Random Function Generator

random_function_generator.cpp

/* Copyright(c) dillmo 2014
 * Licensed under the MIT License (http://opensource.org/licenses/MIT)
 *
 * A program I made for algebra class. Running this program  outputs several
 * functions with their respective parent functions. To take advantage of this
 * program for studying, it is recommended you run it, then graph the output
 * for whichever type of function you are studying.
 */

#include <iostream>
#include <cstdlib>
#include <ctime>
using namespace std;

int main() {
  int a, h, k, b, c, d;

  srand (time(NULL));

  // Constant function
  cout << "Parent function: y = a" << '\n';
  for(int i = 1; i <= 2; i++)
  {
    a = rand() % 20 - 10;
    
    cout << "Trans " << i << ": y = " << a << '\n';
  }

  // Linear function
  cout << '\n' << "Parent function: y = x" << '\n';
  for(int i = 1; i <= 2; i++)
  {
    do
    {
      a = rand() % 20 - 10;
    } while(a == 0);

    cout << "Trans " << i << ": y = " << a << "x" << '\n';
  }

  // Absolute value function
  cout << '\n' << "Parent function: y = |x|" << '\n';
  for(int i = 1; i <= 2; i++)
  {
    do
    {
      a = rand() % 20 - 10;
    } while(a == 0);
    h = rand() % 20 - 10;
    k = rand() % 20 - 10;
  
    cout << "Trans  " << i << ": y = " << a << "|x + (" << -h << ")| + (" << k
         << ")" << '\n';
  }

  // Quadratic function
  cout << '\n' << "Parent function: y = x^2" << '\n';
  for(int i = 1; i <= 2; i++)
  {
    do
    {
      a = rand() % 20 - 10;
    } while(a == 0);
    h = rand() % 20 - 10;
    k = rand() % 20 - 10;

    cout << "Trans " << i << ": y = " << a << "(x + (" << -h << "))^2 + (" << k
         << ")" << '\n';
  }

  // Square root function
  cout << '\n' << "Parent function: y = sqrt(x)" << '\n';
  for(int i = 1; i <= 2; i++)
  {
    do
    {
      a = rand() % 20 - 10;
    } while(a == 0);
    h = rand() % 20 - 10;
    k = rand() % 20 - 10;

    cout << "Trans " << i << ": y = " << a << " * sqrt(x + (" << h << ")) + ("
         << k << ")" << '\n';
  }

  // Cubic function
  cout << '\n' << "Parent function: y = x^3" << '\n';
  for(int i = 1; i <= 2; i++)
  {
    do
    {
      a = rand() % 20 - 10;
    } while(a == 0);
    b = rand() % 20 - 10;
    c = rand() % 20 - 10;
    d = rand() % 20 - 10;

    cout << "Trans " << i << ": y = " << a << "x^3 + (" << b << ")x^2 + (" << c
         << ")x + (" << d << ")" << '\n';
  }

  // Cube root function
  cout << '\n' << "Parent function: y = x^(1/3)" << '\n';
  for(int i = 1; i <= 2; i++)
  {
    do
    { 
      a = rand() % 20 - 10;
    } while(a == 0);
    h = rand() % 20 - 10;
    k = rand() % 20 - 10;

    cout << "Trans " << i << ": y = " << a << "(x + (" << -h << "))^(1/3) + ("
         << k << ")" << '\n';
  }

  // Exponential function
  cout << '\n' << "Parent function: y = a^x" << '\n';
  for(int i = 1; i <= 2; i++)
  {
    do
    {
      a = rand() % 20 - 10;
    } while((a == 0) || (a == 1));
    h = rand() % 20 - 10;
    k = rand() % 20 - 10;

    cout << "Trans " << i << ": y = " << a << "^(x + (" << -h << ")) + (" << k
         << ")" << '\n';
  }

  return 0;
}