##
#  Copyright : Copyright (c) MOSEK ApS, Denmark. All rights reserved.
#
#  File :      milo1.py
#
#  Purpose :   Demonstrates how to solve a small mixed
#              integer linear optimization problem using the MOSEK Python API.
##
import sys
import mosek

# Since the actual value of Infinity is ignores, we define it solely
# for symbolic purposes:
inf = 0.0

# Define a stream printer to grab output from MOSEK
def streamprinter(text):
    sys.stdout.write(text)
    sys.stdout.flush()


def main():
    # Create a task
    with mosek.Task() as task:
        # Attach a printer to the task
        task.set_Stream(mosek.streamtype.log, streamprinter)

        bkc = [mosek.boundkey.up, mosek.boundkey.lo]
        blc = [-inf, -4.0]
        buc = [250.0, inf]

        bkx = [mosek.boundkey.lo, mosek.boundkey.lo]
        blx = [0.0, 0.0]
        bux = [inf, inf]

        c = [1.0, 0.64]

        asub = [[0, 1], [0, 1]]
        aval = [[50.0, 3.0], [31.0, -2.0]]

        numvar = len(bkx)
        numcon = len(bkc)

        # Append 'numcon' empty constraints.
        # The constraints will initially have no bounds.
        task.appendcons(numcon)

        #Append 'numvar' variables.
        # The variables will initially be fixed at zero (x=0).
        task.appendvars(numvar)

        for j in range(numvar):
            # Set the linear term c_j in the objective.
            task.putcj(j, c[j])
            # Set the bounds on variable j
            # blx[j] <= x_j <= bux[j]
            task.putvarbound(j, bkx[j], blx[j], bux[j])
            # Input column j of A
            task.putacol(j,                  # Variable (column) index.
                         # Row index of non-zeros in column j.
                         asub[j],
                         aval[j])            # Non-zero Values of column j.

        task.putconboundlist(range(numcon), bkc, blc, buc)

        # Input the objective sense (minimize/maximize)
        task.putobjsense(mosek.objsense.maximize)

        # Define variables to be integers
        task.putvartypelist([0, 1],
                            [mosek.variabletype.type_int,
                             mosek.variabletype.type_int])

        # Set max solution time
        task.putdouparam(mosek.dparam.mio_max_time, 60.0);

        # Optimize the task
        task.optimize()
        task.writedata("milo1.ptf")

        # Print a summary containing information
        # about the solution for debugging purposes
        task.solutionsummary(mosek.streamtype.msg)

        prosta = task.getprosta(mosek.soltype.itg)
        solsta = task.getsolsta(mosek.soltype.itg)

        # Output a solution         
        xx = task.getxx(mosek.soltype.itg)

        if solsta in [mosek.solsta.integer_optimal]:
            print("Optimal solution: %s" % xx)
        elif solsta == mosek.solsta.prim_feas:
            print("Feasible solution: %s" % xx)
        elif mosek.solsta.unknown:
            if prosta == mosek.prosta.prim_infeas_or_unbounded:
                print("Problem status Infeasible or unbounded.\n")
            elif prosta == mosek.prosta.prim_infeas:
                print("Problem status Infeasible.\n")
            elif prosta == mosek.prosta.unkown:
                print("Problem status unkown.\n")
            else:
                print("Other problem status.\n")
        else:
            print("Other solution status")


# call the main function
try:
    main()
except mosek.MosekException as msg:
    #print "ERROR: %s" % str(code)
    if msg is not None:
        print("\t%s" % msg)
        sys.exit(1)
except:
    import traceback
    traceback.print_exc()
    sys.exit(1)