version 1.47, 2004/07/07 07:40:19 |
version 1.120, 2010/04/23 06:53:30 |
|
|
* 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 1.46 2004/03/25 01:56:00 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/strobj.c,v 1.119 2008/09/04 01:42:25 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "parse.h" |
#include "parse.h" |
Line 58 extern jmp_buf environnement; |
|
Line 58 extern jmp_buf environnement; |
|
#endif |
#endif |
#include <string.h> |
#include <string.h> |
|
|
|
#if defined(__GNUC__) |
|
#define INLINE inline |
|
#elif defined(VISUAL) |
|
#define INLINE __inline |
|
#else |
|
#define INLINE |
|
#endif |
|
|
struct TeXSymbol { |
struct TeXSymbol { |
char *text; |
char *text; |
char *symbol; |
char *symbol; |
}; |
}; |
|
|
|
#define OPNAME(f) (((ARF)FA0(f))->name[0]) |
|
#define IS_ZERO(f) (((f)->id==I_FORMULA) && FA0(f)==0 ) |
|
#define IS_BINARYPWR(f) (((f)->id==I_BOP) &&(OPNAME(f)=='^')) |
|
#define IS_NARYADD(f) (((f)->id==I_NARYOP) &&(OPNAME(f)=='+')) |
|
#define IS_NARYMUL(f) (((f)->id==I_NARYOP) &&(OPNAME(f)=='*')) |
|
#define IS_MUL(f) (((f)->id==I_NARYOP||(f)->id==I_BOP) &&(OPNAME(f)=='*')) |
|
|
extern char *parse_strp; |
extern char *parse_strp; |
|
|
|
void Psprintf(); |
void Prtostr(), Pstrtov(), Peval_str(); |
void Prtostr(), Pstrtov(), Peval_str(); |
void Pstrtoascii(), Pasciitostr(); |
void Pstrtoascii(), Pasciitostr(); |
void Pstr_len(), Pstr_chr(), Psub_str(); |
void Pstr_len(), Pstr_chr(), Psub_str(); |
Line 76 void Pquotetotex_tb(); |
|
Line 92 void Pquotetotex_tb(); |
|
void Pquotetotex(); |
void Pquotetotex(); |
void Pquotetotex_env(); |
void Pquotetotex_env(); |
void Pflatten_quote(); |
void Pflatten_quote(); |
|
|
|
void Pqt_is_integer(),Pqt_is_rational(),Pqt_is_number(),Pqt_is_coef(); |
|
void Pqt_is_dependent(),Pqt_is_function(),Pqt_is_var(); |
|
void Pqt_set_ord(),Pqt_set_coef(),Pqt_set_weight(); |
|
void Pqt_normalize(); |
|
void Pnqt_comp(),Pnqt_weight(); |
|
void Pnqt_match(); |
|
void Pnqt_match_rewrite(); |
|
|
|
void Pqt_to_nbp(); |
|
void Pshuffle_mul(), Pharmonic_mul(); |
|
void Pnbp_hm(), Pnbp_ht(), Pnbp_hc(), Pnbp_rest(); |
|
void Pnbp_tm(), Pnbp_tt(), Pnbp_tc(), Pnbp_trest(); |
|
void Pnbm_deg(), Pnbm_index(); |
|
void Pnbm_hp_rest(); |
|
void Pnbm_hxky(), Pnbm_xky_rest(); |
|
void Pnbm_hv(), Pnbm_tv(), Pnbm_rest(),Pnbm_trest(); |
|
|
|
void Pquote_to_funargs(),Pfunargs_to_quote(),Pget_function_name(); |
|
void Pqt_match(),Pget_quote_id(); |
|
void Pqt_to_nary(),Pqt_to_bin(); |
|
void fnode_do_assign(NODE arg); |
|
void do_assign(NODE arg); |
void fnodetotex_tb(FNODE f,TB tb); |
void fnodetotex_tb(FNODE f,TB tb); |
char *symbol_name(char *name); |
char *symbol_name(char *name); |
char *conv_rule(char *name); |
char *conv_rule(char *name); |
Line 85 void tb_to_string(TB tb,STRING *rp); |
|
Line 124 void tb_to_string(TB tb,STRING *rp); |
|
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 qt_match(Obj f,Obj pat,NODE *rp); |
|
FNODE partial_eval(FNODE), fnode_to_nary(FNODE), fnode_to_bin(FNODE,int); |
|
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(Obj c,FNODE f,int expand); |
|
FNODE fnode_expand_pwr(FNODE f,int n,int expand); |
|
FNODE to_narymul(FNODE f); |
|
FNODE to_naryadd(FNODE f); |
|
FNODE fnode_node_to_nary(ARF op,NODE n); |
|
void fnode_base_exp(FNODE f,FNODE *bp,FNODE *ep); |
|
void fnode_coef_body(FNODE f,Obj *cp,FNODE *bp); |
|
FNODE nfnode_match_rewrite(FNODE f,FNODE p,FNODE c,FNODE a,int mode); |
|
FNODE fnode_apply(FNODE f,FNODE (*func)(),int expand); |
|
FNODE fnode_normalize(FNODE f,int expand); |
|
FNODE rewrite_fnode(FNODE f,NODE arg,int qarg); |
|
|
struct ftab str_tab[] = { |
struct ftab str_tab[] = { |
|
{"sprintf",Psprintf,-99999999}, |
{"rtostr",Prtostr,1}, |
{"rtostr",Prtostr,1}, |
{"strtov",Pstrtov,1}, |
{"strtov",Pstrtov,1}, |
{"eval_str",Peval_str,1}, |
{"eval_str",Peval_str,1}, |
Line 99 struct ftab str_tab[] = { |
|
Line 155 struct ftab str_tab[] = { |
|
{"clear_tb",Pclear_tb,1}, |
{"clear_tb",Pclear_tb,1}, |
{"tb_to_string",Ptb_to_string,1}, |
{"tb_to_string",Ptb_to_string,1}, |
{"string_to_tb",Pstring_to_tb,1}, |
{"string_to_tb",Pstring_to_tb,1}, |
|
{"get_quote_id",Pget_quote_id,1}, |
|
|
|
{"qt_is_var",Pqt_is_var,1}, |
|
{"qt_is_coef",Pqt_is_coef,1}, |
|
{"qt_is_number",Pqt_is_number,1}, |
|
{"qt_is_rational",Pqt_is_rational,1}, |
|
{"qt_is_integer",Pqt_is_integer,1}, |
|
{"qt_is_function",Pqt_is_function,1}, |
|
{"qt_is_dependent",Pqt_is_dependent,2}, |
|
|
|
{"qt_set_coef",Pqt_set_coef,-1}, |
|
{"qt_set_ord",Pqt_set_ord,-1}, |
|
{"qt_set_weight",Pqt_set_weight,-1}, |
|
{"qt_normalize",Pqt_normalize,-2}, |
|
{"qt_match",Pqt_match,2}, |
|
{"nqt_match_rewrite",Pnqt_match_rewrite,3}, |
|
|
|
{"nqt_weight",Pnqt_weight,1}, |
|
{"nqt_comp",Pnqt_comp,2}, |
|
{"nqt_match",Pnqt_match,-3}, |
|
{"qt_to_nbp",Pqt_to_nbp,1}, |
|
{"shuffle_mul",Pshuffle_mul,2}, |
|
{"harmonic_mul",Pharmonic_mul,2}, |
|
|
|
{"nbp_hm", Pnbp_hm,1}, |
|
{"nbp_ht", Pnbp_ht,1}, |
|
{"nbp_hc", Pnbp_hc,1}, |
|
{"nbp_rest", Pnbp_rest,1}, |
|
{"nbp_tm", Pnbp_tm,1}, |
|
{"nbp_tt", Pnbp_tt,1}, |
|
{"nbp_tc", Pnbp_tc,1}, |
|
{"nbp_trest", Pnbp_trest,1}, |
|
{"nbm_deg", Pnbm_deg,1}, |
|
{"nbm_index", Pnbm_index,1}, |
|
{"nbm_hxky", Pnbm_hxky,1}, |
|
{"nbm_xky_rest", Pnbm_xky_rest,1}, |
|
{"nbm_hp_rest", Pnbm_hp_rest,1}, |
|
{"nbm_hv", Pnbm_hv,1}, |
|
{"nbm_tv", Pnbm_tv,1}, |
|
{"nbm_rest", Pnbm_rest,1}, |
|
{"nbm_trest", Pnbm_trest,1}, |
|
|
|
{"qt_to_nary",Pqt_to_nary,1}, |
|
{"qt_to_bin",Pqt_to_bin,2}, |
|
|
{"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}, |
{"flatten_quote",Pflatten_quote,2}, |
{"flatten_quote",Pflatten_quote,-2}, |
|
{"quote_to_funargs",Pquote_to_funargs,1}, |
|
{"funargs_to_quote",Pfunargs_to_quote,1}, |
|
{"get_function_name",Pget_function_name,1}, |
{0,0,0}, |
{0,0,0}, |
}; |
}; |
|
|
Line 366 int register_conv_func(Obj arg) |
|
Line 470 int register_conv_func(Obj arg) |
|
if ( !arg ) { |
if ( !arg ) { |
convfunc = 0; |
convfunc = 0; |
return 1; |
return 1; |
} else if ( OID(arg) == O_P && (int)(VR((P)arg))->attr == V_SR ) { |
} else if ( OID(arg) == O_P && (long)(VR((P)arg))->attr == V_SR ) { |
convfunc = (FUNC)(VR((P)arg)->priv); |
convfunc = (FUNC)(VR((P)arg)->priv); |
/* f must be a function which takes single argument */ |
/* f must be a function which takes single argument */ |
return 1; |
return 1; |
Line 498 void Pwrite_to_tb(NODE arg,Q *rp) |
|
Line 602 void Pwrite_to_tb(NODE arg,Q *rp) |
|
*rp = 0; |
*rp = 0; |
} |
} |
|
|
|
void Pqt_to_nary(NODE arg,QUOTE *rp) |
|
{ |
|
FNODE f; |
|
|
|
f = fnode_to_nary(BDY((QUOTE)ARG0(arg))); |
|
MKQUOTE(*rp,f); |
|
} |
|
|
|
void Pqt_to_bin(NODE arg,QUOTE *rp) |
|
{ |
|
FNODE f; |
|
int direction; |
|
|
|
direction = QTOS((Q)ARG1(arg)); |
|
f = fnode_to_bin(BDY((QUOTE)ARG0(arg)),direction); |
|
|
|
MKQUOTE(*rp,f); |
|
} |
|
|
|
void Pqt_is_var(NODE arg,Q *rp) |
|
{ |
|
QUOTE q; |
|
int ret; |
|
|
|
q = (QUOTE)ARG0(arg); |
|
asir_assert(q,O_QUOTE,"qt_is_var"); |
|
ret = fnode_is_var(BDY(q)); |
|
STOQ(ret,*rp); |
|
} |
|
|
|
void Pqt_is_coef(NODE arg,Q *rp) |
|
{ |
|
QUOTE q; |
|
int ret; |
|
|
|
q = (QUOTE)ARG0(arg); |
|
asir_assert(q,O_QUOTE,"qt_is_coef"); |
|
ret = fnode_is_coef(BDY(q)); |
|
STOQ(ret,*rp); |
|
} |
|
|
|
void Pqt_is_number(NODE arg,Q *rp) |
|
{ |
|
QUOTE q; |
|
int ret; |
|
|
|
q = (QUOTE)ARG0(arg); |
|
asir_assert(q,O_QUOTE,"qt_is_number"); |
|
ret = fnode_is_number(BDY(q)); |
|
STOQ(ret,*rp); |
|
} |
|
|
|
void Pqt_is_rational(NODE arg,Q *rp) |
|
{ |
|
QUOTE q; |
|
int ret; |
|
|
|
q = (QUOTE)ARG0(arg); |
|
asir_assert(q,O_QUOTE,"qt_is_rational"); |
|
ret = fnode_is_rational(BDY(q)); |
|
STOQ(ret,*rp); |
|
} |
|
|
|
void Pqt_is_integer(NODE arg,Q *rp) |
|
{ |
|
QUOTE q; |
|
int ret; |
|
|
|
q = (QUOTE)ARG0(arg); |
|
asir_assert(q,O_QUOTE,"qt_is_integer"); |
|
ret = fnode_is_integer(BDY(q)); |
|
STOQ(ret,*rp); |
|
} |
|
|
|
void Pqt_is_function(NODE arg,Q *rp) |
|
{ |
|
QUOTE q; |
|
int ret; |
|
|
|
q = (QUOTE)ARG0(arg); |
|
asir_assert(q,O_QUOTE,"qt_is_function"); |
|
if ( q->id == I_FUNC || q->id == I_IFUNC ) |
|
ret = 1; |
|
else |
|
ret = 0; |
|
STOQ(ret,*rp); |
|
} |
|
|
|
void Pqt_is_dependent(NODE arg,Q *rp) |
|
{ |
|
P x; |
|
QUOTE q,v; |
|
int ret; |
|
V var; |
|
|
|
q = (QUOTE)ARG0(arg); |
|
v = (QUOTE)ARG1(arg); |
|
asir_assert(q,O_QUOTE,"qt_is_dependent"); |
|
asir_assert(v,O_QUOTE,"qt_is_dependent"); |
|
x = (P)eval(BDY(v)); |
|
if ( !x || OID(x) != O_P ) |
|
*rp = 0; |
|
var = VR(x); |
|
ret = fnode_is_dependent(BDY(q),var); |
|
STOQ(ret,*rp); |
|
} |
|
|
|
|
|
void Pqt_match(NODE arg,Q *rp) |
|
{ |
|
FNODE f,g; |
|
Obj obj; |
|
QUOTE q; |
|
NODE r; |
|
int ret; |
|
|
|
obj = (Obj)ARG0(arg); |
|
ret = qt_match(obj,(Obj)ARG1(arg),&r); |
|
if ( ret ) { |
|
do_assign(r); |
|
*rp = ONE; |
|
} else |
|
*rp = 0; |
|
} |
|
|
|
void Pnqt_match(NODE arg,Q *rp) |
|
{ |
|
QUOTE fq,pq; |
|
FNODE f,p; |
|
int ret; |
|
Q mode; |
|
NODE r; |
|
|
|
mode = argc(arg)==3 ? (Q)ARG2(arg) : 0; |
|
fq = (QUOTE)ARG0(arg); Pqt_normalize(mknode(2,fq,mode),&fq); f = (FNODE)BDY(fq); |
|
pq = (QUOTE)ARG1(arg); Pqt_normalize(mknode(2,pq,mode),&pq); p = (FNODE)BDY(pq); |
|
ret = nfnode_match(f,p,&r); |
|
if ( ret ) { |
|
fnode_do_assign(r); |
|
*rp = ONE; |
|
} else |
|
*rp = 0; |
|
} |
|
|
|
void Pnqt_match_rewrite(NODE arg,Obj *rp) |
|
{ |
|
FNODE f,p,c,a,r; |
|
Obj obj,pat,cond,action; |
|
NODE rule; |
|
QUOTE q; |
|
Q mode; |
|
int m; |
|
|
|
obj = (Obj)ARG0(arg); |
|
rule = BDY((LIST)ARG1(arg)); |
|
mode = (Q)ARG2(arg); |
|
if ( length(rule) == 2 ) { |
|
pat = ARG0(rule); |
|
cond = (Obj)ONE; |
|
action = (Obj)ARG1(rule); |
|
} else { |
|
pat = ARG0(rule); |
|
cond = ARG1(rule); |
|
action = (Obj)ARG2(rule); |
|
} |
|
Pqt_normalize(mknode(2,obj,mode),&q); f = (FNODE)BDY(q); |
|
Pqt_normalize(mknode(2,pat,mode),&q); p = (FNODE)BDY(q); |
|
Pqt_normalize(mknode(2,action,mode),&q); |
|
a = (FNODE)BDY(q); |
|
if ( OID(cond) == O_QUOTE ) c = BDY((QUOTE)cond); |
|
else c = mkfnode(1,I_FORMULA,ONE); |
|
|
|
m = QTOS(mode); |
|
r = nfnode_match_rewrite(f,p,c,a,m); |
|
if ( r ) { |
|
MKQUOTE(q,r); |
|
*rp = (Obj)q; |
|
} else |
|
*rp = obj; |
|
} |
|
|
|
/* f is NARYOP => do submatch */ |
|
|
|
#define PV_ANY 99999999 |
|
|
|
FNODE nfnode_match_rewrite(FNODE f,FNODE p,FNODE c,FNODE a,int mode) |
|
{ |
|
ARF op; |
|
NODE arg,h0,t,h,valuen; |
|
NODE r,s0,s,pair; |
|
FNODE any,pany,head,tail,a1,a2; |
|
QUOTE q; |
|
int ret; |
|
FNODE value; |
|
int ind; |
|
|
|
if ( f->id == I_NARYOP ) { |
|
op = (ARF)FA0(f); |
|
arg = (NODE)FA1(f); |
|
pany = 0; |
|
for ( h0 = 0, t = arg; t; t = NEXT(t) ) { |
|
tail = fnode_node_to_nary(op,t); |
|
ret = nfnode_match(tail,p,&r) && eval(rewrite_fnode(c,r,1)); |
|
if ( ret ) break; |
|
|
|
/* append a variable to the pattern */ |
|
if ( !pany ) { |
|
any = mkfnode(1,I_PVAR,PV_ANY); |
|
pany = mkfnode(3,I_BOP,op,p,any); |
|
pany = fnode_normalize(pany,mode); |
|
} |
|
ret = nfnode_match(tail,pany,&r) && eval(rewrite_fnode(c,r,1)); |
|
if ( ret ) { |
|
a = fnode_normalize(mkfnode(3,I_BOP,op,a,any),mode); |
|
break; |
|
} |
|
|
|
NEXTNODE(h0,h); |
|
BDY(h) = BDY(t); |
|
} |
|
if ( t ) { |
|
if ( h0 ) NEXT(h) = 0; |
|
head = fnode_node_to_nary(op,h0); |
|
a = fnode_normalize(mkfnode(3,I_BOP,op,head,a),mode); |
|
ret = 1; |
|
} else |
|
ret = 0; |
|
} else |
|
ret = nfnode_match(f,p,&r) && eval(rewrite_fnode(c,r,1)); |
|
|
|
if ( ret ) { |
|
a1 = rewrite_fnode(a,r,0); |
|
a2 = partial_eval(a1); |
|
return fnode_normalize(a2,mode); |
|
} else |
|
return 0; |
|
} |
|
|
|
void do_assign(NODE arg) |
|
{ |
|
NODE t,pair; |
|
int pv; |
|
|
|
QUOTE value; |
|
|
|
for ( t = arg; t; t = NEXT(t) ) { |
|
pair = BDY((LIST)BDY(t)); |
|
pv = (long)FA0((FNODE)BDY((QUOTE)BDY(pair))); |
|
value = (QUOTE)(BDY(NEXT(pair))); |
|
ASSPV(pv,value); |
|
} |
|
} |
|
|
|
/* [[index,fnode],...] */ |
|
|
|
void fnode_do_assign(NODE arg) |
|
{ |
|
NODE t,pair; |
|
int pv; |
|
FNODE f; |
|
QUOTE value; |
|
QUOTEARG qa; |
|
|
|
for ( t = arg; t; t = NEXT(t) ) { |
|
pair = (NODE)BDY(t); |
|
pv = (int)BDY(pair); |
|
f = (FNODE)(BDY(NEXT(pair))); |
|
if ( f->id == I_FUNC_HEAD ) { |
|
/* XXX : I_FUNC_HEAD is a dummy id to pass FUNC */ |
|
MKQUOTEARG(qa,A_func,FA0(f)); |
|
value = (QUOTE)qa; |
|
} else |
|
MKQUOTE(value,f); |
|
ASSPV(pv,value); |
|
} |
|
} |
|
|
|
/* |
|
/* consistency check and merge |
|
*/ |
|
|
|
int merge_matching_node(NODE n,NODE a,NODE *rp) |
|
{ |
|
NODE ta,ba,tn,bn; |
|
QUOTE pa,va,pn,vn; |
|
|
|
if ( !n ) { |
|
*rp = a; |
|
return 1; |
|
} |
|
for ( ta = a; ta; ta = NEXT(ta) ) { |
|
ba = BDY((LIST)BDY(ta)); |
|
if ( !ba ) continue; |
|
pa = (QUOTE)BDY(ba); va = (QUOTE)BDY(NEXT(ba)); |
|
for ( tn = n; tn; tn = NEXT(tn) ) { |
|
bn = BDY((LIST)BDY(tn)); |
|
if ( !bn ) continue; |
|
pn = (QUOTE)BDY(bn); vn = (QUOTE)BDY(NEXT(bn)); |
|
if ( !compquote(CO,pa,pn) ) { |
|
if ( !compquote(CO,va,vn) ) break; |
|
else return 0; |
|
} |
|
} |
|
if ( !tn ) { |
|
MKNODE(tn,(pointer)BDY(ta),n); |
|
n = tn; |
|
} |
|
} |
|
*rp = n; |
|
return 1; |
|
} |
|
|
|
int qt_match_node(NODE f,NODE pat,NODE *rp) { |
|
NODE r,a,tf,tp,r1; |
|
int ret; |
|
|
|
if ( length(f) != length(pat) ) return 0; |
|
r = 0; |
|
for ( tf = f, tp = pat; tf; tf = NEXT(tf), tp = NEXT(tp) ) { |
|
ret = qt_match((Obj)BDY(tf),(Obj)BDY(tp),&a); |
|
if ( !ret ) return 0; |
|
ret = merge_matching_node(r,a,&r1); |
|
if ( !ret ) return 0; |
|
else r = r1; |
|
} |
|
*rp = r; |
|
return 1; |
|
} |
|
|
|
/* f = [a,b,c,...] pat = [X,Y,...] rpat matches the rest of f */ |
|
|
|
int qt_match_cons(NODE f,NODE pat,Obj rpat,NODE *rp) { |
|
QUOTE q; |
|
Q id; |
|
FNODE fn; |
|
NODE r,a,tf,tp,r1,arg; |
|
int ret; |
|
LIST list,alist; |
|
|
|
/* matching of the head part */ |
|
if ( length(f) < length(pat) ) return 0; |
|
r = 0; |
|
for ( tf = f, tp = pat; tp; tf = NEXT(tf), tp = NEXT(tp) ) { |
|
ret = qt_match((Obj)BDY(tf),(Obj)BDY(tp),&a); |
|
if ( !ret ) return 0; |
|
ret = merge_matching_node(r,a,&r1); |
|
if ( !ret ) return 0; |
|
else r = r1; |
|
} |
|
/* matching of the rest */ |
|
MKLIST(list,tf); |
|
STOQ(I_LIST,id); a = mknode(2,id,list); |
|
MKLIST(alist,a); |
|
arg = mknode(1,alist); |
|
Pfunargs_to_quote(arg,&q); |
|
ret = qt_match((Obj)q,rpat,&a); |
|
if ( !ret ) return 0; |
|
ret = merge_matching_node(r,a,&r1); |
|
if ( !ret ) return 0; |
|
*rp = r1; |
|
return 1; |
|
} |
|
|
|
void get_quote_id_arg(QUOTE f,int *id,NODE *r) |
|
{ |
|
LIST fa; |
|
NODE arg,fab; |
|
|
|
arg = mknode(1,f); Pquote_to_funargs(arg,&fa); fab = BDY((LIST)fa); |
|
*id = QTOS((Q)BDY(fab)); *r = NEXT(fab); |
|
} |
|
|
|
/* *rp : [[quote(A),quote(1)],...] */ |
|
|
|
int qt_match(Obj f, Obj pat, NODE *rp) |
|
{ |
|
NODE tf,tp,head,body; |
|
NODE parg,farg,r; |
|
Obj rpat; |
|
LIST fa,l; |
|
int pid,id; |
|
FUNC ff,pf; |
|
int ret; |
|
QUOTE q; |
|
FNODE g; |
|
|
|
if ( !f ) |
|
if ( !pat ) { |
|
*rp = 0; return 1; |
|
} else |
|
return 0; |
|
else if ( OID(pat) == O_LIST ) { |
|
if ( OID(f) == O_LIST ) |
|
return qt_match_node(BDY((LIST)f),BDY((LIST)pat),rp); |
|
else |
|
return 0; |
|
} else if ( OID(pat) == O_QUOTE ) { |
|
pid = ((FNODE)BDY((QUOTE)pat))->id; |
|
switch ( pid ) { |
|
case I_FORMULA: |
|
if ( compquote(CO,f,pat) ) |
|
return 0; |
|
else { |
|
*rp = 0; return 1; |
|
} |
|
break; |
|
|
|
case I_LIST: case I_CONS: |
|
get_quote_id_arg((QUOTE)pat,&pid,&parg); |
|
if ( OID(f) == O_LIST ) |
|
tf = BDY((LIST)f); |
|
else if ( OID(f) == O_QUOTE |
|
&& ((FNODE)BDY((QUOTE)f))->id == pid ) { |
|
get_quote_id_arg((QUOTE)f,&id,&farg); |
|
tf = BDY((LIST)BDY(farg)); |
|
} else |
|
return 0; |
|
|
|
tp = BDY((LIST)BDY(parg)); |
|
if ( pid == I_LIST ) |
|
return qt_match_node(tf,tp,rp); |
|
else { |
|
rpat = (Obj)BDY(NEXT(parg)); |
|
return qt_match_cons(tf,tp,rpat,rp); |
|
} |
|
|
|
case I_PVAR: |
|
/* [[pat,f]] */ |
|
r = mknode(2,pat,f); MKLIST(l,r); |
|
*rp = mknode(1,l); |
|
return 1; |
|
|
|
case I_IFUNC: |
|
/* F(X,Y,...) = ... */ |
|
get_quote_id_arg((QUOTE)f,&id,&farg); |
|
get_quote_id_arg((QUOTE)pat,&pid,&parg); |
|
if ( id == I_FUNC ) { |
|
r = mknode(2,BDY(parg),BDY(farg)); MKLIST(l,r); |
|
head = mknode(1,l); |
|
ret = qt_match(BDY(NEXT(farg)), |
|
BDY(NEXT(parg)),&body); |
|
if ( !ret ) return 0; |
|
else return merge_matching_node(head,body,rp); |
|
} else |
|
return 0; |
|
|
|
case I_NARYOP: case I_BOP: case I_FUNC: |
|
/* X+Y = ... */ |
|
/* f(...) = ... */ |
|
if ( OID(f) != O_QUOTE ) return 0; |
|
id = ((FNODE)BDY((QUOTE)f))->id; |
|
if ( pid == I_FUNC ) |
|
; |
|
else { |
|
/* XXX converting to I_BOP */ |
|
if ( pid == I_NARYOP ) { |
|
g = fnode_to_bin(BDY((QUOTE)pat),1); |
|
MKQUOTE(q,g); pat = (Obj)q; |
|
} |
|
if ( id == I_NARYOP ) { |
|
g = fnode_to_bin(BDY((QUOTE)f),1); |
|
MKQUOTE(q,g); f = (Obj)q; |
|
} |
|
} |
|
get_quote_id_arg((QUOTE)pat,&pid,&parg); |
|
get_quote_id_arg((QUOTE)f,&id,&farg); |
|
if ( compqa(CO,BDY(farg),BDY(parg)) ) return 0; |
|
return qt_match_node(NEXT(farg),NEXT(parg),rp); |
|
|
|
default: |
|
if ( OID(f) != O_QUOTE ) return 0; |
|
id = ((FNODE)BDY((QUOTE)f))->id; |
|
if ( id != pid ) return 0; |
|
get_quote_id_arg((QUOTE)pat,&pid,&parg); |
|
get_quote_id_arg((QUOTE)f,&id,&farg); |
|
return qt_match_node(farg,parg,rp); |
|
} |
|
} |
|
} |
|
|
void Pquotetotex(NODE arg,STRING *rp) |
void Pquotetotex(NODE arg,STRING *rp) |
{ |
{ |
TB tb; |
TB tb; |
|
|
Obj *rp; |
Obj *rp; |
{ |
{ |
FNODE fnode; |
FNODE fnode; |
|
SNODE snode; |
char *cmd; |
char *cmd; |
#if defined(PARI) |
#if defined(PARI) |
void recover(int); |
void recover(int); |
|
|
# endif |
# endif |
#endif |
#endif |
cmd = BDY((STRING)ARG0(arg)); |
cmd = BDY((STRING)ARG0(arg)); |
|
#if 0 |
exprparse_create_var(0,cmd,&fnode); |
exprparse_create_var(0,cmd,&fnode); |
*rp = eval(fnode); |
*rp = eval(fnode); |
|
#else |
|
exprparse_create_var(0,cmd,&snode); |
|
*rp = evalstat(snode); |
|
#endif |
} |
} |
|
|
void Prtostr(arg,rp) |
void Prtostr(arg,rp) |
|
|
P *rp; |
P *rp; |
{ |
{ |
char *p; |
char *p; |
|
FUNC f; |
|
|
p = BDY((STRING)ARG0(arg)); |
p = BDY((STRING)ARG0(arg)); |
#if 0 |
#if 0 |
|
|
makevar(p,rp); |
makevar(p,rp); |
} |
} |
#else |
#else |
makevar(p,rp); |
gen_searchf_searchonly(p,&f); |
|
if ( f ) |
|
makesrvar(f,rp); |
|
else |
|
makevar(p,rp); |
#endif |
#endif |
} |
} |
|
|
Line 839 char *symbol_name(char *name) |
|
Line 1434 char *symbol_name(char *name) |
|
return 0; |
return 0; |
} |
} |
|
|
|
void Pget_function_name(NODE arg,STRING *rp) |
|
{ |
|
QUOTEARG qa; |
|
ARF f; |
|
char *opname; |
|
|
|
qa = (QUOTEARG)BDY(arg); |
|
if ( !qa || OID(qa) != O_QUOTEARG || qa->type != A_arf ) |
|
*rp = 0; |
|
else { |
|
f = (ARF)BDY(qa); |
|
opname = f->name; |
|
MKSTR(*rp,opname); |
|
} |
|
} |
|
|
|
FNODE strip_paren(FNODE); |
|
void objtotex_tb(Obj obj,TB tb); |
|
|
void fnodetotex_tb(FNODE f,TB tb) |
void fnodetotex_tb(FNODE f,TB tb) |
{ |
{ |
NODE n,t,t0; |
NODE n,t,t0,args; |
char vname[BUFSIZ],prefix[BUFSIZ]; |
char vname[BUFSIZ],prefix[BUFSIZ]; |
char *opname,*vname_conv,*prefix_conv; |
char *opname,*vname_conv,*prefix_conv; |
Obj obj; |
Obj obj; |
int i,len,allzero,elen,elen2,si; |
int i,len,allzero,elen,elen2,si; |
C cplx; |
|
char *r; |
char *r; |
FNODE fi,f2; |
FNODE fi,f2,f1; |
|
|
write_tb(" ",tb); |
write_tb(" ",tb); |
if ( !f ) { |
if ( !f ) { |
Line 878 void fnodetotex_tb(FNODE f,TB tb) |
|
Line 1491 void fnodetotex_tb(FNODE f,TB tb) |
|
/* otherwise => FA1(f), FA2(f) */ |
/* otherwise => FA1(f), FA2(f) */ |
case I_BOP: |
case I_BOP: |
opname = ((ARF)FA0(f))->name; |
opname = ((ARF)FA0(f))->name; |
if ( !strcmp(opname,"+") ) { |
switch ( opname[0] ) { |
fnodetotex_tb((FNODE)FA1(f),tb); |
case '+': |
if ( !top_is_minus((FNODE)FA2(f)) ) write_tb(opname,tb); |
fnodetotex_tb((FNODE)FA1(f),tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
if ( !top_is_minus((FNODE)FA2(f)) ) write_tb(opname,tb); |
} else if ( !strcmp(opname,"-") ) { |
fnodetotex_tb((FNODE)FA2(f),tb); |
if ( FA1(f) ) fnodetotex_tb((FNODE)FA1(f),tb); |
break; |
write_tb(opname,tb); |
case '-': |
fnodetotex_tb((FNODE)FA2(f),tb); |
if ( FA1(f) ) fnodetotex_tb((FNODE)FA1(f),tb); |
} else if ( !strcmp(opname,"*") ) { |
write_tb(opname,tb); |
fnodetotex_tb((FNODE)FA1(f),tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
write_tb(" ",tb); |
break; |
/* XXX special care for DP */ |
case '*': |
f2 = (FNODE)FA2(f); |
fnodetotex_tb((FNODE)FA1(f),tb); |
if ( f2->id == I_EV ) { |
write_tb(" ",tb); |
n = (NODE)FA0(f2); |
/* XXX special care for DP */ |
for ( i = 0; n; n = NEXT(n), i++ ) { |
f2 = (FNODE)FA2(f); |
fi = (FNODE)BDY(n); |
if ( f2->id == I_EV ) { |
if ( fi->id != I_FORMULA || FA0(fi) ) |
n = (NODE)FA0(f2); |
break; |
for ( i = 0; n; n = NEXT(n), i++ ) { |
} |
fi = (FNODE)BDY(n); |
if ( n ) |
if ( fi->id != I_FORMULA || FA0(fi) ) |
|
break; |
|
} |
|
if ( n ) |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
} else |
fnodetotex_tb((FNODE)FA2(f),tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
} else |
break; |
|
case '/': |
|
write_tb("\\frac{",tb); |
|
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb("} {",tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
} else if ( !strcmp(opname,"/") ) { |
write_tb("}",tb); |
write_tb("\\frac{",tb); |
break; |
fnodetotex_tb((FNODE)FA1(f),tb); |
case '^': |
write_tb("} {",tb); |
f1 = (FNODE)FA1(f); |
fnodetotex_tb((FNODE)FA2(f),tb); |
if ( fnode_is_var(f1) ) |
write_tb("}",tb); |
fnodetotex_tb(f1,tb); |
} else if ( !strcmp(opname,"^") ) { |
else { |
fnodetotex_tb((FNODE)FA1(f),tb); |
write_tb("(",tb); |
write_tb("^{",tb); |
fnodetotex_tb(f1,tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
write_tb(")",tb); |
write_tb("} ",tb); |
} |
} else if ( !strcmp(opname,"%") ) { |
write_tb("^{",tb); |
fnodetotex_tb((FNODE)FA1(f),tb); |
fnodetotex_tb(strip_paren((FNODE)FA2(f)),tb); |
write_tb(" {\\rm mod}\\, ",tb); |
write_tb("} ",tb); |
fnodetotex_tb((FNODE)FA2(f),tb); |
break; |
} else |
case '%': |
error("invalid binary operator"); |
fnodetotex_tb((FNODE)FA1(f),tb); |
|
write_tb(" {\\rm mod}\\, ",tb); |
|
fnodetotex_tb((FNODE)FA2(f),tb); |
|
break; |
|
default: |
|
error("invalid binary operator"); |
|
break; |
|
} |
break; |
break; |
|
case I_NARYOP: |
|
args = (NODE)FA1(f); |
|
switch ( OPNAME(f) ) { |
|
case '+': |
|
fnodetotex_tb((FNODE)BDY(args),tb); |
|
for ( args = NEXT(args); args; args = NEXT(args) ) { |
|
write_tb("+",tb); |
|
f1 = (FNODE)BDY(args); |
|
/* if ( fnode_is_var(f1) || IS_MUL(f1) ) |
|
fnodetotex_tb(f1,tb); |
|
else */ { |
|
write_tb("(",tb); |
|
fnodetotex_tb(f1,tb); |
|
write_tb(")",tb); |
|
} |
|
} |
|
break; |
|
case '*': |
|
f1 = (FNODE)BDY(args); |
|
if ( f1->id == I_FORMULA && MUNIQ(FA0(f1)) ) { |
|
write_tb("- ",tb); args = NEXT(args); |
|
} |
|
for ( ; args; args = NEXT(args) ) { |
|
f2 = (FNODE)BDY(args); |
|
if ( fnode_is_var(f2) || IS_BINARYPWR(f2) ) |
|
fnodetotex_tb(f2,tb); |
|
else { |
|
write_tb("(",tb); |
|
fnodetotex_tb(f2,tb); |
|
write_tb(")",tb); |
|
} |
|
} |
|
break; |
|
default: |
|
error("invalid nary op"); |
|
break; |
|
} |
|
break; |
|
|
case I_COP: |
case I_COP: |
switch( (cid)FA0(f) ) { |
switch( (cid)FA0(f) ) { |
Line 1143 void fnodetotex_tb(FNODE f,TB tb) |
|
Line 1810 void fnodetotex_tb(FNODE f,TB tb) |
|
|
|
/* internal object */ |
/* internal object */ |
case I_FORMULA: |
case I_FORMULA: |
obj = (Obj)FA0(f); |
objtotex_tb((Obj)FA0(f),tb); |
if ( !obj ) |
|
write_tb("0",tb); |
|
else if ( OID(obj) == O_N && NID(obj) == N_C ) { |
|
cplx = (C)obj; |
|
write_tb("(",tb); |
|
if ( cplx->r ) { |
|
r = objtostr((Obj)cplx->r); write_tb(r,tb); |
|
} |
|
if ( cplx->i ) { |
|
if ( cplx->r && compnum(0,cplx->i,0) > 0 ) { |
|
write_tb("+",tb); |
|
if ( !UNIQ(cplx->i) ) { |
|
r = objtostr((Obj)cplx->i); write_tb(r,tb); |
|
} |
|
} else if ( MUNIQ(cplx->i) ) |
|
write_tb("-",tb); |
|
else if ( !UNIQ(cplx->i) ) { |
|
r = objtostr((Obj)cplx->i); write_tb(r,tb); |
|
} |
|
write_tb("\\sqrt{-1}",tb); |
|
} |
|
write_tb(")",tb); |
|
} else if ( OID(obj) == O_P ) |
|
write_tb(conv_rule(VR((P)obj)->name),tb); |
|
else |
|
write_tb(objtostr(obj),tb); |
|
break; |
break; |
|
|
/* program variable */ |
/* program variable */ |
Line 1185 void fnodetotex_tb(FNODE f,TB tb) |
|
Line 1826 void fnodetotex_tb(FNODE f,TB tb) |
|
} |
} |
} |
} |
|
|
|
void objtotex_tb(Obj obj,TB tb) |
|
{ |
|
C cplx; |
|
char *r; |
|
P t; |
|
DCP dc; |
|
char *v; |
|
|
|
if ( !obj ) { |
|
write_tb("0",tb); |
|
return; |
|
} |
|
switch ( OID(obj) ) { |
|
case O_N: |
|
switch ( NID(obj) ) { |
|
case N_C: |
|
cplx = (C)obj; |
|
write_tb("(",tb); |
|
if ( cplx->r ) { |
|
r = objtostr((Obj)cplx->r); write_tb(r,tb); |
|
} |
|
if ( cplx->i ) { |
|
if ( cplx->r && compnum(0,cplx->i,0) > 0 ) { |
|
write_tb("+",tb); |
|
if ( !UNIQ(cplx->i) ) { |
|
r = objtostr((Obj)cplx->i); write_tb(r,tb); |
|
} |
|
} else if ( MUNIQ(cplx->i) ) |
|
write_tb("-",tb); |
|
else if ( !UNIQ(cplx->i) ) { |
|
r = objtostr((Obj)cplx->i); write_tb(r,tb); |
|
} |
|
write_tb("\\sqrt{-1}",tb); |
|
} |
|
write_tb(")",tb); |
|
break; |
|
default: |
|
write_tb(objtostr(obj),tb); |
|
break; |
|
} |
|
break; |
|
case O_P: |
|
v = conv_rule(VR((P)obj)->name); |
|
for ( dc = DC((P)obj); dc; dc = NEXT(dc) ) { |
|
if ( !DEG(dc) ) |
|
objtotex_tb((Obj)COEF(dc),tb); |
|
else { |
|
if ( NUM(COEF(dc)) && UNIQ((Q)COEF(dc)) ) |
|
; |
|
else if ( NUM(COEF(dc)) && MUNIQ((Q)COEF(dc)) ) |
|
write_tb("-",tb); |
|
else if ( NUM(COEF(dc)) || !NEXT(DC(COEF(dc)))) |
|
objtotex_tb((Obj)COEF(dc),tb); |
|
else { |
|
write_tb("(",tb); objtotex_tb((Obj)COEF(dc),tb); |
|
write_tb(")",tb); |
|
} |
|
write_tb(v,tb); |
|
if ( cmpq(DEG(dc),ONE) ) { |
|
write_tb("^",tb); |
|
if ( INT(DEG(dc)) && SGN(DEG(dc))>0 ) { |
|
write_tb("{",tb); |
|
objtotex_tb((Obj)DEG(dc),tb); |
|
write_tb("}",tb); |
|
} else { |
|
write_tb("{",tb); objtotex_tb((Obj)DEG(dc),tb); |
|
write_tb("}",tb); |
|
} |
|
} |
|
} |
|
if ( NEXT(dc) ) { |
|
t = COEF(NEXT(dc)); |
|
if ( !DEG(NEXT(dc)) ) { |
|
if ( NUM(t) ) { |
|
if ( !mmono(t) ) write_tb("+",tb); |
|
} else { |
|
if ( !mmono(COEF(DC(t))) ) write_tb("+",tb); |
|
} |
|
} else { |
|
if ( !mmono(t) ) write_tb("+",tb); |
|
} |
|
} |
|
} |
|
break; |
|
case O_R: |
|
write_tb("\\frac{",tb); |
|
objtotex_tb((Obj)NM((R)obj),tb); |
|
write_tb("}{",tb); |
|
objtotex_tb((Obj)DN((R)obj),tb); |
|
write_tb("}",tb); |
|
break; |
|
default: |
|
write_tb(objtostr(obj),tb); |
|
break; |
|
} |
|
} |
|
|
char *objtostr(Obj obj) |
char *objtostr(Obj obj) |
{ |
{ |
int len; |
int len; |
Line 1197 char *objtostr(Obj obj) |
|
Line 1935 char *objtostr(Obj obj) |
|
return r; |
return r; |
} |
} |
|
|
|
void Psprintf(NODE arg,STRING *rp) |
|
{ |
|
STRING string; |
|
char *s,*t,*r; |
|
int argc,n,len; |
|
NODE node; |
|
|
|
string = (STRING)ARG0(arg); |
|
asir_assert(string,O_STR,"sprintf"); |
|
s = BDY(string); |
|
for(n = 0, t = s; *t; t++) { |
|
if (*t=='%' && *(t+1)=='a') { |
|
n++; |
|
} |
|
} |
|
for(node = NEXT(arg), argc = 0, len = strlen(s); node; node = NEXT(node), argc++) { |
|
len += estimate_length(CO,BDY(node)); |
|
} |
|
if (argc < n) { |
|
error("sprintf: invalid argument"); |
|
} |
|
r = (char *)MALLOC_ATOMIC(len); |
|
for(node = NEXT(arg), t = r; *s; s++) { |
|
if (*s=='%' && *(s+1)=='a') { |
|
strcpy(t,objtostr(BDY(node))); |
|
node = NEXT(node); |
|
t = strchr(t,0); |
|
s++; |
|
}else { |
|
*t++ = *s; |
|
} |
|
} |
|
*t = 0; |
|
MKSTR(*rp,r); |
|
} |
|
|
void fnodenodetotex_tb(NODE n,TB tb) |
void fnodenodetotex_tb(NODE n,TB tb) |
{ |
{ |
for ( ; n; n = NEXT(n) ) { |
for ( ; n; n = NEXT(n) ) { |
Line 1264 int top_is_minus(FNODE f) |
|
Line 2038 int top_is_minus(FNODE f) |
|
case O_N: |
case O_N: |
return mmono((P)obj); |
return mmono((P)obj); |
case O_P: |
case O_P: |
|
#if 0 |
/* must be a variable */ |
/* must be a variable */ |
opname = conv_rule(VR((P)obj)->name); |
opname = conv_rule(VR((P)obj)->name); |
return opname[0]=='-'; |
return opname[0]=='-'; |
|
#else |
|
return mmono((P)obj); |
|
#endif |
default: |
default: |
/* ??? */ |
/* ??? */ |
len = estimate_length(CO,obj); |
len = estimate_length(CO,obj); |
Line 1276 int top_is_minus(FNODE f) |
|
Line 2054 int top_is_minus(FNODE f) |
|
return opname[0]=='-'; |
return opname[0]=='-'; |
} |
} |
} |
} |
|
case I_NARYOP: |
|
return top_is_minus((FNODE)BDY((NODE)FA1(f))); |
|
|
default: |
default: |
return 0; |
return 0; |
} |
} |
Line 1283 int top_is_minus(FNODE f) |
|
Line 2064 int top_is_minus(FNODE f) |
|
|
|
FNODE flatten_fnode(FNODE,char *); |
FNODE flatten_fnode(FNODE,char *); |
|
|
void Pflatten_quote(NODE arg,QUOTE *rp) |
void Pflatten_quote(NODE arg,Obj *rp) |
{ |
{ |
FNODE f; |
FNODE f; |
QUOTE q; |
QUOTE q; |
|
|
f = flatten_fnode(BDY((QUOTE)ARG0(arg)),BDY((STRING)ARG1(arg))); |
if ( !ARG0(arg) || OID((Obj)ARG0(arg)) != O_QUOTE ) |
MKQUOTE(q,f); |
*rp = (Obj)ARG0(arg); |
*rp = q; |
else if ( argc(arg) == 1 ) { |
|
f = flatten_fnode(BDY((QUOTE)ARG0(arg)),"+"); |
|
f = flatten_fnode(f,"*"); |
|
MKQUOTE(q,f); |
|
*rp = (Obj)q; |
|
} else { |
|
f = flatten_fnode(BDY((QUOTE)ARG0(arg)),BDY((STRING)ARG1(arg))); |
|
MKQUOTE(q,f); |
|
*rp = (Obj)q; |
|
} |
|
} |
|
|
|
void Pget_quote_id(NODE arg,Q *rp) |
|
{ |
|
FNODE f; |
|
QUOTE q; |
|
|
|
q = (QUOTE)ARG0(arg); |
|
if ( !q || OID(q) != O_QUOTE ) |
|
error("get_quote_id : invalid argument"); |
|
f = BDY(q); |
|
STOQ((int)f->id,*rp); |
|
} |
|
|
|
void Pquote_to_funargs(NODE arg,LIST *rp) |
|
{ |
|
fid_spec_p spec; |
|
QUOTE q; |
|
QUOTEARG qa; |
|
FNODE f; |
|
STRING s; |
|
QUOTE r; |
|
int i; |
|
Q id,a; |
|
LIST l; |
|
NODE t0,t,w,u,u0; |
|
|
|
q = (QUOTE)ARG0(arg); |
|
if ( !q || OID(q) != O_QUOTE ) |
|
error("quote_to_funargs : invalid argument"); |
|
f = BDY(q); |
|
if ( !f ) { |
|
MKLIST(*rp,0); |
|
return; |
|
} |
|
get_fid_spec(f->id,&spec); |
|
if ( !spec ) |
|
error("quote_to_funargs : not supported yet"); |
|
t0 = 0; |
|
STOQ((int)f->id,id); |
|
NEXTNODE(t0,t); |
|
BDY(t) = (pointer)id; |
|
for ( i = 0; spec->type[i] != A_end; i++ ) { |
|
NEXTNODE(t0,t); |
|
switch ( spec->type[i] ) { |
|
case A_fnode: |
|
MKQUOTE(r,(FNODE)f->arg[i]); |
|
BDY(t) = (pointer)r; |
|
break; |
|
case A_int: |
|
STOQ((int)f->arg[i],a); |
|
BDY(t) = (pointer)a; |
|
break; |
|
case A_str: |
|
MKSTR(s,(char *)f->arg[i]); |
|
BDY(t) = (pointer)s; |
|
break; |
|
case A_internal: |
|
BDY(t) = (pointer)f->arg[i]; |
|
break; |
|
case A_node: |
|
w = (NODE)f->arg[i]; |
|
for ( u0 = 0; w; w = NEXT(w) ){ |
|
NEXTNODE(u0,u); |
|
MKQUOTE(r,(FNODE)BDY(w)); |
|
BDY(u) = (pointer)r; |
|
} |
|
if ( u0 ) NEXT(u) = 0; |
|
MKLIST(l,u0); |
|
BDY(t) = (pointer)l; |
|
break; |
|
default: |
|
MKQUOTEARG(qa,spec->type[i],f->arg[i]); |
|
BDY(t) = (pointer)qa; |
|
break; |
|
} |
|
} |
|
if ( t0 ) NEXT(t) = 0; |
|
MKLIST(*rp,t0); |
|
} |
|
|
|
void Pfunargs_to_quote(NODE arg,QUOTE *rp) |
|
{ |
|
fid_spec_p spec; |
|
QUOTE q; |
|
QUOTEARG qa; |
|
FNODE f; |
|
STRING s; |
|
QUOTE r,b; |
|
int i; |
|
LIST l; |
|
fid id; |
|
Obj a; |
|
NODE t0,t,u0,u,w; |
|
|
|
l = (LIST)ARG0(arg); |
|
if ( !l || OID(l) != O_LIST || !(t=BDY(l)) ) |
|
error("funargs_to_quote : invalid argument"); |
|
t = BDY(l); |
|
id = (fid)QTOS((Q)BDY(t)); t = NEXT(t); |
|
get_fid_spec(id,&spec); |
|
if ( !spec ) |
|
error("funargs_to_quote : not supported yet"); |
|
for ( i = 0; spec->type[i] != A_end; i++ ); |
|
NEWFNODE(f,i); |
|
f->id = id; |
|
for ( i = 0; spec->type[i] != A_end; i++, t = NEXT(t) ) { |
|
if ( !t ) |
|
error("funargs_to_quote : argument mismatch"); |
|
a = (Obj)BDY(t); |
|
switch ( spec->type[i] ) { |
|
case A_fnode: |
|
if ( !a || OID(a) != O_QUOTE ) |
|
error("funargs_to_quote : invalid argument"); |
|
f->arg[i] = BDY((QUOTE)a); |
|
break; |
|
case A_int: |
|
if ( !INT(a) ) |
|
error("funargs_to_quote : invalid argument"); |
|
f->arg[i] = (pointer)QTOS((Q)a); |
|
break; |
|
case A_str: |
|
if ( !a || OID(a) != O_STR ) |
|
error("funargs_to_quote : invalid argument"); |
|
f->arg[i] = (pointer)BDY((STRING)a); |
|
break; |
|
case A_internal: |
|
f->arg[i] = (pointer)a; |
|
break; |
|
case A_node: |
|
if ( !a || OID(a) != O_LIST ) |
|
error("funargs_to_quote : invalid argument"); |
|
u0 = 0; |
|
for ( w = BDY((LIST)a); w; w = NEXT(w) ) { |
|
NEXTNODE(u0,u); |
|
b = (QUOTE)BDY(w); |
|
if ( !b || OID(b) != O_QUOTE ) |
|
error("funargs_to_quote : invalid argument"); |
|
BDY(u) = BDY(b); |
|
} |
|
if ( u0 ) NEXT(u) = 0; |
|
f->arg[i] = (pointer)u0; |
|
break; |
|
default: |
|
if ( !a || OID(a) != O_QUOTEARG || |
|
((QUOTEARG)a)->type != spec->type[i] ) |
|
error("funargs_to_quote : invalid argument"); |
|
f->arg[i] = BDY((QUOTEARG)a); |
|
break; |
|
} |
|
} |
|
MKQUOTE(*rp,f); |
|
} |
|
|
|
VL reordvars(VL vl0,NODE head) |
|
{ |
|
VL vl,svl,tvl; |
|
int i,j; |
|
NODE n; |
|
P t; |
|
V *va; |
|
V v; |
|
|
|
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; |
|
} |
|
|
|
struct wtab { |
|
V v; |
|
int w; |
|
}; |
|
|
|
struct wtab *qt_weight_tab; |
|
VL qt_current_ord, qt_current_coef; |
|
LIST qt_current_ord_obj,qt_current_coef_obj,qt_current_weight_obj; |
|
LIST qt_current_weight_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 if ( !ARG0(arg) ) { |
|
qt_current_ord_obj = 0; |
|
qt_current_ord = 0; |
|
} 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_set_weight(NODE arg,LIST *rp) |
|
{ |
|
NODE n,pair; |
|
int l,i; |
|
struct wtab *tab; |
|
|
|
if ( !argc(arg) ) |
|
*rp = qt_current_weight_obj; |
|
else if ( !ARG0(arg) ) { |
|
qt_current_weight_obj = 0; |
|
qt_weight_tab = 0; |
|
} else { |
|
n = BDY((LIST)ARG0(arg)); |
|
l = length(n); |
|
tab = qt_weight_tab = (struct wtab *)MALLOC((l+1)*sizeof(struct wtab)); |
|
for ( i = 0; i < l; i++, n = NEXT(n) ) { |
|
pair = BDY((LIST)BDY(n)); |
|
tab[i].v = VR((P)ARG0(pair)); |
|
tab[i].w = QTOS((Q)ARG1(pair)); |
|
} |
|
tab[i].v = 0; |
|
qt_current_weight_obj = (LIST)ARG0(arg); |
|
*rp = qt_current_weight_obj; |
|
} |
|
} |
|
|
|
void Pqt_set_coef(NODE arg,LIST *rp) |
|
{ |
|
NODE r0,r,n; |
|
VL vl0,vl; |
|
P v; |
|
|
|
if ( !argc(arg) ) |
|
*rp = qt_current_coef_obj; |
|
else if ( !ARG0(arg) ) { |
|
qt_current_coef_obj = 0; |
|
qt_current_coef = 0; |
|
} else { |
|
n = BDY((LIST)ARG0(arg)); |
|
for ( vl0 = 0, r0 = 0; n; n = NEXT(n) ) { |
|
NEXTNODE(r0,r); |
|
NEXTVL(vl0,vl); |
|
vl->v = VR((P)BDY(n)); |
|
MKV(vl->v,v); BDY(r) = v; |
|
} |
|
if ( r0 ) NEXT(r) = 0; |
|
if ( vl0 ) NEXT(vl) = 0; |
|
qt_current_coef = vl0; |
|
MKLIST(*rp,r0); |
|
qt_current_coef_obj = *rp; |
|
} |
|
} |
|
|
|
void Pqt_normalize(NODE arg,QUOTE *rp) |
|
{ |
|
QUOTE q,r; |
|
FNODE f; |
|
int expand,ac; |
|
|
|
ac = argc(arg); |
|
if ( !ac ) error("qt_normalize : invalid argument"); |
|
q = (QUOTE)ARG0(arg); |
|
if ( ac == 2 ) |
|
expand = QTOS((Q)ARG1(arg)); |
|
if ( !q || OID(q) != O_QUOTE ) |
|
*rp = q; |
|
else { |
|
f = fnode_normalize(BDY(q),expand); |
|
MKQUOTE(r,f); |
|
*rp = r; |
|
} |
|
} |
|
|
|
NBP fnode_to_nbp(FNODE f); |
|
|
|
void Pqt_to_nbp(NODE arg,NBP *rp) |
|
{ |
|
QUOTE q; |
|
FNODE f; |
|
|
|
q = (QUOTE)ARG0(arg); f = (FNODE)BDY(q); |
|
f = fnode_normalize(f,0); |
|
*rp = fnode_to_nbp(f); |
|
} |
|
|
|
void Pshuffle_mul(NODE arg,NBP *rp) |
|
{ |
|
NBP p1,p2; |
|
|
|
p1 = (NBP)ARG0(arg); |
|
p2 = (NBP)ARG1(arg); |
|
shuffle_mulnbp(CO,p1,p2,rp); |
|
} |
|
|
|
void Pharmonic_mul(NODE arg,NBP *rp) |
|
{ |
|
NBP p1,p2; |
|
|
|
p1 = (NBP)ARG0(arg); |
|
p2 = (NBP)ARG1(arg); |
|
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 = (P)ONE; m1->b = m->b; |
|
MKNODE(n,m1,0); |
|
MKNBP(*rp,n); |
|
} |
|
} |
|
|
|
void Pnbp_hc(NODE arg, P *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 Pnbp_tm(NODE arg, NBP *rp) |
|
{ |
|
NBP p; |
|
NODE n; |
|
NBM m; |
|
|
|
p = (NBP)ARG0(arg); |
|
if ( !p ) *rp = 0; |
|
else { |
|
for ( n = BDY(p); NEXT(n); n = NEXT(n) ); |
|
m = (NBM)BDY(n); |
|
MKNODE(n,m,0); |
|
MKNBP(*rp,n); |
|
} |
|
} |
|
|
|
void Pnbp_tt(NODE arg, NBP *rp) |
|
{ |
|
NBP p; |
|
NODE n; |
|
NBM m,m1; |
|
|
|
p = (NBP)ARG0(arg); |
|
if ( !p ) *rp = 0; |
|
else { |
|
for ( n = BDY(p); NEXT(n); n = NEXT(n) ); |
|
m = (NBM)BDY(n); |
|
NEWNBM(m1); |
|
m1->d = m->d; m1->c = (P)ONE; m1->b = m->b; |
|
MKNODE(n,m1,0); |
|
MKNBP(*rp,n); |
|
} |
|
} |
|
|
|
void Pnbp_tc(NODE arg, P *rp) |
|
{ |
|
NBP p; |
|
NBM m; |
|
NODE n; |
|
|
|
p = (NBP)ARG0(arg); |
|
if ( !p ) *rp = 0; |
|
else { |
|
for ( n = BDY(p); NEXT(n); n = NEXT(n) ); |
|
m = (NBM)BDY(n); |
|
*rp = m->c; |
|
} |
|
} |
|
|
|
void Pnbp_trest(NODE arg, NBP *rp) |
|
{ |
|
NBP p; |
|
NODE n,r,r0; |
|
|
|
p = (NBP)ARG0(arg); |
|
if ( !p ) *rp = 0; |
|
else { |
|
n = BDY(p); |
|
for ( r0 = 0; NEXT(n); n = NEXT(n) ) { |
|
NEXTNODE(r0,r); |
|
BDY(r) = (pointer)BDY(n); |
|
} |
|
if ( r0 ) { |
|
NEXT(r) = 0; |
|
MKNBP(*rp,r0); |
|
} else |
|
*rp = 0; |
|
} |
|
} |
|
|
|
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_index(NODE arg, Q *rp) |
|
{ |
|
NBP p; |
|
NBM m; |
|
unsigned int *b; |
|
int d,i,r; |
|
|
|
p = (NBP)ARG0(arg); |
|
if ( !p ) |
|
STOQ(0,*rp); |
|
else { |
|
m = (NBM)BDY(BDY(p)); |
|
d = m->d; |
|
if ( d > 32 ) |
|
error("nbm_index : weight too large"); |
|
b = m->b; |
|
for ( r = 0, i = d-2; i > 0; i-- ) |
|
if ( !NBM_GET(b,i) ) r |= (1<<(d-2-i)); |
|
STOQ(r,*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 = (P)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 = (P)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); |
|
} |
|
|
|
void Pnbm_tv(NODE arg, NBP *rp) |
|
{ |
|
NBP p; |
|
|
|
p = (NBP)ARG0(arg); |
|
if ( !p ) |
|
*rp = 0; |
|
else |
|
separate_tail_nbm((NBM)BDY(BDY(p)),0,0,rp); |
|
} |
|
|
|
void Pnbm_trest(NODE arg, NBP *rp) |
|
{ |
|
NBP p; |
|
|
|
p = (NBP)ARG0(arg); |
|
if ( !p ) |
|
*rp = 0; |
|
else |
|
separate_tail_nbm((NBM)BDY(BDY(p)),0,rp,0); |
|
} |
|
|
|
NBP fnode_to_nbp(FNODE f) |
|
{ |
|
Q r; |
|
int n,i; |
|
NBM m; |
|
V v; |
|
NBP u,u1,u2; |
|
NODE t,b; |
|
|
|
if ( f->id == I_FORMULA ) { |
|
r = eval(f); |
|
NEWNBM(m); |
|
if ( OID(r) == O_N ) { |
|
m->d = 0; m->c = (P)r; m->b = 0; |
|
} else { |
|
v = VR((P)r); |
|
m->d = 1; m->c = (P)ONE; NEWNBMBDY(m,1); |
|
if ( !strcmp(NAME(v),"x") ) NBM_SET(m->b,0); |
|
else NBM_CLR(m->b,0); |
|
} |
|
MKNODE(b,m,0); MKNBP(u,b); |
|
return u; |
|
} else if ( IS_NARYADD(f) ) { |
|
t = (NODE)FA1(f); u = fnode_to_nbp((FNODE)BDY(t)); |
|
for ( t = NEXT(t); t; t = NEXT(t) ) { |
|
u1 = fnode_to_nbp((FNODE)BDY(t)); |
|
addnbp(CO,u,u1,&u2); u = u2; |
|
} |
|
return u; |
|
} else if ( IS_NARYMUL(f) ) { |
|
t = (NODE)FA1(f); u = fnode_to_nbp((FNODE)BDY(t)); |
|
for ( t = NEXT(t); t; t = NEXT(t) ) { |
|
u1 = fnode_to_nbp((FNODE)BDY(t)); |
|
mulnbp(CO,u,u1,&u2); u = u2; |
|
} |
|
return u; |
|
} else if ( IS_BINARYPWR(f) ) { |
|
u = fnode_to_nbp((FNODE)FA1(f)); |
|
r = eval((FNODE)FA2(f)); |
|
pwrnbp(CO,u,r,&u1); |
|
return u1; |
|
} |
|
} |
|
|
|
void Pnqt_weight(NODE arg,Q *rp) |
|
{ |
|
QUOTE q; |
|
FNODE f; |
|
int w; |
|
|
|
q = (QUOTE)ARG0(arg); f = (FNODE)BDY(q); |
|
f = fnode_normalize(f,0); |
|
w = nfnode_weight(qt_weight_tab,f); |
|
STOQ(w,*rp); |
|
} |
|
|
|
void Pnqt_comp(NODE arg,Q *rp) |
|
{ |
|
QUOTE q1,q2; |
|
FNODE f1,f2; |
|
int r; |
|
|
|
q1 = (QUOTE)ARG0(arg); f1 = (FNODE)BDY(q1); |
|
q2 = (QUOTE)ARG1(arg); f2 = (FNODE)BDY(q2); |
|
f1 = fnode_normalize(f1,0); |
|
f2 = fnode_normalize(f2,0); |
|
r = nfnode_comp(f1,f2); |
|
STOQ(r,*rp); |
|
} |
|
|
|
int fnode_is_var(FNODE f) |
|
{ |
|
Obj obj; |
|
VL vl,t,s; |
|
DCP dc; |
|
|
|
if ( fnode_is_coef(f) ) return 0; |
|
switch ( f->id ) { |
|
case I_PAREN: |
|
return fnode_is_var(FA0(f)); |
|
|
|
case I_FORMULA: |
|
obj = FA0(f); |
|
if ( obj && OID(obj) == O_P ) { |
|
dc = DC((P)obj); |
|
if ( !cmpq(DEG(dc),ONE) && !NEXT(dc) |
|
&& !arf_comp(CO,(Obj)COEF(dc),(Obj)ONE) ) return 1; |
|
else return 0; |
|
} else return 0; |
|
|
|
default: |
|
return 0; |
|
} |
|
} |
|
|
|
int fnode_is_coef(FNODE f) |
|
{ |
|
Obj obj; |
|
VL vl,t,s; |
|
|
|
switch ( f->id ) { |
|
case I_MINUS: case I_PAREN: |
|
return fnode_is_coef(FA0(f)); |
|
|
|
case I_FORMULA: |
|
obj = FA0(f); |
|
if ( !obj ) return 1; |
|
else if ( OID(obj) == O_QUOTE ) |
|
return fnode_is_coef(BDY((QUOTE)obj)); |
|
else if ( NUM(obj) ) return 1; |
|
else if ( OID(obj) == O_P || OID(obj) == O_R) { |
|
get_vars_recursive(obj,&vl); |
|
for ( t = vl; t; t = NEXT(t) ) { |
|
if ( t->v->attr == (pointer)V_PF ) continue; |
|
for ( s = qt_current_coef; s; s = NEXT(s) ) |
|
if ( t->v == s->v ) break; |
|
if ( !s ) |
|
return 0; |
|
} |
|
return 1; |
|
} else return 0; |
|
|
|
case I_BOP: |
|
return fnode_is_coef(FA1(f)) && fnode_is_coef(FA2(f)); |
|
|
|
default: |
|
return 0; |
|
} |
|
} |
|
|
|
int fnode_is_number(FNODE f) |
|
{ |
|
Obj obj; |
|
|
|
switch ( f->id ) { |
|
case I_MINUS: case I_PAREN: |
|
return fnode_is_number(FA0(f)); |
|
|
|
case I_FORMULA: |
|
obj = FA0(f); |
|
if ( !obj ) return 1; |
|
else if ( OID(obj) == O_QUOTE ) |
|
return fnode_is_number(BDY((QUOTE)obj)); |
|
else if ( NUM(obj) ) return 1; |
|
else return 0; |
|
|
|
case I_BOP: |
|
return fnode_is_number(FA1(f)) && fnode_is_number(FA2(f)); |
|
|
|
default: |
|
return 0; |
|
} |
|
} |
|
|
|
int fnode_is_rational(FNODE f) |
|
{ |
|
Obj obj; |
|
|
|
switch ( f->id ) { |
|
case I_MINUS: case I_PAREN: |
|
return fnode_is_number(FA0(f)); |
|
|
|
case I_FORMULA: |
|
obj = FA0(f); |
|
if ( !obj ) return 1; |
|
else if ( OID(obj) == O_QUOTE ) |
|
return fnode_is_rational(BDY((QUOTE)obj)); |
|
else if ( NUM(obj) && RATN(obj) ) return 1; |
|
else return 0; |
|
|
|
case I_BOP: |
|
if ( !strcmp(((ARF)FA0(f))->name,"^") ) |
|
return fnode_is_rational(FA1(f)) && fnode_is_integer(FA2(f)); |
|
else |
|
return fnode_is_rational(FA1(f)) && fnode_is_rational(FA2(f)); |
|
|
|
default: |
|
return 0; |
|
} |
|
} |
|
|
|
int fnode_is_integer(FNODE f) |
|
{ |
|
Obj obj; |
|
|
|
switch ( f->id ) { |
|
case I_MINUS: case I_PAREN: |
|
return fnode_is_integer(FA0(f)); |
|
|
|
case I_FORMULA: |
|
obj = FA0(f); |
|
if ( !obj ) return 1; |
|
else if ( OID(obj) == O_QUOTE ) |
|
return fnode_is_integer(BDY((QUOTE)obj)); |
|
else if ( INT(obj)) return 1; |
|
else return 0; |
|
|
|
case I_BOP: |
|
switch ( ((ARF)FA0(f))->name[0] ) { |
|
case '^': |
|
return fnode_is_integer(FA1(f)) |
|
&& fnode_is_nonnegative_integer(FA2(f)); |
|
case '/': |
|
return fnode_is_integer(FA1(f)) && |
|
( fnode_is_one(FA2(f)) || fnode_is_minusone(FA2(f)) ); |
|
default: |
|
return fnode_is_integer(FA1(f)) && fnode_is_integer(FA2(f)); |
|
} |
|
break; |
|
|
|
default: |
|
return 0; |
|
} |
|
} |
|
|
|
int fnode_is_nonnegative_integer(FNODE f) |
|
{ |
|
Q n; |
|
|
|
n = eval(f); |
|
if ( !n || (INT(n) && SGN(n) > 0) ) return 1; |
|
else return 0; |
|
} |
|
|
|
int fnode_is_one(FNODE f) |
|
{ |
|
Q n; |
|
|
|
n = eval(f); |
|
if ( UNIQ(n) ) return 1; |
|
else return 0; |
|
} |
|
|
|
int fnode_is_minusone(FNODE f) |
|
{ |
|
Q n; |
|
|
|
n = eval(f); |
|
if ( MUNIQ(n) ) return 1; |
|
else return 0; |
|
} |
|
|
|
int fnode_is_dependent(FNODE f,V v) |
|
{ |
|
Obj obj; |
|
FNODE arg; |
|
NODE t; |
|
|
|
switch ( f->id ) { |
|
case I_MINUS: case I_PAREN: |
|
return fnode_is_dependent(FA0(f),v); |
|
|
|
case I_FORMULA: |
|
obj = FA0(f); |
|
if ( !obj ) return 0; |
|
else if ( OID(obj) == O_QUOTE ) |
|
return fnode_is_dependent(BDY((QUOTE)obj),v); |
|
else if ( obj_is_dependent(obj,v) ) return 1; |
|
else return 0; |
|
|
|
case I_BOP: |
|
return fnode_is_dependent(FA1(f),v) || fnode_is_dependent(FA2(f),v); |
|
|
|
case I_FUNC: |
|
arg = (FNODE)FA1(f); |
|
for ( t = FA0(arg); t; t = NEXT(t) ) |
|
if ( fnode_is_dependent(BDY(t),v) ) return 1; |
|
return 0; |
|
|
|
default: |
|
return 0; |
|
} |
|
} |
|
|
|
|
|
FNODE fnode_normalize(FNODE f,int expand) |
|
{ |
|
FNODE a1,a2,mone,r,b2; |
|
NODE n; |
|
Q q; |
|
|
|
if ( f->normalized && (f->expanded == expand) ) return f; |
|
STOQ(-1,q); |
|
mone = mkfnode(1,I_FORMULA,q); |
|
switch ( f->id ) { |
|
case I_PAREN: |
|
r = fnode_normalize(FA0(f),expand); |
|
break; |
|
|
|
case I_MINUS: |
|
r = nfnode_mul_coef((Obj)q, |
|
fnode_normalize(FA0(f),expand),expand); |
|
break; |
|
|
|
case I_BOP: |
|
/* arf fnode fnode */ |
|
a1 = fnode_normalize(FA1(f),expand); |
|
a2 = fnode_normalize(FA2(f),expand); |
|
switch ( OPNAME(f) ) { |
|
case '+': |
|
r = nfnode_add(a1,a2,expand); |
|
break; |
|
case '-': |
|
a2 = nfnode_mul_coef((Obj)q,a2,expand); |
|
r = nfnode_add(a1,a2,expand); |
|
break; |
|
case '*': |
|
r = nfnode_mul(a1,a2,expand); |
|
break; |
|
case '/': |
|
a2 = nfnode_pwr(a2,mone,expand); |
|
r = nfnode_mul(a1,a2,expand); |
|
break; |
|
case '^': |
|
r = nfnode_pwr(a1,a2,expand); |
|
break; |
|
default: |
|
r = mkfnode(3,I_BOP,FA0(f),a1,a2); |
|
break; |
|
} |
|
break; |
|
|
|
case I_NARYOP: |
|
switch ( OPNAME(f) ) { |
|
case '+': |
|
n = (NODE)FA1(f); |
|
r = fnode_normalize(BDY(n),expand); n = NEXT(n); |
|
for ( ; n; n = NEXT(n) ) { |
|
a1 = fnode_normalize(BDY(n),expand); |
|
r = nfnode_add(r,a1,expand); |
|
} |
|
break; |
|
case '*': |
|
n = (NODE)FA1(f); |
|
r = fnode_normalize(BDY(n),expand); n = NEXT(n); |
|
for ( ; n; n = NEXT(n) ) { |
|
a1 = fnode_normalize(BDY(n),expand); |
|
r = nfnode_mul(r,a1,expand); |
|
} |
|
break; |
|
default: |
|
error("fnode_normallize : cannot happen"); |
|
} |
|
break; |
|
|
|
default: |
|
return fnode_apply(f,fnode_normalize,expand); |
|
} |
|
r->normalized = 1; |
|
r->expanded = expand; |
|
return r; |
|
} |
|
|
|
FNODE fnode_apply(FNODE f,FNODE (*func)(),int expand) |
|
{ |
|
fid_spec_p spec; |
|
FNODE r; |
|
int i,n; |
|
NODE t,t0,s; |
|
|
|
get_fid_spec(f->id,&spec); |
|
for ( n = 0; spec->type[n] != A_end; n++ ); |
|
NEWFNODE(r,n); r->id = f->id; |
|
for ( i = 0; i < n; i++ ) { |
|
switch ( spec->type[i] ) { |
|
case A_fnode: |
|
r->arg[i] = func(f->arg[i],expand); |
|
break; |
|
case A_node: |
|
s = (NODE)f->arg[i]; |
|
for ( t0 = 0; s; s = NEXT(s) ) { |
|
NEXTNODE(t0,t); |
|
BDY(t) = (pointer)func((FNODE)BDY(s),expand); |
|
} |
|
if ( t0 ) NEXT(t) = 0; |
|
r->arg[i] = t0; |
|
break; |
|
default: |
|
r->arg[i] = f->arg[i]; |
|
break; |
|
} |
|
} |
|
return r; |
|
} |
|
|
|
FNODE nfnode_add(FNODE f1,FNODE f2,int expand) |
|
{ |
|
NODE n1,n2,r0,r; |
|
FNODE b1,b2; |
|
int s; |
|
Obj c1,c2,c; |
|
|
|
if ( IS_ZERO(f1) ) return f2; |
|
else if ( IS_ZERO(f2) ) return f1; |
|
f1 = to_naryadd(f1); f2 = to_naryadd(f2); |
|
n1 = (NODE)FA1(f1); n2 = (NODE)FA1(f2); |
|
r0 = 0; |
|
while ( n1 && n2 ) { |
|
fnode_coef_body(BDY(n1),&c1,&b1); fnode_coef_body(BDY(n2),&c2,&b2); |
|
if ( (s = nfnode_comp(b1,b2)) > 0 ) { |
|
NEXTNODE(r0,r); BDY(r) = BDY(n1); n1 = NEXT(n1); |
|
} else if ( s < 0 ) { |
|
NEXTNODE(r0,r); BDY(r) = BDY(n2); n2 = NEXT(n2); |
|
} else { |
|
arf_add(CO,c1,c2,&c); |
|
if ( c ) { |
|
NEXTNODE(r0,r); BDY(r) = nfnode_mul_coef(c,b1,expand); |
|
} |
|
n1 = NEXT(n1); n2 = NEXT(n2); |
|
} |
|
} |
|
if ( n1 ) |
|
if ( r0 ) NEXT(r) = n1; |
|
else r0 = n1; |
|
else if ( n2 ) |
|
if ( r0 ) NEXT(r) = n2; |
|
else r0 = n2; |
|
else if ( r0 ) |
|
NEXT(r) = 0; |
|
|
|
return fnode_node_to_nary(addfs,r0); |
|
} |
|
|
|
FNODE fnode_node_to_nary(ARF op,NODE n) |
|
{ |
|
if ( !n ) { |
|
if ( op->name[0] == '+' ) |
|
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 nfnode_mul(FNODE f1,FNODE f2,int expand) |
|
{ |
|
NODE n1,n2,r0,r,r1; |
|
FNODE b1,b2,e1,e2,cc,t,t1; |
|
FNODE *m; |
|
int s; |
|
Obj c1,c2,c,e; |
|
int l1,l,i,j; |
|
|
|
if ( IS_ZERO(f1) || IS_ZERO(f2) ) return mkfnode(1,I_FORMULA,0); |
|
else if ( fnode_is_coef(f1) ) |
|
return nfnode_mul_coef((Obj)eval(f1),f2,expand); |
|
else if ( fnode_is_coef(f2) ) |
|
return nfnode_mul_coef((Obj)eval(f2),f1,expand); |
|
|
|
if ( expand && IS_NARYADD(f1) ) { |
|
t = mkfnode(1,I_FORMULA,0); |
|
for ( n1 = (NODE)FA1(f1); n1; n1 = NEXT(n1) ) { |
|
t1 = nfnode_mul(BDY(n1),f2,expand); |
|
t = nfnode_add(t,t1,expand); |
|
} |
|
return t; |
|
} |
|
if ( expand && IS_NARYADD(f2) ) { |
|
t = mkfnode(1,I_FORMULA,0); |
|
for ( n2 = (NODE)FA1(f2); n2; n2 = NEXT(n2) ) { |
|
t1 = nfnode_mul(f1,BDY(n2),expand); |
|
t = nfnode_add(t,t1,expand); |
|
} |
|
return t; |
|
} |
|
|
|
fnode_coef_body(f1,&c1,&b1); fnode_coef_body(f2,&c2,&b2); |
|
arf_mul(CO,c1,c2,&c); |
|
if ( !c ) return mkfnode(1,I_FORMULA,0); |
|
|
|
|
|
n1 = (NODE)FA1(to_narymul(b1)); n2 = (NODE)FA1(to_narymul(b2)); |
|
l1 = length(n1); l = l1+length(n2); |
|
m = (FNODE *)ALLOCA(l*sizeof(FNODE)); |
|
for ( r = n1, i = 0; i < l1; r = NEXT(r), i++ ) m[i] = BDY(r); |
|
for ( r = n2; r; r = NEXT(r) ) { |
|
if ( i == 0 ) |
|
m[i++] = BDY(r); |
|
else { |
|
fnode_base_exp(m[i-1],&b1,&e1); fnode_base_exp(BDY(r),&b2,&e2); |
|
if ( compfnode(b1,b2) ) break; |
|
arf_add(CO,eval(e1),eval(e2),&e); |
|
if ( !e ) i--; |
|
else if ( expand == 2 ) { |
|
if ( INT(e) && SGN((Q)e) < 0 ) { |
|
t1 = mkfnode(3,I_BOP,pwrfs,b1,mkfnode(1,I_FORMULA,e)); |
|
/* r=(r0|rest)->(r0,t1|rest) */ |
|
t = BDY(r); |
|
MKNODE(r1,t1,NEXT(r)); |
|
MKNODE(r,t,r1); |
|
i--; |
|
} else |
|
m[i++] = BDY(r); |
|
} else if ( UNIQ(e) ) |
|
m[i-1] = b1; |
|
else |
|
m[i-1] = mkfnode(3,I_BOP,pwrfs,b1,mkfnode(1,I_FORMULA,e)); |
|
} |
|
} |
|
for ( j = i-1; j >= 0; j-- ) { |
|
MKNODE(r1,m[j],r); r = r1; |
|
} |
|
if ( !UNIQ(c) ) { |
|
cc = mkfnode(1,I_FORMULA,c); MKNODE(r1,cc,r); r = r1; |
|
} |
|
return fnode_node_to_nary(mulfs,r); |
|
} |
|
|
|
FNODE nfnode_pwr(FNODE f1,FNODE f2,int expand) |
|
{ |
|
FNODE b,b1,e1,e,cc,r,mf2,mone,inv; |
|
Obj c,c1; |
|
Num nf2; |
|
int ee; |
|
NODE arg,n,t0,t1; |
|
Q q; |
|
|
|
if ( IS_ZERO(f2) ) return mkfnode(1,I_FORMULA,ONE); |
|
else if ( IS_ZERO(f1) ) return mkfnode(1,I_FORMULA,0); |
|
else if ( fnode_is_coef(f1) ) { |
|
if ( fnode_is_integer(f2) ) { |
|
if ( fnode_is_one(f2) ) return f1; |
|
else { |
|
arf_pwr(CO,eval(f1),(Obj)eval(f2),&c); |
|
return mkfnode(1,I_FORMULA,c); |
|
} |
|
} else { |
|
f1 = mkfnode(1,I_FORMULA,eval(f1)); |
|
return mkfnode(3,I_BOP,pwrfs,f1,f2); |
|
} |
|
} else if ( IS_BINARYPWR(f1) ) { |
|
b1 = FA1(f1); e1 = FA2(f1); |
|
e = nfnode_mul(e1,f2,expand); |
|
if ( fnode_is_one(e) ) |
|
return b1; |
|
else |
|
return mkfnode(3,I_BOP,FA0(f1),b1,e); |
|
} else if ( expand && IS_NARYMUL(f1) && fnode_is_number(f2) |
|
&& fnode_is_integer(f2) ) { |
|
fnode_coef_body(f1,&c1,&b1); |
|
nf2 = (Num)eval(f2); |
|
arf_pwr(CO,c1,(Obj)nf2,&c); |
|
ee = QTOS((Q)nf2); |
|
cc = mkfnode(1,I_FORMULA,c); |
|
if ( fnode_is_nonnegative_integer(f2) ) |
|
b = fnode_expand_pwr(b1,ee,expand); |
|
else { |
|
STOQ(-1,q); |
|
mone = mkfnode(1,I_FORMULA,q); |
|
b1 = to_narymul(b1); |
|
for ( t0 = 0, n = (NODE)FA1(b1); n; n = NEXT(n) ) { |
|
inv = mkfnode(3,I_BOP,pwrfs,BDY(n),mone); |
|
MKNODE(t1,inv,t0); t0 = t1; |
|
} |
|
b1 = fnode_node_to_nary(mulfs,t0); |
|
b = fnode_expand_pwr(b1,-ee,expand); |
|
} |
|
if ( fnode_is_one(cc) ) |
|
return b; |
|
else |
|
return fnode_node_to_nary(mulfs,mknode(2,cc,b)); |
|
} else if ( expand && fnode_is_integer(f2) |
|
&& fnode_is_nonnegative_integer(f2) ) { |
|
q = (Q)eval(f2); |
|
if ( PL(NM(q)) > 1 ) error("nfnode_pwr : exponent too large"); |
|
return fnode_expand_pwr(f1,QTOS(q),expand); |
|
} else |
|
return mkfnode(3,I_BOP,pwrfs,f1,f2); |
|
} |
|
|
|
FNODE fnode_expand_pwr(FNODE f,int n,int expand) |
|
{ |
|
int n1,i; |
|
FNODE f1,f2,fn; |
|
Q q; |
|
|
|
if ( !n ) return mkfnode(1,I_FORMULA,ONE); |
|
else if ( IS_ZERO(f) ) return mkfnode(1,I_FORMULA,0); |
|
else if ( n == 1 ) return f; |
|
else { |
|
switch ( expand ) { |
|
case 1: |
|
n1 = n/2; |
|
f1 = fnode_expand_pwr(f,n1,expand); |
|
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); |
|
} |
|
} |
|
} |
|
|
|
/* f = b^e */ |
|
void fnode_base_exp(FNODE f,FNODE *bp,FNODE *ep) |
|
{ |
|
if ( IS_BINARYPWR(f) ) { |
|
*bp = FA1(f); *ep = FA2(f); |
|
} else { |
|
*bp = f; *ep = mkfnode(1,I_FORMULA,ONE); |
|
} |
|
} |
|
|
|
FNODE to_naryadd(FNODE f) |
|
{ |
|
FNODE r; |
|
NODE n; |
|
|
|
if ( IS_NARYADD(f) ) return f; |
|
|
|
NEWFNODE(r,2); r->id = I_NARYOP; |
|
FA0(r) = addfs; MKNODE(n,f,0); FA1(r) = n; |
|
return r; |
|
} |
|
|
|
FNODE to_narymul(FNODE f) |
|
{ |
|
FNODE r; |
|
NODE n; |
|
|
|
if ( IS_NARYMUL(f) ) return f; |
|
|
|
NEWFNODE(r,2); r->id = I_NARYOP; |
|
FA0(r) = mulfs; MKNODE(n,f,0); FA1(r) = n; |
|
return r; |
|
} |
|
|
|
FNODE nfnode_mul_coef(Obj c,FNODE f,int expand) |
|
{ |
|
FNODE b1,cc; |
|
Obj c1,c2; |
|
NODE n,r,r0; |
|
|
|
if ( !c ) |
|
return mkfnode(I_FORMULA,0); |
|
else { |
|
fnode_coef_body(f,&c1,&b1); |
|
arf_mul(CO,c,c1,&c2); |
|
if ( UNIQ(c2) ) return b1; |
|
else { |
|
cc = mkfnode(1,I_FORMULA,c2); |
|
if ( fnode_is_number(b1) ) { |
|
if ( !fnode_is_one(b1) ) |
|
error("nfnode_mul_coef : cannot happen"); |
|
else |
|
return cc; |
|
} else if ( IS_NARYMUL(b1) ) { |
|
MKNODE(n,cc,FA1(b1)); |
|
return fnode_node_to_nary(mulfs,n); |
|
} else if ( expand && IS_NARYADD(b1) ) { |
|
for ( r0 = 0, n = (NODE)FA1(b1); n; n = NEXT(n) ) { |
|
NEXTNODE(r0,r); |
|
BDY(r) = nfnode_mul_coef(c2,BDY(n),expand); |
|
} |
|
if ( r0 ) NEXT(r) = 0; |
|
return fnode_node_to_nary(addfs,r0); |
|
} else |
|
return fnode_node_to_nary(mulfs,mknode(2,cc,b1)); |
|
} |
|
} |
|
} |
|
|
|
void fnode_coef_body(FNODE f,Obj *cp,FNODE *bp) |
|
{ |
|
FNODE c; |
|
|
|
if ( fnode_is_coef(f) ) { |
|
*cp = (Obj)eval(f); *bp = mkfnode(1,I_FORMULA,ONE); |
|
} else if ( IS_NARYMUL(f) ) { |
|
c=(FNODE)BDY((NODE)FA1(f)); |
|
if ( fnode_is_coef(c) ) { |
|
*cp = (Obj)eval(c); |
|
*bp = fnode_node_to_nary(mulfs,NEXT((NODE)FA1(f))); |
|
} else { |
|
*cp = (Obj)ONE; *bp = f; |
|
} |
|
} else { |
|
*cp = (Obj)ONE; *bp = f; |
|
} |
|
} |
|
|
|
int nfnode_weight(struct wtab *tab,FNODE f) |
|
{ |
|
NODE n; |
|
int w,w1; |
|
int i; |
|
Q a2; |
|
V v; |
|
|
|
switch ( f->id ) { |
|
case I_FORMULA: |
|
if ( fnode_is_coef(f) ) return 0; |
|
else if ( fnode_is_var(f) ) { |
|
if ( !tab ) return 0; |
|
v = VR((P)FA0(f)); |
|
for ( i = 0; tab[i].v; i++ ) |
|
if ( v == tab[i].v ) return tab[i].w; |
|
return 0; |
|
} else return 0; |
|
|
|
/* XXX */ |
|
case I_PVAR: return 1; |
|
/* XXX */ |
|
case I_FUNC: I_FUNC: I_FUNC_QARG: |
|
/* w(f) = 1 */ |
|
/* w(f(a1,...,an)=w(a1)+...+w(an) */ |
|
n = FA0((FNODE)FA1(f)); |
|
for ( w = 0; n; n = NEXT(n) ) |
|
w += nfnode_weight(tab,BDY(n)); |
|
return w; |
|
case I_NARYOP: |
|
n = (NODE)FA1(f); |
|
if ( IS_NARYADD(f) ) |
|
for ( w = nfnode_weight(tab,BDY(n)), |
|
n = NEXT(n); n; n = NEXT(n) ) { |
|
w1 = nfnode_weight(tab,BDY(n)); |
|
w = MAX(w,w1); |
|
} |
|
else |
|
for ( w = 0; n; n = NEXT(n) ) |
|
w += nfnode_weight(tab,BDY(n)); |
|
return w; |
|
case I_BOP: |
|
/* must be binary power */ |
|
/* XXX w(2^x)=0 ? */ |
|
if ( fnode_is_rational(FA2(f)) ) { |
|
a2 = (Q)eval(FA2(f)); |
|
w = QTOS(a2); |
|
} else |
|
w = nfnode_weight(tab,FA2(f)); |
|
return nfnode_weight(tab,FA1(f))*w; |
|
default: |
|
error("nfnode_weight : not_implemented"); |
|
} |
|
} |
|
|
|
int nfnode_comp(FNODE f1,FNODE f2) |
|
{ |
|
int w1,w2; |
|
|
|
if ( qt_weight_tab ) { |
|
w1 = nfnode_weight(qt_weight_tab,f1); |
|
w2 = nfnode_weight(qt_weight_tab,f2); |
|
if ( w1 > w2 ) return 1; |
|
if ( w1 < w2 ) return -1; |
|
} |
|
return nfnode_comp_lex(f1,f2); |
|
} |
|
|
|
int nfnode_comp_lex(FNODE f1,FNODE f2) |
|
{ |
|
NODE n1,n2; |
|
int r,i1,i2,ret; |
|
char *nm1,*nm2; |
|
FNODE b1,b2,e1,e2,g,a1,a2,fn1,fn2,h1,h2; |
|
Num ee,ee1; |
|
Obj c1,c2; |
|
int w1,w2; |
|
|
|
if ( IS_NARYADD(f1) || IS_NARYADD(f2) ) { |
|
f1 = to_naryadd(f1); f2 = to_naryadd(f2); |
|
n1 = (NODE)FA1(f1); n2 = (NODE)FA1(f2); |
|
for ( ; n1 && n2; n1 = NEXT(n1), n2 = NEXT(n2) ) { |
|
r = nfnode_comp_lex(BDY(n1),BDY(n2)); |
|
if ( r ) return r; |
|
} |
|
if ( !n1 && !n2 ) return 0; |
|
h1 = n1 ? (FNODE)BDY(n1) : mkfnode(1,I_FORMULA,0); |
|
h2 = n2 ? (FNODE)BDY(n2) : mkfnode(1,I_FORMULA,0); |
|
return nfnode_comp_lex(h1,h2); |
|
} |
|
if ( IS_NARYMUL(f1) || IS_NARYMUL(f2) ) { |
|
fnode_coef_body(f1,&c1,&b1); |
|
fnode_coef_body(f2,&c2,&b2); |
|
if ( !compfnode(b1,b2) ) return arf_comp(CO,c1,c2); |
|
b1 = to_narymul(b1); b2 = to_narymul(b2); |
|
n1 = (NODE)FA1(b1); n2 = (NODE)FA1(b2); |
|
for ( ; n1 && n2; n1 = NEXT(n1), n2 = NEXT(n2) ) { |
|
r = nfnode_comp_lex(BDY(n1),BDY(n2)); |
|
if ( r ) return r; |
|
} |
|
if ( !n1 && !n2 ) return 0; |
|
h1 = n1 ? (FNODE)BDY(n1) : mkfnode(1,I_FORMULA,ONE); |
|
h2 = n2 ? (FNODE)BDY(n2) : mkfnode(1,I_FORMULA,ONE); |
|
return nfnode_comp_lex(h1,h2); |
|
} |
|
if ( IS_BINARYPWR(f1) || IS_BINARYPWR(f2) ) { |
|
fnode_base_exp(f1,&b1,&e1); |
|
fnode_base_exp(f2,&b2,&e2); |
|
if ( r = nfnode_comp_lex(b1,b2) ) { |
|
if ( r > 0 ) |
|
return nfnode_comp_lex(e1,mkfnode(1,I_FORMULA,0)); |
|
else if ( r < 0 ) |
|
return nfnode_comp_lex(mkfnode(1,I_FORMULA,0),e2); |
|
} else return nfnode_comp_lex(e1,e2); |
|
} |
|
|
|
/* now, IDs of f1 and f2 must be I_FORMULA, I_FUNC, I_IFUNC or I_PVAR */ |
|
/* I_IFUNC > I_PVAR > I_FUNC=I_FUNC_QARG > I_FORMULA */ |
|
switch ( f1->id ) { |
|
case I_FORMULA: |
|
switch ( f2->id ) { |
|
case I_FORMULA: |
|
return arf_comp(qt_current_ord?qt_current_ord:CO,FA0(f1),FA0(f2)); |
|
case I_FUNC: case I_IFUNC: case I_PVAR: |
|
return -1; |
|
default: |
|
error("nfnode_comp_lex : undefined"); |
|
} |
|
break; |
|
case I_FUNC: case I_FUNC_QARG: |
|
switch ( f2->id ) { |
|
case I_FORMULA: |
|
return 1; |
|
case I_PVAR: case I_IFUNC: |
|
return -1; |
|
case I_FUNC: case I_FUNC_QARG: |
|
nm1 = ((FUNC)FA0(f1))->name; nm2 = ((FUNC)FA0(f2))->name; |
|
r = strcmp(nm1,nm2); |
|
if ( r > 0 ) return 1; |
|
else if ( r < 0 ) return -1; |
|
else { |
|
/* compare args */ |
|
n1 = FA0((FNODE)FA1(f1)); n2 = FA0((FNODE)FA1(f2)); |
|
while ( n1 && n2 ) |
|
if ( r = nfnode_comp_lex(BDY(n1),BDY(n2)) ) return r; |
|
else { |
|
n1 = NEXT(n1); n2 = NEXT(n2); |
|
} |
|
return n1?1:(n2?-1:0); |
|
} |
|
break; |
|
default: |
|
error("nfnode_comp_lex : undefined"); |
|
} |
|
case I_PVAR: |
|
switch ( f2->id ) { |
|
case I_FORMULA: case I_FUNC: case I_FUNC_QARG: |
|
return 1; |
|
case I_IFUNC: |
|
return -1; |
|
case I_PVAR: |
|
i1 = (int)FA0(f1); i2 = (int)FA0(f2); |
|
if ( i1 > i2 ) return 1; |
|
else if ( i1 < i2 ) return -1; |
|
else return 0; |
|
default: |
|
error("nfnode_comp_lex : undefined"); |
|
} |
|
break; |
|
case I_IFUNC: |
|
switch ( f2->id ) { |
|
case I_FORMULA: case I_FUNC: case I_FUNC_QARG: case I_PVAR: |
|
return 1; |
|
case I_IFUNC: |
|
i1 = (int)FA0((FNODE)FA0(f1)); |
|
i2 = (int)FA0((FNODE)FA0(f2)); |
|
if ( i1 > i2 ) return 1; |
|
else if ( i1 < i2 ) return -1; |
|
else { |
|
/* compare args */ |
|
n1 = FA0((FNODE)FA1(f1)); n2 = FA0((FNODE)FA1(f2)); |
|
while ( n1 && n2 ) |
|
if ( r = nfnode_comp_lex(BDY(n1),BDY(n2)) ) return r; |
|
else { |
|
n1 = NEXT(n1); n2 = NEXT(n2); |
|
} |
|
return n1?1:(n2?-1:0); |
|
} |
|
break; |
|
|
|
default: |
|
error("nfnode_comp_lex : undefined"); |
|
} |
|
break; |
|
default: |
|
error("nfnode_comp_lex : undefined"); |
|
} |
|
} |
|
|
|
NODE append_node(NODE a1,NODE a2) |
|
{ |
|
NODE t,t0; |
|
|
|
if ( !a1 ) |
|
return a2; |
|
else { |
|
for ( t0 = 0; a1; a1 = NEXT(a1) ) { |
|
NEXTNODE(t0,t); BDY(t) = BDY(a1); |
|
} |
|
NEXT(t) = a2; |
|
return t0; |
|
} |
|
} |
|
|
|
int nfnode_match(FNODE f,FNODE pat,NODE *rp) |
|
{ |
|
NODE m,m1,m2,base,exp,fa,pa,n; |
|
LIST l; |
|
QUOTE qp,qf; |
|
FNODE fbase,fexp,a,fh; |
|
FUNC ff,pf; |
|
int r; |
|
|
|
if ( !pat ) |
|
if ( !f ) { |
|
*rp = 0; |
|
return 1; |
|
} else |
|
return 0; |
|
else if ( !f ) |
|
return 0; |
|
switch ( pat->id ) { |
|
case I_PVAR: |
|
/* [[pat,f]] */ |
|
*rp = mknode(1,mknode(2,(int)FA0(pat),f)); |
|
return 1; |
|
|
|
case I_FORMULA: |
|
if ( f->id == I_FORMULA && !arf_comp(CO,(Obj)FA0(f),(Obj)FA0(pat)) ) { |
|
*rp = 0; return 1; |
|
} else |
|
return 0; |
|
|
|
case I_BOP: |
|
/* OPNAME should be "^" */ |
|
if ( !IS_BINARYPWR(pat) ) |
|
error("nfnode_match : invalid BOP"); |
|
if ( IS_BINARYPWR(f) ) { |
|
fbase = FA1(f); fexp = FA2(f); |
|
} else { |
|
fbase = f; fexp = mkfnode(1,I_FORMULA,ONE); |
|
} |
|
if ( !nfnode_match(fbase,FA1(pat),&base) ) return 0; |
|
a = rewrite_fnode(FA2(pat),base,0); |
|
if ( !nfnode_match(fexp,a,&exp) ) return 0; |
|
else { |
|
*rp = append_node(base,exp); |
|
return 1; |
|
} |
|
break; |
|
|
|
case I_FUNC: case I_IFUNC: |
|
if ( f->id != I_FUNC ) return 0; |
|
ff = (FUNC)FA0(f); |
|
if ( pat->id == I_FUNC ) { |
|
pf = (FUNC)FA0(pat); |
|
if ( strcmp(ff->fullname,pf->fullname) ) return 0; |
|
m = 0; |
|
} else { |
|
/* XXX : I_FUNC_HEAD is a dummy id to pass FUNC */ |
|
fh = mkfnode(1,I_FUNC_HEAD,FA0(f)); |
|
m = mknode(1,mknode(2,FA0((FNODE)FA0(pat)),fh),0); |
|
} |
|
/* FA1(f) and FA1(pat) are I_LIST */ |
|
fa = (NODE)FA0((FNODE)FA1(f)); |
|
pa = (NODE)FA0((FNODE)FA1(pat)); |
|
while ( fa && pa ) { |
|
a = rewrite_fnode(BDY(pa),m,0); |
|
if ( !nfnode_match(BDY(fa),a,&m1) ) return 0; |
|
m = append_node(m1,m); |
|
fa = NEXT(fa); pa = NEXT(pa); |
|
} |
|
if ( fa || pa ) return 0; |
|
else { |
|
*rp = m; |
|
return 1; |
|
} |
|
|
|
case I_NARYOP: |
|
if ( IS_NARYADD(pat) ) |
|
return nfnode_match_naryadd(f,pat,rp); |
|
else if ( IS_NARYMUL(pat) ) |
|
return nfnode_match_narymul(f,pat,rp); |
|
else |
|
error("nfnode_match : invalid NARYOP"); |
|
break; |
|
|
|
default: |
|
error("nfnode_match : invalid pattern"); |
|
} |
|
} |
|
|
|
/* remove i-th element */ |
|
|
|
FNODE fnode_removeith_naryadd(FNODE p,int i) |
|
{ |
|
int k,l; |
|
NODE t,r0,r,a; |
|
|
|
a = (NODE)FA1(p); |
|
l = length(a); |
|
if ( i < 0 || i >= l ) error("fnode_removeith_naryadd: invalid index"); |
|
else if ( i == 0 ) |
|
return fnode_node_to_nary(addfs,NEXT(a)); |
|
else { |
|
for ( r0 = 0, k = 0, t = a; k < i; k++, t = NEXT(t) ) { |
|
NEXTNODE(r0,r); |
|
BDY(r) = BDY(t); |
|
} |
|
NEXT(r) = NEXT(t); |
|
return fnode_node_to_nary(addfs,r0); |
|
} |
|
|
|
} |
|
|
|
/* a0,...,a(i-1) */ |
|
FNODE fnode_left_narymul(FNODE p,int i) |
|
{ |
|
int k,l; |
|
NODE t,r0,r,a; |
|
|
|
a = (NODE)FA1(p); |
|
l = length(a); |
|
if ( i < 0 || i >= l ) error("fnode_left_narymul : invalid index"); |
|
if ( i == 0 ) return 0; |
|
else if ( i == 1 ) return (FNODE)BDY(a); |
|
else { |
|
for ( r0 = 0, k = 0, t = a; k < i; k++, t = NEXT(t) ) { |
|
NEXTNODE(r0,r); |
|
BDY(r) = BDY(t); |
|
} |
|
NEXT(r) = 0; |
|
return fnode_node_to_nary(mulfs,r0); |
|
} |
|
} |
|
|
|
/* a(i+1),...,a(l-1) */ |
|
FNODE fnode_right_narymul(FNODE p,int i) |
|
{ |
|
NODE a,t; |
|
int l,k; |
|
|
|
a = (NODE)FA1(p); |
|
l = length(a); |
|
if ( i < 0 || i >= l ) error("fnode_right_narymul : invalid index"); |
|
if ( i == l-1 ) return 0; |
|
else { |
|
for ( k = 0, t = a; k <= i; k++, t = NEXT(t) ); |
|
return fnode_node_to_nary(mulfs,t); |
|
} |
|
} |
|
|
|
int nfnode_match_naryadd(FNODE f,FNODE p,NODE *rp) |
|
{ |
|
int fl,pl,fi,pi; |
|
NODE fa,pa,t,s,m,m1; |
|
FNODE fr,pr,prr,pivot; |
|
|
|
f = to_naryadd(f); |
|
fa = (NODE)FA1(f); fl = length(fa); |
|
pa = (NODE)FA1(p); pl = length(pa); |
|
if ( fl < pl ) return 0; |
|
else if ( pl == 1 ) { |
|
if ( fl == 1 ) |
|
return nfnode_match(BDY(fa),BDY(pa),rp); |
|
else |
|
return 0; |
|
} else { |
|
for ( t = pa, pi = 0; t; t = NEXT(t), pi++ ) |
|
if ( ((FNODE)BDY(t))->id != I_PVAR ) break; |
|
if ( !t ) { |
|
/* all are I_PVAR */ |
|
m = 0; |
|
for ( t = pa, s = fa; NEXT(t); t = NEXT(t), s = NEXT(s) ) { |
|
nfnode_match(BDY(s),BDY(t),&m1); |
|
m = append_node(m1,m); |
|
} |
|
if ( !NEXT(s) ) |
|
fr = (FNODE)BDY(s); |
|
else |
|
fr = mkfnode(2,I_NARYOP,FA0(f),s); |
|
nfnode_match(fr,BDY(t),&m1); |
|
*rp = append_node(m1,m); |
|
return 1; |
|
} else { |
|
pivot = (FNODE)BDY(t); |
|
pr = fnode_removeith_naryadd(p,pi); |
|
for ( s = fa, fi = 0; s; s = NEXT(s), fi++ ) { |
|
if ( nfnode_match(BDY(s),pivot,&m) ) { |
|
fr = fnode_removeith_naryadd(f,fi); |
|
prr = rewrite_fnode(pr,m,0); |
|
if ( nfnode_match(fr,prr,&m1) ) { |
|
*rp = append_node(m,m1); |
|
return 1; |
|
} |
|
} |
|
} |
|
return 0; |
|
} |
|
} |
|
} |
|
|
|
int nfnode_match_narymul(FNODE f,FNODE p,NODE *rp) |
|
{ |
|
int fl,pl,fi,pi; |
|
NODE fa,pa,t,s,m,m1; |
|
FNODE fr,pr,pleft,pleft1,pright,pright1,fleft,fright,pivot; |
|
|
|
f = to_narymul(f); |
|
fa = (NODE)FA1(f); fl = length(fa); |
|
pa = (NODE)FA1(p); pl = length(pa); |
|
if ( fl < pl ) return 0; |
|
else if ( pl == 1 ) { |
|
if ( fl == 1 ) |
|
return nfnode_match(BDY(fa),BDY(pa),rp); |
|
else |
|
return 0; |
|
} else { |
|
for ( t = pa, pi = 0; t; t = NEXT(t), pi++ ) |
|
if ( ((FNODE)BDY(t))->id != I_PVAR ) break; |
|
if ( !t ) { |
|
/* all are I_PVAR */ |
|
m = 0; |
|
for ( t = pa, s = fa; NEXT(t); t = NEXT(t), s = NEXT(s) ) { |
|
pr = rewrite_fnode(BDY(t),m,0); |
|
if ( !nfnode_match(BDY(s),pr,&m1) ) return 0; |
|
m = append_node(m1,m); |
|
} |
|
if ( !NEXT(s) ) |
|
fr = (FNODE)BDY(s); |
|
else |
|
fr = mkfnode(2,I_NARYOP,FA0(f),s); |
|
pr = rewrite_fnode(BDY(t),m,0); |
|
if ( !nfnode_match(fr,pr,&m1) ) return 0; |
|
*rp = append_node(m1,m); |
|
return 1; |
|
} else { |
|
pivot = (FNODE)BDY(t); |
|
pleft = fnode_left_narymul(p,pi); |
|
pright = fnode_right_narymul(p,pi); |
|
/* XXX : incomplete */ |
|
for ( s = fa, fi = 0; s; s = NEXT(s), fi++ ) { |
|
if ( fi < pi ) continue; |
|
if ( nfnode_match(BDY(s),pivot,&m) ) { |
|
fleft = fnode_left_narymul(f,fi); |
|
pleft1 = rewrite_fnode(pleft,m,0); |
|
if ( nfnode_match(fleft,pleft1,&m1) ) { |
|
m = append_node(m1,m); |
|
fright = fnode_right_narymul(f,fi); |
|
pright1 = rewrite_fnode(pright,m,0); |
|
if ( nfnode_match(fright,pright1,&m1) ) { |
|
*rp = append_node(m1,m); |
|
return 1; |
|
} |
|
} |
|
} |
|
} |
|
return 0; |
|
} |
|
} |
|
} |
|
|
|
NODE nfnode_pvars(FNODE pat,NODE found) |
|
{ |
|
int ind; |
|
NODE prev,t; |
|
int *pair; |
|
|
|
switch ( pat->id ) { |
|
case I_PVAR: |
|
ind = (int)FA0(pat); |
|
for ( prev = 0, t = found; t; prev = t, t = NEXT(t) ) { |
|
pair = (int *)BDY(t); |
|
if ( pair[0] == ind ) { |
|
pair[1]++; |
|
return found; |
|
} |
|
} |
|
pair = (int *)MALLOC_ATOMIC(sizeof(int)*2); |
|
pair[0] = ind; pair[1] = 1; |
|
if ( !prev ) |
|
MKNODE(found,pair,0); |
|
else |
|
MKNODE(NEXT(prev),pair,0); |
|
return found; |
|
|
|
case I_FORMULA: |
|
return found; |
|
|
|
case I_BOP: |
|
/* OPNAME should be "^" */ |
|
if ( !IS_BINARYPWR(pat) ) |
|
error("nfnode_pvar : invalid BOP"); |
|
found = nfnode_pvars(FA1(pat),found); |
|
found = nfnode_pvars(FA2(pat),found); |
|
return found; |
|
|
|
case I_FUNC: |
|
t = (NODE)FA0((FNODE)FA1(pat)); |
|
for ( ; t; t = NEXT(t) ) |
|
found = nfnode_pvars(BDY(t),found); |
|
return found; |
|
|
|
case I_NARYOP: |
|
t = (NODE)FA1(pat); |
|
for ( ; t; t = NEXT(t) ) |
|
found = nfnode_pvars(BDY(t),found); |
|
return found; |
|
|
|
default: |
|
error("nfnode_match : invalid pattern"); |
|
} |
} |
} |