| 000 | 04698nam a22005535i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-95513-1 | ||
| 003 | DE-He213 | ||
| 005 | 20220801215443.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 181013s2019 sz | s |||| 0|eng d | ||
| 020 |
_a9783319955131 _9978-3-319-95513-1 |
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| 024 | 7 |
_a10.1007/978-3-319-95513-1 _2doi |
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| 050 | 4 | _aTK7867-7867.5 | |
| 072 | 7 |
_aTJFC _2bicssc |
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_aTEC008010 _2bisacsh |
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_aTJFC _2thema |
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| 082 | 0 | 4 |
_a621.3815 _223 |
| 100 | 1 |
_aRussinoff, David M. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _944470 |
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| 245 | 1 | 0 |
_aFormal Verification of Floating-Point Hardware Design _h[electronic resource] : _bA Mathematical Approach / _cby David M. Russinoff. |
| 250 | _a1st ed. 2019. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2019. |
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| 300 |
_aXXIV, 382 p. 32 illus. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 505 | 0 | _a1 Basic Arithmetic Functions -- 2 Bit Vectors -- 3 Logical Operations -- 4 Floating-Point Numbers -- 5 Floating-Point Formats -- 6 Rounding -- 7 IEEE-Compliant Square Root -- 8 Addition -- 9 Multiplication -- 10 SRT Division and Square Root -- 11 FMA-Based Division -- 12 SSE Floating-Point Instructions -- 13 x87 Instructions -- 14 Arm Floating-Point Instructions -- 15 The Modeling Language -- 16 Double-Precision Multiplication -- 17 Double-Precision Addition and FMA -- 18 Multi-Precision Radix-4 SRT Division -- 19 Multi-Precision Radix-4 SRT Square Root. | |
| 520 | _aThis is the first book to focus on the problem of ensuring the correctness of floating-point hardware designs through mathematical methods. Formal Verification of Floating-Point Hardware Design advances a verification methodology based on a unified theory of register-transfer logic and floating-point arithmetic that has been developed and applied to the formal verification of commercial floating-point units over the course of more than two decades, during which the author was employed by several major microprocessor design companies. The book consists of five parts, the first two of which present a rigorous exposition of the general theory based on the first principles of arithmetic. Part I covers bit vectors and the bit manipulation primitives, integer and fixed-point encodings, and bit-wise logical operations. Part II addresses the properties of floating-point numbers, the formats in which they are encoded as bit vectors, and the various modes of floating-point rounding. In Part III, the theory is extended to the analysis of several algorithms and optimization techniques that are commonly used in commercial implementations of elementary arithmetic operations. As a basis for the formal verification of such implementations, Part IV contains high-level specifications of correctness of the basic arithmetic instructions of several major industry-standard floating-point architectures, including all details pertaining to the handling of exceptional conditions. Part V illustrates the methodology, applying the preceding theory to the comprehensive verification of a state-of-the-art commercial floating-point unit. All of these results have been formalized in the logic of the ACL2 theorem prover and mechanically checked to ensure their correctness. They are presented here, however, in simple conventional mathematical notation. The book presupposes no familiarity with ACL2, logic design, or any mathematics beyond basic high school algebra. It will be of interest to verification engineers as well as arithmetic circuit designers who appreciate the value of a rigorous approach to their art, and is suitable as a graduate text in computer arithmetic. . | ||
| 650 | 0 |
_aElectronic circuits. _919581 |
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| 650 | 0 |
_aSoftware engineering. _94138 |
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| 650 | 0 |
_aMicroprocessors. _944471 |
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| 650 | 0 |
_aComputer architecture. _93513 |
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| 650 | 0 |
_aComputers. _98172 |
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| 650 | 1 | 4 |
_aElectronic Circuits and Systems. _944472 |
| 650 | 2 | 4 |
_aSoftware Engineering. _94138 |
| 650 | 2 | 4 |
_aProcessor Architectures. _944473 |
| 650 | 2 | 4 |
_aHardware Performance and Reliability. _932357 |
| 710 | 2 |
_aSpringerLink (Online service) _944474 |
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| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319955124 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319955148 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783030070489 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-95513-1 |
| 912 | _aZDB-2-ENG | ||
| 912 | _aZDB-2-SXE | ||
| 942 | _cEBK | ||
| 999 |
_c77506 _d77506 |
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