From 970e9a9aaeb3579e331e9e3f29fed51320f719fa Mon Sep 17 00:00:00 2001 From: a308dc99373eb1db581156a44d010769 Date: Thu, 9 Apr 2020 18:12:19 +0000 Subject: [PATCH] update work on oscillating part --- module3/exo3/exercice.ipynb | 306 ++++++++++++++++++++---------------- 1 file changed, 169 insertions(+), 137 deletions(-) diff --git a/module3/exo3/exercice.ipynb b/module3/exo3/exercice.ipynb index 491bb75..be6d376 100644 --- a/module3/exo3/exercice.ipynb +++ b/module3/exo3/exercice.ipynb @@ -3544,7 +3544,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 11, @@ -3598,7 +3598,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 12, @@ -3645,7 +3645,7 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, "execution_count": 13, @@ -3734,7 +3734,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 15, @@ -3774,7 +3774,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 16, @@ -3809,7 +3809,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -3823,7 +3823,7 @@ " 3.35, 3.36, 3.37, 3.38, 3.39, 3.4 , 3.41, 0.04])" ] }, - "execution_count": 42, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } @@ -3832,27 +3832,35 @@ "x=data['Date Excel'].values\n", "a=data['seasonnal_diff'].values\n", "i_locmax=np.r_[True, a[1:] > a[:-1]] & np.r_[a[:-1] > a[1:], True]\n", - "a[i_locmax]" + "plt.plot(x,a)\n", + "plt.plot(x[i_locmax],a[i_locmax])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Le dernier point n'est pas vraiment un maximum local. On le retire de l'enveloppe." ] }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 34, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "
" ] @@ -3864,10 +3872,57 @@ } ], "source": [ + "i_locmax[-1]=False #on retire le dernier point car il n'est pas vraiment un maximum local\n", "plt.plot(x,a)\n", "plt.plot(x[i_locmax],a[i_locmax])" ] }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n", + "2.761e-05 x + 2.207\n" + ] + }, + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "y_env = a[i_locmax]\n", + "x_env = x[i_locmax]\n", + "poly = np.poly1d(np.polyfit(x_env, y_env, 1))\n", + "print(poly)\n", + "#xp = np.linspace(0, 7, 100)\n", + "plt.plot(x,a)\n", + "plt.plot(x, poly(x), c='r')" + ] + }, { "cell_type": "code", "execution_count": 32, @@ -3877,134 +3932,111 @@ "name": "stdout", "output_type": "stream", "text": [ - "[ True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True True True\n", - " True True False False False False False True True True]\n", - "[False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False False False\n", - " False False True True True True True False False False]\n" + "La durée moyenne entre deux maxima locaux est de 365.2 jours\n" ] } ], - "source": [] + "source": [ + "T=np.mean(x_env[1:]-x_env[:-1])\n", + "print('La durée moyenne entre deux maxima locaux est de %.1f jours' %T)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "L'oscillation saisonnière ressemble à un signal de la forme $(At + B) \\sin(\\omega t+\\phi)$ avec $\\omega = 2 \\pi f$ et $f = \\frac{1}{T}$" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-365.24252793394163\n" + ] + } + ], + "source": [ + "omega=2*np.pi/T\n", + "\n", + "# condition initiale\n", + "phi=np.arcsin(a[0]/poly(x[0]))-omega*x[0]\n", + "print(phi)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "test=poly(x)*np.sin(omega*x+phi)\n", + "plt.plot(x,a)\n", + "plt.plot(x,test,c='r')\n", + "plt.margins(x=-0.45)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les pics maximaux sont plutôt bien suivis mais les minimaux ne correspondent pas." + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3.102903225806458\n", + "-3.306129032258065\n" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "i_locmin=np.r_[True, a[1:] < a[:-1]] & np.r_[a[:-1] < a[1:], True]\n", + "i_locmin[0]=False\n", + "plt.plot(x,a)\n", + "plt.plot(x[i_locmin],a[i_locmin])\n", + "y_env_min=a[i_locmin]\n", + "x_env_min=x[i_locmin]\n", + "print(np.mean(y_env))\n", + "print(np.mean(y_env_min))" + ] }, { "cell_type": "code", -- 2.18.1