"
COPYRIGHT (c) 1988 by Claus Gittinger
All Rights Reserved
This software is furnished under a license and may be used
only in accordance with the terms of that license and with the
inclusion of the above copyright notice. This software may not
be provided or otherwise made available to, or used by, any
other person. No title to or ownership of the software is
hereby transferred.
"
ArithmeticValue subclass:#Number
instanceVariableNames:''
classVariableNames:''
poolDictionaries:''
category:'Magnitude-Numbers'
!
!Number class methodsFor:'documentation'!
copyright
"
COPYRIGHT (c) 1988 by Claus Gittinger
All Rights Reserved
This software is furnished under a license and may be used
only in accordance with the terms of that license and with the
inclusion of the above copyright notice. This software may not
be provided or otherwise made available to, or used by, any
other person. No title to or ownership of the software is
hereby transferred.
"
!
documentation
"
abstract superclass for all kinds of numbers
[author:]
Claus Gittinger
[see also:]
Integer LargeInteger SmallInteger
LimitedPrecisionReal Float ShortFloat
Fraction FixedPoint
"
! !
!Number class methodsFor:'instance creation'!
fromString:aString
"for compatibility with other smalltalks - same as #readFrom:"
^ self readFrom:aString
"
Number fromString:'12345'
'12345' asNumber
"
"Modified: / 3.8.1998 / 20:05:11 / cg"
!
fromString:aString onError:exceptionBlock
"for compatibility with other smalltalks - same as #readFrom:"
^ self readFrom:aString onError:exceptionBlock
"
Number fromString:'12345' onError:0
Number fromString:'fooBarBaz' onError:0
"
"Modified: / 3.8.1998 / 20:05:34 / cg"
!
readFrom:aStringOrStream onError:exceptionBlock
"return the next Number from the (character-)stream aStream;
skipping all whitespace first; return the value of exceptionBlock,
if no number can be read."
ErrorSignal handle:[:ex |
^ exceptionBlock value
] do:[
|str nextChar radix value negative signExp freakOut|
str := aStringOrStream readStream.
nextChar := str skipSeparators.
nextChar isNil ifTrue:[^ exceptionBlock value].
freakOut := [^ exceptionBlock value].
(nextChar == $-) ifTrue:[
negative := true.
str next.
nextChar := str peekOrNil
] ifFalse:[
negative := false.
(nextChar == $+) ifTrue:[
str next.
nextChar := str peekOrNil
]
].
nextChar isDigit ifFalse:[
^ exceptionBlock value.
"/ value := super readFrom:str.
"/ negative ifTrue:[value := value negated].
"/ ^ value
].
value := Integer readFrom:str radix:10 onError:freakOut.
nextChar := str peekOrNil.
((nextChar == $r) or:[ nextChar == $R]) ifTrue:[
str next.
radix := value.
value := Integer readFrom:str radix:radix onError:freakOut.
] ifFalse:[
radix := 10
].
(nextChar == $.) ifTrue:[
str next.
nextChar := str peekOrNil.
(nextChar notNil and:[nextChar isDigitRadix:radix]) ifTrue:[
value := value asFloat
+ (Number readMantissaFrom:str radix:radix).
nextChar := str peekOrNil
]
].
((nextChar == $e) or:[nextChar == $E]) ifTrue:[
str next.
nextChar := str peekOrNil.
signExp := 1.
(nextChar == $+) ifTrue:[
str next.
nextChar := str peekOrNil.
] ifFalse:[
(nextChar == $-) ifTrue:[
str next.
nextChar := str peekOrNil.
signExp := -1
]
].
(nextChar notNil and:[(nextChar isDigitRadix:radix)]) ifTrue:[
value := value asFloat
* (10.0 raisedToInteger:
((Integer readFrom:str radix:radix onError:freakOut) * signExp))
]
].
negative ifTrue:[
^ value negated
].
^ value
]
"
Number readFrom:(ReadStream on:'54.32e-01')
Number readFrom:(ReadStream on:'12345678901234567890')
Number readFrom:(ReadStream on:'16rAAAAFFFFAAAAFFFF')
Number readFrom:'16rAAAAFFFFAAAAFFFF'
Number readFrom:'0.000001'
'+00000123.45' asNumber
"
"Modified: / 14.4.1998 / 19:22:50 / cg"
!
readSmalltalkSyntaxFrom:aStream
"ST-80 compatibility (thanks to a note from alpha testers)
read and return the next Number in smalltalk syntax from the
(character-)stream aStream."
^ Scanner scanNumberFrom:aStream
"/ ^ Compiler evaluate:aStream compile:false "/ self readFrom:aStream.
"
Number readSmalltalkSyntaxFrom:(ReadStream on:'54.32e-01')
Number readSmalltalkSyntaxFrom:(ReadStream on:'12345678901234567890')
Number readSmalltalkSyntaxFrom:(ReadStream on:'16rAAAAFFFFAAAAFFFF')
Number readSmalltalkSyntaxFrom:(ReadStream on:'(1/10)')
Number readFrom:(ReadStream on:'(1/10)')
Number readSmalltalkSyntaxFrom:(ReadStream on:'+00000123.45')
Number readFrom:(ReadStream on:'+00000123.45')
"
"Modified: / 18.6.1998 / 23:02:57 / cg"
! !
!Number class methodsFor:'error reporting'!
raise:aSignalSymbol receiver:someNumber selector:sel arg:arg errorString:text
"ST-80 compatible signal raising. Provided for PD numeric classes"
|msg|
msg := MessageSend
receiver:someNumber
selector:sel
arguments:(Array with:arg).
^ (self perform:aSignalSymbol)
raiseRequestWith:msg
errorString:text
in:thisContext sender
"
Number
raise:#domainErrorSignal
receiver:1.0
selector:#sin
arg:nil
errorString:'foo bar test'
"
!
raise:aSignalSymbol receiver:someNumber selector:sel arguments:argArray errorString:text
"ST-80 compatible signal raising. Provided for PD numeric classes"
|msg|
msg := MessageSend
receiver:someNumber
selector:sel
arguments:argArray.
^ (self perform:aSignalSymbol)
raiseRequestWith:msg
errorString:text
in:thisContext sender
"
Number
raise:#domainErrorSignal
receiver:1.0
selector:#sin
arg:nil
errorString:'foo bar test'
"
!
raise:aSignalSymbol receiver:someNumber selector:sel errorString:text
"ST-80 compatible signal raising. Provided for PD numeric classes"
|msg|
msg := MessageSend
receiver:someNumber
selector:sel
arguments:#().
^ (self perform:aSignalSymbol)
raiseRequestWith:msg
errorString:text
in:thisContext sender
"
Number
raise:#domainErrorSignal
receiver:1.0
selector:#foo
errorString:'foo bar test'
"
! !
!Number class methodsFor:'private'!
readMantissaFrom:aStream radix:radix
"helper for readFrom: -
return the mantissa from the (character-)stream aStream;
no whitespace-skipping; error if no number available"
|nextChar value factor|
value := 0.0.
factor := 1.0 / radix.
nextChar := aStream peekOrNil.
[nextChar notNil and:[nextChar isDigitRadix:radix]] whileTrue:[
value := value + (nextChar digitValue * factor).
factor := factor / radix.
aStream next.
nextChar := aStream peekOrNil
].
^ value
"Modified: / 14.4.1998 / 18:47:47 / cg"
! !
!Number methodsFor:'coercing'!
coerce:aNumber
"return aNumber converted into receivers type"
^ self subclassResponsibility
!
generality
"return the generality value - see ArithmeticValue>>retry:coercing:"
^ 40
! !
!Number methodsFor:'converting'!
% aNumber
"Return a complex number with the receiver as the real part and
aNumber as the imaginary part"
^ Complex real:self imaginary:aNumber
"Modified: / 9.7.1998 / 10:18:12 / cg"
!
@ aNumber
"return a Point with the receiver as x-coordinate and the argument
as y-coordinate"
%{ /* NOCONTEXT */
/*
* I cannot tell if this special code is worth anything
*/
if (__CanDoQuickNew(sizeof(struct __point))) { /* OBJECT ALLOCATION */
OBJ newPoint;
int spc;
__qCheckedAlignedNew(newPoint, sizeof(struct __point));
__InstPtr(newPoint)->o_class = @global(Point);
__PointInstPtr(newPoint)->p_x = self;
__PointInstPtr(newPoint)->p_y = aNumber;
if (! __bothSmallInteger(self, aNumber)) {
spc = __qSpace(newPoint);
__STORE_SPC(newPoint, aNumber, spc);
__STORE_SPC(newPoint, self, spc);
}
RETURN ( newPoint );
}
%}
.
^ Point x:self y:aNumber
!
asComplex
"Return a complex number with the receiver as the real part and
zero as the imaginary part"
^ Complex fromReal:self
"Modified: / 9.7.1998 / 10:18:16 / cg"
!
asPoint
"return a new Point with the receiver as all coordinates;
often used to supply the same value in two dimensions, as with
symmetrical gridding or scaling."
%{ /* NOCONTEXT */
if (__CanDoQuickNew(sizeof(struct __point))) { /* OBJECT ALLOCATION */
OBJ newPoint;
__qCheckedAlignedNew(newPoint, sizeof(struct __point));
__InstPtr(newPoint)->o_class = @global(Point);
__PointInstPtr(newPoint)->p_x = self;
__PointInstPtr(newPoint)->p_y = self;
__STORE(newPoint, self);
RETURN ( newPoint );
}
%}.
^ Point x:self y:self
!
decodeAsLiteralArray
"given a literalEncoding in the receiver,
create & return the corresponding object.
The inverse operation to #literalArrayEncoding."
^ self
"Created: 25.2.1997 / 19:17:06 / cg"
"Modified: 25.2.1997 / 19:17:42 / cg"
!
degreesToRadians
"interpreting the receiver as radians, return the degrees"
^ (self * (Float pi)) / 180.0
!
literalArrayEncoding
"encode myself as an array literal, from which a copy of the receiver
can be reconstructed with #decodeAsLiteralArray."
^ self
"Modified: 1.9.1995 / 02:25:26 / claus"
"Modified: 22.4.1996 / 13:00:27 / cg"
!
radiansToDegrees
"interpreting the receiver as degrees, return the radians"
^ (self * 180.0) / (Float pi)
! !
!Number methodsFor:'intervals'!
to:stop
"return an interval from receiver up to the argument, incrementing by 1"
^ Interval from:self to:stop
!
to:stop by:step
"return an interval from receiver up to the argument, incrementing by step"
^ Interval from:self to:stop by:step
! !
!Number methodsFor:'iteration'!
timesRepeat:aBlock
"evaluate the argument, aBlock self times"
|count|
count := self.
[count > 0] whileTrue:[
aBlock value.
count := count - 1
]
!
to:stop by:incr do:aBlock
"For each element of the interval from the receiver up to the argument stop, incrementing
by step, evaluate aBlock passing the element as argument."
|tmp|
tmp := self.
(incr > 0) ifTrue:[
[tmp <= stop] whileTrue:[
aBlock value:tmp.
tmp := tmp+incr
]
] ifFalse:[
[tmp >= stop] whileTrue:[
aBlock value:tmp.
tmp := tmp+incr
]
]
!
to:stop by:incr doWithBreak:aBlock
"For each element of the interval from the receiver up to the argument stop, incrementing
by step, evaluate aBlock passing the element as argument.
Pass a break argument, to allow for premature exit of the loop."
|tmp break|
break := [^ self].
tmp := self.
(incr > 0) ifTrue:[
[tmp <= stop] whileTrue:[
aBlock value:tmp value:break.
tmp := tmp+incr
]
] ifFalse:[
[tmp >= stop] whileTrue:[
aBlock value:tmp value:break.
tmp := tmp+incr
]
]
"
1 to:100 by:5 doWithBreak:[:index :break |
Transcript showCR:index printString.
index > 50 ifTrue:[
break value
].
]
"
!
to:stop do:aBlock
"For each element of the interval from the receiver up to the argument stop,
evaluate aBlock, passing the number as argument."
|tmp|
tmp := self.
[tmp <= stop] whileTrue:[
aBlock value:tmp.
tmp := tmp+1
]
!
to:stop doWithBreak:aBlock
"For each element of the interval from the receiver up to the argument stop,
evaluate aBlock, passing the number as argument.
Pass a break argument, to allow for premature exit of the loop."
|tmp break|
break := [^ self].
tmp := self.
[tmp <= stop] whileTrue:[
aBlock value:tmp value:break.
tmp := tmp+1
]
"
1 to:10 doWithBreak:[:index :break |
Transcript showCR:index printString.
index > 5 ifTrue:[
break value
].
]
"
! !
!Number methodsFor:'mathematical functions'!
conjugated
"Return the complex conjugate of this Number."
^ self
"Modified: / 9.7.1998 / 10:17:31 / cg"
!
imaginary
"Return the imaginary part of this Number."
^ 0
"Modified: / 9.7.1998 / 10:17:24 / cg"
!
real
"Return the real part of this Number."
^ self
"Modified: / 9.7.1998 / 10:17:17 / cg"
! !
!Number methodsFor:'printing & storing'!
storeOn:aStream
"append a string for storing the receiver onto the argument,
aStream - since numbers are literals,they store as they print."
^ self printOn:aStream
!
storeString
"return a string for storing
- since numbers are literals, they store as they print."
^ self printString
! !
!Number methodsFor:'testing'!
isLiteral
"return true, if the receiver can be used as a literal
(i.e. can be used in constant arrays)"
^ true
!
isNumber
"return true, if the receiver is a kind of number"
^ true
!
isZero
"return true, if the receiver is zero"
^ self = 0
"Modified: 18.7.1996 / 12:40:49 / cg"
! !
!Number class methodsFor:'documentation'!
version
^ '$Header: /cvs/stx/stx/libbasic/Number.st,v 1.47 1998-08-19 10:54:40 tm Exp $'
! !