private static bool SatisfyGeneralForm(Equation equation,
out Circle circle)
{
circle = null;
var term = equation.Lhs as Term;
if (term != null && term.Op.Method.Name.Equals("Add"))
{
var lst = term.Args as List <object>;
if (lst != null && lst.Count == 3)
{
bool isNum = LogicSharp.IsNumeric(lst[2]);
if (isNum)
{
double dNum;
LogicSharp.IsDouble(lst[2], out dNum);
dNum *= -1;
object coeffX, coeffY;
bool xTerm1 = IsXSquareTerm(lst[0], out coeffX);
bool yTerm1 = IsYSquareTerm(lst[1], out coeffY);
if (xTerm1 && yTerm1)
{
var pt = new Point(coeffX, coeffY);
circle = new Circle(pt, Math.Pow(dNum, 0.5));
return(true);
}
}
}
}
return(false);
}
public bool AddYCoord(object y)
{
if (LogicSharp.IsNumeric(y))
{
Properties.Add(YCoordinate, y);
return(true);
}
return(false);
}
public bool AddXCoord(object x)
{
if (LogicSharp.IsNumeric(x))
{
Properties.Add(XCoordinate, x);
return(true);
}
return(false);
}
private static bool SatisfySpecialForm(Equation equation, out Circle circle)
{
circle = null;
bool isRhsNum = LogicSharp.IsNumeric(equation.Rhs);
if (!isRhsNum)
{
return(false);
}
double dNum;
LogicSharp.IsDouble(equation.Rhs, out dNum);
var term = equation.Lhs as Term;
if (term == null)
{
return(false);
}
if (!term.Op.Method.Name.Equals("Add"))
{
return(false);
}
var lst = term.Args as List <object>;
if (lst == null || lst.Count != 2)
{
return(false);
}
object coeffX, coeffY;
bool xTerm = IsXSquareTerm(lst[0], out coeffX);
bool yTerm = IsYSquareTerm(lst[1], out coeffY);
if (xTerm && yTerm)
{
var pt = new Point(coeffX, coeffY);
circle = new Circle(pt, Math.Pow(dNum, 0.5));
return(true);
}
xTerm = false;
yTerm = false;
xTerm = IsXSquareTerm(lst[1], out coeffX);
yTerm = IsYSquareTerm(lst[0], out coeffY);
if (xTerm && yTerm)
{
var pt = new Point(coeffX, coeffY);
circle = new Circle(pt, Math.Pow(dNum, 0.5));
return(true);
}
return(false);
}
public bool Reify(EqGoal goal)
{
var line = this.Shape as Line;
Debug.Assert(line != null);
EqGoal tempGoal = goal;
bool cond1 = Var.IsVar(tempGoal.Lhs) && LogicSharp.IsNumeric(tempGoal.Rhs);
bool cond2 = Var.IsVar(tempGoal.Rhs) && LogicSharp.IsNumeric(tempGoal.Lhs);
Debug.Assert(cond1 || cond2);
if (line.Concrete)
{
return(false);
}
object aResult = EvalGoal(line.A, tempGoal);
object bResult = EvalGoal(line.B, tempGoal);
object cResult = EvalGoal(line.C, tempGoal);
//Atomic operation
if (aResult != null && !line.A.Equals(aResult))
{
CacheA(aResult, goal);
RaiseReify(null);
return(true);
}
if (bResult != null && !line.B.Equals(bResult))
{
CacheB(bResult, goal);
RaiseReify(null);
return(true);
}
if (cResult != null && !line.C.Equals(cResult))
{
CacheC(cResult, goal);
RaiseReify(null);
return(true);
}
return(false);
}
private static bool IsYWithConstTerm(object obj, out object coeff)
{
coeff = null;
var term = obj as Term;
if (term == null)
{
return(false);
}
if (term.Op.Method.Name.Equals("Add") ||
term.Op.Method.Name.Equals("Substract"))
{
var lst = term.Args as List <object>;
if (lst == null)
{
return(false);
}
bool isYTerm = IsYTerm(lst[0], out coeff);
if (coeff == null || !coeff.ToString().Equals("1"))
{
return(false);
}
if (!isYTerm)
{
return(false);
}
bool isRhsNum = LogicSharp.IsNumeric(lst[1]);
if (!isRhsNum)
{
return(false);
}
double dNum;
LogicSharp.IsDouble(lst[1], out dNum);
if (term.Op.Method.Name.Equals("Add"))
{
dNum *= -1;
}
coeff = dNum;
return(true);
}
return(false);
}
private static bool SatisfySpecialForm(Equation equation, out Line line)
{
line = null;
bool isRhsNum = LogicSharp.IsNumeric(equation.Rhs);
if (!isRhsNum)
{
return(false);
}
double dNum;
LogicSharp.IsDouble(equation.Rhs, out dNum);
double rhs = -1 * dNum;
object xCoeff;
bool result = IsXTerm(equation.Lhs, out xCoeff);
if (result)
{
line = new Line(null, xCoeff, null, rhs);
return(true);
}
object yCoeff;
result = IsYTerm(equation.Lhs, out yCoeff);
if (result)
{
line = new Line(null, null, yCoeff, rhs);
return(true);
}
result = IsXYTerm(equation.Lhs, out xCoeff, out yCoeff);
if (result)
{
line = new Line(null, xCoeff, yCoeff, rhs);
return(true);
}
return(false);
}
/// <summary>
/// This method quarantees that the substitution term is unique toward each variable.
///
/// dict: {{x:3},{x:4}} is not allowed
/// dict: {{x:3}, {y:4}} is allowed
/// </summary>
/// <param name="point"></param>
/// <param name="dict"></param>
/// <param name="ps"></param>
/// <param name="goal"></param>
/// <returns></returns>
public bool Reify(EqGoal goal)
{
var point = Shape as Point;
Debug.Assert(point != null);
//EqGoal tempGoal = goal.GetLatestDerivedGoal();
EqGoal tempGoal = goal;
bool cond1 = Var.IsVar(tempGoal.Lhs) && LogicSharp.IsNumeric(tempGoal.Rhs);
bool cond2 = Var.IsVar(tempGoal.Rhs) && LogicSharp.IsNumeric(tempGoal.Lhs);
Debug.Assert(cond1 || cond2);
if (point.Concrete)
{
return(false);
}
object xResult = EvalGoal(point.XCoordinate, tempGoal);
object yResult = EvalGoal(point.YCoordinate, tempGoal);
//Atomic operation
if (!point.XCoordinate.Equals(xResult))
{
GenerateXCacheSymbol(xResult, goal);
RaiseReify(null);
return(true);
}
else if (!point.YCoordinate.Equals(yResult))
{
GenerateYCacheSymbol(yResult, goal);
RaiseReify(null);
return(true);
}
else
{
return(false);
}
}
/// <summary>
/// construct a line through two goals
/// e.g m=2, k=3 => conjunctive norm form
/// </summary>
/// <param name="goal1"></param>
/// <param name="goal2"></param>
/// <returns></returns>
public static LineSymbol Unify(EqGoal goal1, EqGoal goal2)
{
var variable1 = goal1.Lhs as Var;
var variable2 = goal2.Lhs as Var;
Debug.Assert(variable1 != null);
Debug.Assert(variable2 != null);
var dict = new Dictionary <string, object>();
string slopeKey = "slope";
string interceptKey = "intercept";
if (LineAcronym.EqualSlopeLabels(variable1.ToString()))
//if (variable1.ToString().Equals(LineAcronym.Slope1))
{
dict.Add(slopeKey, goal1.Rhs);
}
if (LineAcronym.EqualInterceptLabels(variable1.ToString()))
//if (variable1.ToString().Equals(LineAcronym.Intercept1))
{
dict.Add(interceptKey, goal1.Rhs);
}
if (LineAcronym.EqualSlopeLabels(variable2.ToString()))
//if (variable2.ToString().Equals(LineAcronym.Slope1))
{
if (dict.ContainsKey(slopeKey))
{
return(null);
}
dict.Add(slopeKey, goal2.Rhs);
}
if (LineAcronym.EqualInterceptLabels(variable2.ToString()))
//if (variable2.ToString().Equals(LineAcronym.Intercept1))
{
if (dict.ContainsKey(interceptKey))
{
return(null);
}
dict.Add(interceptKey, goal2.Rhs);
}
if (dict.Count == 2 &&
dict[slopeKey] != null &&
dict[interceptKey] != null)
{
if (LogicSharp.IsNumeric(dict[slopeKey]) &&
LogicSharp.IsNumeric(dict[interceptKey]))
{
double dSlope, dIntercept;
LogicSharp.IsDouble(dict[slopeKey], out dSlope);
LogicSharp.IsDouble(dict[interceptKey], out dIntercept);
var line = LineGenerationRule.GenerateLine(dSlope, dIntercept);
var ls = new LineSymbol(line)
{
OutputType = LineType.SlopeIntercept
};
TraceInstructionalDesign.FromSlopeInterceptToLineSlopeIntercept(goal1, goal2, ls);
return(ls);
}
else
{
//lazy evaluation
//Constraint solving on Graph
var line = new Line(null); //ghost line
var ls = new LineSymbol(line);
ls.OutputType = LineType.SlopeIntercept;
return(ls);
}
}
return(null);
}
/// <summary>
/// The purpose of parse string is to re-format the str
/// x, 2x, -2x, ax, -ax,2ax, 3y,34y, y25
/// </summary>
/// <param name="str"></param>
/// <param name="obj"></param>
/// <returns></returns>
public static object TransformString(string str)
{
char[] charArr = str.ToCharArray();
if (charArr.Length == 1)
{
return(new Var(str));
}
bool isNeg = false;
string parseStr;
if (charArr[0].Equals('-'))
{
isNeg = true;
parseStr = str.Substring(1, str.Length - 1);
}
else
{
parseStr = str;
}
//TODO tackle decimal number
string[] strs = Regex.Split(parseStr, "(?<=\\D)(?=\\d)|(?<=\\d)(?=\\D)");
//string[] strs = Regex.Split(parseStr, "(?<=\\D)(?=\\d)|(?<=(\\d+\\.\\d+))(?=\\D)");
var lst = new List <object>();
for (var i = 0; i < strs.Length; i++)
{
if (strs[i].Equals("."))
{
throw new Exception("Cannot be decimal input");
}
if (i == 0)
{
if (LogicSharp.IsNumeric(strs[i]))
{
int iNum;
bool result000 = LogicSharp.IsInt(strs[i], out iNum);
if (result000)
{
iNum = isNeg ? iNum * -1 : iNum;
lst.Add(iNum);
}
else
{
double dNum;
LogicSharp.IsDouble(strs[i], out dNum);
dNum = isNeg ? dNum * -1 : dNum;
lst.Add(dNum);
}
}
else
{
char[] tempArr = strs[i].ToCharArray();
if (isNeg)
{
lst.Add(-1);
}
lst.AddRange(tempArr.Select(c => new Var(c)).Cast <object>());
}
}
else
{
if (LogicSharp.IsNumeric(strs[i]))
{
int iNum;
bool result000 = LogicSharp.IsInt(strs[i], out iNum);
if (result000)
{
lst.Add(iNum);
}
else
{
double dNum;
LogicSharp.IsDouble(strs[i], out dNum);
lst.Add(dNum);
}
}
else
{
char[] tempArr = strs[i].ToCharArray();
lst.AddRange(tempArr.Select(c => new Var(c)).Cast <object>());
}
}
}
if (lst.Count == 1)
{
return(lst[0]);
}
return(new Term(Expression.Multiply, lst));
}
public static object TransformString2(string str)
{
char[] charArr = str.ToCharArray();
if (charArr.Length == 1)
{
return(new Var(str));
}
bool isNeg = charArr[0].Equals('-');
var lst = new List <object>();
int j = -1;
for (int i = charArr.Count() - 1; i >= 0; i--)
{
if (Char.IsLetter(charArr[i]))
{
lst.Insert(0, new Var(charArr[i]));
}
else
{
j = i;
break;
}
}
if (isNeg)
{
if (j == 0)
{
var term1 = new Term(Expression.Multiply, new List <object>()
{
-1, lst[0]
});
lst[0] = term1;
if (lst.Count == 1)
{
return(lst[0]);
}
return(new Term(Expression.Multiply, lst));
}
var subStr = str.Substring(1, j);
bool result = LogicSharp.IsNumeric(subStr);
if (!result)
{
return(null);
}
int iNum;
bool result000 = LogicSharp.IsInt(subStr, out iNum);
if (result000)
{
lst.Insert(0, -1 * iNum);
}
else
{
double dNum;
LogicSharp.IsDouble(subStr, out dNum);
lst.Insert(0, -1 * dNum);
}
}
else
{
if (j == -1)
{
if (lst.Count == 1)
{
return(lst[0]);
}
return(new Term(Expression.Multiply, lst));
}
var subStr = str.Substring(0, j + 1);
bool result = LogicSharp.IsNumeric(subStr);
if (!result)
{
return(null);
}
int iNum;
bool result000 = LogicSharp.IsInt(subStr, out iNum);
if (result000)
{
lst.Insert(0, iNum);
}
else
{
double dNum;
LogicSharp.IsDouble(subStr, out dNum);
lst.Insert(0, dNum);
}
}
return(new Term(Expression.Multiply, lst));
}