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searching for Floating-point arithmetic 146 found (363 total)

alternate case: floating-point arithmetic

ISO/IEC 10967 (432 words) [view diff] no match in snippet view article find links to article

disbanded in 2011. LIA consists of three parts: Part 1: Integer and floating point arithmetic, second edition published 2012. Part 2: Elementary numerical functions

(Not a Number), which has been commonly employed on computers in floating point arithmetic for many years. Dr Anderson defended against the criticism of

not an open source license. XNUMBERS performs multi-precision floating point arithmetic from 15 up to 200 significant digits. The version 5.6 as of 2008

typeset with TeX. Starting with version 1.8, Metapost allows floating-point arithmetic with 64 bits (default: 32 bit fixed-point arithmetic) Many of

still be represented by +0, −0, or 0. The IEEE 754 standard for floating-point arithmetic (presently used by most computers and programming languages that

NTL supports arbitrary length integer and arbitrary precision floating point arithmetic, finite fields, vectors, matrices, polynomials, lattice basis

Riken announced its completion, achieving the petaFLOPS level of floating point arithmetic performance. This was more than three times faster than the 2006

languages were developed by Bell Labs in the 1950s to provide floating-point arithmetic capabilities, simplified memory access, and other enhancements

NAR 2 (Serbian Nastavni Računar 2, en. Educational Computer 2) is a theoretical model of a 32-bit word computer created by Faculty of Mathematics of University

because it gave more accuracy (x4) for data over a 16 bit machine. Floating point arithmetic was not supported. The NSSC-1 was used on the Solar Maximum Mission

FLOW-MATIC, differing in providing algebraic-style expressions and floating-point arithmetic, and arrays rather than record structures. Expressions in MATH-MATIC

(March 1991). "What Every Computer Scientist Should Know About Floating-Point Arithmetic" (PDF). ACM Computing Surveys. 23 (1): 5–48. doi:10.1145/103162

acceleration results mostly from the utilization of compiler's own floating point arithmetic library and graphics library that replace the ZX Spectrum built-in

naturally lead to implementations using floating-point arithmetic. The abstraction of floating-point arithmetic is leaky, and without careful attention

support the full set of C++ features. C99 complex number, IEEE-754 floating-point arithmetic, and variable-length array features were supported in CH before

standard for floating-point arithmetic, with extended binary floating-point arithmetic and (optional) decimal floating-point arithmetic. The constexpr

typically with an accuracy close to that of the underlying computer's floating point arithmetic. This is accomplished by using a polynomial of high degree, and/or

double-precision and 80-bit double-extended precision binary floating-point arithmetic as per the IEEE 754-1985 standard. By default, the x87 processors

60559:2011-compatible binary floating-point arithmetic ISO/IEC TS 18661-2:2015, on IEC 60559:2011-compatible decimal floating point arithmetic ISO/IEC TS 18661-3:2015

in January 1975. This design did not support text strings or floating point arithmetic, thus only using integer arithmetic. The goal was for the program

representations. Floating point, general discussion of accuracy issues in floating point arithmetic Unit in the last place (ULP) Floating Types - Using the GNU Compiler

OS was only implemented on platforms whose CPUs did not afford floating point arithmetic in hardware. For that reason previous versions differed from standard

PCs of the era did not have a floating-point coprocessor so all floating-point arithmetic had to be done in software. Borland's own floating-point algorithms

featured a 50-nanosecond clock, a 25-nanosecond back panel bus, IEEE floating-point arithmetic and a 64-bit architecture. It allowed multiple processors to communicate

Siegfried M. (2010). Verification methods: Rigorous results using floating-point arithmetic. Acta Numerica, 19, 287–449. Validated Numerics for Pedestrians

the two available codes (which reduces noise another 1 dB). No floating-point arithmetic is used in WavPack's data path because, according to the author

It featured a full complement of instructions for fixed and floating point arithmetic and storage-to-storage character operations. All instructions

of fast multi-bit shifts (i.e. a barrel shifter) or hardware floating point arithmetic. In order to solve the equation ln ⁡ ( x ) = y {\displaystyle

registers 6 (PIC) 15 FP registers 8 16 64-bit arithmetic No Yes Floating-point arithmetic x87 SSE Calling convention Memory Registers PIC prologue 2–3 instructions

floating point arithmetic) and the MPE has a dual pipeline each of which can perform 8 flops per cycle per pipeline (64-bit floating point arithmetic)

AVX-512 are 512-bit extensions to the 256-bit Advanced Vector Extensions SIMD instructions for x86 instruction set architecture (ISA) proposed by Intel

greatly in design and capabilities, with some units capable of floating point arithmetic. Some relay-based computers remained in service after the development

measuring performance of integer arithmetic, memory operations, and floating-point arithmetic PAL – a benchmark for realtime physics engines PerfKitBenchmarker

that supported packed decimal integer arithmetic and decimal floating-point arithmetic. IBM's lines of midrange computers, starting with the System/3

fitting Nonlinear least-squares fitting Physical constants IEEE floating-point arithmetic Discrete wavelet transform Since the GSL is written in C, it is

semiconductor diodes. Strela's speed was 2000 operations per second. Its floating-point arithmetic was based on 43-bit floating point words, with a signed 35-bit

using an offset-129 notation (excess-129). The IEEE Standard for Floating-Point Arithmetic (IEEE 754) uses offset notation for the exponent part in each

Nathalie; Stehlé, Damien; Torres, Serge (2010). Handbook of Floating-Point Arithmetic (1 ed.). Birkhäuser. p. 376. doi:10.1007/978-0-8176-4705-6.

could be programmed using machine language. The 9003 did not have floating point arithmetic instructions since it was intended for commercial data processing

2.2 IEEE Computer Society (29 August 2008). IEEE Standard for Floating-Point Arithmetic. doi:10.1109/IEEESTD.2008.4610935. ISBN 978-0-7381-5753-5. IEEE

Paranoia for modern graphics processing units (GPUs) 754-1985 - IEEE Standard for Binary Floating-Point Arithmetic, 1985, Superseded by IEEE Std 754-2008

Imprecise method, which does not guarantee v = v1 when t = 1, due to floating-point arithmetic error. // This method is monotonic. This form may be used when

of four important attributes of performance: double-precision floating-point arithmetic (DGEMM and HPL), local memory bandwidth (STREAM), network bandwidth

Number Systems 4.2. Floating Point Arithmetic 4.2.1. Single-Precision Calculations 4.2.2. Accuracy of Floating Point Arithmetic 4.2.3. Double-Precision

Standard Glossary of Software Engineering Terminology IEEE 754 Floating point arithmetic specifications IEEE 802 LAN/MAN IEEE 802.1 Standards for LAN/MAN

operations for integer operation, interrupt control, and for floating point arithmetic. The didactical approach to floating point calculations, which

used to support a Fortran compiler by implementing support for floating point arithmetic in microcode. Some IBM engineers, including Glenn Henry and Frank

Mark R. (2005). RFC 4042: UTF-9 and UTF-18. IEEE Standard for Floating-Point Arithmetic. 2008-08-29. pp. 1–70. doi:10.1109/IEEESTD.2008.4610935. ISBN 978-0-7381-5752-8

initial System/370 models, and introduced features such as 128-bit floating point arithmetic and block multiplexor channels that are also part of the System/370

1305, respectively. ntpd performs most computations in 64-bit floating point arithmetic and uses 64-bit fixed point operations only when necessary to

textures per pass: 4 Color depth: 24-bit RGB, 32-bit RGBA System floating-point arithmetic capability: 11 GFLOPS (peak) (MPU, Geometry Engine, Hardware Lighting

cycle latency while divide had an 8- to 33-cycle latency. Most floating-point arithmetic instructions except for divide and square-root had a four-cycle

Architecture Russian processor units, Elbrus-8S + Komdiv128-RIO (Floating-point arithmetic accelerator / Coprocessor) Operating system Astra Linux Storage

_Atomic type qualifier) __STDC_NO_ATOMICS__ Not available IEC 60559 floating-point arithmetic (Annex F) __STDC_IEC_559__ Optional IEC 60559 compatible complex

larger local stores (64 KB), 64-bit addressing, double-precision floating-point arithmetic or SIMD single-precision, and 64-bit integer instructions, implemented

unique feature of the Model 44 is "variable-length precision floating point arithmetic". It has the same short floating-point instructions and long floating-point

Moreover, Viswanath computed the numerical value above using floating point arithmetic validated by an analysis of the rounding error. Mark Embree and

real-time community. All models featured a CPU with at least a floating-point arithmetic unit, Memory map with access protection, Memory write protection

models (LLMs) and potentially other AI applications, in lieu of floating point arithmetic. In Robert A. Heinlein's novel Time Enough for Love, the sapient

Autocode". The language was nearly machine-independent and had floating-point arithmetic, unlike the first one. On the other hand it allowed only one operation

quaternary bits to transmit data. Some computers have used quaternary floating point arithmetic including the Illinois ILLIAC II (1962) and the Digital Field

Three-level interrupt system Addressing to 524,288 words Fixed and floating point arithmetic 4-, 8-, 16-, and 32-bit operands 16-, and 32-bit instructions

and is an inaugural SIAM Fellow. Numerical Computing with IEEE Floating Point Arithmetic, SIAM, 2001. "NYU Faculty Profile". Retrieved 27 September 2020

Regression Testing and Hardware Changes Cache Management Usage of Floating-Point Arithmetic Service Experience Rationale for DO-278A Independence in DO-178C/DO-278A

response times of the system. See the article on step response. "Floating-point arithmetic may give inaccurate results in Excel". Microsoft support. June

Rump, S. M. (2010). Verification methods: Rigorous results using floating-point arithmetic. Acta Numerica, 19, 287–449. Hargreaves, G. I. (2002). Interval

Applesoft BASIC, integer arithmetic was implemented on top of floating-point arithmetic, and there were no bitwise operators and no support for blitting

Dan Boris. "I-Robot Tech Page". Kari Johnson (1983). An IEEE floating point arithmetic implementation (PDF). 1983 IEEE 6th Symposium on Computer Arithmetic

triangles requires only addition and division by two, rather than floating point arithmetic. This means that while Bézier triangles are smooth, they can easily

IBM PC, the XT main board included a socket for the Intel 8087 floating point arithmetic coprocessor. This optional chip, when installed, greatly accelerated

coprocessor could be installed to permit hardware processing of floating point arithmetic. The PPC included standard connectors for RS-232, Centronics and

instructions emphasize the need for hardware features. For example, floating-point arithmetic is needed when several computer-bound programs are run. The SDS

that would be called many times (for example, subprograms for floating-point arithmetic), it is important to reduce the size of each call to one word

had a six-stage pipeline, built-in memory-management unit, and floating-point arithmetic. It was manufactured using a two-layer aluminum CMOS process technology

dual destination pads maximized the use of the data channel. The floating point arithmetic modules were both multi-stage processors which were driven by

Matsushita, providing a single-chip product featuring an integrated floating-point arithmetic unit, memory management hardware, branch prediction logic, 8 KB

indicates the upper bound on the relative error due to rounding in floating point arithmetic. In physics, it indicates the permittivity of a medium; with the

the first systems to implement the new IEEE-754 Standard for Floating-Point Arithmetic. An outcome of the failure of the 432 was that microprocessor

addition, 3 seconds for a multiplication. Approximately 1000 floating point arithmetic operations on average an hour. Programming: holes in 35 mm film

table in exact arithmetic, but has errors in finite-precision floating-point arithmetic. In fact, the errors grow as O(ε N) (in both the worst and average

(16 bit signed) BASIC-G Graphics and sound functions BASIC-F Floating point arithmetic FALC Applications package UK Retail prices, December 1983 Sord

characters, so it defines a separate EOF value.) The IEEE 754 floating-point arithmetic standard defines a special "not a number" value which is returned

interfaced with the inserted instruction mechanism. IEEE standard floating point arithmetic was supported. Sixty-four 64-bit wide registers were included

Rump, S. M. (2010). Verification methods: Rigorous results using floating-point arithmetic. Acta Numerica, 19, 287–449. Hargreaves, G. I. (2002). Interval

32-bit FPU, which took two clock cycles to accomplish 64-bit floating point arithmetic. The PowerPC G4 family supports two bus technologies, the older

tanh-sinh quadrature". Hackage. "mpmath library for real and complex floating-point arithmetic with arbitrary precision". mpmath. Ganchovski, Ned. "Tanh-Sinh

Kahan of UC Berkeley, the architect of the IEEE 754 standard for floating-point arithmetic, to design the numerical algorithms implemented by the calculators

contributions to the development of computers, utilizing binary and floating-point arithmetic, memory indexing, operation from a remote console, and program-controlled

statements such as encodes in the MP3 format or implements IEEE floating-point arithmetic. At later stages in the design process, each of these innocent

speed, the handling of unsigned numbers, the implementation of floating-point arithmetic, and a history of security vulnerabilities in the primary Java

transport-only of code values across digital devices that don't support floating-point arithmetic encodings, like SDI cables, monitors, and infrastructure in general

labeled BNC 12. The 1080 computer operated only on integer numbers. Floating point arithmetic was possible using a software package, and hence slow. For fast

was also one of the first computers, if not the first, to have floating point arithmetic. Meg operated for the first time in 1954, and nineteen were sold

due to the R5000's MIPS IV architecture, which enhanced MIPS' floating-point arithmetic capabilities, allowing coordinate transformations to be performed

instructions is still very limited; due to POWER1's inability to reorder floating-point arithmetic instructions (results became available in-order), their destination

Nathalie; Stehlé, Damien; Torres, Serge (2010). Handbook of Floating-Point Arithmetic (1 ed.). Birkhäuser. p. 216. doi:10.1007/978-0-8176-4705-6.

task, it is susceptible to round-off error in finite-precision floating point arithmetic; the NTT has no round-off because it deals purely with fixed-size

double-precision format as specified by the IEEE Standard for Binary Floating-Point Arithmetic (IEEE+754). values between -9,007,199,254,740,992 (-253) to 9

point such as in newer revisions of the IEEE 754 Standard for Floating-Point Arithmetic). Decimal arithmetic is used in computers so that decimal fractional

arithmetic) or subtraction of k{\displaystyle k} from the exponent (for floating-point arithmetic). When implementing the algorithm using fixed-point arithmetic

into a wait state until it is. It also waits if one of the four floating-point arithmetic units is not ready when requested, but due to pipelining, this

integer-only arithmetic, which is generally faster than using floating-point arithmetic. To derive the other method, define the difference to be as follows:

nevertheless require special care to achieve full machine accuracy in floating point arithmetic for all parameter values. Functions for the inverse Gaussian distribution

will be used to compute the function on a computer which uses floating point arithmetic; Including zero-error point constraints. The Fraser-Hart variant

"High-Performance Computation in Residue Number System Using Floating-Point Arithmetic". Computation. 9 (2): 9. doi:10.3390/computation9020009. ISSN

2016-02-07. IEEE Computer Society (2008-08-29). IEEE Standard for Floating-Point Arithmetic. IEEE. doi:10.1109/IEEESTD.2008.4610935. ISBN 978-0-7381-5753-5

DAW by Propellerhead Software 16-, 20- and 24-bit I/O, 32-bit floating point arithmetic and 64-bit summing Reaper 5 DAW by Cockos Inc. 8-bit PCM, 16-bit

a function returning ln(y). The function log1p avoids in the floating point arithmetic a near cancelling of the absolute term 1 with the second term

decimal places). FFT algorithms have errors when finite-precision floating-point arithmetic is used, but these errors are typically quite small; most FFT

ROMs to handle common tasks. Libraries of common routines like floating point arithmetic, graphics primitives, Lempel-Ziv compression, and so forth would

Committee 2008. IEEE Standards Committee (2008). IEEE standard for floating-point arithmetic: 754-2008. Washington, DC: IEEE Computer Society. Kay, Timothy

output of the Bitcoin network rather than its capacity for general floating-point arithmetic operations, since the elements of the Bitcoin network (Bitcoin

Retrieved January 3, 2021. Microsoft's overview is found at: "Floating-point arithmetic may give inaccurate results in Excel". Revision 8.2; article ID:

fixed-point arithmetic that is commonly referred to as block floating point arithmetic. The CKKS scheme includes an efficient rescaling operation that

BASIC, which was previously available as an upgrade, supported floating-point arithmetic, and became the standard BASIC dialect on the Apple II series

determining the initial conditions, and rounding-errors in computer floating point arithmetic. The practical consequence is that, the three-body problem cannot

functions, integrated into C++17, ISO/IEC TR 24733:2011 on decimal floating-point arithmetic, ISO/IEC TS 18822:2015 on the standard filesystem library, integrated

operations, but use stack instructions for its x87, Intel 8087 floating point arithmetic, dating back to the iAPX87 (8087) coprocessor for the 8086 and

instructions for endian-independent operation IEEE Standard for Floating-Point Arithmetic 754-2008 compliant Element precise floating-point exception signaling

The floating-point unit (FPU) Motorola 68882 executed scalar floating-point arithmetic. The vector floating-point unit (VFPU) consisted of the Weitek

single/double. Although Java's floating-point arithmetic is largely based on IEEE 754 (Standard for Binary Floating-Point Arithmetic), certain features are unsupported

instructions emphasize the need for hardware features. For example, floating-point arithmetic is needed when several computer-bound programs are run. The SDS

could be installed that used a repeated subtraction algorithm. Floating point arithmetic instructions were an available option (if the divide option was

user-defined procedures, block-structured local variables and floating point arithmetic. Adaptation to a PC included support for the filename and other

chip designs. The two chips: Y180 intellectual property core Floating point arithmetic unit The DPU sends data to the main Juno computer for communication

limited and expensive memory (RAM). More powerful versions had floating-point arithmetic, and variables could be labelled with names six or more characters

common. 6502 implementations of Microsoft BASIC utilized 40-bit floating point arithmetic, meaning that variables took five bytes to store (four byte mantissa

- Extension for the programming language C to support decimal floating-point arithmetic ISO/IEC TR 24733:2011 Information technology - Programming languages

18661-1:2014 Part 1: Binary floating-point arithmetic ISO/IEC TS 18661-2:2015 Part 2: Decimal floating-point arithmetic ISO/IEC TS 18661-3:2015 Part

perform the multiplication N·(1/D) rather than the division N/D. In floating-point arithmetic the use of (1/D) presents little problem, but in integer arithmetic

times faster than the R140 and was still faster than the R260. Floating-point arithmetic performance of the CP486 was approximately double that of the

performing IBM-compatible single- and double-precision binary and floating-point arithmetic, packed and unpacked decimal storage, and format conversions.

compliant with the ANSI/IEEE Std 754-1985 Standard for Binary Floating-Point Arithmetic. VFP provides floating-point computation suitable for a wide spectrum

(PDF). hp-user-society.de. Retrieved December 21, 2020. "OpenVMS floating-point arithmetic on the Intel Itanium architecture" (PDF). decus.de. 2003. Retrieved

the exascale barrier, completing more than a quintillion 64-bit floating point arithmetic calculations per second. Frontier clocked in at approximately

interactive interpreter for big integer arithmetic and multi-precision floating point arithmetic with a Pascal/Modula-like syntax. It has several builtin functions

range of basic data types. Alongside conventional integer and floating-point arithmetic, it transparently supports arbitrary-precision arithmetic, complex

1990s), there was still a significant performance penalty in using floating-point arithmetic. The GX graphics architecture was built around a number of types

matrix. However, in practice (as the calculations are performed in floating point arithmetic where inaccuracy is inevitable), the orthogonality is quickly

Nathalie; Stehlé, Damien; Torres, Serge (2010). Handbook of Floating-Point Arithmetic (1 ed.). Birkhäuser. doi:10.1007/978-0-8176-4705-6. ISBN 978-0-8176-4704-9

60559:2020 Information technology — Microprocessor Systems — Floating-Point arithmetic The 80000 series is reserved for multi-part standards jointly

IEC 60558 Type C helical video tape recorders IEC 60559 Binary floating-point arithmetic for microprocessor systems (Withdrawn) IEC 60560 Definitions and

3026 for INSEE. A CAB 3040 allowing concurrent calculations and floating-point arithmetic was planned but later abandoned for a newer design. Dorothée 1956

instruction kl AES Key Locker avx512-fp16 AVX-512 half-precision floating-point arithmetic instructions 23 24 clwb CLWB (Cache line writeback) instruction

ring 0. The x87 coprocessor, if present, provides support for floating-point arithmetic. The coprocessor provides eight data registers, each holding one

later added in "Knights Mill". The ER and 4FMAPS instructions are floating-point arithmetic instructions that all follow a given pattern where: EVEX.W is