예제 #1
0
        private static ObjectFormulaTree delConst(ObjectFormulaTree tree, ref bool simple)
        {
            IObjectOperation op = tree.Operation;

            if (op is PolySum)
            {
                PolySum ps = op as PolySum;
                return(delConst(ps, ref simple));
            }
            List <ObjectFormulaTree> l = new List <ObjectFormulaTree>();

            for (int i = 0; i < tree.Count; i++)
            {
                l.Add(delConst(tree[i], ref simple));
            }
            if ((op is ElementaryBrackets) | (op is ElementaryRoot) | (op is ElementaryPowerOperation))
            {
                if (l.Count == 2)
                {
                    ObjectFormulaTree t = l[1];
                    if (ElementaryFormulaSimplification.IsConst(t))
                    {
                        double a = (double)t.Result;
                        if (a == 1)
                        {
                            simple = false;
                            return(l[0]);
                        }
                    }
                }
            }
            return(new ObjectFormulaTree(op, l));
        }
예제 #2
0
        static internal ObjectFormulaTree simplify(ObjectFormulaTree tree, out bool simple)
        {
            //bool s = true;
            simple = true;
            List <ObjectFormulaTree> l = new List <ObjectFormulaTree>();

            for (int i = 0; i < tree.Count; i++)
            {
                ObjectFormulaTree t = simplifyRecursive(tree[i]);
                l.Add(t);
            }
            if (!(tree.Operation is PolyMult))
            {
                return(new ObjectFormulaTree(tree.Operation, l));
            }
            List <ObjectFormulaTree> consts = new List <ObjectFormulaTree>();
            List <ObjectFormulaTree> forms  = new List <ObjectFormulaTree>();

            for (int i = 0; i < tree.Count; i++)
            {
                if (ElementaryFormulaSimplification.IsConst(tree[i]))
                {
                    consts.Add(tree[i]);
                    continue;
                }
                forms.Add(tree[i]);
            }
            double a = 1;

            foreach (ObjectFormulaTree t in consts)
            {
                double x = (double)t.Result;
                a *= x;
            }
            if (a == 0)
            {
                ElementaryRealConstant x = new ElementaryRealConstant(0);
                simple = true;
                return(new ObjectFormulaTree(x, new List <ObjectFormulaTree>()));
            }
            if (a == 1)
            {
                PolyMult pm = new PolyMult();
                foreach (ObjectFormulaTree t in forms)
                {
                    pm.add(t);
                }
                if (consts.Count > 0)
                {
                    simple = false;
                }
                return(new ObjectFormulaTree(pm, forms));
            }
            if (consts.Count <= 1)
            {
                PolyMult pm = new PolyMult();
                pm.l = l;
                return(new ObjectFormulaTree(tree.Operation, l));
            }
            simple = false;
            ElementaryRealConstant   xx = new ElementaryRealConstant(a);
            ObjectFormulaTree        yy = new ObjectFormulaTree(xx, new List <ObjectFormulaTree>());
            List <ObjectFormulaTree> ll = new List <ObjectFormulaTree>();

            ll.Add(yy);
            ll.AddRange(forms);
            PolyMult pmm = new PolyMult();

            pmm.l = new List <ObjectFormulaTree>(ll);
            return(new ObjectFormulaTree(pmm, ll));
        }
예제 #3
0
        private static ObjectFormulaTree sumSumInverse(PolySum ps)
        {
            Dictionary <ObjectFormulaTree, bool> d = new Dictionary <ObjectFormulaTree, bool>(ps.summands);
            ObjectFormulaTree first  = null;
            ObjectFormulaTree second = null;
            bool bf = true;

            foreach (ObjectFormulaTree t in d.Keys)
            {
                if (ElementaryFormulaSimplification.IsConst(t))
                {
                    first = t;
                }
            }
            if (first == null)
            {
                if (d.Count > 0)
                {
                    foreach (ObjectFormulaTree t in d.Keys)
                    {
                        first = t;
                        bf    = d[t];
                        break;
                    }
                }
            }
            if (first == null)
            {
                ElementaryRealConstant er = new ElementaryRealConstant(0);
                return(new ObjectFormulaTree(er, new List <ObjectFormulaTree>()));
            }
            d.Remove(first);
            first = sumSumInverse(first);
            if (!bf)
            {
                ElementaryFunctionOperation ef = new ElementaryFunctionOperation('-');
                List <ObjectFormulaTree>    l  = new List <ObjectFormulaTree>();
                l.Add(first);
                first = new ObjectFormulaTree(ef, l);
            }
            if (d.Count == 0)
            {
                return(first);
            }
            ObjectFormulaTree sec = null;

            foreach (ObjectFormulaTree t in d.Keys)
            {
                sec = t;
            }
            bool    kb = d[sec];
            PolySum pp = new PolySum(true);
            Dictionary <ObjectFormulaTree, bool> dd = pp.summands;

            foreach (ObjectFormulaTree t in d.Keys)
            {
                if (PolyMult.IsZero(t))
                {
                    continue;
                }
                bool bl = d[t];
                if (!kb)
                {
                    bl = !bl;
                }
                dd[t] = bl;
            }
            second = sumSumInverse(pp);
            List <ObjectFormulaTree> lr = new List <ObjectFormulaTree>();

            lr.Add(first);
            lr.Add(second);
            char c = kb ? '+' : '-';

            if (PolyMult.IsZero(second))
            {
                return(first);
            }
            Double type = 0;
            ElementaryBinaryOperation eop = new ElementaryBinaryOperation(c, new object[] { type, type });

            return(new ObjectFormulaTree(eop, lr));
        }
예제 #4
0
        private static ObjectFormulaTree delConst(PolySum ps, ref bool simple)
        {
            Dictionary <ObjectFormulaTree, bool> dd  = ps.summands;
            List <ObjectFormulaTree>             del = new List <ObjectFormulaTree>();
            Dictionary <ObjectFormulaTree, bool> d   = new Dictionary <ObjectFormulaTree, bool>();

            foreach (ObjectFormulaTree ttt in dd.Keys)
            {
                ObjectFormulaTree ts = ElementaryFormulaSimplification.Object.Simplify(ttt);
                if (!PolyMult.IsZero(ts))
                {
                    d[ts] = dd[ttt];
                }
            }
            PolySum p = new PolySum(true);
            Dictionary <ObjectFormulaTree, bool> forms = p.summands;
            double a = 0;
            int    i = 0;

            foreach (ObjectFormulaTree t in d.Keys)
            {
                bool b = d[t];
                ObjectFormulaTree tr = delConst(t, ref simple);
                if (PolyMult.IsZero(tr))
                {
                    simple = false;
                    continue;
                }
                if (ElementaryFormulaSimplification.IsConst(tr))
                {
                    double x = (double)tr.Result;
                    a += b ? x : -x;
                    ++i;
                    if (i > 1)
                    {
                        simple = false;
                    }
                }
                else
                {
                    forms[tr] = d[t];
                }
            }
            if (a != 0)
            {
                ElementaryRealConstant ec = new ElementaryRealConstant(a);
                forms[new ObjectFormulaTree(ec, new List <ObjectFormulaTree>())] = true;
            }
            if (forms.Count == 1)
            {
                foreach (ObjectFormulaTree f in forms.Keys)
                {
                    bool b = forms[f];
                    if (b)
                    {
                        return(f);
                    }
                    ElementaryFunctionOperation op  = new ElementaryFunctionOperation('-');
                    List <ObjectFormulaTree>    lop = new List <ObjectFormulaTree>();
                    lop.Add(f);
                    return(new ObjectFormulaTree(op, lop));
                }
            }
            return(new ObjectFormulaTree(p, new List <ObjectFormulaTree>()));
        }