Reliability in computing: the role of interval methods in scientific computing
Reliability in computing: the role of interval methods in scientific computing
Standard functions for real and complex point and interval arguments with dynamic accuracy
on Scientific Computational with automatic result verification
Redundant and On-Line CORDIC: Application to Matrix Triangularization and SVD
IEEE Transactions on Computers
What every computer scientist should know about floating-point arithmetic
ACM Computing Surveys (CSUR)
A new addition scheme and fast scaling factor compensation methods for CORDIC algorithms
Integration, the VLSI Journal
High-precision calculations of vortex sheet motion
Journal of Computational Physics
Elementary functions: algorithms and implementation
Elementary functions: algorithms and implementation
IEEE Transactions on Computers
Radix-4 Vectoring CORDIC Algorithm and Architectures
Journal of VLSI Signal Processing Systems - Special issue on application specific systems, architectures and processors
Parallel Compensation of Scale Factor for the CORDIC Algorithm
Journal of VLSI Signal Processing Systems
A Family of Variable-Precision Interval Arithmetic Processors
IEEE Transactions on Computers
A Fortran Multiple-Precision Arithmetic Package
ACM Transactions on Mathematical Software (TOMS)
C-XSC: A C++ Class Library for Extended Scientific Computing
C-XSC: A C++ Class Library for Extended Scientific Computing
Numerical Accuracy and Hardware Tradeoffs for CORDIC Arithmetic for Special-Purpose Processors
IEEE Transactions on Computers
CORDIC Architectures with Parallel Compensation of the Scale Factor
ASAP '95 Proceedings of the IEEE International Conference on Application Specific Array Processors
Hardware Design and Arithmetic Algorithms for a Variable-Precision, Interval Arithmetic Coprocessor
ARITH '95 Proceedings of the 12th Symposium on Computer Arithmetic
Fast Table-Driven Algorithms for Interval Elementary Functions
ARITH '97 Proceedings of the 13th Symposium on Computer Arithmetic (ARITH '97)
Interval Sine and Cosine Functions Computation Based on Variable-Precision CORDIC Algorithm
ARITH '99 Proceedings of the 14th IEEE Symposium on Computer Arithmetic
A variable-precision, interval arithmetic processor
A variable-precision, interval arithmetic processor
FPGA implementation of variable-precision floating-point arithmetic
APPT'11 Proceedings of the 9th international conference on Advanced parallel processing technologies
A convolve-and-merge approach for exact computations on high-performance reconfigurable computers
International Journal of Reconfigurable Computing - Special issue on High-Performance Reconfigurable Computing
The Journal of Supercomputing
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In this paper we present a specific CORDIC processor for variable-precision coordinates. This system allows us to specify the precision to perform the CORDIC operation, and control the accuracy of the result, in such a way that re-computation of inaccurate results can be carried out with higher precision. It permits a reliable and accurate evaluation of a wide range of elementary functions. The specific architecture designed greatly improves the computational time of previous solutions based on classic polynomial approximation. For controlling error in numerical computation (where intervals are normally narrow) the proposed design performs an interval operation in a time close to that of a point operation.