StackOverflow2013

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plurals

PO
primarykey
Id
10789731
data
AcceptedAnswerId
0
AnswerCount
0
ClosedDate
CommentCount
0
CommunityOwnedDate
CreationDate
2012-05-28T19:45:05.330
FavoriteCount
0
LastActivityDate
2012-05-28T19:45:05.330
LastEditDate
LastEditorUserId
0
OwnerUserId
1011995
ParentId
10788486
PostTypeId
2
Score
6
ViewCount
0
LastEditorDisplayName
text
Body
Round towards positive infinity means the result of the rounding is never smaller than the argument. Round towards negative infinity means the result of the rounding is never larger than the argument. Round to nearest, ties to even means the result of rounding is sometimes larger, sometimes smaller than (and sometimes equal to) the argument. Rounding the value <code>+0.100101110</code> to six places after the binary point would result in <pre><code>+0.100110 // for round towards positive infinity +0.100101 // for round towards negative infinity +0.100110 // for round to nearest, ties to even </code></pre> The value is split <pre><code>+0.100101 110 </code></pre> into the bits to be kept and the bits determining the result of the rounding. Since the value is positive and the determining bits are not all 0, rounding towards positive infinity means incrementing the kept part by 1 ULP. Since the value is positive, rounding towards negative infinity simply discards the last bits. Since the first cut off bit is 1 and not all further bits are 0, the value <code>+0.100110</code> is closer to the original than <code>+0.100101</code>, so the result is <code>+0.100110</code>. More instructive for the nearest/even case would be an example or two where we actually have a tie, e.g. round <code>+0.1001</code> to three bits after the binary point: <pre><code>+0.100 1 // halfway between +0.100 and +0.101 </code></pre> here, the rule says to pick the one with last bit 0 (last bit even) of the two closest values, i.e. <code>+0.100</code> and this value is rounded towards negative infinity. But rounding <code>+0.1011</code> would round towards positive infinity, because this time the larger of the two closest values has last bit 0.
Tags
Title
singulars
PostAcceptedAnswerId
1. This table or related slice is empty.
PostParentId
1. POIEEE 754 Rounding to Positive Infinity
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 PostTypePostTypeId
 PTQuestion
PostTypePostTypeId
1. PTAnswer
UserLastEditorUserId
1. This table or related slice is empty.
UserOwnerUserId
1. USDaniel Fischer
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PostLinksRelatedPostIdPostId
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PostsAcceptedAnswerId
1. POIEEE 754 Rounding to Positive Infinity
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 PostTypePostTypeId
 PTQuestion
PostsParentIdCreationDate
1. This table or related slice is empty.
VotesPostIdCreationDate
1. VO
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 PostPostId
 PO
 UserUserId
 This table or related slice is empty.
 VoteTypeVoteTypeId
 VTAcceptedByOriginator
2. VO
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 VTUpMod
CommentsPostId
1. This table or related slice is empty.

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