Results 251 to 260 of about 21,585 (298)

Semantics for exact floating point operations

[1991] Proceedings 10th IEEE Symposium on Computer Arithmetic, 2002
Semantics are given for the four elementary arithmetic operations and the square root, to characterize what are termed exact floating point operations. The operands of the arithmetic operations and the argument of the square root are all floating point numbers in one format.
Bohlender, Gerd, Kornerup, Peter, Matula, David W., Walter, Wolfgang V.   +3 more
openaire   +1 more source

Accurate floating-point operation using controlled floating-point precision

Proceedings of 2011 IEEE Pacific Rim Conference on Communications, Computers and Signal Processing, 2011
Rounding and accumulation of errors when using floating point numbers are important factors in computer arithmetic. Many applications suffer from these problems. The underlying machine architecture and representation of floating point numbers play the major role in the level and value of errors in this type of calculations.
Ahmad M. Zaki, Mohamed H. El-Shafey, Ayman M. Bahaa-Eldin, Gamal M. Aly   +3 more
openaire   +1 more source

Formalization and implementation of floating-point matrix operations

Computing, 1976
The paper shows that floating-point matrix operations can be implemented in a way which leads to reasonable mathematical structures as well as to sensible compatibility properties between these structures and the structure of the real matrices. It turns out, for instance, that all the rules of the minus-operator for real matrices can be saved and that ...
Ulrich W. Kulisch, Gerd Bohlender
openaire   +1 more source

Improving the ratio of memory operations to floating-point operations in loops

ACM Transactions on Programming Languages and Systems, 1994
Over the past decade, microprocessor design strategies have focused on increasing the computational power on a single chip. Because computations often require more data from cache per floating-point operation than a machine can deliver and because operations are pipelined, idle computational cycles are common when scientific applications are executed ...
Steve Carr 0001, Ken Kennedy
openaire   +1 more source

Expressive power of ReLU and step networks under floating-point operations

Neural Networks
The study of the expressive power of neural networks has investigated the fundamental limits of neural networks. Most existing results assume real-valued inputs and parameters as well as exact operations during the evaluation of neural networks. However,
Yeachan Park, Wonyeol Lee
exaly   +2 more sources

VHDL Floating Point Operations

1995
In this paper, we present a set of portable floating point VHDL functions. These functions provide the VHDL programmer with absolute portability and very precise control over floating point operations. A single VHDL type is used to represent single, double, and extended precision floating point numbers.
George S. Powley, Joanne E. DeGroat
openaire   +1 more source

Parameterisable floating-point operations on FPGA

Conference Record of the Thirty-Sixth Asilomar Conference on Signals, Systems and Computers, 2002., 2003
The paper presents a group of IEEE 754-style floating-point units targeted at Xilinx VirtexII FPGA. Special features of the technology are taken advantage of to produce optimised components. Pipelined designs are given that show the latency of /spl sim/100 MHz single-precision components.
B. Lee, N. Burgess
openaire   +1 more source

Floating-Point Operations

2019
The Raspberry Pi is based on a system on a chip. This chip contains the quad-core ARM CPU that we have been studying along with a couple of coprocessors. In this chapter, we’ll be looking at what the floating-point unit (FPU) does. Some ARM documentation refers to this as the Vector Floating Point (VFP) to promote the fact that it can do some limited ...
openaire   +1 more source

Generation of floating point 2D scaling operators for FPGA

2016 IEEE 11th International Symposium on Applied Computational Intelligence and Informatics (SACI), 2016
This paper presents several architectures for an FPGA implementation of a matrix operator for geometric two dimensional scaling using floating point numbers. We have generated synthesizable VHDL implementations of the proposed architectures for several floating point precisions: half, simple and double.
Ovidiu Sicoe, Mircea Popa 0001
openaire   +1 more source

Floating Point Operation

1980
The range of numbers available in a digital computer word as discussed so far is strictly limited. A 32-bit number has a range of about 232 or 1010 numbers. If the numbers are regarded as integers, then it is necessary to scale many problems in order to represent fractions.
openaire   +1 more source