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dominant weights

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This commit is contained in:
Florian Stecker 2019-01-03 20:15:36 +01:00
parent d3336bab00
commit 69d975bac9
2 changed files with 77 additions and 2 deletions
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10
Makefile
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@ -7,7 +7,7 @@ SPECIAL_OPTIONS=-O3 -flto -funroll-loops -Winline
OPTIONS=-m64 -march=native -mtune=native -std=gnu99 -D_GNU_SOURCE $(SPECIAL_OPTIONS)
NAME=enumerate-balanced-ideals
all: enumerate graph D2n
all: enumerate graph D2n dominant_weights
$(NAME).tar.bz2: $(NAME) $(HEADERS) enumerate.c weyl.c thickenings.c
tar cjhf $(NAME).tar.bz2 $(NAME)/enumerate.c $(NAME)/weyl.c $(NAME)/thickenings.c $(NAME)/weyl.h $(NAME)/thickenings.h $(NAME)/queue.h $(NAME)/bitvec.h $(NAME)/Makefile $(NAME)/graph.c
@ -24,6 +24,9 @@ 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
enumerate.o: enumerate.c $(HEADERS)
gcc $(OPTIONS) -c enumerate.c
@ -39,5 +42,8 @@ weyl.o: weyl.c $(HEADERS)
graph.o: graph.c $(HEADERS)
gcc $(OPTIONS) -c graph.c
dominant_weights.o: dominant_weights.c $(HEADERS)
gcc $(OPTIONS) -c dominant_weights.c
clean:
rm -f enumerate graph D2n thickenings.o weyl.o enumerate.o graph.o D2n.o $(NAME) $(NAME).tar.bz2
rm -f enumerate graph D2n dominant_weights thickenings.o weyl.o enumerate.o graph.o D2n.o dominant_weights.o $(NAME) $(NAME).tar.bz2

69
dominant_weights.c Normal file
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@ -0,0 +1,69 @@
#include <stdio.h>
#include <string.h>
#include <malloc.h>
#include "weyl.h"
static char* alphabetize(weylgroup_element_t *e, char *str)
{
if(e->wordlength == 0)
sprintf(str, "1");
else {
for(int j = 0; j < e->wordlength; j++)
str[j] = e->word[j] + 'a';
str[e->wordlength] = 0;
}
return str;
}
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];
}
int main(int argc, char *argv[])
{
semisimple_type_t type;
simple_type_t simple;
doublequotient_t *dq;
double *vector;
char buf[1000];
type.n = 1;
type.factors = &simple;
simple.series = 'A';
simple.rank = 3;
dq = weyl_generate_bruhat(type, 0, 0);
int order = weyl_order(type);
int rank = weyl_rank(type);
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;
}
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]));
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);
}
weyl_destroy_bruhat(dq);
free(vector);
return 0;
}