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a z[ycKJ � @ s� d dl Z d dlZd dlZd dlZddlmZ ddlmZmZm Z m Z d dl m Z d dl mZ g d�Ze jejdd �Zd d d �Zee�d!dd��Zd"dd�Zee�d#dd��Zd$dd�Zee�d%dd��Zdd� Zd d � Zd&d d �ZdS )'� N� )�numeric)� result_type�NaN� asanyarray�ndim)� add_docstring)� overrides)�logspace�linspace� geomspaceZnumpy)�modulec C s | |fS �N� )�start�stop�num�endpoint�retstep�dtype�axisr r �>/usr/lib64/python3.9/site-packages/numpy/core/function_base.py�_linspace_dispatcher s r �2 TFc C sx t �|�}|dk r td| ��|r*|d n|}t| �d } t|�d }t| |t|��}|du rb|}|| } tjd||d��ddt | � �} t� | �} |dkr�| | } t� | dk�r�| | } | r�| | 9 } q�| | } q�| r�| | 9 } q�| | } n t } | | } | | 7 } |�r|dk�r|| d < |dk�r0t� | d|�} t�|tj��rNtj| | d � |�rf| j|d d �| fS | j|d d �S dS ) a2 Return evenly spaced numbers over a specified interval. Returns `num` evenly spaced samples, calculated over the interval [`start`, `stop`]. The endpoint of the interval can optionally be excluded. .. versionchanged:: 1.16.0 Non-scalar `start` and `stop` are now supported. .. versionchanged:: 1.20.0 Values are rounded towards ``-inf`` instead of ``0`` when an integer ``dtype`` is specified. The old behavior can still be obtained with ``np.linspace(start, stop, num).astype(int)`` Parameters ---------- start : array_like The starting value of the sequence. stop : array_like The end value of the sequence, unless `endpoint` is set to False. In that case, the sequence consists of all but the last of ``num + 1`` evenly spaced samples, so that `stop` is excluded. Note that the step size changes when `endpoint` is False. num : int, optional Number of samples to generate. Default is 50. Must be non-negative. endpoint : bool, optional If True, `stop` is the last sample. Otherwise, it is not included. Default is True. retstep : bool, optional If True, return (`samples`, `step`), where `step` is the spacing between samples. dtype : dtype, optional The type of the output array. If `dtype` is not given, the data type is inferred from `start` and `stop`. The inferred dtype will never be an integer; `float` is chosen even if the arguments would produce an array of integers. .. versionadded:: 1.9.0 axis : int, optional The axis in the result to store the samples. Relevant only if start or stop are array-like. By default (0), the samples will be along a new axis inserted at the beginning. Use -1 to get an axis at the end. .. versionadded:: 1.16.0 Returns ------- samples : ndarray There are `num` equally spaced samples in the closed interval ``[start, stop]`` or the half-open interval ``[start, stop)`` (depending on whether `endpoint` is True or False). step : float, optional Only returned if `retstep` is True Size of spacing between samples. See Also -------- arange : Similar to `linspace`, but uses a step size (instead of the number of samples). geomspace : Similar to `linspace`, but with numbers spaced evenly on a log scale (a geometric progression). logspace : Similar to `geomspace`, but with the end points specified as logarithms. Examples -------- >>> np.linspace(2.0, 3.0, num=5) array([2. , 2.25, 2.5 , 2.75, 3. ]) >>> np.linspace(2.0, 3.0, num=5, endpoint=False) array([2. , 2.2, 2.4, 2.6, 2.8]) >>> np.linspace(2.0, 3.0, num=5, retstep=True) (array([2. , 2.25, 2.5 , 2.75, 3. ]), 0.25) Graphical illustration: >>> import matplotlib.pyplot as plt >>> N = 8 >>> y = np.zeros(N) >>> x1 = np.linspace(0, 10, N, endpoint=True) >>> x2 = np.linspace(0, 10, N, endpoint=False) >>> plt.plot(x1, y, 'o') [<matplotlib.lines.Line2D object at 0x...>] >>> plt.plot(x2, y + 0.5, 'o') [<matplotlib.lines.Line2D object at 0x...>] >>> plt.ylim([-0.5, 1]) (-0.5, 1) >>> plt.show() r z,Number of samples, %s, must be non-negative.r g �?N)r )���)r r )�outF��copy)�operator�index� ValueErrorr r �float�_nxZarangeZreshaper Zisscalar�anyr �moveaxis� issubdtypeZintegerZfloor�astype) r r r r r r r Zdiv�dtZdelta�yZ _mult_inplace�stepr r r r sD a " r c C s | |fS r r )r r r r �baser r r r r �_logspace_dispatcher� s r+ � $@c C s< t | ||||d�}|du r&t�||�S t�||�j|dd�S )a� Return numbers spaced evenly on a log scale. In linear space, the sequence starts at ``base ** start`` (`base` to the power of `start`) and ends with ``base ** stop`` (see `endpoint` below). .. versionchanged:: 1.16.0 Non-scalar `start` and `stop` are now supported. Parameters ---------- start : array_like ``base ** start`` is the starting value of the sequence. stop : array_like ``base ** stop`` is the final value of the sequence, unless `endpoint` is False. In that case, ``num + 1`` values are spaced over the interval in log-space, of which all but the last (a sequence of length `num`) are returned. num : integer, optional Number of samples to generate. Default is 50. endpoint : boolean, optional If true, `stop` is the last sample. Otherwise, it is not included. Default is True. base : array_like, optional The base of the log space. The step size between the elements in ``ln(samples) / ln(base)`` (or ``log_base(samples)``) is uniform. Default is 10.0. dtype : dtype The type of the output array. If `dtype` is not given, the data type is inferred from `start` and `stop`. The inferred type will never be an integer; `float` is chosen even if the arguments would produce an array of integers. axis : int, optional The axis in the result to store the samples. Relevant only if start or stop are array-like. By default (0), the samples will be along a new axis inserted at the beginning. Use -1 to get an axis at the end. .. versionadded:: 1.16.0 Returns ------- samples : ndarray `num` samples, equally spaced on a log scale. See Also -------- arange : Similar to linspace, with the step size specified instead of the number of samples. Note that, when used with a float endpoint, the endpoint may or may not be included. linspace : Similar to logspace, but with the samples uniformly distributed in linear space, instead of log space. geomspace : Similar to logspace, but with endpoints specified directly. Notes ----- Logspace is equivalent to the code >>> y = np.linspace(start, stop, num=num, endpoint=endpoint) ... # doctest: +SKIP >>> power(base, y).astype(dtype) ... # doctest: +SKIP Examples -------- >>> np.logspace(2.0, 3.0, num=4) array([ 100. , 215.443469 , 464.15888336, 1000. ]) >>> np.logspace(2.0, 3.0, num=4, endpoint=False) array([100. , 177.827941 , 316.22776602, 562.34132519]) >>> np.logspace(2.0, 3.0, num=4, base=2.0) array([4. , 5.0396842 , 6.34960421, 8. ]) Graphical illustration: >>> import matplotlib.pyplot as plt >>> N = 10 >>> x1 = np.logspace(0.1, 1, N, endpoint=True) >>> x2 = np.logspace(0.1, 1, N, endpoint=False) >>> y = np.zeros(N) >>> plt.plot(x1, y, 'o') [<matplotlib.lines.Line2D object at 0x...>] >>> plt.plot(x2, y + 0.5, 'o') [<matplotlib.lines.Line2D object at 0x...>] >>> plt.ylim([-0.5, 1]) (-0.5, 1) >>> plt.show() )r r r NFr )r r" Zpowerr& )r r r r r* r r r( r r r r � s \ r c C s | |fS r r )r r r r r r r r r �_geomspace_dispatcher s r- c C s� t | �} t |�}t�| dk�s,t�|dk�r4td��t| |t|�t�d|��}|du r\|}n t�|�}| j|dd�} |j|dd�}t� t� | |�j |�}t� |tj �r�| jdk|jdk@ }t�|�r�| | j| |< || j||< d||< t�| �d kt�|�d k@ } t�| ��r@tj| | | d � tj||| d � tj||| d � t�| �} t�|�} t| | ||d |d �} |dk�r�| | d< |d k�r�|�r�|| d < || } |dk�r�t�| d|�} | j|dd�S )a� Return numbers spaced evenly on a log scale (a geometric progression). This is similar to `logspace`, but with endpoints specified directly. Each output sample is a constant multiple of the previous. .. versionchanged:: 1.16.0 Non-scalar `start` and `stop` are now supported. Parameters ---------- start : array_like The starting value of the sequence. stop : array_like The final value of the sequence, unless `endpoint` is False. In that case, ``num + 1`` values are spaced over the interval in log-space, of which all but the last (a sequence of length `num`) are returned. num : integer, optional Number of samples to generate. Default is 50. endpoint : boolean, optional If true, `stop` is the last sample. Otherwise, it is not included. Default is True. dtype : dtype The type of the output array. If `dtype` is not given, the data type is inferred from `start` and `stop`. The inferred dtype will never be an integer; `float` is chosen even if the arguments would produce an array of integers. axis : int, optional The axis in the result to store the samples. Relevant only if start or stop are array-like. By default (0), the samples will be along a new axis inserted at the beginning. Use -1 to get an axis at the end. .. versionadded:: 1.16.0 Returns ------- samples : ndarray `num` samples, equally spaced on a log scale. See Also -------- logspace : Similar to geomspace, but with endpoints specified using log and base. linspace : Similar to geomspace, but with arithmetic instead of geometric progression. arange : Similar to linspace, with the step size specified instead of the number of samples. Notes ----- If the inputs or dtype are complex, the output will follow a logarithmic spiral in the complex plane. (There are an infinite number of spirals passing through two points; the output will follow the shortest such path.) Examples -------- >>> np.geomspace(1, 1000, num=4) array([ 1., 10., 100., 1000.]) >>> np.geomspace(1, 1000, num=3, endpoint=False) array([ 1., 10., 100.]) >>> np.geomspace(1, 1000, num=4, endpoint=False) array([ 1. , 5.62341325, 31.6227766 , 177.827941 ]) >>> np.geomspace(1, 256, num=9) array([ 1., 2., 4., 8., 16., 32., 64., 128., 256.]) Note that the above may not produce exact integers: >>> np.geomspace(1, 256, num=9, dtype=int) array([ 1, 2, 4, 7, 16, 32, 63, 127, 256]) >>> np.around(np.geomspace(1, 256, num=9)).astype(int) array([ 1, 2, 4, 8, 16, 32, 64, 128, 256]) Negative, decreasing, and complex inputs are allowed: >>> np.geomspace(1000, 1, num=4) array([1000., 100., 10., 1.]) >>> np.geomspace(-1000, -1, num=4) array([-1000., -100., -10., -1.]) >>> np.geomspace(1j, 1000j, num=4) # Straight line array([0. +1.j, 0. +10.j, 0. +100.j, 0.+1000.j]) >>> np.geomspace(-1+0j, 1+0j, num=5) # Circle array([-1.00000000e+00+1.22464680e-16j, -7.07106781e-01+7.07106781e-01j, 6.12323400e-17+1.00000000e+00j, 7.07106781e-01+7.07106781e-01j, 1.00000000e+00+0.00000000e+00j]) Graphical illustration of `endpoint` parameter: >>> import matplotlib.pyplot as plt >>> N = 10 >>> y = np.zeros(N) >>> plt.semilogx(np.geomspace(1, 1000, N, endpoint=True), y + 1, 'o') [<matplotlib.lines.Line2D object at 0x...>] >>> plt.semilogx(np.geomspace(1, 1000, N, endpoint=False), y + 2, 'o') [<matplotlib.lines.Line2D object at 0x...>] >>> plt.axis([0.5, 2000, 0, 3]) [0.5, 2000, 0, 3] >>> plt.grid(True, color='0.7', linestyle='-', which='both', axis='both') >>> plt.show() r z&Geometric sequence cannot include zeror NTr g y �?r )r �wherer, )r r r* r r F)r r" r# r r r! Zzerosr r& Zones� broadcast�shaper% Zcomplexfloating�real�imag�sign�negativeZlog10r r$ ) r r r r r r r' Zout_signZall_imagZ both_negativeZ log_startZlog_stop�resultr r r r sF g � r c C s8 d}t | tjtjtf�r dS t | t�r4| j|@ r4dS dS )z� Returns true if the only way to set the docstring of `obj` from python is via add_docstring. This function errs on the side of being overly conservative. i FT)� isinstance�types� FunctionType� MethodType�property�type� __flags__)�objZPy_TPFLAGS_HEAPTYPEr r r �_needs_add_docstring� s r> c C sH |r"t | �s"tjd�| �tdd� zt| |� W n tyB Y n0 d S )Nz[add_newdoc was used on a pure-python object {}. Prefer to attach it directly to the source.� )� stacklevel)r> �warnings�warn�format� UserWarningr � Exception)r= �doc�warn_on_pythonr r r �_add_docstring� s �� rH c C s� t t| t� i |g�|�}t|t�r4t||�� |� nXt|t�r^|\}}tt ||�|�� |� n.t|t�r�|D ] \}}tt ||�|�� |� qldS )a Add documentation to an existing object, typically one defined in C The purpose is to allow easier editing of the docstrings without requiring a re-compile. This exists primarily for internal use within numpy itself. Parameters ---------- place : str The absolute name of the module to import from obj : str The name of the object to add documentation to, typically a class or function name doc : {str, Tuple[str, str], List[Tuple[str, str]]} If a string, the documentation to apply to `obj` If a tuple, then the first element is interpreted as an attribute of `obj` and the second as the docstring to apply - ``(method, docstring)`` If a list, then each element of the list should be a tuple of length two - ``[(method1, docstring1), (method2, docstring2), ...]`` warn_on_python : bool If True, the default, emit `UserWarning` if this is used to attach documentation to a pure-python object. Notes ----- This routine never raises an error if the docstring can't be written, but will raise an error if the object being documented does not exist. This routine cannot modify read-only docstrings, as appear in new-style classes or built-in functions. Because this routine never raises an error the caller must check manually that the docstrings were changed. Since this function grabs the ``char *`` from a c-level str object and puts it into the ``tp_doc`` slot of the type of `obj`, it violates a number of C-API best-practices, by: - modifying a `PyTypeObject` after calling `PyType_Ready` - calling `Py_INCREF` on the str and losing the reference, so the str will never be released If possible it should be avoided. N) �getattr� __import__�globalsr6 �strrH �strip�tuple�list)Zplacer= rF rG �new�attrZ docstringr r r � add_newdoc� s . rR )NNNNN)r TFNr )NNNNN)r Tr, Nr )NNNN)r TNr )T)� functoolsrA r r7 � r r" r r r r Znumpy.core.multiarrayr Z numpy.corer �__all__�partialZarray_function_dispatchr r r+ r r- r r> rH rR r r r r �<module> sF � � � � � a �
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