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Top Forums Shell Programming and Scripting Newbie question: modulo operator with negative operand, bug or feature? Post 302951908 by drl on Tuesday 11th of August 2015 02:44:50 PM
Old 08-11-2015
Hi.

Somewhat extensively for the perl situation:
Quote:
Binary "%" is the modulo operator, which computes the division remainder of its first argument with respect to its second argument. Given integer operands $m and $n : If $n is positive, then $m % $n is $m minus the largest multiple of $n less than or equal to $m . If $n is negative, then $m % $n is $m minus the smallest multiple of $n that is not less than $m (that is, the result will be less than or equal to zero). If the operands $m and $n are floating point values and the absolute value of $n (that is abs($n)) is less than (UV_MAX + 1) , only the integer portion of $m and $n will be used in the operation (Note: here UV_MAX means the maximum of the unsigned integer type). If the absolute value of the right operand (abs($n)) is greater than or equal to (UV_MAX + 1) , "%" computes the floating-point remainder $r in the equation ($r = $m - $i*$n) where $i is a certain integer that makes $r have the same sign as the right operand $n (not as the left operand $m like C function fmod() ) and the absolute value less than that of $n . Note that when use integer is in scope, "%" gives you direct access to the modulo operator as implemented by your C compiler. This operator is not as well defined for negative operands, but it will execute faster.
perlop - perldoc.perl.org

As pointed to from the table of how signs are propagated to results of integer modulo expressions in many programming languages: https://en.wikipedia.org/wiki/Modulo...dulo_operation

Best wishes ... cheers, drl
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integer(3pm)						 Perl Programmers Reference Guide					      integer(3pm)

NAME
integer - Perl pragma to use integer arithmetic instead of floating point SYNOPSIS
use integer; $x = 10/3; # $x is now 3, not 3.33333333333333333 DESCRIPTION
This tells the compiler to use integer operations from here to the end of the enclosing BLOCK. On many machines, this doesn't matter a great deal for most computations, but on those without floating point hardware, it can make a big difference in performance. Note that this only affects how most of the arithmetic and relational operators handle their operands and results, and not how all numbers everywhere are treated. Specifically, "use integer;" has the effect that before computing the results of the arithmetic operators (+, -, *, /, %, +=, -=, *=, /=, %=, and unary minus), the comparison operators (<, <=, >, >=, ==, !=, <=>), and the bitwise operators (|, &, ^, <<, >>, |=, &=, ^=, <<=, >>=), the operands have their fractional portions truncated (or floored), and the result will have its fractional portion truncated as well. In addition, the range of operands and results is restricted to that of familiar two's complement integers, i.e., -(2**31) .. (2**31-1) on 32-bit architectures, and -(2**63) .. (2**63-1) on 64-bit architectures. For example, this code use integer; $x = 5.8; $y = 2.5; $z = 2.7; $a = 2**31 - 1; # Largest positive integer on 32-bit machines $, = ", "; print $x, -$x, $x + $y, $x - $y, $x / $y, $x * $y, $y == $z, $a, $a + 1; will print: 5.8, -5, 7, 3, 2, 10, 1, 2147483647, -2147483648 Note that $x is still printed as having its true non-integer value of 5.8 since it wasn't operated on. And note too the wrap-around from the largest positive integer to the largest negative one. Also, arguments passed to functions and the values returned by them are not affected by "use integer;". E.g., srand(1.5); $, = ", "; print sin(.5), cos(.5), atan2(1,2), sqrt(2), rand(10); will give the same result with or without "use integer;" The power operator "**" is also not affected, so that 2 ** .5 is always the square root of 2. Now, it so happens that the pre- and post- increment and decrement operators, ++ and --, are not affected by "use integer;" either. Some may rightly consider this to be a bug -- but at least it's a long-standing one. Finally, "use integer;" also has an additional affect on the bitwise operators. Normally, the operands and results are treated as unsigned integers, but with "use integer;" the operands and results are signed. This means, among other things, that ~0 is -1, and -2 & -5 is -6. Internally, native integer arithmetic (as provided by your C compiler) is used. This means that Perl's own semantics for arithmetic operations may not be preserved. One common source of trouble is the modulus of negative numbers, which Perl does one way, but your hardware may do another. % perl -le 'print (4 % -3)' -2 % perl -Minteger -le 'print (4 % -3)' 1 See "Pragmatic Modules" in perlmodlib, "Integer Arithmetic" in perlop perl v5.16.3 2013-02-26 integer(3pm)
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