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Advanced arithmetic for the digital computer : design of arithmetic units

Advanced arithmetic for the digital computer : design of arithmetic units

Material type
단행본
Personal Author
Kulisch, Ulrich.
Title Statement
Advanced arithmetic for the digital computer : design of arithmetic units / Ulrich W. Kulisch.
Publication, Distribution, etc
Wien ;   New York :   Springer,   c2002.  
Physical Medium
xii, 141 p. : 32 ill. (some col.) ; 25 cm.
Series Statement
Springer mathematics
ISBN
3211838708 (pbk.)
Bibliography, Etc. Note
Includes bibliographical references (p. [137]-141).
Subject Added Entry-Topical Term
Computer arithmetic. Computer arithmetic and logic units.
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001 000000849067
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008 021213s2002 au a b 000 0 eng d
010 ▼a 2003542809
020 ▼a 3211838708 (pbk.)
035 ▼a (OCoLC)ocm51223367
040 ▼a OHX ▼b eng ▼c OHX ▼d ITD ▼d DAY ▼d DLC ▼d 211009
042 ▼a lccopycat
049 1 ▼l 121088451 ▼f 과학
050 0 0 ▼a QA76.9.C62 ▼b K85 2002
072 7 ▼a QA ▼2 lcco
082 0 4 ▼a 004.0151 ▼2 21
090 ▼a 004.0151 ▼b K96a
100 1 ▼a Kulisch, Ulrich.
245 1 0 ▼a Advanced arithmetic for the digital computer : ▼b design of arithmetic units / ▼c Ulrich W. Kulisch.
260 ▼a Wien ; ▼a New York : ▼b Springer, ▼c c2002.
300 ▼a xii, 141 p. : ▼b 32 ill. (some col.) ; ▼c 25 cm.
440 0 ▼a Springer mathematics
504 ▼a Includes bibliographical references (p. [137]-141).
650 0 ▼a Computer arithmetic.
650 0 ▼a Computer arithmetic and logic units.

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Science & Engineering Library/Sci-Info(Stacks2)/ Call Number 004.0151 K96a Accession No. 121088451 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of Contents

1. Fast and Accurate Vector Operations.- 1.1 Introduction.- 1.1.1 Background.- 1.1.2 Historic Remarks.- 1.2 Implementation Principles.- 1.2.1 Solution A: Long Adder and Long Shift.- 1.2.2 Solution B: Short Adder with Local Memory on the Arithmetic Unit.- 1.2.3 Remarks.- 1.2.4 Fast Carry Resolution.- 1.3 High-Performance Scalar Product Units (SPU).- 1.3.1 SPU for Computers with a 32 Bit Data Bus.- 1.3.2 SPU for Computers with a 64 Bit Data Bus.- 1.4 Comments on the Scalar Product Units.- 1.4.1 Rounding.- 1.4.2 How much Local Memory should be Provided on a SPU?.- 1.4.3 A SPU Instruction Set.- 1.4.4 Interaction with High Level Programming Languages ..- 1.5.1 Scalar Product Units for Top-Performance Computers.- 1.5.2 Long Adder for 64 Bit Data Word (Solution A).- 1.5.3 Long Adder for 32 Bit Data Word (Solution A).- 1.5.4 Short Adder with Local Memory on the Arithmetic Unit for 64 Bit Data Word (Solution B).- 1.5.1 Short Adder with Local Memory on the Arithmetic Unit for 32 Bit Data Word (Solution B).- 1.6 Hardware Accumulation Window.- 1.7 Theoretical Foundation of Advanced Computer Arithmetic.- Bibliography and Related Literature.- 2. Rounding Near Zero.- 2.1 The one dimensional case.- 2.2 Rounding in product spaces.- Bibliography and Related Literature.- 3. Interval Arithmetic Revisited.- 3.1 Introduction and Historical Remarks.- 3.2 Interval Arithmetic, a Powerful Calculus to Deal with Inequalities.- 3.3 Interval Arithmetic as Executable Set Operations.- 3.4 Enclosing the Range of Function Values.- 3.5 The Interval Newton Method.- 3.6 Extended Interval Arithmetic.- 3.7 The Extended Interval Newton Method.- 3.8 Differentiation Arithmetic, Enclosures of Derivatives.- 3.9 Interval Arithmetic on the Computer.- 3.10 Hardware Support for Interval Arithmetic.- 3.10.1 Addition A + B and Subtraction A ? B.- 3.10.2 Multiplication A B.- 3.10.3 Interval Scalar Product Computation.- 3.10.4 Division A / B.- 3.10.5 Instruction Set for Interval Arithmetic.- 3.10.6 Final Remarks.- Bibliography and Related Literature.


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