FILIB++, a fast interval library supporting containment computations

FILIB++, a fast interval library supporting containment computations
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FILIB ,一个支持包含计算的快速区间库

DOI:
10.1145/1141885.1141893
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发表时间:
2006
期刊:
ACM Trans. Math. Softw.
影响因子:
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通讯作者:
W. Krämer
W. Krämer
中科院分区:
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文献类型:
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作者:
M. Lerch;German Tischler;J. W. V. Gudenberg;Werner Hofschuster;W. Krämer

文献摘要

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filib++是区间库filib的扩展,filib最初是在卡尔斯鲁厄大学开发的。filib的最重要目标是快速计算一组全面的基本函数的区间版本的有保证的界限。filib++在两个方面扩展了这个库。首先,它添加了第二种模式,即扩展模式,该模式将无异常计算模式(使用特殊值来表示IEEE 754浮点标准中已知的无穷大和非数)扩展到区间。在这种模式下,计算所谓的包含集以包含一个函数在一个区间上的取值范围的拓扑闭包。其次,我们的新设计使用模板和特性类来获得一个高效、易于扩展且可移植的C++库。
filib++ is an extension of the interval library filib originally developed at the University of Karlsruhe. The most important aim of filib is the fast computation of guaranteed bounds for interval versions of a comprehensive set of elementary functions. filib++ extends this library in two aspects. First, it adds a second mode, the extended mode, that extends the exception-free computation mode (using special values to represent infinities and NaNs known from the IEEE floating-point standard 754) to intervals. In this mode, the so-called containment sets are computed to enclose the topological closure of a range of a function over an interval. Second, our new design uses templates and traits classes to obtain an efficient, easily extendable, and portable C++ library.