import Miranda 2.066 from upstream

1 files changed, 31 insertions, 0 deletions

diff --git a/miralib/ex/keith.m b/miralib/ex/keith.m
new file mode 100644
index 0000000..b743de9
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+> ||this tests that floating point overflow is handled correctly
+
+Date:          Mon, 16 Apr 90 17:15:03 CST
+From:          mccrosky@ishmael.usask.ca
+
+Sorry for the delay in sending my bignum problem,  I've been out of town.
+ 
+> keith n = (shownum n) ++ " " ++ (shownum ((log (sumterm n))/n)) where
+>           sumterm n = sum (map prodterm [0..entier (n/2)]) where
+>                       prodterm p = prod (map term [0..p-1]) where
+>                                    term j = x*(x-1)/((p-j)^2) where
+>                                             x = n-(2*j)
+> prod = foldr (*) 1
+> lim = lay (from 1) where from n = (keith n):(from (n*2))
+ 
+ 
+******** This is the execution:
+         (We believe the results up to n=256 are correct).
+ 
+Miranda lim
+1 0.0
+2 0.549306144334
+4 0.736109744792
+8 0.876176116589
+16 0.966470019952
+32 1.021895160467
+64 1.054884461071
+128 1.07405223475
+256 1.084981322415
+512
+should trap floating point overflow here