I'd like to be able to do linear programming to arbitrary precision.  The 
documentation that I've found claims that both the glpk  and PPL solvers 
should do this, but I haven't been able to get either to work.

As an example, the following code prints c to high precision, but the 
solutions only to 12 digits.  Where should I look for guidance?
Note: this seeks to maximize x+y given that 3x<=1 and 3y<=1, so the 
solution is (1/3, 1/3)

Mike M

R=RealField(100)
c=Matrix(R, 2, 1, [-1, -1])
G=Matrix(R, 2, 2, [3, 0, 0, 3])
h=Matrix(R, 2, 1, [1, 1])
print c  # To check the precision being used by "print"
print

sol=linear_program(c,G,h)
print sol['x']
sol=linear_program(c,G,h, solver='glpk')
print sol['x']
sol=linear_program(c,G,h, solver='PPL')
print sol['x']

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