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  r64974 | mark.dickinson | 2008-07-15 20:08:33 +0100 (Tue, 15 Jul 2008) | 3 lines

  Issue #3008: add instance method float.hex and class method float.fromhex
  to convert floats to and from hexadecimal strings respectively.
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This commit is contained in:
Mark Dickinson 2008-07-16 11:30:51 +00:00
parent 0c474d01a1
commit 65fe25e597
5 changed files with 867 additions and 1 deletions

View file

@ -423,6 +423,71 @@ Notes:
.. _typeiter:
Additional Methods on Float
---------------------------
The float type has some additional methods to support conversion to
and from hexadecimal strings. Since Python's floats are stored
internally as binary numbers, converting a float to or from a
*decimal* string usually involves a small rounding error. In
contrast, hexadecimal strings allow exact representation and
specification of floating-point numbers. This can be useful when
debugging, and in numerical work.
.. method:: float.hex()
Return a representation of a floating-point number as a hexadecimal
string. For finite floating-point numbers, this representation
will always include a leading ``0x`` and a trailing ``p`` and
exponent.
.. method:: float.fromhex(s)
Class method to return the float represented by a hexadecimal
string *s*. The string *s* may have leading and trailing
whitespace.
Note that :meth:`float.hex` is an instance method, while
:meth:`float.fromhex` is a class method.
A hexadecimal string takes the form::
[sign] ['0x'] integer ['.' fraction] ['p' exponent]
where the optional ``sign`` may by either ``+`` or ``-``, ``integer``
and ``fraction`` are strings of hexadecimal digits, and ``exponent``
is a decimal integer with an optional leading sign. Case is not
significant, and there must be at least one hexadecimal digit in
either the integer or the fraction. This syntax is similar to the
syntax specified in section 6.4.4.2 of the C99 standard, and also to
the syntax used in Java 1.5 onwards. In particular, the output of
:meth:`float.hex` is usable as a hexadecimal floating-point literal in
C or Java code, and hexadecimal strings produced by C's ``%a`` format
character or Java's ``Double.toHexString`` are accepted by
:meth:`float.fromhex`.
Note that the exponent is written in decimal rather than hexadecimal,
and that it gives the power of 2 by which to multiply the coefficient.
For example, the hexadecimal string ``0x3.a7p10`` represents the
floating-point number ``(3 + 10./16 + 7./16**2) * 2.0**10``, or
``3740.0``::
>>> float.fromhex('0x3.a7p10')
3740.0
Applying the reverse conversion to ``3740.0`` gives a different
hexadecimal string representing the same number::
>>> float.hex(3740.0)
'0x1.d380000000000p+11'
Iterator Types
==============