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#include "def.h"
#include "macro.h"
INT tmp_monomial__faktor();
INT monomial_recursion();
INT tmp_integer__faktor(a,b,f) OP a,b,f;
{
INT erg = OK;
OP c;
CTO(INTEGER,"tmp_integer__faktor(1)",a);
CTTO(POWSYM,HASHTABLE,"tmp_integer__faktor(2)",b);
SYMCHECK((S_I_I(a) < 0),"tmp_integer__faktor: first parameter < 0");
c = CALLOCOBJECT();
erg += b_sk_mo(CALLOCOBJECT(),CALLOCOBJECT(),c);
erg += first_partition(a,S_MO_S(c));
COPY(f,S_MO_K(c));
if (S_O_K(b) == POWSYM)
INSERT_LIST(c,b,add_koeff,comp_monompowsym);
else
INSERT_HASHTABLE(c,b,add_koeff,eq_monomsymfunc,hash_monompartition);
ENDR("tmp_integer__faktor");
}
INT tmp_int__faktor(a,b,f) OP b,f; INT a;
{
INT erg = OK;
OP c,d;
CTTO(POWSYM,HASHTABLE,"tmp_int__faktor(2)",b);
SYMCHECK((a < 0),"tmp_int__faktor: first parameter < 0");
c = CALLOCOBJECT();
d = CALLOCOBJECT();
erg += b_sk_mo(CALLOCOBJECT(),CALLOCOBJECT(),c);
M_I_I(a,d);
erg += first_partition(d,S_MO_S(c));
COPY(f,S_MO_K(c));
if (S_O_K(b) == POWSYM)
INSERT_LIST(c,b,add_koeff,comp_monompowsym);
else
INSERT_HASHTABLE(c,b,add_koeff,eq_monomsymfunc,hash_monompartition);
FREEALL(d);
ENDR("tmp_int__faktor");
}
INT mpp_hashtable_hashtable_();
INT tmp_partition__faktor(a,b,f) OP a,b,f;
{
static INT level=0;
INT erg = OK;
CTO(PARTITION,"tmp_partition__faktor(1)",a);
CTTO(POWSYM,HASHTABLE,"tmp_partition__faktor(2)",b);
level++;
if (S_PA_LI(a) == 0)
erg += tmp_integer__faktor(cons_null,b,f);
else if (S_PA_LI(a) == 1)
erg += tmp_integer__faktor(S_PA_I(a,0),b,f);
else if (S_PA_LI(a) == 2)
{
/*
if a != b : m_a,b = p_a,b - p_(a+b)
if a == b : m_a,a = 1/2 p_a,a - 1/2 p_(a+a)
*/
OP m,ff;
m = CALLOCOBJECT();
b_sk_mo(CALLOCOBJECT(),CALLOCOBJECT(),m);
copy_partition(a,S_MO_S(m));
COPY(f,S_MO_K(m));
if (S_PA_II(a,0)==S_PA_II(a,1))
div_apply(S_MO_K(m),cons_zwei);
if (S_O_K(b) == POWSYM)
INSERT_LIST(m,b,add_koeff,comp_monompowsym);
else
insert_scalar_hashtable(m,b,add_koeff,eq_monomsymfunc,hash_monompartition);
ff = CALLOCOBJECT();
ADDINVERS(f,ff);
if (S_PA_II(a,0)==S_PA_II(a,1))
div_apply(ff,cons_zwei);
erg += tmp_int__faktor(S_PA_II(a,0)+S_PA_II(a,1),b,ff);
FREEALL(ff);
goto eee;
}
else
{
erg += monomial_recursion(a,b,f,
tmp_partition__faktor,
tmp_monomial__faktor,mpp_hashtable_hashtable_);
goto eee;
}
eee:
ENDR("tmp_partition__faktor");
}
INT splitpart(a,p1,p2) OP a,p1,p2;
/* a is a partition of length >= 2 */
/* b and c becomes half of it */
{
OP v1,v2;
INT erg = OK;
INT i,j;
CTO(PARTITION,"splitpart(1)",a);
v1 = CALLOCOBJECT();
v2 = CALLOCOBJECT();
erg += m_il_v(S_PA_LI(a)/2 ,v1);
erg += m_il_v(S_PA_LI(a)-S_V_LI(v1) ,v2);
for (i=0;i<S_V_LI(v1);i++) M_I_I(S_PA_II(a,i),S_V_I(v1,i));
for (j=0;i<S_PA_LI(a);i++,j++) M_I_I(S_PA_II(a,i),S_V_I(v2,j));
erg += b_ks_pa(VECTOR,v1,p1);
erg += b_ks_pa(VECTOR,v2,p2);
ENDR("splitpart");
}
INT mmm_partition_partition_();
INT monomial_recursion(a,b,f,partf,monf,multf) OP a,b,f; INT (*partf)(); INT (*monf)();
INT (*multf)();
/* implementiert die rekursion fuer monomial symmetric functions */
/* m_a1,a2,...,an,an+1,...a2n =
m_a1,...,an * m_an+1,..,a2n - terms of length <2n
*/
/* a ist partition
b wirds result
f ist faktor
partf ist eine funktion fuer partitionen
monf ist eine funktion fuer monomials */
{
INT erg = OK;
OP p1,p2,m1,m2,h2,h3,c;
OP coeff;
CTO(PARTITION,"monomial_recursion(1)",a);
p1 = CALLOCOBJECT(); p2 = CALLOCOBJECT();
erg += splitpart(a,p1,p2);
/* p1 und p2 sind die halben partitionen */
m1 = CALLOCOBJECT(); init_hashtable(m1);
erg += mmm_partition_partition_(p1,p2,m1,cons_eins);
m2 = CALLOCOBJECT();
erg += b_sk_mo(NULL,NULL,m2);
C_MO_S(m2,a);
c = find_hashtable(m2,m1,eq_monomsymfunc,hash_monompartition);
SYMCHECK( (c == NULL) ,"tmp_partition__faktor:wrong leading monomial");
coeff = CALLOCOBJECT();
INVERS(S_MO_K(c),coeff); /* leitkoeff */
MULT_APPLY(coeff,m1);
FREESELF(c);
DEC_INTEGER(S_V_I(m1,S_V_LI(m1)));
/* es gilt jetzt m_a = (m_p1 * m_p2 )*coeff - m1 */
c = CALLOCOBJECT();
ADDINVERS(f,c);
erg += (*monf)(m1,b,c);
C_MO_S(m2,c);
C_MO_K(m2,m1);
FREEALL(m2);
h2 = CALLOCOBJECT();init_hashtable(h2);
erg += (*partf)(p1,h2,coeff);
FREEALL(p1);
FREEALL(coeff);
h3 = CALLOCOBJECT();init_hashtable(h3);
erg += (*partf)(p2,h3,f);
FREEALL(p2);
erg += (*multf)(h3,h2,b,cons_eins);
FREEALL(h2);
FREEALL(h3);
ENDR("monomial_recursion");
}
INT monomial_recursion2();
INT tmp_monomial__faktor(a,b,f) OP a,b,f;
{
INT tep_integer__faktor();
INT erg = OK;
CTTO(HASHTABLE,MONOMIAL,"tmp_monomial__faktor(1)",a);
CTTO(POWSYM,HASHTABLE,"tmp_monomial__faktor(2)",b);
monomial_recursion2(a,b,f,
tmp_partition__faktor,tmp_integer__faktor,
tep_integer__faktor,
mult_powsym_powsym);
ENDR("tmp_monomial__faktor");
}
INT tmp___faktor(a,b,f) OP a,b,f;
/* 061201 */
{
INT erg = OK;
CTTTTO(HASHTABLE,INTEGER,MONOMIAL,PARTITION,"tmp___faktor(1)",a);
CTTO(HASHTABLE,POWSYM,"tmp___faktor(2)",b);
if (S_O_K(a) == INTEGER) {
erg += tmp_integer__faktor(a,b,f);
goto eee;
}
if (S_O_K(a) == PARTITION)
{
erg += tmp_partition__faktor(a,b,f);
goto eee;
}
else /* MONOMIAL HASHTABLE */
{
erg += tmp_monomial__faktor(a,b,f);
goto eee;
}
eee:
ENDR("tmp___faktor");
}
INT t_MONOMIAL_POWSYM(a,b) OP a,b;
/* AK 170901 */
{
INT erg = OK;
INT t = 0;
CTTTTO(HASHTABLE,INTEGER,MONOMIAL,PARTITION,"t_MONOMIAL_POWSYM(1)",a);
TCE2(a,b,t_MONOMIAL_POWSYM,POWSYM);
if (S_O_K(b) == EMPTY)
{
init_hashtable(b);t=1;
}
CTTO(POWSYM,HASHTABLE,"t_MONOMIAL_POWSYM(2)",b);
erg += tmp___faktor(a,b,cons_eins);
if (t==1) t_HASHTABLE_POWSYM(b,b);
ENDR("t_MONOMIAL_POWSYM");
}
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