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� ��L]c @ s� d Z d d l m Z m Z d d l Z d d l m Z d d l m Z m Z m Z d d l m Z d d l m Z d d l Z y e Wn! e k r� d d l m Z n Xd d l m Z e Z e j Z d e f d � � YZ d e f d � � YZ d e f d � � YZ d e f d � � YZ d e f d � � YZ d e f d � � YZ d e f d � � YZ d e f d � � YZ! d e! f d � � YZ" d e! f d � � YZ# d e f d � � YZ$ d e! f d! � � YZ% d" � Z& d# e f d$ � � YZ' d% e! f d& � � YZ( d' � Z) d( e! f d) � � YZ* d* e! f d+ � � YZ+ d, e+ f d- � � YZ, d. e! f d/ � � YZ- d0 e! f d1 � � YZ. d2 e f d3 � � YZ/ d4 d5 e0 d6 � Z1 d7 � Z2 d8 � Z3 e4 d9 d9 d: d; � Z5 d S(< s� matplotlib includes a framework for arbitrary geometric transformations that is used determine the final position of all elements drawn on the canvas. Transforms are composed into trees of :class:`TransformNode` objects whose actual value depends on their children. When the contents of children change, their parents are automatically invalidated. The next time an invalidated transform is accessed, it is recomputed to reflect those changes. This invalidation/caching approach prevents unnecessary recomputations of transforms, and contributes to better interactive performance. For example, here is a graph of the transform tree used to plot data to the graph: .. image:: ../_static/transforms.png The framework can be used for both affine and non-affine transformations. However, for speed, we want use the backend renderers to perform affine transformations whenever possible. Therefore, it is possible to perform just the affine or non-affine part of a transformation on a set of data. The affine is always assumed to occur after the non-affine. For any transform:: full transform == non-affine part + affine part The backends are not expected to handle non-affine transformations themselves. i����( t print_functiont divisionN( t ma( t affine_transformt count_bboxes_overlapping_bboxt update_path_extents( t inv( t WeakValueDictionary( t Set( t Patht TransformNodec B s� e Z d Z d Z d Z d Z e e BZ e Z e Z e Z d d � Z e rX d � Z n d � Z d � Z d � Z e Z d � Z d � Z d � Z e r� e Z d � Z e j e _ n d � Z e r� g d � Z n RS( sE :class:`TransformNode` is the base class for anything that participates in the transform tree and needs to invalidate its parents or be invalidated. This includes classes that are not really transforms, such as bounding boxes, since some transforms depend on bounding boxes to compute their values. i i i c C s( t � | _ d | _ | p d | _ d S( sN Creates a new :class:`TransformNode`. **shorthand_name** - a string representing the "name" of this transform. The name carries no significance other than to improve the readability of ``str(transform)`` when DEBUG=True. i t N( R t _parentst _invalidt _shorthand_name( t selft shorthand_name( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt __init__Q s c C s | j p t | � S( N( R t repr( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt __str__e s c C s, | j j � } t | j j � � | d <| S( NR ( t __dict__t copyt dictR t iteritems( R t d( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt __getstate__i s c C s | | _ t | j � | _ d S( N( R R R ( R t data_dict( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt __setstate__o s c G s t d d � � d S( Ns+ TransformNode instances can not be copied. s Consider using frozen() instead.( t NotImplementedError( R t args( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt __copy__t s c C s1 | j } | j r | j } n | j | d | �S( s� Invalidate this :class:`TransformNode` and triggers an invalidation of its ancestors. Should be called any time the transform changes. t invalidating_node( t INVALIDt is_affinet INVALID_AFFINEt _invalidate_internal( R t value( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt invalidatez s c C s^ | j | k } | j s | rZ | | _ x0 | j j � D] } | j d | d | � q7 Wn d S( s� Called by :meth:`invalidate` and subsequently ascends the transform stack calling each TransformNode's _invalidate_internal method. R$ R N( R t pass_throughR t itervaluesR# ( R R$ R t status_changedt parent( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR# � s c G s( x! | D] } | | j t | � <q Wd S( s� Set the children of the transform, to let the invalidation system know which transforms can invalidate this transform. Should be called from the constructor of any transforms that depend on other transforms. N( R t id( R t childrent child( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt set_children� s c G s | j | � | | _ d S( N( t _set_childrent _children( R R+ ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR- � s c C s | S( s Returns a frozen copy of this transform node. The frozen copy will not update when its children change. Useful for storing a previously known state of a transform where ``copy.deepcopy()`` might normally be used. ( ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt frozen� s c sI t � � � � � � f d � � � j d � � | � � j d � d S( s2 For debugging purposes. Writes the transform tree rooted at 'self' to a graphviz "dot" format file. This file can be run through the "dot" utility to produce a graph of the transform tree. Affine transforms are marked in blue. Bounding boxes are marked in yellow. *fobj*: A Python file-like object Once the "dot" file has been created, it can be turned into a png easily with:: $> dot -Tpng -o $OUTPUT_FILE $DOT_FILE c sa | � k r d S� j | � i } | j j } | j rE d | } n | � k r^ d | d <n d | d <d | | d <d j g | j � D] \ } } d | | f ^ q� � } � j d t | � | f � t | d � r]x� | j D]r } d } x3 | j j � D]" \ } } | | k r | } Pq q W� j d t | � t | � | f � � | � q� Wn d S( Ns [%s]t boldt stylet boxt shapes "%s"t labelt s %s=%ss %s [%s]; R/ t ?s( "%s" -> "%s" [label="%s", fontsize=10]; ( t addt __class__t __name__R t joinR t writet hasht hasattrR/ R ( t roott propsR5 t keyt valR, t name( t fobjt highlightt recurset seen( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyRF � s6 / s digraph G { s } N( t setR< ( R RD RE ( ( RD RE RF RG s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt write_graphviz� s N( R: t __module__t __doc__t _gidt INVALID_NON_AFFINER" R t FalseR! t is_bboxR& t NoneR t DEBUGR R R R t __deepcopy__R% R# R- R. R0 RI ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR 5 s2 t BboxBasec B s� e Z d Z e Z e Z e r6 d � Z e e � Z n d � Z e j e _ d � Z d � Z d � Z e e dO dO d � Z d � Z e e dO dO d � Z d � Z e e dO dO d � Z d � Z e e dO dO d � Z d � Z e e dO dO d � Z d � Z e e dO dO d � Z d � Z e e dO dO d � Z d � Z e e dO dO d � Z d � Z e e dO dO d � Z d � Z! e e! dO dO d � Z" d � Z# e e# dO dO d � Z$ d � Z% e e% dO dO d � Z& d � Z' e e' dO dO d � Z( d � Z) e e) dO dO d � Z* d! � Z+ e e+ dO dO d" � Z, d# � Z- e e- dO dO d$ � Z. d% � Z/ e e/ dO dO d& � Z0 d' � Z1 e e1 dO dO d( � Z2 d) � Z3 e e3 dO dO d* � Z4 d+ � Z5 d, � Z6 d- � Z7 d. � Z8 d/ � Z9 d0 � Z: d1 � Z; d2 � Z< d3 � Z= d4 � Z> d5 � Z? i dP d7 6dQ d9 6dR d: 6dS d< 6dT d= 6dU d> 6dV d? 6dW d@ 6dX dA 6Z@ dO dB � ZA dC � ZB dO d; dD � ZC dE � ZD dF � ZE dG � ZF dH � ZG dI � ZH dJ � ZI dK � ZJ dL � ZK dM � ZL e dN � � ZM RS(Y s� This is the base class of all bounding boxes, and provides read-only access to its data. A mutable bounding box is provided by the :class:`Bbox` class. The canonical representation is as two points, with no restrictions on their ordering. Convenience properties are provided to get the left, bottom, right and top edges and width and height, but these are not stored explicitly. c C sr t j | � r t j d � n t j | � } | d | d d k s^ | d | d d k rn t j d � n d S( Ns Bbox bounds are a masked array.i i s Singular Bbox.( i i ( i i ( i i ( i i ( R t isMaskedArrayt warningst warnt npt asarray( t points( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _check s c C s t | j � j � � S( N( t Bboxt get_pointsR ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR0 s c O s | j � S( N( R\ ( R R t kwargs( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt __array__ s c C s( t | j � j � � d d d d g k S( sk Returns True if the :class:`Bbox` is the unit bounding box from (0, 0) to (1, 1). g g �?( t listR\ t flatten( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt is_unit s c C s | j � d S( Ni ( i i ( R\ ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_x0 s s� (property) :attr:`x0` is the first of the pair of *x* coordinates that define the bounding box. :attr:`x0` is not guaranteed to be less than :attr:`x1`. If you require that, use :attr:`xmin`.c C s | j � d S( Ni i ( i i ( R\ ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_y0% s s� (property) :attr:`y0` is the first of the pair of *y* coordinates that define the bounding box. :attr:`y0` is not guaranteed to be less than :attr:`y1`. If you require that, use :attr:`ymin`.c C s | j � d S( Ni i ( i i ( R\ ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_x1, s s� (property) :attr:`x1` is the second of the pair of *x* coordinates that define the bounding box. :attr:`x1` is not guaranteed to be greater than :attr:`x0`. If you require that, use :attr:`xmax`.c C s | j � d S( Ni ( i i ( R\ ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_y13 s s� (property) :attr:`y1` is the second of the pair of *y* coordinates that define the bounding box. :attr:`y1` is not guaranteed to be greater than :attr:`y0`. If you require that, use :attr:`ymax`.c C s | j � d S( Ni ( R\ ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_p0: s s� (property) :attr:`p0` is the first pair of (*x*, *y*) coordinates that define the bounding box. It is not guaranteed to be the bottom-left corner. For that, use :attr:`min`.c C s | j � d S( Ni ( R\ ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_p1A s s� (property) :attr:`p1` is the second pair of (*x*, *y*) coordinates that define the bounding box. It is not guaranteed to be the top-right corner. For that, use :attr:`max`.c C s t | j � d d � d f � S( Ni ( t minR\ ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_xminH s sF (property) :attr:`xmin` is the left edge of the bounding box.c C s t | j � d d � d f � S( Ni ( Rh R\ ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_yminM s sH (property) :attr:`ymin` is the bottom edge of the bounding box.c C s t | j � d d � d f � S( Ni ( t maxR\ ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_xmaxR s sG (property) :attr:`xmax` is the right edge of the bounding box.c C s t | j � d d � d f � S( Ni ( Rk R\ ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_ymaxW s sE (property) :attr:`ymax` is the top edge of the bounding box.c C sB t | j � d d � d f � t | j � d d � d f � g S( Ni i ( Rh R\ ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_min\ s sV (property) :attr:`min` is the bottom-left corner of the bounding box.c C sB t | j � d d � d f � t | j � d d � d f � g S( Ni i ( Rk R\ ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_maxc s sL (property) :attr:`max` is the top-right corner of the bounding box.c C s | j � d d � d f S( Ni ( R\ ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_intervalxi s s� (property) :attr:`intervalx` is the pair of *x* coordinates that define the bounding box. It is not guaranteed to be sorted from left to right.c C s | j � d d � d f S( Ni ( R\ ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_intervalyp s s� (property) :attr:`intervaly` is the pair of *y* coordinates that define the bounding box. It is not guaranteed to be sorted from bottom to top.c C s | j � } | d | d S( Ni i ( i i ( i i ( R\ ( R RY ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_widthw s sj (property) The width of the bounding box. It may be negative if :attr:`x1` < :attr:`x0`.c C s | j � } | d | d S( Ni i ( i i ( i i ( R\ ( R RY ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_height~ s sk (property) The height of the bounding box. It may be negative if :attr:`y1` < :attr:`y0`.c C s | j � } | d | d S( Ni i ( R\ ( R RY ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_size� s s� (property) The width and height of the bounding box. May be negative, in the same way as :attr:`width` and :attr:`height`.c C s6 | j � j � \ } } } } | | | | | | f S( N( R\ R` ( R t x0t y0t x1t y1( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_bounds� s s\ (property) Returns (:attr:`x0`, :attr:`y0`, :attr:`width`, :attr:`height`).c C s | j � j � j � S( N( R\ R` R ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_extents� s sU (property) Returns (:attr:`x0`, :attr:`y0`, :attr:`x1`, :attr:`y1`).c C s t � S( N( R ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR\ � s c C sI | j \ } } | | k r3 | | k r3 | | k pH | | k oH | | k S( s_ Returns True if *x* is between or equal to :attr:`x0` and :attr:`x1`. ( t intervalx( R t xRu Rw ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt containsx� s c C sI | j \ } } | | k r3 | | k r3 | | k pH | | k oH | | k S( s_ Returns True if *y* is between or equal to :attr:`y0` and :attr:`y1`. ( t intervaly( R t yRv Rx ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt containsy� s c C s | j | � o | j | � S( sn Returns *True* if (*x*, *y*) is a coordinate inside the bounding box or on its edge. ( R} R� ( R R| R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt contains� s c C s� | j � \ } } } } | j � \ } } } } | | k rL | | } } n | | k rh | | } } n | | k r� | | } } n | | k r� | | } } n | | k p� | | k p� | | k p� | | k S( si Returns True if this bounding box overlaps with the given bounding box *other*. ( Rz ( R t othert ax1t ay1t ax2t ay2t bx1t by1t bx2t by2( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt overlaps� s c C sI | j \ } } | | k r3 | | k r3 | | k pH | | k oH | | k S( sd Returns True if *x* is between but not equal to :attr:`x0` and :attr:`x1`. ( R{ ( R R| Ru Rw ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt fully_containsx� s c C sI | j \ } } | | k r3 | | k r3 | | k pH | | k oH | | k S( sd Returns True if *y* is between but not equal to :attr:`y0` and :attr:`y1`. ( R~ ( R R Rv Rx ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt fully_containsy� s c C s | j | � o | j | � S( sr Returns True if (*x*, *y*) is a coordinate inside the bounding box, but not on its edge. ( R� R� ( R R| R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt fully_contains� s c C s� | j � \ } } } } | j � \ } } } } | | k rL | | } } n | | k rh | | } } n | | k r� | | } } n | | k r� | | } } n | | k p� | | k p� | | k p� | | k S( s� Returns True if this bounding box overlaps with the given bounding box *other*, but not on its edge alone. ( Rz ( R R� R� R� R� R� R� R� R� R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt fully_overlaps� s c C s t | j | j � � � S( sk Return a new :class:`Bbox` object, statically transformed by the given transform. ( R[ t transformR\ ( R R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt transformed� s c C s t | j � j | j � � � S( sz Return a new :class:`Bbox` object, statically transformed by the inverse of the given transform. ( R[ t invertedR� R\ ( R R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt inverse_transformed s g �?t Ci t SWt Sg �?t SEt Et NEt Nt NWt Wc C s� | d k r | } n | j \ } } } } t | t � rO | j | \ } } n | \ } } | j \ } } } } t | j | | | | | | | | | | g � S( sS Return a copy of the :class:`Bbox`, shifted to position *c* within a container. *c*: may be either: * a sequence (*cx*, *cy*) where *cx* and *cy* range from 0 to 1, where 0 is left or bottom and 1 is right or top * a string: - 'C' for centered - 'S' for bottom-center - 'SE' for bottom-left - 'E' for left - etc. Optional argument *container* is the box within which the :class:`Bbox` is positioned; it defaults to the initial :class:`Bbox`. N( RP t boundst isinstancet basestringt coefsR[ t _points( R t ct containert lt bt wt ht cxt cyt Lt BR� t H( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt anchored s c C s? | j \ } } t | j d | j d | | | | g g � S( s! Return a copy of the :class:`Bbox`, shrunk by the factor *mx* in the *x* direction and the factor *my* in the *y* direction. The lower left corner of the box remains unchanged. Normally *mx* and *my* will be less than 1, but this is not enforced. i ( t sizeR[ R� ( R t mxt myR� R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt shrunk8 s c C s� | d k r | } n | j \ } } | | | } | | k rG | } n | | | } | } t | j d | j d | | f g � S( s� Return a copy of the :class:`Bbox`, shrunk so that it is as large as it can be while having the desired aspect ratio, *box_aspect*. If the box coordinates are relative---that is, fractions of a larger box such as a figure---then the physical aspect ratio of that figure is specified with *fig_aspect*, so that *box_aspect* can also be given as a ratio of the absolute dimensions, not the relative dimensions. i N( RP R� R[ R� ( R t box_aspectR� t fig_aspectR� R� R� R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt shrunk_to_aspectC s c G s� g } d g t | � d g } | j � \ } } } } | | } xZ t | d | d � D]A \ } } | j t | | | | g | | | | g g � � qZ W| S( s� e.g., ``bbox.splitx(f1, f2, ...)`` Returns a list of new :class:`Bbox` objects formed by splitting the original one with vertical lines at fractional positions *f1*, *f2*, ... i i i����( R_ Rz t zipt appendR[ ( R R t boxest xfRu Rv Rw Rx R� t xf0t xf1( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt splitxZ s $9c G s� g } d g t | � d g } | j � \ } } } } | | } xZ t | d | d � D]A \ } } | j t | | | | g | | | | g g � � qZ W| S( s� e.g., ``bbox.splitx(f1, f2, ...)`` Returns a list of new :class:`Bbox` objects formed by splitting the original one with horizontal lines at fractional positions *f1*, *f2*, ... i i i����( R_ Rz R� R� R[ ( R R R� t yfRu Rv Rw Rx R� t yf0t yf1( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt splityj s $9c C s� t | � d k r d St j | � } | j � \ } } } } t j | d d � d f | � } t j | d d � d f | � } t j | d d � d f | � } t j | d d � d f | � } t | | � t | | � d k } t j | � S( sx Count the number of vertices contained in the :class:`Bbox`. *vertices* is a Nx2 Numpy array. i Ni i ( t lenRW RX Rz t signt abst sum( R t verticesRu Rv Rw Rx t dx0t dy0t dx1t dy1t inside( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt count_containsz s ####$c C s t | | � S( s� Count the number of bounding boxes that overlap this one. bboxes is a sequence of :class:`BboxBase` objects ( R ( R t bboxes( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt count_overlaps� s c C sj | j } | j } | | | d } | | | d } t j | | g | | g g � } t | j | � S( s� Return a new :class:`Bbox` which is this :class:`Bbox` expanded around its center by the given factors *sw* and *sh*. g @( t widtht heightRW t arrayR[ R� ( R t swt shR� R� t deltawt deltaht a( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt expanded� s #c C s. | j � } t | | | g | | g g � S( si Return a new :class:`Bbox` that is padded on all four sides by the given value. ( R\ R[ ( R t pRY ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt padded� s c C s t | j | | f � S( se Return a copy of the :class:`Bbox`, statically translated by *tx* and *ty*. ( R[ R� ( R t txt ty( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt translated� s c C sO | j � j � \ } } } } t j | | g | | g | | g | | g g � S( s Return an array of points which are the four corners of this rectangle. For example, if this :class:`Bbox` is defined by the points (*a*, *b*) and (*c*, *d*), :meth:`corners` returns (*a*, *b*), (*a*, *d*), (*c*, *b*) and (*c*, *d*). ( R\ R` RW R� ( R R� R� t rt t( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt corners� s c C sJ | j � } t � j | � j | � } t j � } | j | d t �| S( s� Return a new bounding box that bounds a rotated version of this bounding box by the given radians. The new bounding box is still aligned with the axes, of course. t ignore( R� t Affine2Dt rotateR� R[ t unitt update_from_data_xyt True( R t radiansR� t corners_rotatedt bbox( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt rotated� s c C s� t | � d k r | d St j } t j } t j } t j } x� | D]� } | j � } | d d � d f } | d d � d f } t | t j | � � } t | t j | � � } t | t j | � � } t | t j | � � } qG Wt j | | | | � S( sO Return a :class:`Bbox` that contains all of the given bboxes. i i N( R� RW t infR\ Rh Rk R[ t from_extents( R� Ru Rv Rw Rx R� RY t xst ys( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt union� s N( g �?g �?( i i ( g �?i ( g �?i ( g �?g �?( g �?g �?( g �?g �?( i g �?( i g �?(N R: RJ RK R� RO R! RQ RZ t staticmethodR0 R R^ Ra Rb t propertyRP Ru Rc Rv Rd Rw Re Rx Rf t p0Rg t p1Ri t xminRj t yminRl t xmaxRm t ymaxRn Rh Ro Rk Rp R{ Rq R~ Rr R� Rs R� Rt R� Ry R� Rz t extentsR\ R} R� R� R� R� R� R� R� R� R� R� R� R� R� R� R� R� R� R� R� R� R� R� R� ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyRS � s� ! R[ c B s6 e Z d Z d � Z e r6 e Z d � Z d � Z n e j d d g d d g g e j � Z e d � � Z e d � � Z e d � � Z d � Z d � Z d d � Z d e e d � Z d e e d � Z d � Z e e j e � Z d � Z e e j e � Z d � Z e e j e � Z d � Z! e e j" e! � Z# d � Z$ e e j% e$ � Z& d � Z' e e j( e' � Z) d � Z* e e j+ e* � Z, d � Z- e e j. e- � Z/ d � Z0 e e j1 e0 � Z2 d � Z3 e e3 � Z4 d � Z5 e e5 � Z6 d � Z7 e e7 � Z8 d � Z9 d � Z: d � Z; d � Z< d � Z= d � Z> RS(! s! A mutable bounding box. c K s_ t j | | � t j | t j � | _ t j d d g � | _ t | _ | j j � | _ d S( s *points*: a 2x2 numpy array of the form [[x0, y0], [x1, y1]] If you need to create a :class:`Bbox` object from another form of data, consider the static methods :meth:`unit`, :meth:`from_bounds` and :meth:`from_extents`. gH�����z>N( RS R RW RX t float_R� R� t _minposR� t _ignoreR t _points_orig( R RY R] ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR � s c K s! | j | � | j | | � d S( N( RZ t ___init__( R RY R] ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR � s c C s! | j | j � t j | � d S( N( RZ R� R R% ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR% � s g g �?c C s t t j j � � S( s_ (staticmethod) Create a new unit :class:`Bbox` from (0, 0) to (1, 1). ( R[ t _unit_valuesR ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� s c C s t j | | | | | | � S( s� (staticmethod) Create a new :class:`Bbox` from *x0*, *y0*, *width* and *height*. *width* and *height* may be negative. ( R[ R� ( Ru Rv R� R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt from_bounds s c G s. t j | d t j �j d d � } t | � S( s� (staticmethod) Create a new Bbox from *left*, *bottom*, *right* and *top*. The *y*-axis increases upwards. t dtypei ( RW R� R� t reshapeR[ ( R RY ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� s $c C s d t | j � S( Ns Bbox(%r)( R R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt __repr__ s c C s | | _ d S( s� Set whether the existing bounds of the box should be ignored by subsequent calls to :meth:`update_from_data` or :meth:`update_from_data_xy`. *value*: - When True, subsequent calls to :meth:`update_from_data` will ignore the existing bounds of the :class:`Bbox`. - When False, subsequent calls to :meth:`update_from_data` will include the existing bounds of the :class:`Bbox`. N( R� ( R R$ ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� " s c C s\ t j d � t j | j t | � d f � | j t | � d f � f � } | j | | � S( s Update the bounds of the :class:`Bbox` based on the passed in data. After updating, the bounds will have positive *width* and *height*; *x0* and *y0* will be the minimal values. *x*: a numpy array of *x*-values *y*: a numpy array of *y*-values *ignore*: - when True, ignore the existing bounds of the :class:`Bbox`. - when False, include the existing bounds of the :class:`Bbox`. - when None, use the last value passed to :meth:`ignore`. sR update_from_data requires a memory copy -- please replace with update_from_data_xyi ( RU RV RW t hstackR� R� R� ( R R| R R� t xy( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt update_from_data2 s ?c C s� | d k r | j } n | j j d k r. d St | d | j | j | � \ } } } | r� | j � | r� | d d � d f | j d d � d f <| d | j d <n | r� | d d � d f | j d d � d f <| d | j d <q� n d S( sb Update the bounds of the :class:`Bbox` based on the passed in data. After updating, the bounds will have positive *width* and *height*; *x0* and *y0* will be the minimal values. *path*: a :class:`~matplotlib.path.Path` instance *ignore*: - when True, ignore the existing bounds of the :class:`Bbox`. - when False, include the existing bounds of the :class:`Bbox`. - when None, use the last value passed to :meth:`ignore`. *updatex*: when True, update the x values *updatey*: when True, update the y values i Ni ( RP R� R� R� R R� R� R% ( R t pathR� t updatext updateyRY t minpost changed( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt update_from_pathH s $ ))c C sE t | � d k r d St | � } | j | d | d | d | �d S( sP Update the bounds of the :class:`Bbox` based on the passed in data. After updating, the bounds will have positive *width* and *height*; *x0* and *y0* will be the minimal values. *xy*: a numpy array of 2D points *ignore*: - when True, ignore the existing bounds of the :class:`Bbox`. - when False, include the existing bounds of the :class:`Bbox`. - when None, use the last value passed to :meth:`ignore`. *updatex*: when True, update the x values *updatey*: when True, update the y values i NR� R R ( R� R R ( R R R� R R R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� l s c C s | | j d <| j � d S( Ni ( i i ( R� R% ( R RB ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _set_x0� s c C s | | j d <| j � d S( Ni i ( i i ( R� R% ( R RB ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _set_y0� s c C s | | j d <| j � d S( Ni i ( i i ( R� R% ( R RB ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _set_x1� s c C s | | j d <| j � d S( Ni ( i i ( R� R% ( R RB ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _set_y1� s c C s | | j d <| j � d S( Ni ( R� R% ( R RB ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _set_p0� s c C s | | j d <| j � d S( Ni ( R� R% ( R RB ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _set_p1� s c C s' | | j d d � d f <| j � d S( Ni ( R� R% ( R t interval( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _set_intervalx� s c C s' | | j d d � d f <| j � d S( Ni ( R� R% ( R R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _set_intervaly� s c C ss | \ } } } } t j | | g | | | | g g t j � } t j | j | k � ro | | _ | j � n d S( N( RW R� R� t anyR� R% ( R R� R� R� R� R� RY ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _set_bounds� s / c C s | j S( N( R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_minpos� s c C s | j d S( Ni ( R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_minposx� s c C s | j d S( Ni ( R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_minposy� s c C s d | _ | j S( sy Get the points of the bounding box directly as a numpy array of the form: [[x0, y0], [x1, y1]]. i ( R R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR\ � s c C s2 t j | j | k � r. | | _ | j � n d S( s� Set the points of the bounding box directly from a numpy array of the form: [[x0, y0], [x1, y1]]. No error checking is performed, as this method is mainly for internal use. N( RW R R� R% ( R RY ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt set_points� s c C s> t j | j | j � k � r: | j � | _ | j � n d S( sb Set this bounding box from the "frozen" bounds of another :class:`Bbox`. N( RW R R� R\ R% ( R R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyRH � s c C s | j � p | j � S( s. return whether the bbox has changed since init( t mutatedxt mutatedy( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt mutated� s c C s2 | j d | j d k p1 | j d | j d k S( s3 return whether the x-limits have changed since initi i ( i i ( i i ( i i ( i i ( R� R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR � s c C s2 | j d | j d k p1 | j d | j d k S( s3 return whether the y-limits have changed since initi i ( i i ( i i ( i i ( i i ( R� R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR � s N(? R: RJ RK R RQ R� R% RW R� R� R� R� R� R� R� R� R� RP R R� R R� R R� RS Rb Ru R Rc Rv R Rd Rw R Re Rx R Rf R� R Rg R� R Rp R{ R Rq R~ R Ry R� R R R t minposxR t minposyR\ R RH R R R ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR[ � sZ ' $ t TransformedBboxc B sP e Z d Z d � Z d � Z d � Z e j j e _ e rN e Z d � Z n RS( s� A :class:`Bbox` that is automatically transformed by a given transform. When either the child bounding box or transform changes, the bounds of this bbox will update accordingly. c K s? t j | | � | | _ | | _ | j | | � d | _ d S( s] *bbox*: a child :class:`Bbox` *transform*: a 2D :class:`Transform` N( RS R t _bboxt _transformR- RP R� ( R R� R� R] ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR � s c C s d | j | j f S( Ns TransformedBbox(%r, %r)( R R ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� s c C sU | j rN | j j | j j � � } t j j | d � } | | _ d | _ n | j S( Ng i ( R R R� R R\ RW R t filledR� ( R RY ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR\ s c C s | j � } | j | � | S( N( t _get_pointsRZ ( R RY ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR\ s ( R: RJ RK R R� R\ R[ RQ R! ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR � s t Transformc B s� e Z d Z d Z d Z e Z e Z d � Z d � Z d � Z d � Z e d � � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z e d d � Z d � Z RS( s� The base class of all :class:`TransformNode` instances that actually perform a transformation. All non-affine transformations should be subclasses of this class. New affine transformations should be subclasses of :class:`Affine2D`. Subclasses of this class should override the following members (at minimum): - :attr:`input_dims` - :attr:`output_dims` - :meth:`transform` - :attr:`is_separable` - :attr:`has_inverse` - :meth:`inverted` (if :attr:`has_inverse` is True) If the transform needs to do something non-standard with :class:`matplotlib.path.Path` objects, such as adding curves where there were once line segments, it should override: - :meth:`transform_path` c C s6 t | t � r t | | � St d t | � � � d S( sc Composes two transforms together such that *self* is followed by *other*. s, Can not add Transform to object of type '%s'N( R� R" t composite_transform_factoryt TypeErrort type( R R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt __add__A s c C s6 t | t � r t | | � St d t | � � � d S( sc Composes two transforms together such that *self* is followed by *other*. s, Can not add Transform to object of type '%s'N( R� R" R# R$ R% ( R R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt __radd__K s c C s | | k S( N( ( R R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt __eq__U s c c s t � | f Vd S( s� Returns an iterator breaking down this transform stack from left to right recursively. If self == ((A, N), A) then the result will be an iterator which yields I : ((A, N), A), followed by A : (N, A), followed by (A, N) : (A), but not ((A, N), A) : I. This is equivalent to flattening the stack then yielding ``flat_stack[:i], flat_stack[i:]`` where i=0..(n-1). N( t IdentityTransform( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _iter_break_from_left_to_right[ s c C s d S( s Returns the number of transforms which have been chained together to form this Transform instance. .. note:: For the special case of a Composite transform, the maximum depth of the two is returned. i ( ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt depthh s c C sG | j | j k r t Sx* | j � D] \ } } | | k r# t Sq# Wt S( sR Return whether the given transform is a sub-tree of this transform. This routine uses transform equality to identify sub-trees, therefore in many situations it is object id which will be used. For the case where the given transform represents the whole of this transform, returns True. ( R+ RN R* R� ( R R� t _t sub_tree( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt contains_branchv s c C s2 | j d k r t d � � n | j | � g d S( sV Returns whether the given branch is a sub-tree of this transform on each seperate dimension. A common use for this method is to identify if a transform is a blended transform containing an axes' data transform. e.g.:: x_isdata, y_isdata = trans.contains_branch_seperately(ax.transData) i sL contains_branch_seperately only supports transforms with 2 output dimensions( t output_dimst ValueErrorR. ( R t other_transform( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt contains_branch_seperately� s c C s� t | t � s t Sx* | j � D] \ } } | | k r | Sq WxH | j � D]: \ } } | | k rM | j s} t d � � n | j � SqM W| j r� | | j � St d � � d S( s� Returns a transform stack which goes all the way down self's transform stack, and then ascends back up other's stack. If it can, this is optimised:: # normally A - B == a + b.inverted() # sometimes, when A contains the tree B there is no need to # descend all the way down to the base of A (via B), instead we # can just stop at B. (A + B) - (B)^-1 == A # similarly, when B contains tree A, we can avoid decending A at # all, basically: A - (A + B) == ((B + A) - A).inverted() or B^-1 For clarity, the result of ``(A + B) - B + B == (A + B)``. s\ The shortcut cannot be computed since other's transform includes a non-invertable component.sp It is not possible to compute transA - transB since transB cannot be inverted and there is no shortcut possible.N( R� R" t NotImplementedR* t has_inverseR0 R� ( R R� t remainderR- ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt __sub__� s c O s | j � j � S( sK Array interface to get at this Transform's affine matrix. ( t get_affinet get_matrix( R R R] ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR^ � s c C s | j | j | � � S( s� Performs the transformation on the given array of values. Accepts a numpy array of shape (N x :attr:`input_dims`) and returns a numpy array of shape (N x :attr:`output_dims`). ( t transform_affinet transform_non_affine( R t values( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� � s c C s | j � j | � S( s Performs only the affine part of this transformation on the given array of values. ``transform(values)`` is always equivalent to ``transform_affine(transform_non_affine(values))``. In non-affine transformations, this is generally a no-op. In affine transformations, this is equivalent to ``transform(values)``. Accepts a numpy array of shape (N x :attr:`input_dims`) and returns a numpy array of shape (N x :attr:`output_dims`). ( R7 R� ( R R; ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR9 � s c C s | S( s� Performs only the non-affine part of the transformation. ``transform(values)`` is always equivalent to ``transform_affine(transform_non_affine(values))``. In non-affine transformations, this is generally equivalent to ``transform(values)``. In affine transformations, this is always a no-op. Accepts a numpy array of shape (N x :attr:`input_dims`) and returns a numpy array of shape (N x :attr:`output_dims`). ( ( R R; ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR: � s c C s t � S( s8 Get the affine part of this transform. ( R) ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR7 � s c C s | j � j � S( se Get the Affine transformation array for the affine part of this transform. ( R7 R8 ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR8 � s c C s | j t j | g � � d S( s A convenience function that returns the transformed copy of a single point. The point is given as a sequence of length :attr:`input_dims`. The transformed point is returned as a sequence of length :attr:`output_dims`. i ( R� RW RX ( R t point( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt transform_point s c C s | j | j | � � S( s� Returns a transformed path. *path*: a :class:`~matplotlib.path.Path` instance. In some cases, this transform may insert curves into the path that began as line segments. ( t transform_path_affinet transform_path_non_affine( R R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt transform_path s c C s | j � j | � S( s Returns a path, transformed only by the affine part of this transform. *path*: a :class:`~matplotlib.path.Path` instance. ``transform_path(path)`` is equivalent to ``transform_path_affine(transform_path_non_affine(values))``. ( R7 R> ( R R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR> s c C s" t | j | j � | j | j � S( s Returns a path, transformed only by the non-affine part of this transform. *path*: a :class:`~matplotlib.path.Path` instance. ``transform_path(path)`` is equivalent to ``transform_path_affine(transform_path_non_affine(values))``. ( R R: R� t codest _interpolation_steps( R R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR? * s g�h㈵��>c C s� | j d k s | j d k r- t d � � n | sG | d t j } n | | t j t j | � t j | � f } | j | � } | j | � } | | } t j | d d � d f | d d � d f � } | s� | d t j } n | S( s� Performs transformation on a set of angles anchored at specific locations. The *angles* must be a column vector (i.e., numpy array). The *pts* must be a two-column numpy array of x,y positions (angle transforms currently only work in 2D). This array must have the same number of rows as *angles*. *radians* indicates whether or not input angles are given in radians (True) or degrees (False; the default). *pushoff* is the distance to move away from *pts* for determining transformed angles (see discussion of method below). The transformed angles are returned in an array with the same size as *angles*. The generic version of this method uses a very generic algorithm that transforms *pts*, as well as locations very close to *pts*, to find the angle in the transformed system. i s Only defined in 2Dg �f@Ni i ( t input_dimsR/ R RW t pit c_t cost sinR� t arctan2( R t anglest ptsR� t pushofft pts2t tptst tpts2R R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt transform_angles7 s - 2c C s t � � d S( s, Return the corresponding inverse transformation. The return value of this method should be treated as temporary. An update to *self* does not cause a corresponding update to its inverted copy. ``x === self.inverted().transform(self.transform(x))`` N( R ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� p s N( R: RJ RK RP RC R/ RN R4 t is_separableR& R' R( R* R� R+ R. R2 R6 R^ R� R9 R: R7 R8 R= R@ R> R? RO R� ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR" s2 - 9t TransformWrapperc B s� e Z d Z e Z d � Z d � Z e r6 d � Z n d � Z d � Z d � Z d � Z e j j e _ d � Z d � Z d � Z e e � Z d � Z e e � Z d � Z e e � Z RS( s A helper class that holds a single child transform and acts equivalently to it. This is useful if a node of the transform tree must be replaced at run time with a transform of a different type. This class allows that replacement to correctly trigger invalidation. Note that :class:`TransformWrapper` instances must have the same input and output dimensions during their entire lifetime, so the child transform may only be replaced with another child transform of the same dimensions. c C s? t j | � | j | _ | j | _ | j | � d | _ d S( st *child*: A class:`Transform` instance. This child may later be replaced with :meth:`set`. i N( R" R RC R/ t _setR ( R R, ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR � s c C s | j j | � S( N( t _childR( ( R R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR( � s c C s t | j � S( N( t strRS ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR � s c C s i | j d 6S( NR, ( RS ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR � s c C s | j | d � d S( NR, ( R ( R t state( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR � s c C s d | j S( Ns TransformWrapper(%r)( RS ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� � s c C s | j j � S( N( RS R0 ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR0 � s c C s� | | _ | j | � | j | _ | j | _ | j | _ | j | _ | j | _ | j | _ | j | _ | j | _ | j | _ d S( N( RS R- R� R9 R: R@ R> R? R7 R� R8 ( R R, ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyRR � s c C s- | j | � d | _ | j � d | _ d S( s� Replace the current child of this transform with another one. The new child must have the same number of input and output dimensions as the current child. i N( RR R R% ( R R, ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyRH � s c C s | j j S( N( RS R! ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_is_affine� s c C s | j j S( N( RS RP ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_is_separable� s c C s | j j S( N( RS R4 ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _get_has_inverse� s ( R: RJ RK R� R& R R( RQ R R R R� R0 R" RR RH RV R� R! RW RP RX R4 ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyRQ } s& t AffineBasec B s� e Z d Z e Z d � Z d � Z e d � � Z d � Z d � Z e j j e _ d � Z e j j e _ d � Z e j j e _ d � Z e j j e _ d � Z e j j e _ d � Z e j j e _ d � Z e j j e _ RS( sW The base class of all affine transformations of any number of dimensions. c O s t j | | | � d | _ d S( N( R" R RP t _inverted( R R R] ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR � s c O s | j � S( N( R8 ( R R R] ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR^ � s c C s t j | | � S( sj Concatenates two transformation matrices (represented as numpy arrays) together. ( RW t dot( R� R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _concat� s c C s, | j r( t j | j � | j � k � St S( N( R! RW t allR8 R3 ( R R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR( � s c C s | j | � S( N( R9 ( R R; ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� � s c C s t d � � d S( Ns. Affine subclasses should override this method.( R ( R R; ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR9 � s c C s | S( N( ( R RY ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR: s c C s | j | � S( N( R> ( R R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR@ s c C s" t | j | j � | j | j � S( N( R R9 R� RA RB ( R R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR> s c C s | S( N( ( R R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR? s c C s | S( N( ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR7 s ( R: RJ RK R� R! R R^ R� R\ R( R� R" R9 R: R@ R> R? R7 ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyRY � s( t Affine2DBasec B s� e Z d Z e Z d Z d Z d � Z e j j e _ d � Z e e � Z d � Z e d � � Z d � Z d � Z e j j e _ e r� e Z d � Z n e j j e _ d � Z e j j e _ RS( s� The base class of all 2D affine transformations. 2D affine transformations are performed using a 3x3 numpy array:: a c e b d f 0 0 1 This class provides the read-only interface. For a mutable 2D affine transformation, use :class:`Affine2D`. Subclasses of this class will generally only need to override a constructor and :meth:`get_matrix` that generates a custom 3x3 matrix. i c C s t | j � j � � S( N( R� R8 R ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR0 / s c C s* | j � } | d d k o) | d d k S( Ni i g ( i i ( i i ( R8 ( R t mtx( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyRW 3 s c C s, | j � } t | d j d d � j � � S( sM Return the values of the matrix as a sequence (a,b,c,d,e,f) i i i ( R8 t tuplet swapaxesR` ( R R_ ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt to_values8 s c C s7 t j | | | g | | | g d d d g g t j � S( s� (staticmethod) Create a new transformation matrix as a 3x3 numpy array of the form:: a c e b d f 0 0 1 g g �?( RW R� R� ( R� R� R� R t et f( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt matrix_from_values? s c C sV | j � } t | t � rI t | j | � } t j | d t j | � �St | | � S( Nt mask( R8 R� t MaskedArrayR t dataR t getmask( R RY R_ t tpoints( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR9 K s c C s | j � } t | | � S( N( R8 R ( R R< R_ ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR= R s c C sN t j | � rA t | t j � rA t j d d t | � � n | j | � S( Ns/ A non-numpy array of type %s was passed in for s% transformation. Please correct this.( R RT R� RW t ndarrayRU RV R% t _transform_affine( R RY ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR9 Z s c C sq | j d k s | j rj | j � } d } | j rC d | j } n t t | � d | �| _ d | _ n | j S( Ns (%s)-1R i ( RZ RP R R8 R R� R ( R R_ R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� g s ( R: RJ RK R� R4 RC R/ R0 RY RW R� RP Rb R� Re R9 R= RQ Rl R� ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR^ s& R� c B s� e Z d Z d d � Z d � Z e d � � Z d � Z d � Z d � Z e d � � Z d � Z d � Z d � Z d � Z d � Z d � Z d d � Z d � Z e e � Z RS( s- A mutable 2D affine transformation. c K sb t j | | � | d k r. t j d � } n t rL t j | t j � } n | | _ d | _ d S( s� Initialize an Affine transform from a 3x3 numpy float array:: a c e b d f 0 0 1 If *matrix* is None, initialize with the identity transform. i i N( R^ R RP RW t identityRQ RX R� t _mtxR ( R t matrixR] ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR x s c C s d t | j � S( Ns Affine2D(%s)( R Rn ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� � s c C s= t t j | | | | | | d d d g t j � j d � � S( s� (staticmethod) Create a new Affine2D instance from the given values:: a c e b d f 0 0 1 . g g �?i ( i i ( R� RW R� R� R� ( R� R� R� R Rc Rd ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt from_values� s 0c C s d | _ | j S( s� Get the underlying transformation matrix as a 3x3 numpy array:: a c e b d f 0 0 1 . i ( R Rn ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR8 � s c C s | | _ | j � d S( s� Set the underlying transformation matrix from a 3x3 numpy array:: a c e b d f 0 0 1 . N( Rn R% ( R R_ ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt set_matrix� s c C s | j � | _ | j � d S( so Set this transformation from the frozen copy of another :class:`Affine2DBase` object. N( R8 Rn R% ( R R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyRH � s c C s t t j d � � S( s� (staticmethod) Return a new :class:`Affine2D` object that is the identity transform. Unless this transform will be mutated later on, consider using the faster :class:`IdentityTransform` class instead. i ( R� RW Rm ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyRm � s c C s t j d � | _ | j � | S( sH Reset the underlying matrix to the identity transform. i ( RW Rm Rn R% ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt clear� s c C s~ t j | � } t j | � } t j | | d g | | d g d d d g g t j � } t j | | j � | _ | j � | S( s� Add a rotation (in radians) to this transform in place. Returns *self*, so this method can easily be chained with more calls to :meth:`rotate`, :meth:`rotate_deg`, :meth:`translate` and :meth:`scale`. g g �?( RW RF RG R� R� R[ Rn R% ( R t thetaR� R� t rotate_mtx( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� � s ( c C s | j | t j d � S( s� Add a rotation (in degrees) to this transform in place. Returns *self*, so this method can easily be chained with more calls to :meth:`rotate`, :meth:`rotate_deg`, :meth:`translate` and :meth:`scale`. g �f@( R� RW RD ( R t degrees( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt rotate_deg� s c C s' | j | | � j | � j | | � S( s� Add a rotation (in radians) around the point (x, y) in place. Returns *self*, so this method can easily be chained with more calls to :meth:`rotate`, :meth:`rotate_deg`, :meth:`translate` and :meth:`scale`. ( t translateR� ( R R| R Rs ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt rotate_around� s c C s' | j | | � j | � j | | � S( s� Add a rotation (in degrees) around the point (x, y) in place. Returns *self*, so this method can easily be chained with more calls to :meth:`rotate`, :meth:`rotate_deg`, :meth:`translate` and :meth:`scale`. ( Rw Rv ( R R| R Ru ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt rotate_deg_around s c C s_ t j d d | g d d | g d d d g g t j � } t j | | j � | _ | j � | S( s� Adds a translation in place. Returns *self*, so this method can easily be chained with more calls to :meth:`rotate`, :meth:`rotate_deg`, :meth:`translate` and :meth:`scale`. g �?g ( RW R� R� R[ Rn R% ( R R� R� t translate_mtx( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyRw s ' c C st | d k r | } n t j | d d g d | d g d d d g g t j � } t j | | j � | _ | j � | S( s3 Adds a scale in place. If *sy* is None, the same scale is applied in both the *x*- and *y*-directions. Returns *self*, so this method can easily be chained with more calls to :meth:`rotate`, :meth:`rotate_deg`, :meth:`translate` and :meth:`scale`. g g �?N( RP RW R� R� R[ Rn R% ( R t sxt syt scale_mtx( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt scale s ' c C s* | j � } | d d k o) | d d k S( Ni i g ( i i ( i i ( R8 ( R R_ ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyRW - s N( R: RJ RK RP R R� R� Rp R8 Rq RH Rm Rr R� Rv Rx Ry Rw R~ RW R� RP ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� s s" R) c B s e Z d Z e j d � Z d � Z e j j e _ d � Z d � Z e j j e _ d � Z e j j e _ e Z e j j e _ e Z e j j e _ d � Z e j j e _ e Z e j j e _ e Z e j j e _ d � Z e j j e _ e Z e j j e _ RS( sX A special class that does on thing, the identity transform, in a fast way. i c C s | S( N( ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR0 : s c C s d S( Ns IdentityTransform()( ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� > s c C s | j S( N( Rn ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR8 A s c C s | S( N( ( R RY ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� E s c C s | S( N( ( R R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR@ O s c C s | S( N( ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR7 Y s ( R: RJ RK RW Rm Rn R0 R^ R� R8 R� R9 R: R@ R> R? R7 R� ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR) 3 s. t BlendedGenericTransformc B s� e Z d Z d Z d Z e Z e Z d � Z d � Z d � Z e d � � Z d � Z d � Z e e � Z d � Z e e � Z d � Z e j j e _ d � Z d � Z e j j e _ d � Z e j j e _ d � Z e j j e _ RS( s� A "blended" transform uses one transform for the *x*-direction, and another transform for the *y*-direction. This "generic" version can handle any given child transform in the *x*- and *y*-directions. i c K s? t j | | � | | _ | | _ | j | | � d | _ d S( s� Create a new "blended" transform using *x_transform* to transform the *x*-axis and *y_transform* to transform the *y*-axis. You will generally not call this constructor directly but use the :func:`blended_transform_factory` function instead, which can determine automatically which kind of blended transform to create. N( R" R t _xt _yR- RP t _affine( R t x_transformt y_transformR] ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR n s c C s^ t | t t f � r7 | j | j k o6 | j | j k S| j | j k rV | j | k St Sd S( N( R� t BlendedAffine2DR R� R� R3 ( R R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR( � s " c C s" | j j | � | j j | � f S( N( R� R. R� ( R R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR2 � s c C s t | j j | j j g � S( N( Rk R� R+ R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR+ � s c C s t S( N( RN ( R R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR. � s c C s | j j o | j j S( N( R� R! R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyRV � s c C s | j j o | j j S( N( R� R4 R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyRX � s c C s t | j j � | j j � � S( N( t blended_transform_factoryR� R0 R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR0 � s c C s d | j | j f S( Ns BlendedGenericTransform(%s,%s)( R� R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� � s c C s� | j j r | j j r | S| j } | j } | | k rV | j d k rV | j | � S| j d k r� | j | � d d � d d � f } n: | j | d d � d f � } | j t | � d f � } | j d k r� | j | � d d � d d � f } n: | j | d d � d f � } | j t | � d f � } t | t � sVt | t � rlt j | | f d � St j | | f d � Sd S( Ni i i ( R� R! R� RC R: R� R� R� Rg R t concatenateRW ( R RY R| R t x_pointst y_points( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR: � s" ( ( c C s t | j j � | j j � � S( N( R R� R� R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� � s c C s� | j s | j d k r� | j | j k r? | j j � | _ nb | j j � j � } | j j � j � } t j | d | d d d d g f � } t | � | _ d | _ n | j S( Ni i g g �?( R R� RP R� R� R7 R8 RW t vstackR� ( R t x_mtxt y_mtxR_ ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR7 � s ) ( R: RJ RK RC R/ R� RP R& R R( R2 R� R+ R. RV R! RX R4 R0 R" R� R: R� R7 ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR a s. R� c B sP e Z d Z e Z d � Z d � Z d � Z d � Z d � Z e j j e _ RS( s� A "blended" transform uses one transform for the *x*-direction, and another transform for the *y*-direction. This version is an optimization for the case where both child transforms are of type :class:`Affine2DBase`. c K sL t j | | � | | _ | | _ | j | | � t j | � d | _ d S( s� Create a new "blended" transform using *x_transform* to transform the *x*-axis and *y_transform* to transform the *y*-axis. Both *x_transform* and *y_transform* must be 2D affine transforms. You will generally not call this constructor directly but use the :func:`blended_transform_factory` function instead, which can determine automatically which kind of blended transform to create. N( R" R R� R� R- R^ RP Rn ( R R� R� R] ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR � s c C s^ t | t t f � r7 | j | j k o6 | j | j k S| j | j k rV | j | k St Sd S( N( R� R� R R� R� R3 ( R R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR( � s " c C s" | j j | � | j j | � f S( N( R� R. R� ( R R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR2 s c C s d | j | j f S( Ns BlendedAffine2D(%s,%s)( R� R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� s c C s� | j r� | j | j k r0 | j j � | _ nJ | j j � } | j j � } t j | d | d d d d g f � | _ d | _ d | _ n | j S( Ni i g g �?( R R� R� R8 Rn RW R� RP RZ ( R R� R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR8 s , ( R: RJ RK R� RP R R( R2 R� R8 R^ ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� � s c C s8 t | t � r+ t | t � r+ t | | � St | | � S( s� Create a new "blended" transform using *x_transform* to transform the *x*-axis and *y_transform* to transform the *y*-axis. A faster version of the blended transform is returned for the case where both child transforms are affine. ( R� R^ R� R ( R� R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� s t CompositeGenericTransformc B s@ e Z d Z e Z d � Z e d � � Z d � Z e j j e _ d � Z d � Z d � Z e d � � Z d � Z e e � Z d � Z e e � Z e r� d � Z n d � Z d � Z e j j e _ d � Z e j j e _ d � Z e j j e _ d � Z e j j e _ d � Z e j j e _ d � Z e e � Z RS( s� A composite transform formed by applying transform *a* then transform *b*. This "generic" version can handle any two arbitrary transformations. c K sN | j | _ | j | _ t j | | � | | _ | | _ | j | | � d S( sl Create a new composite transform that is the result of applying transform *a* then transform *b*. You will generally not call this constructor directly but use the :func:`composite_transform_factory` function instead, which can automatically choose the best kind of composite transform instance to create. N( RC R/ R" R t _at _bR- ( R R� R� R] ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR 3 s c C s | j j o | j j S( N( R� R! R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt <lambda>F s c C sG d | _ t | j j � | j j � � } t | t � sC | j � S| S( Ni ( R R# R� R0 R� R� R� ( R R0 ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR0 H s ! c C sa | t j k rD | j j rD | j j s8 | | j k rD t j } n t j | d | d | �d S( NR$ R ( R" R" R� R! R� R R# ( R R$ R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR# P s c C sK t | t t f � rC | | k pB | j | j k oB | j | j k St Sd S( N( R� R� t CompositeAffine2DR� R� RN ( R R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR( _ s .c c sh x/ | j j � D] \ } } | | | j f Vq Wx/ | j j � D] \ } } | j | | f VqB Wd S( N( R� R* R� ( R t lh_complimentt rh_compliment( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR* e s c C s | j j | j j S( N( R� R+ R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR+ k s c C s | j j o | j j S( N( R� R! R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyRV o s c C s | j j o | j j S( N( R� RP R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyRW s s c C s d | j | j f S( Ns (%s, %s)( R� R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR x s c C s d | j | j f S( Ns! CompositeGenericTransform(%r, %r)( R� R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� { s c C s | j � j | � S( N( R7 R� ( R RY ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR9 ~ s c C se | j j r | j j r | S| j j rE | j j rE | j j | � S| j j | j j | � � Sd S( N( R� R! R� R: R� ( R RY ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR: � s c C se | j j r | j j r | S| j j rE | j j rE | j j | � S| j j | j j | � � Sd S( N( R� R! R� R? R@ ( R R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR? � s c C sQ | j j s | j j � St t j | j j � j � | j j � j � � � Sd S( N( R� R! R7 R� RW R[ R8 R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR7 � s c C s t | j j � | j j � � S( N( R� R� R� R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� � s c C s | j j o | j j S( N( R� R4 R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyRX � s ( R: RJ RK R� R& R R� R! R0 R" R# R( R* R+ RV RW RP RQ R R� R9 R: R? R7 R� RX R4 ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� ) s: R� c B sb e Z d Z d � Z e r' d � Z n e d � � Z d � Z d � Z d � Z e j j e _ RS( s� A composite transform formed by applying transform *a* then transform *b*. This version is an optimization that handles the case where both *a* and *b* are 2D affines. c K sW | j | _ | j | _ t j | | � | | _ | | _ | j | | � d | _ d S( s� Create a new composite transform that is the result of applying transform *a* then transform *b*. Both *a* and *b* must be instances of :class:`Affine2DBase`. You will generally not call this constructor directly but use the :func:`composite_transform_factory` function instead, which can automatically choose the best kind of composite transform instance to create. N( RC R/ R^ R R� R� R- RP Rn ( R R� R� R] ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR � s c C s d | j | j f S( Ns (%s, %s)( R� R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR � s c C s | j j | j j S( N( R� R+ R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR+ � s c c sh x/ | j j � D] \ } } | | | j f Vq Wx/ | j j � D] \ } } | j | | f VqB Wd S( N( R� R* R� ( R R� R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR* � s c C s d | j | j f S( Ns CompositeAffine2D(%r, %r)( R� R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� � s c C sL | j rE t j | j j � | j j � � | _ d | _ d | _ n | j S( Ni ( R RW R[ R� R8 R� Rn RP RZ ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR8 � s ( R: RJ RK R RQ R R� R+ R* R� R8 R^ ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� � s c C s^ t | t � r | St | t � r& | St | t � rQ t | t � rQ t | | � St | | � S( sv Create a new composite transform that is the result of applying transform a then transform b. Shortcut versions of the blended transform are provided for the case where both child transforms are affine, or one or the other is the identity transform. Composite transforms may also be created using the '+' operator, e.g.:: c = a + b ( R� R) R� R� R� ( R� R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR# � s t BboxTransformc B s> e Z d Z e Z d � Z d � Z d � Z e j j e _ RS( sp :class:`BboxTransform` linearly transforms points from one :class:`Bbox` to another :class:`Bbox`. c K sH t j | | � | | _ | | _ | j | | � d | _ d | _ d S( sw Create a new :class:`BboxTransform` that linearly transforms points from *boxin* to *boxout*. N( R^ R t _boxint _boxoutR- RP Rn RZ ( R t boxint boxoutR] ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR s c C s d | j | j f S( Ns BboxTransform(%r, %r)( R� R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� s c C s� | j r� | j j \ } } } } | j j \ } } } } | | } | | } t rz | d k sk | d k rz t d � � n t j | d | | | g d | | | | g d d d g g t j � | _ d | _ d | _ n | j S( Ni s0 Transforming from or to a singular bounding box.g g �?( R R� R� R� RQ R0 RW R� R� Rn RP RZ ( R t inlt inbt inwt inht outlt outbt outwt outht x_scalet y_scale( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR8 s ( R: RJ RK R� RP R R� R8 R^ ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� � s t BboxTransformToc B s> e Z d Z e Z d � Z d � Z d � Z e j j e _ RS( s� :class:`BboxTransformTo` is a transformation that linearly transforms points from the unit bounding box to a given :class:`Bbox`. c K s< t j | | � | | _ | j | � d | _ d | _ d S( s� Create a new :class:`BboxTransformTo` that linearly transforms points from the unit bounding box to *boxout*. N( R^ R R� R- RP Rn RZ ( R R� R] ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR 0 s c C s d | j S( Ns BboxTransformTo(%r)( R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� = s c C s� | j r� | j j \ } } } } t rN | d k s? | d k rN t d � � n t j | d | g d | | g d d d g g t j � | _ d | _ d | _ n | j S( Ni s( Transforming to a singular bounding box.g g �?( R R� R� RQ R0 RW R� R� Rn RP RZ ( R R� R� R� R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR8 @ s ( R: RJ RK R� RP R R� R8 R^ ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� ( s t BboxTransformToMaxOnlyc B s/ e Z d Z d � Z d � Z e j j e _ RS( s� :class:`BboxTransformTo` is a transformation that linearly transforms points from the unit bounding box to a given :class:`Bbox` with a fixed upper left of (0, 0). c C s d | j S( Ns BboxTransformToMaxOnly(%r)( R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� U s c C s� | j r� | j j \ } } t rH | d k s9 | d k rH t d � � n t j | d d g d | d g d d d g g t j � | _ d | _ d | _ n | j S( Ni s( Transforming to a singular bounding box.g g �?( R R� Rk RQ R0 RW R� R� Rn RP RZ ( R R� R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR8 X s ( R: RJ RK R� R8 R^ ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� O s t BboxTransformFromc B s> e Z d Z e Z d � Z d � Z d � Z e j j e _ RS( sx :class:`BboxTransformFrom` linearly transforms points from a given :class:`Bbox` to the unit bounding box. c K s< t j | | � | | _ | j | � d | _ d | _ d S( N( R^ R R� R- RP Rn RZ ( R R� R] ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR n s c C s d | j S( Ns BboxTransformFrom(%r)( R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� w s c C s� | j r� | j j \ } } } } t rN | d k s? | d k rN t d � � n d | } d | } t j | d | | g d | | | g d d d g g t j � | _ d | _ d | _ n | j S( Ni s* Transforming from a singular bounding box.g �?g ( R R� R� RQ R0 RW R� R� Rn RP RZ ( R R� R� R� R� R� R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR8 z s ( R: RJ RK R� RP R R� R8 R^ ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� g s t ScaledTranslationc B s8 e Z d Z d � Z d � Z d � Z e j j e _ RS( s� A transformation that translates by *xt* and *yt*, after *xt* and *yt* have been transformad by the given transform *scale_trans*. c K sK t j | | � | | f | _ | | _ | j | � d | _ d | _ d S( N( R^ R t _tt _scale_transR- RP Rn RZ ( R t xtt ytt scale_transR] ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR � s c C s d | j f S( Ns ScaledTranslation(%r)( R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� � s c C s| | j ru | j j | j � \ } } t j d d | g d d | g d d d g g t j � | _ d | _ d | _ n | j S( Ng �?g i ( R R� R= R� RW R� R� Rn RP RZ ( R R� R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR8 � s ( R: RJ RK R R� R8 R^ ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� � s t TransformedPathc B sD e Z d Z d � Z d � Z d � Z d � Z d � Z d � Z RS( s} A :class:`TransformedPath` caches a non-affine transformed copy of the :class:`~matplotlib.path.Path`. This cached copy is automatically updated when the non-affine part of the transform changes. .. note:: Paths are considered immutable by this class. Any update to the path's vertices/codes will not trigger a transform recomputation. c C sB t j | � | | _ | | _ | j | � d | _ d | _ d S( s� Create a new :class:`TransformedPath` from the given :class:`~matplotlib.path.Path` and :class:`Transform`. N( R R t _pathR R- RP t _transformed_patht _transformed_points( R R R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR � s c C s} | j | j @| j k s( | j d k rp | j j | j � | _ t | j j | j j � d | j j � | _ n d | _ d S( Ni ( R RM R� RP R R? R� R R: R� RB R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt _revalidate� s c C s | j � | j | j � f S( s3 Return a copy of the child path, with the non-affine part of the transform already applied, along with the affine part of the path necessary to complete the transformation. Unlike :meth:`get_transformed_path_and_affine`, no interpolation will be performed. ( R� R� R7 ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt! get_transformed_points_and_affine� s c C s | j � | j | j � f S( s� Return a copy of the child path, with the non-affine part of the transform already applied, along with the affine part of the path necessary to complete the transformation. ( R� R� R7 ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt get_transformed_path_and_affine� s c C s | j � | j j | j � S( sD Return a fully-transformed copy of the child path. ( R� R R> R� ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt get_fully_transformed_path� s c C s | j j � S( N( R R7 ( R ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR7 � s ( R: RJ RK R R� R� R� R� R7 ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyR� � s g����MbP?gV瞯�<c C s� t j | � s t j | � r+ | | f St } | | k rS | | } } t } n | | t t | � t | � � | k r� | d k r� | d k r� | } | } q� | | t | � 8} | | t | � 7} n | r� | r� | | } } n | | f S( sa Modify the endpoints of a range as needed to avoid singularities. *vmin*, *vmax* the initial endpoints. *tiny* threshold for the ratio of the interval to the maximum absolute value of its endpoints. If the interval is smaller than this, it will be expanded. This value should be around 1e-15 or larger; otherwise the interval will be approaching the double precision resolution limit. *expander* fractional amount by which *vmin* and *vmax* are expanded if the original interval is too small, based on *tiny*. *increasing*: [True | False] If True (default), swap *vmin*, *vmax* if *vmin* > *vmax* Returns *vmin*, *vmax*, expanded and/or swapped if necessary. If either input is inf or NaN, or if both inputs are 0, returns -*expander*, *expander*. i ( RW t isfiniteRN R� Rk R� ( t vmint vmaxt expandert tinyt increasingt swapped( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt nonsingular� s ) c C sF | \ } } | | k r0 | | k r0 | | k pE | | k oE | | k S( N( ( R RB R� R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt interval_contains s $c C sF | \ } } | | k r0 | | k r0 | | k pE | | k oE | | k S( N( ( R RB R� R� ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt interval_contains_open s $g t inchesc C s� | d k r# | t � j | | � S| d k r> t d � � n | d k ra | d } | d } n | d k s| t d � � n | t | | | j � S( s Return a new transform with an added offset. args: trans is any transform kwargs: fig is the current figure; it can be None if units are 'dots' x, y give the offset units is 'inches', 'points' or 'dots' t dotss3 For units of inches or points a fig kwarg is neededRY g R@R� s% units must be dots, points, or inchesN( R� Rw RP R0 R� t dpi_scale_trans( t transt figR| R t units( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt offset_copy& s (6 RK t __future__R R t numpyRW R t matplotlib._pathR R R t numpy.linalgR t weakrefR RU RH t NameErrort setsR R R RN RQ Rg t objectR RS R[ R R" RQ RY R^ R� R) R R� R� R� R� R# R� R� R� R� R� R� R� R� R� R� RP R� ( ( ( s; /usr/lib64/python2.7/site-packages/matplotlib/transforms.pyt <module> sV �� �� ,� hb;Y�.tF ~; +'$ E-
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