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{
"metadata": {
"name": "",
"signature": "sha256:13a3347e13ed5ee09ae2833e49a517873801778756103a4da905a96a5997fa89"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 9, User-Defined Functions"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Program 9-1 , Page number: 187"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Using a function as an abbreviation\n",
"\n",
"# In python, the user defined functions have to defined before making a call to them\n",
"\n",
"def chorus() :\n",
"\tprint \"%60s\"%\"With a knick-knack-paddy-whack,\"\n",
"\tprint \"%60s\"%\"Give the dog a bone,\"\n",
"\tprint \"%60s\\n\"%\"This old man went rolling home.\"\n",
"\n",
"print \"This old man, he played two,\"\n",
"print \"He played knick-knack on my thumb,\"\n",
"chorus()\n",
"\n",
"print \"This old man, he played one,\"\n",
"print \"He played knick-knack on my shoe,\"\n",
"chorus()\n",
"\n",
"print \"This old man, he played three,\"\n",
"print \"He played knick-knack on my knee,\"\n",
"chorus()\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"This old man, he played two,\n",
"He played knick-knack on my thumb,\n",
" With a knick-knack-paddy-whack,\n",
" Give the dog a bone,\n",
" This old man went rolling home.\n",
"\n",
"This old man, he played one,\n",
"He played knick-knack on my shoe,\n",
" With a knick-knack-paddy-whack,\n",
" Give the dog a bone,\n",
" This old man went rolling home.\n",
"\n",
"This old man, he played three,\n",
"He played knick-knack on my knee,\n",
" With a knick-knack-paddy-whack,\n",
" Give the dog a bone,\n",
" This old man went rolling home.\n",
"\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Program 9-2 , Page number: 189"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Demonstration of one use of a function\n",
"\n",
"def get_an_int() :\n",
"\t\"\"\"RETURNS AN INTEGER\"\"\"\t\t# This statement is just a description of the function (specific feature of python)\n",
"\treturn 5\n",
"\n",
"print \"Enter the length of a rectangle:\",\n",
"length = get_an_int()\n",
"print length\n",
"\n",
"print \"Enter the width:\",\n",
"width = get_an_int()\n",
"print width\n",
"\n",
"print \"\\nThe area is %d\"%(length*width)\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Enter the length of a rectangle: 5\n",
"Enter the width: 5\n",
"\n",
"The area is 25\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Program 9-3 , Page number: 191"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# An attempt at communication between functions\n",
"\n",
"def modify_i() :\n",
"\ti = 3\n",
"\t\n",
"i = 1\n",
"print \"i is now equal to %d\"%i\n",
"\n",
"modify_i()\n",
"print \"i is now equal to %d\"%i\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"i is now equal to 1\n",
"i is now equal to 1\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Program 9-4 , Page number: 192"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Demonstration of the use of a global variable\n",
"\n",
"# Making variable global\n",
"\n",
"def get_an_int() :\n",
"\treturn 5\n",
"\n",
"def calc_area() :\n",
"\tarea = length*width\n",
"\n",
"globals()\t\t\t# The command simply makes all the variables declared so far as global variables\n",
"print \"Enter the length of a rectangle:\",\n",
"length = get_an_int()\n",
"print length\n",
"\n",
"print \"Enter the width:\",\n",
"width = get_an_int()\n",
"print width\n",
"\n",
"calc_area()\n",
"print \"\\nThe area is %d\"%(length*width)\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Enter the length of a rectangle: 5\n",
"Enter the width: 5\n",
"\n",
"The area is 25\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Program 9-5 , Page number: 194"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Introduction to parameters\n",
"\n",
"def print_an_int(i) :\n",
"\t\"\"\"The function prints an integer passed as a parameter\"\"\"\n",
"\tprint i\n",
"\n",
"\n",
"n = 3\n",
"\n",
"print \"Passing a constant:\",\n",
"print_an_int(5)\n",
"\n",
"print \"\\n\\nPassing a variable's value:\",\n",
"print_an_int(n)\n",
"\n",
"print \"\\n\\nPassing the value of an expression:\",\n",
"print_an_int(n * 4 + 1)\n",
"\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Passing a constant: 5\n",
"\n",
"\n",
"Passing a variable's value: 3\n",
"\n",
"\n",
"Passing the value of an expression: 13\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Program 9-6 , Page number: 196"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Demonstration of how a procedure cannot modify the contents of a variable passed as a parameter\n",
"\n",
"def modify(i) :\n",
"\ti = 3\n",
"\n",
"i = 1\n",
"\n",
"print \"i is now equal to %d\"%i\n",
"\n",
"modify(i)\n",
"\n",
"print \"i is now equal to %d\"%i"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"i is now equal to 1\n",
"i is now equal to 1\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Program 9-7 , Page number: 197 "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Hailstones, demonstrating the use of a parameter\n",
"\n",
"def step(i) :\n",
"\t\"\"\"This function returns its parameter i divided by 2 if i is even else it returns i multiplied by 3 and incremented by 1\"\"\"\n",
"\tif (i % 2) :\n",
"\t\treturn (i * 3 + 1)\n",
"\telse : \n",
"\t\treturn (i / 2)\n",
"\n",
"counter = 0\n",
"\n",
"print \"Enter a positive integer\",\n",
"n = 25\n",
"print n\n",
"\n",
"nsave = n\n",
"\n",
"while n > 1 :\n",
"\tn = step(n)\n",
"\tcounter += 1\n",
"\tprint \"Step %4d: n = %4d\"%(counter,n)\n",
"\n",
"print \"\\n\\n%d went to 1 in %d steps.\"%(nsave,counter)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Enter a positive integer 25\n",
"Step 1: n = 76\n",
"Step 2: n = 38\n",
"Step 3: n = 19\n",
"Step 4: n = 58\n",
"Step 5: n = 29\n",
"Step 6: n = 88\n",
"Step 7: n = 44\n",
"Step 8: n = 22\n",
"Step 9: n = 11\n",
"Step 10: n = 34\n",
"Step 11: n = 17\n",
"Step 12: n = 52\n",
"Step 13: n = 26\n",
"Step 14: n = 13\n",
"Step 15: n = 40\n",
"Step 16: n = 20\n",
"Step 17: n = 10\n",
"Step 18: n = 5\n",
"Step 19: n = 16\n",
"Step 20: n = 8\n",
"Step 21: n = 4\n",
"Step 22: n = 2\n",
"Step 23: n = 1\n",
"\n",
"\n",
"25 went to 1 in 23 steps.\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Program 9-8 , Page number: 200"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Square root program demonstrating a non-integer function and parameter\n",
"\n",
"def EPSILON() :\n",
"\t\"\"\"replacement of #define constant\"\"\"\n",
"\treturn 0.0001\n",
"\n",
"def sqrt(n) :\n",
"\t\"\"\"returns the square root of the number supplied as parameter using Newton-Raphson method\"\"\"\n",
"\tif n > 0.0 :\n",
"\t\t# The for loop statement given in the example(from the book) is not possible to code in python\n",
"\t\t# So, breaking it down to while loop\n",
"\t\tguess = n / 2.0\n",
"\t\twhile (guess * guess - n > EPSILON() or guess * guess - n < -EPSILON()) :\n",
"\t\t\tguess = (guess + n/guess) / 2.0\n",
"\t\treturn guess\n",
"\telse :\n",
"\t\treturn (-1.0)\n",
"\n",
"print \"Enter the number whose square root you want:\",\n",
"x = 17.1\n",
"print x\n",
"\n",
"print \"The square root of %f is %f\"%(x,sqrt(x))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Enter the number whose square root you want: 17.1\n",
"The square root of 17.100000 is 4.135215\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Program 9-9 , Page number: 201"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Testing for leap years using a boolean function\n",
"\n",
"def is_leap(year) :\n",
"\t\"\"\"A function that returns true if the given year is a leap year else returns false\"\"\"\n",
"\treturn (year % 4 == 0 and year % 100 != 0 or year % 400 == 0)\n",
"\n",
"print \"Please enter a year:\",\n",
"year = 2000\n",
"print year\n",
"\n",
"if (is_leap(year)) :\n",
"\tprint \"%d is a leap year.\"%year\n",
"else :\n",
"\tprint \"%d is not a leap year.\"%year"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Please enter a year: 2000\n",
"2000 is a leap year.\n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Program 9-10 , Page number: 203"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Demonstration of the use of multiple parameters\n",
"\n",
"def get_an_int() :\n",
"\t\"\"\"returns a random integer\"\"\"\n",
"\treturn 7\n",
"\n",
"def area(length,width) :\n",
"\t\"\"\"returns the area of the rectangle using its parameters length and width\"\"\"\n",
"\treturn length * width\n",
"\n",
"print \"Enter the length of a rectangle:\",\n",
"length = get_an_int()\n",
"print length\n",
"\n",
"print \"Enter the width:\",\n",
"width = get_an_int()\n",
"print width\n",
"\n",
"print \"\\nThe area is %d.\"%area(length,width)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Enter the length of a rectangle: 7\n",
"Enter the width: 7\n",
"\n",
"The area is 49.\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Program 9-11 , Page number: 204"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Illustration of a 2-parameter function: raising a number to a power \n",
"\n",
"def power(i,x) :\n",
"\t\"\"\"returns the values of i to the power of x\"\"\"\n",
"\taccum = 1\n",
"\tif x < 0 :\n",
"\t\treturn 0\n",
"\tfor index in range (0,x,1) :\n",
"\t\taccum *= i\n",
"\treturn accum\n",
"\n",
"answer = \"y\"\n",
"\n",
"while answer == \"y\" or answer == \"Y\" :\n",
"\tprint \"\\nPlease enter an integer:\",\n",
"\tnumber = 4\n",
"\tprint number\n",
"\n",
"\tprint \"Please enter a non-negative integral power\"\n",
"\tprint \" to which the first number is to be raised\",\n",
"\texponent = 2\n",
"\tprint exponent\n",
"\n",
"\twhile exponent < 0 :\n",
"\t\tprint \"***\\7Please make that a non-negative integer\"\n",
"\t\texponent = 2 \t\t\t\t# randomly making the exponent non-negative\n",
"\n",
"\tprint \"%d raised to the power %d is %ld.\"%(number,exponent,power(number,exponent))\n",
"\n",
"\t# see if the user wants to keep going\n",
"\n",
"\tprint \"\\nAnother calculation? (y/n)\",\n",
"\tanswer = \"n\"\n",
"\tprint answer"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Please enter an integer: 4\n",
"Please enter a non-negative integral power\n",
" to which the first number is to be raised 2\n",
"4 raised to the power 2 is 16.\n",
"\n",
"Another calculation? (y/n) n\n"
]
}
],
"prompt_number": 11
}
],
"metadata": {}
}
]
}
|