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Colormap extension (#1424)

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* extend ColorMap functionality for palette management

* manual merge with changes in master branch

* extend ColorMap functionality for palette management

* manual merge with changes in master branch

* light mode / dark mode swapping demo

* color map updates

* added ColorCET and Matplotlib import for color maps

* minor cleanup

* restored lost indent

* Code cleanup

* Add colorcet as optional dependency

Co-authored-by: Ogi Moore <ognyan.moore@gmail.com>
This commit is contained in:
Nils Nemitz 2021-01-05 15:01:30 +09:00 committed by GitHub
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1
README.md
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@ -43,6 +43,7 @@ Currently this means:
* `pyopengl` for 3D graphics
* `pyopengl` on macOS Big Sur only works with python 3.9.1+
* `hdf5` for large hdf5 binary format support
* `colorcet` for supplimental colormaps
Qt Bindings Test Matrix
-----------------------

103
examples/colorMaps.py Normal file
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@ -0,0 +1,103 @@
# -*- coding: utf-8 -*-
"""
This example demonstrates the use of ImageView, which is a high-level widget for
displaying and analyzing 2D and 3D data. ImageView provides:
1. A zoomable region (ViewBox) for displaying the image
2. A combination histogram and gradient editor (HistogramLUTItem) for
controlling the visual appearance of the image
3. A timeline for selecting the currently displayed frame (for 3D data only).
4. Tools for very basic analysis of image data (see ROI and Norm buttons)
"""
## Add path to library (just for examples; you do not need this)
import initExample
import numpy as np
from pyqtgraph.Qt import QtCore, QtGui
import pyqtgraph as pg
app = pg.mkQApp()
## Create window with ImageView widget
win = QtGui.QMainWindow()
win.resize(1000,800)
lw = pg.GraphicsLayoutWidget()
lw.setFixedWidth(1000)
lw.setSizePolicy(QtGui.QSizePolicy.Expanding, QtGui.QSizePolicy.Expanding)
scr = QtGui.QScrollArea()
scr.setVerticalScrollBarPolicy(QtCore.Qt.ScrollBarAlwaysOn)
scr.setWidget(lw)
win.setCentralWidget(scr)
win.show()
win.setWindowTitle('pyqtgraph example: Color maps')
## Create color map test image
width = 3*256
height = 32
img = np.zeros( (width, height) )
gradient = np.linspace(0.05, 0.95, width)
modulation = np.zeros(width)
for idx in range(width):
modulation[idx] = -0.05 * np.sin( 200 * np.pi * idx/width )
for idx in range(height):
img[:,idx] = gradient + (idx/(height-1)) * modulation
num_bars = 0
lw.addLabel('=== local color maps ===')
num_bars += 1
lw.nextRow()
list_of_maps = pg.colormap.listMaps()
for map_name in list_of_maps:
num_bars += 1
lw.addLabel(map_name)
cmap = pg.colormap.get(map_name)
imi = pg.ImageItem()
imi.setImage(img)
imi.setLookupTable( cmap.getLookupTable(alpha=True) )
vb = lw.addViewBox(lockAspect=True, enableMouse=False)
vb.addItem(imi)
lw.nextRow()
lw.addLabel('=== Matplotlib import ===')
num_bars += 1
lw.nextRow()
list_of_maps = pg.colormap.listMaps('matplotlib')
for map_name in list_of_maps:
num_bars += 1
lw.addLabel(map_name)
cmap = pg.colormap.get(map_name, source='matplotlib', skipCache=True)
if cmap is not None:
imi = pg.ImageItem()
imi.setImage(img)
imi.setLookupTable( cmap.getLookupTable(alpha=True) )
vb = lw.addViewBox(lockAspect=True, enableMouse=False)
vb.addItem(imi)
lw.nextRow()
lw.addLabel('=== ColorCET import ===')
num_bars += 1
lw.nextRow()
list_of_maps = pg.colormap.listMaps('colorcet')
for map_name in list_of_maps:
num_bars += 1
lw.addLabel(map_name)
cmap = pg.colormap.get(map_name, source='colorcet', skipCache=True)
if cmap is not None:
imi = pg.ImageItem()
imi.setImage(img)
imi.setLookupTable( cmap.getLookupTable(alpha=True) )
vb = lw.addViewBox(lockAspect=True, enableMouse=False)
vb.addItem(imi)
lw.nextRow()
lw.setFixedHeight(num_bars * (height+5) )
## Start Qt event loop unless running in interactive mode.
if __name__ == '__main__':
import sys
if (sys.flags.interactive != 1) or not hasattr(QtCore, 'PYQT_VERSION'):
QtGui.QApplication.instance().exec_()

310
pyqtgraph/colormap.py
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@ -2,6 +2,181 @@ import numpy as np
from .Qt import QtGui, QtCore
from .python2_3 import basestring
from .functions import mkColor
from os import path, listdir
import collections
_mapCache = {}
def listMaps(source=None):
"""
Warning, highly experimental, subject to change.
List available color maps
=============== =================================================================
**Arguments:**
source 'matplotlib' lists maps that can be imported from MatPlotLib
'colorcet' lists maps that can be imported from ColorCET
otherwise local maps are listed
=============== =================================================================
"""
if source is None:
pathname = path.join(path.dirname(__file__), 'colors','maps')
files = listdir( pathname )
list_of_maps = []
for filename in files:
if filename[-4:] == '.csv':
list_of_maps.append(filename[:-4])
return list_of_maps
elif source.lower() == 'matplotlib':
try:
import matplotlib.pyplot as mpl_plt
list_of_maps = mpl_plt.colormaps()
return list_of_maps
except ModuleNotFoundError:
return []
elif source.lower() == 'colorcet':
try:
import colorcet
list_of_maps = list( colorcet.palette.keys() )
list_of_maps.sort()
return list_of_maps
except ModuleNotFoundError:
return []
return []
def get(name, source=None, skipCache=False):
"""
Warning, highly experimental, subject to change.
Returns a ColorMap object from a local definition or imported from another library
=============== =================================================================
**Arguments:**
name Name of color map. Can be a path to a defining file.
source 'matplotlib' imports a map defined by Matplotlib
'colorcet' imports a maps defined by ColorCET
otherwise local data is used
=============== =================================================================
"""
if not skipCache and name in _mapCache:
return _mapCache[name]
if source is None:
return _get_from_file(name)
elif source == 'matplotlib':
return _get_from_matplotlib(name)
elif source == 'colorcet':
return _get_from_colorcet(name)
return None
def _get_from_file(name):
filename = name
if filename[0] !='.': # load from built-in directory
dirname = path.dirname(__file__)
filename = path.join(dirname, 'colors/maps/'+filename)
if not path.isfile( filename ): # try suffixes if file is not found:
if path.isfile( filename+'.csv' ): filename += '.csv'
elif path.isfile( filename+'.txt' ): filename += '.txt'
with open(filename,'r') as fh:
idx = 0
color_list = []
if filename[-4:].lower() != '.txt':
csv_mode = True
else:
csv_mode = False
for line in fh:
name = None
line = line.strip()
if len(line) == 0: continue # empty line
if line[0] == ';': continue # comment
parts = line.split(sep=';', maxsplit=1) # split into color and names/comments
if csv_mode:
comp = parts[0].split(',')
if len( comp ) < 3: continue # not enough components given
color_tuple = tuple( [ int(255*float(c)+0.5) for c in comp ] )
else:
hex_str = parts[0]
if hex_str[0] == '#':
hex_str = hex_str[1:] # strip leading #
if len(hex_str) < 3: continue # not enough information
if len(hex_str) == 3: # parse as abbreviated RGB
hex_str = 2*hex_str[0] + 2*hex_str[1] + 2*hex_str[2]
elif len(hex_str) == 4: # parse as abbreviated RGBA
hex_str = 2*hex_str[0] + 2*hex_str[1] + 2*hex_str[2] + 2*hex_str[3]
if len(hex_str) < 6: continue # not enough information
color_tuple = tuple( bytes.fromhex( hex_str ) )
color_list.append( color_tuple )
idx += 1
# end of line reading loop
# end of open
cm = ColorMap(
pos=np.linspace(0.0, 1.0, len(color_list)),
color=color_list) #, names=color_names)
_mapCache[name] = cm
return cm
def _get_from_matplotlib(name):
""" import colormap from matplotlib definition """
# inspired and informed by "mpl_cmaps_in_ImageItem.py", published by Sebastian Hoefer at
# https://github.com/honkomonk/pyqtgraph_sandbox/blob/master/mpl_cmaps_in_ImageItem.py
try:
import matplotlib.pyplot as mpl_plt
except ModuleNotFoundError:
return None
cm = None
col_map = mpl_plt.get_cmap(name)
if hasattr(col_map, '_segmentdata'): # handle LinearSegmentedColormap
data = col_map._segmentdata
if ('red' in data) and isinstance(data['red'], collections.Sequence):
positions = set() # super-set of handle positions in individual channels
for key in ['red','green','blue']:
for tup in data[key]:
positions.add(tup[0])
col_data = np.zeros((len(positions),4 ))
col_data[:,-1] = sorted(positions)
for idx, key in enumerate(['red','green','blue']):
positions = np.zeros( len(data[key] ) )
comp_vals = np.zeros( len(data[key] ) )
for idx2, tup in enumerate( data[key] ):
positions[idx2] = tup[0]
comp_vals[idx2] = tup[1] # these are sorted in the raw data
col_data[:,idx] = np.interp(col_data[:,3], positions, comp_vals)
cm = ColorMap(pos=col_data[:,-1], color=255*col_data[:,:3]+0.5)
# some color maps (gnuplot in particular) are defined by RGB component functions:
elif ('red' in data) and isinstance(data['red'], collections.Callable):
col_data = np.zeros((64, 4))
col_data[:,-1] = np.linspace(0., 1., 64)
for idx, key in enumerate(['red','green','blue']):
col_data[:,idx] = np.clip( data[key](col_data[:,-1]), 0, 1)
cm = ColorMap(pos=col_data[:,-1], color=255*col_data[:,:3]+0.5)
elif hasattr(col_map, 'colors'): # handle ListedColormap
col_data = np.array(col_map.colors)
cm = ColorMap(pos=np.linspace(0.0, 1.0, col_data.shape[0]), color=255*col_data[:,:3]+0.5 )
if cm is not None:
_mapCache[name] = cm
return cm
def _get_from_colorcet(name):
""" import colormap from colorcet definition """
try:
import colorcet
except ModuleNotFoundError:
return None
color_strings = colorcet.palette[name]
color_list = []
for hex_str in color_strings:
if hex_str[0] != '#': continue
if len(hex_str) != 7:
raise ValueError('Invalid color string '+str(hex_str)+' in colorcet import.')
color_tuple = tuple( bytes.fromhex( hex_str[1:] ) )
color_list.append( color_tuple )
if len(color_list) == 0:
return None
cm = ColorMap(
pos=np.linspace(0.0, 1.0, len(color_list)),
color=color_list) #, names=color_names)
_mapCache[name] = cm
return cm
class ColorMap(object):
@ -9,52 +184,51 @@ class ColorMap(object):
A ColorMap defines a relationship between a scalar value and a range of colors.
ColorMaps are commonly used for false-coloring monochromatic images, coloring
scatter-plot points, and coloring surface plots by height.
Each color map is defined by a set of colors, each corresponding to a
particular scalar value. For example:
| 0.0 -> black
| 0.2 -> red
| 0.6 -> yellow
| 1.0 -> white
The colors for intermediate values are determined by interpolating between
the two nearest colors in either RGB or HSV color space.
To provide user-defined color mappings, see :class:`GradientWidget <pyqtgraph.GradientWidget>`.
"""
## color interpolation modes
RGB = 1
HSV_POS = 2
HSV_NEG = 3
## boundary modes
CLIP = 1
## mapping modes
CLIP = 1
REPEAT = 2
MIRROR = 3
DIVERGING = 4
## return types
BYTE = 1
FLOAT = 2
QCOLOR = 3
enumMap = {
'rgb': RGB,
'hsv+': HSV_POS,
'hsv-': HSV_NEG,
'clip': CLIP,
'repeat': REPEAT,
'mirror': MIRROR,
# 'hsv+': HSV_POS,
# 'hsv-': HSV_NEG,
# 'clip': CLIP,
# 'repeat': REPEAT,
'byte': BYTE,
'float': FLOAT,
'qcolor': QCOLOR,
}
def __init__(self, pos, color, mode=None):
def __init__(self, pos, color, mode=None, mapping=None): #, names=None):
"""
=============== ==============================================================
=============== =================================================================
**Arguments:**
pos Array of positions where each color is defined
color Array of colors.
@ -64,7 +238,13 @@ class ColorMap(object):
indicating the color space that should be used when
interpolating between stops. Note that the last mode value is
ignored. By default, the mode is entirely RGB.
=============== ==============================================================
mapping Mapping mode (ColorMap.CLIP, REPEAT, MIRROR, or DIVERGING)
controlling mapping of relative index to color.
CLIP maps colors to [0.0;1.0]
REPEAT maps colors to repeating intervals [0.0;1.0];[1.0-2.0],...
MIRROR maps colors to [0.0;-1.0] and [0.0;+1.0] identically
DIVERGING maps colors to [-1.0;+1.0]
=============== =================================================================
"""
self.pos = np.array(pos)
order = np.argsort(self.pos)
@ -77,15 +257,38 @@ class ColorMap(object):
if mode is None:
mode = np.ones(len(pos))
self.mode = mode
self.stopsCache = {}
if mapping is None:
self.mapping_mode = self.CLIP
elif mapping == self.REPEAT:
self.mapping_mode = self.REPEAT
elif mapping == self.DIVERGING:
self.mapping_mode = self.DIVERGING
elif mapping == self.MIRROR:
self.mapping_mode = self.MIRROR
else:
self.mapping_mode = self.CLIP
self.stopsCache = {}
def __getitem__(self, key):
""" Convenient shorthand access to palette colors """
if isinstance(key, int): # access by color index
return self.getByIndex(key)
# otherwise access by map
try: # accept any numerical format that converts to float
float_idx = float(key)
return self.mapToQColor(float_idx)
except ValueError: pass
return None
def map(self, data, mode='byte'):
"""
Return an array of colors corresponding to the values in *data*.
Data must be either a scalar position or an array (any shape) of positions.
The *mode* argument determines the type of data returned:
=========== ===============================================================
byte (default) Values are returned as 0-255 unsigned bytes.
float Values are returned as 0.0-1.0 floats.
@ -99,10 +302,7 @@ class ColorMap(object):
pos, color = self.getStops(self.BYTE)
else:
pos, color = self.getStops(mode)
# don't need this--np.interp takes care of it.
#data = np.clip(data, pos.min(), pos.max())
# Interpolate
# TODO: is griddata faster?
# interp = scipy.interpolate.griddata(pos, color, data)
@ -112,6 +312,15 @@ class ColorMap(object):
if not isinstance(data, np.ndarray):
data = np.array(data)
interp = np.empty(data.shape + (color.shape[1],), dtype=color.dtype)
if self.mapping_mode != self.CLIP:
if self.mapping_mode == self.REPEAT:
data = data % 1.0
elif self.mapping_mode == self.DIVERGING:
data = (data/2)+0.5
elif self.mapping_mode == self.MIRROR:
data = abs(data)
for i in range(color.shape[1]):
interp[...,i] = np.interp(data, pos, color[:,i])
@ -135,7 +344,11 @@ class ColorMap(object):
def mapToFloat(self, data):
"""Convenience function; see :func:`map() <pyqtgraph.ColorMap.map>`."""
return self.map(data, mode=self.FLOAT)
def getByIndex(self, idx):
"""Retrieve palette QColor by index"""
return QtGui.QColor( *self.color[idx] )
def getGradient(self, p1=None, p2=None):
"""Return a QLinearGradient object spanning from QPoints p1 to p2."""
if p1 == None:
@ -147,25 +360,8 @@ class ColorMap(object):
pos, color = self.getStops(mode=self.BYTE)
color = [QtGui.QColor(*x) for x in color]
g.setStops(list(zip(pos, color)))
#if self.colorMode == 'rgb':
#ticks = self.listTicks()
#g.setStops([(x, QtGui.QColor(t.color)) for t,x in ticks])
#elif self.colorMode == 'hsv': ## HSV mode is approximated for display by interpolating 10 points between each stop
#ticks = self.listTicks()
#stops = []
#stops.append((ticks[0][1], ticks[0][0].color))
#for i in range(1,len(ticks)):
#x1 = ticks[i-1][1]
#x2 = ticks[i][1]
#dx = (x2-x1) / 10.
#for j in range(1,10):
#x = x1 + dx*j
#stops.append((x, self.getColor(x)))
#stops.append((x2, self.getColor(x2)))
#g.setStops(stops)
return g
def getColors(self, mode=None):
"""Return list of all color stops converted to the specified mode.
If mode is None, then no conversion is done."""
@ -182,7 +378,7 @@ class ColorMap(object):
color = [QtGui.QColor(*x) for x in color]
return color
def getStops(self, mode):
## Get fully-expanded set of RGBA stops in either float or byte mode.
if mode not in self.stopsCache:
@ -193,19 +389,9 @@ class ColorMap(object):
color = color.astype(float) / 255.
## to support HSV mode, we need to do a little more work..
#stops = []
#for i in range(len(self.pos)):
#pos = self.pos[i]
#color = color[i]
#imode = self.mode[i]
#if imode == self.RGB:
#stops.append((x,color))
#else:
#ns =
self.stopsCache[mode] = (self.pos, color)
return self.stopsCache[mode]
def getLookupTable(self, start=0.0, stop=1.0, nPts=512, alpha=None, mode='byte'):
"""
Return an RGB(A) lookup table (ndarray).
@ -223,23 +409,23 @@ class ColorMap(object):
"""
if isinstance(mode, basestring):
mode = self.enumMap[mode.lower()]
if alpha is None:
alpha = self.usesAlpha()
x = np.linspace(start, stop, nPts)
table = self.map(x, mode)
if not alpha and mode != self.QCOLOR:
return table[:,:3]
else:
return table
def usesAlpha(self):
"""Return True if any stops have an alpha < 255"""
max = 1.0 if self.color.dtype.kind == 'f' else 255
return np.any(self.color[:,3] != max)
def isMapTrivial(self):
"""
Return True if the gradient has exactly two stops in it: black at 0.0 and white at 1.0.

250
pyqtgraph/colors/maps/CC-BY license - applies to CET color map data.txt Normal file
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@ -0,0 +1,250 @@
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256
pyqtgraph/colors/maps/CET-C3.csv Normal file
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pyqtgraph/colors/maps/CET-D3.csv Normal file
View File

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256 1.000 1.000 1.000

256
pyqtgraph/colors/maps/CET-L10.csv Normal file
View File

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View File

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pyqtgraph/colors/maps/CET-L17.csv Normal file
View File

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0.464,0.736,0.020
0.477,0.740,0.020
0.490,0.744,0.020
0.503,0.748,0.019
0.515,0.752,0.019
0.528,0.756,0.018
0.541,0.760,0.018
0.553,0.764,0.017
0.566,0.768,0.017
0.578,0.772,0.016
0.590,0.776,0.016
0.602,0.780,0.015
0.615,0.784,0.015
0.627,0.788,0.014
0.639,0.792,0.014
0.651,0.795,0.013
0.663,0.799,0.013
0.674,0.803,0.012
0.686,0.807,0.012
0.698,0.811,0.012
0.710,0.815,0.011
0.722,0.819,0.011
0.733,0.823,0.010
0.745,0.826,0.010
0.757,0.830,0.009
0.769,0.834,0.009
0.780,0.838,0.008
0.792,0.842,0.008
0.803,0.845,0.008
0.815,0.849,0.007
0.827,0.853,0.007
0.838,0.856,0.007
0.850,0.860,0.006
0.861,0.863,0.006
0.873,0.866,0.006
0.884,0.869,0.006
0.895,0.871,0.006
0.906,0.873,0.007
0.916,0.874,0.007
0.926,0.874,0.008
0.935,0.873,0.010
0.943,0.872,0.011
0.950,0.869,0.013
0.957,0.866,0.015
0.962,0.862,0.018
0.967,0.857,0.020
0.971,0.851,0.023
0.974,0.845,0.026
0.977,0.838,0.029
0.979,0.831,0.032
0.980,0.824,0.035
0.981,0.816,0.038
0.982,0.809,0.041
0.983,0.801,0.044
0.984,0.793,0.047
0.984,0.785,0.049
0.985,0.777,0.052
0.985,0.769,0.054
0.985,0.761,0.056
0.986,0.753,0.058
0.986,0.745,0.060
0.986,0.737,0.062
0.986,0.729,0.064
0.987,0.721,0.066
0.987,0.713,0.068
0.987,0.705,0.069
0.987,0.697,0.071
0.987,0.689,0.073
0.987,0.681,0.074
0.987,0.673,0.075
0.987,0.664,0.077
0.987,0.656,0.078
0.987,0.648,0.079
0.987,0.640,0.081
0.987,0.631,0.082
0.987,0.623,0.083
0.987,0.614,0.083
0.987,0.606,0.084
0.987,0.597,0.084
0.987,0.588,0.085
0.987,0.580,0.085
0.987,0.571,0.084
0.987,0.561,0.084
0.988,0.552,0.083
0.988,0.543,0.082
0.989,0.533,0.081
0.990,0.524,0.080
0.990,0.514,0.079
0.991,0.504,0.077
0.992,0.494,0.076
0.992,0.483,0.074
0.993,0.473,0.073
0.994,0.462,0.071
0.994,0.452,0.070
0.995,0.441,0.068
0.995,0.430,0.067
0.996,0.418,0.065
0.996,0.407,0.064
0.997,0.395,0.063
0.997,0.383,0.061
0.997,0.371,0.060
0.998,0.358,0.059
0.998,0.345,0.058
0.998,0.332,0.057
0.998,0.319,0.056
0.998,0.305,0.055
0.997,0.291,0.054
0.996,0.277,0.053
0.995,0.262,0.053
0.993,0.248,0.052
0.991,0.234,0.052
0.989,0.221,0.051
0.985,0.207,0.051
0.981,0.195,0.051
0.977,0.183,0.051
0.972,0.172,0.051
0.966,0.161,0.051
0.960,0.152,0.051
0.953,0.143,0.051
0.947,0.135,0.051
0.939,0.127,0.051
0.932,0.120,0.051
0.925,0.113,0.051
0.917,0.106,0.052
0.910,0.099,0.052
0.902,0.092,0.052
0.895,0.085,0.052
0.887,0.077,0.052
0.880,0.069,0.052
0.872,0.061,0.052
0.864,0.052,0.052
0.857,0.042,0.052
0.849,0.031,0.052
0.842,0.020,0.052
1 0.015 0.002 0.425
2 0.015 0.002 0.437
3 0.016 0.002 0.448
4 0.016 0.002 0.460
5 0.016 0.002 0.472
6 0.017 0.002 0.483
7 0.017 0.001 0.495
8 0.017 0.001 0.507
9 0.017 0.001 0.519
10 0.018 0.001 0.531
11 0.018 0.001 0.543
12 0.018 0.001 0.555
13 0.018 0.001 0.567
14 0.019 0.001 0.579
15 0.019 0.002 0.590
16 0.020 0.002 0.602
17 0.020 0.003 0.614
18 0.021 0.005 0.625
19 0.021 0.007 0.636
20 0.022 0.010 0.647
21 0.023 0.013 0.657
22 0.024 0.017 0.667
23 0.025 0.023 0.676
24 0.027 0.029 0.685
25 0.028 0.036 0.694
26 0.030 0.044 0.703
27 0.032 0.051 0.711
28 0.034 0.059 0.719
29 0.036 0.067 0.727
30 0.038 0.074 0.735
31 0.040 0.081 0.742
32 0.042 0.088 0.750
33 0.044 0.095 0.757
34 0.045 0.102 0.765
35 0.047 0.108 0.773
36 0.049 0.115 0.780
37 0.050 0.121 0.788
38 0.052 0.127 0.795
39 0.053 0.133 0.803
40 0.055 0.139 0.810
41 0.056 0.146 0.818
42 0.057 0.151 0.825
43 0.059 0.157 0.833
44 0.060 0.163 0.841
45 0.061 0.169 0.848
46 0.062 0.174 0.856
47 0.063 0.180 0.863
48 0.064 0.186 0.871
49 0.065 0.191 0.879
50 0.066 0.197 0.886
51 0.067 0.203 0.894
52 0.068 0.208 0.901
53 0.069 0.214 0.909
54 0.071 0.220 0.916
55 0.072 0.226 0.922
56 0.074 0.232 0.928
57 0.077 0.239 0.933
58 0.080 0.246 0.937
59 0.084 0.254 0.940
60 0.089 0.262 0.941
61 0.094 0.271 0.941
62 0.099 0.280 0.939
63 0.104 0.290 0.934
64 0.110 0.301 0.928
65 0.114 0.312 0.920
66 0.119 0.324 0.910
67 0.122 0.335 0.898
68 0.123 0.347 0.885
69 0.124 0.359 0.871
70 0.123 0.371 0.856
71 0.120 0.383 0.841
72 0.115 0.395 0.824
73 0.109 0.406 0.808
74 0.101 0.418 0.791
75 0.091 0.429 0.774
76 0.079 0.439 0.756
77 0.066 0.450 0.739
78 0.051 0.460 0.721
79 0.037 0.470 0.703
80 0.026 0.479 0.684
81 0.021 0.488 0.665
82 0.022 0.497 0.646
83 0.030 0.506 0.627
84 0.045 0.514 0.607
85 0.063 0.522 0.586
86 0.081 0.529 0.565
87 0.099 0.537 0.544
88 0.115 0.544 0.522
89 0.129 0.551 0.500
90 0.142 0.558 0.478
91 0.153 0.565 0.455
92 0.163 0.572 0.432
93 0.171 0.579 0.408
94 0.177 0.586 0.385
95 0.181 0.593 0.361
96 0.184 0.600 0.337
97 0.187 0.607 0.313
98 0.188 0.613 0.289
99 0.189 0.620 0.265
100 0.191 0.626 0.242
101 0.193 0.633 0.219
102 0.195 0.639 0.196
103 0.200 0.645 0.174
104 0.206 0.651 0.153
105 0.214 0.656 0.133
106 0.224 0.662 0.115
107 0.235 0.667 0.098
108 0.248 0.672 0.082
109 0.262 0.677 0.069
110 0.276 0.681 0.057
111 0.291 0.686 0.047
112 0.306 0.690 0.039
113 0.321 0.694 0.033
114 0.337 0.699 0.029
115 0.351 0.703 0.027
116 0.366 0.707 0.025
117 0.381 0.711 0.024
118 0.395 0.715 0.023
119 0.409 0.719 0.023
120 0.423 0.724 0.022
121 0.437 0.728 0.021
122 0.450 0.732 0.021
123 0.464 0.736 0.020
124 0.477 0.740 0.020
125 0.490 0.744 0.020
126 0.503 0.748 0.019
127 0.515 0.752 0.019
128 0.528 0.756 0.018
129 0.541 0.760 0.018
130 0.553 0.764 0.017
131 0.566 0.768 0.017
132 0.578 0.772 0.016
133 0.590 0.776 0.016
134 0.602 0.780 0.015
135 0.615 0.784 0.015
136 0.627 0.788 0.014
137 0.639 0.792 0.014
138 0.651 0.795 0.013
139 0.663 0.799 0.013
140 0.674 0.803 0.012
141 0.686 0.807 0.012
142 0.698 0.811 0.012
143 0.710 0.815 0.011
144 0.722 0.819 0.011
145 0.733 0.823 0.010
146 0.745 0.826 0.010
147 0.757 0.830 0.009
148 0.769 0.834 0.009
149 0.780 0.838 0.008
150 0.792 0.842 0.008
151 0.803 0.845 0.008
152 0.815 0.849 0.007
153 0.827 0.853 0.007
154 0.838 0.856 0.007
155 0.850 0.860 0.006
156 0.861 0.863 0.006
157 0.873 0.866 0.006
158 0.884 0.869 0.006
159 0.895 0.871 0.006
160 0.906 0.873 0.007
161 0.916 0.874 0.007
162 0.926 0.874 0.008
163 0.935 0.873 0.010
164 0.943 0.872 0.011
165 0.950 0.869 0.013
166 0.957 0.866 0.015
167 0.962 0.862 0.018
168 0.967 0.857 0.020
169 0.971 0.851 0.023
170 0.974 0.845 0.026
171 0.977 0.838 0.029
172 0.979 0.831 0.032
173 0.980 0.824 0.035
174 0.981 0.816 0.038
175 0.982 0.809 0.041
176 0.983 0.801 0.044
177 0.984 0.793 0.047
178 0.984 0.785 0.049
179 0.985 0.777 0.052
180 0.985 0.769 0.054
181 0.985 0.761 0.056
182 0.986 0.753 0.058
183 0.986 0.745 0.060
184 0.986 0.737 0.062
185 0.986 0.729 0.064
186 0.987 0.721 0.066
187 0.987 0.713 0.068
188 0.987 0.705 0.069
189 0.987 0.697 0.071
190 0.987 0.689 0.073
191 0.987 0.681 0.074
192 0.987 0.673 0.075
193 0.987 0.664 0.077
194 0.987 0.656 0.078
195 0.987 0.648 0.079
196 0.987 0.640 0.081
197 0.987 0.631 0.082
198 0.987 0.623 0.083
199 0.987 0.614 0.083
200 0.987 0.606 0.084
201 0.987 0.597 0.084
202 0.987 0.588 0.085
203 0.987 0.580 0.085
204 0.987 0.571 0.084
205 0.987 0.561 0.084
206 0.988 0.552 0.083
207 0.988 0.543 0.082
208 0.989 0.533 0.081
209 0.990 0.524 0.080
210 0.990 0.514 0.079
211 0.991 0.504 0.077
212 0.992 0.494 0.076
213 0.992 0.483 0.074
214 0.993 0.473 0.073
215 0.994 0.462 0.071
216 0.994 0.452 0.070
217 0.995 0.441 0.068
218 0.995 0.430 0.067
219 0.996 0.418 0.065
220 0.996 0.407 0.064
221 0.997 0.395 0.063
222 0.997 0.383 0.061
223 0.997 0.371 0.060
224 0.998 0.358 0.059
225 0.998 0.345 0.058
226 0.998 0.332 0.057
227 0.998 0.319 0.056
228 0.998 0.305 0.055
229 0.997 0.291 0.054
230 0.996 0.277 0.053
231 0.995 0.262 0.053
232 0.993 0.248 0.052
233 0.991 0.234 0.052
234 0.989 0.221 0.051
235 0.985 0.207 0.051
236 0.981 0.195 0.051
237 0.977 0.183 0.051
238 0.972 0.172 0.051
239 0.966 0.161 0.051
240 0.960 0.152 0.051
241 0.953 0.143 0.051
242 0.947 0.135 0.051
243 0.939 0.127 0.051
244 0.932 0.120 0.051
245 0.925 0.113 0.051
246 0.917 0.106 0.052
247 0.910 0.099 0.052
248 0.902 0.092 0.052
249 0.895 0.085 0.052
250 0.887 0.077 0.052
251 0.880 0.069 0.052
252 0.872 0.061 0.052
253 0.864 0.052 0.052
254 0.857 0.042 0.052
255 0.849 0.031 0.052
256 0.842 0.020 0.052