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pfasst_pysdc.py
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from pfasst import Pfasst
class PfasstPySDC(Pfasst):
def __init__(self, *args, **kwargs):
"""
Constructor
"""
super().__init__(*args, **kwargs)
def pfasst(self, k):
"""
k'th PFASST iteration
:param k: iteration
"""
for level in range(0, self.L - 1):
for i in range(1, self.nt):
if level > 0:
for j in range(self.nsweeps[level]):
if i > 1 and j>0:
self.copy_and_f_eval_single(op_in=['u', self.cr_dict(iteration=k - 1, level=level, time_point=i - 1, colloc_node='last')],
op_out_1=['u', self.cr_dict(iteration=k - 1, level=level, time_point=i, colloc_node='first')],
op_out_2=['f', self.cr_dict(iteration=k - 1, level=level, time_point=i, colloc_node='first')],
level=level,
i=i)
self.sdc_sweep(op_in_1=['u', self.cr_dict(iteration=k - 1, level=level, time_point=i, colloc_node='all')],
op_in_2=['f', self.cr_dict(iteration=k - 1, level=level, time_point=i, colloc_node='all')],
op_in_3=None if level == 0 else ['tau',
self.cr_dict(iteration=k, level=level, time_point=i, colloc_node='all')],
op_out_1=['u', self.cr_dict(iteration=k, level=level, time_point=i, colloc_node='all')],
op_out_2=['f', self.cr_dict(iteration=k, level=level, time_point=i, colloc_node='all')],
level=level,
i=i)
else:
self.copy(op_in=['u', self.cr_dict(iteration=k - 1, level=level, time_point=i, colloc_node='all')],
op_out=['u', self.cr_dict(iteration=k, level=level, time_point=i, colloc_node='all')],
level=level,
i=i)
self.copy(op_in=['f', self.cr_dict(iteration=k - 1, level=level, time_point=i, colloc_node='all')],
op_out=['f', self.cr_dict(iteration=k, level=level, time_point=i, colloc_node='all')],
level=level,
i=i)
self.restrict_all(op_in=['u', self.cr_dict(iteration=k, level=level, time_point=i, colloc_node='all')],
op_out=['u', self.cr_dict(iteration=k - 1, level=level + 1, time_point=i, colloc_node='all')],
level=level,
i=i)
self.f_eval_all(op_in=['u', self.cr_dict(iteration=k - 1, level=level + 1, time_point=i, colloc_node='all')],
op_out=['f', self.cr_dict(iteration=k - 1, level=level + 1, time_point=i, colloc_node='all')],
level=level,
i=i,
cost=self.cost_f_eval_all[level + 1])
self.fas(op_in_1=['f', self.cr_dict(iteration=k, level=level, time_point=i, colloc_node='all')],
op_in_2=['f', self.cr_dict(iteration=k - 1, level=level + 1, time_point=i, colloc_node='all')],
op_in_3=None if level == 0 else ['tau', self.cr_dict(iteration=k, level=level, time_point=i, colloc_node='all')],
op_out=['tau', self.cr_dict(iteration=k, level=level + 1, time_point=i, colloc_node='all')],
level=level,
i=i)
if self.placing_conv_crit == 1:
self.update_cc(k=k)
self.convergence_criterion(poins_with_dependencies=self.cc)
# Coarsest level
for i in range(1, self.nt):
if i > 1:
self.copy_and_f_eval_single(op_in=['u', self.cr_dict(iteration=k, level=self.L - 1, time_point=i - 1, colloc_node='last')],
op_out_1=['u', self.cr_dict(iteration=k - 1, level=self.L - 1, time_point=i, colloc_node='first')],
op_out_2=['f', self.cr_dict(iteration=k - 1, level=self.L - 1, time_point=i, colloc_node='first')],
level=self.L - 1,
i=i)
for _ in range(self.nsweeps[self.L - 1]):
self.sdc_sweep(op_in_1=['u', self.cr_dict(iteration=k - 1, level=self.L - 1, time_point=i, colloc_node='all')],
op_in_2=['f', self.cr_dict(iteration=k - 1, level=self.L - 1, time_point=i, colloc_node='all')],
op_in_3=['tau', self.cr_dict(iteration=k, level=self.L - 1, time_point=i, colloc_node='all')],
op_out_1=['u', self.cr_dict(iteration=k, level=self.L - 1, time_point=i, colloc_node='all')],
op_out_2=['v', self.cr_dict(iteration=k, level=self.L - 1, time_point=i, colloc_node='all')],
level=self.L - 1,
i=i)
for level in range(self.L - 2, -1, -1):
for i in range(1, self.nt):
self.interpolate_and_correct_all(op_in_1=['u', self.cr_dict(iteration=k, level=level, time_point=i, colloc_node='all')],
op_in_2=['u', self.cr_dict(iteration=k, level=level + 1, time_point=i, colloc_node='all')],
op_in_3=['u', self.cr_dict(iteration=k - 1, level=level + 1, time_point=i, colloc_node='all')],
op_out=['v', self.cr_dict(iteration=k, level=level, time_point=i, colloc_node='all')],
level=level,
i=i, )
self.f_eval_all(op_in=['v', self.cr_dict(iteration=k, level=level, time_point=i, colloc_node='all')],
op_out=['f', self.cr_dict(iteration=k, level=level, time_point=i, colloc_node='all')],
level=level,
i=i,
cost=self.cost_f_eval_all[level] if self.pfasst_style == 'classic' else
self.cost_f_eval_all[level] - self.cost_f_eval_single[level])
for i in range(1, self.nt):
for j in range(self.nsweeps[level]):
if i > 1:
if j==0:
var_in = 'v'
else:
var_in = 'v_'+str(j-1)
self.copy_and_f_eval_single(op_in=[var_in, self.cr_dict(iteration=k, level=level, time_point=i - 1, colloc_node='last')],
op_out_1=[var_in, self.cr_dict(iteration=k - 1, level=level, time_point=i, colloc_node='first')],
op_out_2=['f', self.cr_dict(iteration=k - 1, level=level, time_point=i, colloc_node='first')],
level=level,
i=i)
if j == 0:
var_in = 'v'
else:
var_in = 'v_' + str(j - 1)
self.sdc_sweep(op_in_1=[var_in, self.cr_dict(iteration=k, level=level, time_point=i, colloc_node='all')],
op_in_2=['f', self.cr_dict(iteration=k, level=level, time_point=i, colloc_node='all')],
op_in_3=None if level == 0 else ['tau',
self.cr_dict(iteration=k, level=level, time_point=i, colloc_node='all')],
op_out_1=['u', self.cr_dict(iteration=k, level=level, time_point=i, colloc_node='all')],
op_out_2=['v_' + str(j), self.cr_dict(iteration=k, level=level, time_point=i, colloc_node='all')],
level=level,
i=i)
for i in range(1, self.nt):
if i > 1:
self.copy_and_f_eval_single(op_in=['u', self.cr_dict(iteration=k, level=0, time_point=i - 1, colloc_node='last')],
op_out_1=['u', self.cr_dict(iteration=k, level=0, time_point=i, colloc_node='first')],
op_out_2=['f', self.cr_dict(iteration=k, level=0, time_point=i, colloc_node='first')],
level=0,
i=i)
def predict(self):
"""
Predictor
"""
for i in range(1, self.nt):
self.add_node(name="c0|",
predecessors=['u_0'],
set_values=self.create_node_name(var_name='u',
var_dict=self.cr_dict(iteration=0, level=0, time_point=i, colloc_node='first')),
cost=self.cost_copy[0],
point=i,
description='Set first point of every time step to initial value')
self.add_node(name="C0|",
predecessors=['0'],
set_values=self.create_node_name(var_name='u',
var_dict=self.cr_dict(iteration=0, level=0, time_point=i, colloc_node='last')),
cost=self.cost_copy[0],
point=i,
description='Set last point of every time step to 0')
self.add_node(name="C0|",
predecessors=['0'],
set_values=self.create_node_name(var_name='f',
var_dict=self.cr_dict(iteration=0, level=0, time_point=i, colloc_node='all')),
cost=self.cost_copy[0],
point=i,
description='Set f to 0')
if self.predict_type == 'fine_only':
level = 0
for i in range(1, self.nt):
self.f_eval_all(op_in=['u', self.cr_dict(iteration=0, level=0, time_point=i, colloc_node='all')],
op_out=['f', self.cr_dict(iteration=0, level=0, time_point=i, colloc_node='all')],
level=level,
i=i,
cost=self.cost_f_eval_all[level])
self.sdc_sweep(op_in_1=['u', self.cr_dict(iteration=0, level=0, time_point=i, colloc_node='all')],
op_in_2=['f', self.cr_dict(iteration=0, level=0, time_point=i, colloc_node='all')],
op_in_3=None,
op_out_1=['u', self.cr_dict(iteration=0, level=0, time_point=i, colloc_node='all')],
op_out_2=['f', self.cr_dict(iteration=0, level=0, time_point=i, colloc_node='all')],
level=level,
i=i)
if i > 1:
self.copy_and_f_eval_single(op_in=['u', self.cr_dict(iteration=0, level=0, time_point=i, colloc_node='last')],
op_out_1=['u', self.cr_dict(iteration=0, level=0, time_point=i, colloc_node='first')],
op_out_2=['f', self.cr_dict(iteration=0, level=0, time_point=i, colloc_node='first')],
level=level,
i=i)
elif self.predict_type == 'libpfasst_style':
raise Exception("not implemented")
elif self.predict_type == 'pfasst_burnin':
raise Exception('not implemented')
elif self.predict_type is None:
raise Exception('not implemented')