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In program analysis, shape analysis is a static code analysis technique that discovers and verifies properties of linked, dynamically allocated data structures in (usually imperative) computer programs. It is typically used at compile time to find software bugs or to verify high-level correctness properties of programs.
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The Java 2D API and its documentation are available for download as a part of JDK 6. Java 2D API classes are organised into the following packages in JDK 6: java.awt The main package for the Java Abstract Window Toolkit. java.awt.geom The Java standard library of two dimensional geometric shapes such as lines, ellipses, and quadrilaterals.
Thus, code written in an object-oriented language that models shapes will frequently choose to make class Circle a subclass of class Ellipse, i.e. inheriting from it. A subclass must provide support for all behaviour supported by the super-class; subclasses must implement any mutator methods defined in a base class.
In the Decorator class, forward all Component methods to the Component pointer; and In the ConcreteDecorator class, override any Component method(s) whose behavior needs to be modified. This pattern is designed so that multiple decorators can be stacked on top of each other, each time adding a new functionality to the overridden method(s).
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A shape grammar consists of shape rules and a generation engine that selects and processes rules. A shape rule defines how an existing (part of a) shape can be transformed. A shape rule consists of two parts separated by an arrow pointing from left to right. The part left of the arrow is termed the Left-Hand Side (LHS). It depicts a condition ...
Mathematically, shape optimization can be posed as the problem of finding a bounded set, minimizing a functional (),possibly subject to a constraint of the form =Usually we are interested in sets which are Lipschitz or C 1 boundary and consist of finitely many components, which is a way of saying that we would like to find a rather pleasing shape as a solution, not some jumble of rough bits ...