version 1.99, 2005/11/24 08:16:03 |
version 1.107, 2005/12/11 05:27:30 |
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* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* |
* |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/strobj.c,v 1.98 2005/11/16 23:42:53 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/strobj.c,v 1.106 2005/12/10 14:14:15 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "parse.h" |
#include "parse.h" |
Line 92 void Pquotetotex(); |
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Line 92 void Pquotetotex(); |
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void Pquotetotex_env(); |
void Pquotetotex_env(); |
void Pflatten_quote(); |
void Pflatten_quote(); |
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void Pquote_is_integer(),Pquote_is_rational(),Pquote_is_number(); |
void Pqt_is_integer(),Pqt_is_rational(),Pqt_is_number(); |
void Pquote_is_dependent(),Pquote_is_function(); |
void Pqt_is_dependent(),Pqt_is_function(); |
void Pquote_normalize(); |
void Pqt_set_ord(); |
void Pnquote_comp(); |
void Pqt_normalize(); |
void Pnquote_match(); |
void Pnqt_comp(); |
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void Pnqt_match(); |
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void Pnqt_match_rewrite(); |
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void Pquote_to_nbp(); |
void Pqt_to_nbp(); |
void Pshuffle_mul_nbp(), Pharmonic_mul_nbp(); |
void Pshuffle_mul(), Pharmonic_mul(); |
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void Pnbp_hm(), Pnbp_ht(), Pnbp_hc(), Pnbp_rest(); |
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void Pnbm_deg(); |
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void Pnbm_hp_rest(); |
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void Pnbm_hxky(), Pnbm_xky_rest(); |
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void Pnbm_hv(), Pnbm_rest(); |
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void Pquote_to_funargs(),Pfunargs_to_quote(),Pget_function_name(); |
void Pquote_to_funargs(),Pfunargs_to_quote(),Pget_function_name(); |
void Pquote_match(),Pget_quote_id(),Pquote_match_rewrite(); |
void Pqt_match(),Pget_quote_id(); |
void Pquote_to_nary(),Pquote_to_bin(); |
void Pqt_to_nary(),Pqt_to_bin(); |
void fnode_do_assign(NODE arg); |
void fnode_do_assign(NODE arg); |
void do_assign(NODE arg); |
void do_assign(NODE arg); |
void fnodetotex_tb(FNODE f,TB tb); |
void fnodetotex_tb(FNODE f,TB tb); |
Line 115 void tb_to_string(TB tb,STRING *rp); |
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Line 122 void tb_to_string(TB tb,STRING *rp); |
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void fnodenodetotex_tb(NODE n,TB tb); |
void fnodenodetotex_tb(NODE n,TB tb); |
void fargstotex_tb(char *opname,FNODE f,TB tb); |
void fargstotex_tb(char *opname,FNODE f,TB tb); |
int top_is_minus(FNODE f); |
int top_is_minus(FNODE f); |
int quote_match(Obj f,Obj pat,NODE *rp); |
int qt_match(Obj f,Obj pat,NODE *rp); |
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FNODE partial_eval(FNODE), fnode_to_nary(FNODE), fnode_to_bin(FNODE,int); |
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FNODE nfnode_add(FNODE a1,FNODE a2,int expand); |
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FNODE nfnode_mul(FNODE a1,FNODE a2,int expand); |
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FNODE nfnode_pwr(FNODE a1,FNODE a2,int expand); |
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FNODE nfnode_mul_coef(Num c,FNODE f,int expand); |
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FNODE fnode_expand_pwr(FNODE f,int n,int expand); |
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FNODE to_narymul(FNODE f); |
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FNODE to_naryadd(FNODE f); |
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FNODE fnode_node_to_nary(ARF op,NODE n); |
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void fnode_base_exp(FNODE f,FNODE *bp,FNODE *ep); |
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void fnode_coef_body(FNODE f,Num *cp,FNODE *bp); |
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FNODE nfnode_match_rewrite(FNODE f,FNODE p,FNODE c,FNODE a,int mode); |
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FNODE fnode_apply(FNODE f,FNODE (*func)(),int expand); |
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FNODE fnode_normalize(FNODE f,int expand); |
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FNODE rewrite_fnode(FNODE f,NODE arg,int qarg); |
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struct ftab str_tab[] = { |
struct ftab str_tab[] = { |
{"sprintf",Psprintf,-99999999}, |
{"sprintf",Psprintf,-99999999}, |
Line 133 struct ftab str_tab[] = { |
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Line 155 struct ftab str_tab[] = { |
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{"string_to_tb",Pstring_to_tb,1}, |
{"string_to_tb",Pstring_to_tb,1}, |
{"get_quote_id",Pget_quote_id,1}, |
{"get_quote_id",Pget_quote_id,1}, |
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{"quote_is_number",Pquote_is_number,1}, |
{"qt_is_number",Pqt_is_number,1}, |
{"quote_is_rational",Pquote_is_rational,1}, |
{"qt_is_rational",Pqt_is_rational,1}, |
{"quote_is_integer",Pquote_is_integer,1}, |
{"qt_is_integer",Pqt_is_integer,1}, |
{"quote_is_function",Pquote_is_function,1}, |
{"qt_is_function",Pqt_is_function,1}, |
{"quote_is_dependent",Pquote_is_dependent,2}, |
{"qt_is_dependent",Pqt_is_dependent,2}, |
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{"quote_normalize",Pquote_normalize,-2}, |
{"qt_set_ord",Pqt_set_ord,-1}, |
{"quote_match",Pquote_match,2}, |
{"qt_normalize",Pqt_normalize,-2}, |
{"quote_match_rewrite",Pquote_match_rewrite,-4}, |
{"qt_match",Pqt_match,2}, |
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{"nqt_match_rewrite",Pnqt_match_rewrite,3}, |
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{"nquote_comp",Pnquote_comp,2}, |
{"nqt_comp",Pnqt_comp,2}, |
{"nquote_match",Pnquote_match,2}, |
{"nqt_match",Pnqt_match,-3}, |
{"quote_to_nbp",Pquote_to_nbp,1}, |
{"qt_to_nbp",Pqt_to_nbp,1}, |
{"shuffle_mul_nbp",Pshuffle_mul_nbp,2}, |
{"shuffle_mul",Pshuffle_mul,2}, |
{"harmonic_mul_nbp",Pharmonic_mul_nbp,2}, |
{"harmonic_mul",Pharmonic_mul,2}, |
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{"quote_to_nary",Pquote_to_nary,1}, |
{"nbp_hm", Pnbp_hm,1}, |
{"quote_to_bin",Pquote_to_bin,2}, |
{"nbp_ht", Pnbp_ht,1}, |
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{"nbp_hc", Pnbp_hc,1}, |
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{"nbp_rest", Pnbp_rest,1}, |
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{"nbm_deg", Pnbm_deg,1}, |
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{"nbm_hxky", Pnbm_hxky,1}, |
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{"nbm_xky_rest", Pnbm_xky_rest,1}, |
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{"nbm_hp_rest", Pnbm_hp_rest,1}, |
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{"nbm_hv", Pnbm_hv,1}, |
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{"nbm_rest", Pnbm_rest,1}, |
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{"qt_to_nary",Pqt_to_nary,1}, |
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{"qt_to_bin",Pqt_to_bin,2}, |
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{"quotetotex_tb",Pquotetotex_tb,2}, |
{"quotetotex_tb",Pquotetotex_tb,2}, |
{"quotetotex",Pquotetotex,1}, |
{"quotetotex",Pquotetotex,1}, |
{"quotetotex_env",Pquotetotex_env,-99999999}, |
{"quotetotex_env",Pquotetotex_env,-99999999}, |
Line 554 void Pwrite_to_tb(NODE arg,Q *rp) |
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Line 588 void Pwrite_to_tb(NODE arg,Q *rp) |
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*rp = 0; |
*rp = 0; |
} |
} |
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FNODE partial_eval(FNODE), fnode_to_nary(FNODE), fnode_to_bin(FNODE,int); |
void Pqt_to_nary(NODE arg,QUOTE *rp) |
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void Pquote_to_nary(NODE arg,QUOTE *rp) |
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{ |
{ |
FNODE f; |
FNODE f; |
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Line 564 void Pquote_to_nary(NODE arg,QUOTE *rp) |
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Line 596 void Pquote_to_nary(NODE arg,QUOTE *rp) |
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MKQUOTE(*rp,f); |
MKQUOTE(*rp,f); |
} |
} |
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void Pquote_to_bin(NODE arg,QUOTE *rp) |
void Pqt_to_bin(NODE arg,QUOTE *rp) |
{ |
{ |
FNODE f; |
FNODE f; |
int direction; |
int direction; |
Line 575 void Pquote_to_bin(NODE arg,QUOTE *rp) |
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Line 607 void Pquote_to_bin(NODE arg,QUOTE *rp) |
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MKQUOTE(*rp,f); |
MKQUOTE(*rp,f); |
} |
} |
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void Pquote_is_number(NODE arg,Q *rp) |
void Pqt_is_number(NODE arg,Q *rp) |
{ |
{ |
QUOTE q; |
QUOTE q; |
int ret; |
int ret; |
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q = (QUOTE)ARG0(arg); |
q = (QUOTE)ARG0(arg); |
asir_assert(q,O_QUOTE,"quote_is_number"); |
asir_assert(q,O_QUOTE,"qt_is_number"); |
ret = fnode_is_number(BDY(q)); |
ret = fnode_is_number(BDY(q)); |
STOQ(ret,*rp); |
STOQ(ret,*rp); |
} |
} |
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void Pquote_is_rational(NODE arg,Q *rp) |
void Pqt_is_rational(NODE arg,Q *rp) |
{ |
{ |
QUOTE q; |
QUOTE q; |
int ret; |
int ret; |
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q = (QUOTE)ARG0(arg); |
q = (QUOTE)ARG0(arg); |
asir_assert(q,O_QUOTE,"quote_is_rational"); |
asir_assert(q,O_QUOTE,"qt_is_rational"); |
ret = fnode_is_rational(BDY(q)); |
ret = fnode_is_rational(BDY(q)); |
STOQ(ret,*rp); |
STOQ(ret,*rp); |
} |
} |
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void Pquote_is_integer(NODE arg,Q *rp) |
void Pqt_is_integer(NODE arg,Q *rp) |
{ |
{ |
QUOTE q; |
QUOTE q; |
int ret; |
int ret; |
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q = (QUOTE)ARG0(arg); |
q = (QUOTE)ARG0(arg); |
asir_assert(q,O_QUOTE,"quote_is_integer"); |
asir_assert(q,O_QUOTE,"qt_is_integer"); |
ret = fnode_is_integer(BDY(q)); |
ret = fnode_is_integer(BDY(q)); |
STOQ(ret,*rp); |
STOQ(ret,*rp); |
} |
} |
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void Pquote_is_function(NODE arg,Q *rp) |
void Pqt_is_function(NODE arg,Q *rp) |
{ |
{ |
QUOTE q; |
QUOTE q; |
int ret; |
int ret; |
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q = (QUOTE)ARG0(arg); |
q = (QUOTE)ARG0(arg); |
asir_assert(q,O_QUOTE,"quote_is_function"); |
asir_assert(q,O_QUOTE,"qt_is_function"); |
if ( q->id == I_FUNC || q->id == I_IFUNC ) |
if ( q->id == I_FUNC || q->id == I_IFUNC ) |
ret = 1; |
ret = 1; |
else |
else |
Line 622 void Pquote_is_function(NODE arg,Q *rp) |
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Line 654 void Pquote_is_function(NODE arg,Q *rp) |
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STOQ(ret,*rp); |
STOQ(ret,*rp); |
} |
} |
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void Pquote_is_dependent(NODE arg,Q *rp) |
void Pqt_is_dependent(NODE arg,Q *rp) |
{ |
{ |
P x; |
P x; |
QUOTE q,v; |
QUOTE q,v; |
Line 631 void Pquote_is_dependent(NODE arg,Q *rp) |
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Line 663 void Pquote_is_dependent(NODE arg,Q *rp) |
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q = (QUOTE)ARG0(arg); |
q = (QUOTE)ARG0(arg); |
v = (QUOTE)ARG1(arg); |
v = (QUOTE)ARG1(arg); |
asir_assert(q,O_QUOTE,"quote_is_dependent"); |
asir_assert(q,O_QUOTE,"qt_is_dependent"); |
asir_assert(v,O_QUOTE,"quote_is_dependent"); |
asir_assert(v,O_QUOTE,"qt_is_dependent"); |
x = (P)eval(BDY(v)); |
x = (P)eval(BDY(v)); |
if ( !x || OID(x) != O_P ) |
if ( !x || OID(x) != O_P ) |
*rp = 0; |
*rp = 0; |
Line 642 void Pquote_is_dependent(NODE arg,Q *rp) |
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Line 674 void Pquote_is_dependent(NODE arg,Q *rp) |
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} |
} |
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void Pquote_match(NODE arg,Q *rp) |
void Pqt_match(NODE arg,Q *rp) |
{ |
{ |
FNODE f,g; |
FNODE f,g; |
Obj obj; |
Obj obj; |
Line 650 void Pquote_match(NODE arg,Q *rp) |
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Line 682 void Pquote_match(NODE arg,Q *rp) |
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NODE r; |
NODE r; |
int ret; |
int ret; |
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#if 0 |
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g = partial_eval(BDY(((QUOTE)ARG0(arg)))); |
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MKQUOTE(q,g); |
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ret = quote_match((Obj)q,(Obj)ARG1(arg),&r); |
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#else |
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obj = (Obj)ARG0(arg); |
obj = (Obj)ARG0(arg); |
ret = quote_match(obj,(Obj)ARG1(arg),&r); |
ret = qt_match(obj,(Obj)ARG1(arg),&r); |
#endif |
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if ( ret ) { |
if ( ret ) { |
do_assign(r); |
do_assign(r); |
*rp = ONE; |
*rp = ONE; |
Line 665 void Pquote_match(NODE arg,Q *rp) |
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Line 691 void Pquote_match(NODE arg,Q *rp) |
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*rp = 0; |
*rp = 0; |
} |
} |
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void Pnquote_match(NODE arg,Q *rp) |
void Pnqt_match(NODE arg,Q *rp) |
{ |
{ |
QUOTE fq,pq; |
QUOTE fq,pq; |
FNODE f,p; |
FNODE f,p; |
int ret; |
int ret; |
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Q mode; |
NODE r; |
NODE r; |
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fq = (QUOTE)ARG0(arg); Pquote_normalize(mknode(2,fq,0),&fq); f = (FNODE)BDY(fq); |
mode = argc(arg)==3 ? (Q)ARG2(arg) : 0; |
pq = (QUOTE)ARG1(arg); Pquote_normalize(mknode(2,pq,0),&pq); p = (FNODE)BDY(pq); |
fq = (QUOTE)ARG0(arg); Pqt_normalize(mknode(2,fq,mode),&fq); f = (FNODE)BDY(fq); |
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pq = (QUOTE)ARG1(arg); Pqt_normalize(mknode(2,pq,mode),&pq); p = (FNODE)BDY(pq); |
ret = nfnode_match(f,p,&r); |
ret = nfnode_match(f,p,&r); |
if ( ret ) { |
if ( ret ) { |
fnode_do_assign(r); |
fnode_do_assign(r); |
Line 682 void Pnquote_match(NODE arg,Q *rp) |
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Line 710 void Pnquote_match(NODE arg,Q *rp) |
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*rp = 0; |
*rp = 0; |
} |
} |
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FNODE rewrite_fnode(FNODE,NODE); |
void Pnqt_match_rewrite(NODE arg,Obj *rp) |
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{ |
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FNODE f,p,c,a,r; |
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Obj obj,pat,cond,action; |
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NODE rule; |
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QUOTE q; |
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Q mode; |
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int m; |
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extern Obj VOIDobj; |
obj = (Obj)ARG0(arg); |
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rule = BDY((LIST)ARG1(arg)); |
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mode = (Q)ARG2(arg); |
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if ( length(rule) == 2 ) { |
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pat = ARG0(rule); |
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cond = (Obj)ONE; |
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action = (Obj)ARG1(rule); |
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} else { |
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pat = ARG0(rule); |
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cond = ARG1(rule); |
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action = (Obj)ARG2(rule); |
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} |
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Pqt_normalize(mknode(2,obj,mode),&q); f = (FNODE)BDY(q); |
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Pqt_normalize(mknode(2,pat,mode),&q); p = (FNODE)BDY(q); |
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Pqt_normalize(mknode(2,action,mode),&q); |
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a = (FNODE)BDY(q); |
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if ( OID(cond) == O_QUOTE ) c = BDY((QUOTE)cond); |
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else c = mkfnode(1,I_FORMULA,ONE); |
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void Pquote_match_rewrite(NODE arg,Obj *rp) |
m = QTOS(mode); |
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r = nfnode_match_rewrite(f,p,c,a,m); |
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if ( r ) { |
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MKQUOTE(q,r); |
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*rp = (Obj)q; |
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} else |
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*rp = obj; |
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} |
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/* f is NARYOP => do submatch */ |
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#define PV_ANY 99999999 |
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FNODE nfnode_match_rewrite(FNODE f,FNODE p,FNODE c,FNODE a,int mode) |
{ |
{ |
FNODE f,g,h,c,value; |
ARF op; |
Obj obj; |
NODE arg,h0,t,h,valuen; |
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NODE r,s0,s,pair; |
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FNODE any,pany,head,tail,a1,a2; |
QUOTE q; |
QUOTE q; |
NODE r,t,s,s0,pair; |
int ret; |
int ret,ind,ac; |
FNODE value; |
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int ind; |
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obj = (Obj)ARG0(arg); |
if ( f->id == I_NARYOP ) { |
ret = quote_match(obj,(Obj)ARG1(arg),&r); |
op = (ARF)FA0(f); |
if ( ret ) { |
arg = (NODE)FA1(f); |
for ( t = r, s0 = 0; t; t = NEXT(t) ) { |
pany = 0; |
NEXTNODE(s0,s); |
for ( h0 = 0, t = arg; t; t = NEXT(t) ) { |
pair = BDY((LIST)BDY(t)); |
tail = fnode_node_to_nary(op,t); |
ind = (int)FA0((FNODE)BDY((QUOTE)BDY(pair))); |
ret = nfnode_match(tail,p,&r) && eval(rewrite_fnode(c,r,1)); |
value = BDY((QUOTE)(BDY(NEXT(pair)))); |
if ( ret ) break; |
BDY(s) = mknode(2,ind,value); |
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} |
/* append a variable to the pattern */ |
if ( s0 ) NEXT(s) = 0; |
if ( !pany ) { |
switch ( ac = argc(arg) ) { |
any = mkfnode(1,I_PVAR,PV_ANY); |
case 3: |
pany = mkfnode(3,I_BOP,op,p,any); |
h = rewrite_fnode(BDY((QUOTE)ARG2(arg)),s0); |
pany = fnode_normalize(pany,mode); |
MKQUOTE(q,h); *rp = (Obj)q; |
} |
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ret = nfnode_match(tail,pany,&r) && eval(rewrite_fnode(c,r,1)); |
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if ( ret ) { |
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a = fnode_normalize(mkfnode(3,I_BOP,op,a,any),mode); |
break; |
break; |
case 4: |
} |
c = rewrite_fnode(BDY((QUOTE)ARG2(arg)),s0); |
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if ( eval(c) ) { |
NEXTNODE(h0,h); |
h = rewrite_fnode(BDY((QUOTE)ARG3(arg)),s0); |
BDY(h) = BDY(t); |
MKQUOTE(q,h); *rp = (Obj)q; |
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} else |
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*rp = VOIDobj; |
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break; |
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default: |
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error("quote_match_rewrite : invalid argument"); |
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} |
} |
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if ( t ) { |
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if ( h0 ) NEXT(h) = 0; |
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head = fnode_node_to_nary(op,h0); |
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a = fnode_normalize(mkfnode(3,I_BOP,op,head,a),mode); |
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ret = 1; |
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} else |
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ret = 0; |
} else |
} else |
*rp = VOIDobj; |
ret = nfnode_match(f,p,&r) && eval(rewrite_fnode(c,r,1)); |
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if ( ret ) { |
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a1 = rewrite_fnode(a,r,0); |
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a2 = partial_eval(a1); |
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return fnode_normalize(a2,mode); |
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} else |
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return 0; |
} |
} |
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void do_assign(NODE arg) |
void do_assign(NODE arg) |
Line 799 int merge_matching_node(NODE n,NODE a,NODE *rp) |
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Line 878 int merge_matching_node(NODE n,NODE a,NODE *rp) |
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return 1; |
return 1; |
} |
} |
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int quote_match_node(NODE f,NODE pat,NODE *rp) { |
int qt_match_node(NODE f,NODE pat,NODE *rp) { |
NODE r,a,tf,tp,r1; |
NODE r,a,tf,tp,r1; |
int ret; |
int ret; |
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if ( length(f) != length(pat) ) return 0; |
if ( length(f) != length(pat) ) return 0; |
r = 0; |
r = 0; |
for ( tf = f, tp = pat; tf; tf = NEXT(tf), tp = NEXT(tp) ) { |
for ( tf = f, tp = pat; tf; tf = NEXT(tf), tp = NEXT(tp) ) { |
ret = quote_match((Obj)BDY(tf),(Obj)BDY(tp),&a); |
ret = qt_match((Obj)BDY(tf),(Obj)BDY(tp),&a); |
if ( !ret ) return 0; |
if ( !ret ) return 0; |
ret = merge_matching_node(r,a,&r1); |
ret = merge_matching_node(r,a,&r1); |
if ( !ret ) return 0; |
if ( !ret ) return 0; |
Line 818 int quote_match_node(NODE f,NODE pat,NODE *rp) { |
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Line 897 int quote_match_node(NODE f,NODE pat,NODE *rp) { |
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/* f = [a,b,c,...] pat = [X,Y,...] rpat matches the rest of f */ |
/* f = [a,b,c,...] pat = [X,Y,...] rpat matches the rest of f */ |
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int quote_match_cons(NODE f,NODE pat,Obj rpat,NODE *rp) { |
int qt_match_cons(NODE f,NODE pat,Obj rpat,NODE *rp) { |
QUOTE q; |
QUOTE q; |
Q id; |
Q id; |
FNODE fn; |
FNODE fn; |
Line 830 int quote_match_cons(NODE f,NODE pat,Obj rpat,NODE *rp |
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Line 909 int quote_match_cons(NODE f,NODE pat,Obj rpat,NODE *rp |
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if ( length(f) < length(pat) ) return 0; |
if ( length(f) < length(pat) ) return 0; |
r = 0; |
r = 0; |
for ( tf = f, tp = pat; tp; tf = NEXT(tf), tp = NEXT(tp) ) { |
for ( tf = f, tp = pat; tp; tf = NEXT(tf), tp = NEXT(tp) ) { |
ret = quote_match((Obj)BDY(tf),(Obj)BDY(tp),&a); |
ret = qt_match((Obj)BDY(tf),(Obj)BDY(tp),&a); |
if ( !ret ) return 0; |
if ( !ret ) return 0; |
ret = merge_matching_node(r,a,&r1); |
ret = merge_matching_node(r,a,&r1); |
if ( !ret ) return 0; |
if ( !ret ) return 0; |
Line 842 int quote_match_cons(NODE f,NODE pat,Obj rpat,NODE *rp |
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Line 921 int quote_match_cons(NODE f,NODE pat,Obj rpat,NODE *rp |
|
MKLIST(alist,a); |
MKLIST(alist,a); |
arg = mknode(1,alist); |
arg = mknode(1,alist); |
Pfunargs_to_quote(arg,&q); |
Pfunargs_to_quote(arg,&q); |
ret = quote_match((Obj)q,rpat,&a); |
ret = qt_match((Obj)q,rpat,&a); |
if ( !ret ) return 0; |
if ( !ret ) return 0; |
ret = merge_matching_node(r,a,&r1); |
ret = merge_matching_node(r,a,&r1); |
if ( !ret ) return 0; |
if ( !ret ) return 0; |
Line 861 void get_quote_id_arg(QUOTE f,int *id,NODE *r) |
|
Line 940 void get_quote_id_arg(QUOTE f,int *id,NODE *r) |
|
|
|
/* *rp : [[quote(A),quote(1)],...] */ |
/* *rp : [[quote(A),quote(1)],...] */ |
|
|
int quote_match(Obj f, Obj pat, NODE *rp) |
int qt_match(Obj f, Obj pat, NODE *rp) |
{ |
{ |
NODE tf,tp,head,body; |
NODE tf,tp,head,body; |
NODE parg,farg,r; |
NODE parg,farg,r; |
Line 880 int quote_match(Obj f, Obj pat, NODE *rp) |
|
Line 959 int quote_match(Obj f, Obj pat, NODE *rp) |
|
return 0; |
return 0; |
else if ( OID(pat) == O_LIST ) { |
else if ( OID(pat) == O_LIST ) { |
if ( OID(f) == O_LIST ) |
if ( OID(f) == O_LIST ) |
return quote_match_node(BDY((LIST)f),BDY((LIST)pat),rp); |
return qt_match_node(BDY((LIST)f),BDY((LIST)pat),rp); |
else |
else |
return 0; |
return 0; |
} else if ( OID(pat) == O_QUOTE ) { |
} else if ( OID(pat) == O_QUOTE ) { |
Line 907 int quote_match(Obj f, Obj pat, NODE *rp) |
|
Line 986 int quote_match(Obj f, Obj pat, NODE *rp) |
|
|
|
tp = BDY((LIST)BDY(parg)); |
tp = BDY((LIST)BDY(parg)); |
if ( pid == I_LIST ) |
if ( pid == I_LIST ) |
return quote_match_node(tf,tp,rp); |
return qt_match_node(tf,tp,rp); |
else { |
else { |
rpat = (Obj)BDY(NEXT(parg)); |
rpat = (Obj)BDY(NEXT(parg)); |
return quote_match_cons(tf,tp,rpat,rp); |
return qt_match_cons(tf,tp,rpat,rp); |
} |
} |
|
|
case I_PVAR: |
case I_PVAR: |
Line 926 int quote_match(Obj f, Obj pat, NODE *rp) |
|
Line 1005 int quote_match(Obj f, Obj pat, NODE *rp) |
|
if ( id == I_FUNC ) { |
if ( id == I_FUNC ) { |
r = mknode(2,BDY(parg),BDY(farg)); MKLIST(l,r); |
r = mknode(2,BDY(parg),BDY(farg)); MKLIST(l,r); |
head = mknode(1,l); |
head = mknode(1,l); |
ret = quote_match(BDY(NEXT(farg)), |
ret = qt_match(BDY(NEXT(farg)), |
BDY(NEXT(parg)),&body); |
BDY(NEXT(parg)),&body); |
if ( !ret ) return 0; |
if ( !ret ) return 0; |
else return merge_matching_node(head,body,rp); |
else return merge_matching_node(head,body,rp); |
Line 954 int quote_match(Obj f, Obj pat, NODE *rp) |
|
Line 1033 int quote_match(Obj f, Obj pat, NODE *rp) |
|
get_quote_id_arg((QUOTE)pat,&pid,&parg); |
get_quote_id_arg((QUOTE)pat,&pid,&parg); |
get_quote_id_arg((QUOTE)f,&id,&farg); |
get_quote_id_arg((QUOTE)f,&id,&farg); |
if ( compqa(CO,BDY(farg),BDY(parg)) ) return 0; |
if ( compqa(CO,BDY(farg),BDY(parg)) ) return 0; |
return quote_match_node(NEXT(farg),NEXT(parg),rp); |
return qt_match_node(NEXT(farg),NEXT(parg),rp); |
|
|
default: |
default: |
if ( OID(f) != O_QUOTE ) return 0; |
if ( OID(f) != O_QUOTE ) return 0; |
Line 962 int quote_match(Obj f, Obj pat, NODE *rp) |
|
Line 1041 int quote_match(Obj f, Obj pat, NODE *rp) |
|
if ( id != pid ) return 0; |
if ( id != pid ) return 0; |
get_quote_id_arg((QUOTE)pat,&pid,&parg); |
get_quote_id_arg((QUOTE)pat,&pid,&parg); |
get_quote_id_arg((QUOTE)f,&id,&farg); |
get_quote_id_arg((QUOTE)f,&id,&farg); |
return quote_match_node(farg,parg,rp); |
return qt_match_node(farg,parg,rp); |
} |
} |
} |
} |
} |
} |
Line 2029 void Pfunargs_to_quote(NODE arg,QUOTE *rp) |
|
Line 2108 void Pfunargs_to_quote(NODE arg,QUOTE *rp) |
|
MKQUOTE(*rp,f); |
MKQUOTE(*rp,f); |
} |
} |
|
|
FNODE fnode_apply(FNODE f,FNODE (*func)(),int expand); |
VL reordvars(VL vl0,NODE head) |
FNODE fnode_normalize(FNODE f,int expand); |
{ |
|
VL vl,svl,tvl; |
|
int i,j; |
|
NODE n; |
|
P t; |
|
V *va; |
|
V v; |
|
|
void Pquote_normalize(NODE arg,QUOTE *rp) |
for ( vl = 0, i = 0, n = head; n; n = NEXT(n), i++ ) { |
|
NEXTVL(vl,tvl); |
|
if ( !(t = (P)BDY(n)) || (OID(t) != O_P) ) |
|
error("reordvars : invalid argument"); |
|
VR(tvl) = VR(t); |
|
} |
|
va = (V *)ALLOCA(i*sizeof(V)); |
|
for ( j = 0, svl = vl; j < i; j++, svl = NEXT(svl) ) |
|
va[j] = VR(svl); |
|
for ( svl = vl0; svl; svl = NEXT(svl) ) { |
|
v = VR(svl); |
|
for ( j = 0; j < i; j++ ) |
|
if ( v == va[j] ) |
|
break; |
|
if ( j == i ) { |
|
NEXTVL(vl,tvl); |
|
VR(tvl) = v; |
|
} |
|
} |
|
if ( vl ) |
|
NEXT(tvl) = 0; |
|
return vl; |
|
} |
|
|
|
VL qt_current_ord; |
|
LIST qt_current_ord_obj; |
|
|
|
void Pqt_set_ord(NODE arg,LIST *rp) |
{ |
{ |
|
NODE r0,r; |
|
VL vl; |
|
P v; |
|
|
|
if ( !argc(arg) ) |
|
*rp = qt_current_ord_obj; |
|
else { |
|
qt_current_ord = reordvars(CO,BDY((LIST)ARG0(arg))); |
|
for ( r0 = 0, vl = qt_current_ord; vl; vl = NEXT(vl) ) { |
|
NEXTNODE(r0,r); MKV(vl->v,v); BDY(r) = v; |
|
} |
|
if ( r0 ) NEXT(r) = 0; |
|
MKLIST(*rp,r0); |
|
qt_current_ord_obj = *rp; |
|
} |
|
} |
|
|
|
void Pqt_normalize(NODE arg,QUOTE *rp) |
|
{ |
QUOTE q,r; |
QUOTE q,r; |
FNODE f; |
FNODE f; |
int expand,ac; |
int expand,ac; |
|
|
ac = argc(arg); |
ac = argc(arg); |
if ( !ac ) error("quote_normalize : invalid argument"); |
if ( !ac ) error("qt_normalize : invalid argument"); |
q = (QUOTE)ARG0(arg); |
q = (QUOTE)ARG0(arg); |
expand = ac==2 && ARG1(arg); |
if ( ac == 2 ) |
|
expand = QTOS((Q)ARG1(arg)); |
if ( !q || OID(q) != O_QUOTE ) |
if ( !q || OID(q) != O_QUOTE ) |
*rp = q; |
*rp = q; |
else { |
else { |
Line 2053 void Pquote_normalize(NODE arg,QUOTE *rp) |
|
Line 2185 void Pquote_normalize(NODE arg,QUOTE *rp) |
|
|
|
NBP fnode_to_nbp(FNODE f); |
NBP fnode_to_nbp(FNODE f); |
|
|
void Pquote_to_nbp(NODE arg,NBP *rp) |
void Pqt_to_nbp(NODE arg,NBP *rp) |
{ |
{ |
QUOTE q; |
QUOTE q; |
FNODE f; |
FNODE f; |
Line 2063 void Pquote_to_nbp(NODE arg,NBP *rp) |
|
Line 2195 void Pquote_to_nbp(NODE arg,NBP *rp) |
|
*rp = fnode_to_nbp(f); |
*rp = fnode_to_nbp(f); |
} |
} |
|
|
void Pshuffle_mul_nbp(NODE arg,NBP *rp) |
void Pshuffle_mul(NODE arg,NBP *rp) |
{ |
{ |
NBP p1,p2; |
NBP p1,p2; |
|
|
Line 2072 void Pshuffle_mul_nbp(NODE arg,NBP *rp) |
|
Line 2204 void Pshuffle_mul_nbp(NODE arg,NBP *rp) |
|
shuffle_mulnbp(CO,p1,p2,rp); |
shuffle_mulnbp(CO,p1,p2,rp); |
} |
} |
|
|
void Pharmonic_mul_nbp(NODE arg,NBP *rp) |
void Pharmonic_mul(NODE arg,NBP *rp) |
{ |
{ |
NBP p1,p2; |
NBP p1,p2; |
|
|
Line 2081 void Pharmonic_mul_nbp(NODE arg,NBP *rp) |
|
Line 2213 void Pharmonic_mul_nbp(NODE arg,NBP *rp) |
|
harmonic_mulnbp(CO,p1,p2,rp); |
harmonic_mulnbp(CO,p1,p2,rp); |
} |
} |
|
|
|
void Pnbp_hm(NODE arg, NBP *rp) |
|
{ |
|
NBP p; |
|
NODE n; |
|
NBM m; |
|
|
|
p = (NBP)ARG0(arg); |
|
if ( !p ) *rp = 0; |
|
else { |
|
m = (NBM)BDY(BDY(p)); |
|
MKNODE(n,m,0); |
|
MKNBP(*rp,n); |
|
} |
|
} |
|
|
|
void Pnbp_ht(NODE arg, NBP *rp) |
|
{ |
|
NBP p; |
|
NODE n; |
|
NBM m,m1; |
|
|
|
p = (NBP)ARG0(arg); |
|
if ( !p ) *rp = 0; |
|
else { |
|
m = (NBM)BDY(BDY(p)); |
|
NEWNBM(m1); |
|
m1->d = m->d; m1->c = ONE; m1->b = m->b; |
|
MKNODE(n,m1,0); |
|
MKNBP(*rp,n); |
|
} |
|
} |
|
|
|
void Pnbp_hc(NODE arg, Q *rp) |
|
{ |
|
NBP p; |
|
NBM m; |
|
|
|
p = (NBP)ARG0(arg); |
|
if ( !p ) *rp = 0; |
|
else { |
|
m = (NBM)BDY(BDY(p)); |
|
*rp = m->c; |
|
} |
|
} |
|
|
|
void Pnbp_rest(NODE arg, NBP *rp) |
|
{ |
|
NBP p; |
|
NODE n; |
|
|
|
p = (NBP)ARG0(arg); |
|
if ( !p ) *rp = 0; |
|
else { |
|
n = BDY(p); |
|
if ( !NEXT(n) ) *rp = 0; |
|
else |
|
MKNBP(*rp,NEXT(n)); |
|
} |
|
} |
|
|
|
void Pnbm_deg(NODE arg, Q *rp) |
|
{ |
|
NBP p; |
|
NBM m; |
|
|
|
p = (NBP)ARG0(arg); |
|
if ( !p ) |
|
STOQ(-1,*rp); |
|
else { |
|
m = (NBM)BDY(BDY(p)); |
|
STOQ(m->d,*rp); |
|
} |
|
} |
|
|
|
void Pnbm_hp_rest(NODE arg, LIST *rp) |
|
{ |
|
NBP p,h,r; |
|
NBM m,m1; |
|
NODE n; |
|
int *b,*b1; |
|
int d,d1,v,i,j,k; |
|
|
|
p = (NBP)ARG0(arg); |
|
if ( !p ) |
|
MKLIST(*rp,0); |
|
else { |
|
m = (NBM)BDY(BDY(p)); |
|
b = m->b; d = m->d; |
|
if ( !d ) |
|
MKLIST(*rp,0); |
|
else { |
|
v = NBM_GET(b,0); |
|
for ( i = 1; i < d; i++ ) |
|
if ( NBM_GET(b,i) != v ) break; |
|
NEWNBM(m1); NEWNBMBDY(m1,i); |
|
b1 = m1->b; m1->d = i; m1->c = ONE; |
|
if ( v ) for ( j = 0; j < i; j++ ) NBM_SET(b1,j); |
|
else for ( j = 0; j < i; j++ ) NBM_CLR(b1,j); |
|
MKNODE(n,m1,0); MKNBP(h,n); |
|
|
|
d1 = d-i; |
|
NEWNBM(m1); NEWNBMBDY(m1,d1); |
|
b1 = m1->b; m1->d = d1; m1->c = ONE; |
|
for ( j = 0, k = i; j < d1; j++, k++ ) |
|
if ( NBM_GET(b,k) ) NBM_SET(b1,j); |
|
else NBM_CLR(b1,j); |
|
MKNODE(n,m1,0); MKNBP(r,n); |
|
n = mknode(2,h,r); |
|
MKLIST(*rp,n); |
|
} |
|
} |
|
} |
|
|
|
void Pnbm_hxky(NODE arg, LIST *rp) |
|
{ |
|
NBP p; |
|
|
|
p = (NBP)ARG0(arg); |
|
if ( !p ) |
|
*rp = 0; |
|
else |
|
separate_xky_nbm((NBM)BDY(BDY(p)),0,rp,0); |
|
} |
|
|
|
void Pnbm_xky_rest(NODE arg,NBP *rp) |
|
{ |
|
NBP p; |
|
|
|
p = (NBP)ARG0(arg); |
|
if ( !p ) |
|
*rp = 0; |
|
else |
|
separate_xky_nbm((NBM)BDY(BDY(p)),0,0,rp); |
|
} |
|
|
|
void Pnbm_hv(NODE arg, NBP *rp) |
|
{ |
|
NBP p; |
|
|
|
p = (NBP)ARG0(arg); |
|
if ( !p ) |
|
*rp = 0; |
|
else |
|
separate_nbm((NBM)BDY(BDY(p)),0,rp,0); |
|
} |
|
|
|
void Pnbm_rest(NODE arg, NBP *rp) |
|
{ |
|
NBP p; |
|
|
|
p = (NBP)ARG0(arg); |
|
if ( !p ) |
|
*rp = 0; |
|
else |
|
separate_nbm((NBM)BDY(BDY(p)),0,0,rp); |
|
} |
|
|
NBP fnode_to_nbp(FNODE f) |
NBP fnode_to_nbp(FNODE f) |
{ |
{ |
Q r; |
Q r; |
Line 2126 NBP fnode_to_nbp(FNODE f) |
|
Line 2414 NBP fnode_to_nbp(FNODE f) |
|
} |
} |
} |
} |
|
|
void Pnquote_comp(NODE arg,Q *rp) |
void Pnqt_comp(NODE arg,Q *rp) |
{ |
{ |
QUOTE q1,q2; |
QUOTE q1,q2; |
FNODE f1,f2; |
FNODE f1,f2; |
Line 2284 int fnode_is_dependent(FNODE f,V v) |
|
Line 2572 int fnode_is_dependent(FNODE f,V v) |
|
} |
} |
} |
} |
|
|
FNODE nfnode_add(FNODE a1,FNODE a2,int expand); |
|
FNODE nfnode_mul(FNODE a1,FNODE a2,int expand); |
|
FNODE nfnode_pwr(FNODE a1,FNODE a2,int expand); |
|
FNODE nfnode_mul_coef(Num c,FNODE f,int expand); |
|
FNODE fnode_expand_pwr(FNODE f,int n); |
|
FNODE to_narymul(FNODE f); |
|
FNODE to_naryadd(FNODE f); |
|
FNODE fnode_node_to_naryadd(NODE n); |
|
FNODE fnode_node_to_narymul(NODE n); |
|
void fnode_base_exp(FNODE f,FNODE *bp,FNODE *ep); |
|
void fnode_coef_body(FNODE f,Num *cp,FNODE *bp); |
|
|
|
|
|
FNODE fnode_normalize(FNODE f,int expand) |
FNODE fnode_normalize(FNODE f,int expand) |
{ |
{ |
FNODE a1,a2,mone,r,b2; |
FNODE a1,a2,mone,r,b2; |
NODE n; |
NODE n; |
Q q; |
Q q; |
|
|
if ( f->normalized && (f->expanded || !expand) ) return f; |
if ( f->normalized && (f->expanded == expand) ) return f; |
STOQ(-1,q); |
STOQ(-1,q); |
mone = mkfnode(1,I_FORMULA,q); |
mone = mkfnode(1,I_FORMULA,q); |
switch ( f->id ) { |
switch ( f->id ) { |
Line 2442 FNODE nfnode_add(FNODE f1,FNODE f2,int expand) |
|
Line 2718 FNODE nfnode_add(FNODE f1,FNODE f2,int expand) |
|
else if ( r0 ) |
else if ( r0 ) |
NEXT(r) = 0; |
NEXT(r) = 0; |
|
|
return fnode_node_to_naryadd(r0); |
return fnode_node_to_nary(addfs,r0); |
} |
} |
|
|
FNODE fnode_node_to_naryadd(NODE n) |
FNODE fnode_node_to_nary(ARF op,NODE n) |
{ |
{ |
if ( !n ) return mkfnode(1,I_FORMULA,0); |
if ( !n ) { |
else if ( !NEXT(n) ) return BDY(n); |
if ( op->name[0] == '+' ) |
else return mkfnode(2,I_NARYOP,addfs,n); |
return mkfnode(1,I_FORMULA,0); |
|
else |
|
return mkfnode(1,I_FORMULA,ONE); |
|
} else if ( !NEXT(n) ) return BDY(n); |
|
else return mkfnode(2,I_NARYOP,op,n); |
} |
} |
|
|
FNODE fnode_node_to_narymul(NODE n) |
|
{ |
|
if ( !n ) return mkfnode(1,I_FORMULA,ONE); |
|
else if ( !NEXT(n) ) return BDY(n); |
|
else return mkfnode(2,I_NARYOP,mulfs,n); |
|
} |
|
|
|
FNODE nfnode_mul(FNODE f1,FNODE f2,int expand) |
FNODE nfnode_mul(FNODE f1,FNODE f2,int expand) |
{ |
{ |
NODE n1,n2,r0,r,r1; |
NODE n1,n2,r0,r,r1; |
Line 2501 FNODE nfnode_mul(FNODE f1,FNODE f2,int expand) |
|
Line 2774 FNODE nfnode_mul(FNODE f1,FNODE f2,int expand) |
|
m = (FNODE *)ALLOCA(l*sizeof(FNODE)); |
m = (FNODE *)ALLOCA(l*sizeof(FNODE)); |
for ( r = n1, i = 0; i < l1; r = NEXT(r), i++ ) m[i] = BDY(r); |
for ( r = n1, i = 0; i < l1; r = NEXT(r), i++ ) m[i] = BDY(r); |
for ( r = n2; r; r = NEXT(r) ) { |
for ( r = n2; r; r = NEXT(r) ) { |
if ( i == 0 ) |
if ( i == 0 || (expand == 2) ) |
m[i++] = BDY(r); |
m[i++] = BDY(r); |
else { |
else { |
fnode_base_exp(m[i-1],&b1,&e1); fnode_base_exp(BDY(r),&b2,&e2); |
fnode_base_exp(m[i-1],&b1,&e1); fnode_base_exp(BDY(r),&b2,&e2); |
Line 2520 FNODE nfnode_mul(FNODE f1,FNODE f2,int expand) |
|
Line 2793 FNODE nfnode_mul(FNODE f1,FNODE f2,int expand) |
|
if ( !UNIQ(c) ) { |
if ( !UNIQ(c) ) { |
cc = mkfnode(1,I_FORMULA,c); MKNODE(r1,cc,r); r = r1; |
cc = mkfnode(1,I_FORMULA,c); MKNODE(r1,cc,r); r = r1; |
} |
} |
return fnode_node_to_narymul(r); |
return fnode_node_to_nary(mulfs,r); |
} |
} |
|
|
FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand) |
FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand) |
Line 2557 FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand) |
|
Line 2830 FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand) |
|
ee = QTOS((Q)nf2); |
ee = QTOS((Q)nf2); |
cc = mkfnode(1,I_FORMULA,c); |
cc = mkfnode(1,I_FORMULA,c); |
if ( fnode_is_nonnegative_integer(f2) ) |
if ( fnode_is_nonnegative_integer(f2) ) |
b = fnode_expand_pwr(b1,ee); |
b = fnode_expand_pwr(b1,ee,expand); |
else { |
else { |
STOQ(-1,q); |
STOQ(-1,q); |
mone = mkfnode(1,I_FORMULA,q); |
mone = mkfnode(1,I_FORMULA,q); |
Line 2566 FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand) |
|
Line 2839 FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand) |
|
inv = mkfnode(3,I_BOP,pwrfs,BDY(n),mone); |
inv = mkfnode(3,I_BOP,pwrfs,BDY(n),mone); |
MKNODE(t1,inv,t0); t0 = t1; |
MKNODE(t1,inv,t0); t0 = t1; |
} |
} |
b1 = fnode_node_to_narymul(t0); |
b1 = fnode_node_to_nary(mulfs,t0); |
b = fnode_expand_pwr(b1,-ee); |
b = fnode_expand_pwr(b1,-ee,expand); |
} |
} |
if ( fnode_is_one(cc) ) |
if ( fnode_is_one(cc) ) |
return b; |
return b; |
else |
else |
return fnode_node_to_narymul(mknode(2,cc,b)); |
return fnode_node_to_nary(mulfs,mknode(2,cc,b)); |
} else if ( expand && fnode_is_integer(f2) |
} else if ( expand && fnode_is_integer(f2) |
&& fnode_is_nonnegative_integer(f2) ) { |
&& fnode_is_nonnegative_integer(f2) ) { |
q = (Q)eval(f2); |
q = (Q)eval(f2); |
if ( PL(NM(q)) > 1 ) error("nfnode_pwr : exponent too large"); |
if ( PL(NM(q)) > 1 ) error("nfnode_pwr : exponent too large"); |
return fnode_expand_pwr(f1,QTOS(q)); |
return fnode_expand_pwr(f1,QTOS(q),expand); |
} else |
} else |
return mkfnode(3,I_BOP,pwrfs,f1,f2); |
return mkfnode(3,I_BOP,pwrfs,f1,f2); |
} |
} |
|
|
FNODE fnode_expand_pwr(FNODE f,int n) |
FNODE fnode_expand_pwr(FNODE f,int n,int expand) |
{ |
{ |
int n1; |
int n1,i; |
FNODE f1,f2; |
FNODE f1,f2,fn; |
|
Q q; |
|
|
if ( !n ) return mkfnode(1,I_FORMULA,ONE); |
if ( !n ) return mkfnode(1,I_FORMULA,ONE); |
else if ( IS_ZERO(f) ) return mkfnode(1,I_FORMULA,0); |
else if ( IS_ZERO(f) ) return mkfnode(1,I_FORMULA,0); |
else if ( n == 1 ) return f; |
else if ( n == 1 ) return f; |
else { |
else { |
n1 = n/2; |
switch ( expand ) { |
f1 = fnode_expand_pwr(f,n1); |
case 1: |
f2 = nfnode_mul(f1,f1,1); |
n1 = n/2; |
if ( n%2 ) f2 = nfnode_mul(f2,f,1); |
f1 = fnode_expand_pwr(f,n1,expand); |
return f2; |
f2 = nfnode_mul(f1,f1,expand); |
|
if ( n%2 ) f2 = nfnode_mul(f2,f,1); |
|
return f2; |
|
case 2: |
|
for ( i = 1, f1 = f; i < n; i++ ) |
|
f1 = nfnode_mul(f1,f,expand); |
|
return f1; |
|
case 0: default: |
|
STOQ(n,q); |
|
fn = mkfnode(1,I_FORMULA,q); |
|
return mkfnode(3,I_BOP,pwrfs,f,fn); |
|
} |
} |
} |
} |
} |
|
|
Line 2654 FNODE nfnode_mul_coef(Num c,FNODE f,int expand) |
|
Line 2939 FNODE nfnode_mul_coef(Num c,FNODE f,int expand) |
|
return cc; |
return cc; |
} else if ( IS_NARYMUL(b1) ) { |
} else if ( IS_NARYMUL(b1) ) { |
MKNODE(n,cc,FA1(b1)); |
MKNODE(n,cc,FA1(b1)); |
return fnode_node_to_narymul(n); |
return fnode_node_to_nary(mulfs,n); |
} else if ( expand && IS_NARYADD(b1) ) { |
} else if ( expand && IS_NARYADD(b1) ) { |
for ( r0 = 0, n = (NODE)FA1(b1); n; n = NEXT(n) ) { |
for ( r0 = 0, n = (NODE)FA1(b1); n; n = NEXT(n) ) { |
NEXTNODE(r0,r); |
NEXTNODE(r0,r); |
BDY(r) = nfnode_mul_coef(c2,BDY(n),expand); |
BDY(r) = nfnode_mul_coef(c2,BDY(n),expand); |
} |
} |
if ( r0 ) NEXT(r) = 0; |
if ( r0 ) NEXT(r) = 0; |
return fnode_node_to_naryadd(r0); |
return fnode_node_to_nary(addfs,r0); |
} else |
} else |
return fnode_node_to_narymul(mknode(2,cc,b1)); |
return fnode_node_to_nary(mulfs,mknode(2,cc,b1)); |
} |
} |
} |
} |
} |
} |
Line 2678 void fnode_coef_body(FNODE f,Num *cp,FNODE *bp) |
|
Line 2963 void fnode_coef_body(FNODE f,Num *cp,FNODE *bp) |
|
c=(FNODE)BDY((NODE)FA1(f)); |
c=(FNODE)BDY((NODE)FA1(f)); |
if ( fnode_is_number(c) ) { |
if ( fnode_is_number(c) ) { |
*cp = eval(c); |
*cp = eval(c); |
*bp = fnode_node_to_narymul(NEXT((NODE)FA1(f))); |
*bp = fnode_node_to_nary(mulfs,NEXT((NODE)FA1(f))); |
} else { |
} else { |
*cp = (Num)ONE; *bp = f; |
*cp = (Num)ONE; *bp = f; |
} |
} |
Line 2754 int nfnode_comp(FNODE f1,FNODE f2) |
|
Line 3039 int nfnode_comp(FNODE f1,FNODE f2) |
|
return nfnode_comp_pwr(f1,f2); |
return nfnode_comp_pwr(f1,f2); |
|
|
/* now, IDs of f1 and f2 must be I_FORMULA, I_FUNC, I_IFUNC or I_PVAR */ |
/* now, IDs of f1 and f2 must be I_FORMULA, I_FUNC, I_IFUNC or I_PVAR */ |
/* I_IFUNC > I_PVAR > I_FUNC > I_FORMULA */ |
/* I_IFUNC > I_PVAR > I_FUNC=I_FUNC_QARG > I_FORMULA */ |
switch ( f1->id ) { |
switch ( f1->id ) { |
case I_FORMULA: |
case I_FORMULA: |
switch ( f2->id ) { |
switch ( f2->id ) { |
case I_FORMULA: |
case I_FORMULA: |
return arf_comp(CO,FA0(f1),FA0(f2)); |
return arf_comp(qt_current_ord?qt_current_ord:CO,FA0(f1),FA0(f2)); |
case I_FUNC: case I_IFUNC: case I_PVAR: |
case I_FUNC: case I_IFUNC: case I_PVAR: |
return -1; |
return -1; |
default: |
default: |
error("nfnode_comp : undefined"); |
error("nfnode_comp : undefined"); |
} |
} |
break; |
break; |
case I_FUNC: |
case I_FUNC: case I_FUNC_QARG: |
switch ( f2->id ) { |
switch ( f2->id ) { |
case I_FORMULA: |
case I_FORMULA: |
return 1; |
return 1; |
case I_PVAR: case I_IFUNC: |
case I_PVAR: case I_IFUNC: |
return -1; |
return -1; |
case I_FUNC: |
case I_FUNC: case I_FUNC_QARG: |
nm1 = ((FUNC)FA0(f1))->name; nm2 = ((FUNC)FA0(f2))->name; |
nm1 = ((FUNC)FA0(f1))->name; nm2 = ((FUNC)FA0(f2))->name; |
r = strcmp(nm1,nm2); |
r = strcmp(nm1,nm2); |
if ( r > 0 ) return 1; |
if ( r > 0 ) return 1; |
Line 2793 int nfnode_comp(FNODE f1,FNODE f2) |
|
Line 3078 int nfnode_comp(FNODE f1,FNODE f2) |
|
} |
} |
case I_PVAR: |
case I_PVAR: |
switch ( f2->id ) { |
switch ( f2->id ) { |
case I_FORMULA: case I_FUNC: |
case I_FORMULA: case I_FUNC: case I_FUNC_QARG: |
return 1; |
return 1; |
case I_IFUNC: |
case I_IFUNC: |
return -1; |
return -1; |
Line 2808 int nfnode_comp(FNODE f1,FNODE f2) |
|
Line 3093 int nfnode_comp(FNODE f1,FNODE f2) |
|
break; |
break; |
case I_IFUNC: |
case I_IFUNC: |
switch ( f2->id ) { |
switch ( f2->id ) { |
case I_FORMULA: case I_FUNC: case I_PVAR: |
case I_FORMULA: case I_FUNC: case I_FUNC_QARG: case I_PVAR: |
return 1; |
return 1; |
case I_IFUNC: |
case I_IFUNC: |
i1 = (int)FA0((FNODE)FA0(f1)); |
i1 = (int)FA0((FNODE)FA0(f1)); |
Line 2886 int nfnode_match(FNODE f,FNODE pat,NODE *rp) |
|
Line 3171 int nfnode_match(FNODE f,FNODE pat,NODE *rp) |
|
switch ( pat->id ) { |
switch ( pat->id ) { |
case I_PVAR: |
case I_PVAR: |
/* [[pat,f]] */ |
/* [[pat,f]] */ |
*rp = mknode(1,mknode(2,(int)FA0(pat),f),0); |
*rp = mknode(1,mknode(2,(int)FA0(pat),f)); |
return 1; |
return 1; |
|
|
case I_FORMULA: |
case I_FORMULA: |
Line 2905 int nfnode_match(FNODE f,FNODE pat,NODE *rp) |
|
Line 3190 int nfnode_match(FNODE f,FNODE pat,NODE *rp) |
|
fbase = f; fexp = mkfnode(1,I_FORMULA,ONE); |
fbase = f; fexp = mkfnode(1,I_FORMULA,ONE); |
} |
} |
if ( !nfnode_match(fbase,FA1(pat),&base) ) return 0; |
if ( !nfnode_match(fbase,FA1(pat),&base) ) return 0; |
a = rewrite_fnode(FA2(pat),base); |
a = rewrite_fnode(FA2(pat),base,0); |
if ( !nfnode_match(fexp,a,&exp) ) return 0; |
if ( !nfnode_match(fexp,a,&exp) ) return 0; |
else { |
else { |
*rp = append_node(base,exp); |
*rp = append_node(base,exp); |
Line 2929 int nfnode_match(FNODE f,FNODE pat,NODE *rp) |
|
Line 3214 int nfnode_match(FNODE f,FNODE pat,NODE *rp) |
|
fa = (NODE)FA0((FNODE)FA1(f)); |
fa = (NODE)FA0((FNODE)FA1(f)); |
pa = (NODE)FA0((FNODE)FA1(pat)); |
pa = (NODE)FA0((FNODE)FA1(pat)); |
while ( fa && pa ) { |
while ( fa && pa ) { |
a = rewrite_fnode(BDY(pa),m); |
a = rewrite_fnode(BDY(pa),m,0); |
if ( !nfnode_match(BDY(fa),a,&m1) ) return 0; |
if ( !nfnode_match(BDY(fa),a,&m1) ) return 0; |
m = append_node(m1,m); |
m = append_node(m1,m); |
fa = NEXT(fa); pa = NEXT(pa); |
fa = NEXT(fa); pa = NEXT(pa); |
Line 2965 FNODE fnode_removeith_naryadd(FNODE p,int i) |
|
Line 3250 FNODE fnode_removeith_naryadd(FNODE p,int i) |
|
l = length(a); |
l = length(a); |
if ( i < 0 || i >= l ) error("fnode_removeith_naryadd: invalid index"); |
if ( i < 0 || i >= l ) error("fnode_removeith_naryadd: invalid index"); |
else if ( i == 0 ) |
else if ( i == 0 ) |
return fnode_node_to_naryadd(NEXT(a)); |
return fnode_node_to_nary(addfs,NEXT(a)); |
else { |
else { |
for ( r0 = 0, k = 0, t = a; k < i; k++, t = NEXT(t) ) { |
for ( r0 = 0, k = 0, t = a; k < i; k++, t = NEXT(t) ) { |
NEXTNODE(r0,r); |
NEXTNODE(r0,r); |
BDY(r) = BDY(t); |
BDY(r) = BDY(t); |
} |
} |
NEXT(r) = NEXT(t); |
NEXT(r) = NEXT(t); |
return fnode_node_to_naryadd(r0); |
return fnode_node_to_nary(addfs,r0); |
} |
} |
|
|
} |
} |
Line 2994 FNODE fnode_left_narymul(FNODE p,int i) |
|
Line 3279 FNODE fnode_left_narymul(FNODE p,int i) |
|
BDY(r) = BDY(t); |
BDY(r) = BDY(t); |
} |
} |
NEXT(r) = 0; |
NEXT(r) = 0; |
return fnode_node_to_narymul(r0); |
return fnode_node_to_nary(mulfs,r0); |
} |
} |
} |
} |
|
|
Line 3010 FNODE fnode_right_narymul(FNODE p,int i) |
|
Line 3295 FNODE fnode_right_narymul(FNODE p,int i) |
|
if ( i == l-1 ) return 0; |
if ( i == l-1 ) return 0; |
else { |
else { |
for ( k = 0, t = a; k <= i; k++, t = NEXT(t) ); |
for ( k = 0, t = a; k <= i; k++, t = NEXT(t) ); |
return fnode_node_to_narymul(t); |
return fnode_node_to_nary(mulfs,t); |
} |
} |
} |
} |
|
|
Line 3052 int nfnode_match_naryadd(FNODE f,FNODE p,NODE *rp) |
|
Line 3337 int nfnode_match_naryadd(FNODE f,FNODE p,NODE *rp) |
|
for ( s = fa, fi = 0; s; s = NEXT(s), fi++ ) { |
for ( s = fa, fi = 0; s; s = NEXT(s), fi++ ) { |
if ( nfnode_match(BDY(s),pivot,&m) ) { |
if ( nfnode_match(BDY(s),pivot,&m) ) { |
fr = fnode_removeith_naryadd(f,fi); |
fr = fnode_removeith_naryadd(f,fi); |
prr = rewrite_fnode(pr,m); |
prr = rewrite_fnode(pr,m,0); |
if ( nfnode_match(fr,prr,&m1) ) { |
if ( nfnode_match(fr,prr,&m1) ) { |
*rp = append_node(m,m1); |
*rp = append_node(m,m1); |
return 1; |
return 1; |
Line 3086 int nfnode_match_narymul(FNODE f,FNODE p,NODE *rp) |
|
Line 3371 int nfnode_match_narymul(FNODE f,FNODE p,NODE *rp) |
|
/* all are I_PVAR */ |
/* all are I_PVAR */ |
m = 0; |
m = 0; |
for ( t = pa, s = fa; NEXT(t); t = NEXT(t), s = NEXT(s) ) { |
for ( t = pa, s = fa; NEXT(t); t = NEXT(t), s = NEXT(s) ) { |
pr = rewrite_fnode(BDY(t),m); |
pr = rewrite_fnode(BDY(t),m,0); |
if ( !nfnode_match(BDY(s),pr,&m1) ) return 0; |
if ( !nfnode_match(BDY(s),pr,&m1) ) return 0; |
m = append_node(m1,m); |
m = append_node(m1,m); |
} |
} |
Line 3094 int nfnode_match_narymul(FNODE f,FNODE p,NODE *rp) |
|
Line 3379 int nfnode_match_narymul(FNODE f,FNODE p,NODE *rp) |
|
fr = (FNODE)BDY(s); |
fr = (FNODE)BDY(s); |
else |
else |
fr = mkfnode(2,I_NARYOP,FA0(f),s); |
fr = mkfnode(2,I_NARYOP,FA0(f),s); |
pr = rewrite_fnode(BDY(t),m); |
pr = rewrite_fnode(BDY(t),m,0); |
if ( !nfnode_match(fr,pr,&m1) ) return 0; |
if ( !nfnode_match(fr,pr,&m1) ) return 0; |
*rp = append_node(m1,m); |
*rp = append_node(m1,m); |
return 1; |
return 1; |
Line 3107 int nfnode_match_narymul(FNODE f,FNODE p,NODE *rp) |
|
Line 3392 int nfnode_match_narymul(FNODE f,FNODE p,NODE *rp) |
|
if ( fi < pi ) continue; |
if ( fi < pi ) continue; |
if ( nfnode_match(BDY(s),pivot,&m) ) { |
if ( nfnode_match(BDY(s),pivot,&m) ) { |
fleft = fnode_left_narymul(f,fi); |
fleft = fnode_left_narymul(f,fi); |
pleft1 = rewrite_fnode(pleft,m); |
pleft1 = rewrite_fnode(pleft,m,0); |
if ( nfnode_match(fleft,pleft1,&m1) ) { |
if ( nfnode_match(fleft,pleft1,&m1) ) { |
m = append_node(m1,m); |
m = append_node(m1,m); |
fright = fnode_right_narymul(f,fi); |
fright = fnode_right_narymul(f,fi); |
pright1 = rewrite_fnode(pright,m); |
pright1 = rewrite_fnode(pright,m,0); |
if ( nfnode_match(fright,pright1,&m1) ) { |
if ( nfnode_match(fright,pright1,&m1) ) { |
*rp = append_node(m1,m); |
*rp = append_node(m1,m); |
return 1; |
return 1; |