How to correctly display rotation object with pytmx?

Question

After many research I didn't find the answer, when I'm trying to display object in pygame with pytmx, the result is fully broken, because x, y change with rotation. I've tried to use matrix rotation but for this, I need to know the original center. I don't know how to find it, because Tiled sends me, x, y after rotation...

So my goal is simply to display object tile in pygame with pytmx.

import numpy
import math

angle = math.radians(-117.57) #rotation get with tiled, set - for cancel rotation
center_x = 148 #how to get this ?
center_y = 747 #and this
x = 126.82 #get with tiled
y = 679.54 #get with tiled

id_rotation = [ [math.cos(angle), -math.sin(angle)],
                [math.sin(angle), math.cos(angle)] ]
R = numpy.matrix(id_rotation)

id_position = [ [x - center_x],
                [y - center_y] ]
B = numpy.matrix(id_position)

id_center = [ [center_x],
              [center_y] ]
C = numpy.matrix(id_center)

print(numpy.dot(R, B) + C) #return original position before rotation

If I only use pygame.transform.rotate:

if isinstance(layer, pytmx.TiledObjectGroup):
        for object in layer:
            if (object.image):
                assets_surface = pygame.Surface((object.width, object.height), pygame.SRCALPHA)
                assets_surface.blit(object.image, (0, 0))
                assets_surface_rotate = pygame.transform.rotate(assets_surface, -object.rotation)
                rdc.blit(assets_surface_rotate, (object.x, object.y))

I get this the wrong position x,y for tile object:

Answer 1

I think you are doing some error when passing the x and y position of the object after rotation. I've never used tile map so I don't know the specifics, but in pygame when you pass the position to blit, you should pass the coordinates of the top-left corner. The top-left corner of the Surface will be at those coordinates.

rdc.blit(assets_surface_rotate, (object.x, object.y))

Here I don't know what coordinates object.x and object.y are exactly, but I bet they are not the top-left corner, or your code should work.

In general to do these kind of jobs you can use a Sprite class or subclass, which can help a lot.

class TMSprite(pygame.sprite.Sprite):
    # Constructor. Create a Surface from a TileMap and set its position
    def __init__(self, tmo, x, y, width, height):
        # Call the parent class (Sprite) constructor
        super(TMSprite, self).__init__()

        # Create the image of the block
        self.image = pygame.Surface((width, height), pygame.SRCALPHA)
        self.image.blit(tmo.image, (0, 0))

        # Fetch the rectangle object that has the dimensions of the image
        # Set its position with the move method
        self.rect = self.image.get_rect().move(x, y)

    def rotate(self, angle):
        # TMSprite rotation on its center of a given angle
        rot_center = self.rect.center
        self.image = pygame.transform.rotate(self.image, angle)
        self.rect = self.image.get_rect()
        self.rect.center = rot_center

And this is how you could rewrite your snippet using the TMSprite class.

if isinstance(layer, pytmx.TiledObjectGroup):
    for tmob in layer:
        if (tmob.image):
            x = tmob.x #x should be that of the top-left corner. Adjust the formula if tmob.x is not the top-left
            y = tmob.y #y should be that of the top-left corner. Adjust the formula if tmob.y is not the top-left
            assets_sprite = TMSprite(tmob, x, y, tmob.width, tmob.height)
            assets_sprite.rotate(-object.rotation)
            rdc.blit(assets_sprite.image, assets_sprite.rect)

Here, instead of passing the top-left coordinates, I pass the Rect of the sprite to blit. The blit method will extract the coordinates from the rectangle.

Note that rotation is performed on the centre of the Surface. After rotation, if the angle is not a multiple of 90°, the Surface is enlarged since the square of the Surface must be aligned with the screen. If there is an alpha channel is not a problem, the extra pixel are transparent, but the top-left corner will change.

Answer 2

Ok I have found the solution if someone needs :

elif isinstance(layer, pytmx.TiledObjectGroup):
        for Object in layer:
            if (Object.image):
                if Object.rotation != 0:
                    angle = math.radians(-Object.rotation)
                    center_x = Object.centerX
                    center_y = Object.centerY
                    Object_y = Object.y + Object.height

                    id_rotation = [ [math.cos(angle), -math.sin(angle)],
                                    [math.sin(angle), math.cos(angle)] ]
                    R = numpy.matrix(id_rotation)

                    id_position = [ [Object.x - center_x],
                                    [Object_y - center_y] ]
                    P = numpy.matrix(id_position)

                    id_center = [ [center_x],
                                [center_y] ]
                    C = numpy.matrix(id_center)

                    position_without_rotation = numpy.dot(R, P) + C

                    no_rotation_x = position_without_rotation[0]
                    no_rotation_y = position_without_rotation[1] - Object.height #Repere Tiled pas le meme que Pygame

                    Object_surface = pygame.Surface((Object.image.get_rect()[2], Object.image.get_rect()[3]), pygame.SRCALPHA)
                    Object_surface.blit(Object.image, (0, 0))
                    Object_surface_scale = pygame.transform.scale(Object_surface, (round(Object.width), round(Object.height)))
                    Object_surface_rotate = pygame.transform.rotate(Object_surface_scale, -Object.rotation) #Pygame va en anti horaire

                    extra_x = (Object_surface_rotate.get_rect()[2] - Object.width) / 2
                    extra_y = (Object_surface_rotate.get_rect()[3] - Object.height) / 2

                    rdc.blit(Object_surface_rotate, (no_rotation_x - extra_x, no_rotation_y - extra_y))
                else:
                    Object_surface = pygame.Surface((Object.image.get_rect()[2], Object.image.get_rect()[3]), pygame.SRCALPHA)
                    Object_surface.blit(Object.image, (0, 0))
                    Object_surface_scale = pygame.transform.scale(Object_surface, (round(Object.width), round(Object.height)))

                    rdc.blit(Object_surface_scale, (Object.x, Object.y))