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The Bouncy Castle Crypto package is a Java implementation of cryptographic algorithms. This jar contains JCE provider and lightweight API for the Bouncy Castle Cryptography APIs for JDK 1.5 to JDK 1.8.
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package org.bouncycastle.jce;

import java.io.UnsupportedEncodingException;
import java.security.KeyFactory;
import java.security.NoSuchAlgorithmException;
import java.security.NoSuchProviderException;
import java.security.PrivateKey;
import java.security.Provider;
import java.security.PublicKey;
import java.security.Security;
import java.security.spec.PKCS8EncodedKeySpec;
import java.security.spec.X509EncodedKeySpec;

import org.bouncycastle.asn1.ASN1ObjectIdentifier;
import org.bouncycastle.asn1.ASN1Primitive;
import org.bouncycastle.asn1.cryptopro.CryptoProObjectIdentifiers;
import org.bouncycastle.asn1.pkcs.PrivateKeyInfo;
import org.bouncycastle.asn1.x509.AlgorithmIdentifier;
import org.bouncycastle.asn1.x509.SubjectPublicKeyInfo;
import org.bouncycastle.asn1.x9.X962Parameters;
import org.bouncycastle.asn1.x9.X9ECParameters;
import org.bouncycastle.asn1.x9.X9ECPoint;
import org.bouncycastle.asn1.x9.X9ObjectIdentifiers;
import org.bouncycastle.jcajce.provider.asymmetric.util.ECUtil;
import org.bouncycastle.jce.provider.BouncyCastleProvider;

/**
 * Utility class to allow conversion of EC key parameters to explicit from named
 * curves and back (where possible).
 */
public class ECKeyUtil
{
    /**
     * Convert a passed in public EC key to have explicit parameters. If the key
     * is already using explicit parameters it is returned.
     *
     * @param key key to be converted
     * @param providerName provider name to be used.
     * @return the equivalent key with explicit curve parameters
     * @throws IllegalArgumentException
     * @throws NoSuchAlgorithmException
     * @throws NoSuchProviderException
     */
    public static PublicKey publicToExplicitParameters(PublicKey key, String providerName)
        throws IllegalArgumentException, NoSuchAlgorithmException, NoSuchProviderException
    {
        Provider provider = Security.getProvider(providerName);

        if (provider == null)
        {
            throw new NoSuchProviderException("cannot find provider: " + providerName);
        }

        return publicToExplicitParameters(key, provider);
    }

    /**
     * Convert a passed in public EC key to have explicit parameters. If the key
     * is already using explicit parameters it is returned.
     *
     * @param key key to be converted
     * @param provider provider to be used.
     * @return the equivalent key with explicit curve parameters
     * @throws IllegalArgumentException
     * @throws NoSuchAlgorithmException
     */
    public static PublicKey publicToExplicitParameters(PublicKey key, Provider provider)
        throws IllegalArgumentException, NoSuchAlgorithmException
    {
        try
        {
            SubjectPublicKeyInfo info = SubjectPublicKeyInfo.getInstance(ASN1Primitive.fromByteArray(key.getEncoded()));

            if (info.getAlgorithm().getAlgorithm().equals(CryptoProObjectIdentifiers.gostR3410_2001))
            {
                throw new IllegalArgumentException("cannot convert GOST key to explicit parameters.");
            }
            else
            {
                X962Parameters params = X962Parameters.getInstance(info.getAlgorithm().getParameters());
                X9ECParameters curveParams;

                if (params.isNamedCurve())
                {
                    ASN1ObjectIdentifier oid = ASN1ObjectIdentifier.getInstance(params.getParameters());

                    curveParams = ECUtil.getNamedCurveByOid(oid);

                    if (curveParams.hasSeed())
                    {
                        // ignore seed value due to JDK bug
                        curveParams = new X9ECParameters(
                            curveParams.getCurve(),
                            curveParams.getBaseEntry(),
                            curveParams.getN(),
                            curveParams.getH());
                    }
                }
                else if (params.isImplicitlyCA())
                {
                    curveParams = new X9ECParameters(
                        BouncyCastleProvider.CONFIGURATION.getEcImplicitlyCa().getCurve(),
                        new X9ECPoint(BouncyCastleProvider.CONFIGURATION.getEcImplicitlyCa().getG(), false),
                        BouncyCastleProvider.CONFIGURATION.getEcImplicitlyCa().getN(),
                        BouncyCastleProvider.CONFIGURATION.getEcImplicitlyCa().getH());
                }
                else
                {
                    return key;   // already explicit
                }

                params = new X962Parameters(curveParams);

                info = new SubjectPublicKeyInfo(new AlgorithmIdentifier(X9ObjectIdentifiers.id_ecPublicKey, params), info.getPublicKeyData().getBytes());

                KeyFactory keyFact = KeyFactory.getInstance(key.getAlgorithm(), provider);

                return keyFact.generatePublic(new X509EncodedKeySpec(info.getEncoded()));
            }
        }
        catch (IllegalArgumentException e)
        {
            throw e;
        }
        catch (NoSuchAlgorithmException e)
        {
            throw e;
        }
        catch (Exception e)
        {               // shouldn't really happen...
            throw new UnexpectedException(e);
        }
    }

    /**
     * Convert a passed in private EC key to have explicit parameters. If the key
     * is already using explicit parameters it is returned.
     *
     * @param key key to be converted
     * @param providerName provider name to be used.
     * @return the equivalent key with explicit curve parameters
     * @throws IllegalArgumentException
     * @throws NoSuchAlgorithmException
     * @throws NoSuchProviderException
     */
    public static PrivateKey privateToExplicitParameters(PrivateKey key, String providerName)
        throws IllegalArgumentException, NoSuchAlgorithmException, NoSuchProviderException
    {
        Provider provider = Security.getProvider(providerName);

        if (provider == null)
        {
            throw new NoSuchProviderException("cannot find provider: " + providerName);
        }

        return privateToExplicitParameters(key, provider);
    }

    /**
     * Convert a passed in private EC key to have explicit parameters. If the key
     * is already using explicit parameters it is returned.
     *
     * @param key key to be converted
     * @param provider provider to be used.
     * @return the equivalent key with explicit curve parameters
     * @throws IllegalArgumentException
     * @throws NoSuchAlgorithmException
     */
    public static PrivateKey privateToExplicitParameters(PrivateKey key, Provider provider)
        throws IllegalArgumentException, NoSuchAlgorithmException
    {
        try
        {
            PrivateKeyInfo info = PrivateKeyInfo.getInstance(ASN1Primitive.fromByteArray(key.getEncoded()));

            if (info.getPrivateKeyAlgorithm().getAlgorithm().equals(CryptoProObjectIdentifiers.gostR3410_2001))
            {
                throw new UnsupportedEncodingException("cannot convert GOST key to explicit parameters.");
            }
            else
            {
                X962Parameters params = X962Parameters.getInstance(info.getPrivateKeyAlgorithm().getParameters());
                X9ECParameters curveParams;

                if (params.isNamedCurve())
                {
                    ASN1ObjectIdentifier oid = ASN1ObjectIdentifier.getInstance(params.getParameters());

                    curveParams = ECUtil.getNamedCurveByOid(oid);

                    if (curveParams.hasSeed())
                    {
                        // ignore seed value due to JDK bug
                        curveParams = new X9ECParameters(
                            curveParams.getCurve(),
                            curveParams.getBaseEntry(),
                            curveParams.getN(),
                            curveParams.getH());
                    }
                }
                else if (params.isImplicitlyCA())
                {
                    curveParams = new X9ECParameters(
                        BouncyCastleProvider.CONFIGURATION.getEcImplicitlyCa().getCurve(),
                        new X9ECPoint(BouncyCastleProvider.CONFIGURATION.getEcImplicitlyCa().getG(), false),
                        BouncyCastleProvider.CONFIGURATION.getEcImplicitlyCa().getN(),
                        BouncyCastleProvider.CONFIGURATION.getEcImplicitlyCa().getH());
                }
                else
                {
                    return key;   // already explicit
                }

                params = new X962Parameters(curveParams);

                info = new PrivateKeyInfo(new AlgorithmIdentifier(X9ObjectIdentifiers.id_ecPublicKey, params), info.parsePrivateKey());

                KeyFactory keyFact = KeyFactory.getInstance(key.getAlgorithm(), provider);

                return keyFact.generatePrivate(new PKCS8EncodedKeySpec(info.getEncoded()));
            }
        }
        catch (IllegalArgumentException e)
        {
            throw e;
        }
        catch (NoSuchAlgorithmException e)
        {
            throw e;
        }
        catch (Exception e)
        {          // shouldn't really happen
            throw new UnexpectedException(e);
        }
    }

    private static class UnexpectedException
        extends RuntimeException
    {
        private Throwable cause;

        UnexpectedException(Throwable cause)
        {
            super(cause.toString());

            this.cause = cause;
        }

        public Throwable getCause()
        {
            return cause;
        }
    }
}