/// <summary>
        /// Draw a virtual object at a specific location on a specified plane.
        /// This method is called when WorldRenderManager's OnDrawFrame.
        /// </summary>
        /// <param name="cameraView">The viewMatrix is a 4 * 4 matrix.</param>
        /// <param name="cameraProjection">The ProjectionMatrix is a 4 * 4 matrix.</param>
        /// <param name="lightIntensity">The lighting intensity.</param>
        /// <param name="obj">The virtual object.</param>
        public void OnDrawFrame(float[] cameraView, float[] cameraProjection, float lightIntensity, VirtualObject obj)
        {
            ShaderUtil.CheckGlError(TAG, "onDrawFrame start.");
            mModelMatrixs = obj.GetModelAnchorMatrix();
            Matrix.MultiplyMM(mModelViewMatrixs, 0, cameraView, 0, mModelMatrixs, 0);
            Matrix.MultiplyMM(mModelViewProjectionMatrixs, 0, cameraProjection, 0, mModelViewMatrixs, 0);
            GLES20.GlUseProgram(mGlProgram);
            Matrix.MultiplyMV(mViewLightDirections, 0, mModelViewMatrixs, 0, LIGHT_DIRECTIONS, 0);
            MatrixUtil.NormalizeVec3(mViewLightDirections);

            // Light direction.
            GLES20.GlUniform4f(mLightingParametersUniform,
                               mViewLightDirections[0], mViewLightDirections[1], mViewLightDirections[2], lightIntensity);
            float[] objColors = obj.GetColor();

            GLES20.GlUniform4fv(mColorUniform, 1, objColors, 0);
            GLES20.GlActiveTexture(GLES20.GlTexture0);
            GLES20.GlBindTexture(GLES20.GlTexture2d, mTextures[0]);
            GLES20.GlUniform1i(mTextureUniform, 0);
            GLES20.GlBindBuffer(GLES20.GlArrayBuffer, mVertexBufferId);

            // The coordinate dimension of the read virtual object is 3.
            GLES20.GlVertexAttribPointer(
                mPositionAttribute, 3, GLES20.GlFloat, false, 0, 0);

            // The dimension of the normal vector is 3.
            GLES20.GlVertexAttribPointer(
                mNormalAttribute, 3, GLES20.GlFloat, false, 0, mNormalsBaseAddress);

            // The dimension of the texture coordinate is 2.
            GLES20.GlVertexAttribPointer(
                mTexCoordAttribute, 2, GLES20.GlFloat, false, 0, mTexCoordsBaseAddress);
            GLES20.GlBindBuffer(GLES20.GlArrayBuffer, 0);
            GLES20.GlUniformMatrix4fv(
                mModelViewUniform, 1, false, mModelViewMatrixs, 0);
            GLES20.GlUniformMatrix4fv(
                mModelViewProjectionUniform, 1, false, mModelViewProjectionMatrixs, 0);
            GLES20.GlEnableVertexAttribArray(mPositionAttribute);
            GLES20.GlEnableVertexAttribArray(mNormalAttribute);
            GLES20.GlEnableVertexAttribArray(mTexCoordAttribute);
            GLES20.GlBindBuffer(GLES20.GlElementArrayBuffer, mIndexBufferId);
            GLES20.GlDrawElements(GLES20.GlTriangles, mIndexCount, GLES20.GlUnsignedShort, 0);
            GLES20.GlBindBuffer(GLES20.GlElementArrayBuffer, 0);
            GLES20.GlDisableVertexAttribArray(mPositionAttribute);
            GLES20.GlDisableVertexAttribArray(mNormalAttribute);
            GLES20.GlDisableVertexAttribArray(mTexCoordAttribute);
            GLES20.GlBindTexture(GLES20.GlTexture2d, 0);
            ShaderUtil.CheckGlError(TAG, "onDrawFrame end.");
        }
        // Convert the input coordinates to the plane coordinate system.
        private float[] CalculateScreenPos(float coordinateX, float coordinateY, float coordinateZ)
        {
            // The coordinates of the point are four-dimensional (x, y, z, w).
            float[] vecs = new float[4];
            vecs[0] = coordinateX;
            vecs[1] = coordinateY;
            vecs[2] = coordinateZ;
            vecs[3] = 1.0f;

            // Store the coordinate values in the clip coordinate system.
            float[] rets = new float[4];
            Matrix.MultiplyMV(rets, 0, mModelViewProjectionMatrixs, 0, vecs, 0);

            // Divide by the w component of the coordinates.
            rets[0] /= rets[3];
            rets[1] /= rets[3];
            rets[2] /= rets[3];

            // In the current coordinate system, left is negative, right is positive, downward
            // is positive, and upward is negative.Adding 1 to the left of the X coordinate is
            // equivalent to moving the coordinate system leftwards. Such an operation on the Y
            // axis is equivalent to moving the coordinate system upwards.
            rets[0] += 1.0f;
            rets[1]  = 1.0f - rets[1];

            // Convert to pixel coordinates.
            rets[0] *= mWidth;
            rets[1] *= mHeight;

            // When the w component is set to 1, the xy component caused by coordinate system
            // movement is eliminated and doubled.
            rets[3]  = 1.0f;
            rets[0] /= 2.0f;
            rets[1] /= 2.0f;
            return(rets);
        }
        /**
         * Draws the model.
         *
         * @param cameraView  A 4x4 view matrix, in column-major order.
         * @param cameraPerspective  A 4x4 projection matrix, in column-major order.
         * @param lightIntensity  Illumination intensity.  Combined with diffuse and specular material
         *     properties.
         * @see #setBlendMode(BlendMode)
         * @see #updateModelMatrix(float[], float)
         * @see #setMaterialProperties(float, float, float, float)
         * @see android.opengl.Matrix
         */
        public void Draw(float[] cameraView, float[] cameraPerspective, float lightIntensity)
        {
            ShaderUtil.CheckGLError(TAG, "Before draw");

            // Build the ModelView and ModelViewProjection matrices
            // for calculating object position and light.
            Matrix.MultiplyMM(mModelViewMatrix, 0, cameraView, 0, mModelMatrix, 0);
            Matrix.MultiplyMM(mModelViewProjectionMatrix, 0, cameraPerspective, 0, mModelViewMatrix, 0);

            GLES20.GlUseProgram(mProgram);

            // Set the lighting environment properties.
            Matrix.MultiplyMV(mViewLightDirection, 0, mModelViewMatrix, 0, LIGHT_DIRECTION, 0);
            normalizeVec3(mViewLightDirection);
            GLES20.GlUniform4f(mLightingParametersUniform,
                               mViewLightDirection[0], mViewLightDirection[1], mViewLightDirection[2], lightIntensity);

            // Set the object material properties.
            GLES20.GlUniform4f(mMaterialParametersUniform, mAmbient, mDiffuse, mSpecular,
                               mSpecularPower);

            // Attach the object texture.
            GLES20.GlActiveTexture(GLES20.GlTexture0);
            GLES20.GlBindTexture(GLES20.GlTexture2d, mTextures[0]);
            GLES20.GlUniform1i(mTextureUniform, 0);

            // Set the vertex attributes.
            GLES20.GlBindBuffer(GLES20.GlArrayBuffer, mVertexBufferId);

            GLES20.GlVertexAttribPointer(
                mPositionAttribute, COORDS_PER_VERTEX, GLES20.GlFloat, false, 0, mVerticesBaseAddress);
            GLES20.GlVertexAttribPointer(
                mNormalAttribute, 3, GLES20.GlFloat, false, 0, mNormalsBaseAddress);
            GLES20.GlVertexAttribPointer(
                mTexCoordAttribute, 2, GLES20.GlFloat, false, 0, mTexCoordsBaseAddress);

            GLES20.GlBindBuffer(GLES20.GlArrayBuffer, 0);

            // Set the ModelViewProjection matrix in the shader.
            GLES20.GlUniformMatrix4fv(
                mModelViewUniform, 1, false, mModelViewMatrix, 0);
            GLES20.GlUniformMatrix4fv(
                mModelViewProjectionUniform, 1, false, mModelViewProjectionMatrix, 0);

            // Enable vertex arrays
            GLES20.GlEnableVertexAttribArray(mPositionAttribute);
            GLES20.GlEnableVertexAttribArray(mNormalAttribute);
            GLES20.GlEnableVertexAttribArray(mTexCoordAttribute);

            if (mBlendMode != BlendMode.Null)
            {
                GLES20.GlDepthMask(false);
                GLES20.GlEnable(GLES20.GlBlend);
                switch (mBlendMode)
                {
                case BlendMode.Shadow:
                    // Multiplicative blending function for Shadow.
                    GLES20.GlBlendFunc(GLES20.GlZero, GLES20.GlOneMinusSrcAlpha);
                    break;

                case BlendMode.Grid:
                    // Grid, additive blending function.
                    GLES20.GlBlendFunc(GLES20.GlSrcAlpha, GLES20.GlOneMinusSrcAlpha);
                    break;
                }
            }

            GLES20.GlBindBuffer(GLES20.GlElementArrayBuffer, mIndexBufferId);
            GLES20.GlDrawElements(GLES20.GlTriangles, mIndexCount, GLES20.GlUnsignedShort, 0);
            GLES20.GlBindBuffer(GLES20.GlElementArrayBuffer, 0);

            if (mBlendMode != BlendMode.Null)
            {
                GLES20.GlDisable(GLES20.GlBlend);
                GLES20.GlDepthMask(true);
            }

            // Disable vertex arrays
            GLES20.GlDisableVertexAttribArray(mPositionAttribute);
            GLES20.GlDisableVertexAttribArray(mNormalAttribute);
            GLES20.GlDisableVertexAttribArray(mTexCoordAttribute);

            GLES20.GlBindTexture(GLES20.GlTexture2d, 0);

            ShaderUtil.CheckGLError(TAG, "After draw");
        }