diff --git a/.github/workflows/build_check.yml b/.github/workflows/build_check.yml index b3944dfed..785a154c3 100644 --- a/.github/workflows/build_check.yml +++ b/.github/workflows/build_check.yml @@ -68,7 +68,7 @@ jobs: - name: Install prereq and NumCosmo using conda run: | echo "$CONDA/bin" >> $GITHUB_PATH - conda install -c conda-forge gobject-introspection pygobject 'numcosmo<=0.22.0' cmake swig setuptools_scm + conda install -c conda-forge gobject-introspection pygobject 'numcosmo<=0.24' cmake swig setuptools_scm - name: Install prereq using pip run: | pip install -r requirements.txt diff --git a/clmm/__init__.py b/clmm/__init__.py index 16e6b9fec..34655a6e0 100644 --- a/clmm/__init__.py +++ b/clmm/__init__.py @@ -27,4 +27,4 @@ ) from .utils import compute_radial_averages, convert_units, make_bins -__version__ = "1.16.8" +__version__ = "1.16.9" diff --git a/clmm/theory/numcosmo.py b/clmm/theory/numcosmo.py index 63ae1ad06..6f7ad09d0 100644 --- a/clmm/theory/numcosmo.py +++ b/clmm/theory/numcosmo.py @@ -54,9 +54,9 @@ def __init__( Ncm.cfg_init() self.backend = "nc" self.mdef_dict = { - "mean": Nc.HaloDensityProfileMassDef.MEAN, - "critical": Nc.HaloDensityProfileMassDef.CRITICAL, - "virial": Nc.HaloDensityProfileMassDef.VIRIAL, + "mean": Nc.HaloMassSummaryMassDef.MEAN, + "critical": Nc.HaloMassSummaryMassDef.CRITICAL, + "virial": Nc.HaloMassSummaryMassDef.VIRIAL, } self.hdpm_dict = { "nfw": Nc.HaloDensityProfileNFW.new, @@ -64,6 +64,7 @@ def __init__( "hernquist": Nc.HaloDensityProfileHernquist.new, } self.cosmo_class = NumCosmoCosmology + self._hms = None # Set halo profile and cosmology self.set_halo_density_profile(halo_profile_model, massdef, delta_mdef) self.set_cosmo(None) @@ -76,34 +77,35 @@ def _update_halo_density_profile(self): has_cm_vals = self.hdpm is not None if has_cm_vals: cdelta = self.cdelta - log10_mdelta = self.hdpm.props.log10MDelta + log10_mdelta = self._hms.props.log10MDelta - self.hdpm = self.hdpm_dict[self.halo_profile_model]( - self.mdef_dict[self.massdef], self.delta_mdef - ) + self._hms = Nc.HaloCMParam.new(self.mdef_dict[self.massdef], self.delta_mdef) + + self.hdpm = self.hdpm_dict[self.halo_profile_model](self._hms) if has_cm_vals: self.cdelta = cdelta - self.hdpm.props.log10MDelta = log10_mdelta + self._hms.props.cDelta = cdelta + self._hms.props.log10MDelta = log10_mdelta self._update_vec_funcs() def _get_concentration(self): """get concentration""" - return self.hdpm.props.cDelta + return self._hms.props.cDelta def _get_mass(self): """get mass""" - return 10**self.hdpm.props.log10MDelta + return 10**self._hms.props.log10MDelta def _set_concentration(self, cdelta): """set concentration""" - self.hdpm.props.cDelta = cdelta + self._hms.props.cDelta = cdelta self._update_vec_funcs() def _set_mass(self, mdelta): """set mass""" - self.hdpm.props.log10MDelta = math.log10(mdelta) + self._hms.props.log10MDelta = math.log10(mdelta) self._update_vec_funcs() def _set_einasto_alpha(self, alpha): @@ -122,7 +124,7 @@ def _get_delta_mdef_virial(self, z_cl): "Gets the virial overdensity" # This fuction can return the overdensity for all mass definitions, # but in CLMM, we only use it in the case of massdef='virial'. - return self.hdpm.Delta(self.cosmo.be_cosmo, z_cl) + return self._hms.Delta(self.cosmo.be_cosmo, z_cl) def _eval_reduced_tangential_shear_core(self, r_proj, z_cl, z_src): """eval reduced tangential shear considering a single redshift plane diff --git a/examples/NumCosmo/Example1_Fit_Halo_Mass_to_Shear_Catalog_NC.ipynb b/examples/NumCosmo/Example1_Fit_Halo_Mass_to_Shear_Catalog_NC.ipynb index a7eaaf820..a7b0a446c 100644 --- a/examples/NumCosmo/Example1_Fit_Halo_Mass_to_Shear_Catalog_NC.ipynb +++ b/examples/NumCosmo/Example1_Fit_Halo_Mass_to_Shear_Catalog_NC.ipynb @@ -650,8 +650,8 @@ "mset2 = ggt2.moo.get_mset()\n", "\n", "# Parameters: cluster mass (log base 10) and concentration\n", - "log10MDelta_pi = mset1.param_get_by_full_name(\"NcHaloDensityProfile:log10MDelta\")\n", - "cDelta_pi = mset1.param_get_by_full_name(\"NcHaloDensityProfile:cDelta\")\n", + "log10MDelta_pi = mset1.param_get_by_full_name(\"NcHaloMassSummary:log10MDelta\")\n", + "cDelta_pi = mset1.param_get_by_full_name(\"NcHaloMassSummary:cDelta\")\n", "\n", "mset1.param_set_ftype(log10MDelta_pi.mid, log10MDelta_pi.pid, Ncm.ParamType.FREE)\n", "mset1.param_set_ftype(cDelta_pi.mid, cDelta_pi.pid, Ncm.ParamType.FIXED)\n", diff --git a/examples/NumCosmo/Example2_Fit_Halo_Mass_to_Shear_Catalog_NC.ipynb b/examples/NumCosmo/Example2_Fit_Halo_Mass_to_Shear_Catalog_NC.ipynb index eee132d3e..d866ce99e 100644 --- a/examples/NumCosmo/Example2_Fit_Halo_Mass_to_Shear_Catalog_NC.ipynb +++ b/examples/NumCosmo/Example2_Fit_Halo_Mass_to_Shear_Catalog_NC.ipynb @@ -561,8 +561,8 @@ "mset3 = ggt3.moo.get_mset()\n", "\n", "# Parameters: cluster mass (log base 10) and concentration\n", - "MDelta_pi = mset1.param_get_by_full_name(\"NcHaloDensityProfile:log10MDelta\")\n", - "cDelta_pi = mset1.param_get_by_full_name(\"NcHaloDensityProfile:cDelta\")\n", + "MDelta_pi = mset1.param_get_by_full_name(\"NcHaloMassSummary:log10MDelta\")\n", + "cDelta_pi = mset1.param_get_by_full_name(\"NcHaloMassSummary:cDelta\")\n", "\n", "mset1.param_set_ftype(MDelta_pi.mid, MDelta_pi.pid, Ncm.ParamType.FREE)\n", "mset1.param_set_ftype(cDelta_pi.mid, cDelta_pi.pid, Ncm.ParamType.FREE)\n", diff --git a/examples/NumCosmo/modeling_cmp_numcosmo.ipynb b/examples/NumCosmo/modeling_cmp_numcosmo.ipynb index d55984e78..81f60e5e5 100644 --- a/examples/NumCosmo/modeling_cmp_numcosmo.ipynb +++ b/examples/NumCosmo/modeling_cmp_numcosmo.ipynb @@ -10,7 +10,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -22,7 +22,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -37,7 +37,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -65,17 +65,9 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.31240715689016263 0.311\n" - ] - } - ], + "outputs": [], "source": [ "# If CCL is installed, define a CCL cosmology object\n", "# import pyccl as ccl\n", @@ -102,7 +94,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -125,7 +117,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -144,18 +136,9 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "-3.044553118503046e-07\n", - "5.473165719149797e-05\n" - ] - } - ], + "outputs": [], "source": [ "#########################\n", "# Initializing NumCosmo #\n", @@ -193,9 +176,10 @@ "##########################\n", "\n", "# NumCosmo Density profile\n", - "dp = Nc.HaloDensityProfileNFW.new(Nc.HaloDensityProfileMassDef.MEAN, mass_Delta)\n", - "dp.props.log10MDelta = math.log10(cluster_mass)\n", - "dp.props.cDelta = cluster_concentration\n", + "hms = Nc.HaloCMParam.new(Nc.HaloMassSummaryMassDef.MEAN, mass_Delta)\n", + "dp = Nc.HaloDensityProfileNFW.new(hms)\n", + "hms.props.log10MDelta = math.log10(cluster_mass)\n", + "hms.props.cDelta = cluster_concentration\n", "\n", "dist = Nc.Distance.new(z_max)\n", "smd = Nc.WLSurfaceMassDensity.new(dist)\n", @@ -229,7 +213,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -265,28 +249,9 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "rel diff min: 2.56099e-10\n", - "rel diff max: 6.37375e-07\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "Da_a = cosmo_ccl.eval_da_a1a2(a_a)\n", "nc_Da_a = np.array([dist.angular_diameter(cosmo, z) * cosmo.RH_Mpc() for z in z_a])\n", @@ -297,28 +262,9 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "rel diff min: 4.33022e-09\n", - "rel diff max: 1.09026e-06\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "rho = pp.compute_3d_density(\n", " r3d,\n", @@ -336,28 +282,9 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "rel diff min: 3.40127e-09\n", - "rel diff max: 9.52738e-07\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "Sigma = pp.compute_surface_density(\n", " r3d,\n", @@ -376,28 +303,9 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "rel diff min: 1.26903e-07\n", - "rel diff max: 1.11521e-06\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "DeltaSigma = pp.compute_excess_surface_density(\n", " r3d,\n", @@ -418,17 +326,9 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " 2.72212715708329e+15 2.72212730243513e+15 -5.339642e-08\n" - ] - } - ], + "outputs": [], "source": [ "Sigmac = cosmo_ccl.eval_sigma_crit(z_len=z_cluster, z_src=z_src)\n", "nc_Sigmac = smd.sigma_critical(cosmo, z_src, z_cluster, z_cluster)\n", @@ -438,28 +338,9 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "rel diff min: 1.80299e-07\n", - "rel diff max: 1.1686e-06\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "gammat = pp.compute_tangential_shear(\n", " r3d,\n", @@ -481,28 +362,9 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "rel diff min: 5.67977e-08\n", - "rel diff max: 1.00613e-06\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "kappa = pp.compute_convergence(\n", " r3d,\n", @@ -526,28 +388,9 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "rel diff min: 1.803e-07\n", - "rel diff max: 0.000177073\n" - ] - }, - { - "data": { - "image/png": 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "gt = pp.compute_reduced_tangential_shear(\n", " r3d,\n", @@ -571,7 +414,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -589,7 +432,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -602,7 +445,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -611,7 +454,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ diff --git a/examples/other_compare_NFW_critical_massdef.ipynb b/examples/other_compare_NFW_critical_massdef.ipynb index 79224581b..ab84b3e6d 100644 --- a/examples/other_compare_NFW_critical_massdef.ipynb +++ b/examples/other_compare_NFW_critical_massdef.ipynb @@ -197,9 +197,10 @@ "lnXf = math.log(1.0e4)\n", "improve_prec = True\n", "\n", - "nc_nfw = Nc.HaloDensityProfileNFW.new(Nc.HaloDensityProfileMassDef.CRITICAL, Delta)\n", - "nc_nfw.props.cDelta = cvir\n", - "nc_nfw.props.log10MDelta = math.log10(Mvir)\n", + "nc_hms = Nc.HaloCMParam.new(Nc.HaloMassSummaryMassDef.CRITICAL, Delta)\n", + "nc_nfw = Nc.HaloDensityProfileNFW.new(nc_hms)\n", + "nc_hms.props.cDelta = cvir\n", + "nc_hms.props.log10MDelta = math.log10(Mvir)\n", "\n", "if improve_prec:\n", " nc_nfw.set_reltol(reltol)\n", diff --git a/tests/test_theory_parent.py b/tests/test_theory_parent.py index db49f2490..65ae4e388 100644 --- a/tests/test_theory_parent.py +++ b/tests/test_theory_parent.py @@ -138,13 +138,13 @@ def test_instantiate(modeling_data): reduced_shear = mod.eval_reduced_tangential_shear(r_proj, z_cl, z_src) magnification = mod.eval_magnification(r_proj, z_cl, z_src) - assert_allclose(reduced_shear, shear / (1.0 - convergence), rtol=1.0e-12) + assert_allclose(reduced_shear, shear / (1.0 - convergence), rtol=1.0e-11) assert_allclose( - magnification, 1.0 / ((1.0 - convergence) ** 2 - np.abs(shear) ** 2), rtol=1.0e-12 + magnification, 1.0 / ((1.0 - convergence) ** 2 - np.abs(shear) ** 2), rtol=1.0e-11 ) reduced_shear = mod.eval_reduced_tangential_shear(r_proj, z_cl, np.full_like(r_proj, z_src)) - assert_allclose(reduced_shear, shear / (1.0 - convergence), rtol=1.0e-12) + assert_allclose(reduced_shear, shear / (1.0 - convergence), rtol=1.0e-11) def test_einasto(modeling_data):