Use Roboto instead of Protest Strike, add Mandelbar, Multi Mandelbar, Phoenix and Lambda Fractal

CREDITS

@@ -1,3 +1,5 @@
+The Roboto Black font used in this project is licensed under the Open Font License. Read assets/fonts/OFL.txt for more information.
+
 Huge Thanks to Python for being the programming language used in this game.
 https://www.python.org/
 

README.md

@@ -1,3 +1,3 @@
 Fractal viewer in Python using compute shaders and the Arcade and Pyglet modules.
 
-Currently supports Julia, multi-Julia, Mandelbrot, Multibrot, Burning Ship, Newton Fractal and the Sierpinsky Carpet.
+Currently supports Julia, multi-Julia, Mandelbrot, Multibrot, Mandelbar, multi-Mandelbar, Phoenix Fractal, Lambda Fractal, Burning Ship, Newton Fractal and the Sierpinsky Carpet.

assets/fonts/OFL.txt

@@ -0,0 +1,93 @@
+Copyright 2011 The Roboto Project Authors (https://github.com/googlefonts/roboto-classic)
+
+This Font Software is licensed under the SIL Open Font License, Version 1.1.
+This license is copied below, and is also available with a FAQ at:
+https://openfontlicense.org
+
+
+-----------------------------------------------------------
+SIL OPEN FONT LICENSE Version 1.1 - 26 February 2007
+-----------------------------------------------------------
+
+PREAMBLE
+The goals of the Open Font License (OFL) are to stimulate worldwide
+development of collaborative font projects, to support the font creation
+efforts of academic and linguistic communities, and to provide a free and
+open framework in which fonts may be shared and improved in partnership
+with others.
+
+The OFL allows the licensed fonts to be used, studied, modified and
+redistributed freely as long as they are not sold by themselves. The
+fonts, including any derivative works, can be bundled, embedded, 
+redistributed and/or sold with any software provided that any reserved
+names are not used by derivative works. The fonts and derivatives,
+however, cannot be released under any other type of license. The
+requirement for fonts to remain under this license does not apply
+to any document created using the fonts or their derivatives.
+
+DEFINITIONS
+"Font Software" refers to the set of files released by the Copyright
+Holder(s) under this license and clearly marked as such. This may
+include source files, build scripts and documentation.
+
+"Reserved Font Name" refers to any names specified as such after the
+copyright statement(s).
+
+"Original Version" refers to the collection of Font Software components as
+distributed by the Copyright Holder(s).
+
+"Modified Version" refers to any derivative made by adding to, deleting,
+or substituting -- in part or in whole -- any of the components of the
+Original Version, by changing formats or by porting the Font Software to a
+new environment.
+
+"Author" refers to any designer, engineer, programmer, technical
+writer or other person who contributed to the Font Software.
+
+PERMISSION & CONDITIONS
+Permission is hereby granted, free of charge, to any person obtaining
+a copy of the Font Software, to use, study, copy, merge, embed, modify,
+redistribute, and sell modified and unmodified copies of the Font
+Software, subject to the following conditions:
+
+1) Neither the Font Software nor any of its individual components,
+in Original or Modified Versions, may be sold by itself.
+
+2) Original or Modified Versions of the Font Software may be bundled,
+redistributed and/or sold with any software, provided that each copy
+contains the above copyright notice and this license. These can be
+included either as stand-alone text files, human-readable headers or
+in the appropriate machine-readable metadata fields within text or
+binary files as long as those fields can be easily viewed by the user.
+
+3) No Modified Version of the Font Software may use the Reserved Font
+Name(s) unless explicit written permission is granted by the corresponding
+Copyright Holder. This restriction only applies to the primary font name as
+presented to the users.
+
+4) The name(s) of the Copyright Holder(s) or the Author(s) of the Font
+Software shall not be used to promote, endorse or advertise any
+Modified Version, except to acknowledge the contribution(s) of the
+Copyright Holder(s) and the Author(s) or with their explicit written
+permission.
+
+5) The Font Software, modified or unmodified, in part or in whole,
+must be distributed entirely under this license, and must not be
+distributed under any other license. The requirement for fonts to
+remain under this license does not apply to any document created
+using the Font Software.
+
+TERMINATION
+This license becomes null and void if any of the above conditions are
+not met.
+
+DISCLAIMER
+THE FONT SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO ANY WARRANTIES OF
+MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT
+OF COPYRIGHT, PATENT, TRADEMARK, OR OTHER RIGHT. IN NO EVENT SHALL THE
+COPYRIGHT HOLDER BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
+INCLUDING ANY GENERAL, SPECIAL, INDIRECT, INCIDENTAL, OR CONSEQUENTIAL
+DAMAGES, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+FROM, OUT OF THE USE OR INABILITY TO USE THE FONT SOFTWARE OR FROM
+OTHER DEALINGS IN THE FONT SOFTWARE.

game/iter_fractal_viewer.py

@@ -48,8 +48,8 @@ class IterFractalViewer(arcade.gui.UIView):
         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.zoom_label = self.info_box.add(arcade.gui.UILabel(text=f"Zoom: {self.zoom}", font_name="Roboto", font_size=16))
+        self.max_iter_label = self.info_box.add(arcade.gui.UILabel(text=f"Max Iterations: {self.max_iter}", font_name="Roboto", 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()

game/shader.py

@@ -166,6 +166,46 @@ multibrot_calc = """int calculate_iters(vec2 c) {{
 }}
 """
 
+mandelbar_calc = """int calculate_iters({vec2type} c) {{
+    int iters = 0;
+    {vec2type} z = {vec2type}(0.0, 0.0);
+    float R = {escape_radius};
+
+    while (dot(z, z) < R * R && iters < u_maxIter) {{
+        z = {vec2type}(
+            z.x * z.x - z.y * z.y + c.x,
+            -2.0 * z.x * z.y + c.y
+        );
+
+        iters++;
+    }}
+
+    return iters;
+}}
+"""
+
+multi_mandelbar_calc = """int calculate_iters(vec2 c) {{
+    int iters = 0;
+    vec2 z = vec2(0.0);
+    float n = {multi_n};
+    float R = {escape_radius};
+
+    while (dot(z, z) < R * R && iters < u_maxIter) {{
+        float r = length(z);
+        float theta = atan(-z.y, z.x);
+
+        float r_n = pow(r, n);
+        float theta_n = n * theta;
+
+        z = r_n * vec2(cos(theta_n), sin(theta_n)) + c;
+
+        iters++;
+    }}
+
+    return iters;
+}}
+"""
+
 burning_ship_calc = """int calculate_iters({vec2type} c) {{
     int iters = 0;
     {vec2type} z = {vec2type}(0.0, 0.0);
@@ -183,6 +223,54 @@ burning_ship_calc = """int calculate_iters({vec2type} c) {{
 }}
 """
 
+phoenix_fractal_calc = """int calculate_iters({vec2type} c) {{
+    int iters = 0;
+    {vec2type} z = {vec2type}(0.0, 0.0);
+    {vec2type} z_prev = {vec2type}(0.0, 0.0);
+    {floattype} p = 0.56667;
+    {floattype} R = {escape_radius};
+
+    while (dot(z, z) < R * R && iters < u_maxIter) {{
+        {vec2type} z_new = {vec2type}(
+            z.x * z.x - z.y * z.y + c.x - p * z_prev.x,
+            2.0 * z.x * z.y + c.y - p * z_prev.y
+        );
+
+        z_prev = z;
+        z = z_new;
+        iters++;
+    }}
+
+    return iters;
+}}
+"""
+
+lambda_fractal_calc = """int calculate_iters({vec2type} c) {{
+    int iters = 0;
+    {vec2type} z = {vec2type}(0.5, 0.0); // Try nonzero start
+    float R = {escape_radius};           // Try R = 2.0 if needed
+
+    while (dot(z, z) < R * R && iters < u_maxIter) {{
+        {vec2type} one_minus_z = {vec2type}(1.0, 1.0) - z;
+
+        {vec2type} temp = {vec2type}(
+            z.x * one_minus_z.x - z.y * one_minus_z.y,
+            z.x * one_minus_z.y + z.y * one_minus_z.x
+        );
+
+        z = {vec2type}(
+            c.x * temp.x - c.y * temp.y,
+            c.x * temp.y + c.y * temp.x
+        );
+
+        iters++;
+    }}
+
+    return iters;
+}}
+"""
+
+
 newton_fractal_calc = """vec2 cmul(vec2 a, vec2 b) {{
     return vec2(a.x * b.x - a.y * b.y, a.x * b.y + a.y * b.x);
 }}
@@ -269,6 +357,18 @@ def create_iter_calc_shader(fractal_type, width, height, precision="single", mul
         else:
             replacements["iter_calc_func"] = multibrot_calc.format_map(replacements)
 
+    elif fractal_type == "mandelbar":
+        if int(multi_n) == 2:
+            replacements["iter_calc_func"] = mandelbar_calc.format_map(replacements)
+        else:
+            replacements["iter_calc_func"] = multi_mandelbar_calc.format_map(replacements)
+
+    elif fractal_type == "phoenix_fractal":
+        replacements["iter_calc_func"] = phoenix_fractal_calc.format_map(replacements)
+
+    elif fractal_type == "lambda_fractal":
+        replacements["iter_calc_func"] = lambda_fractal_calc.format_map(replacements)
+
     elif fractal_type == "julia":
         if int(multi_n) == 2:
             replacements["iter_calc_func"] = normal_julia_calc.format_map(replacements)

game/sierpinsky_carpet.py

@@ -38,8 +38,8 @@ class SierpinskyCarpetViewer(arcade.gui.UIView):
         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.depth_label = self.info_box.add(arcade.gui.UILabel(text=f"Depth: {self.depth}", font_name="Protest Strike", font_size=16))
+        self.zoom_label = self.info_box.add(arcade.gui.UILabel(text=f"Zoom: {self.zoom}", font_name="Roboto", font_size=16))
+        self.depth_label = self.info_box.add(arcade.gui.UILabel(text=f"Depth: {self.depth}", font_name="Roboto", 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()

menus/fractal_chooser.py

@@ -15,10 +15,10 @@ class FractalChooser(arcade.gui.UIView):
 
         self.anchor = self.add_widget(arcade.gui.UIAnchorLayout(size_hint=(1, 1)))
 
-        self.grid = self.add_widget(arcade.gui.UIGridLayout(row_count=3, column_count=3, horizontal_spacing=10, vertical_spacing=10))
+        self.grid = self.add_widget(arcade.gui.UIGridLayout(row_count=4, column_count=3, horizontal_spacing=10, vertical_spacing=10))
         self.anchor.add(self.grid, anchor_x="center", anchor_y="center")
 
-        self.title_label = self.anchor.add(arcade.gui.UILabel(text="Choose a fractal to view.", font_name="Protest Strike", font_size=32), anchor_x="center", anchor_y="top", align_y=-50)
+        self.title_label = self.anchor.add(arcade.gui.UILabel(text="Choose a fractal to view.", font_name="Roboto", font_size=32), anchor_x="center", anchor_y="top", align_y=-50)
 
         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()
@@ -27,13 +27,13 @@ class FractalChooser(arcade.gui.UIView):
         for n, fractal_name in enumerate(iter_fractals):
             row = n // 3
             col = n % 3
-
             self.iter_fractal_buttons.append(self.grid.add(arcade.gui.UITextureButton(texture=button_texture, texture_hovered=button_hovered_texture, text=fractal_name.replace("_", " ").capitalize(), style=button_style, width=200, height=200), row=row, column=col))
-            self.mandelbrot_button.on_click = lambda event, fractal_name=fractal_name: self.iter_fractal(fractal_name)
+            self.iter_fractal_buttons[-1].on_click = lambda event, fractal_name=fractal_name: self.iter_fractal(fractal_name)
 
-        row = n // 3
-        col = n % 3
-        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=n + 1)
+        row = (n + 1) // 3
+        col = (n + 1) % 3
+
+        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=row, column=col)
         self.sierpinsky_carpet_button.on_click = lambda event: self.sierpinsky_carpet()
 
     def main_exit(self):

menus/main.py

@@ -50,7 +50,7 @@ class Main(arcade.gui.UIView):
     def on_show_view(self):
         super().on_show_view()
 
-        self.title_label = self.box.add(arcade.gui.UILabel(text="Fractal Viewer", font_name="Protest Strike", font_size=48))
+        self.title_label = self.box.add(arcade.gui.UILabel(text="Fractal Viewer", font_name="Roboto", font_size=48))
 
         self.play_button = self.box.add(arcade.gui.UITextureButton(text="Play", texture=button_texture, texture_hovered=button_hovered_texture, width=self.window.width / 2, height=150, style=big_button_style))
         self.play_button.on_click = lambda event: self.play()

menus/settings.py

@@ -58,7 +58,7 @@ class Settings(arcade.gui.UIView):
 
     def display_categories(self):
         for category in settings:
-            category_button = arcade.gui.UITextureButton(texture=button_texture, texture_hovered=button_hovered_texture, text=category, style=button_style, width=self.window.width / 10, height=50)
+            category_button = arcade.gui.UITextureButton(texture=button_texture, texture_hovered=button_hovered_texture, text=category, style=button_style, width=self.window.width / 13, height=50)
 
             if not category == "Credits":
                 category_button.on_click = lambda e, category=category: self.display_category(category)
@@ -82,7 +82,7 @@ class Settings(arcade.gui.UIView):
         self.value_layout.clear()
 
         for setting in settings[category]:
-            label = arcade.gui.UILabel(text=setting, font_name="Protest Strike", font_size=28, text_color=arcade.color.WHITE )
+            label = arcade.gui.UILabel(text=setting, font_name="Roboto", font_size=28, text_color=arcade.color.WHITE )
             self.key_layout.add(label)
 
             setting_dict = settings[category][setting]
@@ -261,7 +261,7 @@ class Settings(arcade.gui.UIView):
         else:
             font_size = 12
 
-        self.credits_label = arcade.gui.UILabel(text=text, text_color=arcade.color.WHITE, font_name="Protest Strike", font_size=font_size, align="center", multiline=True)
+        self.credits_label = arcade.gui.UILabel(text=text, text_color=arcade.color.WHITE, font_name="Roboto", font_size=font_size, align="center", multiline=True)
 
         self.key_layout.add(self.credits_label)
 

utils/constants.py

@@ -9,6 +9,9 @@ discord_presence_id = 1365949409254441000
 
 initial_real_imag = {
     "mandelbrot": (-2.0, 1.0, -1.0, 1.0),
+    "mandelbar": (-2.0, 1.0, -1.0, 1.0),
+    "phoenix_fractal": (-2.0, 1.0, -1.0, 1.0),
+    "lambda_fractal": (-2.0, 1.0, -1.0, 1.0),
     "burning_ship": (-2.0, 1.5, -2.0, 1.0),
     "newton_fractal": (-2.0, 2.0, -2.0, 2.0)
 }
@@ -20,15 +23,15 @@ c_for_julia_type = {
     "Snowflake": (-0.8, 0.156)
 }
 
-iter_fractals = ["mandelbrot", "julia", "burning_ship", "newton_fractal"]
+iter_fractals = ["mandelbrot", "mandelbar", "phoenix_fractal", "lambda_fractal", "julia", "burning_ship", "newton_fractal"]
 
-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)}
-big_button_style = {'normal': UITextureButtonStyle(font_name="Protest Strike", font_color=arcade.color.BLACK, font_size=26), 'hover': UITextureButtonStyle(font_name="Protest Strike", font_color=arcade.color.BLACK, font_size=26),
-                'press': UITextureButtonStyle(font_name="Protest Strike", font_color=arcade.color.BLACK, font_size=26), 'disabled': UITextureButtonStyle(font_name="Protest Strike", font_color=arcade.color.BLACK, font_size=26)}
+button_style = {'normal': UITextureButtonStyle(font_name="Roboto", font_color=arcade.color.BLACK), 'hover': UITextureButtonStyle(font_name="Roboto", font_color=arcade.color.BLACK),
+                'press': UITextureButtonStyle(font_name="Roboto", font_color=arcade.color.BLACK), 'disabled': UITextureButtonStyle(font_name="Roboto", font_color=arcade.color.BLACK)}
+big_button_style = {'normal': UITextureButtonStyle(font_name="Roboto", font_color=arcade.color.BLACK, font_size=26), 'hover': UITextureButtonStyle(font_name="Roboto", font_color=arcade.color.BLACK, font_size=26),
+                'press': UITextureButtonStyle(font_name="Roboto", font_color=arcade.color.BLACK, font_size=26), 'disabled': UITextureButtonStyle(font_name="Roboto", font_color=arcade.color.BLACK, font_size=26)}
 
-dropdown_style = {'normal': UIFlatButtonStyle(font_name="Protest Strike", font_color=arcade.color.BLACK, bg=Color(128, 128, 128)), 'hover': UIFlatButtonStyle(font_name="Protest Strike", font_color=arcade.color.BLACK, bg=Color(49, 154, 54)),
-                  'press': UIFlatButtonStyle(font_name="Protest Strike", font_color=arcade.color.BLACK, bg=Color(128, 128, 128)), 'disabled': UIFlatButtonStyle(font_name="Protest Strike", font_color=arcade.color.BLACK, bg=Color(128, 128, 128))}
+dropdown_style = {'normal': UIFlatButtonStyle(font_name="Roboto", font_color=arcade.color.BLACK, bg=Color(128, 128, 128)), 'hover': UIFlatButtonStyle(font_name="Roboto", font_color=arcade.color.BLACK, bg=Color(49, 154, 54)),
+                  'press': UIFlatButtonStyle(font_name="Roboto", font_color=arcade.color.BLACK, bg=Color(128, 128, 128)), 'disabled': UIFlatButtonStyle(font_name="Roboto", font_color=arcade.color.BLACK, bg=Color(128, 128, 128))}
 
 slider_default_style = UISliderStyle(bg=Color(128, 128, 128), unfilled_track=Color(128, 128, 128), filled_track=Color(49, 154, 54))
 slider_hover_style = UISliderStyle(bg=Color(49, 154, 54), unfilled_track=Color(128, 128, 128), filled_track=Color(49, 154, 54))
@@ -43,6 +46,25 @@ settings = {
         "Zoom Increase Per Click": {"type": "slider", "min": 2, "max": 100, "config_key": "mandelbrot_zoom_increase", "default": 2},
         "Max Iterations": {"type": "slider", "min": 100, "max": 10000, "config_key": "mandelbrot_max_iter", "default": 200, "step": 100}
     },
+    "Mandelbar": {
+        "Float Precision": {"type": "option", "options": ["Single", "Double"], "config_key": "mandelbar_precision", "default": "Single"},
+        "N": {"type": "slider", "min": 1, "max": 10, "config_key": "mandelbar_n", "default": 2, "step": 1},
+        "Escape Radius": {"type": "slider", "min": 1, "max": 10, "config_key": "mandelbar_escape_radius", "default": 2, "step": 0.1},
+        "Zoom Increase Per Click": {"type": "slider", "min": 2, "max": 100, "config_key": "mandelbar_zoom_increase", "default": 2},
+        "Max Iterations": {"type": "slider", "min": 100, "max": 10000, "config_key": "mandelbar_max_iter", "default": 200, "step": 100}
+    },
+    "Phoenix Fractal": {
+        "Float Precision": {"type": "option", "options": ["Single", "Double"], "config_key": "phoenix_fractal_precision", "default": "Single"},
+        "Escape Radius": {"type": "slider", "min": 1, "max": 10, "config_key": "phoenix_fractal_escape_radius", "default": 2, "step": 0.1},
+        "Zoom Increase Per Click": {"type": "slider", "min": 2, "max": 100, "config_key": "phoenix_fractal_zoom_increase", "default": 2},
+        "Max Iterations": {"type": "slider", "min": 100, "max": 10000, "config_key": "phoenix_fractal_max_iter", "default": 200, "step": 100}
+    },
+    "Lambda Fractal": {
+        "Float Precision": {"type": "option", "options": ["Single", "Double"], "config_key": "phoenix_fractal_precision", "default": "Single"},
+        "Escape Radius": {"type": "slider", "min": 1, "max": 10, "config_key": "phoenix_fractal_escape_radius", "default": 2, "step": 0.1},
+        "Zoom Increase Per Click": {"type": "slider", "min": 2, "max": 100, "config_key": "phoenix_fractal_zoom_increase", "default": 2},
+        "Max Iterations": {"type": "slider", "min": 100, "max": 10000, "config_key": "phoenix_fractal_max_iter", "default": 200, "step": 100}
+    },
     "Burning Ship": {
         "Float Precision": {"type": "option", "options": ["Single", "Double"], "config_key": "burning_ship_precision", "default": "Single"},
         "Escape Radius": {"type": "slider", "min": 1, "max": 10, "config_key": "burning_ship_escape_radius", "default": 2, "step": 0.1},