Numeric Limits/en - Versionsgeschichte

Sv: Änderung übernommen aus altem Wiki von cg, 15.2.26

2026-02-23T10:49:19Z

Änderung übernommen aus altem Wiki von cg, 15.2.26

2025-05-09T19:10:16Z

Syntax (In Smalltalk and FreezeValues)

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	== Syntax (In Smalltalk and FreezeValues) ==		== Syntax (In Smalltalk and FreezeValues) ==

			See also: "[[Smalltalk_Syntax_Cheat_Sheet]]".

	====Integers (arbitrary size)====		====Integers (arbitrary size)====

2025-05-09T18:38:45Z

FixedPoint

2025-05-09T18:37:45Z

Fractions (arbitrary numerator and denominator)

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	(1/2)		(1/2)
	(1/101)		(1/101)
			====FixedPoint ====
			123s2
			123.456s2

	====Floats (actually 64bit IEEE doubles)====		====Floats (actually 64bit IEEE doubles)====

2025-05-09T18:37:00Z

Constants (Syntax)

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	arbitrary precision fractions and limited precision floating point numbers in various precisions.		arbitrary precision fractions and limited precision floating point numbers in various precisions.

			== Syntax (In Smalltalk and FreezeValues) ==
	== Constants (Syntax) ==

	====Integers (arbitrary size)====		====Integers (arbitrary size)====

2025-05-09T18:36:23Z

Constants (Syntax)

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	== Constants (Syntax) ==		== Constants (Syntax) ==

	Integers (arbitrary size):		====Integers (arbitrary size)====
	1234567		1234567
	0xFF00AA		0xFF00AA
	0b01010101		0b01010101

	Fractions (arbitrary numerator and denominator):		====Fractions (arbitrary numerator and denominator)====
	(1/2)		(1/2)
	(1/101)		(1/101)

	Floats (actually 64bit IEEE doubles):		====Floats (actually 64bit IEEE doubles)====
	12.456		12.456
	1e17		1e17
	1.0e23		1.0e23

	LongFloats (actually 80bit IEEE long doubles):		====LongFloats (actually 80bit IEEE long doubles)====
	12.456q		12.456q
	1e17q		1e17q
	1.0e23q		1.0e23q

	QuadFloats (actually 128bit IEEE long doubles):		====QuadFloats (actually 128bit IEEE long doubles)====
	12.456Q		12.456Q
	1e17Q		1e17Q
	1.0e23Q		1.0e23Q

	LargeFloats (actually 200bit software floats):		====LargeFloats (actually 200bit software floats)====
	12.456QL		12.456QL
	1e17QL		1e17QL
	1.0e23QL		1.0e23QL

	Complex:		====Complex====
	1+5i		1+5i
	4i		4i

2025-05-09T18:35:46Z

Exact Integer Numbers

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 Expecco supports arbitrary precision integer arithmetic,
 arbitrary precision fractions and limited precision floating point numbers in various precisions.
 == Exact Integer Numbers ==

2025-04-17T15:16:05Z

Higher Precision Numbers

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	Notice that the use of any but double precision floats (which are directly supported by the machine) may come at a performance price.		Notice that the use of any but double precision floats (which are directly supported by the machine) may come at a performance price.
	The speed of operations degrades from double -> single -> extended -> ieee128 -> quad double -> ieee256 -> ieee arbitrary - largeFloat.		<br>The speed of operations degrades from double -> single -> extended -> ieee128 -> quad double -> ieee256 -> ieee arbitrary - largeFloat.
			<br>This is especially true for the trigonometric and math functions, where both more iterations are needed to get to the desired precision in the series computations and the individual operations are also much slower.

	Be aware that LargeFloats are super precise, but also super slow.		Be aware that LargeFloats are super precise, but also super slow.

2025-04-08T19:14:09Z

Fractions

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	(a // b) + (a \\ b) = a		(a // b) + (a \\ b) = a

	The "\\" is the standard Smalltalk ~~modulo~~ operator; Smalltalk/X also provides "%" as an alias (for users with a C/Java background).<br>Thus you can also write:		The "\\" is the standard Smalltalk remainder operator; Smalltalk/X also provides "%" as an alias (for users with a C/Java background).<br>Thus you can also write:
	(a // b) + (a % b) = a		(a // b) + (a % b) = a

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	For positive a and b, the two operator pairs deliver the same result.		For positive a and b, the two operator pairs deliver the same result.
	For negative arguments, these are different. Be aware and think about the domain of your arguments.		For negative arguments, these are different. Be aware and think about the domain of your arguments.
			Be reminded that the Smalltalk remainder "%" returns different results as C or Java, when operands are negative.

	In addition, the usual ceiling, floor and rounding operations are available (both on fractions and on limited precision reals):		In addition, the usual ceiling, floor and rounding operations are available (both on fractions and on limited precision reals):

2025-04-08T19:11:37Z

Exact Integer Numbers

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	Hint: Therefore, you can use a [[Tools_Notepad/en \|Workspace (Notepad) window]] as a calculator with arbitrary precision.		Hint: Therefore, you can use a [[Tools_Notepad/en \|Workspace (Notepad) window]] as a calculator with arbitrary precision.

	<sup>1</sup>) be aware that this only computes correct results if the elementary action is written in either Smalltalk or in the builtin JavaScript syntax. Depending on the version, it may or may not be correct, if using Java/Groovy, Python, C/C++, Node.js etc.		<sup>1</sup>) be aware that this only computes correct results if the elementary action is written in either Smalltalk or in the builtin JavaScript syntax.<br>Depending on the version, it may or may not be correct, if using Java/Groovy, Python, C/C++, Node.js etc.

	== Exact Fractions, ScaledDecimals and FixedDecimals ==		== Exact Fractions, ScaledDecimals and FixedDecimals ==