![]() Then open that file and read its digits into a program using one of the utility functions given here. In the above program, weve used the format() method to print the given floating-point number num to 4 decimal places. Now let me ask a different question: How many digits of pi would we need to calculate the circumference of a circle with a radius of 46 billion light years to an accuracy equal to the diameter of a hydrogen atom (the simplest atom) The answer is that you would need 39 or 40 decimal. Divide the number by 10 with help of ‘/’ operator to remove the rightmost digit. Get the rightmost digit of the number with help of the remainder ‘’ operator by dividing it by 10 and multiply it to the product. Right-click or control-click on the link to download that file onto your computer. The radius of the universe is about 46 billion light years. Get the remainder and pass the next remaining digits. This text file contains the first million decimal places of pi. ![]() To be able to study the digits of pi, we need to be able to read them into a program. Here is a really usefull helper class that you can use to calculate PI to an arbitrary number of (string) digits: sourcecode download. Implement Ramanujan.java taking a number n specified by the user on the command line and calculating pi using the first n terms of the Ramanujan series. So, 1.34567 rounded to 3 decimal places prints 1. We also set the rounding mode to Ceiling, this causes the last given place to be rounded to its next number. You can enter the number of digits you want in the box, and choose whether to separate the digits with a space every 5 digits, or whether to add the count at the end of each line, or not. This means we want num up to 3 decimal places. Calculating Pi (Machin Formula) The following program is a javascript program which calculates pi. We declare the format using the patterns. ![]() What is the percent difference between your calculated value and the actual value in the library? How many iterations ( n) does it take your program to get to within 0.1% of the actual value of pi? Read the digits of pi into a program In the above program, we've used DecimalFormat class to round a given number num. With that sum, the main program can then calculate the value of pi.įinally, compare that calculated value with the value of pi available in the math library ( Math.PI for Java, math.pi for Python). Your main program will ask for a value n, and then call your recursive function to calculate the sum of the series. The value n is the number of iterations of the recursion.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |