Math Class Quiz

// Java CODE, AP Computer Science A (11 Oct 2016)

// Math with Natural Numbers
class NMath {
  final long NOT_NATURAL;
  static final long ZERO_FACTORIAL = 1;
  NMath(long notNatural) {
    this.NOT_NATURAL = notNatural;
  }
  // Triangle Number
  long tri(long n) {
    if (n < 0) {
      return this.NOT_NATURAL;
    }
    else if (n == 0) {
      return 0;
    }
    else {
      return n + this.tri(n - 1);
    }
  }
  // Factorial
  long fac(long n) {
    if (n < 0) {
      return this.NOT_NATURAL;
    }
    else if (n == 0) {
      return NMath.ZERO_FACTORIAL;
    }
    else {
      return n * this.fac(n - 1);
    }
  }
}

// Math with Whole Numbers
class ZMath extends NMath {
  ZMath() {
    super(-1);
  }
  // Absolute Value
  long abs(long n) {
    return (n < 0) ? -n : n;
  }
}

// Math with Rational Numbers
class QMath extends ZMath {
  QMath() {
    super();
  }
  // Triangle Number
  long tri(long n) {
    if (n < 0) {
      return this.NOT_NATURAL;
    }
    else {
      return (n*(n+1))/2;
    }
  }
}


// NAME: ________________________________________________________

// GIVEN NMath, ZMath, and QMath (on a separate page):
// PART I - QUIZ
// 10 points each: Below each println statement, write the value the statement outputs.


class MathClass {
  public static void main(String[] args) {
    NMath nMath = new NMath(0);
    QMath qMath = new QMath();
    System.out.println(qMath.abs(qMath.NOT_NATURAL));


    // ANSWER:_______________

    System.out.println(nMath.tri(3));


    // ANSWER:_______________

    System.out.println(qMath.tri(100));


    // ANSWER:_______________

    System.out.println(qMath.fac(5));


    // ANSWER:_______________

    System.out.println(qMath.fac(-5));


    // ANSWER:_______________

    System.out.println(nMath.tri(-4));


    // ANSWER:_______________

    System.out.println(qMath.tri(-5));


    // ANSWER:_______________

  }
}
/* PART II – BONUS QUESTION
// 5 BONUS POINTS: Which executes faster: nMath.tri or qMath.tri?


// 5 BONUS POINTS: Why? (Use the other side of the paper if necessary.)


*/

// JavaScript CODE, AP Computer Science Principles (11 Oct 2016):


// Math with Natural Numbers
function NMath(notNatural) {
  this.NOT_NATURAL = notNatural;
}
NMath.prototype = {
  ZERO_FACTORIAL: 1,
  // Triangle Number
  tri: function(n) {
    if (n < 0) {
      return this.NOT_NATURAL;
    }
    else if (n == 0) {
      return 0;
    }
    else {
      return n + this.tri(n - 1);
    }
  },
  // Factorial
  fac: function(n) {
    if (n < 0) {
      return this.NOT_NATURAL;
    }
    else if (n == 0) {
      return this.ZERO_FACTORIAL;
    }
    else {
      return n * this.fac(n - 1);
    }
  },
}

// Math with Whole Numbers
function ZMath() {
  NMath.call(this, -1);
};
ZMath.prototype = Object.create(NMath.prototype);
// Absolute Value
ZMath.prototype.abs = function(n) {
  return (n < 0) ? -n : n;
}

// Math with Rational Numbers
function QMath() {
  ZMath.call(this);
}
QMath.prototype = Object.create(ZMath.prototype);
// Triangle Number
QMath.prototype.tri = function(n) {
  if (n < 0) {
    return this.NOT_NATURAL;
  }
  else {
    return (n*(n+1))/2;
  }
}


// NAME: ________________________________________________________

// GIVEN NMath, ZMath, and QMath (on a separate page) and the following:

var nMath = new NMath(0);
var qMath = new QMath();

// PART I - QUIZ
// 10 points each: Below each statement, write the value the statement outputs.

console.log(qMath.abs(qMath.NOT_NATURAL));



console.log(nMath.tri(3));



console.log(qMath.tri(100));



console.log(qMath.fac(5));



console.log(qMath.fac(-5));



console.log(nMath.tri(-4));



console.log(qMath.tri(-5));



/* PART II – BONUS QUESTION
// 5 BONUS POINTS: Which executes faster: nMath.tri or qMath.tri?



// 5 BONUS POINTS: Why?







*/