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is None or == None ?

 

 

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tjreedy at udel

Nov 7, 2009, 12:31 PM

Post #26 of 48 (854 views)
Permalink
Re: is None or == None ? [In reply to]

Steven D'Aprano wrote:
> On Fri, 06 Nov 2009 16:51:18 +0100, Marco Mariani wrote:
>
>> Using "x is y" with integers
>> makes no sense and has no guaranteed behaviour AFAIK
>
> Of course it makes sense. `x is y` means *exactly the same thing* for
> ints as it does with any other object: it tests for object identity.
> That's all it does, and it does it perfectly.
>
> Python makes no promise whether x = 3; y = 3 will use the same object for
> both x and y or not. That's an implementation detail. That's not a
> problem with `is`, it is a problem with developers who make unjustified
> assumptions.

Which is to say, it normally makes no sense to write 'm is n' for m, n ints.

The *exception* is when one is exploring implementation details, either
to discover them or to test that they are as intended. So, last I
looked, the test suite for ints makes such tests. If the implementation
changes, the test should change also.

The problem comes when newbies use 'is' without realizing that they are
doing black-box exploration of otherwise irrelevant internals.
(White-box exploration would be reading the code, which makes it plain
what is going on ;-).

Terry Jan Reedy


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sturlamolden at yahoo

Nov 7, 2009, 2:22 PM

Post #27 of 48 (854 views)
Permalink
Re: is None or == None ? [In reply to]

On 6 Nov, 14:35, "Alf P. Steinbach" <al...@start.no> wrote:

> As I understand it, 'is' will always work and will always be efficient (it just
> checks the variable's type), while '==' can depend on the implementation of
> equality checking for the other operand's class.

'==' checks for logical equality. 'is' checks for object identity.

None is a singleton of type NoneType. Since None evaluates to True
only when compared against itself, it is safe to use both operators.









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sturlamolden at yahoo

Nov 7, 2009, 2:27 PM

Post #28 of 48 (854 views)
Permalink
Re: is None or == None ? [In reply to]

On 6 Nov, 18:28, "Alf P. Steinbach" <al...@start.no> wrote:

> Dynamic allocation isn't hare-brained, but doing it for every stored integer
> value outside a very small range is, because dynamic allocation is (relatively
> speaking, in the context of integer operations) very costly even with a
> (relatively speaking, in the context of general dynamic allocation) very
> efficient small-objects allocator - here talking order(s) of magnitude.

When it matters, we use NumPy and/or Cython.

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sturlamolden at yahoo

Nov 7, 2009, 2:54 PM

Post #29 of 48 (854 views)
Permalink
Re: is None or == None ? [In reply to]

On 6 Nov, 17:54, "Alf P. Steinbach" <al...@start.no> wrote:

> But wow. That's pretty hare-brained: dynamic allocation for every stored value
> outside the cache range, needless extra indirection for every operation.

First, integers are not used the same way in Python as they are in C+
+. E.g. you typically don't iterate over them in a for loop, but
rather iterate on the container itself. Second, if you need an array
of integers or floats, that is usually not done with a list: you would
use numpy.ndarray or array.array, and values are stored compactly.

A Python list is a list, it is not an array. If you were to put
integers in dynamic data structures in other languages (Java, C++),
you would use dynamic allocation as well. Yes a list is implemented as
an array of pointers, amortized to O(1) for appends, but that is an
implementation detail.

Python is not the only language that works like this. There are also
MATLAB and Lisp. I know you have a strong background in C++, but when
you are using Python you must unlearn that way of thinking.

Finally: if none of these helps, we can always resort to Cython.

In 99% of cases where integers are bottlenecks in Python, it is
indicative of bad style. We very often see this from people coming
form C++ and Java background, and subsequent claims that "Python is
slow". Python is not an untyped Java. If you use it as such, it will
hurt. Languages like Python, Perl, Common Lisp, and MATLAB require a
different mindset from the programmer.

















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steve at REMOVE-THIS-cybersource

Nov 7, 2009, 3:09 PM

Post #30 of 48 (854 views)
Permalink
Re: is None or == None ? [In reply to]

On Sat, 07 Nov 2009 14:22:28 -0800, sturlamolden wrote:

> On 6 Nov, 14:35, "Alf P. Steinbach" <al...@start.no> wrote:
>
>> As I understand it, 'is' will always work and will always be efficient
>> (it just checks the variable's type), while '==' can depend on the
>> implementation of equality checking for the other operand's class.
>
> '==' checks for logical equality. 'is' checks for object identity.

So far so good, although technically == merely calls __eq__, which can be
over-ridden to do (nearly) anything you like:

>>> class Funny(object):
... def __eq__(self, other):
... return self.payload + other
...
>>> f = Funny()
>>> f.payload = 5
>>> f == 10
15


> None is a singleton of type NoneType. Since None evaluates to True only
> when compared against itself,

That's wrong. None never evaluates to True, it always evaluates as None,
in the same way that 42 evaluates as 42 and [1,2,3] evaluates as [1,2,3].
Python literals evaluate as themselves, always.

Perhaps you mean that *comparisons* of None evaluate to True only if both
operands are None. That's incorrect too:

>>> None > None
False

You have to specify the comparison. It would be a pretty strange language
if both None==None and None!=None returned True.



> it is safe to use both operators.

Only if you want unexpected results if somebody passes the wrong sort of
object to your code.


>>> class NoneProxy:
... def __eq__(self, other):
... if other is None: return True
... return False
...
>>> o = NoneProxy()
>>> o is None
False
>>> o == None
True

You should use == *only* if you want to test for objects which are equal
to None, *whatever that object may be*, and is if you want to test for
None itself.



--
Steven
--
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hniksic at xemacs

Nov 7, 2009, 5:25 PM

Post #31 of 48 (854 views)
Permalink
Re: is None or == None ? [In reply to]

"Alf P. Steinbach" <alfps [at] start> writes:

> Speedup would likely be more realistic with normal implementation (not
> fiddling with bit-fields and stuff)

I'm not sure I understand this. How would you implement tagged integers
without encoding type information in bits of the pointer value?
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alfps at start

Nov 7, 2009, 10:27 PM

Post #32 of 48 (852 views)
Permalink
Re: is None or == None ? [In reply to]

* Hrvoje Niksic:
> "Alf P. Steinbach" <alfps [at] start> writes:
>
>> Speedup would likely be more realistic with normal implementation (not
>> fiddling with bit-fields and stuff)
>
> I'm not sure I understand this. How would you implement tagged integers
> without encoding type information in bits of the pointer value?

A normal tag field, as illustrated in code earlier in the thread.


Cheers & hth.,

- Alf
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hniksic at xemacs

Nov 8, 2009, 2:00 AM

Post #33 of 48 (848 views)
Permalink
Re: is None or == None ? [In reply to]

"Alf P. Steinbach" <alfps [at] start> writes:

> * Hrvoje Niksic:
>> "Alf P. Steinbach" <alfps [at] start> writes:
>>
>>> Speedup would likely be more realistic with normal implementation (not
>>> fiddling with bit-fields and stuff)
>>
>> I'm not sure I understand this. How would you implement tagged integers
>> without encoding type information in bits of the pointer value?
>
> A normal tag field, as illustrated in code earlier in the thread.

Ah, I see it now. That proposal effectively doubles the size of what is
now a PyObject *, meaning that lists, dicts, etc., would also double
their memory requirements, so it doesn't come without downsides. On the
other hand, tagged pointers have been used in various Lisp
implementations for decades, nothing really "baroque" (or inherently
slow) about them.
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alfps at start

Nov 8, 2009, 2:34 AM

Post #34 of 48 (849 views)
Permalink
Re: is None or == None ? [In reply to]

* Hrvoje Niksic:
> "Alf P. Steinbach" <alfps [at] start> writes:
>
>> * Hrvoje Niksic:
>>> "Alf P. Steinbach" <alfps [at] start> writes:
>>>
>>>> Speedup would likely be more realistic with normal implementation (not
>>>> fiddling with bit-fields and stuff)
>>> I'm not sure I understand this. How would you implement tagged integers
>>> without encoding type information in bits of the pointer value?
>> A normal tag field, as illustrated in code earlier in the thread.
>
> Ah, I see it now. That proposal effectively doubles the size of what is
> now a PyObject *, meaning that lists, dicts, etc., would also double
> their memory requirements, so it doesn't come without downsides.

Whether it increases memory usage depends on the data mix in the program's
execution.

For a program primarily handling objects of atomic types (like int) it saves
memory, since each value (generally) avoids a dynamically allocated object.

Bit-field fiddling may save a little more memory, and is nearly guaranteed to
save memory.

But memory usage isn't an issue except to the degree it affects the OS's virtual
memory manager.

Slowness is an issue -- except that keeping compatibility is IMO a more
important issue (don't fix, at cost, what works).


> On the
> other hand, tagged pointers have been used in various Lisp
> implementations for decades, nothing really "baroque" (or inherently
> slow) about them.

Unpacking of bit fields generally adds overhead. The bit fields need to be
unpacked for (e.g.) integer operations.

Lisp once ran on severely memory constrained machines.


Cheers & hth.,

- Alf
--
http://mail.python.org/mailman/listinfo/python-list


tjreedy at udel

Nov 8, 2009, 11:45 AM

Post #35 of 48 (838 views)
Permalink
Re: is None or == None ? [In reply to]

Alf P. Steinbach wrote:
> * Hrvoje Niksic:
>> "Alf P. Steinbach" <alfps [at] start> writes:
>>
>>> * Hrvoje Niksic:
>>>> "Alf P. Steinbach" <alfps [at] start> writes:
>>>>
>>>>> Speedup would likely be more realistic with normal implementation (not
>>>>> fiddling with bit-fields and stuff)
>>>> I'm not sure I understand this. How would you implement tagged
>>>> integers
>>>> without encoding type information in bits of the pointer value?
>>> A normal tag field, as illustrated in code earlier in the thread.
>>
>> Ah, I see it now. That proposal effectively doubles the size of what is
>> now a PyObject *, meaning that lists, dicts, etc., would also double
>> their memory requirements, so it doesn't come without downsides.
>
> Whether it increases memory usage depends on the data mix in the
> program's execution.
>
> For a program primarily handling objects of atomic types (like int) it
> saves memory, since each value (generally) avoids a dynamically
> allocated object.
>
> Bit-field fiddling may save a little more memory, and is nearly
> guaranteed to save memory.
>
> But memory usage isn't an issue except to the degree it affects the OS's
> virtual memory manager.
>
> Slowness is an issue -- except that keeping compatibility is IMO a
> more important issue (don't fix, at cost, what works).

I believe the use of tagged pointers has been considered and so far
rejected by the CPython developers. And no one else that I know of has
developed a fork for that. It would seem more feasible with 64 bit
pointers where there seem to be spare bits. But CPython will have to
support 32 bit machines for several years.

Terry Jan Reedy

--
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rhodri at wildebst

Nov 9, 2009, 5:02 PM

Post #36 of 48 (818 views)
Permalink
Re: is None or == None ? [In reply to]

On Sun, 08 Nov 2009 19:45:31 -0000, Terry Reedy <tjreedy [at] udel> wrote:

> I believe the use of tagged pointers has been considered and so far
> rejected by the CPython developers. And no one else that I know of has
> developed a fork for that. It would seem more feasible with 64 bit
> pointers where there seem to be spare bits. But CPython will have to
> support 32 bit machines for several years.

I've seen that mistake made twice (IBM 370 architecture (probably 360 too,
I'm too young to have used it) and ARM2/ARM3). I'd rather not see it a
third time, thank you.

--
Rhodri James *-* Wildebeest Herder to the Masses
--
http://mail.python.org/mailman/listinfo/python-list


invalid at invalid

Nov 10, 2009, 7:46 AM

Post #37 of 48 (809 views)
Permalink
Re: is None or == None ? [In reply to]

On 2009-11-10, Rhodri James <rhodri [at] wildebst> wrote:
> On Sun, 08 Nov 2009 19:45:31 -0000, Terry Reedy <tjreedy [at] udel> wrote:
>
>> I believe the use of tagged pointers has been considered and so far
>> rejected by the CPython developers. And no one else that I know of has
>> developed a fork for that. It would seem more feasible with 64 bit
>> pointers where there seem to be spare bits. But CPython will have to
>> support 32 bit machines for several years.
>
> I've seen that mistake made twice (IBM 370 architecture (probably 360 too,
> I'm too young to have used it) and ARM2/ARM3). I'd rather not see it a
> third time, thank you.

MacOS applications made the same mistake on the 68K. They
reserved the high-end bits in a 32-bit pointer and used them to
contain meta-information. After all, those bits were "extra" --
nobody could ever hope to actually address more than 4MB of
memory, right? Heck, those address lines weren't even brought
out of the CPU package.

Guess what happened?

It wasn't the decades-long global debacle that was the MS-DOS
memory model, but it did cause problems when CPUs came out that
implemented those address lines and RAM became cheap enough
that people needed to use them.

--
Grant Edwards grante Yow! Either CONFESS now or
at we go to "PEOPLE'S COURT"!!
visi.com
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marco at sferacarta

Nov 10, 2009, 7:56 AM

Post #38 of 48 (809 views)
Permalink
Re: is None or == None ? [In reply to]

Grant Edwards wrote:

> MacOS applications made the same mistake on the 68K.

And and awful lot of the Amiga software, with the same 24/32 bit CPU.

I did it too, every pointer came with 8 free bits so why not use them?


> It wasn't the decades-long global debacle that was the MS-DOS
> memory model, but it did cause problems when CPUs came out that
> implemented those address lines and RAM became cheap enough
> that people needed to use them.

I suppose that's the reason many games didn't work on the 68020+

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ckaynor at zindagigames

Nov 10, 2009, 8:32 AM

Post #39 of 48 (808 views)
Permalink
Re: is None or == None ? [In reply to]

On Tue, Nov 10, 2009 at 7:56 AM, Marco Mariani <marco [at] sferacarta> wrote:

> Grant Edwards wrote:
>
> MacOS applications made the same mistake on the 68K.
>>
>
> And and awful lot of the Amiga software, with the same 24/32 bit CPU.
>
> I did it too, every pointer came with 8 free bits so why not use them?
>
>
>
> It wasn't the decades-long global debacle that was the MS-DOS
>> memory model, but it did cause problems when CPUs came out that
>> implemented those address lines and RAM became cheap enough
>> that people needed to use them.
>>
>
> I suppose that's the reason many games didn't work on the 68020+
>
>
> --
> http://mail.python.org/mailman/listinfo/python-list
>

As a note, the official specification (Ihttp://
www.amd.com/us-en/assets/content_type/white_papers_and_tech_docs/24593.pdf),
the 64-bit pointers are required to be in canonical form for the exact
reason of helping prevent these mistakes from being repeated.

Chris


invalid at invalid

Nov 10, 2009, 8:46 AM

Post #40 of 48 (810 views)
Permalink
Re: is None or == None ? [In reply to]

On 2009-11-10, Marco Mariani <marco [at] sferacarta> wrote:
> Grant Edwards wrote:
>
>> MacOS applications made the same mistake on the 68K.


> And and awful lot of the Amiga software, with the same 24/32
> bit CPU.
>
> I did it too, every pointer came with 8 free bits so why not
> use them?

TANSTAFB ;)

I should probably add that MacOS itself used the same trick
until system 7.

>> It wasn't the decades-long global debacle that was the MS-DOS
>> memory model, but it did cause problems when CPUs came out that
>> implemented those address lines and RAM became cheap enough
>> that people needed to use them.
>
> I suppose that's the reason many games didn't work on the 68020+

Probably. IIRC, it took a while for some vendors to come out
with "32-bit clean" versions of products.

http://en.wikipedia.org/wiki/Mac_OS_memory_management#32-bit_clean

--
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at SPECIAL EFFECTS!!
visi.com
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steve at REMOVE-THIS-cybersource

Nov 10, 2009, 10:55 AM

Post #41 of 48 (808 views)
Permalink
Re: is None or == None ? [In reply to]

On Tue, 10 Nov 2009 15:46:10 +0000, Grant Edwards wrote:

> On 2009-11-10, Rhodri James <rhodri [at] wildebst> wrote:
>> On Sun, 08 Nov 2009 19:45:31 -0000, Terry Reedy <tjreedy [at] udel>
>> wrote:
>>
>>> I believe the use of tagged pointers has been considered and so far
>>> rejected by the CPython developers. And no one else that I know of has
>>> developed a fork for that. It would seem more feasible with 64 bit
>>> pointers where there seem to be spare bits. But CPython will have to
>>> support 32 bit machines for several years.
>>
>> I've seen that mistake made twice (IBM 370 architecture (probably 360
>> too, I'm too young to have used it) and ARM2/ARM3). I'd rather not see
>> it a third time, thank you.
>
> MacOS applications made the same mistake on the 68K. They reserved the
> high-end bits in a 32-bit pointer and used them to contain
> meta-information.


Obviously that was their mistake. They should have used the low-end bits
for the metadata, instead of the more valuable high-end.


High-end-is-always-better-right?-ly y'rs,


--
Steven
--
http://mail.python.org/mailman/listinfo/python-list


rhodri at wildebst

Nov 10, 2009, 3:18 PM

Post #42 of 48 (801 views)
Permalink
Re: is None or == None ? [In reply to]

On Tue, 10 Nov 2009 18:55:25 -0000, Steven D'Aprano
<steve [at] remove-this-cybersource> wrote:

> On Tue, 10 Nov 2009 15:46:10 +0000, Grant Edwards wrote:
>
>> On 2009-11-10, Rhodri James <rhodri [at] wildebst> wrote:
>>> On Sun, 08 Nov 2009 19:45:31 -0000, Terry Reedy <tjreedy [at] udel>
>>> wrote:
>>>
>>>> I believe the use of tagged pointers has been considered and so far
>>>> rejected by the CPython developers. And no one else that I know of has
>>>> developed a fork for that. It would seem more feasible with 64 bit
>>>> pointers where there seem to be spare bits. But CPython will have to
>>>> support 32 bit machines for several years.
>>>
>>> I've seen that mistake made twice (IBM 370 architecture (probably 360
>>> too, I'm too young to have used it) and ARM2/ARM3). I'd rather not see
>>> it a third time, thank you.
>>
>> MacOS applications made the same mistake on the 68K. They reserved the
>> high-end bits in a 32-bit pointer and used them to contain
>> meta-information.
>
>
> Obviously that was their mistake. They should have used the low-end bits
> for the metadata, instead of the more valuable high-end.

Oh, ARM used the low bits too. After all, instructions were 4-byte
aligned, so the PC had all those bits going spare...

--
Rhodri James *-* Wildebeest Herder to the Masses
--
http://mail.python.org/mailman/listinfo/python-list


vmanis at telus

Nov 10, 2009, 4:05 PM

Post #43 of 48 (800 views)
Permalink
Re: is None or == None ? [In reply to]

On 2009-11-10, at 07:46, Grant Edwards wrote:
> MacOS applications made the same mistake on the 68K. They
> reserved the high-end bits
At the time the 32-bit Macs were about to come on the market, I saw an internal confidential document that estimated that at least over 80% of the applications that the investigators had looked at (including many from that company named after a fruit, whose head office is on Infinite Loop) were not 32-bit clean. This in spite of the original edition of Inside Mac (the one that looked like a telephone book) that specifically said always to write 32-bit clean apps, as 32-bit machines were expected in the near future.

It's not quite as bad as the program I once looked at that was released in 1999 and was not Y2K compliant, but it's pretty close.

--v
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steven at REMOVE

Nov 10, 2009, 7:07 PM

Post #44 of 48 (797 views)
Permalink
Re: is None or == None ? [In reply to]

On Tue, 10 Nov 2009 16:05:01 -0800, Vincent Manis wrote:

> At the time the 32-bit Macs were about to come on the market, I saw an
> internal confidential document that estimated that at least over 80% of
> the applications that the investigators had looked at (including many
> from that company named after a fruit, whose head office is on Infinite
> Loop) were not 32-bit clean. This in spite of the original edition of
> Inside Mac (the one that looked like a telephone book) that specifically
> said always to write 32-bit clean apps, as 32-bit machines were expected
> in the near future.

That is incorrect. The original Inside Mac Volume 1 (published in 1985)
didn't look anything like a phone book. The original Macintosh's CPU (the
Motorola 68000) already used 32-bit addressing, but the high eight pins
were ignored since the CPU physically lacked the pins corresponding to
those bits.

In fact, in Inside Mac Vol II, Apple explicitly gives the format of
pointers: the low-order three bytes are the address, the high-order byte
is used for flags: bit 7 was the lock bit, bit 6 the purge bit and bit 5
the resource bit. The other five bits were unused.

By all means criticize Apple for failing to foresee 32-bit apps, but
criticizing them for hypocrisy (in this matter) is unfair. By the time
they recognized the need for 32-bit clean applications, they were stuck
with a lot of legacy code that were not clean. Including code burned into
ROMs.




--
Steven
--
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invalid at invalid

Nov 10, 2009, 7:39 PM

Post #45 of 48 (797 views)
Permalink
Re: is None or == None ? [In reply to]

On 2009-11-11, Steven D'Aprano <steven [at] REMOVE> wrote:

> By all means criticize Apple for failing to foresee 32-bit
> apps, but criticizing them for hypocrisy (in this matter) is
> unfair. By the time they recognized the need for 32-bit clean
> applications, they were stuck with a lot of legacy code that
> were not clean. Including code burned into ROMs.

They did manage to climb out of the hole they had dug and fix
things up -- something Microsoft has yet to do after 25 years.

Maybe it's finally going to be different this time around with
Windows 7...

--
Grant

--
http://mail.python.org/mailman/listinfo/python-list


vmanis at telus

Nov 10, 2009, 10:07 PM

Post #46 of 48 (790 views)
Permalink
Re: is None or == None ? [In reply to]

On 2009-11-10, at 19:07, Steven D'Aprano wrote:

> On Tue, 10 Nov 2009 16:05:01 -0800, Vincent Manis wrote:
> That is incorrect. The original Inside Mac Volume 1 (published in 1985)
> didn't look anything like a phone book. The original Macintosh's CPU (the
> Motorola 68000) already used 32-bit addressing, but the high eight pins
> were ignored since the CPU physically lacked the pins corresponding to
> those bits.
>
> In fact, in Inside Mac Vol II, Apple explicitly gives the format of
> pointers: the low-order three bytes are the address, the high-order byte
> is used for flags: bit 7 was the lock bit, bit 6 the purge bit and bit 5
> the resource bit. The other five bits were unused.
You are correct. On thinking about it further, my source was some kind of internal developer seminar I attended round about 1985 or so, where an Apple person said `don't use the high order bits, we might someday produce machines that use all 32 address bits', and then winked at us.

You are also correct (of course) about the original `Inside Mac', my copy was indeed 2 volumes in looseleaf binders; the phonebook came later.

> By all means criticize Apple for failing to foresee 32-bit apps, but
> criticizing them for hypocrisy (in this matter) is unfair. By the time
> they recognized the need for 32-bit clean applications, they were stuck
> with a lot of legacy code that were not clean. Including code burned into
> ROMs.
That's my point. I first heard about Moore's Law in 1974 from a talk given by Alan Kay. At about the same time, Gordon Bell had concluded, independently, that one needs extra address bit every 18 months (he was looking at core memory, so the cost factors were somewhat different). All of this should have suggested that relying on any `reserved' bits is always a bad idea.

I am most definitely not faulting Apple for hypocrisy, just saying that programmers sometimes assume that just because something works on one machine, it will work forevermore. And that's unwise.

-- v
--
http://mail.python.org/mailman/listinfo/python-list


vmanis at telus

Nov 10, 2009, 10:14 PM

Post #47 of 48 (790 views)
Permalink
Re: is None or == None ? [In reply to]

On 2009-11-10, at 22:07, Vincent Manis wrote:

> On 2009-11-10, at 19:07, Steven D'Aprano wrote:
>> In fact, in Inside Mac Vol II, Apple explicitly gives the format of
>> pointers: the low-order three bytes are the address, the high-order byte
>> is used for flags: bit 7 was the lock bit, bit 6 the purge bit and bit 5
>> the resource bit. The other five bits were unused.

I inadvertently must have deleted a paragraph in the response I just posted. Please add: The pointer format would have caused me to write macros or the like (that was still in the days when Apple liked Pascal) to hide the bit representation of pointers.

-- v
--
http://mail.python.org/mailman/listinfo/python-list


greg at cosc

Nov 11, 2009, 1:32 AM

Post #48 of 48 (772 views)
Permalink
Re: is None or == None ? [In reply to]

Vincent Manis wrote:

> That's my point. I first heard about Moore's Law in 1974 from a talk given
> by Alan Kay. At about the same time, Gordon Bell had concluded, independently,
> that one needs extra address bit every 18 months

Hmmm. At that rate, we'll use up the extra 32 bits in our
64 bit pointers in another 48 years. So 128-bit machines
ought to be making an appearance around about 2057, and
then we'll be all set until 2153 -- if we're still using
anything as quaintly old-fashioned as binary memory
addresses by then...

--
Greg
--
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