Last active
November 4, 2022 11:17
-
-
Save utf/20d573af5bff8ddca1b2c3b453faf1ca to your computer and use it in GitHub Desktop.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"id": "13f76f51-1c44-41e3-92e8-dc233f27150d", | |
"metadata": {}, | |
"source": [ | |
"Define function to add a gradient to a matplotlib axis." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"id": "f1d6f2df-c89a-4826-91ca-f29a0242efc0", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def add_gradient(\n", | |
" ax,\n", | |
" x_start=0,\n", | |
" x_end=1,\n", | |
" y_start=0,\n", | |
" y_end=1,\n", | |
" x_ref=\"ax\",\n", | |
" y_ref=\"ax\",\n", | |
" start_color=\"palegreen\",\n", | |
" end_color=\"white\",\n", | |
" direction=\"y\"\n", | |
"):\n", | |
" \"\"\"Add gradient background to an axis.\n", | |
" \n", | |
" Parameters\n", | |
" ----------\n", | |
" ax : Axis\n", | |
" A matplotlib axis object.\n", | |
" x_start : float\n", | |
" The x-axis starting coordinate for the gradient.\n", | |
" x_end : float\n", | |
" The x-axis ending coordinate for the gradient.\n", | |
" y_start : float\n", | |
" The y-axis starting coordinate for the gradient.\n", | |
" y_end : float\n", | |
" The y-axis ending coordinate for the gradient.\n", | |
" x_ref : str\n", | |
" Whether the x coordinates are given with respect to the axis\n", | |
" (e.g., the bounding box of the plot) or the data (e.g., the\n", | |
" actual values of the plot data). Specified as \"ax\" or \"data\".\n", | |
" y_ref : str\n", | |
" Whether the y coordinates are given with respect to the axis\n", | |
" (e.g., the bounding box of the plot) or the data (e.g., the\n", | |
" actual values of the plot data). Specified as \"ax\" or \"data\". \n", | |
" start_color : str or tuple of int\n", | |
" A matplotlib color definition (can be hex, rgb, or matplotlib\n", | |
" color name) defining the start of the gradient.\n", | |
" end_color : str or tuple of int\n", | |
" A matplotlib color definition (can be hex, rgb, or matplotlib\n", | |
" color name) defining the end of the gradient.\n", | |
" direction : str\n", | |
" Whether the gradient runs vertically (\"y\") or horizontally (\"x\").\n", | |
" \"\"\"\n", | |
" from matplotlib import colors\n", | |
" \n", | |
" xlim = ax.get_xlim()\n", | |
" ylim = ax.get_ylim()\n", | |
" \n", | |
" # get extent for gradient\n", | |
" extent = []\n", | |
" if x_ref == \"ax\":\n", | |
" xv = xlim[1] - xlim[0]\n", | |
" extent.extend([xv * x_start + xlim[0], xv * x_end + xlim[0]])\n", | |
" else:\n", | |
" extent.extend([x_start, x_end])\n", | |
" \n", | |
" if y_ref == \"ax\":\n", | |
" yv = ylim[1] - ylim[0]\n", | |
" extent.extend([yv * y_start + ylim[0], yv * y_end + ylim[0]])\n", | |
" else:\n", | |
" extent.extend([y_start, y_end]) \n", | |
"\n", | |
" # get gradient\n", | |
" cmap = colors.LinearSegmentedColormap.from_list(\"\", [[0, start_color], [1, end_color]])\n", | |
" if direction == \"x\":\n", | |
" gradient = np.linspace(0, 1, 100).reshape(1, -1)\n", | |
" else:\n", | |
" gradient = np.linspace(0, 1, 100).reshape(-1, 1)\n", | |
"\n", | |
" ax.imshow(gradient, extent=extent, aspect='auto', cmap=cmap, zorder=-20000, origin=\"lower\")\n", | |
" ax.set(xlim=xlim, ylim=ylim) # make sure to keep the original limits" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "abd83a44-1e1b-4914-bcab-9b55047b87de", | |
"metadata": {}, | |
"source": [ | |
"Define some data." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "bc850bf0-4a30-4fe5-b0bd-27455499f14a", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"import numpy as np\n", | |
"\n", | |
"x = np.linspace(-np.pi, np.pi, 100)\n", | |
"y = np.cos(x)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "62f37f42-9110-4cfb-8260-b5442e67594c", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, ax = plt.subplots()\n", | |
"ax.plot(x, y)\n", | |
"add_gradient(ax)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "a7d4971b-d995-40ac-ad33-26d890695f77", | |
"metadata": {}, | |
"source": [ | |
"By default the gradient is along the y direction, but we can make it along the x direction." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "2b7d5592-c196-4b02-9b1d-75d642b37737", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, ax = plt.subplots()\n", | |
"ax.plot(x, y)\n", | |
"add_gradient(ax, direction=\"x\")" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "699f7aa7-c39e-4c0f-9d58-123866734b1a", | |
"metadata": {}, | |
"source": [ | |
"The default is that the x and y positions are specified in axes coordinates (e.g., `x_start=0` is the left hand side of the plot and `x_end=1` is the right hand side of the plot.)\n", | |
"\n", | |
"To make the gradient fill half of the plot you can specify `x_end=0.5`" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "d296c9b0-29d5-49d5-9582-ca35ccb5c67a", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, ax = plt.subplots()\n", | |
"ax.plot(x, y)\n", | |
"add_gradient(ax, x_end=0.5)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "c579ca89-8698-4de9-b0b3-f938a2e98e18", | |
"metadata": {}, | |
"source": [ | |
"You might also want to specify the gradient limits in data coordinates. To do this you can change `x_ref` or `y_ref` to `\"data\"`.\n", | |
"\n", | |
"E.g., to add a gradient from -$\\pi/2$ to +$\\pi/2$ you can do:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "722bc0c7-bb69-49ee-8646-6271fab8da78", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, ax = plt.subplots()\n", | |
"ax.plot(x, y)\n", | |
"add_gradient(ax, x_start=-np.pi/2, x_end=np.pi/2, x_ref=\"data\")" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "73d2ee6b-2b86-4d63-aeef-3b6259fcbd25", | |
"metadata": {}, | |
"source": [ | |
"Note that the y limits are still given in the axes coordinate basis. We could change the ylimit too to be from -1/2 to +1/2 too" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"id": "3a130ac4-bc6c-4649-8ade-d68c93911429", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, ax = plt.subplots()\n", | |
"ax.plot(x, y)\n", | |
"add_gradient(ax, x_start=-np.pi/2, x_end=np.pi/2, x_ref=\"data\", y_start=-0.5, y_end=0.5, y_ref=\"data\")" | |
] | |
} | |
], | |
"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": "3.9.13" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment