import clarabel;
import numpy as np;
from scipy import sparse;
P = sparse.csc_matrix([[0., 0.], [0., 2.]]);
P = P.tocsc();
q = np.array([0.,0.]);
A = sparse.csc_matrix( \
[[ 0., 0.],
[-2., 0.],
[ 0., -1.]]);
b = np.array([1.,-2.,-2.]);
cones = [clarabel.SecondOrderConeT(3)]
settings = clarabel.DefaultSettings();
settings.max_iter = 15;
settings.verbose = True;
solver = clarabel.DefaultSolver(P,q,A,b,cones,settings);
solution = solver.solve()
print(
f"Solver terminated with status: {solution.status}, objective {solution.obj_val},\n"
f"and solution: {dict(s=solution.s, x=solution.x, z=solution.z)}"
)