#!/bin/env python

#
# Use NumPy arrays for creating a 3-dimensional array of variables,
# then use it to create a mode.
#

from __future__ import print_function

import numpy as np
import xpress as xp

S1 = range(2)
S2 = range(3)
S3 = range(4)

m = xp.problem()

h = np.array([[[xp.var(vartype=xp.binary) for i in S1]
               for j in S2] for k in S3])

m.addVariable(h)

m.setObjective(h[0][0][0] * h[0][0][0] +
               h[1][0][0] * h[0][0][0] +
               h[1][0][0] * h[1][0][0] +
               xp.Sum(h[i][j][k]
                      for i in S3 for j in S2 for k in S1))

cons00 = - h[0][0][0] * h[0][0][0] + \
         xp.Sum(i * j * k * h[i][j][k]
                for i in S3 for j in S2 for k in S1) >= 11

m.addConstraint(cons00)

m.solve()

# Get the matrix representation of the quadratic part of the single
# constraint

mstart1 = []
mclind1 = []
dqe1 = []
m.getqrowqmatrix(cons00, mstart1, mclind1, dqe1, 29,
                 h[0][0][0], h[3][2][1])
print("row 0:", mstart1, mclind1, dqe1)