public static Quadratic calculateQuadratic(decimal a, decimal b, decimal c)
{
decimal bNew = b / a, h = bNew / 2, k = (-a * h * h + c);
Root roots = calculateRoots(a, b, c);
string A = a.ToString(format), B = bNew.ToString(format), H = h.ToString(format), K = k.ToString(format);
//Make function to make a string for addition/subtraction?
string text;
text = "Standard form: y = " + (a != 1 ? a != -1 ? A : "-" : "") + "x^2" + (b > 0 ? (b != 1 ? " + " + b + "x" : " + x") : (b < 0 ? (b != -1 ? " " + B + "x" : " - x") : "")) + (c >= 0 ? " + " + c : " " + c) + "\n";
text += "Vertex form: y = " + (a != 1 ? a != -1 ? A : "-" : "") + (h > 0 ? "(x + " + H + ")" : h < 0 ? "(x " + H + ")" : "x") + "^2" + (k > 0 ? " + " + K : k < 0 ? " " + K : "") + "\n";
text += "Vertex: (" + (-h).ToString(format) + ", " + K + ")\n";
text += (a > 0 ? "Min" : "Max") + " of " + K + " when x = " + (-h).ToString(format) + "\n";
text += "Root(s):\n";
if (roots.imaginary)
text += roots.iOne + "\n" + roots.iTwo;
else
text += (roots.one == roots.two ? roots.one.ToString(format) : roots.one.ToString(format) + "\n" + roots.two.ToString(format));
Quadratic quad = new Quadratic(text, a, bNew, h, k);
return quad;
}
private void calculate()
{
decimal a = trimText(aBox.Text), b = trimText(bBox.Text), c = trimText(cBox.Text, false);
if (a == 0)
{
return;
}
if (quadraticRadio.Checked)
{
b = trimText(bBox.Text, false);
Quadratic q = Quadratics.calculateQuadratic(a, b, c);;
answerLabel.Text = q.text;
drawGraph(q);
}
else
{
answerLabel.Text = Trinomials.calculateTrinomial((int)Math.Round(a), (int)Math.Round(b), (int)Math.Round(c));
}
}
private void drawGraph(Quadratic q)
{
graphBox.Image = new Bitmap(graphBox.Width, graphBox.Height);
Graphics graph;
graph = Graphics.FromImage(graphBox.Image);
graph.Clear(Color.White);
Point p1, p2;
p1 = new Point((int)(graphBox.Width / 2), 0);
p2 = new Point((int)(graphBox.Width / 2), graphBox.Height);
graph.DrawLine(black, p1, p2);
p2 = new Point(p2.X - 10, p2.Y - 17);
graph.DrawString("y", Font, black.Brush, p2);
p1 = new Point(0, (int)(graphBox.Height / 2));
p2 = new Point(graphBox.Width, (int)(graphBox.Height / 2));
graph.DrawLine(black, p1, p2);
p2 = new Point(p2.X - 13, p2.Y + 2);
graph.DrawString("x", Font, black.Brush, p2);
List<Point> points = new List<Point>();
int a, num = 20, scale = (int)Math.Abs(q.a / 5);
scale = scale == 0 ? 1 : scale;
scale *= 2;
for (int i = 0; i <= num; ++i)
{
a = i - num / 2;
points.Add(new Point(graphBox.Width / 2 + a * scale, graphBox.Height / 2 - (int)((q.a * (a - q.h) * (a - q.h) + q.k) / scale)));
}
graph.DrawCurve(blue, points.ToArray());
string s;
for (int i = 1; i <= 3; ++i)
{
s = (i * scale).ToString();
p1 = new Point(graphBox.Width / 2 + 10 * i, graphBox.Height / 2);
p2 = new Point(p1.X, p1.Y + 5);
graph.DrawLine(black, p1, p2);
p2 = new Point(p2.X - (TextRenderer.MeasureText(s, Font).Width / 2), p2.Y + 3);
graph.DrawString(s, Font, black.Brush, p2);
}
for (int i = 1; i <= 3; ++i)
{
s = (i * scale).ToString();
p1 = new Point(graphBox.Width / 2, graphBox.Height / 2 - 10 * i);
p2 = new Point(p1.X - 5, p1.Y);
graph.DrawLine(black, p1, p2);
p2 = new Point(p2.X - 5 - (TextRenderer.MeasureText(s, Font).Width / 2), p2.Y - 7);
graph.DrawString(s, Font, black.Brush, p2);
}
}
private void drawGraph(Quadratic q)
{
graphBox.Image = new Bitmap(graphBox.Width, graphBox.Height);
Graphics graph;
graph = Graphics.FromImage(graphBox.Image);
graph.Clear(Color.White);
Point p1, p2;
p1 = new Point((int)(graphBox.Width / 2), 0);
p2 = new Point((int)(graphBox.Width / 2), graphBox.Height);
graph.DrawLine(black, p1, p2);
p2 = new Point(p2.X - 10, p2.Y - 17);
graph.DrawString("y", Font, black.Brush, p2);
p1 = new Point(0, (int)(graphBox.Height / 2));
p2 = new Point(graphBox.Width, (int)(graphBox.Height / 2));
graph.DrawLine(black, p1, p2);
p2 = new Point(p2.X - 13, p2.Y + 2);
graph.DrawString("x", Font, black.Brush, p2);
List <Point> points = new List <Point>();
int a, num = 20, scale = (int)Math.Abs(q.a / 5);
scale = scale == 0 ? 1 : scale;
scale *= 2;
for (int i = 0; i <= num; ++i)
{
a = i - num / 2;
points.Add(new Point(graphBox.Width / 2 + a * scale, graphBox.Height / 2 - (int)((q.a * (a - q.h) * (a - q.h) + q.k) / scale)));
}
graph.DrawCurve(blue, points.ToArray());
string s;
for (int i = 1; i <= 3; ++i)
{
s = (i * scale).ToString();
p1 = new Point(graphBox.Width / 2 + 10 * i, graphBox.Height / 2);
p2 = new Point(p1.X, p1.Y + 5);
graph.DrawLine(black, p1, p2);
p2 = new Point(p2.X - (TextRenderer.MeasureText(s, Font).Width / 2), p2.Y + 3);
graph.DrawString(s, Font, black.Brush, p2);
}
for (int i = 1; i <= 3; ++i)
{
s = (i * scale).ToString();
p1 = new Point(graphBox.Width / 2, graphBox.Height / 2 - 10 * i);
p2 = new Point(p1.X - 5, p1.Y);
graph.DrawLine(black, p1, p2);
p2 = new Point(p2.X - 5 - (TextRenderer.MeasureText(s, Font).Width / 2), p2.Y - 7);
graph.DrawString(s, Font, black.Brush, p2);
}
}
