Re: How to describe this bug?

2012-07-13 Thread Sönke Hahn
On 07/13/2012 03:12 AM, Bardur Arantsson wrote:
 Speaking of which... would it be remiss of me to mention the elephant in
 the room, namely the Eq instance for Float?
 
 AFAICT there is no possible way for a Float value to fulfill the Eq type
 class requirements, so why is it an instance? (I'm thinking of the
 weird Nan/Infinity behvaior primarily). Is there *really* such a huge
 amount of code out there that relies on an Eq (or Ord for that matter!)
 instance for Float? If so... shouldn't that code be fixed rather than
 being subtly buggy?

Num inherits from Eq, so Float couldn't have an instance for Num if we
didn't have that Eq instance.

BTW: My newsgroup client seems to have eaten my last mail. I filed a bug
report here:

http://hackage.haskell.org/trac/ghc/ticket/7069

Cheers,
Sönke


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Re: How to describe this bug?

2012-07-13 Thread Aleksey Khudyakov

On 13.07.2012 14:18, Sönke Hahn wrote:

On 07/13/2012 03:12 AM, Bardur Arantsson wrote:

Speaking of which... would it be remiss of me to mention the elephant in
the room, namely the Eq instance for Float?

AFAICT there is no possible way for a Float value to fulfill the Eq type
class requirements, so why is it an instance? (I'm thinking of the
weird Nan/Infinity behvaior primarily). Is there *really* such a huge
amount of code out there that relies on an Eq (or Ord for that matter!)
instance for Float? If so... shouldn't that code be fixed rather than
being subtly buggy?


Num inherits from Eq, so Float couldn't have an instance for Num if we
didn't have that Eq instance.

No more since GHC 7.4. But Eq is indeed superclass of Ord and it Ord is 
used a lot.


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Re: How to describe this bug?

2012-07-13 Thread Brandon Allbery
On Fri, Jul 13, 2012 at 7:29 AM, Aleksey Khudyakov 
alexey.sklad...@gmail.com wrote:

 Num inherits from Eq, so Float couldn't have an instance for Num if we
 didn't have that Eq instance.

  No more since GHC 7.4. But Eq is indeed superclass of Ord and it Ord is
 used a lot.


...but Float's Ord instance is even more dubious than its Eq.

-- 
brandon s allbery  allber...@gmail.com
wandering unix systems administrator (available) (412) 475-9364 vm/sms
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Re: How to describe this bug?

2012-07-13 Thread Aleksey Khudyakov

On 13.07.2012 19:27, Brandon Allbery wrote:

On Fri, Jul 13, 2012 at 7:29 AM, Aleksey Khudyakov
alexey.sklad...@gmail.com mailto:alexey.sklad...@gmail.com wrote:

Num inherits from Eq, so Float couldn't have an instance for Num
if we
didn't have that Eq instance.

No more since GHC 7.4. But Eq is indeed superclass of Ord and it Ord
is used a lot.


...but Float's Ord instance is even more dubious than its Eq.

What's wrong with it except for NaN? NaN surely breaks every law but 
otherwise it's OK.


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Re: How to describe this bug?

2012-07-12 Thread Bardur Arantsson
On 07/10/2012 12:51 PM, malcolm.wallace wrote:
 Also, it is more likely to be a buggy instance of Eq, than a real loss
 of referential transparency.
 

Speaking of which... would it be remiss of me to mention the elephant in
the room, namely the Eq instance for Float?

AFAICT there is no possible way for a Float value to fulfill the Eq type
class requirements, so why is it an instance? (I'm thinking of the
weird Nan/Infinity behvaior primarily). Is there *really* such a huge
amount of code out there that relies on an Eq (or Ord for that matter!)
instance for Float? If so... shouldn't that code be fixed rather than
being subtly buggy?

Regards,


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Re: How to describe this bug?

2012-07-11 Thread Christian Maeder

Hi,

I think this bug is serious and should be turned into a ticket on 
http://hackage.haskell.org/trac/ghc/

Would you do so Sönke?

The abstraction of floats (Float or Double) is broken if equality 
considers (random and invisible) excess bits that are not part of the 
ordinary sign, exponent and fraction representation.


It should also hold: show f1 == show f2  = f1 == f2
and: read (show f) == f
(apart from NaN)

Why do you doubt that we'll ever fix this, Simon?

What is the problem to disable -fexcess-precision or enable -msse2 (on 
most machines) by default?


Cheers Christian

Am 10.07.2012 14:33, schrieb Simon Marlow:

On 10/07/2012 12:21, Aleksey Khudyakov wrote:

On Tue, Jul 10, 2012 at 3:06 PM, Sönke Hahn sh...@cs.tu-berlin.de
wrote:

I've attached the code. The code does not make direct use of
unsafePerformIO. It uses QuickCheck, but I don't think, this is a
QuickCheck bug. The used Eq-instance is the one for Float.

I've only managed to reproduce this bug on 32-bit-linux with ghc-7.4.2
when compiling with -O2.


It's expected behaviour with floats. Calculations in FPU are done in
maximul precision available.  If one evaluation result is kept in
registers
and another has been moved to memory and rounded and move back to
registers
number will be not the same indeed.

In short. Never compare floating point number for equality unless you
really know
what are you doing.


I consider it a bug, because as the original poster pointed out it is a
violation of referential transparency.  What's more, it is *not* an
inherent property of floating point arithmetic, because if the compiler
is careful to do all the operations at the correct precision then you
can get determinstic results.  This is why GHC has the
-fexcess-precision flag: you have to explicitly ask to break referential
transparency.

The bug is that the x86 native code generator behaves as if
-fexcess-precision is always on.  I seriously doubt that we'll ever fix
this bug: you can get correct behaviour by enabling -msse2, or using a
64-bit machine.  I don't off-hand know what the LLVM backend does here,
but I would guess that it has the same bug.

Cheers,
 Simon

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Re: How to describe this bug?

2012-07-11 Thread Simon Marlow

On 11/07/2012 08:36, Christian Maeder wrote:

Hi,

I think this bug is serious and should be turned into a ticket on
http://hackage.haskell.org/trac/ghc/
Would you do so Sönke?

The abstraction of floats (Float or Double) is broken if equality
considers (random and invisible) excess bits that are not part of the
ordinary sign, exponent and fraction representation.

It should also hold: show f1 == show f2  = f1 == f2
and: read (show f) == f
(apart from NaN)

Why do you doubt that we'll ever fix this, Simon?


Several reasons:

 - the fix hurts performance badly, because you have to store floats
   into memory after every operation. (c.f. gcc's -ffloat-store option)
 - the fix is complicated
 - good workarounds exist (-msse2)
 - it is rarely a problem


What is the problem to disable -fexcess-precision or enable -msse2 (on
most machines) by default?


-fexcess-precision cannot be disabled on x86 (that is the bug).

-msse2 is not supported on all processors, so we can't enable it by default.

Cheers,
Simon




Cheers Christian

Am 10.07.2012 14:33, schrieb Simon Marlow:

On 10/07/2012 12:21, Aleksey Khudyakov wrote:

On Tue, Jul 10, 2012 at 3:06 PM, Sönke Hahn sh...@cs.tu-berlin.de
wrote:

I've attached the code. The code does not make direct use of
unsafePerformIO. It uses QuickCheck, but I don't think, this is a
QuickCheck bug. The used Eq-instance is the one for Float.

I've only managed to reproduce this bug on 32-bit-linux with ghc-7.4.2
when compiling with -O2.


It's expected behaviour with floats. Calculations in FPU are done in
maximul precision available.  If one evaluation result is kept in
registers
and another has been moved to memory and rounded and move back to
registers
number will be not the same indeed.

In short. Never compare floating point number for equality unless you
really know
what are you doing.


I consider it a bug, because as the original poster pointed out it is a
violation of referential transparency.  What's more, it is *not* an
inherent property of floating point arithmetic, because if the compiler
is careful to do all the operations at the correct precision then you
can get determinstic results.  This is why GHC has the
-fexcess-precision flag: you have to explicitly ask to break referential
transparency.

The bug is that the x86 native code generator behaves as if
-fexcess-precision is always on.  I seriously doubt that we'll ever fix
this bug: you can get correct behaviour by enabling -msse2, or using a
64-bit machine.  I don't off-hand know what the LLVM backend does here,
but I would guess that it has the same bug.

Cheers,
 Simon

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Re: How to describe this bug?

2012-07-11 Thread Christian Maeder

Am 11.07.2012 10:25, schrieb Simon Marlow:

On 11/07/2012 08:36, Christian Maeder wrote:

Hi,

I think this bug is serious and should be turned into a ticket on
http://hackage.haskell.org/trac/ghc/
Would you do so Sönke?

The abstraction of floats (Float or Double) is broken if equality
considers (random and invisible) excess bits that are not part of the
ordinary sign, exponent and fraction representation.

It should also hold: show f1 == show f2  = f1 == f2
and: read (show f) == f
(apart from NaN)

Why do you doubt that we'll ever fix this, Simon?


Several reasons:

  - the fix hurts performance badly, because you have to store floats
into memory after every operation. (c.f. gcc's -ffloat-store option)


If we sacrifice correctness for performance then we should clearly 
document this!


Is it not enough to store floats into memory just before equality tests 
(or add rounding in the instance definitions of Float and Double in Eq 
and Ord)?



  - the fix is complicated
  - good workarounds exist (-msse2)
  - it is rarely a problem


Rare cases are extremely hard to track down if they occur!


What is the problem to disable -fexcess-precision or enable -msse2 (on
most machines) by default?


-fexcess-precision cannot be disabled on x86 (that is the bug).

-msse2 is not supported on all processors, so we can't enable it by
default.


Can't configure find this out?

C.


Cheers,
 Simon




Cheers Christian

Am 10.07.2012 14:33, schrieb Simon Marlow:

On 10/07/2012 12:21, Aleksey Khudyakov wrote:

On Tue, Jul 10, 2012 at 3:06 PM, Sönke Hahn sh...@cs.tu-berlin.de
wrote:

I've attached the code. The code does not make direct use of
unsafePerformIO. It uses QuickCheck, but I don't think, this is a
QuickCheck bug. The used Eq-instance is the one for Float.

I've only managed to reproduce this bug on 32-bit-linux with ghc-7.4.2
when compiling with -O2.


It's expected behaviour with floats. Calculations in FPU are done in
maximul precision available.  If one evaluation result is kept in
registers
and another has been moved to memory and rounded and move back to
registers
number will be not the same indeed.

In short. Never compare floating point number for equality unless you
really know
what are you doing.


I consider it a bug, because as the original poster pointed out it is a
violation of referential transparency.  What's more, it is *not* an
inherent property of floating point arithmetic, because if the compiler
is careful to do all the operations at the correct precision then you
can get determinstic results.  This is why GHC has the
-fexcess-precision flag: you have to explicitly ask to break referential
transparency.

The bug is that the x86 native code generator behaves as if
-fexcess-precision is always on.  I seriously doubt that we'll ever fix
this bug: you can get correct behaviour by enabling -msse2, or using a
64-bit machine.  I don't off-hand know what the LLVM backend does here,
but I would guess that it has the same bug.

Cheers,
 Simon

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Re: How to describe this bug?

2012-07-11 Thread Simon Marlow

On 11/07/2012 09:51, Christian Maeder wrote:

Am 11.07.2012 10:25, schrieb Simon Marlow:

On 11/07/2012 08:36, Christian Maeder wrote:

Hi,

I think this bug is serious and should be turned into a ticket on
http://hackage.haskell.org/trac/ghc/
Would you do so Sönke?

The abstraction of floats (Float or Double) is broken if equality
considers (random and invisible) excess bits that are not part of the
ordinary sign, exponent and fraction representation.

It should also hold: show f1 == show f2  = f1 == f2
and: read (show f) == f
(apart from NaN)

Why do you doubt that we'll ever fix this, Simon?


Several reasons:

  - the fix hurts performance badly, because you have to store floats
into memory after every operation. (c.f. gcc's -ffloat-store option)


If we sacrifice correctness for performance then we should clearly
document this!


I will document it in the User's Guide along with the other known bugs.


What is the problem to disable -fexcess-precision or enable -msse2 (on
most machines) by default?


-fexcess-precision cannot be disabled on x86 (that is the bug).

-msse2 is not supported on all processors, so we can't enable it by
default.


Can't configure find this out?


Configure will detect whether the machine you're building on supports 
-msse2, but not whether the machine that you will eventually *run* the 
code on does.  For instance, when building GHC for distribution we have 
to assume that the target machine does not support SSE2, so all the 
libraries must be built without -msse2.


Cheers,
Simon




C.


Cheers,
 Simon




Cheers Christian

Am 10.07.2012 14:33, schrieb Simon Marlow:

On 10/07/2012 12:21, Aleksey Khudyakov wrote:

On Tue, Jul 10, 2012 at 3:06 PM, Sönke Hahn sh...@cs.tu-berlin.de
wrote:

I've attached the code. The code does not make direct use of
unsafePerformIO. It uses QuickCheck, but I don't think, this is a
QuickCheck bug. The used Eq-instance is the one for Float.

I've only managed to reproduce this bug on 32-bit-linux with
ghc-7.4.2
when compiling with -O2.


It's expected behaviour with floats. Calculations in FPU are done in
maximul precision available.  If one evaluation result is kept in
registers
and another has been moved to memory and rounded and move back to
registers
number will be not the same indeed.

In short. Never compare floating point number for equality unless you
really know
what are you doing.


I consider it a bug, because as the original poster pointed out it is a
violation of referential transparency.  What's more, it is *not* an
inherent property of floating point arithmetic, because if the compiler
is careful to do all the operations at the correct precision then you
can get determinstic results.  This is why GHC has the
-fexcess-precision flag: you have to explicitly ask to break
referential
transparency.

The bug is that the x86 native code generator behaves as if
-fexcess-precision is always on.  I seriously doubt that we'll ever fix
this bug: you can get correct behaviour by enabling -msse2, or
using a
64-bit machine.  I don't off-hand know what the LLVM backend does here,
but I would guess that it has the same bug.

Cheers,
 Simon

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Re: How to describe this bug?

2012-07-11 Thread Tyson Whitehead
On July 11, 2012 04:51:50 Christian Maeder wrote:
 Is it not enough to store floats into memory just before equality tests
 (or add rounding in the instance definitions of Float and Double in Eq
 and Ord)?

You have to be 100% consistent in how you do every operations in all cases 
otherwise different levels of rounding errors will creep into the results.

It isn't too hard to imagine a floating point expression getting inlined 
somewhere, and the compiler generating code to evalulate it all in registers.  
Intermediate operations will then be done to 80 bit precision.

Elsewhere, it doesn't get inlined and the compiler generates code to store 
intermediate results in memory.  Intermediate operations will then be done to 
32 bit precision.  Different results will occur on the rounding boundaires.

Always storing and reloading after every operations will give you consistent 
results.  I guess the other option is to disable inlining etc. or somehow 
ensure they are applied consistently in all use cases of an expression.

Cheers!  -Tyson

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Re: How to describe this bug?

2012-07-11 Thread Aleksey Khudyakov

On 11.07.2012 20:05, Tyson Whitehead wrote:

On July 11, 2012 04:51:50 Christian Maeder wrote:

Is it not enough to store floats into memory just before equality tests
(or add rounding in the instance definitions of Float and Double in Eq
and Ord)?


You have to be 100% consistent in how you do every operations in all cases
otherwise different levels of rounding errors will creep into the results.

It isn't too hard to imagine a floating point expression getting inlined
somewhere, and the compiler generating code to evalulate it all in registers.
Intermediate operations will then be done to 80 bit precision.

Elsewhere, it doesn't get inlined and the compiler generates code to store
intermediate results in memory.  Intermediate operations will then be done to
32 bit precision.  Different results will occur on the rounding boundaires.

Always storing and reloading after every operations will give you consistent
results.  I guess the other option is to disable inlining etc. or somehow
ensure they are applied consistently in all use cases of an expression.

There are more possibilities. With optimizations turned on compiler may 
be able to squeeze everything into registers and do store/load 
operations otherwise. However I don't consider it a problem. If your 
result depends on rounding you are in deep trouble and it's quite likely 
result is garbage.


Equality is a bit more complicated. It's rarely meaningful and if you do 
need exact equality you'd better to ensure that number is stored because 
exact behaviour depends on hardware, compiler and compiler flags.


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Re: How to describe this bug?

2012-07-10 Thread Christopher Done
Depends what the real offending code is. For example, if it contains
unsafePerformIO then it's not a bug.

On 10 July 2012 12:42, Sönke Hahn sh...@cs.tu-berlin.de wrote:
 Hi!

 I've discovered a strange bug that violates simple equational reasoning.
 Basically, something similar to this:

 let a = f x
 in a == f x

 evaluates to False.

 I'd like to report this on ghc-trac, but I realised, that I don't know a
 good name for behaviour like this. Is there one? Broken referential
 transparency, perhaps?

 Thanks,
 Sönke


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Re: How to describe this bug?

2012-07-10 Thread malcolm.wallace
Also, it is more likely to be a buggy instance of Eq, than a real loss of referential transparency.Regards,
MalcolmOn Jul 10, 2012, at 11:49 AM, Christopher Done chrisd...@gmail.com wrote:Depends what the real offending code is. For example, if it contains unsafePerformIO then it's not a bug.  On 10 July 2012 12:42, Sönke Hahn sh...@cs.tu-berlin.de wrote:  Hi!   I've discovered a strange bug that violates simple equational reasoning.  Basically, something similar to this:   let a = f x  in a == f x   evaluates to False.   I'd like to report this on ghc-trac, but I realised, that I don't know a  good name for behaviour like this. Is there one? "Broken referential  transparency", perhaps?   Thanks,  Sönke___  Glasgow-haskell-users mailing list  Glasgow-haskell-users@haskell.org  http://www.haskell.org/mailman/listinfo/glasgow-haskell-users  ___ Glasgow-haskell-users mailing list Glasgow-haskell-users@haskell.org http://www.haskell.org/mailman/listinfo/glasgow-haskell-users___
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Re: How to describe this bug?

2012-07-10 Thread Sönke Hahn
I've attached the code. The code does not make direct use of
unsafePerformIO. It uses QuickCheck, but I don't think, this is a
QuickCheck bug. The used Eq-instance is the one for Float.

I've only managed to reproduce this bug on 32-bit-linux with ghc-7.4.2
when compiling with -O2.

(The code might seem a bit odd, but this is the most boiled down version
I could come up with. Even removing the module Main where line changes
the behaviour.)

Cheers,
Sönke


On 07/10/2012 12:51 PM, malcolm.wallace wrote:
 Also, it is more likely to be a buggy instance of Eq, than a real loss
 of referential transparency.
 
 Regards,
 Malcolm
 
 
 On Jul 10, 2012, at 11:49 AM, Christopher Done chrisd...@gmail.com wrote:
 
 Depends what the real offending code is. For example, if it contains
 unsafePerformIO then it's not a bug.

 On 10 July 2012 12:42, Sönke Hahn sh...@cs.tu-berlin.de
 mailto:sh...@cs.tu-berlin.de wrote:
  Hi!
 
  I've discovered a strange bug that violates simple equational reasoning.
  Basically, something similar to this:
 
  let a = f x
  in a == f x
 
  evaluates to False.
 
  I'd like to report this on ghc-trac, but I realised, that I don't know a
  good name for behaviour like this. Is there one? Broken referential
  transparency, perhaps?
 
  Thanks,
  Sönke
 
 
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module Main where


import Test.QuickCheck


main :: IO ()
main = quickCheck $ prop 6.0 0.109998815

prop :: Float - Float - Property
prop m x =
let a = x * m
in printTestCase (show a ++  foo)
   (x * m == a)

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Re: How to describe this bug?

2012-07-10 Thread Aleksey Khudyakov
On Tue, Jul 10, 2012 at 3:06 PM, Sönke Hahn sh...@cs.tu-berlin.de wrote:
 I've attached the code. The code does not make direct use of
 unsafePerformIO. It uses QuickCheck, but I don't think, this is a
 QuickCheck bug. The used Eq-instance is the one for Float.

 I've only managed to reproduce this bug on 32-bit-linux with ghc-7.4.2
 when compiling with -O2.

It's expected behaviour with floats. Calculations in FPU are done in
maximul precision available.  If one evaluation result is kept in registers
and another has been moved to memory and rounded and move back to registers
number will be not the same indeed.

In short. Never compare floating point number for equality unless you
really know
what are you doing.

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Re: How to describe this bug?

2012-07-10 Thread Simon Marlow

On 10/07/2012 12:21, Aleksey Khudyakov wrote:

On Tue, Jul 10, 2012 at 3:06 PM, Sönke Hahn sh...@cs.tu-berlin.de wrote:

I've attached the code. The code does not make direct use of
unsafePerformIO. It uses QuickCheck, but I don't think, this is a
QuickCheck bug. The used Eq-instance is the one for Float.

I've only managed to reproduce this bug on 32-bit-linux with ghc-7.4.2
when compiling with -O2.


It's expected behaviour with floats. Calculations in FPU are done in
maximul precision available.  If one evaluation result is kept in registers
and another has been moved to memory and rounded and move back to registers
number will be not the same indeed.

In short. Never compare floating point number for equality unless you
really know
what are you doing.


I consider it a bug, because as the original poster pointed out it is a 
violation of referential transparency.  What's more, it is *not* an 
inherent property of floating point arithmetic, because if the compiler 
is careful to do all the operations at the correct precision then you 
can get determinstic results.  This is why GHC has the 
-fexcess-precision flag: you have to explicitly ask to break referential 
transparency.


The bug is that the x86 native code generator behaves as if 
-fexcess-precision is always on.  I seriously doubt that we'll ever fix 
this bug: you can get correct behaviour by enabling -msse2, or using a 
64-bit machine.  I don't off-hand know what the LLVM backend does here, 
but I would guess that it has the same bug.


Cheers,
Simon

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Re: How to describe this bug?

2012-07-10 Thread Christian Maeder

Am 10.07.2012 13:06, schrieb Sönke Hahn:

I've attached the code. The code does not make direct use of
unsafePerformIO. It uses QuickCheck, but I don't think, this is a
QuickCheck bug. The used Eq-instance is the one for Float.


The Eq-instance for floats is broken wrt NaN

Prelude (0/0 :: Float) == 0/0
False

I do not know if you create NaN in your tests, though.

C.



I've only managed to reproduce this bug on 32-bit-linux with ghc-7.4.2
when compiling with -O2.

(The code might seem a bit odd, but this is the most boiled down version
I could come up with. Even removing the module Main where line changes
the behaviour.)

Cheers,
Sönke


On 07/10/2012 12:51 PM, malcolm.wallace wrote:

Also, it is more likely to be a buggy instance of Eq, than a real loss
of referential transparency.

Regards,
 Malcolm


On Jul 10, 2012, at 11:49 AM, Christopher Done chrisd...@gmail.com wrote:


Depends what the real offending code is. For example, if it contains
unsafePerformIO then it's not a bug.

On 10 July 2012 12:42, Sönke Hahn sh...@cs.tu-berlin.de
mailto:sh...@cs.tu-berlin.de wrote:

Hi!

I've discovered a strange bug that violates simple equational reasoning.
Basically, something similar to this:

let a = f x
in a == f x

evaluates to False.

I'd like to report this on ghc-trac, but I realised, that I don't know a
good name for behaviour like this. Is there one? Broken referential
transparency, perhaps?

Thanks,
Sönke


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Re: How to describe this bug?

2012-07-10 Thread Christian Maeder

It also works (exposes the bug on x86) without Quickcheck and Doubles:

main = prop 6.0 0.109998815
prop m x = do
let a = x * m
putStrLn (show a ++  foo)
print (x * m == a)


0.65999289 foo
False

The middle line seems to prevent CSE.

C.

Am 10.07.2012 13:06, schrieb Sönke Hahn:

I've attached the code. The code does not make direct use of
unsafePerformIO. It uses QuickCheck, but I don't think, this is a
QuickCheck bug. The used Eq-instance is the one for Float.

I've only managed to reproduce this bug on 32-bit-linux with ghc-7.4.2
when compiling with -O2.

(The code might seem a bit odd, but this is the most boiled down version
I could come up with. Even removing the module Main where line changes
the behaviour.)

Cheers,
Sönke


On 07/10/2012 12:51 PM, malcolm.wallace wrote:

Also, it is more likely to be a buggy instance of Eq, than a real loss
of referential transparency.

Regards,
 Malcolm


On Jul 10, 2012, at 11:49 AM, Christopher Done chrisd...@gmail.com wrote:


Depends what the real offending code is. For example, if it contains
unsafePerformIO then it's not a bug.

On 10 July 2012 12:42, Sönke Hahn sh...@cs.tu-berlin.de
mailto:sh...@cs.tu-berlin.de wrote:

Hi!

I've discovered a strange bug that violates simple equational reasoning.
Basically, something similar to this:

let a = f x
in a == f x

evaluates to False.

I'd like to report this on ghc-trac, but I realised, that I don't know a
good name for behaviour like this. Is there one? Broken referential
transparency, perhaps?

Thanks,
Sönke


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Re: How to describe this bug?

2012-07-10 Thread Tyson Whitehead
On July 10, 2012 09:28:27 Christian Maeder wrote:
 Am 10.07.2012 13:06, schrieb Sönke Hahn:
  I've attached the code. The code does not make direct use of
  unsafePerformIO. It uses QuickCheck, but I don't think, this is a
  QuickCheck bug. The used Eq-instance is the one for Float.
 
 The Eq-instance for floats is broken wrt NaN
 
 Prelude (0/0 :: Float) == 0/0
 False
 
 I do not know if you create NaN in your tests, though.

Would that really be broken though?  NaN can arrise from many contexts (e.g., 
sqrt(-1)), so it would also not make much sense to return True.

The IEEE standard actually defines a mutually exclusive fourth unordered 
state wrt to NaNs for comparisons (in addition to lesser, greater, and equal).

I would like to suggest native floating point might be better modelled as 
Maybe Float, with NaN being the builtin Nothing, but leaves out Inf.

Cheers!  -Tyson

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Re: How to describe this bug?

2012-07-10 Thread roconnor

On Tue, 10 Jul 2012, Sönke Hahn wrote:


Hi!

I've discovered a strange bug that violates simple equational reasoning.
Basically, something similar to this:

let a = f x
in a == f x


While this code as it stands doesn't quite illustrate the referential 
transparency error, since == isn't guarenteed to return True on the same 
floating point value (see NaN), with a small tweek we can turn into an 
example that does illustrate the lack of referential transparency:


(let a = f x in a == f x) == (let a = f x in a == a)

or also perhaps

(let a = f x in a == f x) == (f x == f x)

If either of these return False than it is an error of referential 
transparency since equality on equivalent Bool expressions is always 
supposed to return True or diverge.


--
Russell O'Connor  http://r6.ca/
``All talk about `theft,''' the general counsel of the American Graphophone
Company wrote, ``is the merest claptrap, for there exists no property in
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Re: How to describe this bug?

2012-07-10 Thread Tyson Whitehead
On July 10, 2012 10:39:41 Colin Adams wrote:
 Sure they would be better modelled that way, but the whole point of using
 floating point arithmetic is to sacrifice accuracy for performance, is it
 not?

True.  I just find it interesting that some types have a builtin Nothing value.

Some further examples are pointer (where NULL is Nothing) and 
clamped/saturation arithmetic (where min and max values are Nothing).

It would be nice if somehow they could be unified at the top level without the 
performance penalty associated with a genuine Maybe value.

Another possibility might be to consider NaN to encode bottom in Float#.  When 
you constructed Float from Float# with a NaN it would give bottom.

Would the existance of unboxed lifted types be a problem?

Cheers!  -Tyson

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