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@chengeaa
Last active August 26, 2019 01:18
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"ExecuteTime": {
"end_time": "2019-08-26T01:10:44.792552Z",
"start_time": "2019-08-26T01:10:44.298703Z"
}
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from ipywidgets import interact, interactive, fixed, interact_manual, Layout\n",
"import ipywidgets as widgets"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"ExecuteTime": {
"end_time": "2019-08-26T01:10:44.801529Z",
"start_time": "2019-08-26T01:10:44.795552Z"
}
},
"outputs": [],
"source": [
"plt.rcParams['figure.figsize'] = 12,12"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"ExecuteTime": {
"end_time": "2019-08-26T01:10:45.194676Z",
"start_time": "2019-08-26T01:10:44.804521Z"
}
},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "ff91de148a1d4ff9b262e3d3c9fd3d73",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(FloatSlider(value=0.0, description='theta', layout=Layout(width='50%'), max=5.0, step=0.…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"size = 100\n",
"dotsize = 6\n",
"dots = np.random.rand(5000, 2) * 2*size\n",
"dots -= [size, size]\n",
"\n",
"dots = np.array([[np.sqrt(x**2 + y**2), np.arctan2(y, x)] for x, y in dots]) #r, theta\n",
"def f(theta, xtrans, ytrans):\n",
" theta = theta * np.pi/180\n",
" transdots = dots + [0, theta]\n",
" x, y = dots[:, 0] * (np.cos(dots[:, 1])), dots[:, 0] * np.sin(dots[:, 1])\n",
" transdotsx, transdotsy = transdots[:, 0] * np.cos(transdots[:, 1]), transdots[:, 0] * np.sin(transdots[:, 1])\n",
" transdotsx, transdotsy = transdotsx + xtrans, transdotsy + ytrans\n",
" plt.scatter(x, y, color = 'k', marker = '.', s = dotsize)\n",
" plt.scatter(transdotsx, transdotsy, color = 'k', marker = '.', s = dotsize)\n",
"\n",
"transmax, transmin, transstep = size/25, -size/25, size/250\n",
"interact(f,\n",
" theta = widgets.FloatSlider(min = 0.0, max = 5.0, step = 0.4, layout = Layout(width = '50%')),\n",
" xtrans = widgets.FloatSlider(min = transmin, max = transmax, step = transstep, layout = Layout(width = '50%')),\n",
" ytrans = widgets.FloatSlider(min = transmin, max = transmax, step = transstep, layout = Layout(width = '50%')),\n",
" );"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.6.6"
},
"latex_envs": {
"LaTeX_envs_menu_present": true,
"autocomplete": true,
"bibliofile": "biblio.bib",
"cite_by": "apalike",
"current_citInitial": 1,
"eqLabelWithNumbers": true,
"eqNumInitial": 1,
"hotkeys": {
"equation": "Ctrl-E",
"itemize": "Ctrl-I"
},
"labels_anchors": false,
"latex_user_defs": false,
"report_style_numbering": false,
"user_envs_cfg": false
},
"toc": {
"colors": {
"hover_highlight": "#DAA520",
"navigate_num": "#000000",
"navigate_text": "#333333",
"running_highlight": "#FF0000",
"selected_highlight": "#FFD700",
"sidebar_border": "#EEEEEE",
"wrapper_background": "#FFFFFF"
},
"moveMenuLeft": true,
"nav_menu": {
"height": "0px",
"width": "250px"
},
"navigate_menu": true,
"number_sections": true,
"sideBar": true,
"threshold": 4,
"toc_cell": false,
"toc_section_display": "block",
"toc_window_display": false,
"widenNotebook": false
},
"varInspector": {
"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"delete_cmd_postfix": "",
"delete_cmd_prefix": "del ",
"library": "var_list.py",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"delete_cmd_postfix": ") ",
"delete_cmd_prefix": "rm(",
"library": "var_list.r",
"varRefreshCmd": "cat(var_dic_list()) "
}
},
"types_to_exclude": [
"module",
"function",
"builtin_function_or_method",
"instance",
"_Feature"
],
"window_display": false
},
"widgets": {
"application/vnd.jupyter.widget-state+json": {
"state": {
"07833e42e3514cc6848026f25914dd68": {
"model_module": "@jupyter-widgets/base",
"model_module_version": "1.1.0",
"model_name": "LayoutModel",
"state": {
"width": "50%"
}
},
"13d7627276324b4a8c40b51a2604b827": {
"model_module": "@jupyter-widgets/controls",
"model_module_version": "1.4.0",
"model_name": "FloatSliderModel",
"state": {
"description": "ytrans",
"layout": "IPY_MODEL_07833e42e3514cc6848026f25914dd68",
"max": 4,
"min": -4,
"step": 0.4,
"style": "IPY_MODEL_82db593922114e4c912f6ba90cd0bb59"
}
},
"1b9ef33a22944186aba7c7cfcb0e0233": {
"model_module": "@jupyter-widgets/base",
"model_module_version": "1.1.0",
"model_name": "LayoutModel",
"state": {}
},
"233f43a18d71487b8d0b2d23bf78f933": {
"model_module": "@jupyter-widgets/controls",
"model_module_version": "1.4.0",
"model_name": "FloatSliderModel",
"state": {
"description": "theta",
"layout": "IPY_MODEL_caca02daa039485e85a1c6d7289622b4",
"max": 5,
"step": 0.4,
"style": "IPY_MODEL_9d1f1e5dd0174e25b3447f393896e511"
}
},
"4c60af8a35764e17876e2b0a424d84ae": {
"model_module": "@jupyter-widgets/output",
"model_module_version": "1.0.0",
"model_name": "OutputModel",
"state": {
"layout": "IPY_MODEL_8b34de0c9e0640ca85fc512c54005811",
"outputs": [
{
"data": {
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\n",
"text/plain": "<Figure size 864x864 with 1 Axes>"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
}
},
"5bbd008aa6f24e119dd8fc47dce133ce": {
"model_module": "@jupyter-widgets/base",
"model_module_version": "1.1.0",
"model_name": "LayoutModel",
"state": {
"width": "50%"
}
},
"5ce7a45a2ad74e528861f45f95cdfb3f": {
"model_module": "@jupyter-widgets/base",
"model_module_version": "1.1.0",
"model_name": "LayoutModel",
"state": {
"width": "50%"
}
},
"65e9264b8de148609ccbd5d30635d08a": {
"model_module": "@jupyter-widgets/controls",
"model_module_version": "1.4.0",
"model_name": "VBoxModel",
"state": {
"_dom_classes": [
"widget-interact"
],
"children": [
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\n",
"text/plain": "<Figure size 432x288 with 1 Axes>"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
}
},
"eb9a55b1fff64b69ae002174a4365760": {
"model_module": "@jupyter-widgets/controls",
"model_module_version": "1.4.0",
"model_name": "FloatSliderModel",
"state": {
"description": "xtrans",
"layout": "IPY_MODEL_5bbd008aa6f24e119dd8fc47dce133ce",
"max": 4,
"min": -4,
"step": 0.4,
"style": "IPY_MODEL_e26998d8f0494adf9d3b99949d50624f"
}
},
"ec9b32accccc4ca6946f20ba0d7eb29d": {
"model_module": "@jupyter-widgets/output",
"model_module_version": "1.0.0",
"model_name": "OutputModel",
"state": {
"layout": "IPY_MODEL_c45099b25d3d4c1386835e2e1a4de327",
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 432x288 with 1 Axes>"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
}
},
"f10af304b8b941e28e10e105296ac143": {
"model_module": "@jupyter-widgets/base",
"model_module_version": "1.1.0",
"model_name": "LayoutModel",
"state": {}
},
"f63711b637064e06accbbc0d48a0cf6a": {
"model_module": "@jupyter-widgets/controls",
"model_module_version": "1.4.0",
"model_name": "SliderStyleModel",
"state": {
"description_width": ""
}
}
},
"version_major": 2,
"version_minor": 0
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}
matplotlib
numpy
ipywidgets
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