I am an abstract representation of a number. My subclasses Float, Fraction, and Integer, and their subclasses, provide concrete representations of a numeric quantity.

All my subclasses participate in a simple type coercion mechanism that supports mixed-mode arithmetic and comparisons. It works as follows: If
self<typeA> op: arg<typeB>
fails because of incompatible types, then it is retried in the following guise:
(arg adaptTypeA: self) op: arg adaptToTypeA.
This gives the arg of typeB an opportunity to resolve the incompatibility, knowing exactly what two types are involved. If self is more general, then arg will be converted, and viceVersa. This mechanism is extensible to any new number classes that one might wish to add to Squeak. The only requirement is that every subclass of Number must support a pair of conversion methods specific to each of the other subclasses of Number.

	as yet unclassified
	reduce

	comparing
	closeTo:

	converting
	@ adaptToCollection:andSend: adaptToFloat:andSend: adaptToFraction:andSend: adaptToInteger:andSend: adaptToPoint:andSend: adaptToString:andSend: asB3DVector3 asInteger asNumber asPoint asSmallAngleDegrees asSmallPositiveDegrees degreesToRadians radiansToDegrees

	filter streaming
	byteEncode:

	intervals
	to: to:by: to:by:do: to:do:

	mathematical functions
	arcCos arcSin arcTan arcTan: cos exp floorLog: interpolateTo:at: ln log log: raisedTo: raisedToInteger: sin sqrt squared tan

	printing
	defaultLabelForInspector isOrAreStringWith: newTileMorphRepresentative printOn: printStringBase: storeOn: storeOn:base: storeStringBase: stringForReadout

	testing
	basicType even isDivisibleBy: isInf isInfinite isNaN isNumber isZero negative odd positive sign strictlyPositive

	truncation and round off
	ceiling detentBy:atMultiplesOf:snap: floor roundTo: roundUpTo: rounded truncateTo: truncated

	vocabulary
	vocabularyDemanded

	instance creation
	readFrom: readFrom:base: readRemainderOf:from:base:withSign:

	arithmetic	top
	* Answer the result of multiplying the receiver by aNumber.
	+ Answer the sum of the receiver and aNumber.
	- Answer the difference between the receiver and aNumber.
	/ Answer the result of dividing the receiver by aNumber.
	// Integer quotient defined by division with truncation toward negative infinity. 9//4 = 2, -9//4 = -3. -0.9//0.4 = -3. \\ answers the remainder from this division.
	\\ modulo. Remainder defined in terms of //. Answer a Number with the same sign as aNumber. e.g. 9\\4 = 1, -9\\4 = 3, 9\\-4 = -3, 0.9\\0.4 = 0.1.
	abs Answer a Number that is the absolute value (positive magnitude) of the receiver.
	negated Answer a Number that is the negation of the receiver.
	quo: Integer quotient defined by division with truncation toward zero. -9 quo: 4 = -2, -0.9 quo: 0.4 = -2. rem: answers the remainder from this division.
	reciprocal Answer 1 divided by the receiver. Create an error notification if the receiver is 0.
	rem: Remainder defined in terms of quo:. Answer a Number with the same sign as self. e.g. 9 rem: 4 = 1, -9 rem: 4 = -1. 0.9 rem: 0.4 = 0.1.

	as yet unclassified	top
	reduce If self is close to an integer, return that integer

	comparing	top
	closeTo: are these two numbers close?

	converting	top
	@ Primitive. Answer a Point whose x value is the receiver and whose y value is the argument. Optional. No Lookup. See Object documentation whatIsAPrimitive.
	adaptToCollection:andSend: If I am involved in arithmetic with a Collection, return a Collection of the results of each element combined with me in that expression.
	adaptToFloat:andSend: If I am involved in arithmetic with a Float, convert me to a Float.
	adaptToFraction:andSend: If I am involved in arithmetic with a Fraction, convert us and evaluate exprBlock.
	adaptToInteger:andSend: If I am involved in arithmetic with a Integer, convert us and evaluate exprBlock.
	adaptToPoint:andSend: If I am involved in arithmetic with a Point, convert me to a Point.
	adaptToString:andSend: If I am involved in arithmetic with a String, convert it to a Number.
	asB3DVector3
	asInteger Answer an Integer nearest the receiver toward zero.
	asNumber
	asPoint Answer a Point with the receiver as both coordinates; often used to supply the same value in two dimensions, as with symmetrical gridding or scaling.
	asSmallAngleDegrees Return the receiver normalized to lie within the range (-180, 180)
	asSmallPositiveDegrees Return the receiver normalized to lie within the range (0, 360)
	degreesToRadians The receiver is assumed to represent degrees. Answer the conversion to radians.
	radiansToDegrees The receiver is assumed to represent radians. Answer the conversion to degrees.

	filter streaming	top
	byteEncode:

	intervals	top
	to: Answer an Interval from the receiver up to the argument, stop, incrementing by 1.
	to:by: Answer an Interval from the receiver up to the argument, stop, incrementing by step.
	to:by:do: Normally compiled in-line, and therefore not overridable. Evaluate aBlock for each element of the interval (self to: stop by: step).
	to:do: Normally compiled in-line, and therefore not overridable. Evaluate aBlock for each element of the interval (self to: stop by: 1).

	mathematical functions	top
	arcCos The receiver is the cosine of an angle. Answer the angle measured in radians.
	arcSin The receiver is the sine of an angle. Answer the angle measured in radians.
	arcTan The receiver is the tangent of an angle. Answer the angle measured in radians.
	arcTan: The receiver is the tangent of an angle. Answer the angle measured in radians.
	cos The receiver represents an angle measured in radians. Answer its cosine.
	exp Answer the exponential of the receiver as a floating point number.
	floorLog: Answer the floor of the log base radix of the receiver.
	interpolateTo:at:
	ln Answer the natural log of the receiver.
	log Answer the base-10 log of the receiver.
	log: Answer the log base aNumber of the receiver.
	raisedTo: Answer the receiver raised to aNumber.
	raisedToInteger: Answer the receiver raised to the power anInteger where the argument must be a kind of Integer. This is a special case of raisedTo:.
	sin The receiver represents an angle measured in radians. Answer its sine.
	sqrt Answer the square root of the receiver.
	squared Answer the receiver multipled by itself.
	tan The receiver represents an angle measured in radians. Answer its tangent.

	printing	top
	defaultLabelForInspector Answer the default label to be used for an Inspector window on the receiver.
	isOrAreStringWith:
	newTileMorphRepresentative
	printOn: Default print radix is 10
	printStringBase:
	storeOn: Normal printing is OK for storing
	storeOn:base: Append my printed representation to aStream, incuding the base.
	storeStringBase:
	stringForReadout

	testing	top
	basicType Answer a symbol representing the inherent type of the receiver
	even Answer whether the receiver is an even number.
	isDivisibleBy:
	isInf
	isInfinite
	isNaN
	isNumber Overridden to return true in Number, natch
	isZero
	negative Answer whether the receiver is mathematically negative.
	odd Answer whether the receiver is an odd number.
	positive Answer whether the receiver is positive or equal to 0. (ST-80 protocol). See also strictlyPositive
	sign Answer 1 if the receiver is greater than 0, -1 if less than 0, else 0.
	strictlyPositive Answer whether the receiver is mathematically positive.

	truncation and round off	top
	ceiling Answer the integer nearest the receiver toward positive infinity.
	detentBy:atMultiplesOf:snap: Map all values that are within detent/2 of any multiple of grid to that multiple. Otherwise, if snap is true, return self, meaning that the values in the dead zone will never be returned. If snap is false, then expand the range between dead zones so that it covers the range between multiples of the grid, and scale the value by that factor.
	floor Answer the integer nearest the receiver toward negative infinity.
	roundTo: Answer the nearest number that is a multiple of quantum.
	roundUpTo: Answer the next multiple of aNumber toward infinity that is nearest the receiver.
	rounded Answer the integer nearest the receiver.
	truncateTo: Answer the next multiple of aNumber toward zero that is nearest the receiver.
	truncated Answer an integer nearest the receiver toward zero.

	vocabulary	top
	vocabularyDemanded Answer the vocabulary normally preferred by this object

	examples	top
	exampleFor: Provide a MethodCall with a valid example of aSelector, ready to run. If 'all', provide all tests we know about for SUnit tests. When 'all', each will be a Verifier, with an expected answer. Returns a list of MethodCalls, Verifiers, or VerifierOfPropertys.

	instance creation	top
	readFrom: Answer a number as described on aStream. The number may include a leading radix specification, as in 16rFADE
	readFrom:base: Answer a number as described on aStream in the given number base.
	readRemainderOf:from:base:withSign: Read optional fractional part and exponent, and return the final result