Square root calculation method

I'm trying to create java code that displays the square root of a number that the user enters, as I am not a great mathematician i cannot work out the logic for this. Any help would be great.
This is the part of my code that I need assistance with: n1 is the number that the user enters and n2 is where the square root is returned to. I'm guessing that i need to have a loop of some sort to divide n1, but am unsure of the conditions. The n1 is 0 so that after the total is calculated from n1, it is cleared for another number to be entered.
else if (source == btnSquareRoot)
n2 = ;
n1 = 0;
Please help!

An adequate method for finding a square root of a number x is this:
Choose a number that is too low to be the actual square root. (How you do this, I don't know, but zero is pretty small and might be low enough)
Call that number lo:
Choose a number that is too high to be the actual square root. (Same comment. well almost. Don't use zero for this - it's too small)
Call it hi:
Note, it is easy to check and see that the numbers you have choosen have the required properties. because lo*lo < x and hi*hi > x
Now you have two candidates for the square root, one of them too low and one of them two high. The actual square root lies somewhere between those two bounds.
What you want to do now is squeeze those bounds tighter. You do that by choosing a number that is between lo and hi. The mid point would be a nice choice. You may need to figure out how to compute that.
call that number a:
well now, either a was itself too low, too high or just right. If it was too low, why replace lo with a and you have just improved the lower bound, if it was too high...
surely you get the idea.
Now the question is: How long do you keep this up? Do you ever get the actual square root this way? The answer is: Of course you don't. Most of the time the actual square root requires an infinite number of decimals to represent it. All you are looking for is something that is good enough.
What does good enough mean? Did you want the number correct to 2 decimal places, to 4 decimals. What do you want? How can you tell if lo and hi are practically the same number?
If this was a homework problem, that of course goes back to what the teacher wants. If the teacher did not clearly specify, you need to go back and ask what they actually wanted.
On the other hand if you want to earn a reputations as a smart ass, you figure out some way to detect that the number that you are working on does not have an exact square root and when it does not, you simply print out the message "Sorry - the square root of the number you are looking for cannot be represented in a finite number of digits without resorting to the notation of continued fractions but here it is to 3 decimals..."
This is the sort of stuff that wins big bonus points with professors.
On the other hand the way you lose big points with the professors if you say something like that and CAN NOT explain to him what a continued fraction is and explain what you meant by the qualification.
The other thing that loses big is to cut a chunk of text directly off of a web page and try to fob it off as your own program. Since most professors know how to google, they will stuff some unlikely looking phrase like "notation of continued fractions" and boom they are immediately at this page.
My point is that if you are going to be a smart ass, you MUST do it carefully or you lose all credibility.
Sorry for the digression there. Hope this algorithm outline is enough to get you thinking.
Wow! Killer. I previewed my question and it put asterisks in where I wrote the word, "ass". That is Fucking awesome! They've put in some kind of bad word filter so that when I get fucking abusive with my language and call you a no good shit for brains mother fucker. it cleans it all up for me. That is just too fucking sweet! It sure is a load off of my mind. I guess they just couldn't figure out how to put in !@%#^ which is the way that you actually are supposed to replace vulgarity in the printed word. Oh well, we always knew that this site was maintained by a bunch of **** ***** * **** ***** ** ***** * * *********!

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  • Alternate square root method

    Besides using the math class, may I know if there is another way to find the square root of an integer?
    thank you.

    Besides using the math class, may I know if there is
    another way to find the square root of an integer? There are several numerical methods available. The most common is built on Newton-Raphson.
    The idea is very simple. Say you want to calculate the squareroot of N. One can note that this squareroot will be somewhere between N and 1/N. So an approximate value will be in the middle like
    N1 = (N + 1/N)/2.
    Now you're closer and can get even closer by repeating this again with
    N2 = (N1 + 1/N1)/2.
    This is repeated again and again until Nx*Nx (where x are the numbers 1,2,3,4,5,6 etcetera) is sufficiently close to N. When it is Nx is the squareroot of N.

  • Calculating the square root...

    Hi all,
    let me shortly sketch the situation.
    I have a number of fields that I select from the database (coming from different queries)
    that I need to do calculations on...
    so far, I was able to do most of those calculations, but now I'm stuck.
    One of my calculations contains a square root.
    So I got something like:
    VARIABLE1 + VARIABLE2 + SQRT(3*VARIABLE1)
    with VARIABLE1 being a multiplication of several other fields.
    my question: is there an xsl or xdofx function to calculate the square root? Or any other solutions for my problem?
    Any help would be greatly appreciated :)
    Wkr,
    Filip

    You can use like this.
    <?xdoxslt:pow(10,2)?>
    <?xdoxslt:pow(10,3)?>
    <?xdoxslt:pow(10,4)?>

  • Square root formula in Calculated Characteristics

    Have a great days.
    There are two MIC in my inspection plan. first (0010) is for entering number and another (0020) is calculated characteristics. I want to calculate the square root of 0010 charateristics in 0020.
    What should be teh formula to put in 0020 char.
    Please guide. thanks in advance.
    Regards,
    Dipesh Bhavsar
    Edited by: dipeshbhavsar1982 on Jul 31, 2011 9:41 AM

    HI
    0020 MIC should be created with control indicator for formula tab(calc.characteristic)
    and in quality plan assign the first MIC as normal
    and assign second MIC then system will ask a formula ...
    there you can give the formula in terms of character
    example (0010)2
    Faisal

  • Fast Inverse Square Root

    I expect no replies to this thread - because there are no
    answers, but I want to raise awareness of a faculty of other
    languages that is missing in Flash that would really help 3D and
    games to be built in Flash.
    Below is an optimisation of the Quake 3 inverse square root
    hack. What does it do? Well in games and 3D we use a lot of vector
    math and that involves calculating normals. To calculate a normal
    you divide a vector's parameters by it's length, the length you
    obtain by pythagoras theorem. But of course division is slow - if
    only there was a way we could get 1.0/Math.sqrt so we could just
    multiply the vector and speed it up.
    Which is what the code below does in Java / Processing. It
    runs at the same speed as Math.sqrt, but for not having to divide,
    that's still a massive speed increase.
    But we can't do this in Flash because there isn't a way to
    convert a Number/float into its integer-bits representation. Please
    could everyone whinge at Adobe about this and give us access to a
    very powerful tool. Even the guys working on Papervision are having
    trouble with this issue.

    that's just an implementation of newton's method for finding
    the zeros of a differentiable function. for a given x whose inverse
    sq rt you want to find, the function is:
    f(y) = 1/(y*y) - x;
    1. you can find the positive zero of f using newton's method.
    2. you only need to consider values of x between 1 and 10
    because you can rewrite x = 10^^E * m, where 1<=m<10.
    3. the inverseRt(x) = 10^^(-E/2) * inverseRt(m)
    4. you don't have to divide E by 2. you can use bitwise shift
    to the right by 1.
    5. you don't have to multiply 10^^(-E/2) by inverseRt(m): you
    can use a decimal shift of inverseRt(m);
    6. your left to find the positive zero of f(y) = 1/(y*y) - m,
    1<=m<10.
    and at this point i realized what, i believe, is a much
    faster way to find inverse roots: use a look-up table.
    you only need a table of inverse roots for numbers m,
    1<m<=10.
    for a given x = 10^^E*m = 10^^(e/2) *10^^(E-e/2)*m, where e
    is the largest even integer less than or equal to E (if E is
    positive, e is the greatest even integer less than or equal to E,
    if E is negative), you need to look-up, at most, two inverse roots,
    perform one multiplication and one decimal shift:
    inverseRt(x) = 10^^(-e) * inverseRt(10) *inverseRt(m), if
    E-e/2 = 1 and
    inverseRt(x) = 10^^(-e) * inverseRt(m), if E-e/2 = 0.

  • How to find square root, log recursively???

    I need to find the square root of a number entered recursively and log as well. Your help would be greatly appreciated. Thanks in advance!
    import java.io.*;
    /**Class provides recursive versions
    * of simple arithmetic operations.
    public class Ops2
         private static BufferedReader in = null;
         /**successor, return n + 1*/
         public static int suc(int n)
              return n + 1;
         /**predecessor, return n - 1*/
         public static int pre(int n)
              if (n == 0)
                   return 0;
              else
                   return n - 1;
         /**add two numbers entered*/
         public static int add(int n, int m)
              if (m == 0)
                   return n;
              else
                   return suc(add(n, pre(m)));
         /**subtract two numbers entered*/
         public static int sub(int n, int m)
              if (n < m)
                   return 0;
              else if (m == 0)
                   return n;
              else
                   return pre(sub(n, pre(m)));
         /**multiply two numbers entered*/
         public static int mult(int n, int m)
              if (m == 0)
                   return 0;
              else
                   return add(mult(n, pre(m)), n);
         /**divide two numbers entered*/
         public static int div(int n, int m)
              if (n < m)
                   return 0;
              else
                   return suc(div(sub(n, m), m));
         /**raise first number to second number*/
         public static int exp(int n, int m)
              if (m == 0)
                   return 1;
              else
                   return mult(exp(n, pre(m)), n);
         /**log of number entered*/
         public static int log(int n)
              if (n < 2)
                   return 0;
              else
                   return suc(log(div(n, 2)));
         /**square root of number entered*/
         public static int sqrt(int n)
              if (n == 0)
                   return 0;
              else
                   return sqrt(div(n, ));
         /**remainder of first number entered divided by second number*/
         public static int mod(int n, int m)
              if (n < m)
                   return 0;
              else
                   return mod(div(n, pre(m)), m);
         public static void prt(String s)
              System.out.print(s);
         public static void prtln(String s)
              System.out.println(s);
         public static void main(String [ ] args)
              prtln("Welcome to the amazing calculator");
              prtln("It can add, multiply and do powers for");
              prtln("naturals (including 0). Note that all the");
              prtln("HARDWARE does is add 1 or substract 1 to any number!!");
              in = new BufferedReader(new InputStreamReader ( System.in ) );
              int It;
              while ( (It = getOp()) >= 0)
                   prt("" + It + "\n");
            private static int getOp( )
            int first, second;
            String op;
            try
                System.out.println( "Enter operation:" );
                do
                    op = in.readLine( );
                } while( op.length( ) == 0 );
             System.out.println( "Enter first number: " );
                first = Integer.parseInt( in.readLine( ) );
                System.out.println( "Enter second number: " );
                second = Integer.parseInt( in.readLine( ) );
             prtln("");
             prt(first + " " + op + " " + second + " = ");
                switch( op.charAt( 0 ) )
                  case '+':
                    return add(first, second);
                  case '-':
                       return sub(first, second);
                  case '*':
                    return mult(first, second);
                  case '/':
                       return div(first, second);
                  case '^':
                    return exp(first, second);
                  case 'v':
                       return log(first);
                  case 'q':
                       return sqrt(first);
                  case '%':
                       return mod(first, second);
                  case 's':
                       return suc(first);
                  case 'p':
                       return pre(first);
                  default:
                    System.err.println( "Need +, *, or ^" );
                    return -1;
            catch( IOException e )
                System.err.println( e );
                return  0;
    }

    Hi,
    Is there any one to make a program for me in Turbo
    C++ for Dos, which can calculate the square root of
    any number without using the sqrt( ) or any ready
    made functions.
    The program should calculate the s.root of the number
    by a formula or procedure defined by the user
    (programmer).
    Thanks.This is a Java forum!
    If you want Java help:
    1. Start your own thread.
    2. Use code tags (above posting box) if you post code.
    3. No one will write the program for you. We will help by answering your questions and giving advice on how to fix problems in code you wrote.
    4. The formula you need to implement is given above by dizzy.

  • Problems with square root approximations with loops program

    i'm having some trouble with this program, this loop stuff is confusing me and i know i'm not doing this correctly at all. the expected values in the tester are not matching up with the output. i have tried many variations of the loop in this code even modifying the i parameter in the loop which i guess is considered bad form. nothing seems to work...
    here is what i have for my solution class:
    /** A class that takes the inputted number by the tester and squares it, and
    *  loops guesses when the nextGuess() method is called. The epsilon value is
    *  also inputted by the user, and when the most recent guess returns a value
    *  <= epsilon, then the hasMoreGuesses() method should return false.
    public class RootApproximator
       /** Takes the inputted values from the tester to construct a RootApproximator.
        * @param val the value of the number to be squared and guessed.
        * @param eps the gap in which the approximation is considered acceptable.
         public RootApproximator(double val, double eps)
              value = val;
              square = Math.sqrt(val);
              epsilon = eps;
       /** Uses the algorithm where 1 is the first initial guess of the
        *  square root of the inputted value. The algorithm is defined by
        *  "If X is a guess for a square root of a number, then the average
        *  of X and value/X is a closer approximation.
        *  @return increasingly closer guesses as the method is continually used.
       public double nextGuess()
             final int TRIES = 10000;
             double guess = 1;
              for (double i = 1; i < TRIES; i++)
                   double temp = value / guess;
                   guess = (guess + temp) / 2.0;
              return guess;
       /** Determines if there are more guesses left if the difference
        *  of the square and current guess are not equal to or less than
        *  epsilon.
        *  @return the value of the condition.
       public boolean hasMoreGuesses()
              return (square - guess <= epsilon);
       private double square;
       private double value;
       private double epsilon;
       private double guess;
    here is the tester:
    public class RootApproximatorTester
       public static void main(String[] args)
          double a = 100;
          double epsilon = 1;
          RootApproximator approx = new RootApproximator(a, epsilon);
          System.out.println(approx.nextGuess());
          System.out.println("Expected: 1");
          System.out.println(approx.nextGuess());
          System.out.println("Expected: 50.5");
          while (approx.hasMoreGuesses())
             approx.nextGuess();
          System.out.println(Math.abs(approx.nextGuess() - 10) < epsilon);
          System.out.println("Expected: true");
    and here is the output:
    10.0
    Expected: 1 // not sure why this should be 1, perhaps because it is the first guess.
    10.0
    Expected: 50.5 // (100 + 1) / 2, average of the inputted value and the first guess.
    true
    Expected: true
    i'm new to java this is my first java course and this stuff is frustrating. i'm really clueless as to what to do next, if anyone could please give me some helpful advice i would really appreciate it. thank you all.

    i'm new to java this is my first java course and this
    stuff is frustrating. i'm really clueless as to what
    to do nextMaybe it's because you don't have a strategy for what the program is supposed to do? To me it looks like a numerical scheme for finding the squareroot of a number.
    Say the number you want to squarerroot is called value and that you have an approximation called guess. How do you determine whether guess is good enought?
    Well in hasMoreGuesses you check whether,
    (abs(value-guess*guess) < epsilon)
    The above decides if guess is within epsilon of being the squareroot of value.
    When you calculate the next guess in nextGuess why do you loop so many times? Aren't you supposed to make just one new guess like,
    guess = (guess + value/guess)/2.0
    The above generates a new guess based on the fact that guess and value/guess must be on each side of value so that the average of them must be closer too value.
    Now you can put the two together to a complete algoritm like,
    while (hasMoreGuesses()) {
       nextGuess();
    }In each iteration of the loop a new "guess" of the squareroot is generated and this continues until the guess is a sufficiently close approximation of the squareroot.

  • Cannot display square root symbol in cvi

    I don't understand why this would be an issue, but if I'm writing in the source window (with the default font of NIEditor), I cannot display a square root symbol "√" - every time I type alt+251, I get "v". Ok, not a huge deal in the source window, but it is a big deal if THAT is what's being stored in a string variable I'm writing out to a file. Additionally, if I use the following to format a string:
    "Fmt(setpointUOM, "%s<W%cT/P3", 251);", then setpointUOM = "WüT/P3". If I display this variable in a string control, it displays as "W√T/P3", which is correct, but if I use it in a Text Box or save it to a sql database, it displays "WüT/P3" which is unacceptable.
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    Solved!
    Go to Solution.

    The difference in the display between W√T/P3 and WüT/P3 has to do with the character set that you select for the UI control. From what I can tell, only the OEM code pages map the √ symbol to character 251, so if you want to see √ for that character, you should pick the OEM character set, in that control.
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    In lots of other applications (but not all) you can type Alt+251 or Alt+221A and it works just fine. This is because those applications accept unicode characters directly. Unfortunately, CVI isn't one of them. It uses code pages (a.k.a. character sets, or multibyte sequences) instead of unicode, and symbols don't have a universal meaning; they depend on the code page.
    Even if all this were not an impediment, you'd still run into the problem that in CVI 2010 you cannot change the font of the CVI source window to use an OEM character set. So, you'd still see it displayed as a v or a ü. In CVI 2012 you can change the change it, and so if you were using CVI 2012 you could conceivably use the clipboard to paste the √, but there is a bug in CVI that is preventing OEM characters from being pasted correctly (I realize the description says that it affects tree tooltips, but it's also generally affecting clipboard operations of some less commonly used character sets).
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    Luis

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    Hi All,
    I need to calculate the sample size based on the Containers & Square  root n+1.
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    Subbu

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    Best regards,
    Robson

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