/// <summary>
/// if x = y, then y = x
/// </summary>
/// <param name="currentEq"></param>
/// <param name="rootEq"></param>
/// <returns></returns>
public static Equation ApplySymmetric(this Equation currentEq, Equation rootEq)
{
Equation localEq = currentEq;
object lhs = currentEq.Lhs;
object rhs = currentEq.Rhs;
if (SatisfySymmetricCondition(lhs, rhs))
{
var cloneEq = currentEq.Clone();
object tempObj = cloneEq.Lhs;
cloneEq.Lhs = cloneEq.Rhs;
cloneEq.Rhs = tempObj;
string rule = EquationsRule.Rule(EquationsRule.EquationRuleType.Symmetric);
string appliedRule = EquationsRule.Rule(
EquationsRule.EquationRuleType.Symmetric,
localEq, null);
string KC = EquationsRule.RuleConcept(EquationsRule.EquationRuleType.Symmetric);
var ts = new TraceStep(localEq, cloneEq, KC, rule, appliedRule);
rootEq._innerLoop.Add(ts);
localEq = cloneEq;
}
return(localEq);
}
public static object ApplyTransitive2(this Equation currentEq,
Equation rootEq, bool withEqRule, bool lineCheck = false)
{
Equation localEq = currentEq;
object lhs = currentEq.Lhs;
object rhs = currentEq.Rhs;
if (!withEqRule)
{
return(localEq);
}
//Divide Transform
object newLhs, newRhs;
if (SatisfyTransitiveCondition5(lhs, rhs, out newLhs, out newRhs))
{
var cloneEq = currentEq.Clone();
var newEq = new Equation(newLhs, newRhs);
string rule = EquationsRule.Rule(EquationsRule.EquationRuleType.Transitive);
string appliedRule = EquationsRule.Rule(
EquationsRule.EquationRuleType.Transitive,
localEq, newEq);
string KC = EquationsRule.RuleConcept(EquationsRule.EquationRuleType.Transitive);
var traceStep = new TraceStep(localEq, newEq, KC, rule, appliedRule);
rootEq._innerLoop.Add(traceStep);
localEq = newEq;
return(localEq);
}
return(localEq);
}
public Equation Generate(Equation currentEq, object source, object target, bool isLhs)
{
Equation cloneEq = currentEq.Clone();
if (isLhs)
{
if (!source.Equals(cloneEq.Lhs))
{
//throw new Exception("Equation.Trace.cs 1: Must be equal.");
}
cloneEq.Lhs = target;
}
else
{
if (!source.Equals(cloneEq.Rhs))
{
//throw new Exception("Equation.Trace.cs 2: Must be equal.");
}
cloneEq.Rhs = target;
}
return cloneEq;
}
public Equation Generate(Equation currentEq, object source, object target, bool isLhs)
{
Equation cloneEq = currentEq.Clone();
if (isLhs)
{
if (!source.Equals(cloneEq.Lhs))
{
//throw new Exception("Equation.Trace.cs 1: Must be equal.");
}
cloneEq.Lhs = target;
}
else
{
if (!source.Equals(cloneEq.Rhs))
{
//throw new Exception("Equation.Trace.cs 2: Must be equal.");
}
cloneEq.Rhs = target;
}
return(cloneEq);
}
/// <summary>
/// if x = y and y = z, then x = z
/// if x = y, then x + a = y + a
/// if x^2 = y^2, then x = y
/// if x = y, then ax = ay
/// ax = ay -> x=y
/// </summary>
/// <param name="goal"></param>
/// <param name="gGoal"></param>
/// <returns></returns>
public static object ApplyTransitive(this Equation currentEq, Equation rootEq, bool withEqRule,
bool lineCheck = false)
{
Equation localEq = currentEq;
object lhs = currentEq.Lhs;
object rhs = currentEq.Rhs;
if (!withEqRule)
{
return(localEq);
}
//Power Inverse
if (SatisfyTransitiveCondition2(lhs, rhs))
{
#region Condition2
var cloneEq = currentEq.Clone();
var cloneEq2 = currentEq.Clone();
var lhsTerm = cloneEq.Lhs as Term;
Debug.Assert(lhsTerm != null);
var cloneLst = lhsTerm.Args as List <object>;
Debug.Assert(cloneLst != null);
cloneEq.Lhs = cloneLst[0];
cloneEq.Rhs = new Term(Expression.Power, new List <object>()
{
cloneEq.Rhs, 0.5
});
var lhsTerm2 = cloneEq2.Lhs as Term;
Debug.Assert(lhsTerm2 != null);
var cloneLst2 = lhsTerm2.Args as List <object>;
Debug.Assert(cloneLst2 != null);
cloneEq2.Lhs = cloneLst2[0];
var internal1 = new Term(Expression.Power, new List <object>()
{
cloneEq2.Rhs, 0.5
});
cloneEq2.Rhs = new Term(Expression.Multiply, new List <object>()
{
-1, internal1
});
string rule = EquationsRule.Rule(EquationsRule.EquationRuleType.Transitive);
string appliedRule = EquationsRule.Rule(
EquationsRule.EquationRuleType.Transitive,
localEq, null);
string KC = EquationsRule.RuleConcept(EquationsRule.EquationRuleType.Transitive);
var ts = new TraceStep(localEq, cloneEq, KC, rule, appliedRule);
rootEq._innerLoop.Add(ts);
//localEq = cloneEq;
var lst = new List <Equation>();
lst.Add(cloneEq);
lst.Add(cloneEq2);
return(lst);
#endregion
}
if (!lineCheck)
{
//Add Inverse
if (SatifyTransitiveCondition0(lhs, rhs))
{
#region condition0
var cloneEq = currentEq.Clone();
var rhsTerm = new Term(Expression.Add, new List <object>()
{
cloneEq.Rhs
});
var lhsTerm = cloneEq.Lhs as Term;
Debug.Assert(lhsTerm != null);
var lst = lhsTerm.Args as List <object>;
Debug.Assert(lst != null);
for (int i = 0; i < lst.Count; i++)
{
var temp = lst[i];
bool isNumber = LogicSharp.IsNumeric(temp);
if (isNumber)
{
var inverseRhs = new Term(Expression.Multiply, new List <object>()
{
-1, temp
});
lst.Remove(temp);
var rhsArgLst = rhsTerm.Args as List <object>;
Debug.Assert(rhsArgLst != null);
rhsArgLst.Add(inverseRhs);
break;
}
var term = temp as Term;
if (term != null && !term.ContainsVar())
{
var inverseRhs = new Term(Expression.Multiply, new List <object>()
{
-1, temp
});
lst.Remove(i);
var rhsArgLst = rhsTerm.Args as List <object>;
Debug.Assert(rhsArgLst != null);
rhsArgLst.Add(inverseRhs);
break;
}
}
cloneEq.Rhs = rhsTerm;
if (lst.Count == 1)
{
cloneEq.Lhs = lst[0];
}
string rule = EquationsRule.Rule(EquationsRule.EquationRuleType.Transitive);
string appliedRule = EquationsRule.Rule(
EquationsRule.EquationRuleType.Transitive,
localEq, null);
string KC = EquationsRule.RuleConcept(EquationsRule.EquationRuleType.Transitive);
var traceStep = new TraceStep(localEq, cloneEq, KC, rule, appliedRule);
rootEq._innerLoop.Add(traceStep);
localEq = cloneEq;
return(localEq);
#endregion
}
}
else
{
if (SatisfyTransitiveCondition1(lhs, rhs))
{
#region Condition1
var cloneEq = currentEq.Clone();
var inverseRhs = new Term(Expression.Multiply, new List <object>()
{
-1, rhs
});
var lhsTerm = cloneEq.Lhs as Term;
if (lhsTerm != null)
{
var cloneLst = lhsTerm.Args as List <object>;
Debug.Assert(cloneLst != null);
if (lhsTerm.Op.Method.Name.Equals("Add"))
{
cloneLst.Add(inverseRhs);
}
else
{
cloneEq.Lhs = new Term(Expression.Add, new List <object>()
{
lhs, inverseRhs
});
}
}
else
{
cloneEq.Lhs = new Term(Expression.Add, new List <object>()
{
lhs, inverseRhs
});
}
cloneEq.Rhs = 0;
string rule = EquationsRule.Rule(EquationsRule.EquationRuleType.Transitive);
string appliedRule = EquationsRule.Rule(
EquationsRule.EquationRuleType.Transitive,
localEq, null);
string KC = EquationsRule.RuleConcept(EquationsRule.EquationRuleType.Transitive);
var traceStep = new TraceStep(localEq, cloneEq, KC, rule, appliedRule);
rootEq._innerLoop.Add(traceStep);
localEq = cloneEq;
#endregion
}
}
//Mutliply Inverse
if (SatisfyTransitiveCondition3(lhs, rhs))
{
#region condition3
var cloneEq = currentEq.Clone();
var rhsTerm = new Term(Expression.Multiply, new List <object>()
{
cloneEq.Rhs
});
var lhsTerm = cloneEq.Lhs as Term;
Debug.Assert(lhsTerm != null);
var lst = lhsTerm.Args as List <object>;
Debug.Assert(lst != null);
for (int i = 0; i < lst.Count; i++)
{
var temp = lst[i];
bool isNumber = LogicSharp.IsNumeric(temp);
if (isNumber)
{
var inverseRhs = new Term(Expression.Divide, new List <object>()
{
1, temp
});
lst.Remove(temp);
var rhsArgLst = rhsTerm.Args as List <object>;
Debug.Assert(rhsArgLst != null);
rhsArgLst.Add(inverseRhs);
break;
}
var term = temp as Term;
if (term != null && !term.ContainsVar())
{
var inverseRhs = new Term(Expression.Divide, new List <object>()
{
1, temp
});
lst.Remove(i);
var rhsArgLst = rhsTerm.Args as List <object>;
Debug.Assert(rhsArgLst != null);
rhsArgLst.Add(inverseRhs);
break;
}
}
cloneEq.Rhs = rhsTerm;
if (lst.Count == 1)
{
cloneEq.Lhs = lst[0];
}
string rule = EquationsRule.Rule(EquationsRule.EquationRuleType.Transitive);
string appliedRule = EquationsRule.Rule(
EquationsRule.EquationRuleType.Transitive,
localEq, null);
string KC = EquationsRule.RuleConcept(EquationsRule.EquationRuleType.Transitive);
var traceStep = new TraceStep(localEq, cloneEq, KC, rule, appliedRule);
rootEq._innerLoop.Add(traceStep);
localEq = cloneEq;
return(localEq);
#endregion
}
//Divide Inverse
if (SatisfyTransitiveCondition4(lhs, rhs))
{
#region condition4
var cloneEq = currentEq.Clone();
var lhsTerm = cloneEq.Lhs as Term;
Debug.Assert(lhsTerm != null);
var lst = lhsTerm.Args as List <object>;
Debug.Assert(lst != null);
Debug.Assert(lst.Count == 2);
bool numerator = LogicSharp.IsNumeric(lst[0]);
bool deNumerator = LogicSharp.IsNumeric(lst[1]);
if (deNumerator)
{
var rhsTerm = new Term(Expression.Multiply, new List <object>()
{
lst[1], cloneEq.Rhs
});
var newEq = new Equation(lst[0], rhsTerm);
string rule = EquationsRule.Rule(EquationsRule.EquationRuleType.Transitive);
string appliedRule = EquationsRule.Rule(
EquationsRule.EquationRuleType.Transitive,
localEq, newEq);
string KC = EquationsRule.RuleConcept(EquationsRule.EquationRuleType.Transitive);
var traceStep = new TraceStep(localEq, newEq, KC, rule, appliedRule);
rootEq._innerLoop.Add(traceStep);
localEq = newEq;
return(localEq);
}
if (numerator)
{
var rhsTerm = new Term(Expression.Divide, new List <object>()
{
lst[0], cloneEq.Rhs
});
var newEq = new Equation(lst[1], rhsTerm);
string rule = EquationsRule.Rule(EquationsRule.EquationRuleType.Transitive);
string appliedRule = EquationsRule.Rule(
EquationsRule.EquationRuleType.Transitive,
localEq, newEq);
string KC = EquationsRule.RuleConcept(EquationsRule.EquationRuleType.Transitive);
var traceStep = new TraceStep(localEq, newEq, KC, rule, appliedRule);
rootEq._innerLoop.Add(traceStep);
localEq = newEq;
return(localEq);
}
#endregion
}
return(localEq);
}
