-
Notifications
You must be signed in to change notification settings - Fork 2
/
quaternary_folded_ternaries.py
144 lines (132 loc) · 5.75 KB
/
quaternary_folded_ternaries.py
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
import matplotlib.cm as cm
import numpy
import pylab
import operator, copy, os
from matplotlib.patches import CirclePolygon
#os.chdir('C:/Users/Gregoire/Documents/PythonCode/ternaryplot')
from myternaryutility import TernaryPlot
class ternaryfaces_folded:
def __init__(self, ax, ellabels=['A', 'B', 'C', 'D'], offset=None, nintervals=10., outlinealpha=0.2):
self.outlinealpha=outlinealpha
self.nint=1.*nintervals
self.delta=1./self.nint
self.ternaryplot=TernaryPlot(ax, outline=False)
self.ax=ax
self.offset=offset
#self.ax.set_xlim(-.1, 2.6)
#self.ax.set_ylim(-.1, 3.**.5/2+.1)
self.ax.set_ylim(-.1-3.**.5/4., .1+3.**.5/4.)
self.cartendpts=numpy.float32([[0, 0], [.5, numpy.sqrt(3.)/2.], [1, 0]])
self.ellabels=ellabels
self.scalefcn=lambda ntern:(self.nint-ntern)/self.nint
shift=0.
self.shift_ntern=[]
perminds=[0, 1, 2]
self.perminds_ntern=[]
for ntern in range(int(self.nint)+1):
self.shift_ntern+=[shift]
shift+=self.delta*1.5+0.5*self.scalefcn(ntern)
self.perminds_ntern+=[perminds]
#if ntern%2==0:
perminds=[perminds[i] for i in [1, 2, 0]]
# else:
# perminds=[perminds[i] for i in [1, 0, 2]]
self.ax.set_xlim(-.1, shift+self.delta*1.5+1.*self.scalefcn(ntern)+.1)
self.patch_xyc=lambda x, y, c, **kwargs:self.ax.add_patch(CirclePolygon((x, y),radius=self.delta/3.**.5,resolution=6, color=c, **kwargs))
self.outline()
if offset is None:
self.offset=self.delta
def xy_ntern(self, x, y, ntern):
if ntern%2==1:
y=-1.*y+3.**.5/2
y-=3.**.5/2/2.
y*=self.scalefcn(ntern)
x*=self.scalefcn(ntern)
x+=self.shift_ntern[ntern]
return x, y
def invert_xy_ntern(self, x, y, ntern):
x-=self.shift_ntern[ntern]
x/=self.scalefcn(ntern)
y/=self.scalefcn(ntern)
y+=3.**.5/2/2.
if ntern%2==1:
y=-1.*y+3.**.5/2
return x, y
def outline(self):
for ntern in range(int(self.nint)):
for i, ep in enumerate(self.cartendpts):
for ep2 in self.cartendpts[i+1:]:
x, y=self.xy_ntern(numpy.array([ep[0], ep2[0]]), numpy.array([ep[1], ep2[1]]), ntern)
self.ax.plot(x, y, 'k-', alpha=self.outlinealpha)
def label(self, **kwargs):#takeabs is to avoid a negative sign for ~0 negative compositions
for count, (va, y) in enumerate(zip(['top','bottom'], [-3.**.5/4.-self.offset, 3.**.5/4.+self.offset])):
self.ax.text(count*.5, y, self.ellabels[count], ha='center', va=va, **kwargs)
for i in range(0, int(self.nint)):
y=(3.**.5/4.)*self.scalefcn(i)+self.offset
yd=(3.**.5/4.)*self.scalefcn(i)+self.offset*1.5
if i%2==1:
va='bottom'
vad='top'
yd*=-1
else:
va='top'
y*=-1
vad='bottom'
x=self.shift_ntern[i+1]+.5*self.scalefcn(i+1)
self.ax.text(x, y, self.ellabels[(i+2)%3], ha='center', va=va, **kwargs)
if i==int(self.nint)-1:
x+=self.scalefcn(i+1)+self.offset
yd=0.
vad='center'
had='left'
else:
had='center'
self.ax.text(x, yd, self.ellabels[3]+(r'$_{%d}$' %(int(round(100*(i+1)*self.delta)))), ha=had, va=vad, **kwargs)
def toCart(self, quatcomps, ntern):
qc=numpy.array(quatcomps)
perminds=self.perminds_ntern[ntern]
x, y=self.ternaryplot.toCart(qc[:, perminds])
x, y=self.xy_ntern(x, y, ntern)
return x, y
def scatter(self, quatcomps, c, s='patch', **kwargs):
if s=='patch':
patchfcn=lambda x, y, c:self.patch_xyc(x, y, c, **kwargs)
else:
patchfcn=None
quatcomps=numpy.int32(numpy.round(quatcomps*self.nint))
for ntern in range(int(self.nint)):
ba=quatcomps[:, -1]==ntern
self.shellcomps=quatcomps[ba]
shellc=c[ba]
self.shellcomps=self.shellcomps[:, :-1]/(self.nint-ntern)
if len(self.shellcomps)==0:
continue
x, y=self.toCart(self.shellcomps, ntern)
if patchfcn is None:
self.ax.scatter(x, y, c=shellc, **kwargs)
else:
map(patchfcn, x, y, shellc)
ba=quatcomps[:, -1]==self.nint
if True in ba:
self.shellcomps=quatcomps[ba]#only 1 comp but might be duplicated
shellc=c[ba]
if patchfcn is None:
for cv in shellc:
self.ax.scatter(self.shift_ntern[-1], 0, c=cv, s=s, **kwargs)
else:
[patchfcn(self.shift_ntern[-1], 0, cv) for cv in shellc]
def toComp(self, x, y, skipinds=range(4)):#takes a single x,y coord from the axes and gets the tirangle by trial and error and converts to a,b,c,d/ skipinds must be the same as that used in .scatter()
c=numpy.zeros(4, dtype='float64')
for ntern in range(int(self.nint)):
xi, yi=self.invert_xy_ntern(x, y, ntern)
abc=self.ternaryplot.toComp([[xi, yi]])
if numpy.all((abc>=0.)&(abc<=1.)):
print ntern
c[self.perminds_ntern[ntern]]=abc*(self.nint-ntern)
c[-1]=ntern
c*=self.delta
return c
xcrit, garb=self.xy_ntern(.5,0,ntern)#in the last ternay plot take the x mid-point. y value deosnt' matter
if x>xcrit:
return numpy.float64([0, 0, 0, 1])
return None