a Sicd@sdZddlZddlZddlZddlZddlmZmZddl m Z m Z m Z m Z mZmZmZmZmZmZmZddlmZmZGdddZGdd d eZGd d d eZGd d d eZGdddeZGdddeZGdddeZGdddeZGdddeZ GdddeZ!GdddeZ"GdddeZ#GdddeZ$Gd d!d!eZ%Gd"d#d#eZ&Gd$d%d%eZ'Gd&d'd'eZ(eee"e%e(eed(Z)d)d*Z*d+d,Z+e+jre+jd-d.,e-e.e*ie+_d/d0Z/d1d2Z0ej1j2d3d.,d4d5e*De03d6dS)7a Scales define the distribution of data values on an axis, e.g. a log scaling. They are defined as subclasses of `ScaleBase`. See also `.axes.Axes.set_xscale` and the scales examples in the documentation. See :doc:`/gallery/scales/custom_scale` for a full example of defining a custom scale. Matplotlib also supports non-separable transformations that operate on both `~.axis.Axis` at the same time. They are known as projections, and defined in `matplotlib.projections`. N)_api _docstring) NullFormatterScalarFormatterLogFormatterSciNotationLogitFormatter NullLocator LogLocator AutoLocatorAutoMinorLocatorSymmetricalLogLocator AsinhLocator LogitLocator) TransformIdentityTransformc@s0eZdZdZddZddZddZdd Zd S) ScaleBasea The base class for all scales. Scales are separable transformations, working on a single dimension. Subclasses should override :attr:`name` The scale's name. :meth:`get_transform` A method returning a `.Transform`, which converts data coordinates to scaled coordinates. This transform should be invertible, so that e.g. mouse positions can be converted back to data coordinates. :meth:`set_default_locators_and_formatters` A method that sets default locators and formatters for an `~.axis.Axis` that uses this scale. :meth:`limit_range_for_scale` An optional method that "fixes" the axis range to acceptable values, e.g. restricting log-scaled axes to positive values. cCsdS)a Construct a new scale. Notes ----- The following note is for scale implementors. For back-compatibility reasons, scales take an `~matplotlib.axis.Axis` object as first argument. However, this argument should not be used: a single scale object should be usable by multiple `~matplotlib.axis.Axis`\es at the same time. NselfaxisrrL/var/www/html/django/DPS/env/lib/python3.9/site-packages/matplotlib/scale.py__init__3szScaleBase.__init__cCs tdS)zL Return the `.Transform` object associated with this scale. NNotImplementedErrorrrrr get_transformAszScaleBase.get_transformcCs tdS)zi Set the locators and formatters of *axis* to instances suitable for this scale. Nrrrrr#set_default_locators_and_formattersGsz-ScaleBase.set_default_locators_and_formatterscCs||fS)z Return the range *vmin*, *vmax*, restricted to the domain supported by this scale (if any). *minpos* should be the minimum positive value in the data. This is used by log scales to determine a minimum value. rrvminvmaxZminposrrrlimit_range_for_scaleNszScaleBase.limit_range_for_scaleN)__name__ __module__ __qualname____doc__rrrr rrrrrs rc@s,eZdZdZdZddZddZddZd S) LinearScalez# The default linear scale. linearcCsdS)z Nrrrrrr`szLinearScale.__init__cCsj|t|t|t|jdkr8tjdsL|jdkrZtjdrZ| t n | t dSNxzxtick.minor.visibleyzytick.minor.visible set_major_locatorr set_major_formatterrset_minor_formatterr axis_namemplrcParamsset_minor_locatorr rrrrrrgs   z/LinearScale.set_default_locators_and_formatterscCstS)z Return the transform for linear scaling, which is just the `~matplotlib.transforms.IdentityTransform`. )rrrrrrsszLinearScale.get_transformN)r!r"r#r$namerrrrrrrr%Ys  r%cs8eZdZdZdZZfddZddZddZZ S) FuncTransformzi A simple transform that takes and arbitrary function for the forward and inverse transform. cs4tt|r(t|r(||_||_ntddS)a Parameters ---------- forward : callable The forward function for the transform. This function must have an inverse and, for best behavior, be monotonic. It must have the signature:: def forward(values: array-like) -> array-like inverse : callable The inverse of the forward function. Signature as ``forward``. z,arguments to FuncTransform must be functionsN)superrcallable_forward_inverse ValueError)rforwardinverse __class__rrrs  zFuncTransform.__init__cCs ||SN)r7)rvaluesrrrtransform_non_affinesz"FuncTransform.transform_non_affinecCst|j|jSr>)r3r8r7rrrrinvertedszFuncTransform.inverted r!r"r#r$ input_dims output_dimsrr@rA __classcell__rrr<rr3{s  r3c@s,eZdZdZdZddZddZddZd S) FuncScalezN Provide an arbitrary scale with user-supplied function for the axis. functioncCs|\}}t||}||_dS)a Parameters ---------- axis : `~matplotlib.axis.Axis` The axis for the scale. functions : (callable, callable) two-tuple of the forward and inverse functions for the scale. The forward function must be monotonic. Both functions must have the signature:: def forward(values: array-like) -> array-like N)r3 _transform)rr functionsr:r; transformrrrrs zFuncScale.__init__cCs|jS)z7Return the `.FuncTransform` associated with this scale.rHrrrrrszFuncScale.get_transformcCsj|t|t|t|jdkr8tjdsL|jdkrZtjdrZ| t n | t dSr'r*rrrrrs   z-FuncScale.set_default_locators_and_formattersN)r!r"r#r$r2rrrrrrrrFs rFcs>eZdZdZZd fdd ZddZddZd d ZZ S) LogTransformr4clipcsBt|dks|dkr"td||_tjddd|d|_dS)Nrr4z#The log base cannot be <= 0 or == 1TFrMmask nonpositive)r5rr9baser check_getitem_clip)rrRrQr<rrrs  zLogTransform.__init__cCs dt|j|j|jrdndS)Nz{}(base={}, nonpositive={!r})rMrO)formattyper!rRrTrrrr__str__szLogTransform.__str__cCstjdddjtjtjdtjdtji|j}|r>||}nt|}|t|j}|jrjd||dk<Wdn1s~0Y|S)Nignoredivideinvalid r) nperrstateeloglog2log10getrRrT)rarboutrrrr@s    *z!LogTransform.transform_non_affinecCs t|jSr>)InvertedLogTransformrRrrrrrAszLogTransform.inverted)rM r!r"r#rCrDrrWr@rArErrr<rrLs rLcs<eZdZdZZfddZddZddZdd ZZ S) rhr4cst||_dSr>)r5rrR)rrRr<rrrs zInvertedLogTransform.__init__cCsdt|j|jS)Nz {}(base={}))rUrVr!rRrrrrrWszInvertedLogTransform.__str__cCst|j|Sr>)r_powerrRrrfrrrr@sz)InvertedLogTransform.transform_non_affinecCs t|jSr>)rLrRrrrrrAszInvertedLogTransform.invertedrirrr<rrhs  rhc@sJeZdZdZdZddddddZed d Zd d Zd dZ ddZ dS)LogScalezT A standard logarithmic scale. Care is taken to only plot positive values. rbr]NrM)rRsubsrQcCst|||_||_dS)a Parameters ---------- axis : `~matplotlib.axis.Axis` The axis for the scale. base : float, default: 10 The base of the logarithm. nonpositive : {'clip', 'mask'}, default: 'clip' Determines the behavior for non-positive values. They can either be masked as invalid, or clipped to a very small positive number. subs : sequence of int, default: None Where to place the subticks between each major tick. For example, in a log10 scale, ``[2, 3, 4, 5, 6, 7, 8, 9]`` will place 8 logarithmically spaced minor ticks between each major tick. N)rLrHrm)rrrRrmrQrrrr s zLogScale.__init__cCs|jjSr>rHrRrrrrzLogScale.cCsR|t|j|t|j|t|j|j|t|j|jduddS)N)Z labelOnlyBase)r+r rRr,rr1rmr-rrrrrsz,LogScale.set_default_locators_and_formatterscCs|jS)z6Return the `.LogTransform` associated with this scale.rKrrrrr'szLogScale.get_transformcCs.t|sd}|dkr|n||dkr(|n|fS)z$Limit the domain to positive values.gYnrr_isfiniterrrrr +s  zLogScale.limit_range_for_scale) r!r"r#r$r2rpropertyrRrrr rrrrrls  rlc@s2eZdZdZdZd ddZeddZdd Zd S) FuncScaleLogzu Provide an arbitrary scale with user-supplied function for the axis and then put on a logarithmic axes. functionlogr]cCs&|\}}d|_t||t||_dS)a Parameters ---------- axis : `matplotlib.axis.Axis` The axis for the scale. functions : (callable, callable) two-tuple of the forward and inverse functions for the scale. The forward function must be monotonic. Both functions must have the signature:: def forward(values: array-like) -> array-like base : float, default: 10 Logarithmic base of the scale. N)rmr3rLrH)rrrIrRr:r;rrrr<szFuncScaleLog.__init__cCs |jjjSr>)rH_brRrrrrrRQszFuncScaleLog.basecCs|jS)z3Return the `.Transform` associated with this scale.rKrrrrrUszFuncScaleLog.get_transformN)r]) r!r"r#r$r2rrsrRrrrrrrt4s   rtcs4eZdZdZZfddZddZddZZS)SymmetricalLogTransformr4cspt|dkrtd|dkr*td|dkr:td||_||_||_|d|jd|_t||_ dS)N?z'base' must be larger than 1z'linthresh' must be positivez'linscale' must be positive) r5rr9rR linthreshlinscale _linscale_adjr_rb _log_base)rrRr{r|r<rrr]s z SymmetricalLogTransform.__init__cCst|}tjdddFt||j|jt||j|j}||jk}Wdn1sd0Y|||j||<|SNrXrY)r_absr`signr{r}rbr~rrfZabs_arginsiderrrr@ks (z,SymmetricalLogTransform.transform_non_affinecCst|j|j|jSr>)InvertedSymmetricalLogTransformrRr{r|rrrrrAus z SymmetricalLogTransform.inverted r!r"r#rCrDrr@rArErrr<rrwZs  rwcs4eZdZdZZfddZddZddZZS)rr4csLtt|||}||_||_|||_||_|d|jd|_dS)Nrxrz) r5rrwrRr{rJ invlinthreshr|r})rrRr{r|symlogr<rrr}s   z(InvertedSymmetricalLogTransform.__init__cCst|}tjdddDt||jt|j||j|j}||jk}Wdn1sb0Y|||j||<|Sr) r_rr`rr{rjrRr}rrrrrr@s (z4InvertedSymmetricalLogTransform.transform_non_affinecCst|j|j|jSr>)rwrRr{r|rrrrrAsz(InvertedSymmetricalLogTransform.invertedrrrr<rrzs  rc@s\eZdZdZdZddddddd Zed d Zed d Zed d Z ddZ ddZ dS)SymmetricalLogScalea The symmetrical logarithmic scale is logarithmic in both the positive and negative directions from the origin. Since the values close to zero tend toward infinity, there is a need to have a range around zero that is linear. The parameter *linthresh* allows the user to specify the size of this range (-*linthresh*, *linthresh*). Parameters ---------- base : float, default: 10 The base of the logarithm. linthresh : float, default: 2 Defines the range ``(-x, x)``, within which the plot is linear. This avoids having the plot go to infinity around zero. subs : sequence of int Where to place the subticks between each major tick. For example, in a log10 scale: ``[2, 3, 4, 5, 6, 7, 8, 9]`` will place 8 logarithmically spaced minor ticks between each major tick. linscale : float, optional This allows the linear range ``(-linthresh, linthresh)`` to be stretched relative to the logarithmic range. Its value is the number of decades to use for each half of the linear range. For example, when *linscale* == 1.0 (the default), the space used for the positive and negative halves of the linear range will be equal to one decade in the logarithmic range. rr]r\Nr4)rRr{rmr|cCst||||_||_dSr>)rwrHrm)rrrRr{rmr|rrrrszSymmetricalLogScale.__init__cCs|jjSr>rnrrrrrorpzSymmetricalLogScale.cCs|jjSr>)rHr{rrrrrorpcCs|jjSr>)rHr|rrrrrorpcCsH|t||t|j|t||j|t dSr>) r+r rr,rrRr1rmr-rrrrrrs  z7SymmetricalLogScale.set_default_locators_and_formatterscCs|jS)zAReturn the `.SymmetricalLogTransform` associated with this scale.rKrrrrrsz!SymmetricalLogScale.get_transform) r!r"r#r$r2rrsrRr{r|rrrrrrrs   rcs8eZdZdZdZZfddZddZddZZ S) AsinhTransformz)rr_arcsinhrkrrrr@sz#AsinhTransform.transform_non_affinecCs t|jSr>)InvertedAsinhTransformrrrrrrAszAsinhTransform.invertedrBrrr<rrs  rcs8eZdZdZdZZfddZddZddZZ S) rz4Hyperbolic sine transformation used by `.AsinhScale`r4cst||_dSr>)r5rrrr<rrrs zInvertedAsinhTransform.__init__cCs|jt||jSr>)rr_sinhrkrrrr@sz+InvertedAsinhTransform.transform_non_affinecCs t|jSr>)rrrrrrrAszInvertedAsinhTransform.invertedrBrrr<rrs  rc s`eZdZdZdZddddddddd Zd d d d fdd ZeddZddZ ddZ Z S) AsinhScalea A quasi-logarithmic scale based on the inverse hyperbolic sine (asinh) For values close to zero, this is essentially a linear scale, but for large magnitude values (either positive or negative) it is asymptotically logarithmic. The transition between these linear and logarithmic regimes is smooth, and has no discontinuities in the function gradient in contrast to the `.SymmetricalLogScale` ("symlog") scale. Specifically, the transformation of an axis coordinate :math:`a` is :math:`a \rightarrow a_0 \sinh^{-1} (a / a_0)` where :math:`a_0` is the effective width of the linear region of the transformation. In that region, the transformation is :math:`a \rightarrow a + \mathcal{O}(a^3)`. For large values of :math:`a` the transformation behaves as :math:`a \rightarrow a_0 \, \mathrm{sgn}(a) \ln |a| + \mathcal{O}(1)`. .. note:: This API is provisional and may be revised in the future based on early user feedback. asinh)r\)r\)r\)r\r)r)i)rrrr]r@irxr]auto)rrRrmc sDt|t||_t||_|dkr:|j|j|_n||_dS)a  Parameters ---------- linear_width : float, default: 1 The scale parameter (elsewhere referred to as :math:`a_0`) defining the extent of the quasi-linear region, and the coordinate values beyond which the transformation becomes asymptotically logarithmic. base : int, default: 10 The number base used for rounding tick locations on a logarithmic scale. If this is less than one, then rounding is to the nearest integer multiple of powers of ten. subs : sequence of int Multiples of the number base used for minor ticks. If set to 'auto', this will use built-in defaults, e.g. (2, 5) for base=10. rN) r5rrrHint_baseauto_tick_multipliersre_subs)rrrrRrmkwargsr<rrrs    zAsinhScale.__init__cCs|jjSr>)rHrrrrrro/rpzAsinhScale.cCs|jSr>rKrrrrr1szAsinhScale.get_transformcCsZ|jt|j|jdt|j|j|jdtd|jdkrJ|t|jn |dfdS)N)rR)rRrm)Z major_locatorZ minor_locatorZminor_formatterr4z{x:.3g})setr rrrrr,rrrrrr4s  z.AsinhScale.set_default_locators_and_formatters) r!r"r#r$r2rrrsrrrrErrr<rrs"  rcs>eZdZdZZd fdd ZddZddZd d ZZ S) LogitTransformr4rOcs6ttjddg|d||_ddd||_dS)NrOrMrPTFrN)r5rr check_in_list _nonpositiverTrrQr<rrrDs zLogitTransform.__init__cCsbtjddd"t|d|}Wdn1s60Y|jr^d||dk<d|d|k<|S)z,logit transform (base 10), masked or clippedrXrYr4Nr^ri)r_r`rdrT)rrfrgrrrr@Js 0  z#LogitTransform.transform_non_affinecCs t|jSr>)LogisticTransformrrrrrrASszLogitTransform.invertedcCsdt|j|jSNz{}({!r})rUrVr!rrrrrrWVszLogitTransform.__str__)rO r!r"r#rCrDrr@rArWrErrr<rrAs  rcs>eZdZdZZd fdd ZddZddZd d ZZ S) rr4rOcst||_dSr>)r5rrrr<rrr]s zLogisticTransform.__init__cCsddd| S)zlogistic transform (base 10)rxr4r]rrkrrrr@asz&LogisticTransform.transform_non_affinecCs t|jSr>)rrrrrrrAeszLogisticTransform.invertedcCsdt|j|jSrrrrrrrWhszLogisticTransform.__str__)rOrrrr<rrZs rc@s>eZdZdZdZddddddZd d Zd d Zd dZdS) LogitScalez Logit scale for data between zero and one, both excluded. This scale is similar to a log scale close to zero and to one, and almost linear around 0.5. It maps the interval ]0, 1[ onto ]-infty, +infty[. logitrOz \frac{1}{2}Fone_half use_overlinecCst||_||_||_dS)a Parameters ---------- axis : `matplotlib.axis.Axis` Currently unused. nonpositive : {'mask', 'clip'} Determines the behavior for values beyond the open interval ]0, 1[. They can either be masked as invalid, or clipped to a number very close to 0 or 1. use_overline : bool, default: False Indicate the usage of survival notation (\overline{x}) in place of standard notation (1-x) for probability close to one. one_half : str, default: r"\frac{1}{2}" The string used for ticks formatter to represent 1/2. N)rrH _use_overline _one_half)rrrQrrrrrrus zLogitScale.__init__cCs|jS)z8Return the `.LogitTransform` associated with this scale.rKrrrrrszLogitScale.get_transformcCsN|t|t|j|jd|tdd|td|j|jddS)NrT)minor)rrr)r+rr,rrrr1r-rrrrrs z.LogitScale.set_default_locators_and_formatterscCs2t|sd}|dkr|n||dkr,d|n|fS)zH Limit the domain to values between 0 and 1 (excluded). gHz>rr4rqrrrrr s  z LogitScale.limit_range_for_scaleN)rO) r!r"r#r$r2rrrr rrrrrls r)r&rbrrrrGrucCsttS)z)Return the names of the available scales.)sorted_scale_mappingrrrrget_scale_namessrcKs@||kr"tjddd|}tjt|d}||fi|S)z Return a scale class by name. Parameters ---------- scale : {%(names)s} axis : `matplotlib.axis.Axis` z3.5zjSupport for case-insensitive scales is deprecated since %(since)s and support will be removed %(removal)s.)message)scale)lowerrwarn_deprecatedrSr)rrr scale_clsrrr scale_factorys rnamesz, cCs|t|j<dS)z Register a new kind of scale. Parameters ---------- scale_class : subclass of `ScaleBase` The scale to register. N)rr2) scale_classrrrregister_scales rc CsPg}tD]8\}}t|jp"d}|d|dt|ddgq d|S)zF Helper function for generating docstrings related to scales. z z  ) ritemsinspectgetdocrextendtextwrapindentjoin)docsr2r docstringrrr_get_scale_docss rz{%s}cCsg|] }t|qSr)repr).0r(rrr rpr) scale_typeZ scale_docs)4r$rrnumpyr_ matplotlibr/rrZmatplotlib.tickerrrrrrr r r r r rZmatplotlib.transformsrrrr%r3rFrLrhrlrtrwrrrrrrrrrrrrmaprrrinterpdupdaterstriprrrrsX4<"$*)1& 7T@