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@Frosty8171
Created October 9, 2024 08:01
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Ilham Ghufroni**\n",
"**(10221012)**\n",
"\n",
"# Line Plot\n",
"\n",
"**Minimum Code and List**"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Two lists as data source\n",
"import matplotlib.pyplot as plt \n",
"import math\n",
"\n",
"x = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"y = [0, 1, 2, 1, 0, 1, 3, 5, 3, 1, 0]\n",
"\n",
"plt.plot(x, y)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# List & list comprehension as data source\n",
"import matplotlib.pyplot as plt \n",
"import math\n",
"\n",
"x = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10] \n",
"y = [-i for i in x]\n",
"\n",
"plt.plot(x, y)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Two list comprehensions as data source\n",
"import matplotlib.pyplot as plt\n",
"import math\n",
"\n",
"N = 11\n",
"x = [i for i in range(N)] \n",
"y = [(i-5)**2 for i in x]\n",
"\n",
"plt.plot(x, y) \n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Grid and Axis Features**"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt \n",
"import math\n",
"\n",
"x = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10] \n",
"y = [0, 1, 2, 1, 0, 1, 3, 5, 3, 1, 0]\n",
"\n",
"plt.plot(x, y) \n",
"# Grid features\n",
"plt.grid()\n",
"# Label on both axis features\n",
"plt.xlabel('t') \n",
"plt.ylabel('x')\n",
"# Data range on both axis features\n",
"plt.xlim([0, 7]) \n",
"plt.ylim([0, 3]) \n",
"# Joint code and legend position feature\n",
"plt.legend(['blue'], loc='upper left'); plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Multiple Series**"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"S1\n",
"x1 = [0, 1, 2, 3, 4] \n",
"y1 = [0, 1, 2, 3, 4] \n",
"\n",
"S2\n",
"x2 = [4, 5, 6, 7] \n",
"y2 = [4, 4, 4, 4] \n",
"\n",
"53\n",
"x3 = [7, 8, 9, 10] \n",
"y3 = [4, 5, 7, 10] \n",
"\n"
]
}
],
"source": [
"# Data\n",
"\n",
"# S1\n",
"x1 = [0, 1, 2, 3, 4] \n",
"y1 = [0, 1, 2,3, 4]\n",
"# S2\n",
"x2 = [4, 5, 6, 7] \n",
"y2 = [4, 4, 4, 4]\n",
"# S3\n",
"x3 = [7, 8, 9, 10] \n",
"y3 = [4, 5, 7, 10]\n",
"\n",
"print('S1\\nx1 =', x1, '\\ny1 =', y1, '\\n')\n",
"print('S2\\nx2 =', x2, '\\ny2 =', y2, '\\n')\n",
"print('53\\nx3 =', x3, '\\ny3 =', y3, '\\n')"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Features\n",
"import matplotlib.pyplot as plt\n",
"# Line color, marker shape, and line style \n",
"# (ex : xn, yn, '(color first letter)(marker shapes)(line style)')\n",
"plt.plot(\n",
" x1, y1, 'cs--',\n",
" x2, y2, 'yv:',\n",
" x3, y3, 'k^-.'\n",
")\n",
"\n",
"labels = [\n",
" 'linear',\n",
" 'constant',\n",
" 'quadratic'\n",
"]\n",
"\n",
"plt.legend(labels)\n",
"plt.grid(); plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**User Defined Function**"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"x: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"y: [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Linear function an its continuous form\n",
"def linear(x, a, b): \n",
" y = []\n",
" for i in x:\n",
" y.append(a + b*i)\n",
" return y\n",
"\n",
"x = [*range(0, 11)] \n",
"y = linear(x, 2, 1)\n",
"\n",
"plt.plot(x, y)\n",
"plt.show\n",
"\n",
"print('x:', x) \n",
"print('y:', y)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"x: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"y: [21, 12, 5, 0, -3, -4, -3, 0, 5, 12, 21]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Quadratic function an its continuous form\n",
"def quadrat(x, a, b, c):\n",
" y = []\n",
" for i in x:\n",
" y.append(a*i**2 + b*i + c)\n",
" return y\n",
"\n",
"x = [*range(0, 11)]\n",
"y = quadrat(x, 1, -10, 21)\n",
"\n",
"plt.plot(x, y)\n",
"plt.show\n",
"\n",
"print('x:', x)\n",
"print('y:', y)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"x: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"y: [0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100]\n"
]
}
],
"source": [
"# Polynomial Function\n",
"def poly(x, c):\n",
" y=[]\n",
" for xx in x:\n",
" yy = 0\n",
" for n, cc in enumerate(c):\n",
" yy += cc * xx**n\n",
" y.append(yy)\n",
" return y\n",
"\n",
"x = [*range(0, 11)]\n",
"y = poly(x, [0, 0, 1])\n",
"print('x:', x)\n",
"print('y:', y)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Polynomial-Quadratic Function\n",
"x = [*range(0, 11)]\n",
"y1 = quadrat(x, -1, 13, -40)\n",
"y2 = poly(x, [-40, 13, -1])\n",
"\n",
"plt.plot(x, y1)\n",
"plt.plot(x, y2, 'o')\n",
"plt.legend(['quadrat', 'poly'])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Exercise\n",
"\n",
"- The purpose of the previous code : \n",
"To plot both quadratic and polynomial function to the same graph. We can differentiate both equation by changing the style either one or both function.\n",
"- Plotting y1 and y2 against x :\n",
"To visualize both function on the same graph. With the visualization, we could analyze both equation by comparing the shapes, slope, and intercept of both equation."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Polynomial-Cubic Function\n",
"x = [*range(-12, 5)]\n",
"y = poly(x, [1, -10, 10, 1])\n",
"\n",
"plt.plot(x, y, 'sc-')\n",
"plt.legend(['cubic'])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Polynomial of 6th order function\n",
"import matplotlib.pyplot as plt\n",
"\n",
"x = [*range(-10, 11)]\n",
"y = poly(x, [1, 1, 1, 1, 1, 1, 1])\n",
"\n",
"plt.plot(x, y, 'oy-')\n",
"plt.legend(['cubic'])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Legends**\n",
"\n",
"- Legends are used to distinguish among various datasets plotted in the same chart.\n",
"- They can be different colors / patterns assigned to different specific datasets.\n",
"- They are shown in a corner of a chart / graph."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Linewidth and RGB Color**"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Line width and RGB color feature\n",
"x = [*range(-5, 6)]\n",
"y0 = [1 * i**2 for i in x]\n",
"y1 = [2 * i**2 for i in x]\n",
"y2 = [4 * i**2 for i in x]\n",
"y3 = [8 * i**2 for i in x]\n",
"y4 = [16 * i**2 for i in x]\n",
"\n",
"# plt.plot(x_n, y_n, 'Color code', (line width)lw=...)\n",
"plt.plot(x, y0, '#000', lw=1)\n",
"plt.plot(x, y1, '#444', lw=2)\n",
"plt.plot(x, y2, '#888', lw=3)\n",
"plt.plot(x, y3, '#aaa', lw=4)\n",
"plt.plot(x, y4, '#ccc', lw=5)\n",
"plt.ylim([0, 100])\n",
"plt.legend([1, 2, 4, 8, 16])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Lissajous Figure**"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import math\n",
"\n",
"def f(t, omega, phi, A):\n",
" y = A * math.sin(omega * t + phi)\n",
" return y\n",
"\n",
"def d2r(x):\n",
" y = x * 2 * math.pi / 180\n",
" return y"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# A Curve 1\n",
"delta = math.pi/2\n",
"a = 1\n",
"b = 3\n",
"\n",
"t = [d2r(i*3) for i in range(0, 120)]\n",
"x = [f(i, a, delta, 1) for i in t]\n",
"y = [f(i, b, 0, 1) for i in t]\n",
"\n",
"plt.figure(figsize=(4, 4))\n",
"plt.plot(x, y)\n",
"plt.yticks([-1, -0.5, 0, 0.5, 1])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# A Curve 3\n",
"delta = math.pi/2\n",
"a = 4\n",
"b = 3\n",
"\n",
"t = [d2r(i*3) for i in range(0, 120)]\n",
"x = [f(i, a, delta, 1) for i in t]\n",
"y = [f(i, b, 0, 1) for i in t]\n",
"\n",
"plt.figure(figsize=(4, 4))\n",
"plt.plot(x, y)\n",
"plt.yticks([-1, -0.5, 0, 0.5, 1])\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Closing Question**"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x800 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t = [d2r(i*3) for i in range(0, 120)]\n",
"\n",
"plt.figure(figsize=(8, 8))\n",
"\n",
"plt.subplot(2, 2, 1)\n",
"delta = 0\n",
"a = 1\n",
"b = 1\n",
"x = [f(i, a, delta, 1) for i in t]\n",
"y = [f(i, b, 0, 1) for i in t]\n",
"plt.plot(x, y)\n",
"plt.xticks([-1, -0.5, 0, 0.5, 1])\n",
"plt.yticks([-1, -0.5, 0, 0.5, 1])\n",
"plt.grid()\n",
"\n",
"plt.subplot(2, 2, 2)\n",
"delta = math.pi/2\n",
"a = 1\n",
"b = 1\n",
"x = [f(i, a, delta, 1) for i in t]\n",
"y = [f(i, b, 0, 1) for i in t]\n",
"plt.plot(x, y)\n",
"plt.xticks([-1, -0.5, 0, 0.5, 1])\n",
"plt.yticks([-1, -0.5, 0, 0.5, 1])\n",
"plt.grid()\n",
"\n",
"plt.subplot(2, 2, 3)\n",
"a = 1\n",
"b = 2\n",
"x = [f(i, a, delta, 1) for i in t]\n",
"y = [f(i, b, 0, 1) for i in t]\n",
"plt.plot(x, y)\n",
"plt.xticks([-1, -0.5, 0, 0.5, 1])\n",
"plt.yticks([-1, -0.5, 0, 0.5, 1])\n",
"plt.grid()\n",
"\n",
"plt.subplot(2, 2, 4)\n",
"a = 2\n",
"b = 1\n",
"x = [f(i, a, delta, 1) for i in t]\n",
"y = [f(i, b, 0, 1) for i in t]\n",
"plt.plot(x, y)\n",
"plt.xticks([-1, -0.5, 0, 0.5, 1])\n",
"plt.yticks([-1, -0.5, 0, 0.5, 1])\n",
"plt.grid()\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Idea of subplot() command : \n",
"To insert multiple graph within one figure. The commands devides the figure into multiple grid, and the grid can be assigned for a certain graph.\n",
"- Three number of required arguments for subplot() command:\n",
" - First argument : determine the amount of row within the subplot grid.\n",
" - Second argument : determine the amount of column within the subplot grid.\n",
" - Third argument : asssigning the grid with the value of third argument to a certain graph.\n",
"- Create the results from the picture in the presentation slides : \n",
"Change the grid size into 3 x 3. Then only assign grid 1, 4, 6, and 9."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x800 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t = [d2r(i*3) for i in range(0, 120)]\n",
"\n",
"plt.figure(figsize=(8, 8))\n",
"\n",
"plt.subplot(3, 3, 1)\n",
"delta = 0\n",
"a = 1\n",
"b = 1\n",
"x = [f(i, a, delta, 1) for i in t]\n",
"y = [f(i, b, 0, 1) for i in t]\n",
"plt.plot(x, y)\n",
"plt.xticks([-1, -0.5, 0, 0.5, 1])\n",
"plt.yticks([-1, -0.5, 0, 0.5, 1])\n",
"plt.grid()\n",
"\n",
"plt.subplot(3, 3, 4)\n",
"delta = math.pi/2\n",
"a = 1\n",
"b = 1\n",
"x = [f(i, a, delta, 1) for i in t]\n",
"y = [f(i, b, 0, 1) for i in t]\n",
"plt.plot(x, y)\n",
"plt.xticks([-1, -0.5, 0, 0.5, 1])\n",
"plt.yticks([-1, -0.5, 0, 0.5, 1])\n",
"plt.grid()\n",
"\n",
"plt.subplot(3, 3, 6)\n",
"a = 1\n",
"b = 2\n",
"x = [f(i, a, delta, 1) for i in t]\n",
"y = [f(i, b, 0, 1) for i in t]\n",
"plt.plot(x, y)\n",
"plt.xticks([-1, -0.5, 0, 0.5, 1])\n",
"plt.yticks([-1, -0.5, 0, 0.5, 1])\n",
"plt.grid()\n",
"\n",
"plt.subplot(3, 3, 9)\n",
"a = 2\n",
"b = 1\n",
"x = [f(i, a, delta, 1) for i in t]\n",
"y = [f(i, b, 0, 1) for i in t]\n",
"plt.plot(x, y)\n",
"plt.xticks([-1, -0.5, 0, 0.5, 1])\n",
"plt.yticks([-1, -0.5, 0, 0.5, 1])\n",
"plt.grid()\n",
"\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "PGA",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.7"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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