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6.70 Float
- Defined in namespace Smalltalk
- Category: Language-Data types
- My instances represent floating point numbers that have 64 bits of
precision (well, less than that in precision; they are precisely the same
as C's "double" datatype). Besides the standard numerical operations,
I provide transcendental operations too.
6.70.1 Float class: basic
- e
- Returns the value of e. Hope is that it is precise enough
- epsilon
- Return the smallest Float x for which is 1 + x ~= 1
- infinity
- Return a Float that represents positive infinity. I hope that it is big enough, IEEE 8 byte floating point values (C doubles) overflow at 1e308.
- largest
- Return the largest normalized Float that is not infinite.
- ln10
- Returns the value of ln 10. Hope is that it is precise enough
- log10Base2
- Returns the value of log2 10. Hope is that it is precise enough
- mantissaBits
- Answer the number of bits in the mantissa. 1 + (2^-mantissaBits) = 1
- nan
- Return a Float that represents a mathematically indeterminate value (e.g. Inf - Inf, Inf / Inf)
- negativeInfinity
- Return a Float that represents negative infinity. I hope that it is big enough, IEEE 8 byte floating point values (C doubles) overflow at -1e308.
- pi
- Returns the value of pi. Hope is that it is precise enough
- smallest
- Return the smallest normalized Float that is not infinite.
- smallestAbs
- Return the smallest normalized Float that is > 0
6.70.2 Float class: byte-order dependancies
- exponentByte
- Answer the byte of the receiver that contains the exponent
- leastSignificantMantissaByte
- Answer the least significant byte in the receiver among those that contain the mantissa
6.70.3 Float class: converting
- coerce: aNumber
- Answer aNumber converted to a Float
6.70.4 Float: arithmetic
- // aNumber
- Return the integer quotient of dividing the receiver by aNumber with truncation towards negative infinity.
- \\ aNumber
- Return the remainder of dividing the receiver by aNumber with truncation towards negative infinity.
- integerPart
- Return the receiver's integer part
6.70.5 Float: built ins
- * arg
- Multiply the receiver and arg and answer another Number
- + arg
- Sum the receiver and arg and answer another Number
- - arg
- Subtract arg from the receiver and answer another Number
- / arg
- Divide the receiver by arg and answer another Float
- < arg
- Answer whether the receiver is less than arg
- <= arg
- Answer whether the receiver is less than or equal to arg
- = arg
- Answer whether the receiver is equal to arg
- > arg
- Answer whether the receiver is greater than arg
- >= arg
- Answer whether the receiver is greater than or equal to arg
- arcCos
- Answer the arc-cosine of the receiver
- arcSin
- Answer the arc-sine of the receiver
- arcTan
- Answer the arc-tangent of the receiver
- ceiling
- Answer the integer part of the receiver, truncated towards +infinity
- cos
- Answer the cosine of the receiver
- exp
- Answer 'e' (2.718281828459...) raised to the receiver
- exponent
- Answer the exponent of the receiver in mantissa*2^exponent representation ( |mantissa|<=1 )
- floor
- Answer the integer part of the receiver, truncated towards -infinity
- fractionPart
- Answer the fractional part of the receiver
- hash
- Answer an hash value for the receiver
- ln
- Answer the logarithm of the receiver in base 'e' (2.718281828459...)
- primHash
- Private - Answer an hash value for the receiver
- raisedTo: aNumber
- Answer the receiver raised to its aNumber power
- sin
- Answer the sine of the receiver
- sqrt
- Answer the square root of the receiver
- tan
- Answer the tangent of the receiver
- timesTwoPower: arg
- Answer the receiver multiplied by 2^arg
- truncated
- Truncate the receiver towards zero and answer the result
- ~= arg
- Answer whether the receiver is not equal to arg
6.70.6 Float: coercing
- asExactFraction
- Convert the receiver into a fraction with optimal approximation, but with usually huge terms.
- asFloat
- Just defined for completeness. Return the receiver.
- asFraction
- Convert the receiver into a fraction with a good (but undefined) approximation
- coerce: aNumber
- Coerce aNumber to the receiver's class
- estimatedLog
- Answer an estimate of (self abs floorLog: 10)
- generality
- Answer the receiver's generality
- unity
- Coerce 1 to the receiver's class
- zero
- Coerce 0 to the receiver's class
6.70.7 Float: printing
- printOn: aStream
- Print a representation of the receiver on aStream
6.70.8 Float: storing
- storeOn: aStream
- Print a representation of the receiver on aStream
6.70.9 Float: testing
- isFinite
- Answer whether the receiver does not represent infinity, nor a NaN
- isInfinite
- Answer whether the receiver represents positive or negative infinity
- isNaN
- Answer whether the receiver represents a NaN
- negative
- Answer whether the receiver is negative
- positive
- Answer whether the receiver is positive
- sign
- Answer 1 if the receiver is greater than 0, -1 if less than 0, else 0.
- strictlyPositive
- Answer whether the receiver is > 0
6.70.10 Float: testing functionality
- isFloat
- Answer `true'.
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