17. IEEE Symposium on Computer Arithmetic 2005: Cape Cod, MA, USA
17th IEEE Symposium on Computer Arithmetic (ARITH-17 2005), 27-29 June 2005, Cape Cod, MA, USA. IEEE Computer Society 2005 ISBN 0-7695-2366-8
Introduction
Forword.
Dedication.
Steering Committee.
Symposium Committee.
List of Referees.
Session 1: Keynote Talk
Session 2: Multiplication

Nicolas Brisebarre, Jean-Michel Muller: Correctly Rounded Multiplication by Arbitrary Precision Constants. 13-20
Mark A. Erle, Eric M. Schwarz, Michael J. Schulte: Decimal Multiplication with Efficient Partial Product Generation. 21-28
Session 3: Round Table
Roger A. Golliver, Silvia M. Müller, Stuart F. Oberman, Martin S. Schmookler, Debjit Das Sarma, Andrew Beaumont-Smith: Pain versus Gain in the Hardware Design of FPUs and Supercomputers. 39
Session 4: Applications
Javier D. Bruguera, Tomás Lang: Floating-Point Fused Multiply-Add: Reduced Latency for Floating-Point Addition. 42-51
Silvia M. Müller, Christian Jacobi, Hwa-Joon Oh, Kevin D. Tran, Scott R. Cottier, Brad W. Michael, Hiroo Nishikawa, Yonetaro Totsuka, Tatsuya Namatame, Naoka Yano, Takashi Machida, Sang H. Dhong: The Vector Floating-Point Unit in a Synergistic Processor Element of a CELL Processor. 59-67
Vincent Lefèvre: New Results on the Distance between a Segment and Z2. Application to the Exact Rounding. 68-75
Merav Aharoni, Sigal Asaf, Ron Maharik, Ilan Nehama, Ilya Nikulshin, Abraham Ziv: Solving Constraints on the Invisible Bits of the Intermediate Result for Floating-Point Verification. 76-83
Session 5: Panel
David Hough, Bill Hay, Jeff Kidder, Jason Riedy, Guy L. Steele Jr., Jim Thomas: Arithmetic Interactions: From Hardware to Applications. 87
Session 6: Addition
Youngmoon Choi, Earl E. Swartzlander Jr.: Parallel Prefix Adder Design with Matrix Representation. 90-98
Peter-Michael Seidel: High-Radix Implementation of IEEE Floating-Point Addition. 99-106
Bart R. Zeydel, Theo T. J. H. Kluter, Vojin G. Oklobdzija: Efficient Mapping of Addition Recurrence Algorithms in CMOS. 107-113
Zhaojun Wo, Israel Koren: Synthesis of Saturating Counters Using Traditional and Non-Traditional Basic Counters. 114-121
Session 7: Division
Jean-Michel Muller, Arnaud Tisserand, Benoît Dupont de Dinechin, Christophe Monat: Division by Constant for the ST100 DSP Microprocessor. 124-130
Arch D. Robison: N-Bit Unsigned Division via N-Bit Multiply-Add. 131-139
Naofumi Takagi, Shunsuke Kadowaki, Kazuyoshi Takagi: A Hardware Algorithm for Integer Division. 140-146
Elisardo Antelo, Tomás Lang, Paolo Montuschi, Alberto Nannarelli: Low Latency Digit-Recurrence Reciprocal and Square-Root Reciprocal Algorithm and Architecture. 147-154
Session 8: Cryptography and Galois Fields
David W. Matula, Alex Fit-Florea, Mitchell Aaron Thornton: Table Lookup Structures for Multiplicative Inverses Modulo 2k. 156-163
Jean-Claude Bajard, Laurent Imbert, Graham A. Jullien: Parallel Montgomery Multiplication in GF(2k) Using Trinomial Residue Arithmetic. 164-171
David Harris, Ram Krishnamurthy, Mark Anders, Sanu Mathew, Steven Hsu: An Improved Unified Scalable Radix-2 Montgomery Multiplier. 172-178
Dhananjay S. Phatak, Tom Goff: Fast Modular Reduction for Large Wordlengths via One Linear and One Cyclic Convolution. 179-186
Session 9: Number Systems

Mark G. Arnold: The Residue Logarithmic Number System: Theory and Implementation. 196-205
Jean-Claude Bajard, Laurent Imbert, Thomas Plantard: Arithmetic Operations in the Polynomial Modular Number System. 206-213
Khan Wahid, Vassil S. Dimitrov, Graham A. Jullien: Error-Free Computation of 8x8 2-D DCT and IDCT Using Two-Dimensional Algebraic Integer Quantization. 214-221
Session 10: Function Evaluation and Table Methods, Part 1
E. George Walters III, Michael J. Schulte: Efficient Function Approximation Using Truncated Multipliers and Squarers. 232-239
Pavan Adharapurapu, Milos D. Ercegovac: A Linear-System Operator Based Scheme for Evaluation of Multinomials. 249-256
Session 11: Function Evaluation and Table Methods, Part 2
Peter W. Markstein: A Fast-Start Method for Computing the Inverse Tangent. 266-271
Stuart F. Oberman, Michael Y. Siu: A High-Performance Area-Efficient Multifunction Interpolator. 272-279




