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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"><html><head><meta http-equiv="Content-Type" content="text/html;charset=iso-8859-1"><title>Crypto++: DL_GroupParameters_DSA class Reference</title><link href="doxygen.css" rel="stylesheet" type="text/css"></head><body><!-- Generated by Doxygen 1.3.2 --><div class="qindex"><a class="qindex" href="index.html">Main Page</a> | <a class="qindex" href="namespaces.html">Namespace List</a> | <a class="qindex" href="hierarchy.html">Class Hierarchy</a> | <a class="qindex" href="classes.html">Alphabetical List</a> | <a class="qindex" href="annotated.html">Compound List</a> | <a class="qindex" href="files.html">File List</a> | <a class="qindex" href="namespacemembers.html">Namespace Members</a> | <a class="qindex" href="functions.html">Compound Members</a> | <a class="qindex" href="globals.html">File Members</a></div><h1>DL_GroupParameters_DSA Class Reference</h1><code>#include <<a class="el" href="gfpcrypt_8h-source.html">gfpcrypt.h</a>></code><p><p>Inheritance diagram for DL_GroupParameters_DSA:<p><center><img src="class_d_l___group_parameters___d_s_a.png" usemap="#DL_GroupParameters_DSA_map" border="0" alt=""></center><map name="DL_GroupParameters_DSA_map"><area href="class_d_l___group_parameters___g_f_p.html" alt="DL_GroupParameters_GFP" shape="rect" coords="747,448,1733,472"><area href="class_d_l___group_parameters___integer_based_impl.html" alt="DL_GroupParameters_IntegerBasedImpl< ModExpPrecomputation >" shape="rect" coords="747,392,1733,416"><area href="class_d_l___group_parameters_impl.html" alt="DL_GroupParametersImpl< ModExpPrecomputation, DL_FixedBasePrecomputationImpl< typenameModExpPrecomputation::Element >, DL_GroupParameters_IntegerBased >" shape="rect" coords="747,336,1733,360"><area href="class_d_l___group_parameters___integer_based.html" alt="DL_GroupParameters_IntegerBased" shape="rect" coords="747,280,1733,304"><area href="class_d_l___group_parameters.html" alt="DL_GroupParameters< Integer >" shape="rect" coords="0,224,986,248"><area href="class_a_s_n1_crypto_material.html" alt="ASN1CryptoMaterial" shape="rect" coords="1494,224,2480,248"><area href="class_crypto_parameters.html" alt="CryptoParameters" shape="rect" coords="0,168,986,192"><area href="class_a_s_n1_object.html" alt="ASN1Object" shape="rect" coords="996,168,1982,192"><area href="class_crypto_material.html" alt="CryptoMaterial" shape="rect" coords="1992,168,2978,192"><area href="class_generatable_crypto_material.html" alt="GeneratableCryptoMaterial" shape="rect" coords="0,112,986,136"><area href="class_name_value_pairs.html" alt="NameValuePairs" shape="rect" coords="1992,112,2978,136"><area href="class_crypto_material.html" alt="CryptoMaterial" shape="rect" coords="0,56,986,80"><area href="class_name_value_pairs.html" alt="NameValuePairs" shape="rect" coords="0,0,986,24"></map><a href="class_d_l___group_parameters___d_s_a-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2><p><p>Definition at line <a class="el" href="gfpcrypt_8h-source.html#l00365">365</a> of file <a class="el" href="gfpcrypt_8h-source.html">gfpcrypt.h</a>.<table border=0 cellpadding=0 cellspacing=0><tr><td></td></tr><tr><td colspan=2><br><h2>Public Types</h2></td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters___integer_based_implw0" doxytag="DL_GroupParameters_DSA::Element"></a>typedef ModExpPrecomputation::Element </td><td class="memItemRight" valign=bottom><b>Element</b></td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_implw0" doxytag="DL_GroupParameters_DSA::GroupPrecomputation"></a>typedef ModExpPrecomputation </td><td class="memItemRight" valign=bottom><b>GroupPrecomputation</b></td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_implw2" doxytag="DL_GroupParameters_DSA::BasePrecomputation"></a>typedef DL_FixedBasePrecomputationImpl<<br> typenameModExpPrecomputation::Element > </td><td class="memItemRight" valign=bottom><b>BasePrecomputation</b></td></tr><tr><td colspan=2><br><h2>Public Member Functions</h2></td></tr><tr><td class="memItemLeft" nowrap align=right valign=top>bool </td><td class="memItemRight" valign=bottom><a class="el" href="class_d_l___group_parameters___d_s_a.html#_d_l___group_parameters___d_s_aa0">ValidateGroup</a> (<a class="el" href="class_random_number_generator.html">RandomNumberGenerator</a> &rng, unsigned int level) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top>void </td><td class="memItemRight" valign=bottom><a class="el" href="class_d_l___group_parameters___d_s_a.html#_d_l___group_parameters___d_s_aa1">GenerateRandom</a> (<a class="el" href="class_random_number_generator.html">RandomNumberGenerator</a> &rng, const <a class="el" href="class_name_value_pairs.html">NameValuePairs</a> &alg)</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters___g_f_p___default_safe_primea0" doxytag="DL_GroupParameters_DSA::IsIdentity"></a>bool </td><td class="memItemRight" valign=bottom><b>IsIdentity</b> (const <a class="el" href="class_integer.html">Integer</a> &element) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parametersa25" doxytag="DL_GroupParameters_DSA::IsIdentity"></a>virtual bool </td><td class="memItemRight" valign=bottom><b>IsIdentity</b> (const Element &element) const=0</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters___g_f_p___default_safe_primea2" doxytag="DL_GroupParameters_DSA::SimultaneousExponentiate"></a>void </td><td class="memItemRight" valign=bottom><b>SimultaneousExponentiate</b> (Element *results, const Element &base, const <a class="el" href="class_integer.html">Integer</a> *exponents, unsigned int exponentsCount) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters___g_f_p___default_safe_primea3" doxytag="DL_GroupParameters_DSA::GetVoidValue"></a>bool </td><td class="memItemRight" valign=bottom><a class="el" href="class_d_l___group_parameters___d_s_a.html#_d_l___group_parameters___g_f_p___default_safe_primea3">GetVoidValue</a> (const char *name, const std::type_info &valueType, void *pValue) const</td></tr><tr><td class="mdescLeft"> </td><td class="mdescRight">to be implemented by derived classes, users should use one of the above functions instead <br><br></td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters___g_f_p___default_safe_primea4" doxytag="DL_GroupParameters_DSA::MultiplyElements"></a>Element </td><td class="memItemRight" valign=bottom><b>MultiplyElements</b> (const Element &a, const Element &b) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters___g_f_p___default_safe_primea5" doxytag="DL_GroupParameters_DSA::CascadeExponentiate"></a>Element </td><td class="memItemRight" valign=bottom><b>CascadeExponentiate</b> (const Element &element1, const <a class="el" href="class_integer.html">Integer</a> &exponent1, const Element &element2, const <a class="el" href="class_integer.html">Integer</a> &exponent2) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top>void </td><td class="memItemRight" valign=bottom><a class="el" href="class_d_l___group_parameters___d_s_a.html#_d_l___group_parameters___integer_based_impla1">AssignFrom</a> (const <a class="el" href="class_name_value_pairs.html">NameValuePairs</a> &source)</td></tr><tr><td class="mdescLeft"> </td><td class="mdescRight">assign values from source to this object </em> <a href="#_d_l___group_parameters___integer_based_impla1"></a><em><br><br></td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters___integer_based_impla2" doxytag="DL_GroupParameters_DSA::GetBasePrecomputation"></a>const DL_FixedBasePrecomputation<<br> Element > & </td><td class="memItemRight" valign=bottom><b>GetBasePrecomputation</b> () const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters___integer_based_impla3" doxytag="DL_GroupParameters_DSA::AccessBasePrecomputation"></a>DL_FixedBasePrecomputation<<br> Element > & </td><td class="memItemRight" valign=bottom><b>AccessBasePrecomputation</b> ()</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters___integer_based_impla4" doxytag="DL_GroupParameters_DSA::GetModulus"></a>const <a class="el" href="class_integer.html">Integer</a> & </td><td class="memItemRight" valign=bottom><b>GetModulus</b> () const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters___integer_based_impla5" doxytag="DL_GroupParameters_DSA::GetGenerator"></a>const <a class="el" href="class_integer.html">Integer</a> & </td><td class="memItemRight" valign=bottom><b>GetGenerator</b> () const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters___integer_based_impla6" doxytag="DL_GroupParameters_DSA::SetModulusAndSubgroupGenerator"></a>void </td><td class="memItemRight" valign=bottom><b>SetModulusAndSubgroupGenerator</b> (const <a class="el" href="class_integer.html">Integer</a> &p, const <a class="el" href="class_integer.html">Integer</a> &g)</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters___integer_based_impla7" doxytag="DL_GroupParameters_DSA::operator=="></a>bool </td><td class="memItemRight" valign=bottom><b>operator==</b> (const <a class="el" href="class_d_l___group_parameters___integer_based_impl.html">DL_GroupParameters_IntegerBasedImpl</a>< ModExpPrecomputation, DL_FixedBasePrecomputationImpl< typenameModExpPrecomputation::Element > > &rhs) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impla3" doxytag="DL_GroupParameters_DSA::operator=="></a>bool </td><td class="memItemRight" valign=bottom><b>operator==</b> (const <a class="el" href="class_d_l___group_parameters_impl.html">DL_GroupParametersImpl</a>< ModExpPrecomputation, DL_FixedBasePrecomputationImpl< typenameModExpPrecomputation::Element >, <a class="el" href="class_d_l___group_parameters___integer_based.html">DL_GroupParameters_IntegerBased</a> > &rhs) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters___integer_based_impla8" doxytag="DL_GroupParameters_DSA::operator!="></a>bool </td><td class="memItemRight" valign=bottom><b>operator!=</b> (const <a class="el" href="class_d_l___group_parameters___integer_based_impl.html">DL_GroupParameters_IntegerBasedImpl</a>< ModExpPrecomputation, DL_FixedBasePrecomputationImpl< typenameModExpPrecomputation::Element > > &rhs) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impla0" doxytag="DL_GroupParameters_DSA::GetGroupPrecomputation"></a>const DL_GroupPrecomputation<<br> Element > & </td><td class="memItemRight" valign=bottom><b>GetGroupPrecomputation</b> () const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a4" doxytag="DL_GroupParameters_DSA::Initialize"></a>void </td><td class="memItemRight" valign=bottom><b>Initialize</b> (const <a class="el" href="class_d_l___group_parameters___integer_based.html">DL_GroupParameters_IntegerBased</a> &params)</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a5" doxytag="DL_GroupParameters_DSA::Initialize"></a>void </td><td class="memItemRight" valign=bottom><b>Initialize</b> (<a class="el" href="class_random_number_generator.html">RandomNumberGenerator</a> &rng, unsigned int pbits)</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a6" doxytag="DL_GroupParameters_DSA::Initialize"></a>void </td><td class="memItemRight" valign=bottom><b>Initialize</b> (const <a class="el" href="class_integer.html">Integer</a> &p, const <a class="el" href="class_integer.html">Integer</a> &g)</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a7" doxytag="DL_GroupParameters_DSA::Initialize"></a>void </td><td class="memItemRight" valign=bottom><b>Initialize</b> (const <a class="el" href="class_integer.html">Integer</a> &p, const <a class="el" href="class_integer.html">Integer</a> &q, const <a class="el" href="class_integer.html">Integer</a> &g)</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a8" doxytag="DL_GroupParameters_DSA::BERDecode"></a>void </td><td class="memItemRight" valign=bottom><a class="el" href="class_d_l___group_parameters___d_s_a.html#_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a8">BERDecode</a> (<a class="el" href="class_buffered_transformation.html">BufferedTransformation</a> &bt)</td></tr><tr><td class="mdescLeft"> </td><td class="mdescRight">decode this object from a <a class="el" href="class_buffered_transformation.html">BufferedTransformation</a>, using BER (Basic Encoding Rules) <br><br></td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a9" doxytag="DL_GroupParameters_DSA::DEREncode"></a>void </td><td class="memItemRight" valign=bottom><a class="el" href="class_d_l___group_parameters___d_s_a.html#_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a9">DEREncode</a> (<a class="el" href="class_buffered_transformation.html">BufferedTransformation</a> &bt) const</td></tr><tr><td class="mdescLeft"> </td><td class="mdescRight">encode this object into a <a class="el" href="class_buffered_transformation.html">BufferedTransformation</a>, using DER (Distinguished Encoding Rules) <br><br></td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a13" doxytag="DL_GroupParameters_DSA::GetSubgroupOrder"></a>const <a class="el" href="class_integer.html">Integer</a> & </td><td class="memItemRight" valign=bottom><b>GetSubgroupOrder</b> () const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a14" doxytag="DL_GroupParameters_DSA::GetGroupOrder"></a><a class="el" href="class_integer.html">Integer</a> </td><td class="memItemRight" valign=bottom><b>GetGroupOrder</b> () const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a16" doxytag="DL_GroupParameters_DSA::ValidateElement"></a>bool </td><td class="memItemRight" valign=bottom><b>ValidateElement</b> (unsigned int level, const <a class="el" href="class_integer.html">Integer</a> &element, const DL_FixedBasePrecomputation< <a class="el" href="class_integer.html">Integer</a> > *precomp) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parametersa23" doxytag="DL_GroupParameters_DSA::ValidateElement"></a>virtual bool </td><td class="memItemRight" valign=bottom><b>ValidateElement</b> (unsigned int level, const Element &element, const DL_FixedBasePrecomputation< Element > *precomp) const=0</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a18" doxytag="DL_GroupParameters_DSA::FastSubgroupCheckAvailable"></a>bool </td><td class="memItemRight" valign=bottom><b>FastSubgroupCheckAvailable</b> () const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a19" doxytag="DL_GroupParameters_DSA::EncodeElement"></a>void </td><td class="memItemRight" valign=bottom><b>EncodeElement</b> (bool reversible, const Element &element, byte *encoded) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a20" doxytag="DL_GroupParameters_DSA::GetEncodedElementSize"></a>unsigned int </td><td class="memItemRight" valign=bottom><b>GetEncodedElementSize</b> (bool reversible) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a21" doxytag="DL_GroupParameters_DSA::DecodeElement"></a><a class="el" href="class_integer.html">Integer</a> </td><td class="memItemRight" valign=bottom><b>DecodeElement</b> (const byte *encoded, bool checkForGroupMembership) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a22" doxytag="DL_GroupParameters_DSA::ConvertElementToInteger"></a><a class="el" href="class_integer.html">Integer</a> </td><td class="memItemRight" valign=bottom><b>ConvertElementToInteger</b> (const Element &element) const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a23" doxytag="DL_GroupParameters_DSA::GetMaxExponent"></a><a class="el" href="class_integer.html">Integer</a> </td><td class="memItemRight" valign=bottom><b>GetMaxExponent</b> () const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a24" doxytag="DL_GroupParameters_DSA::GetAlgorithmID"></a><a class="el" href="class_o_i_d.html">OID</a> </td><td class="memItemRight" valign=bottom><b>GetAlgorithmID</b> () const</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parameters_impl_3_01_mod_exp_precomputation_00_01_d_l___fixed_base_precomputation_impl_3_01typename_mod_exp_precomputation_1_1_element_01_4_00_01_d_l___group_parameters___integer_based_01_4a27" doxytag="DL_GroupParameters_DSA::SetSubgroupOrder"></a>void </td><td class="memItemRight" valign=bottom><b>SetSubgroupOrder</b> (const <a class="el" href="class_integer.html">Integer</a> &q)</td></tr><tr><td class="memItemLeft" nowrap align=right valign=top>bool </td><td class="memItemRight" valign=bottom><a class="el" href="class_d_l___group_parameters___d_s_a.html#_d_l___group_parametersa1">Validate</a> (<a class="el" href="class_random_number_generator.html">RandomNumberGenerator</a> &rng, unsigned int level) const</td></tr><tr><td class="mdescLeft"> </td><td class="mdescRight">check this object for errors </em> <a href="#_d_l___group_parametersa1"></a><em><br><br></td></tr><tr><td class="memItemLeft" nowrap align=right valign=top><a name="_d_l___group_parametersa3" doxytag="DL_GroupParameters_DSA::SupportsPrecomputation"></a>bool </td><td class="memItemRight" valign=bottom><a class="el" href="class_d_l___group_parameters___d_s_a.html#_d_l___group_parametersa3">SupportsPrecomputation</a> () const</td></tr><tr><td class="mdescLeft"> </td><td class="mdescRight"><dl compact><dt><b>Returns:</b></dt><dd>whether this object supports precomputation </dd></dl><br><br></td></tr><tr><td class="memItemLeft" nowrap align=right valign=top>void </td><td class="memItemRight" valign=bottom><a class="el" href="class_d_l___group_parameters___d_s_a.html#_d_l___group_parametersa4">Precompute</a> (unsigned int precomputationStorage=16)</td></tr>⌨️ 快捷键说明
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