public new static List <FigSynthProblem> AppendShape(Figure outerShape, List <Segment> segments)
{
List <FigSynthProblem> composed = new List <FigSynthProblem>();
int length = Figure.DefaultSideLength();
int angle = Figure.DefaultFirstQuadrantNonRightAngle();
foreach (Segment seg in segments)
{
List <Triangle> tris;
MakeTriangles(seg, length, angle, out tris);
foreach (Triangle t in tris)
{
FigSynthProblem prob = Figure.MakeAdditionProblem(outerShape, t);
if (prob != null)
{
composed.Add(prob);
}
}
}
return(FigSynthProblem.RemoveSymmetric(composed));
}
public static Trapezoid ConstructDefaultTrapezoid()
{
int smallBase = Figure.DefaultSideLength();
int largeBase = Figure.DefaultSideLength();
int height = Figure.DefaultSideLength();
int offset = Figure.SmallIntegerValue();
// Acquire a non-equal side.
while (smallBase >= largeBase)
{
smallBase = Figure.DefaultSideLength();
largeBase = Figure.DefaultSideLength();
}
Point topLeft = PointFactory.GeneratePoint(offset, height);
Point topRight = PointFactory.GeneratePoint(offset + smallBase, height);
Point bottomRight = PointFactory.GeneratePoint(largeBase, 0);
Segment left = new Segment(origin, topLeft);
Segment top = new Segment(topLeft, topRight);
Segment right = new Segment(topRight, bottomRight);
Segment bottom = new Segment(bottomRight, origin);
return(new Trapezoid(left, right, top, bottom));
}
public static IsoscelesTrapezoid ConstructDefaultIsoscelesTrapezoid()
{
int base1 = Figure.DefaultSideLength();
int side = Figure.DefaultSideLength();
// Ensure a smaller side then base for a 'normal' look.
while (base1 <= side)
{
base1 = Figure.DefaultSideLength();
side = Figure.DefaultSideLength();
}
int baseAngle = Figure.DefaultFirstQuadrantNonRightAngle();
Point topLeft = Figure.GetPointByLengthAndAngleInStandardPosition(side, baseAngle);
topLeft = PointFactory.GeneratePoint(topLeft.X, topLeft.Y);
Point topRight = Figure.GetPointByLengthAndAngleInThirdQuadrant(side, baseAngle);
topRight = PointFactory.GeneratePoint(base1 + topRight.X, topRight.Y);
Point bottomRight = PointFactory.GeneratePoint(base1, 0);
Segment left = new Segment(origin, topLeft);
Segment top = new Segment(topLeft, topRight);
Segment right = new Segment(topRight, bottomRight);
Segment bottom = new Segment(bottomRight, origin);
return(new IsoscelesTrapezoid(left, right, top, bottom));
}
//
// With appending in this case, we choose the given segment to be the base.
//
public new static List <FigSynthProblem> AppendShape(Figure outerShape, List <Segment> segments)
{
List <FigSynthProblem> composed = new List <FigSynthProblem>();
// Acquire a set of lengths of the given segments.
List <int> lengths = new List <int>();
segments.ForEach(s => Utilities.AddUnique <int>(lengths, (int)s.Length));
//
// Acquire the length of the isosceles triangle so that it is longer than the half the distance of the segment.
//
int newLength = -1;
for (newLength = Figure.DefaultSideLength(); ; newLength = Figure.DefaultSideLength())
{
bool longEnough = true;
foreach (Segment side in segments)
{
if (newLength < (side.Length / 2.0) + 1)
{
longEnough = false;
break;
}
}
if (longEnough)
{
break;
}
}
//
// Construct the triangles.
//
foreach (Segment seg in segments)
{
List <Triangle> tris;
MakeIsoscelesTriangles(seg, newLength, out tris);
foreach (Triangle t in tris)
{
FigSynthProblem prob = Figure.MakeAdditionProblem(outerShape, t);
if (prob != null)
{
composed.Add(prob);
}
}
}
return(FigSynthProblem.RemoveSymmetric(composed));
}
public static IsoscelesTriangle ConstructDefaultIsoscelesTriangle()
{
int baseLength = Figure.DefaultSideLength();
int height = Figure.DefaultSideLength();
Point top = PointFactory.GeneratePoint(baseLength / 2.0, height);
Point bottomRight = PointFactory.GeneratePoint(baseLength, 0);
Segment left = new Segment(origin, top);
Segment right = new Segment(top, bottomRight);
Segment bottom = new Segment(bottomRight, origin);
return(new IsoscelesTriangle(left, right, bottom));
}
public static RightTriangle ConstructDefaultRightTriangle()
{
int length = Figure.DefaultSideLength();
int width = Figure.DefaultSideLength();
Point topLeft = PointFactory.GeneratePoint(0, width);
Point bottomRight = PointFactory.GeneratePoint(length, 0);
Segment left = new Segment(origin, topLeft);
Segment hypotenuse = new Segment(topLeft, bottomRight);
Segment bottom = new Segment(bottomRight, origin);
return(new RightTriangle(left, bottom, hypotenuse));
}
public static Square ConstructDefaultSquare()
{
int length = Figure.DefaultSideLength();
Point topLeft = PointFactory.GeneratePoint(0, length);
Point topRight = PointFactory.GeneratePoint(length, length);
Point bottomRight = PointFactory.GeneratePoint(length, 0);
Segment left = new Segment(origin, topLeft);
Segment top = new Segment(topLeft, topRight);
Segment right = new Segment(topRight, bottomRight);
Segment bottom = new Segment(bottomRight, origin);
return(new Square(left, right, top, bottom));
}
public static EquilateralTriangle ConstructDefaultEquilateralTriangle()
{
int sideLength = Figure.DefaultSideLength();
Point top = Figure.GetPointByLengthAndAngleInStandardPosition(sideLength, 60);
top = PointFactory.GeneratePoint(top.X, top.Y);
Point bottomRight = PointFactory.GeneratePoint(sideLength, 0);
Segment left = new Segment(origin, top);
Segment right = new Segment(top, bottomRight);
Segment bottom = new Segment(bottomRight, origin);
return(new EquilateralTriangle(left, right, bottom));
}
public static Parallelogram ConstructDefaultParallelogram()
{
int baseLength = Figure.DefaultSideLength();
int height = Figure.DefaultSideLength();
int offset = Figure.SmallIntegerValue();
Point topLeft = PointFactory.GeneratePoint(offset, height);
Point topRight = PointFactory.GeneratePoint(offset + baseLength, height);
Point bottomRight = PointFactory.GeneratePoint(baseLength, 0);
Segment left = new Segment(origin, topLeft);
Segment top = new Segment(topLeft, topRight);
Segment right = new Segment(topRight, bottomRight);
Segment bottom = new Segment(bottomRight, origin);
return(new Parallelogram(left, right, top, bottom));
}
public static Kite ConstructDefaultKite()
{
int height = Figure.DefaultSideLength() / 2;
int width1 = Figure.DefaultSideLength() / 2;
int width2 = Figure.DefaultSideLength() / 2;
Point top = PointFactory.GeneratePoint(width1, height);
Point right = PointFactory.GeneratePoint(width1 + width2, 0);
Point bottom = PointFactory.GeneratePoint(width1, -height);
Segment leftTop = new Segment(origin, top);
Segment rightTop = new Segment(top, right);
Segment rightBottom = new Segment(right, bottom);
Segment leftBottom = new Segment(bottom, origin);
return(new Kite(leftTop, rightBottom, rightTop, leftBottom));
}
public new static List <FigSynthProblem> AppendShape(Figure outerShape, List <Segment> segments)
{
//
// Acquire a set of lengths of the given segments.
//
List <int> lengths = new List <int>();
segments.ForEach(s => Utilities.AddUnique <int>(lengths, (int)s.Length));
// Acquire the length of the rectangle so it is fixed among all appended shapes.
// We avoid a square by looping.
int newLength = -1;
for (newLength = Figure.DefaultSideLength(); lengths.Contains(newLength); newLength = Figure.DefaultSideLength())
{
;
}
List <FigSynthProblem> composed = new List <FigSynthProblem>();
foreach (Segment seg in segments)
{
Rectangle rect1;
Rectangle rect2;
MakeRectangles(seg, newLength, out rect1, out rect2);
FigSynthProblem prob = Figure.MakeAdditionProblem(outerShape, rect1);
if (prob != null)
{
composed.Add(prob);
}
prob = Figure.MakeAdditionProblem(outerShape, rect2);
if (prob != null)
{
composed.Add(prob);
}
}
return(FigSynthProblem.RemoveSymmetric(composed));
}
public static Rhombus ConstructDefaultRhombus()
{
int sideLength = Figure.DefaultSideLength();
int baseAngle = Figure.DefaultFirstQuadrantNonRightAngle();
Point topLeft = Figure.GetPointByLengthAndAngleInStandardPosition(sideLength, baseAngle);
double offsetX = topLeft.X;
double offsetY = topLeft.Y;
topLeft = PointFactory.GeneratePoint(topLeft.X, topLeft.Y);
Point topRight = PointFactory.GeneratePoint(offsetX + sideLength, offsetY);
Point bottomRight = PointFactory.GeneratePoint(sideLength, 0);
Segment left = new Segment(origin, topLeft);
Segment top = new Segment(topLeft, topRight);
Segment right = new Segment(topRight, bottomRight);
Segment bottom = new Segment(bottomRight, origin);
return(new Rhombus(left, right, top, bottom));
}
//
// Append parallelograms to appropriate segments.
//
public new static List <FigSynthProblem> AppendShape(Figure outerShape, List <Segment> segments)
{
// Acquire a set of lengths of the given segments.
List <int> lengths = new List <int>();
segments.ForEach(s => Utilities.AddUnique <int>(lengths, (int)s.Length));
// Acquire the length of the rectangle so it is fixed among all appended shapes.
// We avoid a rhombus by looping.
int newLength = -1;
for (newLength = Figure.DefaultSideLength(); lengths.Contains(newLength); newLength = Figure.DefaultSideLength())
{
;
}
int angle = Figure.DefaultFirstQuadrantNonRightAngle();
// Create the shapes.
List <FigSynthProblem> composed = new List <FigSynthProblem>();
foreach (Segment seg in segments)
{
List <Parallelogram> parallelograms = new List <Parallelogram>();
parallelograms.AddRange(MakeParallelograms(seg, newLength, angle));
foreach (Parallelogram para in parallelograms)
{
FigSynthProblem prob = Figure.MakeAdditionProblem(outerShape, para);
if (prob != null)
{
composed.Add(prob);
}
}
}
return(FigSynthProblem.RemoveSymmetric(composed));
}
public static Quadrilateral ConstructDefaultRectangle()
{
int length = Figure.DefaultSideLength();
int width = Figure.DefaultSideLength();
// Ensure we don't have a square.
while (width == length)
{
length = Figure.DefaultSideLength();
width = Figure.DefaultSideLength();
}
Point topLeft = PointFactory.GeneratePoint(0, width);
Point topRight = PointFactory.GeneratePoint(length, width);
Point bottomRight = PointFactory.GeneratePoint(length, 0);
Segment left = new Segment(origin, topLeft);
Segment top = new Segment(topLeft, topRight);
Segment right = new Segment(topRight, bottomRight);
Segment bottom = new Segment(bottomRight, origin);
return(new Rectangle(left, right, top, bottom));
}
public new static List <FigSynthProblem> AppendShape(Figure outerShape, List <Segment> segments)
{
List <FigSynthProblem> composed = new List <FigSynthProblem>();
// Acquire a set of lengths of the given segments.
//
List <int> lengths = new List <int>();
segments.ForEach(s => Utilities.AddUnique <int>(lengths, (int)s.Length));
// Acquire an isosceles triangle by looping.
int newLength = -1;
for (newLength = Figure.DefaultSideLength(); lengths.Contains(newLength); newLength = Figure.DefaultSideLength())
{
;
}
foreach (Segment seg in segments)
{
List <RightTriangle> tris;
MakeRightTriangles(seg, newLength, out tris);
foreach (RightTriangle rt in tris)
{
FigSynthProblem prob = Figure.MakeAdditionProblem(outerShape, rt);
if (prob != null)
{
composed.Add(prob);
}
}
}
return(FigSynthProblem.RemoveSymmetric(composed));
}
public static Circle ConstructDefaultCircle()
{
int radius = Figure.DefaultSideLength() / 2;
return(new Circle(origin, radius));
}