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share/contrib/plsquares.dem

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"DEMO FILE FOR PLSQUARES v1.1"$

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load("plsquares")$

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"A simple example of multivariable linear adjustment:"$

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plsquares(matrix([1,2,0],[3,5,4],[4,7,9],[5,8,10]),[x,y,z],z);

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"The same example without degree restrictions:"$

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plsquares(matrix([1,2,0],[3,5,4],[4,7,9],[5,8,10]),[x,y,z],z,1,0);

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"How many diagonals does a N-sides polygon have? What polynomial degree should be used?"$

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plsquares(matrix([3,0],[4,2],[5,5],[6,9],[7,14],[8,20]),[N,diagonals],diagonals,5);

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ev(%, N=9);   /* Testing for a 9 sides polygon */

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"How many ways do we have to put two queens without they are threatened into a n x n chessboard?"$

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plsquares(matrix([0,0],[1,0],[2,0],[3,8],[4,44]),[n,positions],[positions],4);

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ev(%[1], n=8);   /* Testing for a normal (8 x 8) chessboard */

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"An example with six dependent variables:"$

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MTRX:matrix([0,0,0,0,0,1,1,1],[0,1,0,1,1,1,0,0],[1,0,0,1,1,1,0,0],[1,1,1,1,0,0,0,1]);

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plsquares(MTRX,[a,b,_And,_Or,_Xor,_Nand,_Nor,_Nxor],[_And,_Or,_Xor,_Nand,_Nor,_Nxor],1,0);

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"END OF THE DEMO"$

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