3DTools/MathUtils.cs

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//---------------------------------------------------------------------------
//
// (c) Copyright Microsoft Corporation.
// This source is subject to the Microsoft Limited Permissive License.
// See http://www.microsoft.com/resources/sharedsource/licensingbasics/limitedpermissivelicense.mspx
// All other rights reserved.
//
// This file is part of the 3D Tools for Windows Presentation Foundation
// project.  For more information, see:
// 
// http://CodePlex.com/Wiki/View.aspx?ProjectName=3DTools
//
//---------------------------------------------------------------------------

using System;
using System.Diagnostics;
using System.Windows;
using System.Windows.Media;
using System.Windows.Media.Media3D;

namespace _3DTools
{
    public static class MathUtils
    {
        public static double GetAspectRatio(Size size)
        {
            return size.Width / size.Height;
        }

        public static double DegreesToRadians(double degrees)
        {
            return degrees * (Math.PI / 180.0);
        }

        private static Matrix3D GetViewMatrix(ProjectionCamera camera)
        {
            Debug.Assert(camera != null,
                "Caller needs to ensure camera is non-null.");

            // This math is identical to what you find documented for
            // D3DXMatrixLookAtRH with the exception that WPF uses a
            // LookDirection vector rather than a LookAt point.

            Vector3D zAxis = -camera.LookDirection;
            zAxis.Normalize();

            Vector3D xAxis = Vector3D.CrossProduct(camera.UpDirection, zAxis);
            xAxis.Normalize();

            Vector3D yAxis = Vector3D.CrossProduct(zAxis, xAxis);

            Vector3D position = (Vector3D)camera.Position;
            double offsetX = -Vector3D.DotProduct(xAxis, position);
            double offsetY = -Vector3D.DotProduct(yAxis, position);
            double offsetZ = -Vector3D.DotProduct(zAxis, position);

            return new Matrix3D(
                xAxis.X, yAxis.X, zAxis.X, 0,
                xAxis.Y, yAxis.Y, zAxis.Y, 0,
                xAxis.Z, yAxis.Z, zAxis.Z, 0,