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| 4 | original version by:  Nikos Drakos, CBLU, University of Leeds | 
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| 5 | * revised and updated by:  Marcus Hennecke, Ross Moore, Herb Swan | 
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| 58 |  | 
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| 59 | <H1><A NAME="SECTION00010000000000000000"></A> | 
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| 60 | <A NAME="sec:intro"></A> | 
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| 61 | <BR> | 
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| 62 | Introduction | 
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| 63 | </H1> | 
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| 64 |  | 
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| 65 | <P> | 
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| 66 | The CUDD package provides functions to manipulate Binary Decision | 
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| 67 | Diagrams<A NAME="13"></A> (BDDs) [<A | 
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| 68 | HREF="node7.html#BDD">5</A>,<A | 
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| 69 | HREF="node7.html#BBR">3</A>], | 
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| 70 | Algebraic Decision Diagrams<A NAME="15"></A> (ADDs) | 
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| 71 | [<A | 
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| 72 | HREF="node7.html#Bahar93">1</A>], and Zero-suppressed Binary Decision | 
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| 73 | Diagrams<A NAME="17"></A> (ZDDs) | 
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| 74 | [<A | 
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| 75 | HREF="node7.html#Minato93">12</A>]. BDDs are used to represent | 
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| 76 | switching<A NAME="19"></A> functions; ADDs are used to | 
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| 77 | represent function from <IMG | 
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| 78 | WIDTH="58" HEIGHT="37" ALIGN="MIDDLE" BORDER="0" | 
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| 79 | SRC="img3.png" | 
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| 80 | ALT="$\{0,1\}^n$"> to an arbitrary set.  ZDDs | 
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| 81 | represent switching<A NAME="20"></A> functions like BDDs; | 
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| 82 | however, they are much more efficient than BDDs when the functions to | 
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| 83 | be represented are characteristic<A NAME="21"></A> | 
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| 84 | functions of cube<A NAME="22"></A> sets, or in general, when the | 
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| 85 | ON-set<A NAME="23"></A> of the function to be represented is | 
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| 86 | very sparse. They are inferior to BDDs in other cases. | 
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| 87 |  | 
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| 88 | <P> | 
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| 89 | The package provides a large set of operations on BDDs, ADDs, and | 
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| 90 | ZDDs, functions to convert BDDs into ADDs or ZDDs and vice versa, and | 
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| 91 | a large assortment of variable reordering<A NAME="24"></A> methods. | 
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| 92 |  | 
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| 93 | <P> | 
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| 94 | The CUDD package can be used in three ways: | 
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| 95 |  | 
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| 96 | <UL> | 
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| 97 | <LI>As a black box<A NAME="26"></A>.  In this case, the application | 
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| 98 | program that needs to manipulate decision diagrams only uses the | 
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| 99 | exported functions of the package. The rich set of functions | 
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| 100 | included in the CUDD package allows many applications to be written | 
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| 101 | in this way.  Section <A HREF="node3.html#sec:user">3</A> describes how to use the | 
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| 102 | exported functions of the package. An application written in terms | 
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| 103 | of the exported functions of the package needs not concern itself | 
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| 104 | with the details of variable reordering<A NAME="28"></A>, which may | 
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| 105 | take place behind the scenes. | 
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| 106 | Click <A NAME="tex2html1" | 
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| 107 | HREF="cuddExtAbs.html">here</A> | 
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| 108 | for a list of the | 
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| 109 | exported functions. | 
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| 110 | </LI> | 
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| 111 | <LI>As a clear box<A NAME="31"></A>. When writing a sophisticated | 
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| 112 | application based on decision diagrams, efficiency often dictates | 
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| 113 | that some functions be implemented as direct recursive manipulation | 
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| 114 | of the diagrams, instead of being written in terms of existing | 
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| 115 | primitive functions.  Section <A HREF="node4.html#sec:prog">4</A> explains how to add new | 
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| 116 | functions to the CUDD package. It also details how to write a | 
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| 117 | recursive function that can be interrupted by | 
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| 118 | dynamic<A NAME="33"></A> variable reordering. | 
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| 119 | Click <A NAME="tex2html2" | 
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| 120 | HREF="cuddAllAbs.html">here</A> | 
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| 121 | for a list of the | 
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| 122 | exported and internal functions. | 
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| 123 | </LI> | 
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| 124 | <LI>Through an interface. Object-oriented languages like C++ and | 
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| 125 | Perl5 can free the programmer from the burden of memory management. | 
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| 126 | A C++ interface is included in the distribution of CUDD. It | 
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| 127 | automatically frees decision diagrams that are no longer used by the | 
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| 128 | application and overloads operators. Almost all the functionality | 
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| 129 | provided by the CUDD exported functions is available through the C++ | 
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| 130 | interface, which is especially recommended for fast prototyping. | 
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| 131 | Section <A HREF="node5.html#sec:cpp">5</A> explains how to use the interface. A Perl5 | 
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| 132 | interface also exists and is ditributed separately. (See | 
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| 133 | Section <A HREF="node2.html#sec:getFriends">2.2</A>.) Some applications define their own | 
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| 134 | interfaces. See for example Section <A HREF="node3.html#sec:sis-vis">3.17</A>. | 
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| 135 | </LI> | 
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| 136 | </UL> | 
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| 137 | In the following, the reader is supposed to be familiar with the basic | 
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| 138 | ideas about decision diagrams, as found, for instance, in [<A | 
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| 139 | HREF="node7.html#BBR">3</A>]. | 
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| 170 | <ADDRESS> | 
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| 171 | Fabio Somenzi | 
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| 172 | 2005-05-17 | 
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| 173 | </ADDRESS> | 
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