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
|
--- status: TODO
--- author(s):
--- notes:
document {
Key => {sortColumns, (sortColumns,Matrix)},
Headline => "permutation giving sort order",
Usage => "sortColumns m",
Inputs => {
"m" => "between free modules"
},
Outputs => {
List => {"of integers, representing the order
which places the columns in order"}
},
PARA{},
"See ", TO (sort,Matrix), " for the ordering used. The meanings of the
optional parameters is also the same.",
EXAMPLE {
"R = ZZ/32003[a..d,MonomialOrder=>Lex];",
"m = matrix{{a*d, b^2, b^100, b^50*d^50, c^2*d}}",
"p = sortColumns m",
"m_p"
},
EXAMPLE {
"p = sortColumns(m, DegreeOrder=>null, MonomialOrder=>Descending)",
"m_p"
},
EXAMPLE {
"R = ZZ/101[a..c];",
"f = matrix{{1,a,a^2,b^2,b,c,c^2,a*b,b*c,a*c}}",
"s = sortColumns f",
"f_s",
"s = sortColumns(f,DegreeOrder => Descending)",
"f_s"
},
SeeAlso => {sort},
Subnodes => {
TO [sortColumns, MonomialOrder],
TO [sortColumns, DegreeOrder],
},
}
document {
Key => [sortColumns, MonomialOrder],
Headline => "specify Ascending or Descending monomial order",
Usage => "sortColumns(...,MonomialOrder=>x)",
Inputs => {
"x" => Symbol => { "either ", TO "Ascending", " or ", TO "Descending"}
},
Consequences => {
{"After the degree order has been considered, sort the columns of
the matrix in Ascending or Descending monomial order"}
},
Caveat => {"This option only works for sorting columns of a matrix, not
the elements of a list"},
SeeAlso => {}
}
document {
Key => [sortColumns, DegreeOrder],
Headline => "specify Ascending, Descending, or null",
Usage => "sortColumns(...,DegreeOrder=>x)",
Inputs => {
"x" => Symbol => { "either ", TO "Ascending", ", ", TO "Descending", ", or ", TO null}
},
Consequences => {
{"If ", TT "x", " is not null, first order the columns of the matrix
in ascending or descending degree (depending on ", TT "x", "). If ",
TT "x", " is null, then only use the monomial order in the sort"}
},
Caveat => {"This option only works for sorting columns of a matrix, not
the elements of a list"},
SeeAlso => {}
}
|
