Fixes of hex/triangle lattice generators
Former-commit-id: 85ed2f3c0447a8ddf9551d90df4d97cf87c3f76c
This commit is contained in:
Marek Nečada
parent
e2e7512b9e
commit
df90b7b440
44
qpms/hex.py
44
qpms/hex.py
|
|
@ -12,26 +12,26 @@ def generate_trianglepoints(maxlayer, include_origin = False, v3d = True, circul
|
|||
si = np.empty((6,(maxlayer*(maxlayer+1))//2), dtype=int)
|
||||
sii = [0,0,0,0,0,0]
|
||||
if mirrorindices:
|
||||
if(maxlayer < 3):
|
||||
mi = np.empty((2,0,), dtype=int)
|
||||
else:
|
||||
#layer indices start from one!
|
||||
ilayer = np.arange(1, maxlayer+1) # We need first to "copy" layer indices to correspond to the Muster count
|
||||
mustercount = (ilayer - 1)//2
|
||||
mustercum = np.cumsum(mustercount)
|
||||
layerstart = np.zeros((mustercum[maxlayer - 1]), dtype=int)
|
||||
layerstart[mustercum[:(maxlayer-1)]] = 1
|
||||
print(mustercum, layerstart)
|
||||
layer = np.cumsum(layerstart) + 2 # That's it
|
||||
print(layer)
|
||||
lb = 3*layer*(layer-1) # layer base (lowest) index
|
||||
print(lb)
|
||||
li = np.arange(len(layer)) - mustercum[layer-2] # muster indices for each layers
|
||||
print(li)
|
||||
mi = np.empty((2, len(layer)), dtype=int)
|
||||
mi[0] = lb + 1 + li
|
||||
mi[1] = lb + layer - (1 + li)
|
||||
mi[0] = lb + 1 + li + include_origin
|
||||
mi[1] = lb + layer - (1 + li) + include_origin
|
||||
# there are two non-musters in each even layer, one non-muster in each odd
|
||||
layer = (2*np.arange(((3*maxlayer)//2))+1)//3 + 1
|
||||
nmi = 3*layer*(layer-1)
|
||||
nmi[2::3] += layer[2::3] // 2 # second non-musters in even layers
|
||||
nmi += include_origin
|
||||
|
||||
for layer in range(1,maxlayer+1):
|
||||
for i in range(6):
|
||||
|
|
@ -51,6 +51,14 @@ def generate_trianglepoints(maxlayer, include_origin = False, v3d = True, circul
|
|||
mask0 = mask[si[0]]
|
||||
si_ = si[:,mask0]
|
||||
si = cum[si_]
|
||||
if mirrorindices:
|
||||
cum = np.cumsum(mask) - 1
|
||||
mask0 = mask[mi[0]]
|
||||
mi_ = mi[:,mask0]
|
||||
mi = cum[mi_]
|
||||
mask0 = mask[nmi]
|
||||
nmi_ = nmi[mask0]
|
||||
nmi = cum[nmi_]
|
||||
if not (mirrorindices or sixthindices):
|
||||
return points
|
||||
else:
|
||||
|
|
@ -63,7 +71,6 @@ def generate_trianglepoints_hexcomplement(maxlayer, v3d = True, circular = True,
|
|||
e6 = np.array([[math.cos(2*math.pi*i/6),math.sin(2*math.pi*i/6),0] if v3d else [math.cos(2*math.pi*i/6),math.sin(2*math.pi*i/6)] for i in range(6)])
|
||||
f6 = np.array([[-math.sin(2*math.pi*i/6),math.cos(2*math.pi*i/6),0] if v3d else [math.sin(2*math.pi*i/6),-math.cos(2*math.pi*i/6)] for i in range(6)])
|
||||
points = np.empty((3*maxlayer*maxlayer, 3 if v3d else 2))
|
||||
#print(len(points))
|
||||
point_i = 0
|
||||
# 3 * layer ** 2 is the basis index for a layer, a layer contains 3 * (2*layer + 1) points
|
||||
if thirdindices:
|
||||
|
|
@ -73,10 +80,10 @@ def generate_trianglepoints_hexcomplement(maxlayer, v3d = True, circular = True,
|
|||
#ti0 = 2*layer**2 + ii
|
||||
ti = np.arange(3)[:, nx] * (2*layer + 1)[nx, :] + (2*layer**2 + ii)[nx,:]
|
||||
if mirrorindices:
|
||||
ii = np.arange((maxlayer-1)*maxlayer/2)
|
||||
layer = np.empty(((maxlayer-1)*maxlayer//2), dtype=int)
|
||||
ii = np.arange(((maxlayer-1)*maxlayer)//2)
|
||||
layer = np.empty((((maxlayer-1)*maxlayer)//2), dtype=int)
|
||||
layer = (np.sqrt(1+8*ii, out=layer, casting='unsafe')+1)//2
|
||||
li = ii - ((layer - 1) * (layer-2))//2# numbers indices in a each layer
|
||||
li = ii - ((layer ) * (layer-1))//2# numbers indices in a each layer
|
||||
lb = 3*layer **2 # base index of a layer
|
||||
mi = np.empty((2,len(layer)), dtype=int)
|
||||
mi[0] = lb + li + layer % 2
|
||||
|
|
@ -86,13 +93,11 @@ def generate_trianglepoints_hexcomplement(maxlayer, v3d = True, circular = True,
|
|||
lb = 3 * layer**2
|
||||
nmi = lb + ((layer + 1) % 2) * layer
|
||||
for layer in range(0,maxlayer):
|
||||
#print(layer)
|
||||
if (layer % 2): # odd layer
|
||||
for i in range(3):
|
||||
base = f6[(2*i-1)%6] * ((0.5 + 1.5 * layer) / s3)
|
||||
shift = e6[(2*i+2)%6]
|
||||
count = (layer + 1) // 2
|
||||
#print(point_i, count)
|
||||
ar = np.arange(count)
|
||||
points[point_i:point_i+count,:] = base + ar[:,nx]*shift[nx,:]
|
||||
point_i += count
|
||||
|
|
@ -100,15 +105,13 @@ def generate_trianglepoints_hexcomplement(maxlayer, v3d = True, circular = True,
|
|||
base = e6[(2*i+1)%6]*layer + f6[(2*i)%6] / s3
|
||||
shift = e6[(2*i+3)%6]
|
||||
count = layer
|
||||
#print(point_i, count)
|
||||
ar = np.arange(count)
|
||||
points[point_i:point_i+count,:] = base + ar[:,nx]*shift[nx,:]
|
||||
point_i += count
|
||||
|
||||
base = e6[(2*i+2)%6]*layer + f6[(2*i)%6] / s3
|
||||
shift = e6[(2*i+4)%6]
|
||||
count = (layer + 1) / 2
|
||||
#print(point_i, count)
|
||||
count = (layer + 1) // 2
|
||||
ar = np.arange(count)
|
||||
points[point_i:point_i+count,:] = base + ar[:,nx]*shift[nx,:]
|
||||
point_i += count
|
||||
|
|
@ -116,8 +119,7 @@ def generate_trianglepoints_hexcomplement(maxlayer, v3d = True, circular = True,
|
|||
for i in range(3):
|
||||
shift = e6[(2*i+2)%6]
|
||||
base = f6[(2*i-1)%6] * ((0.5 + 1.5 * layer) / s3) + shift / 2
|
||||
count = layer / 2
|
||||
#print(point_i, count)
|
||||
count = layer // 2
|
||||
ar = np.arange(count)
|
||||
points[point_i:point_i+count,:] = base + ar[:,nx]*shift[nx,:]
|
||||
point_i += count
|
||||
|
|
@ -125,15 +127,13 @@ def generate_trianglepoints_hexcomplement(maxlayer, v3d = True, circular = True,
|
|||
base = e6[(2*i+1)%6]*layer + f6[(2*i)%6] / s3
|
||||
shift = e6[(2*i+3)%6]
|
||||
count = layer
|
||||
#print(point_i, count)
|
||||
ar = np.arange(count)
|
||||
points[point_i:point_i+count,:] = base + ar[:,nx]*shift[nx,:]
|
||||
point_i += count
|
||||
|
||||
base = e6[(2*i+2)%6]*layer + f6[(2*i)%6] / s3
|
||||
shift = e6[(2*i+4)%6]
|
||||
count = (layer + 2) / 2
|
||||
#print(point_i, count)
|
||||
count = (layer + 2) // 2
|
||||
ar = np.arange(count)
|
||||
points[point_i:point_i+count,:] = base + ar[:,nx]*shift[nx,:]
|
||||
point_i += count
|
||||
|
|
@ -161,5 +161,5 @@ def generate_trianglepoints_hexcomplement(maxlayer, v3d = True, circular = True,
|
|||
return {'points': points,
|
||||
'ti' : ti if thirdindices else None,
|
||||
'mi' : mi if mirrorindices else None,
|
||||
'nmi' : nmi if mirrorindices else None}
|
||||
|
||||
'nmi' : nmi if mirrorindices else None
|
||||
}
|
||||
|
|
|
|||
Loading…
Reference in New Issue