{ "cells": [ { "cell_type": "markdown", "id": "00f4cbd9", "metadata": {}, "source": [ "# Example 2, discontinuous function\n", "\n", "For our second example we will look at a discontinuous function with zero contours that terminate in end points. We will use `jax.numpy.where` to add in the discontinuity, as a result we need to make sure `forward_mode_differentiation` is specified when we use the `value_and_grad_wrapper`." ] }, { "cell_type": "code", "execution_count": 1, "id": "8ddc0aed", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "code", "execution_count": 2, "id": "4e939e88", "metadata": {}, "outputs": [], "source": [ "import jax\n", "import jax.numpy as jnp\n", "\n", "jax.config.update(\"jax_enable_x64\", True)\n", "\n", "import matplotlib.pyplot as plt\n", "import matplotlib.colors as colors\n", "\n", "from jax_zero_contour import ZeroSolver" ] }, { "cell_type": "code", "execution_count": null, "id": "ba59d060", "metadata": {}, "outputs": [], "source": [ "@jax.tree_util.Partial\n", "def f(pos):\n", " # avoid r=0 so the grad is finite\n", " r = jnp.sqrt(jnp.sum(pos**2, axis=0) + 1e-15)\n", " theta = jnp.arctan2(pos[1], pos[0])\n", " z = jnp.sinc(r)\n", " return jnp.where(theta >= 0, z + 0.5, z)" ] }, { "cell_type": "code", "execution_count": 4, "id": "7000f004", "metadata": {}, "outputs": [], "source": [ "n = 1024\n", "x = jnp.linspace(-3, 3, n)\n", "y = jnp.linspace(-3, 3, n)\n", "X, Y = jnp.meshgrid(x, y)\n", "z = f(jnp.stack([X, Y]))" ] }, { "cell_type": "code", "execution_count": 5, "id": "0c7c8dc9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(\n", " z,\n", " extent=(x.min(), x.max(), y.min(), y.max()),\n", " norm=colors.SymLogNorm(linthresh=0.1, vmin=-1, vmax=2),\n", " cmap='PuOr_r',\n", " origin='lower',\n", " interpolation='nearest'\n", ")\n", "plt.colorbar();" ] }, { "cell_type": "markdown", "id": "4a9e2cae", "metadata": {}, "source": [ "As expected, the zero contours are not closed loops in this case, but instead half circles.\n", "\n", "```{note}\n", "As we used `jnp.where` inside our function definition we will need to set `forward_mode_differentiation` to `True` to avoid NaN values of the gradient.\n", "```" ] }, { "cell_type": "code", "execution_count": 6, "id": "cbb9e880", "metadata": {}, "outputs": [], "source": [ "zs = ZeroSolver(forward_mode_differentiation=True)" ] }, { "cell_type": "code", "execution_count": 7, "id": "5a94817e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[1 1]\n", " [1 1]\n", " [1 1]]\n" ] } ], "source": [ "init_guess = jnp.array([[0.0, -0.6], [0.0, -1.6], [0.0, -2.6]])\n", "paths, stopping_reason = zs.zero_contour_finder(\n", " f,\n", " init_guess,\n", " delta=0.01,\n", " N=500\n", ")\n", "print(stopping_reason)" ] }, { "cell_type": "markdown", "id": "d8044760", "metadata": { "notebookRunGroups": { "groupValue": "1" } }, "source": [ "In all cases the zero finder terminated with `[1, 1]` indicating that it found an end point in both directions." ] }, { "cell_type": "code", "execution_count": 8, "id": "c66877ad", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 4))\n", "plt.subplot(121)\n", "plt.imshow(\n", " z,\n", " extent=(x.min(), x.max(), y.min(), y.max()),\n", " norm=colors.SymLogNorm(linthresh=0.1, vmin=-1, vmax=2),\n", " cmap='PuOr_r',\n", " origin='lower',\n", " interpolation='nearest'\n", ")\n", "plt.colorbar()\n", "plt.plot(*paths['path'].T)\n", "plt.plot(*init_guess[0], 'x', ms=10, color='C0')\n", "plt.plot(*init_guess[1], 'x', ms=10, color='C1')\n", "plt.plot(*init_guess[2], 'x', ms=10, color='C2')\n", "\n", "plt.subplot(122)\n", "plt.xlabel('path index')\n", "plt.ylabel('function value on contour')\n", "plt.plot(paths['value'].T);" ] }, { "cell_type": "markdown", "id": "4f74649a", "metadata": {}, "source": [ "We can see that the contour end points are correctly identified in the face of a discontinuity in the function." ] }, { "cell_type": "code", "execution_count": null, "id": "148c3915", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "lensing", "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": "3.10.9" } }, "nbformat": 4, "nbformat_minor": 5 }