//determine and load a transformation matrix that manipulates the complex coordinates of the quad.
private void PrepareInstance(Vector2 mousePositionUnitCoordinates, float mouseWheelDelta, Fractal fractal)
{
float stepPercent = 1 - (2 * mouseWheelDelta / 100f);
Vector2 mousePositionComplex = new Vector2(Mathematics.Lerp(mousePositionUnitCoordinates.X, fractal.domain[0].X, fractal.domain[1].X), -Mathematics.Lerp(mousePositionUnitCoordinates.Y, fractal.domain[0].Y, fractal.domain[3].Y));
Vector2 bottomLeft = Mathematics.Lerp(stepPercent, mousePositionComplex, fractal.domain[0]);
Vector2 bottomRight = Mathematics.Lerp(stepPercent, mousePositionComplex, fractal.domain[1]);
Vector2 topRight = Mathematics.Lerp(stepPercent, mousePositionComplex, fractal.domain[2]);
Vector2 topLeft = Mathematics.Lerp(stepPercent, mousePositionComplex, fractal.domain[3]);
float xScale = Math.Abs(bottomRight.X - bottomLeft.X);
float yScale = Math.Abs(topLeft.Y - bottomLeft.Y);
Matrix4 transformationMatrix = Mathematics.CreateTransformationMatrix(new Vector3(bottomLeft.X, bottomLeft.Y, 0), xScale, yScale);
mandelbrotShader.LoadTransformationMatrix(transformationMatrix);
fractal.domain[0] = bottomLeft;
fractal.domain[1] = bottomRight;
fractal.domain[2] = topRight;
fractal.domain[3] = topLeft;
}
