It turned out that the implementation of the modulo operator is different in Python and languages like Java In Java, the result has the sign of the dividend, but in Python, the sign is from the divisor Sometimes my dividends were negative, so the result, which is an array index, was negative and this is why I was getting IndexOutOtBoundsExceptionComparison operations perform signed integer comparisons, analogous to those performed by Java's relational and equality operators Modular arithmetic operations are provided to compute residues, perform exponentiation, and compute multiplicative inverses These methods always return a nonnegative result, between 0 and (modulus 1), inclusive10^97 fulfills both the criteria It is the first 10digit prime number and fits in int data type as well In fact, any prime number less than 2^30 will be fine in order to prevent possible overflows How modulo is used A few distributive properties of modulo are as
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Java modulo negative
Java modulo negative-For Negative Numbers Input a = 23, b = 4 Output 1 Explanation modulo = 23 % 4 modulo = 23 4 * 6 modulo = 23 24 = 1 Other Explanation The number 23 can be written in terms of 4 as 23 = (6) * 4 1 So, here '1' is the resultModulus of negative numbers in math 15 The modulus of a number, can be found by multiplying it by −1 since, for example, −(−8) = 8 Variants of the definition In mathematics, the result of the modulo operation is an equivalence class, and any member of the class may be chosen as representative;
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The modulus of a negative number is found by ignoring the minus sign The modulus of a number is denoted by writing vertical lines around the number Note also that the modulus of a negative number can be found by multiplying it by −1 since, for example, − (−8) = 8 Also, how do you calculate modulo?C language modulus operator with negative values Here, we are going to learn about the behaviour of modulus operator with the negative numbers Submitted by IncludeHelp, on The modulus operator (%) operator in C The modulus operator is an arithmetic operator in C language;Numbers like 1 and 3 are odd, and 0 and 2 are even This can be computed with a simple Java method Modulo division With a modulo division, we determine if a number evenly divides into another In this way we tell if a number can be divided by 2 evenly—it is then even Warning For negative odd numbers, the remainder will be 1 not 1
// >> Return 1 consolelog(4%4);When the first operand is a negative value, the return value will always be negative, and vice versa for positive values Java Remainder (modulo) operator with negative numbers The sign of the first operand decides the sign of the result x % y always equals x % y You can think of the sign of the second operand as being ignoredHowever, the usual representative is the least positive residue, the smallest nonnegative
Java programmers usually call % the remainder operator, but you are correct that it is also commonly called the modulus operator In Visual Basic it's even written Mod, but it works the same as % in C / C# / Java etc In my opinion, rounding towards zero rather than negative infinity is a mistake and it only makes life harderIn programming, the modulo operation gives the remainder or signed remainder of a division, after one integer is divided by another integer It is one of the most used operators in programmingThis article discusses when and why the modulo operation yields a negative result Examples In C, 3 % 2 returns 1However, 3 % 2 is 1 and 3 % 2 gives 1 In Python, 3 % 2 is 1 and 3 % 2 is 1This video goes through how to apply the modulus operation
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Modulo Of Negative Numbers
Remainder of hashCode could be negative #77 cushon opened this issue on 6 comments Labels PriorityHigh TypeNewCheck migrated Comments cushon mentioned this issue on Calling Mathabs on a hashcode #136Often I might be using modulo in expressions with values that might go into the negative number range, and thus using a custom modulo method to get the results that I want is often called for The anglesjs library that contained the mathematical modulo method that prompted me to write this post appears to no longer be maintainedModulus Operator with negative integers When modulus operator is used with negative integers, the output retains the sign of the dividend jshell> 10 % 3 $66 ==> 1 jshell> 10 % 3 $67 ==> 1 jshell> 10 % 3 $68 ==> 1
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// >> Return 0Another way to see this is to take $11$ and keep adding $7$ to it until you get a positive number This works because, if you're working modulo $7$, then adding $7$ is the same as not changing the number (modulo $7$) So $11 7 \equiv 11 \pmod 7$, and $11 7 = 4$ Therefore $4 \equiv 11 \pmod 7$ Well, we're still negative Let's doIf the argument is NaN, this method will return NaN;
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Modulo Of Negative Numbers
The remainder is pretty easy to calculate 1 / 24 is 0, so the difference is 1 The modulo is also simple 1 is under 0, so it wraps back around to 23 The same problem happens, but backwards, if we use a negative modulo 12 / 5 is 2, so 12 rem 5 is the difference between 12 and 10, or 2The modulo operator is used to compute the remainder of an integer division that otherwise lost It's useful to do simple things like figuring out if a given number is even or odd, as well as more complex tasks like tracking the next writing position in a circular array The example code is available in the GitHub repositoryThe javamathBigDecimalremainder (BigDecimal divisor) method returns a BigDecimal whose value is (this % divisor) The remainder is given by thissubtract (thisdivideToIntegralValue (divisor)multiply (divisor)) This is not the modulo operation ie the result can be negative
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The remainder operator can be used with negative integers The rule is Perform the operation as if both operands were positive If the left operand is negative, then make the result negative If the left operand is positive, then make the result positive Ignore the sign of the right operand in all cases For exampleIn Java negative modulo does not change anything, if you use an Abs() anyway, just write r = x % abs(n) I don't like if statement, I'd rather write r = ((x%n) n) % n Concerning power of 2 modulo (2,4,8,16,etc) and positive answer, consider binary mask r = x & 63 – Fabyen Nov 17 '14 at 1343Negative Operands Java's modulus behaves, well, strangely In Java, the sign of the remainder follows the dividend, not the divisor as you would expect % can produce a negative result even with a positive divisor
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It truly is returning the remainder, not the least positive member of the congruence class You're right, java always returns the remainder instead of modular arithmetic For negative numbers, java returns the greatest negative congruent element, and for positive numbers, java returns the smallest positive congruent elementThe right operand (the number of positions to shift) is reduced to modulo 32 That is 5In this post, we will see about modulo or modulus operator in java Table of Contents hide Modulo operator Syntax Modulo operator usages Even odd program Prime number program Modulo operator behaviour with negative integer Modulo operator ( %) is used to find the remainder when one integer is divided by another integer
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Some languages like python return the modulus and some others like java or javascript are returning the remainder Example of % operator When the % operator is returning the remainder, you can have a negative modulo like in this example (in Javascript) consolelog(5%4);Java has one important arithmetical operator you may not be familiar with, %, also known as the modulus operatorThe modulus operator, % returns the remainder of a division operation eg, 15 % 4 = 3, 7 % 3 = 1, 5 % 5 = 0 As shown above, when we divide 17 (dividend) with 3 (divisor) then the quotient is 5 and the modulus (or remainder) is 2Modulo of Negative Numbers The modulo operator returns the remainder of a division But things get a little more tricky when you throw negative numbers into the mix 79 The modulo or often referred to as "mod" represents the remainder of a division In 1801 Gauss published a book covering modular arithmetics
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Output 1 % and / have same precedence and left to right associativity So % is performed first which results in 3 and / is performed next resulting in 1 The emphasis is, sign of left operand is appended to result in case of modulus operator in CJavaScript % (modulo) gives a negative result for negative numbers According to Google Calculator (13) % 64 is 51 According to Javascript (see this JSBin) it is 13About Modulo Calculator The Modulo Calculator is used to perform the modulo operation on numbers Modulo Given two numbers, a (the dividend) and n (the divisor), a modulo n (abbreviated as a mod n) is the remainder from the division of a by nFor instance, the expression "7 mod 5" would evaluate to 2 because 7 divided by 5 leaves a remainder of 2, while "10 mod 5"
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It is a binary operator and works with two operands It is used to find the remainderIf we provide positive or negative value as argument, this method will result positive value If the argument is Infinity, this method will result Positive Infinity;You may see the number Due to the peculiarities of Java, which we will cover later in other articles, the number may be slightly different on different computers But it will be close to the value 18 So, as you now understand, the modulus operator gives the remainder
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They act the same when the numbers are positive but much differently when the numbers are negative In Java, we can use MathfloorMod () to describe a modulo (or modulus) operation and % operator for the remainder operation See the result rem & divisor rem & divisor mod & divisor mod & divisorThe modulo operator is based on the same equations, but it uses Mathfloor () to compute quotients If both dividend and divisor are positive, the modulo operator produces the same results as the remainder operator (example 3) If, however, dividend and divisor have different signs, then the results are different (example 4)Use MathfloorMod () to Calculate the Mod of Two Number in Java Use the % Operator to Calculate the Mod of Two Number in Java The modulus or modulo operator returns the remainder of the two integers after division It is utilized in simple tasks like figuring out a number is even or not and more complex tasks like tracking the next writing
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First, we find the remainder of the given number by using the modulo (%) operator Multiply the variable reverse by 10 and add the remainder into it Divide the number by 10 Repeat the above steps until the number becomes 0 There are three ways to reverse a number in Java Reverse a number using while loopJava Modulo Operator Examples Use the modulo operator to compute remainders in division Loop and compute a simple hash code Modulo In programs we often use the modulo division operator to compute remainders A "%" performs modulo division It returns the part left over when the numbers are dividedThe Java modulus '%' operator is one of numerous operators built into the Java programming language The operator is used to calculate the remainder of the division between two numbers First, let us discuss how the operator works Contents hide 1 How to use the '%' operator
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Unlike pow, this method permits negative exponents Declaration Following is the declaration for javamathBigIntegermodPow() method public BigInteger modPow(BigInteger exponent, BigInteger m) Parameters exponent − The exponent m − The modulus Return Value This method returns a BigInteger object whose value is this exponent mod mFor example, if we count the number of occurrences of an event, we don't want to encounter a negative value The support for unsigned arithmetic has finally been part of the JDK as of version 8 This support came in the form of the Unsigned Integer API, primarily containing static methods in the Integer and Long classesModulo or Remainder Operator in Java Modulo or Remainder Operator returns the remainder of the two numbers after division If you are provided with two numbers, say A and B, A is the dividend and B is the divisor, A mod B is there a remainder of the division of A and B Modulo operator is an arithmetical operator which is denoted by %
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The javamathBigIntegermod(BigInteger m) returns a BigInteger whose value is (this mod m) This method differs from remainder in that it always returns a nonnegative BigInteger This method differs from remainder in that it always returns a nonnegative BigIntegerThe remainder computation itself is by definition exact Therefore, the remainder may contain more than mcgetPrecision() digits The remainder is given by thissubtract(thisdivideToIntegralValue(divisor, mc)multiply(divisor)) Note that this is not the modulo operation (the result can be negative)If the argument is equal to the value of IntegerMIN_VALUE or LongMIN_VALUE, the most negative representable int value or long value, the result is that same value, which is
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When both operands have type int, the modulus operator (with both operands) evaluates to int Normally, most programmers use the mod operator when both operands are positive After all, what does remainder mean when one or both operands are negative?Java Remainder (modulo) operator with negative numbers 11 % 5 == 1 11 % 5 == 1 11 % 5 == 1 The sign of the first operand decides the sign of the result x % y always equals x % y You can think of the sign of the second operand as being ignored Here's a diagram of x % 5 (which is the same as x % 5 )Both remainder and modulo are two similar operations;
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On this document we will be showing a java example on how to use the mod () method of BigInteger Class Basically this method performs the modulo operator between this BigInteger and method argument m or simply this % m This is similar in nature with the remainder () method of BigInteger class however in using the remainder, negative resultsEven so, Java allows for one or both operands to be negative What is the result?
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