def _apply_clone(g_id, xform):
# start with 'identity'
xf = radia.TrfTrsl([0, 0, 0])
for clone_xform in xform.transforms:
cxf = PKDict(clone_xform)
if cxf.model == 'translateClone':
txf = radia.TrfTrsl(_split_comma_field(cxf.distance, 'float'))
xf = radia.TrfCmbL(xf, txf)
if cxf.model == 'rotateClone':
rxf = radia.TrfRot(_split_comma_field(cxf.center, 'float'),
_split_comma_field(cxf.axis, 'float'),
numpy.pi * float(cxf.angle) / 180.)
xf = radia.TrfCmbL(xf, rxf)
if xform.alternateFields != '0':
xf = radia.TrfCmbL(xf, radia.TrfInv())
radia.TrfMlt(g_id, xf, xform.numCopies + 1)
def wradTranslate(self, translation_vector):
'''trying to write a translation function'''
#translate vertices
for i in range(len(self.vertices)):
self.vertices[i] = self.vertices[i] + translation_vector
#translate radia object
tran = rd.TrfTrsl(translation_vector)
rd.TrfOrnt(self.radobj, tran)
def _apply_clone(g_id, xform):
xform = PKDict(xform)
# start with 'identity'
xf = radia.TrfTrsl([0, 0, 0])
for clone_xform in xform.transforms:
cxf = PKDict(clone_xform)
if cxf.model == 'translateClone':
txf = radia.TrfTrsl(
sirepo.util.split_comma_delimited_string(cxf.distance, float)
)
xf = radia.TrfCmbL(xf, txf)
if cxf.model == 'rotateClone':
rxf = radia.TrfRot(
sirepo.util.split_comma_delimited_string(cxf.center, float),
sirepo.util.split_comma_delimited_string(cxf.axis, float),
numpy.pi * float(cxf.angle) / 180.
)
xf = radia.TrfCmbL(xf, rxf)
if xform.alternateFields != '0':
xf = radia.TrfCmbL(xf, radia.TrfInv())
radia.TrfMlt(g_id, xf, xform.numCopies + 1)
def _apply_translation(g_id, xform):
radia.TrfOrnt(g_id,
radia.TrfTrsl(_split_comma_field(xform.distance, 'float')))
def shift(self, value):
"""Shift radia object."""
if self._radia_object is not None:
self._radia_object = _rad.TrfOrnt(self._radia_object,
_rad.TrfTrsl(value))
def _apply_translation(g_id, xform):
xform = PKDict(xform)
radia.TrfOrnt(
g_id,
radia.TrfTrsl(sirepo.util.split_comma_delimited_string(xform.distance, float))
)
def _clone_with_translation(g_id, num_copies, distance, alternate_fields):
xf = radia.TrfTrsl(distance)
if alternate_fields:
xf = radia.TrfCmbL(xf, radia.TrfInv())
radia.TrfMlt(g_id, xf, num_copies + 1)
#mag01sbd = rad.ObjDivMagPln(mag01, [[2,0.5],[3,0.2],[4,0.1]], [1,0.4,0.1], [0.4,1,0.2], [0,0,1], 'Frame->Lab')
mag01sbd = rad.ObjDivMagPln(mag01, [[2,0.5],[3,0.2],[4,0.1]])
#rad.ObjDrwOpenGL(mag01sbd)
#mag00sbd = rad.ObjDivMag(mag00, [[2,0.5],[3,0.2],[4,0.1]], 'cyl', [[2.5,4,0],[0,0,1],[8,0,0],3], 'Frame->Lab')
#mag00sbd = rad.ObjDivMagCyl(mag00, [[2,0.5],[3,0.2],[4,0.1]], [2.5,4,0], [0,0,1], [8,0,0], 3, 'Frame->Lab')
print('Volume of 3D object:', rad.ObjGeoVol(mag01sbd))
print('Geom. Limits of 3D object:', rad.ObjGeoLim(mag01sbd))
#rad.ObjDrwOpenGL(mag01)
trf01 = rad.TrfPlSym([0,10,0], [0,1,0])
trf02 = rad.TrfRot([0,10,0], [0,0,1], 1.)
trf03 = rad.TrfTrsl([30,10,0])
trf04 = rad.TrfInv()
trf05 = rad.TrfCmbL(trf01, trf04)
trf06 = rad.TrfCmbR(trf01, trf04)
#rad.TrfMlt(mag01, trf03, 3)
rad.TrfOrnt(mag01, trf06)
#rad.ObjDrwOpenGL(mag01)
matNdFeB = rad.MatStd('NdFeB')
M = rad.MatMvsH(matNdFeB, 'M', [0,0,0])
print('NdFeB material index:', matNdFeB, ' Magnetization:', M)
matLin01 = rad.MatLin([0.1,0.2],1.1)
matLin02 = rad.MatLin([0.1,0.2],[0,0,1.1])
def shift(self, value):
self._radia_object = _rad.TrfOrnt(
self._radia_object, _rad.TrfTrsl(value))
def build(self):
"""Create a quadrupole with the given geometry."""
if self.solve_state < SolveState.SHAPES:
self.define_shapes()
rad.UtiDelAll()
origin = [0, 0, 0]
nx = [1, 0, 0]
ny = [0, 1, 0]
nz = [0, 0, 1]
tip_mesh = round(self.min_mesh)
pole_mesh = round(self.min_mesh * self.pole_mult)
yoke_mesh = round(self.min_mesh * self.yoke_mult)
length = self.length
# Subdivide the pole tip cylindrically. The axis is where the edge of the tapered pole meets the Y-axis.
points = rotate45(self.tip_points)
x2, y2 = points[-2] # top right of pole
x3, y3 = points[-3] # bottom right of pole
m = (y2 - y3) / (x2 - x3)
c = y2 - m * x2
pole_tip = rad.ObjThckPgn(length / 2, length, points, "z")
# Slice off the chamfer (note the indexing at the end here - selects the pole not the cut-off piece)
pole_tip = rad.ObjCutMag(pole_tip, [length - self.chamfer, 0, self.r], [1, 0, -1])[0]
n_div = max(1, round(math.sqrt((x2 - x3) ** 2 + (y2 - y3) ** 2) / pole_mesh))
# We have to specify the q values here (second element of each sublist in the subdivision argument)
# otherwise weird things happen
mesh = [[n_div, 4], [tip_mesh / 3, 1], [tip_mesh, 1]]
div_opts = 'Frame->Lab;kxkykz->Size'
# rad.ObjDivMag(pole_tip, [[tip_mesh, 1], [tip_mesh, 1], [tip_mesh, 3]], div_opts)
rad.ObjDivMag(pole_tip, mesh, "cyl", [[[0, c, 0], nz], nx, 1], div_opts)
rad.TrfOrnt(pole_tip, rad.TrfRot(origin, nz, -math.pi / 4))
pole = rad.ObjThckPgn(length / 2, length, rotate45(self.pole_points), "z")
rad.ObjDivMag(pole, [pole_mesh, ] * 3, div_opts)
rad.TrfOrnt(pole, rad.TrfRot(origin, nz, -math.pi / 4))
# Need to split yoke since Radia can't build concave blocks
points = rotate45(self.yoke_points[:2] + self.yoke_points[-2:])
# yoke1 is the part that joins the pole to the yoke
# Subdivide this cylindrically since the flux goes around a corner here
# The axis is the second point (x1, y1)
x1, y1 = points[1]
yoke1 = rad.ObjThckPgn(length / 2, length, points, "z")
cyl_div = [[[x1, y1, 0], nz], [self.width, self.width, 0], 1]
# The first (kr) argument, corresponding to radial subdivision,
# in rad.ObjDivMag cuts by number not size even though kxkykz->Size is specified.
# So we have to fudge this. It seems to require a larger number to give the right number of subdivisions.
n_div = max(1, round(2 * self.width / yoke_mesh))
rad.ObjDivMag(yoke1, [n_div, yoke_mesh, yoke_mesh], "cyl", cyl_div, div_opts)
rad.TrfOrnt(yoke1, rad.TrfRot(origin, nz, -math.pi / 4))
# For the second part of the yoke, we use cylindrical subdivision again. But the axis is not on the corner;
# instead we calculate the point where the two lines converge (xc, yc).
points = self.yoke_points[1:3] + self.yoke_points[-3:-1]
x0, y0 = points[0]
x1, y1 = points[1]
x2, y2 = points[2]
x3, y3 = points[3]
m1 = (y3 - y0) / (x3 - x0)
m2 = (y2 - y1) / (x2 - x1)
c1 = y0 - m1 * x0
c2 = y1 - m2 * x1
xc = (c2 - c1) / (m1 - m2)
yc = m1 * xc + c1
yoke2 = rad.ObjThckPgn(length / 2, length, points, 'z')
cyl_div = [[[xc, yc, 0], nz], [x3 - xc, y3 - yc, 0], 1]
n_div = max(1, round(0.7 * n_div)) # this is a bit of a fudge
rad.ObjDivMag(yoke2, [n_div, yoke_mesh, yoke_mesh], "cyl", cyl_div, div_opts)
yoke3 = rad.ObjThckPgn(length / 2, length, self.yoke_points[2:6], "z")
rad.ObjDivMag(yoke3, [yoke_mesh, ] * 3, div_opts)
steel = rad.ObjCnt([pole_tip, pole, yoke1, yoke2, yoke3])
rad.ObjDrwAtr(steel, [0, 0, 1], 0.001) # blue steel
rad.TrfOrnt(steel, rad.TrfRot(origin, ny, -math.pi / 2))
rad.ObjDrwOpenGL(steel)
rad.TrfOrnt(steel, rad.TrfRot(origin, ny, math.pi / 2))
# rad.TrfMlt(steel, rad.TrfPlSym([0, 0, 0], [1, -1, 0]), 2) # reflect along X=Y line to create a quadrant
rad.TrfZerPerp(steel, origin, [1, -1, 0])
rad.TrfZerPerp(steel, origin, nz)
steel_material = rad.MatSatIsoFrm([2000, 2], [0.1, 2], [0.1, 2])
steel_material = rad.MatStd('Steel42')
steel_material = rad.MatSatIsoFrm([959.703184, 1.41019852], [33.9916543, 0.5389669], [1.39161186, 0.64144324])
rad.MatApl(steel, steel_material)
coil = rad.ObjRaceTrk(origin, [5, 5 + self.coil_width],
[self.coil_x * 2 - self.r, length * 2], self.coil_height, 4, self.current_density)
rad.TrfOrnt(coil, rad.TrfRot(origin, nx, -math.pi / 2))
rad.TrfOrnt(coil, rad.TrfTrsl([0, self.r + self.taper_height + self.coil_height / 2, 0]))
rad.TrfOrnt(coil, rad.TrfRot(origin, nz, -math.pi / 4))
rad.ObjDrwAtr(coil, [1, 0, 0], 0.001) # red coil
quad = rad.ObjCnt([steel, coil])
rad.TrfZerPara(quad, origin, nx)
rad.TrfZerPara(quad, origin, ny)
# rad.ObjDrwOpenGL(quad)
self.radia_object = quad
self.solve_state = SolveState.BUILT
def shift(self, value):
"""Shift the radia object."""
if self._radia_object is not None:
self._radia_object = _rad.TrfOrnt(self._radia_object,
_rad.TrfTrsl(value))
self._longitudinal_position += value[2]