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/* pps.c */
/* plethysm p_I[S_J] in the basis of schur function */
#include "def.h"
#include "macro.h"
INT pps_ende()
{
INT erg = OK;
ENDR("pps_ende");
}
extern INT pps_integer_partition_();
extern INT pps_integer_hashtable_();
extern INT pps_integer_integer_();
extern INT pps___();
extern INT tsm___faktor();
INT pps_null__(b,c,f) OP b,c,f;
{
INT mxx_null__();
return mxx_null__(b,c,f);
}
INT pps_integer__(a,b,c,f) OP a,b,c; OP f;
/* AK 051201 */
{
INT erg = OK;
OP ff,p,z;
INT i;
INT mms_hashtable__(), tsm___faktor();
CTO(INTEGER,"pps_integer__(1)",a);
CTTTTO(INTEGER,HASHTABLE,PARTITION,SCHUR,"pps_integer__(2)",b);
CTTO(HASHTABLE,SCHUR,"pps_integer__(3)",c);
SYMCHECK((S_I_I(a) < 0),"pps_integer__:integer < 0");
if (S_I_I(a) == 0)
{
erg += pps_null__(b,c,f);
goto ende;
}
ff = CALLOCOBJECT();
erg += init_hashtable(ff);
tsm___faktor(b,ff,f);
FORALL(z,ff,{
for (i=0;i<S_PA_LI(S_MO_S(z));i++)
M_I_I(S_I_I(a)*S_PA_II(S_MO_S(z),i), S_PA_I(S_MO_S(z),i));
});
p = CALLOCOBJECT();
first_partition(cons_null,p);
mms_hashtable__(ff,p,c,cons_eins);
FREEALL(p);
FREEALL(ff);
ende:
CTTO(HASHTABLE,SCHUR,"pps_integer__(3-end)",c);
ENDR("pps_integer__");
}
INT pps_null_partition_();
INT pps_partition__(a,b,c,f) OP a,b,c; OP f;
{
INT erg = OK;
CTO(PARTITION,"pps_partition__(1)",a);
CTTTO(HASHTABLE,SCHUR,PARTITION,"pps_partition__(2)",b);
CTTO(HASHTABLE,SCHUR,"pps_partition__(3)",c);
if (S_PA_LI(a) == 0) {
erg += pps_null__(b,c,f);
}
else if (S_PA_LI(a) == 1) {
erg += pps_integer__(S_PA_I(a,0),b,c,f);
}
else{
INT mss_hashtable_hashtable_();
INT p_splitpart();
erg += p_splitpart(a,b,c,f,pps_partition__,
mss_hashtable_hashtable_);
}
CTTO(HASHTABLE,SCHUR,"pps_partition__(3-end)",c);
ENDR("pps_partition__");
}
INT pps_powsym__(a,b,c,f) OP a,b,c,f;
/* AK 051201 */
/* c += p_a [s_b] \times f */
{
INT erg = OK;
CTO(POWSYM,"pps_powsym__(1)",a);
CTTTO(HASHTABLE,PARTITION,SCHUR,"pps_powsym__(2)",b);
CTTO(HASHTABLE,SCHUR,"pps_powsym__(3)",c);
M_FORALL_MONOMIALS_IN_A(a,b,c,f,pps_partition__);
ENDR("pps_powsym__");
}
INT pps_hashtable__(a,b,c,f) OP a,b,c,f;
/* AK 051201 */
/* c += p_a [s_b] \times f */
{
INT erg = OK;
CTO(HASHTABLE,"pps_hashtable__(1)",a);
CTTTO(HASHTABLE,PARTITION,SCHUR,"pps_hashtable__(2)",b);
CTTO(HASHTABLE,SCHUR,"pps_hashtable__(3)",c);
M_FORALL_MONOMIALS_IN_A(a,b,c,f,pps_partition__);
ENDR("pps_hashtable__");
}
INT pps_hashtable_hashtable_(a,b,c,f) OP a,b,c,f;
/* AK 051201 */
/* c += p_a [s_b] \times f */
{
INT erg = OK;
CTO(HASHTABLE,"pps_hashtable_hashtable_(1)",a);
CTO(HASHTABLE,"pps_hashtable_hashtable_(2)",b);
CTTO(HASHTABLE,SCHUR,"pps_hashtable_hashtable_(3)",c);
NYI("pps_hashtable_hashtable_");
ENDR("pps_hashtable_hashtable_");
}
INT pps_null_partition_(b,c,f) OP b,c,f;
/* AK 061201 */
{
INT erg = OK;
CTO(PARTITION,"pps_null_partition(1)",b);
CTTO(SCHUR,HASHTABLE,"pps_null_partition(2)",c);
_NULL_PARTITION_(b,c,f);
ENDR("pps_null_partition");
}
INT plet_powsym_schur(a,b,c) OP a,b,c;
/* AK 051201
*/
{
INT erg = OK;
INT t=0; /* is 1 if transfer HASHTABLE->POWSYM necessary */
CTTTTO(HASHTABLE,INTEGER,PARTITION,POWSYM,"plet_powsym_schur(1)",a);
CTTTTO(INTEGER,HASHTABLE,PARTITION,SCHUR,"plet_powsym_schur(2)",b);
CTTTO(EMPTY,HASHTABLE,SCHUR,"plet_powsym_schur(3)",c);
if (S_O_K(c) == EMPTY)
{ t=1; init_hashtable(c); }
pps___(a,b,c,cons_eins);
if (t==1) t_HASHTABLE_SCHUR(c,c);
ENDR("plet_powsym_schur");
}
INT pps___(a,b,c,f) OP a,b,c,f;
{
INT erg = OK;
CTTTTO(HASHTABLE,INTEGER,PARTITION,POWSYM,"pps___(1)",a);
CTTTTO(INTEGER,HASHTABLE,PARTITION,SCHUR,"pps___(2)",b);
CTTO(HASHTABLE,SCHUR,"pps___(3)",c);
if (S_O_K(b) == INTEGER) /* AK 090703 */
{
OP d = CALLOCOBJECT();
erg += m_i_pa(b,d);
erg += pps___(a,d,c,f);
FREEALL(d);
}
else if (S_O_K(a) == INTEGER)
{
erg += pps_integer__(a,b,c,f);
}
else if (S_O_K(a) == PARTITION)
{
erg += pps_partition__(a,b,c,f);
}
else if (S_O_K(a) == POWSYM)
{
erg += pps_powsym__(a,b,c,f);
}
else /* if (S_O_K(a) == HASHTABLE) */
{
erg += pps_hashtable__(a,b,c,f);
}
ENDR("pps___");
}
INT plet_powsym_schur_via_ppm(a,b,c) OP a,b,c;
/* AK 061201
*/
{
INT t=0,erg = OK;
CTTTTO(HASHTABLE,INTEGER,PARTITION,POWSYM,"plet_powsym_schur(1)",a);
CTTTTO(INTEGER,HASHTABLE,PARTITION,SCHUR,"plet_powsym_schur(2)",b);
CTTTO(EMPTY,HASHTABLE,SCHUR,"plet_powsym_schur(3)",c);
/*
if (S_O_K(c) == EMPTY)
{ t=1; init_hashtable(c); }
pse___(a,b,c,cons_eins);
*/
{
/* via ppm with change of basis */
OP f = CALLOCOBJECT();
OP d = CALLOCOBJECT();
erg += init_hashtable(f);
erg += init_hashtable(d);
erg += tsm___faktor(b,f,cons_eins);
erg += ppm___(a,f,d,cons_eins);
FREEALL(f);
erg += t_MONOMIAL_SCHUR(d,c,cons_eins);
FREEALL(d);
}
/*
if (t==1) t_HASHTABLE_SCHUR(c,c);
*/
ENDR("plet_powsym_schur");
}
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