python: unpack IBM 32-bit float point

问题

I was reading a binary file in python like this:

from struct import unpack

ns = 1000
f = open("binary_file", 'rb')

while True:
    data = f.read(ns * 4)
    if data == '':
        break
    unpacked = unpack(">%sf" % ns, data)
    print str(unpacked)

when I realized unpack(">f", str) is for unpacking IEEE floating point, my data is IBM 32-bit float point numbers

My question is: How can I impliment my unpack to unpack IBM 32-bit float point type numbers?

I don't mind using like ctypes to extend python to get better performance.

EDIT: I did some searching: http://mail.scipy.org/pipermail/scipy-user/2009-January/019392.html

This looks very promising, but I want to get more efficient: there are potential tens of thousands of loops.

EDIT: posted answer below. Thanks for the tip.

回答1:

I think I understood it: first unpack the string to unsigned 4 byte integer, and then use this function:

def ibm2ieee(ibm):
    """
    Converts an IBM floating point number into IEEE format.
    :param: ibm - 32 bit unsigned integer: unpack('>L', f.read(4))
    """
    if ibm == 0:
        return 0.0
    sign = ibm >> 31 & 0x01
    exponent = ibm >> 24 & 0x7f
    mantissa = (ibm & 0x00ffffff) / float(pow(2, 24))
    return (1 - 2 * sign) * mantissa * pow(16, exponent - 64)

Thanks for all who helped!

IBM Floating Point Architecture, how to encode and decode: http://en.wikipedia.org/wiki/IBM_Floating_Point_Architecture

My solution: I wrote a class, I think in this way, it can be a bit faster, because used Struct object, so that the unpack fmt is compiled only once. EDIT: also because it's unpacking size*bytes all at once, and unpacking can be an expensive operation.

from struct import Struct

class StructIBM32(object):
    """
    see example in:
    http://en.wikipedia.org/wiki/IBM_Floating_Point_Architecture#An_Example

    >>> import struct
    >>> c = StructIBM32(1)
    >>> bit = '11000010011101101010000000000000'
    >>> c.unpack(struct.pack('>L', int(bit, 2)))
    [-118.625]
    """
    def __init__(self, size):
        self.p24 = float(pow(2, 24))
        self.unpack32int = Struct(">%sL" % size).unpack
    def unpack(self, data):
        int32 = self.unpack32int(data)
        return [self.ibm2ieee(i) for i in int32]
    def ibm2ieee(self, int32):
        if int32 == 0:
            return 0.0
        sign = int32 >> 31 & 0x01
        exponent = int32 >> 24 & 0x7f
        mantissa = (int32 & 0x00ffffff) / self.p24
        return (1 - 2 * sign) * mantissa * pow(16, exponent - 64)

if __name__ == "__main__":
    import doctest
    doctest.testmod()

来源：https://stackoverflow.com/questions/7125890/python-unpack-ibm-32-bit-float-point

标签

python

floating-point

binary

ieee-754