001/* Scramble an input bit sequence in a pseudo random way.
002
003 Copyright (c) 2003-2014 The Regents of the University of California.
004 All rights reserved.
005 Permission is hereby granted, without written agreement and without
006 license or royalty fees, to use, copy, modify, and distribute this
007 software and its documentation for any purpose, provided that the above
008 copyright notice and the following two paragraphs appear in all copies
009 of this software.
010
011 IN NO EVENT SHALL THE UNIVERSITY OF CALIFORNIA BE LIABLE TO ANY PARTY
012 FOR DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES
013 ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION, EVEN IF
014 THE UNIVERSITY OF CALIFORNIA HAS BEEN ADVISED OF THE POSSIBILITY OF
015 SUCH DAMAGE.
016
017 THE UNIVERSITY OF CALIFORNIA SPECIFICALLY DISCLAIMS ANY WARRANTIES,
018 INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
019 MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE SOFTWARE
020 PROVIDED HEREUNDER IS ON AN "AS IS" BASIS, AND THE UNIVERSITY OF
021 CALIFORNIA HAS NO OBLIGATION TO PROVIDE MAINTENANCE, SUPPORT, UPDATES,
022 ENHANCEMENTS, OR MODIFICATIONS.
023
024 PT_COPYRIGHT_VERSION_2
025 COPYRIGHTENDKEY
026
027 */
028package ptolemy.actor.lib.comm;
029
030import ptolemy.actor.lib.Transformer;
031import ptolemy.data.BooleanToken;
032import ptolemy.data.IntToken;
033import ptolemy.data.expr.Parameter;
034import ptolemy.data.type.BaseType;
035import ptolemy.kernel.CompositeEntity;
036import ptolemy.kernel.util.Attribute;
037import ptolemy.kernel.util.IllegalActionException;
038import ptolemy.kernel.util.NameDuplicationException;
039
040///////////////////////////////////////////////////////////////////
041//// Scrambler
042
043/**
044 Scramble the input bit sequence using a feedback shift register.
045 The initial state of the shift register is given by the <i>initialState</i>
046 parameter, which should be a non-negative integer.
047 The taps of the feedback shift register are given by the <i>polynomial</i>
048 parameter, which should be a positive integer.
049 The n-th bit of this integer indicates whether the n-th tap of the delay
050 line is fed back.
051 The low-order bit is called the 0-th bit, and should always be set.
052 The next low-order bit indicates whether the output of the first delay
053 should be fed back, etc.
054 The input port receives boolean tokens. "TRUE" is treated as 1 and "FALSE"
055 is treated as 0. All the bits that are fed back are exclusive-ored together
056 (i.e., their parity is computed), and the result is exclusive-ored with the
057 input bit. The result is produced at the output and shifted into the delay line.
058 <p>
059 With a proper choice of polynomial, the resulting output appears highly
060 random even if the input is highly non-random.
061 If the polynomial is a <i>primitive polynomial</i>, then the feedback
062 shift register is a so-called <i>maximal length feedback shift register</i>.
063 This means that with a constant input (or no input, which is equivalent
064 to a constant <i>false</i> input) the output will be a sequence with
065 period 2<sup><i>N</i></sup>-1, where <i>N</i> is the order of the
066 polynomial (the length of the shift register).
067 This is the longest possible sequence.
068 Moreover, within this period, the sequence will appear to be white,
069 in that a computed autocorrelation will be very nearly an impulse.
070 Thus, the scrambler with a constant input can be very effectively used
071 to generate a pseudo-random bit sequence.
072 <p>
073 The maximal-length feedback shift register with constant input will
074 pass through 2<sup><i>N</i></sup>-1 states before returning to a state
075 it has been in before.  This is one short of the 2<sup><i>N</i></sup>
076 states that a register with <i>N</i> bits can take on.  This one missing
077 state, in fact, is a <i>lock-up</i> state, in that if the input is
078 an appropriate constant, the scrambler will cease to produce random-looking
079 output, and will output a constant. For example, if the input is all zeros,
080 and the initial state of the scrambler is zero, then the outputs will be all
081 zero, hardly random. This is easily avoided by initializing the scrambler
082 to some non-zero state. The default value for the <i>shiftReg</i> is set to 1.
083 <p>
084 The <i>polynomial</i> must be carefully chosen. It must represent a
085 <i>primitive polynomial</i>, which is one that cannot be factored into two
086 (nontrivial) polynomials with binary coefficients.  See Lee and Messerschmitt
087 (Kluwer, 1994) for more details.  For convenience, we give here
088 a set of primitive polynomials
089 (expressed as octal numbers so that they are easily translated into taps
090 on shift register).  All of these will result in maximal-length pseudo-random
091 sequences if the input is constant and lock-up is avoided:
092 <pre>
093 order    polynomial
094 2        07
095 3        013
096 4        023
097 5        045
098 6        0103
099 7        0211
100 8        0435
101 9        01021
102 10       02011
103 11       04005
104 12       010123
105 13       020033
106 14       042103
107 15       0100003
108 16       0210013
109 17       0400011
110 18       01000201
111 19       02000047
112 20       04000011
113 21       010000005
114 22       020000003
115 23       040000041
116 24       0100000207
117 25       0200000011
118 26       0400000107
119 27       01000000047
120 28       02000000011
121 29       04000000005
122 30       010040000007
123 </pre>
124 <p>
125 The leading zero in the polynomial indicates an octal number.
126 Note also that reversing the order of the bits in any of these numbers
127 will also result in a primitive polynomial.
128 Thus, the default value for the polynomial parameter
129 is 0440001 in octal, or "100 100 000 000 000 001" in binary.
130 Reversing these bits we get "100 000 000 000 001 001" in binary, or
131 0400011 in octal.
132 This latter number is the one listed above as the primitive polynomial
133 of order 17.
134 The order is simply the index of the highest-order non-zero in the polynomial,
135 where the low-order bit has index zero.
136 <p>
137 Since the polynomial and the feedback shift register are both implemented
138 using type "int", the order of the polynomial is limited by the size of
139 the "int" data type.
140 For simplicity and portability, the polynomial is not allowed to be
141 interpreted as a negative integer, so the sign bit cannot be used.
142 Thus, if "int" is a 32-bit word, then the highest order polynomial allowed
143 is 30 (recall that indexing for the order starts at zero, and we cannot
144 use the sign bit).
145 Java has 32-bit integers, so we give the primitive
146 polynomials above only up to order 30.
147 <p>
148 For more information on scrambler, see Lee and Messerschmitt, Digital
149 Communication, Second Edition, Kluwer Academic Publishers, 1994, pp. 595-603.
150 <p>
151 @author Edward A. Lee and Ye Zhou
152 @version $Id$
153 @since Ptolemy II 3.0
154 @Pt.ProposedRating Red (eal)
155 @Pt.AcceptedRating Red (cxh)
156 */
157public class Scrambler extends Transformer {
158    /** Construct an actor with the given container and name.
159     *  The output and trigger ports are also constructed.
160     *  @param container The container.
161     *  @param name The name of this actor.
162     *  @exception IllegalActionException If the entity cannot be contained
163     *   by the proposed container.
164     *  @exception NameDuplicationException If the container already has an
165     *   actor with this name.
166     */
167    public Scrambler(CompositeEntity container, String name)
168            throws NameDuplicationException, IllegalActionException {
169        super(container, name);
170
171        polynomial = new Parameter(this, "polynomial");
172        polynomial.setTypeEquals(BaseType.INT);
173        polynomial.setExpression("0440001");
174
175        initialState = new Parameter(this, "initialState");
176        initialState.setTypeEquals(BaseType.INT);
177        initialState.setExpression("1");
178
179        // Create input port and declare data types.
180        //input = new TypedIOPort(this, "input", true, false);
181        input.setTypeEquals(BaseType.BOOLEAN);
182        output.setTypeEquals(BaseType.BOOLEAN);
183    }
184
185    ///////////////////////////////////////////////////////////////////
186    ////                     ports and parameters                  ////
187
188    /** Integer defining a polynomial with binary coefficients.
189     *  The coefficients indicate the presence (1) or absence (0)
190     *  of a tap in a feedback shift register. This parameter should
191     *  contain a positive integer with the lower-order bit being 1.
192     *  Its default value is the integer 0440001.
193     */
194    public Parameter polynomial;
195
196    /** Integer defining the initial state of the shift register.
197     *  The n-th bit of the integer indicates the value of the
198     *  n-th register. This parameter should be a non-negative
199     *  integer. Its default value is the integer 1.
200     */
201    public Parameter initialState;
202
203    ///////////////////////////////////////////////////////////////////
204    ////                         public methods                    ////
205
206    /** If the attribute being changed is <i>polynomial</i>, then
207     *  verify that is a positive integer and the lower-order bit is 1.
208     *  @param attribute The attribute that changed.
209     *  @exception IllegalActionException If <i>polynomial</i> is
210     *  non-positive or the lower-order bit is not 1.
211     */
212    @Override
213    public void attributeChanged(Attribute attribute)
214            throws IllegalActionException {
215        if (attribute == polynomial) {
216            int mask = ((IntToken) polynomial.getToken()).intValue();
217
218            if (mask <= 0) {
219                throw new IllegalActionException(this,
220                        "Polynomial is required to be strictly positive.");
221            }
222
223            if ((mask & 1) == 0) {
224                throw new IllegalActionException(this,
225                        "The low-order bit of the the polynomial is not set.");
226            }
227        } else {
228            super.attributeChanged(attribute);
229        }
230    }
231
232    /** Read a bit from the input port and shift it into the shift register
233     *  to scramble. Compute the parity and send <i>true</i> to the output
234     *  port if it is 1; otherwise send <i>false</i> to the output port.
235     *  The parity is shifted into the delay line for the next iteration.
236     */
237    @Override
238    public void fire() throws IllegalActionException {
239        super.fire();
240        _latestShiftReg = _shiftReg;
241
242        int mask = ((IntToken) polynomial.getToken()).intValue();
243        int reg = _latestShiftReg << 1;
244        int masked = mask & reg;
245
246        // Find the parity of the "masked".
247        int parity = 0;
248
249        // Calculate the parity of the masked word.
250        while (masked > 0) {
251            parity = parity ^ masked & 1;
252            masked = masked >> 1;
253        }
254
255        // Exclusive-or with the input if there is any.
256        for (int i = 0; i < input.getWidth(); i++) {
257            if (input.hasToken(0)) {
258                BooleanToken inputToken = (BooleanToken) input.get(0);
259                boolean inputTokenValue = inputToken.booleanValue();
260                parity = parity ^ (inputTokenValue ? 1 : 0);
261            }
262        }
263
264        _latestShiftReg = reg | parity;
265
266        if (parity == 1) {
267            output.broadcast(BooleanToken.TRUE);
268        } else {
269            output.broadcast(BooleanToken.FALSE);
270        }
271    }
272
273    /** Initialize the actor by resetting the shift register state
274     *  equal to the value of <i>initialState</i>.
275     *  @exception IllegalActionException If the parent class throws it.
276     */
277    @Override
278    public void initialize() throws IllegalActionException {
279        super.initialize();
280        _latestShiftReg = _shiftReg = ((IntToken) initialState.getToken())
281                .intValue();
282    }
283
284    /** Record the most recent shift register state as the new
285     *  initial state for the next iteration.
286     *  @exception IllegalActionException If the base class throws it
287     */
288    @Override
289    public boolean postfire() throws IllegalActionException {
290        _shiftReg = _latestShiftReg;
291        return super.postfire();
292    }
293
294    ///////////////////////////////////////////////////////////////////
295    ////                         private variables                 ////
296    // Record the state of the shift register.
297    private int _shiftReg;
298
299    // Updated state of the shift register.
300    private int _latestShiftReg;
301}