From b5556636d2a5dab11dfd08d253a7d7087c50d3c4 Mon Sep 17 00:00:00 2001 From: giulio Date: Sun, 31 Oct 2021 10:49:25 +0000 Subject: [PATCH] Fix density calculation --- examples/test.ipynb | 40 ++++++++-------- examples/tfest_example.ipynb | 63 ++++++++++++++----------- setup.py | 4 +- tfest/__pycache__/tfest.cpython-36.pyc | Bin 4939 -> 5074 bytes tfest/tfest.py | 13 ++--- 5 files changed, 65 insertions(+), 55 deletions(-) diff --git a/examples/test.ipynb b/examples/test.ipynb index d898c6a..584698a 100644 --- a/examples/test.ipynb +++ b/examples/test.ipynb @@ -18,7 +18,7 @@ }, "outputs": [], "source": [ - "!pip install tfest" + "# !pip install tfest" ] }, { @@ -29,8 +29,8 @@ }, "outputs": [], "source": [ - "# import os\n", - "# os.chdir(\"..\")" + "import os\n", + "os.chdir(\"..\")" ] }, { @@ -182,25 +182,25 @@ "output_type": "stream", "text": [ "Optimization terminated successfully.\n", - " Current function value: 25.623163\n", - " Iterations: 32\n", - " Function evaluations: 61\n" + " Current function value: 25.729664\n", + " Iterations: 50\n", + " Function evaluations: 90\n" ] }, { "data": { "text/plain": [ - " final_simplex: (array([[1.11699882, 0.57749717, 1.22745919],\n", - " [1.11608453, 0.57707799, 1.22702282],\n", - " [1.11739927, 0.57722975, 1.22678823],\n", - " [1.11716571, 0.5764333 , 1.22767178]]), array([25.6231627 , 25.62317263, 25.62321079, 25.6232171 ]))\n", - " fun: 25.62316270094567\n", + " final_simplex: (array([[0.58889476, 0.5339884 , 1.6634243 ],\n", + " [0.58823629, 0.533698 , 1.66350536],\n", + " [0.58877414, 0.53429108, 1.66278338],\n", + " [0.5885178 , 0.53423417, 1.6637289 ]]), array([25.72966433, 25.7296656 , 25.72966597, 25.72966716]))\n", + " fun: 25.729664330734547\n", " message: 'Optimization terminated successfully.'\n", - " nfev: 61\n", - " nit: 32\n", + " nfev: 90\n", + " nit: 50\n", " status: 0\n", " success: True\n", - " x: array([1.11699882, 0.57749717, 1.22745919])" + " x: array([0.58889476, 0.5339884 , 1.6634243 ])" ] }, "execution_count": 9, @@ -209,7 +209,7 @@ } ], "source": [ - "te.estimate(nzeros=0, npoles=1, init_value=1, method=\"fft\", time=10)" + "te.estimate(nzeros=0, npoles=1, init_value=1, method=\"h1\", time=10)" ] }, { @@ -224,8 +224,8 @@ "data": { "text/plain": [ "TransferFunctionContinuous(\n", - "array([1.93420657]),\n", - "array([1. , 2.12548088]),\n", + "array([1.10282315]),\n", + "array([1. , 3.11509447]),\n", "dt: None\n", ")" ] @@ -249,7 +249,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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", 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", 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IK4UQw4UQ04UQTehD7YMhTE2gqsi/T7CiYCfs+Uw+rjebRHzzD3j6DOsHUz+mMxriUuE7z0DxAfikw2WYRqMJd9y18O7tst+IygtoqAmc2AWPjYPDZq8CNdesejrwvOQTApkdN+4GRGzZCJ8mgIDKRkFIMhbXaXYMqq+S27I8qDhuqWrqR1L7DT4DpsyHTa+D19NhY9doNN2AvHVwYiec/z+QkCFfi4r2n9wLdwNCzi0g5xpnjHy+7b3G51Tm604MEY1IIfDPnH1sK7DaxBXl5/rv4PXAlndgwtWAYUlntVU/mE8TcFnHZo6VrSYrm0iFP7YJvn6s21UT1Gg0JlXF8MUf5TYYZUfltu8467WGmoDaxz7HDJgOvYbBpjf8Tuf1CoqOHwbgo/1NBKu0M2EXItoePPr5bq4SNVxhzt0/e+kz9qZWcMbwDC4e35+ZycU43dUwcBZsedfSBOor5bbsKGSOkeoeyB9WkZxl7pMX3Hmz6OeQu1LWFz/tnvb/ghqNpuMQAt6/G3Z/LHOCzv5N4P3UYjG5v/WaM9o/Y7j0iNyqOaauUu4/YAbs+5LKWjef78jn4y3HWXmgiLvr1nOjM5pfLTrIxdNG0cE5tUCEagI7/nAB14+0/nm3Tojn1L7JfLjxKNc/v4r/9+xbAJSnjIDoeNsPZG7VD+czB9mFgPmDKwnfkPxtUgDEZ8DnD8KRde31tTQaTWew8ikpAOIzYP2rgW33IOeAmGRZZl7R0DGs5ok6c4FZXw2ueE4mDoOK45z38Hv86I2NbMwt4bxTMzl/IDiSMvn65+d0igCACNUEnA6DaMNSp2b38zD7zKnU1Hv4YkcB1Ys/xltmcO4rx1kc6yKhtgon2HwD5g+nfsyoQELA6iPqx9qXpM3v9sXw8rfhs1/DrUFCUDUaTVjhdFfDst/LaJ/J8+H1q2HXIhjdsBIOcp5I6tfgBDENhIDyBUhzkKeuig1Ha3hyYx0vueC6IVVMn3sOUwel4XAY8EoFpPUnJt5FZxGRmgDY8gSik2SVPyDW5eSi8f24YkAZ9SmDGDO4L8erDJZuP8Tn2/P9HcTgHx2kiM8Ah8vax05thbTzjbkceg2Fcd+VzqP6mg76lhqNpj1JKt8jG0lNvU1WA00ZAGtfDLxz2VF/UxCYPgGb5mDOE566Sp5bup+ysjJ2FLoZO1E2tb9nTB3Th/SSAgA6PVEMIloI1MsmD8n9G2cNF+wgpv9YXrx5Gv179yLBqOP2V9dSUHRSvu8TArY8Ad+JHZDcL7A5aN+Xshn95Bvl8wEzpCA5trF9v5xGo+kQUkp3AgZkT5XtIifdAPtzAjuIy45aPkKF3Rzk9fosBos37ufhRTtIcNRyybRh/PSKsyAmBQp2+B9fkd+p4aEQwULAEG4plZMyZdjVuldgwRXS7l+0D/qcCkBiYgpTs2K59+zhuM0ksJoi6aHHE8AxDJDUH8oDmIOUsEkfIbcDzDp6KkZYo9GENcllO+TcEGdWCEgfLrcNowE9bnm/Jzc0B0XLeUMIRGWBL+HUXVPBE9dOIFrUkZKUIh3OfU6VQqAkF545E46slRnDWgi0Dw5vvbTPJWZCySH4/Hewd7HMDxAe6GO2PHDF4aiv5r55o+gTI2P/PSV5PPnlHoQ7gDkIpHYRyBxUUyK36gJKyJChYLmr2/8LajSa9sXrJaV0lwzhVKh7ubrEf9/KAjmPBDIHARXVNfz5rS99L58zPJmLT02TT6Lj5TZzNBRshxVPyrDyj34sX9dCoH2QmoBL/kPLj0F1McSmwNK/yh1sQkA5baI8NQhnDAlGLc98tp6nvzRVtYBC4GjjPIDqEnAlQFSM9dqAGZC7SucMaDThTuEuojyVlgYPMhsY5ArdjjIHNzQHmUEk1z+zjEP7ZU0h4YwhTtRYuQIuUwj0GS0XjmtflHNT/hb5uhYC7YPDWy8nY+VkGXoWnPlzqao5XJA+TL7uipf5AV4PeGoxeg0F4DezU9h4SKqAhdUNJvDk/uCuaXxhVJdYKwfFwBmyXkhTlQM1Gk3Xo8y2diGgCkfWNNAElBBoEB10uFQGpBSWlvOzWbLysNFrqAw6UWGirji5NU3SeGrhmoWWwNGO4fbB4TU1gTSzx+ncB6TDNjoJMkZazt7oeCmh1Q+UIe35V41wcM/sgQB8/40tbM2zVf0LlitQfdL6IRXqgspd1V5fTaPRdAS5q6lzpcjIPkULNIF31x3hhRUyx2jhLZMZFl0iTdKpA6QQ8GkCphDobQqBwbNlSZpZ94DhlBFJnUjECgFDmD6BUy6CH66HgTOlynXpE3D2r60dXaYQUOGhphCgLI9xfc0fyxHNNc+uZOV+s9qoL2s4gBCIbaAJZIySn6udwxpNeJO7krLkU/w7B8amyG0jIZAn55f4XgA8v2w/P317E1kZcv9BKVFWCGl0ggxIUXOMK0FuE9LhvD/ABY/I52fcB/esgcTeHfUNAxKxQkBqAtEyzEuZfgDGXCYFg8IV56+q9RoqQ0vL8nyhXk/cNIO+KbHc9OJqFm/Pt1TA8gZCoCaAOcjhgOzpzTuHT+wmql6XqNZoOoSTB335QgGpOAHF+ylNOcX/dYdTCoKGjuHyY5DcDwH87yc7eei/O7hoXD9umT1Svu+pk3NIcpac9ANpAgCn/wj6jjU/y+E/V3USESwE6v0zfYPhigPhtWx+MUmygl/ZUZ8QyExL4e27ZnFqv2S+t2Ad7+yuB4zQzEEgTUIndjS+kBRCwIvzGHTo7dC/oEajCZ23b4ZFPw3+/hG5SCtNObXxe3FpAc1BIqk/v3pvC0/l7OO6GQN5/NpJuKJj5fueeikEUrKshaZPE4hv+/dpRyJWCPjyBJpD/SCq3LQrQapwpUf8ksXSEqJZePsMThuWzs/+vYPqmIzGYaKBHMMgncMAR9YEHkNFPlSfJKa2icqkGo2m9ZTkyh4iwTi8EpzRVCQGWInHpjZyDIuyPNaXxPP66lx+cNYwHr5sLE6HYc057hqZKJbUT/od/cxBcYQTESsEHKotZHMoIaC6i0XHyxCtysJGyWIJMVE8d9NU5o7qza7qJPIP7bLOU18N7urAmkD/ydLhE8w5XLRPfnRdkJZzGo2m9Xjc8v4+eTB4P/Hc1dBvIt5Ac0YDTcBdW427JI81xbH8bN5I7j//FKvYmzq+8oTVJtKVIOcS1ZFQC4HOwRBu/3j9YDTSBOJkkldlQcAqorEuJ0/fMIXDabPILF7DJ4s/lW8oU08gIRCTKO1+h1dKu+Tyx/2b0pjho6568xwFO2Qf0sqiUL+uRqOxc3A5vDBPloOvLgaEnJTLjlj7lB2TiVp1lXB0g3+SmB2bEHB7vLz//B9xiXr6TbmIe84e4b+vijpUlYgTeluTvm+hmdA+37GdiFghELomoH4gmzkoobf8weqrpZPY4fQ7JNblZN7tD1PhSCJ26cO8ueawpS42jA5SDJgpi8ktvAoW/z+ZIagwhYBPEzi0XNYbOrQ81K+r0WjsbP9Aat4nD/mXfDC1bgC2vAWf/gpeu1Ku1AfODHyuuFSoLsHjFTywcDlnFbzKkbTpXHr5dY33VXOO8hcmZFgZwlW2hWYYEcFCIFSfgPmDKE0gOl4mawivrDnkDKxNxCalEXPWz5jr3MR7773JFxtMe2MgTQDkKqO+yiomV2pbkRTLC9PlLjcdSmZdoqMbmh+/RqNpjLp3yo/6CwF70qa6B9ViKzu4JiCqT/KLdzaRvetF0o1ysq94JPC+yvrgEwJ9rJBQn7VBO4Y7BZknEIIQUKqZUtVc8Va/0LK8Js/hmvk9RGwKd/XawOtfmSnfgRzDIBNCopNk1rI6t8J+YVYVQflx+VgLAY2m5XjccHyzfFx+XIZ/KvyEQJ7M4xl9GfSbKItNBkDEpmIIDx+v38v8xLUw7BzImhL4s5U5SN3fCb0tTaCyUHYbtFclDgMiVgg4vO7QQ0TBX0onmMkaZXlN/2CuWIyMUZyZXsq0TOkYyjkcxPGUlAkPHIKzfgVRsdYqRAgo2g/J2fJ5RYGVf3Bso3/NoY0L4fiW5r+TRtOT2PERHPrGen5ip4zOAbkiV5pAcra/ECg7IrN5r3wZ7rCKvdkRQrBorzzXPdOTSa3Ng34Tgo/FZw7KAwyZTGYPPgkzLQAiWgi0NDqoUNr/o2IsIVDatCYAQPownMX7uWWyzBT8yUeH+Gp3kFBPh1NmIyZnWSuFigJZu0g5pSpPWOag6pOyAipIYfDRj2HV081/J42mJ/HZb2DpX6zndg26/Ji8pxxR0H+iv0+g1EzmMoxGfj/FE1/u5YNdMrTzeyMrMYSn6YQuNV+U5kF8ujyvfY7RQqDzkHkCoUQHKU2gSNruDMMSAvWVzatuvYZB+VGiq/IRhoP+vXtz17/WsvpAgCYUipQseZGAzx/gc0pVFsoLN2uqfK4u6Koi6bxqKutRo+lpCCFNPvbEzWMbZe/fjJGmECiQ93T6cBkm6vXIbn9VhZCSHfTUzy/bz98W72bCiMEAGHlr5Ru9mhIC5nxRX2nNIz5zUFHYOYUhgoWA1ARCsL0pyVxXbv1YcWlSK4Dmw0zTzWJTeesxYlN55faZ9E+N47aX1/gXnbOTnG1pAko9VYXmSs1Io+HnylWFEgLKfKT8BRqNBmpKpemn1OZjO7pBmmyS+0uturJQTsi9hsow0dJc6/5rWAraZOGqwzz03x1cOK4vd51v2v/z1sutajQTCPvCU/kWlWO4rlxrAp2GEDhamicAlpR2OGUvYWjeHKRWBcc2QlwaGYkxLLhtBslxLm58YRV78ssbH5OSJVcoHrcUAo4oyByL14iCY6ZDK20QZI6Bo2Y0kVrpBOpoptH0VNSiqK4casrAXQfHt0L/SVYHwMoTpiZg3qvF+61FVQBN4P0Nefz6/S2cNao3j109iajEdPmG0jDU5B4I+8JTlYS2r/61JtBJBOoNHIyoGMDM9nPZkjiUKtfcOdSFVV/liwzqnxrHa7fPIMrp4IYXVpFbXOV/THKWDEEtPyZtlKmDwBlFXXSKFdWQ1E9GLCjnsFq5VBX6N7LWaHoyFTbNuOyodAp7aqX9P7mfFBLl+ZYmAPKeU/dTAyGwPt/NT9/exKyh6fzzhilERzms3J/6KrPApEFQ7ItGnznINq9oIdBJqEbPofgEDMPSBqJtWkFCiJpATJKMBQa/HIHBGQn867bp1NR7ue75leSX1VjHqAuvLE+qmJmyy1m9K1XaLEEKgT6jpbpbke8fUloRol+g+iR88UctNDTdh5LDsOxvoXfis5tHy/LghFnKpc9oeQ8Jj4wCSsiQz+N6yXtOmY9s7SG/2VfIU5tqGZeVwnM3TSXWZTqLXXHWXNJclU8/IaDMQbZ5JcyyhSHihUAI0UFgTf52Ke3TBEI4h7owGmQLn9I3mVdunU5xRR03PL+Kk5XmuJQd8uDX0gcwZA4AddG245P7QYZpeyzc4+/4CtU5vPszWPZXy8SkgY0LSS5topBYZ7PpTd1rws7Wf8MXfwjd7Gnfr+woFO2R/rxeQ/27fiX2kQu+IbPhwFIpGOLTfff8xtwS7nhlLX3jDV6+ZRoJMVHWsYZh5f805RQGf8uBmkP8rA1aE+gc3Gbht1DyBMD6YQKag0I4h7owAmQLTxyQyvPzp3GouIqbX1pNRa3b0gQ2vS63phCod6VY44hJhnSzLkmRKQTU+EK9QVSaenUTkUo9jS/+SP+jn3T1KCy+fAjWPN/VowgfVNKmyttpjvJ8a6VdlicXTKkD5cSbbBMC6n4ecqYUAAeW+RZju/PLufml1aQnxvDTqbGkxgcpIgfNawKGrZKo+kzDsDQA7RjuJFqqCQQyByW2RBMwbY1BSkbMGpbOU9dNZuvRMu54ZS01TnOSL9orexeY3czqok0hkNTXyidwxcsLu/SIdHZBC4SAeUNVaSHgw1MnI8fCBXeNNtfZUQuWqhCLJ5Yfk/dJQh9LCKjFU1IgISAXXBTvg5RscouruPGFVUQ7HSy4bQZpsUGmRHVvN6cJgE0I2HoFuwJYG8KECBcCIfgEwKYJ2H0CITqGwaYJBCkZAZw7OpO/XTmBlQeKuGfhBoSyRQ6d43M0+cxB6j3Vaahwt9QE+k2Qqm6oPgGfENDVSH1462UOSSslk38AACAASURBVLjgqQNvGI2nq6lqqRA4LhdNqgdI0V6ZHwByElah3up+Th8uo4aAqri+3PDCKmrqvfzrthkMTG9ila5MvaF0/lJzhj2KyGdy1ppA5+ATAiHW6HAFUNVaYg7yXXRN9wa9bFIWf7hkDJ/vyGdnVbJ8cciZvvd95iD7CiZ9hGxG46mVam5Cn9A1gUptDmqExx1emoCnTmsCdloqBCpMIZCSLav0uqstX5ozSvYGAX/TjHnPLdzp5UR5LS/fMo1RfZOa/pyEDOlDMHsKN0lDcxDYNIEIEwKGYfQyDGOxYRh7zG1Ae4hhGB7DMDaafx+25TNDwucTaKEmEB1ACIRyjszRcPUCOPXbze5646zB3H/+KDaUSsEjBs/2vednDlJkjJQRQiBXO0l9Q3cMt/SG6gl4w0wIuGu1JmCnJT4BlS2sNAF1nyhzEFj3km1VXjvgdAC2VSTx3E1TmTQwSOVfO2feD9e8Hso3kBaIqLgGoaGRaw56APhCCDEC+MJ8HohqIcRE8++SNn5m87QkTwCCOIZViGiI5zj12yH/wHfPHYZ37JU87b6Yv622QkfrXQ3MQeDzF8jXs0whEGLWsHIM230CoYbeRSrhZA7yemQIYzgJpa7Afk22xCdQUyJ9Kol9g98zSf1lo3hzMVfr9nDvxize85zBJZdfw+nDm0j8spM2yGoT2xxOl1xE2vMJItgcdCnwivn4FeCyNp6vffC1hQxVEwiUJ9ACc1ALMQyD66++joOTfsETS/by7FJZP6gqPgtGnA9Dz7J2tqeo+zSBljqGze0H98BbN7bDN+imeL0gvOGjCSiNNVjLw56Auxb+NkqGynq9VhvHqhA0AaURJ/W1wq5jki0TEMCYy2GSvObdHi8/en0jn+6rwXPZM5w1ZWw7fhEbzujGWcU+k3P4aQJRze/SJJlCCDUjHQcCF+SGWMMw1gJu4BEhxPvBTmgYxp3AnQCZmZnk5OS0eFBpxeuZAKzfvJWyQ55m9x954iT9gV0HcjlWa33erOg0jhaUc6gVYwiFeb0E+/s6+Z9FOzl2aD9T0urJybobth+Xf4DTXc1swGs4WbpuO4OKahlSVchXX36OcDTx8wkPc6qKMYCKE7mszclh6u6lRNeV8E07fp+KiopW/UZdgeGtZw4g3LVhMeao+grOAEpLitjQzHi60/9ZEcqY4ysPM70inyOrP+RgQTxnCC8AJ4/uY1Mzx6YVb2QCsGGfFAaTgLLoTNZ/9ZVtr94Qcx5iyRJe3FrHsjw3150STUb5XnJy9rZqzM0xod5JnZHADtt5Rp8spw+wbe9BTpS17fwNaeuYmxUChmF8DvQN8Nav7U+EEMIwjGC2hkFCiDzDMIYCXxqGsUUIsS/QjkKIZ4FnAaZOnSrmzp3b3BAbs7MKNsPkaTOtsMqmqF0Mxz5l1JhJjJpg+7xJyxkSl8aQ6I5T4c6Y7eWOV9fy8vYTxI2P5ecXz2280+YsHIaDuWedA2sPw8HXmTPllCYrIFJZBF/JnyPRUcvcuXNhZSnUlzJ3xoTgHdBaSE5ODq36jbqC2gpYClGGNzzGXFEAyyElIa7Z8XSr/7NJSGPe/iGsgexkg+zJo8Fs8pXm8jR/7MZjsBkmzb5ARgFt/BXJQyY3Ok4IwcP/3cGyvAP86JwR/OS8kW0bc3NM+wAcTjLt91jp23Dia8ZMmAqj2nj+BrR1zM2ag4QQ5wohxgb4+wDINwyjH4C5LQhyjjxzux/IQQrtjqPFeQIBHMMgC711oAAAiI5y8PQNU5g6KI1nNteSsyvAv7D/JOg9Sj5WkUPNOYeVOp2cLX0CdZVWH+TCxiugHoFpBgo7c1BPdgwX7ZHb0jzLbJmcHZpPQNUNSsyUptKYlICLvie+3MvzXx/g5tMG8+NzRzR6v91JyGi8yApjc1BbfQIfAvPNx/OBDxruYBhGmmEYMebjDOB0YHsbP7dpWp0n0DU/UFy0kxdunkZ2koPvLVjHmoMNQjovfwaueEk+Vi3wyo7QJOomyhghfSSFe6z3ivYEPibSMW3vYSME1HXak0NE1YKk7KgVwJAxQl6/Xm/Tx5YdlS1bYxKl4/eH62DaHX67vPLNQf62eDffnZzNby8ejdFU8beOJFAuUpjQViHwCHCeYRh7gHPN5xiGMdUwDJULfyqw1jCMTcASpE+gk4RAqNFBynPfdcWdkmNd/HRKLP1T4rj1pQa9CGISIdbMK0gfIVcZX/1FNsYIhgqxU5ES9raURVoTCAu0JmBdixX51so+Y6SMmqoN0o8DpPDYuNDqyAcyy99pWbjfWH2YBz/cxrzRmfz5u+NwOLpIAICtbESEaQJCiCIhxDlCiBGm2ajYfH2tEOJ28/E3QohxQogJ5vaF9hh4k7Q4TyBAdFAXkBxjsOB22Ytg/our2VsQoBdBTKLUDPK3wKe/DH4ynyZg2j+VEFBlKHoi5mQbNiGiKootXIRSV1C0x7z/BOSba0O1cKkMYhKqr4a3b5bm3kseD7jL+xvy+OV7W5gzsjf/uG4SUc4uzouN1GSxsMWXJxCiTyCpr3QsNZPx2xn0T43jX7dNxzAMrntuFQcKKxvvNPJ8OO2HsPZFKNgR+ERVQTSBATN6ribgCTNNQF2nPTVEtLJIhoQOnCWfH98iGyylDZbPg/kFNiyQi6DLnw4YHPHxlmP89O1NzBySzjM3TiEmKnD/4E4lqS84XO0WkNGeRKgQUHkCIQqB4efBPWv9E066kKG9E1l4xwzcXsF1z61s3JQGYMotcpu7OvBJqoohOtFXJ4XjW2S3tMwxsqlGc/bWSMTUBBzCHR5Jc+4ergmoxchQs6jb8S2y3r+KsQ+WK5C7SuYFjDy/0Vtf7Mjnh69vYNKAVJ6fb+sJ0NWMvgzuWR1a2YlOJkKFQAujg1ShtjBiZGYSC26bQVWdh2ueXUleSbX/Dr2GyqJWeesCn6Cy0L/WSV25jHZSjuLS3I79AuGI3QGrrpGuRC1WeqpjWAUoqMqedeXyeo032zkGKx2Rty5gFNCyPSf4/oL1jO6fzIsNewJ0Nc4oq7NZmBGZQsDdQsdwmDK6fzILbptBWU091z23kuOlNkewYUDWZKv5dUOqiuTNZG90k5zl36MAoGAnPDUruP01krCvuNUqvCtR12lPcQzv/wqeO9v63oV7pIkkc6zM9AVz4aI0gQDXZFWx7BGcNcXv5VX7i7jj1bUM7Z3Aq7dOJzm2e9/7nUlkCgFPnWza3lXhYO3IuOwUXrl1OoXltVz3/EoKym2CIGsKFGyHugDmoqpCqVY7oyxBkJxl+QhUaN7RDfIcJ8Ko21ZHYbe9h8Pqu6dpAodXyFV8pZkLU7RXro6dUZYpNi5NBmhExQUWAkfNRY9NCKw/fJJbX15DVmocC26fEbgpjCYokSsEHJGzEpg8MI2Xb53OsZIarn9uFUUV5uSRNUWG0h0P0D6yqthaUSmTUHJ/6fyOTpKrKbASyCpPdOyXCAfsmoBHawKdjrrGqs1rrni/ZYZVtX+UKSghI7AQyNsAGLKRPLDh8Enmv7CajKQYFt4xk4zEECMCNT4iVggII4zsge3AtMG9eGH+VA4XV3G96lfcf7J8M5BfoLLQmvzjzG1KttSO7DeYKr8bSsGu7o4nzMxByi8hPOHhqO5olI3fd80VWU5gpQmoaza+V2CfQN46GfYcm8L6wye56YXVpCVEs/COmWQmx3bs+COUyBQC7tqI0gQUpw3P4LmbprK/sJLrnl9FsSNNptg3FAJ1VbK5hrrB1OrKrnIrDUCtykLt6dqdsa+4w8kxDD3DJOQTAiVS6FWXWCGTKtRTXavxATQBIeS1njWZdYekAOiVGM0bd84kKzX8krC6C5EpBDz1eJuqsNmNOXNkbykITlRw3XMrqc2cCEfW+u+k1G7fDaXMQabKHZdmlexVq7KeJgTCQRNw2wRRTwgTVdpmdYlM+PLUWkLAd22a12pCRuNrsvQIVBZwOO4UbnphFRmmAOivBUCbiFAhUIswIk8TUMwZ2ZsXb57GwaJKXjycCSWHoMQW8qn6DfhUbFMYqOJzcak2IdCDfALhGiIKPUQTMK+xmlLrulNBCykNfAJJ/eR1bM9nObgMgJ98E0Of5FjeuHMW/VK0AGgrESoEIlcTUJw+PIOXb5nOf6tHA1C29WPrzVKzuJxaXU29FS59ClymzTQuzTID2e2zkY43zISAnyYQ4c5hr8cqEFdTYi1ClCYw6Aw493cwdK58npwlfy/b4qRo4385IVI5mXQKb9w5k74p2gfQHkSmEIhQn0BDZg5N58FbLidP9Gbzkrc5qhLKyvLkVgmB9GEw6XrrQOUT8Hp7lk/AE2bmILsginRNoPokYDq/a0obC4GoaDjjJ9ZCRWkGZrXcVXvziTqwhHWuybxx1yztBG5HIlMIRGB0UDCmDUkn+tR5THJv5vpnlnLkZJWszR6dZFUebUhsKggv1JbZfAI9wBwUbpqA3RwU6ZqA/fqqLrEWH3GpgfdXC5iyo3y9p5DHXnmDFKOSWedfQx8tANqViBUCPUETUPSeeDEJRg3Dqrdy9TMrqSo6bK2kAqFWX9UnbVFCxVJlj2TCLUS0JzmG7ZpmIHNQQ0whsHPXDm59eQ3fjt+GMBykjJ3XwQPteUSsEOgpmgAAQ84EZzR/Gp9PZZ2bg/t3UxkbrN0z1o1XVQR1FTIcT9iafEcq4awJRHolUV/EWkZgc1BDEjLwOKJZum4To/snc1XqTozs6WFZhbO7E5lCwN2zNAFiEmHgTHoXrODNO2eRKYr4NNfJxtySwPsrFfzkQblNHy63ke4XsGs64SAEepImoAIP0odLU1BNCRhOWek2AAtWHSbXk8bYxAoW3HAKUfmbYPg5nTjgnkNkCgFPXcRHBzUiawoU7GBUGqRTQomrD9c/t5Jv9gaY2NVq6uQBufUJgQj3C4SbOagnhYhWngAMWStIaQJxaQHrez391T5+8/5WamIzmZleTWKx2WymQdE4TfsQoUIgsvMEAtJ3vFxN7lsCwBVnzSA7LZ6bX1rDp9uO++/rEwIH5VbVb4n00hFhZw7qQSGilYXyuovvZfkEGph2hBD89dNdPPLxTr49oT8jR56Co/wYHNskd+g3oQsGHvlEqBCI/DyBRqgbZNciAJL7DOLNu2YyJiuZ7y9YxzvrbI3pVYJO8UG57SnmoHALEXX3oBDRyhOyeGFsKtRXQcUJPyHg9Qp+/9F2nliyl2umDeCxqyfiSMmG8qOycmhyllUGRdOuRKYQ6CF5An6kDZE12Xd/Kp+nZJMaH82C22Zw+vAMfvb2Jl782jT/uGJlqV6lCfQaAhiRLwTCrYqoX4hohAsBVSzO7o8yH9e6Pfz4zY28/M1Bbj9jCH/6zjicDkNmvHvdUrvVWkCHEZlCwFPfs6KDQHZH6ztehnqCr2REQkwUz8+fygVj+vKH/2znb5/tQgghV2EqqSw+XT7vCT4BpSGGw8rbXWd1v4t4c9AJKQRiU+TzsjyIS6O8pp5bXlrDh5uO8osLTuHXF52KofwEqqhcdbEWAh1IhAqBHqgJAPQbL7cxKRCT5Hs5JsrJE9dN4uqpA/jHl3u5/53NiLhUfBmcsalSVe8JPgGHC6/hCg9zkKcWXPHm40gXAoUyPNTX6U5Q5UziqmdWsvpAMX+/agLfnzvMEgBgJYyBXOBoOoTIXC7/YDW5azYxsKvH0dmo1VKARLEop4NHvjuOfqmxPPb5Hm5PcXIKyPZ+rrjAVRsjDY8bHFF4BTjCwTHsroPoBLOERxhoJh2Fxy1X8wm9LU0AeH1zOYfqK3nx5mmcObJ34+OUJgBaE+hAIlMIpA2iPvpAV4+i81E3iqoe2gDDMPjxuSPpnxLH4Y9iOMUBntgUnKrRTEELW0zmb8NVFyQXIRzxusEZhVcYYaIJmEIAwsM8FSondsvclCDXWSOUidLuEwCKRTxv3jmLcdkpgY+LS4OoWJlLEOpnaVpMZJqDeirpI+QNkzqoyd2umjaAccMHA3CkOobd+eVSVW+pT+C1qxh06J1WDrYLMM1BwnCFj2NYCYHu5BN451b4/Heh76+uq4QMcg5bGtgt50wOLgBA5hCkDoL+kyKiX3i4EpmaQE/FGQU3vu+vRgehX2Zf2A9lxHPdP7/hoyl9GVxdDEc3+vq3NktVEVFxFW0cdCficYPThdfjCI+Vt7vOypgNh/GESvVJqyx0KJi5K/85EsvPcvay02wDnNG7idImiiteCJpVrGkftCYQaQyYBsn9mt/PjNEePjCbzORYvrNyGHWuFFjyP6F9jtcL7moc3jBYUYeKV0YHeR1RYWIOsmsC3UgI1FfJzmChUFuB+PpR9iVO5Z4lXs44JRsRZetr0Rx9x5khzJqOQguBnop5A8Yl9eLd753G8IH9eazqAtjzKeKbf8CCK2Dbe8GPd8tJwBkODtZQ8dSDU5mDwmDc7rruaQ5y10B9ZdP7fP57TtnxKHWfPohRVcj9RRdzx+whPHPjVAzlHNbF4MICbQ7qqSgHXWwqKfEu/nXbdB58R1C442MyPvuNuU8ajLk88PF1VQA4vGEwmYaKChF1hJFjuLuFiAohtQDz9w/KpjfoW34U8nNY4p3IlZd/l2unm/F6salQkW8LF9V0JVoI9FTUKsxclcVEOfnT1bP48MO/sXT1Ou6OXUx2WQExwY43V4LdyhzkMaODHEbXawJCdE9zkKcOENIkFAwh8FYW8m9xFvuNgZzznds4a6ItYNunCWghEA5oIdBTUULAdiMahsGll15F/Ig5HHlzFfWHD1F3pITx2QFu1m6rCUThdTi6XggoR3B3CxFVvoC64Oag/67dzUXeOo46+vPdu/+HYb0bOHbjUmXnO2cPTOgMQ7RPoKeSaEZmJPZt9NZ5ozOZMGoYaaKMq55ZwX82H218vLkS7FY+Aa/bChHtanOQClHtbpqAu0ZuA2gCHq+sAvrnfy8H4Mxh6Y0FAMhrLymEyCBNp9AmIWAYxpWGYWwzDMNrGMbUJva7wDCMXYZh7DUM44G2fKamnUjuD7ctDmrzT83oTx9nBWP6JXPPwg089vluvF5h7VCnzEHdSAioEFFHGDiGVQVRl9IEuolPQGkC7hq/Jj2l1fXc/soanliyl6tPjQPAEczcc85v4ZrXO3qkmhBpqyawFfgOsDTYDoZhOIEngW8Bo4FrDcMY3cbP1bQHA6ZDVHTg9xIyMDy1LJw/hu9MzuKxz/fwvQXrKK8xV6z13dkcFAYhokoTiIqRHba6myYAPoGwO7+cS5/4mq/3FvLQZWO5e7q0+de7kgOfI7EP9B7Z0SPVhEibhIAQYocQYlczu00H9goh9gsh6oA3gEvb8rmaTiBe1m6PqT3J307zsDvhDrbt3MGlTyxnT365TQh0J8dwGIWIqs+PipG28e4SImrPD6iv4uMtx7jsyeVMr/6abcn3csPk3hhmIcK66CaygTVhQ2c4hrOAXNvzI8CMYDsbhnEncCdAZmYmOTk5rfrQioqKVh/bVYTTmHsVHWM8sO7rz0gq38tITyW/HnmcB/anc/HjS3lswFq+BTg9teQsWdIt0vqnlJ2kttZJrZFEXVU53zTzv+539DMKM6ZTH92yKJaksj1Eucs52Wty0H3iK48wHdi+ay8jhcGxQwfY18R4wuXaSCnZxiTz8YOvfsorh3sxLMXB7b32EX3sBKsXv0NG4WqGAidrnWEx5pYQLv/nltDWMTcrBAzD+Bxo7D2EXwshPmj1JwdBCPEs8CzA1KlTxdy5c1t1npycHFp7bFcRVmM+kgRb/siUUYPgcB7sgQvH9Wby5Wdz92vrWJlbybdcYCCYO/v04GalcGJbLEkZfakp8xLtpOn/dcUJ+OuljBqSBbMua9nnvP4MFO+H79wXfJ/jW2ANjB43EQ7GMqB/XwY0MZ6wuTb2umGjfLgyt4Jrpk3g95eOIeaDd+EYTB/ZD6JS4Eg88Snp4THmFhA2/+cW0NYxNysEhBDntvrskjxggO15tvmaJpxJSJfbqkIoMRW50jz6psTyxp2zyHnhQzgmXy4qLSU9PUAp4HDD5xMQzZuDVEZsS2rkKKqKmk+mctvMQY6obhMieuh4Mao84X1zsjn/ArPOf5l5MZTmWr0DNN2CzggRXQOMMAxjiGEY0cA1wIed8LmatqBu4spCeWODrxNZdJSDeSOspjU3PfMV6w+f7OwRthyPqiIagmO43nSAVrdGCBT7ymoEH4v5+c5o2dMhzB3DQgheXXGQxz7Z7Hvt/JHWNeDrUleSKxcOahGhCXvaGiJ6uWEYR4BZwH8Nw/jUfL2/YRiLAIQQbuAe4FNgB/CWEGJb24at6XCiE2Qt96pCKDWb1JfamtXbVroJjnquenoFzy7d5x9GGm54PVaIqPD4hTg2Qk3i1a0QbtUnLSES9Py26CBnVFiHiJbX1HPP6xv47QfbGJtpM/upa0AIKDNzSUqPaE2gm9HW6KD3hBDZQogYIUSmEOJ88/WjQogLbfstEkKMFEIME0I83NZBazoBw5A3ctkxKD8uXyuzJY3ZCoi9cP04Lh8RTeJnP+UHLy+juDJMw0Z95iAzU7UpbUBN4i01BwkhhUCzmoC58nfGhLUmsP1oGff+3+tM3vEXfn7+SG6ZbnMPqoSxqmJLsynNtZrKa7oFOmNYE5yEdDi+GRCy2FdZnpzkwE8TSHLW87/Tyrguagns/4qLHl/GmoOtMKN0NPYQUWjaL6Di4VuqCdSWmVqGu+nVvc8c5ArLEFEhBK+vPszlTy1nXu0n3OZcxN3T03D45QmY14AyBUUn2TQBbQ7qLmghoAlOfAYU7pGPB8yQN72aFO1lA+prMOpkc5nfT60hJsrBNc+u5Mkle8PLPGSWjfBpAh0hBOyag7sJk5DdHORwhZU5qKLWzX1vbeKX/97C9CG9uKJvvnyjttz/O6mFgNIQs6dKIeCu1ppAN0ILAU1wEjIAcxIfOFNu1Q1vFwLuajlBAH1Kt/DRD8/gwnH9+Munu5j/0moKK8IkocxTb1YRNYPimjQHtdInYN+/KSGgBJAzWvoEwsQctOHwSS78v2V8sDGP+84bycs3TcSVv0W+WVveIFnMNAkqTWDADHzXi/YJdBu0ENAEx34jD5gut+qGr6uy6sHX10Ct2Wby6AaSop08fs1E/vSdcaw+UMwFjy1lyc6Czht3MOw9hiE0TaCuwgrnDAV7NFFT3bcaaQJdKwQ8XsE/vtjDFU+vwOMVvHXXLO49ZwTOE9st01Vdhfy/RCeB4bA0gfJjsvRFtq18mNYEug1aCGiCo27kxExIM1v8qQih+kqI72U+rpK2cJDboj0YhsG10wfy4T1nkJEYwy0vr+G3H2yluq6JiJyORAjTHBSqY9g2gbckTLS6xHrcpCZgdwxHdalPIK+kmmufXcnfFu/monH9WPSj2UwdbP62R9ZaO9aa5UJcsbLwXb3NHJTUVzaFVyR0g7wRDaCFgKYplBBIGSBvcsPprwko55+7xjQHmaUj8tb5TjGqbxIf3HM6t58xhFdXHOLbT3zN1rzSzvsOCjXJOl2WOSgUTQACm4RevjhwP+aqEDUBXwE50xzURZrAfzYf5VuPLWX7sTL+ftUE/u+aiaTE2er8563H97vWlkutLyoOXHFWT4GyPEjqBynZ1nHaMdxt0EJAExxlDkrJBodT3uh2n4C60eurpakgbbA0FdiEAMiuZb+5eDSv3T6Diho3lz+1nH/m7MPTmU5jJQTsmkBTQsA+gTcMExUCclf5r5IVofoElBbSRSGi5TX1/OztTdyzcAPD+iSy6N7ZfGdyNkbDGlB566CfmRVcWy79P65YiI731wSS+8vX1DWhzUHdBi0ENMFRN3KqWfUjJcsyBwXSBGJTIGtS4MkROH14Bp/8eDbnjc7kz5/s5LrnVpJX0kw8fXvhM7/YfAJNmYOa0gQqC6UAKQtQ/SRUn4DPMWyGiHaiJvDNvkIueGwZ/15/hHvPHs5bd81iYHp84x1rSqFwNwydK5/7NAHTHFRXJQViaR4kZ8l9UgZIwRYdoJmMJizRQkATHGXXTTH7wyb3tyY+P5+A6RiOSYKsKZC/NegEmBofzZPXTeYvV4xna14pFzy6lLfW5CJEB2sFPk3Abg5qpU9A/Q/syXO+fVugCTijZVKeI6rp7OV2orrOw+8+3MZ1z60iOsrB2987jfvmjcLlDDIN5K0HBAw5EzBMx3A1uOItTaC2TF4Lyf3lMakDZL+AblBVViPRQkATnLTBcMkTMP4q+Tw5S0587jo5qcak4DWcVohoTJIME/S64eiGoKc1DIMrpw7g4x+dyej+yfz83c3c8vIajpV2oFbg0wTsjuGmfAK1ckULjTUBJQRqy6CmzP+9qmLruOZCRNV+zo43B607VMyFjy/j5W8Ocsvpg1l072ymDEpr+qDc1YAB2dPkyl5pAq5YKQjqqyxBqITA3F/BJY936HfRtC9aCGiCYxgw+UarGX1KtpzYVEG56Hi8jmhTEyiTQiDbDCXNXdXs6Qemx/P6HTP53bdHs2p/MfMeXcrbaztIK1CTbMghotXS3OVwNfYJ2DWAhtpA9UlI7icfN1U/yFNnld/uwBDRmnoPf/p4B1c+vYI6t5eFd8zgwW+PIS7a2fzBuaugz2hp5otJkr+xu1o6hqNNc5ASiEoIZI6GYWd3yHfRdAxaCGhCR9l9i/bKrcsUAm7TMRydKEtNpA83V5HN43AY3Hz6ED758WxO7ZvM/e9s5rZX1pJf1kwBtpZi8wmE5hg2V7zxvRqbg+yF9MqO+L9XXQxJ5oTYVP0gu6bRQWUjNh8p4ZInvuaZr/Zz9bQBfPqTMzltWIgOW68Xjqyx8kNiEqXJz6cJxEkzkPpf2CODNN0KLQQ0oaOEQOFuuY1OwOuIMTUB0xwE0iSUu8qqMxQCg9ITeOPOmfz24tF8s6+Q8/7+Fe+uO9J+WkGg6KDmHMNRcRCXFsAcfdN35AAAIABJREFUdNSawANqAqYQCFkTcLarJlBd5+Hh/27nsieXU1pdz0u3TONP3xlPYkwLGgme2ClX/gPMJoAxSVbZiKg4aQ6qq5JOYcMhI8c03RItBDShk6KEgFlPyBWPxxkto0g8dXK1CHL1WFUku2u1AIfD4NYzhvDxj85kZGYSP317Eze9uJrc4mYatISCmmT9hEATk3S9GQoZ1wuqAgiBvuMAQ06CCq9HJospc1CTmkCNJUjaMUT0m72FnP/YUp5bdoCrpw1k8X1zOGtUn5afSJnzlCYQnSi1PZUsFm0mi5UekQLA6Qp+Lk1Yo4WAJnQS+sgJSwkB5ROoPCGfxyTLrVo9huAXCMSQjATevGsWv79kDOsPnWTeo0t5bul+3B5v68duSxZzR5nCqqky0U1qAkek0zyxj3+YaE0pICxzUFOaQFWxFWLrbHsBudKqen7xzmaue34VDgPeuHMmf/rOOJJjWzk5566WeSK9hsrnShOot2sCldI/pDRETbdECwFN6DgccpWrzEHKJ1Bp1gVS5qCMURCT0mohAOB0GMw/bTCL75vD6cPTeXjRDi5/6pvWZxvbHcOOKDkBV+QH319pAvFp/j4B1UAlJcuMlrIJASUs4tPlKr8pTaAiXwoRaHPZiE+2HuPcR7/infVH+N6cYXzy4zOZObSNGbu5q6QwV6GeMcmNk8WEB04e1P6Abo4WApqWkZwlu42BJQQqTE1AJQg5HLKYWJCksZbQPzWO526aypPXTeZYaQ2XPrmcPy3a0fIaRGql7TTt4omZTQsBt5kU1VATUIliyVlm8pxNCCjNIi5NTpRNaQLl+XIM0OoQ0aMl1dz1r7V8b8F6+iTF8MEPTueBb51CrCuEyJ+mqCqG4n3+BeFiEuXrwmtqAgny9dJcy0yo6ZZoIaBpGXbVPzoBjzPGKikcY+s523csnNjVLg5PwzC4aHw/vrhvDldOyeaZpfs5/7GlLNkVQmXSTW/Co2Mt+7/yByT2CUETiJM+AXeNrXa+ConMsvImFD5NoJecKINpAvXVUFtq0wTMENETu+DhflB8oMmvVO/x8uzSfZz796/4avcJfnHBKbz/g9MZm5XS5HEhU7BdbvuOt16LSbJ+Z6UJKFIGtM/naroELQQ0LcO+6lOagMIuBPqMkatbFU7aHh8d7+KR747n9TtmEuU0uOWlNXzvX+s42lTpicLdcrWq/BbKgZnYtxlNoNbSBMAyCdnj4pOzoK7c9AXY9lGaQLDoowpTeNk1AQQc3yKdrScPBh3W2oPFXPz41/zPop2cNiydxT+Zw/fnDgue9dsa8k0hkDnaes1eBsJl+gQU2hzUrdFCQNMykm03fHS8DBFV2IVA5hi5zd/W7kOYNSydj380m/vPH0XO7gLO+dtX/DNnH3XuAI5jpQGoCV+VjEjsIyfjYCGo7mopBFRpDLXKVyv/lGwrFFS9pvaJS5PHBqsdpIRAktmv1+H0H2MA4VFeJ/j5O5u44ukVlNfU8+yNU3h+/jQG9ApQ86et5G+VvSLsYZ/23zaqgRDQjuFujRYCmpahJj4AV4IMEVXYV4sZI+WE2wFCAGRl0h+cNZzFP5nDGSMy+PMnO7nw8WWs2Ffkv6OaUMuPy63D5hNw11h9EBqikqJUxJMqD1F6RJpv4jOsFbDyC6h9YlOkEAgWgqome7s5yD5G23Fer+DNNYf55bIq/r0+j7vmDOXzn85h3hhbw/f2pmC7FOL2+j92IaDNQRGFFgKalqHMQWZbxKDmoKhoSB8hJxQhYOu7ltmkHRnQK57nbprKizdPpdbt4drnVvKjNzZYGccNNQGfOcg0xZQHMAkJ4V8eAaxVfdlRGSHlcNg0AVVUr8osDe00M2qDaQLH/cegxtRAE1h3qJhLn1zOL97dQv9EB/+9dza//NapxEe3IOkrVE7shoNfy0zhgh2WJqdopAmY/xe7tqTplmghoGkZyhxkmgP8hEDD8sGZo6V9+cBSeOdW2PBahw3r7FMyWfyTOdx79nA+3nKcs/6aw5NL9uKpMydinznInHCTMv1ft6O0B1UeAaza+TWllp9AbZVwU85kaEYTKAAMq1+D0k7MsZRVlPOTNzfy3X+uoKC8hseunsgvp8cyqm9S4PO1B58/CK9dBQXbZFJYn9H+7/v5BGyaQEq2rhjazdFCQNMy4tOlFmCukH0+gehEuTq2kzkGSg/D14/K5yrqpIOIdTm5b94oFt93JmcMz+Avn+5i2Q5Z20aUB9EEAgoBU3DYbd9qVV9fZa2Cfe9V2d4zX3PFBQ8RrciXvRpUuKo5Jq9pDvrHp1v47+Zj/OCsYXz507lcNimrcbOX9qZgu4z+Wfxb+bxZTcAmBDTdGi0ENC1DmUHMFa/PJxATYJXax5xI9i+R2xM7zedfwfs/aFFtoZYwKD2BZ2+aysLbZxDvkPkBFYVmoTO7YxgsJy3A6ufgiz9Yk7efJmCGR9ZVWqtgh1Ou+FWbxfqqBppAtQz9XHi1f0G9igJLCIFMXgPKT0iz0qiMaD6/bw73n38KCS2p99MSKgvluMrzZfjryUPy9X1fym2fU/33V74RsMpGgH+ggKZbooWApuWkDPCZB3zmoECdpOwhhsPPlXHwQsD6V2HjArMvccdx2vAMpmbLCTtJyM/602f7KKsVMvrFGe2vCWx5B7a83YwmUO0fGWO3/ddXWwJCaQJlR2H3J7DnM+uYCitRbE9+OU8vOwxACnKMV0zoHbjTV3uSu0qOa/fHZga4gBHz5HupAxsL9Rjb72v3lWhNoNvTQcsMTURzzoM+E4hPCATSBFIGyMk2awqMvAD2fi4nxSNr5PuVJyA2ufFx7YijQfew9zbl86ojmfy4A9ye0AfDLgRKDskIHz9NoKHJp7KBEEgIbA5SmoDKrlYrbYDyfKpTh/PH97bw5ppcLo9uEBLaVGG79kJpQEfWyLECnPUrKRzsSWKKhtFBMUlw6VO6d0AEoIWApuUMmOZ7aAmBAJqAYcCN/5YF1Yr3ydcOLpOTLcgVcfqwjh1rgwidN753Bj9+axsPL9rBafHx9D52mAyvwOGtg/JjcicV7x8VJ+31htM6T12Vf3hkdLxlDrK/pzSBSjNktUSu9itr6oktP86CrTW8VZ/LjTMH8dMBNfCBbZBNlbhuL5QQyF0j24g6XJA5Fub/x2oiZMcVL0tGq7IRAJOu7/hxajocLQQ0bcKjyiHHBFnRZ02RW+WQ3bDAeq+pjN32osGEOjQzlfumxkK/0ZS+nYbjeC63Pbmc358ew2S1kwr5jIqRgkx10QL/1T40NgepvsxRMXJFb2oCouQwb6w+zPOfreML4Sa1dxaLr5nDkIwE2HXYf8xNNahvL9T/vnAXHDYbATld0C+AFgDm/yFJlrtQfg9NRKB9Apo24Rcd1BQJGTIk8uAy6zW7U7ajaGhaMUNE547qw8wJoxkSW0lRRS1/f+cLax/VLUtNdq44OfkLEUAINDQHKcdwHAgPwoz4EeXHePDf6xmbIsdz5ZwpUgDYxmSNuTM0AZsAPvwN9Dml+WOUtqeFQEShhYCmTTTpE2hIb3Oi6TdRmlhCEQLL/w8+/XXrB9hwQrU1P3EkZhJbV8yX953BneOsypvL12+SD5StXK321Qo9mDnILgRc8tjFK9bJz0Lw/GV9eexCsxSDLTrIFyrqG3MrfQKeenj1UjiwrPl9K09A/0mAGXraOxQhkCR/N91AJqLQQkDTJpoMEW2IWm0OnCnNJqGYg7a9B5vfav0A3dW2lbZh1ekBM2FMEFtbzJm9re5ltUXSPPPsiqOUVtXLlX99lbXiV3kCYL5nzyGIZ3d+Oa+vlwXrYquO+XY9s3cVhuq9kGQr+2DXBByu1guB4v2wP8c/EikYFfnSBKSSwkIVAloLiDjaJAQMw7jSMIxthmF4DcOY2sR+Bw3D2GIYxkbDMNpeZF4TNjTpGG6Immiyp1kF3Jqj+IBsWlNbLifbF78VchN7QGoCqt1jwxWsWo2XHZWO21jpEJ3dR07Cr64t4Iz//ZLj1Q7ctZU2IWCbCF3xvhwCUVfNF/sqOP+xpWw7IZvYn967xndeSg5b/gaVp9BwXMn9WiYEVj0D/7lPPlbtPE82XYoasHIVVM+AUIRAdKKlHWkihrZqAluB7wBLQ9j3LCHERCFEUGGh6X74fALBHMN2hp8LQ86EoWfJSbCyGSFQfRJqSuTj4v1wfKu0Xx8I5XLDrAFUY1W5bGh77zdRbg8tlxN033HgiMJVISfql+6Yzayh6ewv8bLlwDHeXrFL7t/AHOSpreT//XsDhreOrQV13Dl7KA98exIAzvIj8ryGU37GoW+g1zBZZE6hEtgwZOXOlvgEdi2CjQtlzZ8iMwKr+GDTx9SavYITesOEa2DURVIraA6tCUQkbRICQogdQohd7TUYTfejNiYDJt4gJ/bm6DUE5n8ECelmZ69mhIC9uUrRPqvsRKhRRR65GvcJgYa295QsaQ7Z+7mcoNMGybIYZi2gEf178+xNUxk7uC+pLjf/WroDgC/3VVDn9lJUUcuK3Gpqqir4zzo5Ad961hh+eeGpJCaamlFNqfyuKdkyKevAMikM7ShNIC5VRiK1RBMoz5cmr5KDVhjuyQNNZ2P7qphmwqDT4NqFjf83gRh/FUy7LfSxaboFnRUiKoDPDMMQwDNCiGeD7WgYxp3AnQCZmZnk5OS06gMrKipafWxX0S3HXFVNTuqVsPUIcCTk44YU1zCgPJ+lS76U8ecB6F2wDFXBZv+6L3DVlzIAOLF/C9tC+D853ZXMBg6XehgI1HkE3+T8//bOP0iq6srjnzO/mWFgmGGAYfg1IBhnjAyIIIEkGIwRSkFdd0vX3egaY7lZtzRb2ZQuW9nU7v6xiZXs1tam1koqJsa4YlJKZKNRUUHXJKKiwy9/woACDoMwgzAOvwbu/nHvm37d9Osf04/+MX0+VVP93u3X/U7fevO+75xz7z0bovp5RsUsmnf/lhIzwK7eMzSaKrzA1ot/eBVTUkbr8ROMKz/ObRcY6ISfbOzmW28+Tf8pwzfkOAvKTvLPlwAd0NW1n00bNjCm5z1mu+/Z23uMGkYx+p2nKTGn2HJsHD0++6s//ZD5QD8j6D/cR+WJg2yK+X1B18ai3j2UA1tf+DXN+zZRD3Cyj9+ve4JTFXHG+wOjD7/FHGBz5356Dyfvxwi1wBxI8RotyOu5CG1OKgIi8hwQb/HyVcaYJ+K0x2OxMWafiIwD1onIO8aYuD69E4gfA8ybN88sWbIkxVNEs2HDBob62VxRVDZXvQ0fPsaSBe3BSxG/9Dq8BVTVMX20gSN2WYXGqoHUznm0G16GKW0LYM8aKiqrWbJkSbTNkw089BsAWuZ8Ed7cA59+AFLCFy9basfHH/4VdH7AiksvgE74+6vmcN+2WhpGVvDn9Z+h5BXD1QtboQNmtbUzq30J7C6HLfYUk2a1Q+8Y6NgKpRVcdPVfR5ZdADi4A16D6rGTqR41EboPn/X74vbzqWOwoQ+Az44rhT29gzWRF10wESbPj98v2w9DB8z+3OU2VHWOKKrrOYdkanNSETDGXJ7smBS+Y597PSAia4D5pJZHUIYr/gXcgkSgdxfUjLMFano6I4lPr/hKMrywSmWtnegUb2jjlIWResB1U+x8BrBt3sqd3jwBlwCeO6OZRz7nRtVsdOMcvOUhYoaIAjbE5IVnpiyMFgCIhGKqG1xFshTDQf5+6OqwZTTbroXtj9tQWpAIeKU2/cNUlaLlnA8RFZEaEan1toErsAllpZip8UQgQXy/Z7fNI9S32Pq7fd12NM7R/TYRmgwvweoVPimJ88xTXgXTFtvtuimRNf79N3FvnoA3a7giZsYw2FU5wbd2kC+BWjPWfjfAeUvPtsFLWFfXR2Yap4LXd+XVsHM9YGDGZYAkHiHU121DcNUNqZ1HGdZkOkT0WhHZCywEnhSRZ1z7RBF5yh02HnhZRDYDrwJPGmOezuS8yjBgcD3/BMnh3l0wpsWuL3TShj2YusgWsPeKuifCu5mWVbk6CAGTnOb8BTTPsyNz/J6AR3mN9RS8SWHlMZPFAPoPRe9HeQJj7VN5w3lwwYqzz+/ZVd3gvJIURwd5ax1NXRTpn3FtdqnvniQiUD02es6EUrRklBg2xqwB1sRp/whY7rY7YTBHpigWLxwUNEzUW4a5vsUOqfSY8SXYsc56A94NOwi/CNQ0WvGIR9s19g8iT8exngBEhCd22QjweQK+ZSM8qhuskP3tpvjnL3PDbGsa7fek6gl44SCvTwAaplvhTOgJfKyhIGUQnTGs5Iaq0bYerxfS6O+BH7bZ4ZrgVt009oZWP922VY6CZrfMWyp5gUERqISl34Fl9yX/TFxPwN30vVh67AJy4MsJxPEEkolV1Wi4/mfQfpMVrNMnUiu4c7TL1kSYutDujxhj/+qnQe/uyHHP/wv88vrIfl939GQ1pahREVByg0j0rOFdL8KRvS62TeRJ1ssJgK12Vetm/x7tIimDtYJHwIQLIzfLRATlBMA+pZdVRZfRrEjmCUikFnEiLrwukhOA1LyBo/vt8hONn7Hn8TymMS32Ru+Fr3ass399TsRiKpspxY2KgJI7Ro6LeAKdG+zrATshazCmPabF3mgbL4DJCyI3r3Q9gVQZ9AR8IuCP+/u9AIjsezkBLzxUVoktJl+fXuzdO2+qIjByghWeie1uQTgiotmzC86cthXdwAqtMTYEN7IxdZuUYY3WE1ByR91Uu7T0wEmfCLhZwfu3woj6yE3568/b0EdpuX2yTscTSGe9m8GcQJxwUP+hs4d3DoaDDkXvi7iEdJJQUCyeB5JKcvjofmg8327f8lRk9FOjqw/cvc1VOHOC0rnBHn/6pO17RUFFQMklc26yY9p//x82hl03xeYC+ntg76v2yd8bq++/+dY2peYJeKt7puMJjKg/+zOD4aCPI+97DIaDPo4+1vuOZPmAWNL1BKYvcXb4PJTG823+ZM/GiIDVTXFCa2zbhdelZ5cybNFwkJI7Ziy1E8E2/JvdX3CHff3gD3adHV8ZyyhqJ0BfOuGgNDyB0jLracRLDPf3nL2Amv+90sro0E/5iOCJcEEM5gSSeAInP7VVvmrjTOYvKbUV3fa85jwrgfm328lkHY/YReNSyVMoRYGKgJI7ROyN35y2T/etbpjmG7+wr5MCZrym6gkMJRwEsOgu+KxvNI13ozeng8NB5nT00zjY39aeZh1ez9ZkJSa93+8lymOZPB8ObLfLbte3wPnLI3Z6YqsoaDhIyTWzb4AX/hVmftlOcqoabUeySGlkOGgstRMis4ZLEjzHDMUTAFj8zej9ePkBj5LSSNw99r3Fd6d3XvCFg5J4Al5CPZ4nAFYEzBnoXG8FoN7NHxg7M5JHUBRUBJRcU1EDd7wMVaOsZzCuFT78IzTNPvup22PkBPtE238w8Xj3geOAZF4OMd68gNj3B46Hs9Z+qjkBLzEeJALNrmyHOWP7VAT+6ndneytK0aPhICX3jG6OlKf0yh0GhYIgcuNLNkJo4Li9qXrJ5aESVUQmjjANThAL4QabqifghYOCxvuPqItUCxvnRguNaoouZqMoqAgo+YZ3wwpaARPs8goQmaAVxMCJ6ElfQyXKE4hzo68IUwRSnCz26UE7JDRRgneSS6yPbws+Ril6NByk5Bczv2yHPc6Is9qmhzeWvz/JInKeJ5AppeX2hntmIDgcBNkNB/Ufsv2QyMuZfaMt0elfe0lRYlARUPKLMdPgq0lqFQ2KwKHEx506nt4cgUSUV8OJI+c+HFSepggkYtoi+6coCdBwkFJ4jKgDJLkIhOUJQOIbvRcOCiPpmmpOoL9H6wEooaAioBQeJaV2ElZSETgRogi4UE9CTyCMcFCKOYFUPAFFSQEVAaUwqW6ILN8cxDnxBBLlBML0BJKJwEEVASUUVASUwqS6IYXE8IkQcwJe7eBEo4NC8ARKymzpx0R1hs+ctglfFQElBFQElMKkuiGFcNCx8DyBwbh/onBQwOS2dBBxJSYTiMDxT+wkMBUBJQRUBJTCJNWcQBjzBCDFcFAIngC4YvMJEsPe71YRUEJARUApTDxPIFEZxlBzAl44KM7TfpjhIIiuARCPQRFIc4VSRYmDioBSmFSPtZO3ThwJPibUnECCYaCeMISRGAbnCaQgAunWKlCUOKgIKIWJFwpJtHTEqRBzAolCPmHOE/DOkUgEvN+s4SAlBFQElMIklaUjzsnooHiJ4QQjh4ZCqjmB2CpnijIEVASUwiTZ0hHGuJxASHH6lMJBWcwJlFfrstBKKOjaQUph4iVFg0Tg9CnAhOcJtK5wC8jFufFOuRTm3QoT54RzrrLKxJXFdMkIJURUBJTCJJknMNSqYkGMbwteknlEHVz17+GcB6zNicJc/Yd0ZJASGhoOUgqTyloorYgWgd98AzY9aLcHRSAkTyCblFVF5wR++00m7nsyst9/yI6OUpQQUBFQChOR6FnDfR9Dx8Ow5VG774lAWHH6bOLPCQycgDceonnf05H3dfE4JURUBJTCxS8Cu1+yr11bbAF670k6rHBQNvGPDureDmdOUdP/IfQdsG0qAkqIqAgohYt/6YhdTgROHoWencMgHOTs7+qItO96CQZO2glyKgJKSKgIKIWL3xPY9RLUTbXbH3VEVuEsWE/A2f9RB1TVMVBaY3/jMZcw1sSwEhIqAkrh4onA4T3Q0wmXfA1KK+3Tc9ijg7KJN2PYGPtbJrZzuK7NioAuHqeETEYiICL3icg7IrJFRNaISF3AcVeKyLsiskNE7snknIoyyKhmu67+/95l92cshQkXQtfmSMGZQk0MAxztgu63oKmd3jEXQe8uWPdP9r1RzbmzTxlWZOoJrAMuNMZcBLwH3Bt7gIiUAj8ClgGtwI0i0prheRUFLrkNWq+Bnc/bIZPjWqGp3YrA//0ARk8OHtufz8z6ii0s89jX4cwp5wlcZN/b+QIs+QeYNC+3NirDhowmixljnvXtvgJcH+ew+cAOY0wngIisBlYCb2VybkWhahT86c/h7bV2zkBJCTTNhtd/Cvu3wvUPFKYnML4N5t4Mm35m95tm8+mBD2DZffbm3zw3t/Ypw4owZwzfCjwap70Z2OPb3wssCPG8SjEjAq0rI/sT2+3rlIXQdl1ubAqDL/0jbHscBBjTAvIhLLg911YpwxAxiYpyACLyHDAhzlurjDFPuGNWAfOA60zMF4rI9cCVxpjb3P5fAguMMXcGnO924HaA8ePHX7x69er0fpGjr6+PkSNHDumzuUJtDgFzmumdv6SraSnHqifFPSTvbA6g4eBGKk5+QtfEKwrGZj9qc3aItfmyyy7bZIxJPV5ojMnoD7gF+CNQHfD+QuAZ3/69wL2pfPfFF19shsr69euH/NlcoTZnB7U5O6jN2SHWZuB1k8Y9PNPRQVcC3wZWGGP6Aw57DZgpIi0iUgHcAKzN5LyKoihKOGQ6Oui/gFpgnYh0iMj9ACIyUUSeAjDGDAB3As8AbwO/MsZsz/C8iqIoSghkOjrovID2j4Dlvv2ngKcyOZeiKIoSPjpjWFEUpYhREVAURSliVAQURVGKGBUBRVGUIkZFQFEUpYhJOmM4l4jIx8AHQ/z4WOBgiOZkA7U5O6jN2UFtzg6xNk81xjSm+uG8FoFMEJHXTTpTp/MAtTk7qM3ZQW3ODpnarOEgRVGUIkZFQFEUpYgZziLw41wbMATU5uygNmcHtTk7ZGTzsM0JKIqiKMkZzp6AoiiKkgQVAUVRlCJm2ImAiFwpIu+KyA4RuSfX9sRDRCaLyHoReUtEtovIXa79uyKyzy3L3SEiy5N9VzYRkd0istXZ9rprqxeRdSLyvnsdk2s7PUTkfF9fdojIERG5Ox/7WUQeEJEDIrLN1xa3b8Xyn+4a3yIiWS86HGDvfSLyjrNpjYjUufZpInLM19/3Z9veJHYHXg8icq/r53dF5Ct5ZPOjPnt3i0iHa0+/r9OpQJPvf0ApsBOYDlQAm4HWXNsVx84mYK7brgXeA1qB7wLfyrV9CezeDYyNafs+cI/bvgf4Xq7tTHBt7Aem5mM/A18A5gLbkvUtdpn232ErEF8KbMwTe68Aytz293z2TvMfl4f9HPd6cP+Tm4FKoMXdW0rzweaY938AfGeofT3cPIH5wA5jTKcx5iSwGliZ5DNZxxjTZYx5w20fxRbbac6tVUNmJfCg234QuCaHtiRiKbDTGDPUGejnFGPMS0BPTHNQ364EfmEsrwB1ItKUHUst8ew1xjxrbBEpgFeA+EWec0hAPwexElhtjDlhjNkF7MDeY7JKIptFRIA/Ax4Z6vcPNxFoBvb49veS5zdXEZkGzAE2uqY7nTv9QD6FVhwGeFZENonI7a5tvDGmy23vB8bnxrSk3ED0P0o+97NHUN8WwnV+K9Zb8WgRkTdF5EUR+XyujEpAvOuhEPr580C3MeZ9X1tafT3cRKCgEJGRwGPA3caYI8B/AzOAdqAL6+blE4uNMXOBZcDfiMgX/G8a64/m3ZhjsbWtVwC/dk353s9nka99Gw8RWQUMAA+7pi5gijFmDvB3wP+IyKhc2ReHgrsefNxI9MNN2n093ERgHzDZtz/JteUdIlKOFYCHjTGPAxhjuo0xp40xZ4CfkAPXMxHGmH3u9QCwBmtftxeKcK8HcmdhIMuAN4wx3ZD//ewjqG/z9joXkVuAq4CbnHDhwimH3PYmbGx9Vs6MjCHB9ZC3/QwgImXAdcCjXttQ+nq4icBrwEwRaXFPfzcAa3Ns01m4ON5PgbeNMT/0tfvjutcC22I/mytEpEZEar1tbBJwG7Z/b3aH3Qw8kRsLExL1tJTP/RxDUN+uBb7qRgldCnziCxvlDBG5Evg2sMIY0+9rbxSRUrc9HZgJdObGyrNJcD2sBW4QkUoRacHa/Wq27UvA5cA7xpi9XsOQ+jrbme4sZNKXY0fb7ARW5dqeABueKgpLAAAAu0lEQVQXY137LUCH+1sOPARsde1rgaZc2+qzeTp2pMRmYLvXt0AD8DzwPvAcUJ9rW2PsrgEOAaN9bXnXz1iR6gJOYWPPXwvqW+yooB+5a3wrMC9P7N2BjaF71/T97tg/cddMB/AGcHWe9XPg9QCscv38LrAsX2x27T8H7og5Nu2+1mUjFEVRipjhFg5SFEVR0kBFQFEUpYhREVAURSliVAQURVGKGBUBRVGUIkZFQFEUpYhREVAURSli/h+JGxGeNlmaGQAAAABJRU5ErkJggg==", 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", "text/plain": [ "
" ] diff --git a/examples/tfest_example.ipynb b/examples/tfest_example.ipynb index 07ab106..3e973c4 100644 --- a/examples/tfest_example.ipynb +++ b/examples/tfest_example.ipynb @@ -16,7 +16,7 @@ "metadata": {}, "outputs": [], "source": [ - "!pip install tfest" + "# !pip install tfest" ] }, { @@ -29,8 +29,8 @@ "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", - "# import os\n", - "# os.chdir(\"..\")\n", + "import os\n", + "os.chdir(\"..\")\n", "import tfest\n", "\n", "from scipy import signal" @@ -121,7 +121,8 @@ } ], "source": [ - "t = np.linspace(0, 5, num=50)\n", + "time = 5\n", + "t = np.linspace(0, time, num=50)\n", "u = np.ones_like(t)\n", "tout, y, x = signal.lsim(s1, u, t)\n", "plt.plot(t, y)\n", @@ -144,7 +145,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -158,39 +159,39 @@ "output_type": "stream", "text": [ "Optimization terminated successfully.\n", - " Current function value: 0.416816\n", - " Iterations: 50\n", - " Function evaluations: 90\n" + " Current function value: 177248770057.832336\n", + " Iterations: 63\n", + " Function evaluations: 121\n" ] }, { "data": { "text/plain": [ - " final_simplex: (array([[ 1.13101523, -0.00299171, 1.13830353],\n", - " [ 1.13139258, -0.00200276, 1.13867963],\n", - " [ 1.13035032, -0.00184041, 1.13763013],\n", - " [ 1.13110255, -0.00324892, 1.138406 ]]), array([0.41681607, 0.41685455, 0.41690152, 0.4169135 ]))\n", - " fun: 0.41681607084597116\n", + " final_simplex: (array([[1.59645729, 0.59621439, 0.89272575],\n", + " [1.59644763, 0.59621012, 0.89270816],\n", + " [1.59639469, 0.59619117, 0.8926913 ],\n", + " [1.59641896, 0.59619474, 0.89269228]]), array([1.7724877e+11, 1.7724877e+11, 1.7724877e+11, 1.7724877e+11]))\n", + " fun: 177248770057.83234\n", " message: 'Optimization terminated successfully.'\n", - " nfev: 90\n", - " nit: 50\n", + " nfev: 121\n", + " nit: 63\n", " status: 0\n", " success: True\n", - " x: array([ 1.13101523, -0.00299171, 1.13830353])" + " x: array([1.59645729, 0.59621439, 0.89272575])" ] }, - "execution_count": 10, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "te.estimate(nzeros=0, npoles=1, method=\"h1\", time=5)" + "te.estimate(nzeros=0, npoles=1, method=\"h1\", time=time, options={'xatol': 1e-4, 'disp': True})" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -203,13 +204,13 @@ "data": { "text/plain": [ "TransferFunctionContinuous(\n", - "array([0.8439614]),\n", - "array([1. , 1.06133686]),\n", + "array([2.67765644]),\n", + "array([1. , 1.49732339]),\n", "dt: None\n", ")" ] }, - "execution_count": 21, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -220,7 +221,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -232,7 +233,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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", 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2hu+lSjBrUq8Gk647mb+f04rZq3Zw+n9n8s63m3RUL+Jnvh7Jfwq0cc61A1YAdwKYWStgINAa6A88Y2Z67FAVF+YxhvZK46ObT6FZQk3+NHEhw19bwM79hwNdmkjI8inknXOfOOeOXCM3B0jxvh8ATHDOHXLOrQFygK6+7EtCR6O6MUy67mT+2r8F07K3ccZjM5mxYnugyxIJSeXZJ381MNX7PhnYUGTeRu80EaDwqP6GzCa8O6In8dUjGTRuLv+cslRDGYuUsxKfDGVm04DEYmaNdM69611mJJAHvHqiBZjZMGAYQEJCAllZWSe6CQByc3PLvK4E1q3tHG+sCOeFL9fy6aJ13NAhmuQale+aALUx8Sd/tS/z9cSXmQ0GrgNOdc4d8E67E8A5d7/388fA3c65r463rYyMDDdv3rwy1ZGVlUVmZmaZ1pXK4fPl27ht0iL2H87jX+e14fcZKZhZoMv6hdqY+JMv7cvM5jvnMoqb5+vVNf2B24HzjgS813vAQDOLMrM0IB2Y68u+JPT1bV6fqTf3ptNJtbn9rcXcPGGhhkUQ8ZGvv4mfAmoCn5rZQjMbBeCcWwpMArKBj4Dhzjl1tkqJ6sdG8/LQbtx2ejPeX7yZ856axfIf9gW6LJGg5evVNU2dc6nOuQ7e1/VF5t3rnGvinGvunJt6vO2IFBXmMUb8Lp3Xru3OvoN5DHh6Fm/O3xjoskSCUuU7uyXi1b1xHT64qRcdUuO47Y1FjJz8HYfy9INQ5EQo5KVSq18zmleGduP6Pk149ev1XDp6joZEEDkBCnmp9MLDPNxxZgue/UMnVm7dx7lPzmLump2BLkskKCjkJWic2TaJd0f0JDY6gsufm8OrX68LdEkilZ5CXoJK0/o1mTy8Jz2b1mXk5CWMnPwdh/MKAl2WSKWlkJegU6taBOMGd+G6Po159ev1XDXua3Yf0CBnIsVRyEtQCvMYd57Zkkcvac+Cdbs5/+kvWbU9N9BliVQ6CnkJahd2SuG1a7ux72AeFzz9JbNzdgS6JJFKRSEvQS+jUTzvDO9JYq1orho3VzdOiRShkJeQkBpfnTdv6EH3xnW47Y1FPPrJcj11SgSFvISQ2OgIXhjShUsyUnhieg63TlqkK2+kyitxPHmRYBIR5uHBi9qRUrs6j366gu25h3j2is7UiFJTl6pJR/IScsyMm05N56GL2zF71Y9cMuortu09GOiyRAJCIS8h65KMVMYOymDtj/u5aNRs1u7YH+iSRCqcQl5CWmbz+rx+bXf2H8rn4lGzWbJpT6BLEqlQCnkJee1T43jj+pOJCg9j4Jg5zF6la+ml6lDIS5XQpF4N3rqhBw3iohn8wjd8mr010CWJVAhfn/F6j5kt9j767xMza+Cdbmb2hJnleOd3Kp9yRcousVY0E4edTMukWK5/ZT6Tv9VNUxL6fD2Sf9g518451wF4H/g/7/QzKXx4dzowDHjWx/2IlIvaMZG8ek03uqXF8+eJi3h5joYrltDm6zNe9xb5GAMcucVwADDeFZoDxJlZki/7EikvNaLCGTe4C/1aJvD3d5YwZuaqQJck4jc+3yFiZvcCVwF7gL7eycnAhiKLbfRO21LM+sMoPNonISGBrKysMtWRm5tb5nWlahqY6ti7K4z7PlxG9opVDGgSgZkdc3m1MfEnf7WvEkPezKYBicXMGumce9c5NxIYaWZ3AiOAf5xIAc65McAYgIyMDJeZmXkiq/8iKyuLsq4rVVffTMftby7mrQUbSUhO5Y7+LY4Z9Gpj4k/+al8lhrxzrl8pt/Uq8CGFIb8JSC0yL8U7TaRSCfMYD1/cjugID6NnrCYv3/G3s1se94heJJj41F1jZunOuZXejwOAZd737wEjzGwC0A3Y45z7TVeNSGXg8Rj/Pr8NEWEexs5aQ36B4x/ntlLQS0jwtU/+ATNrDhQA64DrvdM/BM4CcoADwBAf9yPiV2bGP85tRUSY8dwXa/g5v4B7BrTB41HQS3DzKeSdcxcdY7oDhvuybZGKZmbcdVZLwjweRs0ovOJGQS/BTuOvihRhZvy1f3PM4NksBb0EP4W8yFHMjNvPaA78L+j/fX6bQJYkUmYKeZFiHAl652DUjFWEe4zMWD1OUIKPQl7kGI503eQXFPDcF2vY0jCczEynq24kqGgUSpHjOHIydkjPRnyyLo8Hpi7TA8IlqCjkRUpgZvzfOa049aRwRs9czX+nrSx5JZFKQt01IqVgZvyhZSR16yfxxGcriQr3MLxv00CXJVIihbxIKXnMuO/CthzMy+fhj5cTFe7hmt6NA12WyHEp5EVOQJjHeOT37TmcV8C/P/ie6pHhXN7tpECXJXJM6pMXOUHhYR4eH9iRzOb1GPnOd7zzrcbek8pLIS9SBpHhHkZd0ZluafHc+sYiPl76Q6BLEimWQl6kjKIjwnh+UBfaJtfixte+5YuV2wNdkshvKORFfFAjKpyXhnSlcb0Yho2fz/x1uwJdksivKORFfFSregTjh3YlITaKIS/MJXvz3pJXEqkgCnmRclC/ZjSvXNONmKhwrhr3NWt27A90SSKAQl6k3KTUrs7LQ7tR4OCK57/mhz0HA12SSPmEvJndambOzOp6P5uZPWFmOWa22Mw6lcd+RCq7pvVr8NKQruz56WeuHPs1u/YfDnRJUsX5HPJmlgqcDqwvMvlMIN37GgY86+t+RIJF25RaPHdVBut2HmDwi9+Qeygv0CVJFVYeR/L/BW4Hig7NNwAY7wrNAeLMLKkc9iUSFE5uUoenL+/Ekk17uP7l+RzKyw90SVJF+RTyZjYA2OScW3TUrGRgQ5HPG73TRKqM01ol8NBF7ZiVs4NbJi4iv0BDFEvFK3HsGjObBiQWM2skcBeFXTVlZmbDKOzSISEhgaysrDJtJzc3t8zripRGWdpYHWBg80gmfLeF/bu3M6hVpB46IsXyV4aVGPLOuX7FTTeztkAasMjbaFOABWbWFdgEpBZZPMU7rbjtjwHGAGRkZLjMzMwTKP9/srKyKOu6IqVR1jaWmQnxHy3jmaxVtE1vxK2nNy/32iT4+SvDyjwKpXPuO6D+kc9mthbIcM7tMLP3gBFmNgHoBuxxzm3xtViRYPWXM5qzc/9hnpyeQ52YSAb3TAt0SVJF+Guo4Q+Bs4Ac4AAwxE/7EQkKZsa/z2/Dzv2HuXtKNrVjIhnQQaepxP/K7WYo51wj59wO73vnnBvunGvinGvrnJtXXvsRCVbhYR6euKwjXdPiuXXSImau0IBm4n+641WkAhWOXJlB0/o1uP6V+SzcsDvQJUmIU8iLVLDY6AjGX92VOjUiGfLCXFZtzw10SRLCFPIiAVA/NprxV3fDY8ZVY+dqnBvxG4W8SICk1Y3hpau7svvAYQaNm8ueAz8HuiQJQQp5kQBqk1yLMVdlsHpHLteM/4aDP2v4AylfCnmRAOvZtC7/vbQD89btYsRr35KXXxDokiSEKORFKoFz2jXgH+e0Ytr3W/nbO0twTuPcSPnw181QInKCBvdMY0fuYZ76PId6NaM0/IGUC4W8SCVy6+nN2L7vEE9Oz6FujSgG9WgU6JIkyCnkRSoRM+PeC9qw88Bh7p6ylPiYSM5t3yDQZUkQU5+8SCUTHubhycs6ktGwNrdMWsislTsCXZIEMYW8SCUUHRHG81d1oXHdGlz38jy+27gn0CVJkFLIi1RStapHMH5oV+KqRzL4hbms2bE/0CVJEFLIi1RiCbHRjB/aFQdcOfZrtu3V8AdyYhTyIpVck3o1eGFwF3buP8xV4+ay5ycNfyClp5AXCQLtU+MYfWVnVm3P5drx8zT8gZSaQl4kSPROr8cjl3Tgm7U7ufF1DX8gpeNTyJvZ3Wa2ycwWel9nFZl3p5nlmNlyMzvD91JF5Lz2Dbj73NZ8mr2VuyZ/p+EPpETlcTPUf51z/yk6wcxaAQOB1kADYJqZNXPO6TemiI8G9WjEj/sP88RnK6kdE8mdZ7YMdElSifnrjtcBwATn3CFgjZnlAF2Br/y0P5Eq5c/90vkx9xCjZ6ymTkwkw05pEuiSpJIqj5AfYWZXAfOAW51zu4BkYE6RZTZ6p/2GmQ0DhgEkJCSQlZVVpiJyc3PLvK5IaVS2NnZqnGNFYhj3fbiMretX0zslItAliQ/81b5KDHkzmwYkFjNrJPAscA/gvH8+Alx9IgU458YAYwAyMjJcZmbmiaz+i6ysLMq6rkhpVMY21rN3Pte8NI8Xlu6ga8e2nNG6uP9VJRj4q32VeOLVOdfPOdemmNe7zrmtzrl851wB8ByFXTIAm4DUIptJ8U4TkXIUFR7GqCs60z41jhtf+5bZORrnRn7N16trkop8vABY4n3/HjDQzKLMLA1IB+b6si8RKV5MVDgvDO5Co7rVuXb8PBZt2B3okqQS8fU6+YfM7DszWwz0Bf4M4JxbCkwCsoGPgOG6skbEf+KqR/Ly0G7E14hk0AtzWbF1X6BLkkrCp5B3zl3pnGvrnGvnnDvPObelyLx7nXNNnHPNnXNTfS9VRI4nITaaV4d2JzLMwxXPf836Hw8EuiSpBHTHq0gIOalOdV4e2o1DeQVcMfZrtmpAsypPIS8SYpon1uSlq7vyY+4hrnj+a3buPxzokiSAFPIiIahDahzPD+rC+p0HGDRuLnsPauTKqkohLxKiTm5Sh1FXdOb7LXsZ+uI3HDicF+iSJAAU8iIhrG+L+jw+sCPz1+1i2Pj5GqK4ClLIi4S4s9sl8dDF7ZmVs4M/vrqAw3kaorgqUciLVAEXd07h3+e3Yfqybfxposair0r8NQqliFQyV3RvyMGf8/n3B98TEbaIRy/pQJjHAl2W+JlCXqQKuaZ3Yw7lFfDwx8uJCPPw0EXt8CjoQ5pCXqSKGd63KYfzCnj8s5VEhHm49/w2CvoQppAXqYL+1C+dn/MLeCZrFWEeuGdAG8wU9KFIIS9SBZkZfzmjOfkFjtEzV+Mx45/ntVbQhyCFvEgVZWbccWYLCpzjuS/W4DHjH+e2UtCHGIW8SBVmZtx1VksKHIydtQZAQR9iFPIiVZyZ8bezW+IxeO6LNeQVFPCv83QyNlQo5EXklyN6j8cYPWM1+QXoqpsQ4fMdr2Z2o5ktM7OlZvZQkel3mlmOmS03szN83Y+I+JeZcUf/Fgzv24TX567n9rcWk1/gAl2W+MinI3kz6wsMANo75w6ZWX3v9FbAQKA10ACYZmbN9AhAkcrNzLjt9OaEezw8/tlKDucV8Mgl7YkI0wgowcrX7pobgAecc4cAnHPbvNMHABO809eYWQ7QFfjKx/2JiJ+ZGX8+rRnREWE8+NEyDuXl8+RlnYgMV9AHI19DvhnQ28zuBQ4CtznnvgGSgTlFltvonfYbZjYMGAaQkJBAVlZWmQrJzc0t87oipVHV2lhL4PIWkby2dCsXPfYJIzpGERWmPnp/8Vf7KjHkzWwakFjMrJHe9eOB7kAXYJKZNT6RApxzY4AxABkZGS4zM/NEVv9FVlYWZV1XpDSqYhvLBNrOXc9dk79j7Mpoxg7OoGZ0RKDLCkn+al8lhrxzrt+x5pnZDcDbzjkHzDWzAqAusAlILbJoineaiASZy7qeRExUOLdMXMgfnv+aF4d0JT4mMtBlSSn52sn2DtAXwMyaAZHADuA9YKCZRZlZGpAOzPVxXyISIOe1b8DoKzuz7Id9XDL6K7bs+SnQJUkp+Rry44DGZrYEmAAMcoWWApOAbOAjYLiurBEJbqe2TGD81V35Yc9BLn72K1Ztzw10SVIKPoW8c+6wc+4K51wb51wn59z0IvPudc41cc41d85N9b1UEQm07o3rMGFYdw7l5fP7UV+xeOPuQJckJdA1USJyQtok1+KN63tQPTKMgWPmMGPF9kCXJMehkBeRE5ZWN4a3b+hBozoxDH3xG95esDHQJckxKORFpEzqx0Yz8brudE2L55ZJi3gmK4fCC+2kMlHIi0iZ1YyO4IUhXTivfQMe+mg5I99ZQl5+QaDLkiI0CqWI+CQqPIzHLu1Acu1qPJu1ii27f+KpyzsRE6V4qQx0JC8iPvN4jL/2b8F9F7Rl5sod/H6UrqWvLBTyIlJuLu92EmMHZbB+5wHOf/pLvtu4J9AlVXkKeREpV5nN6/PWDT0I97YESawAAArXSURBVHi4ZPRXfLRkS6BLqtIU8iJS7pon1uSd4T1pnliT619ZwBOfrdSVNwGikBcRv6hXM4oJw7pzYcdkHv10BSNe+5YDh/MCXVaVo9PfIuI30RFhPHJJe1ok1eT+qctYs2M/o6/sTGp89UCXVmXoSF5E/MrMGHZKE8YN7sKGXQc496lZfLFSQyFUFIW8iFSIvs3rM2VEL+rXjGLQuLmMmrFK/fQVQCEvIhWmUd0YJv+xJ2e2SeKBqcu47uX57D34c6DLCmkKeRGpUDFR4Tx1eUf+dnZLPlu2jfOenEX25r2BLitkKeRFpMKZGdf0bsyEYd05cDifC575kglz16v7xg8U8iISMF0axfPBTb3pmhbPHW9/x80TFpJ7SJdZliefQt7MJprZQu9rrZktLDLvTjPLMbPlZnaG76WKSCiqVzOKl4Z05bbTm/H+4s2c88QXeuJUOfL18X+XOuc6OOc6AG8BbwOYWStgINAa6A88Y2ZhvhYrIqHJ4zFG/C6dCcNO5lBeARc+M5tRM1ZRUKDuG1+VS3eNmRlwCfC6d9IAYIJz7pBzbg2QA3Qtj32JSOjqmhbP1Jt7c1qrBB6Yuoyrxs3lhz0HA11WUCuvO157A1udcyu9n5OBOUXmb/RO+w0zGwYMA0hISCArK6tMBeTm5pZ5XZHSUBurOJckOxJdJK8u28Gp//mMK1tF0T0ptG/Q91f7KvFvzcymAYnFzBrpnHvX+/4y/ncUf0Kcc2OAMQAZGRkuMzOzLJshKyuLsq4rUhpqYxWrLzBox37+PGkhoxbtZhN1uGdAa+KqRwa6NL/wV/sqMeSdc/2ON9/MwoELgc5FJm8CUot8TvFOExEptUZ1Y3jjupN5NmsVj3+2kjmrf+S+C9pyWquEQJcWNMqjT74fsMw5V/Rx7e8BA80syszSgHRgbjnsS0SqmPAwDzeems47w3tSJyaSa8fP45aJC9l94HCgSwsK5RHyAzmqq8Y5txSYBGQDHwHDnXP55bAvEami2iTX4r0Rvbjp1HTeW7SZfo/O4IPFW3QDVQl8Dnnn3GDn3Khipt/rnGvinGvunJvq635ERCLDPdxyWjPeG9GLpFrVGP7aAq57eb6eJ3scuuNVRIJOqwaxTP5jD+46qwUzV26n3yMzGDdrDfm6rv43FPIiEpTCwzwMO6UJn/ypDxmN4vnX+9kMeHoWCzfobtmiFPIiEtROqlOdF4d04enLO7Ft7yEueOZL7nhrMTv368QsKORFJASYGWe3S+KzW/twTa803py/kb7/yeKl2WvJyy8IdHkBpZAXkZBRMzqCkWe3YurNvWmTHMs/3lvKmY9/wcwVVfdxgwp5EQk56Qk1eWVoN8Zc2ZnD+QVcNW4uQ16Yy4qt+wJdWoVTyItISDIzTm+dyCd/PoW7zmrBvHW76P/YTO54azFb91adQc8U8iIS0qLCwxh2ShNm/qUvg3uk8daCjfR5+HMemLqMPQdC//myCnkRqRJqx0Tyf+e2YtotfejfOpHRM1fR+6HpPP15DvtD+GlUCnkRqVIa1onhsYEd+fCm3nRpFM/DHy+n90OfM3rGKg4cDr2wV8iLSJXUMimWsYO7MPmPPWiTXIv7py6j94Of82zWqpB6zqxCXkSqtI4n1Wb81V158/qTadUglgc/WkbPB6bz2LQV7AqBG6oU8iIiQEajeF4e2o13hvekS6PaPDZtJT0fnM4972ezeXfwDoAW2s/TEhE5QR1S43h+UBeW/bCX0TNW8+Lstbw0ey3ntEvimt6NaZNcK9AlnhCFvIhIMVokxvLfSztw6+nNGDdrLRO/Wc87CzfTvXE8Q3qm0a9lAmEeC3SZJVLIi4gcR0rt6vzfua24uV86E+auZ/xX67ju5fmk1K7Gld0bcklGKrVjKu9zZ33qkzezDmY2x8wWmtk8M+vqnW5m9oSZ5ZjZYjPrVD7liogERq1qEVzXpwkz/pLJqCs6kRxXjfunLqPb/Z9xy6SFLFi/q1I+pcrXI/mHgH8656aa2Vnez5nAmRQ+1zUd6AY86/1TRCSohYd56N8mif5tklj2w15enbOetxds5O0Fm2iRWJOBXVK5oGMKtapHBLpUwPeraxwQ631fC9jsfT8AGO8KzQHizCzJx32JiFQqLRJjuef8Nnw9sh/3XdCWyHAPd0/Jpst907jx9W+ZuWJ7wJ9WZb78vDCzlsDHgFH4D0YP59w6M3sfeMA5N8u73GfAX51z84rZxjBgGEBCQkLnCRMmlKmW3NxcatSoUbYvIlIKamNSGuv25jNzYx5ztuSx/2eIjza6J4XTs0E4yTWPfVztS/vq27fvfOdcRnHzSuyuMbNpQGIxs0YCpwJ/ds69ZWaXAGOBfidSnHNuDDAGICMjw2VmZp7I6r/IysqirOuKlIbamJTWIOBQXj6ffb+NN+dv5OMV2/lwzc+0SoplQIcGnNO+Aclx1X61jr/aV4kh75w7Zmib2XjgZu/HN4Dnve83AalFFk3xThMRqRKiwsM4q20SZ7VNYkfuId5ftJnJCzdz/9Rl3D91GRkNa3N2uyTObJNEYq1ov9Xh64nXzUAfIAv4HbDSO/09YISZTaDwhOse59wWH/clIhKU6taIYnDPNAb3TGPdj/t5f/EW3lu4mX9OyeafU7Lp3LA23WrnkemHffsa8tcCj5tZOHAQb9868CFwFpADHACG+LgfEZGQ0LBODMP7NmV436bkbMvloyVb+OC7H9j5k39O0PoU8t4Tq52Lme6A4b5sW0Qk1DWtX4MRv0tnxO/Smf75537ZhwYoExGpBDzmnyESFPIiIiFMIS8iEsIU8iIiIUwhLyISwhTyIiIhTCEvIhLCFPIiIiHMp1Eoy5uZbQd2A3uOsUit48yrC+zwR11+drzvVJn35cu2TnTd0i5fmuVKWibU2pjaV/ktX5nbV0PnXL1i5zjnKtULGFPGefMCXXt5f9/KvC9ftnWi65Z2+dIsV9IyodbG1L7Kb/lgbV+VsbtmShnnBauK/E7luS9ftnWi65Z2+dIsV9IyodbG1L7Kb/mgbF+VqrvGF2Y2zx1j0HyR8qA2Jv7kr/ZVGY/ky2pMoAuQkKc2Jv7kl/YVMkfyIiLyW6F0JC8iIkdRyIuIhDCFvIhICKsSIW9mjc1srJm9GehaJDSYWYyZvWRmz5nZHwJdj4SW8sysSh/yZjbOzLaZ2ZKjpvc3s+VmlmNmdxxvG8651c65of6tVILdCba1C4E3nXPXAudVeLESdE6kfZVnZlX6kAdeBPoXnWBmYcDTwJlAK+AyM2tlZm3N7P2jXvUrvmQJUi9SyrYGpAAbvIvlV2CNErxepPTtq9z49CDviuCcm2lmjY6a3BXIcc6tBjCzCcAA59z9wDkVW6GEihNpa8BGCoN+IcFxsCQBdoLtK7u89husjTOZ/x1FQeH/cMnHWtjM6pjZKKCjmd3p7+IkpByrrb0NXGRmzxJ6QyFIxSm2fZVnZlX6I/ny4Jz7Ebg+0HVI6HDO7QeGBLoOCU3lmVnBeiS/CUgt8jnFO02kvKmtiT/5vX0Fa8h/A6SbWZqZRQIDgfcCXJOEJrU18Se/t69KH/Jm9jrwFdDczDaa2VDnXB4wAvgY+B6Y5JxbGsg6JfiprYk/Bap9aYAyEZEQVumP5EVEpOwU8iIiIUwhLyISwhTyIiIhTCEvIhLCFPIiIiFMIS8iEsIU8iIiIUwhLyISwv4f/z7DrROaT3MAAAAASUVORK5CYII=", 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" ] @@ -261,7 +262,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -271,9 +272,17 @@ "outputId": "0720bcb1-64d8-472a-a7af-01c5fd4e1b7e" }, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/giulio/prog/.virtualenv/ML/lib/python3.6/site-packages/numpy/core/_asarray.py:85: ComplexWarning: Casting complex values to real discards the imaginary part\n", + " return array(a, dtype, copy=False, order=order)\n" + ] + }, { "data": { - "image/png": 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", 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", 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" ] diff --git a/setup.py b/setup.py index 47356bb..a316e51 100644 --- a/setup.py +++ b/setup.py @@ -4,7 +4,7 @@ setuptools.setup( name = 'tfest', packages = ['tfest'], - version = '0.1.11', + version = '0.1.12', license="""MIT""", description = """Transfer function estimation based on frequency response.""", long_description_content_type="text/markdown", @@ -12,7 +12,7 @@ author = 'Giulio Vaccari', author_email = 'io@giuliovaccari.it', url = 'https://github.com/giuliovv/tfest', - download_url = 'https://github.com/giuliovv/tfest/archive/refs/tags/v0.1.11-alpha.tar.gz', + download_url = 'https://github.com/giuliovv/tfest/archive/refs/tags/v0.1.12-alpha.tar.gz', keywords = ['tfest', 'frequency', 'matlab'], install_requires=[ 'matplotlib', diff --git a/tfest/__pycache__/tfest.cpython-36.pyc b/tfest/__pycache__/tfest.cpython-36.pyc index 6542504c3b3ad887c0999a02748fffc4118d5b7e..c01a9227aa742b45f68ffa93aa19e2b5d7be745e 100644 GIT binary patch delta 1152 zcmZWm&u<$=6y7)cYj$?M@fu=UrC3Rt0+wi`BpfP!v{3-(Qe2?rz$&G3Gfv`o*EZvg z+C<|-#1#^U3ea2;2RI=lF1aF*xFRIfLy@+E3;Y9II2DOE8!AQ0O7DB$zW2>HGjD!= z?!og1OQjNfINWbNiVWjV>PEK-{(|drP9%tO=!54(v z%7P2FbKR&{)ja$K!O>IXCx99C(EJK!)vk32RrT1KJ!r1$1M9DZ;b6RuFl5P+j zKim6QHN7b{aJt>*UiErA%R0TyY2Myw?IhWB)=As1EeH>1F7)v0kOLPlXhw3<80J>9 z(YTS5t;N0Yyir+XEkv z@2fZ1%dn&lSPd?zFWH>`s&4+T_=R18hAR30Oo~Nap3_j)U?b$J7Q6yCkK!N(R`i#P z>JO!L*!+4nB=C_sU;flT#OhFw!ZB22y`#eDX&9^X(JCyeZuBgys86DEP6GvERec*> zw67uERli3s(mE*~q^YWvg~>}=aaqH%hN~K`skO?vt3J}9o+|~)=meWN^9<&SpjfI$ zd6c%YLDJ8X&h7cZu4cJ&oW%+%a=W*a4t7Nqxwxo)tkfV^e^hQ(v?Gog2VI5$0#YXb E0f|5c8vp%&+ZLL!JacH5|_8=ZqM3!PrJE={(n}p34nsh_a z7CjY_0TJ=k3ijl|UOjpBAb1fMQAGa$PaefL8--MyVSewo^WOW-+c&%K``(_~JRgf0 z-lkRH5p&K-Dc`x6wxrD(McYQf(V-89h2RsQHXgi&=0|PG1vpoopDs zgL#l4ZveX4XK@#L*j?!!q?sgVH$5H8Tja&^Vc}A6P2sAxgCGPzVU>8)7XmDQ3mRg? z2r?-UeQ^bG3yuj5IgnbO6kiU+6(u0P+RV$~>+X=22sKawIU{T~w9->NM8rd0`5Fcj zo^U8p+7ahSLvN_Q{vRJfpV2S_Juor?s$E7k8P$G8Y7i;5mT_2Zl>BqlUpXVtxm?2HgBSo8K_GHo2u0BvyXa)?JBETk2fp_AyDshlaWi+kSq`7tjOgVY+dcS5Q+5>^!j3<;up&$k5}U*ILHV#+q1^u#=#fM z24j@(jzzmu@kO}3_aaW9&h`@zVS|k%%Mh^r_@BeCBmov!Btd=y`_=4Z diff --git a/tfest/tfest.py b/tfest/tfest.py index 9a3a5ac..c35bdc7 100644 --- a/tfest/tfest.py +++ b/tfest/tfest.py @@ -44,21 +44,22 @@ def frequency_response(self, method="h1", time=None): if time == None: warnings.warn("Setting default time=1") time = 1 + dt = time/len(self.u) if method == "fft": u_f = fft(self.u) y_f = fft(self.y) u_no_zero = u_f[np.nonzero(u_f)] y_no_zero = y_f[np.nonzero(u_f)] - frequency = fftfreq(u_f.size, d=time/len(self.u))[np.nonzero(u_f)] + frequency = fftfreq(u_f.size, d=dt)[np.nonzero(u_f)] H = y_no_zero/u_no_zero elif method == "h1": # https://dsp.stackexchange.com/questions/71811/understanding-the-h1-and-h2-estimators - cross_sd, frequency = csd(self.y, self.u, Fs=time/len(self.u)) - power_sd, _ = psd(self.u, Fs=time/len(self.u)) + cross_sd, frequency = csd(self.u, self.y, Fs=1/dt, NFFT=len(self.u)) + power_sd, _ = psd(self.u, Fs=1/dt, NFFT=len(self.u)) H = cross_sd/power_sd elif method == "h2": - cross_sd, frequency = csd(self.u, self.y, Fs=time/len(self.u)) - power_sd, _ = psd(self.y, Fs=time/len(self.u)) + cross_sd, frequency = csd(self.y, self.u, Fs=1/dt, NFFT=len(self.u)) + power_sd, _ = psd(self.y, Fs=1/dt, NFFT=len(self.u)) H = power_sd/cross_sd else: raise Exception("Unknown method") @@ -66,7 +67,7 @@ def frequency_response(self, method="h1", time=None): self.H = H return self.H, frequency - def estimate(self, nzeros, npoles, init_value=1, options={'xatol': 1e-2, 'disp': True}, method="density", time=1): + def estimate(self, nzeros, npoles, init_value=1, options={'xatol': 1e-3, 'disp': True}, method="h1", time=None): """ npoles: number of poles nzeros: number of zeros