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#include "def.h"
#include "macro.h"
INT mps_integer_partition_();
INT mxx_null__();
INT mps_hashtable__();
static OP mps_ip_d = NULL;
static INT mps_ip_l = 50;
INT mps_ende()
{
INT erg = OK;
if (mps_ip_d != NULL)
{
CTO(MONOM,"mps_ende(i1)",mps_ip_d);
FREEALL(mps_ip_d);
mps_ip_d = NULL;
}
ENDR("mps_ende");
}
INT mult_power_schur(a,b,c) OP a,b,c;
/* for compability */
{ return mult_powsym_schur(a,b,c); }
INT mps_null__(b,c,f) OP b,c,f;
/* c = c + p_0 * s_b * f */
{
INT erg = OK;
CTTTTO(INTEGER,HASHTABLE,PARTITION,SCHUR,"mps_null__(1)",b);
CTTO(SCHUR,HASHTABLE,"mps_null__(2)",c);
erg += mxx_null__(b,c,f);
ENDR("mps_null");
}
INT mps_integer__(a,b,c,f) OP a,b,c,f;
{
INT erg = OK;
CTO(INTEGER,"mps_integer__(1)",a);
CTTTTO(INTEGER,HASHTABLE,PARTITION,SCHUR,"mps_integer__(2)",b);
CTTO(SCHUR,HASHTABLE,"mps_integer__(3)",c);
CTO(ANYTYPE,"mps_integer__(4)",f);
SYMCHECK((S_I_I(a) < 0),"mps_integer__:parameter<0");
if (S_I_I(a) == 0)
{
erg += mps_null__(b,c,f);
goto eee;
}
else if (S_O_K(b) == INTEGER) {
OP ff;
ff = CALLOCOBJECT();
erg += first_partition(b,ff);
erg += mps_integer_partition_(a,ff,c,f);
FREEALL(ff);
goto eee;
}
else if (S_O_K(b) == PARTITION) {
erg += mps_integer_partition_(a,b,c,f);
goto eee;
}
else /* SCHUR HASHTABLE */ {
M_FORALL_MONOMIALS_IN_B(a,b,c,f,mps_integer_partition_);
goto eee;
}
eee:
CTTO(SCHUR,HASHTABLE,"mps_integer__(e3)",c);
ENDR("mps_integer__");
}
INT mps_partition__(a,b,c,f) OP a,b,c; OP f;
{
INT erg = OK;
CTO(PARTITION,"mps_partition__(1)",a);
CTTTTO(INTEGER,HASHTABLE,PARTITION,SCHUR,"mps_partition__(2)",b);
CTTO(HASHTABLE,SCHUR,"mps_partition__(3)",c);
if (S_PA_LI(a) == 0)
{
erg += mps_integer__(cons_null,b,c,f);
}
else if (S_PA_LI(a) == 1)
{
erg += mps_integer__(S_PA_I(a,0),b,c,f);
}
else {
INT i; OP d,e;
d=CALLOCOBJECT();
e=CALLOCOBJECT();
erg += init_hashtable(e);
erg += mps_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 += mps_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("mps_partition__");
}
INT mps_powsym__(a,b,c,f) OP a,b,c,f;
{
INT erg = OK;
CTO(POWSYM,"mps_powsym__(1)",a);
CTTTTO(HASHTABLE,INTEGER,PARTITION,SCHUR,"mps_powsym__(2)",b);
CTTO(HASHTABLE,SCHUR,"mps_powsym__(3)",c);
M_FORALL_MONOMIALS_IN_A(a,b,c,f,mps_partition__);
ENDR("mps_powsym__");
}
INT mps_hashtable__pre100102(a,b,c,f) OP a,b,c,f;
{
INT erg = OK;
CTO(HASHTABLE,"mps_hashtable__(1)",a);
CTTTTO(HASHTABLE,INTEGER,PARTITION,SCHUR,"mps_hashtable__(2)",b);
CTTO(HASHTABLE,SCHUR,"mps_hashtable__(3)",c);
M_FORALL_MONOMIALS_IN_A(a,b,c,f,mps_partition__);
ENDR("mps_hashtable__");
}
INT mps___(a,b,c,f) OP a,b,c,f;
{
INT erg = OK;
CTTTTO(HASHTABLE,INTEGER,PARTITION,POWSYM,"mps___(1)",a);
CTTTTO(INTEGER,HASHTABLE,PARTITION,SCHUR,"mps___(2)",b);
CTTO(SCHUR,HASHTABLE,"mps___(3)",c);
if (S_O_K(a) == INTEGER)
{
erg += mps_integer__(a,b,c,f);
}
else if (S_O_K(a) == PARTITION)
{
erg += mps_partition__(a,b,c,f);
}
else if (S_O_K(a) == POWSYM)
{
erg += mps_powsym__(a,b,c,f);
}
else /* if (S_O_K(a) == HASHTABLE) */
{
erg += mps_hashtable__(a,b,c,f);
}
ENDR("mps___");
}
INT mult_powsym_schur(a,b,c) OP a,b,c;
/* a is INTEGER, PARTITION b is SCHUR c becomes SCHUR */
/* AK 200891 V1.3 */
{
INT erg = OK;
INT t=0;
CTTTTO(HASHTABLE,INTEGER,PARTITION,POWSYM,"mult_powsym_schur(1)",a);
CTTTTO(INTEGER,HASHTABLE,PARTITION,SCHUR,"mult_powsym_schur(2)",b);
CTTTO(SCHUR,HASHTABLE,EMPTY,"mult_powsym_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 if (S_O_K(b) == INTEGER) init_schur(c);
else { t=1; init_hashtable(c); }
}
}
else if (S_O_K(c) == EMPTY)
{ t=1; init_hashtable(c); }
mps___(a,b,c,cons_eins);
if (t==1) t_HASHTABLE_SCHUR(c,c);
CTTTO(SCHUR,HASHTABLE,EMPTY,"mult_powsym_schur(e3)",c);
ENDR("mult_powsym_schur");
}
INT mps_integer_partition_(a,b,c,f) OP a,b,c; OP f;
/* a is INTEGER b is PARTITION c is SCHUR or HASHTABLE */
/* AK 200891 V1.3 */
/* called from mms_integer_partition() */
{
OP d;
INT i,j;
INT erg=OK;
EOP("mps_integer_partition_(4)",f);
CTO(INTEGER,"mps_integer_partition_(1)",a);
CTO(PARTITION,"mps_integer_partition_(2)",b);
CTTO(HASHTABLE,SCHUR,"mps_integer_partition_(3)",c);
CTO(ANYTYPE,"mps_integer_partition_(4)",f);
SYMCHECK(S_I_I(a) < 0, "mps_integer_partition_:integer < 0");
if (mps_ip_d == NULL)
{
d = CALLOCOBJECT();
erg += b_sk_mo(CALLOCOBJECT(),CALLOCOBJECT(),d);
erg += b_ks_pa(VECTOR,CALLOCOBJECT(),S_MO_S(d));
erg += m_il_v(mps_ip_l,S_PA_S(S_MO_S(d)));
C_O_K(S_PA_S(S_MO_S(d)),INTEGERVECTOR);
mps_ip_d = d;
}
d = mps_ip_d;
if (S_I_I(a)+S_PA_LI(b) > mps_ip_l) {
M_I_I(mps_ip_l, S_PA_L(S_MO_S(d)));
inc_vector_co(S_PA_S(S_MO_S(d)), S_I_I(a)+S_PA_LI(b)-mps_ip_l);
mps_ip_l = S_I_I(a)+S_PA_LI(b);
}
C_I_I( S_PA_L(S_MO_S(d)) , S_I_I(a)+S_PA_LI(b));
for (i=(INT)0; i<S_I_I(a)+S_PA_LI(b); i++)
{
for (j=(INT)0;j<S_I_I(a);j++)
M_I_I((INT)0,S_PA_I(S_MO_S(d),j));
for (j=(INT)0;j<S_PA_LI(b);j++)
M_I_I(S_PA_II(b,j),S_PA_I(S_MO_S(d),j+S_I_I(a)));
/* now we have copied the partition with leading zeros */
M_I_I(S_I_I(a)+S_PA_II(S_MO_S(d),i),S_PA_I(S_MO_S(d),i));
j = reorder_vector_apply(S_PA_S(S_MO_S(d)));
if (j == 0) { continue; }
else {
if ((S_O_K(S_MO_K(d)) == BRUCH) && (S_O_K(f) == BRUCH) )
{
FREESELF(S_B_O(S_MO_K(d)));
FREESELF(S_B_U(S_MO_K(d)));
COPY(S_B_U(f),S_B_U(S_MO_K(d)));
if (j==1)
COPY(S_B_O(f),S_B_O(S_MO_K(d)));
else
ADDINVERS(S_B_O(f),S_B_O(S_MO_K(d)));
}
else {
FREESELF(S_MO_K(d));
if (j==1)
COPY(f,S_MO_K(d));
else
ADDINVERS(f,S_MO_K(d));
}
if (S_O_K(c) == SCHUR)
{
OP dd;
dd = CALLOCOBJECT();
copy_monom(d,dd);
INSERT_LIST(dd,c,add_koeff,comp_monomschur);
}
else
{
HASH_INTEGERVECTOR(S_PA_S(S_MO_S(d)),j);
C_PA_HASH(S_MO_S(d),j);
add_apply_hashtable(d,c,add_koeff,eq_monomsymfunc,hash_monompartition);
}
}
C_I_I(S_PA_L(S_MO_S(d)), S_I_I(a)+S_PA_LI(b));
}
CTTO(HASHTABLE,SCHUR,"mps_integer_partition_(e3)",c);
ENDR("mps_integer_partition_");
}
INT mps_hashtable__(a,b,c,f) OP a,b,c,f;
{
INT erg = OK;
INT w;
CTO(HASHTABLE,"mps_hashtable__(1)",a);
CTTTTO(HASHTABLE,INTEGER,PARTITION,SCHUR,"mps_hashtable__(2)",b);
CTTO(HASHTABLE,SCHUR,"mps_hashtable__(3)",c);
w = WEIGHT_HASHTABLE(a);
if (w == 0) goto ende;
if (w == 1) {
M_FORALL_MONOMIALS_IN_A(a,b,c,f,mps_partition__);
goto ende;
}
{
OP z=NULL,zz=NULL;
OP v;
OP h1,h2,h3;
INT m;
INT h2s, h3s;
v = CALLOCOBJECT();
z = findmax_powsym(a,maxpart_comp_part);
if (S_PA_LI(S_MO_S(z)) == 0) {
SYMCHECK(w != 1, "mps_hashtable__(i2)");
FREESELF(v);
MULT(S_MO_K(z),f,v);
erg += mxx_null__(b,c,v);
FREEALL(v);
goto ende;
}
m = 100000;
FORALL(z,a,{if (S_PA_II(S_MO_S(z),0) < m) m = S_PA_II(S_MO_S(z),0); });
zz = CALLOCOBJECT(); M_I_I(m,zz);
CTO(INTEGER,"mps_hashtable__(i2)",zz);
NEW_HASHTABLE(h1);
mps_integer__(zz,b,h1,cons_eins);
CTO(HASHTABLE,"mps_hashtable__(h1)",h1);
NEW_HASHTABLE(h2);
NEW_HASHTABLE(h3);
/* h2 partitionen ohne zz */
/* h3 partitionen wo zz gestrichen */
h2s = h3s = 0;
FORALL(z,a,{
if (S_PA_II(S_MO_S(z),0) != m) {
OP h;
h = CALLOCOBJECT();
SWAP(z,h);
insert_scalar_hashtable(h,h2,add_koeff,eq_monomsymfunc,hash_monompartition);
h2s++;
DEC_INTEGER(S_V_I(a,S_V_LI(a)));
}
else {
OP h;
h = CALLOCOBJECT();
b_sk_mo(CALLOCOBJECT(),CALLOCOBJECT(),h);
COPY(S_MO_K(z),S_MO_K(h));
remove_part_integer(S_MO_S(z),zz,S_MO_S(h));
if (S_PA_LI(S_MO_S(h)) == 0) {
FREESELF(h);
MULT(S_MO_K(z),f,h);
erg += mxx_null__(h1,c,h);
FREEALL(h);
}
else {
C_PA_HASH(S_MO_S(h),-1);
insert_scalar_hashtable(h,h3,add_koeff,eq_monomsymfunc,hash_monompartition);
h3s++;
}
}
} );
CTO(HASHTABLE,"mps_hashtable__(i3)",h2);
CTO(HASHTABLE,"mps_hashtable__(i4)",h3);
if (h3s) mps_hashtable__(h3,h1,c,f);
if (h2s) mps_hashtable__(h2,b,c,f);
insert_hashtable_hashtable(h2,a,NULL,eq_monomsymfunc,hash_monompartition);
FREEALL(h1);
FREEALL(h3);
FREEALL(v);
FREEALL(zz);
}
ende:
CTTO(HASHTABLE,SCHUR,"mps_hashtable__(e3)",c);
ENDR("mps_hashtable__");
}
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