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Quadruple-precision floating-point format

Index Quadruple-precision floating-point format

In computing, quadruple precision (or quad precision) is a binary floating-point-based computer number format that occupies 16 bytes (128 bits) in with precision more than twice the 53-bit double precision. [1]

56 relations: AltiVec, Arbitrary-precision arithmetic, Boost (C++ libraries), C (programming language), C++, Computer number format, Computing, Denormal number, Double-precision floating-point format, Exponent bias, Exponentiation, Extended precision, Floating-point arithmetic, Fortran, Free software, GNU Compiler Collection, GNU Fortran, GNU General Public License, GNU Lesser General Public License, Hexadecimal, IBM System/370, IBM System/390, IEEE 754, IEEE 754 revision, Infinity, Intel C++ Compiler, Intel Fortran Compiler, ISO/IEC 10967, Itanium, Long double, MATLAB, Microsoft Visual C++, NaN, Offset binary, Oracle Developer Studio, PA-RISC, POWER9, PowerPC, Primitive data type, Programming language, Round-off error, Sign bit, Signed zero, Significand, Significant figures, SIMD, SPARC, Streaming SIMD Extensions, Unit in the last place, VAX, ..., Vector processor, William Kahan, X86, X86-64, Z/Architecture, 0. Expand index (6 more) »

AltiVec

AltiVec is a single-precision floating point and integer SIMD instruction set designed and owned by Apple, IBM, and Freescale Semiconductor (formerly Motorola's Semiconductor Products Sector) — the AIM alliance.

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Arbitrary-precision arithmetic

In computer science, arbitrary-precision arithmetic, also called bignum arithmetic, multiple-precision arithmetic, or sometimes infinite-precision arithmetic, indicates that calculations are performed on numbers whose digits of precision are limited only by the available memory of the host system.

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Boost (C++ libraries)

Boost is a set of libraries for the C++ programming language that provide support for tasks and structures such as linear algebra, pseudorandom number generation, multithreading, image processing, regular expressions, and unit testing.

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C (programming language)

C (as in the letter ''c'') is a general-purpose, imperative computer programming language, supporting structured programming, lexical variable scope and recursion, while a static type system prevents many unintended operations.

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C++

C++ ("see plus plus") is a general-purpose programming language.

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Computer number format

A computer number format is the internal representation of numeric values in digital computer and calculator hardware and software.

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Computing

Computing is any goal-oriented activity requiring, benefiting from, or creating computers.

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Denormal number

In computer science, denormal numbers or denormalized numbers (now often called subnormal numbers) fill the underflow gap around zero in floating-point arithmetic.

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Double-precision floating-point format

Double-precision floating-point format is a computer number format, usually occupying 64 bits in computer memory; it represents a wide dynamic range of numeric values by using a floating radix point.

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Exponent bias

In IEEE 754 floating point numbers, the exponent is biased in the engineering sense of the word – the value stored is offset from the actual value by the exponent bias.

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Exponentiation

Exponentiation is a mathematical operation, written as, involving two numbers, the base and the exponent.

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Extended precision

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

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Floating-point arithmetic

In computing, floating-point arithmetic is arithmetic using formulaic representation of real numbers as an approximation so as to support a trade-off between range and precision.

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Fortran

Fortran (formerly FORTRAN, derived from Formula Translation) is a general-purpose, compiled imperative programming language that is especially suited to numeric computation and scientific computing.

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Free software

Free software or libre software is computer software distributed under terms that allow users to run the software for any purpose as well as to study, change, and distribute it and any adapted versions.

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GNU Compiler Collection

The GNU Compiler Collection (GCC) is a compiler system produced by the GNU Project supporting various programming languages.

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GNU Fortran

GNU Fortran or GFortran is the name of the GNU Fortran compiler, which is part of the GNU Compiler Collection (GCC).

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GNU General Public License

The GNU General Public License (GNU GPL or GPL) is a widely used free software license, which guarantees end users the freedom to run, study, share and modify the software.

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GNU Lesser General Public License

The GNU Lesser General Public License (LGPL) is a free software license published by the Free Software Foundation (FSF).

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Hexadecimal

In mathematics and computing, hexadecimal (also base, or hex) is a positional numeral system with a radix, or base, of 16.

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IBM System/370

The IBM System/370 (S/370) was a model range of IBM mainframe computers announced on June 30, 1970 as the successors to the System/360 family.

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IBM System/390

The IBM System/390 was the third major generation of the System/360 line of computers.

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IEEE 754

The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point computation established in 1985 by the Institute of Electrical and Electronics Engineers (IEEE).

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IEEE 754 revision

IEEE 754-2008 (previously known as IEEE 754r) was published in August 2008 and is a significant revision to, and replaces, the IEEE 754-1985 floating point standard.

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Infinity

Infinity (symbol) is a concept describing something without any bound or larger than any natural number.

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Intel C++ Compiler

Intel C++ Compiler, also known as icc or icl, is a group of C and C++ compilers from Intel available for Windows, Mac, Linux, FreeBSD and Intel-based Android devices.

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Intel Fortran Compiler

Intel Fortran Compiler, also known as IFORT, is a group of Fortran compilers from Intel for Windows, OS X, and Linux.

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ISO/IEC 10967

ISO/IEC 10967, Language independent arithmetic (LIA), is a series of standards on computer arithmetic.

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Itanium

Itanium is a family of 64-bit Intel microprocessors that implement the Intel Itanium architecture (formerly called IA-64).

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Long double

In C and related programming languages, long double refers to a floating-point data type that is often more precise than double-precision.

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MATLAB

MATLAB (matrix laboratory) is a multi-paradigm numerical computing environment and proprietary programming language developed by MathWorks.

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Microsoft Visual C++

Microsoft Visual C++ (often abbreviated to MSVC) is an integrated development environment (IDE) product from Microsoft for the C, C++, and C++/CLI programming languages.

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NaN

In computing, NaN, standing for not a number, is a numeric data type value representing an undefined or unrepresentable value, especially in floating-point calculations.

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Offset binary

Offset binary, also referred to as excess-K, excess-N, excess code or biased representation, is a digital coding scheme where all-zero corresponds to the minimal negative value and all-one to the maximal positive value.

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Oracle Developer Studio

Oracle Developer Studio, formerly named Oracle Solaris Studio, Sun Studio, Sun WorkShop, Forte Developer, and SunPro Compilers, is Oracle Corporation's flagship software development product for the Solaris and Linux operating systems.

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PA-RISC

PA-RISC is an instruction set architecture (ISA) developed by Hewlett-Packard.

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POWER9

POWER9 is a family of superscalar, Multithreading, symmetric multiprocessors based on the Power Architecture announced in August 2016 at the Hot Chips conference.

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PowerPC

PowerPC (with the backronym Performance Optimization With Enhanced RISC – Performance Computing, sometimes abbreviated as PPC) is a reduced instruction set computing (RISC) instruction set architecture (ISA) created by the 1991 Apple–IBM–Motorola alliance, known as AIM.

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Primitive data type

In computer science, primitive data type is either of the following.

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Programming language

A programming language is a formal language that specifies a set of instructions that can be used to produce various kinds of output.

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Round-off error

A round-off error, also called rounding error, is the difference between the calculated approximation of a number and its exact mathematical value due to rounding.

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Sign bit

In computer science, the sign bit is a bit in a signed number representation that indicates the sign of a number.

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Signed zero

Signed zero is zero with an associated sign.

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Significand

The significand (also mantissa or coefficient) is part of a number in scientific notation or a floating-point number, consisting of its significant digits.

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Significant figures

The significant figures (also known as the significant digits) of a number are digits that carry meaning contributing to its measurement resolution.

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SIMD

Single instruction, multiple data (SIMD) is a class of parallel computers in Flynn's taxonomy.

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SPARC

SPARC, for Scalable Processor Architecture, is a reduced instruction set computing (RISC) instruction set architecture (ISA) originally developed by Sun Microsystems.

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Streaming SIMD Extensions

In computing, Streaming SIMD Extensions (SSE) is an SIMD instruction set extension to the x86 architecture, designed by Intel and introduced in 1999 in their Pentium III series of processors shortly after the appearance of AMD's 3DNow!.

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Unit in the last place

In computer science and numerical analysis, unit in the last place or unit of least precision (ULP) is the spacing between floating-point numbers, i.e., the value the least significant digit represents if it is 1.

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VAX

VAX is a discontinued instruction set architecture (ISA) developed by Digital Equipment Corporation (DEC) in the mid-1970s.

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Vector processor

In computing, a vector processor or array processor is a central processing unit (CPU) that implements an instruction set containing instructions that operate on one-dimensional arrays of data called vectors, compared to scalar processors, whose instructions operate on single data items.

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William Kahan

William "Velvel" Morton Kahan (born June 5, 1933) is a Canadian mathematician and computer scientist who received the Turing Award in 1989 for "his fundamental contributions to numerical analysis", was named an ACM Fellow in 1994, and inducted into the National Academy of Engineering in 2005.

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X86

x86 is a family of backward-compatible instruction set architectures based on the Intel 8086 CPU and its Intel 8088 variant.

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X86-64

x86-64 (also known as x64, x86_64, AMD64 and Intel 64) is the 64-bit version of the x86 instruction set.

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Z/Architecture

z/Architecture, initially and briefly called ESA Modal Extensions (ESAME), is IBM's 64-bit instruction set architecture implemented by its mainframe computers.

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0

0 (zero) is both a number and the numerical digit used to represent that number in numerals.

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References

[1] https://en.wikipedia.org/wiki/Quadruple-precision_floating-point_format

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