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libqd-dev_2.3.22+dfsg.1-2_amd64.deb
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1 Library·for·Double-Double·and·Quad-Double·Arithmetic∗1 Library·for·Double-Double·and·Quad-Double·Arithmetic∗
2 Yozo·Hida†2 Yozo·Hida†
  
3 Xiaoye·S.·Li‡3 Xiaoye·S.·Li‡
  
4 David·H.·Bailey‡4 David·H.·Bailey‡
  
5 February·17,·20225 January·16,·2021
  
6 Abstract6 Abstract
7 A·double-double·number·is·an·unevaluated·sum·of·two·IEEE·double·precision·numbers,7 A·double-double·number·is·an·unevaluated·sum·of·two·IEEE·double·precision·numbers,
8 capable·of·representing·at·least·106·bits·of·significand.·Similarly,·a·quad-double·number·is·an8 capable·of·representing·at·least·106·bits·of·significand.·Similarly,·a·quad-double·number·is·an
9 unevaluated·sum·of·four·IEEE·double·precision·numbers,·capable·of·representing·at·least·212·bits9 unevaluated·sum·of·four·IEEE·double·precision·numbers,·capable·of·representing·at·least·212·bits
10 of·significand.·Algorithms·for·various·arithmetic·operations·(including·the·four·basic·operations10 of·significand.·Algorithms·for·various·arithmetic·operations·(including·the·four·basic·operations
11 and·various·algebraic·and·transcendental·operations)·are·presented.·A·C++·implementation·of11 and·various·algebraic·and·transcendental·operations)·are·presented.·A·C++·implementation·of