Created
May 17, 2024 14:31
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A script that simulates the trigonometric functions on the unit circle
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| import math | |
| import pygame | |
| from pygame import Vector2 | |
| import pygame_widgets | |
| from pygame_widgets.slider import Slider | |
| from pygame_widgets.textbox import TextBox | |
| pygame.init() | |
| # colors | |
| BLACK = (50, 50, 50) | |
| BLUE = (76, 194, 255) | |
| GRAY = (100, 110, 110) | |
| GREEN = (5, 255, 175) | |
| LIGHT_BLUE = (173, 216, 230) | |
| LAVENDER = (230, 230, 250) | |
| ORANGE = (255, 160, 100) | |
| PEACH = (255, 218, 185) | |
| PINK = (255, 112, 119) | |
| WHITE = (211, 211, 211) | |
| # screen initialisations | |
| RADIUS = 150 | |
| SCREEN_SIZE = Vector2(1000, 600) | |
| ORIGIN = SCREEN_SIZE / 2 | |
| screen = pygame.display.set_mode(SCREEN_SIZE) | |
| pygame.display.set_caption("Unit Circle Simulation") | |
| font = pygame.font.Font(None, 20) | |
| text = { | |
| 'sin': font.render('sin', True, PEACH), | |
| 'cos': font.render('cos', True, LIGHT_BLUE), | |
| 'tan': font.render('tan', True, GREEN), | |
| 'csc': font.render('csc', True, ORANGE), | |
| 'sec': font.render('sec', True, BLUE), | |
| 'cot': font.render('cot', True, PINK) | |
| } | |
| def blit_text(): | |
| h = 50 | |
| for render in text.values(): | |
| screen.blit(render, (50, h)) | |
| h += 20 | |
| slider = Slider(screen, 300, 550, 400, 20, min=0, max=100, step=0.5, initial=12.5) | |
| output_rad = TextBox(screen, 300, 500, 100, 40, fontSize=25) | |
| output_deg = TextBox(screen, 570, 500, 130, 40, fontSize=25) | |
| output_rad.disable() # act as label instead of textbox | |
| output_deg.disable() | |
| def draw_graph(rad: float): | |
| mid_width = ORIGIN[0] | |
| mid_height = ORIGIN[1] | |
| # cartesian plane | |
| pygame.draw.line(screen, WHITE, (mid_width, 0), (mid_width, 2 * mid_height), 2) | |
| pygame.draw.line(screen, WHITE, (0, mid_height), (2 * mid_width, mid_height), 2) | |
| # circle | |
| pygame.draw.circle(screen, WHITE, ORIGIN, RADIUS, 2) | |
| # angle | |
| rect = pygame.Rect(ORIGIN - Vector2(20, 20), (40, 40)) | |
| pygame.draw.arc(screen, WHITE, rect, 0, rad) | |
| # vector magnitude represents function value | |
| cos = Vector2(math.cos(rad), 0) * RADIUS | |
| sin = Vector2(0, -math.sin(rad)) * RADIUS | |
| sec = Vector2(math.cos(rad) ** -1, 0) * RADIUS | |
| csc = Vector2(0, -math.sin(rad) ** -1) * RADIUS | |
| # point on circle | |
| p = cos + sin | |
| pygame.draw.aaline(screen, WHITE, ORIGIN, ORIGIN + p) # radius | |
| pygame.draw.line(screen, LIGHT_BLUE, ORIGIN + sin, ORIGIN + p, 3) # cos | |
| pygame.draw.line(screen, PEACH, ORIGIN + cos , ORIGIN + p, 3) # sin | |
| pygame.draw.line(screen, BLUE, ORIGIN, ORIGIN + sec, 3) # sec | |
| pygame.draw.line(screen, ORANGE, ORIGIN, ORIGIN + csc, 3) # csc | |
| pygame.draw.line(screen, GREEN, ORIGIN + p, ORIGIN + sec, 3) # tan | |
| pygame.draw.line(screen, PINK, ORIGIN + p, ORIGIN + csc, 3) # cot | |
| running = True | |
| while running: | |
| events = pygame.event.get() | |
| for event in events: | |
| if event.type == pygame.QUIT: | |
| running = False | |
| screen.fill(GRAY) | |
| if (percent := slider.getValue()) == 100 or percent == 0: | |
| slider.setValue(10e-20) | |
| percent = slider.getValue() | |
| rad = 2 * math.pi * percent / 100 | |
| deg = 360 * percent / 100 | |
| output_rad.setText(f"{rad:.2f} rad") | |
| output_deg.setText(f"{deg:0>{6}.2f} deg") | |
| draw_graph(rad) | |
| blit_text() | |
| pygame_widgets.update(events) | |
| pygame.display.update() | |
| pygame.quit() |
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