Math-Graph/main.py
2025-04-03 21:25:06 +02:00

236 lines
7.5 KiB
Python

#!/usr/bin/python3
import pygame
import math
import random
pygame.init()
## funktionen
def get_debug_text():
def text(text, line_counter):
debug_text = default_font.render(str(text), True, (255,255,255))
screen.blit(debug_text, (0, line_counter * default_font.get_height()))
line_counter = 1
globalvars = globals()
for a in globalvars:
text(f"{str(a)} = {str(globalvars[a])}", line_counter)
line_counter += 1
def random_color():
levels = range(32,256,32)
return tuple(random.choice(levels) for _ in range(3))
def frange(start, stop, step):
array = []
while start <= stop:
array.append(round(start, 1)) # Rundet auf 1 Nachkommastelle
start += step
return array
##return [round(start + step * i, 10) for i in range(int((stop - start) / step))]
## klassen
print(frange(-1,1,0.1))
class Graph:
def __init__(self) -> None:
self.scale = 100
# scale = abstand von einer ganzahl in px
self.on_resize()
self.fdots = []
self.pos = [0, 0]
self.functions = []
self.function_map = {
"sin": math.sin,
"cos": math.cos,
"tan": math.tan,
"exp": math.exp,
"log": math.log,
"sqrt": math.sqrt,
"abs": abs
}
def on_resize(self):
# self.pos = nulpunkt auf dem bildschirm
self.pos = [screensize[0] // 2, screensize[1] // 2]
def get_y(self, func, x):
if x == 0:
return 0
return eval(func[0], {"x": x, "math": math})
def calculate(self):
self.fdots = []
for _ in self.functions:
self.fdots.append([])
for i, func in enumerate(self.functions):
for x in frange(-50,50,1/resolution):#range(0, screensize[0] * resolution):
#x -= self.pos[0]
#x /= resolution
if not self.get_y(func,x) < screensize[1]:
pass
else:
self.fdots[i].append((x, self.get_y(func,x)))
def draw_grid(self):
### lines
for x in range(self.pos[0] % self.scale, screensize[0], self.scale):
pygame.draw.line(screen, (200, 200, 200), (x, 0), (x, screensize[1]), 1)
for y in range(self.pos[1] % self.scale, screensize[1], self.scale):
pygame.draw.line(screen, (200, 200, 200), (0, y), (screensize[0], y), 1)
### beschriftung
# x beschriftung
for num, x in enumerate(range(self.pos[0] % self.scale, screensize[0], self.scale)):
pygame.draw.line(screen, (255, 255, 255), (x, self.pos[1] + 10), (x, self.pos[1] - 10), 5)
num = self.pos[0] // self.scale - num
num *= -1
screen.blit(
default_font.render(str(num), False, (255, 255, 255)),
(x + 10, self.pos[1] + 10),
)
# y beschriftung
for num, y in enumerate(range(self.pos[1] % self.scale, screensize[1], self.scale)):
pygame.draw.line(screen, (255, 255, 255), (self.pos[0] + 10, y), (self.pos[0] - 10, y), 5)
num = self.pos[1] // self.scale - num
screen.blit(
default_font.render(str(num), False, (255, 255, 255)),
(self.pos[0] + 10, y + 10),
)
# x linie
pygame.draw.line(
screen, (255, 255, 255), (0, self.pos[1]), (screensize[0], self.pos[1]), 2
)
# y linie
pygame.draw.line(
screen, (255, 255, 255), (self.pos[0], 0), (self.pos[0], screensize[1]), 2
)
def draw_functions(self):
def get_point(fi,f, p): #function, pointer
return (self.pos[0] + self.fdots[fi][p][0] * self.scale,
self.pos[1] - self.fdots[fi][p][1] * self.scale)
for i, func in enumerate(self.functions):
if draw_mode:
for p in range(len(self.fdots[i]) - 1):
pygame.draw.line(
screen,
self.functions[i][1],
get_point(i, func, p),
get_point(i, func, p+1)
, 6
)
else:
for p in range(len(self.fdots[i])):
pygame.draw.circle(
screen,
self.functions[i][1],
get_point(i, func,p),
6
)
def update(self):
self.draw_grid()
self.calculate()
self.draw_functions()
## variablen
screen = pygame.display.set_mode((300, 300), pygame.RESIZABLE)
screensize = pygame.display.get_window_size()
clock = pygame.time.Clock()
default_font = pygame.font.SysFont("sans", 14)
resolution = 3
draw_mode = 0
# 0 = lines , 1 = dots
old_graph_pos = []
old_mouse_pos = []
dragging = False
graph = Graph()
graph.functions.append(("2*x",(0,255,0)))
graph.functions.append(("math.sin(x)",(0,255,255)))
graph.functions.append(("5/x",(255,255,0)))
graph.functions.append(("x**2",(255,0,0)))
show_debug = False
running = True
if __name__ == "__main__":
while running:
## key managment
pressed_keys = pygame.key.get_pressed()
if pressed_keys[pygame.K_ESCAPE]:
exit()
if pressed_keys[pygame.K_d] and not preview_pressed_keys[pygame.K_d]:
show_debug = not show_debug
if pressed_keys[pygame.K_SPACE] and not preview_pressed_keys[pygame.K_SPACE]:
draw_mode = not draw_mode
if pressed_keys[pygame.K_PLUS] and not preview_pressed_keys[pygame.K_PLUS]:
resolution += 1
if pressed_keys[pygame.K_MINUS] and not preview_pressed_keys[pygame.K_MINUS]:
resolution -= 1
if pressed_keys[pygame.K_UP]:
graph.pos[1] += 1
if pressed_keys[pygame.K_DOWN]:
graph.pos[1] -= 1
if pressed_keys[pygame.K_LEFT]:
graph.pos[0] += 1
if pressed_keys[pygame.K_RIGHT]:
graph.pos[0] -= 1
preview_pressed_keys = pressed_keys
## event managment
for event in pygame.event.get():
if event.type == pygame.QUIT:
exit()
if event.type == pygame.MOUSEWHEEL:
if event.dict["y"] == -1 and not graph.scale == 30:
graph.scale -= 1
if event.dict["y"] == 1:
graph.scale += 1
if event.type == pygame.WINDOWRESIZED:
screensize = pygame.display.get_window_size()
graph.on_resize()
if event.type == pygame.MOUSEBUTTONDOWN:
if event.button == 1: # Left mouse button
dragging = True
old_graph_pos = graph.pos[:]
old_mouse_pos = pygame.mouse.get_pos()
if event.type == pygame.MOUSEBUTTONUP:
if event.button == 1: # Left mouse button
dragging = False
if dragging:
mouse_x, mouse_y = pygame.mouse.get_pos()
offset_x = mouse_x - old_mouse_pos[0]
offset_y = mouse_y - old_mouse_pos[1]
graph.pos[0] = old_graph_pos[0] + offset_x
graph.pos[1] = old_graph_pos[1] + offset_y
graph.update()
if show_debug:
get_debug_text()
## bildschirm aktuallisierung
pygame.display.flip()
clock.tick(60)
screen.fill((0, 0, 0))