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# SPDX-License-Identifier: GPL-2.0-or-later
from math import sin, cos, sqrt
from .vefm_271 import *
class form(mesh):
def __init__(self, uresolution, vresolution, uscale, vscale, upart,
vpart, uphase, vphase, utwist, vtwist, xscale, yscale, sform):
mesh.__init__(self)
self.PKHG_parameters = [uresolution, vresolution, uscale, vscale, upart,
vpart, uphase, vphase, utwist, vtwist, xscale, yscale, sform]
self.ures = uresolution
self.vres = vresolution
self.uscale = uscale
self.vscale = vscale
self.upart = upart
self.vpart = vpart
self.uphase = uphase * self.a360
self.vphase = vphase * self.a360
self.utwist = utwist
self.vtwist = vtwist
self.xscale = xscale
self.yscale = yscale
self.sform = sform
if self.upart != 1.0: # there is a gap in the major radius
self.uflag = 1
else:
self.uflag = 0
if self.vpart != 1.0: # there is a gap in the minor radius
self.vflag = 1
else:
self.vflag = 0
if self.uflag:
self.ufinish = self.ures + 1
else:
self.ufinish = self.ures
if self.vflag:
self.vfinish = self.vres + 1
else:
self.vfinish = self.vres
self.ustep = (self.a360 / self.ures) * self.upart
self.vstep = (self.a360 / self.vres) * self.vpart
if self.xscale != 1.0:
self.xscaleflag = 1
else:
self.xscaleflag = 0
if self.yscale != 1.0:
self.yscaleflag = 1
else:
self.yscaleflag = 0
self.rowlist = []
def generatepoints(self):
for i in range(self.ufinish):
row = []
for j in range(self.vfinish):
u = self.ustep * i + self.uphase
v = self.vstep * j + self.vphase
if self.sform[12]:
r1 = self.superform(self.sform[0], self.sform[1], self.sform[2],
self.sform[3], self.sform[14] + u, self.sform[4],
self.sform[5], self.sform[16] * v)
else:
r1 = 1.0
if self.sform[13]:
r2 = self.superform(self.sform[6], self.sform[7], self.sform[8],
self.sform[9], self.sform[15] + v, self.sform[10],
self.sform[11], self.sform[17] * v)
else:
r2 = 1.0
x, y, z = self.formula(u, v, r1, r2)
point = vertex((x, y, z))
row.append(point)
self.verts.append(point)
self.rowlist.append(row)
if self.vflag:
pass
else:
for i in range(len(self.rowlist)):
self.rowlist[i].append(self.rowlist[i][0])
if self.uflag:
pass
else:
self.rowlist.append(self.rowlist[0])
def generatefaces(self):
ufin = len(self.rowlist) - 1
vfin = len(self.rowlist[0]) - 1
for i in range(ufin):
for j in range(vfin):
top = i
bottom = i + 1
left = j
right = j + 1
a = self.rowlist[top][left]
b = self.rowlist[top][right]
c = self.rowlist[bottom][right]
d = self.rowlist[bottom][left]
face1 = face([a, b, c, d])
self.faces.append(face1)
edge1 = edge(a, b)
edge2 = edge(a, d)
self.edges.append(edge1)
self.edges.append(edge2)
if i + 1 == ufin:
edge3 = edge(d, c)
self.edges.append(edge3)
if j + 1 == vfin:
edge4 = edge(b, c)
self.edges.append(edge4)
class grid(form):
def __init__(self, uresolution, vresolution, uscale, vscale, upart, vpart,
uphase, vphase, utwist, vtwist, xscale, yscale, sform):
form.__init__(self, uresolution, vresolution, uscale, vscale, upart, vpart,
uphase, vphase, utwist, vtwist, xscale, yscale, sform)
unit = 1.0 / self.a360
if self.ures == 1:
print("\n***ERRORin forms_271.grid L126***, ures is 1, changed into 2\n\n")
self.ures = 2
if self.vres == 1:
print("\n***ERROR in grid forms_271.grid L129***, vres is 1, changed into 2\n\n")
self.vres = 2
self.ustep = self.a360 / (self.ures - 1)
self.vstep = self.a360 / (self.vres - 1)
self.uflag = 1
self.vflag = 1
self.xscaleflag = 0
self.yscaleflag = 0
self.uexpand = unit * self.uscale
self.vexpand = unit * self.vscale
self.ushift = self.uscale * 0.5
self.vshift = self.vscale * 0.5
self.generatepoints()
self.generatefaces()
for i in range(len(self.verts)):
self.verts[i].index = i
self.connectivity()
def formula(self, u, v, r1, r2):
x = u * self.uexpand - self.ushift
y = v * self.vexpand - self.vshift
z = r1 * r2 - 1.0
return x, y, z
class cylinder(form):
def __init__(self, uresolution, vresolution, uscale, vscale, upart, vpart,
uphase, vphase, utwist, vtwist, xscale, yscale, sform):
form.__init__(self, uresolution, vresolution, uscale, vscale, upart, vpart,
uphase, vphase, utwist, vtwist, xscale, yscale, sform)
unit = 1.0 / self.a360
self.vshift = self.vscale * 0.5
self.vexpand = unit * self.vscale
self.vflag = 1
self.generatepoints()
self.generatefaces()
for i in range(len(self.verts)):
self.verts[i].index = i
self.connectivity()
def formula(self, u, v, r1, r2):
x = sin(u) * self.uscale * r1 * r2 * self.xscale
y = cos(u) * self.uscale * r1 * r2
z = v * self.vexpand - self.vshift
return x, y, z
class parabola(form):
def __init__(self, uresolution, vresolution, uscale, vscale, upart, vpart,
uphase, vphase, utwist, vtwist, xscale, yscale, sform):
form.__init__(self, uresolution, vresolution, uscale, vscale, upart, vpart,
uphase, vphase, utwist, vtwist, xscale, yscale, sform)
unit = 1.0 / self.a360
self.vshift = self.vscale * 0.5
self.vexpand = unit * self.vscale
self.vflag = 1
self.generatepoints()
self.generatefaces()
for i in range(len(self.verts)):
self.verts[i].index = i
self.connectivity()
def formula(self, u, v, r1, r2):
factor = sqrt(v) + 0.001
x = sin(u) * factor * self.uscale * r1 * r2 * self.xscale
y = cos(u) * factor * self.uscale * r1 * r2
z = - v * self.vexpand + self.vshift
return x, y, z
class torus(form):
def __init__(self, uresolution, vresolution, uscale, vscale, upart, vpart,
uphase, vphase, utwist, vtwist, xscale, yscale, sform):
form.__init__(self, uresolution, vresolution, uscale, vscale, upart, vpart,
uphase, vphase, utwist, vtwist, xscale, yscale, sform)
self.generatepoints()
self.generatefaces()
for i in range(len(self.verts)):
self.verts[i].index = i
self.connectivity()
def formula(self, u, v, r1, r2):
z = sin(v) * self.uscale * r2 * self.yscale
y = (self.vscale + self.uscale * cos(v)) * cos(u) * r1 * r2
x = (self.vscale + self.uscale * cos(v)) * sin(u) * r1 * r2 * self.xscale
return x, y, z
class sphere(form):
def __init__(self, uresolution, vresolution, uscale, vscale, upart, vpart,
uphase, vphase, utwist, vtwist, xscale, yscale, sform):
form.__init__(self, uresolution, vresolution, uscale, vscale, upart, vpart,
uphase, vphase, utwist, vtwist, xscale, yscale, sform)
self.vstep = (self.a360 / (self.vres - 1)) * self.vpart
self.vflag = 1
self.generatepoints()
self.generatefaces()
for i in range(len(self.verts)):
self.verts[i].index = i
self.connectivity()
def formula(self, u, v, r1, r2):
v = (v * 0.5) - (self.a360 * 0.25)
x = r1 * cos(u) * r2 * cos(v) * self.uscale * self.xscale
y = r1 * sin(u) * r2 * cos(v) * self.uscale
z = r2 * sin(v) * self.uscale * self.yscale
return x, y, z
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