obtain a list of all of the predefined curves, call the function
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EC_get_builtin_curves(). The parameter B<r> should be an array of
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EC_builtin_curve structures of size B<nitems>. The function will populate the
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B<r> array with information about the built-in curves. If B<nitems> is less than
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the total number of curves available, then the first B<nitems> curves will be
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returned. Otherwise the total number of curves will be provided. The return
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value is the total number of curves available (whether that number has been
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populated in B<r> or not). Passing a NULL B<r>, or setting B<nitems> to 0 will
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do nothing other than return the total number of curves available.
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The EC_builtin_curve structure is defined as follows:
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typedef struct {
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@ -122,31 +135,37 @@ The EC_builtin_curve structure is defined as follows:
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const char *comment;
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} EC_builtin_curve;
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Each EC_builtin_curve item has a unique integer id (B<nid>), and a human readable comment string describing the curve.
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Each EC_builtin_curve item has a unique integer id (B<nid>), and a human
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readable comment string describing the curve.
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In order to construct a built-in curve use the function EC_GROUP_new_by_curve_name_ex and provide the B<nid> of the curve to
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be constructed and the associated library context to be used in B<ctx> (see L<OPENSSL_CTX(3)>).
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The B<ctx> value may be NULL in which case the default library context is used.
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In order to construct a built-in curve use the function
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EC_GROUP_new_by_curve_name_ex() and provide the B<nid> of the curve to be
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constructed and the associated library context to be used in B<ctx> (see
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L<OPENSSL_CTX(3)>). The B<ctx> value may be NULL in which case the default
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library context is used.
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EC_GROUP_new_by_curve_name is the same as EC_GROUP_new_by_curve_name_ex except
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that the default library context is always used.
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EC_GROUP_new_by_curve_name() is the same as EC_GROUP_new_by_curve_name_ex()
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except that the default library context is always used.
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EC_GROUP_free frees the memory associated with the EC_GROUP.
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EC_GROUP_free() frees the memory associated with the EC_GROUP.
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If B<group> is NULL nothing is done.
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EC_GROUP_clear_free is deprecated: it was meant to destroy any sensitive data
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EC_GROUP_clear_free() is deprecated: it was meant to destroy any sensitive data
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held within the EC_GROUP and then free its memory, but since all the data stored
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in the EC_GROUP is public anyway, this function is unnecessary.
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Its use can be safely replaced with EC_GROUP_free.
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Its use can be safely replaced with EC_GROUP_free().
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If B<group> is NULL nothing is done.
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=head1 RETURN VALUES
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All EC_GROUP_new* functions return a pointer to the newly constructed group, or NULL on error.
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All EC_GROUP_new* functions return a pointer to the newly constructed group, or
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NULL on error.
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EC_get_builtin_curves returns the number of built-in curves that are available.
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EC_get_builtin_curves() returns the number of built-in curves that are
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available.
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EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, EC_GROUP_set_curve_GF2m, EC_GROUP_get_curve_GF2m return 1 on success or 0 on error.
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EC_GROUP_set_curve_GFp(), EC_GROUP_get_curve_GFp(), EC_GROUP_set_curve_GF2m(),
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EC_GROUP_get_curve_GF2m() return 1 on success or 0 on error.
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=head1 SEE ALSO
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@ -161,11 +180,12 @@ L<OPENSSL_CTX(3)>
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=item *
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EC_GROUP_new_ex and EC_GROUP_new_by_curve_name_ex were added in OpenSSL 3.0.
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EC_GROUP_new_ex() and EC_GROUP_new_by_curve_name_ex() were added in OpenSSL 3.0.
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=item *
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EC_GROUP_clear_free() was deprecated in OpenSSL 3.0; use EC_GROUP_free() instead.
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EC_GROUP_clear_free() was deprecated in OpenSSL 3.0; use EC_GROUP_free()
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instead.
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=back
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