#15926: conversion from Integer to Double rounds differently depending on the value --------------------------------------+------------------------------------ Reporter: drvirgilio | Owner: (none) Type: bug | Status: new Priority: normal | Milestone: Research needed Component: Compiler | Version: 8.6.2 Keywords: | Operating System: Linux Architecture: x86_64 (amd64) | Type of failure: None/Unknown Test Case: | Blocked By: Blocking: | Related Tickets: Differential Rev(s): | Wiki Page: --------------------------------------+------------------------------------ I'm not sure if this is intended behavior or a bug. For values less than 2^53^, the the Integer can be represented exactly as a Double so there is no issue. For values from 2^53^ to 2^63^, {{{fromInteger n}}} rounds to the nearest {{{Double}}}, where ties go toward the {{{Double}}} with even least significant bit. This matches the behavior of {{{read}}}. For values between 2^63^ and 2^1024^, {{{fromInteger n}}} ''rounds down'' to the next representable {{{Double}}}. Steps to reproduce: These values are all the same except the last one because it falls just below the threshold for the "round to nearest, ties to even" rule. In this example, (2^63^) and (2^63^-2^10^) are the consecutive values of type {{{Double}}}. {{{#!hs
fromInteger (2^63) :: Double -- exactly 9223372036854775808 9.223372036854776e18 fromInteger (2^63 - 1) :: Double -- rounded up 9.223372036854776e18 fromInteger (2^63 - 2^9) :: Double -- rounded up 9.223372036854776e18 fromInteger (2^63 - 2^9 - 1) :: Double -- rounded down 9.223372036854775e18 fromInteger (2^63 - 2^10) :: Double -- exactly 9223372036854774784 9.223372036854775e18 }}}
Here you can see the behavior of {{{fromInteger}}} matches that of {{{read . show}}} {{{#!hs
(read . show) (2^63) :: Double -- exactly 9223372036854775808 9.223372036854776e18 (read . show) (2^63 - 1) :: Double -- rounded up 9.223372036854776e18 (read . show) (2^63 - 2^9) :: Double -- rounded up 9.223372036854776e18 (read . show) (2^63 - 2^9 - 1) :: Double -- rounded down 9.223372036854775e18 (read . show) (2^63 - 2^10) :: Double -- exactly 9223372036854774784 9.223372036854775e18 }}}
Here you can see {{{fromInteger}}} is rounding down. In this example, (2^64^) and (2^64^-2^11^) are the consecutive values of type {{{Double}}}. {{{#!hs
fromInteger (2^64) :: Double -- exactly 18446744073709551616 1.8446744073709552e19 fromInteger (2^64 - 1) :: Double -- rounded down 1.844674407370955e19 fromInteger (2^64 - 2^10) :: Double -- rounded down 1.844674407370955e19 fromInteger (2^64 - 2^10 - 1) :: Double -- rounded down 1.844674407370955e19 fromInteger (2^64 - 2^11) :: Double -- exactly 18446744073709549568 1.844674407370955e19 }}}
Here you can see the behavior of {{{fromInteger}}} does ''not'' match the behavior of {{{read . show}}} {{{#!hs
(read . show) (2^64) :: Double -- exactly 18446744073709551616 1.8446744073709552e19 (read . show) (2^64 - 1) :: Double -- rounded up 1.8446744073709552e19 (read . show) (2^64 - 2^10) :: Double -- rounded up 1.8446744073709552e19 (read . show) (2^64 - 2^10 - 1) :: Double -- rounded down 1.844674407370955e19 (read . show) (2^64 - 2^11) :: Double -- exactly 18446744073709549568 1.844674407370955e19 }}}
-- Ticket URL: http://ghc.haskell.org/trac/ghc/ticket/15926 GHC http://www.haskell.org/ghc/ The Glasgow Haskell Compiler