h,i `SrSSKrSSKrSSKrSSKrSSKJrJr SSK J r J r J r J r JrJrJrJrJrJrJr SSKJrJr "SS5r"SS \5r"S S \5r"S S \5r"SS\5r"SS\5r"SS\5r"SS\5r"SS\5r "SS\5r!"SS\5r""SS\5r#"SS\5r$"S S!\5r%"S"S#\5r&"S$S%\5r'"S&S'\5r(\\\"\%\(\\S(.r)S)r*S*r+\+R(a1\+RS+S,RY\-"\.\*"5550-\+lS-r/S.r0\RbReS/S,RY\*"5Vs/sH n\."U5PM sn5-\0"5Rg5S09 gs snf)1a Scales define the distribution of data values on an axis, e.g. a log scaling. The mapping is implemented through `.Transform` subclasses. The following scales are built-in: .. _builtin_scales: ============= ===================== ================================ ================================= Name Class Transform Inverted transform ============= ===================== ================================ ================================= "asinh" `AsinhScale` `AsinhTransform` `InvertedAsinhTransform` "function" `FuncScale` `FuncTransform` `FuncTransform` "functionlog" `FuncScaleLog` `FuncTransform` + `LogTransform` `InvertedLogTransform` + `FuncTransform` "linear" `LinearScale` `.IdentityTransform` `.IdentityTransform` "log" `LogScale` `LogTransform` `InvertedLogTransform` "logit" `LogitScale` `LogitTransform` `LogisticTransform` "symlog" `SymmetricalLogScale` `SymmetricalLogTransform` `InvertedSymmetricalLogTransform` ============= ===================== ================================ ================================= A user will often only use the scale name, e.g. when setting the scale through `~.Axes.set_xscale`: ``ax.set_xscale("log")``. See also the :ref:`scales examples ` in the documentation. Custom scaling can be achieved through `FuncScale`, or by creating your own `ScaleBase` subclass and corresponding transforms (see :doc:`/gallery/scales/custom_scale`). Third parties can register their scales by name through `register_scale`. N)_api _docstring) NullFormatterScalarFormatterLogFormatterSciNotationLogitFormatter NullLocator LogLocator AutoLocatorAutoMinorLocatorSymmetricalLogLocator AsinhLocator LogitLocator) TransformIdentityTransformc0\rSrSrSrSrSrSrSrSr g) ScaleBase.a 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. cg)aA Construct a new scale. Notes ----- The following note is for scale implementers. 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. Nselfaxiss B/var/www/html/env/lib/python3.13/site-packages/matplotlib/scale.py__init__ScaleBase.__init__Dc[5e)z< Return the `.Transform` object associated with this scale. NotImplementedErrorrs r get_transformScaleBase.get_transformRs "##rc[5e)zQ Set the locators and formatters of *axis* to instances suitable for this scale. r rs r#set_default_locators_and_formatters-ScaleBase.set_default_locators_and_formattersXs "##rcX4$)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. rrvminvmaxminposs rlimit_range_for_scaleScaleBase.limit_range_for_scale_s zrrN) __name__ __module__ __qualname____firstlineno____doc__rr#r&r-__static_attributes__rrrrr.s*  $ $rrc.\rSrSrSrSrSrSrSrSr g) LinearScalejz The default linear scale. linearcg)z Nrrs rrLinearScale.__init__qrrcUR[55 UR[55 UR [ 55 UR S:Xa[RS(d(UR S:Xa2[RS(aUR[55 gUR[55 gNxzxtick.minor.visibleyzytick.minor.visible set_major_locatorr set_major_formatterrset_minor_formatterr axis_namemplrcParamsset_minor_locatorr r rs rr&/LinearScale.set_default_locators_and_formattersx {}-   !23   1 NNc !cll3H&I#%#,,7L*M  " "#3#5 6  " ";= 1rc[5$)zh Return the transform for linear scaling, which is just the `~matplotlib.transforms.IdentityTransform`. )rr"s rr#LinearScale.get_transforms !""rrN) r/r0r1r2r3namerr&r#r4rrrr6r6js D  2#rr6c@^\rSrSrSrS=rrU4SjrSrSr Sr U=r $) FuncTransformz] A simple transform that takes and arbitrary function for the forward and inverse transform. c>[TU]5 [U5(a[U5(a XlX lg[ S5e)aS Parameters ---------- forward : callable The forward function for the transform. This function must have an inverse and, for best behavior, be monotonic. It must have the signature:: def forward(values: array-like) -> array-like inverse : callable The inverse of the forward function. Signature as ``forward``. z,arguments to FuncTransform must be functionsN)superrcallable_forward_inverse ValueError)rforwardinverse __class__s rrFuncTransform.__init__s;  G  '!2!2#M#MKL Lrc$URU5$N)rSrvaluess rtransform_non_affine"FuncTransform.transform_non_affines}}V$$rcB[URUR5$r[)rMrTrSr"s rinvertedFuncTransform.invertedsT]]DMM::r)rSrT r/r0r1r2r3 input_dims output_dimsrr^rar4 __classcell__rXs@rrMrMs) ! JM*%;;rrMc.\rSrSrSrSrSrSrSrSr g) FuncScalezF Provide an arbitrary scale with user-supplied function for the axis. functionc.Uup4[X45nXPlg)aE Parameters ---------- axis : `~matplotlib.axis.Axis` The axis for the scale. functions : (callable, callable) two-tuple of the forward and inverse functions for the scale. The forward function must be monotonic. Both functions must have the signature:: def forward(values: array-like) -> array-like N)rM _transform)rr functionsrVrW transforms rrFuncScale.__init__s%!'3 #rcUR$)z7Return the `.FuncTransform` associated with this scale.rmr"s rr#FuncScale.get_transform rcUR[55 UR[55 UR [ 55 UR S:Xa[RS(d(UR S:Xa2[RS(aUR[55 gUR[55 gr<r?rs rr&-FuncScale.set_default_locators_and_formattersrHrrrN) r/r0r1r2r3rKrr#r&r4rrrriris D$$ 2rricF^\rSrSrS=rrSU4SjjrSrSrSr Sr U=r $) LogTransformrOc>[TU]5 US::dUS:Xa [S5eXl[R "SSS.US9Ulg)NrrOz#The log base cannot be <= 0 or == 1TFclipmask nonpositive)rQrrUbaser check_getitem_clip)rrrrXs rrLogTransform.__init__sI  19 BC C ''5 ){D rcSR[U5RURUR(aS5$S5$)Nz{}(base={}, nonpositive={!r})r|r})formattyper/rrr"s r__str__LogTransform.__str__sA.55 J  djjFN NFLN Nrc[R"SSS9 [R[RS[RS[R 0R UR5nU(a U"U5nO9[R"U5nU[R"UR5-nUR(aSX1S:*'SSS5 U$!,(df  W$=f)Nignoredivideinvalid r) nperrstateeloglog2log10getrr)rr]routs rr^!LogTransform.transform_non_affines [[( ;44BGGR:>>tyyIC&kffVnrvvdii((zz$)aK #<$ %< ;$ s B;C C*c,[UR5$r[)InvertedLogTransformrr"s rraLogTransform.inverteds#DII..r)rr)r| r/r0r1r2rdrerrr^rar4rfrgs@rrxrxs(  JDN,//rrxcB^\rSrSrS=rrU4SjrSrSrSr Sr U=r $)rirOc.>[TU]5 Xlgr[)rQrr)rrrXs rrInvertedLogTransform.__init__s  rcL[U5RSURS3$)Nz(base=))rr/rr"s rrInvertedLogTransform.__str__ s$t*%%&fTYYKq99rcD[R"URU5$r[)rpowerrr\s rr^)InvertedLogTransform.transform_non_affine sxx 6**rc,[UR5$r[)rxrr"s rraInvertedLogTransform.invertedsDII&&rrrrgs@rrrs&  J:+''rrcR\rSrSrSrSrSSSS.Sjr\"S 5rS r S r S r S r g)LogScaleizL A standard logarithmic scale. Care is taken to only plot positive values. rrNr|)rsubsrc0[X$5UlX0lg)a3 Parameters ---------- axis : `~matplotlib.axis.Axis` The axis for the scale. base : float, default: 10 The base of the logarithm. nonpositive : {'clip', 'mask'}, default: 'clip' Determines the behavior for non-positive values. They can either be masked as invalid, or clipped to a very small positive number. subs : sequence of int, default: None Where to place the subticks between each major tick. For example, in a log10 scale, ``[2, 3, 4, 5, 6, 7, 8, 9]`` will place 8 logarithmically spaced minor ticks between each major tick. N)rxrmr)rrrrrs rrLogScale.__init__s 't9 rc.URR$r[rmrr"s rLogScale.-!5!5rcPUR[UR55 UR[ UR55 UR [URUR 55 UR[ URUR SLS95 g)N) labelOnlyBase)r@r rrArrFrrBrs rr&,LogScale.set_default_locators_and_formatters/sx z$))45   !8!CD z$))TYY?@   #DII3799D3H K LrcUR$)z6Return the `.LogTransform` associated with this scale.rrr"s rr#LogScale.get_transform8rtrcf[R"U5(dSnUS::aUOUUS::aU4$U4$)z$Limit the domain to positive values.gYnrrisfiniter)s rr-LogScale.limit_range_for_scale<sA{{6""F!)!)/ /)-/ /rrmr) r/r0r1r2r3rKrpropertyrr&r#r-r4rrrrrs7 D%'d& 5 6DL/rrc<\rSrSrSrSrS Sjr\S5rSr Sr g) FuncScaleLogiEzi Provide an arbitrary scale with user-supplied function for the axis and then put on a logarithmic axes. functionlogcRUupESUl[XE5[U5-Ulg)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)rrMrxrm)rrrnrrVrWs rrFuncScaleLog.__init__Ms)"% '9L[TU]5 US::a [S5eUS::a [S5eUS::a [S5eXlX lX0lUSURS-- - Ul[R"U5Ul g)N?z'base' must be larger than 1z'linthresh' must be positivez'linscale' must be positive) rQrrUr linthreshlinscale _linscale_adjrr _log_base)rrrrrXs rr SymmetricalLogTransform.__init__ns  3;;< <  ;< < s?:; ; " &# R*?@rc[R"U5n[R"SSS9 [R"U5UR-UR [R "X R- 5UR- --nX R:*nSSS5 UWUR -WU'U$!,(df  N%=fNrr)rabsrsignrrrrrr]abs_arinsides rr^,SymmetricalLogTransform.transform_non_affine|sv [[( ;''&/DNN2""u~~-.?@ACnn,F < Vnt'9'99F  < ;s A/B:: CcX[URURUR5$r[)InvertedSymmetricalLogTransformrrrr"s rra SymmetricalLogTransform.inverteds".tyy$../3}}> >r)rrrrr r/r0r1r2rdrerr^rar4rfrgs@rrrks!  J &>>rrc<^\rSrSrS=rrU4SjrSrSrSr U=r $)rirOc>[TU]5 [XU5nXlX lUR U5UlX0lUSURS-- - Ulg)Nrr) rQrrrrro invlinthreshrr)rrrrsymlogrXs rr(InvertedSymmetricalLogTransform.__init__sV ((C "",,Y7 &# R*?@rc[R"U5n[R"SSS9 [R"U5UR-[R "UR X R- UR- 5-nX R:*nSSS5 UWUR- WU'U$!,(df  N%=fr) rrrrrrrrrrs rr^4InvertedSymmetricalLogTransform.transform_non_affinesv [[( ;''&/DNN2/$2D2DDFGC///F < Vnt'9'99F  < ;s A-B88 CcX[URURUR5$r[)rrrrr"s rra(InvertedSymmetricalLogTransform.inverteds$&tyy'+~~t}}F Fr)rrrrrrrgs@rrrs$  JBFFrrcr\rSrSrSrSrSSSSS.S jr\"S 5r\"S 5r \"S 5r S r Sr Sr g)SymmetricalLogScaleia 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*). See :doc:`/gallery/scales/symlog_demo` for a detailed description. 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. rrrNrO)rrrrc2[X#U5UlX@lgr[)rrmr)rrrrrrs rrSymmetricalLogScale.__init__s1$8L rc.URR$r[rr"s rrSymmetricalLogScale.rrc.URR$r[)rmrr"s rrrsdoo&?&?rc.URR$r[)rmrr"s rrrsT__%=%=rc4UR[UR555 UR[ UR 55 UR [UR5UR55 UR[55 gr[) r@r r#rArrrFrrBrrs rr&7SymmetricalLogScale.set_default_locators_and_formatterssq 4T5G5G5IJK   !8!CD 4T5G5G5I59YY @ A   1rcUR$)zAReturn the `.SymmetricalLogTransform` associated with this scale.rrr"s rr#!SymmetricalLogScale.get_transformrtrr)r/r0r1r2r3rKrrrrrr&r#r4rrrrrsJ B D%'14! 5 6D?@I=>H2rrc@^\rSrSrSrS=rrU4SjrSrSr Sr U=r $)AsinhTransformiz[TU]5 US::a [S5eXlg)Nrz8Scale parameter 'linear_width' must be strictly positive)rQrrU linear_widthrrrXs rrAsinhTransform.__init__s.  3 9: :(rc`UR[R"XR- 5-$r[)rrarcsinhr\s rr^#AsinhTransform.transform_non_affines%  2::f7H7H.H#IIIrc,[UR5$r[)InvertedAsinhTransformrr"s rraAsinhTransform.inverteds%d&7&788rrrcrgs@rrrs%F  J)J99rrc@^\rSrSrSrS=rrU4SjrSrSr Sr U=r $)riz4Hyperbolic sine transformation used by `.AsinhScale`rOc.>[TU]5 Xlgr[)rQrrrs rrInvertedAsinhTransform.__init__s (rc`UR[R"XR- 5-$r[)rrsinhr\s rr^+InvertedAsinhTransform.transform_non_affines%  27764E4E+E#FFFrc,[UR5$r[)rrr"s rraInvertedAsinhTransform.invertedd//00rrrcrgs@rrrs%>  J)G11rrc p^\rSrSrSrSrSSSSSSSS S .rS S S S.U4Sjjr\"S5r Sr Sr Sr U=r $) AsinhScalea A quasi-logarithmic scale based on the inverse hyperbolic sine (asinh) For values close to zero, this is essentially a linear scale, but for large magnitude values (either positive or negative) it is asymptotically logarithmic. The transition between these linear and logarithmic regimes is smooth, and has no discontinuities in the function gradient in contrast to the `.SymmetricalLogScale` ("symlog") scale. Specifically, the transformation of an axis coordinate :math:`a` is :math:`a \rightarrow a_0 \sinh^{-1} (a / a_0)` where :math:`a_0` is the effective width of the linear region of the transformation. In that region, the transformation is :math:`a \rightarrow a + \mathcal{O}(a^3)`. For large values of :math:`a` the transformation behaves as :math:`a \rightarrow a_0 \, \mathrm{sgn}(a) \ln |a| + \mathcal{O}(1)`. .. note:: This API is provisional and may be revised in the future based on early user feedback. asinh)r)r)r)rr)r)r )rrrrr@irrauto)rrrc >[TU]U5 [U5Ul[ U5UlUS:Xa+UR RUR 5UlgX@lg)a Parameters ---------- linear_width : float, default: 1 The scale parameter (elsewhere referred to as :math:`a_0`) defining the extent of the quasi-linear region, and the coordinate values beyond which the transformation becomes asymptotically logarithmic. base : int, default: 10 The number base used for rounding tick locations on a logarithmic scale. If this is less than one, then rounding is to the nearest integer multiple of powers of ten. subs : sequence of int Multiples of the number base used for minor ticks. If set to 'auto', this will use built-in defaults, e.g. (2, 5) for base=10. rN) rQrrrmint_baseauto_tick_multipliersr_subs)rrrrrkwargsrXs rrAsinhScale.__init__&sQ( (6Y 6>3377 CDJJrc.URR$r[)rmrr"s rrAsinhScale.Bs)E)ErcUR$r[rrr"s rr#AsinhScale.get_transformDs rc HUR[URURS9[URURURS9[ 5S9 URS:a%UR [UR55 gUR S5 g)Nr)rr) major_locator minor_locatorminor_formatterrOz{x:.3g})setrrrrrrArrs rr&.AsinhScale.set_default_locators_and_formattersGs |D,=,=15 =+D,=,=1515 ="/  2 ::>  $ $%[TU]5 [R"SS/US9 XlSSS.UUlg)Nr}r|r~TFr{)rQrr check_in_list _nonpositiverrrrXs rrLogitTransform.__init__Ws:  FF+E'"E2;? rc[R"SSS9 [R"USU- - 5nSSS5 UR(aSWUS:*'SUSU:*'W$!,(df  N1=f)z,logit transform (base 10), masked or clippedrrrONrri)rrrr)rr]rs rr^#LogitTransform.transform_non_affine]s] [[( ;((6QZ01C< ::$C! #CV  < ;s A A,c,[UR5$r[)LogisticTransformr,r"s rraLogitTransform.invertedfs !2!233rcN[U5RSUR<S3$N(rrr/r,r"s rrLogitTransform.__str__i't*%%&a(9(9'>r)rr,r} r/r0r1r2rdrerr^rarr4rfrgs@rr)r)Ts'  J@ 4??rr)cF^\rSrSrS=rrSU4SjjrSrSrSr Sr U=r $) r2imrOc.>[TU]5 Xlgr[)rQrr,r-s rrLogisticTransform.__init__ps 'rcSSSU*--- $)zlogistic transform (base 10)rrOrrr\s rr^&LogisticTransform.transform_non_affinetsa"w-'((rc,[UR5$r[)r)r,r"s rraLogisticTransform.invertedxr rcN[U5RSUR<S3$r5r7r"s rrLogisticTransform.__str__{r9r)r,r:r;rgs@rr2r2ms&  J()1??rr2cB\rSrSrSrSrS SSS.SjjrSrS rS r S r g ) LogitScaleiz Logit scale for data between zero and one, both excluded. This scale is similar to a log scale close to zero and to one, and almost linear around 0.5. It maps the interval ]0, 1[ onto ]-infty, +infty[. logitz \frac{1}{2}Fone_half use_overlinec<[U5UlX@lX0lg)a Parameters ---------- axis : `~matplotlib.axis.Axis` Currently unused. nonpositive : {'mask', 'clip'} Determines the behavior for values beyond the open interval ]0, 1[. They can either be masked as invalid, or clipped to a number very close to 0 or 1. use_overline : bool, default: False Indicate the usage of survival notation (\overline{x}) in place of standard notation (1-x) for probability close to one. one_half : str, default: r"\frac{1}{2}" The string used for ticks formatter to represent 1/2. N)r)rm _use_overline _one_half)rrrrIrJs rrLogitScale.__init__s")5)!rcUR$)z8Return the `.LogitTransform` associated with this scale.rrr"s rr#LogitScale.get_transformrtrcUR[55 UR[URUR S95 UR [SS95 UR[SURUR S95 g)NrHT)minor)rRrIrJ)r@rrArrMrLrFrBrs rr&.LogitScale.set_default_locators_and_formatterssx |~.   !//  |$78   !//  rcl[R"U5(dSnUS::aUOUUS:aSU- 4$U4$)z8 Limit the domain to values between 0 and 1 (excluded). gHz>rrOrr)s rr- LogitScale.limit_range_for_scalesG{{6""F!)"aiF 3 3-13 3r)rMrmrLNr:) r/r0r1r2r3rKrr#r&r-r4rrrrFrFs, D"(u"* &3rrF)r8rrrrGrkrc [[5$)z)Return the names of the available scales.)sorted_scale_mappingrrrget_scale_namesrYs . !!rc F[R"[US9nU"U40UD6$)zi Return a scale class by name. Parameters ---------- scale : {%(names)s} axis : `~matplotlib.axis.Axis` )scale)rrrX)r[rr scale_clss r scale_factoryr]s&"">?I T $V $$rnamesz, c*U[UR'g)zw Register a new kind of scale. Parameters ---------- scale_class : subclass of `ScaleBase` The scale to register. N)rXrK) scale_classs rregister_scaleras(3N;##$rc /n[R5H\up[R"UR5=(d SnUR SU<3S[ R"US5S/5 M^ SRU5$)z> Helper function for generating docstrings related to scales. z z  ) rXitemsinspectgetdocrextendtextwrapindentjoin)docsrKr` docstrings r_get_scale_docsrnsv D+113NN;#7#78>B  4(O  OOIw /    4 99T?rz{%s}) scale_type scale_docs)4r3rfrinumpyr matplotlibrDrrmatplotlib.tickerrrrrr r r r r rrmatplotlib.transformsrrrr6rMrirxrrrrrrrrr r)r2rFrXrYr]rkmapreprrarninterpdregisterrstrip)r=s0rrzs>'7777?99x#)#D!;I!;H'2 '2T&/9&/R'9'"./y./b#8#L>i>@FiF66)6r9Y9$ 1Y 1Q0Q0h?Y?2? ?$<3<3@!" %)113t_%6785::M 3    O4E"F4Eq474E"FGG '')"Fs9F+