Add to ORKGNational audienceWe present a new table-based algorithm for the evaluation of the sine and cosine functions, which removes two sources of error in the final step of the evaluation. The tabulation of exact values for sines and cosines is realized thanks to a selection of "good" Pythagorean triples. A method for pre-computing such selections for tables indexed by up to 10 bits in reasonable time and memory consumption is shown, along with a theoretical efficiency comparison between our proposed scheme and the current state of the art of table-based algorithms
The present table gives accurate values of sines and cosines to eighteen places of decimals for ever...
International audienceThree approaches for computing sines and cosines on FPGAs are studied in this ...
Several improvements are made to an algorithm of Higham and Smith for com-puting the matrix cosine. ...
International audienceWe present a new way of approximating the sine and cosine functions by a few t...
International audienceSoftware evaluation of elementary functions usually requires three steps: a ra...
International audienceElementary mathematical functions are pervasively used in many applications su...
Abstract—Linear (order-one) function evaluation schemes, such as bipartite and multipartite tables, ...
This thesis investigates the evaluation of trigonometric functions based on an on-line arithmetic ap...
Abstract. Several existing algorithms for computing the matrix cosine employ polynomial or rational ...
Abstract. Several existing algorithms for computing the matrix cosine employ polynomial or rational ...
Evaluation of the cosine function is done via a simple Cordic-like algorithm, together with a packag...
Several existing algorithms for computing the matrix cosine employ polynomial or rational approximat...
In helping with my high school student\u27s math homework, I was astonished to find no trig tables i...
We propose numerical algorithms which can be integrated with modern computer algebra systems in a wa...
Gal's accurate tables algorithm aims at providing an efficient implementation of mathematical functi...
The present table gives accurate values of sines and cosines to eighteen places of decimals for ever...
International audienceThree approaches for computing sines and cosines on FPGAs are studied in this ...
Several improvements are made to an algorithm of Higham and Smith for com-puting the matrix cosine. ...
International audienceWe present a new way of approximating the sine and cosine functions by a few t...
International audienceSoftware evaluation of elementary functions usually requires three steps: a ra...
International audienceElementary mathematical functions are pervasively used in many applications su...
Abstract—Linear (order-one) function evaluation schemes, such as bipartite and multipartite tables, ...
This thesis investigates the evaluation of trigonometric functions based on an on-line arithmetic ap...
Abstract. Several existing algorithms for computing the matrix cosine employ polynomial or rational ...
Abstract. Several existing algorithms for computing the matrix cosine employ polynomial or rational ...
Evaluation of the cosine function is done via a simple Cordic-like algorithm, together with a packag...
Several existing algorithms for computing the matrix cosine employ polynomial or rational approximat...
In helping with my high school student\u27s math homework, I was astonished to find no trig tables i...
We propose numerical algorithms which can be integrated with modern computer algebra systems in a wa...
Gal's accurate tables algorithm aims at providing an efficient implementation of mathematical functi...
The present table gives accurate values of sines and cosines to eighteen places of decimals for ever...
International audienceThree approaches for computing sines and cosines on FPGAs are studied in this ...
Several improvements are made to an algorithm of Higham and Smith for com-puting the matrix cosine. ...