From 373711c3372fc3d36ab90770024906dce79e9465 Mon Sep 17 00:00:00 2001 From: MARCHAND MANON Date: Wed, 29 May 2024 17:40:12 +0200 Subject: [PATCH] feat: add support for astropy regions --- CHANGELOG.md | 1 + docs/conf.py | 1 + docs/examples/user_documentation.rst | 1 + notebooks/from-astropy-regions.ipynb | 290 +++++++++++++++++++++++++++ pyproject.toml | 5 +- python/mocpy/moc/moc.py | 91 ++++++++- python/mocpy/tests/test_moc.py | 50 ++++- 7 files changed, 433 insertions(+), 6 deletions(-) create mode 100644 notebooks/from-astropy-regions.ipynb diff --git a/CHANGELOG.md b/CHANGELOG.md index 88e49950..466b6586 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -29,6 +29,7 @@ MOC and the Multi-order-map. `MOC.probability_in_multiordermap` has a similar behavior but also converts a probability-density into a probability. * `STMOC.new_empty()` allows to create a new empty Space-Time MOC. * `MOC.from_box` to create rectangular MOCs +* `MOC.from_astropy_regions` to create MOCs from astropy regions. ## [0.13.1] diff --git a/docs/conf.py b/docs/conf.py index f10eb8b7..4f8b9076 100644 --- a/docs/conf.py +++ b/docs/conf.py @@ -248,6 +248,7 @@ "matplotlib": ("https://matplotlib.org/", None), "networkx": ("https://networkx.github.io/documentation/stable/", None), "numpy": ("https://numpy.org/doc/stable/", None), + "regions": ("https://astropy-regions.readthedocs.io/en/stable", None), } diff --git a/docs/examples/user_documentation.rst b/docs/examples/user_documentation.rst index 26bc4a45..abf83b6a 100644 --- a/docs/examples/user_documentation.rst +++ b/docs/examples/user_documentation.rst @@ -15,6 +15,7 @@ Gallery of notebooks examples using SMOCs ../_collections/notebooks/filtering_astropy_table ../_collections/notebooks/FITS-image-pixels-intersecting-MOC ../_collections/notebooks/from_astropy_table.ipynb + ../_collections/notebooks/from-astropy-regions ../_collections/notebooks/from_polygon ../_collections/notebooks/from_fits_and_intersection ../_collections/notebooks/from_image_with_mask diff --git a/notebooks/from-astropy-regions.ipynb b/notebooks/from-astropy-regions.ipynb new file mode 100644 index 00000000..68b0a171 --- /dev/null +++ b/notebooks/from-astropy-regions.ipynb @@ -0,0 +1,290 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import regions\n", + "from astropy import units as u\n", + "from astropy.coordinates import SkyCoord\n", + "from mocpy import MOC" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Creating MOCs out of [astropy-regions](https://github.com/astropy/regions).\n", + "\n", + "The supported astropy regions are:\n", + "- regions.CircleSkyRegion\n", + "- regions.CircleAnnulusSkyRegion\n", + "- regions.EllipseSkyRegion\n", + "- regions.RectangleSkyRegion\n", + "- regions.PolygonSkyRegion\n", + "- regions.PointSkyRegion\n", + "\n", + "The resulting MOCs will always be the smallest MOC of the required order ( chosen with\n", + "`max_depth`) that entirely contains the region.\n", + "\n", + "## Circles" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "center = SkyCoord(42, 43, unit=\"deg\", frame=\"fk5\")\n", + "circle = regions.CircleSkyRegion(center, radius=3 * u.deg)\n", + "moc_circle = MOC.from_astropy_regions(circle, max_depth=8)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(5, 5))\n", + "wcs = moc_circle.wcs(fig)\n", + "ax = fig.add_subplot(projection=wcs)\n", + "moc_circle.border(ax, wcs)\n", + "circle.to_pixel(wcs).plot();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Rings" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ring = regions.CircleAnnulusSkyRegion(center, 3 * u.deg, 4 * u.deg)\n", + "moc_ring = MOC.from_astropy_regions(ring, max_depth=9)\n", + "\n", + "fig = plt.figure(figsize=(5, 5))\n", + "wcs = moc_ring.wcs(fig)\n", + "ax = fig.add_subplot(projection=wcs)\n", + "moc_ring.border(ax, wcs)\n", + "ring.to_pixel(wcs).plot();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Ellipses" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ellipse = regions.EllipseSkyRegion(center, 3 * u.deg, 6 * u.deg, 10 * u.deg)\n", + "moc_ellipse = MOC.from_astropy_regions(ellipse, max_depth=9)\n", + "\n", + "fig = plt.figure(figsize=(5, 5))\n", + "wcs = moc_ellipse.wcs(fig)\n", + "ax = fig.add_subplot(projection=wcs)\n", + "moc_ellipse.border(ax, wcs)\n", + "ellipse.to_pixel(wcs).plot();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Rectangles/Box" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "box = regions.RectangleSkyRegion(center, 12 * u.deg, 6 * u.deg, 10 * u.deg)\n", + "moc_box = MOC.from_astropy_regions(box, max_depth=8)\n", + "\n", + "fig = plt.figure(figsize=(5, 5))\n", + "wcs = moc_box.wcs(fig)\n", + "ax = fig.add_subplot(projection=wcs)\n", + "moc_box.border(ax, wcs)\n", + "box.to_pixel(wcs).plot();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Polygons" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "vertices = SkyCoord([1, 2, 2], [1, 1, 2], unit=\"deg\", frame=\"fk5\")\n", + "\n", + "polygon = regions.PolygonSkyRegion(vertices)\n", + "moc_polygon = MOC.from_astropy_regions(polygon, max_depth=10)\n", + "\n", + "fig = plt.figure(figsize=(5, 5))\n", + "wcs = moc_polygon.wcs(fig)\n", + "ax = fig.add_subplot(projection=wcs)\n", + "moc_polygon.fill(ax, wcs, alpha=0.2)\n", + "polygon.to_pixel(wcs).plot();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Points\n", + "\n", + "This will return the HEALPix cell that contains the point at the requested order\n", + "(here it's the cell 3663728 at order 10)." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "point = SkyCoord(\"+23h20m48.3s +61d12m06s\")\n", + "\n", + "point = regions.PointSkyRegion(point)\n", + "moc_point = MOC.from_astropy_regions(point, max_depth=10)\n", + "\n", + "fig = plt.figure(figsize=(5, 5))\n", + "wcs = moc_point.wcs(fig)\n", + "ax = fig.add_subplot(projection=wcs)\n", + "moc_point.fill(ax, wcs, alpha=0.2)\n", + "point.to_pixel(wcs).plot();" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "10/3663728 " + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "moc_point" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "mocpy-dev", + "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": "3.11.7" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/pyproject.toml b/pyproject.toml index bd72f745..f7d17f1d 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -23,6 +23,8 @@ classifiers = [ [project.optional-dependencies] # optional to load FITS from URLs query_fits = ["requests"] +# optional to support astropy regions +astropy_regions = ["regions"] # for the documentation docs = [ "astropy-sphinx-theme", @@ -43,7 +45,8 @@ dev = [ "pytest > 6.0", "pytest-mock", "pytest-cov", - "requests" + "requests", + "regions" ] # to run the notebooks notebooks = [ diff --git a/python/mocpy/moc/moc.py b/python/mocpy/moc/moc.py index e404b4cc..21425ad5 100644 --- a/python/mocpy/moc/moc.py +++ b/python/mocpy/moc/moc.py @@ -21,6 +21,7 @@ from astropy.utils.data import download_file with contextlib.suppress(ImportError): + import regions from astropy_healpix import HEALPix from .. import mocpy @@ -1031,7 +1032,7 @@ def from_cone(cls, lon, lat, radius, max_depth, delta_depth=2): np.uint8(delta_depth), ) return cls(index) - + @classmethod @validate_lonlat def from_box(cls, lon, lat, a, b, angle, max_depth): @@ -1080,7 +1081,7 @@ def from_box(cls, lon, lat, a, b, angle, max_depth): np.float64(a.to_value(u.deg)), np.float64(b.to_value(u.deg)), np.float64(angle.to_value(u.deg)), - np.uint8(max_depth) + np.uint8(max_depth), ) return cls(index) @@ -1254,6 +1255,92 @@ def from_stcs(cls, stcs, max_depth, delta_depth=2): index = mocpy.from_stcs(stcs, np.uint8(max_depth), np.uint8(delta_depth)) return cls(index) + @classmethod + def from_astropy_regions(cls, region, max_depth: int): + """Create a SMOC from an astropy regions. + + This creates the MOC of the requested order that contains entirely the astropy + region. See https://github.com/astropy/regions. + + Parameters + ---------- + region : `~regions.SkyRegion` + The supported sky regions are `~regions.CircleSkyRegion`, + `~regions.CircleAnnulusSkyRegion`, `~regions.EllipseSkyRegion`, + `~regions.RectangleSkyRegion`, `~regions.PolygonSkyRegion`, + `~regions.PointSkyRegion`. + max_depth : int + The maximum HEALPix cell resolution of the MOC. Should be comprised between + 0 and 29. + + Returns + ------- + `~mocpy.moc.MOC` + + Examples + -------- + >>> from astropy.coordinates import SkyCoord + >>> point = SkyCoord("+23h20m48.3s +61d12m06s") + >>> point_region = regions.PointSkyRegion(point) + >>> moc_point = MOC.from_astropy_regions(point_region, max_depth=10) + >>> moc_point + 10/3663728 + """ + supported_regions_types = ( + regions.CircleSkyRegion, + regions.CircleAnnulusSkyRegion, + regions.EllipseSkyRegion, + regions.RectangleSkyRegion, + regions.PolygonSkyRegion, + regions.PointSkyRegion, + ) + if isinstance(region, regions.CircleSkyRegion): + center = region.center.icrs + return cls.from_cone( + center.ra, + center.dec, + radius=region.radius, + max_depth=max_depth, + ) + if isinstance(region, regions.CircleAnnulusSkyRegion): + center = region.center.icrs + return cls.from_ring( + center.ra, + center.dec, + internal_radius=region.inner_radius, + external_radius=region.outer_radius, + max_depth=max_depth, + ) + if isinstance(region, regions.EllipseSkyRegion): + center = region.center.icrs + return cls.from_elliptical_cone( + center.ra, + center.dec, + a=region.height / 2, + b=region.width / 2, + pa=region.angle, + max_depth=max_depth, + ) + if isinstance(region, regions.RectangleSkyRegion): + center = region.center.icrs + return cls.from_box( + center.ra, + center.dec, + a=region.width / 2, + b=region.height / 2, + angle=region.angle + Angle("90d"), + max_depth=max_depth, + ) + if isinstance(region, regions.PolygonSkyRegion): + return cls.from_polygon_skycoord(region.vertices, max_depth=max_depth) + if isinstance(region, regions.PointSkyRegion): + return cls.from_skycoords(region.center, max_norder=max_depth) + + raise ValueError( + "'from_astropy_regions' not not support this region type." + f"The supported regions are: {supported_regions_types}", + ) + @classmethod def new_empty(cls, max_depth): """ diff --git a/python/mocpy/tests/test_moc.py b/python/mocpy/tests/test_moc.py index 683de7b6..9ffbe779 100644 --- a/python/mocpy/tests/test_moc.py +++ b/python/mocpy/tests/test_moc.py @@ -6,7 +6,8 @@ import cdshealpix import numpy as np import pytest -from astropy.coordinates import Angle, SkyCoord +import regions +from astropy.coordinates import Angle, Latitude, Longitude, SkyCoord from astropy.io import fits from astropy.io.votable import parse_single_table from astropy.table import QTable @@ -526,18 +527,61 @@ def test_from_ring(): max_depth=10, ) + def test_from_box(): a = Angle("10d") b = Angle("2d") moc = MOC.from_box( - lon=Longitude("0d"), lat=Latitude("0d"), - a=a, b=b, angle=Angle("30d"),max_depth=10) + lon=Longitude("0d"), + lat=Latitude("0d"), + a=a, + b=b, + angle=Angle("30d"), + max_depth=10, + ) area = moc.sky_fraction * 4 * math.pi * u.steradian # the moc covers a slightly bigger area than the region defined by the # parameters assert area.to(u.deg**2).value > 80 assert area.to(u.deg**2).value < 90 + +def test_from_astropy_regions(): + center = SkyCoord(42, 43, unit="deg", frame="fk5") + # circle + circle = regions.CircleSkyRegion(center, radius=3 * u.deg) + moc = MOC.from_astropy_regions(circle, max_depth=10) + assert round(moc.barycenter().ra.value) == 42 + assert round(moc.barycenter().dec.value) == 43 + assert round(moc.largest_distance_from_coo_to_vertices(center).to("deg").value) == 3 + # ring + ring = regions.CircleAnnulusSkyRegion(center, 3 * u.deg, 4 * u.deg) + moc = MOC.from_astropy_regions(ring, max_depth=9) + assert not moc.contains_skycoords(center) + # ellipse + ellipse = regions.EllipseSkyRegion(center, 3 * u.deg, 6 * u.deg, 10 * u.deg) + moc = MOC.from_astropy_regions(ellipse, max_depth=9) + assert moc.contains_skycoords(center) + assert round(moc.largest_distance_from_coo_to_vertices(center).to("deg").value) == 3 + # rectangle + box = regions.RectangleSkyRegion(center, 12 * u.deg, 6 * u.deg, 10 * u.deg) + moc = MOC.from_astropy_regions(box, max_depth=8) + assert all( + moc.contains_skycoords(SkyCoord([42, 45], [44, 44], unit="deg", frame="icrs")), + ) + # polygons + vertices = SkyCoord([1, 2, 2], [1, 1, 2], unit="deg", frame="fk5") + polygon = regions.PolygonSkyRegion(vertices) + moc = MOC.from_astropy_regions(polygon, max_depth=10) + assert all(moc.contains_skycoords(vertices)) + # points + point = SkyCoord("+23h20m48.3s +61d12m06s") + region_point = regions.PointSkyRegion(point) + moc = MOC.from_astropy_regions(region_point, max_depth=10) + assert moc.max_order == 10 + assert moc.contains_skycoords(point) + + # TODO: IMPROVE THE ALGO """ def test_boundaries():