{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Perintah Loop dan Membuat Fungsi\n",
"\n",
"## Looping dan Keputusan hasil logika (```for end; if then elif else```)\n",
"\n",
"Dalam sebuah perhitungan dengan komputer, seringkali kita berhadapan dengan keadaan dimana kita perlu menghitung sesuatu secara berulang. Misalnya, pada saat menghitung nilai medan gravitasi pada sebuah titik akibat adanya benda anomali di bawah permukaan bumi, maka kita perlu mengulang-ulang perhitungan (menggunakan hukum gravitasi Newton) pada titik-titik yang dikehendaki (Gambar 1).\n",
"\n",
"![](Gambar/bola.png)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Gambar 1. Benda anomali berupa bola yang terpendam di bawah permukaan, hendak dihitung anomali gravitasinya di permukaan dengan nilai F1...FN. Masing-masing memiliki jarak R tertentu untuk masing-masing titik pengukuran F di permukaan, harus dihitung dengan rumus yang sama secara berulang-ulang, dari 1 sampai N."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Berdasarkan Gambar 1, Besarnya gaya tarik gravitasi pada titik $F_1$, dirumuskan menggunakan Hukum Newton, sebagai berikut"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"dengan $\\gamma$ adalah konstanta gravitasi universal, sebesar $6,67 \\times 10^{-11} m^3.kg^{-1}.s^{-2}$, $\\frac{4}{3}\\pi a^2 \\rho$ adalah masa dari bola pejal, dengan radius ๐ dan densitas ๐ dan ๐ adalah jarak titik pengamatan / perhitungannya.\n",
"\n",
"Hayo, bagaimanakah kita dapat menghitung $\\vec{g}$ di tiap-tiap titik pengamatan, F1, F2,... FN?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nah, dalam pemrograman, kita perlu proses perulangan untuk menghitung gaya tarik gravitasional tersebut. Pada Python, kita dapat menggunakan perintah for, dengan sintaks sebagai berikut\n",
"```python\n",
"for variabel in sekumpulan info: \n",
" do sesuatu dengan variabel\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"varibel boleh dinamai apa saja, tapi disarankan yang mnemonic, atau berhubungan dengan namanya dan mudah ditebak maksudnya, misalnya kalau itu sebuah indeks, dari 1 sampai n, maka variable bisa dinamai i saja atau kalau missal temperature ya bisa dengan temp, dst. Contoh :"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1\n",
"2\n",
"3\n",
"4\n",
"5\n",
"6\n",
"7\n"
]
}
],
"source": [
"angka = [1,2,3,4,5,6,7]\n",
"for nilai in angka:\n",
" print(nilai)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Programmer hebat seperti Dimitri Komatitsch senang membuat variableyang โluguโ sehingga menjadi Panjang Namanya,tapi sangat mudah dan tidak perlu ditebak maksudnya.Python memberikan fungsi built-in yang namanya ```range```,yang menghasilkan sebuah deret angka dari 1 ke N. Fungsi ```range``` dapat menerima maksimal 3 argumen input (```range(argument_1,argument_2,argument_3)```), dengan aturan sebagai berikut:\n",
"\n",
"- Jika hanya satu parameter diberikan,rangemenghasilkan sekumpulan (array) sepanjang nilai parameter tadi, dimulai dari nol dan penambahan sebesar 1. Sebagai teladan, maka perintah ```range(3)``` akan menghasilkan bilangan 0, 1, 2.\n",
"- Jika diberikan dua parameter, ```range``` akan memulai dengan angka pertama dan berakhir tepat sebelum angka keโ di parameter kedua, dengan penambahan sebesar 1. Jadi, ```range(2, 5)``` menghasilkan2, 3, 4.\n",
"- Jika ```range``` diberi sebanyak 3 parameter, dia akan memulai dengan angka pertama, diakhiri dengan angka kedua, dengan penambahan sebesar anka ketiga. Misalnya, ```range(3, 10, 2)``` menghasilkan3, 5, 7, 9. \n",
"\n",
"\n",
"(PDF) Materi Metkom Geofisika. Available from: https://www.researchgate.net/publication/323930962_Materi_Metkom_Geofisika [accessed Mar 22 2019]."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Contoh-contoh lebih banyak dapat ditemukan diberbagai website, dengan bantuan Google.Kembali ke pembahasan diatas mengenai perhitungan yang berulang, jadi kita perlu secara berulang, dengan perintah for, untuk sejumlah N titik data, hitung nilai g.Dari sini, muncul masalah baru, yaitu bahwa kita memerlukan sebuah program pendek, untuk menghitung gaya tarikgravitasinya.Dalam istilah komputasi, program pendek tersebut disebut dengan fungsi (function). \n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Membuat Fungsi (dengan ```def namafungsi:```)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Pada Python, definisi sebuah fungsi dibuat memakai kata kunci ```def``` yang diikuti dengan nama fungsinya, lantas diikuti lagi dengan nama parameter-parameter (variable) fungsi yang dibatasi dengan tanda kurung.Tubuh dari fungsi tersebut, yang berisi perintah-perintah Python yang harus dieksekusi, harus ditulis menjorok ke kanan sejauh (minimal) 4 spasi. Sebagai tauladan, dibawah ini adalah sebuah fungsi untuk mengkonversi dari skala temperature Fahrenheit ke skala Kelvin: \n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def fahrenheit_ke_kelvin(suhu):\n",
" return((suhu-32)*(5/9))+273.15"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"233.14999999999998"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fahrenheit_ke_kelvin(-40)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Kembali kelap-top ! Untuk itu, perhatikan bagaimana implementasi dari persamaan (1) menjadi sebuah fungsi dalam Python."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"#```--------Program menghitung gaya tarik gravitasi-------------------```\n",
"#``` benda berbentuk bola ```\n",
"#```------------------------------------------------------------------```\n",
"gamma = 6.6E-11\n",
"si2mg = 1.0E5\n",
"pi = 3.14159265\n",
"km2m = 1.E3\n",
"ierror = 0\n",
"import math\n",
"import matplotlib.pyplot as plt\n",
"def bola(xq,yq,zq,a,rho,xp,yp,zp):\n",
" #``` titik pengamatan terletak pada koordinat (xq,yq,zq), sementara pusat bola adalah di (xp,yp,zp). Jari-jari bola adalah a\n",
" #``` dan densitas adalah rho. Densitas satuannya kg/m^3, jarak dalam km\n",
" rx = xp - xq\n",
" ry = yp - yq\n",
" rz = zp - zq\n",
" \n",
" r = math.sqrt(math.pow(rx,2)+math.pow(ry,2)+math.pow(rz,2))\n",
" \n",
" if r == 0:\n",
" print(\"R-nya nol, ubah kedalaman!\")\n",
" \n",
" r3 = math.pow(r,3)\n",
" tmass = 4.0 * pi * rho * (math.pow(a,2))/3\n",
" gx = -gamma * tmass * rx/r3\n",
" gy = -gamma * tmass * ry/r3\n",
" gz = -gamma * tmass * rz/r3\n",
" \n",
" gx = gx * si2mg * km2m\n",
" gy = gy * si2mg * km2m\n",
" gz = gz * si2mg * km2m\n",
" return gx, gy, gz\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Perhatikan bahwa persamaan (1) diimplementasikan secara bertahap, dengan menghitung r nya dulu terhadap setiap titik amat xp, baru dihitung g nya untuk setiap komponen x, y dan z.\n",
"Untuk memanggilnya, kita masukkan parameter posisi benda dan posisi titik amat, densitas dan jejari bolanya. Misalnya kita ingin menghitung gaya Tarik gravitasi untuk bola dengan jari-jari 0,5 km yang letaknya di posisi x = 0, y = 0 dan kedalaman 2 km, dengan densitas 2600 kg/m3 pada posisi x-amat = 1, y-amat = 1 dan z-amat =0 sebagai berikut"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"gx,gy,gz = bola(0,0,2,0.5,2600,1,1,0)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2.4453950067143504"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"gz"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Dengan fungsi ini, sebaran gaya tarik gravitasi pada sebuah luasan tertentu dengan mudah bisa dilakukan. Misalnya jika hendak dihitung gaya gravitasi pada area seluas 100km ร 100 km, untuk anomaly yang letaknya di x = 20 km y = -20 km dapat dipanggil"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"from mpl_toolkits import mplot3d\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"from matplotlib import cm\n",
"from matplotlib.ticker import LinearLocator, FormatStrFormatter\n",
"import numpy as np\n",
"\n",
"x = np.linspace(-50,50,100)\n",
"y = np.linspace(-50,50,100)\n",
"X,Y = np.meshgrid(x,y)\n",
"G=np.zeros((100,100))\n",
"for i in range(100):\n",
" for j in range(100):\n",
" gx, gy, gz = bola(20,-20,5,1,2600,X[i,j],Y[i,j],0)\n",
" G[i,j]=gz\n"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
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JoWS7qMbHx7Fx40bIZDK89NJLaGtrw7Jly7B8+fK49tXf34+bb74ZIyMjkMvluPPOO7F5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\nStYkMpIgpys0TcNiseDQoUOMq6O7uxtlZWVMVkd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