Search results
Results From The WOW.Com Content Network
In mathematics, a Boolean function is a function whose arguments and result assume values from a two-element set (usually {true, false}, {0,1} or {-1,1}). [1] [2] Alternative names are switching function, used especially in older computer science literature, [3] [4] and truth function (or logical function), used in logic.
To find the value of the Boolean function for a given assignment of (Boolean) values to the variables, we start at the reference edge, which points to the BDD's root, and follow the path that is defined by the given variable values (following a low edge if the variable that labels a node equals FALSE, and following the high edge if the variable ...
The following is a declaration of the concept "equality_comparable" from the <concepts> header of a C++20 standard library. This concept is satisfied by any type T such that for lvalues a and b of type T, the expressions a==b and a!=b as well as the reverse b==a and b!=a compile, and their results are convertible to a type that satisfies the concept "boolean-testable":
In a binary decision diagram, a Boolean function can be represented as a rooted, directed, acyclic graph, which consists of several decision nodes and terminal nodes.In 1993, Shin-ichi Minato from Japan modified Randal Bryant's BDDs for solving combinatorial problems.
An n-bit LUT can encode any n-input Boolean function by storing the truth table of the function in the LUT. This is an efficient way of encoding Boolean logic functions, and LUTs with 4-6 bits of input are in fact the key component of modern field-programmable gate arrays (FPGAs) which provide reconfigurable hardware logic capabilities.
A leaf labeled with a Boolean variable is interpreted as the assignment =, i.e. it represents the Boolean function which evaluates to 1 if and only if =. The Boolean function represented by a {\displaystyle \bigtriangleup } -node is the one that evaluates to 1, if and only if the Boolean function of all its children evaluate to 1.
Reduced Ordered Binary Decision Diagram for the boolean function . The value of a boolean function can be determined by following a path in its BDD down to a terminal, making a binary decision at each node where a solid line is followed if the value of the variable at the node is true and a dotted line if it is false.
Michael Leonov's poly_Boolean, a C++ library, which extends the Schutte algorithm. Angus Johnson's Clipper, an open-source freeware library (written in Delphi, C++ and C#) that's based on the Vatti algorithm. clipper2 crate, a safe Rust wrapper for Angus Johnson's Clipper2 library. GeoLib, a commercial library available in C++ and C#.