diff --git a/docs/source/tutorials/BasicIntroduction.ipynb b/docs/source/tutorials/BasicIntroduction.ipynb
deleted file mode 100644
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-{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# Welcome to Caustics!\n",
- "\n",
- "In need of a differentiable strong gravitational lensing simulation package? Look no further! We have all your lensing simulator needs. In this tutorial we will cover the basics of caustics and how to get going making your own lensing configurations. Caustics is easy to use and very powerful, you will get to see some of that power here, but there will be more notebooks which demo specific use cases."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 1,
- "metadata": {},
- "outputs": [],
- "source": [
- "%load_ext autoreload\n",
- "%autoreload 2\n",
- "\n",
- "import torch\n",
- "from torch.nn.functional import avg_pool2d\n",
- "import matplotlib.pyplot as plt\n",
- "from astropy.io import fits\n",
- "import numpy as np\n",
- "\n",
- "import caustics"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "metadata": {},
- "outputs": [],
- "source": [
- "# Specify the image/cosmology parameters\n",
- "n_pix = 100\n",
- "res = 0.05\n",
- "upsample_factor = 2\n",
- "fov = res * n_pix\n",
- "thx, thy = caustics.get_meshgrid(res/upsample_factor, upsample_factor*n_pix, upsample_factor*n_pix, dtype=torch.float32)\n",
- "z_l = torch.tensor(0.5, dtype=torch.float32)\n",
- "z_s = torch.tensor(1.5, dtype=torch.float32)\n",
- "cosmology = caustics.FlatLambdaCDM(name = \"cosmo\")\n",
- "cosmology.to(dtype=torch.float32)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Simulating an SIE lens\n",
- "\n",
- "Here we will demo the very basics of lensing with a classic `SIE` lens model. We will see what it takes to make an `SIE` model, lens a backgorund `Sersic` source, and sample some examples in a simulator. Caustic simulators can generalize to very complex scenarios. In these cases there can be a lot of parameters moving through the simulator, and the order/number of parameters may change depending on what lens or source is being used. To streamline this process, caustic impliments a class called `Parametrized` which has some knowledge of the parameters moving through it, this way it can keep track of everything for you. For this to work, you must put the parameters into a `Packed` object which it can recognize, each sub function can then unpack the parameters it needs. Below we will show some examples of what this looks like."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "metadata": {},
- "outputs": [],
- "source": [
- "# demo simulator with sersic source, SIE lens. then sample some examples. demo the model graph\n",
- "\n",
- "class Simple_Sim(caustics.Simulator):\n",
- " def __init__(\n",
- " self,\n",
- " lens,\n",
- " src,\n",
- " z_s=None,\n",
- " name: str = \"sim\",\n",
- " ):\n",
- " super().__init__(name) # need this so `Parametrized` can do its magic\n",
- " \n",
- " # These are the lens and source objects to keep track of\n",
- " self.lens = lens\n",
- " self.src = src\n",
- " \n",
- " # Here we can add a parameter to the simulator, in this case it is `z_s` which we will need later\n",
- " self.add_param(\"z_s\", z_s)\n",
- "\n",
- " def forward(self, params):# define the forward model\n",
- " # Here the simulator unpacks the parameter it needs\n",
- " z_s = self.unpack(params)\n",
- "\n",
- " # Note this is very similar to before, except the packed up `x` is all the raytrace function needs to work\n",
- " bx, by = self.lens.raytrace(thx, thy, z_s, params)\n",
- " mu_fine = self.src.brightness(bx, by, params)\n",
- " \n",
- " # We return the sampled brightness at each pixel location\n",
- " return avg_pool2d(mu_fine.squeeze()[None, None], upsample_factor)[0, 0]"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "metadata": {},
- "outputs": [
- {
- "ename": "TypeError",
- "evalue": "'module' object is not callable",
- "output_type": "error",
- "traceback": [
- "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
- "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)",
- "\u001b[1;32m/workspaces/caustics/docs/source/tutorials/BasicIntroduction.ipynb Cell 6\u001b[0m line \u001b[0;36m2\n\u001b[1;32m 1 \u001b[0m sie \u001b[39m=\u001b[39m caustics\u001b[39m.\u001b[39mlenses\u001b[39m.\u001b[39mSIE(cosmology, name \u001b[39m=\u001b[39m \u001b[39m\"\u001b[39m\u001b[39msie\u001b[39m\u001b[39m\"\u001b[39m)\n\u001b[0;32m----> 2 \u001b[0m src \u001b[39m=\u001b[39m caustics\u001b[39m.\u001b[39;49mlight\u001b[39m.\u001b[39;49msersic(name \u001b[39m=\u001b[39;49m \u001b[39m\"\u001b[39;49m\u001b[39msrc\u001b[39;49m\u001b[39m\"\u001b[39;49m)\n\u001b[1;32m 4 \u001b[0m sim \u001b[39m=\u001b[39m Simple_Sim(sie, src, torch\u001b[39m.\u001b[39mtensor(\u001b[39m0.8\u001b[39m))\n\u001b[1;32m 6 \u001b[0m sim\u001b[39m.\u001b[39mget_graph(\u001b[39mTrue\u001b[39;00m, \u001b[39mTrue\u001b[39;00m)\n",
- "\u001b[0;31mTypeError\u001b[0m: 'module' object is not callable"
- ]
- }
- ],
- "source": [
- "sie = caustics.lenses.SIE(cosmology, name = \"sie\")\n",
- "src = caustics.light.sersic(name = \"src\")\n",
- "\n",
- "sim = Simple_Sim(sie, src, torch.tensor(0.8))\n",
- "\n",
- "sim.get_graph(True, True)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Simple_Sim(\n",
- " name='sim',\n",
- " static=[z_s],\n",
- " dynamic=[],\n",
- " x keys=[('sie': ['z_l', 'x0', 'y0', 'q', 'phi', 'b']), ('src': ['x0', 'y0', 'q', 'phi', 'n', 'Re', 'Ie'])]\n",
- ")\n",
- "SIE(\n",
- " name='sie',\n",
- " static=[],\n",
- " dynamic=[z_l, x0, y0, q, phi, b],\n",
- " x keys=[('sie': ['z_l', 'x0', 'y0', 'q', 'phi', 'b'])]\n",
- ")\n"
- ]
- }
- ],
- "source": [
- "print(sim)\n",
- "print(sie)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "# Reading the x_keys above we can input the parameters that we would like the simulator to evaluate\n",
- "x = torch.tensor([\n",
- " z_l.item(), # sie z_l\n",
- " 0.7, # sie x0\n",
- " 0.13, # sie y0\n",
- " 0.4, # sie q\n",
- " np.pi/5, # sie phi\n",
- " 1., # sie b\n",
- " 0.2, # src x0\n",
- " 0.5, # src y0\n",
- " 0.5, # src q\n",
- " -np.pi/4, # src phi\n",
- " 1.5, # src n\n",
- " 2.5, # src Re\n",
- " 1., # src Ie\n",
- "])\n",
- "plt.imshow(sim(x), origin=\"lower\")\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Where to go next?\n",
- "\n",
- "The caustic tutorials are generally short and to the point, that way you can idenfity what you want and jump right to some useful code that demo's the particular problem you face. Below is a list of caustic tutorials and a quick description of what you will learn in each one::\n",
- "\n",
- "- `LensZoo`: here you can see all the built-in lens mass distributions in `caustic` and how they distort the same background Seric source.\n",
- "- `Playground`: here we demo the main visualizations of a lensing system (deflection angles, convergence, potential, time delay, magnification) in an interactive display so you can change the parameters by hand and see how the visuals change!\n",
- "- `VisualizeCaustics`: here you can see how to find and display caustics, a must when using `caustic`!\n",
- "- `Simulators`: here we describe the powerful simulator framework and how it can be used to quickly swap models, parameters, and other features and turn a complex forward model into a simple function.\n",
- "- `InvertLensEquation`: here we demo forward ray tracing in `caustic` the process of mapping from the source plane to the image plane."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": []
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "base",
- "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": "3.11.6"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 4
-}
diff --git a/docs/source/tutorials/InvertLensEquation.ipynb b/docs/source/tutorials/InvertLensEquation.ipynb
deleted file mode 100644
index 2001f2b4..00000000
--- a/docs/source/tutorials/InvertLensEquation.ipynb
+++ /dev/null
@@ -1,157 +0,0 @@
-{
- "cells": [
- {
- "cell_type": "markdown",
- "id": "b7d08f1d",
- "metadata": {},
- "source": [
- "# Inverting the Lens Equation\n",
- "\n",
- "The lens equation $\\vec{\\beta} = \\vec{\\theta} - \\vec{\\alpha}(\\vec{\\theta})$ allows us to find a point in the source plane given a point in the image plane. However, sometimes we know a point in the source plane and would like to see where it ends up in the image plane. This is not easy to do since a point in the source plane may map to multiple locations in the image plane. There is no closed form function to invert the lens equation, in large part because the deflection angle $\\vec{\\alpha}$ depends on the position in the image plane $\\vec{\\theta}$. To invert the lens equation, we will need to rely on optimization and a little luck to find all the images for a given source plane point. Below we will demonstrate how this is done in caustic!"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 1,
- "id": "4027aaf9",
- "metadata": {},
- "outputs": [],
- "source": [
- "%load_ext autoreload\n",
- "%autoreload 2\n",
- "\n",
- "from functools import partial \n",
- "\n",
- "import torch\n",
- "from torch.nn.functional import avg_pool2d\n",
- "import matplotlib.pyplot as plt\n",
- "from ipywidgets import interact\n",
- "from astropy.io import fits\n",
- "import numpy as np\n",
- "from time import process_time as time\n",
- "\n",
- "import caustic"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "id": "2118e1c1",
- "metadata": {},
- "outputs": [],
- "source": [
- "# initialization stuff for an SIE lens\n",
- "\n",
- "cosmology = caustic.FlatLambdaCDM(name = \"cosmo\")\n",
- "cosmology.to(dtype=torch.float32)\n",
- "n_pix = 100\n",
- "res = 0.05\n",
- "upsample_factor = 2\n",
- "fov = res * n_pix\n",
- "thx, thy = caustic.get_meshgrid(res/upsample_factor, upsample_factor*n_pix, upsample_factor*n_pix, dtype=torch.float32)\n",
- "z_l = torch.tensor(0.5, dtype=torch.float32)\n",
- "z_s = torch.tensor(1.5, dtype=torch.float32)\n",
- "lens = caustic.SIE(\n",
- " cosmology = cosmology, \n",
- " name = \"sie\",\n",
- " z_l = z_l,\n",
- " x0 = torch.tensor(0.),\n",
- " y0 = torch.tensor(0.),\n",
- " q = torch.tensor(0.4),\n",
- " phi = torch.tensor(np.pi/5),\n",
- " b = torch.tensor(1.),\n",
- ")"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "id": "98e46aa1",
- "metadata": {},
- "outputs": [],
- "source": [
- "# Point in the source plane\n",
- "sp_x = torch.tensor(0.2)\n",
- "sp_y = torch.tensor(0.2)\n",
- "\n",
- "# Points in image plane\n",
- "x, y = lens.forward_raytrace(sp_x, sp_y, z_s)\n",
- "\n",
- "# Raytrace to check\n",
- "bx, by = lens.raytrace(x, y, z_s)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "id": "eb73147c",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "fig, ax = plt.subplots()\n",
- "\n",
- "A = lens.jacobian_lens_equation(thx, thy, z_s)\n",
- "detA = torch.linalg.det(A)\n",
- "CS = ax.contour(thx, thy, detA, levels = [0.], colors = \"b\", zorder = 1)\n",
- "# Get the path from the matplotlib contour plot of the critical line\n",
- "paths = CS.collections[0].get_paths()\n",
- "caustic_paths = []\n",
- "for path in paths:\n",
- " # Collect the path into a descrete set of points\n",
- " vertices = path.interpolated(5).vertices\n",
- " x1 = torch.tensor(list(float(vs[0]) for vs in vertices))\n",
- " x2 = torch.tensor(list(float(vs[1]) for vs in vertices))\n",
- " # raytrace the points to the source plane\n",
- " y1,y2 = lens.raytrace(x1, x2, z_s)\n",
- "\n",
- " # Plot the caustic\n",
- " ax.plot(y1,y2, color = \"r\", zorder = 1)\n",
- "ax.scatter(x, y, color = \"b\", label = \"forward raytrace\", zorder = 10)\n",
- "ax.scatter(bx, by, color = \"r\", marker = \"x\", label = \"source plane\", zorder = 9)\n",
- "ax.scatter([sp_x.item()], [sp_y.item()], color = \"g\", label = \"true pos\", zorder = 8)\n",
- "plt.legend()\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "id": "a0aa515f",
- "metadata": {},
- "outputs": [],
- "source": []
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "PY39",
- "language": "python",
- "name": "py39"
- },
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 3
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.5"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 5
-}
diff --git a/docs/source/tutorials/LensZoo.ipynb b/docs/source/tutorials/LensZoo.ipynb
deleted file mode 100644
index 78e0aa80..00000000
--- a/docs/source/tutorials/LensZoo.ipynb
+++ /dev/null
@@ -1,572 +0,0 @@
-{
- "cells": [
- {
- "cell_type": "markdown",
- "id": "e4054d16",
- "metadata": {},
- "source": [
- "# A Menagerie of Lenses\n",
- "\n",
- "Here we have a quick visual demo of every type of lens in caustic. This is a good way to pick out what you need and quickly copy paste. For all of these lenses we have placed a Sersic source with the same parameters as the background, that way you can visualize the differences between them."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 1,
- "id": "beeb58fa",
- "metadata": {},
- "outputs": [],
- "source": [
- "%load_ext autoreload\n",
- "%autoreload 2\n",
- "\n",
- "import torch\n",
- "from torch.nn.functional import avg_pool2d\n",
- "import matplotlib.pyplot as plt\n",
- "from ipywidgets import interact\n",
- "from astropy.io import fits\n",
- "import numpy as np\n",
- "from time import process_time as time\n",
- "\n",
- "import caustic"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "id": "72cbde6d",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "cosmology = caustic.FlatLambdaCDM(name = \"cosmo\")\n",
- "cosmology.to(dtype=torch.float32)\n",
- "z_s = torch.tensor(1.)\n",
- "base_sersic = caustic.sources.Sersic(\n",
- " name = \"sersic\",\n",
- " x0 = torch.tensor(0.1),\n",
- " y0 = torch.tensor(0.1),\n",
- " q = torch.tensor(0.6),\n",
- " phi = torch.tensor(np.pi/3),\n",
- " n = torch.tensor(2.),\n",
- " Re = torch.tensor(1.),\n",
- " Ie = torch.tensor(1.),\n",
- ")\n",
- "n_pix = 100\n",
- "res = 0.05\n",
- "upsample_factor = 2\n",
- "fov = res * n_pix\n",
- "thx, thy = caustic.get_meshgrid(res/upsample_factor, upsample_factor*n_pix, upsample_factor*n_pix, dtype=torch.float32)\n",
- "z_l = torch.tensor(0.5, dtype=torch.float32)\n",
- "\n",
- "class Zoo_Sim(caustic.Simulator):\n",
- " def __init__(\n",
- " self,\n",
- " lens,\n",
- " name: str = \"sim\",\n",
- " ):\n",
- " super().__init__(name) # need this so `Parametrized` can do its magic\n",
- " \n",
- " # These are the lens and source objects to keep track of\n",
- " self.lens = lens\n",
- " self.src = base_sersic\n",
- "\n",
- " def forward(self, params):# define the forward model\n",
- " # Note this is very similar to before, except the packed up `x` is all the raytrace function needs to work\n",
- " bx, by = self.lens.raytrace(thx, thy, z_s, params)\n",
- " mu_fine = self.src.brightness(bx, by, params)\n",
- " \n",
- " # We return the sampled brightness at each pixel location\n",
- " return avg_pool2d(mu_fine.squeeze()[None, None], upsample_factor)[0, 0]\n",
- " \n",
- "plt.imshow(np.log10(base_sersic.brightness(thx,thy).numpy()), origin = \"lower\")\n",
- "plt.gca().axis(\"off\")\n",
- "plt.title(\"Base Sersic\")\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "aa183e3d",
- "metadata": {},
- "source": [
- "## Point (Point)\n",
- "\n",
- "The simplest lens, an infinitely small point of mass (did someone say black holes?)."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "id": "4b4b2faa",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "lens = caustic.lenses.Point(\n",
- " cosmology = cosmology,\n",
- " name = \"point\",\n",
- " x0 = torch.tensor(0.),\n",
- " y0 = torch.tensor(0.),\n",
- " th_ein = torch.tensor(1.),\n",
- ")\n",
- "sim = Zoo_Sim(lens)\n",
- "fig, axarr = plt.subplots(1,2, figsize = (14,7)) \n",
- "#convergence = avg_pool2d(lens.convergence(thx, thy, z_s, z_l).squeeze()[None, None], upsample_factor).squeeze()\n",
- "#axarr[0].imshow(np.log10(convergence.numpy()), origin = \"lower\")\n",
- "axarr[0].axis(\"off\")\n",
- "axarr[0].set_title(\"Point Convergence not defined\")\n",
- "axarr[1].imshow(np.log10(sim([z_l]).numpy()), origin = \"lower\")\n",
- "axarr[1].axis(\"off\")\n",
- "axarr[1].set_title(\"Lensed Sersic\")\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "2ca96b29",
- "metadata": {},
- "source": [
- "## Singular Isothermal Sphere (SIS)\n",
- "\n",
- "An SIS is a mass distribution represented by a constant temperature velocity dispersion of masses. Alternatively, a constant temperature gas in a spherical gravitational potential."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "id": "6d563d58",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "lens = caustic.lenses.SIS(\n",
- " cosmology = cosmology,\n",
- " name = \"sis\",\n",
- " x0 = torch.tensor(0.),\n",
- " y0 = torch.tensor(0.),\n",
- " th_ein = torch.tensor(1.),\n",
- ")\n",
- "sim = Zoo_Sim(lens)\n",
- "fig, axarr = plt.subplots(1,2, figsize = (14,7)) \n",
- "convergence = avg_pool2d(lens.convergence(thx, thy, z_s, z_l).squeeze()[None, None], upsample_factor).squeeze()\n",
- "axarr[0].imshow(np.log10(convergence.numpy()), origin = \"lower\")\n",
- "axarr[0].axis(\"off\")\n",
- "axarr[0].set_title(\"SIS Convergence\")\n",
- "axarr[1].imshow(np.log10(sim([z_l]).numpy()), origin = \"lower\")\n",
- "axarr[1].axis(\"off\")\n",
- "axarr[1].set_title(\"Lensed Sersic\")\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "e09f874d",
- "metadata": {},
- "source": [
- "## Singular Isothermal Ellipsoid (SIE)\n",
- "\n",
- "The SIE is just like the SIS except it has been compressed along one axis."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "id": "63c78c9a",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "lens = caustic.lenses.SIE(\n",
- " cosmology = cosmology,\n",
- " name = \"sie\",\n",
- " x0 = torch.tensor(0.),\n",
- " y0 = torch.tensor(0.),\n",
- " q = torch.tensor(0.6),\n",
- " phi = torch.tensor(np.pi/2),\n",
- " b = torch.tensor(1.),\n",
- ")\n",
- "sim = Zoo_Sim(lens)\n",
- "fig, axarr = plt.subplots(1,2, figsize = (14,7)) \n",
- "convergence = avg_pool2d(lens.convergence(thx, thy, z_s, z_l).squeeze()[None, None], upsample_factor).squeeze()\n",
- "axarr[0].imshow(np.log10(convergence.numpy()), origin = \"lower\")\n",
- "axarr[0].axis(\"off\")\n",
- "axarr[0].set_title(\"SIE Convergence\")\n",
- "axarr[1].imshow(np.log10(sim([z_l]).numpy()), origin = \"lower\")\n",
- "axarr[1].axis(\"off\")\n",
- "axarr[1].set_title(\"Lensed Sersic\")\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "794060c3",
- "metadata": {},
- "source": [
- "## Elliptical Power Law (EPL)\n",
- "\n",
- "This is a power law mass distribution with an elliptical isodensity contour."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "id": "557bad9f",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "lens = caustic.lenses.EPL(\n",
- " cosmology = cosmology,\n",
- " name = \"epl\",\n",
- " x0 = torch.tensor(0.),\n",
- " y0 = torch.tensor(0.),\n",
- " q = torch.tensor(0.6),\n",
- " phi = torch.tensor(np.pi/2),\n",
- " b = torch.tensor(1.),\n",
- " t = torch.tensor(0.5),\n",
- ")\n",
- "sim = Zoo_Sim(lens)\n",
- "fig, axarr = plt.subplots(1,2, figsize = (14,7)) \n",
- "convergence = avg_pool2d(lens.convergence(thx, thy, z_s, z_l).squeeze()[None, None], upsample_factor).squeeze()\n",
- "axarr[0].imshow(np.log10(convergence.numpy()), origin = \"lower\")\n",
- "axarr[0].axis(\"off\")\n",
- "axarr[0].set_title(\"EPL Convergence\")\n",
- "axarr[1].imshow(np.log10(sim([z_l]).numpy()), origin = \"lower\")\n",
- "axarr[1].axis(\"off\")\n",
- "axarr[1].set_title(\"Lensed Sersic\")\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "1aa4a0b4",
- "metadata": {},
- "source": [
- "## Navarro Frenk White profile (NFW)\n",
- "\n",
- "The NFW profile is a classic mass profile that approximates the mass distribution of halos in large dark matter simulations.\n",
- "\n",
- "$$\\rho(r) = \\frac{\\rho_0}{\\frac{r}{r_s}\\left(1 + \\frac{r}{r_s}\\right)^2}$$"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 7,
- "id": "bb209aba",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "lens = caustic.lenses.NFW(\n",
- " cosmology = cosmology,\n",
- " name = \"nfw\",\n",
- " x0 = torch.tensor(0.),\n",
- " y0 = torch.tensor(0.),\n",
- " m = torch.tensor(1e13),\n",
- " c = torch.tensor(20.),\n",
- ")\n",
- "sim = Zoo_Sim(lens)\n",
- "fig, axarr = plt.subplots(1,2, figsize = (14,7)) \n",
- "convergence = avg_pool2d(lens.convergence(thx, thy, z_s, z_l).squeeze()[None, None], upsample_factor).squeeze()\n",
- "axarr[0].imshow(np.log10(convergence.numpy()), origin = \"lower\")\n",
- "axarr[0].axis(\"off\")\n",
- "axarr[0].set_title(\"NFW Convergence\")\n",
- "axarr[1].imshow(np.log10(sim([z_l]).numpy()), origin = \"lower\")\n",
- "axarr[1].axis(\"off\")\n",
- "axarr[1].set_title(\"Lensed Sersic\")\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "d96d3992",
- "metadata": {},
- "source": [
- "## Truncated NFW profile (TNFW)\n",
- "\n",
- "The TNFW profile is a slight modification to the classic NFW mass profile that approximates the mass distribution of halos in large dark matter simulations. The new density profile is defined as:\n",
- "\n",
- "$$\\rho_{\\rm tnfw}(r) = \\rho_{\\rm nfw}(r)\\frac{\\tau^2}{\\tau^2 + \\frac{r^2}{r_s^2}}$$\n",
- "\n",
- "where $\\tau = \\frac{r_t}{r_s}$ is the ratio of the truncation radius to the scale radius. Note that the truncation happens smoothly so there are no sharp boundaries. In the TNFW profile, the mass quantity now actually corresponds the to the total mass since it is no longer divergent. This often means the mass values are larger."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 8,
- "id": "dd5805a5",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "lens = caustic.lenses.TNFW(\n",
- " cosmology = cosmology,\n",
- " name = \"tnfw\",\n",
- " x0 = torch.tensor(0.),\n",
- " y0 = torch.tensor(0.),\n",
- " mass = torch.tensor(1e12),\n",
- " scale_radius = torch.tensor(1.),\n",
- " tau = torch.tensor(3.),\n",
- ")\n",
- "sim = Zoo_Sim(lens)\n",
- "fig, axarr = plt.subplots(1,2, figsize = (14,7)) \n",
- "convergence = avg_pool2d(lens.convergence(thx, thy, z_s, z_l).squeeze()[None, None], upsample_factor).squeeze()\n",
- "axarr[0].imshow(np.log10(convergence.numpy()), origin = \"lower\")\n",
- "axarr[0].axis(\"off\")\n",
- "axarr[0].set_title(\"Truncated NFW Convergence\")\n",
- "axarr[1].imshow(np.log10(sim([z_l]).numpy()), origin = \"lower\")\n",
- "axarr[1].axis(\"off\")\n",
- "axarr[1].set_title(\"Lensed Sersic\")\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "f6f19942",
- "metadata": {},
- "source": [
- "## Pseudo Jaffe (PseudoJaffe)\n",
- "\n",
- "The Pseudo Jaffe closely approximates an isothermal mass distribution except that it is easier to compute and has finite mass.\n",
- "\n",
- "$$ \\rho(r) = \\frac{\\rho_0}{\\left(1 + \\frac{r^2}{r_c^2}\\right)\\left(1 + \\frac{r^2}{r_s^2}\\right)} $$\n",
- "\n",
- "where $\\rho_0$ is the central density limit, $r_c$ is the core radius, $r_s$ is the scale radius."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 9,
- "id": "0c8985d8",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "lens = caustic.lenses.PseudoJaffe(\n",
- " cosmology = cosmology,\n",
- " name = \"pseudojaffe\",\n",
- " x0 = torch.tensor(0.),\n",
- " y0 = torch.tensor(0.),\n",
- " mass = torch.tensor(1e13),\n",
- " core_radius = torch.tensor(5e-1),\n",
- " scale_radius = torch.tensor(15.)\n",
- ")\n",
- "sim = Zoo_Sim(lens)\n",
- "fig, axarr = plt.subplots(1,2, figsize = (14,7)) \n",
- "convergence = avg_pool2d(lens.convergence(thx, thy, z_s, z_l).squeeze()[None, None], upsample_factor).squeeze()\n",
- "axarr[0].imshow(np.log10(convergence.numpy()), origin = \"lower\")\n",
- "axarr[0].axis(\"off\")\n",
- "axarr[0].set_title(\"Pseudo Jaffe Convergence\")\n",
- "axarr[1].imshow(np.log10(sim([z_l]).numpy()), origin = \"lower\")\n",
- "axarr[1].axis(\"off\")\n",
- "axarr[1].set_title(\"Lensed Sersic\")\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "b232c8b0",
- "metadata": {},
- "source": [
- "## External Shear (ExternalShear)\n",
- "\n",
- "It is often necessary to embed a lens in an external shear field to account for the fact that the lensing mass is not the only mass in the universe."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 10,
- "id": "e1d7b927",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "lens = caustic.lenses.ExternalShear(\n",
- " cosmology = cosmology,\n",
- " name = \"externalshear\",\n",
- " x0 = torch.tensor(0.),\n",
- " y0 = torch.tensor(0.),\n",
- " gamma_1 = torch.tensor(1.),\n",
- " gamma_2 = torch.tensor(-1.),\n",
- ")\n",
- "sim = Zoo_Sim(lens)\n",
- "fig, axarr = plt.subplots(1,2, figsize = (14,7)) \n",
- "#convergence = avg_pool2d(lens.convergence(thx, thy, z_s, z_l).squeeze()[None, None], upsample_factor).squeeze()\n",
- "#axarr[0].imshow(np.log10(convergence.numpy()), origin = \"lower\")\n",
- "axarr[0].axis(\"off\")\n",
- "axarr[0].set_title(\"External Shear Convergence not defined\")\n",
- "axarr[1].imshow(np.log10(sim([z_l]).numpy()), origin = \"lower\")\n",
- "axarr[1].axis(\"off\")\n",
- "axarr[1].set_title(\"Lensed Sersic\")\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "688d0796",
- "metadata": {},
- "source": [
- "## Mass Sheet (MassSheet)\n",
- "\n",
- "This is a simple case of an external shear field which represents an infinite constant surface density sheet."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 11,
- "id": "cdfba784",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "lens = caustic.lenses.MassSheet(\n",
- " cosmology = cosmology,\n",
- " name = \"masssheet\",\n",
- " x0 = torch.tensor(0.),\n",
- " y0 = torch.tensor(0.),\n",
- " surface_density = torch.tensor(1.5),\n",
- ")\n",
- "sim = Zoo_Sim(lens)\n",
- "fig, axarr = plt.subplots(1,2, figsize = (14,7)) \n",
- "convergence = avg_pool2d(lens.convergence(thx, thy, z_s, z_l).squeeze()[None, None], upsample_factor).squeeze()\n",
- "axarr[0].imshow(np.log10(convergence.numpy()), origin = \"lower\")\n",
- "axarr[0].axis(\"off\")\n",
- "axarr[0].set_title(\"Mass Sheet Convergence\")\n",
- "axarr[1].imshow(np.log10(sim([z_l]).numpy()), origin = \"lower\")\n",
- "axarr[1].axis(\"off\")\n",
- "axarr[1].set_title(\"Lensed Sersic\")\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "id": "d6c44b6c",
- "metadata": {},
- "outputs": [],
- "source": []
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "PY39",
- "language": "python",
- "name": "py39"
- },
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 3
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.5"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 5
-}
diff --git a/docs/source/tutorials/MultiplaneDemo.ipynb b/docs/source/tutorials/MultiplaneDemo.ipynb
deleted file mode 100644
index f4cf5333..00000000
--- a/docs/source/tutorials/MultiplaneDemo.ipynb
+++ /dev/null
@@ -1,296 +0,0 @@
-{
- "cells": [
- {
- "cell_type": "markdown",
- "id": "2a324070-a163-4b79-8e77-819da73083f3",
- "metadata": {},
- "source": [
- "# Multiplane Lensing\n",
- "\n",
- "The universe is three dimensional and filled with stuff. A light ray traveling to our telescope may encounter more than a single massive object on its way to our telescopes. This is handled by a multiplane lensing framework. Multiplane lensing involves tracing the path of a ray backwards from our telescope through each individual plane (which is treated similarly to typical single plane lensing, though extra factors account for the ray physically moving in 3D space) getting perturbed at each step until it finally lands on the source we'd like to image. For more mathmatical details see [Petkova et al. 2014](https://doi.org/10.1093/mnras/stu1860) for the formalism we use internally.\n",
- "\n",
- "The main concept to keep in mind is that a lot of quantities we are used to working with, such as \"reduced deflection angles\" don't really exist in multiplane lensing since these are normalized by the redshift of the source and lens, however there is no single \"lens redshift\" for multiplane! Instead we define everything with respect to results from full raytracing, once the raytracing is done we can define effective quantities (like effective reduced deflection angle) which behave similarly in intuition but are not quite the same in detail."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 1,
- "id": "45b6a8b4",
- "metadata": {},
- "outputs": [],
- "source": [
- "%load_ext autoreload\n",
- "%autoreload 2\n",
- "\n",
- "import torch\n",
- "from torch.nn.functional import avg_pool2d\n",
- "import matplotlib.pyplot as plt\n",
- "from ipywidgets import interact\n",
- "from astropy.io import fits\n",
- "import numpy as np\n",
- "\n",
- "import caustic"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "id": "ab43e042",
- "metadata": {},
- "outputs": [],
- "source": [
- "# initialization stuff for lenses\n",
- "cosmology = caustic.FlatLambdaCDM(name = \"cosmo\")\n",
- "cosmology.to(dtype=torch.float32)\n",
- "n_pix = 100\n",
- "res = 0.05\n",
- "upsample_factor = 2\n",
- "fov = res * n_pix\n",
- "thx, thy = caustic.get_meshgrid(res/upsample_factor, upsample_factor*n_pix, upsample_factor*n_pix, dtype=torch.float32)\n",
- "z_s = torch.tensor(1.5, dtype=torch.float32)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "id": "ea49d25d",
- "metadata": {},
- "outputs": [],
- "source": [
- "N_planes = 10\n",
- "N_lenses = 2 # per plane\n",
- "\n",
- "z_plane = np.linspace(0.1, 1.0, N_planes)\n",
- "planes = []\n",
- "\n",
- "for p, z_p in enumerate(z_plane):\n",
- " lenses = []\n",
- " \n",
- " for _ in range(N_lenses):\n",
- " lenses.append(\n",
- " caustic.PseudoJaffe(\n",
- " cosmology = cosmology, \n",
- " z_l = z_p,\n",
- " x0 = torch.tensor(np.random.uniform(-fov/3., fov/3.)),\n",
- " y0 = torch.tensor(np.random.uniform(-fov/3., fov/3.)),\n",
- " mass = torch.tensor(3e10),\n",
- " core_radius = 0.01,\n",
- " scale_radius = torch.tensor(10**np.random.uniform(-0.5,0.5)),\n",
- " s = torch.tensor(0.001),\n",
- " )\n",
- " )\n",
- "\n",
- " planes.append(\n",
- " caustic.lenses.SinglePlane(z_l = z_p, cosmology = cosmology, lenses = lenses, name = f\"plane {p}\")\n",
- " )\n",
- " \n",
- "lens = caustic.lenses.Multiplane(name = \"multiplane\", cosmology = cosmology, lenses = planes)"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "4aa429c8",
- "metadata": {},
- "source": [
- "## Effective Reduced Deflection Angles"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "id": "f2e0a341",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "# Effective reduced deflection angles for the multiplane lens system\n",
- "ax, ay = lens.effective_reduced_deflection_angle(thx, thy, z_s)\n",
- "\n",
- "# Plot\n",
- "fig, axarr = plt.subplots(1,2,figsize = (12,5))\n",
- "im = axarr[0].imshow(ax, extent = (thx[0][0], thx[0][-1], thy[0][0], thy[-1][0]), origin = \"lower\")\n",
- "axarr[0].set_title(\"Deflection angle X\")\n",
- "plt.colorbar(im)\n",
- "im = axarr[1].imshow(ay, extent = (thx[0][0], thx[0][-1], thy[0][0], thy[-1][0]), origin = \"lower\")\n",
- "axarr[1].set_title(\"Deflection angle Y\")\n",
- "plt.colorbar(im)\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "c7ad98c6",
- "metadata": {},
- "source": [
- "## Critical Lines"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "id": "b2e23c3e",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "# Compute critical curves using effective difflection angle\n",
- "A = lens.jacobian_lens_equation(thx, thy, z_s)\n",
- "\n",
- "# Here we compute detA at every point\n",
- "detA = torch.linalg.det(A)\n",
- "\n",
- "# Plot the critical line\n",
- "im = plt.imshow(detA, extent = (thx[0][0], thx[0][-1], thy[0][0], thy[-1][0]), origin = \"lower\")\n",
- "plt.colorbar(im)\n",
- "CS = plt.contour(thx, thy, detA, levels = [0.], colors = \"b\")\n",
- "plt.title(\"Critical curves\")\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "id": "7cd1f948",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "# For completeness, here are the caustics!\n",
- "paths = CS.collections[0].get_paths()\n",
- "caustic_paths = []\n",
- "for path in paths:\n",
- " # Collect the path into a descrete set of points\n",
- " vertices = path.interpolated(5).vertices\n",
- " x1 = torch.tensor(list(float(vs[0]) for vs in vertices))\n",
- " x2 = torch.tensor(list(float(vs[1]) for vs in vertices))\n",
- " # raytrace the points to the source plane\n",
- " y1,y2 = lens.raytrace(x1, x2, z_s)\n",
- "\n",
- " # Plot the caustic\n",
- " plt.plot(y1,y2, color = \"k\", linewidth = 0.5)\n",
- "plt.gca().axis(\"off\")\n",
- "plt.title(\"Caustics\")\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "94144e25",
- "metadata": {},
- "source": [
- "## Effective Convergence"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 7,
- "id": "d8a84fde",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "C = lens.effective_convergence_div(thx, thy, z_s)\n",
- "\n",
- "plt.imshow(C.detach().cpu().numpy(), origin = \"lower\")\n",
- "plt.colorbar()\n",
- "plt.title(\"Effective Convergence\")\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 8,
- "id": "708338df",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "Curl = lens.effective_convergence_curl(thx, thy, z_s)\n",
- "\n",
- "plt.imshow(Curl.detach().cpu().numpy(), origin = \"lower\")\n",
- "plt.colorbar()\n",
- "plt.title(\"Curl\")\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "id": "00e9c94a",
- "metadata": {},
- "outputs": [],
- "source": []
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "PY39",
- "language": "python",
- "name": "py39"
- },
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 3
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.5"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 5
-}
diff --git a/docs/source/tutorials/Playground.ipynb b/docs/source/tutorials/Playground.ipynb
deleted file mode 100644
index 4a92b90c..00000000
--- a/docs/source/tutorials/Playground.ipynb
+++ /dev/null
@@ -1,254 +0,0 @@
-{
- "cells": [
- {
- "cell_type": "markdown",
- "id": "1fafae89",
- "metadata": {},
- "source": [
- "# Lensing playground\n",
- "\n",
- "This is just a fun notebook where you can interactively change lensing parameters. It is a great way to build some intuition around lensing and make some cool pictures!"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 1,
- "id": "c0d85608",
- "metadata": {},
- "outputs": [],
- "source": [
- "%load_ext autoreload\n",
- "%autoreload 2\n",
- "\n",
- "import torch\n",
- "from torch.nn.functional import avg_pool2d\n",
- "import matplotlib.pyplot as plt\n",
- "from ipywidgets import interact\n",
- "from astropy.io import fits\n",
- "import numpy as np\n",
- "\n",
- "import caustic"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "id": "b1ac7bf7",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "FlatLambdaCDM(\n",
- " name='cosmo',\n",
- " static=[h0, critical_density_0, Om0],\n",
- " dynamic=[],\n",
- " x keys=[]\n",
- ")"
- ]
- },
- "execution_count": 2,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "n_pix = 100\n",
- "res = 0.05\n",
- "upsample_factor = 2\n",
- "fov = res * n_pix\n",
- "thx, thy = caustic.get_meshgrid(res/upsample_factor, upsample_factor*n_pix, upsample_factor*n_pix, dtype=torch.float32)\n",
- "z_l = torch.tensor(0.5, dtype=torch.float32)\n",
- "z_s = torch.tensor(1.5, dtype=torch.float32)\n",
- "cosmology = caustic.FlatLambdaCDM(name = \"cosmo\")\n",
- "cosmology.to(dtype=torch.float32)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "id": "964a76a6",
- "metadata": {},
- "outputs": [],
- "source": [
- "# SIE lens model, kappa map, alpha map, magnification, time delay, caustics\n",
- "\n",
- "def plot_lens_metrics(thx0, thy0, q, phi, b):\n",
- " lens = caustic.lenses.SIE(\n",
- " cosmology = cosmology, \n",
- " z_l = z_l, \n",
- " x0 = torch.tensor(thx0), \n",
- " y0 = torch.tensor(thy0), \n",
- " q = torch.tensor(q), \n",
- " phi = torch.tensor(phi), \n",
- " b = torch.tensor(b),\n",
- " name = \"sie\", \n",
- " )\n",
- " fig, axarr = plt.subplots(2,3, figsize = (9,6))\n",
- " kappa = avg_pool2d(lens.convergence(thx, thy, z_s)[None, None, :, :], upsample_factor)[0,0]\n",
- " axarr[0][0].imshow(torch.log10(kappa), origin = \"lower\")\n",
- " axarr[0][0].set_title(\"log(convergence)\")\n",
- " psi = avg_pool2d(lens.potential(thx, thy, z_s)[None, None, :, :], upsample_factor)[0,0]\n",
- " axarr[0][1].imshow(psi, origin = \"lower\")\n",
- " axarr[0][1].set_title(\"potential\")\n",
- " timedelay = avg_pool2d(lens.time_delay(thx, thy, z_s)[None, None, :, :], upsample_factor)[0,0]\n",
- " axarr[0][2].imshow(timedelay, origin = \"lower\")\n",
- " axarr[0][2].set_title(\"time delay\")\n",
- " magnification = avg_pool2d(lens.magnification(thx, thy, z_s)[None, None, :, :], upsample_factor)[0,0]\n",
- " axarr[1][0].imshow(torch.log10(magnification), origin = \"lower\")\n",
- " axarr[1][0].set_title(\"log(magnification)\")\n",
- " alpha = lens.reduced_deflection_angle(thx, thy, z_s)\n",
- " alpha0 = avg_pool2d(alpha[0][None, None, :, :], upsample_factor)[0,0]\n",
- " alpha1 = avg_pool2d(alpha[1][None, None, :, :], upsample_factor)[0,0]\n",
- " axarr[1][1].imshow(alpha0, origin = \"lower\")\n",
- " axarr[1][1].set_title(\"deflection angle x\")\n",
- " axarr[1][2].imshow(alpha1, origin = \"lower\")\n",
- " axarr[1][2].set_title(\"deflection angle y\")\n",
- " plt.show()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "id": "3b04c973",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "ad38a8d0a53b45e0bde854ffa61da43e",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "interactive(children=(FloatSlider(value=0.0, description='thx0', max=2.5, min=-2.5), FloatSlider(value=0.0, de…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "p = interact(\n",
- " plot_lens_metrics, \n",
- " thx0=(-2.5, 2.5, 0.1), \n",
- " thy0=(-2.5, 2.5, 0.1), \n",
- " q=(0.01, 0.99, 0.01), \n",
- " phi=(0., np.pi, np.pi/25),\n",
- " b=(0.1, 2., .1),\n",
- ")"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "id": "dce1edef",
- "metadata": {},
- "outputs": [],
- "source": [
- "# Sersic source, demo lensed source\n",
- "def plot_lens_distortion(x0_lens, y0_lens, q_lens, phi_lens, b_lens, x0_src, y0_src, q_src, phi_src, n_src, Re_src, Ie_src):\n",
- " lens = caustic.lenses.SIE(\n",
- " cosmology, \n",
- " z_l, \n",
- " torch.tensor(x0_lens), \n",
- " torch.tensor(y0_lens), \n",
- " torch.tensor(q_lens),\n",
- " torch.tensor(phi_lens),\n",
- " torch.tensor(b_lens),\n",
- " name = \"sie\", \n",
- " )\n",
- " source = caustic.sources.Sersic(\n",
- " torch.tensor(x0_src), \n",
- " torch.tensor(y0_src), \n",
- " torch.tensor(q_src), \n",
- " torch.tensor(phi_src),\n",
- " torch.tensor(n_src),\n",
- " torch.tensor(Re_src),\n",
- " torch.tensor(Ie_src),\n",
- " name = \"sersic\",\n",
- " )\n",
- " fig, axarr = plt.subplots(1, 3, figsize = (18,6))\n",
- " brightness = avg_pool2d(source.brightness(thx, thy)[None, None, :, :], upsample_factor)[0,0]\n",
- " axarr[0].imshow(brightness, origin = \"lower\")\n",
- " axarr[0].set_title(\"Sersic source\")\n",
- " kappa = avg_pool2d(lens.convergence(thx, thy, z_s)[None, None, :, :], upsample_factor)[0,0]\n",
- " axarr[1].imshow(torch.log10(kappa), origin = \"lower\")\n",
- " axarr[1].set_title(\"lens log(convergence)\")\n",
- " beta_x, beta_y = lens.raytrace(thx, thy, z_s)\n",
- " mu = avg_pool2d(source.brightness(beta_x, beta_y)[None, None, :, :], upsample_factor)[0,0]\n",
- " axarr[2].imshow(mu, origin = \"lower\")\n",
- " axarr[2].set_title(\"Sersic lensed\")\n",
- " plt.show()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "id": "c03161b9",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "bf5b0b99b5704fbf9a7fd44504af4fde",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "interactive(children=(FloatSlider(value=0.0, description='x0_lens', max=2.5, min=-2.5), FloatSlider(value=0.0,…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "p = interact(\n",
- " plot_lens_distortion, \n",
- " x0_lens=(-2.5, 2.5, 0.1), \n",
- " y0_lens=(-2.5, 2.5, 0.1), \n",
- " q_lens=(0.01, 0.99, 0.01), \n",
- " phi_lens=(0., np.pi, np.pi/25),\n",
- " b_lens=(0.1, 2., .1),\n",
- " x0_src=(-2.5, 2.5, 0.1), \n",
- " y0_src=(-2.5, 2.5, 0.1), \n",
- " q_src=(0.01, 0.99, 0.01), \n",
- " phi_src=(0., np.pi, np.pi/25),\n",
- " n_src=(0.5,4,0.1),\n",
- " Re_src=(0.1,2,0.1),\n",
- " Ie_src=(0.1,2.,0.1),\n",
- ")"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "id": "35336e43",
- "metadata": {},
- "outputs": [],
- "source": []
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "PY39",
- "language": "python",
- "name": "py39"
- },
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 3
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.5"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 5
-}
diff --git a/docs/source/tutorials/Simulators.ipynb b/docs/source/tutorials/Simulators.ipynb
deleted file mode 100644
index 3e24e793..00000000
--- a/docs/source/tutorials/Simulators.ipynb
+++ /dev/null
@@ -1,960 +0,0 @@
-{
- "cells": [
- {
- "cell_type": "markdown",
- "id": "f3ed209f",
- "metadata": {},
- "source": [
- "# Now you're thinking with Simulators\n",
- "\n",
- "At least, you will by the end of the tutorial."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 1,
- "id": "89275b65",
- "metadata": {},
- "outputs": [],
- "source": [
- "%load_ext autoreload\n",
- "%autoreload 2\n",
- "\n",
- "import torch\n",
- "from torch.nn.functional import avg_pool2d\n",
- "import matplotlib.pyplot as plt\n",
- "from astropy.io import fits\n",
- "import numpy as np\n",
- "\n",
- "import caustic"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "id": "88a9200a",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "FlatLambdaCDM(\n",
- " name='cosmo',\n",
- " static=[h0, critical_density_0, Om0],\n",
- " dynamic=[],\n",
- " x keys=[]\n",
- ")"
- ]
- },
- "execution_count": 2,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "# Specify the image/cosmology parameters\n",
- "n_pix = 100\n",
- "res = 0.05\n",
- "upsample_factor = 2\n",
- "fov = res * n_pix\n",
- "thx, thy = caustic.get_meshgrid(res/upsample_factor, upsample_factor*n_pix, upsample_factor*n_pix, dtype=torch.float32)\n",
- "z_l = torch.tensor(0.5, dtype=torch.float32)\n",
- "z_s = torch.tensor(1.5, dtype=torch.float32)\n",
- "cosmology = caustic.FlatLambdaCDM(name = \"cosmo\")\n",
- "cosmology.to(dtype=torch.float32)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "id": "1665abeb",
- "metadata": {},
- "outputs": [],
- "source": [
- "# demo simulator with sersic source, SIE lens. then sample some examples. demo the model graph\n",
- "\n",
- "class Simple_Sim(caustic.Simulator):\n",
- " def __init__(\n",
- " self,\n",
- " lens,\n",
- " src,\n",
- " z_s=None,\n",
- " name: str = \"sim\",\n",
- " ):\n",
- " super().__init__(name) # need this so `Parametrized` can do its magic\n",
- " \n",
- " # These are the lens and source objects to keep track of\n",
- " self.lens = lens\n",
- " self.src = src\n",
- " \n",
- " # Here we can add a parameter to the simulator, in this case it is `z_s` which we will need later\n",
- " self.add_param(\"z_s\", z_s)\n",
- "\n",
- " def forward(self, params):# define the forward model\n",
- " # Here the simulator unpacks the parameter it needs\n",
- " z_s = self.unpack(params)\n",
- "\n",
- " # Note this is very similar to before, except the packed up `x` is all the raytrace function needs to work\n",
- " bx, by = self.lens.raytrace(thx, thy, z_s, params)\n",
- " mu_fine = self.src.brightness(bx, by, params)\n",
- " \n",
- " # We return the sampled brightness at each pixel location\n",
- " return avg_pool2d(mu_fine.squeeze()[None, None], upsample_factor)[0, 0]"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "id": "0babaead",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/svg+xml": [
- "\n",
- "\n",
- "\n",
- "\n",
- "\n",
- "\n",
- "%3 \n",
- " \n",
- "\n",
- "\n",
- "sim \n",
- "\n",
- "Simple_Sim('sim') \n",
- " \n",
- "\n",
- "\n",
- "sim/z_s \n",
- " \n",
- "z_s \n",
- " \n",
- "\n",
- "\n",
- "sim->sim/z_s \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie \n",
- "\n",
- "SIE('sie') \n",
- " \n",
- "\n",
- "\n",
- "sim->sie \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "src \n",
- "\n",
- "Sersic('src') \n",
- " \n",
- "\n",
- "\n",
- "sim->src \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie/z_l \n",
- " \n",
- "z_l \n",
- " \n",
- "\n",
- "\n",
- "sie->sie/z_l \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie/x0 \n",
- " \n",
- "x0 \n",
- " \n",
- "\n",
- "\n",
- "sie->sie/x0 \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie/y0 \n",
- " \n",
- "y0 \n",
- " \n",
- "\n",
- "\n",
- "sie->sie/y0 \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie/q \n",
- " \n",
- "q \n",
- " \n",
- "\n",
- "\n",
- "sie->sie/q \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie/phi \n",
- " \n",
- "phi \n",
- " \n",
- "\n",
- "\n",
- "sie->sie/phi \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie/b \n",
- " \n",
- "b \n",
- " \n",
- "\n",
- "\n",
- "sie->sie/b \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "src/x0 \n",
- " \n",
- "x0 \n",
- " \n",
- "\n",
- "\n",
- "src->src/x0 \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "src/y0 \n",
- " \n",
- "y0 \n",
- " \n",
- "\n",
- "\n",
- "src->src/y0 \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "src/q \n",
- " \n",
- "q \n",
- " \n",
- "\n",
- "\n",
- "src->src/q \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "src/phi \n",
- " \n",
- "phi \n",
- " \n",
- "\n",
- "\n",
- "src->src/phi \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "src/n \n",
- " \n",
- "n \n",
- " \n",
- "\n",
- "\n",
- "src->src/n \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "src/Re \n",
- " \n",
- "Re \n",
- " \n",
- "\n",
- "\n",
- "src->src/Re \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "src/Ie \n",
- " \n",
- "Ie \n",
- " \n",
- "\n",
- "\n",
- "src->src/Ie \n",
- " \n",
- " \n",
- " \n",
- " \n",
- " \n"
- ],
- "text/plain": [
- ""
- ]
- },
- "execution_count": 4,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "sie = caustic.lenses.SIE(cosmology, name = \"sie\")\n",
- "src = caustic.sources.Sersic(name = \"src\")\n",
- "\n",
- "sim = Simple_Sim(sie, src, torch.tensor(0.8))\n",
- "\n",
- "sim.get_graph(True, True)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "id": "e672be73",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- ""
- ]
- },
- "execution_count": 5,
- "metadata": {},
- "output_type": "execute_result"
- },
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "# Reading the x_keys above we can input the parameters that we would like the simulator to evaluate\n",
- "x = torch.tensor([\n",
- " z_l.item(), # sie z_l\n",
- " 0.7, # sie x0\n",
- " 0.13, # sie y0\n",
- " 0.4, # sie q\n",
- " np.pi/5, # sie phi\n",
- " 1., # sie b\n",
- " 0.2, # src x0\n",
- " 0.5, # src y0\n",
- " 0.5, # src q\n",
- " -np.pi/4, # src phi\n",
- " 1.5, # src n\n",
- " 2.5, # src Re\n",
- " 1., # src Ie\n",
- "])\n",
- "plt.imshow(sim(x), origin=\"lower\")"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 7,
- "id": "fe16052c",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/svg+xml": [
- "\n",
- "\n",
- "\n",
- "\n",
- "\n",
- "\n",
- "%3 \n",
- " \n",
- "\n",
- "\n",
- "sim \n",
- "\n",
- "Simple_Sim('sim') \n",
- " \n",
- "\n",
- "\n",
- "sim/z_s \n",
- " \n",
- "z_s \n",
- " \n",
- "\n",
- "\n",
- "sim->sim/z_s \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie_1 \n",
- "\n",
- "SIE('sie_1') \n",
- " \n",
- "\n",
- "\n",
- "sim->sie_1 \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "ESO479-G1 \n",
- "\n",
- "Pixelated('ESO479-G1') \n",
- " \n",
- "\n",
- "\n",
- "sim->ESO479-G1 \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie_1/z_l \n",
- " \n",
- "z_l \n",
- " \n",
- "\n",
- "\n",
- "sie_1->sie_1/z_l \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie_1/x0 \n",
- " \n",
- "x0 \n",
- " \n",
- "\n",
- "\n",
- "sie_1->sie_1/x0 \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie_1/y0 \n",
- " \n",
- "y0 \n",
- " \n",
- "\n",
- "\n",
- "sie_1->sie_1/y0 \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie_1/q \n",
- " \n",
- "q \n",
- " \n",
- "\n",
- "\n",
- "sie_1->sie_1/q \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie_1/phi \n",
- " \n",
- "phi \n",
- " \n",
- "\n",
- "\n",
- "sie_1->sie_1/phi \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie_1/b \n",
- " \n",
- "b \n",
- " \n",
- "\n",
- "\n",
- "sie_1->sie_1/b \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "ESO479-G1/x0 \n",
- " \n",
- "x0 \n",
- " \n",
- "\n",
- "\n",
- "ESO479-G1->ESO479-G1/x0 \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "ESO479-G1/y0 \n",
- " \n",
- "y0 \n",
- " \n",
- "\n",
- "\n",
- "ESO479-G1->ESO479-G1/y0 \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "ESO479-G1/pixelscale \n",
- " \n",
- "pixelscale \n",
- " \n",
- "\n",
- "\n",
- "ESO479-G1->ESO479-G1/pixelscale \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "ESO479-G1/image \n",
- " \n",
- "image \n",
- " \n",
- "\n",
- "\n",
- "ESO479-G1->ESO479-G1/image \n",
- " \n",
- " \n",
- " \n",
- " \n",
- " \n"
- ],
- "text/plain": [
- ""
- ]
- },
- "execution_count": 7,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "sie = caustic.lenses.SIE(cosmology,name = \"sie\")\n",
- "hdu = fits.open(\"https://www.legacysurvey.org/viewer/fits-cutout?ra=36.3684&dec=-25.6389&size=250&layer=ls-dr9&pixscale=0.262&bands=r\")\n",
- "image_data = np.array(hdu[0].data, dtype = np.float64)\n",
- "src = caustic.sources.Pixelated(name = \"ESO479-G1\", image = torch.tensor(image_data, dtype = torch.float32))\n",
- "\n",
- "sim2 = Simple_Sim(sie, src, torch.tensor(0.8))\n",
- "\n",
- "sim2.get_graph(True, True)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 8,
- "id": "b9921f68",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "# x can also be a dict\n",
- "x = torch.tensor([\n",
- " z_l.item(), # sie z_l\n",
- " 0.2, # sie x0\n",
- " 0.1, # sie y0\n",
- " 0.4, # sie q\n",
- " np.pi/5, # sie phi\n",
- " 1., # sie b\n",
- " 0.0, # src x0\n",
- " 0.0, # src y0\n",
- " 0.01, # src pixelscale\n",
- "])\n",
- "fig, axarr = plt.subplots(1, 2, figsize = (12,6))\n",
- "axarr[0].imshow(image_data, origin = \"lower\")\n",
- "axarr[0].set_title(\"Source image\")\n",
- "axarr[1].imshow(sim2(x), origin=\"lower\")\n",
- "axarr[1].set_title(\"Lensed image\")\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "e16ca698",
- "metadata": {},
- "source": [
- "## Setting static/dynamic parameters\n",
- "\n",
- "So far we have assumed that all parameters for the source and lens are being modelled. However, it is often the case that a parameter can/must be fixed for a given science case. It is very easy to do this in Caustic, simply pass the fixed value when constructing the lens/source objects.\n",
- "\n",
- "Below we have fixed some parameters in our simulator by providing them when constructing the objects. In the graph they now appear as greyed boxes. In fact we can see now that the cosmology object `FlatLambdaCDM` had fixed parameters all along. This is because there are natural default parameters for such a cosmology. It is possible, of course, to make a different cosmology object which has alternate values, or which leaves some values as free parameters.\n",
- "\n",
- "In general, to set a parameter as dynamic (must be passed to the simulator) just set it to `None`, to fix a parameter give it a value."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 10,
- "id": "91d3cf26",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/svg+xml": [
- "\n",
- "\n",
- "\n",
- "\n",
- "\n",
- "\n",
- "%3 \n",
- " \n",
- "\n",
- "\n",
- "sim \n",
- "\n",
- "Simple_Sim('sim') \n",
- " \n",
- "\n",
- "\n",
- "sim/z_s \n",
- " \n",
- "z_s \n",
- " \n",
- "\n",
- "\n",
- "sim->sim/z_s \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie_3 \n",
- "\n",
- "SIE('sie_3') \n",
- " \n",
- "\n",
- "\n",
- "sim->sie_3 \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "src \n",
- "\n",
- "Sersic('src') \n",
- " \n",
- "\n",
- "\n",
- "sim->src \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie_3/q \n",
- " \n",
- "q \n",
- " \n",
- "\n",
- "\n",
- "sie_3->sie_3/q \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie_3/phi \n",
- " \n",
- "phi \n",
- " \n",
- "\n",
- "\n",
- "sie_3->sie_3/phi \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie_3/b \n",
- " \n",
- "b \n",
- " \n",
- "\n",
- "\n",
- "sie_3->sie_3/b \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie_3/z_l \n",
- " \n",
- "z_l \n",
- " \n",
- "\n",
- "\n",
- "sie_3->sie_3/z_l \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie_3/x0 \n",
- " \n",
- "x0 \n",
- " \n",
- "\n",
- "\n",
- "sie_3->sie_3/x0 \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "sie_3/y0 \n",
- " \n",
- "y0 \n",
- " \n",
- "\n",
- "\n",
- "sie_3->sie_3/y0 \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "src/x0 \n",
- " \n",
- "x0 \n",
- " \n",
- "\n",
- "\n",
- "src->src/x0 \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "src/y0 \n",
- " \n",
- "y0 \n",
- " \n",
- "\n",
- "\n",
- "src->src/y0 \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "src/q \n",
- " \n",
- "q \n",
- " \n",
- "\n",
- "\n",
- "src->src/q \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "src/phi \n",
- " \n",
- "phi \n",
- " \n",
- "\n",
- "\n",
- "src->src/phi \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "src/Re \n",
- " \n",
- "Re \n",
- " \n",
- "\n",
- "\n",
- "src->src/Re \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "src/Ie \n",
- " \n",
- "Ie \n",
- " \n",
- "\n",
- "\n",
- "src->src/Ie \n",
- " \n",
- " \n",
- " \n",
- "\n",
- "\n",
- "src/n \n",
- " \n",
- "n \n",
- " \n",
- "\n",
- "\n",
- "src->src/n \n",
- " \n",
- " \n",
- " \n",
- " \n",
- " \n"
- ],
- "text/plain": [
- ""
- ]
- },
- "execution_count": 10,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
- "sief = caustic.lenses.SIE(name = \"sie\", cosmology = cosmology, z_l = torch.tensor(0.5), x0 = torch.tensor(0.), y0 = torch.tensor(0.))\n",
- "srcf = caustic.sources.Sersic(name = \"src\", n = torch.tensor(2.))\n",
- "\n",
- "simf = Simple_Sim(sief, srcf, z_s = torch.tensor(0.8))\n",
- "\n",
- "simf.get_graph(True, True)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 11,
- "id": "6b029159",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- ""
- ]
- },
- "execution_count": 11,
- "metadata": {},
- "output_type": "execute_result"
- },
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "# Reading the x_keys above we can input the parameters that we would like the simulator to evaluate\n",
- "x = torch.tensor([\n",
- " 0.4, # sie q\n",
- " np.pi/5, # sie phi\n",
- " 1., # sie b\n",
- " -0.2, # src x0\n",
- " -0.5, # src y0\n",
- " 0.5, # src q\n",
- " -np.pi/4, # src phi\n",
- " 2.5, # src Re\n",
- " 1., # src Ie\n",
- "])\n",
- "plt.imshow(simf(x), origin=\"lower\")"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "id": "6e244b74",
- "metadata": {},
- "outputs": [],
- "source": []
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "PY39",
- "language": "python",
- "name": "py39"
- },
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 3
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.5"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 5
-}
diff --git a/docs/source/tutorials/VisualizeCaustics.ipynb b/docs/source/tutorials/VisualizeCaustics.ipynb
deleted file mode 100644
index dfbd75b7..00000000
--- a/docs/source/tutorials/VisualizeCaustics.ipynb
+++ /dev/null
@@ -1,183 +0,0 @@
-{
- "cells": [
- {
- "cell_type": "markdown",
- "id": "3bb2cd70-e98d-4e8d-b195-64d7e5de6e13",
- "metadata": {},
- "source": [
- "# Visualize Caustics\n",
- "\n",
- "Here we will demonstrate how to collect caustic lines using caustic! Since caustic (the code) uses autodiff and can get exact derivatives, it is actually very acurate at computing caustics. \n",
- "\n",
- "Conceptually a caustic occurs where the magnification of a lens diverges to infinity. A convenient way to measure the magnification in the image plane is by taking the determinant ($det$) of the jacobian of the lens equation ($A$), its reciprocal is the magnification. This means that anywhere that $det(A) = 0$ is a critical line in the image plane (magnification goes to infinity). If we take this line and raytrace it back to the source plane we can see the caustics which define boundaries for lensing phenomena."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 1,
- "id": "f716feef",
- "metadata": {},
- "outputs": [],
- "source": [
- "%load_ext autoreload\n",
- "%autoreload 2\n",
- "\n",
- "import torch\n",
- "from torch.nn.functional import avg_pool2d\n",
- "import matplotlib.pyplot as plt\n",
- "from ipywidgets import interact\n",
- "from astropy.io import fits\n",
- "import numpy as np\n",
- "from time import process_time as time\n",
- "\n",
- "import caustic"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "id": "bdede2df",
- "metadata": {},
- "outputs": [],
- "source": [
- "# initialization stuff for an SIE lens\n",
- "\n",
- "cosmology = caustic.FlatLambdaCDM(name = \"cosmo\")\n",
- "cosmology.to(dtype=torch.float32)\n",
- "sie = caustic.SIE(cosmology, name = \"sie\")\n",
- "n_pix = 100\n",
- "res = 0.05\n",
- "upsample_factor = 2\n",
- "fov = res * n_pix\n",
- "thx, thy = caustic.get_meshgrid(res/upsample_factor, upsample_factor*n_pix, upsample_factor*n_pix, dtype=torch.float32)\n",
- "z_l = torch.tensor(0.5, dtype=torch.float32)\n",
- "z_s = torch.tensor(1.5, dtype=torch.float32)\n",
- "x = torch.tensor([\n",
- " z_l.item(), # sie z_l\n",
- " 0., # sie x0\n",
- " 0., # sie y0\n",
- " 0.4, # sie q\n",
- " np.pi/5, # sie phi\n",
- " 1., # sie b\n",
- "])\n",
- "packparams = sie.pack(x)"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "38dd09e3",
- "metadata": {},
- "source": [
- "## Critical Lines\n",
- "\n",
- "Before we can see the caustics, we need to find the critical lines. The critical lines are the locus of points in the lens plane (the plane of the mass causing the lensing) at which the magnification of the source becomes theoretically infinite for a point source. In simpler terms, it is where the lensing effect becomes so strong that it can create highly magnified and distorted images of the source. The shape and size of the critical curve depend on the distribution of mass in the lensing object. These lines can be found using the Jacobian of the lensing deflection, specifically $A = \\mathbb{I} - J$. When ${\\rm det}(A) = 0$, that point is on the critical line. Interestingly, $\\frac{1}{{\\rm det}(A)}$ is the magnification, which is why ${\\rm det}(A) = 0$ defines the points of infinite magnification."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "id": "487b3030",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "# Conveniently caustic has a function to compute the jacobian of the lens equation\n",
- "A = sie.jacobian_lens_equation(thx, thy, z_s, packparams)\n",
- "# Note that if this is too slow you can set `method = \"finitediff\"` to run a faster version. You will also need to provide `pixelscale` then\n",
- "\n",
- "# Here we compute A's determinant at every point\n",
- "detA = torch.linalg.det(A)\n",
- "\n",
- "# Plot the critical line\n",
- "im = plt.imshow(detA, extent = (thx[0][0], thx[0][-1], thy[0][0], thy[-1][0]), origin = \"lower\")\n",
- "plt.colorbar(im)\n",
- "CS = plt.contour(thx, thy, detA, levels = [0.], colors = \"b\")\n",
- "\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "3b099cfd",
- "metadata": {},
- "source": [
- "## Caustics\n",
- "\n",
- "Critical lines show us where the magnification approaches infinity, they are important structures in understanding a lensing system. These lines are also very useful when mapped into the source plane. When the critical lines are raytraced back to the source plane they are called caustics (see what we did there?). In the source plane these lines deliniate when a source will be multiply imaged. "
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "id": "0c1f1177",
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "# Get the path from the matplotlib contour plot of the critical line\n",
- "paths = CS.collections[0].get_paths()\n",
- "caustic_paths = []\n",
- "for path in paths:\n",
- " # Collect the path into a descrete set of points\n",
- " vertices = path.interpolated(5).vertices\n",
- " x1 = torch.tensor(list(float(vs[0]) for vs in vertices))\n",
- " x2 = torch.tensor(list(float(vs[1]) for vs in vertices))\n",
- " # raytrace the points to the source plane\n",
- " y1,y2 = sie.raytrace(x1, x2, z_s, packparams)\n",
- "\n",
- " # Plot the caustic\n",
- " plt.plot(y1,y2)\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "id": "1e77da2e",
- "metadata": {},
- "outputs": [],
- "source": []
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "PY39",
- "language": "python",
- "name": "py39"
- },
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 3
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.5"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 5
-}