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
|
#include "parser.h"
#include "printer.h"
#include "lp.h"
#include "gfanapplication.h"
#include "polyhedralcone.h"
#include "polyhedralfan.h"
#include "polymakefile.h"
#include "tropicalmap.h"
class TropicalImageApplication : public GFanApplication
{
StringOption inputOption;
public:
bool includeInDefaultInstallation()
{
return false;
}
const char *helpText()
{
return "This program computes the image of the tropicalization of a polynomial map. The output is a polyhedral fan with support equal to the image. The input is the polynomial ring, followed by a list of coordinate polynomials. A domain different from $R^n$ can be chosen with the option -i.\n";
}
TropicalImageApplication():
inputOption("-i","Specify the name of the file containing a polyhedral fan whose support is the domain of the function.",0)
{
registerOptions();
}
const char *name()
{
return "_tropicalimage";
}
int main()
{
PolynomialSet g=FileParser(Stdin).parsePolynomialSetWithRing();
int n=g.getRing().getNumberOfVariables();
PolyhedralFan domain=PolyhedralFan::fullSpace(n);
if(inputOption.getValue())
{
domain=PolyhedralFan::readFan(inputOption.getValue());
}
PolyhedralFan f=imageOfTropicalMap(g,domain);
AsciiPrinter P(Stdout);
f.printWithIndices(&P,FPF_default|FPF_multiplicities/*|FPF_values*/);
return 0;
}
};
static TropicalImageApplication theApplication;
|
