Add sierpinsky carpet zoom, multiple types of Julia set

game/julia.py

@@ -0,0 +1,95 @@
+import arcade, arcade.gui, pyglet, json
+
+from PIL import Image
+
+from game.shader import create_julia_shader
+from utils.constants import menu_background_color, button_style
+from utils.preload import button_texture, button_hovered_texture
+
+class JuliaViewer(arcade.gui.UIView):
+    def __init__(self, pypresence_client):
+        super().__init__()
+
+        self.pypresence_client = pypresence_client
+
+        with open("settings.json", "r") as file:
+            self.settings_dict = json.load(file)
+
+        self.max_iter = self.settings_dict.get("julia_max_iter", 200)
+        self.zoom = 1.0
+        self.real_min = -self.settings_dict.get("julia_escape_radius", 2)
+        self.real_max = self.settings_dict.get("julia_escape_radius", 2)
+        self.imag_min = -self.settings_dict.get("julia_escape_radius", 2)
+        self.imag_max = self.settings_dict.get("julia_escape_radius", 2)
+
+    def zoom_at(self, center_x, center_y, zoom_factor):
+        center_real = self.real_min + (center_x / self.width) * (self.real_max - self.real_min)
+        center_imag = self.imag_min + (center_y / self.height) * (self.imag_max - self.imag_min)
+
+        new_real_range = (self.real_max - self.real_min) / zoom_factor
+        new_imag_range = (self.imag_max - self.imag_min) / zoom_factor
+
+        self.real_min = center_real - new_real_range / 2
+        self.real_max = center_real + new_real_range / 2
+        self.imag_min = center_imag - new_imag_range / 2
+        self.imag_max = center_imag + new_imag_range / 2
+
+    def on_show_view(self):
+        super().on_show_view()
+
+        self.shader_program, self.julia_image = create_julia_shader(self.window.width, self.window.height, self.settings_dict.get("julia_precision", "Single").lower(), self.settings_dict.get("julia_escape_radius", 2), self.settings_dict.get("julia_type", "Classic swirling"))
+
+        self.julia_sprite = pyglet.sprite.Sprite(img=self.julia_image)
+
+        self.create_image()
+
+        self.pypresence_client.update(state='Viewing Julia', details=f'Zoom: {self.zoom}\nMax Iterations: {self.max_iter}', start=self.pypresence_client.start_time)
+
+        self.setup_ui()
+
+    def main_exit(self):
+        from menus.main import Main
+        self.window.show_view(Main(self.pypresence_client))
+
+    def setup_ui(self):
+        self.anchor = self.add_widget(arcade.gui.UIAnchorLayout(size_hint=(1, 1)))
+
+        self.info_box = self.anchor.add(arcade.gui.UIBoxLayout(space_between=10, vertical=False), anchor_x="center", anchor_y="top")
+        self.zoom_label = self.info_box.add(arcade.gui.UILabel(text=f"Zoom: {self.zoom}", font_name="Protest Strike", font_size=16))
+        self.max_iter_label = self.info_box.add(arcade.gui.UILabel(text=f"Max Iterations: {self.max_iter}", font_name="Protest Strike", font_size=16))
+
+        self.back_button = arcade.gui.UITextureButton(texture=button_texture, texture_hovered=button_hovered_texture, text='<--', style=button_style, width=100, height=50)
+        self.back_button.on_click = lambda event: self.main_exit()
+        self.anchor.add(self.back_button, anchor_x="left", anchor_y="top", align_x=5, align_y=-5)
+
+    def create_image(self):
+        with self.shader_program:
+            self.shader_program['u_maxIter'] = self.max_iter
+            self.shader_program['u_resolution'] = (self.window.width, self.window.height)
+            self.shader_program['u_real_range'] = (self.real_min, self.real_max)
+            self.shader_program['u_imag_range'] = (self.imag_min, self.imag_max)
+            self.shader_program.dispatch(self.julia_image.width, self.julia_image.height, 1, barrier=pyglet.gl.GL_ALL_BARRIER_BITS)
+
+    def on_mouse_press(self, x: int, y: int, button: int, modifiers: int) -> bool | None:
+        super().on_mouse_press(x, y, button, modifiers)
+
+        if button == arcade.MOUSE_BUTTON_LEFT:
+            zoom = self.settings_dict.get("julia_zoom_increase", 2)
+        elif button == arcade.MOUSE_BUTTON_RIGHT:
+            zoom = 1 / self.settings_dict.get("julia_zoom_increase", 2)
+        else:
+            return
+
+        self.zoom *= zoom
+
+        self.zoom_label.text = f"Zoom: {self.zoom}"
+
+        self.zoom_at(self.window.mouse.data["x"], self.window.mouse.data["y"], zoom)
+        self.create_image()
+
+        self.pypresence_client.update(state='Viewing Julia', details=f'Zoom: {self.zoom}\nMax Iterations: {self.max_iter}', start=self.pypresence_client.start_time)
+
+    def on_draw(self):
+        self.window.clear()
+        self.julia_sprite.draw()
+        self.ui.draw()

game/mandelbrot.py

@@ -3,7 +3,7 @@ import arcade, arcade.gui, pyglet, json
 from PIL import Image
 
 from game.shader import create_mandelbrot_shader
-from utils.constants import menu_background_color, button_style, initial_real_min, initial_real_max, initial_imag_min, initial_imag_max
+from utils.constants import menu_background_color, button_style, mandelbrot_initial_real_min, mandelbrot_initial_real_max, mandelbrot_initial_imag_min, mandelbrot_initial_imag_max
 from utils.preload import button_texture, button_hovered_texture
 
 class MandelbrotViewer(arcade.gui.UIView):
@@ -11,10 +11,10 @@ class MandelbrotViewer(arcade.gui.UIView):
         super().__init__()
 
         self.pypresence_client = pypresence_client
-        self.real_min = initial_real_min
+        self.real_min = mandelbrot_initial_real_min
-        self.real_max = initial_real_max
+        self.real_max = mandelbrot_initial_real_max
-        self.imag_min = initial_imag_min
+        self.imag_min = mandelbrot_initial_imag_min
-        self.imag_max = initial_imag_max
+        self.imag_max = mandelbrot_initial_imag_max
 
         with open("settings.json", "r") as file:
             self.settings_dict = json.load(file)

game/play.py

@@ -29,6 +29,9 @@ class FractalChooser(arcade.gui.UIView):
         self.sierpinsky_carpet_button = self.grid.add(arcade.gui.UITextureButton(texture=button_texture, texture_hovered=button_hovered_texture, text='Sierpinsky Carpet', style=button_style, width=200, height=200), row=0, column=1)
         self.sierpinsky_carpet_button.on_click = lambda event: self.sierpinsky_carpet()
 
+        self.julia_button = self.grid.add(arcade.gui.UITextureButton(texture=button_texture, texture_hovered=button_hovered_texture, text='Julia', style=button_style, width=200, height=200), row=0, column=2)
+        self.julia_button.on_click = lambda event: self.julia()
+
     def main_exit(self):
         from menus.main import Main
         self.window.show_view(Main(self.pypresence_client))
@@ -40,3 +43,7 @@ class FractalChooser(arcade.gui.UIView):
     def sierpinsky_carpet(self):
         from game.sierpinsky_carpet import SierpinskyCarpetViewer
         self.window.show_view(SierpinskyCarpetViewer(self.pypresence_client))
+
+    def julia(self):
+        from game.julia import JuliaViewer
+        self.window.show_view(JuliaViewer(self.pypresence_client))

game/shader.py

@@ -1,4 +1,6 @@
 import pyglet
+from utils.constants import c_for_julia_type
+
 mandelbrot_compute_source = """#version 430 core
 
 uniform int u_maxIter;
@@ -54,11 +56,17 @@ sierpinsky_carpet_compute_source = """#version 430 core
 
 uniform int u_depth;
 uniform int u_zoom;
+uniform vec2 u_center;
 layout (local_size_x = 1, local_size_y = 1, local_size_z = 1) in;
 layout(location = 0, rgba32f) uniform image2D img_output;
 
 void main() {
-    ivec2 coord = ivec2(gl_GlobalInvocationID.xy);
+    {vec2type} centered = {vec2type}(gl_GlobalInvocationID.xy) - u_center;
+    {vec2type} zoomed = centered / u_zoom;
+    {vec2type} final_coord = zoomed + u_center;
+
+    ivec2 coord = ivec2(final_coord);
+
     bool isHole = false;
 
     for (int i = 0; i < u_depth; ++i) {
@@ -75,9 +83,66 @@ void main() {
 
 """
 
+julia_compute_source = """#version 430 core
+
+uniform int u_maxIter;
+uniform vec2 u_resolution;
+uniform vec2 u_real_range;
+uniform vec2 u_imag_range;
+
+layout (local_size_x = 1, local_size_y = 1, local_size_z = 1) in;
+layout(location = 0, rgba32f) uniform image2D img_output;
+
+{vec2type} map_pixel({floattype} x, {floattype} y, {vec2type} resolution, {vec2type} real_range, {vec2type} imag_range) {
+    {floattype} real = real_range.x + (x / resolution.x) * (real_range.y - real_range.x);
+    {floattype} imag = imag_range.x + (y / resolution.y) * (imag_range.y - imag_range.x);
+    return {vec2type}(real, imag);
+}
+
+void main() {
+    ivec2 texel_coord = ivec2(gl_GlobalInvocationID.xy);
+
+    int R = {escape_radius};
+    {vec2type} c = {vec2type}{julia_c};
+
+    {vec2type} z = map_pixel({floattype}(texel_coord.x), {floattype}(texel_coord.y), u_resolution, u_real_range, u_imag_range);
+
+    int iters = 0;
+
+    while ((z.x * z.x + z.y * z.y) < pow(R, 2) && iters < u_maxIter) {
+        {floattype} xtemp = z.x * z.x - z.y * z.y;
+        z.y = 2 * z.x * z.y  + c.y;
+        z.x = xtemp + c.x;
+
+        iters = iters + 1;
+    }
+
+    vec4 value = vec4(0.0, 0.0, 0.0, 1.0);
+
+    if (iters != u_maxIter) {
+        float t = float(iters) / float(u_maxIter);
+        float pow_amount = 0.7;
+        t = pow(t, pow_amount);
+
+        value.r = 9.0 * (1.0 - t) * t * t * t;
+        value.g = 15.0 * (1.0 - t) * (1.0 - t) * t * t;
+        value.b = 8.5 * (1.0 - t) * (1.0 - t) * (1.0 - t) * t;
+    }
+
+    imageStore(img_output, texel_coord, value);
+}
+"""
+
 def create_sierpinsky_carpet_shader(width, height, precision="single"):
     shader_source = sierpinsky_carpet_compute_source
 
+    if precision == "single":
+        shader_source = shader_source.replace("{vec2type}", "vec2").replace("{floattype}", "float")
+    elif precision == "double":
+        shader_source = shader_source.replace("{vec2type}", "dvec2").replace("{floattype}", "double")
+    else:
+        raise TypeError("Invalid Precision")
+
     shader_program = pyglet.graphics.shader.ComputeShaderProgram(shader_source)
 
     sierpinsky_carpet_image = pyglet.image.Texture.create(width, height, internalformat=pyglet.gl.GL_RGBA32F)
@@ -87,6 +152,31 @@ def create_sierpinsky_carpet_shader(width, height, precision="single"):
 
     return shader_program, sierpinsky_carpet_image
 
+def create_julia_shader(width, height, precision="single", escape_radius=2, julia_type="Classic swirling"):
+    shader_source = julia_compute_source
+
+    if precision == "single":
+        shader_source = shader_source.replace("{vec2type}", "vec2").replace("{floattype}", "float")
+    elif precision == "double":
+        shader_source = shader_source.replace("{vec2type}", "dvec2").replace("{floattype}", "double")
+    else:
+        raise TypeError("Invalid Precision")
+
+    julia_c = c_for_julia_type[julia_type]
+    shader_source = shader_source.replace("{julia_c}", str(julia_c))
+
+    shader_source = shader_source.replace("{escape_radius}", str(escape_radius))
+
+    shader_program = pyglet.graphics.shader.ComputeShaderProgram(shader_source)
+
+    julia_image = pyglet.image.Texture.create(width, height, internalformat=pyglet.gl.GL_RGBA32F)
+
+    uniform_location = shader_program['img_output']
+    julia_image.bind_image_texture(unit=uniform_location)
+
+    return shader_program, julia_image
+
+
 def create_mandelbrot_shader(width, height, precision="single"):
     shader_source = mandelbrot_compute_source
 

game/sierpinsky_carpet.py

@@ -22,7 +22,7 @@ class SierpinskyCarpetViewer(arcade.gui.UIView):
     def on_show_view(self):
         super().on_show_view()
 
-        self.shader_program, self.sierpinsky_carpet_image = create_sierpinsky_carpet_shader(self.window.width, self.window.height, self.settings_dict.get("precision", "Single").lower())
+        self.shader_program, self.sierpinsky_carpet_image = create_sierpinsky_carpet_shader(self.window.width, self.window.height, self.settings_dict.get("sierpinsky_precision", "Single").lower())
 
         self.sierpinsky_carpet_sprite = pyglet.sprite.Sprite(img=self.sierpinsky_carpet_image)
 
@@ -50,9 +50,8 @@ class SierpinskyCarpetViewer(arcade.gui.UIView):
     def create_image(self):
         with self.shader_program:
             self.shader_program['u_depth'] = self.depth
-            #self.shader_program['u_zoom'] = int(self.zoom)
+            self.shader_program['u_zoom'] = int(self.zoom)
-            #self.shader_program['u_resolution'] = self.window.size
+            self.shader_program['u_center'] = self.click_center
-            #self.shader_program['u_center'] = self.click_center
             self.shader_program.dispatch(self.sierpinsky_carpet_image.width, self.sierpinsky_carpet_image.height, 1, barrier=pyglet.gl.GL_ALL_BARRIER_BITS)
 
     def on_mouse_press(self, x: int, y: int, button: int, modifiers: int) -> bool | None:
@@ -73,7 +72,7 @@ class SierpinskyCarpetViewer(arcade.gui.UIView):
 
         self.create_image()
 
-        self.pypresence_client.update(state='Viewing Sierpinsky Carpet', details=f'Zoom: {self.zoom}\nMax Iterations: {self.depth}', start=self.pypresence_client.start_time)
+        self.pypresence_client.update(state='Viewing Sierpinsky Carpet', details=f'Zoom: {self.zoom}\nDepth: {self.depth}', start=self.pypresence_client.start_time)
 
     def on_draw(self):
         self.window.clear()

utils/constants.py

@@ -7,10 +7,17 @@ menu_background_color = (30, 30, 47)
 log_dir = 'logs'
 discord_presence_id = 1365949409254441000
 
-initial_real_min = -2.0
+mandelbrot_initial_real_min = -2.0
-initial_real_max = 1.0
+mandelbrot_initial_real_max = 1.0
-initial_imag_min = -1.0
+mandelbrot_initial_imag_min = -1.0
-initial_imag_max = 1.0
+mandelbrot_initial_imag_max = 1.0
+
+c_for_julia_type = {
+    "Classic swirling": (-0.7, 0.27015),
+    "Douady rabbit": (-0.123, 0.745),
+    "Nebula-style": (0.285, 0),
+    "Snowflake": (-0.8, 0.156)
+}
 
 button_style = {'normal': UITextureButtonStyle(font_name="Protest Strike", font_color=arcade.color.BLACK), 'hover': UITextureButtonStyle(font_name="Protest Strike", font_color=arcade.color.BLACK),
                 'press': UITextureButtonStyle(font_name="Protest Strike", font_color=arcade.color.BLACK), 'disabled': UITextureButtonStyle(font_name="Protest Strike", font_color=arcade.color.BLACK)}
@@ -32,9 +39,17 @@ settings = {
         "Max Iterations": {"type": "slider", "min": 100, "max": 10000, "config_key": "mandelbrot_max_iter", "default": 200}
     },
     "Sierpinsky Carpet": {
+        "Float Precision": {"type": "option", "options": ["Single", "Double"], "config_key": "sierpinsky_precision", "default": "Single"},
         "Zoom Increase Per Click": {"type": "slider", "min": 2, "max": 100, "config_key": "sierpinsky_zoom_increase", "default": 2},
         "Depth": {"type": "slider", "min": 2, "max": 10000, "config_key": "sierpinsky_depth", "default": 10}
     },
+    "Julia": {
+        "Type": {"type": "option", "options": ["Classic swirling", "Douady rabbit", "Nebula-style", "Snowflake"], "config_key": "julia_type", "default": "Classic swirling"},
+        "Float Precision": {"type": "option", "options": ["Single", "Double"], "config_key": "julia_precision", "default": "Single"},
+        "Escape Radius": {"type": "slider", "min": 1, "max": 10, "config_key": "julia_escape_radius", "default": 2},
+        "Zoom Increase Per Click": {"type": "slider", "min": 2, "max": 100, "config_key": "julia_zoom_increase", "default": 2},
+        "Max Iterations": {"type": "slider", "min": 100, "max": 10000, "config_key": "julia_max_iter", "default": 200}
+    },
     "Graphics": {
         "Window Mode": {"type": "option", "options": ["Windowed", "Fullscreen", "Borderless"], "config_key": "window_mode", "default": "Windowed"},
         "Resolution": {"type": "option", "options": ["1366x768", "1440x900", "1600x900", "1920x1080", "2560x1440", "3840x2160"], "config_key": "resolution"},