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<?xml version="1.0" encoding="UTF-8"?>
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<title>Crypto/Types/PubKey/DSA.hs</title>
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<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE DeriveDataTypeable #-}</span>
<a name="line-2"></a><span class='hs-comment'>-- |</span>
<a name="line-3"></a><span class='hs-comment'>-- Module      : Crypto.Types.PubKey.DSA</span>
<a name="line-4"></a><span class='hs-comment'>-- License     : BSD-style</span>
<a name="line-5"></a><span class='hs-comment'>-- Maintainer  : Vincent Hanquez &lt;vincent@snarc.org&gt;</span>
<a name="line-6"></a><span class='hs-comment'>-- Stability   : Stable</span>
<a name="line-7"></a><span class='hs-comment'>-- Portability : Excellent</span>
<a name="line-8"></a><span class='hs-comment'>--</span>
<a name="line-9"></a><span class='hs-comment'>-- references:</span>
<a name="line-10"></a><span class='hs-comment'>--   &lt;https://tools.ietf.org/html/rfc6979&gt;</span>
<a name="line-11"></a><span class='hs-comment'>--</span>
<a name="line-12"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Crypto</span><span class='hs-varop'>.</span><span class='hs-conid'>Types</span><span class='hs-varop'>.</span><span class='hs-conid'>PubKey</span><span class='hs-varop'>.</span><span class='hs-conid'>DSA</span>
<a name="line-13"></a>    <span class='hs-layout'>(</span> <span class='hs-conid'>Params</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-14"></a>    <span class='hs-layout'>,</span> <span class='hs-conid'>Signature</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-15"></a>    <span class='hs-layout'>,</span> <span class='hs-conid'>PublicNumber</span>
<a name="line-16"></a>    <span class='hs-layout'>,</span> <span class='hs-conid'>PublicKey</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-17"></a>    <span class='hs-layout'>,</span> <span class='hs-conid'>PrivateNumber</span>
<a name="line-18"></a>    <span class='hs-layout'>,</span> <span class='hs-conid'>PrivateKey</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-19"></a>    <span class='hs-layout'>,</span> <span class='hs-conid'>KeyPair</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-20"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>toPublicKey</span>
<a name="line-21"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>toPrivateKey</span>
<a name="line-22"></a>    <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-23"></a>
<a name="line-24"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Data</span>
<a name="line-25"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>ASN1</span><span class='hs-varop'>.</span><span class='hs-conid'>Types</span>
<a name="line-26"></a>
<a name="line-27"></a><a name="PublicNumber"></a><span class='hs-comment'>-- | DSA Public Number, usually embedded in DSA Public Key</span>
<a name="line-28"></a><a name="PublicNumber"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>PublicNumber</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Integer</span>
<a name="line-29"></a>
<a name="line-30"></a><a name="PrivateNumber"></a><span class='hs-comment'>-- | DSA Private Number, usually embedded in DSA Private Key</span>
<a name="line-31"></a><a name="PrivateNumber"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>PrivateNumber</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Integer</span>
<a name="line-32"></a>
<a name="line-33"></a><a name="Params"></a><span class='hs-comment'>-- | Represent DSA parameters namely P, G, and Q.</span>
<a name="line-34"></a><a name="Params"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>Params</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Params</span>
<a name="line-35"></a>    <span class='hs-layout'>{</span> <span class='hs-varid'>params_p</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Integer</span> <span class='hs-comment'>-- ^ DSA p</span>
<a name="line-36"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>params_g</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Integer</span> <span class='hs-comment'>-- ^ DSA g</span>
<a name="line-37"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>params_q</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Integer</span> <span class='hs-comment'>-- ^ DSA q</span>
<a name="line-38"></a>    <span class='hs-layout'>}</span> <span class='hs-keyword'>deriving</span> <span class='hs-layout'>(</span><span class='hs-conid'>Show</span><span class='hs-layout'>,</span><span class='hs-conid'>Read</span><span class='hs-layout'>,</span><span class='hs-conid'>Eq</span><span class='hs-layout'>,</span><span class='hs-conid'>Data</span><span class='hs-layout'>,</span><span class='hs-conid'>Typeable</span><span class='hs-layout'>)</span>
<a name="line-39"></a>
<a name="line-40"></a><a name="instance%20ASN1Object%20Params"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ASN1Object</span> <span class='hs-conid'>Params</span> <span class='hs-keyword'>where</span>
<a name="line-41"></a>    <span class='hs-varid'>toASN1</span> <span class='hs-varid'>params</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Start</span> <span class='hs-conid'>Sequence</span>
<a name="line-42"></a>                         <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-layout'>(</span><span class='hs-varid'>params_p</span> <span class='hs-varid'>params</span><span class='hs-layout'>)</span>
<a name="line-43"></a>                         <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-layout'>(</span><span class='hs-varid'>params_q</span> <span class='hs-varid'>params</span><span class='hs-layout'>)</span>
<a name="line-44"></a>                         <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-layout'>(</span><span class='hs-varid'>params_g</span> <span class='hs-varid'>params</span><span class='hs-layout'>)</span>
<a name="line-45"></a>                         <span class='hs-conop'>:</span> <span class='hs-conid'>End</span> <span class='hs-conid'>Sequence</span>
<a name="line-46"></a>                         <span class='hs-conop'>:</span> <span class='hs-varid'>xs</span>
<a name="line-47"></a>    <span class='hs-varid'>fromASN1</span> <span class='hs-layout'>(</span><span class='hs-conid'>Start</span> <span class='hs-conid'>Sequence</span><span class='hs-conop'>:</span><span class='hs-conid'>IntVal</span> <span class='hs-varid'>p</span><span class='hs-conop'>:</span><span class='hs-conid'>IntVal</span> <span class='hs-varid'>q</span><span class='hs-conop'>:</span><span class='hs-conid'>IntVal</span> <span class='hs-varid'>g</span><span class='hs-conop'>:</span><span class='hs-conid'>End</span> <span class='hs-conid'>Sequence</span><span class='hs-conop'>:</span><span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-48"></a>        <span class='hs-conid'>Right</span> <span class='hs-layout'>(</span><span class='hs-conid'>Params</span> <span class='hs-layout'>{</span> <span class='hs-varid'>params_p</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-varid'>params_g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>g</span><span class='hs-layout'>,</span> <span class='hs-varid'>params_q</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>q</span> <span class='hs-layout'>}</span><span class='hs-layout'>,</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span>
<a name="line-49"></a>    <span class='hs-varid'>fromASN1</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Left</span> <span class='hs-str'>"fromASN1: DSA.Params: unexpected format"</span>
<a name="line-50"></a>
<a name="line-51"></a><a name="Signature"></a><span class='hs-comment'>-- | Represent a DSA signature namely R and S.</span>
<a name="line-52"></a><a name="Signature"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>Signature</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Signature</span>
<a name="line-53"></a>    <span class='hs-layout'>{</span> <span class='hs-varid'>sign_r</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Integer</span> <span class='hs-comment'>-- ^ DSA r</span>
<a name="line-54"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>sign_s</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Integer</span> <span class='hs-comment'>-- ^ DSA s</span>
<a name="line-55"></a>    <span class='hs-layout'>}</span> <span class='hs-keyword'>deriving</span> <span class='hs-layout'>(</span><span class='hs-conid'>Show</span><span class='hs-layout'>,</span><span class='hs-conid'>Read</span><span class='hs-layout'>,</span><span class='hs-conid'>Eq</span><span class='hs-layout'>,</span><span class='hs-conid'>Data</span><span class='hs-layout'>,</span><span class='hs-conid'>Typeable</span><span class='hs-layout'>)</span>
<a name="line-56"></a>
<a name="line-57"></a><a name="instance%20ASN1Object%20Signature"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ASN1Object</span> <span class='hs-conid'>Signature</span> <span class='hs-keyword'>where</span>
<a name="line-58"></a>    <span class='hs-varid'>toASN1</span> <span class='hs-varid'>sign</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Start</span> <span class='hs-conid'>Sequence</span>
<a name="line-59"></a>                         <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-layout'>(</span><span class='hs-varid'>sign_r</span> <span class='hs-varid'>sign</span><span class='hs-layout'>)</span>
<a name="line-60"></a>                         <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-layout'>(</span><span class='hs-varid'>sign_s</span> <span class='hs-varid'>sign</span><span class='hs-layout'>)</span>
<a name="line-61"></a>                         <span class='hs-conop'>:</span> <span class='hs-conid'>End</span> <span class='hs-conid'>Sequence</span>
<a name="line-62"></a>                         <span class='hs-conop'>:</span> <span class='hs-varid'>xs</span>
<a name="line-63"></a>    <span class='hs-varid'>fromASN1</span> <span class='hs-layout'>(</span><span class='hs-conid'>Start</span> <span class='hs-conid'>Sequence</span><span class='hs-conop'>:</span><span class='hs-conid'>IntVal</span> <span class='hs-varid'>r</span><span class='hs-conop'>:</span><span class='hs-conid'>IntVal</span> <span class='hs-varid'>s</span><span class='hs-conop'>:</span><span class='hs-conid'>End</span> <span class='hs-conid'>Sequence</span><span class='hs-conop'>:</span><span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-64"></a>        <span class='hs-conid'>Right</span> <span class='hs-layout'>(</span><span class='hs-conid'>Signature</span> <span class='hs-layout'>{</span> <span class='hs-varid'>sign_r</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>r</span><span class='hs-layout'>,</span> <span class='hs-varid'>sign_s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>s</span> <span class='hs-layout'>}</span><span class='hs-layout'>,</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span>
<a name="line-65"></a>    <span class='hs-varid'>fromASN1</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Left</span> <span class='hs-str'>"fromASN1: DSA.Signature: unexpected format"</span>
<a name="line-66"></a>
<a name="line-67"></a><a name="PublicKey"></a><span class='hs-comment'>-- | Represent a DSA public key.</span>
<a name="line-68"></a><a name="PublicKey"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>PublicKey</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>PublicKey</span>
<a name="line-69"></a>    <span class='hs-layout'>{</span> <span class='hs-varid'>public_params</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Params</span>       <span class='hs-comment'>-- ^ DSA parameters</span>
<a name="line-70"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>public_y</span>      <span class='hs-keyglyph'>::</span> <span class='hs-conid'>PublicNumber</span> <span class='hs-comment'>-- ^ DSA public Y</span>
<a name="line-71"></a>    <span class='hs-layout'>}</span> <span class='hs-keyword'>deriving</span> <span class='hs-layout'>(</span><span class='hs-conid'>Show</span><span class='hs-layout'>,</span><span class='hs-conid'>Read</span><span class='hs-layout'>,</span><span class='hs-conid'>Eq</span><span class='hs-layout'>,</span><span class='hs-conid'>Data</span><span class='hs-layout'>,</span><span class='hs-conid'>Typeable</span><span class='hs-layout'>)</span>
<a name="line-72"></a>
<a name="line-73"></a><a name="instance%20ASN1Object%20PublicKey"></a><span class='hs-comment'>-- DSA public key serialization doesn't typically look like this.</span>
<a name="line-74"></a><a name="instance%20ASN1Object%20PublicKey"></a><span class='hs-comment'>-- However to provide an instance we serialize params and the public</span>
<a name="line-75"></a><a name="instance%20ASN1Object%20PublicKey"></a><span class='hs-comment'>-- number together.</span>
<a name="line-76"></a><a name="instance%20ASN1Object%20PublicKey"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ASN1Object</span> <span class='hs-conid'>PublicKey</span> <span class='hs-keyword'>where</span>
<a name="line-77"></a>    <span class='hs-varid'>toASN1</span> <span class='hs-varid'>pubKey</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Start</span> <span class='hs-conid'>Sequence</span>
<a name="line-78"></a>                         <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-layout'>(</span><span class='hs-varid'>params_p</span> <span class='hs-varid'>params</span><span class='hs-layout'>)</span>
<a name="line-79"></a>                         <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-layout'>(</span><span class='hs-varid'>params_q</span> <span class='hs-varid'>params</span><span class='hs-layout'>)</span>
<a name="line-80"></a>                         <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-layout'>(</span><span class='hs-varid'>params_g</span> <span class='hs-varid'>params</span><span class='hs-layout'>)</span>
<a name="line-81"></a>                         <span class='hs-conop'>:</span> <span class='hs-conid'>End</span> <span class='hs-conid'>Sequence</span>
<a name="line-82"></a>                         <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-layout'>(</span><span class='hs-varid'>public_y</span> <span class='hs-varid'>pubKey</span><span class='hs-layout'>)</span>
<a name="line-83"></a>                         <span class='hs-conop'>:</span> <span class='hs-varid'>xs</span>
<a name="line-84"></a>        <span class='hs-keyword'>where</span> <span class='hs-varid'>params</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>public_params</span> <span class='hs-varid'>pubKey</span>
<a name="line-85"></a>    <span class='hs-varid'>fromASN1</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>fromASN1</span> <span class='hs-varid'>l</span> <span class='hs-keyword'>of</span>
<a name="line-86"></a>                    <span class='hs-conid'>Left</span> <span class='hs-varid'>err</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Left</span> <span class='hs-varid'>err</span>
<a name="line-87"></a>                    <span class='hs-conid'>Right</span> <span class='hs-layout'>(</span><span class='hs-varid'>dsaParams</span><span class='hs-layout'>,</span> <span class='hs-varid'>ls</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>ls</span> <span class='hs-keyword'>of</span>
<a name="line-88"></a>                                                <span class='hs-conid'>IntVal</span> <span class='hs-varid'>dsaPub</span> <span class='hs-conop'>:</span> <span class='hs-varid'>ls2</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Right</span> <span class='hs-layout'>(</span><span class='hs-conid'>PublicKey</span> <span class='hs-varid'>dsaParams</span> <span class='hs-varid'>dsaPub</span><span class='hs-layout'>,</span> <span class='hs-varid'>ls2</span><span class='hs-layout'>)</span>
<a name="line-89"></a>                                                <span class='hs-keyword'>_</span>                   <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Left</span> <span class='hs-str'>"fromASN1: DSA.PublicKey: unexpected format"</span>
<a name="line-90"></a>
<a name="line-91"></a><a name="PrivateKey"></a><span class='hs-comment'>-- | Represent a DSA private key.</span>
<a name="line-92"></a><a name="PrivateKey"></a><span class='hs-comment'>--</span>
<a name="line-93"></a><a name="PrivateKey"></a><span class='hs-comment'>-- Only x need to be secret.</span>
<a name="line-94"></a><a name="PrivateKey"></a><span class='hs-comment'>-- the DSA parameters are publicly shared with the other side.</span>
<a name="line-95"></a><a name="PrivateKey"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>PrivateKey</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>PrivateKey</span>
<a name="line-96"></a>    <span class='hs-layout'>{</span> <span class='hs-varid'>private_params</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Params</span>        <span class='hs-comment'>-- ^ DSA parameters</span>
<a name="line-97"></a>    <span class='hs-layout'>,</span> <span class='hs-varid'>private_x</span>      <span class='hs-keyglyph'>::</span> <span class='hs-conid'>PrivateNumber</span> <span class='hs-comment'>-- ^ DSA private X</span>
<a name="line-98"></a>    <span class='hs-layout'>}</span> <span class='hs-keyword'>deriving</span> <span class='hs-layout'>(</span><span class='hs-conid'>Show</span><span class='hs-layout'>,</span><span class='hs-conid'>Read</span><span class='hs-layout'>,</span><span class='hs-conid'>Eq</span><span class='hs-layout'>,</span><span class='hs-conid'>Data</span><span class='hs-layout'>,</span><span class='hs-conid'>Typeable</span><span class='hs-layout'>)</span>
<a name="line-99"></a>
<a name="line-100"></a><a name="KeyPair"></a><span class='hs-comment'>-- | Represent a DSA key pair</span>
<a name="line-101"></a><a name="KeyPair"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>KeyPair</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>KeyPair</span> <span class='hs-conid'>Params</span> <span class='hs-conid'>PublicNumber</span> <span class='hs-conid'>PrivateNumber</span>
<a name="line-102"></a>    <span class='hs-keyword'>deriving</span> <span class='hs-layout'>(</span><span class='hs-conid'>Show</span><span class='hs-layout'>,</span><span class='hs-conid'>Read</span><span class='hs-layout'>,</span><span class='hs-conid'>Eq</span><span class='hs-layout'>,</span><span class='hs-conid'>Data</span><span class='hs-layout'>,</span><span class='hs-conid'>Typeable</span><span class='hs-layout'>)</span>
<a name="line-103"></a>
<a name="line-104"></a><a name="instance%20ASN1Object%20KeyPair"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ASN1Object</span> <span class='hs-conid'>KeyPair</span> <span class='hs-keyword'>where</span>
<a name="line-105"></a>    <span class='hs-varid'>toASN1</span> <span class='hs-layout'>(</span><span class='hs-conid'>KeyPair</span> <span class='hs-varid'>params</span> <span class='hs-varid'>pub</span> <span class='hs-varid'>priv</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-&gt;</span>
<a name="line-106"></a>          <span class='hs-conid'>Start</span> <span class='hs-conid'>Sequence</span>
<a name="line-107"></a>        <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-num'>0</span>
<a name="line-108"></a>        <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-layout'>(</span><span class='hs-varid'>params_p</span> <span class='hs-varid'>params</span><span class='hs-layout'>)</span>
<a name="line-109"></a>        <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-layout'>(</span><span class='hs-varid'>params_q</span> <span class='hs-varid'>params</span><span class='hs-layout'>)</span>
<a name="line-110"></a>        <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-layout'>(</span><span class='hs-varid'>params_g</span> <span class='hs-varid'>params</span><span class='hs-layout'>)</span>
<a name="line-111"></a>        <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-varid'>pub</span>
<a name="line-112"></a>        <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-varid'>priv</span>
<a name="line-113"></a>        <span class='hs-conop'>:</span> <span class='hs-conid'>End</span> <span class='hs-conid'>Sequence</span>
<a name="line-114"></a>        <span class='hs-conop'>:</span> <span class='hs-varid'>xs</span>
<a name="line-115"></a>    <span class='hs-varid'>fromASN1</span> <span class='hs-layout'>(</span><span class='hs-conid'>Start</span> <span class='hs-conid'>Sequence</span> <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-varid'>n</span> <span class='hs-conop'>:</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span>
<a name="line-116"></a>        <span class='hs-keyglyph'>|</span> <span class='hs-varid'>n</span> <span class='hs-varop'>==</span> <span class='hs-num'>0</span>    <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>xs</span> <span class='hs-keyword'>of</span>
<a name="line-117"></a>                        <span class='hs-conid'>IntVal</span> <span class='hs-varid'>p</span> <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-varid'>q</span> <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-varid'>g</span> <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-varid'>pub</span> <span class='hs-conop'>:</span> <span class='hs-conid'>IntVal</span> <span class='hs-varid'>priv</span> <span class='hs-conop'>:</span> <span class='hs-conid'>End</span> <span class='hs-conid'>Sequence</span> <span class='hs-conop'>:</span> <span class='hs-varid'>xs2</span> <span class='hs-keyglyph'>-&gt;</span>
<a name="line-118"></a>                            <span class='hs-keyword'>let</span> <span class='hs-varid'>params</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Params</span> <span class='hs-layout'>{</span> <span class='hs-varid'>params_p</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>p</span><span class='hs-layout'>,</span> <span class='hs-varid'>params_g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>g</span><span class='hs-layout'>,</span> <span class='hs-varid'>params_q</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>q</span> <span class='hs-layout'>}</span>
<a name="line-119"></a>                             <span class='hs-keyword'>in</span> <span class='hs-conid'>Right</span> <span class='hs-layout'>(</span><span class='hs-conid'>KeyPair</span> <span class='hs-varid'>params</span> <span class='hs-varid'>pub</span> <span class='hs-varid'>priv</span><span class='hs-layout'>,</span> <span class='hs-varid'>xs2</span><span class='hs-layout'>)</span>
<a name="line-120"></a>                        <span class='hs-keyword'>_</span>                                                                              <span class='hs-keyglyph'>-&gt;</span>
<a name="line-121"></a>                            <span class='hs-conid'>Left</span> <span class='hs-str'>"fromASN1: DSA.KeyPair: invalid format (version=0)"</span>
<a name="line-122"></a>        <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Left</span> <span class='hs-str'>"fromASN1: DSA.KeyPair: unknown format"</span>
<a name="line-123"></a>    <span class='hs-varid'>fromASN1</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Left</span> <span class='hs-str'>"fromASN1: DSA.KeyPair: unexpected format"</span>
<a name="line-124"></a>
<a name="line-125"></a><a name="toPublicKey"></a><span class='hs-comment'>-- | Public key of a DSA Key pair</span>
<a name="line-126"></a><span class='hs-definition'>toPublicKey</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>KeyPair</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>PublicKey</span>
<a name="line-127"></a><span class='hs-definition'>toPublicKey</span> <span class='hs-layout'>(</span><span class='hs-conid'>KeyPair</span> <span class='hs-varid'>params</span> <span class='hs-varid'>pub</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>PublicKey</span> <span class='hs-varid'>params</span> <span class='hs-varid'>pub</span>
<a name="line-128"></a>
<a name="line-129"></a><a name="toPrivateKey"></a><span class='hs-comment'>-- | Private key of a DSA Key pair</span>
<a name="line-130"></a><span class='hs-definition'>toPrivateKey</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>KeyPair</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>PrivateKey</span>
<a name="line-131"></a><span class='hs-definition'>toPrivateKey</span> <span class='hs-layout'>(</span><span class='hs-conid'>KeyPair</span> <span class='hs-varid'>params</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>priv</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>PrivateKey</span> <span class='hs-varid'>params</span> <span class='hs-varid'>priv</span>
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