h|MNSSKrSSKrSSKrSSKrSSKrSSKJr SSKJ r J r J r J r SSK Jr SSKJr /SQr\R$"\R&SS 9rSS jr\"\5SS j5rSS jr\"\5SS j5rSSjr\"\5SSj5rSrSrSSjrg)N)numeric) result_typeNaN asanyarrayndim) add_docstring) overrides)logspacelinspace geomspacenumpy)modulecX4$N)startstopnumendpointretstepdtypeaxiss R/var/www/fran/franai/venv/lib/python3.13/site-packages/numpy/core/function_base.py_linspace_dispatcherr =c[R"U5nUS:a[SU-5eU(aUS- OUn[U5S-n[U5S-n[ X[ U55nUcUnSn O%[ R"U[ R5n X- n [ R"SX(S9RSS[U 5--5n US:az[ R"U 5n X- n U (aU S:HO&[ R"U S:H5R5nU(aX-n U (aX-n O X-n OU (aX-n OX-n O [n X-n X- n U(a US:aXS 'US:wa[ R"U SU5n U (a[ R "XS 9 U(aU R#USS 9U 4$U R#USS 9$) a 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. :ref:`how-to-partition` 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') [] >>> plt.plot(x2, y + 0.5, 'o') [] >>> plt.ylim([-0.5, 1]) (-0.5, 1) >>> plt.show() rz,Number of samples, %s, must be non-negative.rg?F)r))r)r.)outcopy)operatorindex ValueErrorrrfloat_nx issubdtypeintegerarangereshaperisscalaranyrmoveaxisfloorastype)rrrrrrrdivdt integer_dtypedeltay _mult_inplacestep any_step_zeros rr r sD .. C QwG#MNN37SC u  #E t  #D U%* -B } uckk: LE 1c$,,UTDK5G-GHA Qw U+ {&DAICNN419,E,I,I,K   HA I H IJAC!G'  qy LLAt $ !xxEx*D00xxEx**rc XU4$rr)rrrrbaserrs r_logspace_dispatcherr;s  rc ^[R"XU5RmU4SjXU45upn[XX#US9n[R"XFS9nUc[ R "XG5$[ R "XG5RUSS9$)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. .. versionchanged:: 1.25.0 Non-scalar 'base` is 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, stop, or base 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. :ref:`how-to-partition` Notes ----- If base is a scalar, 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. ]) >>> np.logspace(2.0, 3.0, num=4, base=[2.0, 3.0], axis=-1) array([[ 4. , 5.0396842 , 6.34960421, 8. ], [ 9. , 12.98024613, 18.72075441, 27. ]]) 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') [] >>> plt.plot(x2, y + 0.5, 'o') [] >>> plt.ylim([-0.5, 1]) (-0.5, 1) >>> plt.show() c3R># UHn[R"USSTS9v M g7f)FT)r"subokndminN)nparray).0andmaxs r logspace..#s'$A d%8$s$')rrr)rFr!)r@ broadcastrr expand_dimsr'powerr0) rrrrr:rrr5rDs @rr r sH LLd + 0 0Et$E #tDA >>$ *D }yy!! 99T  $ $U $ 77rcX4$rr)rrrrrrs r_geomspace_dispatcherrK.rrc *[U5n[U5n[R"US:H5(d[R"US:H5(a [S5e[ X[ U5[R "SU55nUcUnO[R"U5nURUSS9nURUSS9n[R"[R"X5RU5n[R"U[R5(a^URS:HURS:H-n[R"U5(a$XRX'XRX'SXx'[R "U5S:H[R "U5S:H-n [R"U 5(a?[R""XU S 9 [R""XU S 9 [R""XwU S 9 [R$"U5n [R$"U5n ['XUUS US 9n US:aX S'US :a U(aXS'X|-n US:wa[R("U SU5n U RUS S9$)aH 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. :ref:`how-to-partition` 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') [] >>> plt.semilogx(np.geomspace(1, 1000, N, endpoint=False), y + 2, 'o') [] >>> 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() rz&Geometric sequence cannot include zerorTr!gy?r)r where$@)rrr:rrF)rr'r-r%rr&zerosrr0onesrGshaper(complexfloatingrealimagsignnegativelog10r r.) rrrrrrr2out_signall_imag both_negative log_startlog_stopresults rr r 3sP u E d D wwuzcggdai00ABB U%*ciiE.B CB } %  LL$L 'E ;;r; %Dxx e288"=H ~~b#--..JJ"$b9 778  #o22EO!^00DN!#H XXe_*sxx~/CDM ww} U]; T=9 X=A % IyyH is'd%AF  Qwq 7x2J  F qyfa. ==U= ++rcSn[U[R[R[45(ag[U[ 5(aUR U-(agg)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. iFT) isinstancetypes FunctionType MethodTypepropertytype __flags__)objPy_TPFLAGS_HEAPTYPEs r_needs_add_docstringrhsL!#**E,<,rs 77/ /$++ %%g7HL*. -.FJ]+/]+@EI*. -.BFl8/l8^GK# ./Z,0Z,z$  6Rr