diff --git a/README.md b/README.md index 773970cb..cb19a814 100644 --- a/README.md +++ b/README.md @@ -3,7 +3,7 @@ `pyerrors` is a python package for error computation and propagation of Markov chain Monte Carlo data. - **Documentation:** https://fjosw.github.io/pyerrors/pyerrors.html -- **Examples**: https://github.com/fjosw/pyerrors/tree/develop/examples (Do not work properly at the moment) +- **Examples**: https://github.com/fjosw/pyerrors/tree/develop/examples - **Contributing:** https://github.com/fjosw/pyerrors/blob/develop/CONTRIBUTING.md - **Bug reports:** https://github.com/fjosw/pyerrors/issues diff --git a/examples/02_correlators.ipynb b/examples/02_correlators.ipynb index 112e50d9..02afa38f 100644 --- a/examples/02_correlators.ipynb +++ b/examples/02_correlators.ipynb @@ -28,7 +28,7 @@ "id": "e5764fd0", "metadata": {}, "source": [ - "We can load data from a preprocessed file which contain a list of `pyerror` `Obs`:" + "We can load data from a preprocessed file which contains a list of `pyerror` `Obs`:" ] }, { @@ -68,7 +68,7 @@ "metadata": {}, "outputs": [], "source": [ - "my_correlator = pe.correlators.Corr(correlator_data)" + "my_correlator = pe.Corr(correlator_data)" ] }, { @@ -114,7 +114,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -161,7 +161,7 @@ "id": "634dd613", "metadata": {}, "source": [ - "Or symmetrised" + "or symmetrised" ] }, { @@ -180,7 +180,7 @@ "id": "3d733872", "metadata": {}, "source": [ - "And we can compare different `Corr` objects by passing `comp` to the `show` method" + "We can compare different `Corr` objects by passing `comp` to the `show` method" ] }, { @@ -191,7 +191,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -376,10 +376,18 @@ "symmetrised_correlator.show([5, 20], comp=[first_derivative, second_derivative], y_range=[-500, 1300])" ] }, + { + "cell_type": "markdown", + "id": "7fcbcac4", + "metadata": {}, + "source": [ + "There is a range of addtional methods of the `Corr` class which can be found in the documentation." + ] + }, { "cell_type": "code", "execution_count": null, - "id": "ff177781", + "id": "2fbe1263", "metadata": {}, "outputs": [], "source": [] diff --git a/examples/03_pcac_example.ipynb b/examples/03_pcac_example.ipynb index c5b5aecb..ae605aaf 100644 --- a/examples/03_pcac_example.ipynb +++ b/examples/03_pcac_example.ipynb @@ -81,7 +81,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -179,7 +179,27 @@ "outputs": [ { "data": { - "image/png": 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\n", 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" ] @@ -210,7 +230,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -222,7 +242,7 @@ "`ftol` termination condition is satisfied.\n", "chisquare/d.o.f.: 0.2704765091136813\n", "Result\t 5.03431904e-03 +/- 5.38835422e-04 +/- 8.24919899e-05 (10.703%)\n", - " t_int\t 5.15384615e-01 +/- 1.25000000e-01 S = 3.00\n", + " t_int\t 5.15384615e-01 +/- 1.25000000e-01 S = 2.00\n", "64 samples in 1 ensemble:\n", " · Ensemble 'test_ensemble' : 64 configurations (from 1 to 64)\n" ] @@ -243,12 +263,12 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": {}, "outputs": [ { "data": { - "image/png": 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xtZhWuABix1OBs5wDgMcDueNpyKKFOF98reG6jngkNv1qT9SWir99bS/+ZMG0uFqTcv/LgU1D7+MhPAIBCek3skLAA0Bg09BTGP6vNbjwxUcNlfn5GdXwcStKcg3X1V/S3k/ZUKYJ7yczzpFYVgWxYJ1v23LuEKb85nu4+JWfwTNziW+/nFYCmaTXl7Kf0c8FF9aO4s0338TUqVPTXQ3KQJfVo7gWwO7du7H3s3NjLk/M+RFm5PwWt/e8iLdmfBM9JV+CPCCBA7+Oq5wVZ17HinNvxDxuz8yvYs/suwyXO7/gz/ClA82QW+6FWPuor4VO7ngaOPAmfjevGsd+s81wea7+HJzuj/zZkgBO9Q3hn1reRFnBiOFy84fnYErZ7ajuP4qW03PQMzz6w65MGsY9V5yCKLgdvzlThMFfG3ttXf05AGJ/Dxz6gxO//sx4XXVCejCj67e4FsDJD/8d+w6fgRRjH46b7PdoMss04/1k5jkCgBmDp3AHgPf2n0JPvn8Al8AYOhq3Lly4YOg4Bl9R5ObmorCwMN3VoAx0YVDr0pmSPwVTk/Qe6Ru6BugB+oquQUGRklAZp/P/DGrp6BixaReP4wb3P+Fj61/h/JR5vv1DkxUU5hqvd1/hn8I5ZSrKP38JU/xa6Abzr8C+JY+gr/gmxPMqDA8aG1Q/PHkqCgvjaX0uxAgW4AslwLVWid+eBF45BNy7BPjSnFxYxCKMAMj13oz4QoGEchRQo/RUzsgDvjB3KixxtpRf0b0T5cdewpRBrbXy9p4XcfHiW9g3/36cLr4pRu4opAfTerQB5gvlSZwvuAZIQkCXrPd9st9PZp4j3bScadr9tGkYmcbfBQpveHjY0HEMvqLIz89nyxcBAC72ncXl892+7UkXT/vuh3tHf8YnTyvGlMJZcZfvkRL7L0/Hr0ZW48jl6bhhypTEfiSmTsUwRoOskX5tDNDIjDIMF5T59htrJwjUP/VP8eG8tZjsfgtfOvrP+O2C7+Ky9XZA5MRdVknBCIDYVxyWFORj6tTEx7xdPXsEODSIq2fnY/q0xMv5Zvkw/nH3UMT0+6/Jw/Rp8X2dzjrzAZYf+imw9A5g7Q99rT/5O56C7cBPsXd5Hc7OXh13XWed+QBL3C8g3/seXXf6eQz2vYFD1gcSKs/fcJ72Xs/Nyx3zd2My30+AOefIX/6I9lnKz8/HMH8XKAK2fNGEpQ56oA7FbllR8gSUfIOtAQe3YUN/a8jur53+B8DvoqzfFFQBN37TaFUBALtODeOl/ZfQMzQbwPcAFzDj2EXcf00uVpZm2EdU5ODcVC2IOze1DIUisYDm6mILZuQJ9EQ5T8X5AlcXp2se6EArSyfhv18P73karXNxvsB9yxI4T3IES9wvAEvvCBz3tGAVxDdegdxyL5a4/wVnZ90ExPEazzrzAZbvbQwJ6PJ2PIXlexsTDuhMk6T3E2DCOSIyEd+NNO50fnYGziNnYh5nWzQbty0zOOj8qvV47XzsbqDJ0+JbvGHXqfD/rfcMSfzj7iH89+sxLn808i/14DuLL+CpTxXvHv9WPu2H8y+v7EH+pam4lJfIghjJt7J0EmxX5ODjQ0ew5PMtOLTwG7hhyaKEWigVdZ/WMrX2h2HnuhJrH0X+8xVQ1H1QZ1xrrFCTArpsksxzRGSm8fetThPe/Tlv4+/ytsY87tOcjTiF+wyVOaVwVkLdidF4pMRL+6NPefDyp5dguyJn3P14zD3xJr54ZAuWTF6FJy5/Cycxevn/HJzDpsn/hvWffYTP5Dfw2eJ701jTQBYhcNX0S9iQ8wFem/71hM9L7qUe7Y8Yc135jjPAlIDOj0dKHBzIxa9GVuPQQC5ukDIj35fJOkdEZmLwReNO98L12FV6s2/7/NkjWHfkWWxf9DCmzVrk238pN9I666nxx25P1G43AOgelPhjtwfXzBxfLRUn5t6Bs7NuwiwAP5WX8f7pM3jVJXF3mcCaK0aQI+7FLtyb9nNkFt/zijHXVTzP34yATpdVXeNEWYCfGhp3LuUVB3RV9Q1ol5b35s+H9Bt0nm69BsalxXNcKiSr9SP4HM2UIzjmGsTMknxcLBxfgWY4qlKOwSlXIC/KXFdDU0qhKuWGyzQjoAPM7RrPltY0omRj8EWUJkV5xn5kjB5nNrZ+JJHIwSHrA1i+tzHiXFeHltfFNTbLjIDOzK5xvp9oIsuMS4mIJiD9ir9oMuWKP731I7ibVG/92HXK2Nw2NOrs7NXYu7wOQ0c/Bp6vABrmA89XYOjo7sSuSvQGdDjwJuSWe4GjO4GhfuDoTm37wJs4ZP2/4gro4ukaj0ey30+5Q92Y3u/y3YoGjwEAigaPBezPHeqOURJRavDfiyj+7d/+LeZcNiUlJbj77rsD9r366qvo6oq9xMvKlStx4403+rYvXbqEF154wVDd/vzP/xylpaOLubpcLnR0dMTMN3nyZPzlX/5lwL7t27fj008/jZnXarWioiJwicwXX3wR58+fj5n3lltuwTXXjI5F6e7uRmtr6NQN4dx///2YPn26b/uTTz7BBx98EDPfjBkzcM899wTs+/Wvf41jx47FzHvddddh9erAHz+Hw2Govn/2Z3+GBQsW+LaPHj2K//iP/wh77OwpC9Az+xZtI0zLwY2Ww9jc/H7Mx5w/fz7uvPPOgH0tLS04f/owSk8N4tQf2nApVwmbd/Xq1bjuuut82wMDA3jppZd82xICznlfA3Kmhq0jMNr68cdPP8V7770Xs77Tpk3DN78ZOCXHwN530XLgWMyWvmXLlmHdunUB+37+85/j8uXLIcf2Dkn0nBhGy4FJKMoTsNvtKCsb7Xo+deoUfvWrX0V9vJyRQeSMDKL6vj9HXu5kCO8P+8HO9/DJ4Vd9x43k5GMkJ3TB7ljfEQI2LBGfYdnQ7/Fp3hdwSF4JufsTAJ8k9B2xavoN+PbI+5h5YHSG+KEppXh/5rfx/C+1cqPx/444f74fwOSoxwPAv7/xH3hv8ISh7wij76crJ/fh/7QZ+46oX5OP68780re948gw6g4MA2gMOK636Br0Fo1+D8XzHZF7SQ34LKXqOyJYTU1NwPYHH3yATz6Jfk6ByN8RPT2xxwDG+o6IpqqqCsXFo0MM9u/fn/B3RHt7O9xud8y88XxHBEvkO0L3wAMPGDoOYPAV1YULF+DxRP+PLtwM+IODgxgYGIhZ/tBQ6DgKI/kAhNRreHjYUN7c3NB5vY3WV1/Xzd/58+cN5Q2e9dfj8Rh+rlIG/nd8+fJlQ3nz8vJC9l28eNH0cxP8XKOdm7yB/Vg4OIiTc76Ey5NHA0x9bqKBT8+gM8Fzc+HCBfSfv4D8QYn+8xdw+VL4j3vwF5KUMqC+A1Pn4tKkaVEfX2/9MPo+DEdeHsSFSwPIuRw9+BocDJ2c9fz587h0KbR77MIlCc/gCC6cz0HOZZHQ+7Cg/xCm9btw48e/Rf6k0botPf5LHPhstLz+gjIMFCwJyW/kO2LnhVycVkdwRMnF5KmjgUoi78N3B6Zj+6kb8H/fMg93nd/im7zUdeAQBgZi/3D5f0eU9e8E8KWYeSad+yMGpDD0HWH0/XSo1/hn7sQVX8GlhWt82+9e2oNXdn+E8mILpk4ePWce5GHEr0yj3xEWSCyZchqLii3IzTmNTwZyUvYdEcvQ0FDC398XLlwwlDfWd0Q0if5WhWP0+zue74hgY/mtigeDryimTp0as+UrPz/0P938/PyAlppIwn3wjeQDAEvQpeSTJk0ylHfy5ND/Yo3Wd8qUKSH7pk2L/iXqXz9/FovF8HMNXtx88uTJhvKGO3dTpkwx/dwEP9dI50ZvUSkeOogrPzuEc5ZCVC9TcbL0NtywoBg5Atjh6UbRlElhW1T8hTs3U6dOhZw2FUq/wOC0qbiUG77+we8JIURAfQenGptnq3dIosjg+zDc+0ZMzsfUydMxPUbLV7jP3LRp08L+YzEyJGHJH8bUaZMwPU8k9D60TFmGwZlXovMGreXrxMAIHJ9cws2LXRi8NNpibMnJx/Qw58nId8QlcQnKoMDZaVOQO210/1jeh6fzrgTOj05emsh3xOyylZh5egTnLlkQOBebl5TIGx6Akp8LT06eoe8Io++ngRHj3xHD+cUY8H/PTu9Hb95RWIomIS/K+8nId8Sq6afw7dIDmJkzAG1RKhfOjZzGf04KnXom2d8RRuTl5SX8/T116tSwQWSwWN8R0ST6WxXuO8Lo93c83xHBxvJbFQ8R3KpAgBCiEEBva2srZs1K7txOlHp9Jw9gwx//H7x29f+HwjlL010dnysPv4Irj2yJedxni4zPdRU8u3/xBZfvuXdPHW1Kj2d2//3nRtD4UeylgOpW5Sc8JcZnvSP42w8G8ber83FlUfKudjSj3GSX6ZHSlElBk/W+j3S1o+6/X58X1wD5bHo/+a8YIPxWDJA7ngIOvJl5KwZQ2p09exZVVVUAUCSl7It0HFu+aFzL5EvZ9bmufNveFpWa63Ixd/roD0Y8UwO8e3QYv3KNdhEsF5ewIQ9wfHIJe+XoD96fl03G3VcZW1o625YCyibZcMVfspftyZb3k3rxMlYdir5iwJWH/gWHpq+EMiX2uDgif5nx6SYywa5Tw3hl/yCuunwGR3Ajug6fwcvHZuHea/Iz4octeK6rbs8I9spBdE/NR2FBYv+t37pgEm4oGc07cnYycBT4+pLJqJo12hSvxDF9hUUI3H9NbtTWj/uW5WZMUJstsmlpKX3Znu1HL+Nf913Gt8snY92CyQmd82x5Px117cG0oegrBkw/UIGjrj1QVtyQnkpS1sqMTzZRku06NYyDn+zA63kvY27u6JWnJ0QJnvjkPgBrM+aHLZmUfAsUv+EOfRe0H7DZUwUKE+x+yR3qxp9O60H+sjy84C7EuUuj5czMHcED1j78ybQhXBqakfZ1GIO7XU8MeALudXEtqm4Cs5eWMqPF1yIEFhflALiMxUVjW/IqGxbB/hOlDziLmCsG/InSh9jXe4/KHeo2tMrApdz0f57IPOl/hxMlmUdKnNz/Pp7LfRZYcgdwy+hYjdL3nsJzB59F7acCnivWpf2/a1PJEcy84AIAzLzgwmVZltCCynNPvIkrj2zBSgAPCYGdk5ehCwpKoOIm8SlyPpPAZ/GNTTNLcLerrvkPgYFOPN2uZjBzaalM78rUg48/nQasvRH4+Gg35px6O+BCE/SnP/iYPM372DFWDPAdZ5D+eYolEz5PZJ70fxKJkuzAuct41PISsOQOWO4NHKthufcVeF65Fz849DJeO/dFLJuVvh9gM8068wGWuF/QFloG8KWj/4zBs6/ikPWBuAcIB49NOzMwgmbv2LSPExybZpbgbtdI4ul2NYNZS0tlQ1dmcPBxMwDkADjzAXBm9Lh0Bx9mrBgAhH6epl44hvL9z2DfNT/Ahanzffsz4fNE5mHwReNOoboPc2WX1uIVZqyG5ZZHMfdgBQrVfcCs69NSRzP5X6EFvyu08nY8heV7G+O+QsuMsWlmCe52zVRmLC1ldldmsphxoYkpTFgCCgj9POkuTJ2PgQxae5bMxeArisHBQVy4cCHd1aA4zRj2/vscY6zGjOEzGXV+Bwel934QFyYn+OMoPShz/TzqFVplrhfw+dRrAZHYmKek1DMFZZolGXVdkC+h5AJqlFhpRh6wIH8QFy4Ye4wDqkRPjCmbugclPjl5AUuVxOqdjOd+AflAzhzf9gmLxF4JnLAAk3L8yhwBkODnM1nvp8+nfQFDSx5B+ecvYcrzozP3D+ZfgX1LHsHpaV9IuI66Sd4JQQcHB3EhJ3O+jygx4SZ4DYfBVxSXLl1CX1/EaTooQ82a7O1KjDVWY3IuzmbQ+T1/wQJgGs6fP48+Gd9aebqS83/ElMGuqFdoTXm+AvmnOtE17eq01TMVZZolWXX96txJePEzvZnOP0DQAoc75wxioN/4GoeneicBCJ1IM/S4iyi1JLYWZ7ac+2SW2TdpGQ4tegIzun6L23texFszvomeki9BCguQhO+PnEFtuP758+fRN5I530eUGCOz6AMMvqK64447wi4NQhnOsx4XHFuR/95TgWO+AMDjgee9pzE4dT5urnwYsGROt9m+k/342YGPsWbNGpTPKUiojEn7LwNHEbPVb/W1Vgxfc2f4Y1JQzzP9QzgzMPolJc9eAA78EXOX2bB41uis47On52J2Qegs7+mUjOcPAHcCuPHTs3jyrUM43T/6WpQW5qOuogz2ZfFN8FxyRMWWI7HX+Lt97c1YtUiJs7aaZD33ZJeZivfTZ3tnA9texJybv4bVy/8koTLCsZz+A/AZsGbNGniuuDZp5VJ6GG2wYfAVRUFBAQoKkvMFQyn21SchW74Fzyv3wnLL6FgNz3tPQxx8E1Pv+QVQpKS7lgGm9Wn/oU+bNi3x993sK7X7GK1+U2ZfCST4GMmo5//+r5N49u2DIfvrX/tjwPbDt12Fv67InFUJgCSdJ6+7VxVgw41X4tWO7Zi840lcXvsY7ravQ44l/q6ydeXTMafoAE71DiLcMH0BoLQoH+vK5ydUPpDc557MMlPxftKX55kyZUpyfxf6teBw2tSpCX8mKXMYXTWIwReNT+UbIO75BfDW44DfWA2hLNL2l29IY+VMtOiLgLIQ2PE08I2XQ1r9sOMZQFmkHZdG99+8EBXlV8Q8riTDWr3MkGMRuP6KSViS8wEOXTEp4cAoxyKw6a5yPPSiEwIICMD0EjfdVZ5w+ZmM7yfKNgy+aPwq3wCx7E4cf8eBee/X4/iaBsz7ck3GdDV29Q2iq390hPShroGAe11JQR5KCg1ewmfJAW7/CdDyLWDLfcDaH/ha/bDjGeDANuCeX6T9NSgpzDf+nNLMlPNkkvUr5uC5b9rwxOv7cLJ3dOBvaVE+Nt1VjvUr5kTJnb2y6f1EBKQo+BJC1AJQvZuKlLJprHniKVMI0S6lrIiUTuOYJQcXZ18HANp9hgReAPDSh5+H7Sp5ZOvugO24u0rKN2gBVlCrH5RF2v7x2upnEtPOk0nWr5iDivLSpHRlEpE5TA++vEESpJTN3m27EMIhpaxJNE88ZQohKgHYk/y0iMbM1K6S8g1ABrf6ZZNs7NJKVlcmEZkjFS1f9QAW6xtSyg4hRDuAiMGXgTyGyhRCKAC4OBZlJNO7SjK41S+bsEuLRjwSu08PY+/Ialw+PYzFHsmAlsbE1OBLCGGF1iWohkmzSyk74s0DwB1HmfcAaAHgSPQ5EBHRxLVtz0m/MXTfA945j6c730l4DF3wGML8swNYAuDQmQEMyl7f/kwYQ0jmMbvlyxphvwpASTCPoTK9gVpIcBeOECIPgH+fAa/3JSKa4LbtOYmHXnSGTN1xqncQD73oxHPftMUdgAWPIVwuDuPXecDDW3Zjr1/wFdcYwv5T2i2WglLtRmmXrqsduxF/d6CeRzVYpiKldHu7HmOpB7ApzvoQEWWOoB/gPPXQ6P2J6aPHxfEDbMaVntly9eiIR+KJ1/eFnTNNQpu+44nX96GivDSuLsjgMYRnDuQC24Ef3n41Zi8dXfMyrjGEu14Atj8Z+7h1jwG31hsvl0yTruArkXFYsfL40oUQ1fpgfIMaADzjt10A4Fgc+YkyTrLGqWTLj+WEF/QDvEC/f/dh4F2/4+L4ATbjSs9suXp05+HugOk6gkkAJ3sHsfNwN1aXzTRcbvAYwkNntclbFxRPwZJ5RYlVduUDwNVfGd0+ewD45YPA1zcDs/xeQ7Z6ZQyzgy93hP1KlLRYeaKmCyFsAHYZq55GSjkEwPfrIgQHUlJ2S+Y4lWz5sZzwgn6AD50ZwMNbduPZb1yPJbODWr4MMuNKz2y5erTrzGnjx8URfJkiUmvmrKXA3OtTXh2KzdTgy9vtpwohrFJKd1Ba2PFYRvJES/eO9bJ57wGgzJunFoBbStmWpKdHGersiSNQzxz1bfcc2eu7P+R3nDJ7AWbNXZTi2pkv2eNUsuXHcsIL+gEelL3YK3sxOOtaYG5iLSpmXOmZLVePlhzvgPfnw8Bx5abXh8aXVHQ7NkCbZ0ufk6tS/9u7bQVQGTRJatQ80dK9AZovsPO2hFUbmdiVxoeDv/kZVh/dHLJ/lbMWcI5uf7DgQcz6zlMprJn5zBinki0/llnFhPFZlFw32aswZ/9unBrwRF4rc3oObrJXpbpqNA6YHnxJKZuEELXeAAkAVgVNhmqHNj9Xk9E8BsoE4AvKNnr/bgTQHqnFjdIjeDxRJPGMJ7rqK9/DoTNfi33c7AUxj8k2Zo1ToSQzYXwWJVdO0Rxs+hqir5X5tS8gp2gMSzZ5RjDlzCcAoN17VnM+vgkiJQPug1qd2oLSmhHYqhUzj5F07zFtkdIoM0QaTxQsnvFEs+YuGpfdiUZ09UcOvBI5jkxiwvgsSj5T18rc9xrw1uOYp34OAJj3fj2w5zltbVYuATbucWFtSqvg8USHugbwyNbd+OnG67GkZPRHiOOJjCkpMNY6aPQ4MokJ47PIHPpamVs/+hw/enUP/v7uFdi4auHYZrjf9xrQ8i1g6XrgL34OlFwDdO0Hdjyt7ecarOMegy9Kq0jjiZaUTMeKRC+7nsBuWlyMOUX5ONU7GHmcSlE+blrMVbeIjMqxCFw3XwEAXDdfGVvg5RnRFr1fuh74xsuAxaLtX7BK295yH/DW3wDL7mQX5DhmSXcFiCh5ciwCm+7SrrwK/nnwjVO5q5zr0hGly5HfAernwNpHRwMvncUCrP0BoB7RjqNxi8EX0Tijj1MpLQpsUSwtyk9oORQiSqIB7/xhJdeET9f3DxibZ4yyE7sdicYhfZzKqx3bMXnHk7i89jHcbV/HFi+idJvuHePatV/ragzWtT/wOBqXGHwRjSd+80flALg57zMsyPkAR/M+Q84pZfQ4zh9FlB6LvggoC7XB9f5jvgDA4wF2PAMoi7TjaNxi8EU0nnD+KKLMZsnRppNo+ZY2uH7tD/yudnwGOLBNu9qRg+3HNQZflDFGPBKfHFMBAJ8cU3HNnEJ2k8WL80dNWFwAPYuUb9ACrLceB56vGN2vLOI0ExMEgy/KCIELQQM/enUPfvbOobFPZDjRcP6orGBGoMQF0LNM+QZg2Z04/o4D896vx/E1DZj35ZqEWryC30/5ZwewBNo/X4Oy17efgXfmYPBF6dV/Cts+PoyH/qM78kLQf1aM9TcsZmsNjRtmBEpcAD0LWXJwcfZ1AKDdJ9jVGPx+Wi4O49d5wMNbdmOvX/DFwDtzMPiitBr56AU88dY8SBQjeGYqbSFoD574jwOoGP5P5HyZY5RofDAjUOIC6BNXwPvJM4LLuw4Avwd+fNNlTF45ul4kA+/MweCL0mpnSSVO4kDEdAkLTmIWdpZ8EatTWC8iMzFQIkAb57r79DD2jqzG5dPDWOyRCY1z9b2fvOtFwrte5A2//1vgyM+5XmQGYvBFadU1PDWpxxERJYPZFzAEjnP9HvDOeTzd+U7i41y5XmRWYfBFacWFoIkoE5l5AcO2PSfx0IvOyONc412JgutFZh0GX5RWXAiaiDKRWRcwjHgknnh9X9jvO22cK/DE6/tQUV5qvAtSXy/yL34eeb3I5yu04xavjau+ZA4GX5RW+kLQD73ohAACvpC4EDQRpYtZ4/J2Hu72TakTjgRwsncQOw93Y3XZTGOFcr3IrMOFtSntuBA0EU0UXf2RA69EjgMQuF5k2MK4XmSmYcsXZYT1K+agYtlsvP/qc5j2h3/F+Wu/jTV3P4ScSXyLEtH4Yco4V64XmXXY8kWZYd9ryPnHG7Bu799gpeUg1u39G+T84w3aFTxEROOEPs410kAKAWBOvONc9fUiD2zTBtcf3QkM9Wv3W+7T9t/+Yw62zyAMvij99EukS5YD3+kA6o9r9yXLtf0MwIhonNDHuQLB00qPcZyrvl5k115tcH3DfO2+ax+nmchADL4ovYIvkV6wCsibPnqJ9NL12iXSnpF015SIKClMG+davgH4/m4cX9MAANr99z9m4JWBOKCG0ouXSCeV2RNDElFyrF8xBxXlpXi1Yzsm73gSl9c+hrvt68Z+ZXeS1oskczH4ovTiJdJJZebEkESUXDkWgeuvmIQlOR/g0BWTOKXOBMLgi9LL/xLpBatC03mJdFzMmhiSiIiSh8EXpVXXDBuUggWYvOMpiG+8EnKJtNzxNC4XLIQ6w4aS9FUza3DBZiKizMfgi9LqpY+O49Nzf4Hn+p+FfOVeWG551LcgrOe9p4GDb+J7lx7Gso+Os5uMiLJf/ynt5pWnHhq9PzF99LiCUu0WpxGPxO7Tw9g7shqXTw9jsUeyOzMDCSnDrTCV5AcRohaA6t1UpJRNY81jMB0AygBASlkTR30LAfT29vaisLDQaDZKgD5AvPDwb1D64Y+R23/Ul3apYCFO3fw4+hZ/hQPEiWh8eLcB2P5k7OPWPQbcWh9X0dv2nMQTr+8LWL5oTlE+Nt1VzpVCUqSvrw9FRUUAUCSl7It0nOnBlx4E6cGREMIOoCpaMBQrj4H0RillnV95DgBWKWWFwToz+EoHzwjg/AXwxiPAV38K2L7FK3WIaHwJavk6dGYAD2/ZjWe/cT2WzE685WvbnpN46EVnyILdepsXl2pLjUwKvnoALJZSqn77pJQyYjtorDzR0oUQCoBWaMGY6k2zAegEUCaldBuoM4OvdDmxG2heB1RvB+Zen+7aEBGZas/xXnz1Z+/jje+twYp5RQmVMeKRWNP4TsQFuwW0OcTer/syuyBNZjT4MnWSVSGEFVqXoBomzZ5IHoNlrgRg9UvSAy4ljuoTERFlvJ2HuyMGXgAgAZzsHcTOw92pqxRFZfaAe2uE/SoiB0Kx8kRN9wZlM4LS9KAsbKuXECIPgP+19wURHoOIiCijdPVHDrwSOY7Ml67lhboBxLFqqKE80dLrAdSEay3zS+/1ux2Ls25ERERpUVJg7GIko8eR+dIVfMUbeBnJEzZdCNEIYKuUsjlK3gYARX63+QnUj4iIKOVuWlyMOUX5IQt16wS0qx5vWpzITy+ZwezgK9LgdiVKWqw8hssUQlQCcMWa2kJKOSSl7NNvAPqjHU9ERJQpciwCm+4qB4CQAEzf3nRXOQfbZxBTx3xJKd1CCFUIYQ2+ylBK2ZFoHiNl6oPv9RYv71WQxUaudqQUCrrsGmcPBN7rEpxwkIhoIli/Yg6e+6YtZJ6vUs7zlZFSMcN9A7QB73oQVKn/7d22AqgMap2KmsdAmTYANgBt3vIBILgMygS7Xgg/4eAvHwzcTmDCQSKiiWT9ijmoKC/Fqx3bMXnHk7i89jHcbV/HFq8MZHrwJaVsEkLUegMkAFgVNMGqHUANgCajeaKle1u43obWDdkYXJckPjVKhpUPAFd/JfZxbPUiIgrPrwchB8DNeZ9hQc4HOJr3GXJOKaPHsQchY6RkeaFsw0lWiYgoFZIxyaqZSxZRfIxOssqFtYmIiFJEX89Wd6hrIOBeF9d6tkE9CFGXLKKMwOCLiIgoRV768HM8+/bBkP2PbN0dsP3wbVfhryuWGis0qDtxUPZir+zF4KxrgbkJtqaRqRh8ERERpcj9Ny9ERfkVMY8rKciLeQxlLwZfREREKVJSmG+8O5HGrXTNcE9EREQ0ITH4IiIiIkohBl9EREREKcQxX0RERBQgeEqMSOKaEoN8GHwRERFRgEhTYgSLa0oM8mHwRURERAH+2/I83FUyOkfY0e6LeOqtP+KHt1+NBcVTfPuV2ZwSIxEMvoiIiCjArD++jFl+SxYtAXBrHoDtQQeuewyYyyWL4sXgi4iIiAIFLVl09OBuLHj3YRy99VksuOr60eO4ZFFCGHwRERFlMVPWiwxasmjojFbWkLIEmHv92CpMDL6IiIiymSnrRZKpGHwRERFlMa4XmX0YfBEREWUxrheZfTjDPREREVEKMfgiIiIiSiEGX0REREQpxOCLiIiIKIUYfBERERGlEIMvIiIiohTiVBNkWPAsypHENYsyERHRBMPgiwyLNItyMM6iTEQ0fox4JHafHsbekdW4fHoYiz0SORaR7mplNSGlTHcdMo4QohBAb29vLwoLC9NdnYwRbv2wR7buxk83Xo8lJdN9+9nyRUQ0PmzbcxJ/99ofsGDg9yiBii4oODr9C/h/N1yL9SvmpLt6Gaevrw9FRUUAUCSl7It0HFu+yLBIsygvKZmOFfOK0lAjIiIyy7Y9J/HvL/8zWvNextzcLt/+E5dL8D9evg+477sMwBLEAfdEREQUYMQj8Z///nP8r9xnUbrEBnynA6g/DnynA6VLbPhfuc/iP//95xjxsPcsESlp+RJC1AJQvZuKlLJprHnGmk5ERETh7XSdwfdH/gW46g5Y7n0FsHjbahasguXeV+B55V58/9C/YqfrQay+qiStdc1Gprd8eYMgSCmbpZTNAJxCCMdY8ow1nYiIiCIb+ey3mCu7YLnlh6OBl85igeWWRzFXnsbIZ79NTwWzXCq6HesBNOsbUsoOANVjzDPWdCIiIoqgRKjeP66JcMA1gcdRXEwNvoQQVmhdfmqYNHsiecaaHuEx84QQhfoNQEHUJ0ZERDSOlVnLtD+69oc/wLvfdxzFxeyWL2uE/SoAJcE8Y00Ppx5Ar9/tWITjiIiIxr2cK7+Ei9Pmw/PeU4DHE5jo8cDz3tO4OG0+cq78UnoqmOXSdbVjN4DiJOcZS3oDgCK/2/w460ZERDR+WHIw5c4GiINvwvPKvcDRncBQP3B0Jzyv3Atx8E1MubMBsOSku6ZZKV3zfMUbeBnJk3C6lHIIgG/2UCE4cy8REU1w5Rsg7vkF8NbjwPMVvt1CWaTtL9+QxsplN7NbvtwR9itR0mLlGWs6JcGIR+KTYyoA4JNjKud6ISIaj8o3QHx/N46vaQAAHF/TAPH9jxl4jZGpwZeU0g1A9Q6CD07rSCTPWNMTeR4UaNuek1jT+A5+9OoeAMCPXt2DNY3vYNuek2muGRERJZ0lBxdnXwcA2j27GscsFWO+GgD4rjIUQlTCbxoIIYRVn5fLaJ4kpFOCtu05iYdedOJk72DA/lO9g3joRScDMCIiohhMD768M8srQohKbxC0SkpZ43eIHUBNPHnGmk6JGfFIPPH6PoTrYNT3PfH6PnZBEhERRZGSAfdBS/u0BaU1I0yrVLQ8yUin+O083B3S4uVPAjjZO4idh7uxumxm6ipGRESURbiwNhnW1R858ErkOCIioomIwRcZVlKQn9TjiIiIJiIGX2TYTbMuYc50CyLNgiYAzJmeg5tmXUpltYiIiLIKgy8yLMf5L9g09DQACYHA5Sa0bYlNQ08hx/kv6ageERFRVkjXDPeUjVY+gPVXfwXPHbqIJ95TcXJgNAArnT4Zm24pwvolTwEFpWmsJBERUWZj8EXGFZQCBaVYPxeoWCPxasd2TN7xJC6vfQx329chx8JlmYiIiGJh8EUJybEIXH/FJCzJ+QCHrpjEwIuIiMggBl9EREQUoKtvEF39Q77tM90XsQTA0e6LGDze69tfUpCHkkJe4R4vBl9EREQU4KUPP8ezbx/0bS8Xh3FrHvDUW3/E3jdHr2h/+Lar8NcVS9NRxazG4IuIiIgC/LflebirpMi3nadOB94F/nn9dAwpo/uV2XnpqF7WY/BFREREAWb98WXM2v5kyP4F7z4cuGPdY8Dc+hTVavxg8EWJ8YxgyplPAEC796wGLDlprhQRESXFygeAq78S+zhOLZQQIaVMdx0yjhCiEEBvb28vCgsL012dzLPvNeCtxwH189F9ykLg9p8A5RvSVy8iIqI06uvrQ1FREQAUSSn7Ih3HGe4pPvteA1q+BZQsB77TAdQf1+5Llmv7972W7hoSERFlNLZ8hcGWr/C61PNQnr8Zk+csh/jGK4DFL3b3eCC33IvLJ/dB/c5/oUSZlr6KEhERpQFbvijptne8htz+oxBrfxgYeAGAxQKx9lHk9n+O7R1s/SIiIoqEwRcZdvtCbytpyTXhD/Du9x1HREREIRh8kWFFsxdof3TtD3+Ad7/vOCIiIgrB4IuMW/RF7arGHU8DHk9gmscD7HgGUBZpxxEREVFYDL7IOEuONp3EgW3AlvuAozuBoX7tfst92v7bf8z5voiIiKLg1Y5h8GrHGMLO87VIC7w4zxcREU1QRq925Az3FL/yDcCyOwHnL4A3HgG++lPA9i22eBERERnAbkdKjCUHmHuD9vfcGxh4ERERGcTgi4iIiCiFGHwRERERpRCDLyIiIqIUMn3AvRCiFoDq3VSklE1jzWMwHQDKAEBKWZNI3YmIiIiSzdTgSw+CpJTN3m27EMIRLRiKlcdAeqOUss6vPIcQol1KWWHOs5xA+k9pN93ZA4H3uoJS7UZEREQhTJ3nSwjRA2CxlFL12yellCLRPNHShRAKgFYAVXq6EMIGoBNAmZTSbbDenOcrnHcbgO1Pxj5u3WPArfXm14eIiCiDpH2eLyGEFVqXoBomzS6l7Ig3DwB3jPRdAFYCsAJwepP0gEtJ5HmQn5UPAFd/JfZxbPUiIiKKyMxuR2uE/SoiB0Kx8kRN9wZlM4LS7N77iK1eQog8AHl+uwoiHTuhsTuRiIhozNJxtWM3gOIk54mWXg+gJlxrWdAxvX63Y3HWj4iIiMgQwy1fQohKABsNHNogpXRGSY838DKSJ2y6EKIRwFZ9cH4UDQCe8dsuAAMwIiIiMoHh4EtK2QagLY6yI3XzKVHSYuUxXKY3WHQZCLwgpRwCMOSXN1YWIiIiooSY1u3ovbJQ9Q6iD04LGWxvJI/RMr2D7/2no1DC5SEiIiJKNbPHfDVgdMC73hrV7Ldt9ZsQ1VAeA2XaANgAOL3lWwFUQxsXRkRERJRWps7zBfgmRdW7BFcFTYBaDaBOSllmNE+0dO88X4cR5mrKaHOLhakz5/kiIiKiuBid58v04CsbMfgiIiKieBkNvriwNhEREVEKMfgiIiIiSiEGX0REREQpxOCLiIiIKIUYfBERERGlEIMvIiIiohRi8EVERESUQgy+iIiIiFKIwRcRERFRCjH4IiIiIkohBl9EREREKcTgi4iIiCiFGHwRERERpRCDLyIiIqIUYvBFRERElEIMvoiIiIhSiMEXERERUQox+CIiIiJKIQZfRERERCnE4IuIiIgohRh8EREREaUQgy8iIiKiFGLwRURERJRCDL6IiIiIUojBFxEREVEKMfgiIiIiSiEGX0RERHFQVTWjyqHsY3rwJYSoFUJUe2+1ycgTT5lCiPZE605EROSvrq4OiqIkpazm5ma43e6klEXZRUgpzSvcGxhJKZu823YAVVLKmkTzxFOmEKISQKuUUsRZ70IAvb29vSgsLIwnKxHRhNfU1OQLUFRVRW1t7P+7Y+WJlt7R0QGHw4GKigpYrVa0t7dj1apVqKysNJRfVVW0tLQAAFwuF9xuNzZv3hwSZDU3N8Nut8NqtRp+XH8VFRVobw9sD6ipqYHD4Yj5+lB26OvrQ1FREQAUSSn7Ih4opTTtBqAHgBK0T44lj9EyASgAqmM9XoQ6FAKQvb29koiIjGtsbJSNjY2+7fb2dlldXT2mPLHSW1tbpaIoEoC0Wq3S4XDEVX51dbV0uVwB23a7PaAMl8sV8jxiPW7wsd7fowDt7e0BdaPs1tvbKwFIAIUyWpwRLXEsNwDWCEGRBGBPJE88ZXoDL8VI8AUgzxtw6bd5DL6IiOKnKIrs6ekJ2Bcu6IgnT6z01tbWkPR4yrfb7QEBUGNjo1QUJeD42tragADNyOPqenp6pMPhiPg62Gy2mGVQdjAafE0y3JYWP2uE/ao3KEokj6EyvV2RHVFrF6gewKY4jiciMk1HR0dI91Q4CxcuxF/91V8F7Punf/onbN68GXfccUfUvBUVFbDb7b7twcFBbNq0KWK6EW63G6qqhh0T1dHREba8WHmsVmvcZcZbp+DX+qOPPgopt6OjA42NjVEfK5KWlhbcc889qKkJP+LGarXC6XTCZrMlVD5lHzODr0i6ARQnmEc1WKYipXQLIRSD5TcAeMZvuwDAsTjrSESUFBcvXjR0JVxxcehX6cDAAG6++eaY+S9evBiyzz9PuPRYIg0eVxQlYn1i5TFaZktLC4qLi9Hd3Q2Xy+ULlOKtU1tbG1RVRWtra0Adw73W0R5XZyRArKioQEdHB4OvCcRw8OUdvL7RwKENUkpnlPR4Ay8jeXzpQohqKWVzPIVLKYcADPmVEV/tiIiSaMqUKYauqJs+fXrYfUbyTpkyJWSff75w6YnSg5NE8kR6Lv5l6kGLPhC+ubkZVVVVAQFUrDrpg+5VVUVVVVXA46qq6ivbn5HH1fNGC4aLi4vhcrkiptP4Yzj4klK2AWiLo+xI188qUdJi5YmaLoSwAdhlrHpERJnJbrfH3eWnC+6GNCo/Pz/hbrVY4g28jOTxTw8OjPQuvmgBT3D5iqKguroagBZEzZgxA4cPH4aiKHC73WGDwGiPqygKmpubfWVGY7VasXXr1pjH0fhh2jxfUko3AFUIEfLvgpQy7HisWHkMlFkMwO6dB6wWQCPgmxcs/LW/RESUFOFah4DILUdG8hgps60tsF1AD5TcbnfM/Kqqoq6uLiBQs9vtUFUVHR3Rhw5He1yn04mVK1dGza/r7u6O2K1J45PZk6w2QLtKEYCv67LZb9saZpLUqHmipXsDtCb9BsDh3d/kbbkjIiKTWK1WX0tRsEgtebHyxErXuwn90/VASg/eouV3u91oamoK6YIERoMpq9Uakj/W43Z3d6OjowNNTU1oampCXV0dAG2+seCgTVVVlJWVhX19aHwyNfjyBkCKEKLSGyStkoGTodoB1MSTx0CZAHxBWb3370bvFZBERGSi+vr6gBajtra2gK43PdiJJ0+0dEVRUFtbG9DC1dzcjMrKSl/wFC2/zWYLyb9161bYbDZfwBgu+Ir1uHa7HbW1tb6bfqVjbW1tyCSskbo1afwydYb7bMUZ7omIEtfU1OQLSj766KOAsWRtbW2oq6sLGWAeLU+sdFVV0dw82kFy7ty5MeXXr1r0D4jCzU5v5HH157x161a0tbWhtrY2ZBqPqqqqsDPqU/YxOsM9g68wGHwREZG/pqamgNawZIp1ZSZlD6PBl+kLaxMREWW72tpaU9ZgbGpqijj5Ko1fDL6IiIgM2LhxY8hg+bFQVRXnzp0zpTWNMhuDLyIiIgP0gfKRZs2PV3Nzs2lzq1Fm45ivMDjmi4iIiOLFMV9EREREGYjBFxEREVEKMfgiIiIiSiHDC2sTEVHm6eobRFf/UMzjSgryUFKYn4IaEVEsDL6IiLLYSx9+jmffPhjzuIdvuwp/XbE0BTUiolgYfBERZbH7b16IivIrfNuHugbwyNbd+OnG67GkZLpvf0lBXjqqR0RhMPgiIspiJYX5YbsTl5RMx4p5RSmti9PpREdHBxoaGlBcXIyamhpUVlYGLD49HtXU1KClpQWtra1RJ0x1u91wOBy+dSb1me1dLhe6u7uxcePGkEW3dXV1dQCAmTNnQlEUFBcXo7KyEnV1dRHnCuvo6IDT6URtbW3M55BI+TQGUkregm4ACgHI3t5eSUSULYZHPPKl//pMLqp7Q770X5/J4RFPWuphs9lkdXV1Wh47XWw2m2xvbzd0rN1uD/v6WK1W2djYGLCvs7MzbNkul0tWVlZKq9Ua8XFipY+1fArV29srAUgAhTJKnMGrHYmIxoFte05iTeM7+NGrewAAP3p1D9Y0voNte06mvC7FxcUpf8zxoKamxtcCpauqqkJjY2NIi5p/y1kkxcXFcLvdUWfkH0v5lDgGX+NQV98g9hzvjXnr6htMd1WJKAm27TmJh1504mRv4Gf6VO8gHnrRmZYAjOKnKAoAbc1HYLQrMFJXpt1uj9il29bWhsbGRlit1ogLgo+lfBobjvkah3j1E9HEMeKReOL1fQi3UJwEIAA88fo+VJSXIsciUlw7TUdHh++HfvPmzXC73eju7kZnZyccDgeam5tRXFyMrVu3or6+HjabLSBfcXExqqqqAIwuRq2PQ9KP0Vtq2tvbAcCXro+vArQxV7W1tWhra0NDQwPcbrdvnJbb7UZFRYUvWLFarb68brcbVqs1YDxWU1OTb2xUsnR2dsJms/mCsLa2tpiLbge3lOncbjcURUFlZaUvEAs2lvKBxM8roJ3H5uZmWK1WtLe3o6amJiBdT1NV1fdcqqurI+7POtH6JCfqDVk+5ut070X5h2Oq7/aq85hcVPeGfNV5LGD/6d6L6a4qEY3R7w6dlYvq3oh5+92hsymrU7gxTe3t7dJqtQaMLbJarbK2tta33draKm02W0C+1tZWCUC6XC7fvtra2oDy9Xzt7e2ys7PTV2ZlZWXA47lcLmm32wPq489/vFVlZaVsbW0NeE6dnZ2+x3c4HL60np4eCSDhMV89PT2ysbFR2mw22dPT49sPIGQMmBE9PT2++rlcLgnAV3d/iZbvL9HzWltbG3BOrVar77m3trYGvL4ul0s6HI6I+zMJx3xNYCWF+Vgxr8h30y83169+0m+ccJEo+3X1Gxs+YPQ4s+jjj/xbWoK7tGw2W8j4JEVRYLPZAo6tr69Hc3Oz71hFUeB0OmG322Gz2dDY2Oi78jL48bq7u337u7u74XQ6Ax4L0FqN2traAlq6qqqq4HA4oKoqmpqaAlpb9DrGY9euXWhubkZzczNaWlpgt9vR2dnpq8NYtLS04J577gGgPWebzYatW7eOudxwEj2vbrcbHR0dAXn8t1tbW33dr1arFStXroy6P9uw25GIKIuVFBj7J8rocWYK/lFWFAVlZWVxl6Moii/g0ssMLnvXrl1hxyvp3Vx2ux3V1dVwOBxwOBzo6OjwBSwdHR1QFCUgGHC5XL6AIRkB0sqVK2N2l1mtVrhcrqjH6F2i/trb230Biq65uTmk6zHR8sPV05+R89ra2goAvu7D7u5udHd3AwAqKyvhcDgwY8YM2Gw2bNy4EbW1tbDZbGH3ZyO2fBERZbGbFhdjTlE+Io3mEgDmFOXjpsXj+wrE4IAoOPgIR5+fCxgdI6XntVqtsNvtvltjY6NvPFmqruasrKwMCADDCU5XVdUXlOi3t99+G6qqBrTyJVp+sjidTlRVVaGlpQVWqzVsANnZ2YmNGzf65kaLtj/bMPgiIspiORaBTXeVA0BIAKZvb7qrPG2D7c2gqipUVY3a1acPog/mdruxatUqAFqLTXFxMdra2gICqnDdZPrjRkozg/9FBeGoqhoSCLa0tIRM1Kp3iwZf9ZhI+cmgqipuu+021NfXo7q6Goqi+IJlt9uN5uZmANp5qK2tRWdnJ7Zu3RpxfzZi8DXOjXgkPjmmAgA+OaZixBPumigiymbrV8zBc9+0obQosGuxtCgfz33ThvUr5qS0Pnr3USxGWqcArZXE/9iGhgZUV1dH7Q6z2Wyw2+0BgYXe8uMfnNTU1ODBBx8MGLNkt9uxcuVKtLW1BZSpt9LoV935P4/gOiZLa2sr6urqwrZwNTc3hwRanZ2dYcvZuHGjr5VvLOUbEet1cLvdIcGz/p7RX0f/1xeA7wrHcPuzEcd8jWPb9pzEE6/v883986NX9+Bn7xzCprvKU/5lTETmWr9iDirKS7H1o8/xo1f34O/vXoGNqxamtMVLH+Su/7jqA9PdbrdvaoempibU1taiqakJu3btAjDaAtXQ0ABVVVFXV4f6+npfN6DNZvONtXI6nZg5c2ZAq01jY6OvbP/ljPTAQm+pcrlcIcFJdXU1XC5XSLdle3s76urq0N3d7Wv90cdo6d1dbW1tAXVsaGiAoigRp2/QB/Lv2rXLV1+95ScSm82Gzs5O1NXVob293bf8D4CA8U76tA9OpxNlZWUhafo4sKqqqoBljIyWH47T6UzovOotV3V1daioqAAweq42btwYMNWG/rpt3rzZFzwG789GQkq2hAQTQhQC6O3t7UVhYWG6q5MQfdLF4LOrfw2n479hIjLfnuO9+OrP3scb31uT8rUdzaAHFZFadIgySV9fH4qKigCgSErZF+k4djuOQ7EmXQS0SRfZBUlERJR67HYch3Ye7g5ZZsSfBHCydxA7D3djddnM1FWMiJKuq28QXf1Dvu1DXQMB97qSgjzO7UeUIUwPvoQQtQBU76YipYx5XWisPEbKFEI0AtAnMOmWUrYFHzNeZcuki0Q0dpGWE3tk6+6A7WxcTkwfz+V0On1jiojGA1ODL2+QBClls3fbLoRwSCkjLpUeK4+BdAXA2wBuk1KqQggbgE6EXoU9bmXTpItENDb337wQFeVXxDyupCAvBbVJLn2OLaLxxtQB90KIHgCLpZSq3z4ppYwYCMXKYyDdAcDl3xomhLBLKQ3PFJftA+5HPBJrGt/Bqd7BsOO+BLRL0N+v+/K4mvuHiIgondI+4F4IYYXWJaiGSQv7r0ysPAbLrAbQJoSw6vviCbzGg4k46SIREVG2MPNqx0gzn6kAlATzRE33BmcAYPMe7xZCOCIFezohRJ4QolC/ASiIdnw2yLRJF4mIiEiTjqsduwHEu16BnkeNka4HX6qU0gkAQog6AIcBzIhSfj2ATXHWKeNlwqSLRGSy/lPaLZaCUu1GRGlnOPgSQlQC2Gjg0AY98IkgkYWiYuUJTt+l/+EddK/EGPfVAOAZv+0CAMfir2bmybEIXDdfAQBcN19h4EU03ux6Adj+ZOzj1j0G3Fpvfn2IKCbDwZd3qoZ4pmuItPKoEiUtVp5E01VE7rKElHIIgG+iHCEYoBBRllj5AHD1V0a3zx4Afvkg8PXNwCy/qSXY6kWUMUwb8yWldANQ/cZh+aeFbYGKlcdguhuhgZYCv9YwIqJxo6AUmHv96E0PuGYtDdyfguBLX+NvxowZKCsrQ1NTU8Aiy3V1dZgxYwaqqqp8i1xTqJqaGsyYMSNksetgbrcbdXV1EEL4Xu+mpibU1NSgqqoqZGFwf3V1dairq0NTUxOam5t9x9bV1UXM09HRgaammFN1JlT2hCOlNO0GoBZAtd92JQCH37YVQG2ceWKlVwJoDNpuj7PehQBkb2+vHA/+cEyVi+rekH84pqa7KkRktuMfS7mpULtPE5vNJqurq8Om1dbWxl1ebW2trKysHGu1sorNZpPt7e2GjrXb7WFfb6vVKhsbGwP2dXZ2hi3b5XLJyspKabVaIz5OrPSxlD1e9Pb2SmgLyRTKKHGGqWs7Sm2uLUUIUekdM7ZKBk6wagdQE08eA+ltAFxCiFrvhKyrpJQV5j3LzNPVN4g9x3t9N//lRvz3d/VxhnuiccUzApz4WPv7xMfadhoUF0cepltWVhZ3eRUVFdi40ciQY/JXU1MT0tpUVVWFxsbGkMlrrVYramoizn8OQDuvbrcbbnf4ET5jKXuiMf1qRxm49E9bUFozgOZ48hhMDylzIhnPy40QUQT7XgPeehxQP9e233gEeP8Z4PafAOUb0lq1seIs94lRFAUAoKoqFEXxBWKRXk+73Q6rNfzw6La2NjQ2NqKjowMOhwONjY0B6WMpeyLiwtrj0HheboSIwtj3GtDyLWDpeuAvfg6UXAN07Qd2PK3tv+cXGRmAdXR0+H60N2/e7GtVOXfunO/H3el0oq6uDm63Gy6XK2K+7u5udHZ2wuFwoLm5GcXFxdi6dSvq6+ths9kC8hUXF6OqqgqAFpj4P55+jN5a097eDgC+9KamJl8Q4Xa7UVtbi7a2NjQ0NMDtdqO1tRV2ux1utxsVFRWwWq1wOBywWq2+vG63G1arFZWVlb7XoqmpCYqiRG01jFdnZydsNpsvCGtra4sZyEYal+V2u6EoCiorK32BmL+xlK1L9LwC2nlsbm6G1WpFe3s7ampqAtL1NFVVfc+luro64n7TReuTnKg3jLMxX0Q0jo0MS/k/V0j50kYpR0aC0ka0/f/zWu24FIk0BklKKR0OR8B2e3u7tFqtAeOErFar7Ozs9G13dnaGjBeKlM9/TFlra6u02WwB+VpbWyUA6XK5fPtqa2sD6qvna29vl52dnb4yKysrAx7P5XJJu90eUB9//uOtKisrZWtrq2/bbrf7nmNtbW3A69LT0yMBJDzmq6enRzY2NkqbzSZ7enp8+wGEjAEzoqenx1c/l8slAQScn7GUHSzR81pbWxtwTq1Wq++5t7a2Bry+LpdLOhyOiPvHIiPGfBERkcmO/E7ralz7KGAJ+kq3WIC1PwDUI9pxGUgfR+TfaqK3DiWSz5/NZgspR1EU2Gy2gGPr6+vR3NzsO1ZRFDidTtjtdthsNjQ2NsLpdKKjoyPk8bq7u337u7u7A67i1Fuc3G432traAlq6qqqq4HA4oKoqmpqaAlpb9DrGY9euXWhubkZzczNaWlpgt9vR2dnpq8NYtLS04J577gGgPWebzYatW7eOudxwEj2vbrc74OpQq9UasN3a2uq78tZqtWLlypVR95uN3Y5ERNls4LR2X3JN+HR9v35cmvlPPaEL/nFVFAXd3d0xywqXL5EB/Yqi+AIuvczgsnft2hV2zJLezWW321FdXQ2HwwGHw4GOjg5fwNLR0QFFUQKCAZfL5QsYkhEgrVy5MmZ3mdVq9XXdRqJ3ifprb28POW/Nzc0BXY+Jlh2pnv6MnNfW1lYA8HUfdnd3+95DlZWVcDgcmDFjBmw2GzZu3Ija2lrYbLaw+1OBLV9ERNlsund8Z9f+8On6/umxx4Emi5GWq0wXHBCFCxqD1dTUoKWlBcDoGCk9r9Vqhd1u990aGxt948mSOc4rmsrKyphzhwWnq6rqC0r029tvvw1VVQNa+RIpO5mcTieqqqrQ0tICq9UaNoDs7OzExo0b4XA4fPOVRdpvNgZfRETZbNEXAWWhNrje4wlM83iAHc8AyiLtuBSpqKjIquBLVVWoqhq1q08fRB/M7XZj1apVALSgs7i4GG1tbQEBVbhuMv1xI6WZwf+ignBUVQ0JBFtaWgK6S4HRblGHwzGmspNFVVXcdtttqK+vR3V1NRRF8QXLbrcbzc3aBAg2mw21tbXo7OzE1q1bI+5PBQZfRETZzJKjTSdxYBuw5T7g6E5gqF+733Kftv/2H2vHpUhlZSWsVqvvx00XPLYpEiOtTGPJ53Q6A45taGhAdXV11C4xm80Gu90eEFzoLT/+wUlNTQ0efPDBgDFLdrsdK1euDJlxXm+l0a+6838ewXVMltbWVtTV1YVt4Wpubg4JtDo7O8OWs3HjRl8rX6JlGxXrdXC73SHBs97lqL+Owe9F/QrHcPtTgWO+iIiyXfkGbTqJtx4HnvebU1pZlLZpJtrb29HU1IS6ujrMnDkTgBak+HfnOZ1O3xQNTU1NqK2tRVNTE3bt2oXu7m4UFxfDarWGHBMtHzDaAtXQ0ABVVVFXV4f6+nrfY9tsNt9YK6fTiZkzZwa03DQ2NvrK1gNJYDS40FuqXC5XSHBSXV0Nl8sV0m3Z3t6Ouro63/PSjwXg6+5qa2sLqGNDQwMURYk4hYM+kH/Xrl2++uotP5HYbDZ0dnairq4O7e3tmDlzpu94//FO+rQPTqcTZWVlIWn6OLCqqips3LgRlZWVhsuOJNHzqrdc1dXVoaJCe//r52rjxo0BU23or9vmzZt9wWPw/lQQUptagfwIIQoB9Pb29qKwsDDd1SEiMsYzAjh/oU2w+tWfArZvpbTFKxvoQUWkFh2isejr60NRUREAFEkp+yIdx25HIqLxwpIDzL1B+3vuDQy8iDIUux3Ho/5T2i2WglLtRkTZK/jzfvZA4L2On3eijMHgazza9QKw/cnYx617DLi13vz6EJF5In3ef/lg4DY/777xXE6n0zemiCgdOOYrjKwf8xXuP+FfPgh8fTMwy28hbf4nTJT92NJNlDGMjvliy9d4FOlLdtZSYO71Ka8OEZmIQRVR1uGAeyIiIqIUYvBFRERElEIMvsY7zwhw4mPt7xMfa9tERESUNgy+xrN9rwH/cL024SKg3f/D9dp+IiIiSgsGX+PVvteAlm8BJcuB73QA9ce1+5Ll2n4GYERERGnBqSbCyPqpJjwjWgtXyXLgGy8DFr8Y2+PRFtvt2gd8/2POgE1ERJQkXF5oIjvyO0D9HFj7aGDgBWjba38AqEe044iIiCilGHyNRwOntfuSa8Kn6/v144iIiChlGHyNR9Ov0O679odP1/frxxEREVHKMPgajxZ9EVAWAjue1sZ4+fN4gB3PAMoi7TgiIiJKKQZf45ElB7j9J8CBbdrg+qM7gaF+7X7Lfdr+23/MwfZERERpwKsdw8j6qx11+14D3npcG3yvUxZpgVf5hvTVi4iIaBwyerUjg68w9ODr6NGj2R18Adq0E7tfAd58DLjjSeD6e9niRUREZIK+vj4sWLAAYPAVPyHEPADH0l0PIiIiykrzpZTHIyUy+ApDCCEAzAXQH+PQAmhB2nwDx1L68DxlPp6j7MDzlB14ntKrAMAJGSXAmpTCymQN7wsWMWLVaTEaAKA/WvMipRfPU+bjOcoOPE/Zgecp7WK+5rzakYiIiCiFGHwRERERpRCDr7EZAvCE954yF89T5uM5yg48T9mB5ynDccA9ERERUQqx5YuIiIgohRh8EREREaUQgy8iIiKiFGLwRURERJRCnGQ1QUKIWgCqd1ORUjalsToUhhDCDqAGQDsAN4AKAB9JKdvSWrEJTAihALgHQJWUsiJMOj9XGSDaeeLnKrN4PzMAUAYAUsqaMOmqd5OfqQzB4CsB+ptdStns3bYLIRzBb3pKOwWAHUAltB+JRv5ApI8QwgZgJbTzUhwmnZ+rDBDrPIGfq4whhGiUUtb5bTuEEO16wMzPVObiVBMJEEL0AFgspVT99kkppYici1JNCFEJoMP/PFH6ec9LvZTyxqD9/FxlkCjniZ+rDOBtnWyF1jqpevfZAHQCKJNSuvmZylwc8xUnIYQVWtOtGibNnvoaEWU/fq6IErISgNVv2+29V/iZymzsdoyfNcJ+FVpzPGWWe4QQ3dC6T8r8m+gpo/BzlV34uUozb1A1I2i3HlS5oQVm4ajgZyrtGHwlj/5FRJnDCQBSSjcACCGqhRCtUsqq9FaL4sDPVebh5ypz1QOokVKqQkTsWeRnKgOw2zF5+GbOMFJKt/4D4dUCoNI7VoKyAz9XGYafq8wkhGgEsFUfXB8FP1MZgMFX/NwR9itR0igNvAODffzGPkTq4qL04ecqS/BzlXm858QVNI0EP1MZjMFXnLz/8anewYzBaR1pqBKFoV8J5H+e/P4z5xdPhuHnKjvwc5V59MHzftNJKEIIKz9TmY3BV2IaMDqwUf+vI1ZTL6WQ97/xpqDukWoAbbxEPu0idXvwc5VZQs4TP1eZxTu1hA2AUwhh9QZa1dDGdQH8TGUszvOVIO/kdfoX0Cpe7ZN5vP+RV/vtmsnzlD7eH4ZKABuh/WA0IWhmdH6u0i/WeeLnKjN4z8NhhLly0X8eL36mMhODLyIiIqIUYrcjERERUQox+CIiIiJKIQZfRERERCnE4IuIiIgohRh8EREREaUQgy8iIiKiFGLwRURERJRCDL6IiJLEu7SLku56EFFmY/BFRJQ89eAC00QUA4MvIqLksUkpnemuBBFlNgZfRERJIISwA2hPdz2IKPMx+CIiSo4qAG0xjyKiCY/BFxFRclillO50V4KIMt+kdFeAiCiVhBA2ACsBlAH4CEAHgGpvsiqlbE6gzEoArVHSVgFwAXB7b91SSjXuyhPRuMCWLyKaMLzTQNillM1SyjoAmwHUSymbvIfUJVj0RgAtYR6vGkCFlLLOG9Qp0IKwlQk+DhGNA2z5IqKJpNov0NK5vPdOADUJlqsEt2QJIawAGgEs9tutAoCUsiPBxyGicYDBFxFNJL4B8d7gSIG3xSo4IPKmV0LrJlwFwBFuTJe3dcsR5rEcADqCgrIKaEEeEU1gDL6IaMIICp7sANxRxl61SilvBAAhRAeAtwHcGOa4KillRZj9dmhXQPqzQRtjRkQTGMd8EdFEVYGgqSH0pYG8g/J9vAGa4m0NCz5eDS7Y77jgVi7OBUZEDL6IaOLwdhHqKqFd7ehL82sFizQg3ha0HanLEUBgS5t3ElZIKTuEELbgAI+IJg4GX0Q0IXgDr0bv35Xw6/4Lsxi2AqA7aJ8KoDhoX0W4wfPeoMutB1je8mugjR8DtCsuOfaLaILimC8imig6ADR7g7Bd0IKhOiEEABQHze+lIjTQUuAXkHm7FqNNqloFoEYI0QkAUsoqIUSr9/EZeBFNYEJKme46EBFlFG+L1WZ9wL13Xw+AG/WuRCFEI4CtbMEionix25GIKIg3oFL0bW+3oTvoakkbAy8iSgS7HYmIwqvytm59BG2eL9+0Ed6WMQZeRJQQdjsSEcVJCOEA0MiFtIkoEex2JCKKXzEDLyJKFFu+iIiIiFKILV9EREREKcTgi4iIiCiFGHwRERERpRCDLyIiIqIUYvBFRERElEIMvoiIiIhSiMEXERERUQox+CIiIiJKof8f3dIeAK3jD54AAAAASUVORK5CYII=\n", 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\n", 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" ] @@ -263,98 +283,6 @@ "am_pcac_impr.show(comp=am_pcac, plateau=pcac_plateau)" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Refined error analysis" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "There are two way of adjusting the value of S. One can either change the class variable `Obs.S_global`. The set value is then used for all following applications of the `gamma_method`." - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Result\t 5.03431904e-03 +/- 5.38835422e-04 +/- 8.24919899e-05 (10.703%)\n", - " t_int\t 5.15384615e-01 +/- 1.25000000e-01 S = 3.00\n", - "64 samples in 1 ensemble:\n", - " · Ensemble 'test_ensemble' : 64 configurations (from 1 to 64)\n" - ] - } - ], - "source": [ - "pe.Obs.S_global = 3.0\n", - "pcac_plateau.gamma_method()\n", - "pcac_plateau.details()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Alternatively one can call the gamma_method with the keyword argument S. This value overwrites the global value only for the current application of the `gamma_method`." - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Result\t 5.03431904e-03 +/- 5.38835422e-04 +/- 8.24919899e-05 (10.703%)\n", - " t_int\t 5.15384615e-01 +/- 1.25000000e-01 S = 2.50\n", - "64 samples in 1 ensemble:\n", - " · Ensemble 'test_ensemble' : 64 configurations (from 1 to 64)\n" - ] - } - ], - "source": [ - "pcac_plateau.gamma_method(S=2.5)\n", - "pcac_plateau.details()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "`pyerrors` also supports the critical slowing down analysis of arXiv:1009.5228" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Result\t 5.03431904e-03 +/- 7.82447810e-04 +/- 1.19787368e-04 (15.542%)\n", - " t_int\t 1.08675071e+00 +/- 1.63643098e+00 tau_exp = 10.00, N_sigma = 1\n", - "64 samples in 1 ensemble:\n", - " · Ensemble 'test_ensemble' : 64 configurations (from 1 to 64)\n" - ] - } - ], - "source": [ - "pcac_plateau.gamma_method(tau_exp=10)\n", - "pcac_plateau.details()" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -364,7 +292,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -388,12 +316,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "If everything is satisfactory, dump the `Obs` in a pickle file for future use. The `Obs` `pcac_plateau` conatains all relevant information for any follow up analyses." + "If everything is satisfactory we can save the `Obs` in a file for future use. The `Obs` `pcac_plateau` conatains all relevant information for any follow up analyses." ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ diff --git a/examples/04_fit_example.ipynb b/examples/04_fit_example.ipynb index c6b1281e..3fe8fabc 100644 --- a/examples/04_fit_example.ipynb +++ b/examples/04_fit_example.ipynb @@ -32,14 +32,21 @@ "cell_type": "code", "execution_count": 3, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Data has been written using pyerrors 2.0.0.\n", + "Format version 0.1\n", + "Written by fjosw on 2022-01-06 11:27:34 +0100 on host XPS139305, Linux-5.11.0-44-generic-x86_64-with-glibc2.29\n", + "\n", + "Description: SF correlation function f_P on a test ensemble\n" + ] + } + ], "source": [ - "p_obs = {}\n", - "p_obs['f_P'] = pe.load_object('./data/B1k2_f_P.p')\n", - "\n", - "# f_A can be accesed via p_obs['f_A']\n", - "\n", - "[o.gamma_method() for o in p_obs['f_P']];" + "fP = pe.Corr(pe.input.json.load_json(\"./data/f_P\"), padding_front=1, padding_back=1)" ] }, { @@ -80,12 +87,19 @@ "Fit with 2 parameters\n", "Method: Levenberg-Marquardt\n", "`xtol` termination condition is satisfied.\n", - "chisquare/d.o.f.: 0.00287692704517733\n" + "chisquare/d.o.f.: 0.0023324250917749687\n", + "\n", + " Goodness of fit:\n", + "χ²/d.o.f. = 0.002332\n", + "Fit parameters:\n", + "0\t 0.2036(92)\n", + "1\t 16.3(1.3)\n", + "\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -94,25 +108,14 @@ "needs_background": "light" }, "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Mass, Matrix element:\n", - "[Obs[0.2102(63)], Obs[14.24(66)]]\n" - ] } ], "source": [ - "# Specify fit range for single exponential fit\n", - "start_se = 8\n", - "stop_se = 19\n", + "start_fit = 9\n", + "stop_fit = 18\n", "\n", - "a = pe.fits.standard_fit(np.arange(start_se, stop_se), p_obs['f_P'][start_se:stop_se], func_exp, resplot=True)\n", - "[o.gamma_method() for o in a]\n", - "print('Mass, Matrix element:')\n", - "print(a)" + "fit_result = fP.fit(func_exp, [start_fit, stop_fit], resplot=True)\n", + "print(\"\\n\", fit_result)" ] }, { @@ -131,15 +134,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "Covariance: 0.003465486601483565\n", - "Normalized covariance: 0.8360758153764554\n" + "Covariance: 0.009831165592706342\n", + "Normalized covariance: 0.8384671239654656\n" ] } ], "source": [ - "cov_01 = pe.fits.covariance(a[0], a[1])\n", + "cov_01 = pe.fits.covariance(fit_result[0], fit_result[1])\n", "print('Covariance: ', cov_01)\n", - "print('Normalized covariance: ', cov_01 / a[0].dvalue / a[1].dvalue)" + "print('Normalized covariance: ', cov_01 / fit_result[0].dvalue / fit_result[1].dvalue)" ] }, { @@ -162,10 +165,8 @@ "metadata": {}, "outputs": [], "source": [ - "m_eff_f_P = []\n", - "for i in range(len(p_obs['f_P']) - 1):\n", - " m_eff_f_P.append(np.log(p_obs['f_P'][i] / p_obs['f_P'][i+1]))\n", - " m_eff_f_P[i].gamma_method()" + "m_eff_fP = fP.m_eff()\n", + "m_eff_fP.tag = r\"Effective mass of f_P\"" ] }, { @@ -184,20 +185,29 @@ "name": "stdout", "output_type": "stream", "text": [ - "Effective mass:\n", - "Obs[0.2114(52)]\n", - "Fitted mass:\n", - "Obs[0.2102(63)]\n" + "Fit with 1 parameters\n", + "Method: Levenberg-Marquardt\n", + "`ftol` termination condition is satisfied.\n", + "chisquare/d.o.f.: 0.13241808096937788\n", + "\n", + "Effective mass:\t 0.2057(68)\n", + "Fitted mass:\t 0.2036(92)\n" ] } ], "source": [ - "m_eff_plateau = np.mean(m_eff_f_P[start_se: stop_se]) # Plateau from 8 to 16\n", + "m_eff_plateau = m_eff_fP.plateau([start_fit, stop_fit])\n", "m_eff_plateau.gamma_method()\n", - "print('Effective mass:')\n", - "m_eff_plateau.print(0)\n", - "print('Fitted mass:')\n", - "a[0].print(0)" + "print()\n", + "print('Effective mass:\\t', m_eff_plateau)\n", + "print('Fitted mass:\\t', fit_result[0])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can now visualize the effective mass compared to the result of the fit" ] }, { @@ -207,7 +217,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -219,87 +229,7 @@ } ], "source": [ - "pe.plot_corrs([m_eff_f_P], plateau=[a[0], m_eff_plateau], xrange=[3.5, 19.5], prange=[start_se, stop_se], label=['Effective mass'])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Fitting two exponentials" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can also fit the data with two exponentials where the second term describes the cutoff effects imposed by the boundary." - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "def func_2exp(a, x):\n", - " y = a[1] * anp.exp(-a[0] * x) + a[3] * anp.exp(-a[2] * x)\n", - " return y" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can trigger the computation of $\\chi^2/\\chi^2_\\text{exp}$ with the kwarg `expected_chisquare` which takes into account correlations in the data and non-linearities in the fit function and should give a more reliable measure for goodness of fit than $\\chi^2/\\text{d.o.f.}$." - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Fit with 4 parameters\n", - "Method: Levenberg-Marquardt\n", - "`xtol` termination condition is satisfied.\n", - "chisquare/d.o.f.: 0.05399877210985092\n", - "chisquare/expected_chisquare: 0.7915235152330492\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Fit result:\n", - "[Obs[0.2146(65)], Obs[15.15(88)], Obs[0.623(60)], Obs[-9.64(74)]]\n" - ] - } - ], - "source": [ - "# Specify fit range for double exponential fit\n", - "start_de = 2\n", - "stop_de = 21\n", - "\n", - "a = pe.fits.standard_fit(np.arange(start_de, stop_de), p_obs['f_P'][start_de:stop_de], func_2exp, initial_guess=[0.21, 14.0, 0.6, -10], resplot=True, expected_chisquare=True)\n", - "[o.gamma_method() for o in a]\n", - "print('Fit result:')\n", - "print(a)" + "m_eff_fP.show(plateau=fit_result[0])" ] }, { @@ -318,18 +248,18 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "(Obs[-0.08(35)], Obs[0.19(25)])\n", - "(Obs[1.85(35)], Obs[0.34(25)])\n", - "(Obs[4.01(35)], Obs[-1.39(25)])\n", - "(Obs[6.10(35)], Obs[-1.30(25)])\n", - "(Obs[8.08(35)], Obs[-0.37(25)])\n" + "(Obs[0.57(35)], Obs[0.49(25)])\n", + "(Obs[2.53(35)], Obs[0.56(25)])\n", + "(Obs[4.17(35)], Obs[-1.52(25)])\n", + "(Obs[5.97(35)], Obs[-1.40(25)])\n", + "(Obs[7.82(35)], Obs[-0.58(25)])\n" ] } ], @@ -353,7 +283,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -371,7 +301,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -381,18 +311,16 @@ "Fit with 3 parameters\n", "Method: ODR\n", "Sum of squares convergence\n", - "Residual variance: 0.5988333933914471\n", - "Parameter 1 : Obs[-0.01(29)]\n", - "Parameter 2 : Obs[-0.165(55)]\n", - "Parameter 3 : Obs[0.89(23)]\n" + "Residual variance: 0.4144435658518591\n", + "Parameter 1 : 0.26(28)\n", + "Parameter 2 : -0.228(53)\n", + "Parameter 3 : 0.98(22)\n" ] } ], "source": [ "beta = pe.fits.odr_fit(ox, oy, func)\n", "\n", - "pe.Obs.e_tag_global = 1 # Makes sure that the different samples with name length 1 are treated as ensembles and not as replica\n", - "\n", "for i, item in enumerate(beta):\n", " item.gamma_method()\n", " print('Parameter', i + 1, ':', item)" @@ -407,12 +335,12 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -441,68 +369,50 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Parameter 0\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ + "Parameter 0\n", "\n", - "Parameter 1\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ + "Parameter 1\n", "\n", - "Parameter 2\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ + "Parameter 2\n", "\n" ] + }, + { + "data": { + "image/png": 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\n", 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\n", 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\n", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -512,244 +422,6 @@ " print()" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Fitting with priors" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "When extracting energy levels and matrix elements from correlation functions one is interested in using as much data is possible in order to decrease the final error estimate and also have better control over systematic effects from higher states. This can in principle be achieved by fitting a tower of exponentials to the data. However, in practice it can be very difficult to fit a function with 6 or more parameters to noisy data. One way around this is to cnostrain the fit parameters with Bayesian priors. The principle idea is that any parameter which is determined by the data is almost independent of the priors while the additional parameters which would let a standard fit collapse are essentially constrained by the priors." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We first generate fake data as a tower of three exponentials with noise which increases with temporal separation." - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "m1 = 0.18\n", - "m2 = 0.5\n", - "m3 = 0.8\n", - "\n", - "A1 = 180\n", - "A2 = 300\n", - "A3 = 500\n", - "\n", - "px = []\n", - "py = []\n", - "for i in range(40):\n", - " px.append(i)\n", - " val = (A1 * np.exp(-m1 * i) + A2 * np.exp(-m2 * i) + A3 * np.exp(-m3 * i))\n", - " err = 0.03 * np.sqrt(i + 1)\n", - " tmp = pe.pseudo_Obs(val * (1 + err * np.random.normal()), val * err, 'e1')\n", - " py.append(tmp)\n", - " \n", - "[o.gamma_method() for o in py];\n", - "\n", - "pe.plot_corrs([py], logscale=True)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "As fit function we choose the sum of three exponentials" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [], - "source": [ - "def func_3exp(a, x):\n", - " y = a[1] * anp.exp(-a[0] * x) + a[3] * anp.exp(-a[2] * x) + a[5] * anp.exp(-a[4] * x)\n", - " return y" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can specify the priors in a string format or alternatively input `Obs` from a previous analysis. It is important to choose the priors wide enough, otherwise they can influence the final result." - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [], - "source": [ - "priors = ['0.2(4)', '200(500)', \n", - " '0.6(1.2)', '300(550)',\n", - " '0.9(1.8)', '400(700)']" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "It is important to chose a sufficiently large value of `Obs.e_tag_global`, as every prior is given an ensemble id." - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [], - "source": [ - "pe.Obs.e_tag_global = 5" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The fit can then be performed by calling `prior_fit` which in comparison to the standard fit requires the priors as additional input." - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Fit with 6 parameters\n", - "Method: migrad\n", - "chisquare/d.o.f.: 1.100354109100944\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[Obs[0.1795(32)], Obs[186(14)], Obs[0.578(70)], Obs[597(170)], Obs[1.42(83)], Obs[239(173)]]\n" - ] - } - ], - "source": [ - "beta_p = pe.fits.prior_fit(px, py, func_3exp, priors, resplot=True)\n", - "[o.gamma_method() for o in beta_p]\n", - "print(beta_p)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can now observe how far the individual fit parameters are constrained by the data or the priors" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", 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UCJx87YNP7OrPmziOMxO40xgzrtNjZcAeYFyXSzmkLuOsM8Zork+O0yUb6a+fojIieeLtva8vVhnpszLgZ2l6r7GpEtLhBmBe1zLS6XMlD6iQSJ/5AqHTgM/ZziGSDs3Rva+9uec5LfHtn6trqirTUejWAzMdx5mZuhSzyxhzddcXOY5zFamNGB3HeTg1uiI5SnNIpD9+gkqt5IGESWxbUD9/vO0ceaAI+CHJVXf90dhpLshTB3tRaqWNVtvkCf1jIn3iC4TOIDm5TCSnGWMSL+94bGsk0TrCdpY88YWaqsqT+/keZekIIrlFhUT66qfo+0fywNbW9Yu2tKw9x3aOPFJIcpSk11KXXK4nOYdEZ2J5jP5BkV7zBUITgFm2c4j0VzQRWfXi9v+70HaOPPT5mqrKXh96Z4x5yhhzmTHGMcZcn4lg4l4qJNIXP0XbaUuOM8bsf6r+3kGGRDo39JKkQpIjHSI9pkIiveILhM4E/sV2DpH+Wtn40rJ90V0+2zny2JdqqiqPtR1CcocKifTWt9HoiOS4pujuV1Y2vjTddo48NwC41nYIyR0qJNJjvkBoJPB52zlE+iNhElsW1t97hu0cHnF1TVXlMNshJDeokEhvXAUMtB1CpK+MMfFF2/+8K5po1z+S2TEY+JLtEJIbVEikR3yBUBFwje0cIv2xuWXti9ta10+0ncNjvmk7gOQGFRLpqX8FxtgOIdJXkXjbild2PKZ5I9l3Wk1V5aW2Q4j7qZBIT33bdgCRvjLG7FtYP3+4wRTazuJRGl2Vw1IhkcPyBULnAdNs5xDpqzd3P/vW/lijRvjs+XhNVeVxtkOIu6mQSE/oGrDkrMZIw0tv73tDu7HaVQQccFqvSGcqJHJIvkBoENomXnJUwsQ3PF1/nyaxusPXa6oqtSuuHJQKiRzOp4AhtkOI9JYxJvb8tof2x0xkqO0sAsAxwCdthxD3UiGRw/mi7QAifbGhedVLO9o2nmk7h3yANlaUg1IhkYPyBULHAlquJzmnPd6y7LWGJ8pt55ADfKSmqrLMdghxJxUSOZQr0feI5BhjTOOC+vlHoe9dNyoheRlY5AD6H1YORZdrJOfU7Vq4piW27xjbOeSgPms7gLiTCol0yxcInQOcZTuHSG/sbt+66N2mpRfYziGHVFFTVTnadghxHxUSORj9FiM5JW5i7z2z9Y9TbOeQwyoEPm07hLiPCokczCdsBxDpKWNM5NmtD7THTWyQ7SzSI/qFRw6gQiIH8AVC44FTbecQ6al1TW++sqt9y2m2c0iPXVRTVamt/OUDVEikOx+3HUCkp1pj+5cs2fWPGbZzSK84aLWNdKFCIt25wnYAkZ4wxuxcUD//eJL/wElu+bDtAOIuKiTyAb5AaARwke0cIj3x+s4n32uL79eKjdz0oZqqygG2Q4h7qJBIVx8leTKniKs1tG16Ibz/rXNt55A+GwRMtx1C3EOFRLrS/BFxvVgi+s5z2x48z3YO6TddtpH3qZDI+3yBUCH6ASEuZ4xpe2br/SRMvNR2Fuk3/byR96mQSGdnA8NshxA5lLX7Fr++J7J9vO0ckhYTa6oqtc2/ACok8kFaOimu1hLb9/qy3c/o+zS/XG47gLiDCol0puPaxbWMSWxfsGX+ONs5JO102UYAFRL5IBUScSVjjHml4fHN7YmWkbazSNpdbDuAuIMKiQDgC4ROA0bZziHSne2t4Rc2Na/RwXn56diaqsrjbIcQ+1RIpIOuy4srRROR1Yu2PzLNdg7JqPNtBxD7VEikgwqJuI4xpuXp+j+UJkiU2M4iGaU9ZUSFRN6nHRPFdVbvfWXJ3ujOk2znkIxTIREVEgFfIDQKONF2DpHO9kf3vLpizyJNtPaGqTVVlfr3yOP0DSAAk2wHEOksYRJbF9bfe5rtHJI1Q4HTbYcQu1RIBOAc2wFEOhhjEi/teHR7JNFWZjuLZJUmtnqcComARkjERepb3l1U3/LuJNs5JOs0j8TjVEgEYKLtACIA0UT7ypd2PHqR7RxixVm2A4hdKiQe5wuEioFTbOcQMcY0Ldwyf6jBFNnOIlbo55DHqZDIKUCx7RAiK/a8sLwptucE2znEmlE1VZVltkOIPSokcqbtACJ7IztfWr33VV2qEY2SeJgKiZxqO4B4W8LENz1d/4cJtnOIK6iQeJgKiWhDNLHGGBN/YdsjjVETOcJ2FnEFFRIPUyERFRKxZlPzmhe3t4U1OiIdVEg8TIVEVEjEivZ465uvNjyuM5SkMxUSD1Mh8TBfIOQAx9vOId5jjNm7sH7+kQZTaDuLuMp42wHEHhUSbxsNlNoOId6zdPdTq5pje4+znUNcZ0hNVeUw2yHEDhUSb9OeD5J1e9q3v/jOvrpptnOIa422HUDsUCHxNs0fkayKm9h7T2+9X4c5yqGokHiUCom3aYREssYYE31u64NtcRMdbDuLuJoKiUepkHjbkbYDiHe8t3/5yzvbN59uO4e4ngqJR6mQeFuZ7QDiDW3x5ro3dv59hu0ckhNUSDxKhcTbymwHkPxnjNm9YMv8YwHHdhbJCUfZDiB2qJB4m5bXScYt3vn3d1rjTUfbziE5QyMkHqVC4m1ltgNIftvZtmXR+v3Lz7edQ3LKKNsBxA4VEm8rsx1A8lc8EVv33LYHptrOITlniO0AYocKibeV2Q4g+ckY0/7M1j/G4yY20HYWyTkDbAcQO1RIvK3MdgDJT+/uq3ttd2SrDkqTviixHUDsUCHxtkG2A0j+aYk1vVG3+ykt8ZW+0giJR6mQeFTqpF+RtDIm0bCwfr7Pdg7JaRoh8SgVEu9SIZG0MsaYVxue2NAWb9YqCekPFRKPUiHxLhUSSasdbRtf2Ni8WqtqpL90ycajimwHEGtUSCRt6iMNLZu3PVxhO4fkBY2QeJQKiYj026OJ0mNmHXHVfpxYozHRNkwkYkw0gmmPYaJRY9pjEIkbE0lgIgljImAiBhN1jIk6EC3AxAoMsSJMvAjixZhEMSQGQKIETClQCgxEI7v5ToXEo1RIvEsjJJI24dKiSfVtsQXHMfTyTH9jGRNrx8TaINqm8pOXjO0AYocKiXepkEhaPTIkMe1b+yLLCgpKJmXycxynaABO0QAoHZad8hNtg1irMZEIJtqe/DMSxURixkRimEjcEElg2o0x0QQm4mAiJMtPrAATLTQmXgixYkgUYeIlYEqSBcgMIFl8BqL/Jzu02w4gdqiQiEhaRIpKhj7rbGq91Izdi+PkxcGN/yw/ZKv8tKZGftr/OfITiWIiUWMicUx7cuSHjpGfqMFEOkZ+CjGxAmPiRRArhEQJJl7cqfx0Hvlxc/mJ2A4gdjjGaHTMq3yBUBwNSUuafXPTuseHDD3rCts55OCMibUlR36iranS025MJErq0ldq5CdhTCQOEWNMxCRHfqIYEy2AqIOJFRoTK4R4McSLMIkBkChOFp/3R35K6X352XHtg08clf7/anE7jZB4WxOQF7/Jinvcd9RRF35rd8ML0dJR2q3VpRynqBSnqBQGlmV+5Cfahom1YqLtho45P5EIydKTGvmJxIxpNxBNYGJ7MhxJXEqFxNv2oUIiadZUMmTkG9ElnFMyfKMpKDrBdh6xy3GKS3GKS2FgT4dKVmc2kbiVhuu9bZ/tAJKfFh4/ZcagLU+swJiY7SySc/bbDiB2qJB4mwqJZMxtJ0+dNHzX8uds55Cco0LiUSok3qZCIhmza+DI41Yk1hUURZuX284iOaXJdgCxQ4XE21RIJKP+dMpHLjlu7e8bMGav7SySM3baDiB2qJB4mwqJZJjj3DSp8iTfe39dajuJ5IyttgOIHSok3rbbdgDJf1sHHzN2ZfHu2ODm+pdsZ5GcsM12ALFDhcTbNtsOIN5w+1mfvnjcyjuKnER8k+0s4noqJB6lQuJt+sdBssMpLP7xtM8NnbDijgaMiduOI66mQuJRKiTepkIiWfPe0JPOeGsIu0Y31C2ynUVcTYXEo1RIvE2FRLJq7jlfmD527X1HFkVbtBRYDkaFxKNUSLxtBzpZU7IoUVAy8McXXRmZUjdnKMZolZd0tb+6tkIbo3mUComHhYN+gya2SpatHH7m5NVlg98dt/4vK2xnEdfZaDuA2KNCIrpsI1l347lfP++YLc8cPah5q5YCS2dv2w4g9qiQiAqJZF20oHTYL6Z9evuUulvOdBJxjdJJBxUSD1MhkbW2A4g3vTbq3AvfGV62ZOKKO/ZoKbCkqJB4mAqJvGU7gHjXD6b9+4RhjWvKRjUs1VJgARUST1MhERUSsaatcNjoX533sXVnrbp7elGsRZNcRYXEw1RIZB3QajuEeNfTx1zyoY1lw16cumROmZYCe1pDdW2FztfyMBUSjwsH/Qlgte0c4m3fm3712NK2hpJx6x/TKIl3aXTE41RIBHTZRixrKhp1wu8mXbz8xE0LL9JSYM/SL0Yep0IioEIiLvCXE/2Xbh8y+MUpdTVnaSmwJ71hO4DYpUIioEIirlBQ8P9mXH1UUbw1MXHFHbu1FNhzXrcdQOxSIRGApbYDiADsLDl2/ANnTX195J7VE0ftXPai7TySNS3oFyPPUyERwkH/NmC97RwiAPee/OlL9gwc8PqZq+6+qDDWqn+kvKGuurZCI2Iep0IiHTSRUFyisOR7F3+11DGJ1nOXzDkCY5psJ5KM0+UaUSGR92l4XFxjS+m4iaFTznhxUOuOE8a+9/hy23kk416zHUDsUyGRDiok4iq/PePKGftLipb6Nv7jokEt2162nUcySiMkokIi71sNaJdEcZEBgwMfujJmoHXKEp0KnMd2VNdWhG2HEPtUSASAcNBvAP0WKq6ybtCEc58/yfd8cbx12MS3arUUOD89YzuAuIMKiXSmia3iOnPP/sp5bUUFK0fuXjXxyJ1v6lTg/LPAdgBxBxWSPOA4zkzHcR5Ow1u9kIb3EEmrBINH/OTiT+0xED1r1e+naylw3lloO4C4gwpJDnMcZ7LjOLOBTwNj0/CWrwN70/A+Imm1fOgF05eMOfrpApMo0lLgvLK6urZCc4MEUCHJacaYOmPM9aTpN4xw0B8DnkrHe4mk241Tv352pNB5d1DrjhNOCj/xpu08khYaHZH3qZBIV3+zHUCkO1HKjglO/8gGA4mTNvx9+sCW7ZqEnfs0f0Tep0KSAxzHme04zizHca5zHOeqDH+cCom41ivDL61YM3r40wBT6+ae6STiW2xnkj6LAM/ZDiHuoULico7jLAQWGmMeMcbMAS5zHGdmpj4vHPTXo8P2xL2cH1747+NjBWwsjrUOm7By3k6MSdgOJX3ycnVtRbPtEOIeKiQu5jjOZGCqMabzvI6FwNUZ/ui/Zvj9RfqshdG+X0+bsRrgyF1vnX3kruVaHZab/mI7gLiLCom7TQV2py7XzHIcZxZQBryR4c9VIRFXe2pU5czwiCHPAJy18q7phbHWlbYzSa8Y4BHbIcRdVEhyQOpyTcdtTurSTcaEg/46YFMmP0OkfwoKA+VfPTbhsLXAJIqmLpk7BGP2204lPfZydW2F5v/IB6iQuNtiutlfxHGcdOw5cjjp2GhNJGP2Oiecdte5U5YCDG7dfuJJ4dAyy5Gk5x6yHUDcR4XExYwxdcAjnVfWOI5TBkzu8tIRGfj4+zLwniJp9eixn7502xEDFgGctOFv0we27HjFdiY5LF2ukW45xhjbGeQwUrux7gIagd3GmEdSj08GqoBZJEdS5gFLjDHz0vG5vkDoLeDMdLyXSKaMSqxdds9f5x1fACOjRQP3LrpodjNO4bG2c8lBvVhdW1FuO4S4j0ZIcoAx5vrU3JF5HWUk9Xhd6rlxxhjHGHN1uspIyv1pfC+RjGgoOGXSQ5NOfxWgONY6bOJb8xq0FNjVdLlGuqVCIodyP8nhVRFXmz/2yhm7BxW/CsmlwCN3rdCpwO6UQJdr5CBUSOSgwkH/RkA/2MX9EqVDAxVVGNgHMGHl7y4sjLWtsh1LDvCP6tqKrbZDiDupkMjhaHKr5IRNRZMuePL0ExcBFJhE8dS6OYO1FNh10nlJWfKMCokczsNAu+0QIj3xm9O+ckHTgII6gMEt20/0bXhymeVI8k/1wBO2Q4h7qZDIIYWD/ka0J4nkCjNk5A8v/USTgVaAseEnpw9sbdBSYHe4u7q2ImY7hLiXCon0xP/YDiDSU2tLLrr4hZOPeqbj/tQlc07HxOttZhISwF22Q4i7qZDIYYWD/jeA12znEOmpWyZ+dVJrsfMWQHGspWzCW3ft0FJgqxZU11ZssB1C3E2FRHrqNtsBRHoqlhh53I0VM7cbiACM2rV80sjdb+lUYHs0mVUOS4VEeuphYLvtECI9tWzg5RVLThj+/qWbCW/Nu0hLga2oBx63HULcT4VEeiQc9EeAO23nEOk5x/n5uV8bHynkHUguBZ5Sd8tAjGm2ncxjfqXJrNITKiTSG7VA1HYIkZ5qjx89bvYlF64zEAcY0rL1JN+Gv9XZzuUhjSR/bogclgqJ9Fg46N+KlgBLjnl5yCdnrj528NMd98eGQ+UDWxtetZnJQ+6orq1osh1CcoMKifRWEJ1vIzmloOjH075yXKyAcMcjU5fMPRUT1xbmmdUG/Mp2CMkdKiTSK+GgfwXwqO0cIr3RHPedeVv5pFUmVaaLY83DJ6y8a5uWAmfUPdW1FTtsh5DcoUIifXEjGiWRHLNgxGcueW9U6furbkbtXH7OiN2rdHhkZsSBubZDSG5RIZFeCwf9bwKP2c4h0iumZOCPyj9XFnd4f9fWiW/VXlgYa1ttM1aeeqS6tmK97RCSW1RIpK9utB1ApLd2J86ccve0U5Z03E8tBS7VUuC0MsBNtkNI7lEhkT4JB/1Lgb/aziHSW/939Bdm1JcVv79r65CWrSeduPEfWgqcPn+qrq1YYTuE5B4VEumPn9kOINJriYHDfnDJvxYlYGfHQ+Pee7y8tHWnlgL3Xwz4se0QkptUSKTPwkF/HZpLIjlom5l64UNTj3+l82PnLplzKiahpcD98/vq2op1mXhjx3HKHMe5KnWb7TjOnY7jlGXis8QOFRLpr++h3VslB/3hxC+fv2tI4fujIsWx5uFnJZcCawVZ3zST2VHT2cBiY8w8Y8z1qce0UWMeUSGRfgkH/e8Av7GdQ6S3EvFho39w2UfbDOzteGz0zjfPGbFn9fM2c+WwmuraikyOMI0FZna6v67LfclxKiSSDjfS6Xq8SK7YYD70oScnjn6h82MTV9xxUWG8XUuBe2c7Gd53xBhzmTFmTqeHxgFPZfIzJbtUSKTfwkF/I5rIJjmq9tSvTtpX6nS3FLjFZq4c8+Pq2or9fflCx3FmOY6zJHWblZojcp3jOLMP8TUdoyVX9zWwuI8KiaTLPOAt2yFEeisWPfL4n1z+od0G3i8gQ5rrTzpx44Ilh/o6ed8bwF19/WJjzCPAzcBkoC41R2QOgOM4d3Z9veM4V5GcO3K1MUabr+URFRJJi3DQHwe+azuHSF+sKfjYpc+dVvZs58fGvffX8tLWXa/ZypQj4sA3qmsr+nsmUCOwvkvBuBm4KjUa8r5UYZkCXO84znX9/FxxERUSSZtw0P8U2ixNcpJT8MsJXz6lpYQPbOg1tW72eExim61UOeD26tqKdG0q19j5jjGmMfXY5IO8fjYwu2thkdylQiLp9p9An64li9gUjY4Z//PLz9tsINLxWEm0ecRZq+6u11Lgbm0FfpiND0rtQfJwl31HOkZTtNImT6iQSFqFg/4NwPdt5xDpi6VFn7r0jbGDn+782OiGpZNH7Fn9wsG+xsO+W11bsS+N71fW+U6qfJQBdfxzye+Ibl6veSR5QoVEMuE3wEu2Q4j0XlFJcOrnj2svYm3nRyeuqJ1WEG9fYyuVCy2orq14MM3vObbLCMgNwDxjzHpjTF3H3zs9X0VyEqyW/uYJFRJJu3DQb4CvAe22s4j0Vmtk/MRbZk5Ya5ITNgEoMPGSqXW3lGgpMABtQHUG3nc9MNNxnJmpyaq7jDGdl/XenNoyfnZqSXAZcGkGcoglji6NSqb4AqHvo2PIJQc5Tnvz7MU3vjRhU/vlnR9/d+wnXth4wuUzbOVyiWuraytuTecbOo4zE5idWj0jHqUREsmkOcBS2yFEesuYAYNvvPCzI6IFhDs/fvL6x2aUtnl6KfAzwC8z9N5lGXpfyREqJJIx4aA/RvLSTcx2FpHe2t8+YepvK8atMPCBYeSpS+acjElst5XLokbgy9W1FWkdVk+NjlxPcg7JQXdnlfynQiIZFQ76l5LZE0BFMmbBEV+cvu6o4g9smFYS3T/yrFV3b/HgUuDq6tqKTel+U2PMU6lzapxOp/iKB6mQSDb8Anj6sK8ScRmTGDz8Zxd/fEDcYUvnx0c3LJ08fM/bXloK/EB1bcUfbYeQ/KZCIhkXDvoTwBeAHbaziPTWzsi0i+4uP+6A3UjPXnH7tIJ4+9s2MmXZFuAa2yEk/6mQSFaEg/6twBfpcj1eJBc8NvrL524eUfiBEZECEy+ZUldThDGttnJlgQG+Ul1bscd2EMl/KiSSNeGg/x/AXNs5RHorHht+9E9mXhZLODR0fnxo85ZxJ2x6arGtXFlwY3VtxULbIcQbVEgk234AvGo7hEhv1UdmXvLA+Uce8L178vq/lA9o2/26jUwZ9iSakC5ZpEIiWZVaCvw5upzsKZIDnAeO/8qEhiOcV7o+ce6S2ePybCnweuDz6V7iK3IoKiSSdeGgP0yylMQP81IRV4lGj/L9+CMXNRnY2/nxkuj+kWeuumdzniwFbgU+pXkjkm0qJGJFOOj/O/A92zlEeiscueLSv04e9mLXx49qWDJleOPafFgKfFV1bcWbtkOI96iQiDXhoP+XwO9t5xDpncLC34//0ri9g1jS9Zmzl99+QY4vBf5NdW3FfbZDiDepkIht1wCLbIcQ6Y1o+wmn/exjUxoMNHd+vMDEBkxZemuuLgV+Afgv2yHEu1RIxKpw0B8BPgUfPMRMxO3WxGZd8sxZgw64RDN0/+Zxx29++g0bmfphFfDJ6tqKqO0g4l0qJGJdOOjfCVwBNNnOItJThuIBt0248tjmASzv+tz4dY/OyKGlwFuBj2oSq9imQiKuEA7630IrbyTHtLeeevZNHzt9k4H2rs+du2TOWEzC7cclNAEfq66t2Gg7iIgKibhGOOgPAVfZziHSG8u4csarpwx4ruvjJdGmI89cfc9GFy8FjgGzqmsrltkOIgIqJOIy4aD/bkBHkEvOMKZ0aM3UWWVtxazp+txRO5ZMLXPvUuB/r66tWGA7hEgHFRJxnXDQPwe4xXYOkZ5qbjnn/JqP+N41yVGHD5i0/PYLCuKRtTZyHcJPqmsr7rEdQqQzFRJxpXDQ/z3gTts5RHrq5eIvTVt+YtGzXR9PLQUuwJg2G7m6EayurbjRdgiRrlRIxM2uAe63HUKkJxKJoSNnT/9YabSQ97o+N3T/ppOP3/yMG1bdzK2urbjBdgiR7qiQiGuFg/4E8GXgUctRRHpkT/OM8tsuP3qlgUTX58av+78ZA9r22Nyf5Nbq2orrLH6+yCGpkIirpU4H/gzwoO0sIj3x7OCvnrP22ILnu3vu3CWzT8IkGrKdCfhVdW3FtRY+V6THVEjE9VKl5N+A/7WdReRwYrERx91UcYmJF7C563Ml0aYjz1g9f0OWlwLfVl1b8d0sfp5In6iQSE5IXb75GvAb21lEDqdh/0cv+d0lI7o9MffoHYunlu19J1vnN/22urbiP7P0WSL94rh3zx6R7vkCoZuBgO0cIodSUrJ1/W3P3rr5hAYzo+tzCaeo/YXpczcmCkvGZzDCz6prK36awfcXSSuNkEjOCQf9NwA/tJ1D5FAikWPG3vjh89sSDgdsH59aCuxkaClwAviGyojkGhUSyUnhoP8m4DuAhvjEtbbs/5eK+8uHLu7uuaH7N508Zsuz6V4K3EZyO3jt4SM5R4VEclY46P81MAtosZ1FpHuFRX8+9ou+7cN4pbtnT3n3zzMGtDemaylwI/Dh6toKLZOXnKRCIjktHPT/H3AxySPURVynve2kM37mn7jXwJ7unp+6OOhLw1LgLcCM6toKt56bI3JYKiSS88JB/2LgPGCZ5Sgi3Qq3fPbiv5w36LXunhsQbRp1xpp7N/Tj7ZcBF1bXVqzox3uIWKdCInkhHPRvBsqBJ2xnEenKUDJw/vjPHrVnMN1enjl6+xtTyxrf6XYztcN4ALiourZiY/8SitinZb+SV3yBUAHJk4K1EZS4zmkD7/zbrX96p9yBIV2fixcUtS26aO6mHi4FjgM3VNdWzE1/ShE7NEIieSUc9CfCQf9/kdxErdV2HpHO1rZ/4cIFkwa82N1zhYlY6eRlv6QHS4H3AB9TGZF8o0IieSkc9N8NnA+8bTuLSIdEYtCwOyd8omx/Kcu7e/6Ipo3jx2x5vtu5JilvAedW11YsyExCEXtUSCRvhYP+FcBU4E+2s4h0aG0674JffPz4zSa5Z8gBTnn34YtL2hu727vkYeCC6tqKdZlNKGKH5pCIJ/gCoauBXwGllqOIUFi4b8f1q3+xrHxV7PLunm8vOaLhpWk3gVMwiuSlx+9U11bMy25KkezSCIl4QjjovxOYBrxrO4tIPH7E6NvOvay0tZjV3T0/ILJv1Olr7gsDy4GpKiPiBSok4hnhoH8ZMBm413IUEZr2Xjpj7hWjwwai3Txtjtn+2iunr/nDedW1FauyHk7EAl2yEU/yBUJXAHcCx9jOIt5VXLRr00+Wzl47ZV3i0k4PbwG+evqa1Zq4Kp6iERLxpHDQ/zhwJhotEYuisZHH31o+nUghHRNV/wCcpTIiXqQREvE8XyBUSXK05FjbWcSLEonLonMf+q9Qw32nr1kdsp1GxBYVEhHAFwiVkVyF8yW7ScRjEsAdwPfDQf8+22FEbFIhEenEFwhdBvwPcJrtLJL3VgBXhYP+V20HEXEDFRKRLnyBUDHwLeAnwBGW40j+2Qv8N/A/4aC/uxU2aeU4znWpv54LrDfGXJ/pzxTpCxUSkYPwBUJHATcDXwYcu2kkD8RJzlX6STjo35mND3QcZ3bnAuI4zsMAxphPZ+PzRXpDhUTkMHyB0HkkL+OcbzuL5Ky/A9eGg/6s7CniOM5VwNkky/RsY8yNqccnA0uAccaY9dnIItJTWvYrchjhoP91kru8fgkI200jOWYV8NFw0P/RLJaRnwOfAwYBA4BWx3Fmp57uKCFjs5FFpDc0QiLSC6n5JV8DfgCMsRxH3Gsz8Avgd+GgP5buN3ccZxZwQ+ruzcAIoAwYCcwCLiO5K/ENxpgpjuPsMcYM1wiJuJkKiUgf+AKhAcBVJP9R0G6v0mEDEATuDgf9kUx+UKqUPEyncuE4zq+AbxtjnI7SkiokBpgCXA2MNcZclslsIn2hQiLSD75AaCDwDSAAjLYcR+xZT3KkYn6mVs44jnML8M3U3TtIzhG5EFhhjLkg9ZoZwPPAOLqMkJAcsfkGMMUY05iJjCL9oUIikga+QGgQyR/23wJ8dtNIFr1D8h/6+zJxaaarVCm5FvgQUAzMJnk43xHGmDMcx5kJLAQ6VtF0FJJ1QDtwocqIuJUmtYqkQTjobwkH/bcCJ5O8hv+S5UiSWS8BnwVODwf992SjjKRsB2LGmOc7PVYFnO44zsWH+LojgftURsTNimwHEMkn4aA/DvwZ+LMvEJoKfAf4DMnfZiW3tQB/BH4TDvrftJij89yUMmPMhtQckSuAv6YeryN5yaZjCTDA2tT9samvq8tSXpEeUSERyZBw0L8Y+LwvELoOqAb+HRhlN5X0wXrgdpITVffYDtPFWMdxyjrd/1Tqz92pP8tStyOAI1MTXS8DtFuruI4KiUiGhYP+euAHvkDopyR/i/0q8BGg0GYuOaQo8DdgHvC3cNCfsJyns5JOf19P8tKRAwwG3ks9NoLkPiRjSc4zgeREWACMMVdnJalIL2hSq4gFvkDoGODzwBeACZbjSJIBFgH3A4+Eg/7dh3l91jmO8z1gDsmJ0+PpMqk19ZqrSI6KNJJc5nsnyUs0c7KfWKTnVEhELPMFQhNJlpMq4ATLcbxoBckS8qdw0L/RdphDSRWSXwC/BoaS/L55zhjj7/SayUANcCbJS4RvArcbY+ZlP7FIz6mQiLiILxCaBHwc+ASpSYmSdgZYBoSAh8JB/wq7cXouVUh+SvL743pgJjBHJ/hKPlAhEXEpXyA0hmQ5+ThwCR+cOyC900Ryf44ngSfDQf9Wy3n6pGOExBijVVuSd1RIRHKALxAaSnJ1xMWp2wS0j9ChGGA1yVN2nwQWZXor90xLlZEAyQmrr3XsziqSL1RIRHKQLxAqA6aTLCczSF7e8fKquVbgDeBlkpuWvezGSakicnAqJCJ5wBcIDQGmkSwmZ6dup5KfS4sTJJe2vsk/C0hdps6QEZHsUCERyVO+QKiU5EqLjoIyETiD3DkE0ABhYGWX2+pw0N9qMZeIZIAKiYjHpE4oPpHkXha+Ln8/ARgJDMhClHZgK1Cfum1M3TakbmvDQX9zFnKIiAuokIjIAVKlZTjJDbY6/zmc5I6gBV1uTpe/t5Bc2dIE7O/0947bHhduwy4iFqmQiIiIiHVaNigiIiLWqZCIiIiIdSokIiIiYp0KiYiIiFinQiIiIiLWqZCIiIiIdSokIiIiYp0KiYiIiFinQiIiIiLWqZCIiIiIdSokIiIiYp0KiYiIiFinQiIiIiLWqZCIiIiIdSokIiIiYp0KiYiIiFinQiIiIiLWqZCIiIiIdSokIiIiYp0KiYiIiFinQiIiIiLWqZCIiIiIdSokIiIiYp0KiYiIiFinQiIiIiLW/X+Jh6+x/1pUAgAAAABJRU5ErkJggg==\n", 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\n", 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "[o.plot_piechart() for o in beta_p];" - ] - }, { "cell_type": "code", "execution_count": null, @@ -760,7 +432,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -774,7 +446,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.9" + "version": "3.8.10" } }, "nbformat": 4, diff --git a/examples/05_matrix_operations.ipynb b/examples/05_matrix_operations.ipynb index d5e1da95..926d1734 100644 --- a/examples/05_matrix_operations.ipynb +++ b/examples/05_matrix_operations.ipynb @@ -51,7 +51,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The standard matrix product can be performed with @" + "The standard matrix product can be performed with `@`" ] }, { @@ -101,13 +101,38 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Mathematical functions work elementwise" + "For large matrices overloading the standard operator `@` can become inefficient as pyerrors has to perform a large number of elementary opeations. For these situations pyerrors provides the function `linalg.matmul` which optimizes the required automatic differentiation. The function can take an arbitray number of operands." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[Obs[78.12099999999998] Obs[-22.909999999999997]]\n", + " [Obs[-22.909999999999997] Obs[7.1]]]\n" + ] + } + ], + "source": [ + "print(pe.linalg.matmul(matrix, matrix, matrix)) # Equivalent to matrix @ matrix @ matrix but faster for large matrices" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Mathematical functions work elementwise" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -126,12 +151,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "For a vector of `Obs`, we again use np.asarray to end up with the correct object" + "For a vector of `Obs`, we again use `np.asarray` to end up with the correct object" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -160,14 +185,14 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[Obs[7.2(1.7)] Obs[-1.00(45)]]\n" + "[Obs[7.2(1.7)] Obs[-1.00(46)]]\n" ] } ], @@ -182,40 +207,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Matrix to scalar operations\n", - "If we want to apply a numpy matrix function with a scalar return value we can use `scalar_mat_op`. __Here we need to use the autograd wrapped version of numpy__ (imported as anp) to use automatic differentiation." - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "det \t Obs[3.10(28)]\n", - "trace \t Obs[5.10(20)]\n", - "norm \t Obs[4.45(19)]\n" - ] - } - ], - "source": [ - "import autograd.numpy as anp # Thinly-wrapped numpy\n", - "funcs = [anp.linalg.det, anp.trace, anp.linalg.norm]\n", - "\n", - "for i, func in enumerate(funcs):\n", - " res = pe.linalg.scalar_mat_op(func, matrix)\n", - " res.gamma_method()\n", - " print(func.__name__, '\\t', res)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "For matrix operations which are not supported by autograd we can use numerical differentiation" + "`pyerrors` provides the user with wrappers to the `numpy.linalg` functions which work on `Obs` valued matrices. We can for example calculate the determinant of the matrix via" ] }, { @@ -227,26 +219,21 @@ "name": "stdout", "output_type": "stream", "text": [ - "cond \t Obs[6.23(58)]\n", - "expm_cond \t Obs[4.45(19)]\n" + "3.10(28)\n" ] } ], "source": [ - "funcs = [np.linalg.cond, scipy.linalg.expm_cond]\n", - "\n", - "for i, func in enumerate(funcs):\n", - " res = pe.linalg.scalar_mat_op(func, matrix, num_grad=True)\n", - " res.gamma_method()\n", - " print(func.__name__, ' \\t', res)" + "det = pe.linalg.det(matrix)\n", + "det.gamma_method()\n", + "print(det)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Matrix to matrix operations\n", - "For matrix operations with a matrix as return value we can use another wrapper `mat_mat_op`. Take as an example the cholesky decompostion. __Here we need to use the autograd wrapped version of numpy__ (imported as anp) to use automatic differentiation." + "The cholesky decomposition can be obtained as follows" ] }, { @@ -259,12 +246,12 @@ "output_type": "stream", "text": [ "[[Obs[2.025(49)] Obs[0.0]]\n", - " [Obs[-0.494(51)] Obs[0.870(29)]]]\n" + " [Obs[-0.494(50)] Obs[0.870(29)]]]\n" ] } ], "source": [ - "cholesky = pe.linalg.mat_mat_op(anp.linalg.cholesky, matrix)\n", + "cholesky = pe.linalg.cholesky(matrix)\n", "for (i, j), entry in np.ndenumerate(cholesky):\n", " entry.gamma_method()\n", "print(cholesky)" @@ -321,7 +308,7 @@ } ], "source": [ - "inv = pe.linalg.mat_mat_op(anp.linalg.inv, cholesky)\n", + "inv = pe.linalg.inv(cholesky)\n", "for (i, j), entry in np.ndenumerate(inv):\n", " entry.gamma_method()\n", "print(inv)\n", @@ -334,59 +321,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Matrix to matrix operations which are not supported by autograd can also be computed with numeric differentiation" + "## Eigenvalues and eigenvectors\n", + "We can also compute eigenvalues and eigenvectors of symmetric matrices with a special wrapper `eigh`" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "orth\n", - "[[Obs[-0.9592(76)] Obs[0.283(26)]]\n", - " [Obs[0.283(26)] Obs[0.9592(76)]]]\n", - "expm\n", - "[[Obs[75(15)] Obs[-21.4(4.1)]]\n", - " [Obs[-21.4(4.1)] Obs[8.3(1.4)]]]\n", - "logm\n", - "[[Obs[1.334(57)] Obs[-0.496(61)]]\n", - " [Obs[-0.496(61)] Obs[-0.203(50)]]]\n", - "sinhm\n", - "[[Obs[37.3(7.4)] Obs[-10.8(2.1)]]\n", - " [Obs[-10.8(2.1)] Obs[3.94(68)]]]\n", - "sqrtm\n", - "[[Obs[1.996(51)] Obs[-0.341(37)]]\n", - " [Obs[-0.341(37)] Obs[0.940(14)]]]\n" - ] - } - ], - "source": [ - "funcs = [scipy.linalg.orth, scipy.linalg.expm, scipy.linalg.logm, scipy.linalg.sinhm, scipy.linalg.sqrtm]\n", - "\n", - "for i,func in enumerate(funcs):\n", - " res = pe.linalg.mat_mat_op(func, matrix, num_grad=True)\n", - " for (i, j), entry in np.ndenumerate(res):\n", - " entry.gamma_method()\n", - " print(func.__name__)\n", - " print(res)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Eigenvalues and eigenvectors\n", - "We can also compute eigenvalues and eigenvectors of symmetric matrices with a special wrapper `eigh`" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, "outputs": [ { "name": "stdout", @@ -395,8 +337,8 @@ "Eigenvalues:\n", "[Obs[0.705(57)] Obs[4.39(19)]]\n", "Eigenvectors:\n", - "[[Obs[-0.283(26)] Obs[-0.9592(76)]]\n", - " [Obs[-0.9592(76)] Obs[0.283(26)]]]\n" + "[[Obs[-0.283(26)] Obs[-0.9592(75)]]\n", + " [Obs[-0.9592(75)] Obs[0.283(26)]]]\n" ] } ], @@ -421,7 +363,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -451,7 +393,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -465,7 +407,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.9" + "version": "3.8.10" } }, "nbformat": 4, diff --git a/pyerrors/correlators.py b/pyerrors/correlators.py index e074f95c..6759a49c 100644 --- a/pyerrors/correlators.py +++ b/pyerrors/correlators.py @@ -522,7 +522,7 @@ class Corr: if self.N != 1: raise Exception("Correlator must be projected before plotting") if x_range is None: - x_range = [0, self.T] + x_range = [0, self.T - 1] fig = plt.figure() ax1 = fig.add_subplot(111)