commit 08034bb71db50810f49076b64609304554c51fe0
Author: Daniel Snider <qtipkk@gmail.com>
Date:   Sun May 15 22:17:48 2022 -0700

    Initial commit

diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..4f48ad7
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,11 @@
+# Godot-specific ignores
+.import/
+export.cfg
+export_presets.cfg
+
+# Imported translations (automatically generated from CSV files)
+*.translation
+
+# Mono-specific ignores
+.mono/
+data_*/
diff --git a/Circle.gd b/Circle.gd
new file mode 100644
index 0000000..a1b654f
--- /dev/null
+++ b/Circle.gd
@@ -0,0 +1,116 @@
+extends Object
+
+const Set = preload("res://Set.gd")
+
+var position: Vector2
+var radius: float
+
+func _init(p_position: Vector2 = Vector2(), p_radius: float = 0.0):
+	position = p_position
+	radius = p_radius
+
+func contains_point(p: Vector2):
+	return position.distance_squared_to(p) <= radius * radius + 0.1
+
+func contains_all_points(ps: Array):
+	for p in ps:
+		if !contains_point(p):
+			return false
+	return true
+
+func circumscribe_two_points(a: Vector2, b: Vector2):
+	position = a.linear_interpolate(b, 0.5)
+	radius = a.distance_to(b) / 2.0
+
+func circumscribe_three_points(a: Vector2, b: Vector2, c: Vector2):
+	var bary_mat := [b - a, c - a]
+	var det = bary_mat[0].x * bary_mat[1].y - bary_mat[1].x * bary_mat[0].y
+	var area = 0.5 * det
+	
+	if area < 0.001:
+		position = a
+		radius = 0.0
+		return
+
+	position = Vector2(
+		a.x + 1.0 / (4.0 * area) * (bary_mat[1].y * a.distance_squared_to(b) - bary_mat[0].y * a.distance_squared_to(c)),
+		a.y + 1.0 / (4.0 * area) * (bary_mat[0].x * a.distance_squared_to(c) - bary_mat[1].x * a.distance_squared_to(b))
+	)
+	radius = position.distance_to(a)
+
+func circumscribe(points: Array):
+	var n = len(points)
+	assert(n > 1)
+
+	position = Vector2(0, 0)
+	radius = INF
+
+	if n == 2:
+		circumscribe_two_points(points[0], points[1])
+		return
+	elif n == 3:
+		circumscribe_three_points(points[0], points[1], points[2])
+		return
+
+	# Check every two points
+	for i in range(n):
+		for j in range(n):
+			if i == j: continue
+			var c = get_script().new()
+			c.circumscribe_two_points(points[i], points[j])
+			if c.radius < radius and c.contains_all_points(points):
+				position = c.position
+				radius = c.radius
+
+	# Check every three points
+	for i in range(n):
+		for j in range(n):
+			for k in range(n):
+				if i == j or j == k or i == k: continue
+				var c = get_script().new()
+				c.circumscribe_three_points(points[i], points[j], points[k])
+				if c.radius < radius and c.contains_all_points(points):
+					position = c.position
+					radius = c.radius
+
+func circumscribe2_internal(input: Set, support: Set):
+	var c = get_script().new()
+	if !input.empty():
+		var input_prime: Set = input.duplicate()
+		var p: Vector2 = input_prime.pop_random() # remove P from Input
+
+		c.circumscribe2_internal(input_prime, support);
+		if c.contains_point(p):
+			return c
+		else:
+			var support_prime = support.duplicate()
+			support_prime.add(p)
+
+			c.circumscribe2_internal(input_prime, support_prime)
+			return c
+	else:
+		var support_values = support.values()
+		if len(support_values) == 2:
+			c.circumscribe_two_points(support_values[0], support_values[1])
+		elif len(support_values) == 3:
+			c.circumscribe_three_points(support_values[0], support_values[1], support_values[2])
+		return c
+
+func circumscribe2(points: Array):
+	var n = len(points)
+	assert(n > 1)
+
+	if n == 2:
+		circumscribe_two_points(points[0], points[1])
+		return
+	elif n == 3:
+		circumscribe_three_points(points[0], points[1], points[2])
+		return
+	
+	var points_set = Set.new()
+	points_set.add_all(points)
+	var c = circumscribe2_internal(points_set, Set.new())
+	position = c.position
+	radius = c.radius
+
+
diff --git a/Global.gd b/Global.gd
new file mode 100644
index 0000000..cbde44d
--- /dev/null
+++ b/Global.gd
@@ -0,0 +1,18 @@
+extends Node
+
+
+# Declare member variables here. Examples:
+# var a = 2
+# var b = "text"
+
+
+# Called when the node enters the scene tree for the first time.
+func _init():
+	OS.set_window_position(
+		OS.get_screen_position(OS.get_current_screen()) + 
+		OS.get_screen_size()*0.5 - OS.get_window_size()*0.5)
+
+
+# Called every frame. 'delta' is the elapsed time since the previous frame.
+#func _process(delta):
+#	pass
diff --git a/Main.tscn b/Main.tscn
new file mode 100644
index 0000000..69e0e52
--- /dev/null
+++ b/Main.tscn
@@ -0,0 +1,28 @@
+[gd_scene load_steps=3 format=2]
+
+[ext_resource path="res://MinimumAreaCircle.gd" type="Script" id=1]
+[ext_resource path="res://Point.tscn" type="PackedScene" id=2]
+
+[node name="Main" type="Node2D"]
+
+[node name="Camera2D" type="Camera2D" parent="."]
+position = Vector2( 2, 2 )
+current = true
+
+[node name="MinimumAreaCircle" type="Node2D" parent="."]
+script = ExtResource( 1 )
+color = Color( 0.305882, 0.34902, 0.827451, 1 )
+
+[node name="Point" parent="MinimumAreaCircle" instance=ExtResource( 2 )]
+
+[node name="Point2" parent="MinimumAreaCircle" instance=ExtResource( 2 )]
+position = Vector2( -218, -131 )
+
+[node name="Point3" parent="MinimumAreaCircle" instance=ExtResource( 2 )]
+position = Vector2( -186, -51 )
+
+[node name="Point4" parent="MinimumAreaCircle" instance=ExtResource( 2 )]
+position = Vector2( -285, 34 )
+
+[node name="Point5" parent="MinimumAreaCircle" instance=ExtResource( 2 )]
+position = Vector2( -173, 87 )
diff --git a/MinimumAreaCircle.gd b/MinimumAreaCircle.gd
new file mode 100644
index 0000000..566fb03
--- /dev/null
+++ b/MinimumAreaCircle.gd
@@ -0,0 +1,24 @@
+extends Node2D
+
+const Circle = preload("res://Circle.gd")
+
+onready var circle: Circle = Circle.new()
+export var color: Color = Color.red
+
+var selected_idx = 0
+
+func _ready():
+	update_circle()
+	for child in get_children():
+		if child is CanvasItem:
+			child.connect("moved", self, "update_circle")
+
+func update_circle():
+	var ps = []
+	for child in get_children():
+		ps.append(child.position)
+	circle.circumscribe(ps)
+	update()
+
+func _draw():
+	draw_arc(circle.position, circle.radius, 0, TAU, 200, color, 2.0, true)
diff --git a/Point.gd b/Point.gd
new file mode 100644
index 0000000..6e50d2e
--- /dev/null
+++ b/Point.gd
@@ -0,0 +1,17 @@
+extends Node2D
+
+signal moved
+
+var dragging := false
+
+func _unhandled_input(event):
+	if event is InputEventMouseMotion and dragging and !event.has_meta("handled"):
+		position = get_viewport().canvas_transform.xform_inv(event.position)
+		emit_signal("moved")
+		event.set_meta("handled", true)
+	elif event.is_action_released("drag"):
+		dragging = false
+
+func _on_HitBox_input_event(viewport, event: InputEvent, shape_idx):
+	if event.is_action_pressed("drag"):
+		dragging = true
diff --git a/Point.tscn b/Point.tscn
new file mode 100644
index 0000000..c562a1a
--- /dev/null
+++ b/Point.tscn
@@ -0,0 +1,19 @@
+[gd_scene load_steps=4 format=2]
+
+[ext_resource path="res://point.png" type="Texture" id=1]
+[ext_resource path="res://Point.gd" type="Script" id=2]
+
+[sub_resource type="CircleShape2D" id=1]
+radius = 14.0
+
+[node name="Point" type="Sprite"]
+position = Vector2( -292, -74 )
+texture = ExtResource( 1 )
+script = ExtResource( 2 )
+
+[node name="HitBox" type="Area2D" parent="."]
+
+[node name="CollisionShape2D" type="CollisionShape2D" parent="HitBox"]
+shape = SubResource( 1 )
+
+[connection signal="input_event" from="HitBox" to="." method="_on_HitBox_input_event"]
diff --git a/Set.gd b/Set.gd
new file mode 100644
index 0000000..429c9b7
--- /dev/null
+++ b/Set.gd
@@ -0,0 +1,52 @@
+extends Object
+
+var _values: Dictionary
+
+func _init():
+	_values = Dictionary()
+
+func size() -> int:
+	return _values.size()
+
+func empty() -> bool:
+	return _values.size() == 0
+
+func add(value):
+	_values[value] = true
+
+func add_all(values):
+	for value in values:
+		add(value)
+
+func remove(value):
+	_values.erase(value)
+
+func remove_all(values):
+	for value in values:
+		remove(value)
+
+func get_random():
+	return _values.keys()[randi() % _values.size()]
+
+func pop_random():
+	assert(size() > 0)
+	var value = get_random()
+	remove(value)
+	return value
+
+func values() -> Array:
+	return _values.keys()
+
+func has(value) -> bool:
+	return _values.has(value)
+
+func has_all(values) -> bool:
+	return _values.has_all(values)
+
+func duplicate():
+	var new_set = get_script().new()
+	new_set._values = _values.duplicate()
+	return new_set
+
+func clear():
+	_values.clear()
diff --git a/default_env.tres b/default_env.tres
new file mode 100644
index 0000000..20207a4
--- /dev/null
+++ b/default_env.tres
@@ -0,0 +1,7 @@
+[gd_resource type="Environment" load_steps=2 format=2]
+
+[sub_resource type="ProceduralSky" id=1]
+
+[resource]
+background_mode = 2
+background_sky = SubResource( 1 )
diff --git a/icon.png b/icon.png
new file mode 100644
index 0000000..c98fbb6
Binary files /dev/null and b/icon.png differ
diff --git a/icon.png.import b/icon.png.import
new file mode 100644
index 0000000..a4c02e6
--- /dev/null
+++ b/icon.png.import
@@ -0,0 +1,35 @@
+[remap]
+
+importer="texture"
+type="StreamTexture"
+path="res://.import/icon.png-487276ed1e3a0c39cad0279d744ee560.stex"
+metadata={
+"vram_texture": false
+}
+
+[deps]
+
+source_file="res://icon.png"
+dest_files=[ "res://.import/icon.png-487276ed1e3a0c39cad0279d744ee560.stex" ]
+
+[params]
+
+compress/mode=0
+compress/lossy_quality=0.7
+compress/hdr_mode=0
+compress/bptc_ldr=0
+compress/normal_map=0
+flags/repeat=0
+flags/filter=true
+flags/mipmaps=false
+flags/anisotropic=false
+flags/srgb=2
+process/fix_alpha_border=true
+process/premult_alpha=false
+process/HDR_as_SRGB=false
+process/invert_color=false
+process/normal_map_invert_y=false
+stream=false
+size_limit=0
+detect_3d=true
+svg/scale=1.0
diff --git a/point.png b/point.png
new file mode 100644
index 0000000..a408280
Binary files /dev/null and b/point.png differ
diff --git a/point.png.import b/point.png.import
new file mode 100644
index 0000000..5c6e91d
--- /dev/null
+++ b/point.png.import
@@ -0,0 +1,35 @@
+[remap]
+
+importer="texture"
+type="StreamTexture"
+path="res://.import/point.png-85d91f0a7902375f86d31abcb57f3516.stex"
+metadata={
+"vram_texture": false
+}
+
+[deps]
+
+source_file="res://point.png"
+dest_files=[ "res://.import/point.png-85d91f0a7902375f86d31abcb57f3516.stex" ]
+
+[params]
+
+compress/mode=0
+compress/lossy_quality=0.7
+compress/hdr_mode=0
+compress/bptc_ldr=0
+compress/normal_map=0
+flags/repeat=0
+flags/filter=true
+flags/mipmaps=false
+flags/anisotropic=false
+flags/srgb=2
+process/fix_alpha_border=true
+process/premult_alpha=false
+process/HDR_as_SRGB=false
+process/invert_color=false
+process/normal_map_invert_y=false
+stream=false
+size_limit=0
+detect_3d=true
+svg/scale=1.0
diff --git a/project.godot b/project.godot
new file mode 100644
index 0000000..b755142
--- /dev/null
+++ b/project.godot
@@ -0,0 +1,64 @@
+; Engine configuration file.
+; It's best edited using the editor UI and not directly,
+; since the parameters that go here are not all obvious.
+;
+; Format:
+;   [section] ; section goes between []
+;   param=value ; assign values to parameters
+
+config_version=4
+
+[application]
+
+config/name="minareacircle"
+run/main_scene="res://Main.tscn"
+config/icon="res://icon.png"
+
+[autoload]
+
+Global="*res://Global.gd"
+
+[input]
+
+ui_left={
+"deadzone": 0.5,
+"events": [ Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":0,"alt":false,"shift":false,"control":false,"meta":false,"command":false,"pressed":false,"scancode":16777231,"physical_scancode":0,"unicode":0,"echo":false,"script":null)
+, Object(InputEventJoypadButton,"resource_local_to_scene":false,"resource_name":"","device":0,"button_index":14,"pressure":0.0,"pressed":false,"script":null)
+, Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":0,"alt":false,"shift":false,"control":false,"meta":false,"command":false,"pressed":false,"scancode":0,"physical_scancode":65,"unicode":0,"echo":false,"script":null)
+ ]
+}
+ui_right={
+"deadzone": 0.5,
+"events": [ Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":0,"alt":false,"shift":false,"control":false,"meta":false,"command":false,"pressed":false,"scancode":16777233,"physical_scancode":0,"unicode":0,"echo":false,"script":null)
+, Object(InputEventJoypadButton,"resource_local_to_scene":false,"resource_name":"","device":0,"button_index":15,"pressure":0.0,"pressed":false,"script":null)
+, Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":0,"alt":false,"shift":false,"control":false,"meta":false,"command":false,"pressed":false,"scancode":0,"physical_scancode":68,"unicode":0,"echo":false,"script":null)
+ ]
+}
+ui_up={
+"deadzone": 0.5,
+"events": [ Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":0,"alt":false,"shift":false,"control":false,"meta":false,"command":false,"pressed":false,"scancode":16777232,"physical_scancode":0,"unicode":0,"echo":false,"script":null)
+, Object(InputEventJoypadButton,"resource_local_to_scene":false,"resource_name":"","device":0,"button_index":12,"pressure":0.0,"pressed":false,"script":null)
+, Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":0,"alt":false,"shift":false,"control":false,"meta":false,"command":false,"pressed":false,"scancode":0,"physical_scancode":87,"unicode":0,"echo":false,"script":null)
+ ]
+}
+ui_down={
+"deadzone": 0.5,
+"events": [ Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":0,"alt":false,"shift":false,"control":false,"meta":false,"command":false,"pressed":false,"scancode":16777234,"physical_scancode":0,"unicode":0,"echo":false,"script":null)
+, Object(InputEventJoypadButton,"resource_local_to_scene":false,"resource_name":"","device":0,"button_index":13,"pressure":0.0,"pressed":false,"script":null)
+, Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":0,"alt":false,"shift":false,"control":false,"meta":false,"command":false,"pressed":false,"scancode":0,"physical_scancode":83,"unicode":0,"echo":false,"script":null)
+ ]
+}
+drag={
+"deadzone": 0.5,
+"events": [ Object(InputEventMouseButton,"resource_local_to_scene":false,"resource_name":"","device":0,"alt":false,"shift":false,"control":false,"meta":false,"command":false,"button_mask":0,"position":Vector2( 0, 0 ),"global_position":Vector2( 0, 0 ),"factor":1.0,"button_index":1,"pressed":false,"doubleclick":false,"script":null)
+ ]
+}
+
+[physics]
+
+common/enable_pause_aware_picking=true
+
+[rendering]
+
+quality/depth/hdr=false
+environment/default_environment="res://default_env.tres"