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Advanced arithmetic for the digital computer : design of arithmetic units

Advanced arithmetic for the digital computer : design of arithmetic units

자료유형
단행본
개인저자
Kulisch, Ulrich.
서명 / 저자사항
Advanced arithmetic for the digital computer : design of arithmetic units / Ulrich W. Kulisch.
발행사항
Wien ;   New York :   Springer,   c2002.  
형태사항
xii, 141 p. : 32 ill. (some col.) ; 25 cm.
총서사항
Springer mathematics
ISBN
3211838708 (pbk.)
서지주기
Includes bibliographical references (p. [137]-141).
일반주제명
Computer arithmetic. Computer arithmetic and logic units.
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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
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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.

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 004.0151 K96a 등록번호 121088451 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차

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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