def random_linear_product_system(pols, tosolve=True):
"""
Given in pols a list of string representations of polynomials,
returns a random linear-product system based on a supporting
set structure and its solutions as well (if tosolve).
"""
from phcpy.phcpy2c3 import py2c_product_supporting_set_structure
from phcpy.phcpy2c3 import py2c_product_random_linear_product_system
from phcpy.phcpy2c3 import py2c_product_solve_linear_product_system
from phcpy.interface import store_standard_system, load_standard_system
from phcpy.interface import load_standard_solutions
store_standard_system(pols)
py2c_product_supporting_set_structure()
py2c_product_random_linear_product_system()
result = load_standard_system()
if not tosolve:
return result
py2c_product_solve_linear_product_system()
sols = load_standard_solutions()
return (result, sols)
def random_linear_product_system(pols, tosolve=True):
"""
Given in pols a list of string representations of polynomials,
returns a random linear-product system based on a supporting
set structure and its solutions as well (if tosolve).
"""
from phcpy.phcpy2c3 import py2c_product_supporting_set_structure
from phcpy.phcpy2c3 import py2c_product_random_linear_product_system
from phcpy.phcpy2c3 import py2c_product_solve_linear_product_system
from phcpy.interface import store_standard_system, load_standard_system
from phcpy.interface import load_standard_solutions
store_standard_system(pols)
py2c_product_supporting_set_structure()
py2c_product_random_linear_product_system()
result = load_standard_system()
if not tosolve:
return result
py2c_product_solve_linear_product_system()
sols = load_standard_solutions()
return (result, sols)
def m_homogeneous_start_system(pols, partition):
"""
For an m-homogeneous Bezout number of a polynomial system defined by
a partition of the set of unknowns, one can define a linear-product
system that has exactly as many regular solutions as the Bezount number.
This linear-product system can then be used as start system in a
homotopy to compute all isolated solutions of any polynomial system
with the same m-homogeneous structure.
This function returns a linear-product start system with random
coefficients and its solutions for the given polynomials in pols
and the partition.
"""
from phcpy.phcpy2c3 import py2c_product_m_homogeneous_start_system
from phcpy.phcpy2c3 import py2c_product_solve_linear_product_system
from phcpy.interface import store_standard_system, load_standard_system
from phcpy.interface import load_standard_solutions
store_standard_system(pols)
py2c_product_m_homogeneous_start_system(len(partition), partition)
result = load_standard_system()
py2c_product_solve_linear_product_system()
sols = load_standard_solutions()
return (result, sols)
def m_homogeneous_start_system(pols, partition):
"""
For an m-homogeneous Bezout number of a polynomial system defined by
a partition of the set of unknowns, one can define a linear-product
system that has exactly as many regular solutions as the Bezount number.
This linear-product system can then be used as start system in a
homotopy to compute all isolated solutions of any polynomial system
with the same m-homogeneous structure.
This function returns a linear-product start system with random
coefficients and its solutions for the given polynomials in pols
and the partition.
"""
from phcpy.phcpy2c3 import py2c_product_m_homogeneous_start_system
from phcpy.phcpy2c3 import py2c_product_solve_linear_product_system
from phcpy.interface import store_standard_system, load_standard_system
from phcpy.interface import load_standard_solutions
store_standard_system(pols)
py2c_product_m_homogeneous_start_system(len(partition), partition)
result = load_standard_system()
py2c_product_solve_linear_product_system()
sols = load_standard_solutions()
return (result, sols)
