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projection.c
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projection.c
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#include <stdio.h>
#include <stdlib.h>
#include <assert.h>
#include <string.h>
#include <gmp.h>
#include "./../Mex/lrslib/lrslib.h"
#include "GMPmat.h"
#include "translation.h"
#include "projection.h"
size_t pN = 20;
struct GMPmat *projection(struct GMPmat *inp, int d)
{
lrs_dic *Pv, *Ph; /* structure for holding current dictionary and indices */
lrs_dat *Qv, *Qh; /* structure for holding static problem data */
lrs_mp_vector output; /* one line of output:ray,vertex,facet,linearity */
lrs_mp_matrix Lin; /* holds input linearities if any are found */
size_t i, j, cols, rows;
long col; /* output column index for dictionary */
/* Global initialization - done once */
assert( my_lrs_init () == 0 );
Qv = lrs_alloc_dat ("LRS globals");
assert( Qv!= NULL );
Qv->m = GMPmat_Rows(inp);
Qv->n = GMPmat_Cols(inp);
output = lrs_alloc_mp_vector (Qv->n);
lrs_mp_vector num, den;
num = lrs_alloc_mp_vector(GMPmat_Cols(inp));
den = lrs_alloc_mp_vector(GMPmat_Cols(inp));
Pv = lrs_alloc_dic (Qv); /* allocate and initialize lrs_dic */
assert( Pv != NULL );
struct GMPmat *Helper;
Helper = GMPmat_create(0, GMPmat_Cols(inp), 1);
mpq_t *curRow;
curRow = calloc(GMPmat_Cols(inp), sizeof(mpq_t));
assert( curRow != NULL );
mpq_row_init(curRow, GMPmat_Cols(inp));
for (i = 1; i <= GMPmat_Rows(inp); ++i)
{
GMPmat_getRow(num, den, inp, i-1);
lrs_set_row_mp(Pv,Qv,i,num,den,GE);
}
assert( lrs_getfirstbasis (&Pv, Qv, &Lin, TRUE) );
for (col = 0L; col < Qv->nredundcol; col++) /* print linearity space */
lrs_printoutput (Qv, Lin[col]);
do
{
for (col = 0L; col <= Pv->d; col++)
if (lrs_getsolution (Pv, Qv, output, col)) {
mpz_to_mpq(curRow, output, GMPmat_Cols(Helper));
Helper = GMPmat_appendRow(Helper, curRow);
GMPmal_everyNrows(Helper, pN, "vertices/rays");
}
}
while (lrs_getnextbasis (&Pv, Qv, FALSE));
mpq_row_clean(curRow, GMPmat_Cols(Helper));
lrs_clear_mp_vector (output, Qv->n);
lrs_clear_mp_vector (num, Qv->n);
lrs_clear_mp_vector (den, Qv->n);
lrs_free_dic (Pv,Qv); /* deallocate lrs_dic */
lrs_free_dat (Qv); /* deallocate lrs_dat */
Helper = reducevertices(Helper);
Qh = lrs_alloc_dat ("LRS globals");
assert( Qh != NULL );
Qh->m = GMPmat_Rows(Helper);
Qh->n = GMPmat_Cols(Helper) - d;
Qh->hull = TRUE; /* convex hull problem: facet enumeration */
Qh->polytope = TRUE; /* input is a polytope */
output = lrs_alloc_mp_vector (Qh->n);
num = lrs_alloc_mp_vector (Qh->n);
den = lrs_alloc_mp_vector (Qh->n);
Ph = lrs_alloc_dic (Qh);
assert( Ph != NULL );
struct GMPmat *retVal;
retVal = GMPmat_create(0, Qh->n, 0);
rows = GMPmat_Rows (Helper);
cols = GMPmat_Cols (retVal);
curRow = calloc(cols, sizeof(mpq_t));
assert( curRow != NULL );
mpq_row_init(curRow, cols);
mpq_t curVal;
mpq_init(curVal);
for (i = 0; i < rows; ++i)
{
for (j = 0; j < cols; ++j)
{
GMPmat_getValue (curVal, Helper, i, j);
mpz_set (num[j], mpq_numref(curVal));
mpz_set (den[j], mpq_denref(curVal));
}
lrs_set_row_mp (Ph, Qh, i+1 ,num, den, GE);
}
mpq_clear(curVal);
assert( lrs_getfirstbasis (&Ph, Qh, &Lin, TRUE) );
for (col = 0L; col < Qh->nredundcol; col++) /* print linearity space */
lrs_printoutput (Qh, Lin[col]);
do
{
for (col = 0L; col <= Ph->d; col++)
if (lrs_getsolution (Ph, Qh, output, col)){
mpz_to_mpq(curRow, output, GMPmat_Cols(retVal));
retVal = GMPmat_appendRow(retVal, curRow);
GMPmal_everyNrows(retVal, pN, "inequalities");
}
}
while (lrs_getnextbasis (&Ph, Qh, FALSE));
GMPmat_destroy(Helper);
mpq_row_clean(curRow, GMPmat_Cols(retVal));
lrs_clear_mp_vector (output, Qh->n);
lrs_clear_mp_vector (num, Qh->n);
lrs_clear_mp_vector (den, Qh->n);
lrs_free_dic (Ph,Qh);
lrs_free_dat (Qh);
// lrs_close ("lrsTrial:");
printf ("\n");
GMPmat_destroy(inp);
return retVal;
}
struct GMPmat *H2V(struct GMPmat *inp)
{
lrs_dic *Pv, *Ph; /* structure for holding current dictionary and indices */
lrs_dat *Qv, *Qh; /* structure for holding static problem data */
lrs_mp_vector output; /* one line of output:ray,vertex,facet,linearity */
lrs_mp_matrix Lin; /* holds input linearities if any are found */
size_t i, j, cols, rows;
long col; /* output column index for dictionary */
/* Global initialization - done once */
assert( my_lrs_init () == 0 );
Qv = lrs_alloc_dat ("LRS globals");
assert( Qv!= NULL );
Qv->m = GMPmat_Rows(inp);
Qv->n = GMPmat_Cols(inp);
output = lrs_alloc_mp_vector (Qv->n);
lrs_mp_vector num, den;
num = lrs_alloc_mp_vector(GMPmat_Cols(inp));
den = lrs_alloc_mp_vector(GMPmat_Cols(inp));
Pv = lrs_alloc_dic (Qv); /* allocate and initialize lrs_dic */
assert( Pv != NULL );
struct GMPmat *Helper;
Helper = GMPmat_create(0, GMPmat_Cols(inp), 1);
mpq_t *curRow;
curRow = calloc(GMPmat_Cols(inp), sizeof(mpq_t));
assert( curRow != NULL );
mpq_row_init(curRow, GMPmat_Cols(inp));
for (i = 1; i <= GMPmat_Rows(inp); ++i)
{
GMPmat_getRow(num, den, inp, i-1);
lrs_set_row_mp(Pv,Qv,i,num,den,GE);
}
assert( lrs_getfirstbasis (&Pv, Qv, &Lin, TRUE) );
for (col = 0L; col < Qv->nredundcol; col++) /* print linearity space */
lrs_printoutput (Qv, Lin[col]);
do
{
for (col = 0L; col <= Pv->d; col++)
if (lrs_getsolution (Pv, Qv, output, col)) {
mpz_to_mpq(curRow, output, GMPmat_Cols(Helper));
Helper = GMPmat_appendRow(Helper, curRow);
GMPmal_everyNrows(Helper, pN, "vertices/rays");
}
}
while (lrs_getnextbasis (&Pv, Qv, FALSE));
mpq_row_clean(curRow, GMPmat_Cols(Helper));
lrs_clear_mp_vector (output, Qv->n);
lrs_clear_mp_vector (num, Qv->n);
lrs_clear_mp_vector (den, Qv->n);
lrs_free_dic (Pv,Qv); /* deallocate lrs_dic */
lrs_free_dat (Qv); /* deallocate lrs_dat */
// lrs_close ("lrsTrial:");
GMPmat_destroy(inp);
return Helper;
}
struct GMPmat *V2H(struct GMPmat *inp) /* This function is untested */
{
lrs_dic *P;
lrs_dat *Q;
lrs_mp_vector output;
lrs_mp_matrix Lin;
long i;
long col;
assert( my_lrs_init () == 0 );
Q = lrs_alloc_dat ("LRS globals");
assert ( Q != NULL );
Q->m = GMPmat_Rows(inp);
Q->n = GMPmat_Cols(inp);
Q->hull = TRUE;
Q->polytope = TRUE;
output = lrs_alloc_mp_vector (Q->n);
lrs_mp_vector num, den;
num = lrs_alloc_mp_vector(GMPmat_Cols(inp));
den = lrs_alloc_mp_vector(GMPmat_Cols(inp));
P = lrs_alloc_dic (Q);
assert ( P != NULL );
struct GMPmat *retMat;
retMat = GMPmat_create(0, GMPmat_Cols(inp), 1);
mpq_t *curRow;
curRow = calloc(GMPmat_Cols(inp), sizeof(mpq_t));
assert( curRow != NULL );
mpq_row_init(curRow, GMPmat_Cols(inp));
for (i = 1; i <= GMPmat_Rows(inp); ++i)
{
GMPmat_getRow(num, den, inp, i-1);
lrs_set_row_mp(P ,Q ,i ,num ,den , GE);
}
assert ( lrs_getfirstbasis (&P, Q, &Lin, TRUE) );
for (col = 0L; col < Q->nredundcol; col++)
lrs_printoutput (Q, Lin[col]);
do
{
for (col = 0; col <= P->d; col++)
if (lrs_getsolution (P, Q, output, col)){
mpz_to_mpq(curRow, output, GMPmat_Cols(retMat));
retMat = GMPmat_appendRow(retMat, curRow);
GMPmal_everyNrows(retMat, pN, "inequalities");
}
}
while (lrs_getnextbasis (&P, Q, FALSE));
mpq_row_clean( curRow, GMPmat_Cols(retMat) );
lrs_clear_mp_vector ( output, Q->n);
lrs_clear_mp_vector ( num, Q->n);
lrs_clear_mp_vector ( den, Q->n);
lrs_free_dic ( P , Q);
lrs_free_dat ( Q );
GMPmat_destroy(inp);
return retMat;
}
struct GMPmat *reducemat(struct GMPmat *inp)
{
lrs_dic *P;
lrs_dat *Q;
lrs_mp_vector output;
lrs_mp_matrix Lin;
long i;
long col;
size_t m = GMPmat_Rows(inp);
size_t *redRows;
redRows = malloc( m*sizeof(*redRows) );
assert( redRows != NULL );
assert( my_lrs_init () == 0 );
Q = lrs_alloc_dat ("LRS globals");
assert ( Q != NULL );
Q->m = m;
Q->n = GMPmat_Cols(inp);
output = lrs_alloc_mp_vector (Q->n);
lrs_mp_vector num, den;
num = lrs_alloc_mp_vector(GMPmat_Cols(inp));
den = lrs_alloc_mp_vector(GMPmat_Cols(inp));
P = lrs_alloc_dic (Q);
assert ( P != NULL );
struct GMPmat *retMat;
retMat = GMPmat_create(0, GMPmat_Cols(inp), 1);
for (i = 1; i <= m; ++i)
{
GMPmat_getRow(num, den, inp, i-1);
lrs_set_row_mp(P ,Q ,i ,num ,den , GE);
}
assert ( lrs_getfirstbasis (&P, Q, &Lin, TRUE) );
size_t lastdv = Q->lastdv;
size_t d = P->d;
size_t ineq;
m = P->m_A;
for (i = lastdv + 1; i <= m + d; ++i)
{
ineq = Q->inequality[i - lastdv] - 1;
if (!checkindex(P, Q, i))
{
retMat = GMPmat_appendRow(retMat, mpq_row_extract(inp, ineq));
GMPmal_everyNrows(retMat, pN, "irredundant inequalities");
}
}
lrs_clear_mp_vector ( output, Q->n);
lrs_free_dic ( P , Q);
lrs_free_dat ( Q );
GMPmat_destroy(inp);
return retMat;
}
struct GMPmat *reducevertices(struct GMPmat *inp)
{
lrs_dic *P;
lrs_dat *Q;
lrs_mp_vector output;
lrs_mp_matrix Lin;
long i;
long col;
size_t m = GMPmat_Rows(inp);
size_t *redRows;
redRows = malloc( m*sizeof(*redRows) );
assert( redRows != NULL );
assert( my_lrs_init () == 0 );
Q = lrs_alloc_dat ("LRS globals");
assert ( Q != NULL );
Q->m = m;
Q->n = GMPmat_Cols(inp);
Q->hull = TRUE;
Q->polytope = TRUE;
output = lrs_alloc_mp_vector (Q->n);
lrs_mp_vector num, den;
num = lrs_alloc_mp_vector(GMPmat_Cols(inp));
den = lrs_alloc_mp_vector(GMPmat_Cols(inp));
P = lrs_alloc_dic (Q);
assert ( P != NULL );
struct GMPmat *retMat;
retMat = GMPmat_create(0, GMPmat_Cols(inp), 1);
for (i = 1; i <= m; ++i)
{
GMPmat_getRow(num, den, inp, i-1);
lrs_set_row_mp(P ,Q ,i ,num ,den , GE);
}
assert ( lrs_getfirstbasis (&P, Q, &Lin, TRUE) );
size_t lastdv = Q->lastdv;
size_t d = P->d;
size_t ineq;
m = P->m_A;
for (i = lastdv + 1; i <= m + d; ++i)
{
ineq = Q->inequality[i - lastdv] - 1;
if (!checkindex(P, Q, i))
{
retMat = GMPmat_appendRow(retMat, mpq_row_extract(inp, ineq));
GMPmal_everyNrows(retMat, pN, "irredundant vertices/rays");
}
}
lrs_clear_mp_vector ( output, Q->n);
lrs_free_dic ( P , Q);
lrs_free_dat ( Q );
GMPmat_destroy(inp);
return retMat;
}