Example #1
0
def partition_extension_pgl(pgl_file,q,num_blocks,modify_pa=True,use_ILP=False):

    # Since it is PGL one can add at most 2 new symbols:
    num_new_sym=2

    # New symbols:
    new_symbols=range(q+1,q+1+num_new_sym)

    # # Number of symbols:
    num_symbols=q+1

    # Number of parts:
    num_parts=num_blocks

    # Number of lines from the PA (asumming in order):
    end=(num_parts+2)*num_symbols # The +2 is for the freebies
    pgl_pa=parse_pa(pgl_file,end)

    # Get the pgl blocks:
    blocks=get_pgl_blocks(pgl_pa,q,num_parts+2)

    # Run parallel pe
    len_out,out,P,Q=parallel_pe_blocks(blocks,num_blocks,num_new_sym,modify_pa=True,use_ILP=use_ILP)

    print "pa_size:",len_out
    return len_out,out,P,Q
Example #2
0
def main(argv):

    parser = argparse.ArgumentParser(description='Crete and ILP model for the partitioning problem')
    parser.add_argument("--in_pa_file", required=False, help='The Permutation Array File')
    parser.add_argument("--sought_hd", type=int, required=False, help='The Permutation Array File')
    parser.add_argument("--num_blocks", type=int, required=False, help='The number of blocks to look for')
    parser.add_argument("--out_pa_file", required=False, help='The filename to save the resulting permutation Array')
    parser.add_argument("--out_partition_file", required=False, help='The filename to save the patition for permutation Array ')
    parser.add_argument("--time_limit", required=False, help='Stop solver after these many seconds')
    parser.add_argument("--use_ceiling_function", action='store_true', required=False, help='When computing the number of blocks, use ceiling instead of floor')
    parser.add_argument("--in_block_file", required=False, help='The Permutation Array File')
    parser.add_argument("--representatives", required=False, help='A file containing a list of coset representatives of the group to be extended')


    # Get the arguments:
    args = parser.parse_args()

    # Get the pa from file
    if args.in_pa_file:
        # pa=parse_pa(args.in_pa_file)
        # print pa

        # Do partition and extension
        pa_str,p_q_str,pa_len=partition_extension(args.in_pa_file,sought_hd=args.sought_hd,num_blocks=args.num_blocks,ceil=args.use_ceiling_function)

        print p_q_str
        # exit()

        # Save the extended PA
        if args.out_pa_file:

            # Save to file
            write_file(args.out_pa_file,pa_str)

        # # Save the partition:
        if args.out_partition_file:

            # Save to file
            write_file(args.out_partition_file,p_q_str)

        if args.out_pa_file is None:
            print pa_len

    # Do PE on blocks instead with coset representatives:
    elif args.in_block_file and args.representatives and args.num_blocks:
        
        # Retrieve representatives:
        reps=parse_repsentatives(args.representatives)

        # Get the block from file
        pa=parse_pa(args.in_block_file)

        # Get cosets:
        cosets=create_cosets(pa,reps,args.num_blocks)

        pa_str,p_q_str,pa_len=partition_extension_blocks(cosets)

        print pa_len
Example #3
0
def random_walk(pa_file, d, add_symbol, append_file_name, jump_prob,
                existing_representatives):
    if jump_prob == None:
        jump_prob = 0.7

    # Retrieve the Permutation Array
    pa = parse_pa(pa_file)
    # print pa

    if add_symbol:
        pa = add_symbol_fun(pa)

    # Number of symbols:
    num_symbols = len(pa[0])

    # Get a random permutation:
    p = p_not_in_pa(pa, num_symbols)

    keep_searching = True

    # Keep track of p_i:
    p_i = [range(num_symbols)]
    if existing_representatives is not None:
        p_i = existing_representatives

    while keep_searching:

        # The first pernutation to be found:
        ckc = qcheck_i(p_i, p, pa)

        if ckc >= d:
            print 'ckc', ckc
            p_i.append(p)
            print p
            if append_file_name is not None:
                append_file(append_file_name, pa2str([p]) + '\n')

        # Compute a random draw from the uniform distribution
        draw = random()

        # Reject:
        if draw <= jump_prob:
            p = p_not_in_pa(pa, num_symbols)

        else:
            # print 'trans~'
            for x in range(randint(1, num_symbols / 2)):
                p = rand_transpositon(p)
            while p in pa:
                # print 'trans+'
                # p=rand_transpositon(p)
                for x in range(randint(1, num_symbols / 2)):
                    p = rand_transpositon(p)

    return p_i
Example #4
0
def prepare(agl_file, pgl_file, p, q):

    num_cosets = min(p - 1, q * (q - 1))

    # Get this number of AGL cosets:
    end = (num_cosets) * p  # The +1 is for the freeby
    agl_pa = parse_pa(agl_file, end)
    agl_blocks = []
    for i in xrange(num_cosets):
        agl_blocks.append(agl_pa[i * p:(i * p + p)])

    # Parse all pgl and find blocks
    pgl_pa = parse_pa(pgl_file, end)

    # Get the pgl blocks:
    pgl_blocks = get_pgl_blocks(pgl_pa, q, num_cosets)
    # print len(pgl_blocks),num_cosets
    # exit()

    return agl_blocks, pgl_blocks
Example #5
0
def main(argv):

    parser = argparse.ArgumentParser(
        description='Crete and ILP model for the partitioning problem')
    parser.add_argument("--in_pa_file",
                        required=False,
                        help='The Permutation Array File')
    parser.add_argument(
        "--sought_hd",
        type=int,
        required=False,
        help='Desired hamming distance for the resulting permutation Array')
    parser.add_argument(
        "--out_pa_file",
        required=False,
        help='The filename to save the resulting permutation Array')
    parser.add_argument("--add_symbol",
                        action='store_true',
                        required=False,
                        help='Increase the number of symbols by one')
    parser.add_argument(
        "--out_append_perms",
        required=False,
        help='A filename to keep track of newly found permutations')
    parser.add_argument(
        "--jump_prob",
        required=False,
        type=float,
        help=
        'The random probability to change the current permutation and find a new one'
    )
    parser.add_argument(
        "--existing_representatives_list",
        required=False,
        help='Start the search including this list of cosets representatives')

    print 'Aqui mero'
    # Get the arguments:
    args = parser.parse_args()

    # The append file name:
    if args.out_append_perms:
        append_file_name = args.out_append_perms
    else:
        append_file_name = None

    # Parse the coset representatives:
    existing_representatives = None
    if args.existing_representatives_list:
        if os.path.isfile(args.existing_representatives_list):
            existing_representatives = parse_pa(
                args.existing_representatives_list)

    # Get the pa from file
    elif args.in_pa_file:

        # Do partition and extension
        perms = random_walk(args.in_pa_file,
                            d=args.sought_hd,
                            add_symbol=args.add_symbol,
                            append_file_name=append_file_name,
                            jump_prob=args.jump_prob,
                            existing_representatives=existing_representatives)

        print perms
Example #6
0
def main():

    # Parse function arguments
    parser = argparse.ArgumentParser(
        description='Find controversial comments and save them as seeds')
    parser.add_argument("--in_pa_file",
                        required=False,
                        help='The Permutation Array File')
    parser.add_argument("--sought_hd",
                        type=int,
                        required=False,
                        help='The Permutation Array File')
    parser.add_argument(
        "--out_pa_file",
        required=False,
        help='The filename to save the resulting permutation Array')
    parser.add_argument(
        "--out_partition_file",
        required=False,
        help='The filename to save the patition for permutation Array ')

    # Do a list of PAs and compute new bouns
    parser.add_argument("--in_pa_folder",
                        required=False,
                        help='Folder to find PAs')
    parser.add_argument('-l',
                        '--l_num_symbols',
                        nargs='+',
                        type=int,
                        help='List of mols to partition and extend')
    parser.add_argument("--out_extended_pa",
                        required=False,
                        help='Folder to store newly created PAs')
    parser.add_argument("--out_extended_partitions",
                        required=False,
                        help='Folder to store newly created PAs\' partitions')
    parser.add_argument(
        "--max_iter",
        type=int,
        required=False,
        help='Maximum number of random partitions made by the algorithm')
    parser.add_argument("--in_original_bounds",
                        required=False,
                        help='Original Bounds')
    parser.add_argument("--out_new_bounds_file",
                        required=False,
                        help='A filename to store the new bounds, if any')
    parser.add_argument("--num_blocks",
                        type=int,
                        required=False,
                        help='The number of blocks to look for')
    parser.add_argument("--in_block_file",
                        required=False,
                        help='The Permutation Array File')
    parser.add_argument(
        "--representatives",
        required=False,
        help=
        'A file containing a list of coset representatives of the group to be extended'
    )
    parser.add_argument("--add_symbol",
                        action='store_true',
                        required=False,
                        help='Increase the number of symbols by one')
    parser.add_argument("--q",
                        type=int,
                        required=False,
                        help='The prime [power] in PGL(1,q)')
    parser.add_argument("--in_pgl_file",
                        required=False,
                        help='The Permutation Array File from PGL')
    parser.add_argument(
        "--use_pgl_blocks",
        action='store_true',
        required=False,
        help='Compute sequential parition and extension on blocks from PGL(2,q)'
    )

    args = parser.parse_args()
    max_iter = None

    if args.l_num_symbols and args.in_pa_folder:

        # Process this list
        pa_len_dic = list_partition_extension(
            args.l_num_symbols,
            in_pa_folder=args.in_pa_folder,
            out_extended_pa=args.out_extended_pa,
            out_extended_partitions=args.out_extended_partitions,
            max_iter=args.max_iter)

        print pa_len_dic

        # Compute new bounds and save them to file if any:
        if args.in_original_bounds and args.out_new_bounds_file and pa_len_dic is not None:

            # Retrieve the original bounds:
            orig_bounds = parse_original_bounds(args.in_original_bounds)

            # Check for new bounds and create a string to save to file
            new_bounds_str = check_new_bounds(orig_bounds, pa_len_dic)

            # Save to file:
            if new_bounds_str is not None:
                # print args.out_new_bounds_file
                write_file(args.out_new_bounds_file, new_bounds_str)

        print 'Done!'

    # Get the pa from file
    elif args.in_pa_file:
        pa = parse_pa(args.in_pa_file)
        # print pa

        # Do partition and extension
        pa_str, p_q_str, pa_len = partition_extension(
            pa, sought_hd=args.sought_hd, num_blocks=args.num_blocks)

        # Save the extended PA
        if args.out_pa_file:

            # Save to file
            write_file(args.out_pa_file, pa_str)

        # # Save the partition:
        if args.out_partition_file:

            # Save to file
            write_file(args.out_partition_file, p_q_str)

        if args.out_pa_file is None:
            print pa_len

    # Do PE on blocks instead with coset representatives:
    elif args.in_block_file and args.representatives and args.num_blocks:

        # Retrieve representatives:
        reps = parse_repsentatives(args.representatives)

        # Get the block from file
        pa = parse_pa(args.in_block_file)

        if args.add_symbol:
            pa = add_symbol_fun(pa)

        # Get cosets:
        cosets = create_cosets(pa, reps, args.num_blocks)

        pa_str, p_q_str, pa_len = partition_extension_blocks(cosets)

        # Save the extended PA
        if args.out_pa_file:

            # Save to file
            write_file(args.out_pa_file, pa_str)

        # # Save the partition:
        if args.out_partition_file:

            # Save to file
            write_file(args.out_partition_file, p_q_str)

        print pa_len
Example #7
0
def partition_extension(pa_file,
                        num_symbols=None,
                        max_iter=5,
                        num_blocks=None):

    # Num of partitions to make:
    sqr_sym = int(math.floor(math.sqrt(num_symbols)))

    # Number of parts:
    num_parts = min(sqr_sym, num_blocks - 1)
    # print 'num_parts',num_parts

    # Number of lines from the PA (asumming in order):
    end = (num_parts + 1) * num_symbols  # The +1 is for the freeby
    pa = parse_pa(pa_file, end)

    # Find blocks
    if num_blocks is not None:
        blocks = []
        elem_per_block = len(pa) / (num_parts + 1)
        for b_idx in range((num_parts + 1)):
            sough_dist_block = pa[elem_per_block *
                                  b_idx:elem_per_block * b_idx +
                                  elem_per_block]
            blocks.append(sough_dist_block)

    # New symbol:
    new_symbol = len(blocks[0])

    # Block matrices:
    mat_blocks = []

    # Make the blocks matrices:
    for x in range(num_parts):
        mat_blocks.append(np.array(blocks[x]))

    # Search for the best parition:
    best_p = None
    best_q = None
    best_pa = None
    best_pa_len = 0

    # Create the partition shell
    P = [[] for x in range(num_parts)]
    Q = [[] for x in range(num_parts)]

    # Num elements in each default partition:
    def_elemnts = int(math.floor(new_symbol / float(num_parts)))
    # Check if the number of elements is an integer or not
    is_int = (new_symbol / float(num_parts)).is_integer()

    # Covered permutations:
    pa = []

    # For when num of symbols is not integer:
    q_start = 0
    q_add = 0

    # Add the default part:
    for x in range(num_parts):
        P[x].append(x)
        if True and not is_int:
            if x % 2 == 0:
                Q[x] += range(q_start, q_start + (def_elemnts) + 1)
                q_start = Q[x][-1] + 1
            else:
                Q[x] += range(q_start, q_start + (def_elemnts))
                q_start = Q[x][-1] + 1
            # print q_start
        else:
            Q[x] += range((def_elemnts) * x, (def_elemnts) * x + (def_elemnts))

        # Keep track of the number of symbols in the partition Q
        q_add += len(Q[x])

        mat_blocks[x], cov_perm = check_coverage(mat_blocks[x], P[x][0], Q[x])
        pa += cov_perm

    # Make sure tha all symbols are included in the Q partitioning
    if q_add < new_symbol:
        # get the missing symbols:
        Q[0] += range(q_add, new_symbol)

    # Go over each of the remaining columns (symbols):
    for x in range(num_parts, new_symbol):

        # Test which block gets more coverage:
        tmp_mats = []
        tmp_cov_perm = []
        len_coverage = []

        # Check each block
        for y in range(len(mat_blocks)):
            tmp_mat, tmp_perms = check_coverage(mat_blocks[y], x, Q[y])
            tmp_mats.append(tmp_mat)
            tmp_cov_perm.append(tmp_perms)
            len_coverage.append(len(tmp_perms))

        # Get the max block index:
        mat_idx = len_coverage.index(max(len_coverage))

        # Assign this position to P_mat_idx:
        P[mat_idx].append(x)

        # Delete the permutations in M once we found the position and values:
        mat_blocks[mat_idx] = tmp_mats[mat_idx]

        # Add symbol:
        ext_perms = add_symbol(tmp_cov_perm[mat_idx], x, new_symbol)

        # Add the selected block permutations to the pa:
        pa += ext_perms

        # Early termination
        if len(pa) == new_symbol * num_parts:
            break

    # Add the freeby block:
    ext_perms = add_symbol(blocks[-1], new_symbol - 1, new_symbol)
    pa += ext_perms

    # Create the partition as a string
    pa_str = pprint_pa(pa)

    # Create the p partition and q partition as strings:
    p_q_str = 'P:' + str(P) + '\n\n'
    p_q_str += 'Q:' + str(Q) + '\n'

    # The size of the pa:
    pa_len = len(pa)

    return pa_str, p_q_str, pa_len
Example #8
0
def main(argv):

    parser = argparse.ArgumentParser(description='Crete and ILP model for the partitioning problem')
    parser.add_argument("--in_pa_file", required=False, help='The Permutation Array File, a group')
    parser.add_argument("--sought_hd", type=int, required=False, help='The Permutation Array File')
    parser.add_argument("--num_blocks", type=int, required=False, help='The number of blocks to look for')
    parser.add_argument("--out_pa_file", required=False, help='The filename to save the resulting permutation Array')
    parser.add_argument("--out_partition_file", required=False, help='The filename to save the patition for permutation Array ')
    parser.add_argument("--in_partition", required=False, help='A file containing the partion system to be used')
    parser.add_argument("--representatives", required=False, help='A file containing a list of coset representatives of the group to be extended')
    parser.add_argument("--num_new_sym", type=int, required=False, help='The number of new symbols to extend to')
    parser.add_argument("--use_ILP", action='store_true', required=False, help='Use the ILP PE method instead of the greedy algorithm')
    parser.add_argument("--out_dir", required=False, help='A filename to keep track of current new bounds')
    parser.add_argument("--q", type=int, required=False, help='The prime [power] in PGL(1,q)')
    parser.add_argument("--in_pgl_file", required=False, help='The Permutation Array File from PGL')


    # Get the arguments:
    args = parser.parse_args()

    P=None;Q=None;
    if args.in_partition:
        P,Q=parse_partition(args.in_partition)

    # Retrieve coset representatives
    if args.representatives:
        reps=parse_repsentatives(args.representatives)
    else:
        reps=None

    # Do partition and extension on the given cosets of group:
    if args.in_pa_file and reps:

        # Try this: because we want only a part of it
        nd_tuple=get_nd(args.in_pa_file)
        if nd_tuple is not None:
            n,d=nd_tuple

        # Get the group, all of it!
        pa=parse_pa(args.in_pa_file)[:]

        # Do partition and extension on coset representatives:
        pa_pe_size,ext_pa,P,Q=partition_extension2(pa,args.num_new_sym,args.num_blocks,reps,P,Q,modify_pa=True)

    # Do PE on PGL
    elif args.in_pgl_file and args.q and args.num_blocks:
        len_out,out,P,Q=partition_extension_pgl(args.in_pgl_file,args.q,args.num_blocks,use_ILP=args.use_ILP)
    
    # If a directory is given to save the resulting files:
    if args.out_dir:
        pa_fname=join(args.out_dir,str(n+args.num_new_sym)+'_'+str(d+args.num_new_sym)+'.txt')
        part_fname=join(args.out_dir,str(n+args.num_new_sym)+'_'+str(d+args.num_new_sym)+'_partition.txt')

        pa_str=pa2str(ext_pa)
        # Save to file
        print pa_fname
        write_file(pa_fname,pa_str)

        print part_fname
        # Create the p partition and q partition as strings:
        p_q_str='P:'+str(P)+'\n'
        p_q_str+='Q:'+str(Q)+'\n'
        write_file(part_fname,p_q_str)
    
    # Save the extended PA
    if args.out_pa_file:
        pa_str=pa2str(ext_pa)
        # Save to file
        write_file(args.out_pa_file,pa_str)

    # # Save the partition:
    if args.out_partition_file:

        # Create the p partition and q partition as strings:
        p_q_str='P:'+str(P)+'\n'
        p_q_str+='Q:'+str(Q)+'\n'

        # Save to file
        write_file(args.out_partition_file,p_q_str)
Example #9
0
def main():

    # Parse function arguments
    parser = argparse.ArgumentParser(
        description=
        'Generate q-1 blocks of size q+1 from PGL(2,q) where q is a prime (power)'
    )
    parser.add_argument("--in_pgl_file",
                        required=False,
                        help='The Permutation Array File from PGL')
    parser.add_argument("--q",
                        type=int,
                        required=False,
                        help='The prime in PGL(1,q)')
    parser.add_argument("--pwr",
                        type=int,
                        required=False,
                        help='Power to wich q is exponentiated')
    parser.add_argument("--out_blocks_file",
                        required=False,
                        help='Filename to save the resulting PGL blocks')
    parser.add_argument("--no_block_separator",
                        dest='use_block_separator',
                        action='store_false',
                        required=False,
                        help='Do NOT include a line of "###" between blocks')
    parser.set_defaults(use_block_separator=True)
    parser.set_defaults(pwr=1)

    args = parser.parse_args()
    pgl_blocks = None
    out_str = []
    if args.q:
        q = args.q**args.pwr

    # # # Parralle partition and extension:
    if args.in_pgl_file is None and q is not None:
        print 'Using java group generator'
        if not compile_java():
            print 'Error compiling the group generator. Make sure that GroupGeneration.java is located in the same directory'
            exit()
        pgl_pa = get_pgl_java(args.q, args.pwr)
        if pgl_pa is None:
            print 'Error generating the group, preferably provide a file with it'
            exit()
        elif pgl_pa == -1:
            print 'Error: q is not a prime or q is a prime power. If q is a prime power, include the exponent i.e. --pwr 3'
            exit()

        # Compute the number of blocks to generate
        num_cosets = q * ((q) - 1)
        # Get the pgl blocks:
        pgl_blocks = get_pgl_blocks(pgl_pa, q, num_cosets)

    elif q:
        if not isfile(args.in_pgl_file):
            print '"' + args.in_pgl_file + '"', 'not found'
            exit()
        pgl_pa = parse_pa(args.in_pgl_file)
        num_cosets = q * ((q) - 1)

        # Get the pgl blocks:
        pgl_blocks = get_pgl_blocks(pgl_pa, q, num_cosets)

    # Generate output:
    if pgl_blocks is not None:
        for block in pgl_blocks:
            out_str.append(pa2str(block))
            # Separate blocks:
            if args.use_block_separator:
                out_str.append('###')
        if args.use_block_separator:
            out_str.pop()

    # Save the extended PA
    if args.out_blocks_file and pgl_blocks is not None:
        # Save to file
        write_file(args.out_blocks_file, '\n'.join(out_str))
    # print
    elif out_str:
        print '\n'.join(out_str)
    else:
        print 'No File processed or blocks were generated!'
Example #10
0
def prepare(pa_file,num_symbols=0,num_blocks=0,ceil=False):

    # Num of partitions to make:
    if ceil:
        sqr_sym=int(math.ceil(math.sqrt(num_symbols)))
    else:
        sqr_sym=int(math.floor(math.sqrt(num_symbols)))

    # Number of parts:
    num_parts=min(sqr_sym,num_blocks-1)

    # Number of lines from the PA (asumming in order):
    end=(num_parts+1)*num_symbols # The +1 is for the freeby
    pa=parse_pa(pa_file,end)

    elem_per_block=len(pa)/(num_parts+1)
    print elem_per_block
    
    # AGL blocks:
    if len(pa)%float(num_symbols)==0:
        print 'AGL blocks'
        elem_per_block=num_symbols
        print 'elem_per_block',elem_per_block
    # exit()

    # Find blocks
    if num_blocks is not None:
        blocks=[]
        for b_idx in range((num_parts+1)):
            sough_dist_block=pa[elem_per_block*b_idx:elem_per_block*b_idx+elem_per_block]
            # print len(sough_dist_block)
            # print 'b_idx',b_idx,hd_pairwise(sough_dist_block)
            blocks.append(sough_dist_block)

    # New symbol:
    new_symbol=len(blocks[0][0])

    # The freeby block:
    freeby=blocks[-1]

    # Get only the blocks that will actually be used
    blocks=blocks[0:num_parts]

    # For when num of symbols is not integer:
    q_start=0
    q_add=0

    # Num of permutations covered with the arbitrary selection:
    start_coverage=0

    # Create the partition shell
    P=[[] for x in range(num_parts)]
    Q=[[] for x in range(num_parts)]

    # Num elements in each default partition:
    def_elemnts=int(math.floor(new_symbol/float(num_parts)))
    # Check if the number of elements is an integer or not
    is_int=(new_symbol/float(num_parts)).is_integer()

    # Add the default part:
    for x in range(num_parts):
        # P[x].append(x)
        if True and not is_int:
            if x%2==0:
                Q[x]+=range(q_start,q_start+(def_elemnts)+1)
                q_start=Q[x][-1]+1
            else:
                Q[x]+=range(q_start,q_start+(def_elemnts))
                q_start=Q[x][-1]+1
            # print q_start
        else:
            Q[x]+=range((def_elemnts)*x,(def_elemnts)*x+(def_elemnts))
        
        # Keep track of the number of symbols in the partition Q
        q_add+=len(Q[x])

    print P,Q

    return blocks,freeby,Q,P,new_symbol