From bdbb443194dc92a2c31a961392d2d554a1b25403 Mon Sep 17 00:00:00 2001
From: zimmerma <zimmerma@211d60ee-9f03-0410-a15a-8952a2c7a4e4>
Date: Mon, 23 Dec 2013 09:30:39 +0000
Subject: 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
---
 TODO | 1 +
 1 file changed, 1 insertion(+)

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))      
-- 
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