DE69329260T2 - Gerät zum Multiplizieren von Ganzzahlen mit vielen Ziffern - Google Patents

Gerät zum Multiplizieren von Ganzzahlen mit vielen Ziffern

Info

Publication number
DE69329260T2
DE69329260T2 DE69329260T DE69329260T DE69329260T2 DE 69329260 T2 DE69329260 T2 DE 69329260T2 DE 69329260 T DE69329260 T DE 69329260T DE 69329260 T DE69329260 T DE 69329260T DE 69329260 T2 DE69329260 T2 DE 69329260T2
Authority
DE
Germany
Prior art keywords
many digits
integers
multiplying
multiplying integers
digits
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.)
Expired - Lifetime
Application number
DE69329260T
Other languages
English (en)
Other versions
DE69329260D1 (de
Inventor
Keiichi Iwamura
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Canon Inc
Original Assignee
Canon Inc
Priority date (The priority date 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 date listed.)
Filing date
Publication date
Priority claimed from JP16708392A external-priority patent/JP3210420B2/ja
Priority claimed from JP04167079A external-priority patent/JP3129525B2/ja
Priority claimed from JP4167081A external-priority patent/JPH0612231A/ja
Priority claimed from JP04167078A external-priority patent/JP3129524B2/ja
Priority claimed from JP4167084A external-priority patent/JPH0612237A/ja
Priority claimed from JP04167080A external-priority patent/JP3129526B2/ja
Priority claimed from JP4167082A external-priority patent/JPH0612235A/ja
Priority claimed from JP4167077A external-priority patent/JPH0612232A/ja
Application filed by Canon Inc filed Critical Canon Inc
Publication of DE69329260D1 publication Critical patent/DE69329260D1/de
Application granted granted Critical
Publication of DE69329260T2 publication Critical patent/DE69329260T2/de
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

Links

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR 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
    • G06F7/52—Multiplying; Dividing
    • G06F7/523—Multiplying only
    • G06F7/53—Multiplying only in parallel-parallel fashion, i.e. both operands being entered in parallel
    • G06F7/5324—Multiplying only in parallel-parallel fashion, i.e. both operands being entered in parallel partitioned, i.e. using repetitively a smaller parallel parallel multiplier or using an array of such smaller multipliers
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR 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
    • G06F7/52—Multiplying; Dividing
    • G06F7/523—Multiplying only
    • G06F7/533—Reduction of the number of iteration steps or stages, e.g. using the Booth algorithm, log-sum, odd-even
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR 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
    • G06F7/72—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 using residue arithmetic
    • G06F7/722—Modular multiplication
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2207/00—Indexing scheme relating to methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F2207/38—Indexing scheme relating to groups G06F7/38 - G06F7/575
    • G06F2207/3804—Details
    • G06F2207/3808—Details concerning the type of numbers or the way they are handled
    • G06F2207/3852—Calculation with most significant digit first
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2207/00—Indexing scheme relating to methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F2207/38—Indexing scheme relating to groups G06F7/38 - G06F7/575
    • G06F2207/3804—Details
    • G06F2207/386—Special constructional features
    • G06F2207/3884—Pipelining
    • G06F2207/3892—Systolic array
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR 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
    • G06F7/72—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 using residue arithmetic
    • G06F7/723—Modular exponentiation

Landscapes

  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computing Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Mathematical Physics (AREA)
  • Complex Calculations (AREA)
DE69329260T 1992-06-25 1993-06-23 Gerät zum Multiplizieren von Ganzzahlen mit vielen Ziffern Expired - Lifetime DE69329260T2 (de)

Applications Claiming Priority (8)

Application Number Priority Date Filing Date Title
JP4167084A JPH0612237A (ja) 1992-06-25 1992-06-25 整数上の乗算回路
JP04167080A JP3129526B2 (ja) 1992-06-25 1992-06-25 整数上の乗算回路
JP04167079A JP3129525B2 (ja) 1992-06-25 1992-06-25 整数上の乗算回路
JP4167077A JPH0612232A (ja) 1992-06-25 1992-06-25 整数上の乗算回路
JP04167078A JP3129524B2 (ja) 1992-06-25 1992-06-25 整数上の乗算回路及び乗算方法
JP16708392A JP3210420B2 (ja) 1992-06-25 1992-06-25 整数上の乗算回路
JP4167082A JPH0612235A (ja) 1992-06-25 1992-06-25 整数上の乗算回路及び乗算方法
JP4167081A JPH0612231A (ja) 1992-06-25 1992-06-25 整数上の乗算回路

Publications (2)

Publication Number Publication Date
DE69329260D1 DE69329260D1 (de) 2000-09-28
DE69329260T2 true DE69329260T2 (de) 2001-02-22

Family

ID=27573294

Family Applications (1)

Application Number Title Priority Date Filing Date
DE69329260T Expired - Lifetime DE69329260T2 (de) 1992-06-25 1993-06-23 Gerät zum Multiplizieren von Ganzzahlen mit vielen Ziffern

Country Status (3)

Country Link
US (1) US5524090A (de)
EP (1) EP0576262B1 (de)
DE (1) DE69329260T2 (de)

Families Citing this family (40)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1122024A (zh) * 1994-08-15 1996-05-08 张胤微 一种任意字长、任意精度的乘法运算方法及乘法器
WO1998019231A1 (en) * 1996-10-31 1998-05-07 Motorola Limited Co-processor for performing modular multiplication
GB2318892B (en) * 1996-10-31 2001-07-11 Motorola Ltd Co-processor for performing modular multiplication
US5974437A (en) * 1996-12-02 1999-10-26 Synopsys, Inc. Fast array multiplier
US6728745B1 (en) * 1997-12-17 2004-04-27 Tadahiro Ohmi Semiconductor circuit for arithmetic operation and method of arithmetic operation
GB2352309B (en) 1999-07-21 2004-02-11 Advanced Risc Mach Ltd A system and method for performing modular multiplication
TW561400B (en) * 2002-04-26 2003-11-11 Silicon Integrated Sys Corp Systolic product-sum circuit in the dual-basis finite field GF(2m) or GF(2n))
US7769797B2 (en) * 2004-01-20 2010-08-03 Samsung Electronics Co., Ltd. Apparatus and method of multiplication using a plurality of identical partial multiplication modules
US7366746B2 (en) * 2004-02-12 2008-04-29 Xerox Corporation Finite impulse response filter method and apparatus
US8190669B1 (en) 2004-10-20 2012-05-29 Nvidia Corporation Multipurpose arithmetic functional unit
US8073892B2 (en) 2005-12-30 2011-12-06 Intel Corporation Cryptographic system, method and multiplier
US8037119B1 (en) * 2006-02-21 2011-10-11 Nvidia Corporation Multipurpose functional unit with single-precision and double-precision operations
US8327115B2 (en) * 2006-04-12 2012-12-04 Soft Machines, Inc. Plural matrices of execution units for processing matrices of row dependent instructions in single clock cycle in super or separate mode
GB2440187A (en) * 2006-07-17 2008-01-23 Ubidyne Inc DUC and DDC forming digital transceiver
CN107368285B (zh) 2006-11-14 2020-10-09 英特尔公司 多线程架构
US8051123B1 (en) 2006-12-15 2011-11-01 Nvidia Corporation Multipurpose functional unit with double-precision and filtering operations
US8106914B2 (en) * 2007-12-07 2012-01-31 Nvidia Corporation Fused multiply-add functional unit
US10228949B2 (en) 2010-09-17 2019-03-12 Intel Corporation Single cycle multi-branch prediction including shadow cache for early far branch prediction
CN103547993B (zh) 2011-03-25 2018-06-26 英特尔公司 通过使用由可分割引擎实例化的虚拟核来执行指令序列代码块
US9842005B2 (en) 2011-03-25 2017-12-12 Intel Corporation Register file segments for supporting code block execution by using virtual cores instantiated by partitionable engines
CN108108188B (zh) 2011-03-25 2022-06-28 英特尔公司 用于通过使用由可分区引擎实例化的虚拟核来支持代码块执行的存储器片段
BR112013026169B1 (pt) 2011-04-14 2020-11-24 Aak Denmark A/S composição de gordura, método para fabricar e uso da mesma, gordura de confeitaria, chocolate ou produto semelhante a chocolate, recheio, método para fabricar um chocolate ou produto semelhante a chocolate, e, confeito
CN107729267B (zh) 2011-05-20 2022-01-25 英特尔公司 资源的分散分配以及用于支持由多个引擎执行指令序列的互连结构
TWI548994B (zh) 2011-05-20 2016-09-11 軟體機器公司 以複數個引擎支援指令序列的執行之互連結構
WO2013077876A1 (en) 2011-11-22 2013-05-30 Soft Machines, Inc. A microprocessor accelerated code optimizer
KR101703401B1 (ko) 2011-11-22 2017-02-06 소프트 머신즈, 인크. 다중 엔진 마이크로프로세서용 가속 코드 최적화기
US9891924B2 (en) 2013-03-15 2018-02-13 Intel Corporation Method for implementing a reduced size register view data structure in a microprocessor
US10140138B2 (en) 2013-03-15 2018-11-27 Intel Corporation Methods, systems and apparatus for supporting wide and efficient front-end operation with guest-architecture emulation
US9886279B2 (en) 2013-03-15 2018-02-06 Intel Corporation Method for populating and instruction view data structure by using register template snapshots
US10275255B2 (en) 2013-03-15 2019-04-30 Intel Corporation Method for dependency broadcasting through a source organized source view data structure
US9811342B2 (en) 2013-03-15 2017-11-07 Intel Corporation Method for performing dual dispatch of blocks and half blocks
WO2014150991A1 (en) 2013-03-15 2014-09-25 Soft Machines, Inc. A method for implementing a reduced size register view data structure in a microprocessor
WO2014150806A1 (en) 2013-03-15 2014-09-25 Soft Machines, Inc. A method for populating register view data structure by using register template snapshots
EP2972836B1 (de) 2013-03-15 2022-11-09 Intel Corporation Verfahren zur emulierung einer zentralisierten gast-flag-architektur mithilfe einer nativen verteilten flag-architektur
CN105210040B (zh) 2013-03-15 2019-04-02 英特尔公司 用于执行分组成块的多线程指令的方法
WO2014150971A1 (en) 2013-03-15 2014-09-25 Soft Machines, Inc. A method for dependency broadcasting through a block organized source view data structure
US9904625B2 (en) 2013-03-15 2018-02-27 Intel Corporation Methods, systems and apparatus for predicting the way of a set associative cache
US9569216B2 (en) 2013-03-15 2017-02-14 Soft Machines, Inc. Method for populating a source view data structure by using register template snapshots
US9417843B2 (en) 2013-08-20 2016-08-16 Apple Inc. Extended multiply
DE102019116104A1 (de) * 2019-06-13 2020-12-17 Infineon Technologies Ag Kryptographieverarbeitungsvorrichtung und -verfahren zum kryptographischen verarbeiten von daten

Family Cites Families (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
NL148455B (nl) * 1948-09-03 Tech Electr Jarret T E J Elektrische machine met variabele reluctantie.
JPS543441A (en) * 1977-06-10 1979-01-11 Hitachi Ltd High-speed arithmetic system
US4493048A (en) * 1982-02-26 1985-01-08 Carnegie-Mellon University Systolic array apparatuses for matrix computations
GB8431925D0 (en) * 1984-12-18 1985-01-30 Secr Defence Digital data processor
JPS6284335A (ja) * 1985-10-09 1987-04-17 Hitachi Ltd 乗算回路
US4939687A (en) * 1988-11-01 1990-07-03 General Electric Company Serial-parallel multipliers using serial as well as parallel addition of partial products
KR920003494B1 (ko) * 1989-06-20 1992-05-01 삼성전자 주식회사 디지탈 신호처리 시스템에서의 실시간 2's 콤플리멘트코드 숫자의 승산방법 및 회로
US5117385A (en) * 1990-03-16 1992-05-26 International Business Machines Corporation Table lookup multiplier with digital filter
US5274832A (en) * 1990-10-04 1993-12-28 National Semiconductor Corporation Systolic array for multidimensional matrix computations
US5262975A (en) * 1991-02-12 1993-11-16 Sony Corporation Serial input multiplier apparatus

Also Published As

Publication number Publication date
EP0576262B1 (de) 2000-08-23
EP0576262A2 (de) 1993-12-29
US5524090A (en) 1996-06-04
EP0576262A3 (de) 1994-03-23
DE69329260D1 (de) 2000-09-28

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