-
Notifications
You must be signed in to change notification settings - Fork 10
/
Copy pathbigfloat1.omcd
143 lines (143 loc) · 6.58 KB
/
bigfloat1.omcd
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
<OMOBJ xmlns:om="http://www.openmath.org/OpenMath"
xmlns="http://www.openmath.org/OpenMath">
<OMA>
<OMS cd="meta" name="CD"/>
<OMA>
<OMS cd="meta" name="CDComment"/>
<OMSTR>This document is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. The copyright holder grants you permission to redistribute this document freely as a verbatim copy. Furthermore, the copyright holder permits you to develop any derived work from this document provided that the following conditions are met. a) The derived work acknowledges the fact that it is derived from this document, and maintains a prominent reference in the work to the original source. b) The fact that the derived work is not the original OpenMath document is stated prominently in the derived work. Moreover if both this document and the derived work are Content Dictionaries then the derived work must include a different CDName element, chosen so that it cannot be confused with any works adopted by the OpenMath Society. In particular, if there is a Content Dictionary Group whose name is, for example, `math' containing Content Dictionaries named `math1', `math2' etc., then you should not name a derived Content Dictionary `mathN' where N is an integer. However you are free to name it `private_mathN' or some such. This is because the names `mathN' may be used by the OpenMath Society for future extensions. c) The derived work is distributed under terms that allow the compilation of derived works, but keep paragraphs a) and b) intact. The simplest way to do this is to distribute the derived work under the OpenMath license, but this is not a requirement. If you have questions about this license please contact the OpenMath society at http://www.openmath.org.</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="CDName"/>
<OMSTR>bigfloat1</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="CDBase"/>
<OMSTR>http://www.openmath.org/cd</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="CDURL"/>
<OMSTR>http://www.openmath.org/cd/bigfloat1.ocd</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="CDReviewDate"/>
<OMSTR>2006-03-30</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="CDDate"/>
<OMSTR>2004-03-30</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="CDVersion"/>
<OMSTR>3</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="CDRevision"/>
<OMSTR>1</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="CDComment"/>
<OMSTR>Author: OpenMath Consortium SourceURL: https://github.com/OpenMath/CDs</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="CDStatus"/>
<OMSTR>official</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="Description"/>
<OMSTR>This CD provides a common representation of "bigfloats" in a mantissa/ radix/exponent format. There is a further version, which provides an opportunity to state a precision (only required in a different radix). No operations are defined here -- see arith and alg.</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="CDComment"/>
<OMSTR>Written by James Davenport on 1999-07-13. bigfloatprec added 1999-07-21.</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="CDDefinition"/>
<OMA>
<OMS cd="meta" name="Name"/>
<OMSTR>bigfloat</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="Role"/>
<OMSTR>application</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="Description"/>
<OMSTR>The bigfloat constructor takes three arguments, a mantissa, a base and the exponent.</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="CMP"/>
<OMSTR>bigfloat(m,r,e)=m*r^e</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="FMP"/>
<OMA>
<OMS cd="relation1" name="eq"/>
<OMA>
<OMS cd="bigfloat1" name="bigfloat"/>
<OMV name="m"/>
<OMV name="r"/>
<OMV name="e"/>
</OMA>
<OMA>
<OMS cd="arith1" name="times"/>
<OMV name="m"/>
<OMA>
<OMS cd="arith1" name="power"/>
<OMV name="r"/>
<OMV name="e"/>
</OMA>
</OMA>
</OMA>
</OMA>
</OMA>
<OMA>
<OMS cd="meta" name="CDDefinition"/>
<OMA>
<OMS cd="meta" name="Name"/>
<OMSTR>bigfloatprec</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="Role"/>
<OMSTR>application</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="Description"/>
<OMSTR>The bigfloat "with precision specified in (another) radix" constructor. Takes 3 arguments, the first argument is a floating point number constructed with the bigfloat constructor, the second is the new radix, whilst the third specifies how many digits are significant.</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="CMP"/>
<OMSTR>bigfloatprec(f,r,p)=f However, if converted to radix r, only p digits in that radix are significant. This usually means that it originated in radix r, and has since (e.g. for display purposes) been converted into its current radix. For exposition, f = m*r^e.</OMSTR>
</OMA>
<OMA>
<OMS cd="meta" name="FMP"/>
<OMA>
<OMS cd="relation1" name="eq"/>
<OMA>
<OMS cd="bigfloat1" name="bigfloatprec"/>
<OMA>
<OMS cd="bigfloat1" name="bigfloat"/>
<OMV name="m"/>
<OMV name="r"/>
<OMV name="e"/>
</OMA>
<OMV name="r"/>
<OMA>
<OMS cd="rounding1" name="ceiling"/>
<OMA>
<OMS cd="transc1" name="log"/>
<OMV name="r"/>
<OMV name="m"/>
</OMA>
</OMA>
</OMA>
<OMA>
<OMS cd="bigfloat1" name="bigfloat"/>
<OMV name="m"/>
<OMV name="r"/>
<OMV name="e"/>
</OMA>
</OMA>
</OMA>
</OMA>
</OMA>
</OMOBJ>