float within 3 of each other if else statement? - java

Is there a way in Java to make it so that if X is within 3 of Y that it will be true (need a if statement).
I tried:
import java.util.*;
import java.io.*;
public class e4 {
public static void main (String arg[]) {
if ( ( (x - 3) <= y ) || ( (x - 3) <= y) || (x >= (y -3) ) || (x >= (y -3) ))
{
System.out.println("Your are within 3 of each other!");
}
else
{
System.out.println("Your NOT within 3 of each other.");
}
} //end main
} //end class
Thanks a lot for any help!

Use something simpler:
if (Math.abs(x - y) < 3.0) {
// within 3
}

You don't need Math.abs. Do this.
if ( x >= y - 3 && x <= y + 3 )
Here's a case where Math.abs gives you a wrong answer, because the subtraction loses the small quantity from the small float. If accuracy is important to you, you should avoid using Math.abs for this reason.
Note that it's possible to concoct an example where a similar thing happens with MY solution; but there are fewer such examples, and they only happen where the "ranges" represented by x and y contain parts that differ by more than 3 and parts that differ by less than 3.
float x = - 0.2500001f;
float y = 2.75f;
System.out.println( x >= y - 3 && x <= y + 3 ); // Prints false (correct)
System.out.println( Math.abs(x-y) <= 3.0); // Prints true (wrong)

Related

Smarter way to calculate adjacent mines in Minesweeper using Java 8 Streams

Hey guys I started programming a year ago and recently discovered streams. So I decided to complete my old tasks using streams whenever I could just to get used to them. I know it might not be smart to force using them but it's just practice.
One of my old tasks was to program Minesweeper and right now I try to find a better solution for counting adjacent mines whenever I click a field.
Some details:
I saved a bunch of mines in a Mine[] (arsenal.getArsenal()) and each of the mines has an x and y value. Whenever I click on a field I need to count all mines around the clicked field (from x-1,y-1 till x+1,y+1).
My current solutions are:
private int calculateNearby(int x, int y) {
return (int) Arrays.stream(arsenal.getArsenal())
.filter(mine -> mine.getX() == x + 1 && mine.getY() == y
|| mine.getX() == x && mine.getY() == y + 1
|| mine.getX() == x - 1 && mine.getY() == y
|| mine.getX() == x && mine.getY() == y - 1
|| mine.getX() == x - 1 && mine.getY() == y - 1
|| mine.getX() == x - 1 && mine.getY() == y + 1
|| mine.getX() == x + 1 && mine.getY() == y - 1
|| mine.getX() == x + 1 && mine.getY() == y + 1)
.count();
}
private int calculateNearby(int x, int y) {
return (int) Arrays.stream(arsenal.getArsenal())
.filter(mine ->
{
boolean b = false;
for (int i = -1; i < 2; ++i) {
for (int j = -1; j < 2; ++j) {
if ((x != 0 || y != 0) && mine.getX() == x + i && mine.getY() == y + j) {
b = true;
}
}
}
return b;
})
.count();
}
Both solutions work fine but the first looks "wrong" because of all the cases and the seconds uses for-loops which I basically tried to avoid using.
It would be nice if you could show me a better (ideally shorter) solution using streams. :D
I'm sorry if there's already a thread about this. I really tried to find anything related but there either isn't anything or I searched for the wrong keywords.
You can simplify your stream condition. Instead of checking each case if getX() equals x, x-1 or x+1 you can just check if getX() is greater or equals than x-1 and smaller or equals x+1. The same for getY().
return (int) Arrays.stream(arsenal.getArsenal())
.filter(mine -> mine.getX() >= x - 1 && mine.getX() <= x + 1
&& mine.getY() >= y - 1 && mine.getY() <= y + 1)
.count();
You could also create a method for the check to make the code more readable.
private int calculateNearby(int x, int y) {
return (int) Arrays.stream(arsenal.getArsenal())
.filter(mine -> inRange(mine.getX(), x)
&& inRange(mine.getY(), y))
.count();
}
private boolean inRange(int actual, int target) {
return actual >= target - 1 && actual <= target + 1;
}
Another way is to check if the absolute distance in each direction is less than or equal to 1:
private int calculateNearby(int x, int y) {
return (int) Arrays.stream(arsenal.getArsenal())
.filter(mine -> Math.abs(mine.getX() - x) <= 1 && Math.abs(mine.getY() - y) <= 1)
.count();
}
Note that this also counts a mine which is at the point (x, y) which is not the case with the code in the question.
When is a mine adjacent? When its only one field horizontally or vertically away.
Horizontal distance is Math.abs(mine.getX() - x), vertical distance is Math.abs(mine.getY() - y). It doesn't matter if its -1 or 1, just that it is one field away.
But it shouldn't be more than one field, either vertical or horizontal be away, so max(dx, dy) == 1.
Predicate<Mine> isAdjacent = mine ->
Math.max(
Math.abs(mine.getX() - x)
Math.abs(mine.getY() - y)
) == 1;
return (int) Arrays.stream(arsenal.getArsenal())
.filter(isAdjacent)
.count();

Calculating how far a robot will move in Java

I'm working on a project for school that requires me to move a robot. How far the robot will move each second (variable t) is calculated by the function below.
The first function is easy. The 2nd and 3rd on the other are where I'm stuck. How would I write F(t-1)? Below is what I have so far.
if (t == 0) {
distance = 2;
} else if (t > 0 && <=6 || t > 12) {
// No clue on how to write the 2nd distance equation.
} else if (t >= 7 && <=12) {
// No clue on how to write the 3rd distance equation.
}
Recursion really isn't necessary to solve this.
Note that in each of the non-zero time cases, F(t) = F(t-1) + something.
So you can simply do:
double f = 2; /* Initial value at t=0 */
for (int t = 1; t <= maxT; ++t) { // maxT is the maximum value of t.
if (t <= 6 || t > 12) {
f += /* something for case 2 */;
} else {
f += /* something for case 3 */;
}
}
System.out.println(f);
You can do this with recursion, but you will get a StackOverflowError if maxT becomes modestly large; by contrast, using a loop will work for arbitrarily large maxT (modulo floating point errors).
As pointed out by #Andreas, you can do this without looping over all values of t:
double f = 2 * (maxT + 1);
for (int t = 7; t <= maxT && t <= 12; ++t) {
f += log(t) - 2;
}
and you can eliminate that loop too by precomputing the values.
This is a problem which involves the use of recursion. By and large, pay close attention to the notation Ft-1, since that refers to an evaluation of the specific function at t-1.
I won't write out all of the code, but I'll give you some of the basics:
When t = 0, return 2. This is your base case.
When t is between 0 and 6 inclusive or greater than 12, return an evaluation of the function at t-1 and add 2.
When t is between 7 and 12 both inclusive, return an evaluation of the function at t-1 and add log2(t).
Here's something to get you at least started in the right direction.
public double evaluateDistance(int t) {
if(t == 0) {
return 2;
} else if(t > 0 && t <= 6) || (t > 12) {
// Think about this - it would involve another call to evaluateDistance, but what is t again?
} else if(t >= 7 && t <= 12) {
// Another evaluation involving the function.
// For free, the change of base operation you'll need to get base-2 evaluation for the log:
return ??? + Math.log(t)/Math.log(2);
}
}
Think I figured it out. Sorry if I wasn't clear on what I needed, just needed to figure out how to write the equations in the function. Think I figured it out though.
public double move()
{
int t = 0;
if(t == 0) // After the first second, robot moves 2
{
distance = 2;
}
else if(t > 0 && t <= 6 || t > 12) // From seconds 0 to 6 and after 12, robot moves distance equation
{
distance = (2*t)+2;
}
else if(t >= 7 && t <= 12) // From seconds 7 to 12, robot moves distances equation
{
distance = (2*t)+(Math.log(t)/Math.log(2));
}
position = position + distance;
return position;
}
}

How to find the factors of a number with for loops? [closed]

Closed. This question needs debugging details. It is not currently accepting answers.
Edit the question to include desired behavior, a specific problem or error, and the shortest code necessary to reproduce the problem. This will help others answer the question.
Closed 8 years ago.
Improve this question
Hey I need some help with my AP Comp Sci homework. In the assignment I need to print the factors of a passed variable, z. This is what I've gotten so far in my method
public static void printFactors(int z) {
for(int x=1; x<=z; x++) {
if(z%x.......) {
System.out.println(x);
}
}
}
How would I go about finishing this? Or am I even on the right track? Thanks!
public static void printFactor( int z){
for(int i = 1; i < sqrt(z); i++){
if(z%i == 0){ system.out.println(i);}
}
}
The == 0 is to make sure there is no remainder because the factor has to be an number with no decimal (of course)
The sqrt is because you would be checking the same numbers if you went passed that value.
As your question, you want to get ALL factors, I might think, you want the full list, but distinct factors of an integer.
So, you can only iterates the integer x from 1 to sqrt(z), but sqrt itself is too slow, and you can loop x until x*x > z, see the for loop below.
More, you should take care that if z % x == 0
for example: z = 18, x =3, z % x = 0
then z / x must be also a factor, too! It should be output.
but to avoid duplicated factors produced, if z == x * x, then x == z / x, the two factors x and z/x is duplicate, it should only be output once.
This is a classical algorithm issue, and this implemetation is the generally used one, which with time complexity O(sqrt(z)).
See the code:
public static void printFactors(int z) {
for(int x=1; x * x <= z; x++) {
if(z % x == 0) {
System.out.println(x);
if(x * x != z) System.out.println(z / x);
}
}
}
Have a try!
public static void printFactors(int z) {
for(int x=1; x * x <= z; x++) {
if(z % x == 0) {
System.out.println(x);
if(x * x != z) System.out.println(z / x);
}
}
}

As x appraoches 0, make z approach 100

I want to make a method that will return me a value (let's call it "z"). Its value is dictated by one other value(let's call this "y"). Basically what I want is to make it so that the following conditions are met:
As x approaches 0, z approaches 100.
As x approaches infinity, z approaches 0.
So far I have this as my code:
if(x == 0){
z = 100;
} else if(x1 > 0){
//Code for what happens otherwise.
}
else if(x1 < 0){
z = 100;
}
I'm really stuck on what to do otherwise. If anybody could lend their math/java expertise, I'd appreciate it.
z = 100.0 / (1 + x)
Remember to declare x and z as doubles if you want non-integer values.

Recursion and multiplication

Is this possible guys? This is homework I have, and my teacher obviously believes it is, but it seems to me that it's impossible not to use addition or multiplication outside of the short-multiplication method.
Write (and provide a tester for) a recursive algorithm:
int multiply(int x, int y)
to multiply two positive integers together without using the *
operator. Do not just add x to itself y times!!!
(Hint: Write a recursive method that will multiply an integer by a
value in the range 0 .. 10. Then write a second recursive method to
implement the multiplication algorithm you learned to multiply
multi-digit numbers in elementary school.)
My issue is that once you break down any multi digit number and starting adding those together you have to use multiplication of numbers greater than 10, i.e 22 * 6 is 2 * 6 + 20 * 6 ... so am I totally missing something?
EDIT
I guess I should have added this is the code I have,
public int mult(int x, int y){
return x == 0 ? 0 : (mult(x-1, y) + y);
}
which is perfect, but as far as I understand the instructions, that's breaking do not just add x to itself y times. I personally believe it isn't, but my teacher hasn't been very clear, and I'd like to know if there's some other way that I havn't thought of, sorry for the confusion.
Yes, it's possible. Yes, I think you're missing something. Try writing down the steps you'd follow to manually multiply two numbers, the way you learned in elementary school.
Then turn those steps into code.
My interpretation of the assignment is that the teacher would like the student to implement a recursive algorithm to perform Grid method multiplication (the kind we learn in elementary school).
For example, multiplying 34 x 13 would be done like so...
34
* 13
====
12
90
40
+300
====
442
I didn't have easy access to a Java development environment, so I wrote the code in C# but the algorithm should be simple enough to convert into Java.
public int Multiply(int x, int y)
{
if (x < 0) throw new ArgumentException("must be positive integer", "x");
if (y < 0) throw new ArgumentException("must be positive integer", "y");
if (x == 0 || y == 0) return 0; // obvious quick-exit condition
// integer division
int xDivBy10 = x / 10;
int yDivBy10 = y / 10;
bool xIsSingleDigit = xDivBy10 == 0;
bool yIsSingleDigit = yDivBy10 == 0;
// base case
if (xIsSingleDigit && yIsSingleDigit)
{
return MultiplySingleDigits(x, y);
}
// otherwise, use grid multiplication recursively
// http://en.wikipedia.org/wiki/Grid_method_multiplication
if (xIsSingleDigit) // y must not be a single digit
{
return (Multiply(x, yDivBy10) * 10) + Multiply(x, y % 10);
}
if (yIsSingleDigit) // x must not be a single digit
{
return (Multiply(xDivBy10, y) * 10) + Multiply(x % 10, y);
}
// else - x and y are both numbers which are not single digits
return (Multiply(x, yDivBy10) * 10) + Multiply(x, y % 10); // the same code as the "if (xIsSingleDigit)" case
}
// technically, this algorith can multiply any positive integers
// but I have restricted it to only single digits as per the assignment's requirements/hint
private int MultiplySingleDigits(int x, int y)
{
if (x < 0 || x > 9) throw new ArgumentException("must be in range 0 - 9 (inclusive)", "x");
if (y < 0 || y > 9) throw new ArgumentException("must be in range 0 - 9 (inclusive)", "y");
if (x == 0 || y == 0) return 0; // base case
return x + MultiplySingleDigits(x, y - 1);
}
NOTES:
This approach still uses the * operator but not for actually multiplying x and y, it is used to increase other sub-products by multiples of 10
Many parts of this code could be simplified/refactored but I specifically left them expanded to make the steps more obvious
Of course you can do it.
First of all, think about the condition. If some number is 0, then the result is? Right.. zero.
So.. You'll have if x is zero or y is zero return 0
Now.. saying X * Y is like saying "X, Y times", which is like writing: X + .... + X (Y times).
So, you'll have something like:
x + multiply(x, y - 1);
You'll have to consider the case in which one of the numbers is negative (But if you understand the basic, I believe you can easily do it).
This solution will work for both when y>=0 and y<0
public int multiply(final int x, final int y) {
if (y != 0 && x != 0) {
if (y > 0) {
return multiply(x, y - 1) + x;
} else {
return multiply(x, y + 1) - x;
}
}
return 0;
}
Easily possible.
int multiply(int x, int y) {
if(y == 0) {
return 0;
}
return x + multiply(x, y - 1);
}
The above fails to take into account the case where y is negative, but you wouldn't want me to do all your work for you . . .
static int Multiply(int x, int y)
{
if (y > 0 && x > 0)
return (x + Multiply(x, y - 1));
if (y < 0 && x > 0)
return -Multiply(x, -y);
if (x < 0 && y > 0)
return -Multiply(-x, y);
if (x < 0 && y < 0)
return Multiply(-x, -y);
return 0;
}

Categories

Resources