Presentation 2021-12-02
Calculation method of correctly rounded exponential function on an FPGA
Takuya Haraguchi, Naofumi Takagi,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) We propose the FPGA-oriented calculation method of correctly rounded exponential function, exp, which is one of the functions recommended for correct rounding in IEEE754 standard. In this calculation method, exp is calculated with high-radix STL method and Taylor series approximation. By restricting the direction of the calculation error to one direction depending on the sign of the input, we reduce the accuracy required for correct rounding from 158 bits to 114 bits.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) IEEE754 / exponential function / double precision / floating point number / correct rounding / high-radix STL method / FPGA
Paper # VLD2021-35,ICD2021-45,DC2021-41,RECONF2021-43
Date of Issue 2021-11-24 (VLD, ICD, DC, RECONF)

Conference Information
Committee VLD / DC / RECONF / ICD / IPSJ-SLDM
Conference Date 2021/12/1(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Online
Topics (in Japanese) (See Japanese page)
Topics (in English) Design Gaia 2021 -New Field of VLSI Design-
Chair Kazutoshi Kobayashi(Kyoto Inst. of Tech.) / Hiroshi Takahashi(Ehime Univ.) / Kentaro Sano(RIKEN) / Masafumi Takahashi(Kioxia) / Yuichi Nakamura(NEC)
Vice Chair Minako Ikeda(NTT) / Tatsuhiro Tsuchiya(Osaka Univ.) / Yoshiki Yamaguchi(Tsukuba Univ.) / Tomonori Izumi(Ritsumeikan Univ.) / Makoto Ikeda(Univ. of Tokyo)
Secretary Minako Ikeda(Osaka Univ.) / Tatsuhiro Tsuchiya(NEC) / Yoshiki Yamaguchi(Nihon Univ.) / Tomonori Izumi(Chiba Univ.) / Makoto Ikeda(NEC) / (Tokyo Inst. of Tech.)
Assistant / / Yukitaka Takemura(INTEL) / Yasunori Osana(Ryukyu Univ.) / Kosuke Miyaji(Shinshu Univ.) / Yoshiaki Yoshihara(キオクシア) / Takeshi Kuboki(Kyushu Univ.)

Paper Information
Registration To Technical Committee on VLSI Design Technologies / Technical Committee on Dependable Computing / Technical Committee on Reconfigurable Systems / Technical Committee on Integrated Circuits and Devices / Special Interest Group on System and LSI Design Methodology
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Calculation method of correctly rounded exponential function on an FPGA
Sub Title (in English)
Keyword(1) IEEE754
Keyword(2) exponential function
Keyword(3) double precision
Keyword(4) floating point number
Keyword(5) correct rounding
Keyword(6) high-radix STL method
Keyword(7) FPGA
1st Author's Name Takuya Haraguchi
1st Author's Affiliation Kyoto University(Kyoto Univ.)
2nd Author's Name Naofumi Takagi
2nd Author's Affiliation Kyoto University(Kyoto Univ.)
Date 2021-12-02
Paper # VLD2021-35,ICD2021-45,DC2021-41,RECONF2021-43
Volume (vol) vol.121
Number (no) VLD-277,ICD-278,DC-279,RECONF-280
Page pp.pp.105-110(VLD), pp.105-110(ICD), pp.105-110(DC), pp.105-110(RECONF),
#Pages 6
Date of Issue 2021-11-24 (VLD, ICD, DC, RECONF)