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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.
iN( t ma( t affine_transform( t inv( t WeakKeyDictionary( t Set( t Path( t count_bboxes_overlapping_bboxt update_path_extentst
TransformNodec B s e Z d Z d Z d Z d Z e e BZ e Z e Z e Z
d Z d Z e Z
d Z d Z e o e Z d Z e i e _ n d Z e o g d
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: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 | _ d S( s7
Creates a new :class:`TransformNode`.
i N( R t _parentst _invalid( t self( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt __init__P 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/python2.6/site-packages/matplotlib/transforms.pyt __copy__] s c C s | i o
| i p | i } | i | j o d St | i p | | _ d S| g } x^ t | oP | i } | i | j p
| i o& | i | _ | i | i i q\ q\ Wd S( s
Invalidate this :class:`TransformNode` and all of its
ancestors. Should be called any time the transform changes.
N(
t is_affinet INVALID_AFFINEt INVALIDR
t lenR t popt pass_throught extendt keys( R t valuet stackt root( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt
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c G s" x | D] } d | i | %s [label="%s", fontsize=10];
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c C s d S( N( ( R R9 R; ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR= s ( R, t
__module__t __doc__t _gidt INVALID_NON_AFFINER R t FalseR t is_bboxR R R t __deepcopy__R R t DEBUGR R" R= ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR 6 s*
1t BboxBasec B s e Z d Z e Z e Z e o d Z e e Z n d Z e
i e _ d Z d Z d Z
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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? h 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 explicity.
c C sw t i | o t i d n t i | } | d | d d j p | d | d d j o t i 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/python2.6/site-packages/matplotlib/transforms.pyt _check s c C s t | i i S( N( t Bboxt
get_pointst copy( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR" s c O s
| i S( N( RO ( R R t kwargs( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt __array__ s c C s( t | i i d d d d g j S( sk
Returns True if the :class:`Bbox` is the unit bounding box
from (0, 0) to (1, 1).
g g ?( t listRO t flatten( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt is_unit s c C s | i d S( Ni ( i i ( RO ( R ( ( s; /usr/lib64/python2.6/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 | i d S( Ni i ( i i ( RO ( R ( ( s; /usr/lib64/python2.6/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 | i d S( Ni i ( i i ( RO ( R ( ( s; /usr/lib64/python2.6/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 | i d S( Ni ( i i ( RO ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt _get_y1 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 | i d S( Ni ( RO ( R ( ( s; /usr/lib64/python2.6/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 | i d S( Ni ( RO ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt _get_p1 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 | i d d d f S( Ni ( t minRO ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt _get_xmin# s sF
(property) :attr:`xmin` is the left edge of the bounding box.c C s t | i d d d f S( Ni ( R\ RO ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt _get_ymin( s sH
(property) :attr:`ymin` is the bottom edge of the bounding box.c C s t | i d d d f S( Ni ( t maxRO ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt _get_xmax- s sG
(property) :attr:`xmax` is the right edge of the bounding box.c C s t | i d d d f S( Ni ( R_ RO ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt _get_ymax2 s sE
(property) :attr:`ymax` is the top edge of the bounding box.c C sB t | i d d d f t | i d d d f g S( Ni i ( R\ RO ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt _get_min7 s sV
(property) :attr:`min` is the bottom-left corner of the bounding
box.c C sB t | i d d d f t | i d d d f g S( Ni i ( R_ RO ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt _get_max> s sL
(property) :attr:`max` is the top-right corner of the bounding box.c C s | i d d d f S( Ni ( RO ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt _get_intervalxD 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 | i d d d f S( Ni ( RO ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt _get_intervalyK 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 | i } | d | d S( Ni i ( i i ( i i ( RO ( R RL ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt
_get_widthR s sj
(property) The width of the bounding box. It may be negative if
:attr:`x1` < :attr:`x0`.c C s | i } | d | d S( Ni i ( i i ( i i ( RO ( R RL ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt _get_heightY s sk
(property) The height of the bounding box. It may be negative if
:attr:`y1` < :attr:`y0`.c C s | i } | d | d S( Ni i ( RO ( R RL ( ( s; /usr/lib64/python2.6/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 | i i \ } } } } | | | | | | f S( N( RO RT ( R t x0t y0t x1t y1( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt _get_boundsg s s\
(property) Returns (:attr:`x0`, :attr:`y0`, :attr:`width`,
:attr:`height`).c C s | i i i S( N( RO RT RP ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt _get_extentsn s sM
(property) Returns (:attr:`x0`, :attr:`y0`, :attr:`x1`, :attr:`y1`).c C s t S( N( R
( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyRO s s c C sM | i \ } } | | j o | | j o
| | j p | | j o
| | j S( s_
Returns True if *x* is between or equal to :attr:`x0` and
:attr:`x1`.
( t intervalx( R t xRi Rk ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt containsxv s
c C sM | i \ } } | | j o | | j o
| | j p | | j o
| | j S( s_
Returns True if *y* is between or equal to :attr:`y0` and
:attr:`y1`.
( t intervaly( R t yRj Rl ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt containsy s
c C s | i | o
| i | S( sn
Returns *True* if (*x*, *y*) is a coordinate inside the
bounding box or on its edge.
( Rq Rt ( R Rp Rs ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt contains s c
C s | i \ } } } } | i \ } } } } | | j o | | } } n | | j o | | } } n | | j o | | } } n | | j o | | } } n | | j p$ | | j p | | j p
| | j S( si
Returns True if this bounding box overlaps with the given
bounding box *other*.
( Rn (
R t othert ax1t ay1t ax2t ay2t bx1t by1t bx2t by2( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt overlaps s
c C sM | i \ } } | | j o | | j o
| | j p | | j o
| | j S( sd
Returns True if *x* is between but not equal to :attr:`x0` and
:attr:`x1`.
( Ro ( R Rp Ri Rk ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt fully_containsx s
c C sM | i \ } } | | j o t | j o
t | j p t | j o
t | j S( sd
Returns True if *y* is between but not equal to :attr:`y0` and
:attr:`y1`.
( Rr Rp ( R Rs Rj Rl ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt fully_containsy s
c C s | i | o
| i | S( sr
Returns True if (*x*, *y*) is a coordinate inside the bounding
box, but not on its edge.
( R R ( R Rp Rs ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt fully_contains s c
C s | i \ } } } } | i \ } } } } | | j o | | } } n | | j o | | } } n | | j o | | } } n | | j o | | } } n | | j p$ | | j p | | j p
| | j S( s
Returns True if this bounding box overlaps with the given
bounding box *other*, but not on its edge alone.
( Rn (
R Rv Rw Rx Ry Rz R{ R| R} R~ ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt fully_overlaps s
c C s t | i | i S( sk
Return a new :class:`Bbox` object, statically transformed by
the given transform.
( RN t transformRO ( R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt transformed s c C s t | i i | i S( sz
Return a new :class:`Bbox` object, statically transformed by
the inverse of the given transform.
( RN t invertedR RO ( R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt inverse_transformed s g ?t Ci t SWt Sg ?t SEt Et NEt Nt NWt Wc
C s | d j o
| } n | i \ } } } } t | t o | i | \ } } n
| \ } } | i \ } }
} } t | i | | | | | | | | | |
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( R t boundst
isinstancet strt coefsRN t _points(
R t ct containert lt bt wt ht cxt cyt Lt BR t H( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt anchored s
c C s? | i \ } } t | i d | i 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 sizeRN R ( R t mxt myR R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt shrunk s
c C s | d j o
| } n | i \ } } | | | } | | j o
| } n | | | } | } t | i d | i 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( R R RN R ( R t
box_aspectR t
fig_aspectR R R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt shrunk_to_aspect s
c G s g } d g t | d g } | i \ } } } } | | } xZ t | d | d D]A \ } }
| i 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( RS Rn t zipt appendRN ( R R t boxest xfRi Rj Rk Rl R t xf0t xf1( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt splitx3 s
9c
G s g } d g t | d g } | i \ } } } } | | } xZ t | d | d D]A \ } }
| i 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( RS Rn R R RN ( R R R t yfRi Rj Rk Rl R t yf0t yf1( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt splityC s
9c C s t | d j o d St i | } | i \ } } } } t i | d d d f | } t i | d d d f | } t i | d d d f | } t i | d d d f | } t | | t | | d j }
t i |
S( sx
Count the number of vertices contained in the :class:`Bbox`.
*vertices* is a Nx2 Numpy array.
i Ni i ( R RJ RK Rn t signt abst sum( R t verticesRi Rj Rk Rl t dx0t dy0t dx1t dy1t inside( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt count_containsS 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/python2.6/site-packages/matplotlib/transforms.pyt count_overlapsd s c C sj | i } | i } | | | d } | | | d } t i | | g | | g g } t | i | 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 heightRJ t arrayRN R ( R t swt shR R t deltawt deltaht a( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt expandedl s #c C s. | i } t | | | g | | g g S( si
Return a new :class:`Bbox` that is padded on all four sides by
the given value.
( RO RN ( R t pRL ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt paddedy s c C s t | i | | f S( se
Return a copy of the :class:`Bbox`, statically translated by
*tx* and *ty*.
( RN R ( R t txt ty( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt
translated s c C sO | i i \ } } } } t i | | 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*).
( RO RT RJ R ( R R R t rt t( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt corners s c C sJ | i } t i | i | } t i } | i | 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 RN t unitt update_from_data_xyt True( R t radiansR t corners_rotatedt bbox( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt rotated s
c C s t | d j o | d St i } t i } t i } t i } x | D] } | i } | d d d f } | d d d f } t | t i | } t | t i | } t | t i | } t | t i | } qI Wt i | | | | S( sO
Return a :class:`Bbox` that contains all of the given bboxes.
i i N( R RJ t infRO R\ R_ RN t from_extents( R Ri Rj Rk Rl R RL t xst ys( ( s; /usr/lib64/python2.6/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, R> R? R RC R RE RM t staticmethodR" R RR RU RV t propertyR Ri RW Rj RX Rk RY Rl RZ t p0R[ t p1R] t xminR^ t yminR` t xmaxRa t ymaxRb R\ Rc R_ Rd Ro Re Rr Rf R Rg R Rh R Rm R Rn t extentsRO Rq Rt Ru R R R R R R R R R R R R R R R R R R R R R ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyRF s
!
RN c B s# e Z d Z d Z e o e Z d Z d Z n e i d d g d d g g e i Z
e d Z e d Z
e d Z d Z e Z d
Z d d Z d e e d Z d e e d
Z d Z e e i e Z d Z e e i e Z d Z e e i e Z! d Z" e e i# e" Z$ d Z% e e i& e% Z' d Z( e e i) e( Z* d Z+ e e i, e+ Z- d Z. e e i/ e. Z0 d Z1 e e i2 e1 Z3 d Z4 e e4 Z5 d Z6 e e6 Z7 d Z8 e e8 Z9 d Z: d Z; d Z< RS( s!
A mutable bounding box.
c C sJ t i | t i | t i | _ t i d d g | _ t | _ 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`.
gHz>N(
RF R RJ RK t float_R R t _minposR t _ignore( R RL ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s
c C s | i | | i | d S( N( RM t ___init__( R RL ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s
c C s! | i | i t i | d S( N( RM R R R ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s g g ?c C s t t i i S( s_
(staticmethod) Create a new unit :class:`Bbox` from (0, 0) to
(1, 1).
( RN t _unit_valuesRP ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s c C s t i | | | | | | S( s
(staticmethod) Create a new :class:`Bbox` from *x0*, *y0*,
*width* and *height*.
*width* and *height* may be negative.
( RN R ( Ri Rj R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt from_bounds s c G s. t i | d t i i d d } t | S( s
(staticmethod) Create a new Bbox from *left*, *bottom*,
*right* and *top*.
The *y*-axis increases upwards.
t dtypei ( RJ R R t reshapeRN ( R RL ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s $c C s d t | i S( Ns Bbox(%s)( t reprR ( R ( ( s; /usr/lib64/python2.6/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/python2.6/site-packages/matplotlib/transforms.pyR s c C s\ t i d t i | i t | d f | i t | d f f } | i | | 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 ( RH RI RJ t hstackR R R ( R Rp Rs R t xy( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt update_from_data s ?c C s | d j o
| i } n | i i d j o d St | d | i | i | \ } } } | o | i | o> | d d d f | i d d d f <| d | i d | d d d f | i d d d f <| d | i d R? R RE R R RJ R R R R R R R R t __str__R R R R R R R R RF RV Ri R RW Rj R RX Rk R RY Rl R RZ R R R[ R R Rd Ro R Re Rr R Rm R R R R t minposxR t minposyRO R
R< ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyRN sV
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t TransformedBboxc B sX e Z d Z d Z d Z e Z d Z e i i e _ e o 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 C s< t i | | | _ | | _ | i | | d | _ d S( s]
*bbox*: a child :class:`Bbox`
*transform*: a 2D :class:`Transform`
N( RF R t _bboxt
_transformR R R ( R R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s
c C s d | i | i f S( Ns TransformedBbox(%s, %s)( R R ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s c C sW | i oF | i i | i i } t i i | d } | | _ d | _ n | i S( Ng i ( R
R R R RO RJ R t filledR ( R RL ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyRO s
c C s | i } | i | | S( N( t _get_pointsRM ( R RL ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyRO s
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R, R> R? R R R RO RN RE R ( ( ( s; /usr/lib64/python2.6/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 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 :meth:`has_inverse` can return True)
If the transform needs to do something non-standard with
:class:`mathplotlib.path.Path` objects, such as adding curves
where there were once line segments, it should override:
- :meth:`transform_path`
c C s8 t | t o 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 Rv ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt __add__ s c C s8 t | t o 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 Rv ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt __radd__
s c O s | i i S( sP
Used by C/C++ -based backends to get at the array matrix data.
( R" RR ( R R RQ ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyRR s c C s
t d 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`).
N( R
( R t values( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s c C s | 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`).
( ( R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt transform_affine& s c C s
| i | 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 R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt transform_non_affine7 s c C s t S( s8
Get the affine part of this transform.
( t IdentityTransform( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt
get_affineG s c C s | i t i | 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 RJ RK ( R t point( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt transform_pointM s
c C s" t | i | i | i | i S( s
Returns a transformed copy of path.
*path*: a :class:`~matplotlib.path.Path` instance.
In some cases, this transform may insert curves into the path
that began as line segments.
( R R R t codest _interpolation_steps( R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt transform_pathY s c C s | S( s
Returns a copy of 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))``.
( ( R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt transform_path_affinee s
c C s" t | i | i | i | i S( s!
Returns a copy of 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 R R! ( R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt transform_path_non_affineq s
gh㈵>c
C s | i d j p | i d j o t d n | p | d t i } n | | t i t i | t i | f } | i | } | i | } | | } t i | d d d f | d d d f } | p | d t i } 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_dimst output_dimsR
RJ t pit c_t cost sinR t arctan2(
R t anglest ptsR t pushofft pts2t tptst tpts2t dR ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt transform_angles~ 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/python2.6/site-packages/matplotlib/transforms.pyR s
N( R, R> R? R R% R& RB t has_inverset is_separableR R RR R R R R R R" R# R$ R3 R ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s$
9t TransformWrapperc B s e Z d Z e Z e Z d Z d Z e Z d Z
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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 i | | i | _ | i | _ | i | d | _ d S( st
*child*: A class:`Transform` instance. This child may later
be replaced with :meth:`set`.
i N( R R R% R& t _setR
( R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s
c C s d | i S( Ns TransformWrapper(%r)( t _child( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s c C s
| i i S( N( R8 R" ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR" s c C sz | | _ | i | | i | _ | i | _ | i | _ | i | _ | i | _ | i | _ | i | _ | i | _ d S( N(
R8 R R R R R" R# R$ R R ( R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR7 s
c C s- | i | d | _ | i 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( R7 R
R ( R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR< s
c C s
| i i S( N( R8 R5 ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt _get_is_separable s c C s
| i i S( N( R8 R4 ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt _get_has_inverse s ( R, R> R? R R RB R R R R R" R R7 R< R9 R R5 R: R4 ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR6 s
t
AffineBasec B s e Z d Z e Z d Z d Z e d Z d Z d Z
e i
i e
_ d Z e i i e _ d Z
e i
i e
_ d Z e i i e _ RS( sW
The base class of all affine transformations of any number of
dimensions.
c C s t i | d | _ d S( N( R R R t _inverted( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s
c O s
| i S( N( t
get_matrix( R R RQ ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyRR s c C s t i | | S( sj
Concatenates two transformation matrices (represented as numpy
arrays) together.
( RJ t dot( R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt _concat s c C s
t d S( sL
Get the underlying transformation matrix as a numpy array.
N( R
( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR= & s c C s | S( N( ( R RL ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR , s c C s
| i | S( N( R" ( R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR# 0 s c C s | S( N( ( R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR$ 4 s c C s | S( N( ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR 8 s ( R, R> R? R R R RR R R? R= R R R# R$ R ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR; s t Affine2DBasec B s e Z d Z d Z d Z d Z e i i e _ d Z e e Z d Z
d Z e d Z
d Z d Z e i i e _ e o e Z d Z n e i i e _ e Z e i i e _ d
Z e i i 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 | i i S( N( R R= RP ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR" V s c C s+ | i } | d d j o | d d j S( Ni i g ( i i ( i i ( R= ( R t mtx( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR9 Z s c O s
| i S( N( R= ( R R RQ ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyRR _ s c C s, | i } t | d i d d i S( sM
Return the values of the matrix as a sequence (a,b,c,d,e,f)
i i i ( R= t tuplet swapaxesRT ( R RA ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt to_valuesb s c C s7 t i | | | g | | | g d d d g g t i 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 ?( RJ R R ( R R R R2 t et f( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt matrix_from_valuesi s
c C sX | i } t | t o/ t | i | } t i | d t i | St | | S( Nt mask( R= R t MaskedArrayR t dataR t getmask( R RL RA t tpoints( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR u s
c C s | i } t | | S( N( R= R ( R R RA ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR | s c C sQ t i | o3 t | t i o t i d d t t n | i | S( Ns/ A non-numpy array of type %s was passed in for s% transformation. Please correct this.(
R RG R RJ t ndarrayRH RI R R R ( R RL ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s c C sO | i d j p
| i o. | i } t t | | _ d | _ n | i S( Ni ( R< R R
R= R R ( R RA ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s
( R, R> R? R% R& R" R; R9 R R5 RR RD R RG R R RE R R R ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR@ = s*
R c B s e Z d Z d d Z d Z e 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 C sc t i | | d j o t i d } n! t o t i | t i } 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 R RJ t identityRE RK R t _mtxR
( R t matrix( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s
c C s d t | i S( Ns Affine2D(%s)( R RO ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s c C s8 t | t o$ | i | i j i o d Sd S( Ni i( R R R= t all( R Rv ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt __cmp__ s c C s= t t i | | | | | | d d d g t i i 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 RJ R R R ( R R R R2 RE RF ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt from_values s
0c C s d | _ | i S( s
Get the underlying transformation matrix as a 3x3 numpy array::
a c e
b d f
0 0 1
i ( R
RO ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR= s c C s | | _ | i d S( s
Set the underlying transformation matrix from a 3x3 numpy array::
a c e
b d f
0 0 1
N( RO R ( R RA ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt
set_matrix s c C s | i | _ | i d S( so
Set this transformation from the frozen copy of another
:class:`Affine2DBase` object.
N( R= RO R ( R Rv ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR< s c C s t t i 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 RJ RN ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyRN s c C s t i d | _ | i | S( sH
Reset the underlying matrix to the identity transform.
i ( RJ RN RO R ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt clear s
c C s~ t i | } t i | } t i | | d g | | d g d d d g g t i } t i | | i | _ | i | 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 ?( RJ R) R* R R R> RO R ( R t thetaR R t
rotate_mtx( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s (
c C s | i | t i 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 RJ R' ( R t degrees( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt
rotate_deg s c C s' | i | | i | i | | 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 Rp Rs RV ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt
rotate_around s c C s' | i | | i | i | | 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`.
( RZ RY ( R Rp Rs RX ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt rotate_deg_around# s c C s_ t i d d | g d d | g d d d g g t i } t i | | i | _ | i | 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 ( RJ R R R> RO R ( R R R t
translate_mtx( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyRZ - s '
c C sv | d j o
| } n t i | d d g d | d g d d d g g t i } t i | | i | _ | i | 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( R RJ R R R> RO R ( R t sxt syt scale_mtx( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt scale< s
'
c C s+ | i } | d d j o | d d j S( Ni i g ( i i ( i i ( R= ( R RA ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR9 P s N( R, R> R? R R R R RR R RS R= RT R< RN RU R RY R[ R\ RZ Ra R9 R R5 ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s&
R c B s
e Z d Z e i d Z d Z e i i e _ d Z e Z d Z
e i
i e
_ d Z e i i e _ e Z e i i e _ e Z
e i
i e
_ d Z e i i e _ e Z e i i e _ e Z e i i e _ d Z e i i e _ e Z e i i 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/python2.6/site-packages/matplotlib/transforms.pyR" ] s c C s d S( Ns IdentityTransform()( ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR a s c C s | i S( N( RO ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR= e s c C s | S( N( ( R RL ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR i s c C s | S( N( ( R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR" s s c C s | S( N( ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR } s ( R, R> R? RJ RN RO R" R@ R R R= R R R R" R# R$ R R ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR V s0 t BlendedGenericTransformc B s e Z d Z d Z d Z e Z e Z d Z d Z e
e Z d Z e
i i e _ d Z e Z d Z e
i i e _ d Z e
i i e _ d Z e
i i e _ d Z e
i i e _ d
Z e
i i 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 C s< t i | | | _ | | _ | i | | 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 R t _affine( R t x_transformt y_transform( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s
c C s | i i o
| i i S( N( Rc R Rd ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt _get_is_affine s c C s t | i i | i i S( N( t blended_transform_factoryRc R" Rd ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR" s c C s d | i | i f S( Ns BlendedGenericTransform(%s,%s)( Rc Rd ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s c C st | i } | i } | | j o | i d j o | i | S| i d j o) | i | d d d d f } n; | i | d d d f } | i t | d f } | i d j o) | i | d d d d f } n; | i | d d d f } | i t | d f } t | t p t | t o t i | | f d St
i | | f d Sd S( Ni i i ( Rc Rd R% R R R R RI R t concatenateRJ ( R RL Rp Rs t x_pointst y_points( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s ) ) c C s | i i | S( N( R R ( R RL ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s c C s, | i i o | i i o | S| i | S( N( Rc R Rd R ( R RL ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s c C s t | i i | i i S( N( Rb Rc R Rd ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s c C s | i p | i d j o | i i o | i i o | i | i j o | i i | _ q | i i i } | i i i } t i | d | d d d d g f } t
| | _ n
t | _ d | _ n | i S( Ni i g g ?( R
Re R Rc R Rd R R= RJ t vstackR R ( R t x_mtxt y_mtxRA ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s )
( R, R> R? R% R& R R5 R R Rh R R R" R R R R R R R R ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyRb s, t BlendedAffine2Dc B sD e Z d Z e Z d Z d Z e Z d Z e i i 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 C sI t i | | | _ | | _ | i | | t i | 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 Rc Rd R R@ R RO ( R Rf Rg ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s
c C s d | i | i f S( Ns BlendedAffine2D(%s,%s)( Rc Rd ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s c C s | i o | i | i j o | i i | _ nK | i i } | i i } t i | d | d d d d g f | _ d | _ d | _ n | i S( Ni i g g ?( R
Rc Rd R= RO RJ Rm R R< ( R Rn Ro ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR= s
,
(
R, R> R? R R5 R R R R= R@ ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyRp s c C s; t | t o t | t o 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@ Rp Rb ( Rf Rg ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyRi & s t CompositeGenericTransformc B s. e Z d Z e Z d Z d Z e i i e _ d Z e e Z
d Z e e Z d Z
e
Z d Z e i i e _ d Z e i i e _ d Z e i i e _ d Z e i i e _ d
Z e i i e _ d Z e i i e _ d Z e i i e _ d
Z e i i e _ RS( s
A composite transform formed by applying transform *a* then
transform *b*.
This "generic" version can handle any two arbitrary
transformations.
c C sK | i | _ | i | _ t i | | | _ | | _ | i | | 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( R% R& R R t _at _bR ( R R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR > s
c C sI d | _ t | i i | i i } t | t p | i S| S( Ni ( R
R Rr R" Rs R Rq ( R R" ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR" Q s
! c C s | i i o
| i i S( N( Rr R Rs ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyRh Y s c C s | i i o
| i i S( N( Rr R5 Rs ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR9 ] s c C s d | i | i f S( Ns! CompositeGenericTransform(%s, %s)( Rr Rs ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR a s c C s | i i | i i | S( N( Rs R Rr ( R RL ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR e s c C s | i i | S( N( R R ( R RL ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR j s c C s; | i i o | i i o | S| i i | i i | S( N( Rr R Rs R R ( R RL ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR n s c C s | i i | i i | S( N( Rs R" Rr ( R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR" u s c C s | i i | i i | S( N( Rs R# Rr R" ( R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR# z s c C s; | i i o | i i o | S| i i | i i | S( N( Rr R Rs R$ R" ( R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR$ s c C s` | i i oB | i i o5 t t i | i i i | i i i S| i i Sd S( N( Rr R Rs R RJ R> R R= ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s c C s t | i i | i i S( N( Rq Rs R Rr ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s ( R, R> R? R R R R" R Rh R R R9 R5 R R R R R R" R# R$ R R ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyRq 4 s6 t CompositeAffine2Dc B s> e Z d Z d Z d Z e Z d Z e i i 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 C sT | i | _ | i | _ t i | | | _ | | _ | i | | 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( R% R& R@ R Rr Rs R R RO ( R R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s
c C s d | i | i f S( Ns CompositeAffine2D(%s, %s)( Rr Rs ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s c C sN | i o= t i | i i | i i | _ d | _ d | _ n | i S( Ni ( R
RJ R> Rs R= Rr RO R R< ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR= s
( R, R> R? R R R R= R@ ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyRt s c C se t | t o | St | t o | St | t o t | t o 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; Rt Rq ( R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s t
BboxTransformc B sD e Z d Z e Z d Z d Z e Z d Z e i i e _ RS( sp
:class:`BboxTransform` linearly transforms points from one
:class:`Bbox` to another :class:`Bbox`.
c C sE t i | | | _ | | _ | i | | d | _ d | _ d S( sw
Create a new :class:`BboxTransform` that linearly transforms
points from *boxin* to *boxout*.
N( R@ R t _boxint _boxoutR R RO R< ( R t boxint boxout( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s
c C s d | i | i f S( Ns BboxTransform(%s, %s)( Rv Rw ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s c C s | i o | i i \ } } } } | i i \ } } } } | | } | | }
t o* | d j p
|
d j o t d n t i | d | | | g d |
| |
| g d d d g g t i | _ d | _ d | _ n | i S( Ni s0 Transforming from or to a singular bounding box.g g ?( R
Rv R Rw RE t
ValueErrorRJ R R RO R R< ( R t inlt inbt inwt inht outlt outbt outwt outht x_scalet y_scale( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR= s
!
(
R, R> R? R R5 R R R R= R@ ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyRu s t BboxTransformToc B sD e Z d Z e Z d Z d Z e Z d Z e i i e _ RS( s
:class:`BboxTransformTo` is a transformation that linearly
transforms points from the unit bounding box to a given
:class:`Bbox`.
c C s9 t i | | | _ | i | d | _ d | _ d S( s
Create a new :class:`BboxTransformTo` that linearly transforms
points from the unit bounding box to *boxout*.
N( R@ R Rw R R RO R< ( R Ry ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s
c C s d | i S( Ns BboxTransformTo(%s)( Rw ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s c C s | i o | i i \ } } } } t o* | d j p
| d j o t d n t i | d | g d | | g d d d g g t i | _ d | _
d | _ n | i S( Ni s( Transforming to a singular bounding box.g g ?( R
Rw R RE Rz RJ R R RO R R< ( R R R R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR= s
!
(
R, R> R? R R5 R R R R= R@ ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s
t BboxTransformFromc B sD e Z d Z e Z d Z d Z e Z d Z e i i e _ RS( sx
:class:`BboxTransformFrom` linearly transforms points from a given
:class:`Bbox` to the unit bounding box.
c C s9 t i | | | _ | i | d | _ d | _ d S( N( R@ R Rv R R RO R< ( R Rx ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR 3 s
c C s d | i S( Ns BboxTransformFrom(%s)( Rv ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR < s c C s | i o | i i \ } } } } t o* | d j p
| d j o t d n d | } d | } t i | d | | g d | | | g d d d g g t i | _ d | _
d | _ n | i S( Ni s* Transforming from a singular bounding box.g ?g ( R
Rv R RE Rz RJ R R RO R R< ( R R{ R| R} R~ R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR= @ s
!
(
R, R> R? R R5 R R R R= R@ ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR , s t ScaledTranslationc B s> e Z d Z d Z d Z e Z d Z e i i 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 C sH t i | | | f | _ | | _ | i | d | _ d | _ d S( N( R@ R t _tt _scale_transR R RO R< ( R t xtt ytt scale_trans( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR V s
c C s d | i f S( Ns ScaledTranslation(%s)( R ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR ^ s c C s~ | i om | i i | i \ } } t i d d | g d d | g d d d g g t i | _ d | _ d | _ n | i S( Ng ?g i (
R
R R R RJ R R RO R R< ( R R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR= b s
( R, R> R? R R R R= R@ ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR Q 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.
c C sB t i | | | _ | | _ | i | 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 R t _transformed_patht _transformed_points( R R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR v s
c C s | i | i @| i j p | i d j oI | i i | i | _ t | i i | i i d | i i
| _ n d | _ d S( Ni ( R
RA R R R R$ R R R R R! R ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt _revalidate s c C s | i | i | i 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 R ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt! get_transformed_points_and_affine s
c C s | i | i | i 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 R ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt get_transformed_path_and_affine s
c C sb | i | i @| i j p | i d j o | i i | i | _ n d | _ | i i | i S( sD
Return a fully-transformed copy of the child path.
i N( R
RA R R R R$ R R# ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt get_fully_transformed_path s
c C s
| i i S( N( R R ( R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR s ( R, R> R? R R R R R R ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyR o s
gMbP?gV瞯 vmax, they will be swapped,
regardless of whether they are too close.
If either is inf or -inf or nan, return - expander, expander.
g ( RJ t isfiniteRB R R_ R ( t vmint vmaxt expandert tinyt
increasingt swapped( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt nonsingular s
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*
c C sJ | \ } } | | j o | | j o
| | j p | | j o
| | j S( N( ( R R6 R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt interval_contains s 'c C sJ | \ } } | | j o | | j o
| | j p | | j o
| | j S( N( ( R R6 R R ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt interval_contains_open s 'g t inchesc C s | d j o | t i | | S| d j o t d n | d j o | d :} | d :} n | d j p t d n | t | | | i 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 neededRL g R@R s% units must be dots, points, or inchesN( R RZ R Rz R t dpi_scale_trans( t transt figRp Rs t units( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt offset_copy s
(3 R? t numpyRJ R t matplotlib._pathR t numpy.linalgR t weakrefR RH R< t NameErrort setsR t cbookR R R R R RB RE RI t objectR RF RN R R R6 R; R@ R R Rb Rp Ri Rq Rt R Ru R R R R R R R R R ( ( ( s; /usr/lib64/python2.6/site-packages/matplotlib/transforms.pyt sV +L-_/g: _. ,(% B