Bitwise Rotate Right

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佛祖请我去吃肉 2021-02-06 08:55

I am trying to convert this C function into Python;

typedef unsigned long var;
    /* Bit rotate rightwards */
    var ror(var v,unsigned int bits) {
        ret         


        
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  • 2021-02-06 09:10

    The shortest way I've found in Python: (note this works only with integers as inputs)

    def ror(n,rotations,width):
        return (2**width-1)&(n>>rotations|n<<(width-rotations))
    
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  • 2021-02-06 09:12

    There are different problems in your question.

    C part :

    You use a value of key that is a 64 bits value (0x0f0f0f0f0f123456), but the output shows that for you compiler unsigned long is only 32 bits wide. So what C code does is rotating the 32 bits value 0x0f123456 16 times giving 0x34560f12

    If you had used unsigned long long (assuming it is 64 bits on your architecture as it is on mine), you would have got 0x34560f0f0f0f0f12 (rotation 16 times of a 64 bits)

    Python part :

    The definition of width between mask1 and ror is not consistent. mask1 takes a width in bits, where ror takes a width in bytes and one byte = 8 bits.

    The ror function should be :

    def ror(n, rotations=1, width=8):
        """Return a given number of bitwise right rotations of an integer n,
           for a given bit field width.
        """
        rotations %= width * 8  #  width bytes give 8*bytes bits
        if rotations < 1:
            return n
        mask = mask1(8 * width)  # store the mask
        n &= mask
        return (n >> rotations) | ((n << (8 * width - rotations)) & mask)  # apply the mask to result
    

    That way with key = 0x0f0f0f0f0f123456, you get :

    >>> hex(ror(key, 16))
    '0x34560f0f0f0f0f12L'
    >>> hex(ror(key, 16, 4))
    '0x34560f12L'
    

    exactly the same as C output

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  • 2021-02-06 09:22

    Your C output doesn't match the function that you provided. That is presumably because you are not printing it correctly. This program:

    #include <stdio.h>
    #include <stdint.h>
    
    uint64_t ror(uint64_t v, unsigned int bits) 
    {
        return (v>>bits) | (v<<(8*sizeof(uint64_t)-bits));
    }
    
    int main(void)
    {
        printf("%llx\n", ror(0x0123456789abcdef, 4));
        printf("%llx\n", ror(0x0123456789abcdef, 8));
        printf("%llx\n", ror(0x0123456789abcdef, 12));
        printf("%llx\n", ror(0x0123456789abcdef, 16));
        return 0;
    }
    

    produces the following output:

    f0123456789abcde
    ef0123456789abcd
    def0123456789abc
    cdef0123456789ab
    

    To produce an ror function in Python I refer you to this excellent article: http://www.falatic.com/index.php/108/python-and-bitwise-rotation

    This Python 2 code produces the same output as the C program above:

    ror = lambda val, r_bits, max_bits: \
        ((val & (2**max_bits-1)) >> r_bits%max_bits) | \
        (val << (max_bits-(r_bits%max_bits)) & (2**max_bits-1))
    
    print "%x" % ror(0x0123456789abcdef, 4, 64)
    print "%x" % ror(0x0123456789abcdef, 8, 64)
    print "%x" % ror(0x0123456789abcdef, 12, 64)
    print "%x" % ror(0x0123456789abcdef, 16, 64)
    
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  • 2021-02-06 09:24
    def rotation_value(value, rotations, widht=32):
        """ Return a given number of bitwise left or right rotations of an interger 
        value,
        for a given bit field widht.
        if rotations == -rotations:
            left
        else:
            right
        """
        if int(rotations) != abs(int(rotations)):
            rotations = widht + int(rotations)
        return (int(value)<<(widht-(rotations%widht)) | (int(value)>>(rotations%widht))) & ((1<<widht)-1)
    
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  • 2021-02-06 09:30

    i know its nearly 6 years old

    I always find it easier to use string slices than bitwise operations.

    def rotate_left(x, n):
        return int(f"{x:032b}"[n:] + f"{x:032b}"[:n], 2)
    
    def rotate_right(x, n):
        return int(f"{x:032b}"[-n:] + f"{x:032b}"[:-n], 2)
    
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