From c6ca9623378dc9e4517a041ca309a38f36de9e04 Mon Sep 17 00:00:00 2001 From: Sam Moore Date: Mon, 7 Apr 2014 21:52:26 +0800 Subject: [PATCH 1/1] Add some references related to FPUs (hardware) - Most talk about VHDL which in theory I am supposed to know - Not summarised in great detail; adopting a bit of a shotgun approach at the moment --- LiteratureNotes.pdf | Bin 124280 -> 170913 bytes LiteratureNotes.tex | 68 ++++++++++++++++++++++++++++++ ProjectProposalDavid.pdf | Bin 84778 -> 131180 bytes ProjectProposalSam.pdf | Bin 85107 -> 116204 bytes papers.bib | 57 +++++++++++++++++++++++++ references/bishop2008floating.pdf | Bin 0 -> 89751 bytes references/dieter2007lowcost.pdf | Bin 0 -> 62335 bytes references/isbn9789514296598.pdf | Bin 0 -> 1921701 bytes references/kadric2013accurate.pdf | Bin 0 -> 192699 bytes references/kelley1997acmos.pdf | Bin 0 -> 72566 bytes 10 files changed, 125 insertions(+) create mode 100644 references/bishop2008floating.pdf create mode 100644 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The unimplemented operations are compiled for the CPU. + +The paper gives a description of the architecture and design methods. +This appears to be an entry to a student design competition. + +Standard is IEEE 754, but the multiplier tree is a 64-bit tree instead of a 54 bit tree. +`` The primary reason for implementing a larger tree is for future additions of SIMD [Single Instruction Multiple Data (?)] instructions similar to Intel's MMX and Sun's VIS instructions''. + +HSPICE simulations used to determine transistor sizing. + +Paper has a block diagram that sort of vaguely makes sense to me. +The rest requires more background knowledge. + +\section{Simply FPU\cite{filiatreault2003simply}} + +This is a webpage at one degree of seperation from wikipedia. + +It talks about FPU internals, but mostly focuses on the instruction sets. +It includes FPU assembly code examples (!) + +It is probably not that useful, I don't think we'll end up writing FPU assembly? + +FPU's typically have 80 bit registers so they can support REAL4, REAL8 and REAL10 (single, double, extended precision). + + +\section{Floating Point Package User's Guide\cite{bishop2008floating}} + +This is a technical report describing floating point VHDL packages \url{http://www.vhdl.org/fphdl/vhdl.html} + +In theory I know VHDL (cough) so I am interested in looking at this further to see how FPU hardware works. +It might be getting a bit sidetracked from the ``document formats'' scope though. + +The report does talk briefly about the IEEE standard and normalised / denormalised numbers as well. + +See also: Java Optimized Processor\cite{jop} (it has a VHDL implementation of a FPU). + +\section{Low-Cost Microarchitectural Support for Improved Floating-Point Accuracy\cite{dieter2007lowcost}} + +Mentions how GPUs offer very good floating point performance but only for single precision floats. + +Has a diagram of a Floating Point adder. + +Talks about some magical technique called "Native-pair Arithmetic" that somehow makes 32-bit floating point accuracy ``competitive'' with 64-bit floating point numbers. + +\section{Accurate Floating Point Arithmetic through Hardware Error-Free Transformations\cite{kadric2013accurate}} + +From the abstract: ``This paper presents a hardware approach to performing ac- +curate floating point addition and multiplication using the idea of error- +free transformations. Specialized iterative algorithms are implemented +for computing arbitrarily accurate sums and dot products.'' + +The references for this look useful. + +It also mentions VHDL. + +So whenever hardware papers come up, VHDL gets involved... +I guess it's time to try and work out how to use the Opensource VHDL implementations. + + + \pagebreak \bibliographystyle{unsrt} \bibliography{papers} diff --git a/ProjectProposalDavid.pdf b/ProjectProposalDavid.pdf index 6d9c246d27cfa12cf9774529da98f454ee0d5490..5860fbba5d198ab762ecb79af060101a81b80bbc 100644 GIT binary patch delta 121574 zcmV)1K+V6ZmIds92oWVvL`E$!E;R}z(A34)3Nkmd!vRPMlb9F{vquh53bU*l{|N#% zGqV>c!v>QNRt=Z@8vzItF*h(c3NK7$ZfA68G9WQAGB`Ms5yKP(F)}kZHVFg8#6Pf`EXouQF+%>wl}EilYNS(ajFP!3E&p73AO(WM>C(va<{P+t3jr z2#^N4gDn6mtN=wv2apR2t(2pa7X)l&?fRPM-=6?_a|Qs1fB+x!pY8w&dk_R{4s-yh z09~y?_OBVufp!25M{_X9)$6}P&~T7zBwrOsm|1wtomjN^2ujT+aSULU^?l12@0)ZX=bOxH6JK8$|9lXE}Rsc(|9SHDF 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