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Floating-point arithmetic is considered an esoteric subject by many people. This is rather surprising because floating-point is ubiquitous in computer systems. Almost every language has a floating-point datatype;
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docs.sun.com/source/806-3568/ncg_goldberg.html
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The IEEE (Institute of Electrical and Electronics Engineers) has produced a standard for floating point arithmetic. This standard specifies how single precision (32 bit) and double precision (64 bit) floating point numbers are to be represented, as well as how arithmetic should be carried out on them.
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www.psc.edu/general/software/packages/ieee/ieee.html
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ISSUES in floating point note: this discussion only touches the surface of some issues that people deal with. Entire courses could probably be taught on each of the issues. rounding -------- arithmetic operations on fl. pt. values compute results that cannot be represented in the given amount of precision.
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pages.cs.wisc.edu/~smoler/x86text/lect.notes/arith.flpt...
pages.cs.wisc.edu/~smoler/x86text/lect.notes/arith.flpt.html
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IEEE 754-1985 and 854-1987 govern floating-point arithmetic. This page contains informative material related to these standards and the on-going revision. ... IEEE 754-2008 governs binary floating-point arithmetic. It specifies number formats, basic operations, conversions, and exceptional conditions.
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grouper.ieee.org/groups/754/
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This article explains the basics of floating-point arithmetic, how floating-point units (FPUs) work, and how to use FPGAs for easy, low-cost floating-point processing. ... Floating Point to the Rescue; As you have probably guessed, floating-point arithmetic is important in industrial applications like motor control,
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www.dspdesignline.com/showArticle.jhtml?articleID=19660...
www.dspdesignline.com/showArticle.jhtml?articleID=196603215
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C code for orientation and incircle tests using adaptive-precision floating-point arithmetic ... Adaptive Precision Floating-Point Arithmetic and Fast Robust Predicates for Computational Geometry...
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www.cs.cmu.edu/~quake/robust.html
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I had to be reasonably confident that, ultimately, when fast floating-point arithmetic was wired into hardware it would still run at a competitive speed. At the same time I had to be discreet; there were goings on at Intel that I couldn't disclose to the committee.
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www.cs.berkeley.edu/~wkahan/ieee754status/754story.html
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Enter decimal numbers and see the hexadecimal values of its single and double precision floating-point representations. ... Enter a 32-bit value in hexadecimal and see it analyzed as a single-precision floating-point value.
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babbage.cs.qc.edu/IEEE-754/
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CiteSeerX - Document Details (Isaac Councill, Lee Giles): Floating-point arithmetic is considered as esoteric subject by many people. This is rather surprising, because floating-point is ubiquitous in computer systems: Almost every language has a floating-point datatype; ... 29 Floating-Point Computation – Sterbenz - 1974...
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citeseer.ist.psu.edu/goldberg91what.html
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