diff --git a/design/func_call/hrange_delayed_start.sv b/design/func_call/hrange_delayed_start.sv
index 739e7aa8..5991f637 100644
--- a/design/func_call/hrange_delayed_start.sv
+++ b/design/func_call/hrange_delayed_start.sv
@@ -28,6 +28,9 @@ module hrange (
             _state <= _statelmaoready;
         end
 
+        // if (_valid && _wait)
+        //     continue;
+
         if (_start) begin
             _base <= base;
             _limit <= limit;
diff --git a/design/func_call/reuleaux_triangle.ipynb b/design/func_call/reuleaux_triangle.ipynb
new file mode 100644
index 00000000..3d08ffbe
--- /dev/null
+++ b/design/func_call/reuleaux_triangle.ipynb
@@ -0,0 +1,258 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Agent pid 210020\n",
+      "Identity added: /home/kerrwang/.ssh/id_ed25519 (Kerry.Wang@amd.com)\n",
+      "Defaulting to user installation because normal site-packages is not writeable\n",
+      "Requirement already satisfied: pip in /home/kerrwang/.local/lib/python3.10/site-packages (23.2.1)\n",
+      "Note: you may need to restart the kernel to use updated packages.\n",
+      "Agent pid 210035\n",
+      "Identity added: /home/kerrwang/.ssh/id_ed25519 (Kerry.Wang@amd.com)\n",
+      "Defaulting to user installation because normal site-packages is not writeable\n",
+      "Requirement already satisfied: python2verilog==0.1.9 in /home/kerrwang/.local/lib/python3.10/site-packages (0.1.9)\n",
+      "Note: you may need to restart the kernel to use updated packages.\n"
+     ]
+    }
+   ],
+   "source": [
+    "%pip install --upgrade pip\n",
+    "%pip install python2verilog==0.1.9"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import matplotlib.pyplot as plt\n",
+    "import random\n",
+    "import numpy as np\n",
+    "from typing import Optional\n",
+    "from python2verilog import verilogify, context_to_text_and_file"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def make_visual(generator_inst, directory: Optional[str] = None):\n",
+    "    \"\"\"\n",
+    "    Any iterable of tuples where the tuples are of length > 0 will work.\n",
+    "    Visualizes the first 3 elements of each tuple as (x, y, colour)\n",
+    "    \"\"\"\n",
+    "\n",
+    "    # Generate the data using the generator function\n",
+    "    data_triple_list = []\n",
+    "\n",
+    "    for idx, yields in enumerate(generator_inst):\n",
+    "        if isinstance(yields, int):\n",
+    "            yields = (yields,)\n",
+    "        if len(yields) >= 3:\n",
+    "            data_triple_list.append(yields[:3])\n",
+    "        elif len(yields) >= 2:\n",
+    "            data_triple_list.append((*yields[:2], 1))\n",
+    "        else:\n",
+    "            data_triple_list.append((yields[0], idx, 1))\n",
+    "\n",
+    "    data_triple = np.array(data_triple_list)\n",
+    "\n",
+    "    try:\n",
+    "        height = max(data_triple[:, 0])\n",
+    "        width = max(data_triple[:, 1])\n",
+    "        grid = np.zeros((int(height) + 1, int(width) + 1))\n",
+    "        for x_coord, y_coord, colour in data_triple:\n",
+    "            grid[x_coord, y_coord] = colour\n",
+    "\n",
+    "        # Create the pixel-like plot\n",
+    "        plt.imshow(grid)\n",
+    "\n",
+    "        # Set labels and title\n",
+    "        plt.xlabel(\"X\")\n",
+    "        plt.ylabel(\"Y\")\n",
+    "        plt.title(\"Pixel-like Plot\")\n",
+    "\n",
+    "        # Add color bar\n",
+    "        cbar = plt.colorbar()\n",
+    "        cbar.set_label(\"Z\")\n",
+    "\n",
+    "        plt.gca().invert_yaxis()\n",
+    "\n",
+    "        # Show the plot\n",
+    "        plt.show()\n",
+    "        if directory: \n",
+    "            plt.savefig(directory)\n",
+    "\n",
+    "        plt.clf()\n",
+    "        plt.cla()\n",
+    "        plt.close()\n",
+    "        \n",
+    "    except IndexError as e:\n",
+    "        print(\n",
+    "            f\"Skipping make_visual for {str(generator_inst)} due to negative outputs {e}\",\n",
+    "        )"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "x: 41, y: 96, radius: 30\n",
+      "(86, 105)\n",
+      "[(56, 105), (26, 135), (-4, 105), (26, 135), (-4, 105), (26, 75), (56, 105), (26, 75), (56, 106), (27, 135), (-4, 106), (25, 135), (-4, 104), (25, 75), (56, 104), (27, 75), (56, 107), (28, 135), (-4, 107), (24, 135), (-4, 103), (24, 75), (56, 103), (28, 75), (56, 108), (29, 135), (-4, 108), (23, 135), (-4, 102), (23, 75), (56, 102), (29, 75), (56, 109), (30, 135), (-4, 109), (22, 135), (-4, 101), (22, 75), (56, 101), (30, 75), (56, 110), (31, 135), (-4, 110), (21, 135), (-4, 100), (21, 75), (56, 100), (31, 75), (55, 111), (32, 134), (-3, 111), (20, 134), (-3, 99), (20, 76), (55, 99), (32, 76), (55, 112), (33, 134), (-3, 112), (19, 134), (-3, 98), (19, 76), (55, 98), (33, 76), (55, 113), (34, 134), (-3, 113), (18, 134), (-3, 97), (18, 76), (55, 97), (34, 76), (55, 114), (35, 134), (-3, 114), (17, 134), (-3, 96), (17, 76), (55, 96), (35, 76), (54, 115), (36, 133), (-2, 115), (16, 133), (-2, 95), (16, 77), (54, 95), (36, 77), (54, 116), (37, 133), (-2, 116), (15, 133), (-2, 94), (15, 77), (54, 94), (37, 77), (54, 117), (38, 133), (-2, 117), (14, 133), (-2, 93), (14, 77), (54, 93), (38, 77), (53, 118), (39, 132), (-1, 118), (13, 132), (-1, 92), (13, 78), (53, 92), (39, 78), (53, 119), (40, 132), (-1, 119), (12, 132), (-1, 91), (12, 78), (53, 91), (40, 78), (52, 120), (41, 131), (0, 120), (11, 131), (0, 90), (11, 79), (52, 90), (41, 79), (51, 121), (42, 130), (1, 121), (10, 130), (1, 89), (10, 80), (51, 89), (42, 80), (51, 122), (43, 130), (1, 122), (9, 130), (1, 88), (9, 80), (51, 88), (43, 80), (50, 123), (44, 129), (2, 123), (8, 129), (2, 87), (8, 81), (50, 87), (44, 81), (49, 124), (45, 128), (3, 124), (7, 128), (3, 86), (7, 82), (49, 86), (45, 82), (48, 125), (46, 127), (4, 125), (6, 127), (4, 85), (6, 83), (48, 85), (46, 83), (47, 126), (47, 126), (5, 126), (5, 126), (5, 84), (5, 84), (47, 84), (47, 84), (71, 87), (41, 117), (11, 87), (41, 117), (11, 87), (41, 57), (71, 87), (41, 57), (71, 88), (42, 117), (11, 88), (40, 117), (11, 86), (40, 57), (71, 86), (42, 57), (71, 89), (43, 117), (11, 89), (39, 117), (11, 85), (39, 57), (71, 85), (43, 57), (71, 90), (44, 117), (11, 90), (38, 117), (11, 84), (38, 57), (71, 84), (44, 57), (71, 91), (45, 117), (11, 91), (37, 117), (11, 83), (37, 57), (71, 83), (45, 57), (71, 92), (46, 117), (11, 92), (36, 117), (11, 82), (36, 57), (71, 82), (46, 57), (70, 93), (47, 116), (12, 93), (35, 116), (12, 81), (35, 58), (70, 81), (47, 58), (70, 94), (48, 116), (12, 94), (34, 116), (12, 80), (34, 58), (70, 80), (48, 58), (70, 95), (49, 116), (12, 95), (33, 116), (12, 79), (33, 58), (70, 79), (49, 58), (70, 96), (50, 116), (12, 96), (32, 116), (12, 78), (32, 58), (70, 78), (50, 58), (69, 97), (51, 115), (13, 97), (31, 115), (13, 77), (31, 59), (69, 77), (51, 59), (69, 98), (52, 115), (13, 98), (30, 115), (13, 76), (30, 59), (69, 76), (52, 59), (69, 99), (53, 115), (13, 99), (29, 115), (13, 75), (29, 59), (69, 75), (53, 59), (68, 100), (54, 114), (14, 100), (28, 114), (14, 74), (28, 60), (68, 74), (54, 60), (68, 101), (55, 114), (14, 101), (27, 114), (14, 73), (27, 60), (68, 73), (55, 60), (67, 102), (56, 113), (15, 102), (26, 113), (15, 72), (26, 61), (67, 72), (56, 61), (66, 103), (57, 112), (16, 103), (25, 112), (16, 71), (25, 62), (66, 71), (57, 62), (66, 104), (58, 112), (16, 104), (24, 112), (16, 70), (24, 62), (66, 70), (58, 62), (65, 105), (59, 111), (17, 105), (23, 111), (17, 69), (23, 63), (65, 69), (59, 63), (64, 106), (60, 110), (18, 106), (22, 110), (18, 68), (22, 64), (64, 68), (60, 64), (63, 107), (61, 109), (19, 107), (21, 109), (19, 67), (21, 65), (63, 67), (61, 65), (62, 108), (62, 108), (20, 108), (20, 108), (20, 66), (20, 66), (62, 66), (62, 66), (56, 135), (26, 105), (56, 135), (26, 105), (56, 75), (86, 105), (56, 75), (86, 106), (57, 135), (26, 106), (55, 135), (26, 104), (55, 75), (86, 104), (57, 75), (86, 107), (58, 135), (26, 107), (54, 135), (26, 103), (54, 75), (86, 103), (58, 75), (86, 108), (59, 135), (26, 108), (53, 135), (26, 102), (53, 75), (86, 102), (59, 75), (86, 109), (60, 135), (26, 109), (52, 135), (26, 101), (52, 75), (86, 101), (60, 75), (86, 110), (61, 135), (26, 110), (51, 135), (26, 100), (51, 75), (86, 100), (61, 75), (85, 111), (62, 134), (27, 111), (50, 134), (27, 99), (50, 76), (85, 99), (62, 76), (85, 112), (63, 134), (27, 112), (49, 134), (27, 98), (49, 76), (85, 98), (63, 76), (85, 113), (64, 134), (27, 113), (48, 134), (27, 97), (48, 76), (85, 97), (64, 76), (85, 114), (65, 134), (27, 114), (47, 134), (27, 96), (47, 76), (85, 96), (65, 76), (84, 115), (66, 133), (28, 115), (46, 133), (28, 95), (46, 77), (84, 95), (66, 77), (84, 116), (67, 133), (28, 116), (45, 133), (28, 94), (45, 77), (84, 94), (67, 77), (84, 117), (68, 133), (28, 117), (44, 133), (28, 93), (44, 77), (84, 93), (68, 77), (83, 118), (69, 132), (29, 118), (43, 132), (29, 92), (43, 78), (83, 92), (69, 78), (83, 119), (70, 132), (29, 119), (42, 132), (29, 91), (42, 78), (83, 91), (70, 78), (82, 120), (71, 131), (30, 120), (41, 131), (30, 90), (41, 79), (82, 90), (71, 79), (81, 121), (72, 130), (31, 121), (40, 130), (31, 89), (40, 80), (81, 89), (72, 80), (81, 122), (73, 130), (31, 122), (39, 130), (31, 88), (39, 80), (81, 88), (73, 80), (80, 123), (74, 129), (32, 123), (38, 129), (32, 87), (38, 81), (80, 87), (74, 81), (79, 124), (75, 128), (33, 124), (37, 128), (33, 86), (37, 82), (79, 86), (75, 82), (78, 125), (76, 127), (34, 125), (36, 127), (34, 85), (36, 83), (78, 85), (76, 83), (77, 126), (77, 126), (35, 126), (35, 126), (35, 84), (35, 84), (77, 84), (77, 84)]\n",
+      "(86, 105)\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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",
+      "text/plain": [
+       "<Figure size 640x480 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "x: 61, y: 82, radius: 30\n",
+      "(106, 91)\n",
+      "[(76, 91), (46, 121), (16, 91), (46, 121), (16, 91), (46, 61), (76, 91), (46, 61), (76, 92), (47, 121), (16, 92), (45, 121), (16, 90), (45, 61), (76, 90), (47, 61), (76, 93), (48, 121), (16, 93), (44, 121), (16, 89), (44, 61), (76, 89), (48, 61), (76, 94), (49, 121), (16, 94), (43, 121), (16, 88), (43, 61), (76, 88), (49, 61), (76, 95), (50, 121), (16, 95), (42, 121), (16, 87), (42, 61), (76, 87), (50, 61), (76, 96), (51, 121), (16, 96), (41, 121), (16, 86), (41, 61), (76, 86), (51, 61), (75, 97), (52, 120), (17, 97), (40, 120), (17, 85), (40, 62), (75, 85), (52, 62), (75, 98), (53, 120), (17, 98), (39, 120), (17, 84), (39, 62), (75, 84), (53, 62), (75, 99), (54, 120), (17, 99), (38, 120), (17, 83), (38, 62), (75, 83), (54, 62), (75, 100), (55, 120), (17, 100), (37, 120), (17, 82), (37, 62), (75, 82), (55, 62), (74, 101), (56, 119), (18, 101), (36, 119), (18, 81), (36, 63), (74, 81), (56, 63), (74, 102), (57, 119), (18, 102), (35, 119), (18, 80), (35, 63), (74, 80), (57, 63), (74, 103), (58, 119), (18, 103), (34, 119), (18, 79), (34, 63), (74, 79), (58, 63), (73, 104), (59, 118), (19, 104), (33, 118), (19, 78), (33, 64), (73, 78), (59, 64), (73, 105), (60, 118), (19, 105), (32, 118), (19, 77), (32, 64), (73, 77), (60, 64), (72, 106), (61, 117), (20, 106), (31, 117), (20, 76), (31, 65), (72, 76), (61, 65), (71, 107), (62, 116), (21, 107), (30, 116), (21, 75), (30, 66), (71, 75), (62, 66), (71, 108), (63, 116), (21, 108), (29, 116), (21, 74), (29, 66), (71, 74), (63, 66), (70, 109), (64, 115), (22, 109), (28, 115), (22, 73), (28, 67), (70, 73), (64, 67), (69, 110), (65, 114), (23, 110), (27, 114), (23, 72), (27, 68), (69, 72), (65, 68), (68, 111), (66, 113), (24, 111), (26, 113), (24, 71), (26, 69), (68, 71), (66, 69), (67, 112), (67, 112), (25, 112), (25, 112), (25, 70), (25, 70), (67, 70), (67, 70), (91, 73), (61, 103), (31, 73), (61, 103), (31, 73), (61, 43), (91, 73), (61, 43), (91, 74), (62, 103), (31, 74), (60, 103), (31, 72), (60, 43), (91, 72), (62, 43), (91, 75), (63, 103), (31, 75), (59, 103), (31, 71), (59, 43), (91, 71), (63, 43), (91, 76), (64, 103), (31, 76), (58, 103), (31, 70), (58, 43), (91, 70), (64, 43), (91, 77), (65, 103), (31, 77), (57, 103), (31, 69), (57, 43), (91, 69), (65, 43), (91, 78), (66, 103), (31, 78), (56, 103), (31, 68), (56, 43), (91, 68), (66, 43), (90, 79), (67, 102), (32, 79), (55, 102), (32, 67), (55, 44), (90, 67), (67, 44), (90, 80), (68, 102), (32, 80), (54, 102), (32, 66), (54, 44), (90, 66), (68, 44), (90, 81), (69, 102), (32, 81), (53, 102), (32, 65), (53, 44), (90, 65), (69, 44), (90, 82), (70, 102), (32, 82), (52, 102), (32, 64), (52, 44), (90, 64), (70, 44), (89, 83), (71, 101), (33, 83), (51, 101), (33, 63), (51, 45), (89, 63), (71, 45), (89, 84), (72, 101), (33, 84), (50, 101), (33, 62), (50, 45), (89, 62), (72, 45), (89, 85), (73, 101), (33, 85), (49, 101), (33, 61), (49, 45), (89, 61), (73, 45), (88, 86), (74, 100), (34, 86), (48, 100), (34, 60), (48, 46), (88, 60), (74, 46), (88, 87), (75, 100), (34, 87), (47, 100), (34, 59), (47, 46), (88, 59), (75, 46), (87, 88), (76, 99), (35, 88), (46, 99), (35, 58), (46, 47), (87, 58), (76, 47), (86, 89), (77, 98), (36, 89), (45, 98), (36, 57), (45, 48), (86, 57), (77, 48), (86, 90), (78, 98), (36, 90), (44, 98), (36, 56), (44, 48), (86, 56), (78, 48), (85, 91), (79, 97), (37, 91), (43, 97), (37, 55), (43, 49), (85, 55), (79, 49), (84, 92), (80, 96), (38, 92), (42, 96), (38, 54), (42, 50), (84, 54), (80, 50), (83, 93), (81, 95), (39, 93), (41, 95), (39, 53), (41, 51), (83, 53), (81, 51), (82, 94), (82, 94), (40, 94), (40, 94), (40, 52), (40, 52), (82, 52), (82, 52), (76, 121), (46, 91), (76, 121), (46, 91), (76, 61), (106, 91), (76, 61), (106, 92), (77, 121), (46, 92), (75, 121), (46, 90), (75, 61), (106, 90), (77, 61), (106, 93), (78, 121), (46, 93), (74, 121), (46, 89), (74, 61), (106, 89), (78, 61), (106, 94), (79, 121), (46, 94), (73, 121), (46, 88), (73, 61), (106, 88), (79, 61), (106, 95), (80, 121), (46, 95), (72, 121), (46, 87), (72, 61), (106, 87), (80, 61), (106, 96), (81, 121), (46, 96), (71, 121), (46, 86), (71, 61), (106, 86), (81, 61), (105, 97), (82, 120), (47, 97), (70, 120), (47, 85), (70, 62), (105, 85), (82, 62), (105, 98), (83, 120), (47, 98), (69, 120), (47, 84), (69, 62), (105, 84), (83, 62), (105, 99), (84, 120), (47, 99), (68, 120), (47, 83), (68, 62), (105, 83), (84, 62), (105, 100), (85, 120), (47, 100), (67, 120), (47, 82), (67, 62), (105, 82), (85, 62), (104, 101), (86, 119), (48, 101), (66, 119), (48, 81), (66, 63), (104, 81), (86, 63), (104, 102), (87, 119), (48, 102), (65, 119), (48, 80), (65, 63), (104, 80), (87, 63), (104, 103), (88, 119), (48, 103), (64, 119), (48, 79), (64, 63), (104, 79), (88, 63), (103, 104), (89, 118), (49, 104), (63, 118), (49, 78), (63, 64), (103, 78), (89, 64), (103, 105), (90, 118), (49, 105), (62, 118), (49, 77), (62, 64), (103, 77), (90, 64), (102, 106), (91, 117), (50, 106), (61, 117), (50, 76), (61, 65), (102, 76), (91, 65), (101, 107), (92, 116), (51, 107), (60, 116), (51, 75), (60, 66), (101, 75), (92, 66), (101, 108), (93, 116), (51, 108), (59, 116), (51, 74), (59, 66), (101, 74), (93, 66), (100, 109), (94, 115), (52, 109), (58, 115), (52, 73), (58, 67), (100, 73), (94, 67), (99, 110), (95, 114), (53, 110), (57, 114), (53, 72), (57, 68), (99, 72), (95, 68), (98, 111), (96, 113), (54, 111), (56, 113), (54, 71), (56, 69), (98, 71), (96, 69), (97, 112), (97, 112), (55, 112), (55, 112), (55, 70), (55, 70), (97, 70), (97, 70)]\n",
+      "(106, 91)\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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",
+      "text/plain": [
+       "<Figure size 640x480 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "x: 75, y: 76, radius: 30\n",
+      "(120, 85)\n",
+      "[(90, 85), (60, 115), (30, 85), (60, 115), (30, 85), (60, 55), (90, 85), (60, 55), (90, 86), (61, 115), (30, 86), (59, 115), (30, 84), (59, 55), (90, 84), (61, 55), (90, 87), (62, 115), (30, 87), (58, 115), (30, 83), (58, 55), (90, 83), (62, 55), (90, 88), (63, 115), (30, 88), (57, 115), (30, 82), (57, 55), (90, 82), (63, 55), (90, 89), (64, 115), (30, 89), (56, 115), (30, 81), (56, 55), (90, 81), (64, 55), (90, 90), (65, 115), (30, 90), (55, 115), (30, 80), (55, 55), (90, 80), (65, 55), (89, 91), (66, 114), (31, 91), (54, 114), (31, 79), (54, 56), (89, 79), (66, 56), (89, 92), (67, 114), (31, 92), (53, 114), (31, 78), (53, 56), (89, 78), (67, 56), (89, 93), (68, 114), (31, 93), (52, 114), (31, 77), (52, 56), (89, 77), (68, 56), (89, 94), (69, 114), (31, 94), (51, 114), (31, 76), (51, 56), (89, 76), (69, 56), (88, 95), (70, 113), (32, 95), (50, 113), (32, 75), (50, 57), (88, 75), (70, 57), (88, 96), (71, 113), (32, 96), (49, 113), (32, 74), (49, 57), (88, 74), (71, 57), (88, 97), (72, 113), (32, 97), (48, 113), (32, 73), (48, 57), (88, 73), (72, 57), (87, 98), (73, 112), (33, 98), (47, 112), (33, 72), (47, 58), (87, 72), (73, 58), (87, 99), (74, 112), (33, 99), (46, 112), (33, 71), (46, 58), (87, 71), (74, 58), (86, 100), (75, 111), (34, 100), (45, 111), (34, 70), (45, 59), (86, 70), (75, 59), (85, 101), (76, 110), (35, 101), (44, 110), (35, 69), (44, 60), (85, 69), (76, 60), (85, 102), (77, 110), (35, 102), (43, 110), (35, 68), (43, 60), (85, 68), (77, 60), (84, 103), (78, 109), (36, 103), (42, 109), (36, 67), (42, 61), (84, 67), (78, 61), (83, 104), (79, 108), (37, 104), (41, 108), (37, 66), (41, 62), (83, 66), (79, 62), (82, 105), (80, 107), (38, 105), (40, 107), (38, 65), (40, 63), (82, 65), (80, 63), (81, 106), (81, 106), (39, 106), (39, 106), (39, 64), (39, 64), (81, 64), (81, 64), (105, 67), (75, 97), (45, 67), (75, 97), (45, 67), (75, 37), (105, 67), (75, 37), (105, 68), (76, 97), (45, 68), (74, 97), (45, 66), (74, 37), (105, 66), (76, 37), (105, 69), (77, 97), (45, 69), (73, 97), (45, 65), (73, 37), (105, 65), (77, 37), (105, 70), (78, 97), (45, 70), (72, 97), (45, 64), (72, 37), (105, 64), (78, 37), (105, 71), (79, 97), (45, 71), (71, 97), (45, 63), (71, 37), (105, 63), (79, 37), (105, 72), (80, 97), (45, 72), (70, 97), (45, 62), (70, 37), (105, 62), (80, 37), (104, 73), (81, 96), (46, 73), (69, 96), (46, 61), (69, 38), (104, 61), (81, 38), (104, 74), (82, 96), (46, 74), (68, 96), (46, 60), (68, 38), (104, 60), (82, 38), (104, 75), (83, 96), (46, 75), (67, 96), (46, 59), (67, 38), (104, 59), (83, 38), (104, 76), (84, 96), (46, 76), (66, 96), (46, 58), (66, 38), (104, 58), (84, 38), (103, 77), (85, 95), (47, 77), (65, 95), (47, 57), (65, 39), (103, 57), (85, 39), (103, 78), (86, 95), (47, 78), (64, 95), (47, 56), (64, 39), (103, 56), (86, 39), (103, 79), (87, 95), (47, 79), (63, 95), (47, 55), (63, 39), (103, 55), (87, 39), (102, 80), (88, 94), (48, 80), (62, 94), (48, 54), (62, 40), (102, 54), (88, 40), (102, 81), (89, 94), (48, 81), (61, 94), (48, 53), (61, 40), (102, 53), (89, 40), (101, 82), (90, 93), (49, 82), (60, 93), (49, 52), (60, 41), (101, 52), (90, 41), (100, 83), (91, 92), (50, 83), (59, 92), (50, 51), (59, 42), (100, 51), (91, 42), (100, 84), (92, 92), (50, 84), (58, 92), (50, 50), (58, 42), (100, 50), (92, 42), (99, 85), (93, 91), (51, 85), (57, 91), (51, 49), (57, 43), (99, 49), (93, 43), (98, 86), (94, 90), (52, 86), (56, 90), (52, 48), (56, 44), (98, 48), (94, 44), (97, 87), (95, 89), (53, 87), (55, 89), (53, 47), (55, 45), (97, 47), (95, 45), (96, 88), (96, 88), (54, 88), (54, 88), (54, 46), (54, 46), (96, 46), (96, 46), (90, 115), (60, 85), (90, 115), (60, 85), (90, 55), (120, 85), (90, 55), (120, 86), (91, 115), (60, 86), (89, 115), (60, 84), (89, 55), (120, 84), (91, 55), (120, 87), (92, 115), (60, 87), (88, 115), (60, 83), (88, 55), (120, 83), (92, 55), (120, 88), (93, 115), (60, 88), (87, 115), (60, 82), (87, 55), (120, 82), (93, 55), (120, 89), (94, 115), (60, 89), (86, 115), (60, 81), (86, 55), (120, 81), (94, 55), (120, 90), (95, 115), (60, 90), (85, 115), (60, 80), (85, 55), (120, 80), (95, 55), (119, 91), (96, 114), (61, 91), (84, 114), (61, 79), (84, 56), (119, 79), (96, 56), (119, 92), (97, 114), (61, 92), (83, 114), (61, 78), (83, 56), (119, 78), (97, 56), (119, 93), (98, 114), (61, 93), (82, 114), (61, 77), (82, 56), (119, 77), (98, 56), (119, 94), (99, 114), (61, 94), (81, 114), (61, 76), (81, 56), (119, 76), (99, 56), (118, 95), (100, 113), (62, 95), (80, 113), (62, 75), (80, 57), (118, 75), (100, 57), (118, 96), (101, 113), (62, 96), (79, 113), (62, 74), (79, 57), (118, 74), (101, 57), (118, 97), (102, 113), (62, 97), (78, 113), (62, 73), (78, 57), (118, 73), (102, 57), (117, 98), (103, 112), (63, 98), (77, 112), (63, 72), (77, 58), (117, 72), (103, 58), (117, 99), (104, 112), (63, 99), (76, 112), (63, 71), (76, 58), (117, 71), (104, 58), (116, 100), (105, 111), (64, 100), (75, 111), (64, 70), (75, 59), (116, 70), (105, 59), (115, 101), (106, 110), (65, 101), (74, 110), (65, 69), (74, 60), (115, 69), (106, 60), (115, 102), (107, 110), (65, 102), (73, 110), (65, 68), (73, 60), (115, 68), (107, 60), (114, 103), (108, 109), (66, 103), (72, 109), (66, 67), (72, 61), (114, 67), (108, 61), (113, 104), (109, 108), (67, 104), (71, 108), (67, 66), (71, 62), (113, 66), (109, 62), (112, 105), (110, 107), (68, 105), (70, 107), (68, 65), (70, 63), (112, 65), (110, 63), (111, 106), (111, 106), (69, 106), (69, 106), (69, 64), (69, 64), (111, 64), (111, 64)]\n",
+      "(120, 85)\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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",
+      "text/plain": [
+       "<Figure size 640x480 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import math\n",
+    "\n",
+    "\n",
+    "namespace = {}\n",
+    "\n",
+    "\n",
+    "def draw_circle(centre_x, centre_y, radius):\n",
+    "    offset_y = 0\n",
+    "    offset_x = radius\n",
+    "    crit = 1 - radius\n",
+    "    while offset_y <= offset_x:\n",
+    "        yield (centre_x + offset_x, centre_y + offset_y)  # -- octant 1\n",
+    "        yield (centre_x + offset_y, centre_y + offset_x)  # -- octant 2\n",
+    "        yield (centre_x - offset_x, centre_y + offset_y)  # -- octant 4\n",
+    "        yield (centre_x - offset_y, centre_y + offset_x)  # -- octant 3\n",
+    "        yield (centre_x - offset_x, centre_y - offset_y)  # -- octant 5\n",
+    "        yield (centre_x - offset_y, centre_y - offset_x)  # -- octant 6\n",
+    "        yield (centre_x + offset_x, centre_y - offset_y)  # -- octant 8\n",
+    "        yield (centre_x + offset_y, centre_y - offset_x)  # -- octant 7\n",
+    "        offset_y = offset_y + 1\n",
+    "        if crit <= 0:\n",
+    "            crit = crit + 2 * offset_y + 1\n",
+    "        else:\n",
+    "            offset_x = offset_x - 1\n",
+    "            crit = crit + 2 * (offset_y - offset_x) + 1\n",
+    "\n",
+    "\n",
+    "def draw_reuleaux_triangle(centre_x, centre_y, radius):\n",
+    "    c_x = centre_x\n",
+    "    c_y = centre_y\n",
+    "    c_x1 = c_x + radius // 2\n",
+    "    c_y1 = c_y + round(radius * math.sqrt(3) / 6)\n",
+    "    c_x2 = c_x - radius // 2\n",
+    "    c_y2 = c_y + round(radius * math.sqrt(3) / 6)\n",
+    "    c_x3 = c_x\n",
+    "    c_y3 = c_y - round(radius * math.sqrt(3) / 6)\n",
+    "\n",
+    "    gen0 = draw_circle(c_x1, c_y1, radius)\n",
+    "    print(next(gen0))\n",
+    "    yield from draw_circle(c_x2, c_y2, radius)\n",
+    "    yield from draw_circle(c_x3, c_y3, radius)\n",
+    "    for coord in gen0:  # throw error if no dupe\n",
+    "        yield coord\n",
+    "\n",
+    "\n",
+    "\"\"\"\n",
+    "1. limitation to only have one generator instance of each function\n",
+    "2. dupe hardware always (i.e. 3 draw_circle modules)\n",
+    "default dupe\n",
+    "\"\"\"\n",
+    "\n",
+    "for _ in range(3):\n",
+    "    x, y, radius = (\n",
+    "        random.randint(30, 100),\n",
+    "        random.randint(30, 100),\n",
+    "        random.randint(30, 30),\n",
+    "    )\n",
+    "    print(f\"x: {x}, y: {y}, radius: {radius}\")\n",
+    "    print(list(draw_reuleaux_triangle(x, y, radius)))\n",
+    "    make_visual(draw_reuleaux_triangle(x, y, radius))\n"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.10.12"
+  },
+  "orig_nbformat": 4
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}