From b7046b093a0458f1a1c411a61764984d17ccee09 Mon Sep 17 00:00:00 2001 From: Hsin Fan <57552401+hsinfan1996@users.noreply.github.com> Date: Wed, 17 Jul 2024 14:01:01 +0800 Subject: [PATCH] Update NB to fix docs compiling --- examples/demo_theory_functionality_oo.ipynb | 261 ++++++++++++++++---- 1 file changed, 210 insertions(+), 51 deletions(-) diff --git a/examples/demo_theory_functionality_oo.ipynb b/examples/demo_theory_functionality_oo.ipynb index 054bed4e9..360521414 100644 --- a/examples/demo_theory_functionality_oo.ipynb +++ b/examples/demo_theory_functionality_oo.ipynb @@ -66,7 +66,7 @@ { "data": { "text/plain": [ - "'1.12.2'" + "'1.12.3'" ] }, "execution_count": 3, @@ -134,28 +134,13 @@ "metadata": {}, "outputs": [ { - "name": "stdout", + "name": "stderr", "output_type": "stream", "text": [ - "\n" - ] - }, - { - "ename": "ValueError", - "evalue": "The truth value of an array with more than one element is ambiguous. Use a.any() or a.all()", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn[6], line 4\u001b[0m\n\u001b[1;32m 2\u001b[0m rho \u001b[38;5;241m=\u001b[39m moo\u001b[38;5;241m.\u001b[39meval_3d_density(r3d, z_cl)\n\u001b[1;32m 3\u001b[0m Sigma \u001b[38;5;241m=\u001b[39m moo\u001b[38;5;241m.\u001b[39meval_surface_density(r3d, z_cl)\n\u001b[0;32m----> 4\u001b[0m Sigma_mis \u001b[38;5;241m=\u001b[39m \u001b[43mmoo\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43meval_surface_density\u001b[49m\u001b[43m(\u001b[49m\u001b[43mr3d\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mz_cl\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mr_mis\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m0.2\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[1;32m 5\u001b[0m DeltaSigma \u001b[38;5;241m=\u001b[39m moo\u001b[38;5;241m.\u001b[39meval_excess_surface_density(r3d, z_cl)\n\u001b[1;32m 6\u001b[0m gammat \u001b[38;5;241m=\u001b[39m moo\u001b[38;5;241m.\u001b[39meval_tangential_shear(r3d, z_cl, z_src)\n", - "File \u001b[0;32m~/opt/anaconda3/envs/wrk/lib/python3.10/site-packages/clmm-1.12.2-py3.10.egg/clmm/theory/parent_class.py:622\u001b[0m, in \u001b[0;36mCLMModeling.eval_surface_density\u001b[0;34m(self, r_proj, z_cl, r_mis, verbose)\u001b[0m\n\u001b[1;32m 620\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_eval_surface_density(r_proj\u001b[38;5;241m=\u001b[39mr_proj, z_cl\u001b[38;5;241m=\u001b[39mz_cl)\n\u001b[1;32m 621\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[0;32m--> 622\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_eval_miscentered_surface_density\u001b[49m\u001b[43m(\u001b[49m\u001b[43mr_proj\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mr_proj\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mz_cl\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mz_cl\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mr_mis\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mr_mis\u001b[49m\u001b[43m)\u001b[49m\n", - "File \u001b[0;32m~/opt/anaconda3/envs/wrk/lib/python3.10/site-packages/clmm-1.12.2-py3.10.egg/clmm/theory/parent_class.py:261\u001b[0m, in \u001b[0;36mCLMModeling._eval_miscentered_surface_density\u001b[0;34m(self, r_proj, z_cl, r_mis)\u001b[0m\n\u001b[1;32m 230\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m integrand\n\u001b[1;32m 232\u001b[0m \u001b[38;5;66;03m# # Einasto\u001b[39;00m\n\u001b[1;32m 233\u001b[0m \u001b[38;5;66;03m# elif self.halo_profile_model=='einasto':\u001b[39;00m\n\u001b[1;32m 234\u001b[0m \u001b[38;5;66;03m# alpha_ein = self._get_einasto_alpha(z_cl)\u001b[39;00m\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 258\u001b[0m \u001b[38;5;66;03m# integrand *= r_s * rho_s\u001b[39;00m\n\u001b[1;32m 259\u001b[0m \u001b[38;5;66;03m# return integrand\u001b[39;00m\n\u001b[0;32m--> 261\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mquad_vec\u001b[49m\u001b[43m(\u001b[49m\u001b[43mintegrand\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m0.\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mnp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mpi\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43margs\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mr_proj\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mr_mis\u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mepsrel\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m1e-6\u001b[39;49m\u001b[43m)\u001b[49m[\u001b[38;5;241m0\u001b[39m]\u001b[38;5;241m/\u001b[39mnp\u001b[38;5;241m.\u001b[39mpi\n", - "File \u001b[0;32m~/opt/anaconda3/envs/wrk/lib/python3.10/site-packages/scipy/integrate/_quad_vec.py:320\u001b[0m, in \u001b[0;36mquad_vec\u001b[0;34m(f, a, b, epsabs, epsrel, norm, cache_size, limit, workers, points, quadrature, full_output, args)\u001b[0m\n\u001b[1;32m 317\u001b[0m neval \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m0\u001b[39m\n\u001b[1;32m 319\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m x1, x2 \u001b[38;5;129;01min\u001b[39;00m initial_intervals:\n\u001b[0;32m--> 320\u001b[0m ig, err, rnd \u001b[38;5;241m=\u001b[39m \u001b[43m_quadrature\u001b[49m\u001b[43m(\u001b[49m\u001b[43mx1\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mx2\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mf\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mnorm_func\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 321\u001b[0m neval \u001b[38;5;241m+\u001b[39m\u001b[38;5;241m=\u001b[39m _quadrature\u001b[38;5;241m.\u001b[39mnum_eval\n\u001b[1;32m 323\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m global_integral \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n", - "File \u001b[0;32m~/opt/anaconda3/envs/wrk/lib/python3.10/site-packages/scipy/integrate/_quad_vec.py:597\u001b[0m, in \u001b[0;36m_quadrature_gk21\u001b[0;34m(a, b, f, norm_func)\u001b[0m\n\u001b[1;32m 574\u001b[0m \u001b[38;5;66;03m# 21-point weights\u001b[39;00m\n\u001b[1;32m 575\u001b[0m v \u001b[38;5;241m=\u001b[39m (\u001b[38;5;241m0.011694638867371874278064396062192\u001b[39m,\n\u001b[1;32m 576\u001b[0m \u001b[38;5;241m0.032558162307964727478818972459390\u001b[39m,\n\u001b[1;32m 577\u001b[0m \u001b[38;5;241m0.054755896574351996031381300244580\u001b[39m,\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 594\u001b[0m \u001b[38;5;241m0.032558162307964727478818972459390\u001b[39m,\n\u001b[1;32m 595\u001b[0m \u001b[38;5;241m0.011694638867371874278064396062192\u001b[39m)\n\u001b[0;32m--> 597\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43m_quadrature_gk\u001b[49m\u001b[43m(\u001b[49m\u001b[43ma\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mb\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mf\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mnorm_func\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mx\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mw\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mv\u001b[49m\u001b[43m)\u001b[49m\n", - "File \u001b[0;32m~/opt/anaconda3/envs/wrk/lib/python3.10/site-packages/scipy/integrate/_quad_vec.py:498\u001b[0m, in \u001b[0;36m_quadrature_gk\u001b[0;34m(a, b, f, norm_func, x, w, v)\u001b[0m\n\u001b[1;32m 496\u001b[0m s_k_abs \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m0.0\u001b[39m\n\u001b[1;32m 497\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m i \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mrange\u001b[39m(\u001b[38;5;28mlen\u001b[39m(x)):\n\u001b[0;32m--> 498\u001b[0m ff \u001b[38;5;241m=\u001b[39m \u001b[43mf\u001b[49m\u001b[43m(\u001b[49m\u001b[43mc\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m+\u001b[39;49m\u001b[43m \u001b[49m\u001b[43mh\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mx\u001b[49m\u001b[43m[\u001b[49m\u001b[43mi\u001b[49m\u001b[43m]\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 499\u001b[0m fv[i] \u001b[38;5;241m=\u001b[39m ff\n\u001b[1;32m 501\u001b[0m vv \u001b[38;5;241m=\u001b[39m v[i]\n", - "File \u001b[0;32m~/opt/anaconda3/envs/wrk/lib/python3.10/site-packages/scipy/_lib/_util.py:372\u001b[0m, in \u001b[0;36m_FunctionWrapper.__call__\u001b[0;34m(self, x)\u001b[0m\n\u001b[1;32m 371\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21m__call__\u001b[39m(\u001b[38;5;28mself\u001b[39m, x):\n\u001b[0;32m--> 372\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mf\u001b[49m\u001b[43m(\u001b[49m\u001b[43mx\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m)\u001b[49m\n", - "File \u001b[0;32m~/opt/anaconda3/envs/wrk/lib/python3.10/site-packages/clmm-1.12.2-py3.10.egg/clmm/theory/parent_class.py:221\u001b[0m, in \u001b[0;36mCLMModeling._eval_miscentered_surface_density..integrand\u001b[0;34m(theta, R, Roff)\u001b[0m\n\u001b[1;32m 219\u001b[0m x2m1 \u001b[38;5;241m=\u001b[39m x\u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39m\u001b[38;5;241m2.\u001b[39m \u001b[38;5;241m-\u001b[39m \u001b[38;5;241m1.\u001b[39m\n\u001b[1;32m 220\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;28mtype\u001b[39m(x))\n\u001b[0;32m--> 221\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m x \u001b[38;5;241m<\u001b[39m \u001b[38;5;241m1\u001b[39m:\n\u001b[1;32m 222\u001b[0m sqrt_x2m1 \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39msqrt(\u001b[38;5;241m-\u001b[39mx2m1)\n\u001b[1;32m 223\u001b[0m integrand \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39marcsinh(sqrt_x2m1\u001b[38;5;241m/\u001b[39mx) \u001b[38;5;241m/\u001b[39m (\u001b[38;5;241m-\u001b[39mx2m1)\u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39m(\u001b[38;5;241m3.\u001b[39m\u001b[38;5;241m/\u001b[39m\u001b[38;5;241m2.\u001b[39m) \u001b[38;5;241m+\u001b[39m \u001b[38;5;241m1.\u001b[39m\u001b[38;5;241m/\u001b[39mx2m1\n", - "\u001b[0;31mValueError\u001b[0m: The truth value of an array with more than one element is ambiguous. Use a.any() or a.all()" + "/Users/jimmy/Repos/CLMM/clmm/theory/generic.py:66: UserWarning: Magnification is negative for certain radii, returning nan for magnification bias in this case.\n", + " warnings.warn(\n", + "/Users/jimmy/Repos/CLMM/clmm/theory/generic.py:70: RuntimeWarning: invalid value encountered in power\n", + " return np.array(magnification) ** (np.array([alpha]).T - 1)\n" ] } ], @@ -198,7 +183,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -210,54 +195,120 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", 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", 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", 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", 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "plot_profile(r3d, gt, \"$g_t$\", label=\"single plane\")\n", "plot_profile(r3d, gt_z, \"$g_t$\", label=\"redshift distribution\")" @@ -265,18 +316,50 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "plot_profile(\n", " r3d, mu_bias[0] - 1, profile_label=\"$\\delta_{\\mu}$\", label=\"$\\\\alpha$ =\" + str(alpha[0])\n", @@ -292,9 +375,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# The 2-halo term excess surface density is currently only implemented for the CCL and NC backends\n", "# An error will be raised if using the CT backend instead\n", @@ -305,9 +399,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# The 2-halo term excess surface density is currently only implemented for the CCL and NC backends\n", "# An error will be raised if using the CT backend instead\n", @@ -333,9 +438,27 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Einasto alpha = 0.17\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "moo_ein = clmm.Modeling(massdef=\"mean\", delta_mdef=200, halo_profile_model=\"einasto\")\n", "moo_ein.set_cosmo(cosmo)\n", @@ -362,9 +485,27 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Einasto alpha = 0.3713561546989172\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# use quad_vec\n", "moo_ein.set_projected_quad(True)\n", @@ -376,9 +517,27 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Einasto alpha = 0.3713561546989172\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# revert the effect from the previous cell\n", "moo_ein.set_projected_quad(False)\n", @@ -392,9 +551,9 @@ ], "metadata": { "kernelspec": { - "display_name": "wrk", + "display_name": "Python 3 (ipykernel)", "language": "python", - "name": "wrk" + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -406,7 +565,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.9" + "version": "3.11.9" } }, "nbformat": 4,