public static void showVector3(Vector3D v)
{
if (isEnable)
{
Console.WriteLine("[{0},{1},{2},{3}]", v.x, v.y, v.z, v.w);
}
}
public static Vector3D operator +(Vector3D lhs, Vector3D rhs)
{
Vector3D v = new Vector3D();
v.x = lhs.x + rhs.x;
v.y = lhs.y + rhs.y;
v.z = lhs.z + rhs.z;
v.w = 0;
return v;
}
/// <summary>
/// 向量变换
/// </summary>
/// <param name="lhs"></param>
/// <param name="rhs"></param>
/// <returns></returns>
public static Vector3D operator *(Vector3D lhs, Matrix4x4 rhs)
{
Vector3D v = new Vector3D();
v.x = lhs.x * rhs[0, 0] + lhs.y * rhs[1, 0] + lhs.z * rhs[2, 0] + lhs.w * rhs[3, 0];
v.y = lhs.x * rhs[0, 1] + lhs.y * rhs[1, 1] + lhs.z * rhs[2, 1] + lhs.w * rhs[3, 1];
v.z = lhs.x * rhs[0, 2] + lhs.y * rhs[1, 2] + lhs.z * rhs[2, 2] + lhs.w * rhs[3, 2];
v.w = lhs.x * rhs[0, 3] + lhs.y * rhs[1, 3] + lhs.z * rhs[2, 3] + lhs.w * rhs[3, 3];
return v;
}
public static void Test()
{
Vector3D a = new Vector3D(1, 2, 1,1);
Vector3D b = new Vector3D(5, 6, 0,1);
Vector3D c = new Vector3D(1, 2, 3, 1);
float r1 = Vector3D.Dot(a,b);
Vector3D r2 = a - b;
Vector3D r3 = Vector3D.Cross(a,b);
Console.WriteLine("a dot b:{0}", r1);
Console.WriteLine("a - b:({0},{1},{2},{3})", r2.x, r2.y, r2.z, r2.w);
Console.WriteLine("a X b:({0},{1},{2},{3})", r3.x, r3.y, r3.z, r3.w);
//
Matrix4x4 mat1 = new Matrix4x4(1,2,3,4,
1,2,3,4,
1,2,3,4,
0,0,0,1);
Matrix4x4 mat2 = new Matrix4x4(1, 2, 3, 4,
1, 2, 3, 4,
1, 2, 3, 4,
1, 2, 3, 4);
Matrix4x4 mat3 = new Matrix4x4();
mat3.Identity();
Matrix4x4 mat4 = new Matrix4x4(1, 0, 0, 0,
0, 1, 0, 0,
0, 0, 1, 0,
1, 2, 3, 1);
Matrix4x4 mat5 = new Matrix4x4(1, 2, 3, 4,
4, 3, 2, 1,
0, -1, 2, 0,
1, 6, 4, -2);
Console.WriteLine("mat5 Determinate:" + mat5.Determinate());
Console.WriteLine("mat5 GetAdjoint:");
showMat(mat5.GetAdjoint());
Console.WriteLine("mat5 Inverse:" );
showMat(mat5.Inverse());
Console.WriteLine("mat5 * mat5 Inverse:");
showMat(mat5 * mat5.Inverse());
Console.WriteLine("mat2 Transpose:");
showMat(mat2.Transpose());
Matrix4x4 matr1 = mat1 * mat3;
Console.WriteLine("mat1 * mat3:");
showMat(matr1);
Matrix4x4 matr2 = mat1 * mat2;
Console.WriteLine("mat1 * mat2:");
showMat(matr2);
Vector3D r4 = a * mat1;
Console.WriteLine("a * mat1:({0},{1},{2},{3})", r4.x, r4.y, r4.z, r4.w);
Vector3D r5 = a * mat4;
Console.WriteLine("a * mat4:({0},{1},{2},{3})", r5.x, r5.y, r5.z, r5.w);
}
public Camera(Vector3D pos, Vector3D lookAt, Vector3D up, float fov, float aspect, float zn, float zf)
{
this.pos = pos;
this.lookAt = lookAt;
this.up = up;
this.fov = fov;
this.aspect = aspect;
this.zn = zn;
this.zf = zf;
}
public Vertex(Vertex v)
{
point = v.point;
normal = v.normal;
this.vcolor = v.vcolor;
onePerZ = 1;
this.u = v.u;
this.v = v.v;
this.lightingColor = v.lightingColor;
}
/// <summary>
///
/// </summary>
/// <param name="pointList">顶点位置列表</param>
/// <param name="indexs">顶点索引列表</param>
/// <param name="Uvs">uv坐标列表</param>
/// <param name="vertColor">顶点色列表</param>
public Mesh(Vector3D[] pointList, int[] indexs, Point2D[] Uvs, Vector3D[] vertColors, Vector3D[] normals, Material mat)
{
_verts = new Vertex[indexs.Length];
//生成顶点列表
for (int i = 0; i < indexs.Length; i++)
{
int pointIndex = indexs[i];
Vector3D point = pointList[pointIndex];
_verts[i] = new Vertex(point, normals[i], Uvs[i].x, Uvs[i].y, vertColors[i].x, vertColors[i].y, vertColors[i].z);
}
_mat = mat;
}
public Vertex(Vector3D point, Vector3D normal,float u, float v, float r, float g, float b)
{
this.point = point;
this.normal = normal;
this.point.w = 1;
vcolor = new Color();
vcolor.r = r;
vcolor.g = g;
vcolor.b = b;
onePerZ = 1;
this.u = u;
this.v = v;
lightingColor = new Color();
lightingColor.r = 1;
lightingColor.g = 1;
lightingColor.b = 1;
}
/// <summary>
/// 实现了“基础光照模型”，在世界空间进行顶点光照处理
/// </summary>
/// <param name="v"></param>
private void Lighting(Matrix4x4 m, Vector3D worldEyePositon ,ref Vertex v)
{
Vector3D worldPoint = v.point * m;//世界空间顶点位置
Vector3D normal = v.normal * m.Inverse().Transpose();//模型空间法线乘以世界矩阵的逆转置得到世界空间法线
normal = normal.Normalize();
SoftRenderer.RenderData.Color emissiveColor = _mesh.material.emissive;//自发光
SoftRenderer.RenderData.Color ambientColor = _ambientColor * _mesh.material.ka;//环境光
Vector3D inLightDir = (_light.worldPosition - worldPoint).Normalize();
float diffuse = Vector3D.Dot(normal, inLightDir);
if(diffuse < 0)
{
diffuse = 0;
}
SoftRenderer.RenderData.Color diffuseColor = _mesh.material.diffuse * diffuse * _light.lightColor;//漫反射
//
Vector3D inViewDir = (worldEyePositon - worldPoint).Normalize();
Vector3D h = (inViewDir + inLightDir).Normalize();
float specular = 0;
if(diffuse != 0)
{//防止出现光源在物体背面产生高光的情况
specular = (float)System.Math.Pow(MathUntil.Range(Vector3D.Dot(h, normal), 0, 1), _mesh.material.shininess);
}
SoftRenderer.RenderData.Color specularColor = _mesh.material.specular * specular * _light.lightColor;//镜面高光
//
v.lightingColor = emissiveColor + ambientColor + diffuseColor + specularColor;
}
/// <summary>
/// 点乘
/// </summary>
/// <param name="lhs"></param>
/// <param name="rhs"></param>
/// <returns></returns>
public static float Dot(Vector3D lhs,Vector3D rhs)
{
return lhs.x * rhs.x + lhs.y * rhs.y + lhs.z * rhs.z;
}
/// <summary>
/// 叉乘
/// </summary>
/// <param name="lhs"></param>
/// <param name="rhs"></param>
/// <returns></returns>
public static Vector3D Cross(Vector3D lhs, Vector3D rhs)
{
float x = lhs.y * rhs.z - lhs.z * rhs.y;
float y = lhs.z * rhs.x - lhs.x * rhs.z;
float z = lhs.x * rhs.y - lhs.y * rhs.x;
return new Vector3D(x, y, z, 0);
}
public Light(Vector3D worldPosition, Color lightColor)
{
this.worldPosition = worldPosition;
this.lightColor = lightColor;
}