From 6ab636450b84e57aa0dca001ef5026b414023ad0 Mon Sep 17 00:00:00 2001 From: Jonathan Blazek Date: Wed, 22 Apr 2020 15:21:54 +0200 Subject: [PATCH 1/8] updated type syntax --- CellsCorrelations.ipynb | 35 +++++++++++++++++++++-------------- 1 file changed, 21 insertions(+), 14 deletions(-) diff --git a/CellsCorrelations.ipynb b/CellsCorrelations.ipynb index fe30aa9..426ff01 100644 --- a/CellsCorrelations.ipynb +++ b/CellsCorrelations.ipynb @@ -53,7 +53,7 @@ "outputs": [ { "data": { - "image/png": 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kh6R38DqUoNAnOYHLxvfmzYVb+GaDrXpqTEuw5BNmVJW5awvJ6tOZmCi7/M31h6P60q19G/76do6tempMC7DfPmEmt6iczTsrmNA/fFYsbQnxMVHcdvJgVhfs5rl5G70Ox5igZ8knzHy+1lkS3Pp79t/kwSkcOSCZB2evYVtJpdfhGBPULPmEmTlrdtCjYxt6drIh1vtLRLjzlKFU1yp3v2+rnhpzMCz5hJF9NbXMX7eD8f2S8Vn41eyH9E7xXDGxL+8t3coXa3d4HY4xQcuSTxhZtKmYPVU19sjtIF3+i9707BTPbe/ksLe6xutwjAlKlnzCyNw1hURGCGP7dvI6lKAWFx3JnacMYf2OPTzz+QavwzEmKHmefETkFhH5VkRKRaRQRN51l8v2rfOsiGi97at6dWJF5FER2SEie0Rkuoh0r1cn3T3/HrfeIyIS4492BoLP1xZySI/2Not1C5g4oAvHDUnl0U/WsnlnudfhGBN0PE8+wETgcWAscBRQDXwkIvXXdf4IZwntuu2EeuUPAWcA5wLjgUTgPRGJBHC/vg+0c8vPBc7EWU475JVU7GPZlhKO6GtDrFvKbScPRhDues8GHxizv6K8DkBVj/X9WUR+A5QARwDv+hTtVdVtDZ1DRJKAS4Dfqupsn/PkAscAHwKTgSFAT1Xd7Na5CXhGRP6iqqUt2rAAk71xJ7UKWX3skVtLSWvfhj8e3Y/7Zq7ik1UFHDXQZgg3prkC4c6nvnY4cdVfRGWciGwXkTUi8rSI+C5EMxqIBmbV7XATzEqcOyqALGBlXeJxfQjEusf/iIhMEZFsEckuLCw86EZ5bf66ImKiIhjZo73XoYSUS8b1om+XBG6fvpzKfTb4wJjmCsTk8zCwGJjvs28mcAFwNHA9cCjwiYjEuuWpQA1Qf+xrgVtWV6egXvkO97jUevtR1adUNVNVM5OTg3902FcbihiV3p646EivQwkpMVER3HXqEDbvrODxz9Z5HY4xQSOgko+ITAXGAWeo6vd/RqrqK6o6XVWXqeq7wPHAAOBEj0INKiUV+1ieX8rhve2RW2sY26czp4xI419z1rFxxx6vwzEmKARM8hGRB3EGARylqut/rq6q5gN5QD931zYgEqjfm57iltXVqf9QvrN7XIN9SaHi2w07UcWSTyu69cRBxERGcPv05ajaqqfGNCUgko+IPMwPiWdVM+p3BroBW91dC4B9wCSfOt2BQcA8d9d8YFC94deTgL3u8SHrq/VFxFp/T6vqkhjHtZP6M2dNIR8uD+m/ZYxpEZ4nHxF5DPgtcB6wS0RS3S3BLU8QkX+ISJaIZIjIRJxRcNuBtwBUtQT4N3C/iBwjIocA04ClOEO0wRmMsBx4XkQOEZFjgL8DT4f6SLf564sYld7B+nta2YVZPRmY2o673l1BeVW11+EYE9A8Tz7AFTgj3D7GuZOp225wy2uAYcA7wBrgOWA1kKWqu33Ocw1OMnoV+BIoA06u6ztyv54IlLvlrwJv+HxOSCop38eKrdbf4w9RkRHcfdpQ8ksqeeTj77wOx5iAFgjv+fzsDJeqWgEc+3N13Hp7gavcrbE6m4CT9jfGYPbNxrr+nvrv7JrWkJnRkV+N7s4zn6/nzNHd6NulndchGROQAuHOx7Si7/t70q2/x1/+dPxA2sZG8de3bfCBMY2x5BPivlpfxOieHYiNsv4ef+mUEMuNxw5g/voipi/J9zocYwKSJZ8QVlrp9Pcc2sseufnbuYemM7x7Ene/v5LSyn1eh2NMwLHkE8IW5u5CFQ7NsOTjb5ERwt2nDWVH2V4enL3G63CMCTiWfEJY9sZdREaI9fd4ZHj39px3aDrPzdvIivyQHs1vzH6z5BPCsnN3MiQtkfgYzwc1hq0bjx1A+/gY/vpODrW1NvjAmDqWfELUvppaFm8uZnTPDl6HEtbax8fwp+MHsiB3F68vzPM6HGMChiWfELU8v5TKfbWMsf4ez505qjuje3bg3hmrKC6v8jocYwKCJZ8Qlb1xJwCZdufjuYgI4W+nDqW4vIq/f7ja63CMCQiWfEJU9sZd9OjYhi6JcV6HYoDBaYlcODaDl77ZxJLNxV6HY4znLPmEIFUlO3cnY3raI7dAcu2k/nROiOWv7+RQY4MPTJiz5BOCcovK2VFWxegMe+QWSBLjorn1xEEszSvh5W82eR2OMZ6y5BOCvnX7e2ywQeA5ZUQaWb078fcPV1NUttfrcIzxzAElHxHpLyK/FJHLRWSK+32/po80/rAgdxeJcVH0TU7wOhRTj4jwt9OGUF5Vzb0zmlw30ZiQ1ey3D0VkEPA74EwgtW63+1XdOgXA/4AnVXVlC8Zp9sO3G3eSmdGRiIifXa3CeKRvl3ZcMq43/5qzjrPH9CDT7lBNGGryzkdE+ojI60AOcAnO6qB3AhcAJ+As0HYBcBewBLgUyBGR10Skd2sFbhpWXF7FusI99nJpgPvj0X1JS4rj1rdzqK6p9TocY/yuOY/dVgAZwEVAiqoer6p3qeqLqjpTVWe439+pqscDKcDFQB/32J8lIreIyLciUioihSLyrogMrVdHROQOEckXkQoR+UxEhtSr00FEpolIibtNE5H29eoME5E57jm2iMhtIhJStweL3GG8o9It+QSy+Jgobjt5MKu27ebZeRu9DscYv2tO8vmVqmaq6jRV3dNUZVXdo6rPqeoo4OxmnH8i8DgwFjgKqAY+EhHfZxE3AdfjrFI6BtgOzBYR32UiXwJGAce52yhgWl2hiCQCs4EC9xxXAzcC1zUjxqCxaFMxEQLDuyd5HYppwrFDUjlqYBcemLWGTUXlXodjjF81mXxUdbrvzyLyuohc0JyTq+o7zahzrKr+V1VzVHUZ8BsgGTjC/TwBrgHuVdU3VDUHuBBoB5zn1hmEk3CmqOp8VZ0PXA6cJCID3I/6NRAPXOh+1uvAfcB1oXT3s2jTLgakJtI21iYTDXQizrILkRHCLW8ttVVPTVg5kNFupwP/FZGrGyoUkQQROZjX6tu5ce1yf+6FM8BhVl0FVa0A5uLcLQFkAWXAPJ/zfAnsqVfnc/fYOh8CaTiPFeu3Y4qIZItIdmFh4UE0x39qa5XFm4s5xJZQCBpp7dtwywkD+fK7Iv6XvdnrcIzxmwN9z2cRMFVELm+g7FRg94GHxMPAYmC++3PdyLqCevUKfMpSgUL1+dPR/X57vToNncP3M76nqk+5jxszk5OTD6Qdfrd+Rxm7K6s5pIcln2By7ph0DuvVkbvfX0lBaaXX4RjjFweafKYCDwCPNfII7kDfH5oKjAPOUNWaA4wtbC3c5Aw2OMQGGwSViAjhvjOGU1Vdy61v59jjNxMWDniGA1W9CXgC+LeInHWwgYjIg8C5wFGqut6naJv7NaXeISk+ZduAZN++G/f7LvXqNHQO388Iaos2FZMYF0Xvzm29DsXsp4zObbl+cn9mryjg/WVbvQ7HmFZ3UNPrqOpVwLPANBE59UDPIyIP80Piqf/a9wac5DDJp34cMJ4f+njmAwk4/Tp1soC29eqMr9cfNQnIBzYeaOyBZNGmXYxM72Avlwapi4/oxYjuSdz+znJ27rF1f0xoa4m53aYArwGviMhx+3uwiDwG/BZn5NouEUl1twT4vu/mIeBmETndfQfoWZwBBi+5dVYCM4EnRSRLRLKAJ4H3VLVuAZWXgHLgWREZKiKnA38CpmoIPOco21vNmoLd1t8TxKIiI7jvzOGUVu7jb+81+YqcMUHtQJLPPt8f3F/cFwDvAW/gvKuzP67AGeH2MbDVZ7vBp879wIPAY0A20BWYrKq+AxvOw5lh4UN3W4IzbLsuzhKcO5009xyP4fRbTd3PeAPS0rxiahUb6RbkBqYmcsXEvry1aAufrKo/PsaY0HEgL4MkANG+O1S1VkTOBd7CuYtp9p2Eqjb5jMhNcHe4W2N1dgHnN3GeZcCE5sYWTBbVDTboYYMNgt2VR/ZlZs42bnlzGbOu6UhSfHTTBxkTZPb7zkdV96nqT17HVtVq4AycR3BlLRCb2Q+LNhXTJ7mt/aIKATFRETxw1giKyqq4bXqO1+EY0ypadD0fVa1S1bNV1eZ28SNVZfHmXTbEOoQM7ZbEH4/uxzuL83l/qY1+M6GnObNaH32gJxeRYw70WNN8ebsq2FFWxUgbbBBSrpjYhxHdk7j17WVs320vn5rQ0pw7n5ki8omInCQikU1VFpFod3G5OcAHBx+iacqSPKe/Z0R3Sz6hJCoyggfOGkl5VQ23vLHMXj41IaU5yecQnJmmpwP5IvKiiFztJqOxInKEiJwsIteJyP9w3sl5HWdY88jWC93UWZpXQkxUBANS2zVd2QSVvl0SuPm4gXy8arvN/WZCSpOj3dxZpCe7785cgTN327n8dESbAKXAm8ATqvptC8dqGrFkczGDuyYSE9WiXXgmQFw0NoPZKwq4690VjO3TmR4d470OyZiD1uzfVu5SBb8BOgCH46xq+ifgZpzF48YAHVX1Yks8/lNTq+RsKWGErd8TsiIihL//ajgiwg2vLaG21h6/meC33+/5uBN+fuNuxmPrC8vYU1XDcOvvCWndO8Rz20mDuemNpfznyw1cOt5WqDfBrVl3PiKyUUTeEJG/iMjxItKltQMzzbMkrwSAET3szifU/SqzO8cMSuH+matZubXU63CMOSjNfey2FzgN+BvONDpbRSRPRN4RkdvdwQdprRaladTSvGISYqPo3TnB61BMKxMR7jtjGEnx0fzx5UVUVNmqIyZ4NSv5qOoAoD0wEbgeZ5LOUuBE4HbgHWCziGwVkfdF5K7WCdfUtySvhKHdEm0m6zDRKSGWqWeNYO32Mu5+3yYfNcFrfwYc7FbVuar6kKr+RlUHA4k4c6VdC0wDdgDHAX9plWjNj1RV17Iyv9Te7wkz4/slM2VCb178ehMfLg+JpahMGDrY9XzKVfUL4DMg1z2f/QnuJ6u2lVJVU2uDDcLQDZMHMLRbIje/sZRtJTb7gQk+B5x8RGSMiNwrImuBRcCtQAlwI9CnheIzP6NusMFwG2YddmKiInjknEPYu6+Wa19dTI0NvzZBZr+Sj4iME5EHRSQX+Aqn/2cz8Eegh6qOVdUHVHVjy4dq6lu6uZiObWPo3qGN16EYD/ROTuDOU4Ywf30RT3z2ndfhGLNfmjvU+gkRyQfm4MxysBy4HOiqqkep6mOqmn+gQYjIBBGZLiJbRERF5KJ65c+6+323r+rViRWRR0Vkh4jscc/XvV6ddBF51y3fISKPiEjMgcbttaV5JQzvnoSIPekMV7/K7M6pI9OYOnsN89cVeR2OMc3W3Dufy4HOwPPAAFU9QVWfUdUdLRRHApADXA1UNFLnI5wVTOu2E+qVP4SzntC5wHicwRDv1U2G6n59H2fV1PFuvTNxVjMNOuVV1azdvtv6e8KciPD/fjmMjM5t+eMriyjcvdfrkIxplv157BaFs1z2OhFZLyKvi8ifReS4g33pVFU/UNU/q+rrQG0j1faq6jafbWddgYgk4Uz3c6OqzlbVhThLaA8H6pZ1mAwMAX6jqgtVdTZwE3CZiCQeTPxeyNlSSq3CSHu5NOy1jY3i8V+PYnflPq5+ZZH1/5ig0NzkkwQcCdwAvAxU4rx0ejfO3UTdS6fTReQOETmlFWIdJyLbRWSNiDxdL+GNxlnae1bdDlXdDKwExrq7soCV7v46HwKx7vFBZam7jILd+RiAgamJ3HXqUOatK+Lhj9d6HY4xTWrW3G6quhunv2dO3T4RaYuzZMJoYJT79XjgJJwZr5tc+2c/zMSZLXsDkIGT9D4RkdGquhdIBWpw3jPyVeCW4X4tqFe+wz0utd5+RGQKMAUgPT29RRrRkpbkldCtfRs6J8R6HYoJEGdl9uDr9Tt59JO1jMnowPh+yV6HZEyj9nti0Tqqugf40t0AEJE2OAnpkIMP7Uef9YrPj8tEZAHOe0Un4iSlFqeqTwFPAWRmZgbcc4ylecU2xNr8xN9OG8KyLcVc/cpi3rtqHGntbSSkCUwtugCMqla4Sy883pLnbeBz8oE8oJ+7axvOnVbnelVT3LK6Oin1yju7xwXVa+LF5VXkFpXbIzfzE/ExUTxx/miqqmv53QsLqNxn87+ZwBSUq4+JSD14hesAABpWSURBVGegG7DV3bUA2AdM8qnTHRgEzHN3zQcG1Rt+PQln0tQFrR1zS1paN5O13fmYBvRJTmDqWSNYmlfCrW/n2PLbJiAFRPIRkQQRGSkiI3FiSnd/TnfL/iEiWSKSISITgXeB7cBbAKpaAvwbuF9EjhGRQ3DmmluKM0QbnMEIy4HnReQQETkG+DvwtKoG1fz0dYMNhlryMY2YPCSVPx7dj9cX5PHCV7leh2PMTwRE8gEycaboWQS0Ae50v78LZ0DAMJyZs9cAzwGrgSx3IESda3CS0as4/VBlwMnu4nd1i+CdCJS75a8Cb+CM4AsqS/JK6J3clsS4aK9DMQHsmqP7cdTALtz57gq+3biz6QOM8SOxW/KmZWZmanZ2ttdhfO/Q//uII/p25sGzR3odiglwJRX7OPWfX1C2t4b3rhpHalKc1yGZMCIiC1Q1s6GyQLnzMc20raSS7bv32kg30yxJbaJ56oJMyquqmTIt2xagMwHDkk+QWWIvl5r91D+lHQ+fcwjLtpRww2tLqLUZEEwAsOQTZJbmFRMVIQxJC7oZgYyHJg1O4ZbjB/L+sq089NEar8Mx5sBfMjXeWJpXQv+UdsRFt+QEEiYcXDa+N99tL+ORT76jd3ICpx3SzeuQTBizO58goqoszSthRA975Gb2n4hw92nDOKxXR256fSkLcm0EnPGOJZ8gkltUTknFPnu51BywmKgI/nX+aLq2j2PK8wvYVFTudUgmTFnyCSI22MC0hA5tY/jPRWOoUeXC/35DUZmtAWT8z5JPEFmaV0JcdAT9UxK8DsUEuT7JCfz7wkzyiyu4+LlsyquqvQ7JhBlLPkFkaV4xQ9KSiIq0y2YO3uieHXnk3ENYllfMVS8torqmsXUcjWl59lssSFTX1JKzpdReLjUt6tghqdx16lA+XrXdJiE1fmVDrYPEd4VlVOyrYYT195gWdv7hPSkoreTRT76jS2Ic103q73VIJgxY8gkSSzc7yyjYnY9pDddN6k9BaSWPfLyWxLgoLh3f2+uQTIiz5BMkluQV0y4uioxObb0OxYQgEeGe04ezZ28Nd7+/kviYKM47LPCWjzehw5JPkFjiLpsdESFeh2JCVGSE8ODZI6nYV8Nf3l5G29hITh1psyCY1mEDDoJA5b4aVm3dzUib2cC0spioCB7/9SgO69WR6/63hFnLg2qFeRNELPkEgeX5pVTXqg02MH4RFx3JMxeOYVi3JP7w0iI+W73d65BMCAqI5CMiE0RkuohsEREVkYvqlYuI3CEi+SJSISKficiQenU6iMg0ESlxt2ki0r5enWEiMsc9xxYRuU1EAv451pLNzswGdudj/CUhNornfnso/VISmPL8Aj5dZQnItKyASD5AApADXA1UNFB+E3A9cBUwBtgOzBaRdj51XgJGAce52yhgWl2hiCQCs4EC9xxXAzcC17VwW1rckrxiuibF0SXRVqE0/pMUH82Llx7GgNR2XD5tAR+vLPA6JBNCAiL5qOoHqvpnVX0d+NFr1u6dyTXAvar6hqrmABcC7YDz3DqDcBLOFFWdr6rzgcuBk0RkgHuqXwPxwIWqmuN+1n3AdYF+97N4c7E9cjOeaB8fwwuXHMbAru343QsLrA/ItJiASD5N6AWkArPqdqhqBTAXGOvuygLKgHk+x30J7KlX53P32DofAmlARmsE3hJ27akit6ickemWfIw3kuKjmXbJYQxOS+KKFxcyM8cSkDl4wZB8Ut2v9e/5C3zKUoFC9ZkbxP1+e706DZ3D9zO+JyJTRCRbRLILCwsPIvyDUzeTtd35GC8ltYlm2iWHMqx7Ele+tJA3FuR5HZIJcsGQfDyhqk+paqaqZiYnJ3sWx5LNJYjAMJvZwHgsMc65AzqsV0euf20J//lig9chmSAWDMmn7h4/pd7+FJ+ybUCyb9+N+32XenUaOofvZwScJXnF9OuSQEKsvQ9svJcQG8V/LhrDsUNSuOu9FUydtdomIzUHJBiSzwac5DCpboeIxAHj+aGPZz7OiLksn+OygLb16ox3j60zCcgHNrZG4AdLVVligw1MgImLjuSx80ZxVmZ3HvnkO26fvpzaWktAZv8ExJ/TIpIA9HV/jADSRWQksFNVN4nIQ8CfRWQVsAa4FWeAwUsAqrpSRGYCT4rIFPc8TwLvqepq9+eXgNuBZ0XkbqA/8CfgTg3QP93ydlVQtKeKEfZ+jwkwUZER3HfGcNrHx/DU3PUUlVXxwFkjiIuO9Do0EyQCIvkAmcCnPj/f6W7PARcB9wNtgMeADsDXwGRV3e1zzHnAozgj2ACmA3+oK1TVEhGZ5J4jG9gFPABMbfnmtIzF9nKpCWAiwp9PGERyQiz/b8ZKtpZU8PQFmXRKiPU6NBMEAiL5qOpnQKPv2rh3Jne4W2N1dgHnN/E5y4AJBxKjF5ZsLiY2KoIBqe2armyMRy6b0JvuHdpwzauLOf2Jefz3ojH0Tral3s3PC4Y+n7C1JK+Yod2SiLZls02AO35YV16ecjhlldWc/sQ8vtmw0+uQTICz32oBqrqmlmVbSmywgQkao9I78NYVR9CxbQznP/M1r367yeuQTACz5BOgVhfspnJfLSN62Ps9Jnikd4rnzd+P5bDeHbn5jWX89e0cqqprmz7QhB1LPgFqibtstg02MMGmfXwM/71oDJdP6M20r3I5/5mv2VG21+uwTICx5BOglmwupkN8NOkd470OxZj9FhUZwS0nDOLhc0aydEsxJz/6xfdLgxgDlnwC1pK8Ykb0aE+AT7htzM86dWQ3Xv/dWCJEOPNf83j2yw02I4IBLPkEpD17q1lTsNsGG5iQMLRbEu9dNY4J/ZK5490V/P6FhZRU7PM6LOMxSz4BaNmWEmrV+ntM6OjQNoZnLszkLycM4qOVBZz06OcszbPHcOHMkk8AWpC7C8Cm1TEhRUS4bEJvXr08i5oa5Ywn5vHknHXU2LxwYcmSTwBakLuLPslt6dg2xutQjGlxo3t24IOrx3P0wBTumbGKc5/+is07y70Oy/iZJZ8AU1urLMjdRWbPjl6HYkyraR8fwxPnj+KBX41gRX4pxz/8Oa9lb7bBCGHEkk+AWVdYRknFPjIzOngdijGtSkQ4Y3R3Zlw9nsFpidz4+lKmTFtAQWml16EZP7DkE2C+3ej092Rm2J2PCQ89Osbz8mWH8+cTBjJ3TSHHTJ3Dy99ssrugEGfJJ8Bk5+6kU9sYMjrZy6UmfERGCFMm9GHmNRMY3DWRW95cxrlPf8XGHXu8Ds20Eks+AWZB7i5G9+xgL5easNSrc1tevuxw7jl9GMu3lHLsQ3P55ydr2Vtd43VopoVZ8gkg23dXkltUzhh75GbCWESEcO6h6Xx0/S84amAX/jFrDcc+OJdPV233OjTTgoIi+YjIHSKi9bZtPuXi1skXkQoR+UxEhtQ7RwcRmSYiJe42TUQC6kWaBW5/z2gbbGAMKYlxPHH+aJ6/+FAiIoTfPvstlz6XzaYiG5YdCoIi+bhWA119tmE+ZTcB1wNXAWOA7cBsEfFdAvQlYBRwnLuNAqa1ftjNl527i9ioCIam2TIKxtSZ0D+ZmVdP4E/HD2Teuh0c8+Ac7vlgpU3RE+SCKflUq+o2n60QnLse4BrgXlV9Q1VzgAuBdsB5bp1BOAlniqrOV9X5wOXASSIywJPWNCA7dxcjerQnJiqYLosxrS8mKoLf/aIPn1w/kZOHp/HU5+v5xd8/5d9fbLD1goJUMP2W6+0+VtsgIq+ISG93fy8gFZhVV1FVK4C5wFh3VxZQBszzOd+XwB6fOp6qqKph+ZYSMnvaIzdjGpOaFMcDZ43gvavGMaxbEn97bwXHTJ3DO4u32DQ9QSZYks/XwEU4dy+X4SSbeSLSyf0eoKDeMQU+ZalAofq8OOB+v92nzo+IyBQRyRaR7MLCwpZqR6MWby6mulbt5VJjmmFIWhLTLjmM5y4+lPiYSK5+ZTHHPTSX95dupdaSUFCI8jqA5lDVGb4/i8hXwHqcx2tftdJnPgU8BZCZmdnq/5q/2bATERidbiPdjGmuX/RPZnzfznyQs5WHPlrLlS8tZGBqO645ph+TB6cSEWGvLASqYLnz+RFVLQOWA/2AulFvKfWqpfiUbQOSxeflGff7Lj51PDVv3Q6GpCWSFB/tdSjGBJWICOGk4Wl8eM0EHj5nJFXVtfzuhYVMenAO//t2s70jFKCCMvmISBwwENgKbMBJIJPqlY/nhz6e+UACTt9PnSygLT/uB/JE5b4aFm0qJqt3J69DMSZoRUYIp47sxqxrnSQUExXJTW8sZcL9n/LknHWUVtrouEASFI/dROQfwLvAJpy7lb/iJI7nVFVF5CHgzyKyClgD3IozwOAlAFVdKSIzgSdFZIp72ieB91R1tX9b81MLcndRVVPL2D6dvQ7FmKAXFRnBqSO7ccqIND5fu4On5q7nnhmr+Ocn33He4elckJVBt/ZtvA4z7AVF8gG6Ay8DnYFCnH6ew1U11y2/H2gDPAZ0wBmgMFlVd/uc4zzgUeBD9+fpwB9aP/SmzV9XRGSEMKaX9fcY01JEhAn9k5nQP5mcLSU8OXc9T7vbUQNTOP/wdCb0S7Z+IY+IzRzbtMzMTM3Ozm6185/xxDxqapW3rzyi1T7DGANbiit4+etNvPLtJnaUVdGzUzznHZrOrzJ72OKNrUBEFqhqZkNlQdnnE0pKK/exeHMxR/S1/h5jWlu39m244dgBzPvT0Txy7iGktIvjnhmrOPyej/nDSwv5dPV2qmvspVV/CJbHbiHry7U7qKlVftG/i9ehGBM2YqIiOGVEGqeMSGP1tt28+HUu05fk897SrXROiOW0kWmcPqo7g9MSvQ41ZFny8dicNYW0i43ikPSAmuPUmLAxILUdd506lFtPHMwnq7bz5sI8npu/kWe+2MCgromcMiKN44emktG5rdehhhRLPh5SVeasKWRcv85ER9oTUGO8FBMVwXFDUzluaCo791Tx3tJ83li4hftmruK+masY3DWRE4alcvywrvRJTvA63KBnycdDa7eXsbWkkquPTvY6FGOMj45tY7ggK4MLsjLI21XOzJxtzMjZxj9mreEfs9bQPyWByYNTOXJgF0b2aE+kjZjbb5Z8PPSJuzjWhP6WfIwJVN07xHPp+N5cOr4320oqmZmzlQ9ytvH4Z9/xz0+/o0N8NL/on8yRA7vwi/7JtI+3UXPNYcnHQzNztjGsWxJp9sKbMUEhNSmOi47oxUVH9KKkfB9z1hby6artzFlTyNuL84kQGNmjPWP7dGZs306MSu9AXHSk12EHJEs+HtlaUsHizcXceGzALCdkjNkPSfHR34+Yq6lVluQV8+mq7Xzx3Q6emLOOf376HTFREWT27MDYPp04vHcnhnZLsmTksuTjkVnLnRUgjh3S4IoOxpggEhkhjErvwKj0Dlw/eQC7K/fx7cadzPuuiHnrivjHrDUAxERGMKRbIqPTOzCqZwdG9+xASmKcx9F7w5KPR2bkbKVflwT6drFRM8aEmnZx0Rw1MIWjBjqT7e/cU0X2xp0s2LSLhbm7mPZVLs98sQFwXnwd1bMDI7onMSQticFpiSS1Cf3Z7S35eGBrSQXfbNjJH47s63Uoxhg/6Ng2hslDUpnsPumoqq5lxdZSFuQ6ySh7407eXZL/ff30jvEM7ZbIkLQkhqQ5X5PbxXoVfquw5OOB17PzqFU4c3QPr0MxxnggJiqCkT3aM7JHey4Z1wuAwt17WZ5fwvL8Upbnl5CzpZQPlv2w3FjHtjH07ZJAvy4J9E9p5zw5SUkgOSEWn6XKgoYlHz+rrVVeW5BHVu9OpHeK9zocY0yASG4Xy8QBXZg44Ieptkoq9rEiv5QVW0v5bvtu1hSUMX1JPrsrq7+v0z4+mj7JCfTsGE/PTm3J6BxPesd4Mjq1pX18dMAmJks+fvbVhiI27Sznukn9vQ7FGBPgktpEk9WnE1l9fph4WFUp3L2XNQVlrHUT0oYdZcxfX8Sbi7b86PjEuCh6dmpLz05OQkpr34a09nF0TWpDWvs2JMZFeZacLPn42dNz19M+PprjhtooN2PM/hMRuiTG0SUxjnH9frwAZeW+GjbvLGdjUTm5RXvILSond2c5y7aUMDNnG9W1P15Cp21MJF3bO4koLclJSimJsXRJjKVLuzi6JMbSqW1sq8zgYMnHjxZt2sWnqwu58dgBNtbfGNPi4qIj6ZfSjn4p7X5SVlPr3DHll1SQX1zB1uLKH74vqWRFfgk7yqp+ctywbkm8e9W4Fo81LJOPiFwB3Ah0BZYD16jq5639uQ9+tJaObWO4cGxGa3+UMcb8SGSEkJoUR2pSHKPSOzRYZ291DYW797J99162l+6lcHcl8TGtkybCLvmIyNnAw8AVwBfu1xkiMlhVN7XW5778zSbmrinkLycMIiE27P6zG2OCQGxUJN07xNO9Q+sPhgrHefyvA55V1adVdaWqXgVsBX7fGh+mqny4fBu3v7OcCf2TudgdVmmMMeEsrP4EF5EYYDTwj3pFs4CxLf15m3eWc/Gz37J2exm9k9vyyDkjbep1Y4whzJIP0BmIBArq7S8AjvHdISJTgCkA6enpB/RhqUlx9OgYz+8n9uGk4WnERIXjjaYxxvxUuCWfZlPVp4CnADIzM7WJ6g2KjozgPxeNadG4jDEmFITbn+I7gBogpd7+FGDbT6sbY4xpDWGVfFS1ClgATKpXNAmY5/+IjDEmPIXjY7epwDQR+Qb4EvgdkAb8y9OojDEmjIRd8lHVV0WkE3ArzkumOcAJqprrbWTGGBM+wi75AKjq48DjXsdhjDHhKqz6fIwxxgQGSz7GGGP8zpKPMcYYvxPVA3p/MqyISCFwMAMSOuO8YxTsQqUdYG0JVKHSllBpBxxcW3qqanJDBZZ8/EBEslU10+s4DlaotAOsLYEqVNoSKu2A1muLPXYzxhjjd5Z8jDHG+J0lH/94yusAWkiotAOsLYEqVNoSKu2AVmqL9fkYY4zxO7vzMcYY43eWfIwxxvidJR9jjDF+Z8mnBYjIFSKyQUQqRWSBiIxvov4v3HqVIrJeRH7nr1h/zv60Q0Qmiog2sA30Z8yNxDZBRKaLyBY3pouaccwwEZkjIhXucbeJiPgh3J+Lab/aISIZjVyT4/wU8s/FdouIfCsipSJSKCLvisjQZhwXUNflQNoRqNdFRK4UkaVuW0pFZL6InNjEMS12PSz5HCQRORt4GPh/wCE4i9LNEJH0Rur3Aj5w6x0C3AM8KiJn+Cfihu1vO3wMwVmaom5b25pxNlMCzlIZVwMVTVUWkURgNlAAjHGPuxG4rhVjbI79aoeP4/jxNfmk5UPbbxNxZpIfCxwFVAMfiUjHxg4I0Osykf1sh49Auy55wM3AKCATJ563RWR4Q5Vb/Hqoqm0HsQFfA0/X27cWuKeR+vcBa+vtewaYH2TtmAgo0Nnra9BEu8qAi5qo83ugFGjjs+9WYAvuiFCvt2a2I8O9Jplex9uM9iTgLGl/cpBfl+a0I5iuy07gcn9cD7vzOQgiEgOMBmbVK5qF85dRQ7IaqP8hkCki0S0bYfMcYDvqZIvIVhH5WESObJUAW18W8Lmq+t5dfIizwm2GJxEdnDdFZLuIfCkiZ3odTCPa4Tx52fUzdYLhujSnHXUC9rqISKSInIOTTOc1Uq1Fr4cln4PTGYjEuQ31VQCkNnJMaiP1o9zzeeFA2rEV5y+hM4DTgdXAx031dwWoxq5JXVmwKANuAM4CTgA+Bl4VkfM9japhDwOLgfk/UycYrktz2hGw18XtwykD9gL/An6pqssaqd6i1yMsVzI1B09VV+MknDrzRSQD5xnw517EFO5UdQfwgM+ubBHpDNwEvOBNVD8lIlOBccA4Va3xOp4D1dx2BPh1WQ2MBJKAM4HnRGSiqua09gfbnc/B2YHzvDel3v4UYFsjx2xrpH413k3BfiDtaMjXQL+WCsqPGrsmdWXBLKCuiYg8CJwLHKWq65uoHrDXZT/b0ZCAuC6qWqWq36nqAlW9Becu7tpGqrfo9bDkcxBUtQpYAEyqVzSJxp+bzm+kfraq7mvZCJvnANvRkJE4j+OCzXxgvIjE+eybBOQDGz2JqOUEzDURkYf54Rf2qmYcEpDX5QDa0ZCAuS71RACxjZS17PXwenRFsG/A2UAVcCkwCOcZcBnOIkoAzwPP+9TvBewBHnLrX+oef0aQteMa4DScv96G4AwZV+D0ALgmCTj/c48EyoHb3O/T3fJ7gI996ifh/OX2CjAUpw+rFLg+yNpxIXCee/0G4PQzVAHXBsA1ecz9b3oUTv9A3ZbgUyfgr8sBtiMgrwtwLzAeZ7DAMDfuWuB4f1wPT/9BhsoGXIGT+ffi3EFM8Cn7DPisXv1fAAvd+huA33ndhv1tB87z6rU475/sxOnnOcHrNrixTcRJhPW3Z93yZ4GN9Y4ZBswFKnH+Ir0dj4fz7m873F9yK3D+uCkFsoHzvb4ebmwNtUOBO3zqBPx1OZB2BOp1cePMdf9/3w58BBzrr+ths1obY4zxO+vzMcYY43eWfIwxxvidJR9jjDF+Z8nHGGOM31nyMcYY43eWfIwxxvidJR9jjDF+Z8nHGGOM31nyMcYY43eWfIwxxvidJR9jgoyIxIhIlYhoI9ubXsdoTFNsMTljgk80cHED+68FRgHv+jccY/afTSxqTAgQkftxVpG9XlWneh2PMU2xOx9jgpiICPAIcCVwpao+7nFIxjSLJR9jgpSIRABP4jyCu0RV/+txSMY0myUfY4KQiEQCz+GsQHu+qr7scUjG7BdLPsYEGRGJBl4CTgHOVlUb3WaCjiUfY4KIiMQCrwPHAKer6vseh2TMAbHRbsYEERF5FTgLeBb4uIEq01W11K9BGXMALPkYEyTckW0lQLtGqtQC7VS13H9RGXNgLPkYY4zxO5texxhjjN9Z8jHGGON3lnyMMcb4nSUfY4wxfmfJxxhjjN9Z8jHGGON3lnyMMcb4nSUfY4wxfmfJxxhjjN/9f/texhA/v3+bAAAAAElFTkSuQmCC\n", + "image/png": 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\n", 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\n", + "image/png": 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\n", 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" ] @@ -174,7 +174,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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dmWvXZvFzz9GyZUteeOEF+vTpQ0JCgtMJxY+kczqAiHhAqVLua3lq1yZ9WBjRUVEEBwczatQojhw5wpQpU0ifPr3TKcUPaKQj4i8KFYJ166BCBVwtWxJZqhTDhg3jo48+omnTply4cMHphOIHVDoi/iRnTlixAmrXxnTqxAsZMzJ69GgWLFhAeHg4586dczqhpHEqHRF/kykTzJ8PTZvCc8/R/ddfeX/yZFauXEnt2rX57bffnE4oaZhKR8QfZcgA06dDu3bw8su027GDj6ZN4/PPP6dmzZocP37c6YSSRql0RPxVQABMmuReqXrkSJp/8glzZs5k27ZtVKtWTXcilVSh0hHxZy4XjBoFgwbBpEmEz5xJ7IIF7Nq1iypVqnDgwAGnE0oao9IR8XfGwJAh8PrrMGMG1cePZ/nixRw8eJBq1aqpeCRF6TodEXHr3x8yZ4YePXgkIYHlixcTWr8+1apV49NPP6VAgQJOJ5Q0QKUjIn/q3t098unenYrWsnzRIkLDwqhWrRqrV68mf/78TicUH6fSEZG/69bN/VlP165UTEjg44ULCQ0Lo2rVqioeuW0qHRH5py5d3MXTuTOVrGX5woWEhof/8VabikeSS6UjIjfWqZP7rbZOnahkLR8vWECtJ5/84622fPnyOZ1QfJBKR0QS17Gje8TToQOVExL+Vjxr1qwhJCTE6YTiY1Q6IvLvIiLcxdO+PZXTpWPZwoWE1q9PzZo1Wb16NTlz5nQ6ofgQlY6I3Nyzz8LFi9ClC49kysTCuXOpGx5O7dq1WblyJUFBQU4nFB+hi0NFJGk6d4aRI2H2bKpPm8bsmTPZunUrYWFhWp1aksyvSscY09sYs8MY860x5h1jjHE6k4hP6d0bXn0Vpk4lbOlSpkZFsW7dOho3bqz78UiS+E3pGGPyAN2BckDpq18rOhpKxBcNGgQvvADjx9Ni0yYmTpjAsmXLaNWqFZcvX3Y6nXg5vymdq9IBgUD6q5uW0RW5VcbA0KHu1alHjaL9nj2MGjWKuXPn8uyzz5KQkOB0QvFiXlE6xpgqxpiFxpgDxhhrjGl7g326GmPijTHnjTFxxpjHbuUY1tqjwJvAPuAgsNJa+1OK/AAi/sYY9+rUHTrA0KH899w5hgwZwtSpU+nZsyfWWqcTipfyitIBsgDfAP8Ffr/+SWNMc+BtYBhQFtgALDXGFP7LPtuMMd/cYMt/9fkcQH2gKFAAqGyMqZLKP5dI2mUMvPcetGoFAwcyME8e+vbty9ixYxk6dKjT6cRLecWUaWttLBALYIyZcoNd+gBTrLUTr/6+hzGmNtAFeOHqa5S5yWFqALustcevHmcJ7s901l6/ozGmI9ARoHDhwtc/LSLXBATAlClw4gSmSxdej4nhyNNP8+KLLxIcHEzHjh2dTihexltGOokyxmTA/aH/8uueWg5UvoWX+hn36CbQGBMAVAV+uNGO1toJ1try1tryefLkSUZqET+SPj3MmgUPP4yrdWsmt2lDnTp16NKlC/PmzXM6nXgZry8dIDcQABy+7vHDQN6kvoi19gvco6mtwNfAT8DCFMoo4t/uuAMWL4bixUnXuDFzBg3ioYceomXLlqxZs8bpdOJFfKF0Uoy1dpC19h5r7b3W2p5Wn3aKpJycOeHjjyFHDjI1bEjs229TrFgxwsPD+eqrr5xOJ17CF0rnV+AKcP3KgiHAL6l1UGNMmDFmwqlTp1LrECJpT8GCsHw5WEuO5s1ZGRVFUFAQtWvXJj4+3ul04gW8vnSstReBOKDmdU/VxD2LLbWOu8ha2zFbtmypdQiRtKlkSYiNhaNHKdC+PctjYrhw4QKhoaEcPXrU6XTiMK8oHWNMFmNMGWNMGdyZCl/9/bWpYyOBtsaYCGPMPcaYt4H8wDinMovIv6hQAebNg++/556BA1kydy779+8nPDyc33//x1UR4ke8onSA8rg/4N8KZAJevvrrVwCstTFAL2AwsA14FKhrrd3rSFoRubmaNd3TqdesodKECURHRbFx40batGnDlStXnE4nDvGK0rHWrrbWmhtsbf+yz7vW2qLW2ozW2nLW2n9cXyMiXqZVKxg2DKZPp/GXX/LWW28xd+5c+vXr53QycYhXlI430kQCkRQyYID71tevvUavwEB69OhBZGQk77zzjtPJxAEqnURoIoFICjEGxoyBevUw3bsTWb06Tz75JL169WL+/PlOpxMPU+mISOpLlw5mzICyZQlo1YoZzz1HhQoVaNWqFRs3bnQ6nXiQSkdEPCNLFveqBcHBBDZpwpIxY8iXLx9hYWH89JMWfPcXKh0R8Zy8eWHpUrh0idxPPcWyadO4cuUKdevW5dixY06nEw9Q6SRCEwlEUsndd8OCBRAfz139+rFw1iz27t1LgwYNdMtrP6DSSYQmEoikosceg6goWL+eR95/nw+nTGH9+vVEREToBnBpnEpHRJzRvDkMGQLTptF8506GDBlCdHQ0Q4YMcTqZpCKVjog4Z+BAeOYZ+N//GFi0KE8//TQvvfQS06dPdzqZpBKvuHOoiPgpY2DCBNizB/Pss0xctoz4+HjatWtHkSJFqFz5Vu7TKL5AIx0RcVaGDDBnDhQpQoZmzVgwciSFChWiQYMGuh1CGqTSSYRmr4l4UK5csGQJJCSQ46mniJ02jUuXLlG/fn30ZzBtUekkQrPXRDzsrrtg7lz46SfueuEF5s2cyc6dO2natCmXLl1yOp2kEJWOiHiPxx+HiRNh1SqqxsQwYfx4VqxYQY8ePTSVOo1Q6YiId3nmGRg0CCZPpt2xYzz//POMHz+eUaNGOZ1MUoBKR0S8zyuvuK/jef55hpUvT6NGjXjuuedYtGiR08nkNql0RMT7uFzwwQfw8MO4nn6aab17U65cOVq2bMnWrVudTie3IdmlY4xpZYwpZYxRcYlIysuUCebPh5AQAps2ZfF775EzZ07CwsI4cOCA0+kkmW6nMHoAm4DTxphNxpgJxpiuxpjKxpg7UiifYzRlWsQLhIS4b4dw7hwh7duzZMYMTp06RXh4OGfPnnU6nSRDskvHWlsJyAo8CLwFHAPCgDnAKWPMTmPMzBRJ6QBNmRbxEvfeC7NmwY4dlB46lJhp09i2bRtt2rQhISHB6XRyi25aOsatszGm4vXPWbcfrLUx1toXrLV1rLX5gAK4R0JxqZBZRPxNaCiMHQuxsdRduZLIyEjmz5/PgAEDnE4mtygpI51WwFjgkaS+qLX2sLX2Y2vt68lOJiLyV506wXPPwejR9AC6devGG2+8wcSJE51OJrcgKQt+tgZ+AEb+207GmE5AXuAda+2JFMgmIvJ3r78Ou3Zhevfm7Xnz+Omnn+jSpQvFihWjRo0aTqeTJEjKSKc8MMve/HLgFcCLQJPbTiUiciMBATBtGpQtS0CrVswaPJhSpUrRpEkTvv32W6fTSRIkpXSyAXtutpO1djewEqh/m5lERBJ3xx2wcCHkyEGWFi1YOnkygYGB1K9fnyNHjjidTm4iKaVzHMiVxNdbC9yT/DgiIkmQP797KvXJkxTo3JklM2fyyy+/0KBBA86fP+90OvkXSSmdH4DHk/h6h4B8yY8jIpJEDzwAM2bAtm2UGzmSqVOm8Pnnn9O2bVtNpfZiSSmd+UAdY8zDSdg3z23m8Rq6OFTEB9SrB6NGwYIFNN60iddff52YmBj+7//+z+lkkoiklM544CAw1xhT9ib7VgN23XYqL6CLQ0V8RI8e7u2tt+gXFET79u159dVXiYqKcjqZ3MBNS8da+zvuGWlZgQ3GmDeMMXdev58xpicQintkJCLiOSNHQt26mO7dGdeoEU888QQRERGsXbvW6WRyHZPUGyNdHeV8BJQEEoDtuD/vSQ+UBu4EdgMPWmtPp0paB5QvX95u2bLF6RgicjOnT8Njj0F8PKdiY6kYEcGRI0f44osvuOuuu5xO53eMMXHW2vLXP57ktdestVuBB4CuuAvnfqAZ0BD4D7AYeDwtFY6I+JCsWWHRIrjjDrK1bs2yDz/E5XJRr149jh075nQ6ueqWFvy01l601o6z1pYFgnFfOPowEGytfdJaezA1QoqIJEmhQu7iOXqUIj16sGjmTPbt20ejRo24ePGi0+mE21tl+pi19ktr7WZr7fGUDCUikmzlyrlXLdi8mYrvvssHkyezdu1aOnToQFI/TpDUoxuwiUja06ABvPEGzJ5Nyx07ePnll4mKimLYsGFOJ/N7Kh0RSZv69HGvTD18OC8WLEibNm0YPHgwMTExTifza0lZZVpExPcYA6NHw+7dmE6dmLx4MXv27OGZZ56hcOHCVKpUyemEfkkjHRFJu9Knd991tGRJMrRowcIRIyhYsCBPPvkk8fHxTqfzSyqdRGgZHJE0Ils29+KgGTKQo00blkVHc/nyZerVq8fJkyedTud3VDqJ0DI4ImlI0aLu2yEcPEjxvn2ZP2MGu3btomnTply6dMnpdH5FpSMi/uHhhyEqCj77jCoffsiE8eNZuXIl3bp101RqD1LpiIj/aNoUhg2Djz6i7d69DBw4kIkTJ/LWW285ncxvqHRExL8MGADt2sHLL/NqyZI0bdqU/v37M2/ePKeT+QVNmRYR/2IMjBsHe/bg6tCBqUuWsG/fPlq3bs26desoV66c0wnTNI10RMT/ZMgAc+ZAsWJkbNGCxZGRBAcHExYWxs8//+x0ujRNpSMi/ilHDliyBIDcTz/Nsuhozp49S/369Tl9WovlpxaVjoj4rzvvdK9KvX8/d/fvz5zoaHbs2EGLFi24fPmy0+nSJJWOiPi3SpUgOhq++IIaH37I2NGjiY2NpUePHppKnQpUOiIijRu7b3k9Zw6ddu1iwIABjBs3jhEjRjidLM1R6YiIAPTqBT17wsiRDM2bl5YtWzJgwACmT5/udLI0RVOmRUSuGTkS9u3D1bs3H8bEcPDgQdq2bUv+/Pl5/PHHnU6XJmikIyJyTUCA+66jDz1E+qefZuHAgdx55500aNCAb7/91ul0aYJKR0TkrzJnds9oK1CAoNatWTFuHIGBgdSpU4dDhw45nc7nqXQSoVsbiPixPHkgNhYSEigQEcGy6GiOHTtGvXr1OHPmjNPpfJpKJxG6tYGInytRwn07hH37eOCll5gTHc3XX39Ns2bNdA3PbVDpiIgk5pFH3NfwfP45taZN472xY1m6dCldunTRNTzJpNIREfk3TZrAm2/C7Nl0+PFHBg0axKRJkxg2bJjTyXySSkdE5GZ694YePeCtt3g1Tx7atGnD4MGDiY6OdjqZz9F1OiIiN2MMREbC/v2Y3r35IDqaAwcO8Oyzz5I/f36eeOIJpxP6DI10RESS4to1PI8+Srp27VjYqxclSpSgYcOGfPXVV06n8xkqHRGRpMqUCRYsgLvuIkubNqx8802CgoKoXbs28fHxTqfzCSodEZFbkSMHLFsG2bOTt107Vk2ezIULF6hVqxZHjx51Op3XU+mIiNyqggXdxXPhAnd1787SqCh+/vlnXTyaBCodEZHkKFUKFi+Gn3/m4VdeYfaUKcTFxdGsWTMuXbrkdDqvpdIREUmuypUhJgbi4qg3ZQoTrl48GhERoYtHE6HSERG5HeHhMH48LFtG+88/55WXXyYqKooBAwY4ncwrqXRERG5XRAS88gpERTH47Fk6d+7MiBEjGDVqlNPJvI5KR0QkJQweDJ07Y0aMYGyJEjRq1IjevXszY8YMp5N5Fa1IICKSEoyBMWPgyBFcffow/cMPqfnrrzz99NPkzp2bGjVqOJ3QK2ikIyKSUq6tWvDYY2SIiGBJr16ULFmShg0b8uWXXzqdziuodEREUlJgoPs+PPfcQ5annuKTYcPImTMnderU4aeffnI6neNUOiIiKS17dvfFoyEhBLdty6djx3L58mVq1arF4cOHnU7nKJWOiEhqyJcPVqyADBn4T+fOrJg0iUOHDlG7dm1OnTrldDrHqHRERFLLf/4DH38MZ8/y4PPPs2jyZL755hvCw8P5/fffnU7nCL8qHWNMX2PMDmPMN8aYNk7nERE/cP/97uVy9u/niREjmD5uHOvWraN58+ZcvnzZ6XQe5zelY4wpDbQCygEVgO7GmOzOphIRv/DIIzBnDmzfTpOoKN4bOZJFi69TzuoAAAzJSURBVBYRERFBQkKC0+k8ym9KB7gH+Nxae95a+zvwFVDb4Uwi4i/q1IGoKFi3jk6ffsorL73Ehx9+SN++ff1qnTavKB1jTBVjzEJjzAFjjDXGtL3BPl2NMfHGmPPGmDhjzGO3eJhvgKrGmOzGmBxAVaDA7acXEUmili1h9GhYuJDBe/fSs3t3IiMjee2115xO5jHesiJBFtylEHV1+xtjTHPgbaArsP7q16XGmFLW2n1X99nGjX+eUGvtQWvtt8aYd4BVwCngC+BKavwwIiKJ6tYNjh3D/O9/jOrVi19btmTgwIHkypWLjh07Op0u1RlvG9YZY84A3a21U/7y2Ebga2tth7889iMw21r7QjKPMwmYZ61d8m/7lS9f3m7ZsiU5hxARuTFr4b//hdGjufLqq4Rt2MCyZcuYOXMmTZo0cTpdijDGxFlry1//uFe8vfZvjDEZcH/4v/y6p5YDlW/xtYKvfi0JPAR8nMh+HY0xW4wxW3T7WRFJccbAqFHQujUBL77I/Dp1qFy5Mq1bt2blypVOp0tVXl86QG4gALj+Mt7DQN5bfK0FxphvgWignbX2hvMVrbUTrLXlrbXl8+TJc8uBRURuyuWCDz6AevXI8N//sqx9e0qWLEmDBg3YtGmT0+lSjS+UToqx1lay1pay1law1sY5nUdE/Fz69DBzJlSuTJZOnfh04ECCg4OpW7cu3333ndPpUoUvlM6vuD/wD7nu8RDgF8/HERFJQZkzuy8evececkVEsHbECNKlS0doaCj79u1zOl2K8/rSsdZeBOKAmtc9VRPYkFrHNcaEGWMm+PMaSSLiIdmzu5fLCQmhYMeOrB47ltOnTxMaGkpa+1zZK0rHGJPFGFPGGFMGd6bCV39f+OouI4G2xpgIY8w9xpi3gfzAuNTKZK1dZK3tmC1bttQ6hIjIn/LmdS8QGhjI3T17snzCBPbu3UudOnU4ffq00+lSjFeUDlAe2Hp1ywS8fPXXrwBYa2OAXsBgYBvwKFDXWrvXkbQiIqnh2gKh587x0KBBLJgwgW3bttGgQQPOnz/vdLoU4RWlY61dba01N9ja/mWfd621Ra21Ga215ay1ax2MLCKSOkqXhthYOHiQ0JEjiR47llWrVtGqVas0sUCoV5SOiIj8RaVKMHcu7NhBi2nTGDNiBPPmzaNz584+v06bSicRmkggIo6qVQumToX16+m2Zg0vDhjA5MmTGTRokNPJbotKJxGaSCAijmveHN59F5Ys4eX9++ncsSPDhw8nMjLS6WTJptIREfFmnTvDkCGY6GjGZsxI40aN6NOnD1FR/1gb2Sd4yyrTIiKSmIED4dgxXJGRzHjxRWqdPMmzzz5Lrly5qFevntPpbolGOiIi3s4YePNNeOYZ0r36Kkvq1KFMmTI0bdqUzz77zOl0t0SlkwhNJBARr+JywaRJEB5OYL9+rIqIoFChQtSvX5/t27c7nS7JVDqJ0EQCEfE66dJBTAw8/jhBPXqw9oUXyJw5M7Vq1SI+Pt7pdEmi0hER8SWBgbBwIdx/PyFdu7L+tdc4f/48oaGhHD58/R1gvI9KR0TE1wQFwdKlUKgQxXr04NNRozh48CB16tTht99+czrdv1LpiIj4ouBgWL4csmblgf79iR09mu3bt/Pkk0969TptKh0REV9VpIi7eC5f5vEhQ4iJjGT16tVevU6bSicRmr0mIj7hnnvcb7UdPUqj8eMZN2wY8+bNo0uXLl65TptKJxGavSYiPqNCBZg/H3bupNOiRbzcvz+TJk3yynXatCKBiEhaUL06TJ8OTZvyYtasHI6IYPjw4eTJk4fevXs7ne4PGumIiKQVjRrBhAmY5csZ/dtvNGvcmD59+jB16lSnk/1BpSMikpa0bw8jRuCaOZOPcubkiWrVaNeuHUuWLHE6GaDSERFJe/r1g+efJ2DiRGLLlftjnbYNGzY4nUylIyKSJg0fDhERZHzzTVY/+SQFCxYkLCyMH374wdFYKp1EaMq0iPg0Y2DcOGjcmCwvvcT6Ll1Ily4dtWvX5pdffnEslkonEZoyLSI+LyAApk2DqlUJfv551r70EkePHqVu3bqcPn3akUgqHRGRtCxjRpg3D0qWpOQLL7Dstdf4+uuvadKkCZcuXfJ4HJWOiEhalz27e9WCbNl4dOhQpg8fzvLly4mIiPD4qgUqHRERf1CwICxbBufP03TyZEY8/zxRUVG8+OKLHo2h0hER8Rf33uu+F8+ePfRdu5au7doxdOhQxo8f77EIKh0REX/y2GMQHY354gtGHztGeL16dO3alYULF3rk8CodERF/06QJvP02roULmZ0vH+XLlaNFixZ88cUXqX5olU4idJ2OiKRpPXpA//6knzSJT2rUIH/+/NSvX5+dO3em6mFVOonQdToikuYNHw5t2pBl+HA+69ABl8tFnTp1OHLkSKodUqUjIuKvXC6YPBlq1CBk0CDWDR7MoUOHCA8P5/fff0+dQ6bKq4qIiG/IkAHmzIH77qPk4MEsGjKETZs20aZNGxISElL8cCodERF/FxQES5ZAUBDVR45k/EsvMXfuXNauXZvih1LpiIgIFCgAsbHw229EzJ/PV+vWUbVq1RQ/jEpHRETc7r8fZs3CfPMN9w8ZAqmwNptKR0RE/lSrFrz3HqxcCZ9/nuIvny7FX1FERHxbhw5QtSrcdVeKv7RGOiIi8k+pUDig0hEREQ9S6SRCy+CIiKQ8lU4itAyOiEjKU+mIiIjHqHRERMRjVDoiIuIxKh0REfEYY611OoNXM8YcBfYm89uzASkx/S05r5OU77nZPv/2fGLP3ejxGz2WG/j1JvlSS0qcl9Q6J0nZL7XOi6+fk+S+jv6s3NjtnpMi1to8/3jUWqstlTZgglOvk5Tvudk+//Z8Ys/d6PFEHtviy+cltc6Jk+fF189Jap4Xf/yzklLn5PpNb6+lrkUOvk5Svudm+/zb84k9d6PHU+q/Q0pJiTypdU6Ssl9aPC/6s5L0LJ6SKln09po4whizxVpb3ukc8iedE++U1s6LRjrilAlOB5B/0DnxTmnqvGikIyIiHqORjoiIeIxKR0REPEalIyIiHqPSEa9ijJlnjDlhjJntdBZxM8YUMsasNsZ8a4z52hjT1OlM/s4Yk90Ys8UYs80Y840xpoPTmZJKEwnEqxhjqgJZgWestU0cjiOAMSYfEGKt3WaMyQvEASWstWcdjua3jDEBQEZr7TljzB3AN0B5a+0xh6PdlEY64lWstauB007nkD9Zaw9Za7dd/fUvuJdkyelsKv9mrb1irT139bcZAXN183oqHUkxxpgqxpiFxpgDxhhrjGl7g326GmPijTHnjTFxxpjHHIjqV1LyvBhjygEB1tqfUzt3WpYS5+TqW2xfAfuBN6y1Tq2bd0tUOpKSsuAe5v8X+P36J40xzYG3gWFAWWADsNQYU9iTIf1QipwXY0xOIAromNqB/cBtnxNr7Ulr7QNAMaCVMSbEE8Fvlz7TkVRhjDkDdLfWTvnLYxuBr621Hf7y2I/AbGvtC395rOrV79VnOiksuefFGJMRWAFMtNZO9WzqtO12/qz85bl3gVXWWq+fgKORjniEMSYDUA5Yft1Ty4HKnk8kkLTzYowxwBTcf6mpcFJZEs9JiDEm69VfZwOqAD94MmdyqXTEU3IDAcDh6x4/DOS99htjzEpgFlDXGLPfGFPJcxH9UlLOyyNAc6DB1Sm624wxpT2Y0d8k5ZwUAdZd/UxnHTDaWrvdcxGTL53TAUT+ylpbw+kM8nfW2vXoH6hexVq7CSjjdI7k0P9I4im/AleA6z/sDAF+8XwcuUrnxfuk6XOi0hGPsNZexH1RYc3rnqqJe2aOOEDnxfuk9XOit9ckxRhjsgDFr/7WBRQ2xpQBjltr9wEjganGmE3AZ0BnID8wzom8/kLnxfv49Tlx4t7b2tLmBlQF7A22KX/ZpyuwB7iA+19zVZzOndY3nRfv2/z5nOg6HRER8Rh9piMiIh6j0hEREY9R6YiIiMeodERExGNUOiIi4jEqHRER8RiVjoiIeIxKR8SHGWO2GGN8YnVhEVDpiPgsY0w64D5gq9NZRJJKpSPiu0oBGVHpiA9R6Yj4rmv3U1HpiM9Q6Yj4rrJXv25zNIXILVDpiPiuMkC8tfak00FEkkqlI+K7yqBRjvgYlY6IDzLGFAWyo89zxMeodER807XPc1Q64lNUOiK+SaUjPkmlI+KbygBHrbUHnA4icitUOiK+qSwa5YgPUumI+BhjTC6gICod8UEqHRHfo4tCxWcZa63TGURExE9opCMiIh6j0hEREY9R6YiIiMeodERExGNUOiIi4jEqHRER8RiVjoiIeIxKR0REPEalIyIiHqPSERERj/l/aSYTQfPpCq4AAAAASUVORK5CYII=\n", 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" ] @@ -210,19 +210,19 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "theta_deg = np.logspace(-1, np.log10(5.), 20) # Theta is in degrees\n", "\n", "#Cosmic shear:\n", - "xi_plus = ccl.correlation(cosmo, ell, cls, theta_deg, corr_type='L+', method='FFTLog')\n", - "xi_minus = ccl.correlation(cosmo, ell, cls, theta_deg, corr_type='L-', method='FFTLog')\n", + "xi_plus = ccl.correlation(cosmo, ell, cls, theta_deg, type='GG+', method='FFTLog')\n", + "xi_minus = ccl.correlation(cosmo, ell, cls, theta_deg, type='GG-', method='FFTLog')\n", "#Cosmic shear with IA:\n", - "xi_plus_ia = ccl.correlation(cosmo, ell, cls_ia, theta_deg, corr_type='L+', method='FFTLog')\n", + "xi_plus_ia = ccl.correlation(cosmo, ell, cls_ia, theta_deg, type='GG+', method='FFTLog')\n", "#Clustering:\n", - "xi_clu = ccl.correlation(cosmo, ell, cls_clu, theta_deg, corr_type='GG', method='FFTLog')" + "xi_clu = ccl.correlation(cosmo, ell, cls_clu, theta_deg, type='NN', method='FFTLog')" ] }, { @@ -234,12 +234,12 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -270,12 +270,12 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -294,11 +294,18 @@ "plt.ylabel(r'$\\xi (r)$',fontsize=18)\n", "plt.show()" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python [default]", "language": "python", "name": "python3" }, @@ -312,7 +319,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.8" + "version": "3.6.7" } }, "nbformat": 4, From 7b19abe7a6d1bbfce6a0aebd50a50ec8b19989b8 Mon Sep 17 00:00:00 2001 From: Jonathan Blazek Date: Wed, 22 Apr 2020 15:22:42 +0200 Subject: [PATCH 2/8] minor re-arrange and correlation functions added --- PerturbationTheoryPk.ipynb | 105 +++++++++++++++++++++++++++++-------- 1 file changed, 83 insertions(+), 22 deletions(-) diff --git a/PerturbationTheoryPk.ipynb b/PerturbationTheoryPk.ipynb index 392c7ce..e8adc85 100644 --- a/PerturbationTheoryPk.ipynb +++ b/PerturbationTheoryPk.ipynb @@ -56,7 +56,26 @@ "# Biases for IAs. Will be converted to the input c_IA values below.\n", "a_1 = 1.\n", "a_2 = 0.5\n", - "a_d = 0.5" + "a_d = 0.5\n", + "\n", + "# Define a redshift range and associated growth factor:\n", + "z = np.linspace(0,1,128)\n", + "gz = ccl.growth_factor(cosmo, 1./(1+z))\n", + "\n", + "# Let's convert the a_IA values into the correctly normalized c_IA values:\n", + "# First, do it explicitly:\n", + "Om_m = cosmo['Omega_m']\n", + "rho_crit = lib.cvar.constants.RHO_CRITICAL\n", + "rho_m = lib.cvar.constants.RHO_CRITICAL * cosmo['Omega_m']\n", + "Om_m_fid = 0.3 #or could use DES convention and just remove Om_m/Om_m_fid\n", + "\n", + "c_1_t = -1*a_1*5e-14*rho_crit*cosmo['Omega_m']/gz\n", + "c_d_t = -1*a_d*5e-14*rho_crit*cosmo['Omega_m']/gz\n", + "c_2_t = a_2*5*5e-14*rho_crit*cosmo['Omega_m']**2/(Om_m_fid*gz**2) #Blazek2019 convention\n", + "c_2_t = a_2*5*5e-14*rho_crit*cosmo['Omega_m']/(gz**2) #DES convention\n", + "\n", + "# Or we just use the built-in function for IA normalization:\n", + "c_1,c_d,c_2 = pt.translate_IA_norm(cosmo, z, a1=a_1, a1delta=a_d, a2=a_2, Om_m2_for_c2 = False)" ] }, { @@ -73,25 +92,7 @@ "metadata": {}, "outputs": [], "source": [ - "# Define a redshift range and associated growth factor:\n", - "z = np.linspace(0,1,128)\n", - "gz = ccl.growth_factor(cosmo, 1./(1+z))\n", - "\n", - "# Let's convert the a_IA values into the correctly normalized c_IA values:\n", - "Om_m = cosmo['Omega_m']\n", - "rho_crit = lib.cvar.constants.RHO_CRITICAL\n", - "rho_m = lib.cvar.constants.RHO_CRITICAL * cosmo['Omega_m']\n", - "Om_m_fid = 0.3 #or could use DES convention and just remove Om_m/Om_m_fid\n", - "\n", - "c_1_t = -1*a_1*5e-14*rho_crit*cosmo['Omega_m']/gz\n", - "c_d_t = -1*a_d*5e-14*rho_crit*cosmo['Omega_m']/gz\n", - "c_2_t = a_2*5*5e-14*rho_crit*cosmo['Omega_m']**2/(Om_m_fid*gz**2) #Blazek2019 convention\n", - "c_2_t = a_2*5*5e-14*rho_crit*cosmo['Omega_m']/(gz**2) #DES convention\n", - "\n", - "# Or we just use the built-in function for IA normalization\n", - "c_1,c_d,c_2 = pt.translate_IA_norm(cosmo, z, a1=a_1, a1delta=a_d, a2=a_2, Om_m2_for_c2 = False)\n", - "\n", - "# Number counts\n", + "# Number counts (galaxy clustering)\n", "ptt_g = pt.PTNumberCountsTracer(b1=b_1, b2=b_2, bs=b_s)\n", "\n", "# Intrinsic alignments\n", @@ -152,7 +153,7 @@ "\n", "# IAs x IAs\n", "pk_ii, pk_ii_bb = pt.get_pt_pk2d(cosmo, ptt_i, tracer2=ptt_i, ptc=ptc, return_ia_ee_and_bb=True)\n", - "pk_ii_nla = pt.get_pt_pk2d(cosmo, ptt_i_nla, tracer2=ptt_i_nla, ptc=ptc,)\n", + "pk_ii_nla = pt.get_pt_pk2d(cosmo, ptt_i_nla, tracer2=ptt_i_nla, ptc=ptc)\n", "\n", "# IAs x matter\n", "pk_im = pt.get_pt_pk2d(cosmo, ptt_i, tracer2=ptt_m, ptc=ptc)\n", @@ -302,6 +303,7 @@ "cls['gG'] = ccl.angular_cl(cosmo, t_g, t_l, ell, p_of_k_a=pk_gm)\n", "cls['GG'] = ccl.angular_cl(cosmo, t_l, t_l, ell, p_of_k_a=pk_mm)\n", "cls['GI'] = ccl.angular_cl(cosmo, t_l, t_i, ell, p_of_k_a=pk_im)\n", + "cls['IG'] = ccl.angular_cl(cosmo, t_i, t_l, ell, p_of_k_a=pk_im)\n", "cls['GI,NLA'] = ccl.angular_cl(cosmo, t_l, t_i_nla, ell)\n", "cls['II'] = ccl.angular_cl(cosmo, t_i, t_i, ell, p_of_k_a=pk_ii)\n", "cls['II,NLA'] = ccl.angular_cl(cosmo, t_i_nla, t_i_nla, ell)" @@ -321,7 +323,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -344,6 +346,65 @@ "plt.show()\n" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Or if you want an angular correlation function:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "theta_deg = np.logspace(-1, np.log10(5.), 20) # Theta is in degrees\n", + "\n", + "#Cosmic shear:\n", + "xi_plus_IA = ccl.correlation(cosmo, ell, cls['II']+ cls['GI']+cls['IG'],\n", + " theta_deg, type='GG+', method='FFTLog')\n", + "xi_minus_IA = ccl.correlation(cosmo, ell, cls['II']+ cls['GI']+cls['IG'],\n", + " theta_deg, type='GG-', method='FFTLog')\n", + "\n", + "xi_plus = ccl.correlation(cosmo, ell, cls['GG'],\n", + " theta_deg, type='GG+', method='FFTLog')\n", + "xi_minus = ccl.correlation(cosmo, ell, cls['GG'],\n", + " theta_deg, type='GG-', method='FFTLog')\n" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot\n", + "plt.plot(theta_deg, xi_plus, label='Lensing +, no IA')\n", + "plt.plot(theta_deg, xi_minus, label='Lensing -, no IA')\n", + "plt.plot(theta_deg, xi_plus+xi_plus_IA, label='Lensing +, w/IA')\n", + "plt.plot(theta_deg, xi_minus+xi_minus_IA, label='Lensing -, w/IA')\n", + "\n", + "plt.xticks(fontsize=14)\n", + "plt.yticks(fontsize=14)\n", + "plt.xscale('log')\n", + "plt.legend(loc='upper right')\n", + "plt.xlabel(r'$\\theta$ (deg)',fontsize=18)\n", + "plt.ylabel(r'$\\xi_{+/-} (r)$',fontsize=18)\n", + "plt.show()" + ] + }, { "cell_type": "code", "execution_count": null, From c37d1b6a4cef3ced467340613c1d852fbfdd2f38 Mon Sep 17 00:00:00 2001 From: Jonathan Blazek Date: Wed, 22 Apr 2020 15:55:00 +0200 Subject: [PATCH 3/8] added check of NLA through standard method vs through PTTracer --- PerturbationTheoryPk.ipynb | 35 +++++++++++++++++++++++++++++------ 1 file changed, 29 insertions(+), 6 deletions(-) diff --git a/PerturbationTheoryPk.ipynb b/PerturbationTheoryPk.ipynb index e8adc85..2b23265 100644 --- a/PerturbationTheoryPk.ipynb +++ b/PerturbationTheoryPk.ipynb @@ -239,7 +239,8 @@ } ], "source": [ - "pk_ii_bb = pt.get_pt_pk2d(cosmo, ptt_i, ptc=ptc, return_ia_bb=True)\n", + "# pk_ii_bb was already output above, but we could also get it alone this way:\n", + "# pk_ii_bb = pt.get_pt_pk2d(cosmo, ptt_i, ptc=ptc, return_ia_bb=True)\n", "\n", "plt.figure()\n", "plt.plot(ks, pk_ii.eval(ks, 1., cosmo), label='IA, $E$-modes')\n", @@ -293,7 +294,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -306,7 +307,8 @@ "cls['IG'] = ccl.angular_cl(cosmo, t_i, t_l, ell, p_of_k_a=pk_im)\n", "cls['GI,NLA'] = ccl.angular_cl(cosmo, t_l, t_i_nla, ell)\n", "cls['II'] = ccl.angular_cl(cosmo, t_i, t_i, ell, p_of_k_a=pk_ii)\n", - "cls['II,NLA'] = ccl.angular_cl(cosmo, t_i_nla, t_i_nla, ell)" + "cls['II,NLA'] = ccl.angular_cl(cosmo, t_i, t_i, ell, p_of_k_a=pk_ii_nla)\n", + "cls['II,NLA orig'] = ccl.angular_cl(cosmo, t_i_nla, t_i_nla, ell)" ] }, { @@ -318,18 +320,38 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1.00000455 1.00000474 1.00000465 1.00000474 1.00000479 1.00000501\n", + " 1.00000483 1.00000492 1.00000497 1.00000501 1.00000491 1.00000493\n", + " 1.00000503 1.00000501 1.00000497 1.00000502 1.00000493 1.00000486\n", + " 1.00000479 1.00000468 1.00000461 1.00000444 1.00000429 1.00000396\n", + " 1.00000371 1.00000338 1.00000304 1.00000248 1.00000209 1.00000227\n", + " 1.0000015 0.9999998 1.0000025 1.00000779 0.99998158 0.99992941\n", + " 0.99995552 1.00002597 1.00004726 1.00002781 0.99996612 0.99998192\n", + " 1.00023869 1.00036456 1.00020664 1.00006426 0.99994064 0.9999182\n", + " 0.99998834 1.00002344 1.00004308 1.00011127 1.00019809 1.00021452\n", + " 1.00006238 0.9995625 0.99933001 0.99989094 1.00046322 1.00095906\n", + " 1.00047626 0.99913849 0.99929699 1.00033037 1.0007303 1.00059938\n", + " 0.99939728 0.99882153 1.00047226 1.00120191 0.9998947 0.99925739\n", + " 0.99937763 0.99990337 1.00076958 1.00060075 1.00000018 0.9999131\n", + " 0.99993415 0.99995497]\n" + ] } ], "source": [ @@ -343,7 +365,8 @@ "plt.legend(loc='lower left', ncol=1, fontsize=13)\n", "plt.xlabel(r'$\\ell$', fontsize=15)\n", "plt.ylabel(r'$C_\\ell$', fontsize=15)\n", - "plt.show()\n" + "plt.show()\n", + "print(cls['II,NLA']/cls['II,NLA orig'])" ] }, { From ed4f244420e058fe8b9369a810f255ce51707f6e Mon Sep 17 00:00:00 2001 From: Jonathan Blazek Date: Wed, 22 Apr 2020 17:00:31 +0200 Subject: [PATCH 4/8] added some testing --- PerturbationTheoryPk.ipynb | 44 ++++++++++++++++++++------------------ 1 file changed, 23 insertions(+), 21 deletions(-) diff --git a/PerturbationTheoryPk.ipynb b/PerturbationTheoryPk.ipynb index 2b23265..c55ecde 100644 --- a/PerturbationTheoryPk.ipynb +++ b/PerturbationTheoryPk.ipynb @@ -59,7 +59,8 @@ "a_d = 0.5\n", "\n", "# Define a redshift range and associated growth factor:\n", - "z = np.linspace(0,1,128)\n", + "z = np.linspace(0,2,256)\n", + "#z = np.linspace(0, 1.5, 1024)\n", "gz = ccl.growth_factor(cosmo, 1./(1+z))\n", "\n", "# Let's convert the a_IA values into the correctly normalized c_IA values:\n", @@ -269,10 +270,11 @@ "outputs": [], "source": [ "z = np.linspace(0, 1.5, 1024)\n", - "nz = np.exp(-((z-0.7)/0.1)**2)\n", + "# nz = np.exp(-((z-0.7)/0.1)**2) # original\n", + "nz = np.exp(-((z-0.7)/1.0)**2) #wider distribution, for testing\n", "\n", "# Number counts\n", - "# We give this one a bias of 1, since we've taken care of galaxy bias at the P(k) level.\n", + "# We give this a bias of 1, since we've taken care of galaxy bias at the P(k) level.\n", "t_g = ccl.NumberCountsTracer(cosmo, False, dndz=(z, nz), bias=(z, np.ones_like(z)))\n", "\n", "# Lensing\n", @@ -294,7 +296,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -320,12 +322,12 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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WoWla9mNXBRBwAxyBlItS3gBKpnJNyVTic5nzpSdnSSAB03u9h8WkzBFqvs5i30TkdaAssCjZ4VNAf+A5TI9Ro4HdImJxfK+IDBSRQyJyKCQkxFKIzdQqXYDu3uVYuDeI8yH3HmnbmqZptmZvBTDbML+DnAD0Ukr9s76YUmqvUupHpdQRpdROoDtwDhhqKY9S6nullLdSyrtYsWKPpO/JDf9fDVycHPlCT4vQNC2bsbcCmHRHVSLF8RJAcCrXBKcSH2/Ol56cwZjuEt3SiEmZI+nu8j99E5EXMN319VNKrU6l3wAopRKAQ4CxMzwNUiy/M0OfqsqWwJv8oXeL0DQtG7GrAqiUisU0RaF1ilOtMY3ctGRvKvGHlFJx6czpD8QljxGRsoB7spi9gLv5ePIcMebrk67rhqn4+SqllpIGMS3PUBe4nlZsVunfvBLViufjk1UnuB+rd4vQNKPo7ZBMvLy8iImJoWLFioSG/vsmasWKFYgIgYGBNmnXrgqg2WTAV0QGiIi7iEwDSgOzAURkoYgsTBY/GygjIlPN8QMwjbScmN6cSqkIYB7wtYg8Yx6Usgg4Bmw259gEnAAWikh9EXkG0yPOOUqpO+a+9QAWAx8AO0SkpPlTJKkjIvKxiLQRkcoi4mlut25SX+yRk6MDY5/34Ort+3yz7WxWd0fTtHSwxXZI27dvx9fX19CcFy5coEyZMv9ZRi2Jn58fzZs3t9laoHZXAJVSS4BhwBjgCNAcaJ/sPVp58ycp/gLQHmhhjh8NvKmU+j0DOTGfXw4sAXYD94BnzY8okx5VdsA0h2+3Oe534N1kOQZhGnwzFdMdXdJnWbKYQsD3mEaYbgLKAC2UUgcy9pt6tJpULkqX+mX4bsc5zukBMZpmM4/rdkiW1KlTh9u3b6OUomjRoixcaLp36devH3/88QcAGzZsoG3btg9ce+/ePXbt2sW8efNSXabNWna5GLZS6lvg21TOtbJw7E+gQWZzms/HYBqIYnEwijnmEtDxIecf6JuFmLeBt9OKs0cj27vzR8ANPlr5Nz+90vifxXU17XE3/sB4AsONfcxWs0hNRjQakeHrHuftkFJK2hKpQoUKVK5cmZ07d9KvXz/27t3LrFmzAFMBnDJlygPXrly5krZt21K9enWKFi2Kv78/Xl4Pm3GWcXZ3B6jZr2L5nXm/TQ12nw1j9TG7fWWpaY81e9wOqXHjxnh6ejJgwABWrVqFp6cnnp6ebNy48aE/i4+PDzt27GDHjh0MHjyY48ePc/XqVQoXLkzevHmJjY3lypUrVK5c+YFr/fz86NGjB2C7LZHs8g5Qs1+9Glfg10NX+HzNSZ6sUYz8Lk5Z3SVNs1pm7tRsxd62QwLYv38/YHoHuGDBAhYsWJCu61q0aME333zDpUuX+OKLL1i+fDlLly7Fx8e0OuTOnTtp3rz5A9eFh4ezdetWjh8/joiQkJCAiDBhwgRDnzzpO0AtQxwdhM+f9yDkXgxT/tArxGia0extO6T0mDlzJjNnznzgeLly5QgNDeXMmTNUrlyZ5s2bM3HiRFq0aAGYHn+2a9fugeuWLl1K3759uXjxIkFBQVy+fJlKlSqxc+fOTPfREl0AtQyrV64QvRqVZ8GeC5y49uD7Bk3T0udx3A7JksDAQIoWLWrxXOPGjf/ZDd7Hx4erV6/+c9e3fft2i3sDPqotkcS0Tqj2OPD29lZJo7qyWkRUHE9N2k6FonlYOqgZDg56QIz2eAkICMDd3T2ru5GloqKicHV1RUT45Zdf8PPzY+XKlRnO07FjR5YtW0bu3LnTfc2VK1d49dVXWb9+fYbbexhLf64i4q+U8k4Zq+8AtUwpmMeJke3dOXzpNr/5X077Ak3T7E5mtkOyZM2aNRkqfgBly5Y1vPhllB4Eo2Va1wZlWHLwEl+tD+R/tUpSOG/G/gfQNC1r+fj4cPTo0azuRpbRd4BapokIY5/34E50PF9vtM1SRZqmabaiC6BmlZolC9D/iYr4HbjM4Usptz3UNE2zX7oAalZ765nqlCzgwpjlfxOfkJjV3dE0TUsXXQA1q+VzzsVHz9bi5PU7LNp3Me0LNE3T7IAugJoh2nmUxKeaG5M3nebmneis7o6mPRZy4nZIgwYNYvfu3fj6+rJ06b87xoWGhuLk5GSTNUlTowtgDhARE8HlO7adqiAifPacBzHxiXyxTu8er2lZzRbbIRlh3759NGnS5IHjv/32G02aNLHZ1keW6AKYzSmlGLx5MG9sfYOouCibtlXJLS+DWlVh5ZFr7DkbmvYFmqY94HHdDun1119n1apVAHTu3Jn+/fsD8MMPPzB69GjANEm9evXqODo6PnC9n58fkyZN4urVq1y5ciXT/cgIPQ8wmxMR3mzwJq/98Rqf7PmE8S3G23QboyGtqrDir6t8uPJv1r/Vgty59L+xNPsXPG4cMQHGTuVxdq9JyVGjMnzd47odko+PDzt37qRTp05cvXqV69dNO8bs3Lnzn10d1q9fb3Hvv8uXL3P9+nUaNWpEt27dWLJkCcOHD7eqP+mh/3bKAZqUasLQ+kNZH7SenwN/tmlbLk6OfNqpNudCIpm767xN29K07Mget0NKj6QCePLkSWrVqkWJEiW4fv06e/fupVmzZgBs3LjRYgFcsmQJ3bp1A2y39ZEl+g4wh+jv0Z+jN48y8eBEahetjWdxT5u19WTN4rSpXYLpW87QqV5pyhbOY7O2NM0ImblTsxV72w7pm2++Yc6cOQCsW7eO0qVLW4wrU6YMt2/fZsOGDbRo0YLw8HB+/fVX8uXLR/78+YmKiuL27dsWr/fz8yM4OJjFixcDph0uzpw5Q7Vq1dLdz8zQd4A5hIM48HnzzymZtyTD/xxO2P0wm7b30bO1EYRPV9vfKDRNs2f2th3S66+/zpEjRzhy5AilS5fmwIED9OvXL9V8U6dOpUWLFvj4+DBx4sR/9v7btm0bTz755APXnD59mnv37nH16lWCgoIICgpi5MiRj+QuUBfAHKSgc0GmPDmFiJgIRuwYQUJigs3aKlPIlbeeqcYfJ2+w+eQNm7WjaY+zx3E7pEuXLuHq6mrxnI+PD/Hx8VStWpUGDRoQHh7+TwFM7f3fo9r6yBK9HdJjxKjtkJafWc5Hez7i1Tqv8maDNw3omWWx8Ym0n76T6LgE/ni7Ja65Hxz5pWlZRW+HlLntkN577z369u1L3bp1M9RWgwYN2L9/P05OTtZ0OU16OyTtoTpX60zXal2Zc3wO2y9vt1k7uXM5MPY5D67cus83287arB1N0zInM9shTZgwIcPFD+Dw4cM2L34ZpQfB5FAjG4/kZNhJRu0cxZJnl1AufzmbtNO0SlE61y/DdzvO8ZxnaaqVyG+TdjRNyzi9HZKWIzk7OjO51WQQeGf7O0TH2275stEd3MnrnItRy4+TmKgfuWuaZh/ssgCKyBARuSAi0SLiLyI+acS3NMdFi8h5ERmU0Zwi4iwiM0QkVEQiRWSViJRNEVNeRFabz4eKyHQRyZ3sfBcR2SQiISJyV0T2i0gnC33pKiInRSTG/LVzyphHoWz+snzl8xWB4YGM2z/OZu245XNmVDt3DgbdYskhvXu8Zj/0GIjsJaN/nnZXAEWkOzANGAfUB/YA60WkfCrxlYB15rj6wJfADBHpmsGcU4GuQE/ABygArBERR3MOR2AtkN98vifwApD8oXlLYCvQwdzOOmB58mIrIk2BJcBiwNP89TcRaZyR35NRWpRtwcC6A1l+djnLziyzWTsvepelcaUifLkugJt39WLZWtZzcXEhLCxMF8FsQilFWFiYxfmTqbG7UaAish84ppR6NdmxM8BSpdRIC/HjgS5KqWrJjs0FaiulmqYnp4gUBEKAl5VSi83nywEXgXZKqY0i0g5TAayglLpsjukDzAWKK6XupPLzHAB2KqWGm79fAhRRSrVOFrMZCFFK9XzY78aoUaApJSQmMGjzIA7fOMzC9gupXbS24W0AnAu5R7upO2njUZIZPevbpA1NS6+4uDiuXLlCdLT+B1l24eLiQtmyZR8YbJPaKFC7GgRjfpzoBUxMcWoT0CyVy5qazye3EXhJRJwASUdOL8ApeR6l1GURCTDHbDS3E5BU/JK142y+flsq/csPJN8qvSkwI0XMRuCNVK63OUcHR8a3GE+31d0Yvn04SzouoaBz2vOBMqpKsXwMebIKUzefoWuDMrSqUdzwNjQtvZycnKhUqVJWd0PLQvb2CNQNcARSzpy+AZRM5ZqSqcTnMudLT86SQAKQcguDlDEpc4Sar7PYNxF5HSgLLEpHf1P7+R6JIi5FmNRqEjeibjBy50gSlW12dh/cqgqVi+Xlw5V/cz/WdhPxNU3T0mJvBTDbML+DnAD0Ukplept0ERkoIodE5FBISIhxHbSgXrF6vN/wfXZe3cmcY3Ns0oZzLkfGda7D5fD7TN1y2iZtaJqmpYe9FcCkO6oSKY6XAIJTuSY4lfh4c7705AzGdJfolkZMyhxJd5f/6ZuIvIDprq+fUmp1Ovtr8edTSn2vlPJWSnkXK1bMUoihetToQftK7fnmyDfsubbHJm00qVyUbt5lmbvzAievWXx1qmmaZnN2VQCVUrGAP9A6xanWmEZuWrI3lfhDSqm4dOb0B+KSx5inQLgni9kLuKeYGtEaiDFfn3RdN0zFz1cptTQD/bVNtckgEeHjph9TpVAVRuwYwfV7123Szqj27hRydWLk8uMk6LmBmqZlAbsqgGaTAV8RGSAi7iIyDSgNzAYQkYUisjBZ/GygjIhMNccPAHz576CXh+ZUSkUA84CvReQZEamPqYgdAzabc2wCTgALRaS+iDyD6RHnnKQRoCLSA9O0hg+AHSJS0vwpkqwv04CnROQDEakpIiOBJzFNw7ALeZzyMLnVZGITYhn+53BiE2INb6NQntx82LEWRy/f5qd9mX5CrGmalnlKKbv7AEOAIP69u2qR7Nx2YHuK+JbAYXP8BWBQRnKazztjGp0ZBkQBq4FyKWLKA2vM58OA6YBzir4pC5+U/X0BCARigQBM0zjS/L14eXmpR2njhY3KY4GH+nzv5zbJn5iYqPrM3adqf7RBXb993yZtaJqmYXoi+MDfqXY3D1BLna3mAT7MhIMTWHhyIV/6fEnHyh0Nz38xLJL/TdnBkzWKM7uvl+H5NU3T9G4QWqYM8xpGg+IN+HTPp5wIO2F4/gpF8/LWM9XYcCKYP/S+gZqmPUK6AGoP5eTgxKRWkyjkUoi3tr5F6P2UUyWt96pPZWqWzM9HK//mXky84fk1TdMsyVQBFJHqItJZRF4zz1PrLCLV0r5Sexy5ubox/cnp3Im9w7BtwwwfFOPk6MAXnesQfCeaSZtOGZpb0zQtNekugEmjJ0XkKqaBG0uBWZhGUi4FAkXkWtJoTNt0V8sq7kXdGfvEWI6GHOWzvZ8ZvoCwV4XC9G5cnh/3BHHsym1Dc2uaplmSZgEUkSoishT4G3gF09SAT4F+QHtMOx/0Az4DjgIDgL9F5DcRqWyrjmuPXpuKbRhUbxArz61k4cmFaV+QQe+3rYlbPmc++P048Qm2WYpN0zQtSXoWwz4JHMc0t26ZUiryYcEikhfTMP+3zNemf28Kze4NrjeYs7fOMtl/MlUKVaF5meaG5S7g4sQnnWozZPFh5u8O4tUW+t9PmqbZTnoegb6oTEtxLUqr+AEopSKVUj8qpRoA3a3vomZPHMSBL5p/QdVCVXn/z/e5EHHB0PztPErydM3iTP7jNFduRRmaW9M0Lbk0C6BSalXSf4uIk4g0Nt/lpUkptdKazmn2KY9THmY8NQMnRyfe3PomETERhuUWET573gMR+GjlCb1ZqaZpNpPRUaDxwG5gqA36oj1GSucrzeRWk7ly7wojdowgPtG46QtlCrnyTuvqbA28ybrjqa2BrmmaZp0MFUDzkjLBgF7CX8OrhBdjGo9h97XdTPGfYmhu32YV8ShTgE9WnyDifpyhuTVN0yBz8wCXAW2N7oj2eOpavSu9avZi4cmFrDi7wrC8uRwd+KpLXcLuxfD1hkDD8mqapiXJTAH8BqghIsON7oz2eHqv4Xs0KdWEz/Z+xpGbRwzL61GmIC8/UYnF+y/hfzHcsLyapmmQuUAAqmkAACAASURBVAIYAJTBtHXQnyLyip7vl7PlcsjFxJYTKZm3JMO2DSM40rj3du+0rk7pgi68+9sxbkcZvy2Tpmk5V2YK4ARMA2HCAB9gDnBGRMJFZLOIjDdvCqvlIAWdCzLjqRlEJ0Tz5tY3uR9/35C8eZ1zMbVHfa7eus/ARf7ExCcYklfTNC3DBVApNUIp1UYpVRwoB3TCtDLMn0BV4D3Az9Beao+FKoWq8HWLrwkMD+TD3R8aNoWhUaUiTHixLgcuhPP+0mN6aoSmaYZIz0owqVJKXQWuYtokFgARKQzUt7Jf2mOqRdkWDPMaxhT/KVQrVI3X6r1mSN7nPMtw5dZ9Jmw8RfkieRj+vxqG5NU0LeeyqgBaopS6BWw1Oq9mBaVA5JE193Ltlzlz6wwzj8ykaqGqPF3haUPyDmlVhUthUczYepZyhfPQrWE5Q/JqmpYzpWcx7Ez/7SUiz2T2Ws1AWz6FDSMh4dHstScifNLsE+q41WHkrpGcvnXasLyfd/bAp5obo5YfZ+eZEEPyapqWM6XnHeAGEdkqIh1FxDGtYPNyaZ1F5E9gnfVd1KyiFMRFw75v4acuEPVophM4Ozoz9cmp5HfKz5tb3yQ82ph2nRwd+KZ3A6oWz8eQnw4TGKzXZNA0LXPSUwDrY1oCbRVwTUQWi8hb5oLYTESeEJFnReQdEfkV00oxS4EowNN2XdfSRQTafQXPfQOX9sKcJ+HGyUfSdPE8xZn21DRC74fyzvZ3iEswZkWXAi5O/ODbENfcjvSff5Abd6INyatpWs4i6R1RJyJNgSHAc0A+IOWFgmmJtGXALKXUQQP7qQHe3t7q0KFDmU9w+SAs6QMxd6HLd+D+rHGde4h159cxYucIulTrwidNP0EMeh/599UIun23l0puefn1tabkdTb8lbamadmAiPgrpbxTHk/3NAil1F6lVF+gMNAE0+a4HwAjgP5AQ6CIUqq/Ln52qlxDGLgditc0FcLt4yHR9hvPtq/cnoF1B7LszDIWnVxkWF6PMgX5plcDAq7fYajfX3oTXU3TMiTdd4Ba1rP6DjBJXDSseRuO/gw1O0Ln2eCc3/q8D5GoEnn3z3fZcmkLM56aQYuyLQzL/dO+i4xZ8Td9mpRn7HMeht1hapqWPVh9B6hlI04u8Py30OZLOLUe5v0Pwo3d2DYlB3Hg8yc+p0bhGry/433O3DpjWO4+TSrwWsvK/LTvEnN32vbn0DQt+7DLAigiQ0TkgohEi4i/iPikEd/SHBctIudFZFBGc4qIs4jMEJFQEYkUkVUiUjZFTHkRWW0+Hyoi00Ukd7LzpUTkZxEJFJEEEVlgoR++IqIsfFwy/Iuyhgg0HQJ9foc710yDY85vt2mTeZzyMP2p6eTJlYehW4caNjIUYESbmnSoU4ov1gWw7vh1w/JqmpZ92V0BFJHuwDRgHKYRqHuA9SJSPpX4SpimW+wxx38JzBCRrhnMORXoCvTEtMZpAWBN0tQP89e1QH7z+Z7AC8CkZDmcgVDgK2D/Q37MKKBU8o9SKmuGMlZ5EgZug3wlYVEX2DfLNHXCRkrmLcn0p6YTej+Ut7e9TWyCMQtcOzgIk7rVw6tCYd5ecgT/i7cMyatpWjamlDL0A7QAHK24fj8wJ8WxM8CXqcSPB86kODYX2JvenEBBIBbonex8OSARaGP+vp35+3LJYvoA0UABC/1aAyywcNwXuJeZ342Xl5eymeg7Svn1UurjAkotH6xU7H3btaWUWn9hvfJY4KFG7xytEhMTDcsbdi9Gtfx6q6r/2SYVFHrPsLyapj2+gEPKwt+ptrgD3GYuKBlmfpzoBWxKcWoT0CyVy5paiN8IeJsn5acnpxfglDxGKXUZ09ZPSTFNgQDz8eTtOJuvzwhXEbkoIldEZI2IZP3aqc75odsiaDUSjiyGBR3gju0eJbat2JYh9Yaw8txKFpxYYFjeInlzM//lRiileHn+QW5F6i2UNE2zzBYF0JoheG6AI3AjxfEbQMlUrimZSnwuc7705CwJJGB6fPmwmJQ5Qs3XpdY3S05hmjbyHKbHqNHAbhGpZilYRAaKyCERORQSYuOlvxwcoNUH0H0xhATC961McwdtZFC9QbSt2JYp/lPYdmmbYXkrueVlTj9vrty+z8BFh4iO01soaZr2ILt7B5jdKdN8yh+VUkeUUjuB7sA5YGgq8d8rpbyVUt7FihV7NJ107wiv/GEaLbqgPfy12CbNiAhjnxhL7aK1GbFzBKfCTxmW27tiESa9WI+DQbd4b+kxEhP1dB9N0/7L3gpg0h1ViRTHS2BaYs2S4FTi48350pMzGNNdolsaMSlzJN1dZnoLdKVUAnAIsHgHmGVK1IJXt0GFZrByiM0W03bJ5cK0p6aRP3d+hm4dSuj9lDfhmfdsvdKMaFuT1UevMWGTccVV07Tswa4KoFIqFvAHWqc41RrTyE1L9qYSf0gpFZfOnP5AXPIY8xQI92QxewH3FFMjWgMx5uszRUyztusC9jd2P08R6P07NBliWkz7524QHWF4M8XzFGfGUzO4FX2LYduGEZMQY1juQS0r06txeWZtP8e8XXqOoKZp/7JFAbT2WdNkwFdEBoiIu4hMA0oDswFEZKGILEwWPxsoIyJTzfEDMI20nJjenEqpCGAe8LWIPGMelLIIOAZsNufYBJwAFopIffNWTxMwjS79Z0sCEfEUEU9M0yiKmL+vlez8xyLSRkQqm+PmYSqAs638vdmGYy5o+yV0mgEXdsDcZyDsnOHN1Cpai3E+4zgacpRP9nxi2K7vIsLY5zxoW7skY9ecZNnhK4bk1TQtG7A0NNSaD6apAkWszDEECOLfu6sWyc5tB7aniG8JHDbHXwAGZSSn+bwzMAMIwzRPbzXJpjyYY8pjmt4QZY6bDjiniFEWPkHJzk8BLpr7cRPTSNKm6fm92HQaRHpc2KXUVxWV+rK8Uue226SJ2UdmK48FHmrOsTmG5o2Oi1e95uxVlUeuVX+cCDY0t6Zp9o1UpkEYvhaoiPgBA5RSkYYm1oxbC9Qat4Lg5x4QdgbafQ0NXzE0vVKKETtHsP7Ceqa0msIzFYzbU/leTDy95uzjVPBdFr3SmEaVihiWW9M0+/XI1gJVSvXUxS8bK1wRXtkEVZ6Gte/AuvcMHRwjInzW7DPqutVl1K5RBIQFGJY7n3MuFrzciDKFXXnlx4OcvKY309W0nMyuBsFojwmXAtDTD5q+AQe+h8UvwH3jlh5LGhla0LkgQ7cOJSTKuPmPRfLmZtErjcnnnIt+PxzgYpj+t5qm5VS6AGqZ4+AIbb4w7TQftMs0OCb0rGHp3VzdmPHUDO7E3mHYtmFExxu3VGqZQq4seqURCYmJ9Jm3n5t6R3lNy5GsLoAikpFVULTspn4feGm16Q5w7lNwzrgVXWoWqcmXPl9yLPQYI3eONHR6RNXi+VnwciPC7sXS74cDRETFGZZb07THgxF3gH+LyD4RGSUiHgbk0x43FZqaJs0XKAM/dYUDcwxL/XT5pxnRcASbL21mwMYBhN0PMyx3vXKF+L6vN+dDInnlx4Pcj9VLpmlaTmJEASwBjASKAStE5Jx5Tt5TSVsJaTlA4QqmwTHV/gfr3oU170CCMXdVfWr1YWLLiQSEB9B7XW/O3jLuUWvzam5M7eGJ/6VbDFnsT1xComG5NU2zb1YXQKVUglJqm1LqbaVUVaATpkWjvwBumDeI7SEi+a1tS8ucsLlzCZ01CxVn48d8zvmhx2J4Yhgcmme6G4wyZtPbNhXbML/NfKLjo+m7vi+7r+42JC9A+zql+OL5Omw7FcJ7vx3V64ZqWg5hi2kQJ5RSXyqlmgK1gC2Ydj14zei2tLQppYg5c4aQadO50K070QHGTSuwyMERWn8Kz8+GS3th7tMQctqQ1HWK1cGvgx+l85VmyJYh+AX6GZIXoFfj8rzXpgYrjlzjszUnDVuJRtM0+2WTUaAi0gxAKXVTKTVPKfWcUmpiWtdpxhMRSo8fT5kZ04kPCeHCi90ImT6dxFgb75Pn2RNeWgMxd00jRM9uMSRtqXylWNhuIT5lfBi3fxzj9o8jPtGYeYhDWlVhQPNKLNgTxIytxj1m1TTNPtlqGsQaG+XVMqlA69ZUWbOagh3aE/rtLIK6duX+8eO2bbR8Y3h1KxQqZ1pI+/hSQ9LmdcrLtCen0a9WP/wC/Xhj6xvcjb1rdV4RYVR7d7o0KMPkP06zaN9FA3qraZq9slUBtGZTXM1GHAsVovT48ZSdPYuEO3cJ6t6DmxMnkhhtw3lwhcrDy+uhXBP4fQAcnGtIWkcHR95r+B4fNf2I/df20299P67ctX6hawcHYXzXujzjXpyPVv7N6qPXDOitpmn2yFYFUL9AsWP5W7Wi8prVFOrahbC587jQuQtRhw/brkGXAtBnKVRvC2uHw44JYNA7therv8is1rO4EXWD3ut6c+TmEatzOjk6MLNXAxpWKMI7vx7hz9PGrUSjaZr9MKQAisgFETmf9AEKmP/7gvl7zc445s9PqbFjKTdvLiomhou9+xA8bhyJUVG2adDJFbovgro9YOvnsHE0JBoz5aBJqSb81P4n8jrl5ZWNr7D2/Fqrc7o4OTLX15uqxfMzaJE/hy8Zt9Sbpmn2wZDdIESkQvJvgaOY9rgDQCmlX6YYwFa7QSRGRnJz0mRu/fwzTuXKUWrsWPI2aWx4O6bGEmHjSNg/Gzx7w7PTTXsOGuB29G2GbR+G/w1/BtUbxJB6QzDtN5x5IXdjeHH2HkLuxjDxxXq0q1PKkL5qmvbopLYbhOHbIZkbC1dK6b1mDGbr7ZCiDh7k2ugxxF26RKEe3Sn+7ns45strfENKwZ9fw/ZxULMjdJ0HTi6GpI5LiOPTvZ+y8txK2lZsy9gnxuKSy7rcwRHRDPrJnyOXbzOoZRXe/V91cjnqZXQ17XHxyLZDSmrPRnk1G8rTsCGVV66giK8vt5f8yvlOz3Jv5y7jGxKBViOg3QQIXGPaTSLG+lGcAE6OTox9YizDGgxjQ9AGXtn0CqH3Q63KWbKgC0tea0KvxuWZ/ec5fOcfJDzSxtNINE2zOVsVwJ9tlFezMQdXV0p8MIIKPy/GwcWVy6++yrVRo0mIiDC+scYDocscuLgHfnwWIo1Z51NEeKXOK0xpNYXT4afptbYXp29ZNxnfOZcj4zrX4euudTkQFM6zM3Zx/IoNfieapj0yaRZAEXHNaFKl1OuZ645mL/LUr0+l5csoOnAgEStXcv7ZTtzbscP4hup2gx4/w80AmN8WIqyfypDkmQrPsKDdAhISE+izrg9bLlo/Gb9bw3IsHdQUpRRdZ+/h10OXDeippmlZIT13gLdFpLPNe6LZHQdnZ4q/8zYVf/kFx4IFuDzwNa5/+CEJ9+4Z21CNttBnGdwNhh/aGrqvYO2itfm5w89ULVSVYduHMevoLBKVdaNP65YtxOqhzWlYsTDvLz3G6OXHiYnXO0lo2uMmPQXQCSht6YSI6JEAOYBrHQ8qLl1K0VcHcPv3ZZzv1InIffuMbaTiE+C7BuLuww9t4Jr18/mSlMhbgvlt59OpSie+PfItw7cPJyrOuukeRfM58+PLjXitZWUW779Ej+/3ERyhN9bVtMdJegtYlZQHRKQEcCdp3c8U514Vkb0iskpEWlvbSS3rOTg7U3z4cCos/gmH3M5c8n2Z4M/GGjtvsFQ96L/RNGfwx2chyLgdH5wdnfn8ic95v+H7bL28ld7renP5rnWPL3M5OjCynTvf9m7AqeC7dJyxk33njduvUNM020pvAWxp4VhRIA+m/QD/ISJ1ge+AkkBlYIOIvGhNJzX7kfRusMhL/bjl58f55zsT5e9vXANuVU1FMH9J+KkLnNpgWGoRoW+tvsx6ZhY3o27Sc21P9l23/k62fZ1SrHz9CQq4ONF77n7m7bqgd5PQtMdAegugp4ikLIKemJY8q5DiuIf5eB3zZz3wkTWd1OyLg6srJUaOpMLCHyExkYt9+nLjq/HGrSlasAy8vAGKu8MvveDYr8bkNWtWuhl+Hfxwc3Fj0B+D+OnkT1YXrGol8rPijSd4qmZxxq45yVu/HCEq1phdKjRNs430FsAzwM8i0hRARHIBrwPxQPMUsYWB+0qpe8r0t8pQ4OuMdEpEhpiXUYsWEX8R8UkjvqU5Ltq8BNugjOYUEWcRmSEioSISaX58WzZFTHkRWW0+Hyoi00Ukd7LzpcwbAAeKSIKILEilv11F5KSIxJi/PpaDjJLmDRbq3o3wBQu40KUr948eNSZ53qLw0mqo0AyWvQq7pkKicQNNyhcoz+IOi2lRtgXjD47nw90fEpMQY1XOAi5OfNfHi/fa1GD1sWt0+XYPQaGRBvVY0zTDKaUe+gGCgVeBvUACcAq4aP7vUUAUUCVZ/ALgdFp5H9JedyDO3KY7MAO4B5RPJb4SEGmOczdfFwd0zUhOYBZwDWgNNAC2A0cAR/N5R+C4+XgDc9w1YEayHBWB6YAvsAdYYKG/TTH9w2G0uS+jzd83Tut34+XlpezV3V271OlWT6qT7rXUjUmTVUJMjDGJY+8r9UsfpT4uoNTsFkpdPmRMXrOExAQ186+ZymOBh+q1ppe6EXnDkLzbT91UdT/ZqDw+3qC2BAQbklPTtMwBDilL9cPSwQeCTCNBnYDBwG/AWuAN87nfgfNAb6A/cB/4IT15U2lrPzAnxbEzwJepxI8HzqQ4NhfYm96cQEEgFuid7Hw5IBFoY/6+nfn7csli+gDRQAEL/VqTSgFcAvyR4thmwC+t3409F0CllIq/c0ddHTVKnaxRU517tpO6f+KEMYkTE5U6vlSpCdWV+rigUquHKRUZZkxus01Bm1TDnxqqJ5c8qY7ePGpIzkthkard1B2qwog1avKmUyo+IdGQvJqmZUxqBTBdj0CVUnHmzyyl1ItKqQ5KqZnm04OAUGCRufDEAxPSkzcl8+NEL2BTilObgAdGm5o1tRC/EfAWEad05vTCVOD/iVFKXQYCksU0BQLMx5O342y+Pr1S629qP99jwzF/fkp/8YVpv8Fbt7jQrTshM79BxcVZl1gEPLrCGwehyWDw/xFmesNfiw3bUaJ1hdYsareI3I658d3gy8qzK63OWa5IHn4f3IwuDcowbcsZfOcfIOyedY9ZNU0zjtXz+JRSIUqpRsDTwCtAXaVUQCbTuWF61HgjxfEbmEaVWlIylfhc5nzpyVkS0yPdlItGpoxJmSPUfF1qfctIfy3mEJGBInJIRA6FhDwe+9Llb9WKyqtXUaBdO0JnziSoew9izpyxPrFLAWj7Jbz2JxStCiuHwIL2cOOE9bmBGkVq4NfBj/rF6zNm9xjGHxhPfKJ1A1lcczsy6cV6jOtch/0XwukwfRf+F8MN6a+madYxbCK7UmqbUmq+UuqCUTk1UEp9r5TyVkp5FytWLKu7k26OhQpRZsLXlJkxnbjgYC688CK3f19mTPKSdUyjRDvNhJBTMNvHtL+gAQtqF3YpzOzWs+nt3pufAn5i0OZB3I6+bVVOEaFX4/IsG9yM3Lkc6P7dPubuPK+nSmhaFrO3lVyS7qhKpDheAtNgHEuCU4mPN+dLT85gTHeJbmnEpMyRdHeZWt8y0t+M5HhsFGjdmsqrVuLaoD7XR4/m2shRJN6/b31iBwdo0BeG+pu+7v0GZjaEv5dZvdu8k4MTHzT6gM+afcbhG4fpuban1YtpA3iUKcjqoc15qmZxPl8bwKCf/Im4b+XjYU3TMs2uCqBSKhbwxzTCMrnWmEZVWrI3lfhD5veW6cnpj2mU6D8x5ikQ7sli9gLuKaZGtAZizNenV2r9Te3ne+zlcnOj/Ny5uA0ZQsSKFQR1607MeYMeFOQpAs9OgwGbIW8xWPoyLOpsyHqinat1Zn7b+UQnRNNjTQ+m+E8hMs66aQ0FXZ34rq8Xo9u7szngJp1m7uLENb2rhKZlCUsjY7Lyg2nKQiwwAFMBmoZpykIF8/mFwMJk8UnTIKaa4weYr085DSLVnOaYWcAV4BmgPrANy9MgtprPPwNcJdk0CHOcp/mzA1hl/u9ayc43w3R3+gFQExiJqfg+1tMg0uvuzl3qVJOmKrB+AxWxdq2xyRPildr3nVLjyir1mZtSW8YqFRtlddqQqBA1auco5bHAQ7Va0kqtOLNCJSQmWJ334IUw1fiLzara6HXq5/0XVWKiHiWqabaANdMgHvUHGAIE8e/dVYtk57YD21PEtwQOm+MvAIMyktN83hnT/MAwTHMbV5NsyoM5pjym6Q1R5rjpgHOKGGXhE5Qi5gUg0FyUA4Au6fm9ZIcCqJRSsdevqws9e6mTNWqq659+atycwSR3gpX6/VXT3MEpdZQKXG9I2qM3j6qea3oqjwUequeanoZMlwi9G636zN2nKoxYo95e8peKjIkzoKeapiWXWgEU0zntceDt7a0OHTqU1d0whIqL4+aUqYT/8AMutWtTZtpUcpctm/aFGXFhB6x9F0JPQc2O0H4CFLC4sUm6JapE1pxfwxT/KYTeD6VTlU4MazCMYnkyP0ApIVExY+sZpm05Q7Xi+fi2txdVi+ezqp+apv1LRPyVUt4PHNcF8PGRnQpgkrtbtnBt5CgASn/1JfmfesrYBuJjYe9M+HM8OOaG1p9Bg5dMg2isEBkXyffHvmfRyUU4OTgxsO5A+tbqS27H3GlfnIodp0MYtuQIMXEJfNm1Lp3qWVesNU0z0QUwG8iOBRAg9soVrr41jOgTJyjySn+KDxuGODkZ20jYOVj9FgTthArNTQNn3KpanfbSnUtMODSB7Ze3Uy5/Od7zfo9W5VohIpnKdz3iPm/8/Bf+F2/Rr2kFRndwxzmXo9X91LScTBfAbCC7FkCAxJgYbo4fz62f/XD18qLM5Ek4lUg5W8RKSsHhhbDpQ4iPhlYfQLOh4Gh9sd1zdQ/jD47nfMR5mpVuxoiGI6hcqHKmcsUlJPL1hkDm7LxAvbIFmdmrAeWK5LG6j5qWU+kCmA1k5wKYJGLNWq5/9BEOzs6UnjiBfE88YXwjd67DunchcA2UrAudZkBpT6vTxiXGsSRwCd8e+Zao+Ch61uzJYM/BFMhdIFP5NvwdzHu/HcXBQZj4Yj1a1zL4HwSalkPoApgN5IQCCBBz/jxX3xpGzNmzuA0ZgtuQwYijDR4DnlwJ696DyFBo9ga0Gmnajd5K4dHhzPxrJktPL6WQcyGGNhhKl6pdcHTI+M9wMSySIYsPc+LaHZ73LM2HHWtRNJ+z1X3UtJxEF8BsIKcUQIDE+/cJ/vQzIlasIE/TJpSZMIFcbikX6jHA/VuwaQz89RMUqQzPTodKD91+Mt0CwwP56sBX+N/wp2aRmoxoOALvkg/8P5immPgEvt12jm+3nyWfcy7GdKhFlwZlMv2eUdNyGl0As4GcVACT3P79d4I/G4s4O1OkTx+K9OuLY6FCxjd0frtpkMytINMo0dafgav17Sil2HhxI5MOTSI4Mpg2Fdsw3Gs4pfKVynCu0zfu8sHvxzh86TY+1dz44vk6lC+q3w1qWlp0AcwGcmIBBIg5c4aQ6dO5+8dmHPLkoXDvXhTx9SVX0aLGNhQbBdvHmdYVzVscOkwC946GpL4ff58Ffy/gh79/AKC/R398PXxxzZWxR66JiYrF+y8yfsMp4hMTead1dfo/UYlcjna1qqGm2RVdALOBnFoAk0SfOk3Yd99xZ/16xNmZwt27U6R/f5xKFDe2oauHYdVQuPE31HoO2k2A/MYMQLl+7zqT/SezIWgDpfKW4h3vd2hToU2GH2dej7jPhyv+ZnPATTzKFOCrLnXxKFPQkD5qWnajC2A2kNMLYJKY8xcI++47ItasQRwdKfRCV4q+8gpOZcoY10hCHOyeBn9+bRoY8/SH4NnbkEEyAIeCDzH+4HgCwwPxKuHFB40+oGaRmhnKoZRi3fFgPl51gltRsQzwqcSwp6vjmlvPG9S05HQBzAZ0Afyv2MuXCft+DrdXrAClKPj8c7gNHEju8uWNayT0DKx6Ey7tAdfC4OULDQdAQeuXbUtITGDZ2WXMODyDiNgIulbryhv136CIS5EM5YmIiuPL9QH8cvAy5Yvk4csudXiiqg0GDGnaY0oXwGxAF0DL4q5dI2zeD9z+7TdUQgIFO3ag6Guv4Vw5cxPRH6AUBO2C/bPh1DpATO8GGw+C8k3BytGYETERzD46G79AP/I45WFIvSF0r9kdJ4eMTdDfey6MUcuPcyE0khe8yjK6vTuF82Z+aTZNyy50AcwGdAF8uLibNwmfv4Bbv/yCio4mf9s2uA0ahEuNGsY1cusiHJwLh3+E6AjT7vSNB4HHC+DkYlXqc7fP8fXBr9lzbQ9VClbh/Ubv06x0swzliI5LYMbWM3z353kKujrxcafaPFu3lJ4yoeVougBmA7oApk98eDjhC37k1uLFJEZGku/pp3EbPBhXj9rGNRIbCcd+hf3fQUgA5Clqejzq/QoUzPy7SKUU2y9vZ8KhCVy+e5lW5Vrxvvf7lCtQLkN5Aq7f4YPfj3H0SgRP1ijG553rUKaQMe8vNe1xowtgNqALYMYk3L5N+E+LCV+4kMQ7d8jf+hmKvfkmztWqGdeIUqZtl/Z/Z3o8Kg6mkaONX4NyjTP9eDQ2IZZFJxfx/bHviUuMo7d7b172eDlD7wcTEhUL9gQxadMpEpXiVZ/KvNayCvmcc2WqT5r2uNIFMBvQBTBzEu7dI3zBj4TPn09iVBQFnu1IsddfJ3eFCsY2dCsIDsyBw4sgJgJK1TM9Hq3dJdOPR0OiQph6eCqrz63GJZcL3Wt056XaL+Hmmv5BLlduRfH1hlOsOnoNt3y5eeuZ6vRoWA4nPXdQyyF0AcwGdAG0TvytW4TPm0f4T4tRcXEU6toVtyGDcSpZ0tiGYiPh6C+mu8LQU5DHDbz7Q6OBkC9zG+eejzjP3GNzWXthLU4OTrxY/UVe9niZ4nnSPwfy6OXbOOtZ4gAAIABJREFUfLEugAMXwqlcLC8ftK1J61ol9PtBLdvTBTAb0AXQGHE3bxL23ffc+vVXRITCPXtQdOBA41eWUcq0xNr+2XB6A+Rygfp9oOnrpnVHM+HinYvMOTaHNefX4CiOdK3elf4e/SmZN31FXCnF5oCbfLU+gHMhkTSqVIRR7d3xLGeD5eU0zU7oApgN6AJorLirVwn5f3v3Hh5Xdd57/PvOVaPb6GLdZdmSbMA2BhsTwBBkMAHbhNhA06SES0JyIClN2rQp6Wmf9vTyPO05yaEp5LSEkIQEUkgDIdQG3yBcbIMBX2IbbIyvki1LsnXXaDSjua7zxx7ZY1mSJSNb0uj9PM88W9p77TVr9Mzjn9fea639+ON0vfTfSFoaeffeS/5X78fuPQ8rqrTsh80/hA9+DfGodZ/wuj+D0vnnVF19dz0/+/BnrDy4EhHhjhl38LW5X6M0c3hPkY/G4vzX1noe/d1+Wv1hPnd5Kd9dcrE+d1ClJA3AFKABeH6Eamtp/X//jm/NGmzZ2eR/9X7y7r0XW0bG6L+Zr8nqEW57CkI+qFwEn/42VN14TgNmGv2N/OzDn/Hbg78FAytmrOBrc7/G1KzhjRr1h6I8ueEQT246TDwO9y2cxjcXzyAnXecPqtShAZgCNADPr959+2h57If433gDe14e+Q8+QO5dd2Fzn4fn7/V2wfZfwLuPg/+4NZ/wum/D7NvBPvJRmsd7jvPU7qd4cf+LxEyM26pu44HLHmBa9vAG+hzv6uUHr+3jhe3HyE5z8s0bZ3DftdNwO3RZNTXxaQCmAA3ACyO4axctjz1Gz+Z3cRQVMeWhh8i58w7EObKVWYYlGrLmE27+IbTuh5wKWPgtmH83uEbeA20ONPPz3T/nhf0vEIlH+GzlZ3ngsgeo9FYO6/yPj/v432s+ZsP+FspzPTy85GI+d1kpNpsOlFETlwZgCtAAvLB63t9Cy6OPEtyxA0dhIdnLlpK1dCmeyy9HbKM8hSAeh/1r4e1H4dgW8ORZo0avehAyRj44pzXYyi92/4Ln9z9Pb7SXW6bfwr2z7+XygsuHdf7bB1r5lzV7+ajJx+XlXv5q2SUsrMrXEaNqQppQASgiDwEPAyXAHuDbxphNQ5RfBPwAmAM0At83xjwxkjpFxA08AtwFeIDXgYeMMceSylQA/wEsBoLAc8BfGmPCw22LiPwD8Pf9PsIJY8xZh/FpAF54xhh6Nm6k44UX6Nm4CRMO4ygpIXvJErKXLiHt8stHPxSOvmcF4f614PDAFffCNQ9B3vB6ccnagm0889EzPL/vefwRP3OnzOVLs77EkmlLcNqH7tHG44aXdjTwyKv7aOrqZX5FDl+vqeaW2UXaI1QTyoQJQBH5IvCfwEPA24nt/cBsY8zRAcpXAruBp4DHgU8ntn9kjHlxuHWKyI+AFcCXgTasEMsBFhhjYiJiB3Ymjv0FkA88DbxojPnWCNryD8AfATckfYyYMablbH8bDcCxFfP78b/xBr616+h5+21MJIKjtITsJUvJXraUtLlzRzcMmz9OjBx9HuIRmH49XH6XNYLUnTmiqgKRACsPreS5vc9R56ujwFPAFy7+An940R+S7xm6h9kbifHC9mP8ZONhjrYHqJqSwYM1Vdw+v4w0p94jVOPfRArA94EPjDEPJO07APzGGPPXA5T/HnCnMWZm0r6fAnOMMQuHU6eIeIEW4H5jzLOJ41OBI8AyY8x6EVkGrAamGWPqE2XuAX4KFBpjfMNsyz8AnzfGXDrSv40G4PgR8/nofuMNuteuw795M0QiOMvKyFq6hOyly0i7dM7ohWFXA+x8FnY+Bx214Ey3QvDyu6xQHMHl2LiJ807DOzy791neaXwHp83JrZW3cvesu5mVP2vIc6OxOOv2HOeJDYfY3eCjIMvN/ddN5+6rp+H1nIf7o0qNkgkRgCLiAgLAXcaYF5L2/wdwqTFm0QDnbAQ+NMb8SdK+P8S6PJkOyNnqFJHFWJc8C5N7YiKyBysk/15E/gn4A2PMnKTjBUAzsNgY8+bZ2mKMiSQC8LtAJxAC3gf+xhhz+Gx/Hw3A8SnW1UX362/gW7+Onnc2QzSKs7z85D3DtNmzRycMjYH6960g3POSNY3COxUu+yLM+xLkV4+ousNdh3lu73OsOrSKYDTIFYVXcM/se7hx6o04bIOPRDXGsPlQG09sOMSmA61kuh186eoKvnpdJcXeT/ZEDKXOh4kSgKVAA7DIGLMxaf//Au42xpzxXBsR2Q/8pzHmn5L21QAbgFKsAByyThH5EvAM4DRJfxAReQM4YIz5uog8CcwwxixOOi5ABLjXGPOrs7XFGNOU6ElmAR8DhcDfApdg9RLbhvr7aACOf7HOTisM162j5913rTCsqCB72TK8yz+Hu3pkITWoSBA+Xg27fgWH3gATtxbfvvwumHMHeIa/sosv7OOlAy/xq49/RYO/gZKMEu665C7unHknXvfQiwLsbujiyY2HeeWDRuw2YcW8Mr5eU8XMoqxP+gmVGjUagOMkAAdofyZwGPg/xpgfDHD8QeBBgIqKigVHjhwZ6k+oxpFoRwf+11/Ht2YtPe+9B/E4aZdeinf5crI/e+voLb3ma7JWmNn1K2j5GOxuuOSzVq+w6sZhzyuMxWO8dewtnt37LFuPb8Xj8HBb1W3cPetuqnOGDu769gA/3XSYX2+rpzcS5zOzCvn6omo+NX1kT7dX6nyYKAGY8pdAB/ncbwIfG2P+eKi/j/YAJ65oSwtdq1fTtXIVob17wW4n8/rr8a5YTuaNN2JLG4VLh8ZA4w4rCD98AYIdkFkMl33BukxaNGfYq83sa9/Hcx8/xyuHXiEcD3N1ydWsqF7BTRU3ke4cfLm09p4wT2+u45l36+gIRFgwLZev11TxmVk6clSNnQkRgHBywMouY8yDSfv2Y422HGwQzB3GmIuS9j0JzO03CGbQOpMGwXzFGPNc4ng5cJQzB8FU9E2NSPQcn+L0QTBDtmWA9qcBtcCPknuOA9EATA29+/fjW7WKrpdfIXriBLbMTLKWLiFnxQo8CxaMzhzDaAj2r7fC8MCr1vqjORVw0VK4eBlM+zQ4zr7cWUdvB7/Z/xtePPAiDf4G0h3p3DztZpZXL+fK4iuxycBtDYSjvLDtGD/ZdJhjHUGqCjL48sLp3HlFGVlpOmBGXVgTKQC/CPwSa6rCO8A3gK9h3SM7IiLPABhj7kuU75t68BPgx8B1WFMP7uo3DWLQOhNlfgR8DvgKp6ZB5HLmNIgW4Ducmgbx2wGmQQzVlkeAl7HCtRD4O6AGKySHvL6pAZhaTCxGYMsWulauwvfqq5hAAGdpKdnLP4d3+QrcVSOf9zcgfwvsWw371llPp4gGwZUFMxbDRctg5i1nnWwfN3F2NO9g1aFVrK9bT0+kh5KMEm6ruo3l1cuZ7p0+4HnRWJzVHzbx1Nu17DrWRYbLzucXlHPvwunMKBzZVA6lztWECUA4OWn9u1iT1ncDf953/05E3gIwxtyQVH4R8G+cmnz+vUEmwg9YZ+J430T4L3H6RPj6pDIVWIHWNxH+WeBhY0xouG0Rkf/CCrwpWGH6HvB3xpiPzvZ30QBMXfFAgO7XX6dr5Sp6Nm+27hfOnYt3xQrrfmFu7ui8UThgPcF+/1orEP3HrafYT736VO9wykVDXioNRoO8efRNVh1exbuN7xI3cS4ruIzlVctZWrl00IEzO+s7eXpzHas/aCIci3P9zCl8eeF0brykELteHlXn0YQKQDUwDcDJIdLcjG/1GrpWJe4XOhxkXLuQzEWLyKypwTV1eE96OKt4HJp2Ws8q3LcWjn9g7c+ttILw4mVQsRCGWDGmJdDC6sOrWXloJQc7D+K0Oblh6g0sr17OdWXX4bSdeW5Ld4j/2nKUZ98/ynFfL1PzPNx7zTS+cOVUfQqFOi80AFOABuDk07tvP12rVtL92u+IHLUWQnJNn07mohoyrq8h/VNXjt7TKrqOJcJwndVLjIXA7YWZn7Euk1ZcAznTBuwdGmP4uP1jVh1axZraNbT3tpOXlseyymUsr17OrLxZZ8yFjMTivLrnBE+/W8eW2nbSnDZun1fGfQunM7s0e3Q+k1JoAKYEDcDJLVxXh3/jJvybNhHYsgUTCiEeDxlXXUVGzfWj2zsM+a37hfvXWoNpehKDozOLrMulU6+2ArH4sjMG00TiETY3bGbloZW8Vf8WkXiEam81yyqXsaxyGRXZFWe83UeNPn75Xh0v7WigNxLnqul53HftNJbMKcZpH+WFx9WkowGYAjQAVZ94MEhgyxYrEDduJFJv3ap2VVaSWXP96PYO43Fo/gjq34P6LdZi3Z2J8VqONCi9AiquPhWM6afm/nWFulhft57Vh1fz++bfA3Bp/qUsrVzK0ulLKcooOu2tOgNhXth2jGfeq6O+PUhRtpu7r57GXVdVUJB1Hp7LqCYFDcAUoAGoBmKMIVxXR8+mTfg3JnqH4fCp3uGiGjKvuw5nRcXorU/afdxalu3o+9a2aZe1YDdA/sykQLwGpswEEZr8TayvW8+a2jXsbd+LIFxRdAW3Vt7KzdNuJjft1ECfWNzw1r5mfrG5jk0HWnHYhJqLCrh9fhk3zyrC49JFuNXwaQCmAA1ANRzxYJCe99+nJ3G5tK93aM/PxzN/Hunz5+OZP5+0OXNG7/5hJGhNwj+a6CXWvw/BduuYJxfKr4LyK6FsAZRdQV24i7V1a1lbu5barlrsYuea0mu4tfJWFk9dTKbr1BSJQy1+nt9Wz8odjRz39ZLhsrP00hLumF/Gwup8HUGqzkoDMAVoAKqRMsYQrq0jsGULwR07COzcQeRI4qliTiee2bPxJALRM28ezqLC0XpjaD1gBWH9e1C/1XriPYl/b/JnQNmVmLIF7PcWsqb7IOuOvEZjTyMum4ua8hqWVS6jpryGNIe1Sk48bnivto3/3tHA2g+P0x2KUpjlZsW8Um6fX8bskmx9YK8akAZgCtAAVKMh2tZGcOdOKxB37KT3ww8xYeuZzs6yMjzz5iVCcR5pF1+MOIa3luhZ9XZZvcRj26Bhu7XtabaO2d2YkrnsKpzBOkeUdb79tIU6SXeks7hiMUumL+GakmtOhmFvJMbre5t5aUcDG/Y3E4kZLirK5Pb5Zdw+r4zSHM/otFmlBA3AFKABqM4HEw7Tu3cvgR07CO6wgjHabAWTpKfjmTsXz2Vzcc+ciau6GndVFTbPKASMMdbUi4ZtiVD8vRWQ0SAxYGtOAevyinlNgvjiYdLsbq4uuZqa8kUsKl90cgBNR0+YVz5s4r93NLD9SAcAV1fmccf8MpbNLdFnFSoNwFSgAaguBGMM0aam0wKxd98+iEatAiI4y8txV1fjnjnDCsXqGbirq7ClD75Q9rDEotaI04a+XuJ2Ii0fs9XjZoPHw4aMDBoc1rSIWWmF1BRdxaKZK5hTehU2sXG0LcDKnQ28tKOBw609uBw2brqkkBXzSrl+ZgEZ7lHqzaoJRQMwBWgAqrFiIhHCR44QOniI0KGDhA4eJHzwEKG6OoicesiJs6wM94wZuGYkQnHmDKvHmJFx7m/e64PjH0LzR5jjuznc8gEbeo6ywW1jp9tNXIT8ONTYc1iUN5trymtIL5nPh6ECXtrVzMu7Gmn1h3HZbVxTnc/iiwu4aVYRU/M+YVirCUMDMAVoAKrxxkQihOvrCR04SOjQQcIHDxI6eIhwbS0mKRgdpSW4K6twVVXhqpyOu6oKV2UVjsKCcxu4Ygx0HqWzYStvH32Dje17eDvaTreA0xg+FeylpjfCIk8ZpQVzqHdMZ2t3LmsaM3inPZsQLmYWZrJ4ViGLLy5kwbRcHDrhPmVpAKYADUA1UZholPDR+jNCMVRXhwkETpazZWTgqqzEVVWJu7ISV2UVrqpKXNOmjXiKRiQeYWfTVjYeXMWGpveoDbUBUB011Pi7ubK3lyt6Q2QY6Ekrps4UsyuQz+F4Mc3Ocgor53D53MuouaRU1yRNMRqAKUADUE10xhiiJ04QPnyYUG0t4cO1hGsPE6qtI9rUdKpg4j6jq6oS9/RKXJXTcZaV4ywrw1lWOqxwPOo7yoZjG9hwbAPbT2wnGo9iQ5jlyuVTxs2VgR7mtx0jO9h58pyosXGMAtrdU3EUzKS4cjYF0+cgeVXgLR9yYXA1fmkApgANQJXK4j09hOrqCNfWJQLysPVzbS0mFDqtrKOgIBGGSa/yMlxlZThKS7G5Tu/BBaNBPmj5gG0ntrH1+FY+aPmASDyCTWxc7J3Bp7Kms8CWzdSOHuLHDmHvrKU42kCm9J6sw2AjnlWKPW+atSh4TsWpV+40yCoFuw6yGY80AFOABqCajEw8TvTECSINDUQaGggntpFjiW1TE8Rip53jKCw8LRidJaU4igpxFhbiKCoikuVhd/seth7fyrYT29jVvItwPIwgXJx3MVcWXcmMrMvoPZ7OsX2H6G7cR0H8BOXSwgxnO9NsLXijrQhJ/36KHbxliXDsF5A5UyGrRHuQY0QDMAVoACp1JhONEm1uPhWOfcHY9zp+/IyAxOGwepGFhTgKC5GCfFoz4hxydrCbRrbFDnM8PUyvW5iZdxHzC68gx1ZNT3cxB46ls/1IJ/5AkBJpY256J9dO6WFuRhfT7K1k9zYhnUehuwlOC0ib9TSN7FLILrNe3rLE7+XWNqtEe5HngQZgCtAAVGrk+gIy2txMpLmZaHML0RMnrH0tiX0nmol3d59xbsztwJft4IQnQkd6nK50CGS5SC8sxT2lgt60aTRGp7KlLYejAWs0q9fj5FPTc7m6IpPrpgS5KK0Dh68efI3ga4CuhlM/h/2nv+HJkEwEozcRjH3hmFlkbV06hWMkNABTgAagUudPPBAg2tJiBeWJ5pOh2RecweYmYu3t2P3BAc8Pu2wEstLxp2fRasuhUbLpdGfhT/eSW1ZIYXkxU6tKqK4up7q6FKfbBSHf6YHY9xoqJMF6UHFWEWQVQ2axte17Jf/u+gTzL1OIBmAK0ABUauyZcJhoezu9LSdoOLKbhvq9tDYcpKe5gXhbO1k9Bm+PITcgZAYMtkH+iQ2404lmerHl5JBWkI+3pIC0/DzsubnYc/Ow5+bgyMnFnunEbg9ii/sQ/wnwH7ceR9XdBN0nrK3/BER7z3wTd3ai11gMmYXWzxkF/X4ugowpKX1/UgMwBWgAKjW+hWNhDnQcYE/bHuvV/CHNTYfI9MfIDhpygnaKQ168gXTSfA6cnYb0nhjZvRG8oQDecA/OeHTgyu127F4v9pycU9uTP3uxZ7ixu+LYnRHs9iB28WM3ndhCrVZg9jSDvwXCZ17qBcCTZ4VhZl8oFp7+c8YU65U+BZxp5++PeB5oAKYADUClJp5gNMjBjoMc7jpsvTqt7TH/MeImDoBgI8teiD1aRKwjB1rSyerOIMvvolzizHBFKbaFmRLvJTscID3Ug8PvI97VRayrCxMc+LIsgLjdVkgmXrasDOzpLuxpduxusDkj2B0R7LYe7Pixx7uwx9uwhVuQWGDgSl1ZpwIxowDS863tab/3/TwFHGO7sIAGYArQAFQqdYRiIeq66k4G46HOQ9R21VLnqyOa1AtMIx8TKSAY8BIJ5RCP5BKP5GKP5VGeXUjllCyqsp3MSItR4YxQImFyY72Yrk5inV3EujqJdXYS9/ms330+Yl3WNnlVnjOIYMvMxJ6VgT0jDZvHYYWmy2BzxrHbw9jtvdgkgN34rN6mI4LdZbA744g9qS63F9JzrV5met6Z24H2OdNhlJ7vqAGYAjQAlUp9kXiEY93HTvYUD3Udoq6rjsaeRjp6O04rKziwxfKIhLxEQ7mYiBWQ9ng+pZmlVOWWUDUlk2n5GZR40yjKTqPYm0ZeugubTYiHw1Yvsi8UE68zwrKrk7ivm1h3NzFfF3Ff9xmLE/QnLif2DDe2NAd2t2Bzgd0Zw2aPYLeHsEkQmwSxOw02V9zaOk9tbWkuJCM/EYq5cMcT1qjYczBYAOqEE6WUGkecNieV3koqvZXcxE2nHQtEAjT1NNHgb6DJ30RDTwON/kYa/A0c6z5IZ6j9ZNlWoNU4eK/RS/xIDiaahYlmYqJZ2OLZeN15FHjyKc0qpDy7gNKcHIrziymutIKyKDsNl2PwBcLjoZAVlIlXvLubWJePWLcvsf9UWMZ8PmLd3YT93cS7/cS7o5iIGxhiSTsBm9uBzd2N3dnN1Os6cJ5jAA5mXAagiDwEPAyUAHuAbxtjNg1RfhHwA2AO0Ah83xjzxEjqFBE38AhwF+ABXgceMsYcSypTAfwHsBgIAs8Bf2mMCY9mW5RSaiDpznSqc6qpzqke8HgwGqTJ30RjT+PJYGzobqS+u4HWQDMdob1EjNVzCwBHgCNRMG2Cac44LSTj0SzS7V5y3Pnke/LI9+QwJT2XwowcijK85GWmkZfhIjeriLziqXg9Tuy24V+yPBmg3X7ifqt3GT/5s594d+JYdzcxfzcyZXTDD8ZhAIrIF4HHgIeAtxPbtSIy2xhzdIDylcAa4CngHuDTwOMi0mKMeXEEdT4KrMAKwDasEHtFRBYYY2IiYgdWJ45dD+QDTwMCfGuU26KUUiPmcXioyqmiKqdqwOPGGALRAG3BNlqDrbQGW2nrbaM10EqTv4UmfwvNgRY6w/X4Ix3EiNKG9Y8evYlXOxgjEPNg4h5MLPGKe3BJBmn2TDIcWWS5sslxZ5OXlkNeeg65aZnkejLJ82SR68kg2+Miy51BRmE2mRUOPA77gG0+n8bdPUAReR/4wBjzQNK+A8BvjDF/PUD57wF3GmNmJu37KTDHGLNwOHWKiBdoAe43xjybOD4V6z9Iy4wx60VkGVYATjPG1CfK3AP8FCg0xvhGoy1D/W30HqBS6kIxxuAL+2jrbaMt2IYv7MMX8tEW7KK5p4O2QCftvZ10hXz4wz56on56434ipgdD7Oz1x12YuAvibkzchcTd2CUNh6ThlDTcdg9pdg8eRzrpDg//fPP9VOUXnNNnmRD3AEXEBSzAuhSZ7FXg2kFOW5g4nmw98GURcWL10M5W5wLAmVyPMaZeRPYmyqxPvM/evvBLeh934vw3R6ktSik15kQEr9uL1+2lyjtwj3IgxhiC0SBdoS58YR9doS7agl20B7rp7PXTFerBF+qhO+THHwkQiAQIRgP0xoKEYkHCxkc03ksvvXTQC7E4xMAX/jxwbgE4mHEVgMAUwA6c6Lf/BPCZQc4pBn43QHlHoj4ZRp3FQAzrvnH/MsVJZfrX0Zo4L7nMJ23LaUTkQeBBgIqKioGKKKXUuCEipDvTSXemU0LJJ64vEosQiAbIdGaOQutON/gQHzUuGGOeNMZcaYy5sqBgdP/3o5RS453T7sTr9mK3jf49wvEWgH09qqJ++4uA44Occ3yQ8tFEfcOp8zhWz2zKWcr0r6OvxzpUmZG2RSml1AUwrgIwMZ1gO3Bzv0M3A5sHOe3dQcpvM8ZEhlnndiCSXEZEyoFZSWXeBWYl9ifXEUqcP1ptUUopdQGMt3uAYE0/+KWIbAHeAb4BlAJPAIjIMwDGmPsS5Z8AvikijwI/Bq4DvoI1nWFYdRpjukTkZ8D3RaSZU9MgPuDUPb1XsebsPSMi38GaBvF/gZ8YY3yj1RallFIXxrgLQGPMr0UkH/hbrIniu4FbjTFHEkUq+pWvFZFbgX8D/hhr8vmf9s27G2adAN/GulT5a05NhL/PGBNL1BETkc8Cj2MFVxB4FmtC+2i3RSml1Hk27uYBqsHpPECllBq5weYBjqt7gEoppdSFogGolFJqUtJLoBOIiLRgLc82EC/QNcTpUzhzon8qONvnnqjvPRp1n2sdIz1vJOWHU1a/y6n1/mP5Xe47N8cYc+ZEamOMvlLgBTx5luPbxrqNY/G5J+p7j0bd51rHSM8bSfnhlNXvcmq9/1h+l892rl4CTR0vj3UDxshYfu7z+d6jUfe51jHS80ZSfjhl9bucWu8/lt/lIc/VS6CThIhsMwOMglJqotHvshot2gOcPJ4c6wYoNUr0u6xGhfYAlVJKTUraA1RKKTUpaQAqpZSalDQAlVJKTUoagOoMIvKSiHSIyG/Gui1KDZeI3CYi+0TkgIj8j7Fujxr/dBCMOoOI3ABkAV82xnx+jJuj1FmJiAP4CLgRa8WQ7cC1xpi2MW2YGte0B6jOYIx5C+ge63YoNQJXAXuMMQ3GGD+wFrhljNukxjkNwAlERGpEZJWINIiIEZGvDFDmIRGpFZFeEdkuItePQVOVGpFR+G6XAg1JvzcAZee52WqC0wCcWDKxHqD7Z1gP5D2NiHwReAz4F2A+sBlYKyIVSWV2isjuAV6lF+YjKDWgT/zdVmqkxt0T4dXgjDFrgDUAIvKLAYr8BfALY8xPEr9/S0SWYj2d/q8Tdcy7AE1VakRG4bvdyOk9vjJgy3lrsEoJ2gNMESLiAhYAr/Y79Cpw7YVvkVKjY5jf7S3ApSJSJiKZwDJg/YVrpZqINABTxxTADpzot/8EUDySikTkd8ALwK0ickxEFo5OE5U6J2f9bhtjosB3gDeBncC/6ghQdTZ6CVSdwRjzmbFug1IjZYxZBawa63aoiUN7gKmjFYgBRf32FwHHL3xzlBo1+t1W54UGYIowxoSxJv/e3O/QzVgj5pSakPS7rc4XvQQ6gSRu7s9I/GoDKkRkHtBujDkK/AD4pYhsAd4BvoE1P+qJsWivUsOl3201FnQptAkksUTZmwMcetoY85VEmYeA7wIlWPOq/twYs/FCtVGpc6HfbTUWNACVUkpNSnoPUCml1KSkAaiUUmpS0gBUSik1KWkAKqWUmpQ0AJVSSk1KGoBKKaUmJQ1ApZRSk5IGoFJKqUlJA1AppdSkpAGoVIoSkSUi8paI+EWkRUT+XUTShnnupSISFZH+C1APVr5ORN76RA0eJhFZISJhEZl5Id5PpS4NQKVSkIh8B1gHNAF2lO+lAAAEp0lEQVR/DrwM/Anw2DCr+AHwjjHmtfPTwnNnjFkJfAh8b6zboiY2XQtUqRQjIp8BXgW+a4x5JGn/OuBGoMAY4xvi/IVYjxm6PRE2w3nPOqDOGHPDJ2j6sInIfcDTwKXGmD0X4j1V6tEeoFIpRERsWL28HcC/9jv8FuACLj1LNQ9hPYR2zWi3bxT9FghgPRZJqXOiAahUalkCzAZ+aM68vBNObL2DnSwiDuB24HfGmMgAx6eKyPMi0iUiPhF5WUSqh6jPLSJ/IyJ7RKRXRDoT58wfoOx0EXkxUa9PRFaKSOVA9xeNMX5gE/D5wd5bqbPRB+IqlVq+CMSATSIypd+xosS2e4jzFwCZwJb+B0QkB9gITMV6EO1HwCKs5/h5BijvxLoPeS3wS+DfscL3AeAdEakxxmxLlM3HCrSiRN17gesTdWcM0tZ3gSUicokx5uMhPpNSA9IAVCq13AjYgUNDlDk8xLHZie1A538XmA581Rjz88S+x0XkUeDPBij/TeAGYKkxZn3fThF5HOuBto8kjgP8FVAO3GOMeTax70ci8n3g4UHa2tfGOYAGoBoxvQSqVIpI9PgqgJeAmwd4dQDHjTGNQ1RTkNi2D3DsduAE8Ey//YONxrwHK5i2i8iUvhfWfcjXgE+LSF/P8XNYI1Z/1a+ORxhcW2JbOEQZpQalPUClUkdVYrvVGPO75AMiUgnkAs+dpY6++4YySP1bjTGx004wpklEOgcoPwvr0mjLEO83BagHKoEtxph4v7qbB6k7uY06lF2dEw1ApVJHZmI70D2+vsEivz5LHX1hlTcK7RGs+Xp/MYz3Oxd9bfwkdahJTANQqdTRN7cvO3mniLiAPwb2AavPUsfuxHagVVYOAzNFxJ7cCxSREiBngPIHsC6pvtG/ZzeAOmCGiNiSy4pI4SB1A8zo12alRkTvASqVOj7Cmhu3pN/+f8YavPKn/S9fDmAHVpBeM8CxlVijNO/rt/+vBqnrGaCYQXqAIlKU9OvLQAlwV79ifzlEW68BThhj9g1RRqlB6UowSqUQEXkM+FPgWWADsAy4A3g4eVWYs9Txc6wBL8XGmFDS/lxgJ1CGNVVhD9YozoVY9/r2JK8Ek5gG8QpwC7AWeAMrXCuAm4BeY8yNibJTgF1YPcYfYQ2euR5rCkUGsLuvbKJ8JtaAnKeMMd8a7t9HqWR6CVSp1PIw1qCQu7GCbzuwzBizbgR1/Aj4CnAb8GLfTmNMh4hcj7VOaF8vcAPW1IvX+1dijImIyGexVpa5F/jHxKFGrHmGTyeVbRWRT2OtXvPVxGd4M1H3ViDYr/o/ANKBH4/gcyl1Gu0BKqXOkFg3NMMYc/0YtyMfa1m2HxtjvpG0//dYa4/eOWaNUxOe3gNUSg3kO8BCEbnlQr1h0pzAZP8zsX0tqdztWOuZDnbvUalh0R6gUmpcEJE3gSPA77H+c34T1mXYzUDNMAbwKDUiGoBKqXEh8QzD+7BGrHqAY1hPffhHY8xQ65cqdU40AJVSSk1Keg9QKaXUpKQBqJRSalLSAFRKKTUpaQAqpZSalDQAlVJKTUoagEoppSYlDUCllFKTkgagUkqpSen/AxjOB7z635V/AAAAAElFTkSuQmCC\n", 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" ] From 8ab1b4b19f6cc4de8c0b87f5c086cab57a332b44 Mon Sep 17 00:00:00 2001 From: Jonathan Blazek Date: Fri, 24 Apr 2020 10:47:40 +0200 Subject: [PATCH 5/8] minor notebook updates --- PerturbationTheoryPk.ipynb | 82 +++++++++++++++++++++++++++++++++++++- 1 file changed, 80 insertions(+), 2 deletions(-) diff --git a/PerturbationTheoryPk.ipynb b/PerturbationTheoryPk.ipynb index c55ecde..b0ada3d 100644 --- a/PerturbationTheoryPk.ipynb +++ b/PerturbationTheoryPk.ipynb @@ -430,6 +430,84 @@ "plt.show()" ] }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "\u001b[0;31mInit signature:\u001b[0m \u001b[0mccl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mWeakLensingTracer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcosmo\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdndz\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhas_shear\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mia_bias\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0muse_A_ia\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mSource:\u001b[0m \n", + "\u001b[0;32mclass\u001b[0m \u001b[0mWeakLensingTracer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mTracer\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0;34m\"\"\"Specific `Tracer` associated to galaxy shape distortions including\u001b[0m\n", + "\u001b[0;34m lensing shear and intrinsic alignments within the L-NLA model.\u001b[0m\n", + "\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m Args:\u001b[0m\n", + "\u001b[0;34m cosmo (:class:`~pyccl.core.Cosmology`): Cosmology object.\u001b[0m\n", + "\u001b[0;34m dndz (tuple of arrays): A tuple of arrays (z, N(z))\u001b[0m\n", + "\u001b[0;34m giving the redshift distribution of the objects. The units are\u001b[0m\n", + "\u001b[0;34m arbitrary; N(z) will be normalized to unity.\u001b[0m\n", + "\u001b[0;34m has_shear (bool): set to `False` if you want to omit the lensing shear\u001b[0m\n", + "\u001b[0;34m contribution from this tracer.\u001b[0m\n", + "\u001b[0;34m ia_bias (tuple of arrays, optional): A tuple of arrays\u001b[0m\n", + "\u001b[0;34m (z, A_IA(z)) giving the intrinsic alignment amplitude A_IA(z).\u001b[0m\n", + "\u001b[0;34m If `None`, the tracer is assumped to not have intrinsic\u001b[0m\n", + "\u001b[0;34m alignments. Defaults to None.\u001b[0m\n", + "\u001b[0;34m use_A_ia (bool): set to True to use the conventional IA\u001b[0m\n", + "\u001b[0;34m normalization. Set to False to use the raw input amplitude,\u001b[0m\n", + "\u001b[0;34m which will usually be 1 for use with PT IA modeling.\u001b[0m\n", + "\u001b[0;34m Defaults to True.\u001b[0m\n", + "\u001b[0;34m \"\"\"\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__init__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcosmo\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdndz\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhas_shear\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mia_bias\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0muse_A_ia\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_trc\u001b[0m \u001b[0;34m=\u001b[0m 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"\u001b[0;34m\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0madd_tracer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcosmo\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkernel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mkernel_l\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mder_bessel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mder_angles\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mia_bias\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;31m# Has intrinsic alignments\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mz_a\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtmp_a\u001b[0m \u001b[0;34m=\u001b[0m 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(2011), arXiv: 1008.3491, Eq. 6.\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0;31m# and note that we use C_1= 5e-14 from arXiv:0705.0166\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mrho_m\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlib\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcvar\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconstants\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mRHO_CRITICAL\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mcosmo\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'Omega_m'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0ma\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mtmp_a\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0;36m5e-14\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mrho_m\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0mD\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0;31m# use the raw input normalization. Normally, this will be 1\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0;31m# to allow nonlinear PT IA models, where normalization is\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0;31m# already applied to the power spectrum.\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0ma\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtmp_a\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0;31m# Reverse order for increasing a\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mt_a\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0;36m1.\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0mz_a\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ma\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0madd_tracer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcosmo\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkernel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mkernel_i\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtransfer_a\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mt_a\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", + "\u001b[0;34m\u001b[0m \u001b[0mder_bessel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mder_angles\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mFile:\u001b[0m ~/Packages/CCL/pyccl/tracers.py\n", + "\u001b[0;31mType:\u001b[0m type\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, { "cell_type": "code", "execution_count": null, @@ -440,7 +518,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python [default]", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -454,7 +532,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.7" + "version": "3.6.10" } }, "nbformat": 4, From 1dd307ce475a9a1b259b64f2b834a2111bf690e0 Mon Sep 17 00:00:00 2001 From: Jonathan Blazek Date: Wed, 13 May 2020 13:11:26 +0200 Subject: [PATCH 6/8] changes to explore CCL internal extrapolation issues --- PerturbationTheoryPk.ipynb | 208 +++++++++++++++++-------------------- 1 file changed, 93 insertions(+), 115 deletions(-) diff --git a/PerturbationTheoryPk.ipynb b/PerturbationTheoryPk.ipynb index b0ada3d..ee13b67 100644 --- a/PerturbationTheoryPk.ipynb +++ b/PerturbationTheoryPk.ipynb @@ -12,7 +12,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -41,7 +41,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -59,7 +59,8 @@ "a_d = 0.5\n", "\n", "# Define a redshift range and associated growth factor:\n", - "z = np.linspace(0,2,256)\n", + "#z = np.linspace(0,1,128)\n", + "z = np.linspace(0,8,1024)\n", "#z = np.linspace(0, 1.5, 1024)\n", "gz = ccl.growth_factor(cosmo, 1./(1+z))\n", "\n", @@ -84,12 +85,12 @@ "metadata": {}, "source": [ "## PT tracers\n", - "Power spectra are Fourier-space correlations between two quantities. In CCL the quantities you want to correlate are defined in terms of so-called `PTTracers`. Here we create three of them, one for number counts (galaxy clustering), one for intrinsic alignments and one for matter." + "Power spectra are Fourier-space correlations between two quantities. In CCL the quantities you want to correlate are defined in terms of so-called `PTTracers`. Here we create three of them, one for number counts (galaxy clustering), one for intrinsic alignments, and one for matter." ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -113,12 +114,12 @@ "metadata": {}, "source": [ "## PT calculator\n", - "Another object, `PTWorkspace` takes care of initializing FastPT (essentially precomputing some of the stuff it needs to get you PT power spectra). You'll need one of these before you can compute P(k)s." + "Another object, `PTCalculator` takes care of initializing FastPT (essentially precomputing some of the stuff it needs to get you PT power spectra). You'll need one of these before you can compute P(k)s." ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -138,7 +139,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -179,17 +180,19 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -225,17 +228,19 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -265,13 +270,14 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "z = np.linspace(0, 1.5, 1024)\n", "# nz = np.exp(-((z-0.7)/0.1)**2) # original\n", - "nz = np.exp(-((z-0.7)/1.0)**2) #wider distribution, for testing\n", + "# nz = np.exp(-((z-0.7)/1.0)**2) #wider distribution, for testing\n", + "nz = np.exp(-((z-0.0)/0.1)**2) # change end points, for testing\n", "\n", "# Number counts\n", "# We give this a bias of 1, since we've taken care of galaxy bias at the P(k) level.\n", @@ -287,6 +293,28 @@ "t_i_nla = ccl.WeakLensingTracer(cosmo, dndz=(z, nz), has_shear=False, ia_bias=(z, np.ones_like(z)), use_A_ia=True)\n" ] }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "## For testing, let's also try directly making NLA with P_NL, without going through the nl_pt:\n", + "gzz = ccl.growth_factor(cosmo, 1./(1+z))\n", + "c_1_t = -1*a_1*5e-14*rho_crit*cosmo['Omega_m']/gzz\n", + "t_i_nla_alt = ccl.WeakLensingTracer(cosmo, dndz=(z, nz), has_shear=False, ia_bias=(z,c_1_t) , use_A_ia=False)\n", + "sf = (1./(1+z))[::-1]\n", + "log10k_min=-4\n", + "log10k_max=2\n", + "nk_per_decade=20\n", + "nk_total = int((log10k_max - log10k_min) * nk_per_decade)\n", + "ks = np.logspace(log10k_min, log10k_max, nk_total)\n", + "lpk_array = np.log(np.array([ccl.nonlin_matter_power(cosmo,ks,a) for a in sf]))\n", + "\n", + "# Create a Pk2D object\n", + "pk_nl = ccl.Pk2D(a_arr=sf, lk_arr=np.log(ks), pk_arr=lpk_array, is_logp=True)" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -296,7 +324,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ @@ -310,7 +338,9 @@ "cls['GI,NLA'] = ccl.angular_cl(cosmo, t_l, t_i_nla, ell)\n", "cls['II'] = ccl.angular_cl(cosmo, t_i, t_i, ell, p_of_k_a=pk_ii)\n", "cls['II,NLA'] = ccl.angular_cl(cosmo, t_i, t_i, ell, p_of_k_a=pk_ii_nla)\n", - "cls['II,NLA orig'] = ccl.angular_cl(cosmo, t_i_nla, t_i_nla, ell)" + "cls['II,NLA orig'] = ccl.angular_cl(cosmo, t_i_nla, t_i_nla, ell)\n", + "cls['II,NLA alt'] = ccl.angular_cl(cosmo, t_i_nla_alt, t_i_nla_alt, ell, p_of_k_a=pk_nl)\n", + "#cls['II,NLA alt'] = ccl.angular_cl(cosmo, t_i_nla_alt, t_i_nla_alt, ell)" ] }, { @@ -322,37 +352,53 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 16, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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0.70082886 0.68288055 0.66361131\n", + " 0.64298441 0.62041975 0.59640136 0.57033272 0.54158277 0.51063428\n", + " 0.47742288 0.44129014]\n", + "[1.00000968 1.00001159 1.0000112 1.0000141 1.00001276 1.00001234\n", + " 1.00001258 1.00001113 1.00000966 1.00000889 1.00000931 1.00000039\n", + " 1.00000796 1.00001166 1.00000648 1.00000617 1.00000577 1.00000529\n", + " 1.00000441 1.00000429 1.00000471 1.00000434 1.00000317 1.00000515\n", + " 1.00000601 1.00000588 1.00000552 1.0000029 1.00000377 1.00000342\n", + " 1.00000354 0.99952414 1.00000344 1.00000347 1.00000313 1.0000031\n", + " 1.00000149 1.00000295 1.00000162 1.00000274 1.00013094 1.00000238\n", + " 1.0000035 1.00004945 0.99997858 1.00000329 0.99999623 1.00001562\n", + " 0.99998933 1.00000113 1.0000047 0.99999807 0.99999919 1.00000074\n", + " 0.99999923 0.99999997 0.99999975 0.99999979 0.99999996 0.99999978\n", + " 0.99999994 0.99999989 0.99999984 0.99999999 0.99999982 0.99999999\n", + " 0.99999985 0.99999996 0.99999996 0.99999999 1.00000002 1.00000001\n", + " 1.00000001 1.00000003 0.99999999 1.00000001 0.99999997 0.99999997\n", + " 1.00000002 1.00000004]\n" ] } ], @@ -368,7 +414,8 @@ "plt.xlabel(r'$\\ell$', fontsize=15)\n", "plt.ylabel(r'$C_\\ell$', fontsize=15)\n", "plt.show()\n", - "print(cls['II,NLA']/cls['II,NLA orig'])" + "print(cls['II,NLA']/cls['II,NLA orig'])\n", + "print(cls['II,NLA alt']/cls['II,NLA orig'])" ] }, { @@ -380,7 +427,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -400,17 +447,19 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -432,80 +481,9 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "\u001b[0;31mInit signature:\u001b[0m \u001b[0mccl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mWeakLensingTracer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcosmo\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdndz\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhas_shear\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mia_bias\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0muse_A_ia\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mSource:\u001b[0m \n", - "\u001b[0;32mclass\u001b[0m \u001b[0mWeakLensingTracer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mTracer\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0;34m\"\"\"Specific `Tracer` associated to galaxy shape distortions including\u001b[0m\n", - "\u001b[0;34m lensing shear and intrinsic alignments within the L-NLA model.\u001b[0m\n", - "\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m Args:\u001b[0m\n", - "\u001b[0;34m cosmo (:class:`~pyccl.core.Cosmology`): Cosmology object.\u001b[0m\n", - "\u001b[0;34m dndz (tuple of arrays): A tuple of arrays (z, N(z))\u001b[0m\n", - "\u001b[0;34m giving the redshift distribution of the objects. The units are\u001b[0m\n", - "\u001b[0;34m arbitrary; N(z) will be normalized to unity.\u001b[0m\n", - "\u001b[0;34m has_shear (bool): set to `False` if you want to omit the lensing shear\u001b[0m\n", - "\u001b[0;34m contribution from this tracer.\u001b[0m\n", - "\u001b[0;34m ia_bias (tuple of arrays, optional): A tuple of arrays\u001b[0m\n", - "\u001b[0;34m (z, A_IA(z)) giving the intrinsic alignment amplitude A_IA(z).\u001b[0m\n", - "\u001b[0;34m If `None`, the tracer is assumped to not have intrinsic\u001b[0m\n", - "\u001b[0;34m alignments. Defaults to None.\u001b[0m\n", - "\u001b[0;34m use_A_ia (bool): set to True to use the conventional IA\u001b[0m\n", - "\u001b[0;34m normalization. Set to False to use the raw input amplitude,\u001b[0m\n", - "\u001b[0;34m which will usually be 1 for use with PT IA modeling.\u001b[0m\n", - "\u001b[0;34m Defaults to True.\u001b[0m\n", - "\u001b[0;34m \"\"\"\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__init__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcosmo\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdndz\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhas_shear\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mia_bias\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0muse_A_ia\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_trc\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0;31m# we need the distance functions at the C layer\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0mcosmo\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcompute_distances\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mscipy\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minterpolate\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0minterp1d\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0mz_n\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mn\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_check_array_params\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdndz\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_dndz\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0minterp1d\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mz_n\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mn\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbounds_error\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0mfill_value\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mhas_shear\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0;31m# Kernel\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0mkernel_l\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mget_lensing_kernel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcosmo\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdndz\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0madd_tracer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcosmo\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkernel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mkernel_l\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0mder_bessel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mder_angles\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mia_bias\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;31m# Has intrinsic alignments\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0mz_a\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtmp_a\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_check_array_params\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mia_bias\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0;31m# Kernel\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0mkernel_i\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mget_density_kernel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcosmo\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdndz\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0muse_A_ia\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0;31m# Normalize so that A_IA=1\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0mD\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mgrowth_factor\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcosmo\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1.\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0mz_a\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0;31m# Transfer\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0;31m# See Joachimi et al. (2011), arXiv: 1008.3491, Eq. 6.\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0;31m# and note that we use C_1= 5e-14 from arXiv:0705.0166\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0mrho_m\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlib\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcvar\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconstants\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mRHO_CRITICAL\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mcosmo\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'Omega_m'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0ma\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mtmp_a\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0;36m5e-14\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mrho_m\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0mD\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0;31m# use the raw input normalization. Normally, this will be 1\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0;31m# to allow nonlinear PT IA models, where normalization is\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0;31m# already applied to the power spectrum.\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0ma\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtmp_a\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0;31m# Reverse order for increasing a\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0mt_a\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0;36m1.\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0mz_a\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ma\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0madd_tracer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcosmo\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkernel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mkernel_i\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtransfer_a\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mt_a\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", - "\u001b[0;34m\u001b[0m \u001b[0mder_bessel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mder_angles\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mFile:\u001b[0m ~/Packages/CCL/pyccl/tracers.py\n", - "\u001b[0;31mType:\u001b[0m type\n" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [] }, { @@ -518,9 +496,9 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python [conda env:ccl] *", "language": "python", - "name": "python3" + "name": "conda-env-ccl-py" }, "language_info": { "codemirror_mode": { From 2ecec39cf98190ff603e62bef07d8bbef7aa3ed2 Mon Sep 17 00:00:00 2001 From: Jonathan Blazek Date: Wed, 13 May 2020 14:32:42 +0200 Subject: [PATCH 7/8] more testing --- PerturbationTheoryPk.ipynb | 81 +++++++++++++++++++++++++++++++++----- 1 file changed, 71 insertions(+), 10 deletions(-) diff --git a/PerturbationTheoryPk.ipynb b/PerturbationTheoryPk.ipynb index ee13b67..9f41821 100644 --- a/PerturbationTheoryPk.ipynb +++ b/PerturbationTheoryPk.ipynb @@ -12,7 +12,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 17, "metadata": {}, "outputs": [], "source": [ @@ -41,7 +41,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 18, "metadata": {}, "outputs": [], "source": [ @@ -90,7 +90,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ @@ -119,7 +119,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ @@ -139,7 +139,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 21, "metadata": {}, "outputs": [], "source": [ @@ -180,7 +180,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 22, "metadata": {}, "outputs": [ { @@ -228,7 +228,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -270,7 +270,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 24, "metadata": {}, "outputs": [], "source": [ @@ -295,7 +295,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 25, "metadata": {}, "outputs": [], "source": [ @@ -319,7 +319,68 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Now compute power spectra. Note how we pass the P(k)s we just calculated as `p_of_k_a`." + "Testing for the extrapolation in k (and z?)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "zz=0\n", + "nk = 512\n", + "log10kmin = -5\n", + "log10kmax = 2\n", + "k = np.logspace(log10kmin,log10kmax,nk)\n", + "pk_nl0 = pk_nl.eval(k,1./(1+zz),cosmo)\n", + "pk_nl0_pt = pk_mm.eval(k,1./(1+zz),cosmo)\n", + "\n", + "plt.loglog()\n", + "plt.plot(k,pk_nl0,label='baseline ccl')\n", + "plt.plot(k,pk_nl0_pt,label='through nl_pt')\n", + "plt.legend(loc='upper right', ncol=2, fontsize=13)\n", + "plt.xlabel(r'$k\\,\\,[{\\rm (Mpc/h)}^{-1}]$', fontsize=15)\n", + "plt.ylabel(r'$P(k)\\,\\,[{\\rm (Mpc/h)^{3}}]$', fontsize=15)\n", + "plt.show()\n", + "\n", + "plt.loglog()\n", + "plt.plot(k,pk_nl0_pt/pk_nl0,label='ratio')\n", + "plt.legend(loc='upper right', ncol=2, fontsize=13)\n", + "plt.xlabel(r'$k\\,\\,[{\\rm (Mpc/h)}^{-1}]$', fontsize=15)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now compute angular power spectra. Note how we pass the P(k)s we just calculated as `p_of_k_a`." ] }, { From 7d0891be0de5b13707af4d125c604fd3408f38fb Mon Sep 17 00:00:00 2001 From: Jonathan Blazek Date: Wed, 13 May 2020 14:34:57 +0200 Subject: [PATCH 8/8] more testing --- PerturbationTheoryPk.ipynb | 29 ++++++++++++++++++++++++----- 1 file changed, 24 insertions(+), 5 deletions(-) diff --git a/PerturbationTheoryPk.ipynb b/PerturbationTheoryPk.ipynb index 9f41821..83aff43 100644 --- a/PerturbationTheoryPk.ipynb +++ b/PerturbationTheoryPk.ipynb @@ -324,12 +324,12 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 31, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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" ] @@ -356,7 +368,7 @@ "zz=0\n", "nk = 512\n", "log10kmin = -5\n", - "log10kmax = 2\n", + "log10kmax = 3\n", "k = np.logspace(log10kmin,log10kmax,nk)\n", "pk_nl0 = pk_nl.eval(k,1./(1+zz),cosmo)\n", "pk_nl0_pt = pk_mm.eval(k,1./(1+zz),cosmo)\n", @@ -369,8 +381,15 @@ "plt.ylabel(r'$P(k)\\,\\,[{\\rm (Mpc/h)^{3}}]$', fontsize=15)\n", "plt.show()\n", "\n", + "plt.semilogx()\n", + "plt.plot(k,pk_nl0_pt/pk_nl0-1,label='ratio')\n", + "plt.legend(loc='upper right', ncol=2, fontsize=13)\n", + "plt.xlabel(r'$k\\,\\,[{\\rm (Mpc/h)}^{-1}]$', fontsize=15)\n", + "\n", + "plt.show()\n", + "\n", "plt.loglog()\n", - "plt.plot(k,pk_nl0_pt/pk_nl0,label='ratio')\n", + "plt.plot(k,pk_nl0_pt/pk_nl0-1,label='ratio')\n", "plt.legend(loc='upper right', ncol=2, fontsize=13)\n", "plt.xlabel(r'$k\\,\\,[{\\rm (Mpc/h)}^{-1}]$', fontsize=15)\n", "plt.show()\n"