Full version: jsB@nk » Calculation » Math » Vitaliy's Math Javascript Library
URL: https://www.javascriptbank.com/vitaliy-math-javascript-library-demo.html
Vitaliy's Math Javascript Library - is the collection of mathematical routines not included in JavaScript built-in objects (Math, Number) . The tool on this page is used to demonstrate how these functions work. This is still a beta version of the library, since testing is not complete yet.
Full version: jsB@nk » Calculation » Math » Vitaliy's Math Javascript Library
URL: https://www.javascriptbank.com/vitaliy-math-javascript-library-demo.html
<script language="JavaScript"><!--/************************************************************************************//* math.js - the library of mathematical functions that are not part of Math object.*//* AUTHOR: Vitaliy Rabotnik WWW: http://chat.carleton.ca/~vrabotni/JavaScript/Math/ *//* VERSION *//* VERSION: 1 DATE: 01/03/2000 *//************************************************************************************//****************************************************************************//* DESCRIPTION: Returns a string representing expansion of (x + y)^n. *//* PARAMETERS: n - a positive integer; *//* format(optional) - the output format either text ("txt") or html ("html")*//* default is "html" format *//****************************************************************************/function binomial(n, format){ var out = ""; var temp; var pow1, pow2; if(format == "txt") { pow1 = "^";pow2 =""; } else { pow1 = "<sup>";pow2 = "</sup>"; } if(!isInteger(n) || n < 0) { // alert("Error \"binomial\": " + n + " is not valid number."); return; } for(var i = 0; i <= n; i++) { temp = choose(n,i);if(temp > 1) out += temp;if(i > 1) out += "x" + pow1 + i + pow2; if(i == 1) out += "x"; if(n - i > 1) out += "y" + pow1 + (n - i) + pow2; if(n - i == 1) out += "y"; if(i < n) out += " + "; } return out;}/*******************************************************************************************//* DESCRIPTION: Returns the result of "n choose r"; Returns null if "n" and r are invalid.*//* PARAMETERS: n and r - are positive integers, where r is less or equal to n. *//*******************************************************************************************/function choose(n,r){ if(!isInteger(n) || !isInteger(r)) { // alert("Error \"choose\": " + n + " or " + r + " are not valid number."); return; } if(r > n) { // alert("Error \"choose\": " + r + " must be less or equal to " + n + "."); return; } return factorial(n)/(factorial(n - r) * factorial(r));}/************************************************************************************//* DESCRIPTION: Returns the factorial of namber "n"; Returns null if "n" is invalid.*//* PARAMETERS: n - a positive integer *//************************************************************************************/function factorial(n){ if(n < 0 || !isInteger(n)) { // alert("Error \"factorial\": " + n + " is not valid number."); return; } if(n == 0) return 1; if(n == 1) return n; return (n * factorial(n - 1));}/*******************************************************************************//* DESCRIPTION: Returns n th fibonacci number; Returns null if "n" is invalid. *//* PARAMETERS: n - a positive integer greater than zero *//*******************************************************************************/function fibonacci(n){ if(n < 1 || !isInteger(n)) { // alert("Error \"fibonacci\": " + n + " is not valid number."); return; } if(n == 1 || n == 2) return 1; return fibonacci(n - 1) + fibonacci(n - 2);}/********************************************************************//* DESCRIPTION: Returns wheather the number "n" is an even number. *//* PARAMETERS: n - an integer or a string representing integer. *//********************************************************************/function isEven(n){ if(!isInteger(n)) { // alert("Error \"roundOff\": " + n + " or " + r + " is not valid number."); return; } return(n%2 == 0);}/*************************************************************//* DESCRIPTION: Returns wheather the number "n" is a float. *//* PARAMETERS: n - a float or a string representing float. *//*************************************************************//*function isFloat(n){ return (parseFloat("" + n) === n);} *//******************************************************************//* DESCRIPTION: Returns wheather the number "n" is an integer. *//* PARAMETERS: n - an integer or a string representing integer. *//******************************************************************/function isInteger(n){ if(isNaN(n)) return false; return(parseInt("" + n) == n);} /******************************************************************//* DESCRIPTION: Returns wheather the number "n" is a prime number.*//* PARAMETERS: n - a positive integer greater than zero. *//******************************************************************/function isPrime(n){ if(!isInteger(n) || n < 1) { // alert("Error \"isPrime\": " + n + " is not valid number."); return; } for(var i = 2; i < n - 1; i++) { if(n % i == 0) return false; } return true;} /********************************************************************//* DESCRIPTION: Returns wheather the number "n" is an odd number. *//* PARAMETERS: n - an integer or a string representing integer. *//********************************************************************/function isOdd(n){ if(!isInteger(n)) { // alert("Error \"roundOff\": " + n + " or " + r + " is not valid number."); return; } return(!isEven(n));}/********************************************************************//* DESCRIPTION: Logarithm of number "n" to the base a. *//* PARAMETERS: n - a number; a - base. *//********************************************************************/function log(n,a){ if(isNaN(a) || isNaN(n)) return; return(Math.log(n)/Math.log(a));}/*********************************************************************//* DESCRIPTION: Rounds off the number "n" to "digits" decimal places.*//* PARAMETERS: n - a number; digits - number of decimal places. *//*********************************************************************/function roundOff(n,digits){ var temp; if(isNaN(n) || !isInteger(digits)) { // alert("Error \"roundOff\": " + n + " or " + r + " is not valid number."); return; } if(digits < 0) { // alert("Error \"roundOff\": " + digits + " must be greater or equal to zero."); return null; } if(digits == 0) return Math.round(n); temp = Math.pow(10,digits) return(Math.round(n * temp)/temp);}/********************************************************************************//* DESCRIPTION: Returns a string representation of the binary convertion of "n".*//* PARAMETERS: n - a positive integer. *//********************************************************************************/function toBinary(n){ var out = ""; var temp; if(!isInteger(n) || n < 0) { // alert("Error \"toBinary\": " + n + " is not valid number."); return; } if(n == 0) return 0; temp = n; while(temp > 0) { out = (temp % 2) + out; temp = parseInt(temp / 2); } return out;}/********************************************************************************//* DESCRIPTION: Returns an integer. *//* PARAMETERS: n - a string representation of the binary number. *//********************************************************************************/function toDecimal(n){ var out = 0; var temp = ""; var startFound = false; temp += n; if(!validBinaryNumber(temp)) return; for(var i = 0; i < temp.length; i++) { if(temp.charAt(i) == '1') startFound = true; if(startFound) out += parseInt(temp.charAt(i)) * Math.pow(2, temp.length - (i + 1)); } return out;}function validBinaryNumber(n){ for(var i = 0; i< n.length; i++) { if(n.charAt(i) != '0' && n.charAt(i) != '1') return false; } return true; }//--></script><script language="JavaScript">var functionNames;var rules;var farguments;var n, r;var IE = document.all;var NS = document.layers;function setText(what,str){ if(IE) what.innerHTML = str; else if(NS) { what.document.open(); what.document.write(str);what.document.close(); 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