import numpy, pygame

class Point:
    """Numpy 3-vec"""
    def __init__(self, x, y, z):
        self.vector = numpy.array([x, y, z])

    def magnitude(self):
        return numpy.linalg.norm(self.vector)

    def normalize(self):
        self.vector = self.vector/self.magnitude()
        return self

    def distanceFrom(self, otherPoint:"Point"):
        return numpy.linalg.norm(self.vector - otherPoint.vector)

    def add(p1, p2):
        sum = numpy.add(p1.vector, p2.vector)
        return Point(sum[0], sum[1], sum[2])

    def subtract(p1, p2):
        diff = numpy.subtract(p1.vector, p2.vector)
        return Point(diff[0], diff[1], diff[2])

    def dot(p1, p2):
        return numpy.dot(p1.vector, p2.vector)

    def scalarMult(p1, scalar):
        mult = p1.vector * scalar
        return Point(mult[0], mult[1], mult[2])


Point.zero = Point(0, 0, 0)

class Ray:
    def __init__(self, origin:Point, direction:Point):
        self.origin = origin
        self.direction = direction

class Line:
    def __init__(self, p1:Point, p2:Point):
        self.p1 = p1
        self.p2 = p2

    def intersectWithPlane(self, plane):
        lineVec = Point.subtract(self.p2, self.p1)
        dot = Point.dot(plane.normal, lineVec)

        if abs(dot) > 1e-6:
            w = Point.subtract(self.p1, plane.point)
            fac = -Point.dot(plane.normal, w) / dot
            u = Point.scalarMult(lineVec, fac)
            return Point.add(self.p1, u)
        else:
            return None

class Plane:
    def __init__(self, point:Point, normal:Point):
        self.point = point
        self.normal = normal

class Camera:
    """Object which will be used to paint pixels on screen."""
    def __init__(self, surface:pygame.Surface, location:Point, target:"Planet", objects, hFOV = 55, vFOV = 55):
        self.surface = surface
        self.objects = objects
        self.location = location
        self.target = target
        self.hFOV = hFOV
        self.vFOV = vFOV

    def isInside(self, planet:"Planet"):
        """returns True if camera is inside the planet."""
        return numpy.linalg.norm(self.location.magnitude) < planet.radius

    def renderFrame(self):
        """generates a frame and draws it to the surface. Does not update screen; use pygame.display.flip()"""
        winWidth, winHeight = self.surface.get_size()
        winDistance = winWidth * numpy.cos(numpy.radians(self.hFOV)/2) / 2 #distance for a virtual screen to exist in-space to give the correct FOV
        vecToCenter = Point.subtract(self.target.location, self.location)
        vecToCenter.normalize()
        screenPlane = Plane(Point.add(self.location, Point.scalarMult(vecToCenter, winDistance)), vecToCenter)
        screenSurface = pygame.Surface((winWidth, winHeight))
        #pygame uses 0,0 as the top left corner
        for obj in self.objects:
            if type(obj).__name__ == "OrbitingBody":
                lineToCamera = Line(obj.location, self.location)
                intersectPoint = lineToCamera.intersectWithPlane(screenPlane)
                if intersectPoint is not None:
                    intersectPoint = Point.add(intersectPoint, Point(int(winWidth/2), int(winHeight/2), 0))
                    pygame.draw.circle(screenSurface, (255,255,150), (int(intersectPoint.vector[0]), int(intersectPoint.vector[1])), obj.displaySize)
            elif type(obj).__name__ == "Planet":
                lineToCamera = Line(obj.location, self.location)
                intersectPoint = lineToCamera.intersectWithPlane(screenPlane)
                if intersectPoint is not None:
                    intersectPoint = Point.add(intersectPoint, Point(int(winWidth/2), int(winHeight/2), 0))
                    pygame.draw.circle(screenSurface, (255,255,150), (int(intersectPoint.vector[0]), int(intersectPoint.vector[1])), 15)

        screenSurface = pygame.transform.flip(screenSurface, False, True)
        self.surface.blit(screenSurface, (0,0))
        

        #for row in range(int(-winHeight/2), int(winHeight/2)):
        #    for column in range(int(-winWidth/2), int(winWidth/2)):
        #        line = Line(self.location, Point(self.location.x + column))