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authorzimmerma <zimmerma@211d60ee-9f03-0410-a15a-8952a2c7a4e4>2013-12-23 09:30:39 +0000
committerzimmerma <zimmerma@211d60ee-9f03-0410-a15a-8952a2c7a4e4>2013-12-23 09:30:39 +0000
commitbdbb443194dc92a2c31a961392d2d554a1b25403 (patch)
tree0d05d67dfc0ab94209ff5a5cea99447aab642860
parentde2b7e9f3c17892b585ea51ef622c02fea4e8f26 (diff)
downloadmpc-bdbb443194dc92a2c31a961392d2d554a1b25403.tar.gz
added formula for asin(1+i*y) for small y
git-svn-id: svn://scm.gforge.inria.fr/svn/mpc/trunk@1401 211d60ee-9f03-0410-a15a-8952a2c7a4e4
-rw-r--r--TODO1
1 files changed, 1 insertions, 0 deletions
diff --git a/TODO b/TODO
index 4a7f47f..5f2b5a0 100644
--- a/TODO
+++ b/TODO
@@ -33,6 +33,7 @@ sage: %timeit asin(MPComplexField()(1,1))
10000 loops, best of 3: 83.7 us per loop
sage: %timeit asin(MPComplexField()(1,1e-1000))
100 loops, best of 3: 17 ms per loop
+asin(1+i*y) ~ pi/2-y^(1/2) + i*y^(1/2) for y small > 0
Same for acos:
sage: %timeit acos(MPComplexField()(1,1))