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quaternary_faces_shells.py
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quaternary_faces_shells.py
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import matplotlib.cm as cm
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
from myquaternaryutility import QuaternaryPlot
class ternaryfaces_shells:
def __init__(self, ax, ellabels=['A', 'B', 'C', 'D'], offset=None, nintervals=10., outlinealpha=0.2, patchscale=1.):
self.outlinealpha=outlinealpha
self.nint=1.*nintervals
self.delta=1./self.nint
self.ternaryplot=TernaryPlot(ax, outline=False)
self.ax=ax
self.ax.set_aspect(1.)
#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 nshell:(self.nint-4.*nshell)/self.nint
shift=0.
self.shift_nshell=[]
for nshell in range(int(self.nint//4)+1):
self.shift_nshell+=[shift]
shift+=self.delta*2.+2.*self.scalefcn(nshell)
self.ax.set_xlim(-.1, shift+self.delta+1.*self.scalefcn(nshell))
self.patch_xyc=lambda x, y, c, **kwargs:self.ax.add_patch(CirclePolygon((x, y),radius=patchscale*self.delta/3.**.5,resolution=6, color=c, **kwargs))
if outlinealpha>0:
self.outline()
if offset is None:
self.offset=self.delta
self.qindsfortern_skipind=[[1, 2, 3], [2, 3, 0], [3, 0, 1], [0, 1, 2]]#sets the order of elements assuming mirror over y for skipA and skipC
def xy_skipind(self, x, y, skipind, nshell):
if skipind%2==0:
y=-1.*y+3.**.5/2
y-=3.**.5/2/2.
y*=self.scalefcn(nshell)
x+=([0.5, 1, 1.5, 0.][skipind])
x*=self.scalefcn(nshell)
x+=self.shift_nshell[nshell]
return x, y
def invert_xy_skipind(self, x, y, skipind, nshell):
x-=self.shift_nshell[nshell]
x/=self.scalefcn(nshell)
x-=([0.5, 1, 1.5, 0.][skipind])
y/=self.scalefcn(nshell)
y+=3.**.5/2/2.
if skipind%2==0:
y=-1.*y+3.**.5/2
return x, y
def outline(self, **kwargs):
for nshell in range(int(self.nint//4)+int(self.nint%4>0)):
for skipind in range(4):
skipfirstline=skipind!=3
for i, ep in enumerate(self.cartendpts):
for ep2 in self.cartendpts[i+1:]:
if skipfirstline:
skipfirstline=False
continue
x, y=self.xy_skipind(numpy.array([ep[0], ep2[0]]), numpy.array([ep[1], ep2[1]]), skipind, nshell)
self.ax.plot(x, y, 'k-', alpha=self.outlinealpha, **kwargs)
def label(self, onlyterns=False, allelements=False, primeelements=False, **kwargs):#takeabs is to avoid a negative sign for ~0 negative compositions
for va, xst, y, inds in zip(['top', 'bottom'], [0, .5], [-3.**.5/4.-self.offset, 3.**.5/4.+self.offset], [[0, 2, 0], [1, 3, 1]]):
for count, i in enumerate(inds):
self.ax.text(xst+count*1., y, self.ellabels[i], ha='center', va=va, **kwargs)
if onlyterns:
return
for nshell in range(1, int(self.nint//4)+int(self.nint%4>0)):
for va, xst, y, inds in zip(['top', 'bottom'], [0, .5], [-3.**.5/4.*self.scalefcn(nshell)-self.offset, 3.**.5/4.*self.scalefcn(nshell)+self.offset], [[2, 0], [3, 1]]):
for count, i in enumerate(inds):
l=self.ellabels[i]
if primeelements:
l+="$'$"*nshell
else:
l+=(r'$_{%d}$' %int(round(100*(1.-3*nshell*self.delta))))
x=(xst+(count+1)*1.)*self.scalefcn(nshell)+self.shift_nshell[nshell]
if allelements:
temp=copy.copy(self.ellabels)
temp.pop(i)
l+=''.join([el+(r'$_{%d}$' %int(round(100*(nshell*self.delta)))) for el in temp])
self.ax.text(x, y, l, ha='center', va=va, **kwargs)
def toCart(self, quatcomps, skipinds=range(4), nshell=0):#binary and ternary lines need to be plotted multiple times so returns set of (inds,x,y)
qc=numpy.array(quatcomps)
#qc=qc[(qc==0.).sum(axis=1)>0]
# x=numpy.empty(len(qc), dtype='float32')
# y=numpy.empty(len(qc), dtype='float32')
inds_x_y=[]
for si in skipinds:
inds=numpy.where(qc[:, si]==0.)[0]
if len(inds)==0:
continue
xt, yt=self.ternaryplot.toCart(qc[inds][:, self.qindsfortern_skipind[si]])
x, y=self.xy_skipind(xt, yt, si, nshell)
inds_x_y+=[(inds, x, y)]
return inds_x_y
def scatter(self, quatcomps, c, skipinds=range(4), 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 nshell in range(int(self.nint//4)+int(self.nint%4>0)):
ba=((quatcomps==nshell).sum(axis=1, dtype='int32')>0)&((quatcomps>=nshell).prod(axis=1, dtype='int32')>0)
self.shellcomps=quatcomps[ba]
shellc=c[ba]
self.shellcomps=(self.shellcomps-nshell)/(self.nint-4.*nshell)
inds_x_y=self.toCart(self.shellcomps, skipinds=skipinds, nshell=nshell)
for inds, x, y in inds_x_y:
if patchfcn is None:
self.ax.scatter(x, y, c=shellc[inds], s=s, **kwargs)
else:
map(patchfcn, x, y, shellc[inds])
if self.nint%4==0: #single point with no frame
ba=(quatcomps==self.nint//4).prod(axis=1, dtype='int32')>0
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_nshell[-1], 0, c=cv, s=s, **kwargs)
else:
[patchfcn(self.shift_nshell[-1], 0, cv) for cv in shellc]
def quatscatter(self, quatcomps, c, skipinds=range(4), azim=-60, elev=30, alphaall=.2, alphashell=1., fontsize=14, outline=True, **kwargs):
numsubs=int(self.nint//4)+1
quatcomps=numpy.int32(numpy.round(quatcomps*self.nint))
for nshell in range(int(self.nint//4)+int(self.nint%4>0)):
ba=((quatcomps==nshell).sum(axis=1, dtype='int32')>0)&((quatcomps>=nshell).prod(axis=1, dtype='int32')>0)
shellcomps=quatcomps[ba]
shellc=c[ba]
q=QuaternaryPlot((1, numsubs, nshell+1), outline=outline)
if alphaall>0:
q.scatter(quatcomps*1./self.nint,c=c, alpha=alphaall, **kwargs)
if alphashell>0:
q.scatter(shellcomps*1./self.nint,c=shellc, alpha=alphashell, **kwargs)
if fontsize>0:
q.label(ha='center', va='center', fontsize=fontsize)
q.set_projection(azim=azim, elev=elev)
if self.nint%4==0: #single point with no frame
ba=(quatcomps==self.nint//4).prod(axis=1, dtype='int32')>0
if True in ba:
shellcomps=quatcomps[ba]#only 1 comp but might be duplicated
shellc=c[ba]
q=QuaternaryPlot((1, numsubs, numsubs), outline=outline)
q.scatter(quatcomps*1./self.nint,c=c, alpha=alphaall, **kwargs)
q.scatter(shellcomps*1./self.nint,c=shellc, alpha=alphashell, **kwargs)
if fontsize>0:
q.label(ha='center', va='center', fontsize=fontsize)
q.set_projection(azim=azim, elev=elev)
def quatplot3D(self, quatcomps, c, skipinds=range(4), azim=-60, elev=30, alphaall=.2, alphashell=1., fontsize=14, outline=True, **kwargs):
numsubs=int(self.nint//4)+1
quatcomps=numpy.int32(numpy.round(quatcomps*self.nint))
for nshell in range(int(self.nint//4)+int(self.nint%4>0)):
ba=((quatcomps==nshell).sum(axis=1, dtype='int32')>0)&((quatcomps>=nshell).prod(axis=1, dtype='int32')>0)
shellcomps=quatcomps[ba]
shellc=c[ba]
q=QuaternaryPlot((1, numsubs, nshell+1), outline=outline)
if alphaall>0:
q.plot3D(quatcomps*1./self.nint,c, alpha=alphaall, **kwargs)
if alphashell>0:
q.plot3D(shellcomps*1./self.nint,shellc, alpha=alphashell, **kwargs)
if fontsize>0:
q.label(ha='center', va='center', fontsize=fontsize)
q.set_projection(azim=azim, elev=elev)
if self.nint%4==0: #single point with no frame
ba=(quatcomps==self.nint//4).prod(axis=1, dtype='int32')>0
if True in ba:
shellcomps=quatcomps[ba]#only 1 comp but might be duplicated
shellc=c[ba]
q=QuaternaryPlot((1, numsubs, numsubs), outline=outline)
q.plot3D(quatcomps*1./self.nint,c, alpha=alphaall, **kwargs)
q.plot3D(shellcomps*1./self.nint,shellc, alpha=alphashell, **kwargs)
if fontsize>0:
q.label(ha='center', va='center', fontsize=fontsize)
q.set_projection(azim=azim, elev=elev)
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 nshell in range(int(self.nint//4)+int(self.nint%4>0)):
for si in skipinds:
xi, yi=self.invert_xy_skipind(x, y, si, nshell)
abc=self.ternaryplot.toComp([[xi, yi]])
if numpy.all((abc>=0.)&(abc<=1.)):
c[self.qindsfortern_skipind[si]]=numpy.round((abc*(self.nint-4.*nshell)+nshell))
c[si]=nshell
c*=self.delta
return c
if self.nint%4==0:#if there is an equi-atomic single point outside the triangles, then count it as clicked if outside triagnels with x bigger than middle of the last triangle,
xcrit, garb=self.xy_skipind(.5,0,si, nshell)#in the last ternay plot take the x mid-point. y value deosnt' matter
if x>xcrit:
return numpy.ones(4, dtype='float64')/4.
return None