python - 如何在 Pygame 中围绕偏离中心的支点旋转图像

Question

我想围绕一个枢轴旋转图像，该枢轴不在 Surface 的中心在 Pygame .
枢轴是图像中的绿色十字:



我知道游戏窗口中枢轴的位置。
我如何在此时跟踪图像并同时围绕该点旋转它。

image = pygame.image.load("boomerang64.png")
pos = (200, 200)
angle = 0

while True:
    # [...]

    rotate_rect, rotate_image = ???? # rotate around green cross by angle 
    surf.blit(rotated_image, rotate_rect)
    angle += 1

    # [...]

Answer 1

首先是 Surface 上枢轴的位置必须定义:

image = pygame.image.load("boomerang64.png") # 64x64 surface
pivot = (48, 21)                             # position of the pivot on the image

旋转图像时，其大小会增加。我们要比较axis aligned bounding box旋转前和旋转后的图像。
对于以下数学 pygame.math.Vector2 用来。注意屏幕坐标中的 y 指向屏幕下方，但数学 y 轴点从底部到顶部。这导致在计算过程中必须“翻转”y 轴。请注意 pygame.math.Vector2.rotate与 pygame.transform.rotate 的旋转方向相反.因此角度必须倒转。
用边界框的 4 个角点设置一个列表，并将向量旋转到角点 pygame.math.Vector2.rotate .最后找到旋转框的最小值。由于 pygame 中的 y 轴指向下方，因此必须通过找到旋转倒置高度的最大值 ("max(rotate(-h))") 来补偿:
计算从图像中心到枢轴的向量:

image_rect = image.get_rect(topleft = (pos[0] - originPos[0], pos[1]-originPos[1]))
offset_center_to_pivot = pygame.math.Vector2(pos) - image_rect.center

旋转偏移向量:

rotated_offset = offset_center_to_pivot.rotate(-angle)

计算旋转图像的中心:

rotated_image_center = (pos[0] - rotated_offset.x, pos[1] - rotated_offset.y)

旋转和 blit 图像:

rotated_image = pygame.transform.rotate(image, angle)
rotated_image_rect = rotated_image.get_rect(center = rotated_image_center)

screen.blit(rotated_image, rotated_image_rect)

在下面的示例程序中，函数 blitRotate(surf, image, pos, originPos, angle)执行上述所有步骤和 blit 旋转到与显示器相关联的 Surface 的图像:

surf是目标曲面

image是必须旋转的表面和 blit

pos是目标曲面上的枢轴位置 surf (相对于 surf 的左上角)

originPos是 image 上枢轴的位置表面(相对于 image 的左上角)

angle是以度为单位的旋转角度

import math
import pygame

def blitRotate(surf, image, pos, originPos, angle):
    image_rect = image.get_rect(topleft = (pos[0] - originPos[0], pos[1]-originPos[1]))
    offset_center_to_pivot = pygame.math.Vector2(pos) - image_rect.center
    rotated_offset = offset_center_to_pivot.rotate(-angle)
    rotated_image_center = (pos[0] - rotated_offset.x, pos[1] - rotated_offset.y)
    rotated_image = pygame.transform.rotate(image, angle)
    rotated_image_rect = rotated_image.get_rect(center = rotated_image_center)
    surf.blit(rotated_image, rotated_image_rect)
  
pygame.init()
size = (400,400)
screen = pygame.display.set_mode(size)
clock = pygame.time.Clock()

image = pygame.image.load('Boomerang64.png')
pivot = (48, 21)

angle, frame = 0, 0
done = False
while not done:
    clock.tick(60)
    for event in pygame.event.get():
        if event.type == pygame.QUIT:
            done = True
    screen.fill(0)

    pos = (200 + math.cos(frame * 0.05)*100, 200 + math.sin(frame * 0.05)*50)
    blitRotate(screen, image, pos, pivot, angle)

    pygame.draw.line(screen, (0, 255, 0), (pos[0]-20, pos[1]), (pos[0]+20, pos[1]), 3)
    pygame.draw.line(screen, (0, 255, 0), (pos[0], pos[1]-20), (pos[0], pos[1]+20), 3)
    pygame.draw.circle(screen, (0, 255, 0), pos, 7, 0)

    pygame.display.flip()
    frame += 1
    angle += 10
    
pygame.quit()
exit()

相同的算法可用于 Sprite ， 也。
在这种情况下，位置( self.pos )、枢轴( self.pivot )和角度( self.angle )是类的实例属性。
在 update方法self.rect和 self.image计算属性。
最小示例: repl.it/@Rabbid76/PyGame-RotateSpriteAroundOffCenterPivot

import math
import pygame

class SpriteRotate(pygame.sprite.Sprite):

    def __init__(self, imageName, origin, pivot):
        super().__init__() 
        self.image = pygame.image.load(imageName)
        self.original_image = self.image
        self.rect = self.image.get_rect(topleft = (origin[0]-pivot[0], origin[1]-pivot[1]))
        self.origin = origin
        self.pivot = pivot
        self.angle = 0

    def update(self):
        
        # offset from pivot to center
        image_rect = self.original_image.get_rect(topleft = (self.origin[0] - self.pivot[0], self.origin[1]-self.pivot[1]))
        offset_center_to_pivot = pygame.math.Vector2(self.origin) - image_rect.center
        
        # roatated offset from pivot to center
        rotated_offset = offset_center_to_pivot.rotate(-self.angle)

        # roatetd image center
        rotated_image_center = (self.pos[0] - rotated_offset.x, self.pos[1] - rotated_offset.y)

        # get a rotated image
        self.image  = pygame.transform.rotate(self.original_image, self.angle)
        self.rect   = self.image.get_rect(center = rotated_image_center)
        self.angle += 10
  
pygame.init()
size = (400,400)
screen = pygame.display.set_mode(size)
clock = pygame.time.Clock()

boomerang = SpriteRotate('Boomerang64.png', (200, 200), (48, 21))
all_sprites = pygame.sprite.Group(boomerang)

frame = 0
done = False
while not done:
    clock.tick(60)
    for event in pygame.event.get():
        if event.type == pygame.QUIT:
            done = True
    
    pos = (200 + math.cos(frame * 0.05)*100, 200 + math.sin(frame * 0.05)*50)
    boomerang.pos = pos
    all_sprites.update()

    screen.fill(0)
    
    all_sprites.draw(screen)
    #pygame.draw.line(screen, (0, 255, 0), (pos[0]-20, pos[1]), (pos[0]+20, pos[1]), 3)
    #pygame.draw.line(screen, (0, 255, 0), (pos[0], pos[1]-20), (pos[0], pos[1]+20), 3)
    #pygame.draw.circle(screen, (0, 255, 0), pos, 7, 0)

    pygame.display.flip()
    frame += 1
    
pygame.quit()
exit()

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