UltimateZoneBuilder/Source/Core/Rendering/Matrix.cs

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace CodeImp.DoomBuilder.Rendering
{
    public struct Matrix
    {
        public float M11, M12, M13, M14;
        public float M21, M22, M23, M24;
        public float M31, M32, M33, M34;
        public float M41, M42, M43, M44;

        public static Matrix Null
        {
            get
            {
                Matrix m = new Matrix();
                m.M11 = 0.0f;
                m.M12 = 0.0f;
                m.M13 = 0.0f;
                m.M14 = 0.0f;
                m.M21 = 0.0f;
                m.M22 = 0.0f;
                m.M23 = 0.0f;
                m.M24 = 0.0f;
                m.M31 = 0.0f;
                m.M32 = 0.0f;
                m.M33 = 0.0f;
                m.M34 = 0.0f;
                m.M41 = 0.0f;
                m.M42 = 0.0f;
                m.M43 = 0.0f;
                m.M44 = 0.0f;
                return m;
            }
        }

        public static Matrix Identity
        {
            get
            {
                Matrix m = Null;
                m.M11 = 1.0f;
                m.M22 = 1.0f;
                m.M33 = 1.0f;
                m.M44 = 1.0f;
                return m;
            }
        }

        public static Matrix Translation(Vector3 v)
        {
            Matrix m = Identity;
            m.M41 = v.X;
            m.M42 = v.Y;
            m.M43 = v.Z;
            return m;
        }

        public static Matrix Translation(float x, float y, float z)
        {
            Matrix m = Identity;
            m.M41 = x;
            m.M42 = y;
            m.M43 = z;
            return m;
        }

        public static Matrix RotationX(float angle)
        {
            float cos = (float)Math.Cos(angle);
            float sin = (float)Math.Sin(angle);

            Matrix result = Null;
            result.M11 = 1.0f;
            result.M22 = cos;
            result.M23 = sin;
            result.M32 = -sin;
            result.M33 = cos;
            result.M44 = 1.0f;
            return result;
        }

        public static Matrix RotationY(float angle)
        {
            float cos = (float)Math.Cos(angle);
            float sin = (float)Math.Sin(angle);

            Matrix result = Null;
            result.M11 = cos;
            result.M13 = -sin;
            result.M22 = 1.0f;
            result.M31 = sin;
            result.M33 = cos;
            result.M44 = 1.0f;
            return result;
        }

        public static Matrix RotationZ(float angle)
        {
            float cos = (float)Math.Cos(angle);
            float sin = (float)Math.Sin(angle);

            Matrix result = Null;
            result.M11 = cos;
            result.M12 = sin;
            result.M21 = -sin;
            result.M22 = cos;
            result.M33 = 1.0f;
            result.M44 = 1.0f;
            return result;
        }

        public static Matrix Scaling(float x, float y, float z)
        {
            Matrix result = Null;
            result.M11 = x;
            result.M22 = y;
            result.M33 = z;
            result.M44 = 1.0f;
            return result;
        }

        public static Matrix Scaling(Vector3 v)
        {
            Matrix result = Null;
            result.M11 = v.X;
            result.M22 = v.Y;
            result.M33 = v.Z;
            result.M44 = 1.0f;
            return result;
        }

        public static Matrix LookAtLH(Vector3 eye, Vector3 target, Vector3 up)
        {
            Vector3 zaxis = Vector3.Normalize(target - eye);
            Vector3 xaxis = Vector3.Cross(up, zaxis);
            Vector3 yaxis = Vector3.Cross(zaxis, xaxis);

            Matrix result = Null;
            result.M11 = xaxis.X;
            result.M12 = yaxis.X;
            result.M13 = zaxis.X;
            result.M21 = xaxis.Y;
            result.M22 = yaxis.Y;
            result.M23 = zaxis.Y;
            result.M31 = xaxis.Z;
            result.M32 = yaxis.Z;
            result.M33 = zaxis.Z;
            result.M41 = -Vector3.Dot(xaxis, eye);
            result.M42 = -Vector3.Dot(yaxis, eye);
            result.M43 = -Vector3.Dot(zaxis, eye);
            result.M44 = 1.0f;
            return result;
        }

        public static Matrix LookAtRH(Vector3 eye, Vector3 target, Vector3 up)
        {
            Vector3 zaxis = Vector3.Normalize(target - eye);
            Vector3 xaxis = Vector3.Cross(up, zaxis);
            Vector3 yaxis = Vector3.Cross(zaxis, xaxis);

            Matrix result = Null;
            result.M11 = xaxis.X;
            result.M12 = yaxis.X;
            result.M13 = zaxis.X;
            result.M21 = xaxis.Y;
            result.M22 = yaxis.Y;
            result.M23 = zaxis.Y;
            result.M31 = xaxis.Z;
            result.M32 = yaxis.Z;
            result.M33 = zaxis.Z;
            result.M41 = Vector3.Dot(xaxis, eye);
            result.M42 = Vector3.Dot(yaxis, eye);
            result.M43 = Vector3.Dot(zaxis, eye);
            result.M44 = 1.0f;
            return result;
        }

        public static Matrix PerspectiveFovLH(float fov, float aspect, float znear, float zfar)
        {
            float yScale = (float)(1.0 / Math.Tan(fov * 0.5f));
            float xScale = yScale / aspect;

            Matrix result = Null;
            result.M11 = xScale;
            result.M22 = yScale;
            result.M33 = zfar / (znear - zfar);
            result.M43 = -znear * zfar / (znear - zfar);
            result.M34 = 1.0f;
            return result;
        }

        public static Matrix PerspectiveFovRH(float fov, float aspect, float znear, float zfar)
        {
            float yScale = (float)(1.0 / Math.Tan(fov * 0.5f));
            float xScale = yScale / aspect;

            Matrix result = Null;
            result.M11 = xScale;
            result.M22 = yScale;
            result.M33 = zfar / (znear - zfar);
            result.M43 = znear * zfar / (znear - zfar);
            result.M34 = -1.0f;
            return result;
        }

        public static Matrix Multiply(Matrix left, Matrix right)
        {
            Matrix result = new Matrix();
            result.M11 = (left.M11 * right.M11) + (left.M12 * right.M21) + (left.M13 * right.M31) + (left.M14 * right.M41);
            result.M12 = (left.M11 * right.M12) + (left.M12 * right.M22) + (left.M13 * right.M32) + (left.M14 * right.M42);
            result.M13 = (left.M11 * right.M13) + (left.M12 * right.M23) + (left.M13 * right.M33) + (left.M14 * right.M43);
            result.M14 = (left.M11 * right.M14) + (left.M12 * right.M24) + (left.M13 * right.M34) + (left.M14 * right.M44);
            result.M21 = (left.M21 * right.M11) + (left.M22 * right.M21) + (left.M23 * right.M31) + (left.M24 * right.M41);
            result.M22 = (left.M21 * right.M12) + (left.M22 * right.M22) + (left.M23 * right.M32) + (left.M24 * right.M42);
            result.M23 = (left.M21 * right.M13) + (left.M22 * right.M23) + (left.M23 * right.M33) + (left.M24 * right.M43);
            result.M24 = (left.M21 * right.M14) + (left.M22 * right.M24) + (left.M23 * right.M34) + (left.M24 * right.M44);
            result.M31 = (left.M31 * right.M11) + (left.M32 * right.M21) + (left.M33 * right.M31) + (left.M34 * right.M41);
            result.M32 = (left.M31 * right.M12) + (left.M32 * right.M22) + (left.M33 * right.M32) + (left.M34 * right.M42);
            result.M33 = (left.M31 * right.M13) + (left.M32 * right.M23) + (left.M33 * right.M33) + (left.M34 * right.M43);
            result.M34 = (left.M31 * right.M14) + (left.M32 * right.M24) + (left.M33 * right.M34) + (left.M34 * right.M44);
            result.M41 = (left.M41 * right.M11) + (left.M42 * right.M21) + (left.M43 * right.M31) + (left.M44 * right.M41);
            result.M42 = (left.M41 * right.M12) + (left.M42 * right.M22) + (left.M43 * right.M32) + (left.M44 * right.M42);
            result.M43 = (left.M41 * right.M13) + (left.M42 * right.M23) + (left.M43 * right.M33) + (left.M44 * right.M43);
            result.M44 = (left.M41 * right.M14) + (left.M42 * right.M24) + (left.M43 * right.M34) + (left.M44 * right.M44);
            return result;
        }

        public static Matrix operator *(Matrix a, Matrix b)
        {
            return Matrix.Multiply(a, b);
        }

        public override bool Equals(object o)
        {
            if (o is Matrix)
            {
                Matrix v = (Matrix)o;
                return this == v;
            }
            else
            {
                return false;
            }
        }

        public override int GetHashCode()
        {
            return
                M11.GetHashCode() + M12.GetHashCode() + M13.GetHashCode() + M14.GetHashCode() +
                M21.GetHashCode() + M22.GetHashCode() + M23.GetHashCode() + M24.GetHashCode() +
                M31.GetHashCode() + M32.GetHashCode() + M33.GetHashCode() + M34.GetHashCode() +
                M41.GetHashCode() + M42.GetHashCode() + M43.GetHashCode() + M44.GetHashCode();
        }

        public static bool operator ==(Matrix left, Matrix right)
        {
            return
                left.M11 == right.M11 && left.M12 == right.M12 && left.M13 == right.M13 && left.M14 == right.M14 &&
                left.M21 == right.M21 && left.M22 == right.M22 && left.M23 == right.M23 && left.M24 == right.M24 &&
                left.M31 == right.M31 && left.M32 == right.M32 && left.M33 == right.M33 && left.M34 == right.M34 &&
                left.M41 == right.M41 && left.M42 == right.M42 && left.M43 == right.M43 && left.M44 == right.M44;
        }

        public static bool operator !=(Matrix left, Matrix right)
        {
            return
                left.M11 != right.M11 || left.M12 != right.M12 || left.M13 != right.M13 || left.M14 != right.M14 ||
                left.M21 != right.M21 || left.M22 != right.M22 || left.M23 != right.M23 || left.M24 != right.M24 ||
                left.M31 != right.M31 || left.M32 != right.M32 || left.M33 != right.M33 || left.M34 != right.M34 ||
                left.M41 != right.M41 || left.M42 != right.M42 || left.M43 != right.M43 || left.M44 != right.M44;
        }
    }
}