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#include "def.h"
#include "macro.h"
INT mes_integer_partition_();
static OP mes_ip_limit = NULL;
static INT mes_ip_limit_length = 5;
static OP mes_ip_s = NULL;
static INT mes_ip_s_length = 5;
static OP mes_ip_v = NULL;
static INT mes_ip_v_length = 5;
INT mes_ende()
{
INT erg = OK;
if (mes_ip_limit != NULL) {
FREEALL(mes_ip_limit);
mes_ip_limit = NULL;
mes_ip_limit_length = 5;
}
if (mes_ip_s != NULL) {
FREEALL(mes_ip_s);
mes_ip_s = NULL;
mes_ip_s_length = 5;
}
if (mes_ip_v != NULL) {
FREEALL(mes_ip_v);
mes_ip_v = NULL;
mes_ip_v_length = 5;
}
return OK;
ENDR("mes_ende");
}
INT mes_integer_hashtable_(a,b,c,f) OP a,b,c; OP f;
{
INT erg = OK;
CTO(INTEGER,"mes_integer_hashtable_(1)",a);
CTTO(HASHTABLE,SCHUR,"mes_integer_hashtable_(2)",b);
CTTO(HASHTABLE,SCHUR,"mes_integer_hashtable_(3)",c);
SYMCHECK((S_I_I(a) < 0), "mes_integer_hashtable_:parameter <0");
M_FORALL_MONOMIALS_IN_B(a,b,c,f,mes_integer_partition_);
ENDR("mes_integer_hashtable_");
}
INT mes_integer__(a,b,c,f) OP a,b,c; OP f;
/* AK 311001 */
{
INT erg = OK;
CTO(INTEGER,"mes_integer__(1)",a);
CTTTO(HASHTABLE,PARTITION,SCHUR,"mes_integer__(2)",b);
CTTO(HASHTABLE,SCHUR,"mes_integer__(3)",c);
SYMCHECK((S_I_I(a) < 0), "mes_integer__:parameter <0");
if (S_O_K(b) == PARTITION) {
erg += mes_integer_partition_(a,b,c,f);
goto ende;
}
else {
erg += mes_integer_hashtable_(a,b,c,f);
goto ende;
}
ende:
ENDR("mes_integer__");
}
INT mes_partition__(a,b,c,f) OP a,b,c; OP f;
/* AK 311001 */
{
INT erg = OK;
CTO(PARTITION,"mes_partition__(1)",a);
CTTTO(HASHTABLE,PARTITION,SCHUR,"mes_partition__(2)",b);
CTTO(HASHTABLE,SCHUR,"mes_partition__(3)",c);
if (S_PA_LI(a) == 0) {
if (S_O_K(b) == PARTITION) {
OP d;
d = CALLOCOBJECT();
erg += m_sk_mo(b,f,d);
INSERT_SCHURMONOM_(d,c);
}
else /* schur or hashtable */
{
OP z;
FORALL(z,b,{
OP d;
d = CALLOCOBJECT();
erg += b_sk_mo(CALLOCOBJECT(),CALLOCOBJECT(),d);
erg += copy_partition(S_MO_S(z),S_MO_S(d));
if (not EINSP(f))
MULT(f,S_MO_K(z),S_MO_K(d));
else
COPY(S_MO_K(z),S_MO_K(d));
INSERT_SCHURMONOM_(d,c);
});
}
goto endr_ende;
}
else { /* partition of length >= 1 */
INT i; OP d,e;
d=CALLOCOBJECT();
e=CALLOCOBJECT();
erg += init_hashtable(e);
erg += mes_integer__(S_PA_I(a,0),b,e,f);
for (i=1;i<S_PA_LI(a);i++)
{
FREESELF(d);
erg += init_hashtable(d);
SWAP(d,e);
erg += mes_integer__(S_PA_I(a,i),d,e,cons_eins);
}
FREEALL(d);
if (S_O_K(c) == SCHUR)
INSERT_LIST(e,c,add_koeff,comp_monomschur);
else
INSERT_HASHTABLE(e,c,add_koeff,eq_monomsymfunc,hash_monompartition);
}
ENDR("mes_partition__");
}
INT mes_elmsym__(a,b,c,f) OP a,b,c,f;
/* AK 061101 */
/* c += h_a \times s_b \times f */
{
INT erg = OK;
CTO(ELMSYM,"mes_elmsym__(1)",a);
CTTTO(HASHTABLE,PARTITION,SCHUR,"mes_elmsym__(2)",b);
CTTO(HASHTABLE,SCHUR,"mes_elmsym__(3)",c);
M_FORALL_MONOMIALS_IN_A(a,b,c,f,mes_partition__);
ENDR("mes_elmsym__");
}
INT mes_hashtable__(a,b,c,f) OP a,b,c,f;
/* AK 061101 */
/* c += h_a \times s_b \times f */
{
INT erg = OK;
CTO(HASHTABLE,"mes_hashtable__(1)",a);
CTTTO(HASHTABLE,PARTITION,SCHUR,"mes_hashtable__(2)",b);
CTTO(HASHTABLE,SCHUR,"mes_hashtable__(3)",c);
M_FORALL_MONOMIALS_IN_A(a,b,c,f,mes_partition__);
ENDR("mes_elmsym__");
}
INT mult_elmsym_schur(a,b,c) OP a,b,c;
/* AK 111001
with pieri rule
*/
/* is the result=c empty the result will be a SCHUR object
is the result a HASHTABLE or SCHUR object will be the result inserted
*/
{
INT erg = OK;
INT t=0; /* is 1 if transfer HASHTABLE->SCHUR necessary */
CTTTTO(HASHTABLE,INTEGER,PARTITION,ELMSYM,"mult_elmsym_schur(1)",a);
CTTTO(HASHTABLE,PARTITION,SCHUR,"mult_elmsym_schur(2)",b);
CTTTO(EMPTY,HASHTABLE,SCHUR,"mult_elmsym_schur(3)",c);
if (S_O_K(a) == INTEGER)
{
if (S_O_K(c) == EMPTY) {
if (S_O_K(b) == PARTITION) init_schur(c);
else { t=1; init_hashtable(c); }
}
erg += mes_integer__(a,b,c,cons_eins);
}
else if (S_O_K(a) == PARTITION)
{
if (S_O_K(c) == EMPTY)
{ t=1; init_hashtable(c); }
erg += mes_partition__(a,b,c,cons_eins);
}
else if (S_O_K(a) == ELMSYM)
{
if (S_O_K(c) == EMPTY)
{ t=1; init_hashtable(c); }
erg += mes_elmsym__(a,b,c,cons_eins);
}
else /* if (S_O_K(a) == HASHTABLE) */
{
if (S_O_K(c) == EMPTY)
{ t=1; init_hashtable(c); }
erg += mes_hashtable__(a,b,c,cons_eins);
}
if (t==1) t_HASHTABLE_SCHUR(c,c);
ENDR("mult_elmsym_schur");
}
static INT mes_first_pieri(a,b,c) OP a,b,c;
{
INT i;
/*
m_il_nv(S_V_LI(b),c);
*/
if (S_V_LI(b) > mes_ip_v_length) {
inc_vector_co(c,S_V_LI(b) - mes_ip_v_length);
mes_ip_v_length = S_V_LI(c);
}
M_I_I(S_V_LI(b),S_V_L(c));
for (i=1;i<S_V_LI(c);i++) M_I_I(0,S_V_I(c,i));
M_I_I(S_I_I(a),S_V_I(c,0));
return OK;
}
static INT mes_next_pieri_limit_apply(limit,v) OP limit,v;
{
INT i,w=0,g=0;
for (i=S_V_LI(v)-1; i>=0;i--)
{
if (S_V_II(v,i) > 0)
if (w > 0) break;
else
g+=S_V_II(v,i);
if (S_V_II(limit,i) > 0)
w+=S_V_II(limit,i)-S_V_II(v,i);
M_I_I(0,S_V_I(v,i));
}
/* an der stelle i kann nach rechts geschoben werden */
if (i== -1) return FALSE;
g++;
M_I_I(S_V_II(v,i)-1, S_V_I(v,i));
for (i++; ;i++)
{
if (S_V_II(limit,i) >= g)
{
M_I_I(g,S_V_I(v,i));
return TRUE;
}
else {
M_I_I(S_V_II(limit,i),S_V_I(v,i));
g = g - S_V_II(limit,i);
}
}
}
INT mes_integer_partition_(a,b,c,f) OP a,b,c,f;
/* c += e_a \times s_b \times f*/
/* c is already initialised */
{
INT erg = OK;
/* pieri rule */
OP limit;
OP v;
INT i,j,k;
OP ps,s;
CTO(INTEGER,"mes_integer_partition_(1)",a);
CTO(PARTITION,"mes_integer_partition_(2)",b);
CTTO(SCHUR,HASHTABLE,"mes_integer_partition_(3)",c);
SYMCHECK(S_I_I(a) < 0,"mes_integer_partition_:integer < 0");
if (S_PA_LI(b) == 0) {
OP s;
s = CALLOCOBJECT();
erg += b_sk_mo(CALLOCOBJECT(),CALLOCOBJECT(),s);
COPY(f,S_MO_K(s));
erg += last_partition(a,S_MO_S(s));
INSERT_SCHURMONOM_(s,c);
goto ende;
}
if (S_I_I(a) == 0) {
OP s;
s = CALLOCOBJECT();
erg += m_sk_mo(b,f,s);
INSERT_SCHURMONOM_(s,c);
goto ende;
}
if (mes_ip_limit == NULL) {
mes_ip_limit=CALLOCOBJECT();
m_il_integervector(mes_ip_limit_length,mes_ip_limit);
limit = mes_ip_limit;
}
else {
M_I_I(mes_ip_limit_length,S_V_L(mes_ip_limit));
limit = mes_ip_limit;
}
if ((S_PA_II(b,S_PA_LI(b)-1)+1) > mes_ip_limit_length)
{
inc_vector_co(limit, (S_PA_II(b,S_PA_LI(b)-1)+1) - mes_ip_limit_length);
mes_ip_limit_length = S_V_LI(limit);
CTO(INTEGERVECTOR,"mes_integer_partition_(i1)",limit);
}
M_I_I((S_PA_II(b,S_PA_LI(b)-1)+1),S_V_L(mes_ip_limit));
M_I_I(S_I_I(a),S_V_I(limit,0));
for (i=1;i<S_V_LI(limit);i++)
M_I_I(0,S_V_I(limit,i));
for (i=0;i<S_PA_LI(b);i++)
INC_INTEGER(S_V_I(limit,S_PA_II(b,i)));
if (mes_ip_s == NULL) {
ps = CALLOCOBJECT();
erg += m_il_integervector(mes_ip_s_length,ps);
mes_ip_s = CALLOCOBJECT();
erg += b_sk_mo(CALLOCOBJECT(),CALLOCOBJECT(),mes_ip_s);
erg += b_ks_pa(VECTOR,ps,S_MO_S(mes_ip_s));
s = mes_ip_s;
}
else {
M_I_I(mes_ip_s_length,S_PA_L(S_MO_S(mes_ip_s)));
s = mes_ip_s;
ps = S_PA_S(S_MO_S(s));
}
if (S_PA_LI(b)+S_I_I(a) > mes_ip_s_length)
{
inc_vector_co(S_PA_S(S_MO_S(s)), (S_PA_LI(b)+S_I_I(a)) - mes_ip_s_length);
mes_ip_s_length = S_PA_LI(S_MO_S(s));
}
M_I_I(S_PA_LI(b)+S_I_I(a),S_PA_L(S_MO_S(s)));
for (i=0;i<S_PA_LI(S_MO_S(s));i++) M_I_I(0,S_PA_I(S_MO_S(s),i));
FREESELF(S_MO_K(s));
COPY(f,S_MO_K(s));
/* v = CALLOCOBJECT(); */
if (mes_ip_v == NULL)
{
mes_ip_v = CALLOCOBJECT();
erg += m_il_integervector(mes_ip_v_length,mes_ip_v);
v = mes_ip_v;
}
else {
M_I_I(mes_ip_v_length,S_V_L(mes_ip_v));
v = mes_ip_v;
}
erg += mes_first_pieri(a,limit,v);
do {
for (i=0;i<S_V_II(v,0);i++)
M_I_I(1,S_V_I(ps,i));
for (j=0;j<S_PA_LI(b);j++,i++)
M_I_I(S_PA_II(b,j), S_V_I(ps,i));
M_I_I(S_PA_LI(b)+S_V_II(v,0), S_V_L(ps));
for (j=S_V_LI(ps)-1,i=S_V_LI(v)-1; i>0;i--)
if (S_V_II(v,i) > 0)
{
while(S_V_II(ps,j) > i) j--;
if (S_V_II(ps,j) != i) error("");
for (k=0;k<S_V_II(v,i);k++)
INC_INTEGER(S_V_I(ps,j-k));
j = j - S_V_II(v,i);
}
if (S_O_K(c) == SCHUR)
{
OP ss = CALLOCOBJECT();
erg += copy_monom(s,ss);
insert_list(ss,c,add_koeff,comp_monomschur);
}
else
{
HASH_INTEGERVECTOR(S_PA_S(S_MO_S(s)),j);
C_PA_HASH(S_MO_S(s),j);
erg += add_apply_hashtable(s,c,add_koeff,eq_monomsymfunc,hash_monompartition);
}
} while (mes_next_pieri_limit_apply(limit,v) == TRUE);
ende:
ENDR("mes_integer_partition_");
}
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