diff --git a/Factor.hs b/Factor.hs new file mode 100644 --- /dev/null +++ b/Factor.hs @@ -0,0 +1,32 @@ +-- | attempt factorization of integer. +-- | run like this: ./test/Factor 1000000000001 +-- (takes 10 .. 20 seconds depending on your CPU) + +import Prelude hiding ( not ) + +import Satchmo.Binary.Op.Fixed +import qualified Satchmo.Binary.Op.Flexible +import Satchmo.Solver.Minisat +import Satchmo.Boolean +import Satchmo.Code + +import System.Environment + +main :: IO () +main = do + [ n ] <- getArgs + res <- solve $ do + x <- Satchmo.Binary.Op.Flexible.constant $ read n + a <- number $ width x + notone a + b <- number $ width x + notone b + ab <- times a b + monadic assert [ equals ab x ] + return $ decode [ a, b ] + print res + +notone f = do + one <- Satchmo.Binary.Op.Flexible.constant 1 + e <- equals f one + assert [ not e ] diff --git a/HC.hs b/HC.hs new file mode 100644 --- /dev/null +++ b/HC.hs @@ -0,0 +1,77 @@ +{-# language ScopedTypeVariables #-} + +import Prelude hiding ( not ) +import qualified Prelude + +import Satchmo.Relation +import Satchmo.Code +import Satchmo.Boolean +import Satchmo.Counting + +import Satchmo.Solver.Minisat + +import Data.List (sort) +import qualified Data.Array as A +import Control.Monad ( guard, when ) +import System.Environment + +-- | command line arguments: m n +-- compute knight's tour on m x n chess board + +main :: IO () +main = do + argv <- getArgs + let [ m, n ] = map read argv + Just a <- solve $ tour m n + putStrLn $ unlines $ do + let ((u,l),(o,r)) = A.bounds a + x <- [u .. o] + return $ unwords $ do + y <- [ l ..r ] + return $ fill 4 $ show $ a A.! (x,y) + +fill k cs = replicate (k - length cs) ' ' ++ cs + +tour m n = do + let s = m * n + p :: Relation Int (Int,Int) <- bijection ((1,(1,1)), (s,(m,n))) + sequence_ $ do + (i,j) <- zip [1..s] $ rotate 1 [1..s] + a <- A.range ((1,1),(m,n)) + return $ do + assert $ not ( p!(i,a)) : do + b <- A.range ((1,1),(m,n)) + guard $ reaches a b + return $ p ! (j,b) + assert $ not ( p!(j,a)) : do + b <- A.range ((1,1),(m,n)) + guard $ reaches a b + return $ p ! (i,b) + return $ do + a <- decode p + return $ A.array ((1,1),(m,n)) $ do + ((i,p),True) <- A.assocs a + return (p,i) + +bijection :: (A.Ix a, A.Ix b) + => ((a,b),(a,b)) + -> SAT ( Relation a b ) +bijection bnd = do + let ((u,l),(o,r)) = bnd + a <- relation bnd + sequence_ $ do + x <- A.range (u,o) + return $ monadic assert $ return $ exactly 1 $ do y <- A.range (l,r) ; return $ a!(x,y) + sequence_ $ do + y <- A.range (l,r) + return $ monadic assert $ return $ exactly 1 $ do x <- A.range (u,o) ; return $ a!(x,y) + return a + +reaches (px,py) (qx,qy) = + 5 == (px - qx)^2 + (py - qy)^2 + +rotate :: Int -> [a] -> [a] +rotate k xs = + let ( pre, post ) = splitAt k xs + in post ++ pre + diff --git a/Setup.hs b/Setup.hs new file mode 100644 --- /dev/null +++ b/Setup.hs @@ -0,0 +1,2 @@ +import Distribution.Simple +main = defaultMain diff --git a/VC.hs b/VC.hs new file mode 100644 --- /dev/null +++ b/VC.hs @@ -0,0 +1,42 @@ +import Prelude hiding ( not ) + +import Satchmo.Relation +import Satchmo.Code +import Satchmo.Boolean +import Satchmo.Counting + +-- import Satchmo.Solver.Minisat +import Satchmo.Solver.Funsat + +import Control.Monad ( guard ) +import System.Environment +import System.Timeout + +-- | command line arguments: n s +-- compute vertex cover of size <= s for knight's graph on n x n chess board. +-- example: VC 8 12 + +main :: IO () +main = do + argv <- getArgs + let [ n, s ] = map read argv + Just a <- solve $ knight n s + putStrLn $ table a + +knight n s = do + a <- relation ((1,1),(n,n)) + m <- atmost s $ do + i <- indices a ; return $ a ! i + assert [m] + sequence_ $ do + p <- indices a + return $ assert $ do + q <- indices a + guard $ p == q || reaches p q + return $ a!q + return $ decode a + +reaches (px,py) (qx,qy) = + 5 == (px - qx)^2 + (py - qy)^2 + + diff --git a/gpl-2.0.txt b/gpl-2.0.txt new file mode 100644 --- /dev/null +++ b/gpl-2.0.txt @@ -0,0 +1,339 @@ + GNU GENERAL PUBLIC LICENSE + Version 2, June 1991 + + Copyright (C) 1989, 1991 Free Software Foundation, Inc., + 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + Preamble + + The licenses for most software are designed to take away your +freedom to share and change it. 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If this is what you want to do, use the GNU Lesser General +Public License instead of this License. diff --git a/satchmo-examples.cabal b/satchmo-examples.cabal new file mode 100644 --- /dev/null +++ b/satchmo-examples.cabal @@ -0,0 +1,31 @@ +Name: satchmo-examples +Version: 1.3 + +License: GPL +License-file: gpl-2.0.txt +Author: Johannes Waldmann +Maintainer: Johannes Waldmann +Homepage: http://dfa.imn.htwk-leipzig.de/satchmo/ +Synopsis: examples that show how to use satchmo +description: examples that show how to use satchmo +Cabal-version: >= 1.2 +Build-type: Simple + +Executable Factor + Main-is: Factor.hs + hs-source-dirs: . + Build-depends: satchmo, satchmo-minisat, process, base, containers, array + +Executable HC + Main-is: HC.hs + hs-source-dirs: . + Build-depends: satchmo, satchmo-minisat, process, base, containers, array + +Executable VC + Main-is: VC.hs + hs-source-dirs: . + Build-depends: satchmo, satchmo-funsat, process, base, containers, array + + + +