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dynamics_Boris_f2py.py
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dynamics_Boris_f2py.py
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#-Begin-preamble-------------------------------------------------------
#
# CERN
#
# European Organization for Nuclear Research
#
#
# This file is part of the code:
#
# PyECLOUD Version 8.7.0
#
#
# Main author: Giovanni IADAROLA
# BE-ABP Group
# CERN
# CH-1211 GENEVA 23
# SWITZERLAND
#
# Contributors: Eleonora Belli
# Philipp Dijkstal
# Lorenzo Giacomel
# Lotta Mether
# Annalisa Romano
# Giovanni Rumolo
# Eric Wulff
#
#
# Copyright CERN, Geneva 2011 - Copyright and any other
# appropriate legal protection of this computer program and
# associated documentation reserved in all countries of the
# world.
#
# Organizations collaborating with CERN may receive this program
# and documentation freely and without charge.
#
# CERN undertakes no obligation for the maintenance of this
# program, nor responsibility for its correctness, and accepts
# no liability whatsoever resulting from its use.
#
# Program and documentation are provided solely for the use of
# the organization to which they are distributed.
#
# This program may not be copied or otherwise distributed
# without permission. This message must be retained on this and
# any other authorized copies.
#
# The material cannot be sold. CERN should be given credit in
# all references.
#
#-End-preamble---------------------------------------------------------
from numpy import squeeze
import scipy.io as sio
from . import int_field_for as iff
from .boris_step import boris_step
def crprod(bx, by, bz, cx, cy, cz):
ax = by * cz - bz * cy
ay = bz * cx - bx * cz
az = bx * cy - by * cx
return ax, ay, az
class B_none():
def __init__(self, B0x, B0y, B0z):
self.B0x = B0x
self.B0y = B0y
self.B0z = B0z
def get_B(self, xn, yn):
Bx_n = 0 * xn + self.B0x
By_n = 0 * xn + self.B0y
Bz_n = 0 * xn + self.B0z
return Bx_n, By_n, Bz_n
class B_quad():
def __init__(self, B0x, B0y, B0z, fact_Bmap):
self.B0x = B0x
self.B0y = B0y
self.B0z = B0z
self.fact_Bmap = fact_Bmap
def get_B(self, xn, yn):
Bx_n = self.fact_Bmap * yn.copy()
By_n = self.fact_Bmap * xn.copy()
Bx_n = Bx_n + self.B0x
By_n = By_n + self.B0y
Bz_n = 0 * xn + self.B0z
return Bx_n, By_n, Bz_n
class B_file():
def __init__(self, B0x, B0y, B0z, fact_Bmap, B_map_file):
print('Loading B map')
dict_Bmap = sio.loadmat(B_map_file)
self.Bmap_x = fact_Bmap * squeeze(dict_Bmap['Bx'].real)
self.Bmap_y = fact_Bmap * squeeze(dict_Bmap['By'].real)
if 'Bz' in dict_Bmap.keys():
self.has_Bz = True
self.Bmap_z = fact_Bmap * squeeze(dict_Bmap['Bz'].real)
else:
self.has_Bz = False
self.xx = squeeze(dict_Bmap['xx'].T)
self.yy = squeeze(dict_Bmap['yy'].T)
self.B0x = B0x
self.B0y = B0y
self.B0z = B0z
self.xmin = min(self.xx)
self.ymin = min(self.yy)
self.dx = self.xx[1] - self.xx[0]
self.dy = self.yy[1] - self.yy[0]
def get_B(self, xn, yn):
Bx_n, By_n = iff.int_field(xn, yn, self.xmin, self.ymin,\
self.dx, self.dy, self.Bmap_x, self.Bmap_y)
if self.has_Bz:
Bz_n, _ = iff.int_field(xn, yn, self.xmin, self.ymin,
self.dx, self.dy, self.Bmap_z, self.Bmap_y)
else:
Bz_n = 0. * xn
# the rescaling factor has already been applied to the map
Bx_n = Bx_n + self.B0x
By_n = By_n + self.B0y
Bz_n = Bz_n + self.B0z
return Bx_n, By_n, Bz_n
class pusher_Boris():
def __init__(self, Dt, B0x, B0y, B0z, \
B_map_file, fact_Bmap, N_sub_steps=1):
print("Tracker: Boris")
self.Dt = Dt
self.N_sub_steps = N_sub_steps
self.Dtt = Dt / float(N_sub_steps)
self.B0x = B0x
self.B0y = B0y
self.B0z = B0z
self.fact_Bmap = fact_Bmap
if B_map_file is None:
self.B_ob = B_none(B0x, B0y, B0z)
elif B_map_file == 'analytic_qaudrupole_unit_grad':
print("B map analytic quadrupole")
self.B_ob = B_quad(B0x, B0y, B0z, fact_Bmap)
else:
self.B_ob = B_file(B0x, B0y, B0z, fact_Bmap, B_map_file)
print("N_subst_init=%d" % self.N_sub_steps)
#@profile
def step(self, MP_e, Ex_n, Ey_n, Ez_n=0., Bx_n=0., By_n=0., Bz_n=0.):
if MP_e.N_mp > 0:
xn1 = MP_e.x_mp[0:MP_e.N_mp]
yn1 = MP_e.y_mp[0:MP_e.N_mp]
zn1 = MP_e.z_mp[0:MP_e.N_mp]
vxn1 = MP_e.vx_mp[0:MP_e.N_mp]
vyn1 = MP_e.vy_mp[0:MP_e.N_mp]
vzn1 = MP_e.vz_mp[0:MP_e.N_mp]
mass = MP_e.mass
charge = MP_e.charge
if Ez_n == 0.:
Ez_n = 0. * xn1
for ii in range(self.N_sub_steps):
Bx_n, By_n, Bz_n = self.B_ob.get_B(xn1, yn1)
boris_step(self.Dtt, xn1, yn1, zn1, vxn1, vyn1, vzn1,
Ex_n, Ey_n, Ez_n, Bx_n, By_n, Bz_n, mass, charge)
MP_e.x_mp[0:MP_e.N_mp] = xn1
MP_e.y_mp[0:MP_e.N_mp] = yn1
MP_e.z_mp[0:MP_e.N_mp] = zn1
MP_e.vx_mp[0:MP_e.N_mp] = vxn1
MP_e.vy_mp[0:MP_e.N_mp] = vyn1
MP_e.vz_mp[0:MP_e.N_mp] = vzn1
return MP_e
def stepcustomDt(self, MP_e, Ex_n, Ey_n, Ez_n=0., Bx_n=0., By_n=0., Bz_n=0., Dt_substep=None, N_sub_steps=None):
if MP_e.N_mp > 0:
xn1 = MP_e.x_mp[0:MP_e.N_mp]
yn1 = MP_e.y_mp[0:MP_e.N_mp]
zn1 = MP_e.z_mp[0:MP_e.N_mp]
vxn1 = MP_e.vx_mp[0:MP_e.N_mp]
vyn1 = MP_e.vy_mp[0:MP_e.N_mp]
vzn1 = MP_e.vz_mp[0:MP_e.N_mp]
mass = MP_e.mass
charge = MP_e.charge
if Ez_n == 0.:
Ez_n = 0. * xn1
for ii in range(N_sub_steps):
Bx_n, By_n, Bz_n = self.B_ob.get_B(xn1, yn1)
boris_step(Dt_substep, xn1, yn1, zn1, vxn1, vyn1, vzn1,
Ex_n, Ey_n, Ez_n, Bx_n, By_n, Bz_n, mass, charge)
MP_e.x_mp[0:MP_e.N_mp] = xn1
MP_e.y_mp[0:MP_e.N_mp] = yn1
MP_e.z_mp[0:MP_e.N_mp] = zn1
MP_e.vx_mp[0:MP_e.N_mp] = vxn1
MP_e.vy_mp[0:MP_e.N_mp] = vyn1
MP_e.vz_mp[0:MP_e.N_mp] = vzn1
return MP_e