#!/bin/env python
# Test problem on a dot product between matrices of scalars and/or of
# variables. Note that the problem cannot be solved by the Optimizer
# as it is nonconvex.
from __future__ import print_function
import xpress as xp
import numpy as np
a = 0.1 + np. arange(21). reshape(3,7)
y = np.array([xp.var() for i in range(21)]).reshape(3,7)
x = np.array([xp.var() for i in range(35)]).reshape(7,5)
p = xp.problem ()
p.addVariable (x, y)
p.addConstraint (xp.Dot (y,x) <= 0)
p.addConstraint (xp.Dot (a,x) == 1)
p.setObjective (x[0][0])
p.write ("test6-nonconv", "lp")
p.solve ()
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