On Sep 21, 2013 4:17 PM, "Bob Hutchison" <hutch-lists@recursive.ca> wrote:
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> On 2013-09-21, at 4:46 AM, Stijn van Drongelen <rhymoid@gmail.com> wrote:
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>> I do have to agree with Damodar Kulkarni that different laws imply different classes. However, this will break **a lot** of existing software.
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> You could argue that the existing software is already broken.
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I agree, but that might also be hardly relevant when fixing an existing language.
>> If we would do this, only Eq and Ord need to be duplicated, as they cause most of the problems. Qualified imports should suffice to differentiate between the two.
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>> import qualified Data.Eq.Approximate as A
>> import qualified Data.Ord.Approximate as A
>>
>> main = print $ 3.16227766016837956 A.== 3.16227766016837955
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> As soon as you start doing computations with fp numbers things get much worse.
Only when you start reasoning about (in)equalities. Really, in (a + b) * c = a * c + b * c, it isn't + or * that's causing problems, but =.
I'm going to look at Kmett's work and that ltu link when I'm home ;)