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"""
Classes to support contour plotting and labelling for the Axes class.
"""
from
contextlib
import
ExitStack
import
functools
import
math
from
numbers
import
Integral
import
numpy
as
np
from
numpy
import
ma
import
matplotlib
as
mpl
from
matplotlib
import
_api
,
_docstring
from
matplotlib
.
backend_bases
import
MouseButton
from
matplotlib
.
lines
import
Line2D
from
matplotlib
.
path
import
Path
from
matplotlib
.
text
import
Text
import
matplotlib
.
ticker
as
ticker
import
matplotlib
.
cm
as
cm
import
matplotlib
.
colors
as
mcolors
import
matplotlib
.
collections
as
mcoll
import
matplotlib
.
font_manager
as
font_manager
import
matplotlib
.
cbook
as
cbook
import
matplotlib
.
patches
as
mpatches
import
matplotlib
.
transforms
as
mtransforms
from
.
import
artist
def
_contour_labeler_event_handler
(
cs
,
inline
,
inline_spacing
,
event
):
canvas
=
cs
.
axes
.
get_figure
(
root
=
True
).
canvas
is_button
=
event
.
name
==
"button_press_event"
is_key
=
event
.
name
==
"key_press_event"
# Quit (even if not in infinite mode; this is consistent with
# MATLAB and sometimes quite useful, but will require the user to
# test how many points were actually returned before using data).
if
(
is_button
and
event
.
button
==
MouseButton
.
MIDDLE
or
is_key
and
event
.
key
in
[
"escape"
,
"enter"
]):
canvas
.
stop_event_loop
()
# Pop last click.
elif
(
is_button
and
event
.
button
==
MouseButton
.
RIGHT
or
is_key
and
event
.
key
in
[
"backspace"
,
"delete"
]):
# Unfortunately, if one is doing inline labels, then there is currently
# no way to fix the broken contour - once humpty-dumpty is broken, he
# can't be put back together. In inline mode, this does nothing.
if
not
inline
:
cs
.
pop_label
()
canvas
.
draw
()
# Add new click.
elif
(
is_button
and
event
.
button
==
MouseButton
.
LEFT
# On macOS/gtk, some keys return None.
or
is_key
and
event
.
key
is
not
None
):
if
cs
.
axes
.
contains
(
event
)[
0
]:
cs
.
add_label_near
(
event
.
x
,
event
.
y
,
transform
=
False
,
inline
=
inline
,
inline_spacing
=
inline_spacing
)
canvas
.
draw
()
class
ContourLabeler
:
"""Mixin to provide labelling capability to `.ContourSet`."""
def
clabel
(
self
,
levels
=
None
,
*
,
fontsize
=
None
,
inline
=
True
,
inline_spacing
=
5
,
fmt
=
None
,
colors
=
None
,
use_clabeltext
=
False
,
manual
=
False
,
rightside_up
=
True
,
zorder
=
None
):
"""
Label a contour plot.
Adds labels to line contours in this `.ContourSet` (which inherits from
this mixin class).
Parameters
----------
levels : array-like, optional
A list of level values, that should be labeled. The list must be
a subset of ``cs.levels``. If not given, all levels are labeled.
fontsize : str or float, default: :rc:`font.size`
Size in points or relative size e.g., 'small', 'x-large'.
See `.Text.set_size` for accepted string values.
colors : :mpltype:`color` or colors or None, default: None
The label colors:
- If *None*, the color of each label matches the color of
the corresponding contour.
- If one string color, e.g., *colors* = 'r' or *colors* =
'red', all labels will be plotted in this color.
- If a tuple of colors (string, float, RGB, etc), different labels
will be plotted in different colors in the order specified.
inline : bool, default: True
If ``True`` the underlying contour is removed where the label is
placed.
inline_spacing : float, default: 5
Space in pixels to leave on each side of label when placing inline.
This spacing will be exact for labels at locations where the
contour is straight, less so for labels on curved contours.
fmt : `.Formatter` or str or callable or dict, optional
How the levels are formatted:
- If a `.Formatter`, it is used to format all levels at once, using
its `.Formatter.format_ticks` method.
- If a str, it is interpreted as a %-style format string.
- If a callable, it is called with one level at a time and should
return the corresponding label.
- If a dict, it should directly map levels to labels.
The default is to use a standard `.ScalarFormatter`.
manual : bool or iterable, default: False
If ``True``, contour labels will be placed manually using
mouse clicks. Click the first button near a contour to
add a label, click the second button (or potentially both
mouse buttons at once) to finish adding labels. The third
button can be used to remove the last label added, but
only if labels are not inline. Alternatively, the keyboard
can be used to select label locations (enter to end label
placement, delete or backspace act like the third mouse button,
and any other key will select a label location).
*manual* can also be an iterable object of (x, y) tuples.
Contour labels will be created as if mouse is clicked at each
(x, y) position.
rightside_up : bool, default: True
If ``True``, label rotations will always be plus
or minus 90 degrees from level.
use_clabeltext : bool, default: False
If ``True``, use `.Text.set_transform_rotates_text` to ensure that
label rotation is updated whenever the Axes aspect changes.
zorder : float or None, default: ``(2 + contour.get_zorder())``
zorder of the contour labels.
Returns
-------
labels
A list of `.Text` instances for the labels.
Note: The returned Text instances should not be individually
removed or have their geometry modified, e.g. by changing text or font size.
If you need such a modification, remove the entire
`.ContourSet` and recreate it.
"""
if
self
.
filled
:
_api
.
warn_deprecated
(
"3.11"
,
message
=
"clabel() is not designed to be used with filled contours and "
"may result in inconsistent plots. Applying clabel() to filled "
"contours is thus deprecated since %(since)s. If you need "
"labels with filled contours, instead draw contour lines "
"using contour() in addition to contourf() and add the labels "
"to the contour lines."
)
# Based on the input arguments, clabel() adds a list of "label
# specific" attributes to the ContourSet object. These attributes are
# all of the form label* and names should be fairly self explanatory.
#
# Once these attributes are set, clabel passes control to the labels()
# method (for automatic label placement) or blocking_input_loop and
# _contour_labeler_event_handler (for manual label placement).
if
fmt
is
None
:
fmt
=
ticker
.
ScalarFormatter
(
useOffset
=
False
)
fmt
.
create_dummy_axis
()
self
.
labelFmt
=
fmt
self
.
_use_clabeltext
=
use_clabeltext
self
.
labelManual
=
manual
self
.
rightside_up
=
rightside_up
self
.
_clabel_zorder
=
2
+
self
.
get_zorder
()
if
zorder
is
None
else
zorder
if
levels
is
None
:
levels
=
self
.
levels
indices
=
list
(
range
(
len
(
self
.
cvalues
)))
else
:
levlabs
=
list
(
levels
)
indices
,
levels
=
[], []
for
i
,
lev
in
enumerate
(
self
.
levels
):
if
lev
in
levlabs
:
indices
.
append
(
i
)
levels
.
append
(
lev
)
if
len
(
levels
)
<
len
(
levlabs
):
raise
ValueError
(
f"Specified levels
{
levlabs
}
don't match "
f"available levels
{
self
.
levels
}
"
)
self
.
labelLevelList
=
levels
self
.
labelIndiceList
=
indices
self
.
_label_font_props
=
font_manager
.
FontProperties
(
size
=
fontsize
)
if
colors
is
None
:
self
.
labelMappable
=
self
self
.
labelCValueList
=
np
.
take
(
self
.
cvalues
,
self
.
labelIndiceList
)
else
:
# handling of explicit colors for labels:
# make labelCValueList contain integers [0, 1, 2, ...] and a cmap
# so that cmap(i) == colors[i]
num_levels
=
len
(
self
.
labelLevelList
)
colors
=
cbook
.
_resize_sequence
(
mcolors
.
to_rgba_array
(
colors
),
num_levels
)
self
.
labelMappable
=
cm
.
ScalarMappable
(
cmap
=
mcolors
.
ListedColormap
(
colors
),
norm
=
mcolors
.
NoNorm
())
self
.
labelCValueList
=
list
(
range
(
num_levels
))
self
.
labelXYs
=
[]
if
np
.
iterable
(
manual
):
for
x
,
y
in
manual
:
self
.
add_label_near
(
x
,
y
,
inline
,
inline_spacing
)
elif
manual
:
print
(
'Select label locations manually using first mouse button.'
)
print
(
'End manual selection with second mouse button.'
)
if
not
inline
:
print
(
'Remove last label by clicking third mouse button.'
)
mpl
.
_blocking_input
.
blocking_input_loop
(
self
.
axes
.
get_figure
(
root
=
True
),
[
"button_press_event"
,
"key_press_event"
],
timeout
=
-
1
,
handler
=
functools
.
partial
(
_contour_labeler_event_handler
,
self
,
inline
,
inline_spacing
))
else
:
self
.
labels
(
inline
,
inline_spacing
)
return
cbook
.
silent_list
(
'text.Text'
,
self
.
labelTexts
)
def
print_label
(
self
,
linecontour
,
labelwidth
):
"""Return whether a contour is long enough to hold a label."""
return
(
len
(
linecontour
)
>
10
*
labelwidth
or
(
len
(
linecontour
)
and
(
np
.
ptp
(
linecontour
,
axis
=
0
)
>
1.2
*
labelwidth
).
any
()))
def
too_close
(
self
,
x
,
y
,
lw
):
"""Return whether a label is already near this location."""
thresh
=
(
1.2
*
lw
)
**
2
return
any
((
x
-
loc
[
0
])
**
2
+
(
y
-
loc
[
1
])
**
2
<
thresh
for
loc
in
self
.
labelXYs
)
def
_get_nth_label_width
(
self
,
nth
):
"""Return the width of the *nth* label, in pixels."""
fig
=
self
.
axes
.
get_figure
(
root
=
False
)
renderer
=
fig
.
get_figure
(
root
=
True
).
_get_renderer
()
return
(
Text
(
0
,
0
,
self
.
get_text
(
self
.
labelLevelList
[
nth
],
self
.
labelFmt
),
figure
=
fig
,
fontproperties
=
self
.
_label_font_props
)
.
get_window_extent
(
renderer
).
width
)
def
get_text
(
self
,
lev
,
fmt
):
"""Get the text of the label."""
if
isinstance
(
lev
,
str
):
return
lev
elif
isinstance
(
fmt
,
dict
):
return
fmt
.
get
(
lev
,
'%1.3f'
)
elif
callable
(
getattr
(
fmt
,
"format_ticks"
,
None
)):
return
fmt
.
format_ticks
([
*
self
.
labelLevelList
,
lev
])[
-
1
]
elif
callable
(
fmt
):
return
fmt
(
lev
)
else
:
return
fmt
%
lev
def
locate_label
(
self
,
linecontour
,
labelwidth
):
"""
Find good place to draw a label (relatively flat part of the contour).
"""
ctr_size
=
len
(
linecontour
)
n_blocks
=
int
(
np
.
ceil
(
ctr_size
/
labelwidth
))
if
labelwidth
>
1
else
1
block_size
=
ctr_size
if
n_blocks
==
1
else
int
(
labelwidth
)
# Split contour into blocks of length ``block_size``, filling the last
# block by cycling the contour start (per `np.resize` semantics). (Due
# to cycling, the index returned is taken modulo ctr_size.)
xx
=
np
.
resize
(
linecontour
[:,
0
], (
n_blocks
,
block_size
))
yy
=
np
.
resize
(
linecontour
[:,
1
], (
n_blocks
,
block_size
))
yfirst
=
yy
[:, :
1
]
ylast
=
yy
[:,
-
1
:]
xfirst
=
xx
[:, :
1
]
xlast
=
xx
[:,
-
1
:]
s
=
(
yfirst
-
yy
)
*
(
xlast
-
xfirst
)
-
(
xfirst
-
xx
)
*
(
ylast
-
yfirst
)
l
=
np
.
hypot
(
xlast
-
xfirst
,
ylast
-
yfirst
)
# Ignore warning that divide by zero throws, as this is a valid option
with
np
.
errstate
(
divide
=
'ignore'
,
invalid
=
'ignore'
):
distances
=
(
abs
(
s
)
/
l
).
sum
(
axis
=
-
1
)
# Labels are drawn in the middle of the block (``hbsize``) where the
# contour is the closest (per ``distances``) to a straight line, but
# not `too_close()` to a preexisting label.
hbsize
=
block_size
//
2
adist
=
np
.
argsort
(
distances
)
# If all candidates are `too_close()`, go back to the straightest part
# (``adist[0]``).
for
idx
in
np
.
append
(
adist
,
adist
[
0
]):
x
,
y
=
xx
[
idx
,
hbsize
],
yy
[
idx
,
hbsize
]
if
not
self
.
too_close
(
x
,
y
,
labelwidth
):
break
return
x
,
y
, (
idx
*
block_size
+
hbsize
)
%
ctr_size
def
_split_path_and_get_label_rotation
(
self
,
path
,
idx
,
screen_pos
,
lw
,
spacing
=
5
):
"""
Prepare for insertion of a label at index *idx* of *path*.
Parameters
----------
path : Path
The path where the label will be inserted, in data space.
idx : int
The vertex index after which the label will be inserted.
screen_pos : (float, float)
The position where the label will be inserted, in screen space.
lw : float
The label width, in screen space.
spacing : float
Extra spacing around the label, in screen space.
Returns
-------
path : Path
The path, broken so that the label can be drawn over it.
angle : float
The rotation of the label.
Notes
-----
Both tasks are done together to avoid calculating path lengths multiple times,
which is relatively costly.
The method used here involves computing the path length along the contour in
pixel coordinates and then looking (label width / 2) away from central point to
determine rotation and then to break contour if desired. The extra spacing is
taken into account when breaking the path, but not when computing the angle.
"""
xys
=
path
.
vertices
codes
=
path
.
codes
# Insert a vertex at idx/pos (converting back to data space), if there isn't yet
# a vertex there. With infinite precision one could also always insert the
# extra vertex (it will get masked out by the label below anyways), but floating
# point inaccuracies (the point can have undergone a data->screen->data
# transform loop) can slightly shift the point and e.g. shift the angle computed
# below from exactly zero to nonzero.
pos
=
self
.
get_transform
().
inverted
().
transform
(
screen_pos
)
if
not
np
.
allclose
(
pos
,
xys
[
idx
]):
xys
=
np
.
insert
(
xys
,
idx
,
pos
,
axis
=
0
)
codes
=
np
.
insert
(
codes
,
idx
,
Path
.
LINETO
)
# Find the connected component where the label will be inserted. Note that a
# path always starts with a MOVETO, and we consider there's an implicit
# MOVETO (closing the last path) at the end.
movetos
=
(
codes
==
Path
.
MOVETO
).
nonzero
()[
0
]
start
=
movetos
[
movetos
<=
idx
][
-
1
]
try
:
stop
=
movetos
[
movetos
>
idx
][
0
]
except
IndexError
:
stop
=
len
(
codes
)
# Restrict ourselves to the connected component.
cc_xys
=
xys
[
start
:
stop
]
idx
-=
start
# If the path is closed, rotate it s.t. it starts at the label.
is_closed_path
=
codes
[
stop
-
1
]
==
Path
.
CLOSEPOLY
if
is_closed_path
:
cc_xys
=
np
.
concatenate
([
cc_xys
[
idx
:
-
1
],
cc_xys
[:
idx
+
1
]])
idx
=
0
# Like np.interp, but additionally vectorized over fp.
def
interp_vec
(
x
,
xp
,
fp
):
return
[
np
.
interp
(
x
,
xp
,
col
)
for
col
in
fp
.
T
]
# Use cumulative path lengths ("cpl") as curvilinear coordinate along contour.
screen_xys
=
self
.
get_transform
().
transform
(
cc_xys
)
path_cpls
=
np
.
insert
(
np
.
cumsum
(
np
.
hypot
(
*
np
.
diff
(
screen_xys
,
axis
=
0
).
T
)),
0
,
0
)
path_cpls
-=
path_cpls
[
idx
]
# Use linear interpolation to get end coordinates of label.
target_cpls
=
np
.
array
([
-
lw
/
2
,
lw
/
2
])
if
is_closed_path
:
# For closed paths, target from the other end.
target_cpls
[
0
]
+=
(
path_cpls
[
-
1
]
-
path_cpls
[
0
])
(
sx0
,
sx1
), (
sy0
,
sy1
)
=
interp_vec
(
target_cpls
,
path_cpls
,
screen_xys
)
angle
=
np
.
rad2deg
(
np
.
arctan2
(
sy1
-
sy0
,
sx1
-
sx0
))
# Screen space.
if
self
.
rightside_up
:
# Fix angle so text is never upside-down
angle
=
(
angle
+
90
)
%
180
-
90
target_cpls
+=
[
-
spacing
,
+
spacing
]
# Expand range by spacing.
# Get indices near points of interest; use -1 as out of bounds marker.
i0
,
i1
=
np
.
interp
(
target_cpls
,
path_cpls
,
range
(
len
(
path_cpls
)),
left
=
-
1
,
right
=
-
1
)
i0
=
math
.
floor
(
i0
)
i1
=
math
.
ceil
(
i1
)
(
x0
,
x1
), (
y0
,
y1
)
=
interp_vec
(
target_cpls
,
path_cpls
,
cc_xys
)
# Actually break contours (dropping zero-len parts).
new_xy_blocks
=
[]
new_code_blocks
=
[]
if
is_closed_path
:
if
i0
!=
-
1
and
i1
!=
-
1
:
# This is probably wrong in the case that the entire contour would
# be discarded, but ensures that a valid path is returned and is
# consistent with behavior of mpl <3.8
points
=
cc_xys
[
i1
:
i0
+
1
]
new_xy_blocks
.
extend
([[(
x1
,
y1
)],
points
, [(
x0
,
y0
)]])
nlines
=
len
(
points
)
+
1
new_code_blocks
.
extend
([[
Path
.
MOVETO
], [
Path
.
LINETO
]
*
nlines
])
else
:
if
i0
!=
-
1
:
new_xy_blocks
.
extend
([
cc_xys
[:
i0
+
1
], [(
x0
,
y0
)]])
new_code_blocks
.
extend
([[
Path
.
MOVETO
], [
Path
.
LINETO
]
*
(
i0
+
1
)])
if
i1
!=
-
1
:
new_xy_blocks
.
extend
([[(
x1
,
y1
)],
cc_xys
[
i1
:]])
new_code_blocks
.
extend
([
[
Path
.
MOVETO
], [
Path
.
LINETO
]
*
(
len
(
cc_xys
)
-
i1
)])
# Back to the full path.
xys
=
np
.
concatenate
([
xys
[:
start
],
*
new_xy_blocks
,
xys
[
stop
:]])
codes
=
np
.
concatenate
([
codes
[:
start
],
*
new_code_blocks
,
codes
[
stop
:]])
return
angle
,
Path
(
xys
,
codes
)
def
add_label
(
self
,
x
,
y
,
rotation
,
lev
,
cvalue
):
"""Add a contour label, respecting whether *use_clabeltext* was set."""
data_x
,
data_y
=
self
.
axes
.
transData
.
inverted
().
transform
((
x
,
y
))
t
=
Text
(
data_x
,
data_y
,
text
=
self
.
get_text
(
lev
,
self
.
labelFmt
),
rotation
=
rotation
,
horizontalalignment
=
'center'
,
verticalalignment
=
'center'
,
zorder
=
self
.
_clabel_zorder
,
color
=
self
.
labelMappable
.
to_rgba
(
cvalue
,
alpha
=
self
.
get_alpha
()),
fontproperties
=
self
.
_label_font_props
,
clip_box
=
self
.
axes
.
bbox
)
if
self
.
_use_clabeltext
:
data_rotation
,
=
self
.
axes
.
transData
.
inverted
().
transform_angles
(
[
rotation
], [[
x
,
y
]])
t
.
set
(
rotation
=
data_rotation
,
transform_rotates_text
=
True
)
self
.
labelTexts
.
append
(
t
)
self
.
labelCValues
.
append
(
cvalue
)
self
.
labelXYs
.
append
((
x
,
y
))
# Add label to plot here - useful for manual mode label selection
self
.
axes
.
add_artist
(
t
)
def
add_label_near
(
self
,
x
,
y
,
inline
=
True
,
inline_spacing
=
5
,
transform
=
None
):
"""
Add a label near the point ``(x, y)``.
Parameters
----------
x, y : float
The approximate location of the label.
inline : bool, default: True
If *True* remove the segment of the contour beneath the label.
inline_spacing : int, default: 5
Space in pixels to leave on each side of label when placing
inline. This spacing will be exact for labels at locations where
the contour is straight, less so for labels on curved contours.
transform : `.Transform` or `False`, default: ``self.axes.transData``
A transform applied to ``(x, y)`` before labeling. The default
causes ``(x, y)`` to be interpreted as data coordinates. `False`
is a synonym for `.IdentityTransform`; i.e. ``(x, y)`` should be
interpreted as display coordinates.
"""
if
transform
is
None
:
transform
=
self
.
axes
.
transData
if
transform
:
x
=
self
.
axes
.
convert_xunits
(
x
)
y
=
self
.
axes
.
convert_yunits
(
y
)
x
,
y
=
transform
.
transform
((
x
,
y
))
idx_level_min
,
idx_vtx_min
,
proj
=
self
.
_find_nearest_contour
(
(
x
,
y
),
self
.
labelIndiceList
)
path
=
self
.
_paths
[
idx_level_min
]
level
=
self
.
labelIndiceList
.
index
(
idx_level_min
)
label_width
=
self
.
_get_nth_label_width
(
level
)
rotation
,
path
=
self
.
_split_path_and_get_label_rotation
(
path
,
idx_vtx_min
,
proj
,
label_width
,
inline_spacing
)
self
.
add_label
(
*
proj
,
rotation
,
self
.
labelLevelList
[
level
],
self
.
labelCValueList
[
level
])
if
inline
:
self
.
_paths
[
idx_level_min
]
=
path
def
pop_label
(
self
,
index
=
-
1
):
"""Defaults to removing last label, but any index can be supplied"""
self
.
labelCValues
.
pop
(
index
)
t
=
self
.
labelTexts
.
pop
(
index
)
t
.
remove
()
def
labels
(
self
,
inline
,
inline_spacing
):
for
idx
, (
icon
,
lev
,
cvalue
)
in
enumerate
(
zip
(
self
.
labelIndiceList
,
self
.
labelLevelList
,
self
.
labelCValueList
,
)):
trans
=
self
.
get_transform
()
label_width
=
self
.
_get_nth_label_width
(
idx
)
additions
=
[]
for
subpath
in
self
.
_paths
[
icon
].
_iter_connected_components
():
screen_xys
=
trans
.
transform
(
subpath
.
vertices
)
# Check if long enough for a label
if
self
.
print_label
(
screen_xys
,
label_width
):
x
,
y
,
idx
=
self
.
locate_label
(
screen_xys
,
label_width
)
rotation
,
path
=
self
.
_split_path_and_get_label_rotation
(
subpath
,
idx
, (
x
,
y
),
label_width
,
inline_spacing
)
self
.
add_label
(
x
,
y
,
rotation
,
lev
,
cvalue
)
# Really add label.
if
inline
:
# If inline, add new contours
additions
.
append
(
path
)
else
:
# If not adding label, keep old path
additions
.
append
(
subpath
)
# After looping over all segments on a contour, replace old path by new one
# if inlining.
if
inline
:
self
.
_paths
[
icon
]
=
Path
.
make_compound_path
(
*
additions
)
def
remove
(
self
):
super
().
remove
()
for
text
in
self
.
labelTexts
:
try
:
text
.
remove
()
except
ValueError
:
_api
.
warn_external
(
"Some labels were manually removed from the ContourSet. "
"To remove labels cleanly, remove the entire ContourSet "
"and recreate it."
)
self
.
labelTexts
.
clear
()
def
_find_closest_point_on_path
(
xys
,
p
):
"""
Parameters
----------
xys : (N, 2) array-like
Coordinates of vertices.
p : (float, float)
Coordinates of point.
Returns
-------
d2min : float
Minimum square distance of *p* to *xys*.
proj : (float, float)
Projection of *p* onto *xys*.
imin : (int, int)
Consecutive indices of vertices of segment in *xys* where *proj* is.
Segments are considered as including their end-points; i.e. if the
closest point on the path is a node in *xys* with index *i*, this
returns ``(i-1, i)``. For the special case where *xys* is a single
point, this returns ``(0, 0)``.
"""
if
len
(
xys
)
==
1
:
return
(((
p
-
xys
[
0
])
**
2
).
sum
(),
xys
[
0
], (
0
,
0
))
dxys
=
xys
[
1
:]
-
xys
[:
-
1
]
# Individual segment vectors.
norms
=
(
dxys
**
2
).
sum
(
axis
=
1
)
norms
[
norms
==
0
]
=
1
# For zero-length segment, replace 0/0 by 0/1.
rel_projs
=
np
.
clip
(
# Project onto each segment in relative 0-1 coords.
((
p
-
xys
[:
-
1
])
*
dxys
).
sum
(
axis
=
1
)
/
norms
,
0
,
1
)[:,
None
]
projs
=
xys
[:
-
1
]
+
rel_projs
*
dxys
# Projs. onto each segment, in (x, y).
d2s
=
((
projs
-
p
)
**
2
).
sum
(
axis
=
1
)
# Squared distances.
imin
=
np
.
argmin
(
d2s
)
return
(
d2s
[
imin
],
projs
[
imin
], (
imin
,
imin
+
1
))
_docstring
.
interpd
.
register
(
contour_set_attributes
=
r"""
Attributes
----------
levels : array
The values of the contour levels.
layers : array
Same as levels for line contours; half-way between
levels for filled contours. See ``ContourSet._process_colors``.
"""
)
@
_docstring
.
interpd
class
ContourSet
(
ContourLabeler
,
mcoll
.
Collection
):
"""
Store a set of contour lines or filled regions.
User-callable method: `~.Axes.clabel`
Parameters
----------
ax : `~matplotlib.axes.Axes`
levels : [level0, level1, ..., leveln]
A list of floating point numbers indicating the contour levels.
allsegs : [level0segs, level1segs, ...]
List of all the polygon segments for all the *levels*.
For contour lines ``len(allsegs) == len(levels)``, and for
filled contour regions ``len(allsegs) = len(levels)-1``. The lists
should look like ::
level0segs = [polygon0, polygon1, ...]
polygon0 = [[x0, y0], [x1, y1], ...]
allkinds : ``None`` or [level0kinds, level1kinds, ...]
Optional list of all the polygon vertex kinds (code types), as
described and used in Path. This is used to allow multiply-
connected paths such as holes within filled polygons.
If not ``None``, ``len(allkinds) == len(allsegs)``. The lists
should look like ::
level0kinds = [polygon0kinds, ...]
polygon0kinds = [vertexcode0, vertexcode1, ...]
If *allkinds* is not ``None``, usually all polygons for a
particular contour level are grouped together so that
``level0segs = [polygon0]`` and ``level0kinds = [polygon0kinds]``.
**kwargs
Keyword arguments are as described in the docstring of
`~.Axes.contour`.
%(contour_set_attributes)s
"""
def
__init__
(
self
,
ax
,
*
args
,
levels
=
None
,
filled
=
False
,
linewidths
=
None
,
linestyles
=
None
,
hatches
=
(
None
,),
alpha
=
None
,
origin
=
None
,
extent
=
None
,
cmap
=
None
,
colors
=
None
,
norm
=
None
,
vmin
=
None
,
vmax
=
None
,
colorizer
=
None
,
extend
=
'neither'
,
antialiased
=
None
,
nchunk
=
0
,
locator
=
None
,
transform
=
None
,
negative_linestyles
=
None
,
**
kwargs
):
"""
Draw contour lines or filled regions, depending on
whether keyword arg *filled* is ``False`` (default) or ``True``.
Call signature::
ContourSet(ax, levels, allsegs, [allkinds], **kwargs)
Parameters
----------
ax : `~matplotlib.axes.Axes`
The `~.axes.Axes` object to draw on.
levels : [level0, level1, ..., leveln]
A list of floating point numbers indicating the contour
levels.
allsegs : [level0segs, level1segs, ...]
List of all the polygon segments for all the *levels*.
For contour lines ``len(allsegs) == len(levels)``, and for
filled contour regions ``len(allsegs) = len(levels)-1``. The lists
should look like ::
level0segs = [polygon0, polygon1, ...]
polygon0 = [[x0, y0], [x1, y1], ...]
allkinds : [level0kinds, level1kinds, ...], optional
Optional list of all the polygon vertex kinds (code types), as
described and used in Path. This is used to allow multiply-
connected paths such as holes within filled polygons.
If not ``None``, ``len(allkinds) == len(allsegs)``. The lists
should look like ::
level0kinds = [polygon0kinds, ...]
polygon0kinds = [vertexcode0, vertexcode1, ...]
If *allkinds* is not ``None``, usually all polygons for a
particular contour level are grouped together so that
``level0segs = [polygon0]`` and ``level0kinds = [polygon0kinds]``.
**kwargs
Keyword arguments are as described in the docstring of
`~.Axes.contour`.
"""
if
antialiased
is
None
and
filled
:
# Eliminate artifacts; we are not stroking the boundaries.
antialiased
=
False
# The default for line contours will be taken from the
# LineCollection default, which uses :rc:`lines.antialiased`.
super
().
__init__
(
antialiaseds
=
antialiased
,
alpha
=
alpha
,
transform
=
transform
,
colorizer
=
colorizer
,
)
self
.
axes
=
ax
self
.
levels
=
levels
self
.
filled
=
filled
self
.
hatches
=
hatches
self
.
origin
=
origin
self
.
extent
=
extent
self
.
colors
=
colors
self
.
extend
=
extend
self
.
nchunk
=
nchunk
self
.
locator
=
locator
if
"color"
in
kwargs
:
raise
_api
.
kwarg_error
(
"ContourSet.__init__"
,
"color"
)
if
colorizer
:
self
.
_set_colorizer_check_keywords
(
colorizer
,
cmap
=
cmap
,
norm
=
norm
,
vmin
=
vmin
,
vmax
=
vmax
,
colors
=
colors
)
norm
=
colorizer
.
norm
cmap
=
colorizer
.
cmap
if
(
isinstance
(
norm
,
mcolors
.
LogNorm
)
or
isinstance
(
self
.
locator
,
ticker
.
LogLocator
)):
self
.
logscale
=
True
if
norm
is
None
:
norm
=
mcolors
.
LogNorm
()
else
:
self
.
logscale
=
False
_api
.
check_in_list
([
None
,
'lower'
,
'upper'
,
'image'
],
origin
=
origin
)
if
self
.
extent
is
not
None
and
len
(
self
.
extent
)
!=
4
:
raise
ValueError
(
"If given, 'extent' must be None or (x0, x1, y0, y1)"
)
if
self
.
colors
is
not
None
and
cmap
is
not
None
:
raise
ValueError
(
'Either colors or cmap must be None'
)
if
self
.
origin
==
'image'
:
self
.
origin
=
mpl
.
rcParams
[
'image.origin'
]
self
.
_orig_linestyles
=
linestyles
# Only kept for user access.
self
.
negative_linestyles
=
mpl
.
_val_or_rc
(
negative_linestyles
,
'contour.negative_linestyle'
)
kwargs
=
self
.
_process_args
(
*
args
,
**
kwargs
)
self
.
_process_levels
()
self
.
_extend_min
=
self
.
extend
in
[
'min'
,
'both'
]
self
.
_extend_max
=
self
.
extend
in
[
'max'
,
'both'
]
if
self
.
colors
is
not
None
:
if
mcolors
.
is_color_like
(
self
.
colors
):
color_sequence
=
[
self
.
colors
]
else
:
color_sequence
=
self
.
colors
ncolors
=
len
(
self
.
levels
)
if
self
.
filled
:
ncolors
-=
1
i0
=
0
# Handle the case where colors are given for the extended
# parts of the contour.
use_set_under_over
=
False
# if we are extending the lower end, and we've been given enough
# colors then skip the first color in the resulting cmap. For the
# extend_max case we don't need to worry about passing more colors
# than ncolors as ListedColormap will clip.
total_levels
=
(
ncolors
+
int
(
self
.
_extend_min
)
+
int
(
self
.
_extend_max
))
if
(
len
(
color_sequence
)
==
total_levels
and
(
self
.
_extend_min
or
self
.
_extend_max
)):
use_set_under_over
=
True
if
self
.
_extend_min
:
i0
=
1
cmap
=
mcolors
.
ListedColormap
(
cbook
.
_resize_sequence
(
color_sequence
[
i0
:],
ncolors
),
under
=
(
color_sequence
[
0
]
if
use_set_under_over
and
self
.
_extend_min
else
None
),
over
=
(
color_sequence
[
-
1
]
if
use_set_under_over
and
self
.
_extend_max
else
None
),
)
# label lists must be initialized here
self
.
labelTexts
=
[]
self
.
labelCValues
=
[]
self
.
set_cmap
(
cmap
)
if
norm
is
not
None
:
self
.
set_norm
(
norm
)
with
self
.
norm
.
callbacks
.
blocked
(
signal
=
"changed"
):
if
vmin
is
not
None
:
self
.
norm
.
vmin
=
vmin
if
vmax
is
not
None
:
self
.
norm
.
vmax
=
vmax
self
.
norm
.
_changed
()
self
.
_process_colors
()
if
self
.
_paths
is
None
:
self
.
_paths
=
self
.
_make_paths_from_contour_generator
()
if
self
.
filled
:
if
linewidths
is
not
None
:
_api
.
warn_external
(
'linewidths is ignored by contourf'
)
# Lower and upper contour levels.
lowers
,
uppers
=
self
.
_get_lowers_and_uppers
()
self
.
set
(
edgecolor
=
"none"
)
else
:
self
.
set
(
facecolor
=
"none"
,
linewidths
=
self
.
_process_linewidths
(
linewidths
),
linestyle
=
self
.
_process_linestyles
(
linestyles
),
label
=
"_nolegend_"
,
# Default zorder taken from LineCollection, which is higher
# than for filled contours so that lines are displayed on top.
zorder
=
2
,
)
self
.
set
(
**
kwargs
)
# Let user-set values override defaults.
self
.
axes
.
add_collection
(
self
,
autolim
=
False
)
self
.
sticky_edges
.
x
[:]
=
[
self
.
_mins
[
0
],
self
.
_maxs
[
0
]]
self
.
sticky_edges
.
y
[:]
=
[
self
.
_mins
[
1
],
self
.
_maxs
[
1
]]
self
.
axes
.
update_datalim
([
self
.
_mins
,
self
.
_maxs
])
self
.
axes
.
autoscale_view
(
tight
=
True
)
self
.
changed
()
# set the colors
allsegs
=
property
(
lambda
self
: [
[
subp
.
vertices
for
subp
in
p
.
_iter_connected_components
()]
for
p
in
self
.
get_paths
()])
allkinds
=
property
(
lambda
self
: [
[
subp
.
codes
for
subp
in
p
.
_iter_connected_components
()]
for
p
in
self
.
get_paths
()])
alpha
=
property
(
lambda
self
:
self
.
get_alpha
())
linestyles
=
property
(
lambda
self
:
self
.
_orig_linestyles
)
def
get_transform
(
self
):
"""Return the `.Transform` instance used by this ContourSet."""
if
self
.
_transform
is
None
:
self
.
_transform
=
self
.
axes
.
transData
elif
(
not
isinstance
(
self
.
_transform
,
mtransforms
.
Transform
)
and
hasattr
(
self
.
_transform
,
'_as_mpl_transform'
)):
self
.
_transform
=
self
.
_transform
.
_as_mpl_transform
(
self
.
axes
)
return
self
.
_transform
def
__getstate__
(
self
):
state
=
self
.
__dict__
.
copy
()
# the C object _contour_generator cannot currently be pickled. This
# isn't a big issue as it is not actually used once the contour has
# been calculated.
state
[
'_contour_generator'
]
=
None
return
state
def
legend_elements
(
self
,
variable_name
=
'x'
,
str_format
=
str
):
"""
Return a list of artists and labels suitable for passing through
to `~.Axes.legend` which represent this ContourSet.
The labels have the form "0 < x <= 1" stating the data ranges which
the artists represent.
Parameters
----------
variable_name : str
The string used inside the inequality used on the labels.
str_format : function: float -> str
Function used to format the numbers in the labels.
Returns
-------
artists : list[`.Artist`]
A list of the artists.
labels : list[str]
A list of the labels.
"""
artists
=
[]
labels
=
[]
if
self
.
filled
:
lowers
,
uppers
=
self
.
_get_lowers_and_uppers
()
n_levels
=
len
(
self
.
_paths
)
for
idx
in
range
(
n_levels
):
artists
.
append
(
mpatches
.
Rectangle
(
(
0
,
0
),
1
,
1
,
facecolor
=
self
.
get_facecolor
()[
idx
],
hatch
=
self
.
hatches
[
idx
%
len
(
self
.
hatches
)],
))
lower
=
str_format
(
lowers
[
idx
])
upper
=
str_format
(
uppers
[
idx
])
if
idx
==
0
and
self
.
extend
in
(
'min'
,
'both'
):
labels
.
append
(
fr'$
{
variable_name
}
\leq
{
lower
}
s$'
)
elif
idx
==
n_levels
-
1
and
self
.
extend
in
(
'max'
,
'both'
):
labels
.
append
(
fr'$
{
variable_name
}
>
{
upper
}
s$'
)
else
:
labels
.
append
(
fr'$
{
lower
}
<
{
variable_name
}
\leq
{
upper
}
$'
)
else
:
for
idx
,
level
in
enumerate
(
self
.
levels
):
artists
.
append
(
Line2D
(
[], [],
color
=
self
.
get_edgecolor
()[
idx
],
linewidth
=
self
.
get_linewidths
()[
idx
],
linestyle
=
self
.
get_linestyles
()[
idx
],
))
labels
.
append
(
fr'$
{
variable_name
}
=
{
str_format
(
level
)
}
$'
)
return
artists
,
labels
def
_process_args
(
self
,
*
args
,
**
kwargs
):
"""
Process *args* and *kwargs*; override in derived classes.
Must set self.levels, self.zmin and self.zmax, and update Axes limits.
"""
self
.
levels
=
args
[
0
]
allsegs
=
args
[
1
]
allkinds
=
args
[
2
]
if
len
(
args
)
>
2
else
None
self
.
zmax
=
np
.
max
(
self
.
levels
)
self
.
zmin
=
np
.
min
(
self
.
levels
)
if
allkinds
is
None
:
allkinds
=
[[
None
]
*
len
(
segs
)
for
segs
in
allsegs
]
# Check lengths of levels and allsegs.
if
self
.
filled
:
if
len
(
allsegs
)
!=
len
(
self
.
levels
)
-
1
:
raise
ValueError
(
'must be one less number of segments as '
'levels'
)
else
:
if
len
(
allsegs
)
!=
len
(
self
.
levels
):
raise
ValueError
(
'must be same number of segments as levels'
)
# Check length of allkinds.
if
len
(
allkinds
)
!=
len
(
allsegs
):
raise
ValueError
(
'allkinds has different length to allsegs'
)
# Determine x, y bounds and update axes data limits.
flatseglist
=
[
s
for
seg
in
allsegs
for
s
in
seg
]
points
=
np
.
concatenate
(
flatseglist
,
axis
=
0
)
self
.
_mins
=
points
.
min
(
axis
=
0
)
self
.
_maxs
=
points
.
max
(
axis
=
0
)
# Each entry in (allsegs, allkinds) is a list of (segs, kinds): segs is a list
# of (N, 2) arrays of xy coordinates, kinds is a list of arrays of corresponding
# pathcodes. However, kinds can also be None; in which case all paths in that
# list are codeless (this case is normalized above). These lists are used to
# construct paths, which then get concatenated.
self
.
_paths
=
[
Path
.
make_compound_path
(
*
map
(
Path
,
segs
,
kinds
))
for
segs
,
kinds
in
zip
(
allsegs
,
allkinds
)]
return
kwargs
def
_make_paths_from_contour_generator
(
self
):
"""Compute ``paths`` using C extension."""
if
self
.
_paths
is
not
None
:
return
self
.
_paths
cg
=
self
.
_contour_generator
empty_path
=
Path
(
np
.
empty
((
0
,
2
)))
vertices_and_codes
=
(
map
(
cg
.
create_filled_contour
,
*
self
.
_get_lowers_and_uppers
())
if
self
.
filled
else
map
(
cg
.
create_contour
,
self
.
levels
))
return
[
Path
(
np
.
concatenate
(
vs
),
np
.
concatenate
(
cs
))
if
len
(
vs
)
else
empty_path
for
vs
,
cs
in
vertices_and_codes
]
def
_get_lowers_and_uppers
(
self
):
"""
Return ``(lowers, uppers)`` for filled contours.
"""
lowers
=
self
.
_levels
[:
-
1
]
if
self
.
zmin
==
lowers
[
0
]:
# Include minimum values in lowest interval
lowers
=
lowers
.
copy
()
# so we don't change self._levels
if
self
.
logscale
:
lowers
[
0
]
=
0.99
*
self
.
zmin
else
:
lowers
[
0
]
-=
1
uppers
=
self
.
_levels
[
1
:]
return
(
lowers
,
uppers
)
def
changed
(
self
):
if
not
hasattr
(
self
,
"cvalues"
):
self
.
_process_colors
()
# Sets cvalues.
# Force an autoscale immediately because self.to_rgba() calls
# autoscale_None() internally with the data passed to it,
# so if vmin/vmax are not set yet, this would override them with
# content from *cvalues* rather than levels like we want
self
.
norm
.
autoscale_None
(
self
.
levels
)
self
.
set_array
(
self
.
cvalues
)
self
.
update_scalarmappable
()
alphas
=
np
.
broadcast_to
(
self
.
get_alpha
(),
len
(
self
.
cvalues
))
for
label
,
cv
,
alpha
in
zip
(
self
.
labelTexts
,
self
.
labelCValues
,
alphas
):
label
.
set_alpha
(
alpha
)
label
.
set_color
(
self
.
labelMappable
.
to_rgba
(
cv
))
super
().
changed
()
def
_ensure_locator_exists
(
self
,
N
):
"""
Set a locator on this ContourSet if it's not already set.
Parameters
----------
N : int or None
If *N* is an int, it is used as the target number of levels.
Otherwise when *N* is None, a reasonable default is chosen;
for logscales the LogLocator chooses, N=7 is the default
otherwise.
"""
if
self
.
locator
is
None
:
if
self
.
logscale
:
self
.
locator
=
ticker
.
LogLocator
(
numticks
=
N
)
else
:
if
N
is
None
:
N
=
7
# Hard coded default
self
.
locator
=
ticker
.
MaxNLocator
(
N
+
1
,
min_n_ticks
=
1
)
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