JP5278844B2 - 同一の技術に基づくrcp,sqrt,expおよびlog関数の単一データパス浮動小数点実行及び少ない待ち時間のrcp - Google Patents
同一の技術に基づくrcp,sqrt,expおよびlog関数の単一データパス浮動小数点実行及び少ない待ち時間のrcp Download PDFInfo
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- JP5278844B2 JP5278844B2 JP2007189740A JP2007189740A JP5278844B2 JP 5278844 B2 JP5278844 B2 JP 5278844B2 JP 2007189740 A JP2007189740 A JP 2007189740A JP 2007189740 A JP2007189740 A JP 2007189740A JP 5278844 B2 JP5278844 B2 JP 5278844B2
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- rcp
- single pipeline
- floating point
- sqrt
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- Prior art date
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Classifications
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- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/60—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers
-
- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
-
- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F1/00—Details not covered by groups G06F3/00 - G06F13/00 and G06F21/00
- G06F1/02—Digital function generators
- G06F1/03—Digital function generators working, at least partly, by table look-up
- G06F1/035—Reduction of table size
- G06F1/0356—Reduction of table size by using two or more smaller tables, e.g. addressed by parts of the argument
-
- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2101/00—Indexing scheme relating to the type of digital function generated
- G06F2101/08—Powers or roots
-
- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2101/00—Indexing scheme relating to the type of digital function generated
- G06F2101/10—Logarithmic or exponential functions
-
- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2101/00—Indexing scheme relating to the type of digital function generated
- G06F2101/12—Reciprocal functions
-
- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
- G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
- G06F7/544—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices for evaluating functions by calculation
- G06F7/552—Powers or roots, e.g. Pythagorean sums
- G06F7/5525—Roots or inverse roots of single operands
-
- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
- G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
- G06F7/544—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices for evaluating functions by calculation
- G06F7/556—Logarithmic or exponential functions
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- Engineering & Computer Science (AREA)
- Theoretical Computer Science (AREA)
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- General Engineering & Computer Science (AREA)
- Mathematical Physics (AREA)
- Mathematical Optimization (AREA)
- Mathematical Analysis (AREA)
- Computational Mathematics (AREA)
- Pure & Applied Mathematics (AREA)
- Data Mining & Analysis (AREA)
- Computing Systems (AREA)
- Algebra (AREA)
- Databases & Information Systems (AREA)
- Software Systems (AREA)
- Image Processing (AREA)
- Advance Control (AREA)
- Complex Calculations (AREA)
Applications Claiming Priority (2)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| US11/493,714 | 2006-07-25 | ||
| US11/493,714 US8346831B1 (en) | 2006-07-25 | 2006-07-25 | Systems and methods for computing mathematical functions |
Publications (3)
| Publication Number | Publication Date |
|---|---|
| JP2008071336A JP2008071336A (ja) | 2008-03-27 |
| JP2008071336A5 JP2008071336A5 (enExample) | 2013-03-28 |
| JP5278844B2 true JP5278844B2 (ja) | 2013-09-04 |
Family
ID=38686695
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP2007189740A Active JP5278844B2 (ja) | 2006-07-25 | 2007-07-20 | 同一の技術に基づくrcp,sqrt,expおよびlog関数の単一データパス浮動小数点実行及び少ない待ち時間のrcp |
Country Status (4)
| Country | Link |
|---|---|
| US (2) | US8346831B1 (enExample) |
| EP (1) | EP1884859B1 (enExample) |
| JP (1) | JP5278844B2 (enExample) |
| KR (1) | KR101398723B1 (enExample) |
Families Citing this family (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US8346831B1 (en) * | 2006-07-25 | 2013-01-01 | Vivante Corporation | Systems and methods for computing mathematical functions |
| US9015217B2 (en) * | 2012-03-30 | 2015-04-21 | Apple Inc. | Transcendental and non-linear components using series expansion |
| KR101624711B1 (ko) * | 2013-12-24 | 2016-05-26 | (주)에프씨아이 | 부동소수점 방식을 이용한 데이터 압축/복원 방법 및 장치 |
| JP6770777B2 (ja) * | 2015-04-07 | 2020-10-21 | ビバンテ コーポレーション | 数学的関数を計算するためのシステム及び方法 |
| KR102359265B1 (ko) | 2015-09-18 | 2022-02-07 | 삼성전자주식회사 | 프로세싱 장치 및 프로세싱 장치에서 연산을 수행하는 방법 |
| US20180217814A1 (en) * | 2017-02-02 | 2018-08-02 | Vivante Corporation | Systems And Methods For Computing Mathematical Functions |
| US10725742B2 (en) | 2018-06-05 | 2020-07-28 | Texas Instruments Incorporated | Transcendental function evaluation |
| CN111913686B (zh) * | 2020-05-29 | 2021-12-07 | 无锡市优利康电气有限公司 | 一种定点cpu的快速开平方计算的方法 |
Family Cites Families (23)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US4868776A (en) * | 1987-09-14 | 1989-09-19 | Trw Inc. | Fast fourier transform architecture using hybrid n-bit-serial arithmetic |
| JPH0251771A (ja) * | 1988-08-15 | 1990-02-21 | Nec Corp | 数表と補間式による高速数値計算方式 |
| US5163017A (en) * | 1990-03-23 | 1992-11-10 | Texas Instruments Incorporated | Pipelined Fast Fourier Transform (FFT) architecture |
| JP3453618B2 (ja) * | 1991-10-11 | 2003-10-06 | ヒュンダイ、エレクトロニクス、インダストリーズ、カムパニー、リミテッド | 根の多項近似式を利用した割り算と平方根の為のプロセッサー |
| JPH06223097A (ja) * | 1993-01-22 | 1994-08-12 | Sony Corp | 乗算器、積和演算器の回路記述の発生方法 |
| US5703801A (en) * | 1995-01-31 | 1997-12-30 | Motorola, Inc. | Logarithm/inverse-logarithm converter utilizing second-order term and method of using same |
| JP3790307B2 (ja) * | 1996-10-16 | 2006-06-28 | 株式会社ルネサステクノロジ | データプロセッサ及びデータ処理システム |
| US6163791A (en) * | 1998-02-02 | 2000-12-19 | International Business Machines Corporation | High accuracy estimates of elementary functions |
| US6341300B1 (en) * | 1999-01-29 | 2002-01-22 | Sun Microsystems, Inc. | Parallel fixed point square root and reciprocal square root computation unit in a processor |
| US6675187B1 (en) * | 1999-06-10 | 2004-01-06 | Agere Systems Inc. | Pipelined linear array of processor elements for performing matrix computations |
| US6549924B1 (en) * | 1999-10-01 | 2003-04-15 | Hewlett-Packard Company | Function generating interpolation method and apparatus |
| US6598063B1 (en) * | 2000-08-14 | 2003-07-22 | Lntel Corporation | Fast calculation of (A/B)K by a parallel floating-point processor |
| US6976043B2 (en) * | 2001-07-30 | 2005-12-13 | Ati Technologies Inc. | Technique for approximating functions based on lagrange polynomials |
| US7509363B2 (en) * | 2001-07-30 | 2009-03-24 | Ati Technologies Ulc | Method and system for approximating sine and cosine functions |
| JP3719509B2 (ja) * | 2002-04-01 | 2005-11-24 | 株式会社ソニー・コンピュータエンタテインメント | シリアル演算パイプライン、演算装置、算術論理演算回路およびシリアル演算パイプラインによる演算方法 |
| JP4408613B2 (ja) * | 2002-09-25 | 2010-02-03 | Necエレクトロニクス株式会社 | トランジスタの拡散層長依存性を組み込んだ回路シミュレーション装置およびトランジスタモデル作成方法 |
| JP2004213424A (ja) * | 2003-01-06 | 2004-07-29 | Sony Corp | 情報処理方法、情報処理装置および情報処理プログラム |
| US7346642B1 (en) * | 2003-11-14 | 2008-03-18 | Advanced Micro Devices, Inc. | Arithmetic processor utilizing multi-table look up to obtain reciprocal operands |
| JP2005182719A (ja) * | 2003-12-18 | 2005-07-07 | Oita Technology Licensing Organization Ltd | 関数発生方法と関数発生装置 |
| JP2006065633A (ja) * | 2004-08-27 | 2006-03-09 | Sony Computer Entertainment Inc | 演算方法および装置 |
| US7640285B1 (en) * | 2004-10-20 | 2009-12-29 | Nvidia Corporation | Multipurpose arithmetic functional unit |
| US7676535B2 (en) * | 2005-09-28 | 2010-03-09 | Intel Corporation | Enhanced floating-point unit for extended functions |
| US8346831B1 (en) * | 2006-07-25 | 2013-01-01 | Vivante Corporation | Systems and methods for computing mathematical functions |
-
2006
- 2006-07-25 US US11/493,714 patent/US8346831B1/en active Active
-
2007
- 2007-07-03 EP EP07111660.2A patent/EP1884859B1/en active Active
- 2007-07-20 KR KR1020070072889A patent/KR101398723B1/ko active Active
- 2007-07-20 JP JP2007189740A patent/JP5278844B2/ja active Active
-
2012
- 2012-11-30 US US13/690,897 patent/US20130091189A1/en not_active Abandoned
Also Published As
| Publication number | Publication date |
|---|---|
| EP1884859A2 (en) | 2008-02-06 |
| EP1884859A3 (en) | 2017-07-19 |
| US8346831B1 (en) | 2013-01-01 |
| US20130091189A1 (en) | 2013-04-11 |
| EP1884859B1 (en) | 2019-01-23 |
| KR20080010285A (ko) | 2008-01-30 |
| KR101398723B1 (ko) | 2014-05-26 |
| JP2008071336A (ja) | 2008-03-27 |
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