XML: Modulus Operator - Revision history

N4gix: /* XML: Modulus Operator */

2013-04-08T15:52:41Z

XML: Modulus Operator

← Older revision		Revision as of 10:52, 8 April 2013
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	'''NOTA BENE:'''		'''NOTA BENE:'''
	It was pointed out by "mgh" that the "XML modulus function" '''x y %''' in C/C++ is equivalent to:		It was pointed out by "mgh" that the "XML modulus function" '''x y %''' in C/C++ is mathematically equivalent to:

	(fabs(x)/x)(fabs(x)-int(fabs(x)/fabs(y))fabs(y))		(fabs(x)/x)(fabs(x)-int(fabs(x)/fabs(y))fabs(y))
			Of course, since C/C++ has a defined function, actual usage would be:
			fmod(x,y)

			#include <math.h>
			double fmod( double x, double y)

	[[Category:Aircraft Design]]		[[Category:Aircraft Design]]
	[[Category:Panel and Gauge Design]]		[[Category:Panel and Gauge Design]]

N4gix: /* XML: Modulus Operator */

2013-04-08T15:44:18Z

XML: Modulus Operator

← Older revision		Revision as of 10:44, 8 April 2013
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	A = 1		A = 1

			'''NOTA BENE:'''
			It was pointed out by "mgh" that the "XML modulus function" '''x y %''' in C/C++ is equivalent to:

			(fabs(x)/x)(fabs(x)-int(fabs(x)/fabs(y))fabs(y))

	[[Category:Aircraft Design]]		[[Category:Aircraft Design]]
	[[Category:Panel and Gauge Design]]		[[Category:Panel and Gauge Design]]

Arno at 18:49, 22 August 2011

2011-08-22T18:49:09Z

← Older revision		Revision as of 13:49, 22 August 2011
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	[[Category:Aircraft Design]]		[[Category:Aircraft Design]]
	[[Category:Panel & Gauge Design]]		[[Category:Panel and Gauge Design]]

BASys at 21:50, 9 August 2011

2011-08-09T21:50:00Z

← Older revision		Revision as of 16:50, 9 August 2011
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	{{Infobox-Applicable-FSVersion		{{Infobox-Applicable-FSVersion
	\| FSXI = ~~true~~		\| FSXI = false
	\| FSXA = true		\| FSXA = true
	\| FSX = true		\| FSX = true
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	'''QUESTION:''' ''What does the expression "123 2 %" mean?''		'''QUESTION:''' ''What does the expression "123 2 %" mean?''

	The modulus, or remainder, operator divides number1 by number2 and returns only the remainder as result. The sign of result is the same as the sign of number1. The value of result is between 0 and the absolute value of number2.		The modulus, or remainder, operator divides number1 by number2 and returns only the remainder as result.

			The sign of result is the same as the sign of number1.

			The value of result is between 0 and the absolute value of number2.



	In XML syntax, the general statement is:		In XML syntax, the general statement is:

	'''''number1 number2 %'''''		'''''number1 number2 %'''''


	For example, in the following expression, A (which is result) equals 5.6.		For example, in the following expression, A (which is result) equals 5.6.
Line 33:		Line 40:

	Therefore A = 5.6		Therefore A = 5.6



	The above is an example where the result is certainly not obvious!		The above is an example where the result is certainly not obvious!
	The "%" (or "mod") operator in computer languages is simply the remainder. For
	example,		The "%" (or "mod") operator in computer languages is simply the remainder.

			For example,

	17 3 % = 2		17 3 % = 2
Line 48:		Line 59:
	17 = 3 * 5 + 2		17 = 3 * 5 + 2

	~~There are some tricky issues when negative numbers are used, but that~~
	~~shouldn't ordinarily be necessary.~~

	In math (number theory), the term is used a little differently. The
	"modulus" is actually not the remainder, but the number you are		There are some tricky issues when negative numbers are used,
	dividing by; and "mod" is not an operator, but a label telling "in		but that shouldn't ordinarily be necessary.
	what sense two quantities are considered congruent, or equal." For
	example, we would say

			In math (number theory), the term is used a little differently.

			The "modulus" is actually not the remainder,

			but the number you are dividing by;

			and "mod" is not an operator,

			but a label telling "in what sense two quantities are considered congruent, or equal."



			For example, we would say

	17 = 11 (mod 3)		17 = 11 (mod 3)

BASys: Infobox-Applicable-FSVersion

2011-03-27T09:07:05Z

Infobox-Applicable-FSVersion

← Older revision		Revision as of 04:07, 27 March 2011
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			{{Infobox-Applicable-FSVersion
			\| FSXI = true
			\| FSXA = true
			\| FSX = true
			\| FS2004 = true
			\| FS2002 = false
			\| FS2000 = false
			\| FS98 = false
			}}
	==XML: Modulus Operator==		==XML: Modulus Operator==

N4gix: New page: ==XML: Modulus Operator== '''QUESTION:''' ''What does the expression "123 2 %" mean?'' The modulus, or remainder, operator divides number1 by number2 and returns only the remainder as re...

2010-06-27T13:30:40Z

New page: ==XML: Modulus Operator== '''QUESTION:''' ''What does the expression "123 2 %" mean?'' The modulus, or remainder, operator divides number1 by number2 and returns only the remainder as re...

New page

==XML: Modulus Operator==

'''QUESTION:''' ''What does the expression "123 2 %" mean?''

The modulus, or remainder, operator divides number1 by number2 and returns only the remainder as result. The sign of result is the same as the sign of number1. The value of result is between 0 and the absolute value of number2.

In XML syntax, the general statement is:

'''''number1 number2 %'''''

For example, in the following expression, A (which is result) equals 5.6.

A = 19 6.7 %

This is equivalent to:

19 / 6.7 = 2.8358208

We throw away the fraction leaving 2 as the result

Now we have:

A = 19 - (6.7 * 2)

Therefore A = 5.6

The above is an example where the result is certainly not obvious!
The "%" (or "mod") operator in computer languages is simply the remainder. For
example,

17 3 % = 2

because

17 / 3 = 5 rem 2

which in turn means

17 = 3 * 5 + 2

There are some tricky issues when negative numbers are used, but that
shouldn't ordinarily be necessary.

In math (number theory), the term is used a little differently. The
"modulus" is actually not the remainder, but the number you are
dividing by; and "mod" is not an operator, but a label telling "in
what sense two quantities are considered congruent, or equal." For
example, we would say

17 = 11 (mod 3)

(read as "17 is congruent to 11, modulo 3"), meaning that 17 and 11
both leave the SAME remainder when divided by 3. You probably won't
see this usage if you are only reading about programming, but it's
worth being aware of if you look deeper into the math behind it.

The expression a = b (% n) means that n is a divisor of a - b. This
sentence is read, "a is congruent to b modulo n." It is something
like a remainder, because if you subtract a remainder from the
dividend, the divisor will go into the result evenly.

Examples: 100 = 86 (% 7), because 100 - 86 = 14 has 7 as a divisor.
On the other hand, if you divide 100 by 7, the quotient is 14 and
remainder is 2, and 100 = 2 (% 7), too.

Now, back to your original question, what would 123 2 % be?

A = 123 2 %

123 / 2 = 61.5, therefore:

A = 123 - (61 * 2)

A = 1

[[Category:Aircraft Design]]
[[Category:Panel & Gauge Design]]