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Annotation of OpenXM_contrib/PHC/Ada/Math_Lib/Supports/floating_linear_inequalities.ads, Revision 1.1

1.1     ! maekawa     1: with Standard_Floating_Numbers;          use Standard_Floating_Numbers;
        !             2: with Standard_Integer_Vectors;           use Standard_Integer_Vectors;
        !             3: with Standard_Floating_Vectors;          use Standard_Floating_Vectors;
        !             4: with Standard_Floating_Matrices;         use Standard_Floating_Matrices;
        !             5:
        !             6: package Floating_Linear_Inequalities is
        !             7:
        !             8: -- DESCRIPTION :
        !             9: --   This procedure contains some routines for verifying the Farkas lemma.
        !            10:
        !            11:   procedure Complementary_Slackness
        !            12:                  ( tableau : in out Matrix; lastcol : in integer;
        !            13:                    rhs : in out Standard_Floating_Vectors.Vector;
        !            14:                    tol : in double_float;
        !            15:                    solution : out Standard_Floating_Vectors.Vector;
        !            16:                    columns : out Standard_Integer_Vectors.Vector;
        !            17:                    feasible : out boolean );
        !            18:
        !            19:   procedure Complementary_Slackness
        !            20:                  ( tableau : in out Matrix;
        !            21:                    rhs : in out Standard_Floating_Vectors.Vector;
        !            22:                    tol : in double_float;
        !            23:                    solution : out Standard_Floating_Vectors.Vector;
        !            24:                    columns : out Standard_Integer_Vectors.Vector;
        !            25:                    feasible : out boolean );
        !            26:
        !            27:   -- DESCRIPTION :
        !            28:   --   Solves the complementary slackness problem: determines
        !            29:   --   whether there exists a positive combination of the columns
        !            30:   --   such that the right hand side is satisfied.
        !            31:
        !            32:   -- REQUIRED :
        !            33:   --   rhs'range = solution'range = columns'range = tableau'range(1)
        !            34:
        !            35:   -- ON ENTRY :
        !            36:   --   tableau     inequalities as columns;
        !            37:   --   lastcol     indicates the last significant column in the tableau,
        !            38:   --                if not given, then lastcol = tableau'last(2);
        !            39:   --   tol         tolerance to decide whether a number equals zero.
        !            40:   --   rhs         right hand side vector;
        !            41:
        !            42:   -- ON RETURN :
        !            43:   --   tableau     modified tableau of inequalities;
        !            44:   --   rhs         modified right hand side;
        !            45:   --   solution    the computed solution;
        !            46:   --   columns     indicates which columns has been used;
        !            47:   --   feasible    if true then the solution is feasible.
        !            48:
        !            49: end Floating_Linear_Inequalities;

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