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author | Andreas Enge <andreas.enge@inria.fr> | 2017-11-15 15:26:49 +0100 |
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committer | Andreas Enge <andreas.enge@inria.fr> | 2017-11-15 15:26:49 +0100 |
commit | 02d1aeb98129078e1537ad8c5160ce91ebd934ce (patch) | |
tree | a212b75028905a539530914432f7cb2ef7bfcbac | |
parent | 6f2ca79a19f20307ee3b5f619be2f31cab107bd5 (diff) | |
download | mpc-git-02d1aeb98129078e1537ad8c5160ce91ebd934ce.tar.gz |
rootofunity: Tiny modification in the documentation.
* doc/algorithms.tex: Propagate the lower bound of 7 on prec to its second
use.
-rw-r--r-- | doc/algorithms.tex | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/doc/algorithms.tex b/doc/algorithms.tex index 0dc83bf..da6aa33 100644 --- a/doc/algorithms.tex +++ b/doc/algorithms.tex @@ -1937,7 +1937,7 @@ Its absolute error is bounded as follows: \end {align*} The factor $|r \appro {\pi} / \appro {t}|$ is larger than~$1$ only if rounding down has occurred for $|\appro {t}|$ by at most \ulp {0.5}; -with $p \geq 8$, the worst case bound is then $128.5/128$, +with $p \geq 7$, the worst case bound is then $64.5/64$, and the absolute error is bounded by $1.15 \, \Ulp (\appro {t})$. The result is now obtained as |