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enumerate-balanced-ideals
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compute weights in A3

This commit is contained in:
Florian Stecker 2019-01-08 17:01:24 +01:00
parent 69d975bac9
commit 7fcb9f1056
2 changed files with 68 additions and 12 deletions
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4
Makefile
View File

@ -24,8 +24,8 @@ graph: graph.o weyl.o
D2n: D2n.o weyl.o thickenings.o
gcc $(OPTIONS) -o D2n D2n.o weyl.o thickenings.o
dominant_weights: dominant_weights.o weyl.o
gcc $(OPTIONS) -o dominant_weights dominant_weights.o weyl.o
dominant_weights: dominant_weights.o weyl.o thickenings.o
gcc $(OPTIONS) -o dominant_weights dominant_weights.o weyl.o thickenings.o -lcdd
enumerate.o: enumerate.c $(HEADERS)
gcc $(OPTIONS) -c enumerate.c

76
dominant_weights.c
View File

@ -1,8 +1,20 @@
#include <stdio.h>
#include <string.h>
#include <malloc.h>
#include <setoper.h>
#include <cdd.h>
#include "weyl.h"
#include "thickenings.h"
doublequotient_t *dq;
double *vector;
char buf[1000];
typedef struct {
dd_MatrixPtr M;
dd_LPSolutionPtr lps;
} info_t;
static char* alphabetize(weylgroup_element_t *e, char *str)
{
@ -17,23 +29,59 @@ static char* alphabetize(weylgroup_element_t *e, char *str)
return str;
}
static void balanced_thickening_callback(const bitvec_t *pos, int size, const enumeration_info_t *ei)
{
int bit, funcbit, sign;
dd_rowset ImL, Lbasis;
dd_ErrorType err = dd_NoError;
info_t *info = (info_t*)ei->callback_data;
for(int i = 0; i < size; i++) {
bit = i < size/2 ? bv_get_bit(pos, i) : !bv_get_bit(pos, size - 1 - i);
sign = bit ? 1 : -1;
info->M->matrix[i][0][0] = 0.0;
info->M->matrix[i][1][0] = sign*vector[3*i];
info->M->matrix[i][2][0] = sign*vector[3*i+1];
info->M->matrix[i][3][0] = sign*vector[3*i+2];
// printf("0 %.2f %.2f %.2f %d %d\n", sign*vector[3*i], sign*vector[3*i+1], sign*vector[3*i+2], bit, funcbit);
}
dd_FindRelativeInterior(info->M, &ImL, &Lbasis, &(info->lps), &err);
if(set_card(Lbasis) != 0)
printf("codim = %ld\n", set_card(Lbasis));
else
printf("weight = (%.4f, %.4f, %.4f)\n", *info->lps->sol[0], *info->lps->sol[1], *info->lps->sol[2]);
dd_FreeLPSolution(info->lps);
printf("\n");
}
static int apply_reflection(double *in, double *out, int rank, int reflection)
{
memcpy(out, in, rank*sizeof(double));
/*
out[reflection] *= -1;
if(reflection != 0)
out[reflection-1] += in[reflection];
if(reflection != rank-1)
out[reflection+1] += in[reflection];
*/
out[reflection] *= -1;
if(reflection != 0)
out[reflection] += in[reflection-1];
if(reflection != rank-1)
out[reflection] += in[reflection+1];
}
int main(int argc, char *argv[])
{
semisimple_type_t type;
simple_type_t simple;
doublequotient_t *dq;
double *vector;
char buf[1000];
info_t info;
type.n = 1;
type.factors = &simple;
@ -47,21 +95,29 @@ int main(int argc, char *argv[])
weylgroup_element_t *group = dq->group;
vector = malloc(weyl_order(type)*weyl_rank(type)*sizeof(double));
for(int i = 0; i < rank; i++) {
vector[i] = 1.0;
}
vector[0] = 3;
vector[1] = 4;
vector[2] = 3;
for(int i = 0; i < order; i++) {
printf("%s %.2f %.2f %.2f\n", alphabetize(&group[i], buf),
1.0/4.0*(3*vector[3*i] + 2*vector[3*i+1] + 1*vector[3*i+2]),
1.0/4.0*(2*vector[3*i] + 4*vector[3*i+1] + 2*vector[3*i+2]),
1.0/4.0*(1*vector[3*i] + 2*vector[3*i+1] + 3*vector[3*i+2]));
printf("%s %.2f %.2f %.2f\n", alphabetize(&group[i], buf), vector[3*i], vector[3*i+1], vector[3*i+2]);
for(int j = 0; j < rank; j++)
if(group[i].left[j]->wordlength > group[i].wordlength)
apply_reflection(&vector[3*i], &vector[3*group[i].left[j]->index], rank, j);
}
printf("\n");
dd_set_global_constants();
info.M = dd_CreateMatrix(24, 4);
info.M->representation = dd_Inequality;
info.M->numbtype = dd_Real;
info.M->objective = dd_LPmax;
enumerate_balanced_thickenings(dq, balanced_thickening_callback, &info);
dd_FreeMatrix(info.M);
weyl_destroy_bruhat(dq);
free(vector);