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B �5�g>M � @ sj d Z ddgZddlZddlmZ ddlmZ ddlmZ dd lm Z dd lm Z m Z dd l mZmZ dd lm Z d d� Zdd� ZG dd� d�Ze je je je je je jiZdZe je e j de� d�d�e je e j de� d�d�e j e e j!de� d�d�e j"e e j#de� d �d�iZ$i Z%d d � Z&i Z'd d � Z(d!d"� Z)d#d$� Z*ed%�G d&d� d��Z+ed%�G d'd� d��Z,dS )(zJMachine limits for Float32 and Float64 and (long double) if available... �finfo�iinfo� N� )�MachAr)� set_module)�numeric)� numerictypes)�array�inf)�log10�exp2)�umathc C s | j dkr| �� } d| _| S )zfix rank-0 --> rank-1r )r )�ndim�copy�shape)�a� r �J/home/digitalm-up/venv/lib/python3.7/site-packages/numpy/core/getlimits.py�_fr0 s r c C s | j dkr| �� } d| _| S )zfix rank > 0 --> rank-0r r )�sizer r )r r r r �_fr1 s r c @ s e Zd ZdZdd� ZdS )� MachArLikez$ Object to simulate MachAr instance c s� t � ��fdd�� � fdd�}��fdd�} �d | _||� | _| _||�| _||� | _| _||� | _| _�d |�| _ | j � |� t t | j� �| _|� d�| j �| _| | j�| _| | j�| _| | j�| _| | j�| _| | j�| _d S )Nc s t | g� �S )N)r )�v)�ftyper r �<lambda>' � z%MachArLike.__init__.<locals>.<lambda>c s t � | ��S )N)r )r )� float_convr r r ( r c s �d t t| �d � � S )N�fmtr )r r )r )r �paramsr r r ) r �title�itype� )�_MACHAR_PARAMSr �epsilon�eps�epsnegZxmax�hugeZxmin�tiny�ibeta�__dict__�update�intr � precision� resolution�_str_eps� _str_epsneg� _str_xmin� _str_xmax�_str_resolution) �selfr r$ r% r& r' r( �kwargsZfloat_to_floatZ float_to_strr )r r r r �__init__# s$ zMachArLike.__init__N)�__name__� __module__� __qualname__�__doc__r5 r r r r r s r z(numpy {} precision floating point numberz%24.16e�double)r r r z%15.7e�singlez%sz long doublez%12.5e�halfc C s | t |< d S )N)� _KNOWN_TYPES)�macharZbytepatr r r �_register_typeZ s r? c C s� t j} t| dddddddddt| d��t| d��| d �| d �d �}t|d � |td< t j}t|d ddddddddt|d ��t|d��|ddd �t|d��d �}t|d� |td< t j}d}d}t|ddddd d dddd |d | | |d � |d �}t|d!� |td"< t j}t|d#��} t|d$��} t j d%d&�� |d'�| | |d � } W d Q R X t|d(d#d$d)d*d+dddt|d(��| | | d �} t| d,� t| d,� | td< t|d-��} t|d$��}t j d%d&�� |d'�| | |d � }W d Q R X t|d.d-d$d)d/d+dddt|d.��| ||d �}t|d0� |td1< t t d2��rDt � |t�|d��n|j}t|d3d4ddd5d dddt|d3��t|d4��|t|d��d �}t|d6� t|d7� |td8< d S )9Ni����i����i�� r! � � r i� g ?) �machep�negep�minexp�maxexp�it�iexpr( ZirndZngrdr$ r% r& r' s f�i��i��i����� � � g ��?s ��̽� g �<g i���i���i���i �4 � g �<g �?� s ���������@ i����i����ignore)�allr i����i @ �p � s ����������������i����i�����? s ����������P � nextafteri����i�����i s ������Y<��������s ��������������Y<�dd)�ntypesZfloat16r r r? � _float_maZfloat32Zfloat64� longdoubler Zerrstate�hasattrr rW r r& )Zf16Z float16_maZf32Z float32_maZf64Z epsneg_f64Ztiny_f64Z float64_ma�ldZ epsneg_f128Z tiny_f128Z huge_f128Z float128_maZ epsneg_f80Ztiny_f80Zhuge_f80Z float80_maZhuge_ddZ float_dd_mar r r �_register_known_types^ s� " " r_ c C s� t �| �}|dkr tt| ���| d��d��� }d}| tjkrPt�|dd� �}|dkrbt�|�}|dk rn|S t j d� || �t dd� t | �S )a� Get MachAr instance or MachAr-like instance Get parameters for floating point type, by first trying signatures of various known floating point types, then, if none match, attempting to identify parameters by analysis. Parameters ---------- ftype : class Numpy floating point type class (e.g. ``np.float64``) Returns ------- ma_like : instance of :class:`MachAr` or :class:`MachArLike` Object giving floating point parameters for `ftype`. Warns ----- UserWarning If the binary signature of the float type is not in the dictionary of known float types. Nz-0.1�<r! zVSignature {} for {} does not match any known type: falling back to type probe functionrB )� stacklevel)r" �get� ValueError�reprZ newbyteorder�tobytesrZ r\ r= �warnings�warn�format� UserWarning�_discovered_machar)r r �keyZma_liker r r � _get_machar� s rl c s> t � �t� fdd��fdd�� fdd�� �fdd��d �S )zB Create MachAr instance with found information on float types c s t | g� �S )N)r )r )r r r r r z$_discovered_machar.<locals>.<lambda>c s t | �� d ��d S )Nr r )r Zastype)r )r r r r ! r c s t t| �d � �S )Nr )r r )r )r r r r " r c s �d t t| �d � � S )Nr r )r r )r )r r r r r # r r )r" r )r r )r r r rj s rj �numpyc @ s4 e Zd ZdZi Zdd� Zdd� Zdd� Zdd � Zd S ) r a� finfo(dtype) Machine limits for floating point types. Attributes ---------- bits : int The number of bits occupied by the type. eps : float The difference between 1.0 and the next smallest representable float larger than 1.0. For example, for 64-bit binary floats in the IEEE-754 standard, ``eps = 2**-52``, approximately 2.22e-16. epsneg : float The difference between 1.0 and the next smallest representable float less than 1.0. For example, for 64-bit binary floats in the IEEE-754 standard, ``epsneg = 2**-53``, approximately 1.11e-16. iexp : int The number of bits in the exponent portion of the floating point representation. machar : MachAr The object which calculated these parameters and holds more detailed information. machep : int The exponent that yields `eps`. max : floating point number of the appropriate type The largest representable number. maxexp : int The smallest positive power of the base (2) that causes overflow. min : floating point number of the appropriate type The smallest representable number, typically ``-max``. minexp : int The most negative power of the base (2) consistent with there being no leading 0's in the mantissa. negep : int The exponent that yields `epsneg`. nexp : int The number of bits in the exponent including its sign and bias. nmant : int The number of bits in the mantissa. precision : int The approximate number of decimal digits to which this kind of float is precise. resolution : floating point number of the appropriate type The approximate decimal resolution of this type, i.e., ``10**-precision``. tiny : float The smallest positive floating point number with full precision (see Notes). Parameters ---------- dtype : float, dtype, or instance Kind of floating point data-type about which to get information. See Also -------- MachAr : The implementation of the tests that produce this information. iinfo : The equivalent for integer data types. spacing : The distance between a value and the nearest adjacent number nextafter : The next floating point value after x1 towards x2 Notes ----- For developers of NumPy: do not instantiate this at the module level. The initial calculation of these parameters is expensive and negatively impacts import times. These objects are cached, so calling ``finfo()`` repeatedly inside your functions is not a problem. Note that ``tiny`` is not actually the smallest positive representable value in a NumPy floating point type. As in the IEEE-754 standard [1]_, NumPy floating point types make use of subnormal numbers to fill the gap between 0 and ``tiny``. However, subnormal numbers may have significantly reduced precision [2]_. References ---------- .. [1] IEEE Standard for Floating-Point Arithmetic, IEEE Std 754-2008, pp.1-70, 2008, http://www.doi.org/10.1109/IEEESTD.2008.4610935 .. [2] Wikipedia, "Denormal Numbers", https://en.wikipedia.org/wiki/Denormal_number c C s yt �|�}W n" tk r0 t �t|��}Y nX | j�|d �}|d k rL|S |g}t �|�}||k rr|�|� |}t|t j �s�t d| ��| j�|d �}|d k r�|S t|t j �s�t | }||k r�|�|� |}| j�|d �}|d k r�|S t �| ��|�}x|D ]}|| j|< q�W |S )Nzdata type %r not inexact)r �dtype� TypeError�type� _finfo_cacherb Z obj2sctype�append� issubclassZinexactrc Zfloating�_convert_to_float�object�__new__�_init)�clsrn �objZdtypesZnewdtype�dtr r r rv ~ s: z finfo.__new__c C s� t �|�| _t|�}x dD ]}t| |t||�� qW x$dD ] }t| |t||�jd � q:W | jjd | _|jjd | _ | j | _ |j jd | _ |j | _ |j| _|| _|j�� | _|j�� | _|j�� | _|j�� | _|j�� | _| S )N)r, rH rF rE rD rC )r' r- r% r rK )r rn rl �setattr�getattrZflat�itemsize�bitsr& �max�minr$ rH ZnexprG Znmantr> r0 �stripZ _str_tinyr1 Z_str_maxr/ r. r2 )r3 rn r> �wordr r r rw � s& z finfo._initc C s d}|| j S )Na� Machine parameters for %(dtype)s --------------------------------------------------------------- precision = %(precision)3s resolution = %(_str_resolution)s machep = %(machep)6s eps = %(_str_eps)s negep = %(negep)6s epsneg = %(_str_epsneg)s minexp = %(minexp)6s tiny = %(_str_tiny)s maxexp = %(maxexp)6s max = %(_str_max)s nexp = %(nexp)6s min = -max --------------------------------------------------------------- )r) )r3 r r r r �__str__� s z finfo.__str__c C s" | j j}| j�� }||d< d| S )N�klasszZ%(klass)s(resolution=%(resolution)s, min=-%(_str_max)s, max=%(_str_max)s, dtype=%(dtype)s))� __class__r6 r) r )r3 �c�dr r r �__repr__� s zfinfo.__repr__N) r6 r7 r8 r9 rq rv rw r� r� r r r r r ' s S!c @ sH e Zd ZdZi Zi Zdd� Zedd� �Zedd� �Z dd � Z d d � Z d S ) r al iinfo(type) Machine limits for integer types. Attributes ---------- bits : int The number of bits occupied by the type. min : int The smallest integer expressible by the type. max : int The largest integer expressible by the type. Parameters ---------- int_type : integer type, dtype, or instance The kind of integer data type to get information about. See Also -------- finfo : The equivalent for floating point data types. Examples -------- With types: >>> ii16 = np.iinfo(np.int16) >>> ii16.min -32768 >>> ii16.max 32767 >>> ii32 = np.iinfo(np.int32) >>> ii32.min -2147483648 >>> ii32.max 2147483647 With instances: >>> ii32 = np.iinfo(np.int32(10)) >>> ii32.min -2147483648 >>> ii32.max 2147483647 c C s~ yt �|�| _W n$ tk r4 t �t|��| _Y nX | jj| _| jjd | _d| j| jf | _| jdkrztd| jf ��d S )NrK z%s%d�iuz Invalid integer data type %r.) r rn ro rp �kindr} r~ rk rc )r3 Zint_typer r r r5 s ziinfo.__init__c C s\ | j dkrdS ytj| j }W n4 tk rR td| jd > �}|tj| j< Y nX |S dS )z Minimum value of given dtype.�ur r N)r� r � _min_valsrk �KeyErrorr+ r~ )r3 �valr r r r� s z iinfo.minc C sj yt j| j }W nT tk rd | jdkr>td| j> d �}ntd| jd > d �}|t j| j< Y nX |S )z Maximum value of given dtype.r� r )r � _max_valsrk r� r� r+ r~ )r3 r� r r r r s z iinfo.maxc C s d}|| j | j| jd� S )zString representation.z�Machine parameters for %(dtype)s --------------------------------------------------------------- min = %(min)s max = %(max)s --------------------------------------------------------------- )rn r� r )rn r� r )r3 r r r r r� ' s z iinfo.__str__c C s d| j j| j| j| jf S )Nz %s(min=%s, max=%s, dtype=%s))r� r6 r� r rn )r3 r r r r� 2 s ziinfo.__repr__N) r6 r7 r8 r9 r� r� r5 �propertyr� r r� r� r r r r r � s 0 )-r9 �__all__rf r> r Z overridesr � r r rZ r r r r r r r r Zcsingler; Zcomplex_Zfloat_Z clongfloatZ longfloatrt Z _title_fmtr: �dictZint64rh Zint32r\ Zlonglongr< Zint16r" r= r? r[ r_ rl rj r r r r r r �<module> sT / '
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