From 0d0e6a72f0c84d12d67f45ee09814e88e5a41e26 Mon Sep 17 00:00:00 2001 From: chris-langfield Date: Wed, 24 Apr 2024 23:21:15 -0400 Subject: [PATCH] hexarray example --- examples/HexArray.ipynb | 344 ++++++++++++++++++++++++++++++++++++++++ 1 file changed, 344 insertions(+) create mode 100644 examples/HexArray.ipynb diff --git a/examples/HexArray.ipynb b/examples/HexArray.ipynb new file mode 100644 index 0000000..e15e417 --- /dev/null +++ b/examples/HexArray.ipynb @@ -0,0 +1,344 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "o76xcfTfkRxd" + }, + "source": [ + "The `HexArray` class is a very thin subclass of `numpy.ndarray`, with extra properties indicating which hexagonal coordinate system is being used. Currently two options are implemented, `\"offset\"` (default) and `\"oblique\"`. See https://www.redblobgames.com/grids/hexagons/ for a good reference." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "id": "GmEHZaFOkDj9" + }, + "outputs": [], + "source": [ + "from hexfft import HexArray\n", + "import numpy as np\n", + "\n", + "# make some test data\n", + "data = np.random.normal(size=(8, 6))\n", + "\n", + "# instantiate a HexArray\n", + "h = HexArray(data)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "uTaVZOKCkPX1" + }, + "source": [ + "By default, `HexArray` assumes the rectangular array comes from data sampled on an offset grid, where every other row is shifted halfway to the right relative to the origin. We can access the `grid` as well as the `pattern` from the instance." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "743z9iE2NfN4", + "outputId": "2cdd065b-d101-4948-848d-2404b8bae8fb" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "offset\n", + "(array([[0. , 1. , 2. , 3. , 4. , 5. ],\n", + " [0.5, 1.5, 2.5, 3.5, 4.5, 5.5],\n", + " [0. , 1. , 2. , 3. , 4. , 5. ],\n", + " [0.5, 1.5, 2.5, 3.5, 4.5, 5.5],\n", + " [0. , 1. , 2. , 3. , 4. , 5. ],\n", + " [0.5, 1.5, 2.5, 3.5, 4.5, 5.5],\n", + " [0. , 1. , 2. , 3. , 4. , 5. ],\n", + " [0.5, 1.5, 2.5, 3.5, 4.5, 5.5]]), array([[0., 0., 0., 0., 0., 0.],\n", + " [1., 1., 1., 1., 1., 1.],\n", + " [2., 2., 2., 2., 2., 2.],\n", + " [3., 3., 3., 3., 3., 3.],\n", + " [4., 4., 4., 4., 4., 4.],\n", + " [5., 5., 5., 5., 5., 5.],\n", + " [6., 6., 6., 6., 6., 6.],\n", + " [7., 7., 7., 7., 7., 7.]]))\n" + ] + } + ], + "source": [ + "print(h.pattern)\n", + "print(h.grid)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "RquZ5eLhNn8F" + }, + "source": [ + "It's more informative to plot the grid." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 448 + }, + "id": "UcbmfYDhNjw4", + "outputId": "f6442b70-7606-4924-e937-0653e8a237f0" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "x, y = h.grid\n", + "plt.scatter(x, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "CkSbcxdcODGZ" + }, + "source": [ + "Using `hexfft.plot.hexshow()`, a (much slower and more limited) analog of `plt.matshow`, we can plot our data on this grid:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 453 + }, + "id": "MN4h6ZydNsQV", + "outputId": "be45362b-e917-4f62-f146-341bc9a616f5" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from hexfft.plot import hexshow\n", + "\n", + "hexshow(h)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "VdE5Oz5GOx0U" + }, + "source": [ + "The next cell gives an example of how to customize plots with `hexshow()`" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 470 + }, + "id": "VFcTsilmOS0h", + "outputId": "4fdfbd27-7704-4b9b-8031-4917203f9fa8" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Plotting data on an offset grid')" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "im = hexshow(h, ax=ax, cmap=\"inferno\")\n", + "fig.colorbar(im)\n", + "ax.set_title(\"Plotting data on an offset grid\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "XNVH6CB9O6R8" + }, + "source": [ + "Internally, `hexfft` uses an **oblique** coordinate system to represent hexagonally sampled signals, with a slanted y-axis. Arrays can be input in either format and conversions are taken care of under the hood. Let's look at an oblique grid. The columns of the array represent data points sampled on lines which are skewed relative to the x-axis:" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 448 + }, + "id": "24ChkqXfOqoz", + "outputId": "ba7c3986-c080-4531-f6e8-3a6f5df3b700" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "h_obl = HexArray(data, pattern=\"oblique\")\n", + "x, y = h_obl.grid\n", + "plt.scatter(x, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "1pUeCl7pP36G" + }, + "source": [ + "Our data looks like this on an oblique grid:" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 453 + }, + "id": "6Cohn3EmPZnJ", + "outputId": "5e7a5b14-5f89-4d96-cacb-0ffe4579c928" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "hexshow(h_obl)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "GwnIZCGYQJdC" + }, + "source": [ + "Data should be converted into a `HexArray` before passing into the `hexfft` transformations. By default, both the hexagonally periodic and rectangularly periodic transforms assume an `\"offset\"` coordinate system.\n", + "\n", + "The last special property of a `HexArray` is `indices`, which represent the indices of the array transformed to oblique coordinates for internal use." + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.10.14" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +}