bluenoise-raytracer/targetrdf/plotting/.ipynb_checkpoints/plotter-checkpoint.ipynb

68 lines
52 KiB
Text

{
"cells": [
{
"cell_type": "code",
"execution_count": 23,
"id": "3c65dafa-2226-4d12-a61e-f92a5f92bc97",
"metadata": {},
"outputs": [],
"source": [
"xs = []\n",
"ys = []\n",
"\n",
"with open(\"step.txt\", 'r') as points_file:\n",
" for line in points_file.readlines()[1:]:\n",
" x, y = line.split(\" \")\n",
" y.replace(\"\\n\", \"\")\n",
" \n",
" xs.append(float(x))\n",
" ys.append(float(y))"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "e0fc7de9-6082-47da-9ba6-86a131c60a46",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"plt.scatter(xs, ys, s=0.2)\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.11.9"
}
},
"nbformat": 4,
"nbformat_minor": 5
}