public void Normalization()
{
var vector = new Vector3(0, 3, 4);
var normalized = vector.Normalized();
Assert.AreEqual(0, normalized.x, Delta);
Assert.AreEqual(0.6f, normalized.y, Delta);
Assert.AreEqual(0.8f, normalized.z, Delta);
}
public static Quaternion LookRotation(Vector3 direction, Vector3 up)
{
Vector3 directionNormalized = direction.Normalized();
// Rotate around up vector
Vector3 directionProjected = (directionNormalized - up * Vector3.Dot(directionNormalized, up)).Normalized();
Vector3 forwardProjected = (Vector3.Forward - up * Vector3.Dot(Vector3.Forward, up)).Normalized();
float rotationAroundUpAngleHalf = (float) Math.Acos((Vector3.Dot(directionProjected, forwardProjected))) / 2;
var rotationAroundUp = new Quaternion(up * (float) Math.Sin(rotationAroundUpAngleHalf),
(float) Math.Cos(rotationAroundUpAngleHalf));
// Rotate around horizontal vector
Vector3 rotationAxis = Vector3.Cross(directionNormalized, directionProjected);
double angleHalf = Math.Acos(Vector3.Dot(directionNormalized, directionProjected)) / 2;
var rotationAroundHorizontal = new Quaternion(rotationAxis * (float) Math.Sin(angleHalf),
(float) Math.Cos(angleHalf));
return rotationAroundUp * rotationAroundHorizontal;
}
void Render(int resolution)
{
Bitmap bmp = new Bitmap(resolution, resolution);
for (int i = 0; i < resolution; i++)
{
for (int j = 0; j < resolution; j++)
{
bmp.SetPixel(i, j, Color.LightYellow);
}
}
// let's say... kamera w 0,0,0, patrzy na 0,0,1
Sphere s1 = new Sphere() // VS hinted me this syntax... I didn't know it.
{
center = new Vector3(0, 0, 1),
radius = 0.2f,
color = new Vector3(1, 0, 0)
};
Sphere s2 = new Sphere() // VS hinted me this syntax... I didn't know it.
{
center = new Vector3(0.15f, 0.2f, 1.1f),
radius = 0.15f,
color = new Vector3(1, 0f, 1)
};
List <Sphere> spheres = new List <Sphere>();
spheres.Add(s1);
spheres.Add(s2);
PointLight pointLight = new PointLight(new Vector3(5, 40, 10), new Vector3(1, 1, 1));
Camera cam = new Camera(new Vector3(0, 0, 0), new Vector3(0, 0, 1), new Vector3(0, 1, 0), resolution, resolution);
Vector3 oneoneone = new Vector3(1, 1, 1);
for (int i = -cam.xRes; i < cam.xRes; i++)
{
for (int j = -cam.yRes; j < cam.yRes; j++)
{
Vector3 targetPoint = cam.GetPointFromCenter(
2f / (float)(cam.xRes) * (float)i,
2f / (float)(cam.yRes) * (float)j);
Ray r = new Ray(cam.position, targetPoint - cam.position);
foreach (Sphere sphere in spheres)
{
Vector3 intersection = sphere.Intersects(r);
if (intersection != null)
{
Vector3 normal = s1.CalculateNormal(intersection);
Vector3 resultColor = oneoneone;
Vector3 intersection_minus_cam_pos = intersection - cam.position;
float ambientCoeff = 0.2f; float diffuseCoeff = 0.4f; float speculrCoeff = 0.4f;
resultColor *= ambientCoeff; // initialized with 1,1,1
Vector3 intersectionToPointLight = (intersection - pointLight.position);
resultColor += sphere.color * diffuseCoeff *
(normal.Dot(intersectionToPointLight.Normalized())); // diffuse
// specular:
Vector3 reflectedVector = intersectionToPointLight - 2 * (intersectionToPointLight.Dot(normal)) * (normal);
reflectedVector = reflectedVector.Normalized();
resultColor += oneoneone * speculrCoeff *
(float)Math.Pow(
reflectedVector.Dot(intersection_minus_cam_pos.Normalized())
, 40f);
if (resultColor.x < 0)
{
resultColor.x = 0;
}
if (resultColor.y < 0)
{
resultColor.y = 0;
}
if (resultColor.z < 0)
{
resultColor.z = 0;
}
bmp.SetPixel(i + cam.xRes / 2, j + cam.yRes / 2,
Color.FromArgb(
(int)(resultColor.x * 255.0f),
(int)(resultColor.y * 255.0f),
(int)(resultColor.z * 255.0f)
));
}
}
}
}
pictureBox1.Image = resolution == 1600?DownSampled(bmp):bmp;
}