Download e-book for iPad: Computer Arithmetic and Self-Validating Numerical Methods by Christian Ullrich

By Christian Ullrich

ISBN-10: 012708245X

ISBN-13: 9780127082455

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R : Untersuchung zur Implementierung von Skalarproduktausdrücken. D i p l o m thesis, I n s t i t u t für A n g e w a n d t e M a t h e m a t i k , U n i v e r s i t ä t K a r l s r u h e , 1987. [Kah 65] K a h a n , W . : Further Remarks on Reducing A C M , vol. 8, n o . 1, J a n . 1965. , M i r a n k e r , W . : S elf-Validating Numerics Space Problems. A c a d e m i c P r e s s , N e w York, 1984. [Kau 87] K a u c h e r , E . , Ullrich, C h . ): Computerarithmetic: Scientific Computation and Programming Languages.

If a d a t a s e g m e n t is modified a n d w r i t t e n b a c k to t h e cache, t h e n t h e r e is t h e q u e s t i o n w h e t h e r t h e c o r r e s p o n d i n g s e g m e n t in t h e off-chip s e g m e n t m e m o r y s h o u l d c o r r e s p o n d i n g l y be u p d a t e d ( w r i t e - t h r o u g h cache) or n o t (store-in cache). W e h a v e decided to s u p p o r t both a p p r o a c h e s , t h e c o r r e s p o n d i n g c a c h e control flags c a n be placed in t h e s t a t u s r e g i s t e r or accu m a n a g e m e n t segment.

R = 34 c = 32 F i g . 8: Folded a c c u m u l a t o r At t h e University of K a r l s r u h e , a scalar p r o d u c t for I E E E d o u b l e precision o p e r a n d s was s t u d i e d [Knö 88]. 3. It consists of 9 rows w i t h 8 c o l u m n s of 64bit processors. T h e available silicon compiler Genesil could n o t pack t h e processor o n a single chip; i n s t e a d , t h e design h a d t o b e cut i n t o eight e q u a l slices. If t h e e x p o n e n t r a n g e of t h e o p e r a n d s c a n b e r e s t r i c t e d , less slices suffice.

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Computer Arithmetic and Self-Validating Numerical Methods by Christian Ullrich

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