我需要在坐标系上绘制正弦波和余弦波，就像在this https://i.stack.imgur.com/DGI8g.png图片。除了没能代表以外，我所有的工作都做得很好虚线和曲线与 pygame 一致。我有与我需要的类似的东西，但我怎样才能让它弯曲呢？或者我该如何改进它以使其像pygame.draw.lines, not pygame.draw.line?
import pygame
import math
class Point:
# constructed using a normal tupple
def __init__(self, point_t = (0,0)):
self.x = float(point_t[0])
self.y = float(point_t[1])
# define all useful operators
def __add__(self, other):
return Point((self.x + other.x, self.y + other.y))
def __sub__(self, other):
return Point((self.x - other.x, self.y - other.y))
def __mul__(self, scalar):
return Point((self.x*scalar, self.y*scalar))
def __div__(self, scalar):
return Point((self.x/scalar, self.y/scalar))
def __len__(self):
return int(math.sqrt(self.x**2 + self.y**2))
# get back values in original tuple format
def get(self):
return (self.x, self.y)
def draw_dashed_line(surf, color, start_pos, end_pos, width=1, dash_length=4):
origin = Point(start_pos)
target = Point(end_pos)
displacement = target - origin
length = len(displacement)
slope = displacement.__div__(length)
for index in range(0, int(length/dash_length), 2):
start = origin + (slope * index * dash_length)
end = origin + (slope * (index + 1) * dash_length)
pygame.draw.line(surf, color, start.get(), end.get(), width)
pygame.init()
screen = pygame.display.set_mode((400, 300))
done = False
while not done:
draw_dashed_line(screen,(0,255,0),(0,0),(110,110))
for event in pygame.event.get():
if event.type == pygame.QUIT:
done = True
pygame.display.flip()
编写一个操作类似的函数pygame.draw.line() http://www.pygame.org/docs/ref/draw.html#pygame.draw.lines但画一条虚直线。该函数有一个附加参数prev_line_len它指示线段在连续曲线内的位置。计算欧氏距离 https://en.wikipedia.org/wiki/Euclidean_distance点与点之间单位向量 https://en.wikipedia.org/wiki/Unit_vector从线段的起点指向线段的终点。沿线分布笔画：
def draw_dashed_line(surf, color, p1, p2, prev_line_len, dash_length=8):
dx, dy = p2[0]-p1[0], p2[1]-p1[1]
if dx == 0 and dy == 0:
return
dist = math.hypot(dx, dy)
dx /= dist
dy /= dist
step = dash_length*2
start = (int(prev_line_len) // step) * step
end = (int(prev_line_len + dist) // step + 1) * step
for i in range(start, end, dash_length*2):
s = max(0, start - prev_line_len)
e = min(start - prev_line_len + dash_length, dist)
if s < e:
ps = p1[0] + dx * s, p1[1] + dy * s
pe = p1[0] + dx * e, p1[1] + dy * e
pygame.draw.line(surf, color, pe, ps
编写另一个功能类似于pygame.draw.lines() https://www.pygame.org/docs/ref/draw.html#pygame.draw.lines，但使用前一个函数（draw_dashed_line) 绘制虚线。计算从曲线起点到每条线段起点的长度并将其传递给函数：
def draw_dashed_lines(surf, color, points, dash_length=8):
line_len = 0
for i in range(1, len(points)):
p1, p2 = points[i-1], points[i]
dist = math.hypot(p2[0]-p1[0], p2[1]-p1[1])
draw_dashed_line(surf, color, p1, p2, line_len, dash_length)
line_len += dist
最小的例子：
repl.it/@Rabbid76/DashedLineimport pygame
import math
def draw_dashed_line(surf, color, p1, p2, prev_line_len, dash_length=8):
dx, dy = p2[0]-p1[0], p2[1]-p1[1]
if dx == 0 and dy == 0:
return
dist = math.hypot(dx, dy)
dx /= dist
dy /= dist
step = dash_length*2
start = (int(prev_line_len) // step) * step
end = (int(prev_line_len + dist) // step + 1) * step
for i in range(start, end, dash_length*2):
s = max(0, start - prev_line_len)
e = min(start - prev_line_len + dash_length, dist)
if s < e:
ps = p1[0] + dx * s, p1[1] + dy * s
pe = p1[0] + dx * e, p1[1] + dy * e
pygame.draw.line(surf, color, pe, ps)
def draw_dashed_lines(surf, color, points, dash_length=8):
line_len = 0
for i in range(1, len(points)):
p1, p2 = points[i-1], points[i]
dist = math.hypot(p2[0]-p1[0], p2[1]-p1[1])
draw_dashed_line(surf, color, p1, p2, line_len, dash_length)
line_len += dist
pygame.init()
screen = pygame.display.set_mode((400, 300))
done = False
line = [(i, 150 + math.sin(math.radians(i*2)) * 100) for i in range(400)]
while not done:
for event in pygame.event.get():
if event.type == pygame.QUIT:
done = True
draw_dashed_lines(screen, (255, 255, 255), line)
pygame.display.flip()