JP2008071336A5 - - Google Patents

Download PDF

Info

Publication number
JP2008071336A5
JP2008071336A5 JP2007189740A JP2007189740A JP2008071336A5 JP 2008071336 A5 JP2008071336 A5 JP 2008071336A5 JP 2007189740 A JP2007189740 A JP 2007189740A JP 2007189740 A JP2007189740 A JP 2007189740A JP 2008071336 A5 JP2008071336 A5 JP 2008071336A5
Authority
JP
Japan
Prior art keywords
computed
sign
segments
precision
rcp
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
JP2007189740A
Other languages
English (en)
Other versions
JP5278844B2 (ja
JP2008071336A (ja
Filing date
Publication date
Priority claimed from US11/493,714 external-priority patent/US8346831B1/en
Application filed filed Critical
Publication of JP2008071336A publication Critical patent/JP2008071336A/ja
Publication of JP2008071336A5 publication Critical patent/JP2008071336A5/ja
Application granted granted Critical
Publication of JP5278844B2 publication Critical patent/JP5278844B2/ja
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Description

F(x)=a+b(x−x0)+C(x−x0)(x−x1);
ここでxは単精度あるいは倍精度の浮動小数点数yの仮数部でありy=(sign)(2)(x),−126<=w<126、および1.0<=x<2.0である。一度F(x)が演算されると、RCP(y)は1/y=(sign)(2)−w(F(x))として演算される。いくつかの実施例において2次近似64セグメント(区分)において行われる。64セグメントの各々の開始値x0と終了値x1は以下のものとして演算される。
JP2007189740A 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 Active JP5278844B2 (ja)

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 true JP2008071336A5 (ja) 2013-03-28
JP5278844B2 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 (ja)
EP (1) EP1884859B1 (ja)
JP (1) JP5278844B2 (ja)
KR (1) KR101398723B1 (ja)

Families Citing this family (8)

* Cited by examiner, † Cited by third party
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)

* Cited by examiner, † Cited by third party
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
US7509363B2 (en) * 2001-07-30 2009-03-24 Ati Technologies Ulc Method and system for approximating sine and cosine functions
US6976043B2 (en) * 2001-07-30 2005-12-13 Ati Technologies Inc. Technique for approximating functions based on lagrange polynomials
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

Similar Documents

Publication Publication Date Title
JP2008071336A5 (ja)
JP2006240292A5 (ja)
Sun et al. On some new congruences for binomial coefficients
JP2006526563A5 (ja)
JP2009503002A5 (ja)
JP2012529538A5 (ja)
JP2008540738A5 (ja)
AP2657A (en) Anti-inflammatory compositions comprising tetracyclines and use thereof in therapy
JP2014500993A5 (ja)
JP2009520819A5 (ja)
DK1861080T3 (da) Idebenon til behandling af muskeldystrofier
WO2005073127A3 (fr) Procede de dissolution de nanotubes de carbone et ses applications
SE0203497L (sv) Anordning avsedd att ingå i framställning av kolfiberförstärkt tandprotes
JP2009161589A5 (ja)
JP2008071336A (ja) 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
AU317501S (en) Coating film transfer apparatus
JP2009109594A5 (ja)
JP2008292830A5 (ja)
JP2005005118A5 (ja)
JP2011016776A5 (ja)
Pinkham Singularites de Klein—I
JP2009537647A5 (ja)
JP2011209354A5 (ja)
JP2011008097A5 (ja)
Ma et al. Atomic Decompositions of Weak Hardy Spaces of BValued Martingales