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Extended precision information


Extended precision refers to floating-point number formats that provide greater precision than the basic floating-point formats.[1] Extended precision formats support a basic format by minimizing roundoff and overflow errors in intermediate values of expressions on the base format. In contrast to extended precision, arbitrary-precision arithmetic refers to implementations of much larger numeric types (with a storage count that usually is not a power of two) using special software (or, rarely, hardware).

  1. ^ IEEE 754 (2008, ¶ 2.1.21) defines extended precision format as "A format that extends a supported basic format by providing wider precision and range."

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Extended precision

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Extended precision refers to floating-point number formats that provide greater precision than the basic floating-point formats. Extended precision formats...

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IEEE 754

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extended and extendable precision formats, which provide greater precision than the basic formats. An extended precision format extends a basic format...

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Long double

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architecture, most C compilers implement long double as the 80-bit extended precision type supported by x86 hardware (generally stored as 12 or 16 bytes...

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Machine epsilon

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Machine epsilon or machine precision is an upper bound on the relative approximation error due to rounding in floating point number systems. This value...

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C data types

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decimal interchange formats; _FloatNx for binary extended formats; _DecimalNx for decimal extended formats. Structures aggregate the storage of multiple...

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SSE2

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double extended precision variables, compared with the double and single precision formats implemented in SSE2: the rounding of extended precision intermediate...

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NaN

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semantics for those distinct NaN values). For example, an IEEE 754 single precision (32-bit) NaN would be encoded as s111 1111 1xxx xxxx xxxx xxxx xxxx xxxx...

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Precision Strike Missile

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The Precision Strike Missile (PrSM) is a short-range ballistic missile developed by the United States Army to replace the MGM-140 ATACMS. In March 2016...

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Subnormal number

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m1m2m3...mp−2mp−1 (where m represents a significant digit, and p is the precision) with non-zero m0. Notice that for a binary radix, the leading binary...

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Bluetooth Low Energy beacon

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based on GPS, but with a much reduced impact on battery life and much extended precision. Another application is an indoor positioning system, which helps...

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IBM 1130

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precision" format and a 40-bit "extended precision" format. Standard precision format contains a 24-bit two's complement significand while extended precision...

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Strictfp

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(64-bit, used in Java's double) precision. Some hardware also provides extended precision formats that provide higher precision and/or a larger exponent range...

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ARM architecture family

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it. FPA10 also provides extended precision, but implements correct rounding (required by IEEE 754) only in single precision. VFPv1 Obsolete VFPv2 An...

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High Efficiency Video Coding

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context, enabling DCT and RDPCM blocks to carry a separate context. Extended precision processing, giving low bit-depth video slightly more accurate decoding...

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C99

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single precision, double is defined as double precision, and long double is defined as IEEE 754 extended precision (e.g., Intel 80-bit double extended precision...

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C syntax

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denoted by their specifiers: single precision (float), double precision (double), and double extended precision (long double). Each of these may represent...

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X87

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limited that potential.) The x87 provides single-precision, double-precision and 80-bit double-extended precision binary floating-point arithmetic as per the...

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