Files
notes/code/misc/python/scripts/Anki/workflow.ipynb
2024-12-20 21:50:09 +00:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'result': 1725747180059, 'error': None}\n"
]
}
],
"source": [
"import requests\n",
"import json\n",
"\n",
"# URL for AnkiConnect\n",
"ANKI_CONNECT_URL = 'http://localhost:8765'\n",
"\n",
"def add_note(deck_name, model_name, fields, tags=[]):\n",
" # Define the note structure\n",
" note = {\n",
" \"deckName\": deck_name,\n",
" \"modelName\": model_name,\n",
" \"fields\": fields,\n",
" \"tags\": tags,\n",
" \"options\": {\n",
" \"allowDuplicate\": False\n",
" }\n",
" }\n",
"\n",
" # Define the request payload\n",
" payload = {\n",
" \"action\": \"addNote\",\n",
" \"version\": 6,\n",
" \"params\": {\n",
" \"note\": note\n",
" }\n",
" }\n",
"\n",
" # Send the request to AnkiConnect\n",
" response = requests.post(ANKI_CONNECT_URL, json=payload)\n",
" return response.json()\n",
"\n",
"# Example usage\n",
"deck_name = \"Default\"\n",
"model_name = \"Basic\"\n",
"fields = {\n",
" \"Front\": \"What is the capital of France?\",\n",
" \"Back\": \"Paris\"\n",
"}\n",
"tags = [\"geography\"]\n",
"\n",
"result = add_note(deck_name, model_name, fields, tags)\n",
"print(result)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Python 3.9.20\n",
"asttokens==2.4.1\n",
"comm==0.2.2\n",
"debugpy==1.8.5\n",
"decorator==5.1.1\n",
"exceptiongroup==1.2.2\n",
"executing==2.1.0\n",
"importlib_metadata==8.5.0\n",
"ipykernel==6.29.5\n",
"ipython==8.18.1\n",
"jedi==0.19.1\n",
"jupyter_client==8.6.2\n",
"jupyter_core==5.7.2\n",
"matplotlib-inline==0.1.7\n",
"nest-asyncio==1.6.0\n",
"packaging==24.1\n",
"parso==0.8.4\n",
"pexpect==4.9.0\n",
"platformdirs==4.3.2\n",
"prompt_toolkit==3.0.47\n",
"psutil==6.0.0\n",
"ptyprocess==0.7.0\n",
"pure_eval==0.2.3\n",
"Pygments==2.18.0\n",
"python-dateutil==2.9.0.post0\n",
"pyzmq==26.2.0\n",
"six==1.16.0\n",
"stack-data==0.6.3\n",
"tornado==6.4.1\n",
"traitlets==5.14.3\n",
"typing_extensions==4.12.2\n",
"wcwidth==0.2.13\n",
"zipp==3.20.2\n"
]
}
],
"source": [
"!python --version\n",
"!pip freeze\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"from fracdiff.sklearn import Fracdiff\n",
"import pandas_datareader as pdr\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"\n",
"# Set the start and end dates for the data\n",
"start_date = '1990-01-01'\n",
"end_date= '2023-06-01'\n",
"# Fetch S&P 500 price data\n",
"data = np.array((pdr.get_data_fred('SP500', start = start_date,end = end_date)).dropna())\n",
"# Calculate the fractional differentiation\n",
"window = 100\n",
"f = Fracdiff(0.48, mode = 'valid', window = window)\n",
"frac_data = f.fit_transform(data)\n",
"# Calculate a simple differencing function for comparison\n",
"diff_data = np.reshape(np.diff(data[:, 0]), (-1, 1))\n",
"# Harmonizing time indices\n",
"data = data[window-1:, ]\n",
"diff_data = diff_data[window-2:, ]"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.lines.Line2D at 0x7f28bf5a7a60>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(nrows = 3, ncols = 1)\n",
"axes[0].plot(data[5:,], label = 'S&P 500', color = 'blue', linewidth = 1)\n",
"axes[1].plot(frac_data[5:,], label =\n",
"'Fractionally Differentiated S&P 500 (0.48)',\n",
"color = 'orange', linewidth = 1)\n",
"axes[2].plot(diff_data[5:,], label =\n",
"'Differenced S&P 500', color = 'green', linewidth = 1)\n",
"axes[0].legend()\n",
"axes[1].legend()\n",
"axes[2].legend()\n",
"axes[0].grid()\n",
"axes[1].grid()\n",
"axes[2].grid()\n",
"axes[1].axhline(y = 0, color = 'black', linestyle = 'dashed')\n",
"axes[2].axhline(y = 0, color = 'black', linestyle = 'dashed')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "General",
"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": "3.9.20"
}
},
"nbformat": 4,
"nbformat_minor": 2
}