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02_Applied_Deep_Learning_2_Matplotlib_and_Scipy
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": []
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"id": "UpyVZfjdOo0g"
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"source": [
"sine = np.sin(np.linspace(0, 20, 1000))"
],
"metadata": {
"id": "3aRglPXuj8bu"
},
"execution_count": 5,
"outputs": []
},
{
"cell_type": "code",
"source": [
"plt.plot(sine)\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "SPYwqWeDj-Q_",
"outputId": "c383f356-9fd1-46ba-bf28-3d883adf250a"
},
"execution_count": 6,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"# Generating an array of values from 0 to 3π with a step of 0.1\n",
"x = np.arange(0, 3 * np.pi, 0.1)\n",
"\n",
"# Calculating the sine of each value in x\n",
"y = np.sin(x)\n",
"\n",
"# Plotting the sine wave\n",
"plt.plot(x, y)\n",
"\n",
"# Displaying the plot\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "Jr5yctDoj_5k",
"outputId": "9f2a8f61-e4a9-424a-8bff-9a8ed97482ad"
},
"execution_count": 7,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"# Generating an array of values from 0 to 3π with a step of 0.1\n",
"x = np.arange(0, 3 * np.pi, 0.1)\n",
"\n",
"# Calculating the sine of each value in x\n",
"y_sin = np.sin(x)\n",
"\n",
"# Calculating the cosine of each value in x\n",
"y_cos = np.cos(x)\n",
"\n",
"plt.plot(x, y_sin)\n",
"plt.plot(x, y_cos)\n",
"plt.xlabel('x-axis')\n",
"plt.ylabel('y-axis')\n",
"plt.title('Sine and Cosine Waves')\n",
"plt.legend(['Sine', 'Cosine']) #with order, i can tell the difference between sine and cosine\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 472
},
"id": "GKTgCoVmkMSg",
"outputId": "606e8e34-463e-476b-d47b-92fe20cc0294"
},
"execution_count": 8,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"x = np.arange(0, 3 * np.pi, 0.1)\n",
"\n",
"y_sin = np.sin(x)\n",
"y_cos = np.cos(x)\n",
"\n",
"plt.subplot(5, 1, 1)\n",
"plt.plot(x, y_sin)\n",
"plt.title('Sine Wave')\n",
"\n",
"plt.subplot(2, 1, 2)\n",
"plt.plot(x, y_cos)\n",
"plt.title('Cosine Wave')"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 469
},
"id": "uny-oV5nkYkw",
"outputId": "d45afb2d-d071-46f9-848b-d7dcd210f830"
},
"execution_count": 9,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Cosine Wave')"
]
},
"metadata": {},
"execution_count": 9
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"#Scipy\n",
"import imageio.v2 as imageio\n",
"img = imageio.imread('/content/ME .jpg')\n",
"print (img.dtype, img.shape)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "RcF3Qs8XlZnk",
"outputId": "f8bee06c-a815-4ab8-88df-0b73210cf1c0"
},
"execution_count": 11,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"uint8 (2289, 2289, 3)\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"from PIL import Image\n",
"img = Image.open('/content/ME .jpg')\n",
"img_resized = img.resize((1000, 1000)) # specify desired width and height\n",
"img_resized.save('resized_image.jpg')"
],
"metadata": {
"id": "MOv1aTFrr2Lg"
},
"execution_count": 12,
"outputs": []
},
{
"cell_type": "code",
"source": [
"# imageio.imwrite('output.png', img) ---> for saving :)"
],
"metadata": {
"id": "vF5J4wj_ofpH"
},
"execution_count": 13,
"outputs": []
},
{
"cell_type": "code",
"source": [
"img = imageio.imread('resized_image.jpg')\n",
"print (img.dtype, img.shape)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "It0SNYUSsgfK",
"outputId": "1b73ca32-573a-422e-8b8d-661bbbdac5b8"
},
"execution_count": 14,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"uint8 (1000, 1000, 3)\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"# Change some colors RBG\n",
"img_colored = img.astype(float) * [0.7, 0.9, 0.5]\n",
"img_colored = np.clip(img_colored, 0, 255).astype(np.uint8)\n",
"imageio.imwrite('colored_image.jpg', img_colored)"
],
"metadata": {
"id": "GOfT2ArRs6qD"
},
"execution_count": 15,
"outputs": []
},
{
"cell_type": "code",
"source": [
"import tensorflow as tf"
],
"metadata": {
"id": "WCBzL3fvtnCP"
},
"execution_count": 16,
"outputs": []
},
{
"cell_type": "code",
"source": [
"x1 = 10\n",
"x2 = 20\n",
"x3 = 30\n",
"print(tf.add(x1,x2,name='add'))\n",
"print(tf.multiply(x1,x2,name='mul'))\n",
"print(tf.subtract(x3,x2,name='sub'))\n",
"print(tf.divide(x3,x1,name='div'))\n",
"print(tf.pow(x1,x2,name='pow'))"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "x7lo_SjLJfqG",
"outputId": "4331dcb3-0969-435b-b848-0bb195992b68"
},
"execution_count": 17,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"tf.Tensor(30, shape=(), dtype=int32)\n",
"tf.Tensor(200, shape=(), dtype=int32)\n",
"tf.Tensor(10, shape=(), dtype=int32)\n",
"tf.Tensor(3.0, shape=(), dtype=float64)\n",
"tf.Tensor(1661992960, shape=(), dtype=int32)\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"max_val = tf.maximum(x1, tf.maximum(x2, x3))\n",
"min_val = tf.minimum(x1, tf.minimum(x2, x3))\n",
"print(max_val)\n",
"print(min_val)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "J9gmgzykJgrd",
"outputId": "aa7e0e01-6c2d-4c66-fcc4-18c899f8f676"
},
"execution_count": 18,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"tf.Tensor(30, shape=(), dtype=int32)\n",
"tf.Tensor(10, shape=(), dtype=int32)\n"
]
}
]
},
{
"cell_type": "code",
"source": [],
"metadata": {
"id": "REXAxKmoJiA9"
},
"execution_count": 18,
"outputs": []
}
]
}