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                # encoding=utf8  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                """Implementation of various utility functions."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import logging  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from numpy import (  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ndarray,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    asarray,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    full,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    empty,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    where,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    random as rand,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ceil,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    amin,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    amax  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                logging.basicConfig()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                logger = logging.getLogger("NiaPy.util.utility") | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                logger.setLevel("INFO") | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                __all__ = [  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    "limit_repair",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    "limitInversRepair",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    "objects2array",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    "wangRepair",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    "randRepair",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    "fullArray",  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    "reflectRepair"  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                ]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def limit_repair(x, Lower, Upper, **kwargs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    r"""Repair solution and put the solution in the random position inside of the bounds of problem.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Arguments:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            x (numpy.ndarray): Solution to check and repair if needed.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            Lower (numpy.ndarray): Lower bounds of search space.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            Upper (numpy.ndarray): Upper bounds of search space.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            kwargs (Dict[str, Any]): Additional arguments.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Returns:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            numpy.ndarray: Solution in search space.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ir = where(x < Lower)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    x[ir] = Lower[ir]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ir = where(x > Upper)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    x[ir] = Upper[ir]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    return x  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def limitInversRepair(x, Lower, Upper, **kwargs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    r"""Repair solution and put the solution in the random position inside of the bounds of problem.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Arguments:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    59
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                            x (numpy.ndarray): Solution to check and repair if needed.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    60
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                            Lower (numpy.ndarray): Lower bounds of search space.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            Upper (numpy.ndarray): Upper bounds of search space.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            kwargs (Dict[str, Any]): Additional arguments.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Returns:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    65
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                            numpy.ndarray: Solution in search space.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ir = where(x < Lower)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    x[ir] = Upper[ir]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ir = where(x > Upper)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    x[ir] = Lower[ir]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    return x  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def wangRepair(x, Lower, Upper, **kwargs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    r"""Repair solution and put the solution in the random position inside of the bounds of problem.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Arguments:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    80
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                            x (numpy.ndarray): Solution to check and repair if needed.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    81
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                            Lower (numpy.ndarray): Lower bounds of search space.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    82
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                            Upper (numpy.ndarray): Upper bounds of search space.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    83
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                            kwargs (Dict[str, Any]): Additional arguments.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    85
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                    Returns:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    86
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                            numpy.ndarray: Solution in search space.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ir = where(x < Lower)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    x[ir] = amin([Upper[ir], 2 * Lower[ir] - x[ir]], axis=0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ir = where(x > Upper)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    x[ir] = amax([Lower[ir], 2 * Upper[ir] - x[ir]], axis=0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    return x  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def randRepair(x, Lower, Upper, rnd=rand, **kwargs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    r"""Repair solution and put the solution in the random position inside of the bounds of problem.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    99
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                    100
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                    Arguments:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    101
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                            x (numpy.ndarray): Solution to check and repair if needed.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    102
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                            Lower (numpy.ndarray): Lower bounds of search space.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            Upper (numpy.ndarray): Upper bounds of search space.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    104
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                            rnd (mtrand.RandomState): Random generator.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            kwargs (Dict[str, Any]): Additional arguments.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    107
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                    Returns:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    108
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                            numpy.ndarray: Fixed solution.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    111
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                    112
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                    ir = where(x < Lower)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    113
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                    x[ir] = rnd.uniform(Lower[ir], Upper[ir])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ir = where(x > Upper)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    115
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                    x[ir] = rnd.uniform(Lower[ir], Upper[ir])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    return x  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    118
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                    119
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                def reflectRepair(x, Lower, Upper, **kwargs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    120
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                    r"""Repair solution and put the solution in search space with reflection of how much the solution violates a bound.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    121
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                    122
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                    Args:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    123
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                            x (numpy.ndarray): Solution to be fixed.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    124
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                            Lower (numpy.ndarray): Lower bounds of search space.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    125
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                            Upper (numpy.ndarray): Upper bounds of search space.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    126
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                            kwargs (Dict[str, Any]): Additional arguments.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    127
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                    128
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                    Returns:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    129
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                            numpy.ndarray: Fix solution.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    130
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                    131
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    132
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                    133
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                    ir = where(x > Upper)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    134
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                    x[ir] = Lower[ir] + x[ir] % (Upper[ir] - Lower[ir])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    135
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                    ir = where(x < Lower)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    136
                 | 
                                    
                                                     | 
                
                 | 
                    x[ir] = Lower[ir] + x[ir] % (Upper[ir] - Lower[ir])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    137
                 | 
                                    
                                                     | 
                
                 | 
                    return x  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    138
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    139
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    140
                 | 
                                    
                                                     | 
                
                 | 
                def fullArray(a, D):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    141
                 | 
                                    
                                                     | 
                
                 | 
                    r"""Fill or create array of length D, from value or value form a.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    142
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                                                     | 
                
                 | 
                    Arguments:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                                                     | 
                
                 | 
                        a (Union[int, float, numpy.ndarray], Iterable[Any]): Input values for fill.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                                                     | 
                
                 | 
                        D (int): Length of new array.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
                                                     | 
                
                 | 
                    Returns:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
                                                     | 
                
                 | 
                        numpy.ndarray: Array filled with passed values or value.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    152
                 | 
                                    
                                                     | 
                
                 | 
                    A = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
                                                     | 
                
                 | 
                    if isinstance(a, (int, float)):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    155
                 | 
                                    
                                                     | 
                
                 | 
                        A = full(D, a)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    156
                 | 
                                    
                                                     | 
                
                 | 
                    elif isinstance(a, (ndarray, list, tuple)):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    157
                 | 
                                    
                                                     | 
                
                 | 
                        if len(a) == D:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
                                                     | 
                
                 | 
                            A = a if isinstance(a, ndarray) else asarray(a)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    159
                 | 
                                    
                                                     | 
                
                 | 
                        elif len(a) > D:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
                                                     | 
                
                 | 
                            A = a[:D] if isinstance(a, ndarray) else asarray(a[:D])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
                                                     | 
                
                 | 
                        else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
                                                     | 
                
                 | 
                            for i in range(int(ceil(float(D) / len(a)))):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
                                                     | 
                
                 | 
                                A.extend(a[:D if (D - i * len(a)) >= len(a) else D - i * len(a)])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
                                                     | 
                
                 | 
                            A = asarray(A)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
                                                     | 
                
                 | 
                    return A  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    167
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                def objects2array(objs):  | 
            
            
                                                        
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                    r"""Convert `Iterable` array or list to `NumPy` array.  | 
            
            
                                                        
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    171
                 | 
                                    
                                                     | 
                
                 | 
                    Args:  | 
            
            
                                                        
            
                                    
            
            
                | 
                    172
                 | 
                                    
                                                     | 
                
                 | 
                        objs (Iterable[Any]): Array or list to convert.  | 
            
            
                                                        
            
                                    
            
            
                | 
                    173
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                    Returns:  | 
            
            
                                                        
            
                                    
            
            
                | 
                    175
                 | 
                                    
                                                     | 
                
                 | 
                        numpy.ndarray: Array of objects.  | 
            
            
                                                        
            
                                    
            
            
                | 
                    176
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    177
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                        
            
                                    
            
            
                | 
                    178
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    179
                 | 
                                    
                                                     | 
                
                 | 
                    a = empty(len(objs), dtype=object)  | 
            
            
                                                        
            
                                    
            
            
                | 
                    180
                 | 
                                    
                                                     | 
                
                 | 
                    for i, e in enumerate(objs):  | 
            
            
                                                        
            
                                    
            
            
                | 
                    181
                 | 
                                    
                                                     | 
                
                 | 
                        a[i] = e  | 
            
            
                                                        
            
                                    
            
            
                | 
                    182
                 | 
                                    
                                                     | 
                
                 | 
                    return a  | 
            
            
                                                        
            
                                    
            
            
                | 
                    183
                 | 
                                    
                                                     | 
                
                 | 
                 |