4983
|
1 |
"{ Package: 'stx:libbasic2' }"
|
|
2 |
|
|
3 |
"{ NameSpace: Smalltalk }"
|
|
4 |
|
|
5 |
LimitedPrecisionReal variableByteSubclass:#QuadFloat
|
|
6 |
instanceVariableNames:''
|
|
7 |
classVariableNames:'QuadFloatZero QuadFloatOne Pi E Epsilon NaN PositiveInfinity
|
|
8 |
NegativeInfinity Halfpi HalfpiNegative'
|
|
9 |
poolDictionaries:''
|
|
10 |
category:'Magnitude-Numbers'
|
|
11 |
!
|
|
12 |
|
|
13 |
!QuadFloat class methodsFor:'documentation'!
|
|
14 |
|
|
15 |
documentation
|
|
16 |
"
|
|
17 |
QuadFloats represent rational numbers with limited precision
|
|
18 |
and are mapped to IEEE quadruple precision format (128bit).
|
|
19 |
If the underlying cpu supports them natively, the machine format (long double) is
|
|
20 |
used. Otherwise, a software emulation is done, which is much slower.
|
|
21 |
Thus only use them, if you really need the additional precision;
|
|
22 |
if not, use Float (which are doubles) or LongFloats which usually have IEEE extended precision (80bit).
|
|
23 |
|
|
24 |
QuadFloats give you definite 128 bit quadruple floats,
|
|
25 |
thus, code using quadFloats is guaranteed to be portable from one architecture to another.
|
|
26 |
|
|
27 |
Representation:
|
|
28 |
gcc-sparc:
|
|
29 |
128bit quadruple IEEE floats (16bytes);
|
|
30 |
112 bit mantissa,
|
|
31 |
16 bit exponent,
|
|
32 |
34 decimal digits (approx.)
|
|
33 |
|
|
34 |
Mixed mode arithmetic:
|
|
35 |
quadFloat op anyFloat -> longFloat
|
|
36 |
longFloat op complex -> complex
|
|
37 |
|
|
38 |
Range and precision of storage formats: see LimitedPrecisionReal >> documentation
|
|
39 |
|
|
40 |
[author:]
|
|
41 |
Claus Gittinger
|
|
42 |
|
|
43 |
[see also:]
|
|
44 |
Number
|
|
45 |
Float ShortFloat LongFloat Fraction FixedPoint Integer Complex
|
|
46 |
FloatArray DoubleArray
|
|
47 |
https://en.wikipedia.org/wiki/Extended_precision
|
|
48 |
"
|
|
49 |
! !
|
|
50 |
|
|
51 |
!QuadFloat class methodsFor:'instance creation'!
|
|
52 |
|
|
53 |
basicNew
|
|
54 |
"return a new quadFloat - here we return 0.0
|
|
55 |
- QuadFloats are usually NOT created this way ...
|
|
56 |
Its implemented here to allow things like binary store & load
|
|
57 |
of quadFloats.
|
|
58 |
(but it is not a good idea to store the bits of a float - the reader might have a
|
|
59 |
totally different representation - so floats should be
|
|
60 |
binary stored in a device independent format)."
|
|
61 |
|
|
62 |
%{ /* NOCONTEXT */
|
|
63 |
#ifndef __SCHTEAM__
|
|
64 |
OBJ newFloat;
|
|
65 |
if (sizeof(long double) == sizeof(quadfloat)) {
|
|
66 |
__qMKLFLOAT(newFloat, 0.0); /* OBJECT ALLOCATION */
|
|
67 |
} else {
|
|
68 |
__qMKQFLOAT(newFloat, 0.0); /* OBJECT ALLOCATION */
|
|
69 |
}
|
|
70 |
RETURN (newFloat);
|
|
71 |
#endif /* not SCHTEAM */
|
|
72 |
%}
|
|
73 |
|
|
74 |
"Created: / 06-06-2019 / 17:18:58 / Claus Gittinger"
|
|
75 |
!
|
|
76 |
|
|
77 |
fromFloat:aFloat
|
|
78 |
"return a new quadFloat, given a float value"
|
|
79 |
|
|
80 |
%{ /* NOCONTEXT */
|
|
81 |
#ifndef __SCHTEAM__
|
|
82 |
OBJ newFloat;
|
|
83 |
float128 f;
|
|
84 |
|
|
85 |
if (__isFloatLike(aFloat)) {
|
|
86 |
float f = __floatVal(aFloat);
|
|
87 |
float128 qf = (LONGFLOAT)f;
|
|
88 |
__qMKQFLOAT(newFloat, lf); /* OBJECT ALLOCATION */
|
|
89 |
RETURN (newFloat);
|
|
90 |
}
|
|
91 |
#endif
|
|
92 |
%}.
|
|
93 |
self error:'invalid argument'
|
|
94 |
|
|
95 |
"
|
|
96 |
QuadFloat fromFloat:123.0
|
|
97 |
123.0 asQuadFloat
|
|
98 |
123 asQuadFloat
|
|
99 |
"
|
|
100 |
|
|
101 |
"Created: / 06-06-2019 / 18:01:03 / Claus Gittinger"
|
|
102 |
! !
|
|
103 |
|
|
104 |
!QuadFloat class methodsFor:'coercing & converting'!
|
|
105 |
|
|
106 |
coerce:aNumber
|
|
107 |
"convert the argument aNumber into an instance of the receiver's class and return it."
|
|
108 |
|
|
109 |
^ aNumber asQuadFloat.
|
|
110 |
|
|
111 |
"Created: / 06-06-2019 / 16:51:01 / Claus Gittinger"
|
|
112 |
! !
|
|
113 |
|
|
114 |
!QuadFloat class methodsFor:'constants'!
|
|
115 |
|
|
116 |
NaN
|
|
117 |
"return a shortFloat which represents not-a-Number (i.e. an invalid number)"
|
|
118 |
|
|
119 |
NaN isNil ifTrue:[
|
|
120 |
NaN := super NaN
|
|
121 |
].
|
|
122 |
^ NaN
|
|
123 |
|
|
124 |
"
|
|
125 |
self NaN
|
|
126 |
"
|
|
127 |
|
|
128 |
"Created: / 06-06-2019 / 16:56:09 / Claus Gittinger"
|
|
129 |
!
|
|
130 |
|
|
131 |
e
|
|
132 |
"return the constant e as quadFloat"
|
|
133 |
|
|
134 |
E isNil ifTrue:[
|
|
135 |
"/ eDigits has enough digits for 128bit IEEE quads
|
|
136 |
"/ do not use as a literal constant here - we cannot depend on the underlying C-compiler here...
|
|
137 |
E := self readFrom:(Number eDigits)
|
|
138 |
].
|
|
139 |
^ E
|
|
140 |
|
|
141 |
"Created: / 06-06-2019 / 17:01:54 / Claus Gittinger"
|
|
142 |
!
|
|
143 |
|
|
144 |
pi
|
|
145 |
"return the constant pi as quadFloat"
|
|
146 |
|
|
147 |
Pi isNil ifTrue:[
|
|
148 |
"/ piDigits has enough digits for 128bit IEEE quads
|
|
149 |
"/ do not use as a literal constant here - we cannot depend on the underlying C-compiler here...
|
|
150 |
Pi := self readFrom:(Number piDigits)
|
|
151 |
].
|
|
152 |
^ Pi
|
|
153 |
|
|
154 |
"Created: / 06-06-2019 / 17:09:51 / Claus Gittinger"
|
|
155 |
! !
|
|
156 |
|
|
157 |
!QuadFloat class methodsFor:'documentation'!
|
|
158 |
|
|
159 |
version_CVS
|
|
160 |
^ '$Header$'
|
|
161 |
! !
|
|
162 |
|