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author | Kevin Ryde <user42@zip.com.au> | 2000-06-10 03:40:24 +0200 |
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committer | Kevin Ryde <user42@zip.com.au> | 2000-06-10 03:40:24 +0200 |
commit | ad1c58b0ba8d84ca0f3948fd4a69729a63b66cbf (patch) | |
tree | b84a43410ee68de1fd3d3897f49333d02f7b4487 | |
parent | 0f77cd90424697beb5b3d82514de799dc2b7f0c8 (diff) | |
download | gmp-ad1c58b0ba8d84ca0f3948fd4a69729a63b66cbf.tar.gz |
Remove the division task, now completed, except for one bit now moved
to tasks.html.
-rw-r--r-- | doc/projects.html | 29 |
1 files changed, 0 insertions, 29 deletions
diff --git a/doc/projects.html b/doc/projects.html index a9b08cb0d..b3029d8d7 100644 --- a/doc/projects.html +++ b/doc/projects.html @@ -71,35 +71,6 @@ </ol> -<p> <li> <strong>Division and modular multiplication</strong> - - <p> GMP's current division routines are O(n^2), or to be accurate, O(n(m-n)) - where n is the digit count of the divisor, and m is the digit count of the - dividend. Modular reduction code rely on division, and is thus also slow. - - <p> Desirable new developments: - - <ol> - <li> Implement O(n^1.58) division. There is an algorithm published recently - that accomplish this. - <li> Implement division based on first computing an approximation to the - reciprocal of the divisor, using Newton's algorithm, and then multiplying - the dividend by the approximate reciprocal. - <li> Implement modular multiplication based on Peter Montgomery's REDC - algorithm. This algorithm is O(n^2) and should therefore be used only for - operands under a certain limit. Operands greater than that limit need to - reply on computing the divisor reciprocal, see above. - <li> Make <code>mpz_powm</code>, <code>mpz_powm_ui</code>, etc, use modular - multiplication for the operand ranges where that helps. Actually, these - functions should probably be implemented at the mpn level as part of - this development. - <li> Tune the aging plain division functions. (Mostly done by Torbjörn.) - Perhaps write new functions with better interfaces, - (<code>mpn_tdiv_q</code>, <code>mpn_tdiv_r</code>, - <code>mpn_tdiv_qr</code>) replacing <code>mpn_divmod</code> and (the - slow!) <code>mpn_divrem</code>. - </ol> - <p> <li> <strong>Assembly routines</strong> <p> Write new and tune existing assembly routines. The functions in |