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import polymatrix
from sumofsquares.sosexprbase.impl import ParamSOSExprBaseImpl, SOSExprBaseImpl
from sumofsquares.sosexprbase.mixins.parametermixin import ParameterMixin
def init_sos_expr_base(
expr: polymatrix.Expression,
variables: polymatrix.Expression,
dependence: tuple[ParameterMixin] | None = None,
):
if not isinstance(expr, polymatrix.Expression):
expr = polymatrix.from_(expr)
# if variables is None:
# variables = polymatrix.from_(1)
if dependence is None:
dependence = tuple()
return SOSExprBaseImpl(
expr=expr,
variables=variables,
dependence=dependence,
)
def init_param_sos_expr_base(
name: str,
variables: polymatrix.Expression,
monom: polymatrix.Expression | None = None,
n_row: int | None = None,
n_col: int | None = None,
):
if monom is None:
monom = polymatrix.from_(1)
if n_row == None:
n_row = 1
if n_col == None:
n_col = 1
if n_row == 1 and n_col == 1:
param = monom.parametrize(f'{name}')
param_matrix = param.T
else:
param = monom.rep_mat(n_col * n_row, 1).parametrize(f'{name}')
param_matrix = param.reshape(monom, -1).T
# params = tuple(monom.parametrize(f'{name}_{row+1}_{col+1}') for col in range(n_col) for row in range(n_row))
# param = polymatrix.v_stack(params)
# param_matrix = polymatrix.v_stack(tuple(param.T for param in params))
return ParamSOSExprBaseImpl(
name=name,
param=param,
monom=monom,
variables=variables,
param_matrix=param_matrix,
n_row=n_row,
)
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