jdk/src/share/classes/sun/net/www/protocol/http/DigestAuthentication.java
author lana
Thu, 26 Dec 2013 12:04:16 -0800
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8029235: Update copyright year to match last edit in jdk8 jdk repository for 2013 Summary: updated files with 2011, 2012 and 2013 years according to the file's last updated date Reviewed-by: tbell, lancea, chegar
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/*
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 * Copyright (c) 1997, 2013, Oracle and/or its affiliates. All rights reserved.
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 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
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 *
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 * This code is free software; you can redistribute it and/or modify it
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 * under the terms of the GNU General Public License version 2 only, as
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 * published by the Free Software Foundation.  Oracle designates this
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 * particular file as subject to the "Classpath" exception as provided
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 * by Oracle in the LICENSE file that accompanied this code.
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 *
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 * This code is distributed in the hope that it will be useful, but WITHOUT
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 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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 * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
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 * version 2 for more details (a copy is included in the LICENSE file that
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 * accompanied this code).
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 *
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 * You should have received a copy of the GNU General Public License version
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 * 2 along with this work; if not, write to the Free Software Foundation,
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 * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
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 *
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 * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
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 * or visit www.oracle.com if you need additional information or have any
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 * questions.
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 */
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package sun.net.www.protocol.http;
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import java.io.*;
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import java.net.URL;
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import java.net.ProtocolException;
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import java.net.PasswordAuthentication;
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import java.util.Arrays;
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import java.util.StringTokenizer;
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import java.util.Random;
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import sun.net.www.HeaderParser;
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import java.security.MessageDigest;
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import java.security.NoSuchAlgorithmException;
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import static sun.net.www.protocol.http.HttpURLConnection.HTTP_CONNECT;
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/**
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 * DigestAuthentication: Encapsulate an http server authentication using
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 * the "Digest" scheme, as described in RFC2069 and updated in RFC2617
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 *
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 * @author Bill Foote
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 */
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class DigestAuthentication extends AuthenticationInfo {
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    private static final long serialVersionUID = 100L;
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    private String authMethod;
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    // Authentication parameters defined in RFC2617.
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    // One instance of these may be shared among several DigestAuthentication
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    // instances as a result of a single authorization (for multiple domains)
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    static class Parameters implements java.io.Serializable {
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        private static final long serialVersionUID = -3584543755194526252L;
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        private boolean serverQop; // server proposed qop=auth
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        private String opaque;
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        private String cnonce;
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        private String nonce;
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        private String algorithm;
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        private int NCcount=0;
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        // The H(A1) string used for MD5-sess
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        private String  cachedHA1;
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        // Force the HA1 value to be recalculated because the nonce has changed
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        private boolean redoCachedHA1 = true;
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        private static final int cnonceRepeat = 5;
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        private static final int cnoncelen = 40; /* number of characters in cnonce */
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        private static Random   random;
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        static {
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            random = new Random();
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        }
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        Parameters () {
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            serverQop = false;
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            opaque = null;
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            algorithm = null;
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            cachedHA1 = null;
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            nonce = null;
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            setNewCnonce();
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        }
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        boolean authQop () {
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            return serverQop;
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        }
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        synchronized void incrementNC() {
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            NCcount ++;
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        }
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        synchronized int getNCCount () {
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            return NCcount;
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        }
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        int cnonce_count = 0;
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        /* each call increments the counter */
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        synchronized String getCnonce () {
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            if (cnonce_count >= cnonceRepeat) {
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                setNewCnonce();
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            }
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            cnonce_count++;
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            return cnonce;
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        }
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        synchronized void setNewCnonce () {
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            byte bb[] = new byte [cnoncelen/2];
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            char cc[] = new char [cnoncelen];
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            random.nextBytes (bb);
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            for (int  i=0; i<(cnoncelen/2); i++) {
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                int x = bb[i] + 128;
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                cc[i*2]= (char) ('A'+ x/16);
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                cc[i*2+1]= (char) ('A'+ x%16);
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            }
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            cnonce = new String (cc, 0, cnoncelen);
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            cnonce_count = 0;
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            redoCachedHA1 = true;
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        }
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        synchronized void setQop (String qop) {
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            if (qop != null) {
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                StringTokenizer st = new StringTokenizer (qop, " ");
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                while (st.hasMoreTokens()) {
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                    if (st.nextToken().equalsIgnoreCase ("auth")) {
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                        serverQop = true;
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                        return;
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                    }
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                }
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            }
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            serverQop = false;
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        }
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        synchronized String getOpaque () { return opaque;}
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        synchronized void setOpaque (String s) { opaque=s;}
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        synchronized String getNonce () { return nonce;}
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        synchronized void setNonce (String s) {
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            if (!s.equals(nonce)) {
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                nonce=s;
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                NCcount = 0;
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                redoCachedHA1 = true;
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            }
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        }
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        synchronized String getCachedHA1 () {
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            if (redoCachedHA1) {
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                return null;
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            } else {
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                return cachedHA1;
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            }
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        }
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        synchronized void setCachedHA1 (String s) {
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            cachedHA1=s;
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            redoCachedHA1=false;
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        }
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        synchronized String getAlgorithm () { return algorithm;}
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        synchronized void setAlgorithm (String s) { algorithm=s;}
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    }
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    Parameters params;
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    /**
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     * Create a DigestAuthentication
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     */
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    public DigestAuthentication(boolean isProxy, URL url, String realm,
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                                String authMethod, PasswordAuthentication pw,
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                                Parameters params) {
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        super(isProxy ? PROXY_AUTHENTICATION : SERVER_AUTHENTICATION,
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              AuthScheme.DIGEST,
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              url,
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              realm);
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        this.authMethod = authMethod;
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        this.pw = pw;
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        this.params = params;
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    }
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    public DigestAuthentication(boolean isProxy, String host, int port, String realm,
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                                String authMethod, PasswordAuthentication pw,
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                                Parameters params) {
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        super(isProxy ? PROXY_AUTHENTICATION : SERVER_AUTHENTICATION,
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              AuthScheme.DIGEST,
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              host,
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              port,
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              realm);
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        this.authMethod = authMethod;
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        this.pw = pw;
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        this.params = params;
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    }
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    /**
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     * @return true if this authentication supports preemptive authorization
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     */
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    @Override
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    public boolean supportsPreemptiveAuthorization() {
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        return true;
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    }
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    /**
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     * Reclaculates the request-digest and returns it.
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     *
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     * <P> Used in the common case where the requestURI is simply the
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     * abs_path.
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     *
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     * @param  url
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     *         the URL
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     *
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     * @param  method
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     *         the HTTP method
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     *
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     * @return the value of the HTTP header this authentication wants set
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     */
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    @Override
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    public String getHeaderValue(URL url, String method) {
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        return getHeaderValueImpl(url.getFile(), method);
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    }
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    /**
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     * Reclaculates the request-digest and returns it.
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     *
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     * <P> Used when the requestURI is not the abs_path. The exact
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     * requestURI can be passed as a String.
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     *
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     * @param  requestURI
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     *         the Request-URI from the HTTP request line
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     *
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     * @param  method
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     *         the HTTP method
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     *
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     * @return the value of the HTTP header this authentication wants set
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     */
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    String getHeaderValue(String requestURI, String method) {
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        return getHeaderValueImpl(requestURI, method);
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    }
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    /**
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     * Check if the header indicates that the current auth. parameters are stale.
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     * If so, then replace the relevant field with the new value
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     * and return true. Otherwise return false.
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     * returning true means the request can be retried with the same userid/password
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     * returning false means we have to go back to the user to ask for a new
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     * username password.
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     */
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    @Override
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    public boolean isAuthorizationStale (String header) {
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        HeaderParser p = new HeaderParser (header);
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        String s = p.findValue ("stale");
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        if (s == null || !s.equals("true"))
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            return false;
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        String newNonce = p.findValue ("nonce");
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        if (newNonce == null || "".equals(newNonce)) {
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            return false;
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        }
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        params.setNonce (newNonce);
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        return true;
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    }
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    /**
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     * Set header(s) on the given connection.
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     * @param conn The connection to apply the header(s) to
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     * @param p A source of header values for this connection, if needed.
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     * @param raw Raw header values for this connection, if needed.
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     * @return true if all goes well, false if no headers were set.
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     */
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    @Override
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    public boolean setHeaders(HttpURLConnection conn, HeaderParser p, String raw) {
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        params.setNonce (p.findValue("nonce"));
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        params.setOpaque (p.findValue("opaque"));
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        params.setQop (p.findValue("qop"));
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        String uri="";
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        String method;
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        if (type == PROXY_AUTHENTICATION &&
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                conn.tunnelState() == HttpURLConnection.TunnelState.SETUP) {
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            uri = HttpURLConnection.connectRequestURI(conn.getURL());
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            method = HTTP_CONNECT;
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        } else {
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            try {
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                uri = conn.getRequestURI();
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            } catch (IOException e) {}
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            method = conn.getMethod();
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        }
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        if (params.nonce == null || authMethod == null || pw == null || realm == null) {
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            return false;
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        }
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        if (authMethod.length() >= 1) {
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            // Method seems to get converted to all lower case elsewhere.
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            // It really does need to start with an upper case letter
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            // here.
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            authMethod = Character.toUpperCase(authMethod.charAt(0))
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                        + authMethod.substring(1).toLowerCase();
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        }
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        String algorithm = p.findValue("algorithm");
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        if (algorithm == null || "".equals(algorithm)) {
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            algorithm = "MD5";  // The default, accoriding to rfc2069
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        }
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        params.setAlgorithm (algorithm);
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        // If authQop is true, then the server is doing RFC2617 and
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        // has offered qop=auth. We do not support any other modes
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        // and if auth is not offered we fallback to the RFC2069 behavior
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        if (params.authQop()) {
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            params.setNewCnonce();
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        }
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        String value = getHeaderValueImpl (uri, method);
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        if (value != null) {
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            conn.setAuthenticationProperty(getHeaderName(), value);
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            return true;
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        } else {
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            return false;
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        }
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    }
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    /* Calculate the Authorization header field given the request URI
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     * and based on the authorization information in params
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     */
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    private String getHeaderValueImpl (String uri, String method) {
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        String response;
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        char[] passwd = pw.getPassword();
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        boolean qop = params.authQop();
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        String opaque = params.getOpaque();
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        String cnonce = params.getCnonce ();
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        String nonce = params.getNonce ();
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        String algorithm = params.getAlgorithm ();
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        params.incrementNC ();
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        int  nccount = params.getNCCount ();
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        String ncstring=null;
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        if (nccount != -1) {
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            ncstring = Integer.toHexString (nccount).toLowerCase();
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            int len = ncstring.length();
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            if (len < 8)
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                ncstring = zeroPad [len] + ncstring;
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        }
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        try {
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            response = computeDigest(true, pw.getUserName(),passwd,realm,
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                                        method, uri, nonce, cnonce, ncstring);
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        } catch (NoSuchAlgorithmException ex) {
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            return null;
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        }
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        String ncfield = "\"";
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        if (qop) {
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            ncfield = "\", nc=" + ncstring;
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        }
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        String value = authMethod
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                        + " username=\"" + pw.getUserName()
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                        + "\", realm=\"" + realm
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                        + "\", nonce=\"" + nonce
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                        + ncfield
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                        + ", uri=\"" + uri
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                        + "\", response=\"" + response
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                        + "\", algorithm=" + algorithm;
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        if (opaque != null) {
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            value = value + ", opaque=\"" + opaque;
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            value = value + "\"";
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        }
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        if (cnonce != null) {
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            value = value + ", cnonce=\"" + cnonce;
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            value = value + "\"";
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        }
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        if (qop) {
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            value = value + ", qop=auth";
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        }
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        return value;
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    }
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    public void checkResponse (String header, String method, URL url)
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                                                        throws IOException {
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        checkResponse (header, method, url.getFile());
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diff changeset
   385
    }
dc329398de30 6870935: DIGEST proxy authentication fails to connect to URLs with no trailing slash
michaelm
parents: 3859
diff changeset
   386
dc329398de30 6870935: DIGEST proxy authentication fails to connect to URLs with no trailing slash
michaelm
parents: 3859
diff changeset
   387
    public void checkResponse (String header, String method, String uri)
dc329398de30 6870935: DIGEST proxy authentication fails to connect to URLs with no trailing slash
michaelm
parents: 3859
diff changeset
   388
                                                        throws IOException {
2
90ce3da70b43 Initial load
duke
parents:
diff changeset
   389
        char[] passwd = pw.getPassword();
90ce3da70b43 Initial load
duke
parents:
diff changeset
   390
        String username = pw.getUserName();
90ce3da70b43 Initial load
duke
parents:
diff changeset
   391
        boolean qop = params.authQop();
90ce3da70b43 Initial load
duke
parents:
diff changeset
   392
        String opaque = params.getOpaque();
90ce3da70b43 Initial load
duke
parents:
diff changeset
   393
        String cnonce = params.cnonce;
90ce3da70b43 Initial load
duke
parents:
diff changeset
   394
        String nonce = params.getNonce ();
90ce3da70b43 Initial load
duke
parents:
diff changeset
   395
        String algorithm = params.getAlgorithm ();
90ce3da70b43 Initial load
duke
parents:
diff changeset
   396
        int  nccount = params.getNCCount ();
90ce3da70b43 Initial load
duke
parents:
diff changeset
   397
        String ncstring=null;
90ce3da70b43 Initial load
duke
parents:
diff changeset
   398
90ce3da70b43 Initial load
duke
parents:
diff changeset
   399
        if (header == null) {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   400
            throw new ProtocolException ("No authentication information in response");
90ce3da70b43 Initial load
duke
parents:
diff changeset
   401
        }
90ce3da70b43 Initial load
duke
parents:
diff changeset
   402
90ce3da70b43 Initial load
duke
parents:
diff changeset
   403
        if (nccount != -1) {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   404
            ncstring = Integer.toHexString (nccount).toUpperCase();
90ce3da70b43 Initial load
duke
parents:
diff changeset
   405
            int len = ncstring.length();
90ce3da70b43 Initial load
duke
parents:
diff changeset
   406
            if (len < 8)
90ce3da70b43 Initial load
duke
parents:
diff changeset
   407
                ncstring = zeroPad [len] + ncstring;
90ce3da70b43 Initial load
duke
parents:
diff changeset
   408
        }
90ce3da70b43 Initial load
duke
parents:
diff changeset
   409
        try {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   410
            String expected = computeDigest(false, username,passwd,realm,
90ce3da70b43 Initial load
duke
parents:
diff changeset
   411
                                        method, uri, nonce, cnonce, ncstring);
90ce3da70b43 Initial load
duke
parents:
diff changeset
   412
            HeaderParser p = new HeaderParser (header);
90ce3da70b43 Initial load
duke
parents:
diff changeset
   413
            String rspauth = p.findValue ("rspauth");
90ce3da70b43 Initial load
duke
parents:
diff changeset
   414
            if (rspauth == null) {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   415
                throw new ProtocolException ("No digest in response");
90ce3da70b43 Initial load
duke
parents:
diff changeset
   416
            }
90ce3da70b43 Initial load
duke
parents:
diff changeset
   417
            if (!rspauth.equals (expected)) {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   418
                throw new ProtocolException ("Response digest invalid");
90ce3da70b43 Initial load
duke
parents:
diff changeset
   419
            }
90ce3da70b43 Initial load
duke
parents:
diff changeset
   420
            /* Check if there is a nextnonce field */
90ce3da70b43 Initial load
duke
parents:
diff changeset
   421
            String nextnonce = p.findValue ("nextnonce");
90ce3da70b43 Initial load
duke
parents:
diff changeset
   422
            if (nextnonce != null && ! "".equals(nextnonce)) {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   423
                params.setNonce (nextnonce);
90ce3da70b43 Initial load
duke
parents:
diff changeset
   424
            }
90ce3da70b43 Initial load
duke
parents:
diff changeset
   425
90ce3da70b43 Initial load
duke
parents:
diff changeset
   426
        } catch (NoSuchAlgorithmException ex) {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   427
            throw new ProtocolException ("Unsupported algorithm in response");
90ce3da70b43 Initial load
duke
parents:
diff changeset
   428
        }
90ce3da70b43 Initial load
duke
parents:
diff changeset
   429
    }
90ce3da70b43 Initial load
duke
parents:
diff changeset
   430
90ce3da70b43 Initial load
duke
parents:
diff changeset
   431
    private String computeDigest(
90ce3da70b43 Initial load
duke
parents:
diff changeset
   432
                        boolean isRequest, String userName, char[] password,
90ce3da70b43 Initial load
duke
parents:
diff changeset
   433
                        String realm, String connMethod,
90ce3da70b43 Initial load
duke
parents:
diff changeset
   434
                        String requestURI, String nonceString,
90ce3da70b43 Initial load
duke
parents:
diff changeset
   435
                        String cnonce, String ncValue
90ce3da70b43 Initial load
duke
parents:
diff changeset
   436
                    ) throws NoSuchAlgorithmException
90ce3da70b43 Initial load
duke
parents:
diff changeset
   437
    {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   438
90ce3da70b43 Initial load
duke
parents:
diff changeset
   439
        String A1, HashA1;
90ce3da70b43 Initial load
duke
parents:
diff changeset
   440
        String algorithm = params.getAlgorithm ();
90ce3da70b43 Initial load
duke
parents:
diff changeset
   441
        boolean md5sess = algorithm.equalsIgnoreCase ("MD5-sess");
90ce3da70b43 Initial load
duke
parents:
diff changeset
   442
90ce3da70b43 Initial load
duke
parents:
diff changeset
   443
        MessageDigest md = MessageDigest.getInstance(md5sess?"MD5":algorithm);
90ce3da70b43 Initial load
duke
parents:
diff changeset
   444
90ce3da70b43 Initial load
duke
parents:
diff changeset
   445
        if (md5sess) {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   446
            if ((HashA1 = params.getCachedHA1 ()) == null) {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   447
                String s = userName + ":" + realm + ":";
90ce3da70b43 Initial load
duke
parents:
diff changeset
   448
                String s1 = encode (s, password, md);
90ce3da70b43 Initial load
duke
parents:
diff changeset
   449
                A1 = s1 + ":" + nonceString + ":" + cnonce;
90ce3da70b43 Initial load
duke
parents:
diff changeset
   450
                HashA1 = encode(A1, null, md);
90ce3da70b43 Initial load
duke
parents:
diff changeset
   451
                params.setCachedHA1 (HashA1);
90ce3da70b43 Initial load
duke
parents:
diff changeset
   452
            }
90ce3da70b43 Initial load
duke
parents:
diff changeset
   453
        } else {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   454
            A1 = userName + ":" + realm + ":";
90ce3da70b43 Initial load
duke
parents:
diff changeset
   455
            HashA1 = encode(A1, password, md);
90ce3da70b43 Initial load
duke
parents:
diff changeset
   456
        }
90ce3da70b43 Initial load
duke
parents:
diff changeset
   457
90ce3da70b43 Initial load
duke
parents:
diff changeset
   458
        String A2;
90ce3da70b43 Initial load
duke
parents:
diff changeset
   459
        if (isRequest) {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   460
            A2 = connMethod + ":" + requestURI;
90ce3da70b43 Initial load
duke
parents:
diff changeset
   461
        } else {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   462
            A2 = ":" + requestURI;
90ce3da70b43 Initial load
duke
parents:
diff changeset
   463
        }
90ce3da70b43 Initial load
duke
parents:
diff changeset
   464
        String HashA2 = encode(A2, null, md);
90ce3da70b43 Initial load
duke
parents:
diff changeset
   465
        String combo, finalHash;
90ce3da70b43 Initial load
duke
parents:
diff changeset
   466
90ce3da70b43 Initial load
duke
parents:
diff changeset
   467
        if (params.authQop()) { /* RRC2617 when qop=auth */
90ce3da70b43 Initial load
duke
parents:
diff changeset
   468
            combo = HashA1+ ":" + nonceString + ":" + ncValue + ":" +
90ce3da70b43 Initial load
duke
parents:
diff changeset
   469
                        cnonce + ":auth:" +HashA2;
90ce3da70b43 Initial load
duke
parents:
diff changeset
   470
90ce3da70b43 Initial load
duke
parents:
diff changeset
   471
        } else { /* for compatibility with RFC2069 */
90ce3da70b43 Initial load
duke
parents:
diff changeset
   472
            combo = HashA1 + ":" +
90ce3da70b43 Initial load
duke
parents:
diff changeset
   473
                       nonceString + ":" +
90ce3da70b43 Initial load
duke
parents:
diff changeset
   474
                       HashA2;
90ce3da70b43 Initial load
duke
parents:
diff changeset
   475
        }
90ce3da70b43 Initial load
duke
parents:
diff changeset
   476
        finalHash = encode(combo, null, md);
90ce3da70b43 Initial load
duke
parents:
diff changeset
   477
        return finalHash;
90ce3da70b43 Initial load
duke
parents:
diff changeset
   478
    }
90ce3da70b43 Initial load
duke
parents:
diff changeset
   479
90ce3da70b43 Initial load
duke
parents:
diff changeset
   480
    private final static char charArray[] = {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   481
        '0', '1', '2', '3', '4', '5', '6', '7',
90ce3da70b43 Initial load
duke
parents:
diff changeset
   482
        '8', '9', 'a', 'b', 'c', 'd', 'e', 'f'
90ce3da70b43 Initial load
duke
parents:
diff changeset
   483
    };
90ce3da70b43 Initial load
duke
parents:
diff changeset
   484
90ce3da70b43 Initial load
duke
parents:
diff changeset
   485
    private final static String zeroPad[] = {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   486
        // 0         1          2         3        4       5      6     7
90ce3da70b43 Initial load
duke
parents:
diff changeset
   487
        "00000000", "0000000", "000000", "00000", "0000", "000", "00", "0"
90ce3da70b43 Initial load
duke
parents:
diff changeset
   488
    };
90ce3da70b43 Initial load
duke
parents:
diff changeset
   489
90ce3da70b43 Initial load
duke
parents:
diff changeset
   490
    private String encode(String src, char[] passwd, MessageDigest md) {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   491
        try {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   492
            md.update(src.getBytes("ISO-8859-1"));
90ce3da70b43 Initial load
duke
parents:
diff changeset
   493
        } catch (java.io.UnsupportedEncodingException uee) {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   494
            assert false;
90ce3da70b43 Initial load
duke
parents:
diff changeset
   495
        }
90ce3da70b43 Initial load
duke
parents:
diff changeset
   496
        if (passwd != null) {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   497
            byte[] passwdBytes = new byte[passwd.length];
90ce3da70b43 Initial load
duke
parents:
diff changeset
   498
            for (int i=0; i<passwd.length; i++)
90ce3da70b43 Initial load
duke
parents:
diff changeset
   499
                passwdBytes[i] = (byte)passwd[i];
90ce3da70b43 Initial load
duke
parents:
diff changeset
   500
            md.update(passwdBytes);
90ce3da70b43 Initial load
duke
parents:
diff changeset
   501
            Arrays.fill(passwdBytes, (byte)0x00);
90ce3da70b43 Initial load
duke
parents:
diff changeset
   502
        }
90ce3da70b43 Initial load
duke
parents:
diff changeset
   503
        byte[] digest = md.digest();
90ce3da70b43 Initial load
duke
parents:
diff changeset
   504
90ce3da70b43 Initial load
duke
parents:
diff changeset
   505
        StringBuffer res = new StringBuffer(digest.length * 2);
90ce3da70b43 Initial load
duke
parents:
diff changeset
   506
        for (int i = 0; i < digest.length; i++) {
90ce3da70b43 Initial load
duke
parents:
diff changeset
   507
            int hashchar = ((digest[i] >>> 4) & 0xf);
90ce3da70b43 Initial load
duke
parents:
diff changeset
   508
            res.append(charArray[hashchar]);
90ce3da70b43 Initial load
duke
parents:
diff changeset
   509
            hashchar = (digest[i] & 0xf);
90ce3da70b43 Initial load
duke
parents:
diff changeset
   510
            res.append(charArray[hashchar]);
90ce3da70b43 Initial load
duke
parents:
diff changeset
   511
        }
90ce3da70b43 Initial load
duke
parents:
diff changeset
   512
        return res.toString();
90ce3da70b43 Initial load
duke
parents:
diff changeset
   513
    }
90ce3da70b43 Initial load
duke
parents:
diff changeset
   514
}