192 lines
6.2 KiB
Plaintext
192 lines
6.2 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"source": [
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"from src.user_keypad import UserKeypad\n",
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"from IPython.display import Markdown, display\n",
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"from src.models import KeypadSize\n",
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"import numpy as np\n",
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"\n",
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"def random_property_rotation(\n",
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" user_keypad: np.ndarray,\n",
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" prop_rotation: list[int]\n",
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") -> np.ndarray:\n",
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" transposed = user_keypad.T\n",
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" if len(prop_rotation) != len(transposed):\n",
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" raise ValueError(\"prop_rotation must be the same length as the number of properties\")\n",
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" for idx, prop_set in enumerate(transposed):\n",
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" rotation = prop_rotation[idx]\n",
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" rotation = rotation % len(prop_set) if len(prop_set) > 0 else 0\n",
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" transposed[idx] = np.roll(prop_set, rotation)\n",
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" return transposed.T\n",
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"\n",
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"def keypad_md_table(keypad_list: np.ndarray, keypad_size: KeypadSize) -> str:\n",
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" assert (keypad_size.total_props == len(keypad_list))\n",
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" keypad = keypad_list.reshape(-1, keypad_size.props_per_key)\n",
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" table = \"||\" + \"\".join([f\"position {idx}|\" for idx in range(keypad_size.props_per_key)])\n",
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" table += \"\\n|\" + \"\".join(\"-|\" for _ in range(keypad_size.props_per_key + 1))\n",
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"\n",
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" for key in range(keypad_size.numb_of_keys):\n",
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" table += f\"\\n|key {key}|\"\n",
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" table += \"|\".join([str(prop) for prop in keypad[key]])\n",
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" table += \"|\"\n",
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" return table"
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],
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"metadata": {
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"collapsed": false,
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"ExecuteTime": {
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"end_time": "2025-03-20T16:15:24.214098Z",
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"start_time": "2025-03-20T16:15:24.207220Z"
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}
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},
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"outputs": [],
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"execution_count": 80
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},
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{
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"metadata": {},
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"cell_type": "markdown",
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"source": [
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"## Keypad Dispersion\n",
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"\n",
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"Keypad dispersion refers to an operation that redistributes the properties assigned to each key on a keypad, ensuring that no property shares a key with a property that was previously adjacent to it.\n",
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"Keypads are only dispersable if `numb_of_keys <= properites_per_key`. It's used during nKode enrollment to infer property selection.\n",
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"\n",
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"A keypad dispersion is completed in two steps:\n",
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"1. Create a property rotation array; a randomly permuted subset of indices, selected without replacement from a range equal to the number of keys on a keypad, with its length truncated to match the number of properties assigned per key.\n",
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"2. Rotate each position, similar to a ring or combination lock, by a distance equal to its corresponding value in the property rotation array."
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]
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2025-03-20T16:15:24.225459Z",
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"start_time": "2025-03-20T16:15:24.220286Z"
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}
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},
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"cell_type": "code",
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"source": [
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"keypad_size = KeypadSize(numb_of_keys=5, props_per_key=4)\n",
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"props = [1, 10, 11, 100]\n",
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"keypad = []\n",
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"for key_numb in range(1,keypad_size.numb_of_keys+1):\n",
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" keypad.extend([key_numb * prop for prop in props])\n",
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"\n",
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"demo_interface = UserKeypad(keypad_size=keypad_size, keypad=np.array(keypad))\n",
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"display(Markdown(f\"\"\"\n",
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"## Example Keypad\n",
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"{keypad_size.numb_of_keys} X {keypad_size.props_per_key} keypad ({keypad_size.numb_of_keys} keys, {keypad_size.props_per_key} properties per key).\n",
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"\"\"\"))\n",
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"display(Markdown(keypad_md_table(demo_interface.keypad, keypad_size)))\n"
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],
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"outputs": [
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{
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"data": {
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"text/plain": [
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"<IPython.core.display.Markdown object>"
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],
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"text/markdown": "\n## Example Keypad\n5 X 4 keypad (5 keys, 4 properties per key).\n"
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"text/plain": [
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"<IPython.core.display.Markdown object>"
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],
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"text/markdown": "||position 0|position 1|position 2|position 3|\n|-|-|-|-|-|\n|key 0|1|10|11|100|\n|key 1|2|20|22|200|\n|key 2|3|30|33|300|\n|key 3|4|40|44|400|\n|key 4|5|50|55|500|"
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"execution_count": 81
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},
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{
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"metadata": {},
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"cell_type": "markdown",
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"source": "### Create Property Rotation Array"
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},
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{
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"cell_type": "code",
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"source": [
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"prop_rotation = np.random.choice(range(keypad_size.numb_of_keys), size=keypad_size.props_per_key, replace=False)\n",
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"print(f\"Property Rotation: {prop_rotation}\")\n"
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],
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"metadata": {
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"collapsed": false,
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"ExecuteTime": {
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"end_time": "2025-03-20T16:15:24.240606Z",
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"start_time": "2025-03-20T16:15:24.237773Z"
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}
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Property Rotation: [4 3 2 0]\n"
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]
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}
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],
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"execution_count": 82
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},
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{
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"metadata": {},
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"cell_type": "markdown",
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"source": "### Apply the Rotation"
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2025-03-20T16:15:24.256086Z",
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"start_time": "2025-03-20T16:15:24.253226Z"
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}
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},
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"cell_type": "code",
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"source": [
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"dispersed_interface = random_property_rotation(\n",
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" demo_interface.keypad.reshape(-1, keypad_size.props_per_key),\n",
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" prop_rotation\n",
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")\n",
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"display(Markdown(keypad_md_table(dispersed_interface.reshape(-1), keypad_size)))"
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],
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"outputs": [
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{
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"data": {
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"text/plain": [
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"<IPython.core.display.Markdown object>"
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],
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"text/markdown": "||position 0|position 1|position 2|position 3|\n|-|-|-|-|-|\n|key 0|2|30|44|100|\n|key 1|3|40|55|200|\n|key 2|4|50|11|300|\n|key 3|5|10|22|400|\n|key 4|1|20|33|500|"
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"execution_count": 83
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 2
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython2",
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"version": "2.7.6"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 0
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}
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