77Mercator Projection.
88
99Unless you are making special use of the `~.Transform` class, you probably
10- don't need to use this verbose method, and instead can use
11- `~.matplotlib.scale.FuncScale` and the ``'function'`` option of
12- `~.matplotlib.axes.Axes.set_xscale` and `~.matplotlib.axes.Axes.set_yscale`.
10+ don't need to use this verbose method, and instead can use `~.scale.FuncScale`
11+ and the ``'function'`` option of `~.Axes.set_xscale` and `~.Axes.set_yscale`.
1312See the last example in :doc:`/gallery/scales/scales`.
1413"""
1514
1615import numpy as np
1716from numpy import ma
1817from matplotlib import scale as mscale
1918from matplotlib import transforms as mtransforms
20- from matplotlib .ticker import Formatter , FixedLocator
21- from matplotlib import rcParams
22-
23-
24- # BUG: this example fails with any other setting of axisbelow
25- rcParams ['axes.axisbelow' ] = False
19+ from matplotlib .ticker import FixedLocator , FuncFormatter
2620
2721
2822class MercatorLatitudeScale (mscale .ScaleBase ):
2923 """
3024 Scales data in range -pi/2 to pi/2 (-90 to 90 degrees) using
31- the system used to scale latitudes in a Mercator projection.
25+ the system used to scale latitudes in a Mercator__ projection.
3226
3327 The scale function:
3428 ln(tan(y) + sec(y))
@@ -40,8 +34,7 @@ class MercatorLatitudeScale(mscale.ScaleBase):
4034 there is user-defined threshold, above and below which nothing
4135 will be plotted. This defaults to +/- 85 degrees.
4236
43- source:
44- http://en.wikipedia.org/wiki/Mercator_projection
37+ __ http://en.wikipedia.org/wiki/Mercator_projection
4538 """
4639
4740 # The scale class must have a member ``name`` that defines the string used
@@ -77,21 +70,16 @@ def set_default_locators_and_formatters(self, axis):
7770 scale. This is only required if the scale requires custom
7871 locators and formatters. Writing custom locators and
7972 formatters is rather outside the scope of this example, but
80- there are many helpful examples in ``ticker.py` `.
73+ there are many helpful examples in :mod:`.ticker `.
8174
82- In our case, the Mercator example uses a fixed locator from
83- -90 to 90 degrees and a custom formatter class to put convert
84- the radians to degrees and put a degree symbol after the
85- value::
75+ In our case, the Mercator example uses a fixed locator from -90 to 90
76+ degrees and a custom formatter to convert the radians to degrees and
77+ put a degree symbol after the value.
8678 """
87- class DegreeFormatter (Formatter ):
88- def __call__ (self , x , pos = None ):
89- return "%d\N{DEGREE SIGN} " % np .degrees (x )
90-
91- axis .set_major_locator (FixedLocator (
92- np .radians (np .arange (- 90 , 90 , 10 ))))
93- axis .set_major_formatter (DegreeFormatter ())
94- axis .set_minor_formatter (DegreeFormatter ())
79+ fmt = FuncFormatter (
80+ lambda x , pos = None : f"{ np .degrees (x ):.0f} \N{DEGREE SIGN} " )
81+ axis .set (major_locator = FixedLocator (np .radians (range (- 90 , 90 , 10 ))),
82+ major_formatter = fmt , minor_formatter = fmt )
9583
9684 def limit_range_for_scale (self , vmin , vmax , minpos ):
9785 """
@@ -122,25 +110,24 @@ def __init__(self, thresh):
122110
123111 def transform_non_affine (self , a ):
124112 """
125- This transform takes an Nx1 ``numpy`` array and returns a
126- transformed copy. Since the range of the Mercator scale
127- is limited by the user-specified threshold, the input
128- array must be masked to contain only valid values.
129- ``matplotlib`` will handle masked arrays and remove the
130- out-of-range data from the plot. Importantly, the
131- ``transform`` method *must* return an array that is the
132- same shape as the input array, since these values need to
133- remain synchronized with values in the other dimension.
113+ This transform takes a numpy array and returns a transformed copy.
114+ Since the range of the Mercator scale is limited by the
115+ user-specified threshold, the input array must be masked to
116+ contain only valid values. Matplotlib will handle masked arrays
117+ and remove the out-of-range data from the plot. However, the
118+ returned array *must* have the same shape as the input array, since
119+ these values need to remain synchronized with values in the other
120+ dimension.
134121 """
135122 masked = ma .masked_where ((a < - self .thresh ) | (a > self .thresh ), a )
136123 if masked .mask .any ():
137- return ma .log (np .abs (ma .tan (masked ) + 1.0 / ma .cos (masked )))
124+ return ma .log (np .abs (ma .tan (masked ) + 1 / ma .cos (masked )))
138125 else :
139- return np .log (np .abs (np .tan (a ) + 1.0 / np .cos (a )))
126+ return np .log (np .abs (np .tan (a ) + 1 / np .cos (a )))
140127
141128 def inverted (self ):
142129 """
143- Override this method so matplotlib knows how to get the
130+ Override this method so Matplotlib knows how to get the
144131 inverse transform for this transform.
145132 """
146133 return MercatorLatitudeScale .InvertedMercatorLatitudeTransform (
@@ -161,7 +148,7 @@ def inverted(self):
161148
162149
163150# Now that the Scale class has been defined, it must be registered so
164- # that ``matplotlib`` can find it.
151+ # that Matplotlib can find it.
165152mscale .register_scale (MercatorLatitudeScale )
166153
167154
@@ -176,7 +163,7 @@ def inverted(self):
176163
177164 plt .xlabel ('Longitude' )
178165 plt .ylabel ('Latitude' )
179- plt .title ('Mercator: Projection of the Oppressor ' )
166+ plt .title ('Mercator projection ' )
180167 plt .grid (True )
181168
182169 plt .show ()
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