Louis Wasserman schrieb:
Yo,

Man, I'd never used FFI before, but it's really not as scary as I'd feared.

I've implemented a more comprehensive interface to GLPK's simplex solver and -- rather importantly, for my own needs -- its MIP solver. This doesn't depend on hmatrix, and in fact, it doesn't require any matrix or vector manipulation at all -- linear functions are specified as a straight-up Data.Map from an arbitrary variable type to their coefficients.

The library is now available as glpk-hs on hackage.

Example:

import Data.LinearProgram.LPMonad
import Data.LinearProgram
import Data.LinearProgram.GLPK

objFun :: LinFunc String Int
objFun = linCombination [(10, "x1"), (6, "x2"), (4, "x3")]

lp :: LP String Int
lp = execLPM $ do    setDirection Max
            setObjective objFun
            leqTo (varSum ["x1", "x2", "x3"]) 100
            leqTo (10 *^ var "x1" ^+^ 4 *& "x2" ^+^ 5 *^ var "x3") 600
-- c *^ var v, c *& v, and linCombination [(c, v)] are all equivalent.
-- ^+^ is the addition operation on linear functions.
            leqTo (linCombination [(2, "x1"), (2, "x2"), (6, "x3")]) 300
            varGeq "x1" 0
            varBds "x2" 0 50
            varGeq "x3" 0
            setVarKind "x1" IntVar
            setVarKind "x2" ContVar
Using strings for variable names you cannot check for undefined variables. How about adding a function for generating new variables to your LP monad?
The example may then look like

do
  setDirection Max
  setObjective objFun
  x1 <- newVariable
  x2 <- newVariable
  x3 <- newVariable
  leqTo (varSum [x1,x2,x3]) 100
  ...


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