def quaddobl_real_sweep(pols, sols, par='s', start=0.0, target=1.0):
r"""
A real sweep homotopy is a family of n equations in n+1 variables,
where one of the variables is the artificial parameter s which moves
from 0.0 to 1.0. The last equation can then be of the form
(1 - s)*(lambda - L[0]) + s*(lambda - L[1]) = 0 so that,
at s = 0, the natural parameter lambda has the value L[0], and
at s = 1, the natural parameter lambda has the value L[1].
Thus: as s moves from 0 to 1, lambda goes from L[0] to L[1].
All solutions in the list *sols* must have then the value L[0]
for the variable lambda.
The sweep stops when the target value for s is reached
or when a singular solution is encountered.
Computations happen in quad double precision.
"""
from phcpy.interface import store_quaddobl_solutions as storesols
from phcpy.interface import store_quaddobl_system as storesys
nvar = len(pols) + 1
storesys(pols, nbvar=nvar)
storesols(nvar, sols)
# print 'done storing system and solutions ...'
from phcpy.interface import load_quaddobl_solutions as loadsols
from phcpy.phcpy2c2 \
import py2c_sweep_define_parameters_symbolically as define
from phcpy.phcpy2c2 \
import py2c_sweep_set_quaddobl_start as set_start
from phcpy.phcpy2c2 \
import py2c_sweep_set_quaddobl_target as set_target
(nbq, nbp) = (len(pols), 1)
pars = [par]
parnames = ' '.join(pars)
nbc = len(parnames)
# print 'defining the parameters ...'
define(nbq, nvar, nbp, nbc, parnames)
set_start(nbp, str([start, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]))
set_target(nbp, str([target, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]))
from phcpy.phcpy2c2 import py2c_sweep_quaddobl_real_run as run
run()
result = loadsols()
return result
def quaddobl_real_sweep(pols, sols, par='s', start=0.0, target=1.0):
r"""
A real sweep homotopy is a family of n equations in n+1 variables,
where one of the variables is the artificial parameter s which moves
from 0.0 to 1.0. The last equation can then be of the form
(1 - s)*(lambda - L[0]) + s*(lambda - L[1]) = 0 so that,
at s = 0, the natural parameter lambda has the value L[0], and
at s = 1, the natural parameter lambda has the value L[1].
Thus: as s moves from 0 to 1, lambda goes from L[0] to L[1].
All solutions in the list *sols* must have then the value L[0]
for the variable lambda.
The sweep stops when the target value for s is reached
or when a singular solution is encountered.
Computations happen in quad double precision.
"""
from phcpy.interface import store_quaddobl_solutions as storesols
from phcpy.interface import store_quaddobl_system as storesys
nvar = len(pols) + 1
storesys(pols, nbvar=nvar)
storesols(nvar, sols)
print 'done storing system and solutions ...'
from phcpy.interface import load_quaddobl_solutions as loadsols
from phcpy.phcpy2c2 \
import py2c_sweep_define_parameters_symbolically as define
from phcpy.phcpy2c2 \
import py2c_sweep_set_quaddobl_start as set_start
from phcpy.phcpy2c2 \
import py2c_sweep_set_quaddobl_target as set_target
(nbq, nbp) = (len(pols), 1)
pars = [par]
parnames = ' '.join(pars)
nbc = len(parnames)
print 'defining the parameters ...'
define(nbq, nvar, nbp, nbc, parnames)
set_start(nbp, str([start, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]))
set_target(nbp, str([target, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]))
from phcpy.phcpy2c2 import py2c_sweep_quaddobl_real_run as run
run()
result = loadsols()
return result
def quaddobl_complex_sweep(pols, sols, nvar, pars, start, target):
r"""
For the polynomials in the list of strings *pols*
and the solutions in *sols* for the values in the list *start*,
a sweep through the parameter space will be performed
in quad double precision to the target values of
the parameters in the list *target*.
The number of variables in the polynomials and the solutions
must be the same and be equal to the value of *nvar*.
The list of symbols in *pars* contains the names of the variables
in the polynomials *pols* that serve as parameters.
The size of the lists *pars*, *start*, and *target* must be same.
"""
from phcpy.interface import store_quaddobl_solutions as storesols
from phcpy.interface import store_quaddobl_system as storesys
storesys(pols, nbvar=nvar)
storesols(nvar, sols)
from phcpy.interface import load_quaddobl_solutions as loadsols
from phcpy.phcpy2c2 \
import py2c_sweep_define_parameters_symbolically as define
from phcpy.phcpy2c2 \
import py2c_sweep_set_quaddobl_start as set_start
from phcpy.phcpy2c2 \
import py2c_sweep_set_quaddobl_target as set_target
from phcpy.phcpy2c2 import py2c_sweep_quaddobl_complex_run as run
(nbq, nbp) = (len(pols), len(pars))
parnames = ' '.join(pars)
nbc = len(parnames)
define(nbq, nvar, nbp, nbc, parnames)
print 'setting the start and the target ...'
set_start(nbp, str(start))
set_target(nbp, str(target))
print 'calling run in quad double precision ...'
run(0, 0.0, 0.0)
result = loadsols()
return result
def quaddobl_complex_sweep(pols, sols, nvar, pars, start, target):
r"""
For the polynomials in the list of strings *pols*
and the solutions in *sols* for the values in the list *start*,
a sweep through the parameter space will be performed
in quad double precision to the target values of
the parameters in the list *target*.
The number of variables in the polynomials and the solutions
must be the same and be equal to the value of *nvar*.
The list of symbols in *pars* contains the names of the variables
in the polynomials *pols* that serve as parameters.
The size of the lists *pars*, *start*, and *target* must be same.
"""
from phcpy.interface import store_quaddobl_solutions as storesols
from phcpy.interface import store_quaddobl_system as storesys
storesys(pols, nbvar=nvar)
storesols(nvar, sols)
from phcpy.interface import load_quaddobl_solutions as loadsols
from phcpy.phcpy2c2 \
import py2c_sweep_define_parameters_symbolically as define
from phcpy.phcpy2c2 \
import py2c_sweep_set_quaddobl_start as set_start
from phcpy.phcpy2c2 \
import py2c_sweep_set_quaddobl_target as set_target
from phcpy.phcpy2c2 import py2c_sweep_quaddobl_complex_run as run
(nbq, nbp) = (len(pols), len(pars))
parnames = ' '.join(pars)
nbc = len(parnames)
define(nbq, nvar, nbp, nbc, parnames)
print 'setting the start and the target ...'
set_start(nbp, str(start))
set_target(nbp, str(target))
print 'calling run in quad double precision ...'
run(0, 0.0, 0.0)
result = loadsols()
return result