public Z3Point3D GetInverted() { ArithExpr invertedX = Z3Math.Neg(this.X); ArithExpr invertedY = Z3Math.Neg(this.Y); ArithExpr invertedZ = Z3Math.Neg(this.Z); return(new Z3Point3D(invertedX, invertedY, invertedZ)); }
// Arithmetic helpers public static ArithExpr Abs(ArithExpr expr) { Expr result = Z3.Context.MkITE( Z3.Context.MkGe(expr, Z3Math.Zero), expr, Z3Math.Neg(expr)); return(result as ArithExpr); }
ArithExpr CalcApproximateCoordFromManhattanToEuclidianSystem( ArithExpr firstCoord, ArithExpr secondCoord, ArithExpr thirdCoord) { // Work only with values length // Values sign will be assigned again in the end ArithExpr firstCoordLength = Z3Math.Abs(firstCoord); ArithExpr secondCoordLength = Z3Math.Abs(secondCoord); ArithExpr thirdCoordLength = Z3Math.Abs(thirdCoord); // The all common length will be weighted by this // This way for example a (1, 1, 1) vector will become // A (0.57, 0.57, 0.57) with norm near to 1 //ArithExpr sqrt1div3 = Z3Math.Real(0.57735026918962576450914878050196); ArithExpr sqrt1div3 = Z3Math.Real(0.577); // The remaining common length will be weighted by this // This way for example a (1, 1, 0) vector will become // A (0.7, 0.7, 0.7) with norm near to 1 //ArithExpr sin45 = Z3Math.Real(0.70710678118654752440084436210485) ArithExpr sin45 = Z3Math.Real(0.707); // Calc common length between x, y, z ArithExpr allCommonLength = Z3Math.Min( firstCoordLength, secondCoordLength, thirdCoordLength); // Calc the common length between the target coord (firstCoord) // and the higher coord between the second and third coords ArithExpr lastTwoCommonLength = Z3Math.Max( Z3Math.Min(secondCoordLength, firstCoordLength), Z3Math.Min(thirdCoordLength, firstCoordLength)); // Calc exclusevely common length with the remaining coordinate ArithExpr lastTwoExclusiveCommonLength = Z3Math.Sub( lastTwoCommonLength, allCommonLength); // Calc remaining length ArithExpr especificLength = Z3Math.Sub(firstCoordLength, Z3Math.Add(lastTwoExclusiveCommonLength, allCommonLength)); // Calc weighted lengths ArithExpr weigthedLength1 = Z3Math.Mul(lastTwoExclusiveCommonLength, sin45); ArithExpr weigthedLength2 = Z3Math.Mul(allCommonLength, sqrt1div3); // Calc weighted result length ArithExpr resultLength = Z3Math.Add( especificLength, weigthedLength1, weigthedLength2); // The transform doesn't change the sign of the coordinate // Recover it from original data Expr result = Z3.Context.MkITE( Z3.Context.MkGe(firstCoord, Z3Math.Zero), resultLength, Z3Math.Neg(resultLength)); return(result as ArithExpr); }