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Exercise 4_7.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Exercise 4_7.ipynb",
"version": "0.3.2",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"accelerator": "GPU"
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/enakai00/1aab6ed14c41603dc2be41f277609c86/exercise-4_7.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "3XWQlj037qLa",
"colab_type": "text"
},
"source": [
"## Value iteration implementation of the Jack's car rental problem.\n",
"\n",
"The code is written in C. See [car_rental.c](https://github.com/enakai00/rl_book_solutions/blob/master/Chapter04/car_rental.c)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "9ZhYj5DC9NgX",
"colab_type": "text"
},
"source": [
"### Visualization of the result."
]
},
{
"cell_type": "code",
"metadata": {
"id": "z-RXzWbMyGZx",
"colab_type": "code",
"colab": {}
},
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from mpl_toolkits import mplot3d"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "6FFHJqRoTvF0",
"colab_type": "code",
"colab": {}
},
"source": [
"policy = np.array(\n",
"[[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4],\n",
" [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3],\n",
" [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2],\n",
" [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2],\n",
" [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1],\n",
" [ 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 4, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 4, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 5, 4, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 5, 5, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 5, 5, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 5, 5, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 5, 5, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 5, 5, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 5, 5, 5, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 5, 5, 5, 4, 3, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 5, 5, 5, 4, 4, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0],\n",
" [ 5, 5, 5, 5, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0]])"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "3urJcutsT860",
"colab_type": "code",
"outputId": "d68a1bd6-69e0-478c-96ed-3eb25fc38481",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 364
}
},
"source": [
"sns.heatmap(policy, annot=True)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f44dc7a42e8>"
]
},
"metadata": {
"tags": []
},
"execution_count": 4
},
{
"output_type": "display_data",
"data": {
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ToqtLz8jA/M++RqO33sfd+PtW7ZAlZoQOOuigQ0tMkRZk34dn0YI3KigUTiWKF/6NkjtS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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 576x396 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "8nyFYZM7UMkD",
"colab_type": "code",
"colab": {}
},
"source": [
"value = np.array(\n",
"[[421, 431, 441, 451, 460, 469, 477, 485, 493, 500, 508, 515, 522, 528, 535, 541, 547, 552, 558, 563, 568],\n",
" [431, 441, 451, 461, 470, 479, 487, 495, 502, 510, 517, 524, 530, 537, 543, 549, 554, 560, 565, 570, 574],\n",
" [441, 451, 461, 470, 479, 488, 496, 504, 512, 519, 526, 532, 539, 545, 551, 556, 562, 567, 572, 576, 581],\n",
" [450, 460, 469, 479, 488, 497, 505, 513, 521, 528, 534, 541, 547, 553, 558, 564, 569, 574, 578, 583, 587],\n",
" [458, 468, 477, 487, 496, 505, 513, 521, 528, 535, 542, 548, 554, 560, 566, 571, 576, 580, 585, 589, 593],\n",
" [466, 475, 485, 494, 504, 512, 520, 528, 535, 542, 549, 555, 561, 567, 572, 577, 582, 587, 591, 595, 598],\n",
" [473, 483, 492, 502, 510, 519, 527, 535, 542, 549, 555, 561, 567, 573, 578, 583, 588, 592, 596, 600, 603],\n",
" [481, 490, 500, 508, 517, 525, 533, 541, 548, 554, 561, 567, 572, 578, 583, 588, 592, 597, 601, 605, 608],\n",
" [488, 498, 506, 515, 523, 531, 539, 546, 553, 559, 566, 572, 577, 582, 588, 592, 597, 601, 605, 609, 612],\n",
" [496, 504, 513, 521, 529, 537, 544, 551, 558, 564, 570, 576, 582, 587, 592, 596, 601, 605, 609, 612, 615],\n",
" [502, 511, 519, 527, 535, 542, 549, 556, 563, 569, 575, 580, 586, 591, 596, 600, 604, 609, 612, 616, 619],\n",
" [509, 517, 525, 533, 540, 547, 554, 561, 567, 573, 579, 584, 590, 595, 599, 604, 608, 612, 615, 619, 622],\n",
" [515, 523, 531, 538, 545, 552, 559, 565, 572, 577, 583, 588, 593, 598, 603, 607, 611, 615, 618, 621, 624],\n",
" [521, 529, 536, 543, 550, 557, 563, 570, 576, 581, 587, 592, 597, 601, 606, 610, 614, 617, 621, 624, 627],\n",
" [527, 534, 541, 548, 555, 561, 568, 574, 579, 585, 590, 595, 600, 604, 608, 612, 616, 620, 623, 626, 629],\n",
" [532, 539, 546, 553, 559, 566, 572, 578, 583, 588, 593, 598, 603, 607, 611, 615, 619, 622, 625, 628, 631],\n",
" [537, 544, 551, 557, 564, 570, 576, 581, 586, 592, 596, 601, 605, 609, 613, 617, 621, 624, 627, 630, 633],\n",
" [542, 549, 555, 562, 568, 574, 579, 584, 590, 594, 599, 603, 608, 612, 615, 619, 623, 626, 629, 632, 634],\n",
" [546, 553, 560, 566, 572, 577, 582, 588, 592, 597, 601, 606, 610, 614, 617, 621, 624, 627, 630, 633, 635],\n",
" [551, 558, 564, 570, 575, 580, 586, 590, 595, 599, 604, 608, 612, 615, 619, 622, 625, 628, 631, 634, 636],\n",
" [555, 561, 568, 573, 578, 584, 588, 593, 597, 602, 606, 610, 613, 617, 620, 623, 626, 629, 632, 635, 637]])"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "mqg-CFrjU3p2",
"colab_type": "code",
"outputId": "8c940615-a4fa-49ca-f44b-f2cefc255d07",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 330
}
},
"source": [
"def f(x, y):\n",
" return np.sin(np.sqrt(x ** 2 + y ** 2))\n",
"\n",
"x = range(0, 21)\n",
"y = range(0, 21)\n",
"\n",
"X, Y = np.meshgrid(x, y)\n",
"Z = value[X, Y]\n",
"fig = plt.figure()\n",
"ax = plt.axes(projection='3d')\n",
"ax.plot_wireframe(X, Y, Z, color='gray') #cmap='binary')\n",
"ax.set_xticks(range(0, 21, 2))\n",
"ax.set_yticks(range(0, 21, 2))\n",
"ax.set_xlabel('x')\n",
"ax.set_ylabel('y')\n",
"ax.set_zlabel('z');"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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j3QYzF7t3t0/p/JNIJNDZeQpjY6NoamrGrl17wHEc7HYLEgke8XgmW5JMJtHZ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\ngLYKS0bmLf8AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "EiQT0LxI9Wny",
"colab_type": "text"
},
"source": [
"## Value iteration implementation of Exercise 4.7.\n",
"\n",
"The code is written in C. See [car_rental2.c](https://gist.github.com/enakai00/4ae523846c732f59fbca94526b0dd887)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "BbD3mX-b9qlX",
"colab_type": "text"
},
"source": [
"### Visualization of the result."
]
},
{
"cell_type": "code",
"metadata": {
"id": "Dwfb92NMwibD",
"colab_type": "code",
"colab": {}
},
"source": [
"policy = np.array(\n",
"[[ 0, 0, 0, 0, 0, 0, 0, -1, -1, -2, -2, -3, -3, -3, -4, -5, -4, -4, -5, -5, -5],\n",
" [ 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -2, -2, -2, -3, -4, -5, -3, -4, -4, -4, -4],\n",
" [ 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -2, -3, -4, -5, -3, -3, -3, -3, -3],\n",
" [ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -2, -3, -4, -5, -2, -2, -2, -2, -2],\n",
" [ 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, -1, -2, -3, -4, -1, -1, -1, -1, -1, -1],\n",
" [ 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, -2, -3, 0, 0, 0, 0, 0, 0, -1],\n",
" [ 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 4, 3, 3, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
" [ 4, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0],\n",
" [ 5, 4, 3, 3, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0],\n",
" [ 5, 4, 4, 3, 3, 3, 3, 3, 1, 1, 0, -1, 3, 3, 3, 3, 3, 3, 1, 1, 0],\n",
" [ 5, 5, 4, 4, 4, 4, 4, 1, 1, 1, 0, -1, 1, 1, 1, 1, 1, 1, 1, 1, 0],\n",
" [ 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 0, -1, 1, 1, 1, 1, 1, 1, 1, 1, 0],\n",
" [ 5, 5, 4, 4, 3, 2, 1, 1, 1, 1, 0, -1, 1, 1, 1, 1, 1, 1, 1, 1, 0],\n",
" [ 5, 5, 5, 4, 3, 2, 1, 1, 1, 1, 0, -1, 1, 1, 1, 1, 1, 1, 1, 1, 0],\n",
" [ 5, 5, 5, 4, 3, 2, 2, 1, 1, 1, 0, -1, 1, 1, 1, 1, 1, 1, 1, 1, 0],\n",
" [ 5, 5, 5, 4, 3, 3, 2, 1, 1, 1, 0, -1, 1, 1, 1, 1, 1, 1, 1, 1, 0],\n",
" [ 5, 5, 5, 4, 4, 3, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0]])"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "kWmdUgdgwrM_",
"colab_type": "code",
"outputId": "e0b7d87c-f69f-45fa-8f2d-304440ee4bb0",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 364
}
},
"source": [
"sns.heatmap(policy, annot=True)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f44d6f96390>"
]
},
"metadata": {
"tags": []
},
"execution_count": 36
},
{
"output_type": "display_data",
"data": {
"image/png": 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SFz0gWPCaNm2K6dOnY+vWrZg4cSI6d+4MAJg7dy7eeUfesxEWtgQyLhC6hpcu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\ngv8HP4UGYbmO5iMAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 576x396 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "peLpWApVxMs-",
"colab_type": "code",
"colab": {}
},
"source": [
"value = np.array(\n",
"[[430, 440, 450, 459, 468, 477, 485, 493, 501, 508, 515, 522, 529, 535, 541, 546, 548, 552, 556, 560, 564],\n",
" [440, 450, 460, 469, 478, 487, 495, 503, 510, 517, 524, 531, 537, 543, 548, 552, 554, 558, 562, 566, 569],\n",
" [450, 460, 469, 479, 488, 497, 505, 512, 519, 526, 533, 539, 545, 550, 554, 558, 560, 564, 568, 571, 574],\n",
" [459, 469, 479, 488, 497, 505, 514, 521, 528, 535, 541, 547, 552, 556, 560, 563, 566, 570, 573, 576, 579],\n",
" [468, 478, 488, 497, 505, 514, 522, 529, 536, 543, 549, 554, 558, 562, 565, 568, 572, 575, 578, 581, 583],\n",
" [477, 487, 496, 505, 514, 522, 529, 537, 543, 550, 556, 560, 564, 567, 570, 574, 577, 580, 583, 585, 588],\n",
" [485, 494, 504, 513, 521, 529, 537, 543, 550, 556, 562, 566, 569, 572, 575, 579, 582, 585, 587, 590, 592],\n",
" [492, 502, 511, 520, 528, 536, 543, 550, 556, 562, 568, 571, 573, 576, 580, 583, 586, 589, 591, 593, 595],\n",
" [500, 509, 518, 527, 535, 543, 550, 556, 562, 568, 573, 575, 577, 581, 584, 587, 589, 592, 594, 596, 598],\n",
" [507, 516, 525, 533, 541, 548, 555, 562, 567, 573, 577, 579, 581, 584, 587, 590, 592, 595, 597, 599, 600],\n",
" [514, 523, 531, 539, 547, 554, 561, 567, 572, 577, 581, 581, 584, 587, 590, 592, 595, 597, 599, 601, 602],\n",
" [521, 529, 537, 545, 552, 559, 565, 571, 576, 581, 581, 584, 587, 590, 592, 595, 597, 599, 601, 602, 599],\n",
" [527, 535, 543, 550, 557, 563, 569, 574, 579, 580, 583, 585, 588, 590, 593, 595, 597, 599, 600, 599, 600],\n",
" [533, 541, 548, 555, 561, 567, 572, 577, 579, 583, 586, 586, 588, 591, 593, 595, 597, 598, 599, 600, 601],\n",
" [539, 546, 553, 559, 565, 570, 575, 578, 582, 586, 588, 588, 590, 592, 593, 595, 597, 598, 600, 601, 601],\n",
" [544, 551, 557, 563, 568, 573, 576, 581, 585, 588, 590, 590, 591, 593, 595, 596, 598, 599, 600, 601, 601],\n",
" [545, 552, 558, 564, 569, 574, 579, 583, 587, 590, 592, 591, 593, 594, 596, 597, 598, 600, 601, 601, 602],\n",
" [549, 556, 562, 567, 572, 577, 581, 585, 589, 592, 593, 593, 594, 595, 597, 598, 599, 600, 601, 602, 602],\n",
" [553, 560, 565, 570, 575, 579, 583, 587, 591, 593, 595, 594, 595, 596, 597, 599, 600, 601, 602, 602, 603],\n",
" [557, 563, 568, 573, 577, 581, 585, 589, 592, 595, 596, 595, 596, 597, 598, 599, 600, 601, 602, 603, 603],\n",
" [560, 566, 571, 575, 579, 583, 587, 590, 593, 596, 597, 596, 597, 598, 599, 600, 601, 602, 602, 603, 603]])"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "TlSZQ0b6xV7D",
"colab_type": "code",
"outputId": "3b3bc7d4-c4a6-4d22-e716-9d70aa30cea7",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 330
}
},
"source": [
"def f(x, y):\n",
" return np.sin(np.sqrt(x ** 2 + y ** 2))\n",
"\n",
"x = range(0, 21)\n",
"y = range(0, 21)\n",
"\n",
"X, Y = np.meshgrid(x, y)\n",
"Z = value[X, Y]\n",
"fig = plt.figure()\n",
"ax = plt.axes(projection='3d')\n",
"ax.plot_wireframe(X, Y, Z, color='gray') #cmap='binary')\n",
"ax.set_xticks(range(0, 21, 2))\n",
"ax.set_yticks(range(0, 21, 2))\n",
"ax.set_xlabel('x')\n",
"ax.set_ylabel('y')\n",
"ax.set_zlabel('z')"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
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qCqPRgM83xaefHqe/vx9RFKmvr+fhw/tcu3aFSCRSEI0C+HxT+HxTgOrfatYWZEkys2jR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UZBwSa0Wq30vo8//hCdTs+7774nzb8AfD4vH330IU6nA5VKJSkS6XQ6tm3bRjAoejtmZ+dw/vzF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\n66W0dGdIzaebQCCAUqkkIyODs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mPYcQRgx44SvvzyMwYHxeSanJzK1NQkGzZkSckyHFbr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\nRK5CYII=\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
}
]
}
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